et_bin_nsbh_equilibrium.C

/*
 *  Method of class Etoile to compute a static spherical configuration
 *   of a neutron star in a NS-BH binary system.
 *
 *    (see file etoile.h for documentation).
 *
 */

/*
 *   Copyright (c) 2003 Keisuke Taniguchi
 *
 *   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 et_bin_nsbh_equilibrium_C[] = "$Header: /cvsroot/Lorene/C++/Source/Etoile/et_bin_nsbh_equilibrium.C,v 1.11 2008/09/26 08:38:45 p_grandclement Exp $" ;

/*
 * $Id: et_bin_nsbh_equilibrium.C,v 1.11 2008/09/26 08:38:45 p_grandclement Exp $
 * $Log: et_bin_nsbh_equilibrium.C,v $
 * Revision 1.11  2008/09/26 08:38:45  p_grandclement
 * get rid of desaliasing
 *
 * Revision 1.10  2006/09/05 13:39:45  p_grandclement
 * update of the bin_ns_bh project
 *
 * Revision 1.9  2006/06/01 12:47:53  p_grandclement
 * update of the Bin_ns_bh project
 *
 * Revision 1.8  2006/04/25 07:21:58  p_grandclement
 * Various changes for the NS_BH project
 *
 * Revision 1.7  2006/03/30 07:33:47  p_grandclement
 * *** empty log message ***
 *
 * Revision 1.6  2005/10/18 13:12:33  p_grandclement
 * update of the mixted binary codes
 *
 * Revision 1.5  2005/08/29 15:10:17  p_grandclement
 * Addition of things needed :
 *   1) For BBH with different masses
 *   2) Provisory files for the mixted binaries (Bh and NS) : THIS IS NOT
 *   WORKING YET !!!
 *
 * Revision 1.4  2004/03/25 10:29:04  j_novak
 * All LORENE's units are now defined in the namespace Unites (in file unites.h).
 *
 * Revision 1.3  2003/10/24 12:34:06  k_taniguchi
 * Change the notation as it should be
 *
 * Revision 1.2  2003/10/21 11:49:33  k_taniguchi
 * Change the class from Etoile_bin to sub-class Et_bin_nsbh.
 *
 * Revision 1.1  2003/10/20 15:01:55  k_taniguchi
 * Computation of an equilibrium configuration of a neutron star
 * in a NS-BH binary system.
 *
 *
 * $Header: /cvsroot/Lorene/C++/Source/Etoile/et_bin_nsbh_equilibrium.C,v 1.11 2008/09/26 08:38:45 p_grandclement Exp $
 *
 */

// Headers C
#include <math.h>

// Headers Lorene
#include "etoile.h"
#include "map.h"
#include "nbr_spx.h"
#include "et_bin_nsbh.h"
#include "param.h"

#include "graphique.h"
#include "utilitaires.h"
#include "unites.h"

void Et_bin_nsbh::equilibrium_nsbh(bool adapt, double ent_c, int& niter, int mermax,
                   int mermax_poisson, double relax_poisson,
                   int mermax_potvit, double relax_potvit,
                   Tbl& diff) {
                   
    // Fundamental constants and units
    // -------------------------------
  using namespace Unites ;

    // Initializations
    // --------------
   
    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_et:
    Map_et& mp_et = dynamic_cast<Map_et&>(mp) ;

    // Error indicators
    // ----------------
    double& diff_ent = diff.set(0) ;
    double& diff_vel_pot = diff.set(1) ;
    double& diff_lapse = diff.set(2) ;
    double& diff_confpsi = diff.set(3) ;
    double& diff_shift_x = diff.set(4) ;
    double& diff_shift_y = diff.set(5) ;
    double& diff_shift_z = diff.set(6) ;

   
    // Parameters for the function Map_et::poisson for n_auto
    // ------------------------------------------------------
    double precis_poisson = 1.e-16 ;

    Param par_poisson1 ;
    par_poisson1.add_int(mermax_poisson,  0) ;  // maximum number of iterations
    par_poisson1.add_double(relax_poisson,  0) ; // relaxation parameter
    par_poisson1.add_double(precis_poisson, 1) ; // required precision
    par_poisson1.add_int_mod(niter, 0) ; // number of iterations actually used
    par_poisson1.add_cmp_mod( ssjm1_lapse ) ;

