et_rot_diff_equil.C
/*
* Function Et_rot_diff::equilibrium
*
* (see file etoile.h for documentation)
*
*/
/*
* Copyright (c) 2001-2003 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 et_rot_diff_equil_C[] = "$Header: /cvsroot/Lorene/C++/Source/Etoile/et_rot_diff_equil.C,v 1.9 2014/10/13 08:52:57 j_novak Exp $" ;
/*
* $Id: et_rot_diff_equil.C,v 1.9 2014/10/13 08:52:57 j_novak Exp $
* $Log: et_rot_diff_equil.C,v $
* Revision 1.9 2014/10/13 08:52:57 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.8 2014/10/06 15:13:08 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.7 2005/10/05 15:15:30 j_novak
* Added a Param* as parameter of Etoile_rot::equilibrium
*
* Revision 1.6 2004/03/25 10:29:05 j_novak
* All LORENE's units are now defined in the namespace Unites (in file unites.h).
*
* Revision 1.5 2003/11/19 22:01:57 e_gourgoulhon
* -- Relaxation on logn and dzeta performed only if mer >= 10.
* -- err_grv2 is now evaluated also in the Newtonian case.
*
* Revision 1.4 2003/10/27 10:54:43 e_gourgoulhon
* Changed local variable name lambda_grv2 to lbda_grv2 in order not
* to shadow method name.
*
* Revision 1.3 2003/05/25 19:59:02 e_gourgoulhon
* Added the possibility to choose the factor a = R_eq / R0, instead of R0
* in the differential rotation law.
*
* Revision 1.2 2002/10/16 14:36:36 j_novak
* Reorganization of #include instructions of standard C++, in order to
* use experimental version 3 of gcc.
*
* Revision 1.1.1.1 2001/11/20 15:19:28 e_gourgoulhon
* LORENE
*
* Revision 1.1 2001/10/19 08:18:16 eric
* Initial revision
*
*
* $Header: /cvsroot/Lorene/C++/Source/Etoile/et_rot_diff_equil.C,v 1.9 2014/10/13 08:52:57 j_novak Exp $
*
*/
// Headers C
#include <cmath>
// Headers Lorene
#include "et_rot_diff.h"
#include "param.h"
#include "graphique.h"
#include "utilitaires.h"
#include "unites.h"
namespace Lorene {
void Et_rot_diff::equilibrium(double ent_c, double omega_c0, double fact_omega,
int nzadapt, const Tbl& ent_limit,
const Itbl& icontrol,
const Tbl& control, double mbar_wanted,
double aexp_mass, Tbl& diff, Param*) {
// Fundamental constants and units
// -------------------------------
using namespace Unites ;
// For the display
// ---------------
char display_bold[]="x[1m" ; display_bold[0] = 27 ;
char display_normal[] = "x[0m" ; display_normal[0] = 27 ;
// Grid parameters
// ---------------
const Mg3d* mg = mp.get_mg() ;
int nz = mg->get_nzone() ; // total number of domains
int nzm1 = nz - 1 ;
// The following is required to initialize mp_prev as a Map_et:
Map_et& mp_et = dynamic_cast<Map_et&>(mp) ;
// Index of the point at phi=0, theta=pi/2 at the surface of the star:
assert(mg->get_type_t() == SYM) ;
int l_b = nzet - 1 ;
int i_b = mg->get_nr(l_b) - 1 ;
int j_b = mg->get_nt(l_b) - 1 ;
int k_b = 0 ;
// Value of the enthalpy defining the surface of the star
double ent_b = ent_limit(nzet-1) ;
// Parameters to control the iteration
// -----------------------------------
int mer_max = icontrol(0) ;
int mer_rot = icontrol(1) ;
int mer_change_omega = icontrol(2) ;
int mer_fix_omega = icontrol(3) ;
int mer_mass = icontrol(4) ;
int mermax_poisson = icontrol(5) ;
int mer_triax = icontrol(6) ;
int delta_mer_kep = icontrol(7) ;
// Protections:
if (mer_change_omega < mer_rot) {
cout << "Et_rot_diff::equilibrium: mer_change_omega < mer_rot !" << endl ;
cout << " mer_change_omega = " << mer_change_omega << endl ;
cout << " mer_rot = " << mer_rot << endl ;
abort() ;
}
if (mer_fix_omega < mer_change_omega) {
cout << "Et_rot_diff::equilibrium: mer_fix_omega < mer_change_omega !"
<< endl ;
cout << " mer_fix_omega = " << mer_fix_omega << endl ;
cout << " mer_change_omega = " << mer_change_omega << endl ;
abort() ;
}
// In order to converge to a given baryon mass, shall the central
// enthalpy be varied or Omega ?
