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/*
* Computes magnetic fields and derived quantities for rotating equilibrium
*
* (see file et_rot_mag.h for documentation)
*
*/
/*
* Copyright (c) 2002 Emmanuel Marcq
* Copyright (c) 2002 Jerome Novak
*
* 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 et_rot_mag_mag_plus_C[] = "$Header: /cvsroot/Lorene/C++/Source/Etoile/et_rot_mag_mag_plus.C,v 1.3 2014/10/13 08:52:58 j_novak Exp $" ;
/*
* $Id: et_rot_mag_mag_plus.C,v 1.3 2014/10/13 08:52:58 j_novak Exp $
* $Log: et_rot_mag_mag_plus.C,v $
* Revision 1.3 2014/10/13 08:52:58 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.2 2014/10/06 15:13:09 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.1 2012/08/12 17:48:35 p_cerda
* Magnetstar: New classes for magnetstar. Allowing for non-equatorial symmetry in Etoile et al. Adding B_phi in Et_rot_mag.
*
* Revision 1.14 2005/06/03 15:31:56 j_novak
* Better computation when more than one point in phi.
*
* Revision 1.13 2003/10/03 15:58:47 j_novak
* Cleaning of some headers
*
* Revision 1.12 2002/09/09 13:00:39 e_gourgoulhon
* Modification of declaration of Fortran 77 prototypes for
* a better portability (in particular on IBM AIX systems):
* All Fortran subroutine names are now written F77_* and are
* defined in the new file C++/Include/proto_f77.h.
*
* Revision 1.11 2002/06/05 15:15:59 j_novak
* The case of non-adapted mapping is treated.
* parmag.d and parrot.d have been merged.
*
* Revision 1.10 2002/06/03 13:23:16 j_novak
* The case when the mapping is not adapted is now treated
*
* Revision 1.9 2002/06/03 13:00:45 e_marcq
*
* conduc parameter read in parmag.d
*
* Revision 1.7 2002/05/20 10:31:59 j_novak
* *** empty log message ***
*
* Revision 1.6 2002/05/17 15:08:01 e_marcq
*
* Rotation progressive plug-in, units corrected, Q and a_j new member data
*
* Revision 1.5 2002/05/16 10:02:09 j_novak
* Errors in stress energy tensor corrected
*
* Revision 1.4 2002/05/15 09:54:00 j_novak
* First operational version
*
* Revision 1.3 2002/05/14 13:38:36 e_marcq
*
*
* Unit update, new outputs
*
* Revision 1.1 2002/05/10 09:26:52 j_novak
* Added new class Et_rot_mag for magnetized rotating neutron stars (under development)
*
*
* $Header: /cvsroot/Lorene/C++/Source/Etoile/et_rot_mag_mag_plus.C,v 1.3 2014/10/13 08:52:58 j_novak Exp $
*
*/
// Headers C
#include <cstdlib>
#include <cmath>
// Headers Lorene
#include "et_rot_mag.h"
#include "utilitaires.h"
#include "param.h"
#include "proto_f77.h"
#include "graphique.h"
#include "unites.h"
namespace Lorene {
// Algo du papier de 1995
using namespace Unites ;
void Et_rot_mag::magnet_comput_plus(const int adapt_flag,
const int initial_j,
const Tbl an_j,
Cmp (*f_j)(const Cmp&, const Tbl),
const Tbl bn_j,
Cmp (*g_j)(const Cmp&, const Tbl),
Cmp (*N_j)(const Cmp&, const Tbl),
Param& par_poisson_At,
Param& par_poisson_Avect){
double relax_mag = 1.0 ;
int Z = mp.get_mg()->get_nzone();
if(is_conduct()) {
bool adapt(adapt_flag) ;
/****************************************************************
* Assertion that all zones have same number of points in theta
****************************************************************/
int nt = mp.get_mg()->get_nt(nzet-1) ;
for (int l=0; l<Z; l++) assert(mp.get_mg()->get_nt(l) == nt) ;
Tbl Rsurf(nt) ;
Rsurf.set_etat_qcq() ;
mp.r.fait() ;
mp.tet.fait() ;
Mtbl* theta = mp.tet.c ;
const Map_radial* mpr = dynamic_cast<const Map_radial*>(&mp) ;
assert (mpr != 0x0) ;
for (int j=0; j<nt; j++)
Rsurf.set(j) = mpr->val_r_jk(l_surf()(0,j), xi_surf()(0,j), j, 0) ;
// Calcul de A_0t dans l'etoile (conducteur parfait)
