1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472 3473 3474 3475 3476 3477 3478 3479 3480 3481 3482 3483 3484 3485 3486 3487 3488 3489 3490 3491 3492 3493 3494 3495 3496 3497 3498 3499 3500 3501 3502 3503 3504 3505 3506 3507 3508 3509 3510 3511 3512 3513 3514 3515 3516 3517 3518 3519 3520 3521 3522 3523 3524 3525 3526 3527 3528 3529 3530 3531 3532 3533 3534 3535 3536 3537 3538 3539 3540 3541 3542 3543 3544 3545 3546 3547 3548 3549 3550 3551 3552 3553 3554 3555 3556 3557 3558 3559 3560 3561 3562 3563 3564 3565 3566 3567 3568 3569 3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581 3582 3583 3584 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597 3598 3599 3600 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610 3611 3612 3613 3614 3615 3616 3617 3618 3619 3620 3621 3622 3623 3624 3625 3626 3627 3628 3629 3630 3631 3632 3633 3634 3635 3636 3637 3638 3639 3640 3641 3642 3643 3644 3645 3646 3647 3648 3649 3650 3651 3652 3653 3654 3655 3656 3657 3658 3659 3660 3661 3662 3663 3664 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755 3756 3757 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775 3776 3777 3778 3779 3780 3781 3782 3783 3784 3785 3786 3787 3788 3789 3790 3791 3792 3793 3794 3795 3796 3797 3798 3799 3800 3801 3802 3803 3804 3805 3806 3807 3808 3809 3810 3811 3812 3813 3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840 3841 3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855 3856 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883 3884 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898 3899 3900 3901 3902 3903 3904 3905 3906 3907 3908 3909 3910 3911 3912 3913 3914 3915 3916 3917 3918 3919 3920 3921 3922 3923 3924 3925 3926 3927 3928 3929 3930 3931 3932 3933 3934 3935 3936 3937 3938 3939 3940 3941 3942 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952 3953 3954 3955 3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968 3969 3970 3971 3972 3973 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983 3984 3985 3986 3987 3988 3989 3990 3991 3992 3993 3994 3995 3996 3997 3998 3999 4000 4001 4002 4003 4004 4005 4006 4007 4008 4009 4010 4011 4012 4013 4014 4015 4016 4017 4018 4019 4020 4021 4022 4023 4024 4025 4026 4027 4028 4029 4030 4031 4032 4033 4034 4035 4036 4037 4038 4039 4040 4041 4042 4043 4044 4045 4046 4047 4048 4049 4050 4051 4052 4053 4054 4055 4056 4057 4058 4059 4060 4061 4062 4063 4064 4065 4066 4067 4068 4069 4070 4071 4072 4073 4074 4075 4076 4077 4078 4079 4080 4081 4082 4083 4084 4085 4086 4087 4088 4089 4090 4091 4092 4093 4094 4095 4096 4097 4098 4099 4100 4101 4102 4103 4104 4105 4106 4107 4108 4109 4110 4111 4112 4113 4114 4115 4116 4117 4118 4119 4120 4121 4122 4123 4124 4125 4126 4127 4128 4129 4130 4131 4132 4133 4134 4135 4136 4137 4138 4139 4140 4141 4142 4143 4144 4145 4146 4147 4148 4149 4150 4151 4152 4153 4154 4155 4156 4157 4158 4159 4160 4161 4162 4163 4164
|
\documentclass{article}
\usepackage{epsfig}
\usepackage{color}
\usepackage{hyperref}
\usepackage{html}
\usepackage{/usr/share/texmf/tex/latex/html/html}
\begin{document}
\title{CalculiX USER'S MANUAL\\ - CalculiX GraphiX, Version 2.21 -}
\author{Klaus Wittig}
\maketitle
\begin{figure}[h]
\epsfig{file=jetengine.eps,width=12cm}
\caption{\label{cover} A complex model made from scratch using second order brick elements }
\end{figure}
\newpage
\tableofcontents
\section{Introduction}
This document is the description of CalculiX GraphiX (cgx). This program is designed to generate and display finite elements (FE) and results coming from CalculiX CrunchiX (ccx). If you have any problems using cgx, this document should solve them. If not, you might send an email to the author \cite{cgx}. The Concept and File Format sections give some background on functionality and mesher capabilities. The Getting Started section describes how to run the verification examples you should have obtained along with the code of the program. You might use this section to check whether you installed CalculiX correctly. Then, a detailed overview is given of the menu and all the available keywords in alphabetical order in the Menu and Commands sections respectively. Finally, the User's Manual ends with the appendix and some references used while writing the code.
\section{Concept}
This program uses the openGL library for visualization and the glut library \cite{glut} for window management and event handling. This results in very high speed if a hardware-accelerated openGL-library is available and still high speed for software-rendering (MesaGL,\cite{mesa}).
The cgx has pre- and post-processor capabilities. It is able to generate and display beam, shell and brick elements in its linear and quadratic form (fig. \ref{cover}), tets can be generated from within cgx if either TETGEN \cite{TETGEN} or the program ng\_vol (part of NETGEN \cite{NETGEN}) is accessible (see also ''\htmlref{How to deal with CAD-geometry}{How to deal with CAD-geometry}''). TETGEN comes with cgx.
The built-in mesher creates a structured mesh based on a description of the geometry. For example, it uses lines for beam elements, surfaces for shell elements and volumes (bodies) for brick elements. The program distinguishes between the mesh and the underlying geometry. Elements are made from faces and faces are made from nodes. If you move a node, the corresponding face(s) and element(s) will follow. The geometry behaves according to the mesh:
Lines are made from points, surfaces are made from lines and bodies are made of surfaces. As a result, if you modify the position of a point, all related geometry will follow. In other words, if the location of geometric entities is changed, it is necessary to move the points on which the entities rely. It should be noted that faces exist only on free surfaces of the model.
In addition, entities can be grouped together to make sets. Sets are useful to handle parts of a model. For example, sets can be used to manipulate or display a few entities at a time (see also ''\htmlref{How to define a set of entities}{How to define a set of entities}'').
A simple but powerful entity which can store values (character strings) is also available. This values can be derived from previous commands or calculated results by using an internal stack. Simple calculations can be performed. The values can be used to substitute parameters of subsequent commands. The user might measure a distance or calculate a distance and use this value to move a part of the mesh. Together with a 'while' loop, an 'if' case distinguishing command and the possibility to use system calls via the 'sys' command, elaborated batch files can be written.
After a mesh is created in cgx, it needs written to a file for use with the solver. Likewise, several boundary conditions and loads can be written to files (see ''\htmlref{How to connect independent meshes}{How to connect independent meshes}'', ''\htmlref{How to define loads and constraints}{How to define loads and constraints}'' and ''\htmlref{send}{send}''). These files need to be added into the control file for later use in ccx. Additional commands, material description and so on must be added with the help of an external editor. Existing fields like a pressure distribution or temperatures my be mapped from one mesh to another. Please see ''\htmlref{How to map loads}{How to map loads}'' how to do that.
After the analysis is completed, the results can be visualized by calling the cgx program again in an independent session. The program is primary controlled by the keyboard with individual commands for each function. Only a subset of commands which are most important for post-processing is also available through a pop-up menu. Shaded animations of static and dynamic results, the common color plots and time history plots can be created. The outer faces can be switched off to make inner structures like a cavity visible or certain faces may be displayed in a transparent manner. Also, a cut through the model can be done which creates a section and it is possible to zoom through the model.
Skilled users might include their own functions. For example someone may need his own functions to manipulate the result-data or he may need an interface to read or write his own results format (see ''\htmlref{call}{call}'').
Both the pre- and post- processing can be automated in batch-mode (see ''\htmlref{How to run cgx in batch mode}{How to run cgx in batch mode}'').
The program searches the home directoy for a file named ``.cgx'' (see ``\htmlref{Customization}{Customization}''). The commands written there will be executed during startup. The user might store there ''\htmlref{menu}{menu}'' commands which link user written command files to the menu or other personal settings like ``\htmlref{view}{view} cl'' to switch the command line from the konsole to the graphic's window. Also the helpfiles, the browser and the psviewer (for graphs) can be redefined (see ``\htmlref{asgn}{asgn}'').
\section{\label{File Formats}File Formats}
It is hoped by the author that common CAD formats will be supported by stand-alone interfaces which translate into fbd-commands. So far vda, step and iges to fbd interfaces are available on the CalculiX home pages. Tet-meshes can be generated based on the resulting fbd-files. The following file-formats are available to write(w) and/or read(r) geometric entities:
\begin{itemize}
\item fbd-format(r/w), this format consists of a collection of commands explained in the section ''\htmlref{Commands}{Commands}'' and it is used to store geometrical information like points, lines, surfaces and bodies. All geometry generated by the user is stored in this format. But it can also be used to define a batch job which uses the available commands.
\item step-format(r), reverse engineered based on some cad files. Only points and certain types of lines are supported currently. Be aware of the more powefull cad2fbd interface program on the CalculiX home page.
\item stl-format in ascii (r/w) and binary, this format describes a shape using only triangles.
\end{itemize}
The following file-formats are available to write a mesh and certain boundary-conditions:
\begin{itemize}
\item Abaqus, which is used by the CalculiX solver ccx.
\item Ansys, most boundary conditions available.
\item Code\_Aster, mesh and sets of nodes and elements are available.
\item Samcef, mesh and sets of nodes and elements are available.
\item dolfyn, a free cfd-code \cite{dolfyn}.
\item duns, a free cfd-code \cite{duns}.
\item isaac, a free cfd-code \cite{isaac}.
\item OpenFOAM, a free cfd-code \cite{OpenFOAM}, only 8-noded brick-elements are supported.
\item Nastran, most boundary conditions available.
\item tochnog, a free fem-code \cite{tochnog}, only 8-noded brick-elements are supported.
\end{itemize}
The following solver-input-file-formats can be read to check the mesh, sets and certain boundary-conditions:
\begin{itemize}
\item Abaqus, this is also used by the CalculiX solver ccx.
\item Netgen, read Netgen native format (.vol)
\end{itemize}
The following file-formats are available to read solver results:
\begin{itemize}
\item frd-format, files of this format are used to read results of previous calculations like displacements and stresses. This format is described in section ''\htmlref{Result Format}{Result Format}.'' It is used by the CalculiX solver ccx.
\item duns, a free cfd-code \cite{duns},
\item isaac, a free cfd-code \cite{isaac},
\item OpenFOAM, a free cfd-code \cite{OpenFOAM}.
\item Nastran, the f06-file can be read (sf. only CHEXA, displacements and stresses). Unfortunatelly this format differs from version to version and has to be adapted occasionally.
\item vtk, so far only the mesh without results (nodes, qu4 and tet4 elements).
\end{itemize}
For a more detailed description on how to use cgx to read this formats see the ''\htmlref{read}{read}'' command, ''\htmlref{Program Parameters}{Program Parameters}'' and the program specific ''\htmlref{Tips and Hints}{Tips and Hints}'' sections. See the ''\htmlref{send}{send}'' command for how to write them from cgx.
\section{\label{Getting Started}Getting Started}
For installation help, see .../Calculix/cgx\_X.X/INSTALL. Be aware of the possibility to redefine the helpfiles, browser and psviewer which is explained there.
After the program is installed on your machine, you should check the functionality by running the examples included in the distribution. The examples are located in .../Calculix/cgx\_X.X/examples/. Begin with a result file called result.frd. Just type\\\\ ''cgx result.frd''\\\\and some information is echoed in the konsole and a new window called main window appears on the screen. The name conventions used for the different areas in the main-window are explained in figure \ref{mainwindow}. Now you should move the mouse pointer into the menu-area and press the left mouse-button. Keep it pressed and continue over the menu item ``Dataset'' to ``Disp''. There you release the button. Then press the left button again and continue over ``Dataset'' and ``Entity'' to ``D1''. For background informations look into the subsection ''\htmlref{Datasets}{Datasets}'' and ''\htmlref{Entity}{Entity}'' which explains how to display results. After seeing the values you might play around a bit with the ''\htmlref{Menu}{Menu}''. Before going further, you should read the section ''\htmlref{Input Devices}{Input Devices}''. See also the commands ''\htmlref{steps}{steps}'', ''\htmlref{maxr}{maxr}'', ''\htmlref{minr}{minr}'', ''\htmlref{max}{max}'', ''\htmlref{min}{min}'' (or the combination of max and min ''\htmlref{mm}{mm}'') and ''\htmlref{scal}{scal}'' which might be used to modify the colour representation of the displayed values. For example type ``min 0'' to set the lower value of the colour bar to zero. Now you should study the following interactive commands: Use ''\htmlref{qenq}{qenq}'' to enquire values at nodes. Use ''\htmlref{qtxt}{qtxt}'' to generate node attached texts showing their number and value. Use ''\htmlref{capt}{capt}'' to change the displayed filename to a user defined text and ''\htmlref{ulin}{ulin}'' to add a second line under the filename. Use ''\htmlref{qcut}{qcut}'' to generate a section through the model. And use ''\htmlref{graph}{graph}'' to generate a 2D time history plot (for results with several time-steps) or a 2D plot of values along a sequence of nodes (see ''\htmlref{qseq}{qseq}''). In case you want to display just a set of nodes, faces or elements with their results use the ''\htmlref{plot}{plot}'', ''\htmlref{plus}{plus}'' and ''\htmlref{minus}{minus}''. commands (see also ''\htmlref{How to get the sets from a geo- or ccx-inp file for post-processing}{How to get the sets from a geo- or ccx-inp file for post-processing}''). Watch out when you type a command; the cgx window MUST stay active and not the konsole from which the program was started. It is better to stay with the mouse pointer in the cgx window. Next, ''\htmlref{Quit}{Quit}'' the program and type\\\\ ''cgx -b geometry.fbd''\\\\in the konsole. The program starts again but now you see only a wire-frame of the geometry. Move the mouse-pointer into the new window and type ''\htmlref{mesh}{mesh} all''. The mouse-pointer MUST stay in this window during typing and NOT in the konsole from which the program was started. After you see ''ready'' in the parent konsole, the mesh is created. To actually see it, type ''\htmlref{plus}{plus} ea all''. Now you see the mesh in green color. To see the mesh as a wire-frame, choose in the main menu''\htmlref{Viewing}{Viewing}'' and continue to the entry ''\htmlref{Toggle Element Edges}{Toggle Element Edges}'' and then again in ''\htmlref{Viewing}{Viewing}'' choose ''\htmlref{Dots}{Dots}''. To see the mesh illuminated chose in the main menu ''\htmlref{Viewing}{Viewing}'' and continue to the entry ''\htmlref{Show Elements With Light}{Show Elements With Light}''. To see it filled, choose in the main menu ''\htmlref{Viewing}{Viewing}'' and continue to the entity ''\htmlref{Fill}{Fill}''. Most of the time it is sufficient to see the surface elements only. For this purpose, choose in the main menu ''\htmlref{Viewing}{Viewing}'' and continue to the entry ''\htmlref{Toggle Surfaces/Volumes}{Toggle Surfaces/Volumes}''. If you start cgx in the post processor mode, as you did in the first example (cgx result.frd), the surface mode is automatically set. To see the interior of the structure, choose in the main menu ''\htmlref{Viewing}{Viewing}'' and continue to the entity ''\htmlref{Toggle Culling Back/Front}{Toggle Culling Back/Front}''. To save the mesh in the format used by the solver, type ''send all abq''. To store the mesh in the result format type ''send all frd''.
To create a new model start the cgx by typing\\\\ ''cgx -b file''\\\\where ''file'' will be the name of the new model if you later exit the program with the command ''\htmlref{exit}{exit}''. The way to create a model from scratch is roughly as follows, create
\begin{itemize}
\item points with ''\htmlref{qpnt}{qpnt}'' or ''\htmlref{pnt}{pnt}'',
\item lines with ''\htmlref{qlin}{qlin}'',
\item surfaces with''\htmlref{qsur}{qsur}'',
\item Bodies with ''\htmlref{qbod}{qbod}''.
\end{itemize}
If possible, create higher geometry by sweeping or copying geometry with ''\htmlref{swep}{swep}'' or ''\htmlref{copy}{copy}''. You might move or scale your model with the command ''\htmlref{move}{move}''. The commands require sets to work with. Sets reference entities like bodies or nodes. They are useful because you can deal with a bunch of entities at once. See the section ''\htmlref{How to define a set of entities}{How to define a set of entities}'' about how to create them.
You may write a file with basic commands like ''pnt'' to create the basis for your construction and read it with the ''\htmlref{read}{read}'' command. Most commands can be used in batch mode. This allows the user to write a command file for repeated actions.
If you want to start with CAD geometry then please read ''\htmlref{How to deal with CAD-geometry}{How to deal with CAD-geometry}''.
The interactive commands start with the letter 'q'. Please make yourself familiar with all of them before you start to model complex geometry.
After the geometry is created, the divisions of the lines can be changed to control the density of the elements. Display the lines and their divisions with
\begin{itemize}
\item ''\htmlref{plot}{plot} ld all''.
\end{itemize}
To change the element division, use
\begin{itemize}
\item ''\htmlref{qdiv}{qdiv}''.
\end{itemize}
The default division is ''4''. With a division of''4,'' a line will have 6 nodes and will therefore be the edge of two element of the quadratic type. Next, the type of the elements must be defined. This can be done for each of the different sets. A new assignment will replace a previous one. Delete all previous assignments with
\begin{itemize}
\item ''\htmlref{elty}{elty} all''
\end{itemize}
and assign new types with
\begin{itemize}
\item ''\htmlref{elty}{elty} all he20''.
\end{itemize}
If a mesh is already defined type
\begin{itemize}
\item ''\htmlref{del}{del} mesh''
\end{itemize}
and mesh again with
\begin{itemize}
\item ''\htmlref{mesh}{mesh} all''.
\end{itemize}
Then choose the menu entity ''\htmlref{Viewing}{Viewing} - \htmlref{Show Elements With Light}{Show Elements With Light}'' to see the illuminated mesh. Lastly, export the mesh in the calculix solver format with
\begin{itemize}
\item ''\htmlref{send}{send} all abq''.
\end{itemize}
With the ''send'' command, it is also possible to write boundary conditions, loads and equations to files. The equations are useful to ''glue'' parts together (see ''\htmlref{How to connect independent meshes}{How to connect independent meshes}''.
It is advisable to save your work from time to time without exiting the program. This is done with the command
\begin{itemize}
\item ''\htmlref{save}{save}''.
\end{itemize}
You leave the program either with
\begin{itemize}
\item ''\htmlref{exit}{exit}''
\end{itemize}
or with
\begin{itemize}
\item ''\htmlref{quit}{quit}''.
\end{itemize}
Exit will write all geometry to an fbd-file and if a file of this name exists already then the extension of this file will be renamed from fbd to fbb. ''quit'' closes the program without saving.
A solver input file can be written with the help of an editor (emacs, nedit etc.). If you write a ccx command file, then include the mesh, the boundary conditions etc. with the ccx command ''*INCLUDE''. After you finished your input-file for the solver (ccx) you might read it by calling the program again with\\\\ ''cgx -c solverfile.inp''\\\\for a final check. All predefined sets are available together with automatically generated sets which store boundaries, equations and more. These sets start with the ''+''-sign. For example the set +bou stores all constrained nodes where the set +bou1, +bou2, +bou3 store the constraints for the individual directions. Further the set +dep and +ind store the dependent and independent nodes involved in equations etc. See which sets are defined with the command
\begin{itemize}
\item ''\htmlref{prnt}{prnt} se''.
\end{itemize}
Each line starts with the set-index, then the set-name followed by the number of all referenced entities. The sets can be specified by index or name. For example if the index of set ''blade'' is ''5'' the following commands are equivalent:
\begin{itemize}
\item ''plot p 5''
\item ''plot p blade''
\end{itemize}
The use of wildcards is possible to search for a certain expression:
\begin{itemize}
\item ''\htmlref{prnt}{prnt} se +*''
\end{itemize}
Now all sets starting with a ``+'' in their names will be listed.
Predefined loads are stored as ''\htmlref{Datasets}{Datasets}'' to be visualized. Sets with the name of the load-type (CLOAD, DLOAD) store the related nodes, faces or elements. Use the command
\begin{itemize}
\item ''\htmlref{plot}{plot}''
\end{itemize}
or
\begin{itemize}
\item ''\htmlref{plus}{plus}''
\end{itemize}
to visualize entities of sets.
Then run the input file with ccx. The result file (.frd) can be visualized with\\\\ ''cgx result.frd solverfile.inp''\\\\were the solver input file ''filename.inp'' is optional. With this file, the sets, boundary conditions and loads used in the calculation are available together with the results.\\\\If you have problems doing the above or if you want to learn more and in more detail about the cgx continue with the tutorial \cite{tutorial} and look in the appendix, section \htmlref{Tips and Hints}{Tips and Hints} and \htmlref{Known Problems}{Known Problems}.
Eventually adapt the ``.cgx'' file in your home directory to your preferences. Especially configure the help system and the psviewer for the ``\htmlref{graph}{graph}'' command if necessary (see ``\htmlref{Customization}{Customization}'').
\section{\label{Program Parameters}Program Parameters}
\begin{verbatim}
usage:
cgx [-a|-b|-bg|-c|-duns2d|-duns3d|-isaac2d|-isaac3d|-foam|-ng|
-step|-stl] filename [ccxfile]
-a automatic-build-mode, geometry file derived from a
cad file is expected
-b build-mode, geometry file in fbd-format is expected
-bg background, suppress creation of graphic output
otherwhise as -b, geometry (command) file must be
provided
-c read an solver input file (ccx, Abaqus)
-duns2d read duns result files (2D)
-duns3d read duns result files (3D)
-duns2dl read duns result files (2D, long format)
-duns3dl read duns result files (3D, long format)
-isaac2d read isaac result files (2D)
-isaac3d read isaac result files (3D)
-foam read the OpenFOAM result directory structure
-f06 read Nastran f06 file.
-ng read Netgen native format (with surface domains)
-step read an ascii-step file (points and lines only)
-stepsplit read step and write its parts to the filesystem
in separate directories
-stl read an stl file (triangles)
-vtk read an vtk file (tet4, qu4 w/o results)
[-v] (default) read a result file in frd-format and
optional a solver input file (ccx) in addition
which provides the sets and loads used in the
calculation.
special purpose options:
-mksets make node-sets from *DLOAD-values
(setname:''_<value>'')
-read forces the program to read the complete result-
file at startup
\end{verbatim}
If no option is provided then a result-file (frd) is assumed, see ''\htmlref{Result Format}{Result Format}''.
A file containing commands or geometric informations is assumed if the option -b is specified. Such a file will be created if you use ''\htmlref{exit}{exit}'' or ''\htmlref{save}{save}'' after you have interactively created geometry. Option -a awaits the same format as option -b but merging, defining of line-divisions and the calculation of the interior of the surfaces is done automatically and the illuminated structure is presented after startup. This should be used if the command file was generated by an interface program which convertes cad-data to cgx-format (for example vda2fbd). With option -a and -b the program will start also if no file is specified.
An input file for the solver can be read with option -c. Certain key-words are known and the affected nodes or elements are stored in sets. For example the default set(s) +bou(dof) store nodes which are restricted in the corresponding degree of freedom and the set(s) +dep(dof) and +ind(dof) store dependent and independent nodes used in equations.
A special case is OpenFOAM. The results are organized in a directory structure consisting of a case containing time-directories in which the result-files are stored. The user must call cgx using the case-directory (cgx -foam case). The program will then search the time-directories. The time directories must contain a time-file to be recognized. Or in other words each directory in this level containing a time-file is regarded as a result directory.
\section{\label{Input Devices}Input Devices}
\subsection{\label{Mouse}Mouse}
The mouse is used to manipulate the view-point and scaling of the object inside the drawing area (figure \ref{mainwindow}). Rotation of the object is controlled by the left mouse button, zoom in and out by the middle mouse button and translation of the object is controlled by the right mouse button. Inside the menu area, the mouse triggers the \htmlref{main menu}{Menu} with the left button.\\\\In addition the mouse controls the \htmlref{animation}{animation} of nodal values. The animation will stop if the mouse pointer is not in the drawing area but will start again if the pointer enters the drawing area. This can be prevented by pressing the middle mouse button while the mouse pointer is in the menu area. Pressing the right button will release the next frame. A frozen animation can be released by pressing the middle button. The previous frame can be reloaded by pressing the middle mouse button twice and the right button once (while the mouse is in the menu area).
\begin{figure}[h]
\epsfig{file=mainwindow.eps,width=12cm}
\caption{\label{mainwindow}structure of the main-window}
\end{figure}
\subsection{\label{Keyboard}Keyboard}
The Keyboard is used for command line input and specifying the type of entities when selecting them with the mouse pointer. The command line is preferable in situations where pure mouse operation is not convenient (i.e. to define a certain value) or for batch controlled operations. Therefore most commands are only available over the command line. The stream coming from the keyboard is echoed in the parent-konsole but during typing the mouse pointer must stay inside the main window. Otherwise the commands will not be recognized by the program. The user might use the menu fuction ``Toggle CommandLine'' or the command ``\htmlref{view}{view} cl'' to switch the command line from the konsole to the graphic's window.
The following special keys are used:
\begin{verbatim}
Special Keys:
ARROW_UP: previous command
ARROW_DOWN: next command
PAGE_UP: entities of previous set (if the last command was
plot or plus) or the previous Loadcase
PAGE_DOWN: entities of next set (if the last command was
plot or plus) or the next Loadcase
\end{verbatim}
\section{\label{Menu}Menu}
The main menu pops up when pressing the left mouse-button inside the menu-area (figure \ref{mainmenu}). It should be noted that there are equivalent command-line functions for most of the menu-functions. This can be used for batch-controlled post-processing (see command ''\htmlref{view}{view}''. Next the entities inside the main menu will be explained:
\begin{figure}[h]
\epsfig{file=mainmenu.eps,width=12cm}
\caption{\label{mainmenu}structure of the main-menu}
\end{figure}
\subsection{\label{Datasets}Datasets}
Datasets are selected with the menu-item ''Dataset''. A dataset is a block of nodal values. These could be displacements due to a linear analysis or for a specific time-step during a nonlinear analysis. It could also contain other values like stresses, strains, temperatures or something else. To select a dataset, make sure that the mouse-pointer is inside the menu area. Then, press the left mouse button and move the mouse-pointer over the menu entry ''Dataset'', then continue to the right. A sub-menu pops up showing all available datasets. Each dataset entry comprises the step number (NUMSTP: see ''\htmlref{Nodal Results Block}{Nodal Results Block}'') followed by the name (NAME), a dataset-value (VALUE, usually time or frequency) and a dataset-description (TEXT). Move the mouse-pointer over a dataset you are interested in and release the left mouse button. The dataset is now selected. A results ''\htmlref{Entity}{Entity}'' must be chosen to see the values in the drawing-area. This Dataset might also contain automatically calculated values like the v. Mises stress and the maximum principal stress (see \htmlref{Pre-defined Calculations}{Pre-defined Calculations} and \htmlref{Result Format}{Result Format}). See also the command ''\htmlref{ds}{ds}'' to control the functionality with the command-line.
\subsubsection{\label{Entity}Entity}
To view data from the dataset, its also necessary to specify the entity (i.e. dx for a displacement Dataset). It works in the same way as for selecting the dataset but instead of releasing the left mouse button over a Dataset continue to the sub-menu ''Entity.'' Continue from that item to the right and release the mouse button when the pointer is over the desired entity. Now the data will be displayed in the drawing-area.
\subsection{\label{Viewing}Viewing}
In the following sections, changing properties and styles of the displayed structure are explained. See the command ''\htmlref{view}{view}'' to control the functions with the command-line.
\subsubsection{\label{Show Elements With Light}Show Elements With Light}
This is the default view of the mesh if the program was started in viewing mode. If used, any \htmlref{animation}{animation} will be interrupted and no values are displayed.
\subsubsection{\label{Show Bad Elements}Show Bad Elements}
This option presents elements which have a negative Jacobian value at least at one integration point. The solver ccx can not deal with those elements. So far, only TET and HEX elements are checked. These elements are stored in the set called -NJBY. See also the command ''\htmlref{eqal}{eqal}''.
\subsubsection{\label{Fill}Fill}
This is the default mode and forces the element faces to be rendered.
\subsubsection{\label{Lines}Lines}
The edges of the element faces are displayed. This is especially useful to see into the structure to find hot spots in the displayed field. With ''\htmlref{Toggle Move-Z/Zoom}{Toggle Move-Z/Zoom}'' and ''\htmlref{qcut}{qcut}'', a more detailed analysis can follow. For very dense meshes switch to ''\htmlref{Dots}{Dots}''.
\subsubsection{\label{Dots}Dots}
The corners of the element faces will be displayed. This is especially useful if values inside the structure need checked.
\subsubsection{\label{Toggle Culling Back/Front}Toggle Culling Back/Front}
This removes the faces of volume elements for all elements or for the surface of the structure, depending on the state of ''\htmlref{Toggle Surfaces/Volumes}{Toggle Surfaces/Volumes}''. With this option, the user can visualize internal structures like cracks or a core of a hollow structure.
\subsubsection{\label{Toggle Illuminate Backface}Toggle Illuminate Backface}
Initially only the front faces are illuminated and the back faces are dark. This is helpful to determine the orientation of the elements. If you want to see all faces illuminated regardless of the orientation, then use this option. If you want to change the orientation of elements use the command ''\htmlref{qflp}{qflp}''.
\subsubsection{\label{Toggle Model Edges}Toggle Model Edges}
Per default, all free element edges are shown. The user can remove/show them with this option.
\subsubsection{\label{Toggle Element Edges}Toggle Element Edges}
Per default, just the free element edges are shown. The user might add all edges to the structure with that option.
\subsubsection{\label{Toggle Surfaces/Volumes}Toggle Surfaces/Volumes}
This switches the way each volume elements are displayed. Either all faces of the elements or just the element faces on the surface of the structure are displayed. Depending on the state of ''\htmlref{Toggle Culling Back/Front}{Toggle Culling Back/Front},'' either the faces pointing to the user or the faces pointing away are displayed. The default is just to show the surface pointing to the user. In the lower left corner of the drawing area,(see figure \ref{mainwindow}) a character is printed, indicating the program is in the surface mode ''s'' or in the volume mode ''v''.
\subsubsection{\label{Toggle Move-Z/Zoom}Toggle Move-Z/Zoom}
Instead of zooming in with the help of the middle mouse button, it is also possible to move a clipping plane through the structure to get a view of the inside. The clipping plane is parallel to the screen and will be moved in the direction to and from the user by pressing the middle mouse button and moving the pointer up and down while inside the drawing area. Initially the clipping plane is located in the middle of the structure. The number below the axis cross states the actual position of the cutting plane relative to the middle of the structure in model dimensions. Consider using the ''\htmlref{plot}{plot}'' and ''\htmlref{plus}{plus}'' commands to customize your view. Depending on hardware, this functionality could be slow.
\subsubsection{\label{Toggle Background Color}Toggle Background Color}
With this option, it is possible to switch between a black and a white background.
\subsubsection{\label{Toggle Vector-Plot}Toggle Vector-Plot}
It is possible to add small ''needles'' to the plot which point with their heads in the direction of the vectors. Only entities which are marked in the database as vectors will be affected. See ''\htmlref{Nodal Results Block}{Nodal Results Block}'' for information on how entities are marked as vectors. Internally calculated vector-results, like the worst principal stress, are marked automatically. If one component or the value of a vector is selected, then the option takes immediate effect.
This option can be used in combination with ''Animate \htmlref{Toggle Dataset Sequence}{Toggle Dataset Sequence}''.\\\\See also the keyboard command ''\htmlref{ds}{ds}'' how to select datasets and entities with the keyboard. In this case, entities which are NOT marked in the dataset as vectors can be displayed with vector-needles. This command line approach with ''ds'' is the only way to display isaac or duns-cfd-results with vector-needles. See also the command ''\htmlref{scal}{scal}'' how to manipulate the length of the vectors.
\subsubsection{\label{Toggle Add-Displacement}Toggle Add-Displacement}
It is possible to display results on the deformed structure. For example, you can display a stress field on the deformed structure. If you know a suitable amplification factor for your displacements then use the ''\htmlref{scal}{scal}'' command to issue this value but this can also be done later. Of course displacements for the Loadcase must be available.
\subsubsection{\label{Toggle Shaded Result}Toggle Shaded Result}
It is possible to display results with illumination. For example, you can display a stress field with a shaded appearance to have a better impression of the shape of the structure.
\subsubsection{\label{Toggle Transparency}Toggle Transparency}
Transparent display in the surface mode is switched on or off.
\subsubsection{\label{Toggle Ruler}Toggle Ruler}
Triggers the display of a ruler bar.
\subsubsection{\label{Colormap}Colormap}
Changes the colormap of the color scale. The default is 'classic'. See also ''\htmlref{cmap}{cmap}''.
\subsection{\label{animation}Animate}
This option allows the animation of displacements. See also ''\htmlref{anim}{anim}'', ''\htmlref{ds}{ds}'' and ''\htmlref{scal}{scal}'' to use this functionality with the command-line.
It is possible to create this sequence from just one Dataset, see ''\htmlref{Start}{Start}''. This is useful for displaying mode-shapes. See also ''\htmlref{Toggle Dataset Sequence}{Toggle Dataset Sequence}'' to create a sequence from multiple Datasets to visualize dynamic responses.
\subsubsection{\label{Start}Start}
Creates a sequence of display-lists to visualize displacements (for example mode-shapes). The program recognizes displacements just by the name of the dataset. This name must start with the letters ''DISP'', otherwise the animation will not start (see ''\htmlref{Nodal Results Block}{Nodal Results Block}'').
\subsubsection{\label{Tune-Value}Tune-Value}
Controls the amplitude of the animation. If ''\htmlref{Toggle Real Displacements}{Toggle Real Displacements}'' was chosen before, the tune-value is equivalent to the amplification of the animation.
\subsubsection{\label{Steps per Period}Steps per Period}
Determines how many display lists for one period of animation will be used. If ''\htmlref{Toggle Dataset Sequence}{Toggle Dataset Sequence}'' was chosen, then these number of display lists will be interpreted as one period (see \htmlref{Time per Period}{Time per Period}).
\subsubsection{\label{Time per Period}Time per Period}
Determines how many seconds per period.
\subsubsection{\label{Toggle Real Displacements}Toggle Real Displacements}
To see the correct displacement of each node. The animation can be controlled with the help of the \htmlref{mouse}{Mouse}.
\subsubsection{\label{Toggle Static Model Edges}Toggle Static Model Edges}
The user can switch on additional undeformed model edges. This is useful for hardcopies were this edges give a reference to the undeformed shape.
\subsubsection{\label{Toggle Static Element Edges}Toggle Static Element Edges}
The user can switch on additional undeformed element edges. This is useful for hardcopies were this edges give a reference to the undeformed shape.
\subsubsection{\label{Toggle Dataset Sequence}Toggle Dataset Sequence}
Creates a sequence of display-lists to visualize values of a sequence of Datasets. The Datasets must use the same type, for example only displacements or only stresses. To activate the animation, after you have selected ``Toggle Dataset Sequence'' choose the first Dataset to be displayed, then the second and then the last one. Finally choose the entity. The first two datasets define the spacing between the requested datasets and the third-one defines the last dataset to be displayed. The last two selections of datasets can be omitted. Then all datasets which use the same name, starting from the selected one, will be used. The command ''\htmlref{ds}{ds}'' provides the same functionality.
\subsection{\label{Frame}Frame}
Adjusts the drawing box.
\subsection{\label{Zoom}Zoom}
Use this command to zoom into a rectangular section of the window. After this option is chosen, use the mouse to select the opposite corners of a rectangle. The display will zoom in on the rectangular area. Note the rectangle is never shown on the screen (see also ''\htmlref{zoom}{zoom}'').
\subsection{\label{Center}Center}
Used to choose a new center point for the structure. After this option is chosen, pick either a node, a point or the corner of an entity. To easily find the element corners, the function ''\htmlref{Toggle Element Edges}{Toggle Element Edges}'' is triggered automatically (see also ''\htmlref{qcnt}{qcnt}'').
\subsection{\label{Enquire}Enquire}
Used to investigate parameters like the value and the position of a certain node of the model. Pick a node after this option is chosen. To easily find the element corners, the function ''\htmlref{Toggle Element Edges}{Toggle Element Edges}'' is triggered automatically (see also ''\htmlref{qenq}{qenq}'').
\subsection{\label{Cut}Cut}
Used to cut elements and to create a section of new elements and nodes. Either pick three nodes, or, in case a dataset-entity of a vector was already selected, use the menu entry ``vector'' and select just one node. The cutting plane is then determined by the direction of the selected vector (displacements, worstPS etc.). To easily find the element corners, the function ''\htmlref{Toggle Element Edges}{Toggle Element Edges}'' is triggered automatically (see also ''\htmlref{qcut}{qcut}'' and ''\htmlref{cut}{cut}'')
\subsection{\label{Graph}Graph}
Used to generate a 2D-plot. The option ``Length'' will provide a plot ``value over distance between nodes''. The option ``Datasets'' will provide a plot ``value over Dataset-nr'' and the option ``Time'' will provide ``value over Time''. For the later two options it is necessary to first create an animation with either the command ''\htmlref{ds}{ds}'' or the menu option ''\htmlref{Toggle Dataset Sequence}{Toggle Dataset Sequence}'' (see also ''\htmlref{graph}{graph}'' and ''\htmlref{How to generate a time-history plot}{How to generate a time-history plot}''). To easily find the element corners, the function ''\htmlref{Toggle Element Edges}{Toggle Element Edges}'' is triggered automatically.
\subsection{\label{User}User}
This menu item does not exist until the first ''\htmlref{menu}{menu}'' command was executed. Each ``menu'' command adds a new user command to the menu. This ``menu'' commands are usually stored in a ``.cgx'' file in the home directory to link them to the menu during startup.
\subsection{\label{Orientation}Orientation}
\subsubsection{+x View}
To look along the x-axis.
\subsubsection{-x View}
To look against the x-axis.
\subsubsection{+y View}
To look along the y-axis.
\subsubsection{-y View}
To look against the y-axis.
\subsubsection{+z View}
To look along the z-axis.
\subsubsection{-z View}
To look against the z-axis.
\subsection{\label{Hardcopy}Hardcopy}
To create a hard-copy during animation, it is useful to stop the animation first with the middle mouse button while inside the menu area of the main window and then release one picture after the other with the right button until the desired amplitude or step is reached.
\subsubsection{\label{Tga-Hardcopy}Tga-Hardcopy}
To create a window dump in tga format. You might use the program ''convert'' \cite{ImageMagick} to convert this format to others.
\subsubsection{\label{Ps-Hardcopy}Ps-Hardcopy}
To create a window dump in postscript format. The program convert must be installed.
\subsubsection{\label{Gif-Hardcopy}Gif-Hardcopy}
To create a window dump in gif format. The program convert must be installed.
\subsubsection{\label{Png-Hardcopy}Png-Hardcopy}
To create a window dump in png format. The program convert must be installed.
\subsubsection{\label{Start Recording Gif-Movie}Start Recording Gif-Movie}
All frames during an animation are stored. The recording ends after the right mouse button is pressed while in the menu area. Finally all frames are combined in the file ''movie.gif'' which can be displayed with various tools (Firefox \cite{Firefox} or realplay). If the animation is stopped with the middle mouse button while in the menu area, then the movie stops until it is released by pressing the middle mouse button again. See ''\htmlref{movi}{movi}'' for the keyboard options. Further remarks in ''\htmlref{How to change the format of the movie file}{How to change the format of the movie file}''.
\subsection{\label{Help}Help}
Starts the html help and displays this document. It only works if the specified html-viewer is available. The default is Firefox \cite{Firefox} but this can be changed in the ''cgx.h'' file. The search-path for the documentation is also defined in the ''cgx.h'' file. Please make sure that the documentation is in the specified location or change the path in the ''cgx.h'' file and recompile the program after the object-files are deleted. The default location for the html help is .../CalculiX/cgx\_X.X/doc/cgx and /CalculiX/ccx\_X.X/doc/ccx for cgx and ccx respectively. The html files must be downloaded directly or compiled from the latex source for this function to work properly. The INSTALL file tells how to compile the latex code to html. The INSTALL file is located .../CalculiX/cgx\_X.X/ and .../CalculiX/ccx\_X.X/ for cgx and ccx respectively.
