# Lorene::Et_bin_nsbh Class Reference

Class for a star in a NS-BH binary system. More...

#include <et_bin_nsbh.h>

Inheritance diagram for Lorene::Et_bin_nsbh:

List of all members.

## Public Member Functions

Et_bin_nsbh (Map &mp_i, int nzet_i, bool relat, const Eos &eos_i, bool irrot, const Base_vect &ref_triad_i)
Standard constructor.
Et_bin_nsbh (const Et_bin_nsbh &)
Et_bin_nsbh (Map &mp_i, const Eos &eos_i, const Base_vect &ref_triad_i, FILE *fich, bool old=false)
Copy constructor.
void operator= (const Et_bin_nsbh &)
Destructor.
Tenseurset_n_auto ()
Read/write the lapse { N} generated principaly by the star.
Tenseurset_n_comp ()
Read/write the lapse { N} generated principaly by the companion star.
Tenseurset_confpsi_auto ()
Read/write the conformal factor $$generated principaly by the star. Tenseurset_confpsi_comp () Read/write the conformal factor$$ generated principaly by the companion star.
const Tenseurget_n_auto () const
Returns the part of the lapse { N} generated principaly by the star.
const Tenseurget_n_comp () const
Returns the part of the lapse { N} generated principaly by the companion star.
const Tenseurget_d_n_auto () const
Returns the gradient of { n} (Cartesian components with respect to { ref}).
const Tenseurget_d_n_comp () const
Returns the gradient of { n} (Cartesian components with respect to { ref}).
const Tenseurget_confpsi () const
Returns the part of the conformal factor $$. const Tenseurget_confpsi_auto () const Returns the part of the conformal factor$$ generated principaly by the star.
const Tenseurget_confpsi_comp () const
Returns the part of the conformal factor $$generated principaly by the companion star. const Tenseurget_d_confpsi_auto () const Returns the gradient of { confpsi} (Cartesian components with respect to { ref}). const Tenseurget_d_confpsi_comp () const Returns the gradient of { confpsi} (Cartesian components with respect to { ref}). const Tenseur_symget_taij_auto () const Returns the part of the extrinsic curvature tensor  A^{ij} = 2 N K^{ij} generated by { shift}. const Tenseur_symget_taij_comp () const Returns the part of the extrinsic curvature tensor  A^{ij} = 2 N K^{ij} generated by { shift}. const Tenseur_symget_taij_tot () const Returns the total extrinsic curvature tensor  A^{ij} = 2 N K^{ij} generated by { shift} and { shift}. const Tenseur_symget_tkij_auto () const Returns the part of the extrinsic curvature tensor K^{ij} generated by { shift}. const Tenseur_symget_tkij_tot () const Returns the total extrinsic curvature tensor K^{ij} generated by { shift} and { shift}. virtual void sauve (FILE *) const Save in a file. void fait_taij_auto () Computes (LB)^{ij} auto. void update_metric (const Bhole &comp) Computes metric coefficients from known potentials, when the companion is a black hole. void update_metric_der_comp (const Bhole &comp) Computes the derivative of metric functions related to the companion black hole. virtual void equilibrium_nsbh (double ent_c, int mermax, int mermax_poisson, double relax_poisson, int mermax_potvit, double relax_potvit, double thres_adapt, const Tbl &fact, Tbl &diff) Computes an equilibrium configuration in a NS-BH binary system. void equilibrium_nsbh (bool, double, int &, int, int, double, int, double, Tbl &) virtual void kinematics (double omega, double x_axe) Computes the quantities bsn and pot_centri . double compute_angul () const double compute_axe (double) const Tenseurset_logn_comp () Read/write the part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principaly by the companion star. Tenseurset_pot_centri () Read/write the centrifugal potential. Tenseurset_w_shift () Read/write of w_shift. Tenseurset_khi_shift () Read/write of khi_shift. bool is_irrotational () const Returns true for an irrotational motion, false for a corotating one. const Tenseurget_psi0 () const Returns the non-translational part of the velocity potential. const Tenseurget_d_psi () const Returns the gradient of the velocity potential (Cartesian components with respect to ref_triad ). const Tenseurget_wit_w () const Returns the spatial projection of the fluid 3-velocity with respect to the co-orbiting observer. const Tenseurget_loggam () const Returns the logarithm of the Lorentz factor between the fluid and the co-orbiting observer. const Tenseurget_logn_comp () const Returns the part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principaly by the companion star. const Tenseurget_d_logn_auto () const Returns the gradient of logn_auto (Cartesian components with respect to ref_triad ). const Tenseurget_d_logn_auto_regu () const Returns the gradient of logn_auto_regu (Cartesian components with respect to ref_triad ). const Tenseurget_d_logn_comp () const Returns the gradient of logn_comp (Cartesian components with respect to ref_triad ). const Tenseurget_beta_comp () const Returns the part of the logarithm of AN generated principaly by the companion star. const Tenseurget_d_beta_auto () const Returns the gradient of beta_auto (Cartesian components with respect to ref_triad ). const Tenseurget_d_beta_comp () const Returns the gradient of beta_comp (Cartesian components with respect to ref_triad ). const Tenseurget_shift_auto () const Returns the part of the shift vector generated principaly by the star. const Tenseurget_shift_comp () const Returns the part of the shift vector generated principaly by the companion star. const Tenseurget_w_shift () const Returns the vector used in the decomposition of shift_auto , following Shibata's prescription [Prog. const Tenseurget_khi_shift () const Returns the scalar used in the decomposition of shift_auto following Shibata's prescription [Prog. const Tenseur_symget_tkij_comp () const Returns the part of the extrinsic curvature tensor generated by shift_comp . const Tenseurget_akcar_auto () const Returns the part of the scalar generated by shift_auto , i.e. const Tenseurget_akcar_comp () const Returns the part of the scalar generated by shift_auto and shift_comp , i.e. const Tenseurget_bsn () const Returns the shift vector, divided by N , of the rotating coordinates, . const Tenseurget_pot_centri () const Returns the centrifugal potential. const Cmp get_decouple () const Returns the function used to construct tkij_auto from tkij_tot . virtual double mass_b () const Baryon mass. virtual double mass_g () const Gravitational mass. virtual double xa_barycenter () const Absolute coordinate X of the barycenter of the baryon density, defined according to the formula where is the Lorentz factor between the fluid and Eulerian observers. virtual Tenseur sprod (const Tenseur &t1, const Tenseur &t2) const Performs the scalar product of two tensors by contracting the last index of t1 with the first index of t2 . virtual void hydro_euler () Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid frame, as well as wit_w and loggam . void update_metric (const Etoile_bin &comp) Computes metric coefficients from known potentials, when the companion is another star. void update_metric (const Etoile_bin &comp, const Etoile_bin &star_prev, double relax) Same as update_metric(const Etoile_bin& ) but with relaxation. void update_metric_der_comp (const Etoile_bin &comp) Computes the derivative of metric functions related to the companion star. void fait_d_psi () Computes the gradient of the total velocity potential . void fait_shift_auto () Computes shift_auto from w_shift and khi_shift according to Shibata's prescription [Prog. virtual void extrinsic_curvature () Computes tkij_auto and akcar_auto from shift_auto , nnn and a_car . void equilibrium (double ent_c, int mermax, int mermax_poisson, double relax_poisson, int mermax_potvit, double relax_potvit, double thres_adapt, const Tbl &fact, Tbl &diff, const Tbl *ent_limit=0x0) Computes an equilibrium configuration. void equil_regular (double ent_c, int mermax, int mermax_poisson, double relax_poisson, int mermax_potvit, double relax_potvit, double thres_adapt, const Tbl &fact, Tbl &diff) Computes an equilibrium configuration by regularizing the diverging source. double velocity_potential (int mermax, double precis, double relax) Computes the non-translational part of the velocity scalar potential by solving the continuity equation. void relaxation (const Etoile_bin &star_prev, double relax_ent, double relax_met, int mer, int fmer_met) Performs a relaxation on ent , logn_auto , beta_auto and shift_auto . Mapset_mp () Read/write of the mapping. void set_enthalpy (const Cmp &) Assignment of the enthalpy field. virtual void equation_of_state () Computes the proper baryon and energy density, as well as pressure from the enthalpy. virtual void equilibrium_spher (double ent_c, double precis=1.e-14, const Tbl *ent_limit=0x0) Computes a spherical static configuration. void equil_spher_regular (double ent_c, double precis=1.e-14) Computes a spherical static configuration. virtual void equil_spher_falloff (double ent_c, double precis=1.e-14) Computes a spherical static configuration with the outer boundary condition at a finite radius. const Mapget_mp () const Returns the mapping. int get_nzet () const Returns the number of domains occupied by the star. bool