Cmp A_0t(- omega * A_phi) ;
A_0t.annule(nzet,Z-1) ;
Tenseur ATTENS(A_t) ;
Tenseur APTENS(A_phi) ;
Tenseur BMN(-logn) ;
BMN = BMN + log(bbb) ;
BMN.set_std_base() ;
Cmp grad1(flat_scalar_prod_desal(ATTENS.gradient_spher(),
nphi.gradient_spher())());
Cmp grad2(flat_scalar_prod_desal(APTENS.gradient_spher(),
nphi.gradient_spher())()) ;
Cmp grad3(flat_scalar_prod_desal(ATTENS.gradient_spher(),
BMN.gradient_spher())()
+ 2*nphi()*flat_scalar_prod_desal(APTENS.gradient_spher(),
BMN.gradient_spher())()) ;
Cmp ATANT(A_phi.srdsdt()); // Constrction par copie pour mapping
ATANT.va = ATANT.va.mult_ct().ssint() ;
Cmp ttnphi(tnphi()) ;
ttnphi.mult_rsint() ;
Cmp BLAH(- b_car()/(nnn()*nnn())*ttnphi*grad1) ;
BLAH -= (1+b_car()/(nnn()*nnn())*tnphi()*tnphi())*grad2 ;
Cmp nphisr(nphi()) ;
nphisr.div_r() ;
Cmp npgrada(2*nphisr*(A_phi.dsdr()+ATANT )) ;
npgrada.inc2_dzpuis() ;
BLAH -= grad3 + npgrada ;
Cmp gtt(-nnn()*nnn()+b_car()*tnphi()*tnphi()) ;
Cmp gtphi( - b_car()*ttnphi) ;
// Calcul de j_t grace a Maxwell-Gauss
Cmp tmp(((BLAH - A_0t.laplacien())/a_car() - gtphi*j_phi)
/ gtt);
tmp.annule(nzet, Z-1) ;
if (adapt) {
j_t = tmp ;
}
else {
j_t.allocate_all() ;
for (int j=0; j<nt; j++)
for (int l=0; l<nzet; l++)
for (int i=0; i<mp.get_mg()->get_nr(l); i++)
j_t.set(l,0,j,i) = ( (*mp.r.c)(l,0,j,i) > Rsurf(j) ?
0. : tmp(l,0,j,i) ) ;
j_t.annule(nzet,Z-1) ;
}
j_t.std_base_scal() ;
// Calcul du courant j_phi
Tbl maxA_phi = max(abs(A_phi));
if (maxA_phi.set(0) == 0) {
cout << "Initializing j_phi" << endl;
double aini = 0.;
int nd = an_j.get_dim(0);
for (int i=0; i<nd - 4;i++){
aini = aini + fabs(an_j(i));
}
aini = aini + fabs (an_j(3)) + fabs (an_j(5));
double bini = 0.;
nd = bn_j.get_dim(0);
for (int i=0; i<nd;i++){
bini = bini + fabs(bn_j(i));
}
switch (initial_j) {
case 0 :
j_phi = (ener() + press())*aini + bini ;
j_phi.std_base_scal() ;
j_phi.annule(nzet,Z-1) ;
j_phi.std_base_scal() ;
break;
case 1 :
j_phi = (ener() + press())*aini + bini;
j_phi.std_base_scal() ;
j_phi.mult_rsint();
j_phi.annule(nzet,Z-1) ;
j_phi.std_base_scal() ;
break;
case 2 :
j_phi = (ener() + press())*aini + bini ;
j_phi.std_base_scal() ;
j_phi.mult_cost();
j_phi.mult_rsint();
j_phi.set_dzpuis(2);
j_phi.mult_r();
j_phi.annule(nzet,Z-1) ;
j_phi.std_base_scal() ;
break;
default :
cout << "ERROR" << endl;
cout << "initial_j = " << initial_j << endl;
abort();
}
}else{
double maxA_phi_surf = 0.;
for (int j = 0; j < nt ; j++ ) {
// double maxA_phi_surf_tmp = fabs(A_phi(nzet-1,0,j,mp.get_mg()->get_nr(nzet-1)-1));
double maxA_phi_surf_tmp = fabs(A_phi(nzet,0,j,0));
maxA_phi_surf= max(maxA_phi_surf, maxA_phi_surf_tmp);
}
Cmp A_phi_scaled = A_phi / maxA_phi.set(0);
Cmp A_phi_scaled2 = (A_phi - maxA_phi_surf)/ maxA_phi.set(0);
A_phi_scaled2.allocate_all() ;
for (int j=0; j<nt; j++) {
for (int l=0; l<Z; l++) {
for (int i=0; i<mp.get_mg()->get_nr(l); i++) {
if (A_phi_scaled2(l,0,j,i) < 0.) {
A_phi_scaled2.set(l,0,j,i) = 0 ;
}
}
}
}
A_phi_scaled2.std_base_scal() ;
Cmp j_phi_ff = g_j (A_phi_scaled2, bn_j)/maxA_phi.set(0);
//Cmp j_phi_ff = A_phi_scaled ;
j_phi_ff.std_base_scal() ;
j_phi_ff.div_rsint();
j_phi_ff.div_rsint();
j_phi_ff = j_phi_ff / b_car() / nnn() / nnn();
j_phi = omega * j_t
+ (ener() + press())*f_j(A_phi_scaled, an_j)/maxA_phi.set(0)/g_si
+ j_phi_ff;
j_phi.annule(nzet,Z-1) ;
j_phi.std_base_scal() ;
B_phi = N_j (A_phi_scaled2, bn_j);
B_phi.std_base_scal() ;
B_phi = B_phi / nnn();
}
// des_coupe_y(A_phi, 0., nzet, "Magnetic field") ;
// des_coupe_y(j_phi, 0., nzet, "Current",0x0,1.2,true,30) ;
// Resolution de Maxwell Ampere (-> A_phi)
// Calcul des termes sources avec A-t du pas precedent.