bool change_ent = true ;
if (mer_mass < 0) {
change_ent = false ;
mer_mass = abs(mer_mass) ;
}
double precis = control(0) ;
double omega_ini = control(1) ;
double relax = control(2) ;
double relax_prev = double(1) - relax ;
double relax_poisson = control(3) ;
double thres_adapt = control(4) ;
double ampli_triax = control(5) ;
double precis_adapt = control(6) ;
// Error indicators
// ----------------
diff.set_etat_qcq() ;
double& diff_ent = diff.set(0) ;
double& diff_nuf = diff.set(1) ;
double& diff_nuq = diff.set(2) ;
// double& diff_dzeta = diff.set(3) ;
// double& diff_ggg = diff.set(4) ;
double& diff_shift_x = diff.set(5) ;
double& diff_shift_y = diff.set(6) ;
double& vit_triax = diff.set(7) ;
// Parameters for the function Map_et::adapt
// -----------------------------------------
Param par_adapt ;
int nitermax = 100 ;
int niter ;
int adapt_flag = 1 ; // 1 = performs the full computation,
// 0 = performs only the rescaling by
// the factor alpha_r
int nz_search = nzet + 1 ; // Number of domains for searching the enthalpy
// isosurfaces
double alpha_r ;
double reg_map = 1. ; // 1 = regular mapping, 0 = contracting mapping
par_adapt.add_int(nitermax, 0) ; // maximum number of iterations to
// locate zeros by the secant method
par_adapt.add_int(nzadapt, 1) ; // number of domains where the adjustment
// to the isosurfaces of ent is to be
// performed
par_adapt.add_int(nz_search, 2) ; // number of domains to search for
// the enthalpy isosurface
par_adapt.add_int(adapt_flag, 3) ; // 1 = performs the full computation,
// 0 = performs only the rescaling by
// the factor alpha_r
par_adapt.add_int(j_b, 4) ; // theta index of the collocation point
// (theta_*, phi_*)
par_adapt.add_int(k_b, 5) ; // theta index of the collocation point
// (theta_*, phi_*)
par_adapt.add_int_mod(niter, 0) ; // number of iterations actually used in
// the secant method
par_adapt.add_double(precis_adapt, 0) ; // required absolute precision in
// the determination of zeros by
// the secant method
par_adapt.add_double(reg_map, 1) ; // 1. = regular mapping, 0 = contracting mapping
par_adapt.add_double(alpha_r, 2) ; // factor by which all the radial
// distances will be multiplied
par_adapt.add_tbl(ent_limit, 0) ; // array of values of the field ent
// to define the isosurfaces.
// Parameters for the function Map_et::poisson for nuf
// ----------------------------------------------------
double precis_poisson = 1.e-16 ;
Param par_poisson_nuf ;
par_poisson_nuf.add_int(mermax_poisson, 0) ; // maximum number of iterations
par_poisson_nuf.add_double(relax_poisson, 0) ; // relaxation parameter
par_poisson_nuf.add_double(precis_poisson, 1) ; // required precision
par_poisson_nuf.add_int_mod(niter, 0) ; // number of iterations actually used
par_poisson_nuf.add_cmp_mod( ssjm1_nuf ) ;
Param par_poisson_nuq ;
par_poisson_nuq.add_int(mermax_poisson, 0) ; // maximum number of iterations
par_poisson_nuq.add_double(relax_poisson, 0) ; // relaxation parameter
par_poisson_nuq.add_double(precis_poisson, 1) ; // required precision
par_poisson_nuq.add_int_mod(niter, 0) ; // number of iterations actually used
par_poisson_nuq.add_cmp_mod( ssjm1_nuq ) ;
Param par_poisson_tggg ;
par_poisson_tggg.add_int(mermax_poisson, 0) ; // maximum number of iterations
par_poisson_tggg.add_double(relax_poisson, 0) ; // relaxation parameter
par_poisson_tggg.add_double(precis_poisson, 1) ; // required precision
par_poisson_tggg.add_int_mod(niter, 0) ; // number of iterations actually used
par_poisson_tggg.add_cmp_mod( ssjm1_tggg ) ;
double lambda_tggg ;
par_poisson_tggg.add_double_mod( lambda_tggg ) ;
Param par_poisson_dzeta ;
double lbda_grv2 ;
par_poisson_dzeta.add_double_mod( lbda_grv2 ) ;
// Parameters for the function Tenseur::poisson_vect
// -------------------------------------------------
Param par_poisson_vect ;
par_poisson_vect.add_int(mermax_poisson, 0) ; // maximum number of iterations
par_poisson_vect.add_double(relax_poisson, 0) ; // relaxation parameter
par_poisson_vect.add_double(precis_poisson, 1) ; // required precision
par_poisson_vect.add_cmp_mod( ssjm1_khi ) ;
par_poisson_vect.add_tenseur_mod( ssjm1_wshift ) ;
par_poisson_vect.add_int_mod(niter, 0) ;
// Initializations
// ---------------
// Initial central angular velocity
double omega_c = 0 ;
double accrois_omega = (omega_c0 - omega_ini) /
double(mer_fix_omega - mer_change_omega) ;
update_metric() ; // update of the metric coefficients
equation_of_state() ; // update of the density, pressure, etc...