is_relativistic () const Returns true for a relativistic star, false for a Newtonian one. const Eosget_eos () const Returns the equation of state. const Tenseurget_ent () const Returns the enthalpy field. const Tenseurget_nbar () const Returns the proper baryon density. const Tenseurget_ener () const Returns the proper total energy density. const Tenseurget_press () const Returns the fluid pressure. const Tenseurget_ener_euler () const Returns the total energy density with respect to the Eulerian observer. const Tenseurget_s_euler () const Returns the trace of the stress tensor in the Eulerian frame. const Tenseurget_gam_euler () const Returns the Lorentz factor between the fluid and Eulerian observers. const Tenseurget_u_euler () const Returns the fluid 3-velocity with respect to the Eulerian observer. const Tenseurget_logn_auto () const Returns the logarithm of the part of the lapse N generated principaly by the star. const Tenseurget_logn_auto_regu () const Returns the regular part of the logarithm of the part of the lapse N generated principaly by the star. const Tenseurget_logn_auto_div () const Returns the divergent part of the logarithm of the part of the lapse N generated principaly by the star. const Tenseurget_d_logn_auto_div () const Returns the gradient of logn_auto_div. const Tenseurget_beta_auto () const Returns the logarithm of the part of the product AN generated principaly by the star. const Tenseurget_nnn () const Returns the total lapse function N. const Tenseurget_shift () const Returns the total shift vector . const Tenseurget_a_car () const Returns the total conformal factor . double ray_eq () const Coordinate radius at , [r_unit]. double ray_eq (int kk) const Coordinate radius at , [r_unit]. double ray_eq_pis2 () const Coordinate radius at , [r_unit]. double ray_eq_pi () const Coordinate radius at , [r_unit]. double ray_eq_3pis2 () const Coordinate radius at , [r_unit]. double ray_pole () const Coordinate radius at [r_unit]. virtual const Itbll_surf () const Description of the stellar surface: returns a 2-D Itbl containing the values of the domain index l on the surface at the collocation points in . const Tblxi_surf () const Description of the stellar surface: returns a 2-D Tbl containing the values of the radial coordinate on the surface at the collocation points in . ## Protected Member Functions virtual ostream & operator>> (ostream &) const Save in a file. virtual void del_deriv () const Deletes all the derived quantities. virtual void set_der_0x0 () const Sets to 0x0 all the pointers on derived quantities. virtual void del_hydro_euler () Sets to ETATNONDEF (undefined state) the hydrodynamical quantities relative to the Eulerian observer. ## Protected Attributes Tenseur n_auto Part of the lapse { N} generated principaly by the star. Tenseur n_comp Part of the lapse { N} generated principaly by the companion star. Tenseur d_n_auto Gradient of { n} (Cartesian components with respect to { ref}). Tenseur d_n_comp Gradient of { n} (Cartesian components with respect to { ref}). Tenseur confpsi Total conformal factor$$.
Tenseur confpsi_auto
Part of the conformal factor $$generated principaly by the star. Tenseur confpsi_comp Part of the conformal factor$$ generated principaly by the companion star.
Tenseur d_confpsi_auto
Gradient of { confpsi} (Cartesian components with respect to { ref}).
Tenseur d_confpsi_comp
Gradient of { confpsi} (Cartesian components with respect to { ref}).
Tenseur_sym taij_auto
Part of the extrinsic curvature tensor $A^{ij} = 2 N K^{ij}$ generated by { shift}.
Tenseur_sym taij_comp
Part of the extrinsic curvature tensor $A^{ij} = 2 N K^{ij}$ generated by { shift}.
Tenseur_sym taij_tot
Total extrinsic curvature tensor $A^{ij} = 2 N K^{ij}$ generated by { shift} and { shift}.
Tenseur_sym tkij_auto
Part of the extrinsic curvature tensor $K^{ij}$ generated by { shift}.
Tenseur_sym tkij_tot
Total extrinsic curvature tensor $K^{ij}$ generated by { shift} and { shift}.
Cmp ssjm1_lapse
Effective source at the previous step for the resolution of the Poisson equation for { n} by means of { Mappoisson}.
Cmp ssjm1_confpsi
Effective source at the previous step for the resolution of the Poisson equation for { confpsi} by means of { Mappoisson}.
bool irrotational
true for an irrotational star, false for a corotating one
Reference triad ("absolute frame"), with respect to which the components of all the member Tenseur 's are defined, except for w_shift and ssjm1_wshift .
Tenseur psi0
Scalar potential of the non-translational part of fluid 4-velocity (in the irrotational case).
Tenseur d_psi
Gradient of (in the irrotational case) (Cartesian components with respect to ref_triad ).
Tenseur wit_w
Spatial projection of the fluid 3-velocity with respect to the co-orbiting observer.
Tenseur loggam
Logarithm of the Lorentz factor between the fluid and the co-orbiting observer.
Tenseur logn_comp
Part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principaly by the companion star.
Tenseur d_logn_auto
Gradient of logn_auto (Cartesian components with respect to ref_triad ).
Tenseur d_logn_auto_regu
Gradient of logn_auto_regu (Cartesian components with respect to ref_triad ).
Tenseur d_logn_comp
Gradient of logn_comp (Cartesian components with respect to ref_triad ).
Tenseur beta_comp
Part of the logarithm of AN generated principaly by the companion star.
Tenseur d_beta_auto
Gradient of beta_auto (Cartesian components with respect to ref_triad ).
Tenseur d_beta_comp
Gradient of beta_comp (Cartesian components with respect to ref_triad ).
Tenseur shift_auto
Part of the shift vector generated principaly by the star.
Tenseur shift_comp
Part of the shift vector generated principaly by the companion star.
Tenseur w_shift
Vector used in the decomposition of shift_auto , following Shibata's prescription [Prog.
Tenseur khi_shift
Scalar used in the decomposition of shift_auto , following Shibata's prescription [Prog.
Tenseur_sym tkij_comp
Part of the extrinsic curvature tensor generated by shift_comp .
Tenseur akcar_auto
Part of the scalar generated by shift_auto , i.e.
Tenseur akcar_comp
Part of the scalar generated by shift_auto and shift_comp , i.e.
Tenseur bsn
3-vector shift, divided by N , of the rotating coordinates, .
Tenseur pot_centri
Centrifugal potential.
Cmp ssjm1_logn
Effective source at the previous step for the resolution of the Poisson equation for logn_auto by means of Map_et::poisson .
Cmp ssjm1_beta
Effective source at the previous step for the resolution of the Poisson equation for beta_auto by means of Map_et::poisson .
Cmp ssjm1_khi
Effective source at the previous step for the resolution of the Poisson equation for the scalar by means of Map_et::poisson .
Tenseur ssjm1_wshift
Effective source at the previous step for the resolution of the vector Poisson equation for by means of Map_et::poisson .
Cmp ssjm1_psi
Effective source at the previous step for the resolution of the Poisson equation for the scalar by means of Map_et::poisson_interne .
Cmp decouple
Function used to construct the part of generated by the star from the total .
double * p_xa_barycenter
Absolute coordinate X of the barycenter of the baryon density.
Mapmp
Mapping associated with the star.
int nzet
Number of domains of *mp occupied by the star.
bool relativistic
Indicator of relativity: true for a relativistic star, false for a Newtonian one.
double unsurc2
: unsurc2=1 for a relativistic star, 0 for a Newtonian one.
int k_div
Index of regularity of the gravitational potential logn_auto .
const Eoseos
Equation of state of the stellar matter.
Tenseur ent
Log-enthalpy (relativistic case) or specific enthalpy (Newtonian case).
Tenseur nbar
Baryon density in the fluid frame.
Tenseur ener
Total energy density in the fluid frame.
Tenseur press
Fluid pressure.
Tenseur ener_euler
Total energy density in the Eulerian frame.
Tenseur s_euler
Trace of the stress tensor in the Eulerian frame.
Tenseur gam_euler
Lorentz factor between the fluid and Eulerian observers.
Tenseur u_euler
Fluid 3-velocity with respect to the Eulerian observer.
Tenseur logn_auto
Total of the logarithm of the part of the lapse N generated principaly by the star.
Tenseur logn_auto_regu
Regular part of the logarithm of the part of the lapse N generated principaly by the star.
Tenseur logn_auto_div
Divergent part (if k_div!=0 ) of the logarithm of the part of the lapse N generated principaly by the star.
Tenseur d_logn_auto_div
Gradient of logn_auto_div (if k_div!=0 ).
Tenseur beta_auto
Logarithm of the part of the product AN generated principaly by by the star.
Tenseur nnn
Total lapse function.
Tenseur shift
Total shift vector.
Tenseur a_car
Total conformal factor .
double * p_ray_eq
double * p_ray_eq_pis2
double * p_ray_eq_pi
double * p_ray_eq_3pis2
double * p_ray_pole
Itblp_l_surf
Description of the stellar surface: 2-D Itbl containing the values of the domain index l on the surface at the collocation points in .
Tblp_xi_surf
Description of the stellar surface: 2-D Tbl containing the values of the radial coordinate on the surface at the collocation points in .
double * p_mass_b
Baryon mass.
double * p_mass_g
Gravitational mass.

