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
|
/*
* Test program for the radial primitive computation with a Map_af mapping
*
*/
/*
* Copyright (c) 2004 Eric Gourgoulhon
*
* This file is part of LORENE.
*
* LORENE is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* LORENE is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with LORENE; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*/
char test_map_af_primr_C[] = "$Header: /cvsroot/Lorene/Codes/Test/Map/test_map_af_primr.C,v 1.3 2014/10/13 08:54:01 j_novak Exp $" ;
/*
* $Id: test_map_af_primr.C,v 1.3 2014/10/13 08:54:01 j_novak Exp $
* $Log: test_map_af_primr.C,v $
* Revision 1.3 2014/10/13 08:54:01 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.2 2014/10/06 15:12:53 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.1 2004/06/14 15:29:12 e_gourgoulhon
* First version
*
*
* $Header: /cvsroot/Lorene/Codes/Test/Map/test_map_af_primr.C,v 1.3 2014/10/13 08:54:01 j_novak Exp $
*
*/
// headers C++
#include "headcpp.h"
// headers C
#include <cstdlib>
#include <cmath>
// headers Lorene
#include "tensor.h"
#include "nbr_spx.h"
#include "graphique.h"
#include "utilitaires.h"
//******************************************************************************
using namespace Lorene ;
int main(){
// Setup of a multi-domain grid (Lorene class Mg3d)
// ------------------------------------------------
int nz = 4 ; // Number of domains
int nzm1 = nz-1 ;
int nr = 17 ; // Number of collocation points in r in each domain
int nt = 5 ; // Number of collocation points in theta in each domain
int np = 8 ; // Number of collocation points in phi in each domain
int symmetry_theta = SYM ; // symmetry with respect to the equatorial plane
int symmetry_phi = SYM ; // no symmetry in phi
bool compact = true ; // external domain is compactified
// Multi-domain grid construction:
Mg3d mgrid(nz, nr, nt, np, symmetry_theta, symmetry_phi, compact) ;
cout << mgrid << endl ;
// Setup of an affine mapping : grid --> physical space (Lorene class Map_af)
// --------------------------------------------------------------------------
// radial boundaries of each domain:
double r_limits[] = {0., 1.5, 2., 3., __infinity} ;
assert( nz == 4 ) ; // since the above array described only 3 domains
Map_af map(mgrid, r_limits) ; // Mapping construction
cout << map << endl ;
// Denomination of various coordinates associated with the mapping
// ---------------------------------------------------------------
const Coord& r = map.r ; // r field
// const Coord& th = map.tet ; // theta field
// const Coord& phi = map.phi ; // phi field
const Coord& x = map.x ; // x field
const Coord& y = map.y ; // y field
const Coord& z = map.z ; // z field
//-----------------------------------------------------------------------
// Construction of a scalar field
//-----------------------------------------------------------------------
Scalar tmp(map) ;
tmp = r*r ;
tmp.annule_domain(nzm1) ;
tmp.std_spectral_base() ;
double rced = map.val_r(nz-2, 1., 0., 0.) ;
double ray_des = 2. * rced ; // outermost radius for plots
Scalar prim_ana(map) ;
prim_ana = r*( 1- x*x + z*z + x*y) ;
// prim_ana = r*r*r ;
Mtbl aux(mgrid) ;
aux = pow(rced,4) / r ;
prim_ana.set_domain(nzm1) = aux(nzm1) ;
prim_ana.set_spectral_base( tmp.dsdr().get_spectral_va().get_base() ) ;
des_meridian(prim_ana, 0., ray_des, "prim_ana", 9) ;
Scalar uu = prim_ana.dsdr() ;
uu.spectral_display("uu") ; // prints the spectral expansions
Scalar uu_des = uu ;
uu_des.dec_dzpuis(2) ;
des_meridian(uu_des, 0., ray_des, "U", 10) ;
Scalar prim = uu.primr() ;
prim.spectral_display("Primitive") ; // prints the spectral expansions
des_meridian(prim, 0., ray_des, "Primitive", 11) ;
maxabs(prim - prim_ana, "Absolute error prim - prim_ana") ;
maxabs(prim.dsdr() - uu, "Absolute error d/dr prim - uu") ;
arrete() ;
return EXIT_SUCCESS ;
}
|