hydro_euler() ; // update of the hydro quantities relative to the
// Eulerian observer
// Quantities at the previous step :
Map_et mp_prev = mp_et ;
Tenseur ent_prev = ent ;
Tenseur logn_prev = logn ;
Tenseur dzeta_prev = dzeta ;
// Creation of uninitialized tensors:
Tenseur source_nuf(mp) ; // source term in the equation for nuf
Tenseur source_nuq(mp) ; // source term in the equation for nuq
Tenseur source_dzf(mp) ; // matter source term in the eq. for dzeta
Tenseur source_dzq(mp) ; // quadratic source term in the eq. for dzeta
Tenseur source_tggg(mp) ; // source term in the eq. for tggg
Tenseur source_shift(mp, 1, CON, mp.get_bvect_cart()) ;
// source term for shift
Tenseur mlngamma(mp) ; // centrifugal potential
// Preparations for the Poisson equations:
// --------------------------------------
if (nuf.get_etat() == ETATZERO) {
nuf.set_etat_qcq() ;
nuf.set() = 0 ;
}
if (relativistic) {
if (nuq.get_etat() == ETATZERO) {
nuq.set_etat_qcq() ;
nuq.set() = 0 ;
}
if (tggg.get_etat() == ETATZERO) {
tggg.set_etat_qcq() ;
tggg.set() = 0 ;
}
if (dzeta.get_etat() == ETATZERO) {
dzeta.set_etat_qcq() ;
dzeta.set() = 0 ;
}
}
ofstream fichconv("convergence.d") ; // Output file for diff_ent
fichconv << "# diff_ent GRV2 max_triax vit_triax" << endl ;
ofstream fichfreq("frequency.d") ; // Output file for omega_c
fichfreq << "# f [Hz]" << endl ;
ofstream fichevol("evolution.d") ; // Output file for various quantities
fichevol <<
"# |dH/dr_eq/dH/dr_pole| r_pole/r_eq ent_c"
<< endl ;
diff_ent = 1 ;
double err_grv2 = 1 ;
double max_triax_prev = 0 ; // Triaxial amplitude at previous step
//=========================================================================
// Start of iteration
//=========================================================================
for(int mer=0 ; (diff_ent > precis) && (mer<mer_max) ; mer++ ) {
cout << "-----------------------------------------------" << endl ;
cout << "step: " << mer << endl ;
cout << "diff_ent = " << display_bold << diff_ent << display_normal
<< endl ;
cout << "err_grv2 = " << err_grv2 << endl ;
fichconv << mer ;
fichfreq << mer ;
fichevol << mer ;
if (mer >= mer_rot) {
if (mer < mer_change_omega) {
omega_c = omega_ini ;
}
else {
if (mer <= mer_fix_omega) {
omega_c = omega_ini + accrois_omega *
(mer - mer_change_omega) ;
}
}
}
//-----------------------------------------------
// Sources of the Poisson equations
//-----------------------------------------------
// Source for nu
// -------------
Tenseur beta = log(bbb) ;
beta.set_std_base() ;
if (relativistic) {
source_nuf = qpig * a_car *( ener_euler + s_euler ) ;
source_nuq = ak_car - flat_scalar_prod(logn.gradient_spher(),
logn.gradient_spher() + beta.gradient_spher()) ;
}
else {
source_nuf = qpig * nbar ;
source_nuq = 0 ;
}
source_nuf.set_std_base() ;
source_nuq.set_std_base() ;
// Source for dzeta
// ----------------
source_dzf = 2 * qpig * a_car * (press + (ener_euler+press) * uuu*uuu ) ;
source_dzf.set_std_base() ;
source_dzq = 1.5 * ak_car - flat_scalar_prod(logn.gradient_spher(),
logn.gradient_spher() ) ;
source_dzq.set_std_base() ;
// Source for tggg
// ---------------
source_tggg = 4 * qpig * nnn * a_car * bbb * press ;
source_tggg.set_std_base() ;
(source_tggg.set()).mult_rsint() ;
// Source for shift
// ----------------
// Matter term:
source_shift = (-4*qpig) * nnn * a_car * (ener_euler + press)
* u_euler ;
// Quadratic terms:
Tenseur vtmp = 6 * beta.gradient_spher() - 2 * logn.gradient_spher() ;
vtmp.change_triad(mp.get_bvect_cart()) ;
Tenseur squad = nnn * flat_scalar_prod(tkij, vtmp) ;
// The addition of matter terms and quadratic terms is performed
// component by component because u_euler is contravariant,
// while squad is covariant.
