binaire_ana_shift.C

/*
 * Method of class Binaire to set some analytical form to the shift vector.
 *
 * (see file binaire.h for documentation).
 */

/*
 *   Copyright (c) 2000-2001 Eric Gourgoulhon
 *   Copyright (c) 2000-2001 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 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 binaire_ana_shift_C[] = "$Header: /cvsroot/Lorene/C++/Source/Binaire/binaire_ana_shift.C,v 1.2 2004/03/25 10:28:59 j_novak Exp $" ;

/*
 * $Id: binaire_ana_shift.C,v 1.2 2004/03/25 10:28:59 j_novak Exp $
 * $Log: binaire_ana_shift.C,v $
 * Revision 1.2  2004/03/25 10:28:59  j_novak
 * All LORENE's units are now defined in the namespace Unites (in file unites.h).
 *
 * Revision 1.1.1.1  2001/11/20 15:19:30  e_gourgoulhon
 * LORENE
 *
 * Revision 2.3  2000/03/17  15:36:26  eric
 * Suppression de l'appel a analytical_omega().
 *
 * Revision 2.2  2000/03/17  15:27:11  eric
 * Appel de la fonction analytical_omega() pour fixer la valeur de omega.
 *
 * Revision 2.1  2000/03/16  09:37:28  eric
 * Utilisation du cas incompressible plutot que n=1.
 *
 * Revision 2.0  2000/03/15  16:43:35  eric
 * *** empty log message ***
 *
 *
 * $Header: /cvsroot/Lorene/C++/Source/Binaire/binaire_ana_shift.C,v 1.2 2004/03/25 10:28:59 j_novak Exp $
 *
 */

// Headers C
#include "math.h"

// Headers Lorene
#include "binaire.h"
#include "unites.h"

void Binaire::analytical_shift(){
    
    // Does nothing for a Newtonian star
    // ---------------------------------
    if ( !star1.is_relativistic() ){
    assert( !star2.is_relativistic() ) ; 
    return ; 
    }


    using namespace Unites ;
        
    for (int i=0; i<2; i++) {

    // Radius of the star:
    double a0 = et[i]->ray_eq() ; 
    
    // Mass ratio
    double p_mass = et[i]->mass_g() / et[1-i]->mass_g() ; 
    
    // G M Omega R / (1+p) 
    double www = ggrav * et[i]->mass_g() * omega 
            * separation() / (1. + p_mass) ;  
    
    const Map& mp = et[i]->get_mp() ; 
    Cmp tmp(mp) ;  
    Cmp tmp_ext(mp) ;  
    int nzet = et[i]->get_nzet() ; 
    int nzm1 = mp.get_mg()->get_nzone() - 1 ; 
    
    // Computation of w_shift 
    // ----------------------
    et[i]->set_w_shift().set_etat_qcq() ; 

    // X component
    // -----------
    et[i]->set_w_shift().set(0) = 0 ; 

    // Y component
    // -----------

// For the incompressible case :
    tmp = - 6  * www / a0 * ( 1 - (mp.r)*(mp.r) / (3*a0*a0) ) ; 

// For the compressible (n=1) case : 
//  Mtbl xi = M_PI * mp.r / a0 ; 
//  Mtbl sinc = sin(xi) / xi ;  
//   The value of sinc is set to 1 at the origin
//  for (int k=0; k<mp.get_mg()->get_np(0); k++) {
//      for (int j=0; j<mp.get_mg()->get_nt(0); j++) {
//      sinc.set(0, k, j, 0) = 1 ; 
//      }
//  }
//  tmp = - 4 * www / a0 * ( 1 + sinc ) ; 

    tmp.annule(nzet, nzm1) ; 
    tmp_ext = - 4 * www / mp.r ;
    tmp_ext.annule(0, nzet-1) ; 
    
    et[i]->set_w_shift().set(1) = tmp + tmp_ext ; 

    // Z component
    // -----------
    et[i]->set_w_shift().set(2) = 0 ; 

    // Sets the standard spectral bases for Cartesian components
    et[i]->set_w_shift().set_std_base() ; 
        
    // Computation of khi_shift
    // ------------------------

    tmp = 2 * www / a0 * (mp.y) * ( 1 - 3 * (mp.r)*(mp.r) / (5*a0*a0) ) ;
    tmp.annule(nzet, nzm1) ; 
    tmp_ext = 0.8 * www * a0*a0 * (mp.sint) * (mp.sinp) 
                        / (mp.r * mp.r) ;   
    tmp_ext.annule(0, nzet-1) ; 

    et[i]->set_khi_shift() = tmp + tmp_ext ; 

    // Sets the standard spectral bases for a scalar field
    et[i]->set_khi_shift().set_std_base() ;         
    
    }
    
}

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