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/*
* Method of class Tslice_dirac_max for time evolution
*
* (see file time_slice.h for documentation).
*
*/
/*
* Copyright (c) 2004 Eric Gourgoulhon & 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 version 2
* as published by the Free Software Foundation.
*
* 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 tslice_dirac_max_evolve_C[] = "$Header: /cvsroot/Lorene/C++/Source/Time_slice/tslice_dirac_max_evolve.C,v 1.22 2015/08/10 15:32:27 j_novak Exp $" ;
/*
* $Id: tslice_dirac_max_evolve.C,v 1.22 2015/08/10 15:32:27 j_novak Exp $
* $Log: tslice_dirac_max_evolve.C,v $
* Revision 1.22 2015/08/10 15:32:27 j_novak
* Better calls to Param::add_int(), to avoid weird problems (e.g. with g++ 4.8).
*
* Revision 1.21 2014/10/13 08:53:48 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.20 2013/01/24 12:55:18 j_novak
* Corrected the declaration of variables for boundary conditions.
*
* Revision 1.19 2012/02/06 12:59:07 j_novak
* Correction of some errors.
*
* Revision 1.18 2011/07/22 13:21:02 j_novak
* Corrected an error on BC treatment.
*
* Revision 1.17 2010/10/20 07:58:10 j_novak
* Better implementation of the explicit time-integration. Not fully-tested yet.
*
* Revision 1.16 2008/12/04 18:22:49 j_novak
* Enhancement of the dzpuis treatment + various bug fixes.
*
* Revision 1.15 2008/12/02 15:02:22 j_novak
* Implementation of the new constrained formalism, following Cordero et al. 2009
* paper. The evolution eqs. are solved as a first-order system. Not tested yet!
*
* Revision 1.13 2004/06/14 20:51:37 e_gourgoulhon
* Method solve_hij has now argument method_poisson.
* Its value is set **provisory** to 1 (instead of method_poisson_vect !).
*
* Revision 1.12 2004/05/31 09:09:59 e_gourgoulhon
* Added monitoring of khi and mu.
* Added writing of whole configuration in file (via Time_slice::save).
*
* Revision 1.11 2004/05/24 20:58:05 e_gourgoulhon
* Added graphical output of khi, mu and trh.
*
* Revision 1.10 2004/05/20 20:32:01 e_gourgoulhon
* Added arguments check_mod and save_mod.
* Argument graph_device passed to des_evol.
*
* Revision 1.9 2004/05/17 19:55:10 e_gourgoulhon
* Added arguments method_poisson_vect, nopause and graph_device
*
* Revision 1.8 2004/05/13 21:35:30 e_gourgoulhon
* Added monitoring of various quantities (as Evolution_full<Tbl>).
* Added function monitor_scalar.
*
* Revision 1.7 2004/05/12 15:24:20 e_gourgoulhon
* Reorganized the #include 's, taking into account that
* time_slice.h contains now an #include "metric.h".
*
* Revision 1.6 2004/05/11 20:15:10 e_gourgoulhon
* Added Evolution_full's for ADM mass and checks of the constraint,
* as well as the corresponding plots and write to files.
*
* Revision 1.5 2004/05/10 09:19:27 e_gourgoulhon
* Added a call to del_deriv() after set_khi_mu.
*
* Revision 1.4 2004/05/09 20:59:06 e_gourgoulhon
* Change of the time scheme: first solve d'Alembert equations,
* then psuh forward in time and solve the elliptic equation
* on the new slice.
*
* Revision 1.3 2004/05/06 15:26:29 e_gourgoulhon
* No longer necessary to initialize khi and mu.
*
* Revision 1.2 2004/05/05 14:39:32 e_gourgoulhon
* Added graphical outputs.