if (squad.get_etat() == ETATQCQ) {
for (int i=0; i<3; i++) {
source_shift.set(i) += squad(i) ;
}
}
source_shift.set_std_base() ;
//----------------------------------------------
// Resolution of the Poisson equation for nuf
//----------------------------------------------
source_nuf().poisson(par_poisson_nuf, nuf.set()) ;
cout << "Test of the Poisson equation for nuf :" << endl ;
Tbl err = source_nuf().test_poisson(nuf(), cout, true) ;
diff_nuf = err(0, 0) ;
//---------------------------------------
// Triaxial perturbation of nuf
//---------------------------------------
if (mer == mer_triax) {
if ( mg->get_np(0) == 1 ) {
cout <<
"Et_rot_diff::equilibrium: np must be stricly greater than 1"
<< endl << " to set a triaxial perturbation !" << endl ;
abort() ;
}
const Coord& phi = mp.phi ;
const Coord& sint = mp.sint ;
Cmp perturb(mp) ;
perturb = 1 + ampli_triax * sint*sint * cos(2*phi) ;
nuf.set() = nuf() * perturb ;
nuf.set_std_base() ; // set the bases for spectral expansions
// to be the standard ones for a
// scalar field
}
// Monitoring of the triaxial perturbation
// ---------------------------------------
Valeur& va_nuf = nuf.set().va ;
va_nuf.coef() ; // Computes the spectral coefficients
double max_triax = 0 ;
if ( mg->get_np(0) > 1 ) {
for (int l=0; l<nz; l++) { // loop on the domains
for (int j=0; j<mg->get_nt(l); j++) {
for (int i=0; i<mg->get_nr(l); i++) {
// Coefficient of cos(2 phi) :
double xcos2p = (*(va_nuf.c_cf))(l, 2, j, i) ;
// Coefficient of sin(2 phi) :
double xsin2p = (*(va_nuf.c_cf))(l, 3, j, i) ;
double xx = sqrt( xcos2p*xcos2p + xsin2p*xsin2p ) ;
max_triax = ( xx > max_triax ) ? xx : max_triax ;
}
}
}
}
cout << "Triaxial part of nuf : " << max_triax << endl ;
if (relativistic) {
//----------------------------------------------
// Resolution of the Poisson equation for nuq
//----------------------------------------------
source_nuq().poisson(par_poisson_nuq, nuq.set()) ;
cout << "Test of the Poisson equation for nuq :" << endl ;
err = source_nuq().test_poisson(nuq(), cout, true) ;
diff_nuq = err(0, 0) ;
//---------------------------------------------------------
// Resolution of the vector Poisson equation for the shift
//---------------------------------------------------------
if (source_shift.get_etat() != ETATZERO) {
for (int i=0; i<3; i++) {
if(source_shift(i).dz_nonzero()) {
assert( source_shift(i).get_dzpuis() == 4 ) ;
}
else{
(source_shift.set(i)).set_dzpuis(4) ;
}
}
}
//##
// source_shift.dec2_dzpuis() ; // dzpuis 4 -> 2
double lambda_shift = double(1) / double(3) ;
if ( mg->get_np(0) == 1 ) {
lambda_shift = 0 ;
}
source_shift.poisson_vect(lambda_shift, par_poisson_vect,
shift, w_shift, khi_shift) ;
cout << "Test of the Poisson equation for shift_x :" << endl ;
err = source_shift(0).test_poisson(shift(0), cout, true) ;
diff_shift_x = err(0, 0) ;
cout << "Test of the Poisson equation for shift_y :" << endl ;
err = source_shift(1).test_poisson(shift(1), cout, true) ;
diff_shift_y = err(0, 0) ;
// Computation of tnphi and nphi from the Cartesian components
// of the shift
// -----------------------------------------------------------
fait_nphi() ;
}
//-----------------------------------------
// Determination of the fluid velociy U
//-----------------------------------------
if (mer > mer_fix_omega + delta_mer_kep) {
omega_c *= fact_omega ; // Increase of the angular velocity if
} // fact_omega != 1
bool omega_trop_grand = false ;
bool kepler = true ;
while ( kepler ) {
// Possible decrease of Omega to ensure a velocity < c
bool superlum = true ;
while ( superlum ) {
// Computation of Omega(r,theta)
if (omega_c == 0.) {
omega_field = 0 ;
}
else {
par_frot.set(0) = omega_c ;
if (par_frot(2) != double(0)) { // fixed a = R_eq / R_0
par_frot.set(1) = ray_eq() / par_frot(2) ;
}
double omeg_min = 0 ;
double omeg_max = omega_c ;
double precis1 = 1.e-14 ;
int nitermax1 = 100 ;
fait_omega_field(omeg_min, omeg_max, precis1, nitermax1) ;
}
// New fluid velocity U :
Cmp tmp = omega_field() - nphi() ;
tmp.annule(nzm1) ;
tmp.std_base_scal() ;
tmp.mult_rsint() ; // Multiplication by r sin(theta)
uuu = bbb() / nnn() * tmp ;
if (uuu.get_etat() == ETATQCQ) {
// Same basis as (Omega -N^phi) r sin(theta) :
((uuu.set()).va).set_base( (tmp.va).base ) ;
}
// Is the new velocity larger than c in the equatorial plane ?
superlum = false ;
for (int l=0; l<nzet; l++) {
for (int i=0; i<mg->get_nr(l); i++) {
double u1 = uuu()(l, 0, j_b, i) ;
if (u1 >= 1.) { // superluminal velocity
superlum = true ;
cout << "U > c for l, i : " << l << " " << i
<< " U = " << u1 << endl ;
}
}
}
if ( superlum ) {
cout << "**** VELOCITY OF LIGHT REACHED ****" << endl ;
omega_c /= fact_omega ; // Decrease of Omega_c
cout << "New central rotation frequency : "
<< omega/(2.*M_PI) * f_unit << " Hz" << endl ;
omega_trop_grand = true ;
}
} // end of while ( superlum )
// New computation of U (which this time is not superluminal)
// as well as of gam_euler, ener_euler, etc...
