et_bfrot_equilibre.C
/*
* Method of class Et_rot_bifluid to compute a static spherical configuration.
*
* (see file etoile.h for documentation).
*
*/
/*
* Copyright (c) 2001 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_bfrot_equilibre_C[] = "$Header: /cvsroot/Lorene/C++/Source/Etoile/et_bfrot_equilibre.C,v 1.20 2015/06/10 14:39:17 a_sourie Exp $" ;
/*
* $Id: et_bfrot_equilibre.C,v 1.20 2015/06/10 14:39:17 a_sourie Exp $
* $Log: et_bfrot_equilibre.C,v $
* Revision 1.20 2015/06/10 14:39:17 a_sourie
* New class Eos_bf_tabul for tabulated 2-fluid EoSs and associated functions for the computation of rotating stars with such EoSs.
*
* Revision 1.19 2014/10/13 08:52:54 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.18 2014/10/06 15:13:07 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.17 2006/03/13 10:02:27 j_novak
* Added things for triaxial perturbations.
*
* Revision 1.16 2004/09/01 10:56:05 r_prix
* added option of converging baryon-mass to equilibrium_bi()
*
* Revision 1.15 2004/08/30 09:54:20 r_prix
* experimental version of Kepler-limit finder for 2-fluid stars
*
* Revision 1.14 2004/03/25 10:29:03 j_novak
* All LORENE's units are now defined in the namespace Unites (in file unites.h).
*
* Revision 1.13 2003/12/11 12:43:35 r_prix
* activated adaptive grid for 2-fluid star (taken from Etoile_rot)
*
* Revision 1.12 2003/12/04 14:28:26 r_prix
* allow for the case of "slow-rot-style" EOS inversion, in which we need to adapt
* the inner domain to n_outer=0 instead of mu_outer=0 ...
* (this should only be used for comparison to analytic slow-rot solution!)
*
* Revision 1.11 2003/11/25 12:49:44 j_novak
* Modified headers to compile on IRIX. Changed Mapping to be Map_af (speed
* enhancement).
*
* Revision 1.10 2003/11/20 14:01:25 r_prix
* changed member names to better conform to Lorene coding standards:
* J_euler -> j_euler, EpS_euler -> enerps_euler, Delta_car -> delta_car
*
* Revision 1.9 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 1.8 2003/11/18 18:38:11 r_prix
* use of new member EpS_euler: matter sources in equilibrium() and global quantities
* no longer distinguish Newtonian/relativistic, as all terms should have the right limit...
*
* Revision 1.7 2003/11/17 13:49:43 r_prix
* - moved superluminal check into hydro_euler()
* - removed some warnings
*
* Revision 1.6 2003/11/13 12:14:35 r_prix
* *) removed all use of etoile-type specific u_euler, press
* and use 3+1 components of Tmunu instead
*
* Revision 1.5 2002/10/16 14:36:35 j_novak
* Reorganization of #include instructions of standard C++, in order to
* use experimental version 3 of gcc.
*
* Revision 1.4 2002/04/05 09:09:36 j_novak
* The inversion of the EOS for 2-fluids polytrope has been modified.
* Some errors in the determination of the surface were corrected.
*
* Revision 1.3 2002/01/16 15:03:28 j_novak
* *** empty log message ***
*
* Revision 1.2 2002/01/03 15:30:28 j_novak
* Some comments modified.