*
* Revision 1.1 2004/05/03 14:49:10 e_gourgoulhon
* First version
*
*
* $Header: /cvsroot/Lorene/C++/Source/Time_slice/tslice_dirac_max_evolve.C,v 1.22 2015/08/10 15:32:27 j_novak Exp $
*
*/
// Lorene headers
#include "time_slice.h"
#include "param.h"
#include "graphique.h"
#include "utilitaires.h"
#include "proto.h"
namespace Lorene {
const Tbl& monitor_scalar(const Scalar& uu, Tbl& resu) ;
void Tslice_dirac_max::evolve(double pdt, int nb_time_steps,
int niter_elliptic, double relax,
int check_mod, int save_mod,
int method_poisson_vect, int nopause,
const char* graph_device, bool verbose,
const Scalar* ener_euler,
const Vector* mom_euler, const Scalar* s_euler,
const Sym_tensor* strain_euler) {
// Intermediate quantities
// -----------------------
const Map& map = nn().get_mp() ;
const Base_vect& triad = *(beta().get_triad()) ;
assert( triad == map.get_bvect_spher() ) ;
// For graphical outputs:
int ngraph0 = 20 ; // index of the first graphic device to be used
int ngraph0_mon = 70 ; // for monitoring global quantities
int nz = map.get_mg()->get_nzone() ;
int nz_bound = nz - 2 ;
int nt = map.get_mg()->get_nt(0) ;
int np = map.get_mg()->get_np(0) ;
int np2 = np+2 ;
Scalar tmp(map) ; tmp.std_spectral_base() ;
Base_val base_ref = tmp.get_spectral_base() ;
Base_val base_pseudo = base_ref ;
base_pseudo.mult_cost() ;
base_pseudo.mult_x() ;
#ifndef NDEBUG
for (int lz=1; lz<nz; lz++) {
assert( map.get_mg()->get_np(lz) == np ) ;
assert( map.get_mg()->get_nt(lz) == nt ) ;
}
assert (depth > 2) ; //## for the moment, a more flexible test should be put
for (int it=0; it<depth; it++) {
assert ( hh_evol.is_known( jtime - it ) ) ;
assert ( hata_evol.is_known( jtime - it ) ) ;
assert ( A_hata_evol.is_known( jtime - it ) ) ;
assert ( B_hata_evol.is_known( jtime - it ) ) ;
assert ( A_hh_evol.is_known( jtime - it ) ) ;
assert ( B_hh_evol.is_known( jtime - it ) ) ;
}
#endif
// Initialization of the TT fields
//--------------------------------
Sym_tensor_tt hij_tt( map, triad, ff ) ;
hij_tt.set_A_tildeB( A_hh_evol[jtime], B_hh_evol[jtime] ) ;
Sym_tensor_tt hijtt_old = hij_tt ;
for (int i=1; i<=3; i++)
for (int j=i; j<=3; j++)
if ( hijtt_old(i,j).get_etat() == ETATZERO )
hijtt_old.set( i, j ).annule_hard() ;
hijtt_old.annule(0, nz_bound) ;
Sym_tensor_tt hata_tt( map, triad, ff ) ;
hata_tt.set_A_tildeB( A_hata_evol[jtime], B_hata_evol[jtime] ) ;
hata_tt.inc_dzpuis(2) ;
Sym_tensor_tt hatatt_old = hata_tt ;
for (int i=1; i<=3; i++)
for (int j=i; j<=3; j++)
if ( hatatt_old(i,j).get_etat() == ETATZERO )
hatatt_old.set( i, j ).annule_hard() ;
hatatt_old.annule(0, nz_bound) ;
// Declaration / initialization of mu and khi for hh and hata
//-----------------------------------------------------------
Evolution_std<Scalar> khi_hh_evol(depth) ;
Evolution_std<Scalar> mu_hh_evol(depth) ;
Evolution_std<Scalar> khi_a_evol(depth) ;
Evolution_std<Scalar> mu_a_evol(depth) ;
Sym_tensor_trans Tij(map, map.get_bvect_spher(), ff) ;
for (int j=jtime-depth+1; j<=jtime; j++) {
tmp = hij_tt(1,1) ;
tmp.mult_r() ; tmp.mult_r() ;
