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/*
* Test of scalar Poisson equation for a solution with ln functions in a shell
*/
/*
* Copyright (c) 2000-2001 Philippe Grandclement
*
* 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 log_shell_C[] = "$Header: /cvsroot/Lorene/Codes/Test/Poisson_scal/log_shell.C,v 1.3 2014/10/06 15:12:54 j_novak Exp $" ;
/*
* $Id: log_shell.C,v 1.3 2014/10/06 15:12:54 j_novak Exp $
* $Log: log_shell.C,v $
* Revision 1.3 2014/10/06 15:12:54 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.2 2003/01/09 11:07:55 j_novak
* headcpp.h is now compliant with C++ norm.
* The include files have been ordered, as well as the local_settings_linux
*
* Revision 1.1.1.1 2001/11/20 15:19:31 e_gourgoulhon
* LORENE
*
* Revision 1.1 2000/02/15 14:53:51 phil
* Initial revision
*
*
* $Header: /cvsroot/Lorene/Codes/Test/Poisson_scal/log_shell.C,v 1.3 2014/10/06 15:12:54 j_novak Exp $
*
*/
// LORENE
#include "type_parite.h"
#include "nbr_spx.h"
#include "grilles.h"
#include "map.h"
#include "valeur.h"
#include "proto.h"
#include "coord.h"
#include "cmp.h"
#include "graphique.h"
//standard
#include <ctime>
#include <cstdlib>
#include <cstdio>
#include <cmath>
void main() {
int symetrie = NONSYM ;
// Construction de la grille ...
int nz = 3 ;
double R_2 = nz-1 ;
double R_1 = nz-2 ;
//Construction du mapping :
double* bornes = new double[nz+1] ;
for (int i=0 ; i<nz ; i++)
bornes[i] = i ;
bornes[nz] = __infinity ;
// echantillonnage en phi :
int* np = new int [nz] ;
for (int l=0 ; l<nz ; l++)
np[l] = 8 ;
int type_p = symetrie ;
// echantillonnage en theta :
int* nt = new int [nz] ;
for (int l=0 ; l<nz ; l++)
nt[l] = 9 ;
int type_t = SYM ;
int nbrer ;
cin >> nbrer;
// echantillonage en r :
int* nr = new int [nz] ;
for (int l=0 ; l<nz ; l++)
nr[l] = nbrer ;
int* type_r = new int[nz] ;
type_r[0] = RARE ;
for (int l=1 ; l<nz-1 ; l++)
type_r[l] = FIN ;
type_r[nz-1] = UNSURR ;
Mg3d grille (nz, nr, type_r, nt, type_t, np, type_p) ;
Map_af mapping(grille, bornes) ;
// Construction de la source .
Coord& r = mapping.r ;
Coord& z = mapping.z ;
// Composante x
Valeur val_x(&grille) ;
val_x = 1./pow(r, 3.) + 3*pow(z, 2.)/pow(r, 2.)-1. ;
Cmp source(mapping) ;
source = val_x ;
source.annule(0) ;
source.annule(nz-1) ;
source.std_base_scal() ;
// On construit la solution analytique
Mtbl a_cont(&grille) ;
a_cont = 1./R_2-1./R_1 ;
Mtbl b_cont(&grille) ;
b_cont = (log(R_1)-log(R_2))/5. ;
Mtbl c_cont(&grille) ;
c_cont = 1./R_2 ;
Mtbl d_cont(&grille) ;
d_cont = log(R_1)-1. ;
Mtbl e_cont(&grille) ;
e_cont = -log(R_2)/5.-1./25. ;
Mtbl f_cont(&grille) ;
f_cont = pow(R_1, 5.)/25.;
Mtbl g_cont(&grille) ;
g_cont = log(R_1)-log(R_2) ;
Mtbl h_cont(&grille) ;
h_cont = (pow(R_1, 5.)-pow(R_2, 5.))/25. ;
Valeur sol(&grille) ;
sol = a_cont+ b_cont*(3*pow(z, 2.)-pow(r, 2.)) ;
// Shell ...
Valeur sol_shell(&grille) ;
sol_shell = (3*pow(z, 2.)/pow(r, 2.)-1.)*
(pow(r, 2.)*log(r)/5.+e_cont*pow(r, 2.)+f_cont/pow(r, 3.))
-log(r)/r + c_cont +d_cont/r ;
*(sol.c->t[nz-2]) = *(sol_shell.c->t[nz-2]) ;
// ZEC ...
Valeur sol_zec(&grille) ;
sol_zec = g_cont/r + h_cont*3*pow(z, 2.)/pow(r, 5.)-h_cont/pow(r, 3.) ;
for (int k=0 ; k<np[nz-1] ; k++)
for (int j=0 ; j<nt[nz-1] ; j++)
sol_zec.set(nz-1, k, j, nr[nz-1]-1) = 0. ;
*(sol.c->t[nz-1]) = *(sol_zec.c->t[nz-1]) ;
// On construit le vecteur ...
Cmp soluce(mapping) ;
soluce = sol ;
soluce.set_dzpuis(0) ;
soluce.std_base_scal() ;
Cmp sol_poisson( source.poisson()) ;
cout << nbrer << endl ;
cout <<"Erreur : " << endl ;
cout << diffrelmax(sol_poisson, soluce) << endl ;
delete [] nr ;
delete [] nt ;
delete [] np ;
delete [] type_r ;
delete [] bornes ;
}
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