*
* Revision 1.1.1.1 2001/11/20 15:19:28 e_gourgoulhon
* LORENE
*
* Revision 1.1 2001/06/22 15:40:06 novak
* Initial revision
*
*
* $Header: /cvsroot/Lorene/C++/Source/Etoile/et_bfrot_equilibre.C,v 1.20 2015/06/10 14:39:17 a_sourie Exp $
*
*/
// Headers C
#include <cmath>
// Headers Lorene
#include "et_rot_bifluid.h"
#include "param.h"
#include "unites.h"
#include "graphique.h"
#include "utilitaires.h"
namespace Lorene {
//-------------------------------------------------------------------------
//-------------------------------------------------------------------------
// Axial Equilibrium
//-------------------------------------------------------------------------
//-------------------------------------------------------------------------
void Et_rot_bifluid::equilibrium_bi
(double ent_c, double ent2_c, double omega0, double omega20,
const Tbl& ent_limit, const Tbl& ent2_limit, const Itbl& icontrol,
const Tbl& control, Tbl& diff,
int mer_mass, double mbar1_wanted, double mbar2_wanted, double aexp_mass)
{
// 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
// The following is required to initialize mp_prev as a Map_af
Map_et& mp_et = dynamic_cast<Map_et&>(mp) ; // reference
// 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 enthalpies defining the surface of each fluid
double ent1_b = ent_limit(nzet-1) ;
double ent2_b = ent2_limit(nzet-1) ;
// This value is chosen so that the grid contain both fluids
// double ent_b = (ent1_b > ent2_b ? ent1_b : ent2_b) ;
// 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 mermax_poisson = icontrol(4) ;
int nzadapt = icontrol(5); // number of domains for adaptive grid
int kepler_fluid = icontrol(6); // fluid-index for kepler-limit (0=none,3=both)
int kepler_wait_steps = icontrol(7);
int mer_triax = icontrol(8) ;
int niter ;
// Protections:
if (mer_change_omega < mer_rot) {
cout << "Et_rot_bifluid::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_bifluid::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() ;
}
double precis = control(0) ;
double omega_ini = control(1) ;
double omega2_ini = control(2) ;
double relax = control(3) ;
double relax_prev = double(1) - relax ;
double relax_poisson = control(4) ;
// some additional stuff for adaptive grid:
double thres_adapt = control(5) ;
double precis_adapt = control(6) ;
double kepler_factor = control(7);
if (kepler_factor <= 1.0)
{
cout << "ERROR: Kepler factor has to be greater than 1!!\n";
abort();
}
double ampli_triax = control(8) ;
// Error indicators
// ----------------
diff.set_etat_qcq() ;
double diff_ent ;
double& diff_ent1 = diff.set(0) ;
double& diff_ent2 = diff.set(1) ;
double& diff_nuf = diff.set(2) ;
double& diff_nuq = diff.set(3) ;
// double& diff_dzeta = diff.set(4) ;
// double& diff_ggg = diff.set(5) ;
double& diff_shift_x = diff.set(6) ;
double& diff_shift_y = diff.set(7) ;
double& vit_triax = diff.set(8) ;
// Parameters for the function Map_et::adapt
// -----------------------------------------
Param par_adapt ;
int nitermax = 100 ;
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 angular velocities
omega = 0 ;
omega2 = 0 ;
double accrois_omega = (omega0 - omega_ini) /
double(mer_fix_omega - mer_change_omega) ;
double accrois_omega2 = (omega20 - omega2_ini) /
double(mer_fix_omega - mer_change_omega) ;
update_metric() ; // update of the metric coefficients
equation_of_state() ; // update of the densities, 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 ent2_prev = ent2 ;
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
Tenseur mlngamma2(mp) ; // centrifugal potential
Tenseur *outer_ent_p; // pointer to the enthalpy field of the outer fluid
// 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
fichfreq << "# f1 [Hz] f2 [Hz]" << endl ;
ofstream fichevol("evolution.d") ; // Output file for various quantities
fichevol << "# r_pole/r_eq ent_c ent2_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 = omega_ini ;
omega2 = omega2_ini ;
}
else {
if (mer <= mer_fix_omega) {
omega = omega_ini + accrois_omega *
(mer - mer_change_omega) ;
omega2 = omega2_ini + accrois_omega2 *
(mer - mer_change_omega) ;
}
}
}
//-----------------------------------------------