khi_hh_evol.update( tmp, j, the_time[j] ) ;
mu_hh_evol.update( hij_tt.mu(), j, the_time[j] ) ;
tmp = hata_tt(1,1) ;
tmp.mult_r() ; tmp.mult_r() ;
khi_a_evol.update( tmp, j, the_time[j] ) ;
mu_a_evol.update( hata_tt.mu(), j, the_time[j] ) ;
}
double Rmax = map.val_r(nz-2, 1., 0., 0.) ; // outermost radius
double ray_des = 1.25 * Rmax ; // for plots
// Parameters for the evolution equations
//---------------------------------------
double an = 23./12. ;
double anm1 = -4./3. ;
double anm2 = 5./12. ;
int i_zero = 0 ;
int i_minus_one = -1 ;
int i_two = 2 ;
Param par_A ;
double *l_val_A = new double(1./Rmax) ;
double *l_der_A = new double(1.) ;
par_A.add_int(nz_bound, 0) ;
par_A.add_int(i_two, 1) ; //matching of function and derivative
par_A.add_int(i_zero, 2) ;// no shift in l
par_A.add_int(i_two, 3) ; // only for l>=2
par_A.add_double_mod(*l_val_A, 0) ;
par_A.add_double_mod(*l_der_A, 1) ;
Tbl* tmp_Acc = new Tbl(np2, nt) ;
Tbl& Acc = *tmp_Acc ;
Acc.annule_hard() ;
par_A.add_tbl_mod(Acc) ;
Param par_mat_A_hh ;
Param par_B ;
double* l_val_B = new double(1./Rmax) ;
double* l_der_B = new double(1.) ;
par_B.add_int(nz_bound, 0) ;
par_B.add_int(i_two, 1) ; //matching of function and derivative
par_B.add_int(i_minus_one, 2) ;// shift in l for tilde{B}
par_B.add_int(i_two, 3) ; // only for l>=2
par_B.add_double_mod(*l_val_B, 0) ;
par_B.add_double_mod(*l_der_B, 1) ;
Tbl* tmp_Bcc = new Tbl(np2, nt) ;
Tbl& Bcc = *tmp_Bcc ;
Bcc.annule_hard() ;
par_B.add_tbl_mod(Bcc) ;
Param par_mat_B_hh ;
Tbl xij_b(np2, nt) ;
xij_b.set_etat_qcq() ;
initialize_outgoing_BC(nz_bound, B_hh_evol[jtime] , B_hata_evol[jtime], xij_b) ;
Tbl xijm1_b(np2, nt) ;
xijm1_b.set_etat_qcq() ;
initialize_outgoing_BC(nz_bound, B_hh_evol[jtime-1] ,
B_hata_evol[jtime-1], xijm1_b) ;
Tbl xij_a(np2, nt) ;
xij_a.set_etat_qcq() ;
initialize_outgoing_BC(nz_bound, A_hh_evol[jtime] , A_hata_evol[jtime], xij_a) ;
Tbl xijm1_a(np2, nt) ;
xijm1_a.set_etat_qcq() ;
initialize_outgoing_BC(nz_bound, A_hh_evol[jtime-1] ,
A_hata_evol[jtime-1], xijm1_a) ;
// Parameters for the Dirac systems
//---------------------------------
Param par_bc_hh ;
par_bc_hh.add_int(nz_bound) ;
Tbl* cf_b_hh = new Tbl(10) ;
cf_b_hh->annule_hard() ;
cf_b_hh->set(0) = 11*Rmax + 12*pdt ; // mu
cf_b_hh->set(1) = 6*Rmax*pdt ; // d mu / dr
cf_b_hh->set(2) = 0 ; // X
cf_b_hh->set(3) = 0 ; // d X / dr
cf_b_hh->set(4) = 11*Rmax*Rmax + 18*Rmax*pdt ; // h^rr
cf_b_hh->set(5) = 6*Rmax*Rmax*pdt ; // d h^rr / dr
cf_b_hh->set(6) = 0 ; //eta
cf_b_hh->set(7) = 0 ; //d eta / dr
cf_b_hh->set(8) = 0 ; //W
cf_b_hh->set(9) = 0 ; //d W / dr
par_bc_hh.add_tbl_mod(*cf_b_hh, 0) ;
Tbl* kib_hh = new Tbl(np2, nt) ;
Tbl& khib_hh = *kib_hh ;
khib_hh.annule_hard() ;
par_bc_hh.add_tbl_mod(khib_hh,1) ;
Tbl* mb_hh = new Tbl(np2, nt) ;
Tbl& mub_hh = *mb_hh ;
mub_hh.annule_hard() ;
par_bc_hh.add_tbl_mod(mub_hh, 2) ;
Param par_mat_hh ;
Tbl xij_mu_hh(np2, nt) ;
xij_mu_hh.set_etat_qcq() ;
initialize_outgoing_BC(nz_bound, mu_hh_evol[jtime] , mu_a_evol[jtime], xij_mu_hh) ;
Tbl xijm1_mu_hh(np2, nt) ;
xijm1_mu_hh.set_etat_qcq() ;