// -----------------------------------
hydro_euler() ;
//------------------------------------------------------
// First integral of motion
//------------------------------------------------------
// Centrifugal potential :
if (relativistic) {
mlngamma = - log( gam_euler ) ;
}
else {
mlngamma = - 0.5 * uuu*uuu ;
}
// Equatorial values of various potentials :
double nuf_b = nuf()(l_b, k_b, j_b, i_b) ;
double nuq_b = nuq()(l_b, k_b, j_b, i_b) ;
double mlngamma_b = mlngamma()(l_b, k_b, j_b, i_b) ;
double primf_b = prim_field()(l_b, k_b, j_b, i_b) ;
// Central values of various potentials :
double nuf_c = nuf()(0,0,0,0) ;
double nuq_c = nuq()(0,0,0,0) ;
double mlngamma_c = 0 ;
double primf_c = prim_field()(0,0,0,0) ;
// Scale factor to ensure that the enthalpy is equal to ent_b at
// the equator
double alpha_r2 = ( ent_c - ent_b + mlngamma_c - mlngamma_b
+ nuq_c - nuq_b + primf_c - primf_b)
/ ( nuf_b - nuf_c ) ;
alpha_r = sqrt(alpha_r2) ;
cout << "alpha_r = " << alpha_r << endl ;
// Readjustment of nu :
// -------------------
logn = alpha_r2 * nuf + nuq ;
double nu_c = logn()(0,0,0,0) ;
// First integral --> enthalpy in all space
//-----------------
ent = (ent_c + nu_c + mlngamma_c) - logn - mlngamma - prim_field ;
// Test: is the enthalpy negative somewhere in the equatorial plane
// inside the star ? If yes, this means that the Keplerian velocity
// has been overstep.
kepler = false ;
for (int l=0; l<nzet; l++) {
int imax = mg->get_nr(l) - 1 ;
if (l == l_b) imax-- ; // The surface point is skipped
for (int i=0; i<imax; i++) {
if ( ent()(l, 0, j_b, i) < 0. ) {
kepler = true ;
cout << "ent < 0 for l, i : " << l << " " << i
<< " ent = " << ent()(l, 0, j_b, i) << endl ;
}
}
}
if ( kepler ) {
cout << "**** KEPLERIAN VELOCITY REACHED ****" << endl ;
omega_c /= fact_omega ; // Omega is decreased
cout << "New central rotation frequency : "
<< omega_c/(2.*M_PI) * f_unit << " Hz" << endl ;
omega_trop_grand = true ;
}
} // End of while ( kepler )
if ( omega_trop_grand ) { // fact_omega is decreased for the
// next step
fact_omega = sqrt( fact_omega ) ;
cout << "**** New fact_omega : " << fact_omega << endl ;
}
//----------------------------------------------------
// Adaptation of the mapping to the new enthalpy field
//----------------------------------------------------
// Shall the adaptation be performed (cusp) ?
// ------------------------------------------
double dent_eq = ent().dsdr()(l_b, k_b, j_b, i_b) ;
double dent_pole = ent().dsdr()(l_b, k_b, 0, i_b) ;
double rap_dent = fabs( dent_eq / dent_pole ) ;
cout << "| dH/dr_eq / dH/dr_pole | = " << rap_dent << endl ;
if ( rap_dent < thres_adapt ) {
adapt_flag = 0 ; // No adaptation of the mapping
cout << "******* FROZEN MAPPING *********" << endl ;
}
else{
adapt_flag = 1 ; // The adaptation of the mapping is to be
// performed
}
mp_prev = mp_et ;
mp.adapt(ent(), par_adapt) ;
//----------------------------------------------------
// Computation of the enthalpy at the new grid points
//----------------------------------------------------
mp_prev.homothetie(alpha_r) ;
mp.reevaluate(&mp_prev, nzet+1, ent.set()) ;
//----------------------------------------------------
// Equation of state
//----------------------------------------------------
equation_of_state() ; // computes new values for nbar (n), ener (e)
// and press (p) from the new ent (H)
//---------------------------------------------------------
// Matter source terms in the gravitational field equations
//---------------------------------------------------------
//## Computation of tnphi and nphi from the Cartesian components
// of the shift for the test in hydro_euler():
fait_nphi() ;
hydro_euler() ; // computes new values for ener_euler (E),
// s_euler (S) and u_euler (U^i)
if (relativistic) {
//-------------------------------------------------------
// 2-D Poisson equation for tggg
//-------------------------------------------------------
mp.poisson2d(source_tggg(), mp.cmp_zero(), par_poisson_tggg,
tggg.set()) ;
//-------------------------------------------------------
// 2-D Poisson equation for dzeta
//-------------------------------------------------------
mp.poisson2d(source_dzf(), source_dzq(), par_poisson_dzeta,
dzeta.set()) ;
err_grv2 = lbda_grv2 - 1;
cout << "GRV2: " << err_grv2 << endl ;
}
else {
err_grv2 = grv2() ;
}
//---------------------------------------
// Computation of the metric coefficients (except for N^phi)
//---------------------------------------
// Relaxations on nu and dzeta :
if (mer >= 10) {
logn = relax * logn + relax_prev * logn_prev ;
dzeta = relax * dzeta + relax_prev * dzeta_prev ;