// Sources of the Poisson equations
//-----------------------------------------------
// Source for nu
// -------------
Tenseur beta = log(bbb) ;
beta.set_std_base() ;
// common source term for relativistic and Newtonian ! (enerps_euler has the right limit)
source_nuf = qpig * a_car * enerps_euler;
if (relativistic)
source_nuq = ak_car - flat_scalar_prod(logn.gradient_spher(),logn.gradient_spher() + beta.gradient_spher()) ;
else
source_nuq = 0 ;
source_nuf.set_std_base() ;
source_nuq.set_std_base() ;
if (relativistic) {
// Source for dzeta
// ----------------
source_dzf = 2 * qpig * a_car * sphph_euler;
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 = 2 * qpig * nnn * a_car * bbb * (s_euler - sphph_euler);
source_tggg.set_std_base() ;
(source_tggg.set()).mult_rsint() ;
// Source for shift
// ----------------
// Matter term
source_shift = (-4*qpig) * nnn * a_car * j_euler;
// Quadratic terms:
Tenseur vtmp = 3 * beta.gradient_spher() - logn.gradient_spher() ;
vtmp.change_triad(mp.get_bvect_cart()) ;
Tenseur squad = 2 * 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) ;
diff_nuf = 0 ;
//---------------------------------------
// Triaxial perturbation of nuf
//---------------------------------------
if (mer == mer_triax) {
if ( mg->get_np(0) == 1 ) {
cout <<
"Et_rot_bifluid::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) ;
diff_nuq = 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) ;
}
}
}
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) ;
diff_shift_x = 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) ;
diff_shift_y = 0 ;
// Computation of tnphi and nphi from the Cartesian components
// of the shift
// -----------------------------------------------------------
fait_nphi() ;
}
//----------------------------------------
// Shall we search for the Kepler limit?
//----------------------------------------
bool kepler = false;
bool too_fast = false;
if ( (kepler_fluid > 0) && (mer > mer_fix_omega + kepler_wait_steps) )
{
if (kepler_fluid & 0x01)
omega *= kepler_factor;
if (kepler_fluid & 0x02)
omega2 *= kepler_factor;
}
// ============================================================
kepler = true;
while (kepler)
{
// New computation of delta_car, gam_euler, enerps_euler etc...
// ------------------------------------------------------
hydro_euler() ;
//------------------------------------------------------
// First integral of motion
//------------------------------------------------------
// Centrifugal potential :
if (relativistic) {
mlngamma = - log( gam_euler ) ;
mlngamma2 = - log( gam_euler2) ;
}
else {
mlngamma = - 0.5 * uuu*uuu ;
mlngamma2 = -0.5 * uuu2*uuu2 ;
}
// Central values of various potentials :
double nuf_c = nuf()(0,0,0,0) ;
double nuq_c = nuq()(0,0,0,0) ;
// Scale factor to ensure that the enthalpy is equal to ent_b at
// the equator for the "outer" fluid
double alpha_r2 = 0;
int j=j_b;
// Boundary values of various potentials :
double nuf_b = nuf()(l_b, k_b, j, i_b) ;
double nuq_b = nuq()(l_b, k_b, j, i_b) ;
double mlngamma_b = mlngamma()(l_b, k_b, j, i_b) ;
double mlngamma2_b = mlngamma2()(l_b, k_b, j, i_b) ;
// RP: "hack": adapt the radius correctly if using "slow-rot-style" EOS inversion
//
if ( eos.identify() == 2 ) // only applies to Eos_bf_poly_newt
{
const Eos_bf_poly_newt &eos0 = dynamic_cast<const Eos_bf_poly_newt&>(eos);
if (eos0.get_typeos() == 5)
{
double vn_b = uuu()(l_b, k_b, j, i_b);
double vp_b = uuu2()(l_b, k_b, j, i_b);
double D2_b = (vp_b - vn_b)*(vp_b - vn_b);
double kdet = eos0.get_kap3() + eos0.get_beta()*D2_b;
double kaps1 = kdet / ( eos0.get_kap2() - kdet );
double kaps2 = kdet / ( eos0.get_kap1() - kdet );
ent1_b = kaps1 * ( ent2_c - ent_c - mlngamma2_b + mlngamma_b );
ent2_b = kaps2 * ( ent_c - ent2_c - mlngamma_b + mlngamma2_b );
cout << "**********************************************************************\n";
cout << "DEBUG: Rescaling domain for slow-rot-style EOS inversion \n";
cout << "DEBUG: ent1_b = " << ent1_b << "; ent2_b = " << ent2_b << endl;
cout << "**********************************************************************\n";
adapt_flag = 0; // don't do adaptive-grid if using slow-rot-style inversion!
