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/*
* Method of class Bin_bhns_extr to set some analytical form
*
* (see file bin_bhns_extr.h for documentation).
*
*/
/*
* Copyright (c) 2004 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 bin_bhns_extr_anashift_C[] = "$Header: /cvsroot/Lorene/C++/Source/Bin_bhns_extr/bin_bhns_extr_anashift.C,v 1.3 2014/10/13 08:52:41 j_novak Exp $" ;
/*
* $Id: bin_bhns_extr_anashift.C,v 1.3 2014/10/13 08:52:41 j_novak Exp $
* $Log: bin_bhns_extr_anashift.C,v $
* Revision 1.3 2014/10/13 08:52:41 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.2 2014/10/06 15:13:00 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.1 2004/11/30 20:45:29 k_taniguchi
* *** empty log message ***
*
*
* $Header: /cvsroot/Lorene/C++/Source/Bin_bhns_extr/bin_bhns_extr_anashift.C,v 1.3 2014/10/13 08:52:41 j_novak Exp $
*
*/
// C headers
#include <cmath>
// Lorene headers
#include "bin_bhns_extr.h"
#include "unites.h"
namespace Lorene {
void Bin_bhns_extr::analytical_shift() {
using namespace Unites ;
// BH-NS binary systems should be relativistic
// -------------------------------------------
if ( !star.is_relativistic() ) {
cout << "BH-NS binary systems should be relativistic !!!" << endl ;
abort() ;
}
// Radius of the neutron star
double a0 = star.ray_eq() ;
// G M Omega R
double www = ggrav * star.mass_g() * omega * separ ;
// Approximates the mass ratio -> 0
const Map& mp = star.get_mp() ;
Tenseur tmp(mp) ;
Tenseur tmp_ext(mp) ;
int nzet = star.get_nzet() ;
int nzm1 = mp.get_mg()->get_nzone() - 1 ;
//-------------------
// Irrotational case
//-------------------
// Since this formula is only an initial guess, we use it
// also for the corotating case.
// Computation of w_shift
// ----------------------
star.set_w_shift().set_etat_qcq() ;
// X component
// -----------
star.set_w_shift().set(0) = 0. ;
// Y component
// -----------
// For the incompressible case :
tmp.set_etat_qcq() ;
tmp.set() = 6. * www / a0 * ( 1. - (mp.r)*(mp.r) / (3.*a0*a0) ) ;
tmp.set().annule(nzet, nzm1) ;
tmp.set_std_base() ;
tmp_ext.set_etat_qcq() ;
tmp_ext.set() = 4. * www / mp.r ;
tmp_ext.set().annule(0, nzet-1) ;
tmp_ext.set_std_base() ;
star.set_w_shift().set(1) = tmp() + tmp_ext() ;
// Z component
// -----------
star.set_w_shift().set(2) = 0. ;
// Sets the standard spectral bases for Cartesian components
star.set_w_shift().set_std_base() ;
// Computation of khi_shift
//-------------------------
tmp.set() = 2. * www / a0 * (mp.y)
* ( 1. - 3.*(mp.r)*(mp.r) / (5.*a0*a0) ) ;
tmp.set().annule(nzet, nzm1) ;
tmp.set_std_base() ;
tmp_ext.set() = 0.8 * www * a0 * a0 * (mp.sint) * (mp.sinp)
/ ((mp.r)*(mp.r)) ;
tmp_ext.set().annule(0, nzet-1) ;
tmp_ext.set_std_base() ;
star.set_khi_shift() = tmp + tmp_ext ;
// Sets the standard spectral bases for a scalar field
star.set_khi_shift().set_std_base() ;
}
}
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