}
// Update of the metric coefficients N, A, B and computation of K_ij :
update_metric() ;
//-----------------------
// Informations display
//-----------------------
partial_display(cout) ;
fichfreq << " " << omega_c / (2*M_PI) * f_unit ;
fichevol << " " << rap_dent ;
fichevol << " " << ray_pole() / ray_eq() ;
fichevol << " " << ent_c ;
//-----------------------------------------
// Convergence towards a given baryon mass
//-----------------------------------------
if (mer > mer_mass) {
double xx ;
if (mbar_wanted > 0.) {
xx = mass_b() / mbar_wanted - 1. ;
cout << "Discrep. baryon mass <-> wanted bar. mass : " << xx
<< endl ;
}
else{
xx = mass_g() / fabs(mbar_wanted) - 1. ;
cout << "Discrep. grav. mass <-> wanted grav. mass : " << xx
<< endl ;
}
double xprog = ( mer > 2*mer_mass) ? 1. :
double(mer-mer_mass)/double(mer_mass) ;
xx *= xprog ;
double ax = .5 * ( 2. + xx ) / (1. + xx ) ;
double fact = pow(ax, aexp_mass) ;
cout << " xprog, xx, ax, fact : " << xprog << " " <<
xx << " " << ax << " " << fact << endl ;
if ( change_ent ) {
ent_c *= fact ;
}
else {
if (mer%4 == 0) omega_c *= fact ;
}
}
//------------------------------------------------------------
// Relative change in enthalpy with respect to previous step
//------------------------------------------------------------
Tbl diff_ent_tbl = diffrel( ent(), ent_prev() ) ;
diff_ent = diff_ent_tbl(0) ;
for (int l=1; l<nzet; l++) {
diff_ent += diff_ent_tbl(l) ;
}
diff_ent /= nzet ;
fichconv << " " << log10( fabs(diff_ent) + 1.e-16 ) ;
fichconv << " " << log10( fabs(err_grv2) + 1.e-16 ) ;
fichconv << " " << log10( fabs(max_triax) + 1.e-16 ) ;
vit_triax = 0 ;
if ( (mer > mer_triax+1) && (max_triax_prev > 1e-13) ) {
vit_triax = (max_triax - max_triax_prev) / max_triax_prev ;
}
fichconv << " " << vit_triax ;
//------------------------------
// Recycling for the next step
//------------------------------
ent_prev = ent ;
logn_prev = logn ;
dzeta_prev = dzeta ;
max_triax_prev = max_triax ;
fichconv << endl ;
fichfreq << endl ;
fichevol << endl ;
fichconv.flush() ;
fichfreq.flush() ;
fichevol.flush() ;
} // End of main loop
//=========================================================================
// End of iteration
//=========================================================================
fichconv.close() ;
fichfreq.close() ;
fichevol.close() ;
}
}
Lorene::Cmp
Component of a tensorial field *** DEPRECATED : use class Scalar instead ***.
Definition cmp.h:446
Lorene::Cmp::mult_rsint
void mult_rsint()
Multiplication by .
Definition cmp_r_manip.C:116
Lorene::Cmp::va
Valeur va
The numerical value of the Cmp.
Definition cmp.h:464
Lorene::Cmp::std_base_scal
void std_base_scal()
Sets the spectral bases of the Valeur va to the standard ones for a scalar.
Definition cmp.C:644
Lorene::Cmp::annule
void annule(int l)
Sets the Cmp to zero in a given domain.
Definition cmp.C:348
Lorene::Coord
Active physical coordinates and mapping derivatives.
Definition coord.h:90
Lorene::Et_rot_diff::fait_omega_field
void fait_omega_field(double omeg_min, double omeg_max, double precis, int nitermax)
Computes (member omega_field ).
Definition et_rot_diff_faitomeg.C:73
Lorene::Et_rot_diff::prim_field
Tenseur prim_field
Field .
Definition et_rot_diff.h:111
Lorene::Et_rot_diff::hydro_euler
virtual void hydro_euler()
Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid fram...
Definition et_rot_diff_hydro.C:61
Lorene::Et_rot_diff::omega_field
Tenseur omega_field
Field .
Definition et_rot_diff.h:105
Lorene::Et_rot_diff::par_frot
Tbl par_frot
Parameters of the function .
Definition et_rot_diff.h:102
Lorene::Et_rot_diff::equilibrium
virtual void equilibrium(double ent_c, double omega0, double fact_omega, int nzadapt, const Tbl &ent_limit, const Itbl &icontrol, const Tbl &control, double mbar_wanted, double aexp_mass, Tbl &diff, Param *=0x0)
Computes an equilibrium configuration.
Definition et_rot_diff_equil.C:88
Lorene::Etoile_rot::ssjm1_wshift
Tenseur ssjm1_wshift
Effective source at the previous step for the resolution of the vector Poisson equation for .
Definition etoile.h:1625
Lorene::Etoile_rot::uuu
Tenseur uuu
Norm of u_euler.
Definition etoile.h:1518
Lorene::Etoile_rot::omega
double omega
Rotation angular velocity ([f_unit] ).
Definition etoile.h:1501
Lorene::Etoile_rot::logn
Tenseur & logn
Metric potential = logn_auto.
Definition etoile.h:1521
Lorene::Etoile_rot::nuq
Tenseur nuq
Part of the Metric potential = logn generated by the quadratic terms.
Definition etoile.h:1531
Lorene::Etoile_rot::mass_g
virtual double mass_g() const
Gravitational mass.