\subsection{\label{Toggle CommandLine}Toggle CommandLine}
Add the command line from the konsole to the graphic's window and back. The user may consider to place the command ``\htmlref{view}{view} cl'' to a file named ``.cgx'' the user's home directoy for an automatic switch at startup.
\subsection{\label{Quit}Quit}
This terminates the program without a save.
\section{\label{Customization}Customization}
The file ``.cgx'' located in the \verb_$_HOME directory will be read at program start. The following commands might be useful in this context:
\begin{itemize}
\item ''\htmlref{font}{font}''
\item ''\htmlref{menu}{menu}''
\item ''\htmlref{rot}{rot}''
\item ''\htmlref{view}{view} bg''
\item ''\htmlref{view}{view} sh''
\item ''\htmlref{wpos}{wpos}''
\item ''\htmlref{wsize}{wsize}''
\item ''\htmlref{asgn}{asgn}''
\end{itemize}
Example content of a ``.cgx'' init file:
\begin{verbatim}
valu vinp /home/user/cgx_templates/readinp.fbl
menu readinp(vinp) read vinp
asgn psviewer ghostview
asgn ccxhelpfile /usr/local/ccx.pdf
asgn cgxhelpfile /usr/local/cgx.pdf
asgn browser okular
\end{verbatim}
\section{\label{Commands}Commands}
This section is a reference to all commands and their parameters in alphabetic order. If a command is typed the mouse-pointer must be in the main window (figure \ref{mainwindow}). Only the echo of the input stream is visible in the parent konsole. The keywords are not case sensitive but all command parameters are case sensitive. Each reference starts with a short description of the command. The following syntax is used for these descriptions:
\begin{verbatim}
Known commands and syntax:
'..': Keyword (either uppercase or lowercase)
<..>: Parameter (case-sensitive)
[..]: combination of parameters or optional parameter
(..): Remark
| : OR
& : AND
- : from-to
-> : command continues in the next line
RETURN press the RETURN key
\end{verbatim}
Entities---with the exception of nodes and elements---are referenced by names which can contain letters and numbers. Usually one to four characters is recommended. If a new entity uses an existing name, the old definition will be overwritten. To overcome this problem, ''alias'' names can be used. An alias name is defined with the \verb_!_ sign in front. An already defined alias name can be referenced by placing the \verb_%_ sign in front. For example:\\\\
LINE \verb_!_L1 \verb_%_P1 \verb_%_P2 \verb_%_SET\\\\will create a line with the alias name L1 and will use the alias names P1 and P2 to define the end-points and uses the set SET to define the point sequence between the end-points. The assigned alias name for a given entity can be enquired with a leading question mark using the prnt command.
\subsection{\label{anim}anim}
\begin{verbatim}
'anim' 'tune' <value>|'steps' <value>|'time' <value>|->
'real' ['on'|'off']|'model' ['on'|'off']| ->
'elem' ['on'|'off']| 'start'
\end{verbatim}
This keyword is used to manipulate the animation of displacements. See also ''\htmlref{ds}{ds}'' and ''\htmlref{scal}{scal}''. The amplification is controlled with ``tune''. ``steps'' defines the number of frames over one periode. ``time'' controlls the duration of one periode. ``real'' switches of the automatic amplification and the real displacements are used instead. In addition the displacements of the negative part of the periode is set to zero. ``model'' switches the static model (undeformed) edges on or of. ``elem'' does this for the element edges. Start the animation with 'start'. The animation stops when using the 'ds' or the 'view' commands with appropriate parameters.
\subsection{\label{area}area}
\begin{verbatim}
'area' <set>
\end{verbatim}
This keyword is used to calculate the area and the center of gravity of a set of shell-elements or surfaces of volume-elements. If a 'dataset' is active then an averaged value is calculated.
It averages the nodal values per element and weight it (multipies it) with the area of that element. The sum of all the weighted element-values is then divided by the total area of all regarded elements. The center of gravity is also weighted with the indvidual areas. This works for faces as well. In case the ''\htmlref{qcut}{qcut}'' command was used to create a section it is necessary to use the ''\htmlref{comp}{comp}'' command to add the related faces to the set '-qcut' which holds the section:\\\\comp -qcut do\\\\Then the 'area' command can be used:\\\\area -qcut\\\\which produces a listing like that:
\begin{verbatim}
AREA:98.437740 CENTER OF GRAVITY: 9.214960 0.663785
24.655288 AVERAGE-VALUE:252.453576
\end{verbatim}
The command writes to the ''\htmlref{stack}{stack}''.
\subsection{\label{asgn}asgn}
\begin{verbatim}
'asgn' 'n'|'e'|'p'|'l'|'c'|'s'|'b'|'S'|'L'|'se'|->
'sh'|'alpha'|'beta'|'nadapt' <value>| ->
'bg' 'on'|'off' ->
'graph' 'on'|'off'|<nr>| ->
'max'|'maxr'|'maxc' [<col>]|'minc' [<col>] ->
'mem' 'free|'keep'| ->
'netgen'|'tetgen'| ->
'thrds' <value>|'rbe' [<value>|'mpc']| ->
'usr' <text>| ->
'viewer' <[path]file>| ->
'browser' <[path]file>| ->
'cgxhelpfile' <[path]file>| ->
'ccxhelpfile' <[path]file>
\end{verbatim}
This keyword is used to manipulate the behaviour of successive commands or certain values.
It can be used to define the first node or element number which will be used for the next mesh generation. And it is used to redefine the leading character of new entities. The default is D for points p, L for lines l, C for combined lines (lcmb) c, A for surfaces s, B for Bodies b, Q for nurb lines (nurl) L, N for nurb surfaces (nurs) S, A for sets se and H for Shapes sh. For example\\\\asgn p U\\\\will assign the character U as the leading character to all newly created names of points. The automatically created names of geometric entities use 4 characters. If all possible names with the chosen leading letter are in use then the next alphabetical letter is chosen as a leading letter, so after PZZZ follows Q000. After the last letter the amount of characters per name is increased. The maximum number is 8. Each entity has its own name space. Different entities might use the same name. Remark: Currently nurbs-lines are automatically create splines sharing the same name. Nurbs-lines can not be used for other purposes than to be displayed and so far they can not be written to a file.
Meta informations stored in the frd database can be extended:\\\\asgn usr ADDDISP DS:1\\\\will assign or change the User Header Record ``ADDDISP DS:1''. Actually this type of record is automatically generated if the user adds displacements to the node coordinates (see ``\htmlref{Toggle Add-Displacement}{Toggle Add-Displacement})'' and ``\htmlref{User Header Record}{User Header Record})''). The first word in the text is used as a key and the rest is the message. So \\\\asgn usr ADDDISP NONE\\\\will change this User Header Record to the new message ``NONE''.
The node related data will be readed if the user selects a certain dataset. The already stored data are kept by default. With the command\\\\asgn mem free\\\\the current data are freed before the selected data are stored. With \\\\asgn mem keep\\\\the current data are kept. This is useful on computers with limited memory.
The method how the the color fringe plot scale is presented can be chosen with either\\\\asgn max\\\\asgn maxr\\\\or\\\\asgn maxc m\\\\and\\\\asgn minc m\\\\were 'm' is the color of the suppressed values, here magenta (see \htmlref{maxc}{maxc}).
The command is also used to control the behaviour of the surface mesh generator for unstructured triangles. This mesher \cite{mesh2d} uses the tree parameters alpha, beta, nadapt for mesh-control. Current default is 0.4 for alpha and beta and 4 for nadapt.
The surface mesh generator is able to use multiple cores (threads). Per default the mesher uses only one thread because only in this case the mesh numbering is reproducable. But since the surface meshing of a CAD geometry can be very time consumable a certain number of threads is used when the model is opened in the auto mode (cgx -a file). The actual number of threads is listed with the command ``\htmlref{prnt}{prnt} info''. This value can be changed in the cgx.h file (NTHREADS). When using\\\\asgn thrds 8\\\\the next mesh generation will use 8 threads and when saving the geometry this command is stored as well. The user might use this command to store his personal number of threads in the ``.cgx'' file in his home directory.
Currently two different tet mesher are available \cite{NETGEN} \cite{TETGEN}. They can be chosen with\\\\asgn tetgen\\\\or\\\\asgn netgen\\\\
In case Nastran input should be generated it is possible to switch from MPCs to RBEs when using the \htmlref{send}{send} command in combination with the areampc option. The value after ``rbe'' represents the thermal expansion coefficient of this elements:\\\\asgn rbe 0.5e-6\\\\It should be noted that coincident nodes are connected by MPCs either way.
The presentation of the 2D plots generated by 'graph' can be switched of or on and the next running number of the files written with 'graph' can be defined:\\\\asgn graph off\\\\asgn graph on\\\\asgn graph 11\\\\
The viewer used for that presentation can be redefined with\\\\asgn viewer /usr/bin/ghostview\\\\which switches here to ghostview.
The helpsystem can be redefined with\\\\asgn browser /usr/bin/okular\\\\which switches here to an pdf viewer. Of course the helpfiles must now be redefined to pdf files with\\\\asgn cgxhelpfile /home/user/cgx.pdf\\\\and\\\\asgn ccxhelpfile /home/user/ccx.pdf\\\\
Finally to speed up the execution of batch files in normal operation (with the grapical window visible) the internal operations necessary for graphical output can be switched off or on during reading of command lines from a file with:\\\\asgn bg off\\\\asgn bg on\\\\
\subsection{\label{aver}aver}
\begin{verbatim}
'aver' <set>
\end{verbatim}
This keyword is used to average locations of nodes and/or points and of values at nodes.
\subsection{\label{bia}bia}
\begin{verbatim}
'bia' <line>|<set> [ [<bias>] [<factor>]|
['mult'|'div' <factor>] ]
\end{verbatim}
This keyword is used to define the bias of a single line or of a set of lines (see \htmlref{qadd}{qadd}). The bias defines the ratio of the length of the first element to the length of the last element. For example,\\\\
bia all 4.5\\\\will force a ratio in which the last element is 4.5 times bigger than the first one. Real numbers are permitted since version 1.5 (see also \htmlref{qbia}{qbia}). To convert from pre 1.5 versions, start the program with the -oldbias option. A negative factor permits to invert the direction of the bias: \\\\
bia all 4.5 -1\\\\
\subsection{\label{body}body}
\begin{verbatim}
'body' <name(char<9)>|'!' [<surf1> <surf2>]|
[<surf1> <surf2> <surf3> <surf4> ->
<surf5> [<surf6> <surf6>]]|
[<set>]
\end{verbatim}
This keyword is used to define or redefine a volume (body). Each body must have five, six or seven surfaces to be mesh-able with hexaeder-elements, otherwise it can only meshed with tets if NETGEN \cite{NETGEN} is installed. However, it is sufficient to specify just the ''top'' and the ''bottom'' surfaces. But if surfaces with 3 or 5 edges are involved then this surfaces have to be the ''top'' and ''bottom'' surfaces. This is also true if surfaces have different line-divisions at opposite edges. The missing surfaces between the ''top'' and ''bottom'' surfaces will be created automatically if they do not already exist (they will always have 4 edges with the same division on opposide edges). But all needed lines must exist. More precisely, only single lines or existing combined lines (\htmlref{lcmb}{lcmb}) can be detected. The user must define the missing surface if just a chain of lines (and no lcmb) is defined between two corner points of the ''top'' and ''bottom'' surfaces before he can successfully use the body command. It is a more convenient way to define a body than the command ``\htmlref{gbod}{gbod}'' but exactly 2 or all surfaces must be specified otherwise the body will not be created (The most convenient way to define bodies is to use the command ``\htmlref{qbod}{qbod}'').
For example,\\\\body b1 s1 s2\\\\will look for the missing surfaces and if necessary create them if all lines between the corner points of s1 and s2 are defined; the result is the creation of body, b1. Or for example,\\\\body \verb_!_ s1 s2 s3 s4 s5\\\\will create a body and a new name for it. The new name is triggered by the sign \verb_!_. Here the body is based on 5 surfaces. If the surfaces are not connected, the body is not mesh-able.\\\\In case a body should only be meshable with tets it can be composed of more than 7 surfaces. The definition can be provided by a set of surfaces:\\\\body \verb_!_ surfset\\\\will create a body based on the surfaces referenced by surfset.
\subsection{\label{break}break}
\begin{verbatim}
'break'
\end{verbatim}
This keyword is used to end the interpretation of a command file. The program returns to the interactive mode.
\subsection{\label{call}call}
\begin{verbatim}
'call' <parameters>
\end{verbatim}
This keyword is used to allow the user to control his own functionality in the file ''userFunction.c''. The data-structures for the mesh and datasets are available. The default function calculates the hydrodynamic stresses with the command:\\\\call hydro\\\\See ''\htmlref{User-Functions}{User-Functions}'' for details.
\subsection{\label{capt}capt}
\begin{verbatim}
'capt' <string>
\end{verbatim}
This keyword is used to define the caption. This commend will show up in the
menu area of the main window below the picture. Initially the filename is used
as caption. A second line can be generated with "\htmlref{ulin}{ulin}".
\subsection{\label{cmap}cmap}
\begin{verbatim}
'cmap' 'classic'|'gray'|'inferno'|'jet'|'coolwarm'|
'turbo'|'viridis'
\end{verbatim}
Changes the colormap of the color scale. The default is 'classic'. The user might use this command to store his personal setting in the ``.cgx'' file in his home directory. See also ''\htmlref{steps}{steps}'' to adjust the nr of boxes.
\subsection{\label{cntr}cntr}
\begin{verbatim}
'cntr' <pnt|nod|set>|[x y z]
\end{verbatim}
Defines a new rotation center. See also ''\htmlref{qcnt}{qcnt}'' for the cursor controlled command.
\subsection{\label{col}col}
\begin{verbatim}
'col' <name> <red> <green> <blue>
\end{verbatim}
User defined new colors which can be used with plot/plus. The red, green and blue fractions must sum up to 1. See also ''\htmlref{prnt}{prnt}'' how to list the available colors. The user might use this command to store his personal colors in the ``.cgx'' file in his home directory.
\subsection{\label{comp}comp}
\begin{verbatim}
'comp' <set|*chars*> 'c'|'d'|'e'|'u'|'f'
\end{verbatim}
This keyword is used to add all entities to the specified set (see
\htmlref{seta}{seta}) which depend on the already included entities (u, up),
or to include all entities necessary to describe the already included entities
(d, down).\\For example the set ''lines'' stores lines and should also include
all dependent points:\\\\comp lines do\\\\Or the set ''lines'' should also
include all surfs and bodies which depend on the lines:\\\\comp lines up\\\\In
some cases you will need only the end-points of lines. With the option e (
edges)\\\\comp lines e\\\\ only end-points are included in the set. Option c (
combined lines) adds all LCMB's which use the stored lines. One exception to this logic was introduced for convenience:\\\\comp nodes do\\\\will add all faces described by the nodes in set nodes despite the fact that faces are made from nodes. In addition related faces can be added when using a set with nodes or/and elements with:\\\\comp set f\\\\
Wildcards (*) can be used to search for setnames of a certain expression:\\\\comp E* do\\\\will complete all sets starting with ``E''.
\subsection{\label{cont}cont}
\begin{verbatim}
'cont'
\end{verbatim}
This keyword is used to re-start reading of command files (see ''\htmlref{stop}{stop}'').
\subsection{\label{copy}copy}
\begin{verbatim}
'copy' <set> <set> ['scal' <fx> <fy> <fz> <pnt> [a] ]|
['tra' <dx> <dy> <dz> [a]]|
['rot' <p1> <p2> <alfa> [a] ]|
['rot' 'x'|'y'|'z' <alfa> [a] ]|
['rot' <p1> 'x'|'y'|'z' <alfa> [a] ]|
['rad' <p1> <p2> <dr> [a] ]|
['rad' 'x'|'y'|'z'|'p'<PNT> <dr> [a] ]|
['rad' <p1> 'x'|'y'|'z' <dr> [a] ]|
['nor' <dr> [a] ]|
['mir' <P1> <P2> [a] ]|
['mir' 'x'|'y'|'z' [a] ]|
['mir' <P1> 'x'|'y'|'z' [a] ]
\end{verbatim}
This keyword is used to create a copy of a set (see \htmlref{seta}{seta} about sets). Geometry, nodes and elements with their results can be copied. The copy of results is useful to evaluate additional sectors in case of a cyclic symmetric calculation. The copy is included in the new set. Existing sets are extended by the copied entities if the last parameter ``a'' (append) is provided. Several transformations are available. For example scal creates a scaled copy, the scaling factors fx, fy, fz can be chosen independently,\\\\
Several transformations are available. For example scal creates a scaled copy, the scaling factors fx, fy, fz can be chosen independently,\\\\
copy part1 part2 scal 2 P0 \\
copy part1 part2 scal 1 1 2 P0\\\\
tra will create a copy and will move it away by the vector dx, dy, dz and the optional parameter a will assign the new entities to sets were the mother of each entity is included (see ``\htmlref{setl}{setl}'' on how to lock and therefore exclude certain sets from that behaviour),\\\\
copy set1 set2 tra 10 20 30 a\\\\
rot will create a copy and will move it around the axis defined by the points p1 and p2 by alfa degrees,\\\\
copy set1 set2 rot p0 px 20.\\\\
or the axis of rotation is given by specifying one of the basis coordinate axes:
copy set1 set2 rot x 20.\\\\
or just one point and a vector of rotation is given by specifying one of the basis coordinate axes:
copy set1 set2 rot p1 x 20.\\\\
rad will create a copy and uses the same transformation options as 'rot' or will create a spherical section if just a single point is defined,\\\\
copy sphere1 sphere2 rad pP0 10.\\\\
nor will create a copy and will move it away in the direction of averaged normal local vector. This requires information about the normal direction for each entity. Nodes will use associated element faces and geometric entities will use the element faces, surfaces or shapes which are stored with them in the set1,\\\\
copy set1 set2 nor 1.2 a\\\\
mir will create a mirrored copy. The mirror-plane is placed normal to the direction running from P1 to P2 and placed at P2,\\\\
copy section1 section2 mir P1 P2.\\\\
as with 'rot and 'rad' additional transformation options are available:\\\\
copy section1 section2 mir P1 x\\\\
places the mirror at P1 with its normal direction in 'x' direction\\\\
copy section1 section2 mir x\\\\
Places the mirror in the origin with its normal direction in 'x' direction.
\subsection{\label{corrad}corrad}
\begin{verbatim}
'corrad' <set>
\end{verbatim}
This is a very special command to adjust improperly defined arc-lines, like in fillets. The center points of arc-lines included in the set are moved in a way that each arc-line will run tangentially into a connected straight line. But because the end-points of the arc-lines are not moved only one side of each arc-line will run into a connected line. The other side is not controlled and might end in a sharp corner. Therefore for each arc-line exactly one connected straight line must be included into the set (figure \ref{corradp}).
\begin{figure}[h]
\epsfig{file=corrad.eps,width=9cm}
\caption{\label{corradp} Effect of the corrad command }
\end{figure}
\subsection{\label{csysa}csysa}
\begin{verbatim}
'csysa' <sysNr> <set>
\end{verbatim}
Specifies the displacement coordinate system for each node (Nastran only).
\subsection{\label{cut}cut}
\begin{verbatim}
'cut' [<set>|<nod>] | [<pnt|nod> <pnt|nod> <pnt|nod>]
\end{verbatim}
This keyword is used to define a cutting plane through elements to visualize internal results. The plane is either defined by three nodes or points, or by just one node if a vector dataset-entity was already selected. The cutting plane is then determined by the direction of the vector (displacements, worstPS, ..). The menu option ''\htmlref{Show Elements With Light}{Show Elements With Light}'' or the commands ''\htmlref{ucut}{ucut}'', ''\htmlref{view}{view} surf'' or''\htmlref{view}{view} volu'' will display the whole model again and will delete the plane. This command is intended for batch-mode. See ''\htmlref{qcut}{qcut}'' for the cursor controlled command. The three nodes or points may be provided by specifying a set of either unordered or ordered type (a sequence).
\subsection{\label{del}del}
\begin{verbatim}
'del' ['p'|'l'|'l0'|'c'|'s'|'b'|'t'|'S'|'L'|'se'|'sh' <entity>]|
['se0']|
['mesh']|
['pic']
\end{verbatim}
This keyword is used to delete entities, the whole mesh (see also \htmlref{qdel}{qdel}) or a background-picture. For example,\\\\
del se part\\\\
will delete the set ``part'' but all included entities are untouched. The following entities are known:\\\\
Points p, Lines l, Combined Lines c, Surfaces s, Bodies b, Node Texts t, Nurb Surfaces S, Nurb Lines L, Sets se and Shapes sh.\\\\
When an entity is deleted, all dependent higher entities are deleted as well. Special cases are\\\\del l0 set (l<zero>)\\\\were all lines with zero length in set ''set'' are deleted and\\\\del se0\\\\will delete all empty sets.
If a background-picture was loaded with the ''\htmlref{read}{read}'' command it can be deleted with:\\\\
del pic
\\\\See also ''\htmlref{zap}{zap}'' on how to delete a set with all its referenced entities.
\subsection{\label{dist}dist}
\begin{verbatim}
'dist' <set> [<target-set>|<shpe>] ->
['tra' <dx> <dy> <dz> <offset>]|
['rot' <p1> <p2> <offset>]|
['rot' 'x'|'y'|'z' <offset>]|
['rad' <p1> <p2> <offset>]|
['rad' 'x'|'y'|'z' <offset>]|
['nor' <offset> <tol>]
\end{verbatim}
measures distances between entities of one or of two sets. For example \\\\
dist set \\\\
gives the distance range of the points and nodes in the set in x,y and z direction.
If just one point or node is included in both provided sets \\\\
dist set1 set2 \\\\
then as with ''\htmlref{qdis}{qdis}'' the cartesian distances, the angular distances and the radial distances are determined.
If just one point or node is included in the first set and several points or nodes in set2 \\\\
dist set1 set2 \\\\
then only the extremal cartesian distances from the sole point or node in set1 to all entities in set2 are determined (set1-set2).
Further parameter combinations work analogous to the ''\htmlref{proj}{proj}'' command and calculates distances to shapes or surfaces. Please look there for details, for example:\\\\
dist set1 set2 rot p0 px \\\\
The average-, maximum- and minimum distance is determined. The distance is measured normal-, rotational-, radial or translatoric.
The command writes to the ''\htmlref{stack}{stack}''.
\subsection{\label{div}div}
\begin{verbatim}
'div' |
<defdiv>|
<line> [<division>]|
<set> [<division>]|
['mult'|'div' <factor-div> <factor-bias>]|
['auto' <node-dist> <angle> <elem-ratio>]
\end{verbatim}
This keyword can be used to re-define the default division of lines:\\\\div 4\\\\The div keyword works on a line or a set of lines (see \htmlref{qadd}{qadd}). The division controls the number of nodes created when the geometry is meshed (see \htmlref{elty}{elty} and \htmlref{mesh}{mesh}). For example,\\\\
div all 4\\\\attaches the division of 4 to all lines. With the keyword mult or div in combination with a value, it is possible to multiply or divide already assigned divisions:\\\\
div all mult 2.\\\\Or in case you need a starting-point for the individual divisions you can use the option auto with the optional parameters node-dist and angle. Node-dist is the maximum allowed distance between nodes and angle is the maximum allowed angle defined by three sequential nodes. If one parameter is not fulfilled then the division is halved until the requirements are fulfilled. Default values are defined in the file cgx.h and can be listed with\\\\div\\\\without parameters\\\\
div all auto\\\\uses the defaults. The following example sets them expicidly:\\\\div all auto 2. 10. 0.5\\\\will use a maximum element lenght of 2., the angle between successive nodes is less than 10 degree and the minimum element is only half of the maximum-length as long as the length of the line is sufficient. It should be noted that it could make sense to use different values for different sets.
\subsection{\label{ds}ds}
\begin{verbatim}
'ds' [<1.Dataset-Nr> [<2.Dataset-Nr>] [<n.Dataset-Nr>] ->
['a[h]'|'e[h]' [<entity-nr> (up to 4 times)]]|
[['+'|'-'|'*'|'/'] <Dataset-Nr> ['c'] ]|
['o' <value> [<entity-nr>]]|
['p' <power> [<entity-nr>]]|
['s' <value> [<entity-nr>]]|
['r' <key> [<parm1>] [<parm2>] [..<parm5>]]]|
['g' <name> [[<ncomps>|<0>] <value> <text> <type> ->
<step> <analysisName>]]|
['e' <name> <comp> <type> <row> <column>]|
['f']
\end{verbatim}
This keyword is used to select, modify or generate one or more \htmlref{Datasets}{Datasets} (ds) and one or more \htmlref{Entity}{Entity} (e). In addition it can be used to generate or modify related parameters which might store step specific descriptions. The dataset has to be a positive number which has to match the nr in the Dataset-menu or an 'l' (lower case 'L') which is interpreted as the last available Dataset or a negative number. Then it is interpreted as the last ds minus the specified number. For example\\\\
ds 1\\\\
will just select the first Dataset and will write some informations about it to stdout and to the ''\htmlref{stack}{stack}'' if active. It will write ds-nr, lc-name, ds-value, ds-text, ds-name, nr-of-entities \\\\
ds 1 e 1\\\\
will display the first entity of the first Dataset and will write some informations about it to stdout or to the ''\htmlref{stack}{stack}'' if active. It will write ds-nr, lc-name, ds-value, ds-text, ds-name, entity-name.\\\\
ds l e 1\\\\
will display the last Dataset.
To start the animation of the second-to-last Dataset right away:\\\\
ds -1 a\\\\
Or generate an animated fringe plot by adding the desired entity:\\\\
ds -1 a 4\\\\
Sequences can be defined by specifying one to three datasets and by extending the 'e' parameter by an 'h' ('history'):\\\\
ds 2 eh 1\\\\
Here all datasets of the same type as ds 2 are selected. The spacing between datasets of the same type is only evaluated for the first step. A unique step-with is therfore needed.\\\\
ds 2 10 eh 1\\\\
Here the datasets 2, 10 and all successive ones of the same type with a spacing of 8 are selected.\\\\
ds 2 4 10 eh 1\\\\
Here the 1st entity of each second Dataset is selected. The selection starts at the second- and ends at the 10th dataset. If more than one entity is defined then a vector-plot will be displayed. If a 4th entity is defined then this entity will be used for the basic color-plot:\\\\
ds 2 4 10 eh 12 13 14 15\\\\
In case the deformed shape should be shown together with the fringe plot in a sequence of datasets then the 'e' parameter has to be replaced by an 'a' character.\\\\
ds 2 ah 1\\\\ REMARK: So far vector plots can not use the deformed shape. Therefore only one entity is supported.\\\\
In addition, it is possible to scale or offset the entities of the specified datasets:\\\\
ds 1 s 1.2\\\\
will scale all entities of dataset 1 by a factor of 1.2.\\\\
ds 1 + 3\\\\
will create a new dataset which stores the addition of dataset 1 and 2.\\\\
ds 1 + 3 c\\\\
using parameter 'c' will change the dataset 1 with the result of the addition of dataset 1 and 2. \\\\
ds 1 p 1.2 3\\\\
will use the given exponent to scale entity 3 of dataset 1 by an exponent of 1.2.\\\\
ds 1 o 200.\\\\
will add a value of 200 to all entities of dataset 1.\\\\
ds 1 o 200. 2\\\\
will add a value of 200 to the entity 2 of dataset 1.
Each dataset might use related parameters (see \htmlref{Parameter Header Record}{Parameter Header Record} for the format of a parameter record). This parameters can be overwritten or created:\\\\
ds 2 4 10 r TAMB 1\\\\
Each second dataset from 2 to 10 gets a related parameter 'TAMB' with the value '1'. If the value is nummeric it can be used by the ``\htmlref{graph}{graph}'' command.
A new dataset in which all values are initiallized to zero is generated with:\\\\
ds g VELOCITY 3\\\\
The 'name' VELOCITY will appear in the menu as the dataset name and can be 8 character long. It has 3 components ('ncomps', default is '1'). The other parameters are optional:
\begin{itemize}
\item value: A nummeric value, usually time or frequency (used by ``\htmlref{graph}{graph}'').
\item text: A describing text (used by ``\htmlref{graph}{graph}'').
\item type: Analysis type (static:0,time step:1,frequency:2, etc.).
\item step: Step or increment number
\item analysisName: Type of analysis (description).
\end{itemize}
The current dataset name is modified if only the name is given:\\\\
ds g VELOCITY\\\\
The other parameters of the current dataset can be modified if the number of components is set to zero:
ds g VELOCITY 0 1e4 test\\\\
The entities of the current dataset are manipulated with:\\\\
ds e V 2\\\\
The 'name' V will appear in the menu as the entity name and can be 8 character long. It is the second entity (component) of the current dataset (default is '1'). The third and following parameters can be omitted for a scalar.
\begin{itemize}
\item name: entity name
\item comp: entity nr (component)
\item type: Mathematical data type (scalar:1, vector:2, matrix:4, etc.)
\item row: sub-component index or row number
\item column: column number if matrix
\end{itemize}
The 'row' paramter defines the location of the enitity in the vector or the row of the matrix.
The dataset is finalized with:\\\\
ds f\\\\
The maximum- and minimum value over all nodes for the current dataset will be determined and stored together with the corresponding node numbers. This values are needed for the graphic display.\\\\
The values at the nodes are manipulated with the ''\htmlref{node}{node}'' command. With that command the new dataset gets its data. See also ``\htmlref{How to generate a new dataset}{How to generate a new dataset}'' for further details.
More details can be found in section ''\htmlref{Nodal Results Block}{Nodal Results Block}''.
\subsection{\label{elem}elem}
\begin{verbatim}
'elem' <nr|!> [set]|
[<firstNode> .. <lastNode> 'be2'|'be3'|'tr3'|'tr6'|->
'qu4'|'qu8'|'he8'|'he20']
\end{verbatim}
This keyword is used to define elements based on nodes and its type (see section \htmlref{Element Types}{Element Types} in the appendix for the correct node-order). For example,\\\\
elem 1 1 2 3 4 qu4\\\\creates a shell element with four nodes. If the an automatically generated name is desired, then type ''\verb_!_'' instead of a name. Shell elements can be created based on a set of element-faces:\\\\elem ! faceset\\\\This might be useful to create a layer of shell elements on volume elements.
\subsection{\label{else}else}
\begin{verbatim}
'else'
\end{verbatim}
See the ``\htmlref{if}{if}'' command.
\subsection{\label{else if}else if}
\begin{verbatim}
'else if' <value> 'eq'|'ne'|'=='|'!='|'<'|'>' <value>
\end{verbatim}
See the ``\htmlref{if}{if}'' command.
\subsection{\label{elty}elty}
\begin{verbatim}
'elty' <set> 'lock'|'ulock'|->
'be2'|'be2r'|'be2f'|'be2d'|->
'be3'|'be3r'|'be3f'|->
'tr3'|'tr3u'|'tr3e'|'tr3s'|'tr3c'->
'tr6'|'tr6u'|'tr6e'|'tr6s'|'tr6c'|->
'qu4'|'qu4e'|'qu4s'|'qu4c'|->
'qu4r'|'qu4er'|'qu4sr'|'qu4cr'|->
'qu8'|'qu8e'|'qu8s'|'qu8c'|->
'qu8r'|'qu8er'|'qu8sr'|'qu8cr'|->
'he8'|'he8f'|'he8i'|'he8r'|->
'he20'|'he20r'|'pe6'|'pe6f'|'pe15'|->
'pe15r'|'te4'|'te4f'|'te10'|'te10m'|->
'te10t' [<parameter>]
\end{verbatim}
This keyword is used to assign a specific element type to a set of entities
(see section \htmlref{Element Types}{Element Types} in the appendix). In most
cases it can be used to specify the element type before the mesh is
created. In case of unstructured meshes more specific element attributes have to be assigned after the mesh was created (from tr6u to tr6c or te10 to te10t etc.).
The element name is composed of the following parts: The leading two letters
define the shape (be: beam, tr: triangle, qu: quadrangle, he: hexahedra, pe:
penta, te:tetraeder), then the number of nodes and at last an attribute
describing the mathematical formulation or other features (c: axisymmetric, e: plain strain, s: plain
stress, u: unstructured mesh, r: reduced integration, i: incompatible modes,
f: fluid element for ccx, t: initial temperatures are interpolated linearly
within the tet element (ccx:C3D10T)).
If the element type is omitted, the assignment is deleted. If all parameters are
omitted, the actual assignments are posted:\\\\
elty\\\\
will print only the sets with assigned elements. Multiple definitions are possible. For example,\\\\
elty all\\\\
deletes all element definitions. If the geometry was already meshed, the mesh will NOT be deleted. If the \htmlref{mesh}{mesh} command is executed again after new assignments have taken place, additional elements could be created.\\\\
elty all he20\\\\
assigns 20 node brick-elements to all bodies in the set all.\\\\
elty part1 he8\\\\
redefines that definition for all bodies in the set part1.\\\\
elty part2 tr6u\\\\
assigns 6 node unstructured triangle elements to all surfaces in set part2.\\\\
elty part2 tr6u 0.5\\\\
will do the same but specifies a mesh refinement factor of 0.5 (\verb_>_1: coarser than the average boundary spacing, \verb_<_1: denser ). Be aware that specialized unstructured meshes must be created by using two times the elty command. First time the general unstructured type before the mesh is actually created and afterwards a redefinition into the more specific type:\\\\
elty part2 tr6u\\
mesh all\\
elty part2 tr6c\\\\
creates an axisymmetric unstructured mesh.\\\\
elty part3 te10\\\\
assigns 10 node elements to all bodies in set part3. But this works only if TETGEN \cite{TETGEN} or NETGEN \cite{NETGEN} is installed and the locations of their binaries tetgen or ng\_vol are included in the path system variable.\\\\
elty part3 te10 3.5\\\\
will do the same but specifies a target size for the elements. In this case the modified program ng\_vol from the cgx-distribution must be available. Replace the original ng\_vol in the NETGEN package and build it again.
Be aware that specialized unstructured meshes must be created by using two times the elty command. First time the general unstructured type before the mesh is actually created and afterwards a redefinition into the more specific type:\\\\
elty part2 te10\\
mesh all\\
elty part2 te10t\\\\
The penta element types are not supported for meshing but elty can be used to redefine the attributes (pe6 to pe6f). Penta elements are only created if a mesh of triangles (2D) is sweeped in 3D. This procedure is used to create quasi 2D cfd meshes.
Sometimes it is necessary to prevent element definitions from beeing changed again. This can be achived with\\\\ elty <set> lock\\\\ the element definition and mesh density of all referenced bodies, surfaces and lines is fixed until unlocked with:\\\\ elty <set> unlock\\\\
The fluid network element types are be2f and be3f. The be2f has to be used at the begin and the end of a network. This elements will use the special node nr '0' at the entry and exit. This node-nr is automatically assigned to the element definition when written in the ccx format. All other elements in the network must use the be3f type. The detailed element type definition has to be done in the ccx input file based on element-sets.
\subsection{\label{endif}endif}
\begin{verbatim}
'endif'
\end{verbatim}
See the ``\htmlref{if}{if}'' command.
\subsection{\label{endwhile}endwhile}
\begin{verbatim}
'endwhile'
\end{verbatim}
See the ``\htmlref{while}{while}'' command.
\subsection{\label{enq}enq}
\begin{verbatim}
'enq' <set> <set> ['set' <setname> ]|->
['rec' <x-value>|'_' <y-value>|'_' <z-value>|'_' ]|->
['cx'|'cy'|'cz' <r-value>|'_' <fi-value(deg)>|'_' ->
<axis-value>|'_' ] ->
<tol> 'i'|'a'|'h'|'l' [<value>]
\end{verbatim}
This command is used to locate entities from a certain set (first provided set) and stores them in the second set. The following entities are handled: nodes, points, lines, surfaces. But surfaces can only be identified if the command ``\htmlref{rep}{rep} \verb_<_setname\verb_>_'' was issued before. In case of nodes with related values (results) it will also determine the highes or lowest value in the specified range, or, all nodes above or below a certain value. The coordinates might be taken from one node or point in a given 3rd set or given in cartesian coordinates (option rec) or cylindrical coordinates (option cx, cy, cz). Some coordinates might be omitted to specify an infinite range. The '\_' key has to be used in this case. The mode is defined by the keys 'i' individual, 'a' all, 'h' high, 'l' low, were h and l will search the highest or lowest value in range. This value will also be written to a file for automatic processing purposes. For example\\\\
enq all newset rec 10. \_ 100. 0.1 i\\\\
will search for entities in set 'all' at the given location x:10. y:\_(infinite range, triggered by the '\_' key) z:100. with a tolerance of 0.1 and only the closest entity of all kinds of entities are stored in set 'newset', triggered by the 'i' key. With the 'a' key all in range would be stored. The key 'h' or 'l' would trigger a search for the highest or lowest value in the specified range.
In combination with a certain value\\\\
enq all newset rec 10. \_ 100. 0.1 h 1013.\\\\all nodes with a value above ``1013.'' would be stored in set ``newset''. The command \\\\
enq domain1 newset cx 100. 180. 10. 0.1 a\\\\
will search for entities in set 'domain1' at radius:100. around x at fi:180 degree and x:10. with a tolerance of 0.1. All entities in range are stored in set 'newset'.
The following example illustrates the use of ``enq'' to find the highest value close to a location given by a node-number:
\begin{verbatim}
# activate dataset 3 with entity 7:
ds 3 e 7
# read a file with one node to define a set:
read pos1.frd pos1
# search the highest value around a radius of 1:
enq all t set pos1 1. h
# move the file with the search result to a meaningfull name:
sys mv enq_lc3_e7_1.out pos1.out
\end{verbatim}
One important remark:
The command will select not only nodes in the selection range but also geometric entities (lines etc.) which in turn reference their related nodes. This behaviour can mix up the desired result when the user expects to find just nodes in the selection range. Therefore it is better to first generate a set only with nodes as a basis for 'enq':\\\\
seta nodeset n all\\
enq nodeset new ...\\\\
The command writes to the ''\htmlref{stack}{stack}''.
\subsection{\label{eprop}eprop}
\begin{verbatim}
'eprop' <set>
\end{verbatim}
Calculates the maximum element edge length, volume and quality factor. The maximum values are stored at nodes. So far the quality is only calculated for tets. Second order elements are treatened as linear regarding length and quality. The quality measure used is proportional to the ratio of the longest edge divided by the radius of the inscribed sphere. The proportionality constant is such that the quality is 1 for an equilateral tetrahedron. For all other elements it exceeds 1. The bigger this number, the worse the quality.
\subsection{\label{eqal}eqal}
\begin{verbatim}
'eqal' 'jbir'|'aspr'|'mca' <value>
\end{verbatim}
The keyword without parameters lists the current element quality thresholds (0==off):
\begin{itemize}
\item JBIR: The maximum ratio of jacobian determinants xsj between all gaus-points. Were xsj = Vworldcoordinates \verb_/_ Velementcoordinates and jbir = xsj-max \verb_/_ xsj-min. Supported element types he8, he20, te10.
\item ASPR: Element aspect ratio between all element sides. Supported element types he8, he20.
\item MCA: Maximum corner angle between all element sides. Supported element types he8, (he20 not regarding midside nodes).
\end{itemize}
Parameter ``value'' sets the value of the threshold. The element-quality is checked with ''\htmlref{plot}{plot} eq all''. The user might use this command to store his personal parameters in the ``.cgx'' file in his home directory.
The command writes to the ''\htmlref{stack}{stack}''.
\subsection{\label{exit}exit}
\begin{verbatim}
'exit'
\end{verbatim}
This command terminates the program and saves the geometry (if any) to a file named as the input file but with the extension .fbd. If a file with that name exists already, then this file will be saved with the new file extension .fbb as a backup (see also \htmlref{save}{save}).
\subsection{\label{fil}fil}
\begin{verbatim}
'fil' <line> <line> <radius>
\end{verbatim}
This command creates an arc of a given radius between the two specified lines.
