star_bin_upmetr_xcts.C

/*
 * Methods of Star_bin_xcts::update_metric
 * (see file star.h for documentation)
 */
 
/*
 *   Copyright (c) 2010 Michal Bejger
 *
 *   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 star_bin_upmetr_xcts_C[] = "$Header: /cvsroot/Lorene/C++/Source/Star/star_bin_upmetr_xcts.C,v 1.7 2014/10/13 08:53:38 j_novak Exp $" ;
 
/*
 * $Id: star_bin_upmetr_xcts.C,v 1.7 2014/10/13 08:53:38 j_novak Exp $
 * $Log: star_bin_upmetr_xcts.C,v $
 * Revision 1.7  2014/10/13 08:53:38  j_novak
 * Lorene classes and functions now belong to the namespace Lorene.
 *
 * Revision 1.6  2010/12/09 10:46:50  m_bejger
 * Re-definition of psi4, N, log(N)
 *
 * Revision 1.5  2010/10/26 20:08:56  m_bejger
 * Cleanup
 *
 * Revision 1.4  2010/06/17 15:08:42  m_bejger
 * Correcting previous corrections that were, in fact, incorrect
 *
 * Revision 1.3  2010/06/15 08:13:01  m_bejger
 * Some more corrections: Psi, chi
 *
 * Revision 1.2  2010/06/04 20:01:59  m_bejger
 * Corrected definitions of lapse, Psi4; added definition of gamma
 *
 * Revision 1.1  2010/05/04 07:51:05  m_bejger
 * Initial version
 *
 * $Header: /cvsroot/Lorene/C++/Source/Star/star_bin_upmetr_xcts.C,v 1.7 2014/10/13 08:53:38 j_novak Exp $
 *
 */
 
// Headers Lorene
#include "cmp.h"
#include "star.h"
#include "graphique.h"
#include "utilitaires.h"
 
//----------------------------------//
//   Version without relaxation     //
//----------------------------------//
 
namespace Lorene {
void Star_bin_xcts::update_metric(const Star_bin_xcts& comp) {
 
    // Computation of quantities coming from the companion
    // ---------------------------------------------------
    
    if ( (comp.Psi_auto).get_etat() == ETATZERO ) {     
        Psi_comp.set_etat_zero() ;
    
    } else {    
        Psi_comp.set_etat_qcq() ;
        Psi_comp.import( comp.Psi_auto ) ; 
        Psi_comp.std_spectral_base() ;
    } 
  
    beta_comp.set_etat_qcq() ; 
    beta_comp.set_triad(mp.get_bvect_cart()) ;
    
    Vector comp_beta(comp.beta_auto) ;
    comp_beta.change_triad(mp.get_bvect_cart()) ;
 
    assert ( *(beta_comp.get_triad()) == *(comp_beta.get_triad())) ;
 
    (beta_comp.set(1)).import( comp_beta(1) ) ;  
    (beta_comp.set(2)).import( comp_beta(2) ) ;  
    (beta_comp.set(3)).import( comp_beta(3) ) ;  
 
    beta_comp.std_spectral_base() ;   
 
    if ( (comp.chi_auto).get_etat()  == ETATZERO ) {
        chi_comp.set_etat_zero() ;
 
    } else  {
        chi_comp.set_etat_qcq() ;  
        chi_comp.import( comp.chi_auto ) ;      
        chi_comp.std_spectral_base() ;
    } 
 
// Conformal factor Psi
// --------------------
 
    Psi = Psi_auto + Psi_comp + 1.; 
 
    psi4 = pow(Psi, 4.) ; 
    psi4.std_spectral_base() ; 
 
// Function chi = NPsi
// --------------------
 
    chi = chi_auto + chi_comp + 1.; 
 
// Lapse function N
// ----------------
 
    nn = chi/Psi ;   
    nn.std_spectral_base() ; 
 
// logarithm of lapse function N
// ----------------
    
    logn = log(nn) ;      
    logn.std_spectral_base() ; 
   
// Shift vector 
// -------------
 
    beta = beta_auto + beta_comp ;
    
    gamma = flat.con() / psi4 ;
 
// Extrinsic curvature (haij_auto and hacar_auto)
//-----------------------------------------------
 
    extrinsic_curvature() ;
   
// The derived quantities are obsolete
// -----------------------------------
 
    del_deriv() ;
    
}
 
//----------------------------------//
//    Version with relaxation       //
//----------------------------------//
 
void Star_bin_xcts::update_metric(const Star_bin_xcts& comp,
                                  const Star_bin_xcts& star_jm1, 
                                  double relax) {
 
 
    // Computation of quantities coming from the companion
    // ---------------------------------------------------
 
    if ( (comp.Psi_auto).get_etat() == ETATZERO ) {
        Psi_comp.set_etat_zero() ;
    
    } else {
 
        Psi_comp.set_etat_qcq() ;
        Psi_comp.import( comp.Psi_auto ) ;
        Psi_comp.std_spectral_base() ;
 
    }
 
    beta_comp.set_etat_qcq() ; 
    beta_comp.set_triad(mp.get_bvect_cart()) ;
 
    Vector comp_beta(comp.beta_auto) ;
    comp_beta.change_triad(mp.get_bvect_cart()) ;
 
    assert ( *(beta_comp.get_triad()) == *(comp_beta.get_triad())) ;
 
    (beta_comp.set(1)).import( comp_beta(1) ) ;  
    (beta_comp.set(2)).import( comp_beta(2) ) ;  
    (beta_comp.set(3)).import( comp_beta(3) ) ;  
 
    beta_comp.std_spectral_base() ;   
 
    if ( (comp.chi_auto).get_etat()  == ETATZERO ) {
        chi_comp.set_etat_zero() ;
 
    } else {
 
        chi_comp.set_etat_qcq() ;
        chi_comp.import( comp.chi_auto ) ;
        chi_comp.std_spectral_base() ;
        
   }    
  
// Relaxation on Psi_comp, beta_comp, chi_comp
// -------------------------------------------
    double relaxjm1 = 1. - relax ; 
    
    Psi_comp = relax * Psi_comp + relaxjm1 * (star_jm1.Psi_comp) ; 
    beta_comp = relax * beta_comp + relaxjm1 * (star_jm1.beta_comp) ; 
    chi_comp = relax * chi_comp + relaxjm1 * (star_jm1.chi_comp) ;
 
// Conformal factor Psi
// --------------------
 
    Psi = Psi_auto + Psi_comp + 1.; 
 
    psi4 = pow(Psi, 4.) ; 
    psi4.std_spectral_base() ; 
 
// Function chi = NPsi
// --------------------
 
    chi = chi_auto + chi_comp + 1.; 
 
// Lapse function N
// ----------------
 
    nn = chi/Psi ;   
    nn.std_spectral_base() ; 
 
// logarithm of lapse function N
// ----------------
    
    logn = log(nn) ;      
    logn.std_spectral_base() ; 
   
// Shift vector
// ------------
        
    beta = beta_auto + beta_comp ;
        
    gamma = flat.con() / psi4 ;
 
// Extrinsic curvature (haij_auto and hacar_auto)
//-----------------------------------------------
 
    extrinsic_curvature() ;
 
// The derived quantities are obsolete
// -----------------------------------
 
    del_deriv() ;
 
}
 
}