## Friends

class Bin_ns_bh
Friend class Bin_ns_bh.
ostream & operator<< (ostream &, const Etoile &)
Display.

## Detailed Description

Class for a star in a NS-BH binary system.

This class is a derived class from { Etoile}

Version:
$Id: et_bin_nsbh.h,v 1.9 2014/10/13 08:52:34 j_novak Exp$#

Definition at line 79 of file et_bin_nsbh.h.

## Constructor & Destructor Documentation

 Lorene::Et_bin_nsbh::Et_bin_nsbh ( Map & mp_i, int nzet_i, bool relat, const Eos & eos_i, bool irrot, const Base_vect & ref_triad_i )

Standard constructor.

Parameters:
 mp_i Mapping on which the star will be defined nzet_i Number of domains occupied by the star relat should be { true} for a relativistic star, { false} for a Newtonian one eos_i Equation of state of the stellar matter irrot should be { true} for an irrotational star, { false} for a corotating one ref_triad_i Reference triad ("absolute frame"), with respect to which the components of all the member { Tenseur}'s are defined, except for { w} and { ssjm1} whose components are defined with respect to the mapping { mp} Cartesian triad.

Definition at line 98 of file et_bin_nsbh.C.

 Lorene::Et_bin_nsbh::Et_bin_nsbh ( Map & mp_i, const Eos & eos_i, const Base_vect & ref_triad_i, FILE * fich, bool old = false )

Copy constructor.

Constructor from a file (see { sauve(FILE* )})

Parameters:
 mp_i Mapping on which the star will be defined eos_i Equation of state of the stellar matter ref_triad_i Reference triad ("absolute frame"), with respect to which the components of all the member { Tenseur}'s are defined, except for { w} and { ssjm1} whose components are defined with respect to the mapping { mp} Cartesian triad. fich input file (must have been created by the function { sauve})

Definition at line 176 of file et_bin_nsbh.C.

## Member Function Documentation

 void Lorene::Etoile_bin::del_deriv ( ) const [protected, virtual, inherited]

Deletes all the derived quantities.

Reimplemented from Lorene::Etoile.

Definition at line 450 of file etoile_bin.C.

 void Lorene::Etoile_bin::del_hydro_euler ( )  [protected, virtual, inherited]

Sets to ETATNONDEF (undefined state) the hydrodynamical quantities relative to the Eulerian observer.

Reimplemented from Lorene::Etoile.

Definition at line 470 of file etoile_bin.C.

References Lorene::Etoile_bin::del_deriv().

 void Lorene::Etoile::equation_of_state ( )  [virtual, inherited]

Computes the proper baryon and energy density, as well as pressure from the enthalpy.

Reimplemented in Lorene::Et_rot_bifluid, and Lorene::Et_magnetisation.

Definition at line 569 of file etoile.C.

 void Lorene::Etoile_bin::equil_regular ( double ent_c, int mermax, int mermax_poisson, double relax_poisson, int mermax_potvit, double relax_potvit, double thres_adapt, const Tbl & fact, Tbl & diff )  [inherited]

Computes an equilibrium configuration by regularizing the diverging source.

The values of logn_comp , beta_comp , pot_centri are held fixed during the iteration.

Parameters:
 ent_c [input] Central enthalpy ent_limit is the table of enthalpy values on the domain borders mermax [input] Maximum number of steps mermax_poisson [input] Maximum number of steps in Map_et::poisson relax_poisson [input] Relaxation factor in Map_et::poisson mermax_potvit [input] Maximum number of steps in Map_radial::poisson_compact relax_potvit [input] Relaxation factor in Map_radial::poisson_compact thres_adapt [input] Threshold on dH/dr for the adaptation of the mapping fact [input] 1-D Tbl for the input of some factors : fact(0) : A resizing factor for the first shell diff [output] 1-D Tbl for the storage of some error indicators : diff(0) : Relative change in the enthalpy field between two successive steps diff(1) : Relative error returned by the routine Etoile_bin::velocity_potential diff(2) : Relative error in the resolution of the Poisson equation for logn_auto diff(3) : Relative error in the resolution of the Poisson equation for beta_auto diff(4) : Relative error in the resolution of the equation for shift_auto (x comp.) diff(5) : Relative error in the resolution of the equation for shift_auto (y comp.) diff(6) : Relative error in the resolution of the equation for shift_auto (z comp.)

Definition at line 147 of file et_bin_equil_regu.C.

 void Lorene::Etoile::equil_spher_falloff ( double ent_c, double precis = 1.e-14 )  [virtual, inherited]

Computes a spherical static configuration with the outer boundary condition at a finite radius.

Parameters:
 ent_c [input] central value of the enthalpy precis [input] threshold in the relative difference between the enthalpy fields of two consecutive steps to stop the iterative procedure (default value: 1.e-14)

Definition at line 60 of file etoile_eqsph_falloff.C.

 void Lorene::Etoile::equil_spher_regular ( double ent_c, double precis = 1.e-14 )  [inherited]

Computes a spherical static configuration.

The sources for Poisson equations are regularized by extracting analytical diverging parts.

Parameters:
 ent_c [input] central value of the enthalpy precis [input] threshold in the relative difference between the enthalpy fields of two consecutive steps to stop the iterative procedure (default value: 1.e-14)

Definition at line 118 of file et_equil_spher_regu.C.

 void Lorene::Etoile_bin::equilibrium ( double ent_c, int mermax, int mermax_poisson, double relax_poisson, int mermax_potvit, double relax_potvit, double thres_adapt, const Tbl & fact, Tbl & diff, const Tbl * ent_limit = 0x0 )  [inherited]

Computes an equilibrium configuration.