}
}
double alpha1_r2 = ( ent_c - ent1_b - mlngamma_b + nuq_c - nuq_b) / ( nuf_b - nuf_c ) ;
double alpha2_r2 = ( ent2_c - ent2_b - mlngamma2_b + nuq_c - nuq_b) / ( nuf_b - nuf_c ) ;
cout << "DEBUG: j= "<< j<<" ; alpha1 = " << alpha1_r2 <<" ; alpha2 = " << alpha2_r2 << endl;
int outer_fluid = (alpha1_r2 > alpha2_r2) ? 1 : 2; // index of 'outer' fluid (at equator!)
outer_ent_p = (outer_fluid == 1) ? (&ent) : (&ent2);
alpha_r2 = (outer_fluid == 1) ? alpha1_r2 : alpha2_r2 ;
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) - logn - mlngamma ;
ent2 = (ent2_c + nu_c) - logn - mlngamma2 ;
// now let's try to figure out if we have overstepped the Kepler-limit
// (FIXME) we assume that the enthalpy of the _outer_ fluid being negative
// inside the star
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 ( (*outer_ent_p)()(l, 0, j_b, i) < 0. ) {
kepler = true;
cout << "(outer) ent < 0 for l, i : " << l << " " << i
<< " ent = " << (*outer_ent_p)()(l, 0, j_b, i) << endl ;
}
}
}
if ( kepler )
{
cout << "**** KEPLERIAN VELOCITY REACHED ****" << endl ;
if (kepler_fluid & 0x01)
omega /= kepler_factor ; // Omega is decreased
if (kepler_fluid & 0x02)
omega2 /= kepler_factor;
cout << "New rotation frequencies : "
<< "Omega = " << omega/(2.*M_PI) * f_unit << " Hz; "
<< "Omega2 = " << omega2/(2.*M_PI) * f_unit << endl ;
too_fast = true;
}
} /* while kepler */
if ( too_fast )
{ // fact_omega is decreased for the next step
kepler_factor = sqrt( kepler_factor ) ;
cout << "**** New fact_omega : " << kepler_factor << endl ;
}
// ============================================================
// Cusp-check: shall the adaptation still be performed?
// ------------------------------------------
double dent_eq = (*outer_ent_p)().dsdr()(l_b, k_b, j_b, i_b) ;
double dent_pole = (*outer_ent_p)().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 ;
}
// Rescaling of the grid and adaption to (outer) enthalpy surface
//---------------------------------------
if (adapt_flag && (nzadapt > 0) )
{
mp_prev = mp_et ;
mp.adapt( (*outer_ent_p)(), par_adapt) ;
mp_prev.homothetie(alpha_r) ;
mp.reevaluate(&mp_prev, nzet+1, ent.set()) ;
mp.reevaluate(&mp_prev, nzet+1, ent2.set()) ;
}
else
mp.homothetie (alpha_r);
//----------------------------------------------------
// Equation of state
//----------------------------------------------------
equation_of_state() ; // computes new values for nbar1,2 , ener (e)
// and press (p) from the new ent,ent2
//---------------------------------------------------------
// 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 / (2*M_PI) * f_unit ;
fichfreq << " " << omega2 / (2*M_PI) * f_unit ;
fichevol << " " << ray_pole() / ray_eq() ;
fichevol << " " << ent_c ;
fichevol << " " << ent2_c ;
//-----------------------------------------
// Convergence towards given baryon masses (if mer_mass > 0)
//-----------------------------------------
// If we want to impose baryonic masses for both fluids.
