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/*
* Function Etoile_rot::hydro_euler
*
* (see file etoile.h for documentation)
*
*/
/*
* Copyright (c) 2000-2001 Eric Gourgoulhon
*
* 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_rot_hydro_C[] = "$Header: /cvsroot/Lorene/C++/Source/Etoile/et_rot_hydro.C,v 1.4 2014/10/13 08:52:58 j_novak Exp $" ;
/*
* $Id: et_rot_hydro.C,v 1.4 2014/10/13 08:52:58 j_novak Exp $
* $Log: et_rot_hydro.C,v $
* Revision 1.4 2014/10/13 08:52:58 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.3 2014/10/06 15:13:09 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.2 2006/09/14 07:37:47 j_novak
* Removal of a test on u_euler.
*
* Revision 1.1.1.1 2001/11/20 15:19:28 e_gourgoulhon
* LORENE
*
* Revision 2.6 2000/10/12 15:36:06 eric
* Le test sur u_euler est desormais effectue sur la totalite de u_euler
* (ie comprenant le shift).
*
* Revision 2.5 2000/10/06 15:08:13 eric
* Calcul 3-D de u_euler.
* uuu s'en deduit.
*
* Revision 2.4 2000/08/31 15:38:34 eric
* Appel du nouvel operateur Cmp::mult_rsint pour le calcul de uuu.
*
* Revision 2.3 2000/08/25 12:28:21 eric
* *** empty log message ***
*
* Revision 2.2 2000/08/18 14:01:49 eric
* *** empty log message ***
*
* Revision 2.1 2000/08/17 12:39:56 eric
* *** empty log message ***
*
* Revision 2.0 2000/07/21 16:31:00 eric
* *** empty log message ***
*
*
* $Header: /cvsroot/Lorene/C++/Source/Etoile/et_rot_hydro.C,v 1.4 2014/10/13 08:52:58 j_novak Exp $
*
*/
// Headers C
#include <cstdlib>
// Headers Lorene
#include "etoile.h"
#include "utilitaires.h"
namespace Lorene {
void Etoile_rot::hydro_euler(){
int nz = mp.get_mg()->get_nzone() ;
int nzm1 = nz - 1 ;
// Computation of u_euler
// ----------------------
const Coord& x = mp.x ;
const Coord& y = mp.y ;
u_euler.set_etat_qcq() ;
u_euler.set(0) = - omega * y ; // Cartesian components of solid rotation
u_euler.set(1) = omega * x ;
u_euler.set(2) = 0 ;
u_euler.annule(nzm1) ;
u_euler.set_triad( mp.get_bvect_cart() ) ; // Triad = Cartesian triad
u_euler.set_std_base() ; // sets the standard bases for spectral expansions
u_euler = ( u_euler - shift ) / nnn ;
u_euler.set_std_base() ; // sets the standard bases for spectral expansions
if ( (u_euler(0).get_etat() == ETATZERO) &&
(u_euler(1).get_etat() == ETATZERO) &&
(u_euler(2).get_etat() == ETATZERO) ) {
u_euler = 0 ;
}
// Computation of uuu (norme of u_euler)
// ------------------
// The scalar product is performed on the spherical components:
Tenseur us = u_euler ;
us.change_triad( mp.get_bvect_spher() ) ;
Cmp uuu2 = a_car() * ( us(0) * us(0) + us(1) * us(1) )
+ b_car() * us(2) * us(2) ;
uuu = sqrt( uuu2 ) ;
if (uuu.get_etat() == ETATQCQ) {
((uuu.set()).va).set_base( us(2).va.base ) ; // Same basis as
} // (Omega -N^phi) r sin(theta)
// Lorentz factor
// --------------
Tenseur u2(mp) ;
u2 = unsurc2 * uuu2 ;
Tenseur gam2 = 1 / (1 - u2) ;
gam_euler = sqrt(gam2) ;
gam_euler.set_std_base() ; // sets the standard spectral bases for
// a scalar field
// Energy density E with respect to the Eulerian observer
//------------------------------------
ener_euler = gam2 * ( ener + press ) - press ;
ener_euler.set_std_base() ;
// Trace of the stress tensor with respect to the Eulerian observer
//------------------------------------
s_euler = 3 * press + ( ener_euler + press ) * u2 ;
s_euler.set_std_base() ;
// The derived quantities are obsolete
// -----------------------------------
del_deriv() ;
}
}
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