The values of logn_comp , beta_comp , pot_centri are held fixed during the iteration.

Parameters:
 ent_c [input] Central enthalpy mermax [input] Maximum number of steps mermax_poisson [input] Maximum number of steps in Map_et::poisson relax_poisson [input] Relaxation factor in Map_et::poisson mermax_potvit [input] Maximum number of steps in Map_radial::poisson_compact relax_potvit [input] Relaxation factor in Map_radial::poisson_compact thres_adapt [input] Threshold on dH/dr for the adaptation of the mapping fact [input] 1-D Tbl for the input of some factors : fact(0) : A resizing factor for the first shell diff [output] 1-D Tbl for the storage of some error indicators : diff(0) : Relative change in the enthalpy field between two successive steps diff(1) : Relative error returned by the routine Etoile_bin::velocity_potential diff(2) : Relative error in the resolution of the Poisson equation for logn_auto diff(3) : Relative error in the resolution of the Poisson equation for beta_auto diff(4) : Relative error in the resolution of the equation for shift_auto (x comp.) diff(5) : Relative error in the resolution of the equation for shift_auto (y comp.) diff(6) : Relative error in the resolution of the equation for shift_auto (z comp.) ent_limit [input] : array of enthalpy values to be set at the boundaries between the domains; if set to 0x0 (default), the initial values will be kept.

Definition at line 187 of file et_bin_equilibrium.C.

 void Lorene::Et_bin_nsbh::equilibrium_nsbh ( double ent_c, int mermax, int mermax_poisson, double relax_poisson, int mermax_potvit, double relax_potvit, double thres_adapt, const Tbl & fact, Tbl & diff )  [virtual]

Computes an equilibrium configuration in a NS-BH binary system.

The values of { n}, { confpsi}, { pot} are held fixed during the iteration.

Parameters:
 ent_c [input] Central enthalpy mermax [input] Maximum number of steps mermax_poisson [input] Maximum number of steps in Mappoisson relax_poisson [input] Relaxation factor in Mappoisson mermax_potvit [input] Maximum number of steps in Mappoisson relax_potvit [input] Relaxation factor in Mappoisson thres_adapt [input] Threshold on dH/dr for the adaptation of the mapping fact [input] 1-D { Tbl} for the input of some factors : \ { fact(0)} : A resizing factor for the first shell diff [output] 1-D { Tbl} for the storage of some error indicators : \ { diff(0)} : Relative change in the enthalpy field between two successive steps \ { diff(1)} : Relative error returned by the routine { Etoilevelocity} { diff(2)} : Relative error in the resolution of the Poisson equation for { n} \ { diff(3)} : Relative error in the resolution of the Poisson equation for { confpsi} \ { diff(4)} : Relative error in the resolution of the equation for { shift} (x comp.) \ { diff(5)} : Relative error in the resolution of the equation for { shift} (y comp.) \ { diff(6)} : Relative error in the resolution of the equation for { shift} (z comp.)

Definition at line 497 of file et_bin_nsbh_equilibrium.C.

 void Lorene::Etoile::equilibrium_spher ( double ent_c, double precis = 1.e-14, const Tbl * ent_limit = 0x0 )  [virtual, inherited]

Computes a spherical static configuration.

Parameters:
 ent_c [input] central value of the enthalpy precis [input] threshold in the relative difference between the enthalpy fields of two consecutive steps to stop the iterative procedure (default value: 1.e-14) ent_limit [input] : array of enthalpy values to be set at the boundaries between the domains; if set to 0x0 (default), the initial values will be kept.

Definition at line 90 of file etoile_equil_spher.C.

 void Lorene::Etoile_bin::extrinsic_curvature ( )  [virtual, inherited]

Computes tkij_auto and akcar_auto from shift_auto , nnn and a_car .

Definition at line 67 of file et_bin_extr_curv.C.

 void Lorene::Etoile_bin::fait_d_psi ( )  [inherited]
 void Lorene::Etoile_bin::fait_shift_auto ( )  [inherited]

Computes shift_auto from w_shift and khi_shift according to Shibata's prescription [Prog.

Theor. Phys. 101 , 1199 (1999)] :

Definition at line 829 of file etoile_bin.C.

 void Lorene::Et_bin_nsbh::fait_taij_auto ( )

Computes (LB)^{ij} auto.

To be used only when computing the total extrinsic curvature tensor in the case of a Bin_ns_bh

Definition at line 99 of file bin_ns_bh_kij.C.

 const Tenseur& Lorene::Etoile::get_a_car ( ) const [inline, inherited]

Returns the total conformal factor .

Definition at line 733 of file etoile.h.

References Lorene::Etoile::a_car.

 const Tenseur& Lorene::Etoile_bin::get_akcar_auto ( ) const [inline, inherited]

Returns the part of the scalar generated by shift_auto , i.e.

Definition at line 1204 of file etoile.h.

References Lorene::Etoile_bin::akcar_auto.

 const Tenseur& Lorene::Etoile_bin::get_akcar_comp ( ) const [inline, inherited]

Returns the part of the scalar generated by shift_auto and shift_comp , i.e.

Definition at line 1210 of file etoile.h.

References Lorene::Etoile_bin::akcar_comp.

 const Tenseur& Lorene::Etoile::get_beta_auto ( ) const [inline, inherited]

Returns the logarithm of the part of the product AN generated principaly by the star.

Definition at line 724 of file etoile.h.

References Lorene::Etoile::beta_auto.

 const Tenseur& Lorene::Etoile_bin::get_beta_comp ( ) const [inline, inherited]

Returns the part of the logarithm of AN generated principaly by the companion star.

Definition at line 1136 of file etoile.h.

References Lorene::Etoile_bin::beta_comp.

 const Tenseur& Lorene::Etoile_bin::get_bsn ( ) const [inline, inherited]

Returns the shift vector, divided by N , of the rotating coordinates, .

(Cartesian components with respect to ref_triad )

Definition at line 1216 of file etoile.h.

References Lorene::Etoile_bin::bsn.

 const Tenseur& Lorene::Et_bin_nsbh::get_confpsi ( ) const [inline]

Returns the part of the conformal factor $$. Definition at line 257 of file et_bin_nsbh.h. References confpsi.  const Tenseur& Lorene::Et_bin_nsbh::get_confpsi_auto ( ) const [inline] Returns the part of the conformal factor$$ generated principaly by the star.

Definition at line 262 of file et_bin_nsbh.h.

References confpsi_auto.

 const Tenseur& Lorene::Et_bin_nsbh::get_confpsi_comp ( ) const [inline]