initialize_outgoing_BC(nz_bound, mu_hh_evol[jtime-1] , mu_a_evol[jtime-1],
xijm1_mu_hh) ;
Tbl xij_ki_hh(np2, nt) ;
xij_ki_hh.set_etat_qcq() ;
initialize_outgoing_BC(nz_bound, khi_hh_evol[jtime] , khi_a_evol[jtime], xij_ki_hh) ;
Tbl xijm1_ki_hh(np2, nt) ;
xijm1_ki_hh.set_etat_qcq() ;
initialize_outgoing_BC(nz_bound, khi_hh_evol[jtime-1] , khi_a_evol[jtime-1],
xijm1_ki_hh) ;
Param par_bc_hata ;
par_bc_hata.add_int(nz_bound) ;
Tbl* cf_b_hata = new Tbl(10) ;
cf_b_hata->annule_hard() ;
cf_b_hata->set(0) = 11*Rmax + 12*pdt ; // mu
cf_b_hata->set(1) = 6*Rmax*pdt ; // d mu / dr
cf_b_hata->set(2) = 0 ; // X
cf_b_hata->set(3) = 0 ; // d X / dr
cf_b_hata->set(4) = 11*Rmax*Rmax + 18*Rmax*pdt ; // h^rr
cf_b_hata->set(5) = 6*Rmax*Rmax*pdt ; // d h^rr / dr
cf_b_hata->set(6) = 0 ; //eta
cf_b_hata->set(7) = 0 ; //d eta / dr
cf_b_hata->set(8) = 0 ; //W
cf_b_hata->set(9) = 0 ; //d W / dr
par_bc_hata.add_tbl_mod(*cf_b_hata, 0) ;
Tbl* kib_hata = new Tbl(np2, nt) ;
Tbl& khib_hata = *kib_hata ;
khib_hata.annule_hard() ;
par_bc_hata.add_tbl_mod(khib_hata,1) ;
Tbl* mb_hata = new Tbl(np2, nt) ;
Tbl& mub_hata = *mb_hata ;
mub_hata.annule_hard() ;
par_bc_hata.add_tbl_mod(mub_hata, 2) ;
Param par_mat_hata ;
Tbl xij_mu_a(np2, nt) ;
xij_mu_a.set_etat_qcq() ;
initialize_outgoing_BC(nz_bound, mu_a_evol[jtime] ,
mu_a_evol.time_derive(jtime, 2), xij_mu_a) ;
Tbl xijm1_mu_a(np2, nt) ;
xijm1_mu_a.set_etat_qcq() ;
tmp = ( mu_a_evol[jtime] - mu_a_evol[jtime-2] ) / (2.*pdt) ;
initialize_outgoing_BC(nz_bound, mu_a_evol[jtime-1] , tmp, xijm1_mu_a) ;
Tbl xij_ki_a(np2, nt) ;
xij_ki_a.set_etat_qcq() ;
initialize_outgoing_BC(nz_bound, khi_a_evol[jtime] ,
khi_a_evol.time_derive(jtime, 2), xij_ki_a) ;
Tbl xijm1_ki_a(np2, nt) ;
xijm1_ki_a.set_etat_qcq() ;
tmp = ( khi_a_evol[jtime] - khi_a_evol[jtime-2] ) / (2.*pdt) ;
initialize_outgoing_BC(nz_bound, khi_a_evol[jtime-1] , tmp, xijm1_ki_a) ;
// Quantities at new time-step
//----------------------------
Scalar n_new(map) ;
Scalar psi_new(map) ;
Scalar npsi_new(map) ;
Vector beta_new(map, CON, triad) ;
Scalar A_hh_new(map) ;
Scalar B_hh_new(map) ;
Scalar A_hata_new(map) ;
Scalar B_hata_new(map) ;
// Successive values of various quantities:
// ---------------------------------------
Evolution_full<double> m_adm(adm_mass(), jtime, the_time[jtime]) ;
Evolution_full<double> test_ham_constr ;
Evolution_full<double> test_mom_constr_r ;
Evolution_full<double> test_mom_constr_t ;
Evolution_full<double> test_mom_constr_p ;
Evolution_full<Tbl> nn_monitor ;
Evolution_full<Tbl> psi_monitor ;
Evolution_full<Tbl> A_h_monitor ;
Evolution_full<Tbl> B_h_monitor ;
Evolution_full<Tbl> trh_monitor ;
Evolution_full<Tbl> beta_monitor_maxabs ;
Evolution_full<Tbl> hh_monitor_central ;
Evolution_full<Tbl> hh_monitor_maxabs ;
Evolution_full<Tbl> hata_monitor_central ;
Evolution_full<Tbl> hata_monitor_maxabs ;
Evolution_full<Tbl> check_evol ;
Tbl select_scalar(6) ;
Tbl select_tens(6) ;
Vector zero_vec( map, CON, map.get_bvect_spher() ) ;
zero_vec.set_etat_zero() ;
const Vector& hat_S = ( mom_euler == 0x0 ? zero_vec : *mom_euler ) ;