\subsection{\label{flip}flip}
\begin{verbatim}
'flip' [<set> <e>|<b>|<s>]|
[<s> ['auto']]
\end{verbatim}
This command changes the orientation of a set of shell-elements, bodies or surfaces. In case of a single surface with the parameter ``auto'' all surfaces will be flipped in a way that they share a common direction (in or out of a volume). The related elements are also flipped. See \htmlref{qflp}{qflp} for the cursor controlled command.
\subsection{\label{flpc}flpc}
\begin{verbatim}
'flpc'
\end{verbatim}
This command changes the colour of the scale. Initialy the default is red for high values and blue for low values. The command will invert the current state.
\subsection{\label{font}font}
\begin{verbatim}
'font' 'd'|'l'|'c' <value(1-6)>
\end{verbatim}
This command changes the drawing-font. Six fonts of different heigh are available:
\\\\font d 6\\\\selects the greatest font for the drawing area were\\\\font l 1\\\\selects the smallest one for the legend. The default is selected if no number is specified. The font for the command line is selected with\\\\font c 6
\subsection{\label{frame}frame}
\begin{verbatim}
'frame' [<setname>]
\end{verbatim}
This command fits the model or the contents of a given set into the drawing space. This command is usually automatically triggered.
When executing commands which increase the used space then it might happen that geometry is clipped and can not be seen or accessed anymore.
\subsection{\label{gbod}gbod}
\begin{verbatim}
'gbod' <name(char<9)>|'!' 'NORM' '+|-' <surf> '+|-' <surf> ->
.. ( 5-7 surfaces )
\end{verbatim}
This keyword is used to define or redefine a body in the most basic way (see also ``\htmlref{qbod}{qbod}''). Each body must have five to seven surfaces to be mesh-able. However, the number of recommended surfaces is six. The first two surfaces should be the ''top'' and the ''bottom'' surfaces. For example,\\\\gbod B001 NORM - S001 + S002 - S005 - S004 - S003 - S006\\\\will create a body B001. The keyword ''NORM'' is a necessary placeholder for future functionality but has no actual meaning. Next, follow the surfaces with a sign ''+'' or ''-'' in front that indicates the orientation of each surface. These signs will be corrected automatically if necessary. If the an automatically generated name is desired, then type ''\verb_!_'' instead of a name.
\subsection{\label{gonly}gonly}
\begin{verbatim}
'gonly' 'on'|'off'
\end{verbatim}
This keyword is used to erase the contents of the menu area. Sometimes this is useful for hardcopies.
\subsection{\label{graph}graph}
\begin{verbatim}
'graph' [<amplitude|*chars*> 'amp']|
[<material|*chars*> 'mat']|
[<set|seq> 'length' ['+'|'-'|'+c'|'-c']]|
[<set>|'-p' 'nr'|'time'|'descr'|<parameter-name> ->
[<Dataset-name> <entity-name>|<parameter-name> ] ->
[<first-Dataset-Nr> <last-Dataset-Nr>] ]
\end{verbatim}
This keyword is used to create time history plots of nodal values. The values of the pre-selected nodes stored in the referenced set will be written to a file called ''graph\_\verb_<_nr\verb_>_.out''. A gnuplot command file will be written called ''graph\_\verb_<_nr\verb_>_.gnu'' and executed. The resulting file ''graph\_\verb_<_nr\verb_>_.ps'' will be automatically displayed with the postscript viewer unless the user has used ``\htmlref{asgn}{asgn}'' to turn the presentation off (and the \verb_<_nr\verb_>_ can be defined). The default viewer is ''ghostview'' but this can be changed in the ''cgx.h'' file before the program is build. See also ``\htmlref{How to generate a time-history plot}{How to generate a time-history plot}'' for further details.
A set with the nodes of interest must be created (usually with ``\htmlref{qadd}{qadd}'') before a graph can be drawn. If the parameter l (length) is used to plot values along the length of a set of nodes then this set should be of the sequence type (usually created with ``\htmlref{qseq}{qseq}''):\\\\graph seq length\\\\The length is calculated as the sum of the distances between successive nodes. Usual sets (as created with ``qadd'') will be copied into a temporary ordered set in a way that the positive direction points away from the origin of the coordinate system. The direction can be chosen with a '+' or '-' sign following the 'length' parameter ('+' is default). This temporary ordered set is kept when a 'c' follows the sign. The name of this set is equal to the original setname but with an 'N' in front.
Instead using existing nodes it is possible to use a line or a combined line ``\htmlref{lcmb}{lcmb}'' as a method to generate new locations for data-points. The current displayed results will be automatically mapped to this locations and shown in a 2D graph over the length of the line:\\\\graph lineset length +\\\\The set lineset stores a line. Since a '+' was given the graph starts at the beginning of the line. With a '-' it would start at the end of the line.
Since version 1.8, there are two ways of operation. One way is to specify the Datasets and the entity as parameters of the command\\\\graph set time DISP D1\\\\which will display the displacement D1 of nodes in ''set'' vs. the dataset-time of all ''DISP'' Datasets. The first and the last dataset can be specified optionally.
For the traditional way, a sequence of datasets must have been selected (see \htmlref{Toggle Dataset Sequence}{Toggle Dataset Sequence}). After the selection of the datasets, an \htmlref{Entity}{Entity} must be specified. Then, the user could use the graph command to generate the history-plot of this pre-defined sequence. The command\\\\graph set nr\\\\will display the values on the node-positions vs. the dataset-numbers. The command\\\\graph set time\\\\will display the values on the node-positions vs. the dataset-values (usually time or frequency, see \htmlref{Nodal Results Block}{Nodal Results Block}, parameter ``VALUE'')) and the command\\\\graph set descr\\\\will display the values on the node-positions vs. the dataset-description (only makes sense if the description is a numerical value. See \htmlref{Nodal Results Block}{Nodal Results Block}), parameter ``TEXT'', for the location of this data in the frd-file.\\\\In addition, a second data-file is written ''graph.out2'' which stores the node-number and the node-coordinates and all values at this node-position for all datasets. This file can be used to display values over node-positions, etc. It is up to the user to generate a suitable plot out of this data.\\\\The ''graph'' files can be edited and combined. For example to plot one type of value vs. another type of value.\\\\
If an ccx- or Abaqus-input-file was read then it is also possible to create time history plots of the amplitudes (*AMPLITUDE in ccx) or the material-properties can be displayed (*MATERIAL in ccx):\\\\graph amplitude-name amp\\\\graph material-name mat\\\\Wildcards (*) can be used to search for amplitudes or materials of a certain expression.
The parameters related to datasets can also be displayed with the graph command:\\\\graph -p time DISP HID\\\\This command plots the nodal-diameters used in a cyclic symmetry calculation over the dataset-value. Only few parameters are written from ccx in frd-format. Other applications might define its own parameters in frd-format (see \htmlref{Parameter Header Record}{Parameter Header Record} for the format of a parameter record). If needed cgx can also create this dataset parameters, see the ''\htmlref{ds}{ds}'' command on how to do it.
The running number in the name of the written file is stored in the value !graph\_Nr (the leading '!' prevents the value from beeing written by the send or save command). It can be used in a subsequent ''\htmlref{sys}{sys}'' command to change the filename.
\subsection{\label{grpa}grpa}
\begin{verbatim}
'grpa'
\end{verbatim}
This command allows to assign elements to a group. The group number is an element attribute used in the frd file. That way the user can read an result file, define groups and store the results together with group-definitions for further use in case no ccx input file is available. One element can only belong to one group. This command assigns a group number to certain elements stored in a given set. See ``\htmlref{Element Definition Block}{Element Definition Block}'' how this applies to the result format (frd).
\subsection{\label{grps}grps}
\begin{verbatim}
'grps'
\end{verbatim}
The result format (frd) allows to assign elements to a group. One element can only belong to one group. This command creates sets and stores all elements of a certain group in a certain set called ``+grp[nr]''. See ``\htmlref{Element Definition Block}{Element Definition Block}'' how this applies to the result format (frd).
\subsection{\label{gsur}gsur}
\begin{verbatim}
'gsur' <name(char<9)>|'!' '+|-' 'BLEND|<nurbs>|<shape>' ->
'+|-' <line|lcmb> '+|-' <line|lcmb> .. (3-5 times)
\end{verbatim}
This keyword is used to define or redefine a surface in the most basic way (see also \htmlref{qsur}{qsur}). Each surface which is intended for a regular mesh must have three to five edges which might consist of a single line or a combined line (see \htmlref{lcmb}{lcmb}) to be mesh-able. However, the recommend amount of edges is four. For example,\\\\gsur S004 + BLEND - L002 + L00E + L006 - L00C\\\\will create the surface S004 with a mathematically positive orientation indicated by the ''+'' sign after the surface name. The keyword ''BLEND'' indicates that the interior of the surface will be defined according to Coons \cite{Coons} or a NURBS surface (\htmlref{nurs}{nurs}) or shape (\htmlref{shpe}{shpe}) is referenced. It should be mentioned that only nurbs or shape related surfaces can be meshed with unstructured triangles. Use a ''+'' or ''-'' in front of the lines or lcmbs to indicate the orientation. These signs will be corrected automatically if necessary. If the surface is intended for an unstructured mesh it is not necessary to care about the correct orientation of the lines and the number of edges is not limmited. If automatic name generation is desired, then use ''\verb_!_'' instead of a name.
\subsection{\label{gtol}gtol}
\begin{verbatim}
'gtol' [RETURN]|<auto>|<geometric-tol>
\end{verbatim}
This keyword is used to enquire the default geometric tolerance:\\\\
gtol\\\\
Or it is used to recalculate the geometric tolerance:\\\\
gtol auto\\\\
Or it is used to set the geometric tolerance:\\\\
gtol 0.1\\\\
The \htmlref{merg}{merg} command will recognize points or nodes as equally located when the distance between them is less than gtol.
The command writes to the ''\htmlref{stack}{stack}''.
\subsection{\label{hcpy}hcpy}
\begin{verbatim}
'hcpy' [['gif'|'png'|'ps'|'tga'] ['name']]|
[make [ls]]|[clean]
\end{verbatim}
This keyword creates a hardcopy in one of the above formats. Default is tga. Use the program ''convert'' to convert to other formats if needed.\\\\hcpy ps\\\\will create a ps file with the default name hcpy\_\verb_<_nr\verb_>_.ps\\\\hcpy ps name\\\\will create name.ps\\\\hcpy make ls\\\\will bundle all ps files created in one file using the landscape (ls) format. The ls parameter may be omitted. A maximum of six pictures is placed on each page.\\\\hcpy clean\\\\will remove all ''hcpy'' files. See also the commands ''\htmlref{ulin}{ulin}'', ''\htmlref{rot}{rot}'', ''\htmlref{ds}{ds}'', ''\htmlref{max}{max}'', and ''\htmlref{min}{min}'' which might be used in hcpy batch files. These commands should be used in the shown order before using the ''hcpy'' command.
The command writes the file-name and -nr to the ''\htmlref{stack}{stack}''.
\subsection{\label{help}help}
\begin{verbatim}
'help'
\end{verbatim}
This keyword prints a short overview of all commands.
\subsection{\label{if}if}
\begin{verbatim}
'if' <value>|<const> 'eq'|'ne'|'=='|'!='|'<'|'>' <value>|<const>
\end{verbatim}
This keyword is used to compare two values (``\htmlref{valu}{valu}'' or constant numbers). If the compare is True the following commands are executed. If the compare is False the code after 'else' is executed. Normal operation continues after 'endif':
\\\\if arg1 == arg2\\\\will skip successive commands when the numerical value stored in 'arg1' is not equal to the numerical value stored in value 'arg2'. The values are locally converted to 'float' format for the numerical comparison. The 'eq' and 'ne' compare strings and should not be used for numerical values since no conversion to a common format is done. Two strings are equal if they have the same length and all characters are equal.
See also ``\htmlref{while}{while}'', ``\htmlref{valu}{valu}'', ``\htmlref{stack}{stack}'' and ``\htmlref{How to run cgx in batch mode}{How to run cgx in batch mode}''.
\subsection{\label{int}int}
\begin{verbatim}
'int' <line> <line>
\end{verbatim}
This command creates the intersection point between the two specified lines. The longer part of the given lines is kept. The shorter part will be erased.
\subsection{\label{init}init}
\begin{verbatim}
'init' <internal parameters>
\end{verbatim}
This command defines the window and model size, the model position, rotational center, fonts and others. It is created and written to a file by the
``\htmlref{send}{send}'' command. If that command should change the window dimensions and is used in a batch file, it has to be used in the first line. Otherwhise the window dimensions take only effect after the batch file was completely parsed and executed. A batch file could look like that::
\begin{verbatim}
read init.fbl
read ccx.frd new
ds 1 e 1
plot fv all
hcpy png
quit
\end{verbatim}
If the window size is not affected by the command then it is not necessarily the first command in the batch file.
\subsection{\label{lcmb}lcmb}
\begin{verbatim}
'lcmb' <name(char<9)>|'!' ['+|-' <line> '+|-' <line> '+|-' ->
<line>..(up to 14 lines)]|
['ADD' '+|-' <line> '+|-' <line> ->
'+|-' <line>..(up to 14 lines)]
\end{verbatim}
This keyword is used to define, extend or redefine a combined line (lcmb). Combined lines are necessary if the edge of a surface should be made of more than one line. Usually the user does not create lcmb's directly. They are created automatically during the process of defining a surface with the command \htmlref{qsur}{qsur}. There is no limitation to the number of lines in a combined line. However with one command, not more than 14 lines can be specified at a time. To specify more than that or to extend an existing lcmb a modify command has to follow. For example,\\\\lcmb U260 + U249 - U248 - U247 - U243 - U237 - U236 - U231 - U219 \\\\defines the lcmb U260 with 8 lines and their orientation in the lcmb. The following command\\\\lcmb U260 ADD - U218 - U217\\\\extends the lcmb U260 by two additional lines.
It should be noted that an existing lcmb can be converted into a spline with the command \htmlref{seqc}{seqc}.
\subsection{\label{length}length}
\begin{verbatim}
'length' <set>
\end{verbatim}
This keyword is used to calculate the length of all lines stored in a set.
The command writes to the ''\htmlref{stack}{stack}''.
\subsection{\label{line}line}
\begin{verbatim}
'line' <name(char<9)>|'!' <p1> <p2> <cp|seq> <div> [<bias>]
\end{verbatim}
This keyword is used to define or redefine a line. A line depends on points. A line can only be defined if the necessary points are already defined. Attention: The points p1 and p2 must not lie on the same location. There are three different types of lines available. The straight line\\\\
line l1 p1 p2 4\\\\
is defined by: its name l1 (the name could have up to 8 characters), by the points p1 and p2 and optionally by the division. The arc\\\\
line \verb_!_ p1 p2 cp 4\\\\
needs a center point cp. The radius changes linear from p1 to p2 if the center-point cp is excentric. The name is chosen automatically (triggered by the character \verb_!_). The spline\\\\
line l1 p1 p2 seq 4\\\\
needs a so called sequential-set, seq (use the command ``\htmlref{seqa}{seqa}'' or ``\htmlref{qseq}{qseq}'' to define such a set). This set seq stores the spline points between the end-points in the right order. The spline function is described in \cite{spline}. Usually, a line is defined interactively with ``\htmlref{qlin}{qlin}''.
\subsection{\label{lnor}lnor}
\begin{verbatim}
'lnor' <name|!> [<set>|[<p1> <p2> <p3>]] <length>
\end{verbatim}
A new line normal to a plane defined by three points and a length is created. It starts at the last point. The three points may be provided by specifying a set of either unordered or ordered type (a sequence).
\subsection{\label{mata}mata}
\begin{verbatim}
'mata' <Material-Nr> <set>
\end{verbatim}
This keyword is used to assign a material-number to a set of elements. Currently, this feature is only useful if the NASTRAN format is used. The material-number is a numeric attribute assigned to each element of the mesh and will be stored with the mesh in the frd-format or nastran-format (see \htmlref{send}{send}). For example,\\\\
mata 7 part\\\\
assigns the material-number 7 to all elements in the set part. Elements can have just one material-number. The default number is 1. These numbers will be saved with the mesh if the database is written to the file-system with the command:\\\\send all frd or send all nas\\\\If the frd-file is used later, the material-number(s) are available immediately.
\subsection{\label{map}map}
\begin{verbatim}
'map' <slave-set> <master-set> ->
[['surf']|
['volu']|
[ 'x'|'y'|'z'|'rx'|'ry'|'rz']] ->
'ds'[<nr>] ['nex']
\end{verbatim}
This keyword is used to map (or interpolate) values from one mesh to another. For example\\\\map slave master surf ds1\\\\will map the values from Dataset 1 to the nodes of set slave. All available datasets will be mapped if no number follows the ``ds'' parameter. The parameter ``surf'' is used for mapping of values from element faces to element faces and their nodes (2D or 3D). Do not use internal nodes or volume elements! A typical application would be the mapping of pressure. The parameter ``volu'' triggers the mapping from a 3D mesh to another 3D mesh of the same shape (i.e. temperatures). The parameters ``x,y,z'' are used for mapping from 2D to 2D/3D in the indicated direction. The parameters ``rx,ry,rz'' are used for rotational mapping of 2D to 2D/3D around the x,y,z-axis. The ``master'' set must include the nodes and their elements. The optional parameter 'nex' prevents extrapolation and outside slave nodes get a zero value and they are stored in set '-notMapped'. Unconnected nodes are not allowed. Usually the master nodes (on which the values are known) were included from an external result file with the ``\htmlref{read}{read}'' command (with the parameter ``add''). For further details see ``\htmlref{How to map loads}{How to map loads}'' in the appendix. Remark: The 3D mapper uses multi threading. The number of cores is defined in cgx.h (NTHREADS).
\subsection{\label{mats}mats}
\begin{verbatim}
'mats'
\end{verbatim}
This keyword is usually used when a mesh with mateial numbers was read. For example a native-netgen file \cite{NETGEN} or an frd file (see ``\htmlref{Element Definition Block}{Element Definition Block}''). It lists the used material numbers and will generate sets for each material. The solver ccx writes the original material names in the frd file after the related material number (see ``\htmlref{User Header Record}{User Header Record}'' and ``\htmlref{prnt}{prnt} usr'').
\subsection{\label{max}max}
\begin{verbatim}
'max' <value> ['e'|'f'|'i'|'l'] ['l'|'u']
\end{verbatim}
This keyword is used to define the upper value of the scale in the menu area (see figure \ref{mainwindow}). The number representation can be changed between exp, float, int or log10 for which the scale is restricted to positive values. For example\\\\max 1100 i\\\\will set the upper value to 1100 and the representation to integer. A third parameter "l" (lock) or "u" (unlock) can be provided which locks the scale to certain max or min values. The selection of a different dataset will not change the scale. The specified value defines the highest value of the last box. See also ''\htmlref{maxr}{maxr}'', ''\htmlref{min}{min}''.
\subsection{\label{maxc}maxc}
\begin{verbatim}
'maxc' <value> ['e'|'f'|'i'|'l'] ['l'|'u']
\end{verbatim}
The functionality of ''\htmlref{maxr}{maxr}'' but the color of the last box is 'n' (neutral) unless the user had changed this color by using the \htmlref{asgn}{asgn} command.
\subsection{\label{maxr}maxr}
\begin{verbatim}
'maxr' <value> ['e'|'f'|'i'|'l'] ['l'|'u']
\end{verbatim}
The functionality of ''\htmlref{max}{max}'' but the specified value defines the lowest value of the last box. See also ''\htmlref{maxc}{maxc}''
\subsection{\label{menu}menu}
\begin{verbatim}
'menu' <name> <command>
\end{verbatim}
This keyword is used to add a cgx command line to the menu. It will appear in the submenu 'user'. The command is usually a 'read' command which loads and executes a file with cgx commands:\\\\menu checkbou read cb\\\\were 'cb' is a value (''\htmlref{valu}{valu}'') which stores the path to a file to check boundary conditions. The file could have been used directly but using a value is convenient since it is then possible to start the same action with a quite short command line (''\htmlref{read}{read} cb'') instead of typing the full file name or using the menu. This commands are usually stored in a ``.cgx'' file in the home directory to link them to the menu during startup. Regard also the command ''\htmlref{subm}{subm}'' which uses submenus below 'user' for the same task.
\subsection{\label{merg}merg}
\begin{verbatim}
'merg' 'n'|'e'|'p'|'l'|'c'|'s' <set> <gtol> 'nolock'
\end{verbatim}
This keyword is used to merge close points and nodes or equally defined entities. The following entities are known: Nodes n, Elements e, Points p, Lines l, Combined Lines c, Surfaces s. For example, to merge points included in the set point-set type\\\\merg p point-set\\\\Only entities included in the set are considered. The value gtol determines the maximum distance between merged nodes and points. The parameter nolock will force merging even if the dependent entities, like lines, are degenerated afterwards. For example, a degenerate line will have two equal points.
\subsection{\label{mesh}mesh}
\begin{verbatim}
'mesh' <set> ['fast'] ['tet' <size>|'block'|->
'lonly'|'nolength'|'noangle'|'length'|'angle']
\end{verbatim}
This keyword is used to start the meshing of the model. before using the mesh command, the element types must be defined with the \htmlref{elty}{elty}\ command. Existing elements will not be deleted. Therefore, its possible to start cgx in the viewing mode (-v) with a mesh alone, and then create bodies and fill them with additional elements. To delete a mesh use the command \htmlref{del}{del} mesh. See the command ''\htmlref{send}{send}'' to describe areas for boundary-conditions.
\\\\In case a blocked grid for cfd-calculations should be generated, use the additional parameter ''block'':
\\\\mesh setname block\\\\ see also the section ''\htmlref{Remarks Concerning Duns and Isaac}{Remarks Concerning Duns and Isaac}''.
\\\\The mesh optimizer for structured elements is controlled with the additional parameters ''nolength'' and ''noangle''. These parameters switch off length and angle optimizations of elements. The parameter ''fast'' suppresses the Nurbs-based meshing and uses the fast coons-algorithm for surface meshing.
\\\\Usually all elements are generated in a structured way. That means that no holes in a surface or volume are permitted. The only exception are the element types ''tr3u'' and ''tr6u''. This types are generated in an unstructured way using the mesher from \cite{mesh2d}. In this case, holes are permitted and a surface coming from a cad system should be meshable. These surfaces MUST reference a given NURBS-surface or a shape to be meshable (if they are plane, a shape will be genrated atomatically). This is usually the case if the data is derived from a cad-system with the interface-program (vda2fbd). If NETGEN \cite{NETGEN} is installed and if the elements form a closed volume they can be used to generate a tet mesh:\\\\mesh set-with-trias tet\\\\or\\\\mesh set-with-trias tet \verb_<_element-target-size\verb_>_\\\\This is a second method to generate tets. The other one is to use ``\htmlref{elty}{elty}'' to asign tet-elements to bodies. Remark: The mesher is able to use multi threading. The number of cores are defined in cgx.h (NTHREADS) and can be changed with ``\htmlref{asgn}{asgn}'' during run time. The actual number can be listed with ``\htmlref{prnt}{prnt} info''
\subsection{\label{mids}mids}
\begin{verbatim}
'mids' <set> ['force'|'lin'|'gen'|'rem']
\end{verbatim}
This keyword is used correct the midside node-position of higher order elements stored in a set. It is performed automatically if a new mesh is created or if nodes are projected to target surfaces. The correction will use a circular track defined by the corner-nodes and the midside node. With the parameter ''lin,'' the corrected position is halfway between the corner-nodes for all inner nodes. Except the midside nodes on the surface are not linearized but use the circular track. The user might overrule this restriction with the ``force'' option. The ''gen'' option will generate midside nodes for linear elements like he8 or te4. The ''rem'' option will remove midside nodes from the element formulation but the nodes are not deleted. The nodes are stored in a new set called ''-delete'' and the user might ''\htmlref{zap}{zap}'' this set.
\subsection{\label{min}min}
\begin{verbatim}
'min' <value> ['e'|'f'|'i'|'l'] ['l'|'u']
\end{verbatim}
This keyword is used to define the lower value in the scale in the menu area (see figure \ref{mainwindow}). The number representation can be changed between exp, float, int or log10 for which the scale is restricted to positive values. For example\\\\min 0 i\\\\will set the lower value to 0 and the representation to integer. A third parameter "l" (lock) or "u" (unlock) can be provided which locks the scale to certain max or min values. The selection of a different dataset will not change the scale.
\subsection{\label{minc}minc}
\begin{verbatim}
'minc' <value> ['e'|'f'|'i'|'l'] ['l'|'u']
\end{verbatim}
The functionality of ''\htmlref{minr}{minr}'' but the color of the first box is 'n' (neutral) unless the user had changed this color by using the \htmlref{asgn}{asgn} command.
\subsection{\label{minr}minr}
\begin{verbatim}
'minr' <value> ['e'|'f'|'i'|'l'] ['l'|'u']
\end{verbatim}
The functionality of ''\htmlref{min}{min}'' but the specified value defines the lowest value of the second box.
\subsection{\label{minus}minus}
\begin{verbatim}
'minus' 'n'|'e'|'p'|'l'|'s'|'b'|'S'|'L'|'sh' <set>
\end{verbatim}
This keyword is used to remove entities of a set from the screen (see also \htmlref{plus}{plus}). The following entities are known:\\\\
Nodes n, Elements e, Points p, Lines l, Surfaces s, Bodies b, Nurb Surfaces S, Nurb Lines L and Shapes sh\\\\Only the set which was used to display the entities can be used to remove them.
\subsection{\label{mm}mm}
\begin{verbatim}
'mm' <value> ['f'|'i'|'e'] ['l'|'u']
\end{verbatim}
This keyword combines the functionality of the commands \htmlref{max}{max} and \htmlref{min}{min} in one command. The minimum value is set to -max.
\subsection{\label{move}move}
\begin{verbatim}
'move' <set> ['scal' <fx> <fy> <fz> <pnt>]|
['tra' <dx> <dy> <dz>]|
['rot' [<p1> [<p2>]|['x'|'y'|'z']] |
['x'|'y'|'z'] <alfa> |
[<alfa1> <ax1> <alfa2> <ax2>]]|
['rad' [<p1> [<p2>]|['x'|'y'|'z']] |['x'|'y'|'z'] |
'p'<pnt> <dr>] | [<dr1> <ax1> <dr2> <ax2>]
['nor' <dr>]|
['equ' <trgt-set> [<tol>]]|
['mir' <P1> <P2>]
\end{verbatim}
This keyword is used to move nodes or points which are stored in a set. Related entities will be moved as well (Warning: results are not affected by this command, they are unchanged). For example to move a line it is necessary to include their points in a set (see \htmlref{comp}{comp}). Several transformations are available:\\\\For example scal will scale the entities of the set, the scaling factors fx, fy, fz can be chosen independently and a reference point can be used,\\\\
move part scal 2 \\
move part scal 1 1 2\\\\
move part scal 2 P0\\
move part scal 1 1 2 P0\\\\
tra will move it away by the vector dx, dy, dz,\\\\
move all tra 10 20 30 \\\\
rot will move it around the axis defined by the points p1 and p2 (or the axis x,y,z) by alfa degrees,\\\\
move all rot p0 px 20.\\\\
rad will move it radially to the x-, y- or z-axis (or two points as above) or to a single point,\\\\
move cylinder rad x 20.\\
move sphere rad pP0 10.\\\\
The axis for the rad or rot commands can also be specified by one point and on main-axis (x|y|z) as shown in the following example:\\\\
move all rot P y 20.\\\\
The change in length or angle might be interpolated for the rad or rot cases:\\\\
move set rad x 1. 120. 2. 140.\\\\
The number 1 specifies the radial change around x at 120 length units along the x-axis and 2 is the change at 140 length units,\\\\
nor will move nodes away in the direction of averaged normal local vector. Associated element faces must exist. Eventually use the ''\htmlref{mids}{mids}'' command to correct the midside node position of higher order elements,\\\\
move set nor 1.2 a\\\\
With parameter equ points or nodes will be moved to their nearest neighbour (nodes only to nodes, points only to points) in set ``trgt-set'' as long as the neighbour is not more than 0.01 units away:\\\\
move slave-set equ trgt-set 0.01\\\\
mir will mirror the set. The mirror-plane is placed normal to the direction running from P1 to P2 and placed at P2, or defined by a point and a main-axis (x|y|z) as shown in the following example:\\\\
move part mir P y
\subsection{\label{movi}movi}
\begin{verbatim}
'movi' [loops <nr>]|[delay <sec>]|[start]|[stop]|
[frames ['auto']|[<nr> [<epilogFile>]]]|
[make [<pic-nr> <pic-nr> [<prolog.gif>]]]|
[clean]
\end{verbatim}
This keyword is used to start or stop the recording of a movie. After ''start'' all frames will be stored in single gif files until the ''stop'' command is issued. Use the option ''make'' to assemble the movie from the individual files. The range consists of the nr of the first and last picture to be used. An existing movie will be copied in front of a range of frames if its name is given. With the option ''delay'' a time-delay (in seconds) between frames can be specified. With the option ''loops'' a certain nr of loops can be chosen before the animation stops. Without giving a certain nr the default is chosen which is infinite loops. With the option ''clean,'' all single gif-files will be erased.\\\\Below is an example command sequence. Do not use this sequence in a file since the start and stop commands will be executed without delay (see option 'frames' for use in a command file). Instead of using the default value of loops here one loop is defined:
\begin{verbatim}
movi delay 0.01
movi loops 1
movi start
(let the program run until all frames are recorded)
movi stop
movi make
(or if a certain movie should be extended by the first 500 frames:)
movi make 1 500 prolog.gif
movi clean
\end{verbatim}
When using the ``frames'' option the recording starts and a given nr of frames will be recorded before the recording stops atomatically. In cases were an animation of a mode shape or a sequence of datasets should be recorded it might be useful to use the argument 'auto' instead of a specific nr of frames. With the 'auto' functionality the program determines how much frames are needed to cover one period of frames and this period is then recorded. The 'make' and 'clean' functionality is included in the 'auto' mode. The 'auto' mode requires that the animation or the sequence is defined and started with the next command line (see ''\htmlref{ds}{ds}''):
\begin{verbatim}
anim real
movi frames auto
ds 3 eh 7
\end{verbatim}
There is a second method available when successive commands after the recording of a given number of frames are needed:\\\\
movi frames 90 epilogCommandFile.fbl\\\\
This command must be the last command in an eventual command file. After 90 frames the given file 'epilogCommandFile.fbl' will be executed (the records are interpreted as cgx commands).\\\\
Further remarks in ''\htmlref{How to change the format of the movie file}{How to change the format of the movie file}''. See also the menu options ''\htmlref{Start Recording Gif-Movie}{Start Recording Gif-Movie}''.
\subsection{\label{msg}msg}
\begin{verbatim}
'msg' 'on|off'
\end{verbatim}
This keyword is used to enable or disable full printout during runtime. This is useful for debugging purposes. The default is ''off''.
\subsection{\label{mshp}mshp}
\begin{verbatim}
'mshp' <name> 'l'|'s'|'b' ->
<element-type-nr> <element-attr-nr> ->
<lockFlag> <density>|<size>
\end{verbatim}
This keyword is used to set the mesh parameters for individual surfaces and bodies:\\\\mshp A001 s 8 -1 1 2.074\\\\sets the lement type to 8 (please see ''\htmlref{Element Types}{Element Types}'' for a key to the element numbers), the attribute to -1 (tr6u) and the mesh density to 2.074 (mesh refinement). The '1' after the '-1' indicate a locked state and that all this properties can not be changed with an ''\htmlref{elty}{elty}'' command before unlocked. For sets of surfaces or bodies the \htmlref{elty}{elty} command must be used. The attributes are integer values with the following meaning:
\begin{itemize}
\item -1: unstructured mesh tr3u (-2 for mesh with libGLu tr3g )
\item 0: default
\item 1: reduced integration be2r be3r he8r he20r
\item 2: incompatible modes he8i
\item 3: DASHPOTA be2d
\item 4: plane strain (CPE) tr3e tr6e qu4e qu8e
\item 5: plane stress (CPS) tr3s
\item 6: axisymmetric (CAX) tr3c
\item 7: fluid he8f
\item 8: tet10m
\item 14: reduced integration, plane strain (CPE)
\item 15: reduced integration, plane stress (CPS)
\item 16: reduced integration, axisymmetric (CAX)
\end{itemize}
\subsection{\label{neigh}neigh}
\begin{verbatim}
'neigh' <set> <tol> ['abq'|'ans'|'nas'] ->
['con' ['tie']|[[<stiffness>] [<mue>]]]|
['equ' [<dofs('t'|'1-6')..> 'c'|'u'..]|
['tie' ['yes']]|
['nsc' ['tie']|[[<stiffness>] [<mue>]]]
\end{verbatim}
This keyword is used to find neighboring element faces (and nodes) which can be used in a contact formulation. So far *TIE, *CONTACT PAIR, or *EQUATION formulations for abaqus and ccx are availabe but only equations for ansys and nastran. It will search for disjunct meshes and generates sets storing the faces of this meshes with setnames starting with '+CF'. The neighboring element faces are stored in additional sets which reference this meshes. The name of such a set consist of three parts. The first part of the name is just one character indicating if it is to be used at the dependent 'D' or independent 'I' side. The second part references the set containing the dependent faces, the third references the neighbor (the leading '+' of the basic sets are neglected). For example:
\begin{verbatim}
DCF2_CF4
\end{verbatim}
includes the faces and nodes of '+CF2' which are close to '+CF4' were '+CF2' should be the dependent side. All sets for which no partner could be found are stored in set '+UNCON'.
The cgx writes equations connecting both sets when using the optional parameter 'equ':\\\\ neigh all 0.1 abq equ\\\\But the recommended method is using 'tie', 'con' or 'nsc' which write the ccx command *TIE;\\\\ neigh all 0.1 abq tie\\\\or *CONTACT:\\\\ neigh all 0.1 abq con 1e6 0.2\\\\In this example the value 1e6 is used as normal contact stiffness (1/100 of that will be used as tangential stiffnes) and 0.2 as friction coefficient. The parameter 'con' defines surface to surface contact and 'nsc' node to surface contact. If the user does not provide values for stiffness and mue the cgx does not write *SURFACE INTERACTION, *SURFACE BEHAVIOR and *FRICTION commands. If instead of a stiffness 'tie' is given then a tied contact is formulated:\\\\ neigh all 0.1 abq con tie\\\\Since ccx regards no gap criterion to exclude faces which are not in contact the surface sets must be defined more restricted for the 'con tie' option. Because of that some close faces might not be included in the contact sets. REMARK: Option TIED with node to surface contact does not work so far, so an alternative method is recomended:
Instead of PRESSURE-OVERCLOSURE=TIED the cgx writes PRESSURE-OVERCLOSURE=LINEAR with a normal and tangential stiffness of 1e7. To prevent a sliding contact mue is set to 1e30. The user should run his calculation in the following way:
\begin{verbatim}
** generate springs
*STEP
*STATIC
*BOUNDARY
Nall,1,3
*END STEP
** use the springs w/o updating them
** either:
***STEP,NLGEOM,perturbation
** or:
*STEP,perturbation
** either:
*STATIC
** or:
*FREQUENCY
*BOUNDARY,OP=NEW
\end{verbatim}
).
The *TIE commands use the parameter ADJUST=NO for robustness (might be overruled when using as a last parameter 'yes'):\\\\ neigh all 0.1 tie yes\\\\The user should check his calculation for unrealistic high stresses at the junctions and eventually change the formulation on such locations to ADJUST=YES. If the calculation does not run anymore he might modify the mesh locally or use the 'equ' option for that location.
The necessary ccx contact commands and the set definitions are written when using the parameter 'tie', 'nsc' or 'con'. The single files storing the sets might be bundeled into one file with:\\\\cat CF* \verb_>|_ all.inp\\\\This file and the file with the *TIE or *CONTACT formulations are then referenced in the ccx input file with *INCLUDE commands:
\begin{verbatim}
*INCLUDE, input=all.inp
*INCLUDE, input=neigh.con
\end{verbatim}
When using the 'equ' option just one file has to be generated and used in ccx:
\begin{verbatim}
*INCLUDE, input=all.inp
\end{verbatim}
It should be mentioned that the option 'equ' uses actually the same functionality as the command ``\htmlref{send}{send}'' with parameter 'areampc'. In consequence all the functionality of that command is usable. A closer description of the available options can be found in that section. For example the last parameter 'u' prevents the adaption of the position of the dependent nodes.
The command writes the setnames of the dependent and independent face pairs to the ''\htmlref{stack}{stack}''.
\subsection{\label{node}node}
\begin{verbatim}
'node' <nr|!> [<x> <y> <z> ['0'|'1']]|
['v' <value> [<value> .. ]]|
['vs' <value> ]
\end{verbatim}
This keyword is used to define or redefine a node. For example\\\\node 23580 10. 0. 1.\\\\defines a node with the number 23580 at the position x=10, y=0, z=1. With a trailing '0' the update of related entities is skipped:\\\\node 23580 10. 0. 1. 0\\\\This is useful to speed up the execution when a long list of nodes will be defined. Just the last node needs the update which is executed with a trailing '1'. But that is the default anyway and can be omitted.
If the an automatically generated name is desired, then type ''\verb_!_'' instead of a name.
The values of the selected (current) dataset of a given node can be manipulated by using the option 'v':\\\\
node 23580 v 1.1 2.1 3.3\\\\
redefine the first three entities to the above values of the selected dataset. The maximum number of entities is determined by the definition of the dataset. See also ''\htmlref{ds}{ds}'' on how to select or generate a new dataset or on how to manipulate entities of the selected dataset.
The value of the selected (current) entity and dataset of a given node can be manipulated by using the option 'vs':\\\\
node 23580 vs 1.1\\\\
\subsection{\label{norm}norm}
\begin{verbatim}
'norm' <set>
\end{verbatim}
This keyword is used to evaluate the normal direction of nodes stored in the given set. Of course the node must be referenced by faces. The command writes the normal direction of nodes to the konsole. The user might store this values on the stack for further use (see also \htmlref{stack}{stack} and \htmlref{valu}{valu}).
\subsection{\label{nurl}nurl}
\begin{verbatim}
'nurl' <name(char9)>|'!' ['DEFINE' ['COMPACT'] ->
<pstart> <pend> <deg> <npnt> <nknt> <div>]|
['CONTROL' <index> [<pnt>|<x y z>] <weight>]|
['KNOT' <index> <value>]|
['END']
\end{verbatim}
This keyword is used to define a nurbs line. So far, this command is only used to read a nurbs-line definition. Nurbs lines are converted automatically into a spline. Nurbs lines can be displayed but not saved. There are two possible ways of definition. Either by using predefined point-names or by specifying the coordinates explicitly. When the coordinates are defined, the parameter ''COMPACT'' must be used as shown above. When the point names are used, then ''COMPACT'' must be omitted. CAD-interfaces might use this functionality.
\subsection{\label{nurs}nurs}
\begin{verbatim}
'nurs' [<name(char9)>|'!' ['DEFINE' ['COMPACT'] ->
<u.deg> <v.deg> <u.npnt> <v.npnt> <u.nknt> <v.nknt>]|
['CONTROL' <u.index> <v.index> [<pnt>|<x y z>] ->
<weight>]|
['KNOT' <U>|<V> <index> <value>]|
['END']] |
[ <!> <setname(containing surfaces)>]
\end{verbatim}
This keyword is used to define a nurbs shape. Surfaces might use nurbs to define the interior geometry. There are two possible ways of definition. The first using predefined point names and the second by specifying the coordinates explicitly. When the coordinates are defined, then the parameter ''COMPACT'' must be used as shown above but when point names are used, then ''COMPACT'' must be omitted. CAD-interfaces might use this functionality.\\\\REMARK: The knot-vector has to have a multiplicity of ``degree+1''.\\\\
There is also a small nurbs-building capability in cgx. It is possible to use
existing surfaces (with 4 edges) which do not already reference a given
nurbs or shape. The new nurbs will follow the Coons-algorithm but can be modified by
moving the control points. NOTE: The number of control points is controlled by the
divisions of the lines defining the surface edges. The surfaces must be stored in a set. For
example,\\\\nurs ! surfaceSet\\\\will define nurbs for all surfaces stored in
the set surfaceSet. This nurbs can be used to define the interiour of other
surfaces. This is necessary if ``tr3u'' elements (unstructured triangles)
should be used and if the surface is not related to a given shape. Note:
``\htmlref{qsur}{qsur}'' offers another option to create nurbs related
surfaces by associating existing surfaces to an overlapping existing
NURBS. The interiour of the surface is then defined by the NURBS.