Returns the part of the conformal factor $$generated principaly by the companion star. Definition at line 267 of file et_bin_nsbh.h. References confpsi_comp.  const Tenseur& Lorene::Etoile_bin::get_d_beta_auto ( ) const [inline, inherited] Returns the gradient of beta_auto (Cartesian components with respect to ref_triad ). Definition at line 1141 of file etoile.h. References Lorene::Etoile_bin::d_beta_auto.  const Tenseur& Lorene::Etoile_bin::get_d_beta_comp ( ) const [inline, inherited] Returns the gradient of beta_comp (Cartesian components with respect to ref_triad ). Definition at line 1146 of file etoile.h. References Lorene::Etoile_bin::d_beta_comp.  const Tenseur& Lorene::Et_bin_nsbh::get_d_confpsi_auto ( ) const [inline] Returns the gradient of { confpsi} (Cartesian components with respect to { ref}). Definition at line 272 of file et_bin_nsbh.h. References d_confpsi_auto.  const Tenseur& Lorene::Et_bin_nsbh::get_d_confpsi_comp ( ) const [inline] Returns the gradient of { confpsi} (Cartesian components with respect to { ref}). Definition at line 277 of file et_bin_nsbh.h. References d_confpsi_comp.  const Tenseur& Lorene::Etoile_bin::get_d_logn_auto ( ) const [inline, inherited] Returns the gradient of logn_auto (Cartesian components with respect to ref_triad ). Definition at line 1121 of file etoile.h. References Lorene::Etoile_bin::d_logn_auto.  const Tenseur& Lorene::Etoile::get_d_logn_auto_div ( ) const [inline, inherited] Returns the gradient of logn_auto_div. Definition at line 719 of file etoile.h. References Lorene::Etoile::d_logn_auto_div.  const Tenseur& Lorene::Etoile_bin::get_d_logn_auto_regu ( ) const [inline, inherited] Returns the gradient of logn_auto_regu (Cartesian components with respect to ref_triad ). Definition at line 1126 of file etoile.h. References Lorene::Etoile_bin::d_logn_auto_regu.  const Tenseur& Lorene::Etoile_bin::get_d_logn_comp ( ) const [inline, inherited] Returns the gradient of logn_comp (Cartesian components with respect to ref_triad ). Definition at line 1131 of file etoile.h. References Lorene::Etoile_bin::d_logn_comp.  const Tenseur& Lorene::Et_bin_nsbh::get_d_n_auto ( ) const [inline] Returns the gradient of { n} (Cartesian components with respect to { ref}). Definition at line 249 of file et_bin_nsbh.h. References d_n_auto.  const Tenseur& Lorene::Et_bin_nsbh::get_d_n_comp ( ) const [inline] Returns the gradient of { n} (Cartesian components with respect to { ref}). Definition at line 254 of file et_bin_nsbh.h. References d_n_comp.  const Tenseur& Lorene::Etoile_bin::get_d_psi ( ) const [inline, inherited] Returns the gradient of the velocity potential (Cartesian components with respect to ref_triad ). Definition at line 1100 of file etoile.h. References Lorene::Etoile_bin::d_psi.  const Cmp Lorene::Etoile_bin::get_decouple ( ) const [inline, inherited] Returns the function used to construct tkij_auto from tkij_tot . Definition at line 1224 of file etoile.h. References Lorene::Etoile_bin::decouple.  const Tenseur& Lorene::Etoile::get_ener ( ) const [inline, inherited] Returns the proper total energy density. Definition at line 679 of file etoile.h. References Lorene::Etoile::ener.  const Tenseur& Lorene::Etoile::get_ener_euler ( ) const [inline, inherited] Returns the total energy density with respect to the Eulerian observer. Definition at line 685 of file etoile.h. References Lorene::Etoile::ener_euler.  const Tenseur& Lorene::Etoile::get_ent ( ) const [inline, inherited] Returns the enthalpy field. Definition at line 673 of file etoile.h. References Lorene::Etoile::ent.  const Eos& Lorene::Etoile::get_eos ( ) const [inline, inherited] Returns the equation of state. Reimplemented in Lorene::Et_rot_bifluid. Definition at line 670 of file etoile.h. References Lorene::Etoile::eos.  const Tenseur& Lorene::Etoile::get_gam_euler ( ) const [inline, inherited] Returns the Lorentz factor between the fluid and Eulerian observers. Definition at line 691 of file etoile.h. References Lorene::Etoile::gam_euler.  const Tenseur& Lorene::Etoile_bin::get_khi_shift ( ) const [inline, inherited] Returns the scalar used in the decomposition of shift_auto following Shibata's prescription [Prog. Theor. Phys. 101 , 1199 (1999)] : NB: w_shift contains the components of with respect to the Cartesian triad associated with the mapping mp . Definition at line 1186 of file etoile.h. References Lorene::Etoile_bin::khi_shift.  const Tenseur& Lorene::Etoile_bin::get_loggam ( ) const [inline, inherited] Returns the logarithm of the Lorentz factor between the fluid and the co-orbiting observer. Definition at line 1111 of file etoile.h. References Lorene::Etoile_bin::loggam.  const Tenseur& Lorene::Etoile::get_logn_auto ( ) const [inline, inherited] Returns the logarithm of the part of the lapse N generated principaly by the star. In the Newtonian case, this is the Newtonian gravitational potential (in units of ). Definition at line 701 of file etoile.h. References Lorene::Etoile::logn_auto.  const Tenseur& Lorene::Etoile::get_logn_auto_div ( ) const [inline, inherited] Returns the divergent part of the logarithm of the part of the lapse N generated principaly by the star. In the Newtonian case, this is the diverging part of the Newtonian gravitational potential (in units of ). Definition at line 715 of file etoile.h. References Lorene::Etoile::logn_auto_div.  const Tenseur& Lorene::Etoile::get_logn_auto_regu ( ) const [inline, inherited] Returns the regular part of the logarithm of the part of the lapse N generated principaly by the star. In the Newtonian case, this is the Newtonian gravitational potential (in units of ). Definition at line 708 of file etoile.h. References Lorene::Etoile::logn_auto_regu.  const Tenseur& Lorene::Etoile_bin::get_logn_comp ( ) const [inline, inherited] Returns the part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principaly by the companion star. Definition at line 1116 of file etoile.h. References Lorene::Etoile_bin::logn_comp.  const Map& Lorene::Etoile::get_mp ( ) const [inline, inherited] Returns the mapping. Definition at line 659 of file etoile.h. References Lorene::Etoile::mp.  const Tenseur& Lorene::Et_bin_nsbh::get_n_auto ( ) const [inline] Returns the part of the lapse { N} generated principaly by the star. Definition at line 239 of file et_bin_nsbh.h. References n_auto.  const Tenseur& Lorene::Et_bin_nsbh::get_n_comp ( ) const [inline] Returns the part of the lapse { N} generated principaly by the companion star. Definition at line 244 of file et_bin_nsbh.h. References n_comp.  const Tenseur& Lorene::Etoile::get_nbar ( ) const [inline, inherited] Returns the proper baryon density. Definition at line 676 of file etoile.h. References Lorene::Etoile::nbar.  const Tenseur& Lorene::Etoile::get_nnn ( ) const [inline, inherited] Returns the total lapse function N. Definition at line 727 of file etoile.h. References Lorene::Etoile::nnn.  int Lorene::Etoile::get_nzet ( ) const [inline, inherited] Returns the number of domains occupied by the star. Definition at line 662 of file etoile.h. References Lorene::Etoile::nzet.  const Tenseur& Lorene::Etoile_bin::get_pot_centri ( ) const [inline, inherited] Returns the centrifugal potential. Definition at line 1219 of file etoile.h. References Lorene::Etoile_bin::pot_centri.  const Tenseur& Lorene::Etoile::get_press ( ) const [inline, inherited] Returns the fluid pressure. Definition at line 682 of file etoile.h. References Lorene::Etoile::press.  const Tenseur& Lorene::Etoile_bin::get_psi0 ( ) const [inline, inherited] Returns the non-translational part of the velocity potential. Definition at line 1095 of file etoile.h. References Lorene::Etoile_bin::psi0.  