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* Definition of Lorene class Binaire
*
*/
/*
* Copyright (c) 2000-2003 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
*
*/
#ifndef __BINAIRE_H_
#define __BINAIRE_H_
/*
* $Id: binaire.h,v 1.6 2014/10/13 08:52:32 j_novak Exp $
* $Log: binaire.h,v $
* Revision 1.6 2014/10/13 08:52:32 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.5 2009/06/18 18:42:13 k_taniguchi
* Defined a slightly modified code to determine
* the orbital angular velocity.
*
* Revision 1.4 2003/09/15 15:09:47 e_gourgoulhon
* Added the member function write_global.
*
* Revision 1.3 2002/06/17 14:05:16 j_novak
* friend functions are now also declared outside the class definition
*
* Revision 1.2 2001/12/20 13:00:31 k_taniguchi
* Addition of the Komar mass, the virial error by Gourgoulhon and Bonazzola, and the virial error by Friedman, Uryu, and Shibata.
*
* Revision 1.1.1.1 2001/11/20 15:19:27 e_gourgoulhon
* LORENE
*
* Revision 2.11 2001/02/28 14:27:32 keisuke
* *** empty log message ***
*
* Revision 2.10 2000/07/07 14:10:04 eric
* AJout de display_poly.
*
* Revision 2.9 2000/03/17 15:26:53 eric
* Ajout de la fonction analytical_omega.
*
* Revision 2.8 2000/03/15 16:43:12 eric
* Ajout de la fonction analytical_shift().
*
* Revision 2.7 2000/03/13 14:24:50 eric
* Ajout des membres p_ham_constr et p_mom_constr ainsi que des
* fonctions de calcul associees (verification des equations de contrainte).
*
* Revision 2.6 2000/02/18 14:52:05 eric
* Ajout des membres p_virial et p_total_ener et des fonctions de calcul
* associees.
*
* Revision 2.5 2000/02/12 17:36:39 eric
* Ajout de la fonction separation().
*
* Revision 2.4 2000/02/12 17:09:02 eric
* Ajout de la fonction orbit.
*
* Revision 2.3 2000/02/04 17:15:05 eric
* Ajout du membre ref_triad.
*
* Revision 2.2 2000/02/02 10:13:08 eric
* Ajout des fonctions de lecture/ecriture omega, x_axe.
*
* Revision 2.1 2000/01/31 17:01:46 eric
* *** empty log message ***
*
* Revision 2.0 2000/01/31 15:57:39 eric
* *** empty log message ***
*
*
* $Header: /cvsroot/Lorene/C++/Include/binaire.h,v 1.6 2014/10/13 08:52:32 j_novak Exp $
*
*/
#include "etoile.h"
namespace Lorene {
/**
* Binary systems.
*
* @version #$Id: binaire.h,v 1.6 2014/10/13 08:52:32 j_novak Exp $#
*/
class Binaire {
// Data :
// -----
private:
/** Cartesian triad of the absolute reference frame
*
*/
const Base_vect_cart ref_triad ;
/// First star of the system
Etoile_bin star1 ;
/// Second star of the system
Etoile_bin star2 ;
/** Array of the two stars (to perform loops on the stars):
* {\tt et[0]} contains the address of {\tt star1} and {\tt et[1]}
* that of {\tt star2}.
*/
Etoile_bin* et[2] ;
/** Angular velocity with respect to an asymptotically inertial
* observer
*/
double omega ;
/** Absolute X coordinate of the rotation axis
*/
double x_axe ;
// Derived data :
// ------------
private:
/// Total ADM mass of the system
mutable double* p_mass_adm ;
/// Total Komar mass of the system
mutable double* p_mass_kom ;
/// Total angular momentum of the system
mutable Tbl* p_angu_mom ;
/// Total energy of the system
mutable double* p_total_ener ;
/// Virial theorem error
mutable double* p_virial ;
/// Virial theorem error by E.Gourgoulhon and S.Bonazzola.
mutable double* p_virial_gb ;
/// Virial theorem error by J.L.Friedman, K.Uryu, and M.Shibata.
mutable double* p_virial_fus ;
/// Relative error on the Hamiltonian constraint
mutable double* p_ham_constr ;
/// Relative error on the momentum constraint
mutable Tbl* p_mom_constr ;
// Constructors - Destructor
// -------------------------
public:
/** Standard constructor.