Remark: Internally nurbs are always linked by a shape to a surface definition. Such a shape will be automatically generated when a nurbs is finished by the ``END'' parameter using the same name as the nurbs. This shapes will not be written to a file but using the \htmlref{prnt}{prnt} command will list them:\\\\shpe N001 NURS N001
\subsection{\label{ori}ori}
\begin{verbatim}
'ori' <set>
\end{verbatim}
This keyword is used to trigger the orientation of the entities. This is done automatically and it should never be necessary to use it manually.
\subsection{\label{plot}plot}
\begin{verbatim}
'plot' ['n'|'e'|'f'|'p'|'l'|'s'|'b'|'S'|'L'|'sh'|'si']&->
['a'|'b'|'c'|'d'|'n'|'p'|'q'|'t'|'v'] ->
[<set>|<*chars*>] ['b'|'g'|'k'|'m'|'n'|'r'|'t'|'w'|'y'] [<width>->
|<transparency>]
\end{verbatim}
This keyword is used to display the entities of a set. Entities already visible will be erased. The following types of entities are known:\\\\
Nodes n, Elements e, Faces f, Points p, Lines l, Surfaces s, Bodies b, Nurbs Surfaces S, Nurbs Lines L, Shapes sh and the shaded (illuminated) surfaces si\\\\The entities can be displayed in the following colors:\\\\
White w, Black k, Red r, Green g, Blue b, Yellow y, Magenta m, Neutral 'n' (metallic grey) and turquois t\\\\ To display the entities with attributes, use the type in combination with an attribute (second letter). If no set is specified, the entities of the given type of all sets are shown:\\\\plot e\\\\shows the elements of all sets in the available colors (except set 'all'). The command \\\\plot e *\\\\does the same. In general wildcards(*) are supported:\\\\plot e E*\\\\will display all elements of all sets staring with an 'E'.
To get a list of the visible sets and the used colors use ``\htmlref{prnt}{prnt} ve''.
Other examples are:\\\\plot la all\\\\will display all lines with their names. The attribute d works only for lines,\\\\plot ld all\\\\ will display all lines with their division and bias (see \htmlref{bia}{bia}). The division is given by the numbers (1-99) following the \verb_#_ sign and the bias by the leading numbers. If there is more than one number in front of the division, the number has to be divided by a factor of ten to get the bias (101\verb_#_30 means a bias of 10.1 and a div of 30). \\\\plot ln all\\\\shows potential node locations. The attribute p works only for lines. In this case the lines with its end-points are drawn:\\\\plot lp all\\\\This is useful to detect the begin and end of all lines. If end-points are deleted, the line is also deleted. Therefore special care with end-points is necessary. The key c combines the line parameters d, p, n:\\\\plot lc all\\\\The lines are drawn with their end-points, potential node positions and divisions.
Shaded surfaces\\\\plot si all\\\\ can only be displayed if the interiour was previously calculated, which is done with the command ``\htmlref{rep}{rep}'' or ``\htmlref{mesh}{mesh}''. The attribute t applies only to nodes and will display only the ones which have attached texts:\\\\plot nt all\\\\will display only the nodes which have attached texts out of the set 'all'. They are created with ''\htmlref{qadd}{qadd}'', ''\htmlref{qenq}{qenq}'' or ''\htmlref{qtxt}{qtxt}''. The attribute ``width'' determines the number of pixels used for the thickness of the entity (points, nodes, lines):\\\\plot l all 4\\\\will display all lines with a width of 4 pixels. This works also for 2D faces and beams.
The attribute n works for nodes only:\\\\plot nn set1\\\\will display the nodes in set set1 with their numerical values. The attribute v works for nodes, faces ane elements. This attribute is used to display results with colors representing their values:\\\\plot nv set1\\\\plot fv set1\\\\plot ev set1\\\\Actually this is what happens automatically if the user selects an ''\htmlref{Entity}{Entity}'' from ''\htmlref{Datasets}{Datasets}'' in the ''\htmlref{menu}{menu}''. The faces can be displayed in a transparent manner with the attribute b:\\\\plot fb set1 t 33\\\\will display the faces in turquois color with a transparency of 33\verb_%_.\\\\plot fvb set1 33\\\\will display the faces with their colored values with a transparency of 33\verb_%_. A default transparency is used if a number is not given.\\\\
The attribute q works only for elements. With this attribute, only elements which do not pass the element-quality check are displayed:\\\\
plot eq all\\\\ The threshold for the element-quality is defined with ''\htmlref{eqal}{eqal}''.\\\\
To plot additional entities, see \htmlref{plus}{plus}.
\subsection{\label{plus}plus}
\begin{verbatim}
'plus' ['n'|'e'|'f'|'p'|'l'|'s'|'b'|'S'|'L'|'sh'|'si']& ->
['a'|'b'|'d'|'n'|'p'|'q'|'t'|'v'] ->
[<set>] ['b'|'g'|'k'|'m'|'n'|'r'|'t'|'w'|'y'] [<width>->
|<transparency>]
\end{verbatim}
This keyword is used to display the entities of an additional set after a \htmlref{plot}{plot} command was used (see also \htmlref{minus}{minus}). Further details are explained in section \htmlref{plot}{plot}.
\subsection{\label{pnt}pnt}
\begin{verbatim}
'pnt' <name(char<9)>|'!' [<x> <y> <z>]|
[<line> <ratio> <times>]|
[<P1> <P2> <ratio> <times>]|
[<setname(containing nodes)>]
\end{verbatim}
This keyword is used to define or redefine a point. There are four possibilities to define a point. To define a point just with coordinates:\\\\
pnt p1 11 1.2 34\\\\or,\\\\
pnt \verb_!_ 11 1.2 34\\\\where the name is chosen automatically. It is also possible to create points on a line or in the direction from P1 to P2 by defining a spacing (ratio) and number-of-points:\\\\
pnt \verb_!_ L1 0.25 3\\\\or\\\\
pnt \verb_!_ P1 P2 0.25 3\\\\will create 3 new points at the positions 0.25, 0.5 and 0.75 times the length of the line or the distance from P1 to P2, and it is also possible to create points on the positions of existing nodes. The command\\\\
pnt \verb_!_ set\\\\will create new points on the positions of the nodes included in the specified set. Usually when points are defined interactive the command \htmlref{qpnt}{qpnt} is used.
\subsection{\label{prnt}prnt}
\begin{verbatim}
'prnt' ['se'|'sq' <RETURN|set|*chars*> ['range']]|
['n'|'e' <set|*chars*> 'range']|
['n'|'e'|'f'|'p'|'l'|'s'|'b'|'L'|'S'|'v' <entity>]|
['col']|
['amp' <RETURN|amplitude|*chars*>]|
['mat' <RETURN|material|*chars*>]|
['par' <RETURN|parameter>]|
['eq' <set>]|
['st' ['si']]|
['in']|
['ve']|
['usr']
\end{verbatim}
This keyword is used to print entity-definitions. The following entities are known:\\\\
Nodes n, Elements e, Faces f, Points p, Lines l, Surfaces s, Bodies b, Nurb
Lines L, Nurb Surfaces S, Values v, Sets se and Sequences sq\\\\To see all
known sets, type:\\\\prnt se\\\\Or type\\\\prnt sq\\\\to see all known
sequential sets (sequences: Sets which maintain the history of entity selection). Or type\\\\prnt ve\\\\to list all sets used to show the visible entities.
Wildcards (*) can be used to search for setnames of a certain expression. In this case all sets matching the expression will be
listed:\\\\prnt se N*\\\\lists all sets starting with 'N'. To see the contents
of a specific set, type\\\\prnt se setName\\\\In case the
``\htmlref{stack}{stack}'' was activated the value and the coordinates of
stored nodes are written to the stack. The content of the stack can be listed
with:\\\\prnt st\\\\The index and the value are written. The value with the
highest index is addressed next. The number of stack entries (the size) can be enquired (and written to the stack) with:\\\\prnt st si\\\\A model summary (info) is listed with:\\\\prnt in\\\\which will list the number of mesh- and geometric entities. In addition it lists the hidden entity 'edge' which are the free element edges. This number has to be zero in case of a closed surface triangulation which is required for tet-meshing.
To print the definition of a line, type:\\\\prnt l lineName\\\\An eventually assigned alias name for a given entity can be enquired with a leading question mark:\\\\prnt l ?lineName\\\\For elements and nodes is an additional parameter ``range'' availabe. In this case the range of node- or element-numbers will be displayed (max and min nr) and holes in the numbering are detected:\\\\prnt n setname range\\\\ If an ccx- or abaqus-input-file was read then it is also possible to print the amplitudes (*AMPLITUDE in ccx) or the material-propperties (*MATERIAL in ccx), wildcards (*) can be used:\\\\prnt amp amplitude-name\\\\prnt mat material-name\\\\
If an ccx result file was read then the user headers (meta data)\\\\prnt usr\\\\and parameters of each dataset can be listed and written to the stack with either\\\\prnt par\\\\to list all parameters of the active dataset or a single one like for example \\\\prnt par STEP\\\\can be listed and written to the stack (see \htmlref{stack}{stack}). The available colors are listed with\\\\prnt col\\\\See ``\htmlref{col}{col}'' on how to define or redefine colors.
The element quality is checked by using\\\\prnt eq setName\\\\The failed elements are stored in set ``-NJBY''. See ``\htmlref{eqal}{eqal}'' on how to set the criterions.
Several other but not all parameters of this command writes to the ''\htmlref{stack}{stack}''.
\subsection{\label{proj}proj}
\begin{verbatim}
'proj' <set> <target-set>|<shpe> ->
['tra' <dx> <dy> <dz> <offset> [<tol>]]|
['rot' <p1> <p2> <offset> [<tol>]]|
['rot' 'x'|'y'|'z' <offset> [<tol>]]|
['rad' <p1> <p2> <offset> [<tol>]]|
['rad' 'x'|'y'|'z' <offset> [<tol>]]|
['nor' <offset> [<tol>] ]
\end{verbatim}
This keyword is used to project points (with all related geometry) or nodes onto a set containing nurbs, shapes, surfaces or element-faces. Alternatively the name of a shape can be specified as the target.
Several transformations are available. For example tra will move points in the direction of the vector dx, dy, dz onto elements or surfaces included in set2. Alternatively an offset could be specified as well,\\\\
proj set1 set2 tra 0. 0.5 0.7 \\\\
rot will move points around the axis defined by the points p1 and p2 or around the x,y,z axis onto elements or surfaces included in set2,\\\\
proj set1 set2 rot p0 px \\\\
rad will move points radial to the axis defined by the points p1 and p2 or radial to the x-, y- or z-axis onto elements or surfaces included in set2. Alternatively a set of lines could be used instead of surfaces as the target-set. Then the geometry will be moved onto an imaginary rotational surface defined by these lines,\\\\
proj set1 set2 rad x \\\\
nor will move points in a direction normal to the target surface onto surfaces included in set2. An offset might be specified:\\\\
proj set1 set2 nor 0.7 \\\\
If a shape was given instead of a target-set then an offset can not be used:\\\\
proj set1 ShapeName nor \\\\
If a point does not hit any surface from the target-set, then it will not be moved. A tolerance can be specified for the projections. No projection takes place if the target surface is farther away as this value defines:\\\\
proj set1 set2 nor 0.7 10. \\\\
Check for set '-NOPRJ'. If it exists it will store the failed nodes or points.
\subsection{\label{qadd}qadd}
\begin{verbatim}
'qadd' <set|seq> ['t'<value>] RETURN ->
<'w'|'a'|'i'|'r'|'n'|'e'|'f'|'p'|'l'| ->
's'|'b'|'S'|'L'|'h'|'m'|'q'|'s'|'t'|'u'>
\end{verbatim}
This keyword is used to add entities to a set. See also \htmlref{seta}{seta}. But a set will not keep the sequence in which the entities were selected. Use \htmlref{seqa}{seqa} or the command ``\htmlref{qseq}{qseq}'' if the order of the selected entities has to be kept.
After an entitiy was selected you get certain informations about the entity. If the node which belongs to the maximum or minimum value in a certain area has to be stored in a set you might use the same key-strokes as described for the command ''\htmlref{qenq}{qenq}''.
To catch more than one entity with one stroke, type ''a'' (all) at first. Then create a rectangular picking area by pressing two times the ''r'' key. Both strokes define opposite corners of the selection-rectangle. To catch only the entity which is closest to the user type ''i'' before.
Then move the mouse pointer over the entity(s) and press one of the following keys, for Nodes n, Elements e, Faces f, Points p, Lines l, Surfaces s, Bodies b, Nurb Surfaces S, node attached texts t and for Nurb Lines L.
If faces f of a certain area have to be selected, the user might specify a tolerance-value which restricts the deviation of the normal vectors of faces from the selected face. As long as the deviation is below the specified value (in degrees) all adjacent faces will be selected in a loop:\\\\ qadd areaset t25\\\\
Press ''q'' to quit the command.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qali}qali}
\begin{verbatim}
'qali' RETURN 'w'|'p'|'n'|'q'
\end{verbatim}
This keyword is used to align a plane defined by three points or nodes with the screen (working plane). This is useful if a point or a node should be moved manually along a defined plane (see \htmlref{qpnt}{qpnt}). To define the plane move the mouse pointer over the first entity and press ''n'' if its a node or a ''p'' if its a point. Then define the next two entities in the same way. Press ''q'' to quit the command.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qbia}qbia}
\begin{verbatim}
'qbia' RETURN 'w'|'a'|'i'|'c'|'1'-'9'|' 10'-' 99'|'q'
\end{verbatim}
This keyword is used to change the bias of a line. The bias defines a coarsening or refinement of the mesh along a line. The number defines the ratio of the length of the first element to the length of the last element at a given line. It works by pressing a number between 1 and 9 when the mouse pointer is at the position of a line. To define numbers between 10 and 99 press the space bar when the mouse pointer is at the position of a line and then the number (two times the space bar for 100 to 999). To select more than one line with one stroke, type ''a'' before and create a rectangular picking area by pressing two times the ''r'' key. Both strokes define opposite corners of the rectangle. To select only one line type ''i'' before. Press ''c'' to change the direction of the bias. Press ''q'' to quit the command (see alse \htmlref{bia}{bia}). Consider to split a line if you need a bias in both direction (see \htmlref{qspl}{qspl}).
\subsection{\label{qbod}qbod}
\begin{verbatim}
'qbod' <name>(optional) RETURN 'w'|'b'|'a'|'i'|'r'|'s'|'g'|
'q'|'u'
\end{verbatim}
This keyword is used to create a body (see also \htmlref{gbod}{gbod} and \htmlref{body}{body}). The user might specify a name in the command-line or by picking an existing body with the key ''b''. Otherwise the program chooses an unused name. It is possible to create the body out of five to seven surfaces which are needed to define a body or just of two opposite surfaces, but then these two surfaces must be connected on their corner points by lines. To be more precise only single lines or existing combined lines (\htmlref{lcmb}{lcmb}) will be detected. If a combined line would be necessary but does not exist then the user should define a surface using this lines which will create the necessary combined-line. Other missed surfaces will be created automatically. To catch more than one surface with one stroke, type ''a'' before and create a rectangular picking area by pressing two times the ''r'' key. Both strokes define opposite corners of the rectangle. Type ''s'' to select surfaces. To catch surfaces individually type ''i'' before (its also the default). After selecting exactly six or two opposite surfaces press ''g'' to generate the body. Press ''q'' to quit the command or ''u'' to undo the last action.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qcnt}qcnt}
\begin{verbatim}
'qcnt' RETURN 'w'|'n'|'p'
\end{verbatim}
This keyword is used to define a new center-point or -node by pressing ''n'' or ''p'' when the mouse pointer is at the position of a node or a point.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qcut}qcut}
\begin{verbatim}
'qcut' RETURN 'w'|'q'|'n'|'p'|'u'|'v'
\end{verbatim}
This keyword is used to define a cutting plane trough elements to visualize internal results (see figure \ref{qcutp}). The plane is defined either by picking three nodes (select with key ``n'') or points (select with key ``p''), or, in case a dataset-entity of a vector was already selected, by just one node (select with key ``v''). The cutting plane is then determined by the direction of the vector (displacements, worstPS ..). Be aware of the key ``u'' (undo) to return to the un-cutted structure. See also ''\htmlref{cut}{cut}'' for the command-line function.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\begin{figure}[h]
\epsfig{file=qcut.eps,width=12cm}
\caption{\label{qcutp}qcut: A section through a model defined by three nodes together with a transparent view of the outer skin}
\end{figure}
\subsection{\label{qdel}qdel}
\begin{verbatim}
'qdel' RETURN 'w'|'a'|'i'|'r'|'p'|'l'|'s'|'b'|'S'|'L'|'h'|'q'
\end{verbatim}
This keyword is used to delete entities (see also \htmlref{del}{del}). Higher entities (depending ones) will be deleted to. To delete more than one entity with one stroke, type ''a'' before and create a rectangular picking area by pressing two times the ''r'' key. Both strokes define opposite corners of the rectangle. To delete only one entity type ''i'' before. Press ''q'' to quit the command.
Surfaces will not be deleted when the user deletes lines which define complete holes in existing surfaces. But it is necessary that all lines of a certain hole are deleted at once. If only a partial hole is deleted, the surface is deleted as well. It is proposed to use \htmlref{zap}{zap} to delete the affected lines.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qdis}qdis}
\begin{verbatim}
'qdis' RETURN 'c'|'f'|'g'|'m'|'n'|'p'|'q'|'s'|'w'
\end{verbatim}
This keyword is used to measure distances between nodes or points. Move the mouse pointer over one entity and press the following key, for a node 'n', for a point 'p' or for a center point 'c' (has to be the second selection). If the key 'c' was pressed then the distance between the two nodes or points are given in cylindrical coordinates. Here lcir is the length of the arc, da the angle, dr is r2-r1. If no center point was chosen then the distance and its xyz components are given in the Cartesian system. But in addition the cylindrical distances around the origin and around the xyz-axis are also given.
In addition the normal distance of a node or point to a plane defined by three nodes or points can be measured. The point or node in question is selected with key 'n' or 'p' and the nodes or points which define the plane are selected with 'm' (mesh nodes) or 'g' (geometry points). Instead of defining a plane the user may select a single surface with 's' or a single element face with 'f' (will be extended by adjacent faces). This selection has to take place before the node or point is selected.
Press ''q'' to quit the command.
\begin{itemize}
\item dist: global distance
\item dx, dy,dz: distance in the three Cartesian directions
\item da: global angle
\item dax, day, daz: angle around x, y, z
\item dr: global radius difference
\item drx, dry, drz: radius difference around x, y, z
\end{itemize}
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qdiv}qdiv}
\begin{verbatim}
'qdiv' RETURN 'w'|'a'|'i'|'1'-'9'|' 10'-' 99'|'q'
\end{verbatim}
This keyword is used to change the division of a line by pressing a number between 1 and 9 when the mouse pointer is at the position of a line (see also \htmlref{div}{div}). To define numbers between 10 and 99 press the space bar when the mouse pointer is at the position of a line and then the number (two times the space bar for 100 to 999). To select more than one line with one stroke, type ''a'' before and create a rectangular picking area by pressing two times the ''r'' key. Both strokes define opposite corners of the rectangle. To select only one line type ''i'' before. Press ''q'' to quit the command. General rules are described in ''\htmlref{div}{div}''.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qenq}qenq}
\begin{verbatim}
'qenq' RETURN 'w'|'a'|'i'|'r'|'n'|'e'|'f'|'p'|'l'|'s'|->
'b'|'S'|'L'|'h'|'m'|'u'|'v'|'t'|'q'
\end{verbatim}
This keyword is used to gain information about entities. It is especially useful to get the values on particular nodes.
If the maximum or minimum value in a certain area has to be searched type first ``m'' to go in the max/min mode and create a rectangular picking area by pressing two times the ''r'' key. Both strokes define opposite corners of the selection-rectangle. Then the key ``h'' (high) to search the node with the maximum value. The minimum is searched with ``l'' (low). The search-result is then shown in the konsole and also attached to the node. With the ``u'' key the last search result can be deleted (``undo''). The 't'-key changes into the ``qtxt''-mode. The ''\htmlref{qtxt}{qtxt}'' functionality is now available which allows to manipulate the node-attached-string and its position on the screen. Use ''\htmlref{qadd}{qadd}'' instead of ``qenq'' if you need to save the node in a set for further use.
To catch more than one entity with one stroke, type ''a'' (all) before and create a rectangular picking area by pressing two times the ''r'' key. Both strokes define opposite corners of the rectangle. To catch only the entity which is closest to the user type ''i'' before.
Then move the mouse pointer over the entity(s) and press one of the following keys, for Nodes n, Elements e, Faces f, Points p, Lines l, Surfaces s, Bodies b, Nurb Surfaces S and for Nurb Lines L.
The position of nodes or points are given in Cartesian and cylindrical coordinates (see figure \ref{qenqp}, axyz are the 3 angles around x,y and z, rxyz are the 3 radii around x, y and z). In a second row the sets to which the picked entity belongs are listed.
Press ''q'' to quit the command.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\begin{figure}[h]
\epsfig{file=coords.eps,width=12cm}
\caption{\label{qenqp}qenq: Definition of the cylindrical system}
\end{figure}
\subsection{\label{qfil}qfil}
\begin{verbatim}
'qfil' <radius> RETURN 'w'|'l'|'q'
\end{verbatim}
The command creates a fillet line (a radius) between two lines who intersect. After the command-name the value for the fillet-radius has to be specified. Then for each pair of selected lines a fillet of this value will be created. Select lines with the ''l''-key. Press ''q'' to quit the command. Currently it works only for straight lines. A curved line can be split and the part which should be used for the fillet can be transformed to a straight form with the ''\htmlref{qlin}{qlin}'' command (''s'' and ''x'' key-strokes). Figure \ref{qfilp} shows on the right side the initial situation and on the left side the created fillet. The command has also shifted point P002 to the left. Always the end-point of the first selected line closest to the intersection is moved. The second line gets a new end-point.
\begin{figure}[h]
\epsfig{file=qfil.eps,width=12cm}
\caption{\label{qfilp}qfil: Based on two intersecting lines a fillet is created }
\end{figure}
\subsection{\label{qflp}qflp}
\begin{verbatim}
'qflp' RETURN 'w'|'e'|'s'|'a'|'i'|'q'
\end{verbatim}
This keyword is used to invert the outer- and inner side (the orientation) of shell-elements and surfaces. The orientation of shell-elements or surfaces can be seen by the interior color. The outer face reflects light, if the face is dark-grey it is the back-side. If ''\htmlref{Toggle Culling Back/Front}{Toggle Culling Back/Front}'' was selected before then both sides are illuminated. To flip the orientation of a surface and all related shell-elements select either a shell-element with the ''e'' key or if the illuminated surfaces are displayed (see ``\htmlref{rep}{rep}'' how to do that) select the surface with the ''s'' key. To see the effect on the elements immediatelly they must have been displayed with the ''\htmlref{plot}{plot}'' command. If only elements are in the database flip them with the ''e'' key. The ''a'' key has a different meaning than usually. If pressed before a selection then a so called auto mode is activated. It makes sense for volumes were a vector pointing in or out can be determined for all surfaces. In this case all related surfaces (and embedded elements) are oriented in the same way as the selected one. It works only in situations were only two surfaces share a common edge. This is the case for volumes without inner surfaces or a 2D model. In case of a volume all surface normals will point either inwards or outwards, depending on the orientation of the selected surface. Press ''q'' to quit the command.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qint}qint}
\begin{verbatim}
'qint' RETURN 'w'|'l'|'q'
\end{verbatim}
This keyword is used to extend two lines to their intersecting location. The end-points of the two lines are moved to the intersecting location but they are not merged. Use the ''\htmlref{merg}{merg}'' command to merge duplicate points. Only straight lines are supported. Select lines with the ''l''-key. Press ''q'' to quit the command.
\subsection{\label{qlin}qlin}
\begin{verbatim}
'qlin' <name>(optional) RETURN 'w'|'b'|'c'|'e'|'g'|'l'|'m'|'p'|->
'q'|'s'|'t'|'u'|'x'
\end{verbatim}
This keyword is used to create a sequence of lines (or just one, see also \htmlref{line}{line}). The user might specify a name in the command-line or by picking an existing line with the key ''l''. In this case an existing line might be redefined without destroying related geometries.
To start a sequence of lines move the mouse pointer over a point and press the key ''b'' (begin).
To define just a straight line go to the end point and press ''g'' (generate). This point is also the starting point for the next line. So no ''b'' is necessary for the next line.
If the line is a sequential line (spline) then the points of the sequence must be defined with the key ''t'' in the correct order, but the last point must be selected with the key ''g''.
If the line is an arc then the center point must be selected with the ''c'' key or one point on the line between the end-points must be selected with the ''m'' key, but the last point must be selected with the key ''g''.
In case you need to split a line during the process, you can do that by pressing the ''s'' key.
When you want to modify the length then pick an existing line with the key ''l'' and then the endpoint you want to move with the key ''p''. The displacement is requested and the point is moved in the direction of the line by the specified displacement.
The ''x'' key will transform the line into a straight line.
One quite useful function for cad-based surfaces is triggered by the ''e''-key (exchange). This allows to modify an existing surface (\htmlref{gsur}{gsur}). With that command a line or a line sequence in a \htmlref{lcmb}{lcmb} can be exchanged by the previous selected (``l'' key) or generated line. For example one edge of an already existing surface uses a lcmb but the user wants to replace it by a spline (line) then the user defines or selects the new spline and then moves the mouse in an area were one of the old lines (the new one might be present as well) is located and presses the ''e'' key. The definition of the lcmb will be changed without destroying the surface-definition. Alternatively the existing lines can be combined with the ''\htmlref{qseq}{qseq}'' command into a single spline. This command will delete the original lines.
Press ''q'' to quit the command or ''u'' to delete the last created line.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qmov}qmov}
\begin{verbatim}
'qmov' <set> RETURN 'w'|'n'|'p'|'m'|'u'
\end{verbatim}
This keyword is used to move a set of entities (see also \htmlref{move}{move}). To move a set move the mouse pointer to the desired reference node and press ''n'' or a reference point with ``p''. Then go to the desired position, either a second node, a point or a window location and press either ``n'' (node), ``p'' (point) or ``m'' (move). Press ''q'' to quit the command or ''u'' to undo the last action.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qmsh}qmsh}
\begin{verbatim}
'qmsh' RETURN 'i'|'a'|'e'|'f'|'v'|'n'|'l'|'c'|'s'|'m'|'d'|'h'|->
't'|'x'|'q'
\end{verbatim}
A very useful command to optimize surface meshes as a basis for tet-meshes. Line divisions can be changed by selecting one or more lines with the ``l'' key and then a number as with ``\htmlref{qdiv}{qdiv}''. The mesh will be updated automatically.
Based on identified lines ``l'' or surfaces ``s'' meshes can be coarsened 't', refined 'h', deleted ``d'' and generated ``m''. Surfaces can be combined ``c'' to get rid of very small ones and splitted 'b'.\\\\
To change the mesh density along a line:
\begin{itemize}
\item Identify a line or several lines with key ``l''. The related surfaces are selected.
\item The line division is changed by pressing the key with the desired number. This function of qmsh works like the ``\htmlref{qdiv}{qdiv}'' command. The related surfaces are automatically re-meshed.
\item The line bias is changed if first the key ``b'' is pressed and then the key with the desired number or the key ``c'' to inverse the direction. This function of qmsh works like the ``\htmlref{qbia}{qbia}'' command. The related surfaces are automatically re-meshed.
\end{itemize}
Example for a surface combination:
\begin{itemize}
\item Identify a line with key ``l''. The related surfaces are selected.
\item Or identify two adjacent surfaces with key ``s'' or by selecting two single elements ``e'' one for each surface. They must use the same lines at the junction.
\item To combine the two selected surfaces press key ``c'' (Attention: The surface with the longer perimeter must reference a shape (a nurbs)). In the moment an automatic adaption of the embedded shape or nurbs is not done. The shape of the bigger surface is just used for the combined surface. It might be necessary to use a mapped mesh for the new surface if the embedded shape is too small ( use tr6 instead of tr6u, switching is done with key ``x'').
\end{itemize}
A surface can be splitted by a crossing line:
\begin{itemize}
\item First create the desired splitting line, for example with ``\htmlref{qlin}{qlin}''.
\item Type ``qmsh'' and identify the line with key ``l''.
\item Identify the surface with key ``s'' or by selecting a single element ``e''.
\item Press key ``b'' to break (split) the surface in two. The previously selected line will be converted to a spline with as much control points as the line division. Then the line-points are projeted to the surface.
\end{itemize}
To change the mesh density in a selected surface:
\begin{itemize}
\item Select one or more surfaces with key ``s'' or by selecting lines ``l'' or by selecting a single element ``e''.
\item Press ``h'' (higher) to increase the mesh density or ``t'' (thinner) to decrease.
\item
\end{itemize}
To change the element type from unstructured to structured or vice versa:
\begin{itemize}
\item Select one surfaces with key ``x''. Be aware that only certain line division combinations will work for structured meshes. Initially the element type tr6 will be used if no element type was assigned to the selected surface.
\end{itemize}
This keyword can be used to manually define elements. The key ``n'' selects nodes and the key ``f'' or ``v'' generate a surface or volume element based on the node-selection.
To catch more than one entity with one stroke, type ''a'' (all) at first. Then create a rectangular picking area by pressing two times the ''r'' key. Both strokes define opposite corners of the selection-rectangle. To catch only the entity which is closest to the user type ''i'' before.
\subsection{\label{qnor}qnor}
\begin{verbatim}
'qnor' RETURN 'w'|'p'
\end{verbatim}
A new line normal to a plane defined by three points and a length is created. It starts at the last point.
\subsection{\label{qpnt}qpnt}
\begin{verbatim}
'qpnt' <name>(optional)RETURN 'w'|'p'|'g'|'m'|'n'|'s'|'S'|'u'
\end{verbatim}
This keyword is used to create or move points (see also \htmlref{pnt}{pnt}). The user might specify a name in the command-line if a certain name should be used. To create a point move the mouse pointer to the desired location and press the key ''g'' (generate) or over an existing node and press ''n'' (uses then the node-coordinates). After a point was selected with ''p'' it can be moved in different ways: Either in the screen-plane, for this go to the desired position and press ''m'' (move, see \htmlref{qali}{qali} or the section \htmlref{Orientation}{Orientation} how to rotate the model into a certain position). Or the point can be moved to the position of a second point, for this go to the second point which coordinates should be used and press ''p'' again. If the coordinates of a node should be used press ''n'' instead. Also a normal projection to a nurbs related surface (from cad-systems) is feasible by choosing the target-surface with the ''s'' key or a NURBS-surface with the ''S'' key either before or after the point was marked. Press ''q'' to quit the command or ''u'' to undo the last action.
If you picked the wrong point (the one which should be moved), just pick the same again and pick then the correct one.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qnod}qnod}
\begin{verbatim}
'qnod' RETURN 'w'|'p'|'m'|'u'
\end{verbatim}
This keyword is used to move nodes (see also \htmlref{node}{node}). To move a node move the mouse pointer to the desired node and press ''p'' (pick) then go to the desired position and press ''m'' (move). See \htmlref{qali}{qali} or the section \htmlref{Orientation}{Orientation} how to rotate the model into a certain position. Press ''q'' to quit the command or ''u'' to undo the last action.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qrem}qrem}
\begin{verbatim}
'qrem' <set> RETURN 'w'|'a'|'i'|'r'|'n'|'e'|'f'|'p'|'l'|'s'|->
'b'|'q'
\end{verbatim}
This keyword is used to erase entities from a set (see also \htmlref{setr}{setr}). To remove entities move the mouse pointer over the entity and press the following keys, for Nodes n, Elements e, Faces f, Points p, Lines l, Surfaces s, Bodies b, Nurb Surfaces S and for Nurb Lines L. To catch more than one entity with one stroke type ''a'' before and create a rectangular picking area by pressing two times the ''r'' key. Both strokes define opposite corners of the rectangle. To catch only one entity type ''i'' before. Press ''q'' to quit the command.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qseq}qseq}
\begin{verbatim}
'qseq' [[<set>] RETURN 'p']|[ RETURN [<nr>|'l'|'g']]
\end{verbatim}
This keyword is used to define a sequence of nodes or points or to convert one or more lines into a sequential line (spline). A sequence is nothing else than a set which keeps the selection-order of the entities:\\\\qseq nodeset\\\\will store all selected nodes (selected with the 'n' key) in the order in which they were selected. This set might be used for a subsequent ''\htmlref{graph}{graph}'' command. Point sequences are used to define splines. Sequences can be shown with the ``\htmlref{prnt}{prnt} sq'' command. Node sequences can be written to a file and read again with the commands ``send seqname fbd'' and ``read seqname.fbd''.
To change one or more lines into a sequential line type\\\\qseq\\\\without a setname. Then either one existing line has to be selected with a numerical keystroke (or the space-bar followed by two numbers) or several lines with 'l' keystrokes. In both cases the selection has to be finished by a 'g' keystroke. New points will be created on the selected lines which in turn are used to redefine the selected lines as a sequence line. If just one line was selected then as much points are generated as defined with the nummerical keystroke. If more than one line was selected with the 'l' key then the combined line divisions minus one define the number of new points. This command will replace and delete the original lines.
\subsection{\label{qshp}qshp}
\begin{verbatim}
'qshp' RETURN 'w'|'n'|'p'|'g'|'h'|'s'|'S'|'c'|'q'
\end{verbatim}
This keyword is used to define a plane shape. A plane shape needs 3 points (or nodes, points at their location will be generated and used) for its definition. The points are selected with the 'p' (nodes 'n') key. After the points are selected it will be generated by a 'g' keystroke. The shape can be assigned to a surface by selecting first either a shape 'h' or a nurbs 'S' and then the surface with the 's' key. The shape will then define the interiour of this surface. The selected shape or nurbs stay selected until cleared with 'c'. See also ``\htmlref{shpe}{shpe}'' for the keyboard controlled definition of shapes.
It can also be used for projection purposes (see ''\htmlref{proj}{proj}'') or splitting (see ''\htmlref{split}{split}'').
\subsection{\label{qspl}qspl}
\begin{verbatim}
'qspl' RETURN 'w'|'s'|'q'
\end{verbatim}
This keyword is used to split one or more lines at a certain position. A point is created at the splitting position, the original line is deleted and two new lines will appear instead. All lines running through the selected location are splitted at once and the newly created splitting points will be merged to one if they are closer to each other than defined by ''\htmlref{gtol}{gtol}''. To split a line move the mouse pointer over the line and press the ''s'' key. Press ''q'' to quit the command. There is no undo but lines can be combined with the ''\htmlref{qseq}{qseq}'' command. Splitting of lines can also be done with ''\htmlref{qlin}{qlin}''. Surfaces and lines can be splitted with ''\htmlref{qmsh}{qmsh}'' and ''\htmlref{split}{split}''.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qsur}qsur}
\begin{verbatim}
'qsur' <name>(optional) RETURN
'w'|'a'|'b'|'l'|'i'|'r'|'1'-'9'|'g'|'q'|'u'|'s'|'S'|'h'|'c'
\end{verbatim}
This keyword is used to create or change a surface (see also \htmlref{gsur}{gsur}). The user might specify a name in the command-line or by picking an existing surface with the ''s'' key.
If the surface is supposed to be meshed with unstructured triangles (element type tr3u or tr6u) it is sufficient to select all lines with the ``l'' key (lowercase ``L''). This can be done either in the ``all''-mode (press ``a'') or ``individual''-mode (press ``i'') which is default. Then generate the surface by pressing the ''g'' key. Such surfaces allow holes in it. If the surface is not plane it will need to reference an embedded NURBS surface (see ''\htmlref{nurs}{nurs}'') or a shape (see ''\htmlref{shpe}{shpe}''). Despite it is quite an exception it should be noted here that this kind of mesh might be extruded in the 3rd dimension by using the ''\htmlref{swep}{swep}'' command to generate penta elements for the cfd solver.
For the definition of a regular meshable surface three to five edges must be
defined. To create a surface move the mouse pointer over the first line of the
first edge and select it with the ''1'' key (number ``one''). If more than one
line is necessary to define the first edge select the following ones one after
the other with the ''1'' key. Each marked line is listed in the mother
konsole. If all lines of the first edge are selected select the lines of the
second edge by pressing the ''2'' key, then the third and eventually the
fourth and fifth. The last selected line must match the first. All lines
defining an edge will create a combined line (see \htmlref{lcmb}{lcmb}) and
this combined line will show up in the definition of the surface. Then
generate the surface by pressing the ''g'' key and you might continue with the
next surface. By default the interior of the surface is defined according to
Coons \cite{Coons} which is a blended function. But it can also follow an
embedded NURBS-surface or a shape. To relate a surface to an existing NURBS
surface select another surface which already uses the desired NURBS with the
''S'' key (uppercase) or to reference the shape with the ``h'' key. Then
select the target-surface with ``s''. The target surface is converted to a
NURBS surface which is necessary to be meshable with unstructured triangles
(tr3u, tr6u) and to be used to generate tet elements. The selected shape or nurbs will stay selected until cleared with 'c'. In case the NURBS or shape in question is not related to a surface it is necessary to use ''\htmlref{qshp}{qshp}'' to select first the NURBS or shape and then the surface which should reference them.
An existing surface might be completly redefined without destroying the definition of related bodies or other geometries. After selecting a surface with the ``s'' key the referenced lines might be replaced by selecting new ones. The previous selected lines are not longer referenced.
Replace assignments by the blended function with the ''b'' key. To quit the command use the ''q'' key or use ''u'' to undo the last action.
It is also possible to measure distances between two pixels on the screen. Just press the key ''w'' on the positions of the two pixels. The distance is calculated in the scale of the displayed geometry.
\subsection{\label{qtxt}qtxt}
\begin{verbatim}
'qtxt' RETURN 'g'|'a'|'i'|'b'|'p'|'m'|'n'|'v'|'f'|'d'|'s'|'q'
\end{verbatim}
This keyword is used to move node-attached texts (showing node-number and value, see figure \ref{qtxtp}) at certain positions in the drawing area or to manipulate them otherwhise. They are created with the key ``g'' while the mouse-pointer is over the node to which it should be attached. Attention: They are only visible after the command ''\htmlref{plus}{plus} nt all'' was used (but they are immediatelly visible when the the commands ''\htmlref{qenq}{qenq}'' or ''\htmlref{qadd}{qadd}'' were used instead of ``qtxt''). To move a text pick it at the lower-left corner with the key 'p' and place it with the key 'm' in the new location. To move it back to its node use 'b'. Delete them with 'd'. The node-nr and the value in the text can be switched on and off with the 'n' and 'v' key. The 'f' key will toggle the format of the value between ``int'', ``float'' and ``exponent''. See the command ''\htmlref{font}{font}'' on how to change the font-size. See ``\htmlref{txt}{txt}'' for the batch mode command. Texts attached with ``txt'' can be switched on and off with the 't' key and placed at a leading or trailing position with the 's' key.
To catch more than one entity with one stroke, type 'a' (all) before and create a rectangular picking area by pressing two times the 'r' key. Both strokes define opposite corners of the rectangle. To catch only the entity which is closest to the user type 'i' before.
\begin{figure}[h]
\epsfig{file=qtxt.eps,width=12cm}
\caption{\label{qtxtp}qtxt: Node attached texts at two locations, one with node-nr and value in exp-form and one just with his value in floating point form. The font with gives biggest numbers was used.}
\end{figure}
\subsection{\label{quit}quit}
\begin{verbatim}
'quit'
\end{verbatim}
This keyword is used to terminate the program without save.