const Tenseur& Lorene::Etoile::get_s_euler ( ) const [inline, inherited] Returns the trace of the stress tensor in the Eulerian frame. Definition at line 688 of file etoile.h. References Lorene::Etoile::s_euler.  const Tenseur& Lorene::Etoile::get_shift ( ) const [inline, inherited] Returns the total shift vector . Definition at line 730 of file etoile.h. References Lorene::Etoile::shift.  const Tenseur& Lorene::Etoile_bin::get_shift_auto ( ) const [inline, inherited] Returns the part of the shift vector generated principaly by the star. (Cartesian components with respect to ref_triad ) Definition at line 1152 of file etoile.h. References Lorene::Etoile_bin::shift_auto.  const Tenseur& Lorene::Etoile_bin::get_shift_comp ( ) const [inline, inherited] Returns the part of the shift vector generated principaly by the companion star. (Cartesian components with respect to ref_triad ) Definition at line 1158 of file etoile.h. References Lorene::Etoile_bin::shift_comp.  const Tenseur_sym& Lorene::Et_bin_nsbh::get_taij_auto ( ) const [inline] Returns the part of the extrinsic curvature tensor  A^{ij} = 2 N K^{ij} generated by { shift}. (Cartesian components with respect to { ref}) Definition at line 283 of file et_bin_nsbh.h. References taij_auto.  const Tenseur_sym& Lorene::Et_bin_nsbh::get_taij_comp ( ) const [inline] Returns the part of the extrinsic curvature tensor  A^{ij} = 2 N K^{ij} generated by { shift}. (Cartesian components with respect to { ref}) Definition at line 289 of file et_bin_nsbh.h. References Lorene::Etoile_bin::tkij_comp.  const Tenseur_sym& Lorene::Et_bin_nsbh::get_taij_tot ( ) const [inline] Returns the total extrinsic curvature tensor  A^{ij} = 2 N K^{ij} generated by { shift} and { shift}. (Cartesian components with respect to { ref}) Definition at line 296 of file et_bin_nsbh.h. References taij_tot.  const Tenseur_sym& Lorene::Et_bin_nsbh::get_tkij_auto ( ) const [inline] Returns the part of the extrinsic curvature tensor K^{ij} generated by { shift}. (Cartesian components with respect to { ref}) Reimplemented from Lorene::Etoile_bin. Definition at line 302 of file et_bin_nsbh.h. References tkij_auto.  const Tenseur_sym& Lorene::Etoile_bin::get_tkij_comp ( ) const [inline, inherited] Returns the part of the extrinsic curvature tensor generated by shift_comp . (Cartesian components with respect to ref_triad ) Definition at line 1198 of file etoile.h. References Lorene::Etoile_bin::tkij_comp.  const Tenseur_sym& Lorene::Et_bin_nsbh::get_tkij_tot ( ) const [inline] Returns the total extrinsic curvature tensor K^{ij} generated by { shift} and { shift}. (Cartesian components with respect to { ref}) Definition at line 308 of file et_bin_nsbh.h. References tkij_tot.  const Tenseur& Lorene::Etoile::get_u_euler ( ) const [inline, inherited] Returns the fluid 3-velocity with respect to the Eulerian observer. Definition at line 694 of file etoile.h. References Lorene::Etoile::u_euler.  const Tenseur& Lorene::Etoile_bin::get_w_shift ( ) const [inline, inherited] Returns the vector used in the decomposition of shift_auto , following Shibata's prescription [Prog. Theor. Phys. 101 , 1199 (1999)] : NB: w_shift contains the components of with respect to the Cartesian triad associated with the mapping mp . Definition at line 1172 of file etoile.h. References Lorene::Etoile_bin::w_shift.  const Tenseur& Lorene::Etoile_bin::get_wit_w ( ) const [inline, inherited] Returns the spatial projection of the fluid 3-velocity with respect to the co-orbiting observer. (Cartesian components with respect to ref_triad ) Definition at line 1106 of file etoile.h. References Lorene::Etoile_bin::wit_w.  void Lorene::Etoile_bin::hydro_euler ( )  [virtual, inherited] Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid frame, as well as wit_w and loggam . The calculation is performed starting from the quantities ent , ener , press , a_car and bsn , which are supposed to be up to date. From these, the following fields are updated: gam_euler , u_euler , ener_euler , s_euler , wit_w and loggam . Reimplemented from Lorene::Etoile. Definition at line 109 of file et_bin_hydro.C.  bool Lorene::Etoile_bin::is_irrotational ( ) const [inline, inherited] Returns true for an irrotational motion, false for a corotating one. Definition at line 1092 of file etoile.h. References Lorene::Etoile_bin::irrotational.  bool Lorene::Etoile::is_relativistic ( ) const [inline, inherited] Returns true for a relativistic star, false for a Newtonian one. Definition at line 667 of file etoile.h. References Lorene::Etoile::relativistic.  void Lorene::Et_bin_nsbh::kinematics ( double omega, double x_axe )  [virtual] Computes the quantities bsn and pot_centri . The calculation is performed starting from the quantities nnn , shift , a_car , which are supposed to be up to date. Parameters:  omega angular velocity with respect to an asymptotically inertial observer x_axe absolute X coordinate of the rotation axis Reimplemented from Lorene::Etoile_bin. Definition at line 51 of file et_bin_nsbh_kinema.C.  const Itbl & Lorene::Etoile::l_surf ( ) const [virtual, inherited] Description of the stellar surface: returns a 2-D Itbl containing the values of the domain index l on the surface at the collocation points in . The stellar surface is defined as the location where the enthalpy (member ent ) vanishes. Reimplemented in Lorene::Et_rot_bifluid, and Lorene::Etoile_rot. Definition at line 78 of file etoile_global.C.  double Lorene::Etoile_bin::mass_b ( ) const [virtual, inherited] Baryon mass. Reimplemented from Lorene::Etoile. Definition at line 103 of file et_bin_global.C.  double Lorene::Etoile_bin::mass_g ( ) const [virtual, inherited] Gravitational mass. Reimplemented from Lorene::Etoile. Definition at line 140 of file et_bin_global.C.  void Lorene::Et_bin_nsbh::operator= ( const Et_bin_nsbh & et ) Destructor. Assignment to another { Et} Reimplemented from Lorene::Etoile_bin. Definition at line 256 of file et_bin_nsbh.C.  ostream & Lorene::Et_bin_nsbh::operator>> ( ostream & ost ) const [protected, virtual] Save in a file. Operator >> (virtual function called by the operator <<). Reimplemented from Lorene::Etoile_bin. Definition at line 331 of file et_bin_nsbh.C.  double Lorene::Etoile::ray_eq ( int kk ) const [inherited] Coordinate radius at , [r_unit]. Definition at line 443 of file etoile_global.C.  double Lorene::Etoile::ray_eq ( ) const [inherited] Coordinate radius at , [r_unit]. Definition at line 123 of file etoile_global.C.  double Lorene::Etoile::ray_eq_3pis2 ( ) const [inherited] Coordinate radius at , [r_unit]. Definition at line 338 of file etoile_global.C.  double Lorene::Etoile::ray_eq_pi ( ) const [inherited] Coordinate radius at , [r_unit]. Definition at line 259 of file etoile_global.C.  double Lorene::Etoile::ray_eq_pis2 ( ) const [inherited] Coordinate radius at , [r_unit]. Definition at line 172 of file etoile_global.C.  double Lorene::Etoile::ray_pole ( ) const [inherited] Coordinate radius at [r_unit]. Definition at line 418 of file etoile_global.C.  void Lorene::Etoile_bin::relaxation ( const Etoile_bin & star_prev, double relax_ent, double relax_met, int mer, int fmer_met )  [inherited] Performs a relaxation on ent , logn_auto , beta_auto and shift_auto . Parameters:  star_prev [input] star at the previous step. relax_ent [input] Relaxation factor for ent relax_met [input] Relaxation factor for logn_auto , beta_auto , shift_auto , only if (mer % fmer_met == 0) . mer [input] Step number fmer_met [input] Step interval between metric updates Definition at line 866 of file etoile_bin.C.  void Lorene::Et_bin_nsbh::sauve ( FILE * fich ) const [virtual] Save in a file. Reimplemented from Lorene::Etoile_bin. Definition at line 315 of file et_bin_nsbh.C.  Tenseur & Lorene::Et_bin_nsbh::set_confpsi_auto ( ) Read/write the conformal factor$$ generated principaly by the star.