Definition et_rot_global.C:157
Lorene::Etoile_rot::khi_shift
Tenseur khi_shift
Scalar used in the decomposition of shift , following Shibata's prescription [Prog.
Definition etoile.h:1560
Lorene::Etoile_rot::tggg
Tenseur tggg
Metric potential .
Definition etoile.h:1537
Lorene::Etoile_rot::nuf
Tenseur nuf
Part of the Metric potential = logn generated by the matter terms.
Definition etoile.h:1526
Lorene::Etoile_rot::ssjm1_tggg
Cmp ssjm1_tggg
Effective source at the previous step for the resolution of the Poisson equation for tggg .
Definition etoile.h:1608
Lorene::Etoile_rot::nphi
Tenseur nphi
Metric coefficient .
Definition etoile.h:1510
Lorene::Etoile_rot::mass_b
virtual double mass_b() const
Baryon mass.
Definition et_rot_global.C:125
Lorene::Etoile_rot::bbb
Tenseur bbb
Metric factor B.
Definition etoile.h:1504
Lorene::Etoile_rot::update_metric
void update_metric()
Computes metric coefficients from known potentials.
Definition et_rot_upmetr.C:69
Lorene::Etoile_rot::ak_car
Tenseur ak_car
Scalar .
Definition etoile.h:1586
Lorene::Etoile_rot::dzeta
Tenseur & dzeta
Metric potential = beta_auto.
Definition etoile.h:1534
Lorene::Etoile_rot::ssjm1_nuf
Cmp ssjm1_nuf
Effective source at the previous step for the resolution of the Poisson equation for nuf by means of ...
Definition etoile.h:1592
Lorene::Etoile_rot::grv2
virtual double grv2() const
Error on the virial identity GRV2.
Definition et_rot_global.C:254
Lorene::Etoile_rot::fait_nphi
void fait_nphi()
Computes tnphi and nphi from the Cartesian components of the shift, stored in shift .
Definition etoile_rot.C:781
Lorene::Etoile_rot::ssjm1_khi
Cmp ssjm1_khi
Effective source at the previous step for the resolution of the Poisson equation for the scalar by m...
Definition etoile.h:1616
Lorene::Etoile_rot::tkij
Tenseur_sym tkij
Tensor related to the extrinsic curvature tensor by .
Definition etoile.h:1567
Lorene::Etoile_rot::ssjm1_nuq
Cmp ssjm1_nuq
Effective source at the previous step for the resolution of the Poisson equation for nuq by means of ...
Definition etoile.h:1598
Lorene::Etoile_rot::w_shift
Tenseur w_shift
Vector used in the decomposition of shift , following Shibata's prescription [Prog.
Definition etoile.h:1550
Lorene::Etoile_rot::partial_display
virtual void partial_display(ostream &) const
Printing of some informations, excluding all global quantities.
Definition etoile_rot.C:630
Lorene::Etoile::nzet
int nzet
Number of domains of *mp occupied by the star.
Definition etoile.h:432
Lorene::Etoile::ray_eq
double ray_eq() const
Coordinate radius at , [r_unit].
Definition etoile_global.C:120
Lorene::Etoile::nnn
Tenseur nnn
Total lapse function.
Definition etoile.h:509
Lorene::Etoile::nbar
Tenseur nbar
Baryon density in the fluid frame.
Definition etoile.h:459
Lorene::Etoile::equation_of_state
virtual void equation_of_state()
Computes the proper baryon and energy density, as well as pressure from the enthalpy.
Definition etoile.C:566
Lorene::Etoile::u_euler
Tenseur u_euler
Fluid 3-velocity with respect to the Eulerian observer.
Definition etoile.h:474
Lorene::Etoile::gam_euler
Tenseur gam_euler
Lorentz factor between the fluid and Eulerian observers.
Definition etoile.h:471
Lorene::Etoile::mp
Map & mp
Mapping associated with the star.
Definition etoile.h:429
Lorene::Etoile::press
Tenseur press
Fluid pressure.
Definition etoile.h:461
Lorene::Etoile::relativistic
bool relativistic
Indicator of relativity: true for a relativistic star, false for a Newtonian one.
Definition etoile.h:437
Lorene::Etoile::ener_euler
Tenseur ener_euler
Total energy density in the Eulerian frame.
Definition etoile.h:465
Lorene::Etoile::shift
Tenseur shift
Total shift vector.
Definition etoile.h:512
Lorene::Etoile::s_euler
Tenseur s_euler
Trace of the stress tensor in the Eulerian frame.
Definition etoile.h:468
Lorene::Etoile::ent
Tenseur ent
Log-enthalpy (relativistic case) or specific enthalpy (Newtonian case).
Definition etoile.h:457
Lorene::Etoile::a_car
Tenseur a_car
Total conformal factor .
Definition etoile.h:515
Lorene::Etoile::ray_pole
double ray_pole() const
Coordinate radius at [r_unit].
Definition etoile_global.C:415
Lorene::Itbl
Basic integer array class.
Definition itbl.h:122
Lorene::Map_et
Radial mapping of rather general form.
Definition map.h:2752
Lorene::Map_et::homothetie
virtual void homothetie(double lambda)
Sets a new radial scale.