\subsection{\label{read}read}
\begin{verbatim}
'read' [<geo-file> ['add']]|
[<ccx-file> 'inp' ['add'|'ext'|'nom'|'new']]|
[<openFoam-file> 'foam' ['add'|'ext'|'nom']]|
[<result-file(frd)> ['add'|'ext'|'nom']|[<setname>]]|
[<vtk-file> 'vtk' ['add'|'ext'|'nom']]|
[<stl-file> ['add'|'ext'|'nom']]|
[<list-file> '-n'|'-e'<column>]|
[<text-file> 'stack']|
[<edge-file> 'edg']|
[<netgen-file> 'ng' ['add'|'ext'|'nom'|'ndsb']]|
[<pixel-file> [<zoom>]|[<x_zoom> <y_zoom>]]
\end{verbatim}
This keyword is used to read files or commands from a file. Most commands can be read from a file but not all of them. In general all basic commands to create geometry are understood and up to now this is the only way to read pre defined geometry during run-time. To read commands from a file like \htmlref{pnt}{pnt}, \htmlref{line}{line}, \htmlref{node}{node}, or \htmlref{seta}{seta} and so on, type\\\\read geo-file\\\\this will eventually replace entities if their names were already in use. To prevent this, type\\\\read geo-file add\\\\this forces the program to change the names which are already in use to unused ones. Therefore no existing geometry will be overwritten. It is advisable to name command files which contain more than the basic geometry commands with a different name extention as '.fbd' since a subsequent 'save' would overwrite the command file with a file which contains just the basic geometry commands (it is a common practice to use '.fbl' instead).
If an ccx-input-file with loads, boundary-conditions and sets is read with a command like\\\\read ccx-file inp\\\\then the loads and boundary-conditions are stored in automatically created sets which start with a leading '+'. For example the ccx command '*BOUNDARY' will trigger the creation of the set '+bou'. The ccx sets are stored in cgx sets of the same name. The load-values are stored in Datasets.
The option ``nom'' (no-mesh) can be used to speed up the reading of frd or inp formatted files like:\\\\read ccx-file inp nom\\\\and/or\\\\read result-file nom\\\\This option suppresses the reading of nodes and elements and makes sense if the mesh exists and only the set-definitions and loads or results should be read.
If the parameter ''add'' is used,\\\\read ccx-file inp add\\\\ then existing node- or element-numbers are not overwritten and the program choses new numbers. If the ccx-input-file ends with ``.inp'' the parameter ``inp'' might be omitted.
An openFoam file \cite{OpenFOAM} can be read in a similar way\\\\read CaseDirName foam\\\\as an ccx input file. Sets will be created if defined in the openFoam file. Results can be used for mapping purposes. For further details see ``\htmlref{How to map loads}{How to map loads}'' in the appendix.
The user might read a result-file in frd format during runtime. If a mesh exists and should not be overwritten just add the parameter ``add''\\\\read result-file add\\\\this forces the program to change the numbers which are already in use to unused ones. Existing datasets will be extended by the new node-numbers and their data. The option ``ext'' \\\\read result-file ext\\\\will also extend the existing datasets but in this case the nodes and elements are updated (modified). If no parameter follows then existing nodes and elements are updated and the new datasets will be appended to existing ones. Since the dependency checks are time consuming the user might scip them by using the 'ne' parameter. Then the existing mesh is deleted before the new one is read:\\\\read result-file new\\\\
It is also possible to read files written in the result format (.frd) during runtime only to define sets of nodes or elements without changing the definitions of them. The command\\\\read result-file setname\\\\will create a set of the name setname and all nodes and elements listed in the file mesh.frd will be added to that set. But this will NOT create or modify the nodes and elements. All nodes and elements must exist and will not be changed.
In case a file written in an un-common format should be evaluated the user may read the file into the cgx stack memory:\\\\read textfile stack\\\\ Then the user may loop over the stack using ``\htmlref{while}{while}'' and ``\htmlref{valu}{valu}'' to read and evaluate each record. Extracted data can be stored in new datasets (see ``\htmlref{ds}{ds}'' and ``\htmlref{node}{node}''). An example can be found in ``\htmlref{User File Parser}{User File Parser}''.
A mesh in vtk format can be read. Still experimental, only some element types are supported\\\\read file.vtk vtk\\\\.
An ascii or binary stl file can be read with \\\\read file.stl\\\\ The file stores just triangles which will be interpreted as unconnected triangle elements. The nodes of this mesh can be merged (``\htmlref{merg}{merg}'') and the resulting connected elements can be used as a basis for a tet mesh (see ``\htmlref{mesh}{mesh}'' and ``\htmlref{mids}{mids}'').
If a file with the numbers of nodes or elements is not available in the result format (.frd) then a so called list-file could be read instead. In such a file either numbers of nodes or elements can be defined. The numbers found in a specified column is interpreted as a node- or element-number. If ''-n'' is specified the numbers are interpreted as nodes and if ''-e'' is specified the numbers are interpreted as elements. For example\\\\read list-file -e3\\\\will define a set storing names of elements from the third column of file list-file.txt. The created set-name is always the name of the file.\\\\
\textbf{NETGEN Import}\\\\
In case NETGEN is used for meshing then the edges which are generated by NETGEN can be included for modifications;\\\\read edge-file edg\\\\will create beam elements based on the defined edges. When the modifications are done, the beam elements can be exported in the NETGEN-edge format with the ''send setname stl'' command and used for meshing in netgen (see also ''\htmlref{How to deal with CAD-geometry}{How to deal with CAD-geometry}''). The netgen mesh can be imported with
\begin{verbatim}
read netgen-file ng
\end{verbatim}
If the NETGEN (.vol) file contains solid elements, all shells and beams are only used to define surface sets of nodes and faces (+set\verb_<_nr\verb_>_). The shell elements and beams are deleted by default. If you want to be more selective about the elements imported from netgen, you use the keyword ndsb (NoDeleteShellsAndBeams).
\begin{verbatim}
read myfile.vol ng ndsb
\end{verbatim}
This keyword forces all the netgen elements to be imported. Be aware that the imported NETGEN element types (1D, 2D and 3D elements) are distributed in various sets for further operations (as well as being contained in set 'all'). For instance the set '+typ11' will contain all elements of type 11 (2-node beams). Please see ''\htmlref{Element Types}{Element Types}'' for a key to the element numbers.\\\\
If a pixel-file in xwd-format is available it can be included as a background-picture. The user can then create geometry based on this picture:\\\\read pixelfile 2 4\\\\here the picture will be scaled by a factor of ``2'' in x- and ``4'' in y-direction. Delete it with ''\htmlref{del}{del} pic''. The picture can not be modified in cgx. Only scaling during reading (with either a global factor or separate scaling in x- and y-direction) is supported. Other modifications have to be made with external software.
The command parameters are writen to the ''\htmlref{stack}{stack}''.
\subsection{\label{rep}rep}
\begin{verbatim}
'rep' <set>
\end{verbatim}
This keyword is used to refresh entities of a certain set. This is done automatically but with one exception: The rendering of the interior definition of surfaces must be triggered manually with this command. The rendered surfaces can be displayed with ''\htmlref{plot}{plot}'' or ''\htmlref{plus}{plus}'' using the type ''si''.
\subsection{\label{rnam}rnam}
\begin{verbatim}
'rnam' <set> <set>
\end{verbatim}
This keyword is used to rename a set.
\subsection{\label{rot}rot}
\begin{verbatim}
'rot' ['n' <set>|'nodenr'] |
[['u'|'d'|'r'|'l'|'c' <angle>]|->
['x'|'-x'|'y'|'-y'|'z'|'-z']]
\end{verbatim}
This keyword is used to rotate the view-direction to the model. For example\\\\rot u 10\\\\will rotate the view-direction 10 degrees upwards. The meaning of the other letters is down d, right r, left l, clockwise c. The remaining letters will rotate the view into a pre-defined direction. For example the user will look in x direction after the command\\\\rot x\\\\and against the x direction with the command\\\\rot -x\\\\and so on.
The parameter 'n' is used to rotate the model in a way that the viewing direction is in normal direction at the location of a given node. Either a node-nr or a set with a node can be given:\\\\rot n nodeset\\\\Nevertheless the node might be obscured by other parts of the model. This can be checked with the ''\htmlref{test}{test}'' command.
\subsection{\label{save}save}
\begin{verbatim}
'save'
\end{verbatim}
This keyword is used to save the geometry (if any) to a file named as the input file but with the extension .fbd. If a file with that name exists already, then this file will be saved with the new file extension .fbb as a backup.
\subsection{\label{scal}scal}
\begin{verbatim}
'scal' ['s'|'v'|'d'] [<value>]
\end{verbatim}
This keyword is used to scale the graphic presentation of values but no values of entities. The scaling of the value itself can be done with the command ''\htmlref{ds}{ds}''. For example the command\\\\scal s 0.5\\\\will scale the range of values presented in the color plot by a factor of 0.5. The command\\\\scal v 5.\\\\will scale the length of vectors by a factor of 5. The command\\\\scal d 2.\\\\will scale the deformed shape by a factor of 2. Without a value it restores the default value. See also ''\htmlref{Toggle Vector-Plot}{Toggle Vector-Plot}'', ''\htmlref{Toggle Add-Displacement}{Toggle Add-Displacement}'', ''\htmlref{Datasets}{Datasets}''.
\subsection{\label{send}send}
\begin{verbatim}
'send' 'init'|
<set> 'fbd' ['c','e','f']| ->
'stl'| ->
'abq'|'ans'|'ast'|'dar'|'frd'|'gmp'|->
'lst'|'nas'|'ng'|'pat'|'skv'|'tcg' <RETURN>|
['bin']|['dbin']|
['ds'<nr>[+] [e<nr>[','|'-'<nr>]..]]|
['tmf']|
['sta' <refspeed>]|
['crp' <timefact> <refspeed> <writefreq>]|
['comp']|
['mpc' [[<rotation>|'v'<node> <v1> <v2> <v3> ]|
['n'<node>]]]|
['names']|
['raw']|
['spc' <dofs(1-6|t|p)> <value>]| ->
[<dofs(1-6|t|p)> 'ds'<nr> e<nr>]| ->
['nor' <fac1> [<fac2> <fac3>]]| ->
['nor' 'ds'<nr> 'e'<nr>]|
['spcf' <dofs(1-6|t|p)> <value>]| ->
[<dofs(1-6|t|p)> 'ds'<nr> 'e'<nr>]| ->
['slide' 'c'|'s'|'rx'| ->
'ry'|'rz'|'tx'|'ty'|'tz']|
['trac' [<v1> <v2> <v3>]|['ds'<nr> 'e'<nr>(1.comp of a vec)] [+|-] ]|
['pres' [<value>]|['ds'<nr> 'e'<nr>] [+|-] ]|
['film' [[n<nodnr>][<temp>]|->
[[['ds'<nr>]|[sq<dsnr>-<dsnr>]] 'e'<nr>]->
[[<coeff>]|->
[['ds'<nr>]|[sq<dsnr>-<dsnr>] 'e'<nr>]] [+|-] ]|
['rad' [[<temp>|[cr<temp>]|['ds'<nr> 'e'<nr>]] ->
[[<emis>|['ds'<nr> 'e'<nr>]] [+|-] ]|
['dflux' [[<load>]|['ds'<nr> 'e'<nr>]] [+|-] ]|
['mflow' [[<load>]|['ds'<nr> 'e'<nr>]] [+|-] ]|
['cflux' <load>]|
['force' <f1> <f2> <f3>]|
['quadlin']|
['sur' [+|-] ]
'send' <set> 'dolfyn' [<type> <set>]
'send' <set> ['duns'|'isaac'] [[<type>|'periodic'] <set>]
'send' <set> ['foam'] [<type> <set>] | ->
['cyclic' <set> <set> 'tx'|'ty'|'tz'|'rx'|'ry'|'rz'|
'cx'|'cy'|'cz'|<vx,vy,vz>]
'send' <dep-set> <indep-set> 'nas'|'abq'|'ans' ['cycmpc'|'cycmpcf' ->
'px'|'py'|'pz'|'tx'|'ty'|'tz'| ->
'rx'|'ry'|'rz'|'cx'|'cy'|'cz'<+-segments> 'c'|'u'<NR>]| ->
['areampc' <dofs('t'|'p'|'1-6')> 'c'|'u'<Nr>]|'f'<value> ->
['areampc' 'slide']| ->
['areampc' 'presfit' ['s'<value>]]| ->
['gap' <vx> <vy> <vz> <tol>]
\end{verbatim}
This keyword is used to send data to the file-system. In certain cases the written file-name contains given parameters to make them unique which is convenient when the user writes several files of the same type. But on the other hand this makes it sometimes hard to know in advance how the file would be named. Therefore the send command writes the file-name to the stack from which the user can derive the name if the ''\htmlref{stack}{stack}'' was activated.
The following formats are known (but not all options for all formats are fully supported so far); The geometry-format (fbd)\\\\send set fbd\\\\or\\\\send set fbd c\\\\will complete the set downwards before writing.
Usually the point coordinates are written in exponential format but with option 'f' after 'fbd' the point coordinates will be written in long float (double) format:\\\\send set fbd f\\\\Useful when otherwhise a '0.' is not exactly zero. The command \\\\send set fbd e\\\\will write all model-edges as small lines running from node to node. A special case of a command file is written with\\\\send init\\\\named init.fbl which stores status variables (also written at the end of geometry files). This can be used in a second or later session by reading it with the ''\htmlref{read}{read}'' command:\\\\read init.fbl\\\\The user might use the ''\htmlref{menu}{menu}'' command to define two command lines for the writing and reading of the init file to a certain location. With this approach a certain orientation of the model can be quickly stored and restored.
A surface description with triangles (stl)can be written:\\\\send all stl\\\\This triangles are based on elements which were created by meshing surfaces or by automatically triangulated element-faces of all types of supported elements. If be2 elements are included in the mesh (meshed lines) a so called edge file for NETGEN will also be created if stl is written. NETGEN provides also a stand-alone mesher called ng\_vol. The mesher can be found in the netgen sub-directory nglib. As for the stl-format triangles can be written for this mesher with:\\\\send set ng\\\\It has the advantage that the triangles are directly used to define tetras and not as with stl are only used to define the outer shape of the body.
The following mesh-related formats are known: Femview and CADfix (frd), Nastran (nas), Abaqus (abq), Ansys (ans), CodeAster (ast), Samcef (sam), Darwin (dar), patran (pat, only sets), gagemap (gmp, only sets) and Tochnog (tcg) but only ccx (Abaqus) is fully supported. Good support is also provided for ansys, darwin and nastran. If no further parameter follows then just the definition of the nodes and elements will be written:\\\\send all abq\\\\will write the mesh in the format used by Abaqus and the CalculiX solver. If the parameter ''ds'' is provided followed by the dataset-nr\\\\send set abq ds1\\\\then the values stored in Dataset 1 are written. For 'frd'-format the 'ds' parameter w/o any further values forces cgx to write all datasets but w/o the internally calculated ones:\\\\send all frd ds\\\\If a ``+'' sign appears at the end of the 'ds' parameter\\\\send all frd ds+\\\\or \\\\send all frd ds1+\\\\then also the internally calculated values like vMises-stress are written. Additionally the entities might be specified with the 'e' parameter followed by the numbers to write. The numbers have to be separated by a ',' sign or in case of a range by a '-' sign:\\\\send all frd ds1 e9,25-30\\\\ The ``bin'' parameter has the same meaning as the ``ds'' parameter but in this case the result is written in the single precision binary form of the frd-format ('dbin' writes formally double precision but the data are single precision). It writes always all datasets. In case data should be written for the crack analysis tool Darwin\\\\send all dar ds\\\\will write all datasets. Since Darwin changed the format from version 7.1 on, it is possible to change the format with the parameter 'v7.1' as the last parameter (use 'v7.1' and the darwin conversion tool for newer versions). If the set is of the ordered type and includes nodes (see ``\htmlref{qseq}{qseq}'') then the data are written in tabular form for use in a 1D crack-prop Darwin-analysis.
In certain circumstances the user needs an easy solver independent format to write node- and element numbers. This is provided by the ``lst'' parameter:\\\\send setname lst\\\\will write the node- and element-numbers in lines of seven space separated rows.
The export of 'skv' input data for the quasi-normals is included:\\\\send setname skv ds1\\\\will write the node coordinates in y direction as 'r' coordinates, the x direction as 'z' coordinates, the values from the given dataset as the 'betaru' value, datasetnr+1 as the 'betazu' value, datasetnr+2 as the 'sigma' value and datasetnr+2 as the 'entropy' value.
Missing lower entities (nodes, points, lines etc.) will be added to the set before the set is written if the parameter ''comp'' follows. For example geometry like bodies\\\\send set fbd comp\\\\will be extended by surfaces, lines and points or\\\\send set frd comp\\\\will include all nodes used by the elements to the set elem and will then write the file.\\\\
The parameter ``quadlin'' forces the conversion from second order elements into single order elements were each element is subdivided into 8 single order elements. This takes place during writing and will not change the current state of the mesh in cgx. Up to now it is only available for the abq format:\\\\send all abq quadlin\\\\
If the parameter ''tmf'' follows the definition of a solver format\\\\send set abq tmf\\\\then the mesh plus all temperatures with the necessary solver context for tmf calculations is written. If the parameter ''sta'' follows \\\\send set abq sta 2900.\\\\then the mesh plus all temperatures with the necessary solver context for a static calculations is written. Here the value for ''speed'' is a reference value for eventual numerical values in the TEXT-Block of the Datasets in the result file (frd-file, see ''\htmlref{Nodal Results Block}{Nodal Results Block}''). A scaling factor will be determined based on the reference value (here a ref.speed of 2900.) and the individual TEXT-Block values (factor = speed**2 / refspeed**2). This factor is used in *AMPLITUDE commands which will also be written and will be used to scale static loads which are referenced in the *STEP data. If the parameter ''crp'' follows \\\\send set abq crp 1. 2900. 1\\\\then the mesh plus all temperatures with the necessary solver context for creep calculations is written. Here the value for ''timefact'' scales the time-values of the Datasets, ''speed'' is a reference value for scaling static loads (see option ``sta'') and writefreq limits the output to the result-file.\\\\
If the parameter ''names'' follows the solver-type then just the element- or node-numbers are written. This is useful for defining sets for the solvers. The command\\\\send steel abq names\\\\will write the node and element numbers included in ''steel''. This file could be used to define a set for material assignments, boundary conditions or loads. If all sets should be written at once, use:\\\\send all abq nam\\\\When using ``abq'' together with ``names'' or ``sur'' a set is defined before the data lines. If this is not desired then the ``raw'' parameter has to be used instead of ``names'' or ``sur'':
\\\\send nodeset abq raw\\
It is also possible to define and send some constraints to the file system. To constrain degrees of freedom (dof) of selected nodes use the parameter ''spc'' in combination with the numbers of the constrained dofs and optionally a forced deflection. For example:\\\\send hinge abq spc 123\\\\will constrain the translational degrees of freedom of the nodes in set ''hinge''. Or\\\\send hinge abq spc 12356\\\\will leave just one rotational degree of freedom unconstrained. And\\\\send move-nodes abq spc 1 0.1\\\\will move the nodes in set move-nodes by 0.1 in direction 1.\\\\send move-nodes abq spc 1 ds1 e1\\\\will use the values from dataset-nr 1 and the entity-nr 1 for the forced displacement in direction 1 and\\\\send move-nodes abq spc nor 0.1\\\\ will force the nodes included in set move-nodes by 0.1 in the normal direction (normal to the element-faces). The components of the vectors at the node positions can be scaled individually (fac1-3)). The vector length can also be read from an entity of a dataset:\\\\send move-nodes abq spc nor ds1 e4\\\\ A subsequent calculation with ccx will move the mesh accordingly. After solving the deformed mesh can be used as a new mesh for further calculations. With this procedure geometric variations are possible without manipulating the geometry (morphing).
For the ccx cfd finite volumen method there is a ``spc'' function available which works on faces instead on nodes (see *BOUNDARYF in the ccx manual).\\\\send Inlet abq spcf 123\\\\The degees of freedom 123 define velocities and not deflections. Its called ``spcf'' and works otherwhise accordingly to the ``spc'' command. For the *INITIAL CONDITIONS keyword of ccx you write the data for example with\\\\send all abq ds123\\\\were ds123 is the dataset-nr shown in front of datasets (not loadcases) in cgx. It can be a vector (velocity) or scalar (pressure, temperature).
The parameter ''slide'' in combination with one additional parameter will create equations that force the selected nodes to move only in a plane. If the additional parameter ''s'' is specified then the specified nodes will be attached to their element faces. All nodes of the affected element-faces have to be selected. For example you type:\\\\send sur abq slide s\\\\and this should attach the node with the node-nr. 1 to a plane parallel to the surface of the corresponding element-face. This element uses the node 1, 2, 3, 4, 5, 6, 7 and 8 where 1, 2, 3 and 4 are on the surface of the mesh. The program will detect this element face and constrain the node only then if the nodes 2, 3 and 4 were also included in the set ''sur''! The detected elements or faces of volume-elements will be assigned to the set. So it is possible to check the detected elements. Instead of providing a set with the necessary nodes, you might instead provide a set with shell-elements or/and faces of volume-elements. The nodes will be derived from them. In most cases this is the most convenient way.
A special case which works probably only in ccx (abaqus might give wrong results) is triggered by the ``c'' parameter. It behaves as for the ``s'' parameter but works for cycsym calcs:\\\\send cycsur abq slide c\\\\ A new set with new nodes will be created with the name ``\verb_<_set\verb_>_\_COPY'' which has to be used in the cycsym definition in ccx instead of ``\verb_<_set\verb_>_''. In addition equations are specified which connect the new nodes with the original ones in the normal direction of the element faces. In this way two faces used in a cyclic symmetry connection will slide at each other instead of beeing glued in all directions.
If nodes should slide radially to the y axis then use ''ry'':\\\\send sur abq slide ry\\\\ or use ''ty'' if the nodes should move only tangential to the y axis. In both cases the axial movement is still permitted.
The parameter ''sur'' will write the surfaces of the mesh either in abaqus-format for the *SURFACE command or in frd-format as shell elements. For example\\\\send top abq sur\\\\will write the elements in set top together with the face-nr (Important: Only free surfaces of the mesh are regarded, internal faces are unknown and can not be identified). The front- or rear side of the face (pos or neg) is selected with the '+' or '-' parameter:\\\\send surset abq sur -\\\\will write all surfaces in set surset in abaqus format and all surfaces which have a potentially negative side will be written in that manner.
The parameter ''pres'' is used to assign pressure values to element faces. For example\\\\send surf abq pres 0.05\\\\will assign the pressure value 0.05 to all element-faces in set surf. If a dataset with nodal values is available it is also possible to use this values instead of using a uniform value for all faces. For example\\\\send surf abq pres lc1 e1\\\\will specify the dataset-nr 1 and the entity-nr 1 to be used instead of a uniform value. The front- or rear side of the face (pos or neg) is selected with the '+' or '-' parameter (it has to be the last parameter).
The parameter ''trac'' is used to assign a surface traction vector to element faces. For example\\\\send surf abq trac 0.05 0.01 0.1\\\\will assign the vector 0.05 0.01 0.1 to all element-faces in set surf. If a dataset with nodal values is available it is also possible to use this values instead of using uniform values for all faces. For example\\\\send surf abq trac lc1 e1\\\\will specify the dataset-nr 1 and the entity-nr 1,2,3 to be used instead of uniform values. The front- or rear side of the face (pos or neg) is selected with the '+' or '-' parameter (it has to be the last parameter).
The parameter ''film'' is used to assign free-stream temperatures and thermal heat coefficients to element faces. It works similar to the ''pres'' option. For example\\\\send surf abq film 1200. 0.5\\\\will assign the film temperature of 1200 and the coefficient 0.5 to all element-faces in set surf. If datasets with nodal values are available it is also possible to use this values instead of using a uniform value for all faces. For example\\\\send surf abq film ds1 e1 0.5\\\\will specify the dataset-nr 1 and the entity-nr 1 to be used for the temperature instead of a uniform value, or \\\\send surf abq film ds1 e1 lc1 e2\\\\will specify also the dataset-nr 1 with the entity-nr 2 to be used for the film-coefficients instead of a uniform value. The front- or rear side of the face (pos or neg) is selected with the '+' or '-' parameter (it has to be the last parameter). Instead of a single dataset-nr a range can be given:\\\\send surf abq film sq1-9 e1 sq1-9 e2\\\\and instead of giving e determined value for the temperature a node of a thermal network can be specified with: \\\\send surf abq film n1277 ds1 e1\\\\
The parameter ''rad'' is used to assign a sink temperatures and the emissivity to element faces. It works similar to the ''pres'' option. For example\\\\send surf abq rad 1200. 0.5\\\\will assign the sink temperature of 1200 and the emissivity 0.5 to all element-faces in set surf. If datasets with nodal values are available it is also possible to use this values instead of using a uniform value for all faces. For example\\\\send surf abq rad lc1 e1 1200.\\\\will specify the dataset-nr 1 and the entity-nr 1 to be used for the temperature instead of a uniform value, or \\\\send surf abq rad lc1 e1 lc1 e2\\\\will specify also the dataset-nr 1 with the entity-nr 2 to be used for the emissivity instead of a uniform value. The front- or rear side of the face (pos or neg) is selected with the '+' or '-' parameter (it has to be the last parameter). If cavity radiation should be used then the command has to use the 'cr' attribute:\\\\send surf abq rad cr1000. 0.7\\\\Here 1000. is either the sink temperature, or, if the ccx parameter ENVNODE is active (*RADIATE,ENVNODE), the sink node.
The parameters ''dflux'' and ''mflow'' are used to assign an energy stream or a mass-flow to element faces. They work similar to the ''pres'' option. For example\\\\send surf abq dflux 0.5\\\\will assign the flux of 0.5 to all element-faces in set surf. And\\\\send surf abq mflow 0.5\\\\will assign the mass-flow of 0.5 to all element-faces of the given set. If a dataset with nodal values is available it is also possible to use this values instead of using a uniform value for all faces. For example\\\\send surf abq dflux lc1 e1\\\\will specify the dataset-nr 1 and the entity-nr 1 to be used instead of a uniform value. The front- or rear side of the face (pos or neg) is selected with the '+' or '-' parameter (it has to be the last parameter).
The parameter ''cflux'' is used to assign an energy stream to nodes. For example\\\\send surf abq cflux 0.5\\\\will assign the flux of 0.5 to all nodes in set surf.
The parameter ''force'' is used to assign force values to nodes. For example\\\\send nodes abq force 1. 20. 0.\\\\will assign the specified forces to all nodes of the set nodes.
The parameter ''mpc'' is either used to create input for the user-subroutine umpc which forces all nodes from ''set'' to rotate by an average value specified with ''rotation'' around the vector v, or to create a rigid body. In case of a rotation the value has to be in degree were 90 degree is orthogonal. For example\\\\send nodes abq mpc 4. 1. 0. 0.\\\\will assign the nodes of the set ''nodes'' to the user-subroutine umpc and will force them to rotate by 4 degree around the x-axis. Two files are produced. One file with the equation and the reference node has to be included in the model-definition-section and the boundary-file in the step section. The reference node is used to apply the pre-defined rotation but can also be used to apply a moment by using the *CLOAD command. The number of the reference node is always one above the highest node number in the current mesh. You may use ``\htmlref{node}{node}'' to increase the last node number in the model.
In case of a rigid-body request there are two other parameters in combination with ``mpc'' available. The rotation value is replaced by a nodenr of an independent node which will be created based on either provided coordinates\\\\send nodes nas mpc v4711 1. 0. 0.\\\\or by averaged coordinates based on the specified set (here ``nodes'') which are interpreted as dependent nodes:\\\\send nodes nas mpc n4711\\\\In both cases an RBE2 (nastran) or *RIGID BODY,REF NODE=nodenr (ccx,abq) element will be created which connect all this nodes. See also ''\htmlref{asgn}{asgn}'' on how to predefine a thermal expansion coefficient ``alfa'' for this element (only nastran).\\\\
Another useful method are so called ''cyclic symmetry'' equations. These equations are used when just a section of a rotation-symmetric part like a disk is modeled. These equations force the two cutting planes of such a section to move exactly equal in the cylindrical system. If the coordinate system of the displacements for the solver is rectangular (xyz) then the syntax is:\\\\send dep indep nas cycmpc rx12 c1\\\\Here ''dep'' is the set containing the nodes of the dependent side. These nodes will be replaced by the solver with the independent nodes from the set ''indep''. In this case the equations will be written in the nastran format ''nas'' (in nastran called MPC). The parameter ''rx12'' defines the displacement system as rectangular ''r'', the rotational axis is ''x'' and the ''12'' defines the number of segments in 360 deg, therefore the angle of the segment is 360 deg /12. Attention: The sign of the number-of-segments must be negative if the angle between the independent side and the dependent side is negative. When the nr-of-segments is omitted the value is calculated individual for each node. The ''c'' triggers the correction of the position of the dependent nodes to a position defined by the angle of the segment (highly recommended), ''u'' would prevent the correction. The ''1'' will be the identifier for the equations if the format is nas (nastran). In case the format would be ans (ansys) then the ''1'' would be the number of the first equation. No number is required for abq (abaqus and calculix). If the coordinate system of the displacements is cylindrical (rtz) then the example would be:\\\\send dep indep nas cycmpc cx12 c1\\\\Only the ''r'' from ''rx12'' is changed to ''c''. A thermal connection is created with:\\\\send dep indep nas cycmpc tx c\\\\The thermal connection is triggered by the ''t'', a pressure connection with ``p''. See comments above for the single parameters. In case of the ccx cfd finite volumen method the syntax is similar but only the function name itself differs:\\\\send dep indep abq cycmpcf rx12 c1\\\\The function name for cfd elements is 'cycmpcf' instead of 'cycmpc'.
In addition it is possible to ''glue'' independent meshes together. For this purpose the dependent nodes are tied to independent elements by equations. Choose the finer mesh for the dependent side. The equations are based on the shape-functions of the element types. For example\\\\send dep indep nas areampc 123 c1\\\\will connect the nodes in the set dep to element-faces described by nodes included in the set indep. The set dep must contain all nodes which should be ''glued'' and the set indep should contain all nodes of the elements surfaces to which the dep nodes should be glued. The numbers ''123'' are the degrees of freedom which will be connected (''t'' will create a thermal connection, ``p'' a press-fit connection). The ''c'' triggers the correction of the position of the dependent nodes to a position on the surface of the independent elements (highly recommended and default), ''u'' would prevent the correction, ``f'' forces the dependent node away from the independent face. Of course the mesh has to be written after the use of such a command, otherwhise the corrected node positions would not be regarded and the equations would lead to increased stiffness and decreased accuracy. The ''1'' will be the identifier for the equations if the format is nas (nastran). In case the format would be ans (ansys) then the ''1'' would be the number of the first equation. No number is required for abq (abaqus and calculix), see also ''\htmlref{How to connect independent meshes}{How to connect independent meshes}''.
There is also the ''slide'' option in combination with the ''areampc'' option: For example if the mesh of a turbine-blade and a disk should be connected with each other in a simple but realistic way then a sliding condition between this parts can be established. The command:\\\\send dep indep abq areampc slide\\\\will connect the nodes in the set dep to element-faces described by nodes included in the set indep but only in the direction perpendicular to a plane defined by either the related faces to nodes of the dep-set or to faces which are included in the dep set! This difference is important since in a situation were the nodes in the dep set do not fully define existing faces (e.g. line or point contact) the user can include in the dep set some faces which describe the desired sliding direction (most often some faces from the indep side). Therefore all dep-nodes and all indep-nodes must lie in the same plane and will slide in the same plane!\\
Another case is considered with the ''presfit'' option in combination with the ''areampc'' option. For example if a cylindrical press fit should be simulated then a forced displacement between the two intersecting surfaces is necessary. This forces the dependent nodes to move to the independent face. Two modes are available:\\\\send dep indep abq areampc presfit f\\\\simulates sticking friction and with the option s\\\\send dep indep abq areampc presfit s\\\\works for sliding conditions. The user might request a certain value for the press fit if the overlapping of the mesh do not represent the necessary distance:\\\\send dep indep abq areampc presfit s0.06\\\\will move the dep-nodes 0.06 in the normal direction of the independent faces (works also with option f). Additional nodes are generated and can be used to request the reaction forces on the dependent nodes. They are stored in a set named N<dep-set-name><ind-set-name>. Two files are produced. The one with the equations has to be included in the model-definition-section and the boundary-file in the step section.
To define so called ''gap'' elements and related control-commands: These elements will connect parts if they are closer as a certain distance. For example if the distance is zero (contact). The command:\\\\send dep indep abq gap 1. 0. 0.\\\\will connect the nodes in the set dep and indep with gap-elements but only if they match each other in the direction 1.\\\\
Special cases are the cfd-solvers Duns, Isaac and OpenFoam. The boundary patches are an integral part of the mesh. So it is necessary to specify all boundary patches when writing the mesh. Which means that all free surfaces of the mesh must be specified. This is an example for OpenFoam:\\\\send all foam cyclic cyc1 cyc2 cx patch in patch out wall wall\\\\will write the so called polyMesh description to the file-system. After the send command the set (all) with the mesh is specified, then the format (foam), then cyclic boundary conditions (cyclic cyc1 cyc2 cx) between set cyc1 and cyc2 of the axi-symmetric case around x (cx), then boundary conditions of type patch for set ''in'' (patch in), then boundary conditions of type patch for set ''out'' (patch out) and boundary conditions of type wall for set ''wall'' (wall wall).
The symmetric boundary-conditions (base-type: cyclic) can be axi-symmetric (c) around x,y,z or rectangular (r) in direction of x,y,z. Only for OpenFoam and in the rectangular (Cartesian) case also a vector pointing in the direction of the symmetry can be specified (ie: 1.,1.,0.)
For dolfyn, duns and isaac the same syntax has to be used:\\\\send all duns viscous-wall profil subsonic-inflow in subsonic-outflow out\\\\send all isaac WALL profil FARFIELD far EXTRAPOLATE out\\\\send all dolfyn INLE ingang OUTL uitgang ... etc. The parameters like 'viscous-wall', 'FARFIELD', 'INLE' are specific for the single cfd tools and are described in the documentation of these programs. The cgx knows a certain BC called 'periodic' to glue the left side to the right side of a mesh and so creating a periodic mesh (cascade). One set for each pair of lines or lcmb's (2D) or surfaces (3D) must be used. For example:\\\\send all duns viscous-wall profil subsonic-inflow in subsonic-outflow out periodic cyc1 periodic cyc2 periodic cyc3
The cgx is able to write parts of the solver input file when certain values are defined (see ''\htmlref{valu}{valu}''). If they are defined the boundary conditions and gas properties will be written to the ``duns.bou'' or ``isaac.dat'' file. The following values can be provided for that purpose:
\begin{verbatim}
WallTemperature
temperature // inlet
pressure // outlet
stagnation-pressure // inlet
stagnation-temperature // inlet
u-velocity // inlet
v-velocity // inlet
ini-velocity-factor // scales the initial velocity field
\end{verbatim}
The user has to add missing commands before he can use the input files.
The initial flowfield values 'MACH' and 'ALPHA' for isaac is scaled by 'ini-velocity-factor' for better convergence if a 'JET' boundary condition is specified. In this case the inlet conditions are defined using the 'JET' conditions (the necessary inlet static pressure is calculated by cgx if the stagnation values are present). Further information is available in ''\htmlref{Remarks Concerning Duns and Isaac}{Remarks Concerning Duns and Isaac}''. The velocity of the initial flowfield for duns is also scaled by 'ini-velocity-factor'.
Be aware that duns and isaac use block meshes which must be created using the set 'all'. So the use of set 'all' together with the parameter 'block' is mandatory when the block structure is needed! Nevertheless the user might only assign an element type to a sub set so that only a part of the geometry will be meshed (see ''\htmlref{mesh}{mesh}'').
\subsection{\label{seqa}seqa}
\begin{verbatim}
'seqa' <seq> ['nod'|'pnt' <name> .. <=>]|
['afte'|'befo' <name> 'nod'|'pnt' <name>.. <=>]|
['end' 'nod'|'pnt' <name> .. <=>]
\end{verbatim}
This keyword is used to create or redefine a set marked as a sequential set. This set is used for spline definitions (see \htmlref{line}{line}). With the command \htmlref{qlin}{qlin} such a sequential set is automatically created. To begin such a set type for example:\\\\SEQA Q003 PNT P004 P005 P006 P00M P00N\\\\The program will create or overwrite the set Q003. The command will continue in the next line if the sign ''='' is found:\\\\SEQA Q003 PNT P004 P005 P006 =\\ P007 P008 P009\\\\The parameter AFTE will insert additional points after the first specified point in the existing sequence. The parameter BEFO will insert additional points before the first specified point and the parameter END will add additional points to a sequence.
\subsection{\label{seqc}seqc}
\begin{verbatim}
'seqc' <set>
\end{verbatim}
Converts an ``\htmlref{lcmb}{lcmb} into a spline. The lcmb will be deleted (not the referenced lines) and keeps the sum of divisions but sets the bias to 1.
\subsection{\label{seql}seql}
\begin{verbatim}
'seql' <set> <nr>
\end{verbatim}
Makes splines from all sorts of lines. The nr of new created inner points is defined by the parameter nr. Also existing splines will be redefined.
\subsection{\label{seta}seta}
\begin{verbatim}
'seta' <set> ['!'|'n'|'e'|'p'|'l'|'c'|'s'|'b'|'L'|'S'|'v'|'se'| ->
'sh'|'ld'<div> <[\]name|*chars* ..>] |
['n'|'e' <name> '-' <name> <steps>]
\end{verbatim}
This keyword is used to create or redefine a set (see also \htmlref{qadd}{qadd}). All entities like points or bodies and so on must be stored at least in one set to be reachable. The set ''all'' is created automatically at startup and will be open (see \htmlref{seto}{seto}) all the time unless explicitly closed (see \htmlref{setc}{setc}). To add points to the set ''dummy'' type:\\\\seta dummy p p1 p2\\\\This will add the points p1 and p2 to the set dummy. The following entities are known:
Nodes n, Elements e, Faces f, Points p, Lines l, Surfaces s, Bodies b, Nurb Lines L, Nurb Surfaces S, Values v, names of other sets se or shapes sh. If the entity of the specified type does not exits a set of that name is assumed and if existing then all it's entities of the specified type are appended:\\\\seta set1 n set2\\\\will append only the nodes in set2 to set1. If the type 'se' is used then the full content of set2 is appended. Wildcards (*) can be used to search for setnames of a certain expression.
The program will automatically determine the type of the entities if not specified, but then the names must be unique. More than one name can be specified. A minus sign between two numbers of nodes or elements specifies a range of entities with steps of ''steps'':\\\\seta set1 n 1001 - 1100 12\\\\
If the '!' sign is specified instead of a setname then the program generates automatically sets with system defined setnames and stores entities in it. This can be used is to separate independent meshes and line-loops. The single independent meshes are then referenced by new setnames, for example:\\\\seta ! all\\\\will determine all separate (disjunct) meshes in set ``all'' and store them in sets called +CF\verb_<_nr\verb_>_. Figure \ref{seta}) illustrates this function. Other entities have to be specified as an additional argument after the '!' sign:\\\\seta ! l all\\\\will determine all separate (disjunct) line-loops. Other entieties are not implemented so far.
Values ''\htmlref{valu}{valu}'' can be used as arguments. It is necessary to mask a value with a leading '\textbackslash{}' In cases were the value should not be replaces by its content:\\\\seta set v \textbackslash{}val1 \textbackslash{}val2\\\\will not substitute the val1 and val2 but add the values itself to the set.
Lines with a division higher than specified with\\\\
seta setname ld50\\\\
can be stored in a set. Here all lines with a division above 50 are stored in setname.
\begin{figure}[h]
\epsfig{file=seta.eps,width=12cm}
\caption{\label{engine}All disjunct meshes in the jet-engine are successive coloured}
\end{figure}
\subsection{\label{setc}setc}
\begin{verbatim}
'setc' [<set>]
\end{verbatim}
This keyword is used to close an open set. Without parameter setc will close the at last opened set.
\subsection{\label{sete}sete}
\begin{verbatim}
'sete' <set> 'n'|'e'|'p'|'l'|'c'|'s'|'b'|'S'|'L'|'se'|'sh' ->
'max'|'min'|'strict'
\end{verbatim}
This keyword is used to enquire other sets which have entities in common or which have an identical content. Example:\\\\sete blade p min\\\\ searches for sets who store at least the same points as "blade" (always the set "all"). The option ``max'' searches for sets whose entities are completely included in the specified set. The option ``strict'' searches for identical sets regarding the specified type of entity.