    // Parameters for the function Map_et::poisson for confpsi_auto
    // ------------------------------------------------------------

    Param par_poisson2 ;
    par_poisson2.add_int(mermax_poisson,  0) ;  // maximum number of iterations
    par_poisson2.add_double(relax_poisson,  0) ; // relaxation parameter
    par_poisson2.add_double(precis_poisson, 1) ; // required precision
    par_poisson2.add_int_mod(niter, 0) ; // number of iterations actually used
    par_poisson2.add_cmp_mod( ssjm1_confpsi ) ;

    // 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) ;
    
    // Parameters for the adaptation
    Param par_adapt ; 
    int nitermax = 100 ;  
    int niter_adapt ; 
    int adapt_flag = (adapt) ? 1 : 0 ;  
    int nz_search = nzet + 1 ;
    double precis_secant = 1.e-14 ; 
    double alpha_r ; 
    double reg_map = 1. ;   
    int k_b ;
    int j_b ; 
    Tbl ent_limit(nzet) ; 
    
    par_adapt.add_int(nitermax, 0) ; 
    par_adapt.add_int(nzet, 1) ;
    par_adapt.add_int(nz_search, 2) ;   
    par_adapt.add_int(adapt_flag, 3) ;
    par_adapt.add_int(j_b, 4) ;
    par_adapt.add_int(k_b, 5) ; 
    par_adapt.add_int_mod(niter_adapt, 0) ; 
    par_adapt.add_double(precis_secant, 0) ; 
    par_adapt.add_double(reg_map, 1)    ; 
    par_adapt.add_double(alpha_r, 2) ;
    par_adapt.add_tbl(ent_limit, 0) ;
    
    // External potential
    // See Eq (99) from Gourgoulhon et al. (2001)
    // -----------------------------------------
   

    Tenseur ent_jm1 = ent ; // Enthalpy at previous step
    Tenseur source(mp) ;    // source term in the equation for logn_auto
                // and beta_auto
    Tenseur source_shift(mp, 1, CON, ref_triad) ;  // source term in the
                           //  equation for shift_auto

    //=========================================================================
    //          Start of iteration
    //=========================================================================

    for(int mer=0 ; mer<mermax ; mer++ ) {

    cout << "-----------------------------------------------" << endl ;
    cout << "step: " << mer << endl ;
    cout << "diff_ent = " << diff_ent << endl ;
    //-----------------------------------------------------
    // Resolution of the elliptic equation for the velocity
    // scalar potential
    //-----------------------------------------------------

    if (irrotational) {
        diff_vel_pot = velocity_potential(mermax_potvit, precis_poisson, 
                          relax_potvit) ; 
    }

    // Equation de la surface
    //if (adapt) {
    
       // Rescaling of the radius : (Be carefull !)
       int nt = mg->get_nt(nzet-1) ;
       int np = mg->get_np(nzet-1) ;
       int nr = mg->get_nr(nzet-1) ;
      
       // valeurs au centre
       double hc = exp(ent_c) ;
       double gamma_c = exp(loggam())(0,0,0,0) ;
       double gamma_0_c = exp(-pot_centri())(0,0,0,0) ;
       double n_auto_c = n_auto()(0,0,0,0) ;
       double n_comp_c = n_comp()(0,0,0,0) ;   
     
       double alpha_square = 0 ;
       double constante = 0;
       for (int k=0; k<np; k++) {
        for (int j=0; j<nt; j++) {
        
          // valeurs au bord
              double gamma_b = exp(loggam())(nzet-1,k,j,nr-1) ;
              double gamma_0_b = exp(-pot_centri())(nzet-1,k,j,nr-1) ;
              double n_auto_b = n_auto()(nzet-1,k,j,nr-1) ;
              double n_comp_b = n_comp()(nzet-1,k,j,nr-1) ;
  