Scalar lapB(map) ;
Scalar lapBm1 = source_B_hata_evol[jtime-1] ;
Scalar lapBm2 = source_B_hata_evol[jtime-2] ;
// Evolution loop
// --------------
for (int jt = 0; jt < nb_time_steps; jt++) {
double ttime = the_time[jtime] ;
k_dd() ;
if (jt%check_mod == 0) {
cout <<
"==============================================================\n"
<< " step: " << jtime << " time = " << the_time[jtime] << endl
<< " ADM mass : " << adm_mass()
<< ", Log of central lapse: " << log(nn().val_grid_point(0,0,0,0)) << endl
<< "==============================================================\n" ;
// Monitoring
// ----------
m_adm.update(adm_mass(), jtime, the_time[jtime]) ;
if (jt > 0) des_evol(m_adm, "ADM mass", "Variation of ADM mass",
ngraph0_mon, graph_device) ;
nn_monitor.update(monitor_scalar(nn(), select_scalar),
jtime, the_time[jtime]) ;
psi_monitor.update(monitor_scalar(psi(), select_scalar),
jtime, the_time[jtime]) ;
A_h_monitor.update(monitor_scalar(A_hh(), select_scalar),
jtime, the_time[jtime]) ;
B_h_monitor.update(monitor_scalar(B_hh(), select_scalar),
jtime, the_time[jtime]) ;
trh_monitor.update(monitor_scalar(trh(), select_scalar),
jtime, the_time[jtime]) ;
beta_monitor_maxabs.update(maxabs_all_domains(beta(), -1, 0x0, cout, verbose),
jtime, the_time[jtime]) ;
hh_monitor_central.update(central_value(hh()),
jtime, the_time[jtime]) ;
hh_monitor_maxabs.update(maxabs_all_domains(hh(), -1, 0x0, cout, verbose),
jtime, the_time[jtime]) ;
hata_monitor_central.update(central_value(hata()),
jtime, the_time[jtime]) ;
hata_monitor_maxabs.update(maxabs_all_domains(hata(), -1, 0x0, cout, verbose),
jtime, the_time[jtime]) ;
int jt_graph = jt / check_mod ;
Tbl tham = check_hamiltonian_constraint(0x0, cout, verbose) ;
double max_error = tham(0,0) ;
for (int l=1; l<nz-1; l++) { // all domains but the last one
double xx = fabs(tham(0,l)) ;
if (xx > max_error) max_error = xx ;
}
test_ham_constr.update(max_error, jt_graph, the_time[jtime]) ;
if (jt > 0) des_evol(test_ham_constr, "Absolute error",
"Check of Hamiltonian constraint",
ngraph0_mon+1, graph_device) ;
Tbl tmom = check_momentum_constraint(0x0, cout, verbose) ;
max_error = tmom(0,0) ;
for (int l=1; l<nz-1; l++) { // all domains but the last one
double xx = fabs(tmom(0,l)) ;
if (xx > max_error) max_error = xx ;
}
test_mom_constr_r.update(max_error, jt_graph, the_time[jtime]) ;
if (jt > 0) des_evol(test_mom_constr_r, "Absolute error",
"Check of momentum constraint (r comp.)", ngraph0_mon+2,
graph_device) ;
max_error = tmom(1,0) ;
for (int l=1; l<nz-1; l++) { // all domains but the last one
double xx = fabs(tmom(1,l)) ;
if (xx > max_error) max_error = xx ;
}
test_mom_constr_t.update(max_error, jt_graph, the_time[jtime]) ;
if (jt > 0) des_evol(test_mom_constr_t, "Absolute error",
"Check of momentum constraint (\\gh comp.)", ngraph0_mon+3,
graph_device) ;
max_error = tmom(2,0) ;
for (int l=1; l<nz-1; l++) { // all domains but the last one
double xx = fabs(tmom(2,l)) ;
if (xx > max_error) max_error = xx ;
}