\subsection{\label{seti}seti}
\begin{verbatim}
'seti' <set> 'n'|'e'|'p'|'l'|'c'|'s'|'b'|'S'|'L'|'se'|'sh' ->
<set> <set>..
\end{verbatim}
This keyword is used to generate an intersection of certain sets (what do the specified sets have in common of the specified entity-type?). Example:\\\\seti intersectSet p set1 set2 set3\\\\generates a set intersectSet with points which are stored in each of the sets set1 set2 set3.
\subsection{\label{setl}setl}
\begin{verbatim}
'setl' <set> ['l']|'u'
\end{verbatim}
This keyword is used to lock a set:\\\\
setl set\\\\
Or to unlock the set:\\\\
seto set u\\\\
A locked set will not store any additional entity and no entity will be removed. This can be used to prevent them from beeing unintendedly changed by using commands like ``\htmlref{seto}{seto}'' or ``\htmlref{swep}{swep}''.
\subsection{\label{seto}seto}
\begin{verbatim}
'seto' [<set>]
\end{verbatim}
This keyword is used to enquire open sets:\\\\
seto\\\\
Or to mark a set as open:\\\\
seto set\\\\
All newly defined or redefined entities will be members of all open sets. See \htmlref{setc}{setc} how to close an open set. An existing set which was locked with ``\htmlref{setl}{setl}'' will be unlocked by this command.
\subsection{\label{setr}setr}
\begin{verbatim}
'setr' <set> 'n'|'e'|'p'|'l'|'la'|'ll'|'ls'|'ln'| ->
's'|'b'|'L'|'S'|'v'|'se'|'sh'
<name|*chars*> <name|*chars*> ..
\end{verbatim}
This keyword is used to remove entities from a set (see also \htmlref{qrem}{qrem}. The entity will not be deleted. It is just not longer a member of that set. To remove entities from the set dummy type:\\\\setr dummy p p1 p2\\\\This will remove the points p1 and p2 from the set. The following entities are known: Nodes n, Elements e, Points p, Lines l, Surfaces s, Bodies b, Nurb Lines L, Nurb Surfaces S, Values v, other sets se and shapes sh. The program will automatically determine the type of the entities if not specified, but then the names must be unique. Wildcards (*) can be used to search for setnames of a certain expression.
The type of lines can be given with the second digit:\\\\setr dummy ls
all\\\\This will remove only splines from set 'dummy'. Known are 'l' straight
lines, 'a' arcs, 'n' nurbs, 's' splines.
\subsection{\label{shpe}shpe}
\begin{verbatim}
'shpe' <name|!> ['pln' <P1> <P2> <P3>] |
['cyl' <P1> <P2> <R1>] |
['con' <P1> <P2> <R1> <R2>] |
['tor' <P1> <R1> <P2> <R2>] |
['sph'] <P1> <R1>]
\end{verbatim}
This keyword is used to create a shape which can be used to define the interior of surfaces or to be used as a target for projections (see \htmlref{proj}{proj}) or to split entities (see \htmlref{split}{split}). REMARK: So far only the plane shape can be used for all kinds of projections and splitting. The other types can not be used for splitting and only the normal projection is implemented for them.
A plane shape is defined with the parameter ``pln'' followed by the names of three points:\\\\shpe H001 pln P1 P2 P3\\\\A cylinder can be defined by\\\\shpe H001 cyl P1 P2 10.5\\\\were 10.5 is the radius. A cone can be defined by\\\\shpe H001 con P1 P2 10.5 2.\\\\were 10.5 is the radius at point P1 and 2. at point P2. A torus can be defined by\\\\shpe H001 tor P1 10.5 P2 2.0\\\\were 10.5 is the radius at point P1. Point P2 lies on the torus axis and 2.0 is the radius of the tube. A sphere can be defined by\\\\shpe H001 sph P1 10.5\\\\were 10.5 is the radius at point P1. If automatic name generation is desired, then use ''\verb_!_'' instead of a name. See also ``\htmlref{qshp}{qshp}'' for the mouse controlled definition of shapes. It should be mentioned that all shapes are actually nurbs and that internally all nurbs which are used by surfaces are actually referenced by a shape as an interface.
Remark: A further shape type exists which links a nurbs to a surface definition. Such a shape will be automatically generated when a nurbs is finished by the ``END'' parameter using the same name as the nurbs. This shapes will not be written to a file but using the \htmlref{prnt}{prnt} command will list them:\\\\shpe N001 NURS N001
\begin{figure}[h]
\epsfig{file=shpe.eps,width=12cm}
\caption{\label{The shape types and its symbols together with an illustrating mesh}The shape types and its symbols together with an illustrating mesh}
\end{figure}
\subsection{\label{split}split}
\begin{verbatim}
'split' [[<set> <set>] ['nos(eparation)'|'e']] |[<line> <point>]
\end{verbatim}
This keyword is used to split lines, surfaces, bodies and elements stored in a first set by surfaces or shapes given in a second set. Also a single line can be splitted by a given point (see ``\htmlref{pnt}{pnt}'' how to generate a point on a line). It is advisable to split only elements or geometry. Otherwhise the performance is very poor.
So far only tetraeder elements (in the first set) can be splitted by surfaces, faces or shapes (referenced by the second set). The splitted tetraeder elements will be replaced by new tetraeder- and pentaeder elements. It can be used to cut out parts of the mesh to be either used directly in other models or which can be remeshed with tets based on an stl-file derived from them. Or it can be used to apply damages to a structure. See ``\htmlref{How to map loads}{How to map loads}'' in the appendix on how to map loads to the new created nodes from the original mesh. The use of parameter 'e' just stores the elements which would be splitted in the set '+eorig' but prevents the splitting of the elements:
\\\\split elset shape e\\\\
When bodies should be splitted then only one body per split command is currently possible. But only if the split would lead to exactly two parts. Splitting of several bodies at once will not create new bodies. Use several split commands instead. If unexpected results occur the user might use the option 'nos' to check the splitting of surfaces without the steps of separation and distribution to two bodies.
Sometimes the splitting of surfaces results in lines which do not look as expected. The reason is usually a insufficient resolution of the triangles used for the representation of the surfaces. These triangles are generated or updated before the splitting happens and they are the basis for the splitting (the \htmlref{rep}{rep} command does the same and the result can be viewed with ``plot si all''). The user should increase the line division with \htmlref{qdiv}{qdiv} and the inner resolution with \htmlref{elty}{elty} or \htmlref{qmsh}{qmsh} before he starts the next attempt (it is advisable to save the model before the split command is used).
When using the parameter 'noseparation' (first 3 chars are significant)\\\\split surfset shape nos\\\\ the resulting surfaces will still be connected by the new lines created by the splitting. And they will eventually share a common NURBS. So if one of this surfaces is deleted it is necessary not to delete the related NURBS as well since otherwhise all remaining surfaces will lose their internal definition! Splitted surfaces can be combined again with ``\htmlref{qmsh}{qmsh}''.
\subsection{\label{stack}stack}
\begin{verbatim}
'stack' on|off|free
\end{verbatim}
Several functions which return values to the user might now place them also on a software-stack (used by \htmlref{area}{area},\htmlref{dist}{dist},\htmlref{ds}{ds},\htmlref{enq}{enq},\htmlref{gtol}{gtol},\htmlref{length}{length},\htmlref{prnt}{prnt},\htmlref{valu}{valu},\htmlref{volu}{volu} and many more). The ``\htmlref{valu}{valu}'' command is able to read this values from the stack and place them in variables. The 'free' parameter will empty the stack but does not open or close it.
See also ``\htmlref{if}{if}'' and ``\htmlref{while}{while}''.
\subsection{\label{steps}steps}
\begin{verbatim}
'steps' <value>
\end{verbatim}
This keyword is used to define the number of different colors in the post-processor mode. The default is 21. The user might use this command to store his personal setting in the ``.cgx'' file in his home directory. See also ''\htmlref{max}{max}''.
\subsection{\label{stop}stop}
\begin{verbatim}
'stop'
\end{verbatim}
Stops reading of the actual command file and gives the user the opportunity to work interactively until he resumes reading with ``\htmlref{cont}{cont}''. It is possible to update the command file after the stop command.
\subsection{\label{subm}subm}
\begin{verbatim}
'subm' <submenuName> <name> <command>
\end{verbatim}
This keyword is used to add a cgx command line to the menu like ''\htmlref{menu}{menu}''. The difference is that this command creates or extends a submenu which allows the user to bundle related commands. This subm commands are usually stored in a ``.cgx'' file in the home directory to link them to the menu during startup.
\subsection{\label{surf}surf}
\begin{verbatim}
'surf' <name(char<9)>|'!' [<set>|<nurbs>]|<shape>] | ->
[<nurbs>]|<shape>|'blend'] <line|lcmb> <line|lcmb> (etc. 3 to 5 times).
\end{verbatim}
This keyword is used to define or redefine a surface. It is a more convenient way to define a surface than the command \htmlref{gsur}{gsur}. Either individual lines or a set of lines (including optionally one shape or nurs) can be specified. To be meshable with structured elements it requires 3, 4 or 5 edges (lines or lcmbs). To be meshable with tr3u or tr6u it requires either to be planar or to reference a shape or nurbs which can be provided also in a second call with this command. The mouse controlled way to define surfaces is to use the command \htmlref{qsur}{qsur}.
If the name of the surface should be automatically generated, then just type ''\verb_!_'' instead of a name. See also ``\htmlref{gsur}{gsur}'' which allows the assignment of a shape or ``\htmlref{qshp}{qshp}'' which allows the interactive assignment of a shape or nurbs to a surface.
\subsection{\label{swep}swep}
\begin{verbatim}
'swep' <set> <set> ['scal' <fx> <fy> <fz> <P0>|<div> [a] ]|
['tra' <dx> <dy> <dz> <div> [a] ]|
['rot' <p1> <p2> <alfa> <div> [a|&n] ]|
['rot' 'x'|'y'|'z' <alfa> <div> [a|&n] ]|
['rot' <p1> 'x'|'y'|'z' <alfa> <div> [a|&n] ]|
['rad' <p1> <p2> <dr> <div> [a] ]|
['rad' 'x'|'y'|'z'|'p'<pnt> <dr> <div> [a] ]|
['rad' <p1> 'x'|'y'|'z' <dr> <div> [a] ]|
['nor' <dr> <div> [a] ]|
['mir' <P1> <P2> <div> [a] ]|
['mir' 'x'|'y'|'z' <div> [a] ]|
['mir' <P1> 'x'|'y'|'z' <div> [a] ]
\end{verbatim}
This keyword is used to sweep entities into the next higher dimension. Sweeping a point will create a line, sweeping a line will create a surface and sweeping a surface will create a body. Shell elements will be expanded into Volume elements. The 'div' parameter defines how much elements will be created in the sweep direction. Existing results will be applied to the new nodes. Important: The ``\htmlref{trfm}{trfm}'' command must be used after the sweep operation and not before.
At first a copy of the first set (see \htmlref{seta}{seta} and \htmlref{copy}{copy}) will be created. The copy of the master-set is included in the second set. Then the connecting lines and surfaces are created and at last the bodies. The divisions of the new lines between set1 and set2 is specified with the parameter ''div'' or the default is used. Existing sets are extended by the copied entities if the last parameter includes the character ``a'' (append). Rotational sweeped lines create nurbs related surfaces if the last parameter includes the character ``n''. Several transformations are available. For example scal creates a scaled copy, the scaling factors fx, fy, fz could be chosen independently,\\\\
swep part1 part2 scal 2 \\
swep part1 part2 scal 1 1 2 P0\\\\
tra will create a copy and will move it away by the vector dx, dy, dz and the optional parameter 'a' will assign the new entities to sets were the mother of each entity is included (see ``\htmlref{setl}{setl}'' on how to lock and therefore exclude certain sets from that behaviour),\\\\
swep set1 set2 tra 10 20 30 a\\\\
nurbs related surfaces will be created if ``a'' is followed by ``n'' or a sole ``n'' is used in a rotational sweep,\\\\
swep set1 set2 rot 10 20 30 an\\\\
rot will create a copy and will move it around the axis defined by the points p1 and p2 by 'alfa' degrees (the connecting lines will be of type arc below 180 deg, above a spline),\\\\
swep set1 set2 rot p0 px 20.\\\\
or the axis of rotation is given by specifying one of the basis coordinate axes:
swep set1 set2 rot x 20.\\\\
or just one point and a vector of rotation is given by specifying one of the basis coordinate axes:
swep set1 set2 rot p1 x 20.\\\\
rad will create a copy and uses the same transformation options as 'rot' or will create a spherical section if just a single point is defined (be aware of the mandatory 'p' in front of the point name),\\\\
swep sphere1 sphere2 rad pP0 10.\\\\
nor will create a copy and will move it away in the direction of the averaged normal local vector. This requires information about the normal direction for each entity. Nodes will use associated element faces and geometric entities will use the element faces, surfaces or shapes which must be stored with them in the set1. It should be noted that faces from volume elements stored in set1 will be used to generate shell elements. This elements will then be extruded in normal direction into 3D elements,\\\\
swep set1 set2 nor 1.2 6 a\\\\
mir will create a mirrored copy. The mirror-plane is placed normal to the direction running from P1 to P2 and placed at P2,\\\\
swep section1 section2 mir p1 p2\\\\
as with 'rot and 'rad' additional transformation options are available:\\\\
swep section1 section2 mir P1 x\\\\
places the mirror at P1 with its normal direction in 'x' direction\\\\
swep section1 section2 mir x\\\\
Places the mirror in the origin with its normal direction in 'x' direction.
\subsection{\label{sys}sys}
\begin{verbatim}
'sys' <shell-command parameters>
\end{verbatim}
This keyword is used to issue any shell command (unix or dos shell). For example to move files created by the 'send' command to certain file names or/and locations and to start the analysis. On certain platforms cgx will not wait for the completition of the command if the '\&' key was provided as the last argument of the command. Otherwhise cgx waits until the command was completed.\\\\
WARNING:\\\\
If you use CGX to open an untrusted .fbd file downloaded form the internet, it might delete all your files or do whatever it wants as long as cgx has the necessary rights.
Even an honest but carelessly written .fbd file could be destructive if it makes incorrect assumptions about the locations of files. For example, by clearing the contents of a directory to clean up, it might delete important files on someone else's computer.
Therefore before you open a foreign command file (usually with the ending .fbd or .fbl) scan for "sys" and evaluate the command line.
To activate the ``sys'' command permanently add
\begin{verbatim}
'allow_sys'
\end{verbatim}
in your configuration file ('.cgx' in your home directory).
\subsection{\label{test}test}
\begin{verbatim}
'test' ['d'|'v'|'n'|'e'|'p'|'l'|'c'|'s'|'b'|->
'S'|'L'|'se'|'sh' <entity-name>]
['i' <set1> <set2>]
['o' <set>|<node>]
\end{verbatim}
A boolean opperation. Usually tests the existence of a given entity (watch the '\verb_\_' which prevents the value beeing replaced by its content!):\\\\test v \verb_\_value\\\\And it checks if at least one node included in set1 is inside the elements included in set2:\\\\test i nodeset elemset\\\\Or it tests the observability 'o' of a certain node under the given orientation of the model. The node can be given as a member of a set or directly by its node-nr. The command returns TRUE or FALSE and writes it to the ''\htmlref{stack}{stack}''.
\subsection{\label{thrs}thrs}
\begin{verbatim}
'thrs' <value> 'h'|'l'|'o' ['t']
\end{verbatim}
Compiles all nodes which values of the actual dataset are above (h) or below (l) the given value (stored in set '+THRS'). The related elements are collected as well. All unconnected element-clusters from that set together with their related nodes are stored in separate sets (+grp1..+grpn). This sets are displayed in a certain mode were only the edges are visible (see ``\htmlref{view}{view}''):\\\\thrs 600. h\\\\
When the parameter 't' is used the local nodes referencing maximum or minimum values are stored in additional separate sets (+grpN1..+grpNn) and displayed in addition:\\\\thrs 600. h t\\\\This node attached texts can be manipulated with ``\htmlref{qtxt}{qtxt}''
To display the full model again in the filled mode:\\\\thrs o\\\\
\subsection{\label{tra}tra}
\begin{verbatim}
'tra' 'f'|'u'|'d'|'l'|'r' <relative-distance>
\end{verbatim}
This keyword is used to move the model in the window. For example\\\\tra u .1\\\\will move the model 0.1 times the model dimensions upwards. The meaning of the other letters is forward f, down d, right r, left l.
\subsection{\label{trfm}trfm}
\begin{verbatim}
'trfm' 'rec'|'cyl' ['x'|'y'|'z'] ->
[<first-Dataset-Nr> [<last-Dataset-Nr>]]
\end{verbatim}
Changes dataset entities from one coordinate system to another. The option
'cyl' transforms the global results to cylindrical and 'rec' from cylindrical
to global cartesian. In both cases the axis of the cylindrical system must be
provided. Optionally the first and the last dataset of a range of a unique
type can be specified. The current dataset is selected if no dataset is
specified. In any case a dataset parameter will be created which stores the type of the applied transformation. It will show up after re-selecting the dataset in the menu entry 'dataset-\verb_>_entity-\verb_>_parameter' and will be written by the ''\htmlref{send}{send}'' command if the frd-format is used (see also ''\htmlref{ds}{ds}'' and \htmlref{Parameter Header Record}{Parameter Header Record}).
The transformation into the cylindrical system takes place in a way that tensors and vectors are transformed into a new local cartesian system which is alligned with the directions of a true cylindrical system. In this way the dimensions are maintained (for example the displacement in angular direction is not transformed into an angle but into a displacement in tangential direction).
The transformation from a cylindrical into a cartesian system works accordingly. Therefore successive "cyl" and "rec" commands are permitted. This command sequence can be used to rotate the model with its datasets in the correct way which means that all results are also rotated.
Example; Choose the desired dataset (and an entity) with the menu or the 'ds' command. Then type\\\\
trfm cyl z\\\\
to transform the dataset from a rectangular system into a cylindrical around the global z axis. Type\\\\
trfm rec z\\\\
to transform from cylindrical (which exists after the first call) to
the rectangular system (which re-produces the original values).
To transform several datasets of the same type (!) at once:\\\\
trfm rec z 1 10000\\\\
This command transforms all datasets starting with the first to the last if the
last dataset has a number below 10001 (but only the ones of the same type as
the 1st!).
\subsection{\label{txt}txt}
\begin{verbatim}
'txt' <set>|<node> ['n'|&'v'|&'e'|&'t'|&'f'|&'i'|&'s'] ->
[<x> <y>] [<"text">]
\end{verbatim}
Creates node-attached texts (showing node-number, value and eventually an user defined text, see figure
\ref{qtxtp}) in the drawing area. The optional dx,dy values define an offset (normalized coordinates) to the actual node position on the screen where the origin is in the lower left corner:\\\\txt nodset 0.1 0.2\\\\
The texts are attached to the related nodes if no offset is specified;\\\\txt nodset\\\\or to a single node:\\\\txt nodenr\\\\
The texts comprise of a node-nr and the value and an user defined text. The user defined text must be given in quotation marks:\\\\txt nodenr ``hello wold''\\\\
The node-nr can be deselected by providing the key 'n', the value can be deselected with key 'v' and the text with key 't'. The exponential format of the value can be selected with 'e', float with 'f' and integer with 'i':\\\\txt nodset fn\\\\deselects the node-nr and selects the float format for the value.\\\\txt nodset n 0.1 0.5\\\\deselects the node-nr and places the value at a certain position. Per default the user defined text is placed at the trailing position. The key 's' shifts it to the front.
The texts are generated but not displayed. The commands ''\htmlref{plot}{plot}'' and ''\htmlref{plus}{plus}'' can be used for that purpose. The texts can be deleted with ''\htmlref{del}{del}''. See also ''\htmlref{qtxt}{qtxt}'' for the interactive command.
\subsection{\label{typs}typs}
\begin{verbatim}
'typs'
\end{verbatim}
The result format (frd) allows to assign element types. One element can only belong to one type. This command creates sets and stores all elements of a certain type in a certain set called ``+typ[nr]''. See ``\htmlref{Element Definition Block}{Element Definition Block}'' how this applies to the result format (frd).
\subsection{\label{ucut}ucut}
\begin{verbatim}
'ucut'
\end{verbatim}
If a section through the mesh was created with the "\htmlref{cut}{cut}" or "\htmlref{qcut}{qcut}" command then this command will delete the cut and display the un-cutted structure.
\subsection{\label{ulin}ulin}
\begin{verbatim}
'ulin' <string>
\end{verbatim}
This keyword is used to define an underline. This commend will show up in the
menu area of the main window below the file name. The filename can be overwritten with "\htmlref{capt}{capt}".
\subsection{\label{val}val}
\begin{verbatim}
'val' (The parameters are the same as for 'valu'->
except that masking with '\' is supported)
\end{verbatim}
This command has the same functionality and accepts the same parameters as ``\htmlref{valu}{valu}'' with one exception: The cgx command parser will substitute the parameters by previously defined values before the 'val' command itself is executed. The substitution can be suppressed with a leading '\textbackslash{}' before a parameter. During execution it will again scan each parameter for expressions which match the name of a value and will replace the parameter by the content of the value. This way two steps of substitutions of nested values are possible:
\begin{verbatim}
valu a b
valu b 1.
# with valu only one substitution step is performed:
valu c a
prnt v c
-> b
# with val two substitution steps are performed:
del v \c
val c a
prnt v c
-> 1.
\end{verbatim}
Please study the example ''\htmlref{Data storage in a user dataset}{Data storage in a user dataset}''.
\subsection{\label{valu}valu}
\begin{verbatim}
'valu' <[!]name> [['push' [<splitkey>]]|['pop' [nr]]] | ->
[<value> ['?' [<\"string\">]] | ->
['&'|'*'|'/'|'+'|'-'|'abs'|'max'|'min'|'pow'|->
'sqr'|'sin'|'cos'|'tan'|'asin'|'acos'|'atan'| ->
'int'|'float'|'exp' [name|<const> name|<const>]] ]
\end{verbatim}
WARNING: With that command the meaning of a command can be changed and unintended effects are possible. For example if the character 'l' is used as a value it is not longer possible to use the 'plot' command to display lines without masking the 'l'. So it is a good idea to use only names using several characters and avoid the names of existing commands.
This command generates an entity (called value) which basically stores a string of characters. Most characters are valid but no white-spaces are accepted from the command line. The command allows simple calculations and string operations. It is able to read from- and write to the stack.
The cgx command parser will scan each parameter of each command for expressions which match the name of a value and will replace the parameter by the content of the value. After that the command is executed. For example\\\\pnt P0 xvalue 0. 0.\\\\uses the value 'xvalue'. If the user has previously defined the value with:\\\\valu xvalue 1.24\\\\then the command-parser will replace 'xvalue' by '1.24' in the 'pnt' command.
For convenience this general substitution works for all commands except the 'valu' command! The command parser will not scan the parameters of the 'valu' command and will not substitute them. Instead this substitution is performed by the 'valu' command itself. The command does not treat its own name as a value and will not substitute it by previously defined values. Therefore nested levels of 'values' are not solved. However if this functionality is needed the ``\htmlref{val}{val}'' command can be used.\\\\
ATTENTION: To suppress the substitution of a certain value it has to be masked by a leading '\textbackslash{}'. For example the command:\\\\del v \textbackslash{}xvalue\\\\will delete the value xvalue itself. Without the masking xvalue would be replaced by its content '1.24' and since no value named '1.24' exists, nothing will happen.
The content of a value can be defined by the user\\\\valu arg1 1.24\\\\or derived from the stack previously filled by a command\\\\valu arg1 pop\\\\if the ''\htmlref{stack}{stack}'' was activated. A certain number on the stack can be addressed with\\\\valu arg1 pop 2\\\\were the '2' means that 2 successive 'pops' are executed. In this way the second value on the stack can be loaded at once.
Values can be added to a set\\\\ seta valset v all\\\\and can then be deleted by zapping ``\htmlref{zap}{zap}'' the set storing the values.
Values can be written to the stack when the 'push' parameter is used:\\\\valu arg1 push\\\\A white-space separated string stored in a ``\htmlref{valu}{valu}'' will be written to the stack in separate sub-strings. With this method single pieces of a white-space separated string can be splitted and stored in separate values:\\\\stack on\\\\opens the stack\\\\valu complicatedString push\\\\splits the string stored in 'complicatedString' and writes the single pieces to the stack. The command \\\\valu subString pop 3\\\\loads the 3rd substring into the varible 'subString'. Other splitting characters can be used when this character follows the push key-word:\\\\valu string push .\\\\splits the string at each occurence of ``.'' and writes the pieces to the stack.
The command is able to perform simple calculations like\\\\valu result * arg1 arg2\\\\'result' will store the product from 'arg1' and 'arg2'. The two arguments arg1 and arg2 may be other 'values' or constant numbers. That means that a direct multiplication of two numbers or a value with a number is possible. During the calulation the strings are converted to double precision numbers and the result is stored as a string representing an exponential number. The 'int', 'float' and 'exp' convert between integer, floating point and exponential format:\\\\valu result int result\\\\
The '\verb_?_' operator is used to request user input:\\\\valu string \verb_?_ ``user message:''\\\\The command presents the user message (between apostrophes) and waits for user input. Please type into the terminal. Usually this requires to leave the graphics window and click into the terminal from which cgx was started.
The '\verb_&_' operator is used to concatenate two strings:\\\\valu string3 \verb_&_ string1 string2\\\\The string1 and string2 might be values or constant strings.
The values are written to the fbd file unless its name starts with a '\verb_!_'.
The sections ''\htmlref{How to write values to a file}{How to write values to a file}'', ''\htmlref{How to process results}{How to process results}'' and ''\htmlref{How to generate a user dataset}{How to generate a user dataset}'' explain more about the use of values.
\subsection{\label{view}view}
\begin{verbatim}
'view' 'fill'|'line'|'point' [<value>]|'cl' 'off'|
'edge' [<value>|'off']|'elem' ['off']|'surf'|'volu'|
'front'|'back'|'vec' ['off']|'disp' ['off'|'keep']|
'bg' ['w'|'k']|'sh' ['off']|'ill' ['off']|'rul' ['off'|<string>]
\end{verbatim}
Command to control the graphic output. This command is intended for batch-mode. See also ''\htmlref{Viewing}{Viewing}'' for the menu controlled functions.
\begin{itemize}
\item ''cl'' The command line is shown in the graphic's window.
\item ''fill'' Element-faces are filled
\item ''line'' Elements are displayed as fireframes
\item ''point'' Element-edges are displayed as points with a pixel-width of 'value'
\item ''edge'' triggers the display of the model edges with a pixel-width of 'value'
\item ''elem'' triggers the display of the element edges. They are deselected with the additional parameter ''off''.
\item ''surf'' and ''volu'' are used to display the structure either only by it's outer skin (surf) or by drawing all elements (volu). \item ''front'' and ''back'' define which side of the structure should be drawn. Either the side which faces the user or the back-side. If the back-side is displayed then internal structures are visible.
\item ''vec'' triggers the vector mode. All vector-entities like displacements are displayed with arrows pointing in the direction of the vector and with a length proportional to the value of the vector. See ''\htmlref{Toggle Vector-Plot}{Toggle Vector-Plot}'' for a detailed description of the equivalent menu-function.
\item ''disp'' will show the deformed structure based on a formerly selected displacement dataset (no entity must be selected). See ''\htmlref{Toggle Add-Displacement}{Toggle Add-Displacement}'' for a detailed description of the equivalent menu-function. Switched off with ”off”. Or add the displacements permanently with ``keep''. Now a second displacement dataset could be added. Be aware that the scaling of the displacement must be done after the 'view disp' command and before the 'view disp keep' command.
\item ''bg'' Without second parameter toggles the background colour. The second parameter 'w' forces white while the parameter 'k' forces black as background colour.
\item ''sh'' Shaded results are shown. Switched off with ''off''.
\item ''ill'' Illuminale the backface of the elements. Switched off with ''off''.
\item ''rul'' triggers the display of a ruler bar. Switched off with ''off''. A string containing the unit can be given: ``view rul mm''.
\end{itemize}
\subsection{\label{volu}volu}
\begin{verbatim}
'volu' <set>
\end{verbatim}
This keyword is used to calculate the volume and the center of gravity of a set of volume-elements. If an ccx-input file with density data was read then the mass will be also calculated. If a 'dataset' is active then an averaged value is calculated.
The command writes to the ''\htmlref{stack}{stack}''.
\subsection{\label{while}while}
\begin{verbatim}
'while' <value>|<const> 'eq'|'ne'|'=='|'!='|'<'|'>' <value>|<const>
\end{verbatim}
A command to compare two values ('valu' or constant numbers). If the compare is True the following commands are executed until the 'endwhile' command is found. This procedure is repeated until the compare is False.
\\\\while arg1 == arg2\\\\will repeat the commands between 'while' and 'endwhile' until the numerical value stored in 'arg1' is not equal to the numerical value stored in value 'arg2'. The values are locally converted to 'float' format for the numerical comparison. The 'eq' and 'ne' compare strings and should not be used for numerical values since no conversion to a common format is done. Two strings are equal if they have the same length and all characters are equal.
See also ``\htmlref{if}{if}'', ``\htmlref{valu}{valu}'', ``\htmlref{stack}{stack}'' and ``\htmlref{How to run cgx in batch mode}{How to run cgx in batch mode}''.
\subsection{\label{wpos}wpos}
\begin{verbatim}
'wpos' <xp> <yp>
\end{verbatim}
Positions the window on the screen were xp and yp are the coordinates in pixel relative to the left upper corner. This command takes no effect during reading and execution of a batch file. It will be executed in the glut event loop (the glut library \cite{glut} for window management and event handling). The user might store his personal start-up location in the ``.cgx'' file in his home directory.
\subsection{\label{wsize}wsize}
\begin{verbatim}
'wsize' [RETURN]|'f']|[<xp> <yp>]
\end{verbatim}
Size of the window were xp and yp are the size in pixel. Without argument the size is the initial size and with the argument 'f' (fullsize) the screen resolution is used. This command takes ONLY effect during reading and execution of a batch file IF it is written in the very first line. Otherwhise it will be executed after reading of the batch file in the glut event loop (the glut library \cite{glut} for window management and event handling) which means that the program has to go into the interactive mode to take effect. The user might store his personal start-up window size in the ``.cgx'' file in his home directory.
\subsection{\label{zap}zap}
\begin{verbatim}
'zap' <set>
\end{verbatim}
This keyword is used to delete all entities of a set and the set itself. All depending entities will be deleted as well.
\subsection{\label{zoom}zoom}
\begin{verbatim}
'zoom' [<scale>]|[<p1x> <p1y> <p2x> <p2y>]
\end{verbatim}
This keyword is used to scale the model in the window. For example\\\\zoom 2\\\\will increase the size of the representation of the model by a factor of 2. A certain region of the model can be specified with two corner points of an imaginary rectangle. The coordinates are relative to the graphic-window which has its origin at the left/lower corner and as a fraction of the edge-lengths. For example \\\\zoom 0. 0. 0.5 0.5\\\\will display the third quadrant of the window scaled by a factor of 2.
\newpage
\section{\label{Element Types}Element Types}
Node numbering of the elements and the type numbers used in the Result Format (frd-file). The solvers might use different node-numbering rules.
\begin{picture}(90,90)(0,150)
%
\put(0,0){\epsfig{file=be2.eps,width=9cm} }
\put(100,0){\label{topo_be2} 2 node beam element (be2, type 11) }
\end{picture}
\newpage
\begin{picture}(90,180)(0,330)
%
\put(0,360){\epsfig{file=be3.eps,width=9cm} }
\put(100,330){\label{topo_be3} 3 node beam element (be3, type 12) }
%
\put(0,30){\epsfig{file=tr3.eps,width=10cm} }
\put(100,0){\label{topo_tr3} 3 node shell element (tr3, tr3u, type 7) }
\end{picture}
\newpage
\begin{picture}(90,180)(0,330)
%
\put(0,360){\epsfig{file=tr6.eps,width=10cm} }
\put(100,330){\label{topo_tr6} 6 node shell element (tr6, type 8) }
%
\put(0,30){\epsfig{file=qu4.eps,width=10cm} }
\put(100,0){\label{topo_qu4} 4 node shell element (qu4, type 9) }
\end{picture}
\newpage
\begin{picture}(90,180)(0,330)
%
\put(0,360){\epsfig{file=qu8.eps,width=10cm} }
\put(100,330){\label{topo_qu8} 8 node shell element (qu8, type 10) }
%
\put(0,30){\epsfig{file=te4.eps,width=10cm} }
\put(100,0){\label{topo_te4} 4 node tet element (type 3) }
\end{picture}
\newpage
\begin{picture}(90,180)(0,330)
%
\put(0,310){\epsfig{file=te10.eps,width=10cm} }
\put(100,280){\label{topo_te10} 10 node tet element (type 6) }
%
\put(0,30){\epsfig{file=he8.eps,width=10cm} }
\put(100,0){\label{topo_he8} 8 node brick element (he8, type 1) }
\end{picture}
\newpage
\begin{picture}(90,180)(0,330)
%
\put(0,360){\epsfig{file=he20.eps,width=10cm} }
\put(100,330){\label{topo_he20} 20 node brick element (he20, type 4) }
%
\put(0,30){\epsfig{file=pe6.eps,width=6cm} }
\put(100,0){\label{topo_pe6} 6 node penta element (pe6, type 2) }
\end{picture}
\newpage
\begin{picture}(90,180)(0,330)
%
\put(0,360){\epsfig{file=pe15.eps,width=6cm} }
\put(100,330){\label{topo_pe15} 15 node penta element (pe15, type 5) }
\end{picture}
\section{\label{Result Format}Result Format}
Listing of the mesh- and the nodal results format. The data are stored in fixed format. Node-, element-definitions and results might be in ascii or binary coding. The ascii format is able to store element- and node-numbers up to '99999' in the short form or up to '9999999999' in the long form. An example for the short form is shown below:
\begin{verbatim}
> 1Ctest !''1C'' defines a new calc of name ''test''
> 1UDATE 26.01.2000 !''1U'' stores user job-informations
> 2C !''2C'' starts a block of node coordinates
> -1 1 0.00000E+00 0.00000E+00 0.00000E+00 ! 1. node
> -1 2 0.10000E+01 0.00000E+00 0.00000E+00 ! 2. node ....
> -3 !end of the current block
> 3C !''3C'' starts a block of elem definitions
> -1 1 4 0 0!first elem, type of that elem is 4 (he20)
> -2 1 2 3 4 13 14 15 16 5 6 7 8 ..
> -2 12 17 18 19 20 !twenty nodes defining that element
> -1 ...
> -2 ...
> -2 ...
> -3 !end of the current block
> 1PHID 10 !defines a parameter HID value 10
> 100CL101 !''100C'' starts a user defined result block
> -4 DISP 3 1 !Attribute Header Record (Dataset)
> -5 D1 1 2 1 0 !Component Def. Record (Entity)
> -5 D2 1 2 2 0
> -5 D3 1 2 3 0
> -1 1 0.00000E+00 1.00000E+00 1.00000E+00 !Nodal Values
> -1 2 1.00000E+00 0.00000E+00 0.00000E+00
> -3 !end of the current block
> 9999 !end of data
\end{verbatim}
The binary format applys only for data lines and the ``end of the current block'' line (-3), which is omitted.
All other lines are the same.
\subsection{\label{Model Header Record}Model Header Record}
To access the data use ``\htmlref{prnt}{prnt} info''.
\begin{verbatim}
Purpose: Defines the name of the model
Format:(1X,' 1','C',A6)
Values: KEY, CODE, NAME
\end{verbatim}
\subsection{\label{User Header Record}User Header Record}
To access the data use ``\htmlref{prnt}{prnt} usr''.
To manipulate data use ``\htmlref{asgn}{asgn} usr''.
\begin{verbatim}
Purpose: Stores additional user informations regarding the job
ie. user id, creation date, model informations
Format:(1X,' 1','U',A66)
Values: KEY, CODE, STRING
\end{verbatim}
\subsection{\label{Nodal Point Coordinate Block}Nodal Point Coordinate Block}
Nodes can be written with the ``\htmlref{node}{node}'' command.
\begin{verbatim}
Purpose: Defines the nodal coordinates
1. Record:
Format:(1X,' 2','C',18X,I12,37X,I1)
Values: KEY, CODE,NUMNOD, FORMAT
Where: KEY = 2
CODE = C
NUMNOD = Number of nodes in this block
FORMAT = Format indicator
0 short format
1 long format
2 binary format, coordinates float
3 binary format, coordinates double
Following records (ascci, FORMAT=0 | 1):
Short Format:(1X,'-1',I5,3E12.5)
Long Format:(1X,'-1',I10,3E12.5)
Values: KEY, NODE, X,Y,Z
Where: KEY = -1
NODE = node number
X.. = coordinates
Following records (binary, FORMAT=2):
Format:(int NCOMPS*float)
int and float are ansi-c data-types
Values: NODE, X,Y,Z
Where:
NODE = node number
X.. = coordinates
Following records (binary, FORMAT=3):
Format:(int NCOMPS*double)
int and double are ansi-c data-types
Values: NODE, X,Y,Z
Where:
NODE = node number
X.. = coordinates
Last Record (only FORMAT=0&1 (ascii), omitted for FORMAT=2&3):
Format:(1X,'-3')
Values: KEY
\end{verbatim}
\subsection{\label{Element Definition Block}Element Definition Block}
Elements can be written with the "\htmlref{elem}{elem}" command.
\begin{verbatim}
Purpose: Defines the topology of the elements
1. Record:
Format:(1X,' 3','C',18X,I12,37X,I1)
Values: KEY, CODE,NUMELEM, FORMAT
Where: KEY = 3
CODE = C
NUMELEM= Number of elements in this block
FORMAT = Format indicator
0 short format
1 long format
2 binary format
Following records (ascci, FORMAT=0 | 1):
The following block of records must be repeated for each element:
The first record initializes an element definition:
Short Format:(1X,'-1',I5,3I5)
Long Format:(1X,'-1',I10,3I5)
Values: KEY, ELEMENT, TYPE, GROUP, MATERIAL
Where: KEY = -1
ELEMENT = element number
TYPE = element type, see section ''Element Types''
and command ''typs''
GROUP = element group number, see command ''grps''
MATERIAL= element material number, see command ''mats''.
Then the nodes in the correct order have to follow:
Short Format:(1X,'-2',15I5)
Long Format:(1X,'-2',10I10)
Values: KEY,NODE,NODE,NODE,NODE, ...
Where: KEY = -2
NODE = node number
Additional lines must follow if more nodes are used.
Following records (binary, FORMAT=2):
Format:(4*int nodes*int)
int and float are ansi-c data-types
Values: ELEMENT, TYPE, GROUP, MATERIAL,NODE,NODE,NODE,NODE, ...
Where:
ELEMENT= element number
TYPE = element type, see section ''Element Types''
and command ''typs''
GROUP = element group number, see command ''grps''
MATERIAL= element material number, see command ''mats''.
NODE = node number
Last Record (only FORMAT=0 | 1 (ascii), omitted for FORMAT=2):
Format:(1X,'-3')
Values: KEY
\end{verbatim}
\subsection{\label{Parameter Header Record}Parameter Header Record}
To access the data use ``\htmlref{prnt}{prnt} par''.
To manipulate data use ``\htmlref{ds}{ds}'' option r.
\begin{verbatim}
Purpose: Stores informations related to datasets.
ie. bondary conditions and loads
They should consist of a keyword and a value
Format:(1X,' 1','P',A66)
Values: KEY, CODE, STRING
Where: KEY = 1
CODE = P
STRING = Keyword Value (ie: FORCE 1000.)