       // Les solutions :
       double alpha_square_courant = (gamma_0_c*gamma_b*n_comp_b - hc*gamma_c*gamma_0_b*n_comp_c) /
                             (hc*gamma_c*gamma_0_b*n_auto_c-gamma_0_c*gamma_b*n_auto_b) ;
       double constante_courant = gamma_b*(n_comp_b+alpha_square_courant*n_auto_b)/gamma_0_b ;

        if (alpha_square_courant > alpha_square) {
            alpha_square = alpha_square_courant ; 
            k_b = k ; 
            j_b = j ;
            constante = constante_courant ; 
        }
        }
    }

       alpha_r = sqrt(alpha_square) ;
       cout << "Adaptation : " << k_b << " " << j_b << " " << alpha_r << endl ;
        
       // Le potentiel : 
       Tenseur potentiel (constante*exp(-loggam-pot_centri)/(n_auto*alpha_square+n_comp)) ;
       potentiel.set_std_base() ;
       for (int l=nzet+1 ; l<nz ; l++)
            potentiel.set().va.set(l) = 1 ;

       Map_et mp_prev = mp_et ; 
       ent = log(potentiel) ;
       ent.set_std_base() ;
           ent().va.smooth(nzet, (ent.set().va)) ;
    
       ent_limit.set_etat_qcq() ; 
       for (int l=0; l<nzet; l++) { // loop on domains inside the star
           ent_limit.set(l) = ent()(l, k_b, j_b, nr-1) ; 
       } 
       
       // On adapte :  
       mp.adapt(ent(), par_adapt, 4) ;
       mp_prev.homothetie(alpha_r) ;

       for (int l=nzet ; l<nz-1 ; l++)
         mp.resize(l, 1./alpha_r) ;
       mp.reevaluate_symy (&mp_prev, nzet, 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
    //---------------------------------------------------------
    hydro_euler() ; // computes new values for ener_euler (E),
                // s_euler (S) and u_euler (U^i)
                
                
    //-------------------------------------------------
    //  Relative change in enthalpy
    //-------------------------------------------------

    Tbl diff_ent_tbl = diffrel( ent(), ent_jm1() ) ;
    diff_ent = diff_ent_tbl(0) ;
    for (int l=1; l<nzet; l++) {
        diff_ent += diff_ent_tbl(l) ;
    }
    diff_ent /= nzet ;

    ent_jm1 = ent ;
    
    
    //--------------------------------------------------------
    // Poisson equation for n_auto
    //--------------------------------------------------------

    // Source 
    // See Eq (50) from Gourgoulhon et al. (2001)
    // ------------------------------------------

    Tenseur confpsi_q = pow(confpsi, 4.) ;
    Tenseur confpsi_c = pow(confpsi, 5.) ;
    
    if (relativistic) {
        Tenseur tmp = flat_scalar_prod(tkij_tot, tkij_auto) ;
        Tenseur kk (mp) ;
        kk = 0 ;
        Tenseur tmp2(mp) ;
        tmp2.set_etat_qcq() ;
        for (int i=0 ; i<3 ; i++) {
        tmp2.set() = tmp(i, i) ;
        kk = kk + tmp2 ;
        }
        
        source = qpig * nnn * confpsi_q * (ener_euler + s_euler)
        + nnn * confpsi_q * kk
        - 2.*flat_scalar_prod(d_confpsi_auto+d_confpsi_comp, d_n_auto) /
        confpsi ;
    }
    else {
        cout <<
        "WARNING : Et_bin_nsbh is for the relativistic calculation"
         << endl ;
        abort() ;
    }

    source.set_std_base() ; 

    // Resolution of the Poisson equation
    // ----------------------------------
    Cmp n_auto_old (n_auto()) ;
    source().poisson(par_poisson1, n_auto.set()) ;
    n_auto.set() = n_auto() + 0.5 ; 
    
    // Difference pas précédent
    // -----------------------------------------------------
    
    Tbl tdiff_lapse = diffrel(n_auto(), n_auto_old) ;
    cout <<
    "Relative difference on n_auto : "
    << endl ;
    for (int l=0; l<nz; l++) {
        cout << tdiff_lapse(l) << "  " ;
    }
    cout << endl ;
    diff_lapse = max(abs(tdiff_lapse)) ; 
        
    if (relativistic) {
         
    
        //--------------------------------------------------------
        // Poisson equation for confpsi_auto 
        //--------------------------------------------------------

        // Source
        // See Eq (51) from Gourgoulhon et al. (2001)
        // ------------------------------------------