Definition at line 295 of file et_bin_nsbh.C.

References confpsi_auto, and Lorene::Etoile_bin::del_deriv().

 Tenseur & Lorene::Et_bin_nsbh::set_confpsi_comp ( )

Read/write the conformal factor $$generated principaly by the companion star. Definition at line 302 of file et_bin_nsbh.C. References confpsi_comp, and Lorene::Etoile_bin::del_deriv().  void Lorene::Etoile_bin::set_der_0x0 ( ) const [protected, virtual, inherited] Sets to 0x0 all the pointers on derived quantities. Reimplemented from Lorene::Etoile. Definition at line 462 of file etoile_bin.C. References Lorene::Etoile_bin::p_xa_barycenter.  void Lorene::Etoile::set_enthalpy ( const Cmp & ent_i )  [inherited] Assignment of the enthalpy field. Definition at line 468 of file etoile.C.  Tenseur & Lorene::Etoile_bin::set_khi_shift ( )  [inherited] Read/write of khi_shift. Definition at line 548 of file etoile_bin.C. References Lorene::Etoile_bin::del_deriv(), and Lorene::Etoile_bin::khi_shift.  Tenseur & Lorene::Etoile_bin::set_logn_comp ( )  [inherited] Read/write the part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principaly by the companion star. Definition at line 527 of file etoile_bin.C. References Lorene::Etoile_bin::del_deriv(), and Lorene::Etoile_bin::logn_comp.  Map& Lorene::Etoile::set_mp ( )  [inline, inherited] Read/write of the mapping. Definition at line 601 of file etoile.h. References Lorene::Etoile::mp.  Tenseur & Lorene::Et_bin_nsbh::set_n_auto ( ) Read/write the lapse { N} generated principaly by the star. Definition at line 281 of file et_bin_nsbh.C. References Lorene::Etoile_bin::del_deriv(), and n_auto.  Tenseur & Lorene::Et_bin_nsbh::set_n_comp ( ) Read/write the lapse { N} generated principaly by the companion star. Definition at line 288 of file et_bin_nsbh.C. References Lorene::Etoile_bin::del_deriv(), and n_comp.  Tenseur & Lorene::Etoile_bin::set_pot_centri ( )  [inherited] Read/write the centrifugal potential. Definition at line 534 of file etoile_bin.C. References Lorene::Etoile_bin::del_deriv(), and Lorene::Etoile_bin::pot_centri.  Tenseur & Lorene::Etoile_bin::set_w_shift ( )  [inherited] Read/write of w_shift. Definition at line 541 of file etoile_bin.C. References Lorene::Etoile_bin::del_deriv(), and Lorene::Etoile_bin::w_shift.  Tenseur Lorene::Etoile_bin::sprod ( const Tenseur & t1, const Tenseur & t2 ) const [virtual, inherited] Performs the scalar product of two tensors by contracting the last index of t1 with the first index of t2 . Both indices are supposed to be contravariant, so that a multiplication by is performed to lower one index. For instance, for two vectors and , this function returns the scalar . Definition at line 751 of file etoile_bin.C.  void Lorene::Etoile_bin::update_metric ( const Etoile_bin & comp, const Etoile_bin & star_prev, double relax )  [inherited] Same as update_metric(const Etoile_bin& ) but with relaxation. Parameters:  comp companion star. star_prev previous value of the star. relax relaxation parameter. Definition at line 207 of file et_bin_upmetr.C.  void Lorene::Etoile_bin::update_metric ( const Etoile_bin & comp )  [inherited] Computes metric coefficients from known potentials, when the companion is another star. The calculation is performed starting from the quantities logn_auto , beta_auto , shift_auto , comp.logn_auto , comp.beta_auto , comp.shift_auto which are supposed to be up to date. From these, the following fields are updated: logn_comp , beta_comp , shift_comp , nnn , a_car , shift , d_logn_auto , d_beta_auto , tkij_auto , akcar_auto . Parameters:  comp companion star. Definition at line 103 of file et_bin_upmetr.C.  void Lorene::Et_bin_nsbh::update_metric ( const Bhole & comp ) Computes metric coefficients from known potentials, when the companion is a black hole. Parameters:  comp companion black hole Definition at line 67 of file et_bin_nsbh_upmetr.C.  void Lorene::Etoile_bin::update_metric_der_comp ( const Etoile_bin & comp )  [inherited] Computes the derivative of metric functions related to the companion star. The calculation is performed starting from the quantities comp.d_logn_auto , comp.d_beta_auto , comp.tkij_auto which are supposed to be up to date. From these, the following fields are updated: d_logn_comp , d_beta_comp , tkij_comp , akcar_comp . Parameters:  comp companion star. Definition at line 87 of file et_bin_upmetr_der.C.  void Lorene::Et_bin_nsbh::update_metric_der_comp ( const Bhole & comp ) Computes the derivative of metric functions related to the companion black hole. Parameters:  comp companion BH. Definition at line 74 of file et_bin_nsbh_upmetr_der.C.  double Lorene::Etoile_bin::velocity_potential ( int mermax, double precis, double relax )  [inherited] Computes the non-translational part of the velocity scalar potential by solving the continuity equation. Parameters:  mermax [input] Maximum number of steps in the iteration precis [input] Required precision: the iteration will be stopped when the relative difference on between two successive steps is lower than precis . relax [input] Relaxation factor. Returns: Relative error of the resolution obtained by comparing the operator acting on the solution with the source. Definition at line 145 of file et_bin_vel_pot.C.  double Lorene::Etoile_bin::xa_barycenter ( ) const [virtual, inherited] Absolute coordinate X of the barycenter of the baryon density, defined according to the formula where is the Lorentz factor between the fluid and Eulerian observers. Definition at line 173 of file et_bin_global.C.  const Tbl & Lorene::Etoile::xi_surf ( ) const [inherited] Description of the stellar surface: returns a 2-D Tbl containing the values of the radial coordinate on the surface at the collocation points in . The stellar surface is defined as the location where the enthalpy (member ent ) vanishes. Definition at line 104 of file etoile_global.C. ## Friends And Related Function Documentation  friend class Bin_ns_bh [friend] Friend class Bin_ns_bh. Reimplemented from Lorene::Etoile_bin. Definition at line 404 of file et_bin_nsbh.h.  ostream& operator<< ( ostream & , const Etoile & )  [friend, inherited] Display. ## Member Data Documentation  Tenseur Lorene::Etoile::a_car [protected, inherited] Total conformal factor . Definition at line 515 of file etoile.h.  Tenseur Lorene::Etoile_bin::akcar_auto [protected, inherited] Part of the scalar generated by shift_auto , i.e. Definition at line 938 of file etoile.h.  Tenseur Lorene::Etoile_bin::akcar_comp [protected, inherited] Part of the scalar generated by shift_auto and shift_comp , i.e. Definition at line 944 of file etoile.h.  Tenseur Lorene::Etoile::beta_auto [protected, inherited] Logarithm of the part of the product AN generated principaly by by the star. Definition at line 506 of file etoile.h.  Tenseur Lorene::Etoile_bin::beta_comp [protected, inherited] Part of the logarithm of AN generated principaly by the companion star. Definition at line 874 of file etoile.h.  Tenseur Lorene::Etoile_bin::bsn [protected, inherited] 3-vector shift, divided by N , of the rotating coordinates, . (Cartesian components with respect to ref_triad ) Definition at line 950 of file etoile.h.  Tenseur Lorene::Et_bin_nsbh::confpsi [protected] Total conformal factor$$.

Definition at line 101 of file et_bin_nsbh.h.

 Tenseur Lorene::Et_bin_nsbh::confpsi_auto [protected]

Part of the conformal factor $$generated principaly by the star. Definition at line 104 of file et_bin_nsbh.h.  Tenseur Lorene::Et_bin_nsbh::confpsi_comp [protected] Part of the conformal factor$$ generated principaly by the companion star.

Definition at line 109 of file et_bin_nsbh.h.

 Tenseur Lorene::Etoile_bin::d_beta_auto [protected, inherited]

Gradient of beta_auto (Cartesian components with respect to ref_triad ).

Definition at line 879 of file etoile.h.

 Tenseur Lorene::Etoile_bin::d_beta_comp [protected, inherited]

Gradient of beta_comp (Cartesian components with respect to ref_triad ).