\end{verbatim}
\subsection{\label{Nodal Results Block}Nodal Results Block}
To access the data use ``\htmlref{ds}{ds}''. This command is also used to modify or create datasets. Values at nodes can be written with the ``\htmlref{node}{node}'' command.
\begin{verbatim}
Purpose: Stores values on node positions
1. Record:
Format:(1X,' 100','C',6A1,E12.5,I12,20A1,I2,I5,10A1,I2)
Values: KEY,CODE,SETNAME,VALUE,NUMNOD,TEXT,ICTYPE,NUMSTP,ANALYS,
FORMAT
Where: KEY = 100
CODE = C
SETNAME= Name (not used)
VALUE = Could be frequency, time or any numerical value
NUMNOD = Number of nodes in this nodal results block
TEXT = Any text
ICTYPE = Analysis type
0 static
1 time step
2 frequency
3 load step
4 user named
NUMSTP = Step number
ANALYS = Type of analysis (description)
FORMAT = Format indicator
0 short format
1 long format
2 binary format, values float
3 binary format, values double
2. Record:
Format:(1X,I2,2X,8A1,2I5)
Values: KEY, NAME, NCOMPS, IRTYPE
Where: KEY = -4
NAME = Dataset name to be used in the menu
NCOMPS = Number of entities
IRTYPE = 1 Nodal data, material independent
2 Nodal data, material dependant
3 Element data at nodes (not used)
3. Type of Record:
Format:(1X,I2,2X,8A1,5I5,8A1)
Values: KEY, NAME, MENU, ICTYPE, ICIND1, ICIND2, IEXIST, ICNAME
Where: KEY = -5
NAME = Entity name to be used in the menu for this comp.
MENU = 1
ICTYPE = Type of entity
1 scalar
2 vector with 3 components
4 matrix
12 vector with 3 amplitudes and 3 phase-angles in
degree
14 tensor with 6 amplitudes and 6 phase-angles in
degree
ICIND1 = sub-component index or row number
ICIND2 = column number for ICTYPE=4
IEXIST = 0 data are provided
1 data are to be calculated by predefined
functions (not used)
2 as 0 but flaged by cgx
ICNAME = Name of the predefined calculation (not used)
ALL calculate the total displacement if ICTYPE=2
This record must be repeated for each entity.
4. Type of Record: (not used)
This record will be necessary in combination with the request for
predefined calculations. This type of record is not allowed in
combination with binary coding of data.
Format:(1X,I2,2I5,20I3)
Values: KEY,IRECTY,NUMCPS,(LSTCPS(I),I=1,NUMCPS)
Where: KEY = -6
IRECTY = Record variant identification number
NUMCPS = Number of components
LSTCPS = For each variant component, the position of the
corresponding component in attribute definition
5. Type of Record:
The following records are data-records and the format is repeated
for each node.
In case of material independent data
- ascii coding:
Following records (ascci, FORMAT=0 | 1):
Short Format:(1X,I2,I5,6E12.5)
Long Format:(1X,I2,I10,6E12.5)
Values: KEY, NODE, XX..
Where: KEY = -1 if its the first line of data for a given node
-2 if its a continuation line
NODE = node number or blank if KEY=-2
XX.. = data
- binary coding:
Following records (ascci, FORMAT=2):
(int,NCOMPS*float)
int and float are ansi-c data-types
Following records (ascci, FORMAT=3):
(int,NCOMPS*double)
int, float and double are ansi-c data-types
Values: NODE, XX..
Where:
NODE = node number
XX.. = data
In case of material dependant data
REMARK: Implemented only for NMATS=1
- first line:
Short Format:(1X,I2,4I5)
Long Format:(1X,I2,I10,3I5)
Values: KEY, NODENR, NMATS
Where: KEY = -1
NODENR = Node number
NMATS = Number of different materials at this node(unused)
- second and following lines:
Short Format:(1X,I2,I5,6E12.5)
Long Format:(1X,I2,I10,6E12.5)
Values: KEY, MAT, XX, YY, ZZ, XY, YZ, ZX ..
Where: KEY = -2
MAT = material-property-number if KEY=-2 (unused)
XX.. = data
Last Record (only FORMAT=0 | 1 (ascii), omitted for FORMAT=2):
Format:(1X,'-3')
Values: KEY
\end{verbatim}
\section{\label{Pre-defined Calculations}Pre-defined Calculations}
Listing of the automatically calculated additional results.
\subsection{\label{Von Mises Equivalent Stress}Von Mises Equivalent Stress}
Entity name: Mises\\
\[ \sigma_{vM} = \frac{1}{\sqrt{2}} \sqrt{(\sigma_{x}-\sigma_{y})^{2}+(\sigma_{y}-\sigma_{z})^{2}+(\sigma_{z}-\sigma_{x})^{2}+6\tau_{yz}^{2}+6\tau_{zx}^{2}+6\tau_{xy}^{2}} \]
\subsection{\label{Von Mises Equivalent Strain}Von Mises Equivalent Strain}
Entity name: Mises\\
\[ \epsilon_{vM} = 2/3 * \frac{1}{\sqrt{2}} \sqrt{(\epsilon_{x}-\epsilon_{y})^{2}+(\epsilon_{y}-\epsilon_{z})^{2}+(\epsilon_{z}-\epsilon_{x})^{2}+6\epsilon_{yz}^{2}+6\epsilon_{zx}^{2}+6\epsilon_{xy}^{2}} \]
\subsection{\label{Principal Stresses}Principal Stresses}
Entity names: PS1, PS2, PS3, worstPS\\\\
The principal stresses $\sigma$ are named PS1, PS2, PS3. From the three principal stresses $\sigma$ the absolute maximum value will be calculated and named worstPS. For example if a node has the three values 100, 0 and -110 MPa then -110 MPa would be shown. The three principal stresses $\sigma_{1}$ $\sigma_{2}$ $\sigma_{3}$ are derived from the following equation:
\[
\left [
\begin{array}{ccc}
\sigma_{xx}-\lambda & \sigma_{xy} & \sigma_{xz}\\
\sigma_{yx} & \sigma_{yy}-\lambda & \sigma_{yz}\\
\sigma_{zx} & \sigma_{zy} & \sigma_{zz}-\lambda
\end{array}
\right ]
\left [
\begin{array}{c}
nx\\
ny\\
nz
\end{array}
\right ]
=
\left [
\begin{array}{c}
0\\
0\\
0
\end{array}
\right ]
\]
They are given by the three roots of the equation (stress tensor is symmetric: $\sigma_{xy}$ = $\sigma_{yx}$ etc.):
\[ \sigma^3 - (\sigma_{xx}+\sigma_{yy}+\sigma_{zz})\sigma^2 + (\sigma_{xx}\sigma_{yy}+\sigma_{yy}\sigma_{zz}+\sigma_{zz}\sigma_{xx}-\sigma_{xy}^2-\sigma_{yz}^2-\]\[\sigma_{zx}^2)\sigma - (\sigma_{xx}\sigma_{yy}\sigma_{zz}+2\sigma_{xy}\sigma_{yz}\sigma_{zx}-\sigma_{xx}\sigma_{yz}^2-\sigma_{yy}\sigma_{zx}^2-\sigma_{zz}\sigma_{xy}^2) = 0 \]
\subsection{\label{Principal Strains}Principal Strains}
The same algorithm is applied to the strain tensor as outlined for the stress in ''\htmlref{Principal Stresses}{Principal Stresses}''.
\subsection{\label{maxShear Stress}maxShear Stresses}
Entity name: maxShear\\
This is the maximum shear-stress:
\[ maxShear = 0.5 * max( (\sigma_{1} - \sigma_{3}),(\sigma_{1} - \sigma_{2}),(\sigma_{2} - \sigma_{3}) )\]
\subsection{\label{Cylindrical Stresses}Cylindrical Stresses}
Entity names: SXX, STT, SRR, SXT, STR, SRX\\\\
The Cylindrical Stresses are truly cartesin stresses in a cylindrical system regarding the node-position relative to the axis of the cylindrical system. The stress-tensor is rotated individually for each node. They are calculated on demand (see \htmlref{trfm}{trfm}).
\subsection{\label{Weighted Error}Weighted Error}
Entity name: vMR\\
The element stress gradient based estimated error (requested with 'ERR' in
ccx) is multiplied by the vMises ratio:
\[ vMR = STR * vMisesStress(node) / vMisesStress(model)\]
\section{\label{Meshing rules}Meshing rules}
The mesher geneates at first nodes on points and then on lines between its end points. That means that a line which is supposed to be meshed with a 3 node beam element generates and references only 1 node! Then nodes in the interior of surfaces are generated. So when a surface is made of 4 lines with each of a division of 2 then the surface generates and references just one node! At last the bodies generate nodes in its interior. Again, if the body uses 6 surfaces as described before it generates and references only one node. If such a body is stored in a set and the user needs all nodes which are used by it, it is necessary to extend the set by the points, lines and surfaces which are used by the body. Their nodes are then also referenced by the set. This can be done with the ``\htmlref{comp}{comp}'' command. The same logic is used when creating the elements (surfaces generate shell elements and reference them, bodies generate volume elements).
If a tet mesh is required and the user meshes at first the surfaces and then generates the tet elements using the command ``\htmlref{mesh}{mesh} 'setname' tet'' only the 'setname' and the set 'all' reference the tet elements and the newly generated additional nodes!
The way the mesher works has the consequence that only bodies who share a single common surface are connected at each node were they touch each other. Three surfaces with their points and lines are shown in figure \ref{unconnectedBodies}. When sweeping this surfaces in 'y' direction three bodies will be generated. The line L006 generates a surface between the bodies at the position of A001 and A002. Both bodies will reference this surface and will therefore share its nodes. So all elements will be connected at that location. But a body using the surface A005 will use a surface generated by the combined line of L001 and L002 extruded in 'y' direction! This surface will not be used by the bodies generated by A001 and A002 since they will use the surfaces generated by the separately extruded lines L001 and L002. So bodies at the position of A001 and A005 will share the nodes of the common lines and points but not of the new surfaces at the location of line L001 (and not at the location of the new line at point D002). In the end at some inner locations gaps will exist.
\begin{figure}[h]
\epsfig{file=unconnectedBodies.eps,width=12cm}
\caption{\label{unconnectedBodies} unconnected bodies}
\end{figure}
Some rules must be fulfilled before a geometry is meshable (see \htmlref{mesh}{mesh}). For linear elements (ie. qu4 or he8), the sum of all divisions (see \htmlref{div}{div}) of each surface must be even. In case of quadratic elements (ie. qu8 or he20) this sum must be divisible by 4 without residue. Opposite edges of a given surface might have different divisions. For example on the left side of a given surface the division is 8 and on the right side it is only 4. But only two opposite surfaces of a body can use this feature. These surfaces are called top and bottom surfaces. All other surfaces of this body must have unique divisions on opposite edges. In case of 3 sided surfaces it is necessary to apply a minimum division sufficient for two elements along the edge. The only exception is the element tr3u (see \htmlref{elty}{elty}) which allows a division of one.
A body can not be meshed when the shape of the body is very far from being brick-like. The body might be subdivided to improve the shapes of the single ones. There is a restriction for the definition of five- or seven-sided bodies. The first two surfaces in the body-topology (see \htmlref{gbod}{gbod}) have to be defined in the same order. That means the first line of the first surface has to be connected with the first line in the second surface by one of the remaining surfaces. This is always the case if the body is a product of a ''\htmlref{swep}{swep}'' command.
\section{\label{User-Functions}User-Functions}
The user might define his own functions to manipulate the mesh or the results with the user function stored in file ''userFunction.c''. See the command ''\htmlref{call}{call}'' how to call a user function. The user can generate new nodes, elements or datasets or extend or manipulate existing datasets or interfaces to other software. The file ''userFunction.c'' includes an example which calculates the hydrostatic stress and stores the result in a new dataset. There the user can see how to deal with datasets. In case the user has no access to a compiler he may solve his task by using the in build command language. The section ``\htmlref{User File Parser}{User File Parser}'' can be used as an example.
\begin{appendix}
\section{\label{Known Problems}Known Problems}
\subsection{\label{Program does not show the geometry after startup}Program does not show the geometry after startup}
If no 'plot' or 'plus' commands are included in the command files (fbd or fbl files) then nothing might be visible after startup. Pleas use the plot command 'plot l all' and 'frame'.
\subsection{\label{Program is not responding}Program is not responding}
If the program seems to hang then leave the window with the mouse pointer and go in again. If that does not help then probably a command is waiting for input. Stay with the mouse pointer inside the window and press the ''q'' key several times. Another very popular error is to move the mouse-pointer into the konsole were the typed commands and the protocol is visible. Please, the mouse-pointer MUST stay in the main-window during typing! The user might use the menu fuction ``Toggle CommandLine'' or the command ``\htmlref{view}{view} cl'' to switch the command line from the konsole to the graphic's window.
\subsection{\label{Program generates a segmentation fault}Program generates a segmentation fault}
Write a mail to the author and, if possible, add the input-file.\cite{cgx}.
\section{\label{Tips and Hints}Tips and Hints}
The following collection will give you background information and procedures to deal with common situations.
\subsection{\label{How to change the format of the movie file}How to change the format of the movie file}
Use a shell command like convert to split up movie.gif with multiple
layers into multiple frames, as seperate jpeg files:
\begin{verbatim}
convert movie.gif %d.jpg
\end{verbatim}
Convert any series of multiple jpeg files into WMV format with:
\begin{verbatim}
mencoder mf://*.jpg -mf w=800:h=600:fps=25:type=jpg -ovc lavc -lavcopts
vcodec=wmv2 -o movie.wmv
\end{verbatim}
To convert a video file into avi format use this command:
\begin{verbatim}
mencoder <videofile> -ovc lavc -lavcopts vcodec=flv -of avi -o movie.avi
\end{verbatim}
In general:To convert a video file from one format into the other, use
the program "mencoder". It comes with the mplayer packages.
\begin{verbatim}
mplayer movie.wmv
\end{verbatim}
\subsection{\label{How to get the sets from a geo- or ccx-inp file for post-processing}How to get the sets from a geo- or ccx-inp file for post-processing}
Quite often it is useful to have the already defined sets from the pre-processing or/and the calculation available when doing the post-processing of results. The sets defined in the ccx-input file (.inp) can either be read together with the results (.frd) at start-up:\\\\cgx results.frd input.inp\\\\or the user may read them during run-time\\\\read input.inp nom\\\\ (see ``\htmlref{read}{read}''). When it comes to the sets defined in the geo file a slightly different approach is needed. The geo file must be read before the result file. So the user starts cgx in the build mode\\\\cgx -b geofile.fbd\\\\meshes the model (see ``\htmlref{mesh}{mesh}'') and then read the results\\\\read results.frd nom\\\\and optionally the input file. Be aware that the parameter ``nom'' is essential here. Use ``\htmlref{prnt}{prnt}'' to get an overview over the available sets.
\subsection{\label{How to define a set of entities}How to define a set of entities}
Some knowledge is necessary to efficiently select entities (nodes, points ..). As a golden rule in complicated situations never try to create a set just by ''adding'' the entities to the set (see \htmlref{qadd}{qadd}). It is much better to catch a bigger group which includes certainly the wanted ones. Then display the set with the \htmlref{plot}{plot} command and remove all unwanted entities with the \htmlref{qrem}{qrem} command. Entities are selected if at least one pixel of it is inside the selection rectangle. But there is one exception: Only the lower left corner of any text (names of points etc.) can be selected. Surfaces can also be selected by picking its shaded interiour (see ``\htmlref{rep}{rep})''. You might add all lower entities (as points for example) by typing ''\htmlref{comp}{comp} set do''. This is necessary for example if you had selected surfaces and you want to move them in space. Only points have locations and therefore nothing will happen unless you completed the set by the related points with ''comp'' command.
There is another type of set called sequence. The data-structure is the same but with one exception, the data keep their order in which they were selected. This type of set is used for splines (see ''\htmlref{qlin}{qlin}'' and ''\htmlref{line}{line}'') or in combination with the ''\htmlref{graph}{graph}'' command if values along a path should be displayed. Use ''\htmlref{prnt}{prnt} sq'' to list all existing sequences and use ''\htmlref{qseq}{qseq}'' or ''\htmlref{seqa}{seqa}'' to create them. Up to now they are only used to store nodes and points. As sets they will be written to a file if fbd format is specified. In this case also node-sequences can be stored.
\subsection{\label{How to enquire node numbers and values at certain locations}How to enquire node numbers and values at certain locations}
A very common problem is how to get the exact value on a node position during post-processing. To actually get the value add the element edges to the view (see \htmlref{Toggle Element Edges}{Toggle Element Edges}) and type \htmlref{qenq}{qenq} and press the RETURN key (during typing the mouse-pointer MUST stay in the main window, do NOT move the pointer into the konsole). Then move the mouse-pointer over the location of a node and press the ''n'' key. The node-number, the value at that node and the location will be written in the konsole from which the cgx was started. See also the ''\htmlref{enq}{enq}'' command for batch controlled value extraction.
\subsection{\label{How to select only nodes on the surface}How to select only nodes on the surface}
Some times you need to select nodes only on the surface of the mesh. This can be done when the mesh is displayed in the surface mode (see ''\htmlref{Toggle Surfaces/Volumes}{Toggle Surfaces/Volumes}'') using the menu-entry ''\htmlref{Show Elements With Light}{Show Elements With Light}''. To find node positions more easily add the element edges to the view (see \htmlref{Toggle Element Edges}{Toggle Element Edges}).
A different way uses the element-faces (see ''\htmlref{plot}{plot}'' with parameter ''f''). Store the desired faces in a new set (\htmlref{qadd}{qadd}) and complete the set downwards (``\htmlref{comp}{comp} set do''). Check the selected nodes with ``plot n setname''. Or you add all faces at once in a new set with ``\htmlref{seta}{seta} surfs f all'' before completing the set downwards.
\subsection{\label{How to write values to a file}How to write values to a file}
When you need to write certain values (results) to a file you may use either the ''\htmlref{send}{send}'' command which allows to write results in certain formats or a command file which uses the 'echo' system command in combination with the ``\htmlref{valu}{valu}'' command. The following list shows the general structure of such a command file:
\begin{itemize}
\item Choose the relevant dataset (menu or ds command)
\item Add the relevant node to a set ('qadd setname' or 'seta setname n number')
\item Open the stack: stack on
\item Place node-values on the stack: prnt se setname
\item Store the node: valu nod1 pop
\item Store the value: valu val1 pop
\item Write to file: sys echo Node nod1 Value val1 \verb_>|_ file.txt
\item Or optionally: sys printf (consult the man page for the format) \verb_>|_ file.txt
\end{itemize}
See also ``\htmlref{if}{if}'' and ``\htmlref{while}{while}'' and see the demo in ``\htmlref{If and while demo}{If and while demo}'' on how to work with this commands. They are useful for automatic processing.
\subsection{\label{How to generate a user dataset}How to generate a user dataset}
It is possible to calculate and store new results with the cgx command language. The new dataset and its entities is created with the command ''\htmlref{ds}{ds}''. The data are written with the ''\htmlref{node}{node}'' command to the new dataset. The ''\htmlref{valu}{valu}'' command is used for calculations and data handling. The example ''\htmlref{Data storage in a user dataset}{Data storage in a user dataset}'' determines the normal direction on all nodes on the free surface of the mesh and stores this information in a new dataset. See also the sections ''\htmlref{How to write values to a file}{How to write values to a file}'', ''\htmlref{How to process results}{How to process results}''.
\subsection{\label{How to generate a time-history plot}How to generate a time-history plot}
So called time history plots can be created based on a previous displayed sequence of data-sets (see ''\htmlref{Toggle Dataset Sequence}{Toggle Dataset Sequence}'') with the command ''\htmlref{graph}{graph}''. It is also possible to use only the command line. For example:
\begin{itemize}
\item ds 1 e 3
\item ds 1 2 10
\item graph set t
\end{itemize}
will produce a time history plot for the nodes stored in set over all loadcases from 1 to 10 for the entity nr 3.
Or
\begin{itemize}
\item graph set t DISP D1
\end{itemize}
will display the displacement in direction 1 for all loadcases.
For more details and other options look into the ''\htmlref{graph}{graph}'' command description.
\newpage
\begin{figure}[h]
\epsfig{file=graph.eps,width=9cm}
\caption{\label{graph2D} example of a time-history plot }
\end{figure}
\subsection{\label{How the mesh is related to the geometry}How the mesh is related to the geometry}
Very often you need the embedded nodes, element-faces or elements of geometric entities to apply boundary conditions. If you understand the underlying concept you will be able to get them more easily.
Geometric entities are the mothers of nodes, faces and elements (so to say) and will remember them. In turn if an entity is not the mother of a given mesh-entity it will not remember it. Therefore a body will only know about nodes which are not placed on surfaces, lines or points. A surface will only know about nodes which are not placed on lines or points. And so on.
Therefore if you need the nodes on a surface and not only the ones just inside the surface, then create a set with this surface and do a ''\htmlref{comp}{comp} set do''. This will add the lines and points together with their nodes to the set.
On the other hand if you have only a node and you need the geometric entity in which the node is embedded you might also type ''comp set do''.
\subsection{\label{How to change the order of elements}How to change the order of elements}
Use the command ''\htmlref{mids}{mids}'' to change from second order to first order or vice versa. In this case the amount of elements will not change. Or use the command ''\htmlref{send}{send}'' with the parameter ``quadlin'' to change from second order to first order. But in this case each second order element will be splitted in 8 first order elements.
\subsection{\label{How to connect independent meshes}How to connect independent meshes}
Sometimes it is advisable to ''glue'' independent meshes together instead of trying to create one big seamless-mesh. Or you just want to create a contact formulation were you know that no separation will happen. In this situations you might use equations (also called mpc's) which connect one dependent node with one or more independent nodes. The independent side should be coarser than the dependent side to avoid gaps in the connection. See the command ''\htmlref{send}{send} in combination with the option ''areampc'' how to create such connections. Sliding and fixed contact as well as press-fits can be modelled. The necessary sets should be defined based on geometry not on the mesh. In this case the definition will be stored with the ''save'' or ''exit'' command and can be used after the next program call. If no sets for the connections are at hand you may use the ''\htmlref{neigh}{neigh}'' command to generate them.
Background: The movement of each location in an element (or on its surface) is fully described by the movement of its associated nodes and its shape-function. In an iterative algorithm element-coordinates are varied until the real-world coordinates of a dependent node are matched. Based on the element coordinates the shape function gives the participation (weight) factors of the independent nodes (the coefficients in the mpc's). This approach delivers valid results as long as the dependent node is not located outside of the independent element. Therefore the location of the dependent node has to be modified in such cases. The dependent will be moved to the surface of the independent element (again decribed by its shape-function) and the procedure is repeated.
\begin{figure}[h]
\epsfig{file=equation.eps,width=12cm}
\caption{\label{equation} Dependent node on element face to create a connection }
\end{figure}
\subsection{\label{How to define loads and constraints}How to define loads and constraints}
Loads and constraints are not saved in any database. They are just created and written to a file with the ''\htmlref{send}{send}'' command. But the sets which are needed for the definition are stored together with the geometry if you type the ''\htmlref{save}{save}'' command. Of course the sets must have been defined based on geometry and not based on mesh entities like nodes because mesh-entities are not saved with the ''save'' command. You must know that geometry-sets know also their mesh entities after a ''\htmlref{mesh}{mesh}'' command.
If you store your commands to write the boundary conditions in a file you can easily repeat them by just reading this command-file (see ''\htmlref{read}{read}''). Several types of loads can be applied. That is forces, pressure, thermal-heat-coefficients and radiation etc. For unsupported loads write a set of element-, node- or face-labels (parameter ''names'') and apply the desired load to that set in the solver input-file. Other boundary conditions like single-point-constraints for structural, thermal and fluid-calculations can be written. The sliding condition (parameter ''slide'') were nodes are bound to the element-faces to which they belong can be used for structural calculations or for fluid calculations. In the later case it forces the flow to follow the surface of the elements. This is necessary in inviscid calculations to prevent the fluid to penetrate the walls. Results from a previous calculation can be written in the solver input format for further calculations (parameter ''ds'', ''tmf'' etc.). For example temperatures for thermal mechanic fatigue analysis or velocities, pressures and thermals for a restart of a cfd calculation.
\subsection{\label{How to map loads}How to map loads}
Values at nodes can be mapped (interpolated) from a second mesh with the ''\htmlref{map}{map}'' command (2D and 3D). This second mesh (data source or ``master'') is usually available as a result-file from a previous calculation. The ''\htmlref{read}{read}'' command with the ``add'' parameter can be used to include this file in the current model. Solver-input files (inp) and result files (frd) can be used as a data source. The command will add an offset to the nodes and elements so that existing nodes and elements will not be overwritten. The original mesh is the target or ``slave'' of the mapping process. The mapping process will add the interpolated (mapped) values to the dataset(s) which originated from the master mesh. The mapped values can be visualized by selecting the mapped dataset and entity and then by plotting the slave elements or faces with ``\htmlref{plot}{plot} fv slave''. An example of the necessary commands for the mapping process (surfaces to surfaces) is listed below:
\begin{verbatim}
REMARK: Be aware that you have to create sets of nodes and
faces for surface mapping! They will be called 'master'
and 'slave'
Open the target mesh with cgx.
Define a set with the slave nodes or faces to which values
should be mapped (for example pressure):
qadd slave t10 (here with a tolerance of 10 deg)
comp slave do (to extend the set by the referenced faces or
nodes)
Then open a set and read the model with the values (pressure):
seto source
read result.frd add
setc
If necessary move 'source' in space to match the position of the
'slave' (see ``move'').
Add the faces to the 'source' set
(now only nodes and elements are already stored in 'source'):
comp source do
plot f source
Define the master set:
qadd master t10 (catch the right faces showing the values)
comp master do
Map the values of dataset 1 with:
map slave master surf ds1
Check the mapping with:
ds 1 e 1
plot fv slave
Write the file with the mapped values:
send slave abq pres ds1 e1
Check the file ``slave_ds1e1.dlo'' with an editor and use it
in an inp-file.
\end{verbatim}
If the master values are not available in either inp or frd format but in any other format which can be read by cgx (isaac, openFoam ..) you may write them in frd format with the ''\htmlref{send}{send}'' command to be usable as a master.
\subsection{\label{How to run cgx in batch mode}How to run cgx in batch mode}
Most commands can be executed in batch-mode. Actually if you read a file with geometry (fbd-file) then you run cgx in batch mode already! You just have to add ''exit'' or ''quit'' at the end of the file and it will be obvious. You might use the ''\htmlref{read}{read}'' command in such a command-file to reference other command-files or to read files with mesh-entities for whatever purposes. In such a way you can create and modify geometry or meshes in batch-mode or evaluate results in batch-mode. But you need a graphic-capable computer because cgx needs it even if no graphic output is requested. Nevertheless the pop up of the graphic window can be suppressed by starting cgx with the ``-bg'' parameter. In this mode the performance is higher since no graphic related actions are performed. Even during foreground operation the user has the possibillity to execute commands in the background mode when he switches this mode on with ``\htmlref{asgn}{asgn} bg on''. Especially when reading commands from a file it increases the execution time significantly. After reading it has to be switched of with ``\htmlref{asgn}{asgn} bg off''.
Some commands only make sense in a batch file like ``\htmlref{if}{if}'' and ``\htmlref{while}{while}''. Please have a look into ``\htmlref{If and while demo}{If and while demo}'' on how to work with this commands. Results can be extracted and stored to a file, see ``\htmlref{How to write values to a file}{How to write values to a file}''.
Be aware of the 'examples' directory. It holds examples on how to use the command language as a programming language. The 'ifwhiledemo' generates points in a loop and shows how to write cgx generated values to a file. The 'userDataset' shows how to generate a user dataset for a temperature field based on the z coordinate of the nodes.
It should be noted that a successive 'save' or 'exit' command will overwrite the batch file if it has the file-extension 'fbd'. To prevent this the user should use a different extension like 'fbl' instead of 'fbd'.
When executing commands which increase the used space then it might happen that geometry is clipped and can not be seen or accessed anymore. In such a case a ``\htmlref{frame}{frame}'' command is needed. This command is usually automatically triggered. Especially in batch mode without graphic output it solves sometimes strange situations.
When the command ``\htmlref{init}{init}'' or ``\htmlref{wsize}{wsize}'' is used then they have to be used in the very first line. Otherwhise the window dimensions take only effect after the batch file was completely parsed and executed.
\subsection{\label{How to process results}How to process results}
The node results can be modified or used to generate derived results. There are basically three levels of operations.
The easiest one is to just multiply with a factor, add a number or use an exponent to all node results of a certain dataset with the ''\htmlref{ds}{ds}'' command.
The next level is using variables which can be used to do calculations based on results and can be written back to an existing dataset or a new one. This requires a good knowledge of the way cgx works and of the necessary commands (''\htmlref{if}{if}'', ''\htmlref{while}{while}'', ''\htmlref{stack}{stack}'', ''\htmlref{valu}{valu}'', ''\htmlref{enq}{enq}'', ''\htmlref{prnt}{prnt}'', ''\htmlref{ds}{ds}'', ''\htmlref{sys}{sys}'' etc.). In this way data can be written to a file with the ``\htmlref{sys}{sys}'' command (using echo) were an external program might be invoked by the ``sys'' command which in turn could provide data for cgx.
Finally, complex operations can be coded in C in the file userFunction.c. The
user function is activated by the ''\htmlref{call}{call}'' command. A new
compilation of cgx is required unless a dynamically linked library is used.
\subsection{\label{How to deal with CAD-geometry}How to deal with CAD-geometry}
In general hexahedra-elements perform better than tets but if the mesh should be derived from a cad-geometry it is often more convenient to create a tetrahedra mesh as to modify or rebuild the geometry to make it meshable with hexahedra-elements. The following section gives some hints which alternatives are available:
\begin{itemize}
\item The CAD format is supported by a stand alone translator (see the calculix home pages). In this case the user can mesh the surfaces with structured- \cite{Coons} (elty setname tr3 etc.) or unstructured triangles \cite{mesh2d} (elty setname tr3u etc.). The user might modify this surface mesh until he is happy with it. The surface mesh can then be filled with tets created by an external auto-mesher called from within cgx (mesh setname tet). The cgx uses the tet-mesher from NETGEN \cite{NETGEN} or TETGEN \cite{TETGEN} for this task. The command ''\htmlref{asgn}{asgn}'' is used to switch between them.
Therefore cgx can only generate a tet-mesh if one of these programs are accessible (TETGEN like glut is included in the cgx package). For the full functionality replace the original ng\_vol source file in the NETGEN package with the modified program ng\_vol from the cgx-distribution and build it again. This version regards a target element size. Tetgen is able to regard that size unchanged.
\item For CAD models in STEP- or IGES-format you may consider to use a tet-mesher like NETGEN \cite{NETGEN} which often generates quite nice tet-meshes with very few user interaction. You can read this meshes with cgx and combine them with cgx-geometry and meshes. Then create your boundary conditions etc. You might read the native-netgen format (.vol) instead of abaqus-format because this includes the 2D meshing regions in separate sets which can be used to apply boundary conditions (``cgx -ng file.vol'', see ''\htmlref{Program Parameters}{Program Parameters}''). See ``\htmlref{prnt}{prnt}'' how to list the available sets.
\item A simple step-reader is integrated in cgx (cgx -step filename). It can deal with points and lines. This is sufficient for axis-symmetric structures like a rotor but the experienced user might also use the following approach for more complex geometries: You start with a file containing a 2D-section, subdivide it in mesh-able surfaces and sweep it in the 3rd dimension to create your geometry (see \htmlref{swep}{swep}). If features exist in the 3rd dimension then this features must be included in the 2D-section. Sweep the 2D-section to the location were the feature starts, then right to the end and at last to the end of the geometry. Delete the unwanted bodies before and after the feature. You might project the sweped sections to a target surface if the feature is shaped in the 3rd dimension (see \htmlref{proj}{proj}).
Sometimes the geometry consists of several (maybe even identical) parts which are arranged on different positions in space. This is called assembly. When cgx is started with the parameter ``-stepsplit'' instead of ``-step'' it will write the single parts to separate directories using their original coordinate systems. The user can prepare meshable geometry or meshes based on them. But he must use the filenames which he finds there. The final meshed assembly can be build afterwards by calling the fbl-file which was written by cgx. This fbl-file contains the original step-commands to position and eventually duplicate the single geometries/meshes from the subdirectories.
\end{itemize}
The following section describes the process to generate a tet-mesh with cgx based on a cad model:
\begin{figure}[h]
\epsfig{file=halter.eps,width=9cm}
\caption{\label{halter} CAD-geometry meshed with tet-elements }
\end{figure}
\begin{itemize}
\item Install and use the propper interface program to convert the cad format to fbd format (You find example data (vda,iges,step) in CalculiX/cgx\_x.x/examples/cad)\begin{verbatim} (ie: vda2fbd halter.vda > halter.fbd). \end{verbatim}
\begin{itemize}
\item Remark regarding vda2fbd: In some cases the header of the vda file causes trouble and must be modified to make the program run.
\item Remark regarding cad2fbd: The cgx can not deal with surfaces which use the same line on two sides (a cylinder made of just one surface). Please use the parameter -sa with cad2fbd. It splits such surfaces in two (cad2fbd -sa cadfile). If problems occur call cad2fbd without arguments and play along with the listed parameters.
\end{itemize}
\item Start cgx with that file (cgx -a halter.fbd). Usually some warnings appear on the screen but the program will fix that automatically (triggered by the parameter -a). After all geometry has been read the program will merge points and lines to close the volume (body). WARNING: If no body exists the user has to manually merge all line end-points individually for all parts. Otherwhise intentionally unconnected parts could be merged at some locations. If the model consists of only one part a 'merg p all' should work if no geometry changes are planned. To be on the save side the user should prefer to use the following commands to merge only line endpoints:
\begin{verbatim}
seta b1 l <set>
comp b1 e
merg p b1
\end{verbatim}
Finally the line divisions are determined based on default values. Use ``plot lc all r 3`` to see the lines in red 3 digit whide with node spacing as defined by the line divisions. The current default values lead to approximatelly 200 elements over the length of the model. The default values are defined in cgx.h, see GTOL\_NODE\_DIST and GTOL. You may use now the command \htmlref{div}{div} in the 'auto' mode to change the element sizes to your needs individually in each relevant region.
\item If problems occur the user might start the program with option -b instead of -a (cgx -b halter.fbd). Then no automatic pre-processing is done and the user has to prepare the geometry manually. This commands are executed when starting with -a:
\begin{verbatim}
# merge only points which are referenced by lines
seta LBUF l all
comp LBUF e
merg p LBUF
# delete zero length lines
del l0 all
# set the line divisions
div all auto
\end{verbatim}
The user may use this command sequence when he reads a cad fbd file during run time (``\htmlref{read}{read} cadfile.fbd''). See the commands \htmlref{merg}{merg}, \htmlref{div}{div}, \htmlref{qdiv}{qdiv}, \htmlref{qlin}{qlin}, \htmlref{comp}{comp} and \htmlref{rep}{rep}.
\item A default element type was assigned to all surfaces (tr6u) if you had started cgx with parameter -a. You may change the element type with \htmlref{elty}{elty}. In most cases it is advisable to use this triangles first (tr6u) and not directly tetraeders (te10) because a surface mesh can be interactively improved before the tets are generated. Remark: You can assign tets only to a set holding one or more bodies. The body related surfaces get a preliminary triangle element type assigned as a basis for the tets. If no body exists you may create one with ``body ! all''. You assign the tet element type with the ``elty'' command (elty setname te10).
\item All surfaces should be shaded and filled with triangles. This has to be done manually by typing ``mesh all'' (see \htmlref{mesh}{mesh}) or ``rep all'' which just calculates the interior shape of the surfaces. In most cases ``mesh'' is preferable since it does both at the same time. Since the surface meshing of a CAD geometry can be very time consuming a default number of threads is used when the model is opened in the auto mode (cgx -a file). The actual number of threads will be listed when using the command ``\htmlref{prnt}{prnt} info''. The user might change this value with the command \htmlref{asgn}{asgn} before he starts meshing. The default is set in cgx.h, see NTHREADS.
\item Use then ``plus si all'' to display the shaded surfaces. If a surface points inwards it is not illuminated and appears only dark grey. Flip the surfaces in a way that its normal direction points outwards. Use ''\htmlref{qflp}{qflp}'' abd press the ''a'' key to swith to the ``auto'' mode and then select a correctly oriented surface by pressing key ''s'', all other surfaces will immediatelly use the same orientation (if it's a closed volume). Add now the element faces with ''plus f all``.
\item If some surfaces could not be meshed then modify the divisions of the lines of this surfaces (see ''\htmlref{qmsh}{qmsh}'', key 'l') and/or chose the structured element type tr6 for this surfaces (see ''\htmlref{qmsh}{qmsh}'', key 'x'). Or change the element-size (see ''\htmlref{qmsh}{qmsh}'', key 'h' or 't') inside the surfaces. The command ''\htmlref{qmsh}{qmsh}'' fixes parts of the surface-mesh in a convenient way since this command combines several other ones. For convenient usage of ``qmsh'' display the surfaces ``plot si all`` together with faces ``plus f all`` and add the lines with ``plus lc all r 3``).
Remark: In some cases surfaces are not meshable when you had combined two surfaces before with ``qmsh''. The referenced NURBS might be too small to cover the whole new surface. Without such a related nurbs no unstructured mesh can be created. If structured elements are no solution you may delete the related NURBS from the surface definition with ''\htmlref{qsur}{qsur}'' using key 'b'. Then store the surface in a set and create a new NURBS with ``nurs ! setname''. The surfaces stored in the set will produce NURBS based on the Coons algorithm \cite{Coons}. If the surface shape matches a primitive shape you may also use the ''\htmlref{qshp}{qshp}'' or ''\htmlref{shpe}{shpe}'' command to generate such a shape and assign it to the surface.
\item Check the mesh. If the command ''\htmlref{prnt}{prnt} info'' lists ''ed:0'' then no model edges exist and the mesh is closed and ready to be used for tet meshing. If edges exist then the surface mesh is not closed which means that not all shells have exactly one neighbor at each edge. This free edges exist usually at the location of lines and the problem can often be solved by changing the divsion of the underlying lines. The edges are displayed by default but might be hidden by other entities. To increase the size of the representation up to 10 pixels use ''\htmlref{view}{view} ed 10''. This can be seen on figure \ref{surfmesh}. Then chose the line under one edge with ``qmsh'' and change the line division to a higher or lower number until the edge disapears. Actually cgx detects this edges after meshing and tries to solve the problem by increasing the division of the related lines incrementally, but only a few times. The remaining lines are stored in set ``-EDGE'' and can be displayed as well for manual adjustments.
\begin{figure}[h]
\epsfig{file=surfmesh.eps,width=12cm}
\caption{\label{surfmesh}Visible (black) edge over lines and faces. Such edges exists if the surface mesh is not closed and not meshable with tets. Here two elements meet just one element at the black edge. }
\end{figure}
\item Generate the tet mesh (``mesh all tet``). A target-size for the tet-elements can be specified if ``ng\_vol'' from the cgx distribution was installed (for example ``mesh all tet 2.5`` will define a maximum element-size of ``2.5''). If the model consists of several unconnected parts separate them in single sets and mesh one after the other (see \htmlref{seta}{seta}, \htmlref{qadd}{qadd}, \htmlref{qrem}{qrem}, \htmlref{comp}{comp}). Check the mesh and correct bad elements:
\begin{verbatim}
prnt eq all
mids -BJBY force
prnt eq all
(repeat that procedere until no elements are stored in -BJBY any more)
\end{verbatim}
\item Create sets of nodes, faces or elements to create boundary conditions (if you had not created them already based on the geometry) and export them with ''\htmlref{send}{send}''.
\item Create the input deck for ccx with an editor and start the calculation.
\item Look at the results with cgx (cgx results.frd).
\end{itemize}
Additional remarks:
\begin{itemize}
\item It should be mentioned that only the set which was used for tet meshing will hold the created tet elements. The user has to use ''\htmlref{seto}{seto}'' if other target sets are needed.
\item In cases were certain regions of the model need different inner mesh densities the user might use the ''\htmlref{split}{split}'' command to subdivide the model in disjunct bodies which can be meshed with independent density. Skilled users might use bodies which share common surfaces. This way 'equations' or 'contact' can be avoided.
\item If a te10 meshed body shares surfaces with a he20 meshed body equations connecting tet related nodes which are not used by the hex elements are generated and will be written into the mesh file together with the nodes and elements. But this feature works only if all related bodies are meshed together with just one 'mesh' command. So create and use a set holding all adjacent bodies for use with the 'mesh' command. This feature requires in any case a body for the tet meshed structure. Bodies which do not share common surfaces with the tet body can be meshed in separate steps.