test_mom_constr_p.update(max_error, jt_graph, the_time[jtime]) ;
if (jt > 0) des_evol(test_mom_constr_p, "Absolute error",
"Check of momentum constraint (\\gf comp.)", ngraph0_mon+4,
graph_device) ;
if (jt>2) {
Tbl tevol = check_dynamical_equations(0x0, 0x0, cout, verbose) ;
Tbl evol_check(6) ; evol_check.set_etat_qcq() ;
for (int i=1; i<=3; i++)
for(int j=1; j<=i; j++) {
max_error = tevol(i, j, 0) ;
for (int l=1; l<nz-1; l++) {
double xx = fabs(tevol(i,j,l)) ;
if (xx > max_error) max_error = xx ;
}
evol_check.set(i) = max_error ;
}
check_evol.update(evol_check, jtime, the_time[jtime]) ;
}
}
if (jt%save_mod == 0) {
m_adm.save("adm_mass.d") ;
nn_monitor.save("nn_monitor.d") ;
psi_monitor.save("psi_monitor.d") ;
A_h_monitor.save("potA_monitor.d") ;
B_h_monitor.save("potB_monitor.d") ;
trh_monitor.save("trh_monitor.d") ;
beta_monitor_maxabs.save("beta_monitor_maxabs.d") ;
hh_monitor_central.save("hh_monitor_central.d") ;
hh_monitor_maxabs.save("hh_monitor_maxabs.d") ;
hata_monitor_central.save("hata_monitor_central.d") ;
hata_monitor_maxabs.save("hata_monitor_maxabs.d") ;
test_ham_constr.save("test_ham_constr.d") ;
test_mom_constr_r.save("test_mom_constr_r.d") ;
test_mom_constr_t.save("test_mom_constr_t.d") ;
test_mom_constr_p.save("test_mom_constr_p.d") ;
check_evol.save("evol_equations.d") ;
save("sigma") ;
}
// Resolution of hyperbolic equations
// ----------------------------------
compute_sources(strain_euler) ;
A_hata_new = A_hata_evol[jtime]
+ pdt*( an*source_A_hata_evol[jtime] + anm1*source_A_hata_evol[jtime-1]
+ anm2*source_A_hata_evol[jtime-2] ) ;
B_hata_new = B_hata_evol[jtime]
+ pdt*( an*source_B_hata_evol[jtime] + anm1*source_B_hata_evol[jtime-1]
+ anm2*source_B_hata_evol[jtime-2] ) ;
A_hh_new = A_hh_evol[jtime]
+ pdt*( an*source_A_hh_evol[jtime] + anm1*source_A_hh_evol[jtime-1]
+ anm2*source_A_hh_evol[jtime-2] ) ;
B_hh_new = B_hh_evol[jtime]
+ pdt*( an*source_B_hh_evol[jtime] + anm1*source_B_hh_evol[jtime-1]
+ anm2*source_B_hh_evol[jtime-2] ) ;
Scalar bc_A = -2.*A_hata_new ;
bc_A.set_spectral_va().ylm() ;
evolve_outgoing_BC(pdt, nz_bound, A_hh_evol[jtime], bc_A, xij_a, xijm1_a,
Acc, 0) ;
A_hh_new.match_tau(par_A, &par_mat_A_hh) ;
Scalar bc_B = -2.*B_hata_new ;
bc_B.set_spectral_va().ylm() ;
evolve_outgoing_BC(pdt, nz_bound, B_hh_evol[jtime], bc_B, xij_b, xijm1_b,
Bcc, -1) ;
B_hh_new.match_tau(par_B, &par_mat_B_hh) ;
// Boundary conditions for hh and hata
//------------------------------------
Scalar sbcmu = (18*mu_hh_evol[jtime] - 9*mu_hh_evol[jtime-1]
+ 2*mu_hh_evol[jtime-2]) / (6*pdt) ;
if (sbcmu.get_etat() == ETATZERO) {
sbcmu.annule_hard() ;
sbcmu.set_spectral_base(base_pseudo) ;
}
sbcmu.set_spectral_va().ylm() ;
tmp = mu_hh_evol[jtime] ;
if (tmp.get_etat() == ETATZERO) {
tmp.annule_hard() ;
tmp.set_spectral_base(base_pseudo) ;
}
tmp.set_spectral_va().ylm() ;
evolve_outgoing_BC(pdt, nz_bound, tmp, sbcmu, xij_mu_hh, xijm1_mu_hh,
mub_hh, 0) ;
mub_hh *= 6*pdt ;
Scalar sbckhi = (18*khi_hh_evol[jtime] - 9*khi_hh_evol[jtime-1]
+ 2*khi_hh_evol[jtime-2]) / (6*pdt) ;
if (sbckhi.get_etat() == ETATZERO) {