*
* @param mp1 Mapping on which {\tt star1} will be defined
* @param nzet1 Number of domains occupied by {\tt star1}
* @param eos1 Equation of state of {\tt star1}
* @param irrot1 should be {\tt true} if {\tt star1} is irrotational,
* {\tt false} if {\tt star1} is corotating
* @param mp2 Mapping on which {\tt star2} will be defined
* @param nzet2 Number of domains occupied by {\tt star2}
* @param eos2 Equation of state of {\tt star2}
* @param irrot2 should be {\tt true} if {\tt star2} is irrotational,
* {\tt false} if {\tt star2} is corotating
* @param relat should be {\tt true} for a relativistic configuration,
* {\tt false} for a Newtonian one
*
*/
Binaire(Map& mp1, int nzet1, const Eos& eos1, int irrot1,
Map& mp2, int nzet2, const Eos& eos2, int irrot2,
int relat) ;
Binaire(const Binaire& ) ; /// Copy constructor
/** Constructor from a file (see {\tt sauve(FILE* )}).
*
* @param mp1 Mapping on which {\tt star1} will be defined
* @param eos1 Equation of state of {\tt star1}
* @param mp2 Mapping on which {\tt star2} will be defined
* @param eos2 Equation of state of {\tt star2}
* @param fich input file (must have been created by the function
* {\tt sauve})
*/
Binaire(Map& mp1, const Eos& eos1, Map& mp2, const Eos& eos2,
FILE* fich) ;
~Binaire() ; /// Destructor
// Memory management
// -----------------
private:
/// Deletes all the derived quantities
void del_deriv() const ;
/// Sets to {\tt 0x0} all the pointers on derived quantities
void set_der_0x0() const ;
// Mutators / assignment
// ---------------------
public:
/// Assignment to another {\tt Binaire}
void operator=(const Binaire&) ;
/// Read/write of the star no. i
Etoile_bin& set(int i)
{ assert( (i==1) || (i==2) );
del_deriv() ;
return *et[i-1] ;} ;
/// Sets the orbital angular velocity [{\tt f\_unit}]
double& set_omega() {return omega; } ;
/// Sets the absolute coordinate X of the rotation axis [{\tt r\_unit}]
double& set_x_axe() {return x_axe; } ;
// Accessors
// ---------
public:
/// Returns a reference to the star no. i
const Etoile_bin& operator()(int i) const
{ assert( (i==1) || (i==2) );
return *et[i-1] ;} ;
/// Returns the orbital angular velocity [{\tt f\_unit}]
double get_omega() const {return omega; } ;
/// Returns the absolute coordinate X of the rotation axis [{\tt r\_unit}]
double get_x_axe() const {return x_axe; } ;
/** Returns the coordinate separation of the two stellar
* centers [{\tt r\_unit}]
*/
double separation() const ;
// Outputs
// -------
public:
void sauve(FILE *) const ; /// Save in a file
/// Display
friend ostream& operator<<(ostream& , const Binaire& ) ;
/// Display in polytropic units
void display_poly(ostream& ) const ;
/** Write global quantities in a formatted file.
* This file can be read by an external program.
*/
void write_global(ostream& ) const ;
private:
/// Operator >> (function called by the operator <<).
ostream& operator>>(ostream& ) const ;
// Computational routines
// ----------------------
public:
/// Total ADM mass
double mass_adm() const ;
/// Total Komar mass
double mass_kom() const ;
/** Total angular momentum.
*
* @return 1-D {\tt Tbl} of size 3, according to \\
* {\tt angu\_mom()(0)} = $J^X$, \\
* {\tt angu\_mom()(1)} = $J^Y$, \\
* {\tt angu\_mom()(2)} = $J^Z$.
*/
const Tbl& angu_mom() const ;
/** Total energy (excluding the rest mass energy).
*
* In the Newtonian case, it is defined as the sum of kinetic,
* internal, and gravitational potential energies.
*
* In the relativistic case, it is defined as
* $M_{\rm ADM} - M_{\rm bar,1} - M_{\rm bar,2}$.