Cmp grad4(flat_scalar_prod_desal(APTENS.gradient_spher(),
BMN.gradient_spher())());
Tenseur source_tAphi(mp, 1, CON, mp.get_bvect_spher()) ;
source_tAphi.set_etat_qcq() ;
Cmp tjphi(j_phi) ;
tjphi.mult_rsint() ;
Cmp tgrad1(grad1) ;
tgrad1.mult_rsint() ;
Cmp d_grad4(grad4) ;
d_grad4.div_rsint() ;
source_tAphi.set(0)=0 ;
source_tAphi.set(1)=0 ;
source_tAphi.set(2)= -b_car()*a_car()*(tjphi-tnphi()*j_t)
+ b_car()/(nnn()*nnn())*(tgrad1+tnphi()*grad2)+d_grad4 ;
source_tAphi.change_triad(mp.get_bvect_cart());
Tenseur WORK_VECT(mp, 1, CON, mp.get_bvect_cart()) ;
WORK_VECT.set_etat_qcq() ;
for (int i=0; i<3; i++) {
WORK_VECT.set(i) = 0 ;
}
Tenseur WORK_SCAL(mp) ;
WORK_SCAL.set_etat_qcq() ;
WORK_SCAL.set() = 0 ;
double lambda_mag = 0. ; // No 3D version !
Tenseur AVECT(source_tAphi) ;
if (source_tAphi.get_etat() != ETATZERO) {
for (int i=0; i<3; i++) {
if(source_tAphi(i).dz_nonzero()) {
assert( source_tAphi(i).get_dzpuis() == 4 ) ;
}
else{
(source_tAphi.set(i)).set_dzpuis(4) ;
}
}
}
source_tAphi.poisson_vect(lambda_mag, par_poisson_Avect, AVECT, WORK_VECT,
WORK_SCAL) ;
AVECT.change_triad(mp.get_bvect_spher());
Cmp A_phi_n(AVECT(2));
A_phi_n.mult_rsint() ;
// Resolution de Maxwell-Ampere : A_1
Cmp source_A_1t(-a_car()*(j_t*gtt + j_phi*gtphi) + BLAH);
Cmp A_1t(mp);
A_1t = 0 ;
source_A_1t.poisson(par_poisson_At, A_1t) ;
int L = mp.get_mg()->get_nt(0);
Tbl MAT(L,L) ;
Tbl MAT_PHI(L,L);
Tbl VEC(L) ;
MAT.set_etat_qcq() ;
VEC.set_etat_qcq() ;
MAT_PHI.set_etat_qcq() ;
Tbl leg(L,2*L) ;
leg.set_etat_qcq() ;
Cmp psi(mp);
Cmp psi2(mp);
psi.allocate_all() ;
psi2.allocate_all() ;
for (int p=0; p<mp.get_mg()->get_np(0); p++) {
// leg[k,l] : legendre_l(cos(theta_k))
// Construction par recurrence de degre 2
for(int k=0;k<L;k++){
for(int l=0;l<2*L;l++){
if(l==0) leg.set(k,l)=1. ;
if(l==1) leg.set(k,l)=cos((*theta)(l_surf()(p,k),p,k,0)) ;
if(l>=2) leg.set(k,l) = double(2*l-1)/double(l)
* cos((*theta)(l_surf()(p,k),p,k,0))
* leg(k,l-1)-double(l-1)/double(l)*leg(k,l-2) ;
}
}
for(int k=0;k<L;k++){
// Valeurs a la surface trouvees via va.val_point_jk(l,xisurf,k,p)
VEC.set(k) = A_0t.va.val_point_jk(l_surf()(p,k), xi_surf()(p,k), k, p)
-A_1t.va.val_point_jk(l_surf()(p,k), xi_surf()(p,k), k, p);
for(int l=0;l<L;l++) MAT.set(l,k) = leg(k,2*l)/pow(Rsurf(k),2*l+1);
}
// appel fortran :
int* IPIV=new int[L] ;
int INFO ;