sbckhi.annule_hard() ;
sbckhi.set_spectral_base(base_ref) ;
}
sbckhi.set_spectral_va().ylm() ;
tmp = khi_hh_evol[jtime] ;
if (tmp.get_etat() == ETATZERO) {
tmp.annule_hard() ;
tmp.set_spectral_base(base_ref) ;
}
tmp.set_spectral_va().ylm() ;
evolve_outgoing_BC(pdt, nz_bound, tmp, sbckhi, xij_ki_hh, xijm1_ki_hh,
khib_hh, 0) ;
khib_hh *= 6*pdt ;
sbcmu = (18*mu_a_evol[jtime] - 9*mu_a_evol[jtime-1]
+ 2*mu_a_evol[jtime-2]) / (6*pdt) ;
if (sbcmu.get_etat() == ETATZERO) {
sbcmu.annule_hard() ;
sbcmu.set_spectral_base(base_pseudo) ;
}
sbcmu.set_spectral_va().ylm() ;
tmp = mu_a_evol[jtime] ;
if (tmp.get_etat() == ETATZERO) {
tmp.annule_hard() ;
tmp.set_spectral_base(base_pseudo) ;
}
tmp.set_spectral_va().ylm() ;
evolve_outgoing_BC(pdt, nz_bound, tmp, sbcmu, xij_mu_a, xijm1_mu_a,
mub_hata, 0) ;
mub_hata *= 6*pdt ;
sbckhi = (18*khi_a_evol[jtime] - 9*khi_a_evol[jtime-1]
+ 2*khi_a_evol[jtime-2]) / (6*pdt) ;
if (sbckhi.get_etat() == ETATZERO) {
sbckhi.annule_hard() ;
sbckhi.set_spectral_base(base_ref) ;
}
sbckhi.set_spectral_va().ylm() ;
tmp = khi_a_evol[jtime] ;
if (tmp.get_etat() == ETATZERO) {
tmp.annule_hard() ;
tmp.set_spectral_base(base_ref) ;
}
tmp.set_spectral_va().ylm() ;
evolve_outgoing_BC(pdt, nz_bound, tmp, sbckhi, xij_ki_a, xijm1_ki_a,
khib_hata, 0) ;
khib_hata *= 6*pdt ;
// Advance in time
// ---------------
jtime++ ;
ttime += pdt ;
the_time.update(ttime, jtime, ttime) ;
// Setting As and Bs for h^{ij} and \hat{A}^{ij}
set_AB_hata(A_hata_new, B_hata_new) ;
set_AB_hh(A_hh_new, B_hh_new) ;
hij_tt.set_A_tildeB( A_hh_new, B_hh_new, &par_bc_hh, &par_mat_hh ) ;
for (int i=1; i<=3; i++)
for (int j=i; j<=3; j++)
for (int l=nz_bound+1; l<nz; l++)
hij_tt.set(i,j).set_domain(l) = hijtt_old(i,j).domain(l) ;
hata_tt.set_A_tildeB( A_hata_new, B_hata_new, &par_bc_hata, &par_mat_hata ) ;
for (int i=1; i<=3; i++)
for (int j=i; j<=3; j++) {
for (int l=nz_bound+1; l<nz; l++)
hata_tt.set(i,j).set_domain(l) = hatatt_old(i,j).domain(l) ;
hata_tt.set(i,j).set_dzpuis(2) ;
}
// Computation of h^{ij} at new time-step
hh_det_one(hij_tt, &par_mat_hh) ;
// Reset of derived quantities
del_deriv() ;
// Update of khi's and mu's
//-------------------------
tmp = hij_tt( 1, 1 ) ;
tmp.mult_r() ; tmp.mult_r() ;
khi_hh_evol.update( tmp, jtime, the_time[jtime] ) ;
mu_hh_evol.update( hij_tt.mu(), jtime, the_time[jtime] ) ;
tmp = hata_tt( 1, 1 ) ;
tmp.mult_r() ; tmp.mult_r() ;
khi_a_evol.update( tmp, jtime, the_time[jtime] ) ;
mu_a_evol.update( hata_tt.mu(), jtime, the_time[jtime] ) ;
// Resolution of elliptic equations
// --------------------------------
psi_evol.update(psi_evol[jtime-1], jtime, ttime) ;
// \hat{A}^{ij} is computed at the new time-step
compute_X_from_momentum_constraint(hat_S, hata_tt, niter_elliptic) ;
// Iteration on the conformal factor
for (int k = 0; k < niter_elliptic; k++) {
psi_new = solve_psi(ener_euler) ;
psi_new = relax * psi_new + (1.-relax) * psi() ;
set_psi_del_npsi(psi_new) ;
}
set_npsi_del_n(npsi_evol[jtime-1]) ;
// Iteration on N*Psi ## play with the number of iterations...