//Be careful, the code acts on mu_n and mu_p (at the center)
// -> beta equilibrium can be not verified
cout << "DEBUG MODE : mbar1_wanted : " << mbar1_wanted << endl ;
cout << "DEBUG MODE : mbar2_wanted : " << mbar2_wanted << endl ;
if (mbar2_wanted != 0 )
{
if ((mer_mass>0) && (mer > mer_mass)) {
double xx, xprog, ax, fact;
// fluid 1
xx = mass_b1() / mbar1_wanted - 1. ;
cout << "Discrep. baryon mass1 <-> wanted bar. mass1 : " << xx << endl ;
xprog = ( mer > 2*mer_mass) ? 1. : double(mer - mer_mass)/double(mer_mass) ;
xx *= xprog ;
ax = 0.5 * ( 2. + xx ) / (1. + xx ) ;
fact = pow(ax, aexp_mass) ;
cout << "Fluid1: xprog, xx, ax, fact : " << xprog << " " << xx << " " << ax << " " << fact << endl ;
ent_c *= fact ;
// fluid 2
xx = mass_b2() / mbar2_wanted - 1. ;
cout << "Discrep. baryon mass2 <-> wanted bar. mass2 : " << xx << endl ;
xprog = ( mer > 2*mer_mass) ? 1. : double(mer - mer_mass)/double(mer_mass) ;
xx *= xprog ;
ax = 0.5 * ( 2. + xx ) / (1. + xx ) ;
fact = pow(ax, aexp_mass) ;
cout << "Fluid2: xprog, xx, ax, fact : " << xprog << " " << xx << " " << ax << " " << fact << endl ;
ent2_c *= fact ;
cout << "H1c = " << ent_c << " H2c = " << ent2_c << endl ;
}
}
else {
// If we want to impose Mb_tot and beta equilibrium
// In this case : mbar1_wanted = total baryonic mass wanted
// mbar2_wanted must be set to -1 and is not used.
if ((mer_mass>0) && (mer > mer_mass)) {
double xx, xprog, ax, fact;
// total mass
xx = mass_b() / mbar1_wanted - 1. ; // mbar1_wanted = " mbar_wanted"
cout << "Discrep. baryon mass <-> wanted bar. mass : " << xx << endl ;
xprog = ( mer > 2*mer_mass) ? 1. : double(mer - mer_mass)/double(mer_mass) ;
xx *= xprog ;
ax = 0.5 * ( 2. + xx ) / (1. + xx ) ;
fact = pow(ax, aexp_mass) ;
cout << "Fluid1: xprog, xx, ax, fact : " << xprog << " " << xx << " " << ax << " " << fact << endl ;
ent_c *= fact ;
double m1 = 1.009000285 ;
double m2 = 1.008160139 ;
ent2_c = ent_c + log(m1/m2); // to ensure beta_equilibrium
cout << "DEBUG MODE : ent_c " << ent_c << endl ;
cout << "DEBUG MODE : ent2_c " << ent2_c << endl ;
cout << "H1c = " << ent_c << " H2c = " << ent2_c << endl ;
}
} /* if mer > mer_mass */
//-------------------------------------------------------------
// Relative change in enthalpies with respect to previous step
//-------------------------------------------------------------
Tbl diff_ent_tbl = diffrel( ent(), ent_prev() ) ;
diff_ent1 = diff_ent_tbl(0) ;
for (int l=1; l<nzet; l++) {
diff_ent1 += diff_ent_tbl(l) ;
}
diff_ent1 /= nzet ;
diff_ent_tbl = diffrel( ent2(), ent2_prev() ) ;
diff_ent2 = diff_ent_tbl(0) ;
for (int l=1; l<nzet; l++) {
diff_ent2 += diff_ent_tbl(l) ;
}
diff_ent2 /= nzet ;
diff_ent = 0.5*(diff_ent1 + diff_ent2) ;
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 ;
ent2_prev = ent2 ;
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::Coord
Active physical coordinates and mapping derivatives.