Tbl MAT_SAVE(MAT) ;
Tbl VEC2(L) ;
VEC2.set_etat_qcq() ;
int un = 1 ;
F77_dgesv(&L, &un, MAT.t, &L, IPIV, VEC.t, &L, &INFO) ;
// coeffs a_l dans VEC
for(int k=0;k<L;k++) {VEC2.set(k)=1. ; }
F77_dgesv(&L, &un, MAT_SAVE.t, &L, IPIV, VEC2.t, &L, &INFO) ;
delete [] IPIV ;
for(int nz=0;nz < Z; nz++){
for(int i=0;i< mp.get_mg()->get_nr(nz);i++){
for(int k=0;k<L;k++){
psi.set(nz,p,k,i) = 0. ;
psi2.set(nz,p,k,i) = 0. ;
for(int l=0;l<L;l++){
psi.set(nz,p,k,i) += VEC(l)*leg(k,2*l) /
pow((*mp.r.c)(nz,p,k,i),2*l+1);
psi2.set(nz,p,k,i) += VEC2(l)*leg(k,2*l)/
pow((*mp.r.c)(nz, p, k,i),2*l+1);
}
}
}
}
}
psi.std_base_scal() ;
psi2.std_base_scal() ;
assert(psi.get_dzpuis() == 0) ;
int dif = A_1t.get_dzpuis() ;
if (dif > 0) {
for (int d=0; d<dif; d++) A_1t.dec_dzpuis() ;
}
if (adapt) {
Cmp A_t_ext(A_1t + psi) ;
A_t_ext.annule(0,nzet-1) ;
A_0t += A_t_ext ;
}
else {
tmp = A_0t ;
A_0t.allocate_all() ;
for (int j=0; j<nt; j++)
for (int l=0; l<Z; l++)
for (int i=0; i<mp.get_mg()->get_nr(l); i++)
A_0t.set(l,0,j,i) = ( (*mp.r.c)(l,0,j,i) > Rsurf(j) ?
A_1t(l,0,j,i) + psi(l,0,j,i) : tmp(l,0,j,i) ) ;
}
A_0t.std_base_scal() ;
Valeur** asymp = A_0t.asymptot(1) ;
double Q_0 = -4*M_PI*(*asymp[1])(Z-1,0,0,0) ; // utilise A_0t plutot que E
delete asymp[0] ;
delete asymp[1] ;
delete [] asymp ;
asymp = psi2.asymptot(1) ;
double Q_2 = -4*M_PI*(*asymp[1])(Z-1,0,0,0) ; // A_2t = psi2 a l'infini
delete asymp[0] ;
delete asymp[1] ;
delete [] asymp ;
// solution definitive de A_t:
double C = (Q-Q_0)/Q_2 ;
assert(psi2.get_dzpuis() == 0) ;
dif = A_0t.get_dzpuis() ;
if (dif > 0) {
for (int d=0; d<dif; d++) A_0t.dec_dzpuis() ;
}
Cmp A_t_n(mp) ;
if (adapt) {
A_t_n = A_0t + C ;
Cmp A_t_ext(A_0t + C*psi2) ;
A_t_ext.annule(0,nzet-1) ;
A_t_n.annule(nzet,Z-1) ;
A_t_n += A_t_ext ;
}
else {
A_t_n.allocate_all() ;
for (int j=0; j<nt; j++)
for (int l=0; l<Z; l++)
for (int i=0; i<mp.get_mg()->get_nr(l); i++)
A_t_n.set(l,0,j,i) = ( (*mp.r.c)(l,0,j,i) > Rsurf(j) ?
A_0t(l,0,j,i) + C*psi2(l,0,j,i) :
A_0t(l,0,j,i) + C ) ;
}
A_t_n.std_base_scal() ;
asymp = A_t_n.asymptot(1) ;
delete asymp[0] ;
delete asymp[1] ;
delete [] asymp ;
A_t = relax_mag*A_t_n + (1.-relax_mag)*A_t ;
A_phi = relax_mag*A_phi_n + (1. - relax_mag)*A_phi ;
}else{
cout << "not implemented" << endl;
abort();
}
}
}
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