Definition map_et.C:905
Lorene::Mg3d
Multi-domain grid.
Definition grilles.h:273
Lorene::Mg3d::get_type_t
int get_type_t() const
Returns the type of sampling in the direction: SYM : : symmetry with respect to the equatorial pl...
Definition grilles.h:485
Lorene::Mg3d::get_np
int get_np(int l) const
Returns the number of points in the azimuthal direction ( ) in domain no. l.
Definition grilles.h:462
Lorene::Mg3d::get_nt
int get_nt(int l) const
Returns the number of points in the co-latitude direction ( ) in domain no. l.
Definition grilles.h:457
Lorene::Mg3d::get_nzone
int get_nzone() const
Returns the number of domains.
Definition grilles.h:448
Lorene::Mg3d::get_nr
int get_nr(int l) const
Returns the number of points in the radial direction ( ) in domain no. l.
Definition grilles.h:452
Lorene::Param
Parameter storage.
Definition param.h:125
Lorene::Param::add_double
void add_double(const double &x, int position=0)
Adds the the address of a new double to the list.
Definition param.C:315
Lorene::Param::add_cmp_mod
void add_cmp_mod(Cmp &ti, int position=0)
Adds the address of a new modifiable Cmp to the list.
Definition param.C:1004
Lorene::Param::add_double_mod
void add_double_mod(double &x, int position=0)
Adds the address of a new modifiable double to the list.
Definition param.C:453
Lorene::Param::add_int_mod
void add_int_mod(int &n, int position=0)
Adds the address of a new modifiable int to the list.
Definition param.C:385
Lorene::Param::add_tenseur_mod
void add_tenseur_mod(Tenseur &ti, int position=0)
Adds the address of a new modifiable Tenseur to the list.
Definition param.C:1142
Lorene::Param::add_int
void add_int(const int &n, int position=0)
Adds the address of a new int to the list.
Definition param.C:246
Lorene::Param::add_tbl
void add_tbl(const Tbl &ti, int position=0)
Adds the address of a new Tbl to the list.
Definition param.C:522
Lorene::Tbl
Basic array class.
Definition tbl.h:161
Lorene::Tbl::set_etat_qcq
void set_etat_qcq()
Sets the logical state to ETATQCQ (ordinary state).
Definition tbl.C:361
Lorene::Tbl::set
double & set(int i)
Read/write of a particular element (index i) (1D case).
Definition tbl.h:281
Lorene::Tenseur
Tensor handling *** DEPRECATED : use class Tensor instead ***.
Definition tenseur.h:301
Lorene::Tenseur::set
Cmp & set()
Read/write for a scalar (see also operator=(const Cmp&) ).
Definition tenseur.C:824
Lorene::Tenseur::set_std_base
void set_std_base()
Set the standard spectal basis of decomposition for each component.
Definition tenseur.C:1170
Lorene::Tenseur::gradient_spher
const Tenseur & gradient_spher() const
Returns the gradient of *this (Spherical coordinates) (scalar field only).
Definition tenseur.C:1548
Lorene::Tenseur::change_triad
void change_triad(const Base_vect &new_triad)
Sets a new vectorial basis (triad) of decomposition and modifies the components accordingly.
Definition tenseur.C:668
Lorene::Tenseur::poisson_vect
void poisson_vect(double lambda, Param &par, Tenseur &shift, Tenseur &vect, Tenseur &scal) const
Solves the vectorial Poisson equation : .
Definition tenseur_pde.C:118
Lorene::Tenseur::get_etat
int get_etat() const
Returns the logical state.
Definition tenseur.h:707
Lorene::Valeur
Values and coefficients of a (real-value) function.
Definition valeur.h:287
Lorene::Valeur::c_cf
Mtbl_cf * c_cf
Coefficients of the spectral expansion of the function.
Definition valeur.h:302
Lorene::Valeur::coef
void coef() const
Computes the coeffcients of *this.
Definition valeur_coef.C:148
Lorene::sqrt
Cmp sqrt(const Cmp &)
Square root.
Definition cmp_math.C:220
Lorene::log10
Cmp log10(const Cmp &)
Basis 10 logarithm.
Definition cmp_math.C:322
Lorene::diffrel
Tbl diffrel(const Cmp &a, const Cmp &b)
Relative difference between two Cmp (norme version).
Definition cmp_math.C:504
Lorene::pow
Cmp pow(const Cmp &, int)
Power .
Definition cmp_math.C:348
Lorene::cos
Cmp cos(const Cmp &)
Cosine.
Definition cmp_math.C:94
Lorene::abs
Cmp abs(const Cmp &)
Absolute value.
Definition cmp_math.C:410
Lorene::log
Cmp log(const Cmp &)
Neperian logarithm.
Definition cmp_math.C:296
Lorene::flat_scalar_prod
Tenseur flat_scalar_prod(const Tenseur &t1, const Tenseur &t2)
Scalar product of two Tenseur when the metric is : performs the contraction of the last index of t1 w...
Definition tenseur_operateur.C:653
Lorene
Lorene prototypes.
Definition app_hor.h:64
Lorene::phi
Coord phi
coordinate centered on the grid
Definition map.h:720
Lorene::sint
Coord sint
Definition map.h:721
Unites
Standard units of space, time and mass.