\item For cyclic symmetric boundary conditions it is preferable to have the same mesh on both connected surfaces. To archive this the user should not mesh one of two sides. Instead he copies the elements of the meshed side to the location of the un-meshed side (see ''\htmlref{copy}{copy}''). Since the element orientation of the target side has to be inverted it is necessary first to change the orientation of the source side (see ''\htmlref{flip}{flip}'' option 's' or ''\htmlref{qflp}{qflp}''). Then copy the elements to the target side and merge the nodes in that region (usually just ''\htmlref{merg}{merg} n all''). Then the orientation of the source side has to be inverted again (see ''\htmlref{flip}{flip}'' option 's' or ''\htmlref{qflp}{qflp}'')). Now the tet mesh can be generated.
\item Surfaces will not be deleted when the user deletes lines which define complete holes in existing surfaces. But it is necessary that all lines of a certain hole are deleted at once. If only a partial hole is deleted, the surface is deleted as well. It is proposed to use \htmlref{zap}{zap} to delete the affected lines.
\item Sometimes a surface is not meshable because a line runs right into it (a sliver, see figure \ref{sliver}). The following commands can be used to remove it:
\begin{verbatim}
qlin (select the lines with 'a', 'x')
qpnt (select the line endpoint 'p', in the figure marked with
DL2M and place it over the other endpoint 'p')
The line(s) are now deleted. Often such a surface is only
meshable with a regular mesh (tr6), so change the type
and mesh then:
qmsh (select the surface 's' and change the type 'x' and mesh
'm')
\end{verbatim}
\begin{figure}[h]
\epsfig{file=scratch.eps,width=9cm}
\caption{\label{sliver} CAD-surface with a sliver or scratch }
\end{figure}
\end{itemize}
\subsection{\label{How to check an input file for ccx}How to check an input file for ccx}
A quick check of a ccx input-file can be done with cgx by reading the file with the option -c (cgx -c file.inp). After startup all defined node-, element-, and surface-sets are availabe together with internal sets which group togeter certain entities according to their purposes. The following internal sets will be created if appropriate data were found:
\begin{itemize}
\item +bou(DOF): Created if *BOUNDARY is found. All affected nodes are stored in +bou were +bou(DOF) store just the nodes which are constrained in the related DOF number.
\item +dep(BOU): Created if *EQUATION is found. All dependent nodes are stored in +dep.
\item +ind(BOU): Analog to +dep.
\item +clo[nr]: Created if *CLOAD is found. The nr counts the number of appearance.
\item +dlo[nr]: Created if *DLOAD is found.
\item +mpc[nr]: Created if *MPC is found.
\item +rad[nr]: Created if *MPC is found.
\item +flm[nr]: Created if *FILM is found.
\item +cflx[nr]: Created if *CFLUX is found.
\item +dflx[nr]: Created if *DFLUX is found.
\item +tie[1|2]: Created if *TIE is found. The set +tie1 stores the slave entities and +tie2 the master. The single sets which define the contact areas are linked together so if identified with the ``qenq'' command the referenced (linked) opposing set is listed in the konsole.
\item +trans...: Created if *TRANSFORM is found. The name consists of the definition of the transformation.
\item +[elty]: Created for all known element types like *C3D20.
\end{itemize}
REMARK: Internal setnames start either with a '-' or '+'. The names which start with a '-' are not listed with ``\htmlref{qenq}{qenq}''.
Check the element quality with ``\htmlref{Show Bad Elements}{Show Bad
Elements}'' or use ``\htmlref{eqal}{eqal}'' to set thresholds and
``\htmlref{plot}{plot}'' or ``\htmlref{prnt}{prnt}'' to actually plot or list the affected elements.
Forces regard their referenced coordinate-system (*TRANSFORM). The values are automatically transformed into the global cartesian system so that the vectors point in the correct direction.
Multiple load definitions inside one *STEP on a single entity will sum up (ccx compatible). This applies to cflux, dflux, cload, dload.
\subsection{\label{Remarks Concerning Ansys}Remarks Concerning Ansys}
The cgx is capable to write the following mesh entities to files (see ``\htmlref{send}{send}'', the necessary key-parameters are listed in brackets below):
\begin{itemize}
\item Nodes and Elements
\item Sets of nodes and elements (nam)
\item Single point constraints (spc)
\item Equations (areampc)
\item Pressure (pres)
\item Temperatures (ds, all datasets with just one entity will be written as temperatures)
\end{itemize}
The resulting files have to be combined with the help of an editor and extended by material-data and the necessary controll-commands.
So far results can not be read.
\subsection{\label{Remarks Concerning Code Aster}Remarks Concerning Code Aster}
From Paul CARRICO (2005/02/12)
Brief presentation of CODE ASTER: Code Aster is an implicit solver under GPL licence from the French company EDF (\'{E}lectricit\'{e} de France).
Code Aster and its documentations is downloadable at the following address:\\\\http://www.code-aster.org\\\\(NOTA : the documentation is in French at the moment but many users are translating it in English and in German)
The following list is not exhaustive but it briefly presents the capabilities of the solver:
\begin{itemize}
\item Mechanical modeling:
Code aster allows linear and non linear calculations in static, dynamic, acoustic etc. Many mechanical laws are implemented in the solver such as damage, fatigue, creep, viscosities (elastic, plastic) etc. For isotropic and non-isotropic materials (orthotropic ones for example).
Because of EDF fields, the materials used in Code Aster are essentially Metallic ones and Geo material one, but there are probably some others.
\item Thermal and thermomechanical calculations:
The Thermal solver performs linear and non-linear calculations for pure thermal but also for thermomechanical simulations.
\item Input interface:
EFICAS is the input interface for coding the input file, but it's not a pre-processing as you can find in many commercial code.
\item Tools:
Many tools are provided with Code Aster: HOMARD for mesh refinement, GIBI and GMSH for post-processing.
\end{itemize}
CGX to ASTER export format (i.e HOWTO use this export format)
The export format allows to export meshes and sets from CGX to Code Aster for linear and quadratic 1D, 2D and 3D elements. For this, just type: 'send all aster' for exporting a complete mesh. The file will have the '.mail' extension.
Type 'send set aster nam' for exporting the GROUP-NO (node group) and the GROUP-MA (mesh group) which compose the set. The file will have '.nam' extension
The later item is particularly useful to apply boundary conditions onto (DOF, pressure, force, displacement, temperature, etc.). Since of these boundary conditions are coded with EFICAS in the input file, I thought it was not necessary to develop another features than the 2 previous ones !
So far results can not be read.
\subsection{\label{Remarks Concerning dolfyn}Remarks Concerning dolfyn}
Some support for dolfyn (a free cfd code) was provided by Runar Tenfjord.
In the CalculiX/cgx\_(nr)/examples/dolfyn directory is a patch for the dolfyn source-code included. This patch enables dolfyn to write frd-result files which can be visualized with cgx. There is also an example which allows cgx to be used as an pre-processor for dolfyn. The mesh can be written in dolfyn format with the command ''\htmlref{send}{send}''.
\subsection{\label{Remarks Concerning Duns and Isaac}Remarks Concerning Duns and Isaac}
If you intent to create a 2D-mesh for the cfd-code duns or isaac you have to watch out that all surfaces are created in the same order. That means that all surfaces must be defined clockwise if you look in z direction. The block-structure can be detected only in this case. You can check the mesh by simply mesh it with linear shell-elements and display them. All elements must be illuminated if looking against z. A later ``qflp'' or ``flip'' command will not cure wrong oriented surfaces since it only changes the ``sign'' in their definition and not the basic edge sequence, which is necessary here. The results of a calculation can be opened by specifying the parameter (-duns2d -duns3d -duns2dl -duns3dl -isaac2d -isaac3d) and the filename without any extention(cgx -isaac2d RAE2822). See also ''\htmlref{Program Parameters}{Program Parameters}'', ''\htmlref{mesh}{mesh}'', ''\htmlref{send}{send}'' and the airfoil-example in the distribution. Please read the comments for duns and isaac in the ``\htmlref{send}{send}'' command description.
Be aware that duns and isaac use block meshes which must be created using the set 'all'. So the use of set 'all' together with the parameter 'block' is mandatory when the block structure is needed! Nevertheless the user might only assign an element type to a sub set so that only a part of the geometry will be meshed (see ''\htmlref{mesh}{mesh}'').
If the solver-format ''duns'' is used then related numbers of surfaces (3D) or lines (2D) will be written to file ``duns.bou''. This information is necessary to apply boundary-conditions to duns. The numbers are used in the connectivity file ``duns.conn'' which will be created together with the mesh. The user has to refer this numbers in the ``duns.script2'' file when assigning boundary conditions.
When using the cgx parameter 'periodic' with the send command it is necessary to deactivate the function 'CHKCUT' in the isaac main.F file:
\begin{verbatim}
modifications Wittig 13. Jul 21
main.F 933 // deactivate the coord check to enable periodic boundaries
c CALL CHKCUT (IBLK1, IDIM(IBLK1,ILVL), JDIM(IBLK1,ILVL),
c 1 KDIM(IBLK1,ILVL), R(IR1),
c 2 IBLK2, IDIM(IBLK2,ILVL), JDIM(IBLK2,ILVL),
c 3 KDIM(IBLK2,ILVL), R(IR2), ICUTS(1,ICUT,ILVL),
c 4 CUTNAM(ICUT), IERRCD)
\end{verbatim}
Otherwhise the performed check would stop the program.
\subsection{\label{Remarks Concerning Nastran}Remarks Concerning Nastran}
The cgx is capable to write the following mesh entities to files (see ``\htmlref{send}{send}'', the necessary key-parameters are listed in brackets below):
\begin{itemize}
\item Nodes and Elements
\item node displacement coordinate system (see command ``\htmlref{csysa}{csysa}'')
\item Single point constraints (spc)
\item Equations or RBEs (areampc, to glue components. A previous command ``\htmlref{asgn}{asgn}'' defines if mpcs or rbes will be created)
\item RBE2 ( mpc, for rbe-spiders)
\item Pressure (pres, so far only CHEXA8)
\item Temperatures (ds, all datasets with just one entity will be written as temperatures)
\end{itemize}
The resulting files have to be combined with the help of an editor and extended by material-data and the necessary controll-commands.
The f06-file with results can be read (so far only CHEXA with displacements and stresses).
\subsection{\label{Remarks Concerning NETGEN}Remarks Concerning NETGEN}
It is not necessary to write the mesh in abaqus format if you use netgen as a mesher. The native netgen format (.vol) can be read by cgx (cgx -ng file.vol) as well. The netgen mesh format (.vol) includes the surface-patches which were defined by the edges of the model and used for the generation of the volume-mesh. This patches can be used to define boundary conditions or loads. The nodes and faces of this patches are stored in sets named ``+set[nr]''. To get an overview over the patches type ``\htmlref{prnt}{prnt} se''. To see were the patches are located type ``\htmlref{plot}{plot} f all'' and use the ``PAGE\_DOWN''-key to scan through all sets.\\\\
A netgen surface mesh can be written based on faces of elements. The faces of hex, tet, quad and tria elements are triangulated and written in the stl format which can be read by using the netgen-gui or the stand-alone netgen mesher format (file.ng). This mesher can be found in the netgen sub-directory nglib and is named ng\_vol. It will create tet4 elements which use and keep the shape of the provided tri3 elements. To improve the meshing results with the netgen-gui the user could create own edges based on the stl triangles or read and manipulate the netgen created edges with cgx and then write them back. To read the edges: In NETGEN open the stl-doctor and go in the edges menu. There delete all edges with ''all undefined'' then load the edges with ''load edgedata'' and activate them with ''candidate to confirm''.
\subsection{\label{Remarks Concerning OpenFOAM}Remarks Concerning OpenFOAM}
The mesh can be written in OpenFOAM polyMesh format with the command ''\htmlref{send}{send}''. If you work in the polyMesh-directory of the OpenFOAM case then all mesh-related files will be already in place. So far the physical-type is not written in the boundary file as it is not mandatory. The results of an OpenFOAM calculation can be viewed by specifying the parameter -foam and the case (the relative or absolute path including the directory-name of the case). See also ''\htmlref{Program Parameters}{Program Parameters}'', ''\htmlref{mesh}{mesh}''.
\subsection{\label{Remarks Concerning Samcef}Remarks Concerning Samcef}
From Paul CARRICO (2006/04/17)\\\\
BASIC TUTORIAL FOR HOWTO USE THE SAMCEF EXPORT FORMAT
\begin{verbatim}
1- Definition of the points
K: pnt p0 0 0 0
K: pnt p1 1 0 0
K: pnt p2 0 1 0
K: pnt p3 2 1 0
K: plot pa all
2- Definition of the lines
K: plus l all
K: qlin (link the points p0 p1 p3 p2 p2 p0)
3- Creation of the first surface
K: qsur
4- Creation of l0 (between p0 &p1) and l1 (between p1 &p3) sets
K : qadd lo
K : qadd l1
4- Creation of the 2 other surfaces
K : swep l0 l1 tra 0 -3 0
K : swep l1 l1b tra -3 0 0
5- Creation of the SYMETRY set
K : plot s all
K : qadd SYMETRY (use both a and rr keys to select all the
surfaces)
6- Creation of the volumes
K : swep SYMETRY s1 swep tra 0 0 1 (all the volume will be
automatically created)
7- Looking for common points, lines and surfaces
In the order :
K : merg p all
K : merg l all
K : merg s all
8- Creation of the LOAD set and ANCHORAG one
K : qadd LOAD (use rr keys to select the surface)
K : qadd ANCHORAG (use rr keys to select the surface)
NOTA : It's easy to verify the different sets ; for example :
K : plot b all (you can see all the volumes)
K : plus s LOAD (you can see the set LOAD)
K : plus s ANCHORAG
K : plus s SYMETRY
9 - Mesh
K : plot ld all
K : div all mult 2
K : elty all HE20 (to specify HEXAHEDRA with 20 nodes)
K : elty LOAD qu8 (to mesh the set LOAD otherwise no quads will
be created)
K : elty ANCHORAG qu8
K : elty SYMETRY
K : mesh all (to mesh the part with all.dat name)
K : send all sam (to export the mesh into Samcef format)
K : send LOAD sam nam (to export groups into Samcef format)
K : send ANCHORAG sam nam (see previous remark)
K : send SYMETRY sam nam
10- Modifications
It's possible now to make some modifications :
a- open all.dat file with your favorite text editor (Vi for me)
b- open ANCHORAG.nam & the SYMETRIC.nam files and do the same as
previously
c- concatenate under Linux the files using the following schema :
cat all.dat LOAD.nam > s1.m
cat s1.m ANCHORAG.nam > s2.m
cat s2.m SYMETRY.nam > part.dat
(all the sx.m files will be erased afterward)
d- open PART.dat file and go to the end => then add RETURN
e- the mesh file now works with Samcef
Another interesting way : add for each .nam file an input in your
bank file:
input ''part.dat''
input ''LOAD.nam''
input ''ANCHORAG.nam''
etc. ...
11 IMPORTANT REMARK
After, it's possible to modify the mesh into BACON (extrusions,
etc. ...);
that's why the element hypothesis is not added at the end of the
file ;
=> you must define the element definition AFTER the last mesh
modification (.HYP MINDLIN)
12- Comments
if you've any remark or any comment or any suggestion to improve
this export format, please send a mail to paul.carrico_at_free.fr
\end{verbatim}
So far results can not be read.
\section{\label{Simple Examples}Simple Examples}
The following listings show simple geometry input-files. The pictures show this geometry together with their labels and the generated mesh. The models were made based on three points. Two points defined one axis of rotation and one was the basis of several ''\htmlref{swep}{swep}'' and ''\htmlref{merg}{merg}'' operations. In case of the sphere the surfaces on the pole had to be redefined using only three lines per surface.
\subsection{\label{Disc}Disc}
\begin{figure}[h]
\epsfig{file=disc.eps,width=12cm}
\caption{\label{disc made of four 90 degree segments}disc made of four 90 degree segments}
\end{figure}
\begin{verbatim}
PNT py -0.00000 1.00000 0.00000
PNT p0 -0.00000 -0.00000 0.00000
PNT P001 0.70711 -0.00000 -0.70711
PNT P003 -0.00000 -0.00000 -1.00000
PNT P005 -0.70711 -0.00000 -0.70711
PNT P006 -1.00000 -0.00000 0.00000
PNT P009 -0.70711 -0.00000 0.70711
PNT P00A 0.00000 -0.00000 1.00000
PNT P00G 0.70711 -0.00000 0.70711
PNT P00I 1.00000 -0.00000 -0.00000
LINE L001 P00I P001 p0 4
LINE L002 P001 P003 p0 4
LINE L003 P003 p0 8
LINE L004 p0 P00I 8
LINE L005 P003 P005 p0 4
LINE L006 P005 P006 p0 4
LINE L007 P006 p0 8
LINE L009 P006 P009 p0 4
LINE L00A P009 P00A p0 4
LINE L00C P00A p0 8
LINE L00G P00A P00G p0 4
LINE L00I P00G P00I p0 4
GSUR A001 + BLEND - L003 - L002 - L001 - L004
GSUR A002 + BLEND - L007 - L006 - L005 + L003
GSUR A003 + BLEND - L00C - L00A - L009 + L007
GSUR A004 + BLEND + L004 - L00I - L00G + L00C
ELTY all QU4
\end{verbatim}
\subsection{\label{Cylinder}Cylinder}
\begin{figure}[h]
\epsfig{file=cylinder.eps,width=12cm}
\caption{\label{cylinder made of four 90 degree segments}cylinder made of four 90 degree segments}
\end{figure}
\begin{verbatim}
PNT p0 -0.00000 -0.00000 0.00000
PNT py -0.00000 1.00000 0.00000
PNT p1 1.00000 -0.00000 0.00000
PNT P001 1.00000 1.00000 0.00000
PNT P002 -0.00000 -0.00000 -1.00000
PNT P003 -0.00000 1.00000 -1.00000
PNT P006 -1.00000 -0.00000 0.00000
PNT P007 -1.00000 1.00000 0.00000
PNT P00A 0.00000 -0.00000 1.00000
PNT P00C 0.00000 1.00000 1.00000
LINE L001 p1 P001 2
LINE L002 P002 P003 2
LINE L003 p1 P002 p0 8
LINE L004 P001 P003 py 8
LINE L005 P006 P007 2
LINE L006 P002 P006 p0 8
LINE L007 P003 P007 py 8
LINE L008 P00A P00C 2
LINE L009 P006 P00A p0 8
LINE L00A P007 P00C py 8
LINE L00I P00A p1 p0 8
LINE L00J P00C P001 py 8
SHPE CYL1 cyl p0 py 1.
GSUR A001 + CYL1 - L001 + L003 + L002 - L004
GSUR A002 + CYL1 - L002 + L006 + L005 - L007
GSUR A003 + CYL1 - L005 + L009 + L008 - L00A
GSUR A004 + CYL1 - L008 + L00I + L001 - L00J
ELTY all QU4
\end{verbatim}
\subsection{\label{Sphere}Sphere}
\begin{figure}[h]
\epsfig{file=sphere.eps,width=12cm}
\caption{\label{Segment of a Sphere}Segment of a Sphere}
\end{figure}
\begin{verbatim}
PNT py -0.00000 1.00000 -0.00000
PNT p1 1.00000 -0.00000 -0.00000
PNT P001 0.70711 -0.00000 -0.70711
PNT P003 -0.00000 -0.00000 -1.00000
PNT P006 0.70711 0.50000 -0.50000
PNT P008 -0.00000 0.70711 -0.70711
PNT P00C 0.70711 -0.00000 -0.00000
PNT P00K 0.70711 0.70711 -0.00000
PNT P00L -0.00000 -0.00000 -0.00000
PNT P00N -0.00000 1.00000 -0.00000
LINE L001 p1 P001 P00L 8
LINE L002 P001 P003 P00L 8
LINE L003 p1 P006 P00L 8
LINE L004 P006 P008 P00L 8
LINE L006 P001 P006 P00C 8
LINE L008 P003 P008 P00L 8
LINE L00A p1 P00K P00L 8
LINE L00C P00K P00N P00L 8
LINE L00G P006 P00K P00C 8
LINE L00J P008 P00N P00L 8
SHPE SPH1 sph P00L 1.
GSUR A005 + SPH1 - L003 + L001 + L006
GSUR A002 + SPH1 - L002 + L006 + L004 - L008
GSUR A006 + SPH1 + L003 + L00G - L00A
GSUR A004 + SPH1 - L004 + L00G + L00C - L00J
ELTY all QU4
\end{verbatim}
\subsection{\label{Sphere (Volume)}Sphere (Volume)}
\begin{figure}[h]
\epsfig{file=sphere_vol.eps,width=12cm}
\caption{\label{Segment of a SphereV}Segment of a Sphere (Volume)}
\end{figure}
\begin{verbatim}
PNT py 0.00000 1.00000 0.00000
PNT p1 1.00000 0.00000 0.00000
PNT P006 0.70711 0.50000 -0.50000
PNT P008 0.00000 0.70711 -0.70711
PNT P00C 0.70711 0.00000 0.00000
PNT P00K 0.70711 0.70711 0.00000
PNT P00L 0.00000 0.00000 0.00000
PNT P00N 0.00000 1.00000 0.00000
LINE L001 p1 P00L 8
LINE L002 P00L P008 8
LINE L003 p1 P006 P00L 8
LINE L004 P006 P008 P00L 8
LINE L005 P00L P00N 8
LINE L00A p1 P00K P00L 8
LINE L00C P00K P00N P00L 8
LINE L00G P006 P00K P00C 8
LINE L00J P008 P00N P00L 8
SHPE SPH1 sph P00L 1.
GSUR A001 + BLEND - L003 + L001 + L002 - L004
GSUR A002 + BLEND - L005 - L001 + L00A + L00C
GSUR A006 + SPH1 + L003 + L00G - L00A
GSUR A004 + SPH1 - L004 + L00G + L00C - L00J
GSUR A003 + BLEND + L002 + L00J - L005
GBOD B001 NORM + A006 - A003 - A004 + A002 + A001
ELTY all HE20
\end{verbatim}
\subsection{\label{Airfoil for cfd codes}Airfoil for cfd codes}
All surfaces must be oriented in the same way. The sets are used to define areas for the boundary conditions.
\begin{figure}[h]
\epsfig{file=naca23012.eps,width=12cm}
\caption{\label{Airfoil for duns}Airfoil for cfd codes }
\end{figure}
\begin{verbatim}
PNT P002 -0.24688 0.00667 0.00000
PNT P003 -0.24375 0.00903 0.00000
PNT P004 -0.23750 0.01228 0.00000
PNT P005 -0.23125 0.01450 0.00000
PNT P006 -0.22500 0.01608 0.00000
PNT P007 -0.21250 0.01798 0.00000
PNT P008 -0.20000 0.01875 0.00000
PNT P009 -0.18750 0.01900 0.00000
PNT P00A -0.17500 0.01888 0.00000
PNT P00C -0.15000 0.01785 0.00000
PNT P00E -0.12500 0.01602 0.00000
PNT P00G -0.10000 0.01368 0.00000
PNT P00I -0.07500 0.01090 0.00000
PNT P00J -0.05000 0.00770 0.00000
PNT P00K -0.02500 0.00420 0.00000
PNT P00L -0.01250 0.00230 0.00000
PNT P00O -0.25000 0.00000 0.00000
PNT P00P -0.24688 -0.00308 0.00000
PNT P00R -0.24375 -0.00427 0.00000
PNT P00S -0.23750 -0.00565 0.00000
PNT P00T -0.23125 -0.00653 0.00000
PNT P00V -0.22500 -0.00730 0.00000
PNT P00W -0.21250 -0.00875 0.00000
PNT P00X -0.20000 -0.00993 0.00000
PNT P00Z -0.18750 -0.01070 0.00000
PNT P010 -0.17500 -0.01115 0.00000
PNT P011 -0.15000 -0.01120 0.00000
PNT P012 -0.12500 -0.01043 0.00000
PNT P013 -0.10000 -0.00917 0.00000
PNT P014 -0.07500 -0.00750 0.00000
PNT P015 -0.05000 -0.00540 0.00000
PNT P016 -0.02500 -0.00308 0.00000
PNT P017 -0.01250 -0.00175 0.00000
PNT P019 0.00000 0.00000 0.00000
PNT P1 -0.50000 -0.50000 0.00000
PNT P2 0.50000 -0.50000 0.00000
PNT p3 0.50000 0.50000 0.00000
PNT p4 -0.50000 0.50000 0.00000
PNT P01A -0.18162 0.01898 0.00000
PNT P01B -0.18180 -0.01094 0.00000
PNT P046 -0.27025 0.01256 0.00000
PNT P059 -0.26599 0.28688 0.00000
PNT P049 -0.25144 0.02439 0.00000
PNT P05A -0.35589 0.17566 0.00000
PNT P04C -0.22636 0.03241 0.00000
PNT P04D -0.20128 0.03643 0.00000
PNT P05C -0.38027 0.00958 0.00000
PNT P04G -0.12604 0.03833 0.00000
PNT P04H -0.07588 0.03616 0.00000
PNT P04I -0.02572 0.03231 0.00000
PNT P05D -0.31932 -0.21136 0.00000
PNT P04L -0.27652 -0.00154 0.00000
PNT P04M -0.27025 -0.00803 0.00000
PNT P05F -0.20962 -0.27840 0.00000
PNT P04P -0.25373 -0.01567 0.00000
PNT P04R -0.22676 -0.02143 0.00000
PNT P04T -0.20124 -0.02394 0.00000
PNT P05G 0.01132 0.29145 0.00000
PNT P04W -0.12604 -0.02508 0.00000
PNT P04X -0.07588 -0.02519 0.00000
PNT P04Z -0.02572 -0.02355 0.00000
PNT P05H 0.00065 -0.30887 0.00000
PNT P052 -0.18074 0.03754 0.00000
PNT P054 -0.18133 -0.02465 0.00000
PNT P056 0.00118 0.02891 0.00000
PNT P058 0.00010 -0.02250 0.00000
PNT P05I 0.01244 0.50000 0.00000
PNT P05J 0.00610 -0.50000 0.00000
PNT P05L 0.50000 -0.34112 0.00000
PNT P05M 0.50000 0.29206 0.00000
PNT P05N 0.50000 0.05780 0.00000
PNT P05S 0.50000 -0.05314 0.00000
PNT P05V 0.50000 -0.00217 0.00000
PNT P00N -0.23448 0.01345 0.00000
PNT P02M -0.23471 -0.00608 0.00000
PNT P03B -0.24164 0.02804 0.00000
PNT P03C -0.23405 -0.02029 0.00000
PNT P03E -0.24536 0.00794 0.00000
PNT P03P -0.24464 -0.00400 0.00000
PNT pl1 -1.00000 0.00000 0.00000
PNT pl2 1.00000 0.00000 0.00000
SEQA S006 pnt P01A P00A P00C P00E P00G P00I P00J P00K P00L P019
SEQA S007 pnt P019 P017 P016 P015 P014 P013 P012 P011 P010 P01B
SEQA S00W pnt P03B P049 P046 P04L P04M P04P P03C
SEQA S00R pnt P052 P04G P04H P04I P056
SEQA S00S pnt P058 P04Z P04X P04W P054
SEQA S00T pnt P05F P05D P05C P05A P059
SEQA S001 pnt P01A P009 P008 P007 P006 P005 P00N
SEQA S00E pnt P03E P002 P00O P00P P03P
SEQA S00L pnt P052 P04D P04C P03B
SEQA S00A pnt P02M P00T P00V P00W P00X P00Z P01B
SEQA S00X pnt P03C P04R P04T P054
SEQA S002 pnt P00N P004 P003 P03E
SEQA S00P pnt P03P P00R P00S P02M
LINE L003 P01A P052 910
LINE L00C P01A P019 S006 120
LINE L00E P019 P01B S007 120
LINE L004 p4 P1 150
LINE L05F P2 P05L -204
LINE L05S P05L P05S -912
LINE L05C P1 P05J 120
LINE L006 P01B P054 910
LINE L007 P019 P056 910
LINE L008 P058 P019 -910
LINE L00G P05S P05V -210
LINE L00N P03B P03C S00W 130
LINE L03R P052 P056 S00R 120
LINE L00I P05V P05N 210
LINE L03S P058 P054 S00S 120
LINE L04V p4 P059 -204
LINE L04W P059 P052 -912
LINE L04X P054 P05F 912
LINE L04Z P05F P1 204
LINE L050 P05F P059 S00T 150
LINE L052 P059 P05G 120
LINE L054 P05F P05H 120
LINE L056 P05H P058 -912
LINE L058 P056 P05G 912
LINE L059 p3 P05I 130
LINE L05A P05I p4 120
LINE L05D P05J P2 130
LINE L05V P056 P05N 130
LINE L05I P05M p3 204
LINE L05L P05N P05M 912
LINE L05Z P058 P05S 130
LINE L06C P019 P05V 130
LINE L06F P05M P05G 130
LINE L06H P05G P05I 204
LINE L06I P05L P05H 130
LINE L06J P05H P05J 204
LINE L001 P01A P00N S001 -210
LINE L00A P03E P03P S00E 120
LINE L00K P052 P03B S00L 110
LINE L009 P02M P01B S00A 210
LINE L00O P03C P054 S00X 110
LINE L002 P00N P03E S002 -205
LINE L00L P03P P02M S00P 205
LINE cl pl1 pl2 120
LINE L005 P00O P019 120
LCMB C001 + L001 + L002 + L00A + L00L + L009
LCMB C004 + L00K + L00N + L00O
GSUR A001 + BLEND + L003 + C004 - L006 - C001
GSUR A002 + BLEND + L006 - L03S + L008 + L00E
GSUR A003 + BLEND + L00C + L007 - L03R - L003
GSUR A004 + BLEND - L008 + L05Z + L00G - L06C
GSUR A005 + BLEND + L06C + L00I - L05V - L007
GSUR A00I + BLEND - L04W - L050 - L04X - C004
GSUR A00J + BLEND - L04V + L004 - L04Z + L050
GSUR A00K + BLEND + L04Z + L05C - L06J - L054
GSUR A00L + BLEND + L06J + L05D + L05F + L06I
GSUR A00N + BLEND + L04V + L052 + L06H + L05A
GSUR A00O + BLEND - L06H - L06F + L05I + L059
GSUR A00P + BLEND + L04W + L03R + L058 - L052
GSUR A00R + BLEND + L04X + L054 + L056 + L03S
GSUR A00S + BLEND - L058 + L05V + L05L + L06F
GSUR A00T + BLEND - L056 - L06I + L05S - L05Z
SETA wall l L05C
SETA wall l L059
SETA wall l L05A
SETA wall l L05D
SETA profil l L00C
SETA profil l L00E
SETA profil l L001
SETA profil l L00A
SETA profil l L009
SETA profil l L002
SETA profil l L00L
SETA in l L004
SETA out l L05F
SETA out l L05S
SETA out l L00G
SETA out l L00I
SETA out l L05I
SETA out l L05L
\end{verbatim}
\subsection{\label{If and while demo}If and while demo}
\begin{figure}[h]
\epsfig{file=ifwhile.eps,width=12cm}
\caption{\label{Result of If and while demo}Result of If and while demo}
\end{figure}
The if and while commands can be nested. A demo which produces some points on the window follows:
\begin{verbatim}
text if&value&while demo
# def the leading letter of point names
valu vp P
# define the initial x value
valu vx 0.
# define parameters
valu v2 4
valu v3 1
# start loop:
while vx < v2
valu vy 0.
valu vz 0.
seto S1
while vy < v2
# define the pnt coordinates
valu vy + vy v3
valu vy int vy
valu vx int vx
valu vz int vz
# define the pnt name
valu p1 & vp vy
valu p1 & p1 vx
valu p1 & p1 vz
# generate the pnt
pnt p1 vx vy vz
endwhile
setc
valu vy 0.
valu vz 1.
seto S2
while vy < v2
valu vy + vy v3
valu vy int vy
valu vx int vx
valu vz int vz
valu p2 & vp vy
valu p2 & p2 vx
valu p2 & p2 vz
pnt p2 vx vy vz
endwhile
setc
valu vx + vx v3
if vx == 1
plot pa S1 r
else
plus pa S2 b
endif
endwhile
send all fbd
# demo on how to write the content of variables to writedemo.txt
valu vx int vx
valu vy int vy
sys echo VX: vx VY: vx VZ: vz >| writedemo.txt
\end{verbatim}
\subsection{\label{Data storage in a user dataset}Data storage in a user dataset}
\begin{verbatim}
# Example: Calculate normals of all free surfaces
# and write them to a new dataset
#
# switch on background mode (improves execution time)
asgn bg on
# get the number of surface nodes
seta n f all
comp n do
stack on
prnt se n
stack off
valu sum_nods pop
# calculate the normals
# and write all face-nodes to the stack (it writes them in inverse order)
stack on
norm n
stack off
#
# store the node numbers and values in array's (nod1 to nod<sum_nods>)
val n sum_nods
while n > 0
valu cur_nod & nod n
valu cur_val1 & val1_nod n
valu cur_val2 & val2_nod n
valu cur_val3 & val3_nod n
val cur_nod pop
val cur_val1 pop
val cur_val2 pop
val cur_val3 pop
valu n - n 1
valu n int n
endwhile
#
# create a new dataset
ds g NORMAL 3
#
# use the 'node' command to write data to the new dataset
# REMARK: 'n' has to be masked ('\') since is is already defined as a value
val \n sum_nods
while n > 0
valu cur_nod & nod n
valu cur_val1 & val1_nod n
valu cur_val2 & val2_nod n
valu cur_val3 & val3_nod n
# code for cgx_2.16 and later:
val \cur_nod cur_nod
val \cur_val1 cur_val1
val \cur_val2 cur_val2
val \cur_val3 cur_val3
# optional code for cgx_2.15:
#val \cur_nod + cur_nod 0
#val \cur_val1 + cur_val1 0
#val \cur_val2 + cur_val2 0
#val \cur_val3 + cur_val3 0
valu cur_nod int cur_nod
node cur_nod v cur_val1 cur_val2 cur_val3
valu n - n 1
valu n int n
endwhile
# set entity parameters
ds e nx 1 2 1
ds e ny 2 2 2
ds e nz 3 2 3
# finish
ds f
# switch off background mode
asgn bg off
# show it
ds 1 e 4
plot fv all
view vec
\end{verbatim}
\subsection{\label{User File Parser}User File Parser}
The following file will be parsed and two new datasets will be created. The nodes and elements must exist before execution!
\begin{verbatim}
# Modelname: oragl
# 0rAg1 version: 19.7
## ONLINE OUTPUT ##
** CONTACT ELEMENT STATES @ amplitude=1.584893e-04
el.nr stick[%] slip[%] sep[%] FN mean[N] FN min[N] FN max[N] MU
208 0.0000 0.3594 0.6406 -1.7391E-02 -9.3037E-02 0.00005 6.00E-01
209 0.0703 0.2734 0.6562 -8.3892E-03 -4.6994E-02 0.00E00 6.00E-01
389 1.0000 0.0000 0.0000 -1.3890E+03 -1.3890E+03 -1.38E03 6.00E-01
390 1.0000 0.0000 0.0000 -6.9448E+02 -6.9450E+02 -6.94455 6.00E-01
391 1.0000 0.0000 0.0000 -1.3890E+03 -1.3890E+03 -1.38895 6.00E-01
392 1.0000 0.0000 0.0000 -6.9448E+02 -6.9452E+02 -6.94435 6.005-01
** CONTACT ELEMENT STATES @ amplitude=2.511886e-04
el.nr stick[%] s1ip[%] sep[%] FN mean[N] FN min[N] FN max[N] MU
208 0.0000 0.3594 0.6406 -2.7563E-02 -1.4745E-01 0.00005 6.00E-01
209 0.0703 0.2734 0.6562 -1.3296E-02 -7.4481E-02 0.00005 6.00E-01
389 1.0000 0.0000 0.0000 -1.3890E+03 -1.3890E+03 -1.38895 6.00E-01
390 1.0000 0.0000 0.0000 -6.9448E+02 -6.9451E+02 -6.94445 6.00E-01
391 1.0000 0.0000 0.0000 -1.3890E+03 -1.3890E+03 -1.38895 6.00E-01
392 1.0000 0.0000 0.0000 -6.9448E+02 -6.9454E+02 -6.94415 6.00E-01
\end{verbatim}
The following code asks for the filename of the above listed data and stores the node related data in two new datasets each with seven entities.
\begin{verbatim}
valu string1 el.nr
valu string2 **
valu string3 CONTACT
valu file ? "provide oragl cstate filename:"
read file stack
stack on
prnt st si
stack off
valu sum_recs pop
val nn 0
while nn < sum_recs
valu nn + nn 1
valu nn int nn
valu record & L nn
val record pop
endwhile
stack free
valu nn 0
stack on
while nn < sum_recs
valu nn + nn 1
valu nn int nn
valu record & L nn
# REC record
val record push
valu arg1 pop
valu arg2 pop
if arg2 eq string3
valu amplitude pop 4
# AMP amplitude
valu amplitude push =\
valu amplitude pop 2
endif
if arg1 eq string1
# found record arg1 string1
# create a new dataset
ds g CSTATE 7 amplitude
valu cur_nod 0
#
while cur_nod ne string2
# in while cur_nod ne string2
valu nn + nn 1
valu nn int nn
if nn >= sum_recs
# break nn sum_recs
valu cur_nod string2
else
valu record & L nn
val record push
valu cur_nod pop
valu arg1 pop
valu arg2 pop
valu arg3 pop
valu arg4 pop
valu arg5 pop
valu arg6 pop
valu arg7 pop
node cur_nod v arg1 arg2 arg3 arg4 arg5 arg6 arg7
seta CNODES \n cur_nod
stack free
endif
endwhile
#
# set entity parameters
ds e stick[%] 1
ds e slip[%] 2
ds e sep[%] 3
ds e FNmean 4
ds e FNmin 5
ds e FNmax 6
ds e MUE 7
# finish
ds f
valu nn - nn 1
valu nn int nn
endif
endwhile
stack off
stack free
\end{verbatim}
\end{appendix}
\begin{thebibliography}{99}
\bibitem{mesa} OpenGL-Like Rendering Toolkit, from Brian Paul, http://www.mesa3d.org/
\bibitem{glut} OpenGL Utility Toolkit (GLUT), from Mark J. Kilgard
%, http://reality.sgi.com/mjk_asd/glut3/glut3.html, Copying-Policy: Freely redistributable, not public domain.
\bibitem{cgx} CalculiX GraphiX (cgx), from Klaus Wittig, klaus.wittig@calculix.de
\bibitem{NETGEN} NETGEN, unstructured mesher from Joachim Schoberl, https://sourceforge.net/projects/netgen-mesher/
\bibitem{TETGEN} TETGEN, unstructured mesher from Hang Si, http://wias-berlin.de/software
\bibitem{dolfyn} dolfyn, Open Source CFD code, http://www.dolfyn.net
\bibitem{duns} Duns, a two- and three dimensional cfd code, http://sourceforge.net/projects/duns/
\bibitem{isaac} ISAAC, a two- and three dimensional cfd code, http://isaac-cfd.sourceforge.net
\bibitem{OpenFOAM} OpenFOAM, a three dimensional cfd code, http://www.opencfd.co.uk
\bibitem{tochnog} Tochnog, a free fem-code, http://tochnog.sourceforge.net/
\bibitem{tutorial} Tutorial for CalculiX, from Dr. Guido Dhondt, http://www.dhondt.de/tutorial.html
\bibitem{ImageMagick} ImageMagick 5.1.0 00/01/01 Q:8 cristyg@mystic.es.dupont.com. Copyright: Copyright (C) 2000 ImageMagick Studio
\bibitem{Firefox} Mozilla Foundation, http://www.firefox.com
\bibitem{Coons} S. A. Coons, 'Surfaces for computer-aided design of space forms'. Project MAC, MIT (1964). Revised to MAC-TR-41 (1967).
\bibitem{mesh2d} mesh2d, unstructured 2D-mesher from B. Kaan Karamete, Ph.D, No URL Available
\bibitem{spline} Paul Dierckx, Curve and Surface Fitting with Splines, Oxford. University Press, 1993
\end{thebibliography}
\end{document}
|