*/
double total_ener() const ;
/** Estimates the relative error on the virial theorem
* (for a relativistic one,
* it returns $|1 - M_{\rm Komar} / M_{\rm ADM}|$)
*/
double virial() const ;
/** Estimates the relative error on the virial theorem
* calculated by E.Gourgoulhon and S.Bonazzola
* (Class. Quantum Grav. 11, 443 (1994): Eq.(29))
* normalized by $2 \pi G$.
*/
double virial_gb() const ;
/** Estimates the relative error on the virial theorem
* calculated by J.L.Friedman, K.Uryu, and M.Shibata
* (PRD accepted, gr-qc/0108070)
*
* The expression used in the LORENE is Eq.(5.7) in the paper
* by M.Shibata and K.Uryu (PRD64, 104017 (2001))
*/
double virial_fus() const ;
/** Estimates the relative error on the Hamiltonian constraint
* equation by comparing $\underline\Delta\ln A$ with
* \begin{equation}
* -4\pi A^2 E - {A^2\over 4} K_{ij} K^{ij} - {1\over 2}
* {\overline\nabla}_i \ln A {\overline\nabla}^i \ln A
* \end{equation}
*/
double ham_constr() const ;
/** Estimates the relative error on the momentum constraint
* equation by comparing ${\overline\nabla}_j K^{ij}$ with
* \begin{equation}
* 8\pi J^i - 5 K^{ij} {\overline\nabla}_j \ln A
* \end{equation}
*/
const Tbl& mom_constr() const ;
/** Computes the orbital angular velocity {\tt omega} and the
* position of the rotation axis {\tt x\_axe}.
*
* @param fact_omeg_min [input] : determines the lower bound of the
* interval {\tt [omega\_min, omega\_max]} in which
* {\tt omega} is searched by
* {\tt omega\_min = fact\_omeg\_min * omega},
* where {\tt omega} is the previous value of the
* angular velocity
* (typical value : {\tt fact\_omeg\_min = 0.5})
*
* @param fact_omeg_max [input] : determines the higher bound of the
* interval {\tt [omega\_min, omega\_max]} in which
* {\tt omega} is searched by
* {\tt omega\_max = fact\_omeg\_max * omega},
* where {\tt omega} is the previous value of the
* angular velocity.
* (typical value : {\tt fact\_omeg\_max = 1.5})
*
* @param xgg1 [output] : x coordinate (relative to star 1 mapping)
* of the ``center of mass'' of star 1
*
* @param xgg2 [output] : x coordinate (relative to star 2 mapping)
* of the ``center of mass'' of star 2
*
*/
void orbit(double fact_omeg_min, double fact_omeg_max, double& xgg1,
double& xgg2) ;
/** Computes the orbital angular velocity {\tt omega} and the
* position of the rotation axis {\tt x\_axe}.
*
* @param fact_omeg_min [input] : determines the lower bound of the
* interval {\tt [omega\_min, omega\_max]} in which
* {\tt omega} is searched by
* {\tt omega\_min = fact\_omeg\_min * omega},
* where {\tt omega} is the previous value of the
* angular velocity
* (typical value : {\tt fact\_omeg\_min = 0.5})
*
* @param fact_omeg_max [input] : determines the higher bound of the
* interval {\tt [omega\_min, omega\_max]} in which
* {\tt omega} is searched by
* {\tt omega\_max = fact\_omeg\_max * omega},
* where {\tt omega} is the previous value of the
* angular velocity.
* (typical value : {\tt fact\_omeg\_max = 1.5})
*
* @param mass1 [input] : baryon rest mass of NS1
*
* @param mass2 [input] : baryon rest mass of NS2
*
* @param xgg1 [output] : x coordinate (relative to star 1 mapping)
* of the ``center of mass'' of star 1
*
* @param xgg2 [output] : x coordinate (relative to star 2 mapping)
* of the ``center of mass'' of star 2
*
*/
void orbit_eqmass(double fact_omeg_min, double fact_omeg_max,
double mass1, double mass2,
double& xgg1, double& xgg2) ;
/** Sets the orbital angular velocity to some 2-PN analytical
* value (Keplerian value in the Newtonian case)
*/
void analytical_omega() ;
/** Sets some analytical template for the shift vector (via the
* members {\tt w\_shift} and {\tt khi\_shift} of the two
* {\tt Etoile\_bin}.
*/
void analytical_shift() ;
};
ostream& operator<<(ostream& , const Binaire& ) ;
}
#endif
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