Definition coord.h:90
Lorene::Eos_bf_poly_newt
Analytic equation of state for two fluids (Newtonian case).
Definition eos_bifluid.h:1258
Lorene::Eos_bf_poly::get_kap1
double get_kap1() const
Returns the pressure coefficient [unit: ], where .
Definition eos_bifluid.h:1032
Lorene::Eos_bf_poly::get_kap3
double get_kap3() const
Returns the pressure coefficient [unit: ], where .
Definition eos_bifluid.h:1044
Lorene::Eos_bf_poly::get_beta
double get_beta() const
Returns the coefficient [unit: ], where .
Definition eos_bifluid.h:1050
Lorene::Eos_bf_poly::get_kap2
double get_kap2() const
Returns the pressure coefficient [unit: ], where .
Definition eos_bifluid.h:1038
Lorene::Et_rot_bifluid::equilibrium_bi
void equilibrium_bi(double ent_c, double ent_c2, double omega0, double omega20, const Tbl &ent_limit, const Tbl &ent2_limit, const Itbl &icontrol, const Tbl &control, Tbl &diff, int mer_mass, double mbar1_wanted, double mbar2_wanted, double aexp_mass)
Computes an equilibrium configuration.
Definition et_bfrot_equilibre.C:135
Lorene::Et_rot_bifluid::gam_euler2
Tenseur gam_euler2
Lorentz factor between the fluid 2 and Eulerian observers.
Definition et_rot_bifluid.h:207
Lorene::Et_rot_bifluid::enerps_euler
Tenseur enerps_euler
the combination : useful because in the Newtonian limit .
Definition et_rot_bifluid.h:201
Lorene::Et_rot_bifluid::sphph_euler
Tenseur sphph_euler
The component of the stress tensor .
Definition et_rot_bifluid.h:175
Lorene::Et_rot_bifluid::mass_b
virtual double mass_b() const
Total Baryon mass.
Definition et_bfrot_global.C:148
Lorene::Et_rot_bifluid::j_euler
Tenseur j_euler
Total angular momentum (flat-space!) 3-vector , which is related to of the "3+1" decomposition,...
Definition et_rot_bifluid.h:182
Lorene::Et_rot_bifluid::equation_of_state
virtual void equation_of_state()
Computes the proper baryon and energy densities, as well as pressure and the coefficients Knn,...
Definition et_rot_bifluid.C:732
Lorene::Et_rot_bifluid::omega2
double omega2
Rotation angular velocity for fluid 2 ([f_unit] ).
Definition et_rot_bifluid.h:154
Lorene::Et_rot_bifluid::eos
const Eos_bifluid & eos
Equation of state for two-fluids model.
Definition et_rot_bifluid.h:152
Lorene::Et_rot_bifluid::mass_b1
double mass_b1() const
Baryon mass of fluid 1.
Definition et_bfrot_global.C:116
Lorene::Et_rot_bifluid::uuu2
Tenseur uuu2
Norm of the (fluid no.2) 3-velocity with respect to the eulerian observer.
Definition et_rot_bifluid.h:204
Lorene::Et_rot_bifluid::mass_b2
double mass_b2() const
Baryon mass of fluid 2.
Definition et_bfrot_global.C:132
Lorene::Et_rot_bifluid::grv2
virtual double grv2() const
Error on the virial identity GRV2.
Definition et_bfrot_global.C:471
Lorene::Et_rot_bifluid::ent2
Tenseur ent2
Log-enthalpy for the second fluid.
Definition et_rot_bifluid.h:160
Lorene::Et_rot_bifluid::hydro_euler
virtual void hydro_euler()
Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid fram...
Definition et_rot_bifluid.C:826
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::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::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::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::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::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::relativistic
bool relativistic
Indicator of relativity: true for a relativistic star, false for a Newtonian one.
Definition etoile.h:437
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::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::dsdr
virtual void dsdr(const Cmp &ci, Cmp &resu) const =0
Computes of a Cmp .
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.