npsi_evol.update(psi_evol[jtime-1], jtime, ttime) ;
for (int k = 0; k < niter_elliptic; k++) {
npsi_new = solve_npsi( ener_euler, s_euler ) ;
npsi_new = relax * npsi_new + (1.-relax) * npsi() ;
set_npsi_del_n(npsi_new) ;
}
// Iteration on beta ## play with the number of iterations...
beta_evol.update(beta_evol[jtime-1], jtime, ttime) ;
for (int k = 0; k < niter_elliptic; k++) {
beta_new = solve_beta(method_poisson_vect) ;
beta_new = relax * beta_new + (1.-relax) * beta() ;
beta_evol.update(beta_new, jtime, ttime) ;
}
des_meridian(vec_X()(1), 0., ray_des, "\\gb\\ur\\d", ngraph0+6,
graph_device) ;
des_meridian(vec_X()(2), 0., ray_des, "\\gb\\u\\gh\\d", ngraph0+7,
graph_device) ;
des_meridian(vec_X()(3), 0., ray_des, "\\gb\\u\\gf\\d", ngraph0+8,
graph_device) ;
tmp = A_hh() ;
tmp.set_spectral_va().ylm_i() ;
des_meridian(tmp, 0., ray_des, "A\\dh", ngraph0+9,
graph_device) ;
tmp = B_hh_new;
tmp.set_spectral_va().ylm_i() ;
des_meridian(tmp, 0., ray_des, "B\\dh", ngraph0+10,
graph_device) ;
des_meridian(trh(), 0., ray_des, "tr h", ngraph0+11,
graph_device) ;
des_meridian(hh()(1,1), 0., ray_des, "h\\urr\\d", ngraph0+12,
graph_device) ;
des_meridian(hh()(2,3), 0., ray_des, "h\\u\\gh\\gf\\d", ngraph0+13,
graph_device) ;
des_meridian(hh()(3,3), 0., ray_des, "h\\u\\gf\\gf\\d", ngraph0+14,
graph_device) ;
arrete(nopause) ;
}
par_A.clean_all() ;
par_B.clean_all() ;
par_mat_A_hh.clean_all() ;
par_mat_B_hh.clean_all() ;
par_bc_hh.clean_all() ;
par_mat_hh.clean_all() ;
par_bc_hata.clean_all() ;
par_mat_hata.clean_all() ;
}
//***************************************************************************
const Tbl& monitor_scalar(const Scalar& uu, Tbl& resu) {
assert( resu.get_ndim() == 1) ;
assert( resu.get_taille() >= 6) ;
resu.set_etat_qcq() ;
resu.set(0) = uu.val_grid_point(0,0,0,0) ;
resu.set(1) = max(max(uu)) ;
resu.set(2) = min(min(uu)) ;
const Mg3d& mg = *(uu.get_mp().get_mg()) ;
int nz = mg.get_nzone() ;
int nzm1 = nz - 1 ;
int nr = mg.get_nr(nzm1) ;
int nt = mg.get_nt(nzm1) ;
int np = mg.get_np(nzm1) ;
resu.set(3) = uu.val_grid_point(nzm1, 0, 0, nr-1) ;
resu.set(4) = uu.val_grid_point(nzm1, 0, nt-1, nr-1) ;
resu.set(5) = uu.val_grid_point(nzm1, np/2, nt-1, nr-1) ;
return resu ;
}
}
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