        Tenseur tmp = flat_scalar_prod(tkij_tot, tkij_auto) ;
        Tenseur kk (mp) ;
        kk = 0 ;
        Tenseur tmp2(mp) ;
        tmp2.set_etat_qcq() ;
        for (int i=0 ; i<3 ; i++) {
        tmp2.set() = tmp(i, i) ;
        kk = kk + tmp2 ;
        }

        source = -0.5 * qpig * confpsi_c * ener_euler
        - 0.125 * confpsi_c * kk ;

        source.set_std_base() ;     
        
        // Resolution of the Poisson equation 
        // ----------------------------------
        Cmp psi_old (confpsi_auto()) ;
        source().poisson(par_poisson2, confpsi_auto.set()) ;
        confpsi_auto.set() = confpsi_auto() + 0.5 ; 
        
        
        // Check: has the Poisson equation been correctly solved ?
        // -----------------------------------------------------

        Tbl tdiff_confpsi = diffrel(confpsi_auto(), psi_old) ;
        cout << 
        "Relative difference on confpsi_auto : "
         << endl ;
        for (int l=0; l<nz; l++) {
        cout << tdiff_confpsi(l) << "  " ;
        }
        cout << endl ;
        diff_confpsi = max(abs(tdiff_confpsi)) ;
        
        //--------------------------------------------------------
        // Vector Poisson equation for shift_auto 
        //--------------------------------------------------------

        // Source
        // See Eq (52) from Gourgoulhon et al. (2001)
        // ------
     Tenseur vtmp = d_n_auto -6. * nnn * d_confpsi_auto / confpsi ;
        source_shift = 4.*qpig * nnn *confpsi_q *(ener_euler + press)
           * u_euler ;
        if (tkij_tot.get_etat() != ETATZERO)        
    source_shift = source_shift + 2.* flat_scalar_prod(tkij_tot, vtmp) ;
        source_shift.set_std_base() ;
        // Resolution of the Poisson equation 
        // ----------------------------------
        // Filter for the source of shift vector 
    for (int i=0 ; i<3 ; i++)
         if (source_shift(i).get_etat() !=  ETATZERO)
           source_shift.set(i).va.coef_i() ;       

for (int i=0; i<3; i++)
          if ((source_shift(i).get_etat() != ETATZERO) && (source_shift(i).va.c->t[nz-1]->get_etat() != ETATZERO)) 
        source_shift.set(i).filtre(4) ;
        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) ;
        // ON DOIT CHANGER DE TRIADE
        source_shift.change_triad(mp.get_bvect_cart()) ;
        Tenseur shift_old (shift_auto) ;  
        source_shift.poisson_vect_oohara(lambda_shift, par_poisson_vect,
                      shift_auto, khi_shift) ;
       shift_auto.change_triad(ref_triad) ;

        // Check: has the equation for shift_auto been correctly solved ?
        // --------------------------------------------------------------

       

        Tbl tdiff_shift_x = diffrel(shift_auto(0), shift_old(0)) ;
        Tbl tdiff_shift_y = diffrel(shift_auto(1), shift_old(1)) ;
        Tbl tdiff_shift_z = diffrel(shift_auto(2), shift_old(2)) ;

        cout <<
        "Relative difference on shift_auto : "
         << endl ; 
        cout << "x component : " ;
        for (int l=0; l<nz; l++) {
        cout << tdiff_shift_x(l) << "  " ;
        }
        cout << endl ;
        cout << "y component : " ;
        for (int l=0; l<nz; l++) {
        cout << tdiff_shift_y(l) << "  " ;
        }
        cout << endl ;
        cout << "z component : " ;
        for (int l=0; l<nz; l++) {
        cout << tdiff_shift_z(l) << "  " ;
        }
        cout << endl ;

        diff_shift_x = max(abs(tdiff_shift_x)) ;
        diff_shift_y = max(abs(tdiff_shift_y)) ;
        diff_shift_z = max(abs(tdiff_shift_z)) ;
        } // End of relativistic equations

    
    } // End of main loop

    //=========================================================================
    //          End of iteration
    //=========================================================================
}

// Truc pourri
void Et_bin_nsbh::equilibrium_nsbh (double, int, int, double,
                  int, double, double, const Tbl&, Tbl&) {
                  
        cout << "Not implemented !" << endl ;
        abort() ;
}

---