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/*
* Test of scalar Poisson equation for a spherical non-compact source
*
*/
/*
* 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 test_poisson_spherique_C[] = "$Header: /cvsroot/Lorene/Codes/Test/Poisson_scal/test_poisson_spherique.C,v 1.5 2014/10/13 08:54:02 j_novak Exp $" ;
/*
* $Id: test_poisson_spherique.C,v 1.5 2014/10/13 08:54:02 j_novak Exp $
* $Log: test_poisson_spherique.C,v $
* Revision 1.5 2014/10/13 08:54:02 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.4 2014/10/06 15:12:54 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.3 2008/01/28 16:08:47 j_novak
* Changed return type of main from void to int
*
* 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 14:54:42 phil
* Initial revision
*
*
* $Header: /cvsroot/Lorene/Codes/Test/Poisson_scal/test_poisson_spherique.C,v 1.5 2014/10/13 08:54:02 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>
using namespace Lorene ;
int main() {
int symetrie = SYM ;
int puis_zec = 2 ;
// Construction de la grille ...
int nz = 3 ;
double R = (nz-1) ;
//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] = 1 ;
int type_p = symetrie ;
// echantillonnage en theta :
int* nt = new int [nz] ;
for (int l=0 ; l<nz ; l++)
nt[l] = 1 ;
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 ;
// Composante x
Valeur val_x(&grille) ;
val_x = R-pow(r, 2.)/R ;
// ZEC ...
Valeur val_x_zec(&grille) ;
val_x_zec = pow(R, 5.)/pow(r, 4-puis_zec) ;
*(val_x.c->t[nz-1]) = *(val_x_zec.c->t[nz-1]) ;
Cmp source(mapping) ;
source = val_x ;
source.set_dzpuis(puis_zec) ;
source.std_base_scal() ;
// On construit la solution analytique
// Composante x
Valeur sol_x(&grille) ;
sol_x = R/6.*pow(r, 2.)-pow(r, 4.)/20./R-3./4.*pow(R, 3.) ;
// ZEC ...
Valeur sol_x_zec(&grille) ;
sol_x_zec = pow(R, 5.)/2./pow(r, 2.)-17./15.*pow(R, 4.)/r ;
for (int k=0 ; k<np[nz-1] ; k++)
for (int j=0 ; j<nt[nz-1] ; j++)
sol_x_zec.set(nz-1, k, j, nr[nz-1]-1) = 0. ;
*(sol_x.c->t[nz-1]) = *(sol_x_zec.c->t[nz-1]) ;
// On construit le vecteur ...
Cmp soluce(mapping) ;
soluce = sol_x ;
soluce.set_dzpuis(0) ;
soluce.std_base_scal() ;
Cmp sol_poisson(source.poisson()) ;
cout << nr[0] << 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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