Definition at line 884 of file etoile.h.

 Tenseur Lorene::Et_bin_nsbh::d_confpsi_auto [protected]

Gradient of { confpsi} (Cartesian components with respect to { ref}).

Definition at line 114 of file et_bin_nsbh.h.

 Tenseur Lorene::Et_bin_nsbh::d_confpsi_comp [protected]

Gradient of { confpsi} (Cartesian components with respect to { ref}).

Definition at line 119 of file et_bin_nsbh.h.

 Tenseur Lorene::Etoile_bin::d_logn_auto [protected, inherited]

Gradient of logn_auto (Cartesian components with respect to ref_triad ).

Definition at line 859 of file etoile.h.

 Tenseur Lorene::Etoile::d_logn_auto_div [protected, inherited]

Gradient of logn_auto_div (if k_div!=0 ).

Definition at line 501 of file etoile.h.

 Tenseur Lorene::Etoile_bin::d_logn_auto_regu [protected, inherited]

Gradient of logn_auto_regu (Cartesian components with respect to ref_triad ).

Definition at line 864 of file etoile.h.

 Tenseur Lorene::Etoile_bin::d_logn_comp [protected, inherited]

Gradient of logn_comp (Cartesian components with respect to ref_triad ).

Definition at line 869 of file etoile.h.

 Tenseur Lorene::Et_bin_nsbh::d_n_auto [protected]

Gradient of { n} (Cartesian components with respect to { ref}).

Definition at line 93 of file et_bin_nsbh.h.

 Tenseur Lorene::Et_bin_nsbh::d_n_comp [protected]

Gradient of { n} (Cartesian components with respect to { ref}).

Definition at line 98 of file et_bin_nsbh.h.

 Tenseur Lorene::Etoile_bin::d_psi [protected, inherited]

Gradient of (in the irrotational case) (Cartesian components with respect to ref_triad ).

Definition at line 838 of file etoile.h.

 Cmp Lorene::Etoile_bin::decouple [protected, inherited]

Function used to construct the part of generated by the star from the total .

Only used for a binary system where the other member is a black hole.

Mainly this Cmp is 1 around the hole and 0 around the companion and the sum of decouple for the hole and his companion is 1 everywhere.

Definition at line 1000 of file etoile.h.

 Tenseur Lorene::Etoile::ener [protected, inherited]

Total energy density in the fluid frame.

Definition at line 460 of file etoile.h.

 Tenseur Lorene::Etoile::ener_euler [protected, inherited]

Total energy density in the Eulerian frame.

Definition at line 465 of file etoile.h.

 Tenseur Lorene::Etoile::ent [protected, inherited]

Log-enthalpy (relativistic case) or specific enthalpy (Newtonian case).

Definition at line 457 of file etoile.h.

 const Eos& Lorene::Etoile::eos [protected, inherited]

Equation of state of the stellar matter.

Reimplemented in Lorene::Et_rot_bifluid.

Definition at line 451 of file etoile.h.

 Tenseur Lorene::Etoile::gam_euler [protected, inherited]

Lorentz factor between the fluid and Eulerian observers.

Definition at line 471 of file etoile.h.

 bool Lorene::Etoile_bin::irrotational [protected, inherited]

true for an irrotational star, false for a corotating one

Definition at line 822 of file etoile.h.

 int Lorene::Etoile::k_div [protected, inherited]

Index of regularity of the gravitational potential logn_auto .

If k_div=0 , logn_auto contains the total potential generated principaly by the star, otherwise it should be supplemented by logn_auto_div .

Definition at line 449 of file etoile.h.

 Tenseur Lorene::Etoile_bin::khi_shift [protected, inherited]

Scalar used in the decomposition of shift_auto , following Shibata's prescription [Prog.

Theor. Phys. 101 , 1199 (1999)] :

Definition at line 918 of file etoile.h.

 Tenseur Lorene::Etoile_bin::loggam [protected, inherited]

Logarithm of the Lorentz factor between the fluid and the co-orbiting observer.

Definition at line 849 of file etoile.h.

 Tenseur Lorene::Etoile::logn_auto [protected, inherited]

Total of the logarithm of the part of the lapse N generated principaly by the star.

In the Newtonian case, this is the Newtonian gravitational potential (in units of ).

Definition at line 484 of file etoile.h.

 Tenseur Lorene::Etoile::logn_auto_div [protected, inherited]

Divergent part (if k_div!=0 ) of the logarithm of the part of the lapse N generated principaly by the star.

Definition at line 497 of file etoile.h.

 Tenseur Lorene::Etoile::logn_auto_regu [protected, inherited]

Regular part of the logarithm of the part of the lapse N generated principaly by the star.

In the Newtonian case, this is the Newtonian gravitational potential (in units of ).

Definition at line 491 of file etoile.h.

 Tenseur Lorene::Etoile_bin::logn_comp [protected, inherited]

Part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principaly by the companion star.

Definition at line 854 of file etoile.h.

 Map& Lorene::Etoile::mp [protected, inherited]

Mapping associated with the star.

Definition at line 429 of file etoile.h.

 Tenseur Lorene::Et_bin_nsbh::n_auto [protected]

Part of the lapse { N} generated principaly by the star.

Definition at line 85 of file et_bin_nsbh.h.

 Tenseur Lorene::Et_bin_nsbh::n_comp [protected]

Part of the lapse { N} generated principaly by the companion star.

Definition at line 88 of file et_bin_nsbh.h.

 Tenseur Lorene::Etoile::nbar [protected, inherited]

Baryon density in the fluid frame.

Definition at line 459 of file etoile.h.

 Tenseur Lorene::Etoile::nnn [protected, inherited]

Total lapse function.

Definition at line 509 of file etoile.h.

 int Lorene::Etoile::nzet [protected, inherited]

Number of domains of *mp occupied by the star.

Definition at line 432 of file etoile.h.

 Itbl* Lorene::Etoile::p_l_surf [mutable, protected, inherited]

Description of the stellar surface: 2-D Itbl containing the values of the domain index l on the surface at the collocation points in .

Definition at line 539 of file etoile.h.

 double* Lorene::Etoile::p_mass_b [mutable, protected, inherited]

Baryon mass.

Definition at line 547 of file etoile.h.

 double* Lorene::Etoile::p_mass_g [mutable, protected, inherited]

Gravitational mass.

Definition at line 548 of file etoile.h.

 double* Lorene::Etoile::p_ray_eq [mutable, protected, inherited]

Definition at line 521 of file etoile.h.

 double* Lorene::Etoile::p_ray_eq_3pis2 [mutable, protected, inherited]

Definition at line 530 of file etoile.h.

 double* Lorene::Etoile::p_ray_eq_pi [mutable, protected, inherited]

Definition at line 527 of file etoile.h.

 double* Lorene::Etoile::p_ray_eq_pis2 [mutable, protected, inherited]

Definition at line 524 of file etoile.h.

 double* Lorene::Etoile::p_ray_pole [mutable, protected, inherited]

Definition at line 533 of file etoile.h.

 double* Lorene::Etoile_bin::p_xa_barycenter [mutable, protected, inherited]

Absolute coordinate X of the barycenter of the baryon density.

Definition at line 1006 of file etoile.h.

 Tbl* Lorene::Etoile::p_xi_surf [mutable, protected, inherited]

Description of the stellar surface: 2-D Tbl containing the values of the radial coordinate on the surface at the collocation points in .

Definition at line 545 of file etoile.h.

 Tenseur Lorene::Etoile_bin::pot_centri [protected, inherited]

Centrifugal potential.

Definition at line 953 of file etoile.h.

 Tenseur Lorene::Etoile::press [protected, inherited]

Fluid pressure.

Definition at line 461 of file etoile.h.

 Tenseur Lorene::Etoile_bin::psi0 [protected, inherited]

Scalar potential of the non-translational part of fluid 4-velocity (in the irrotational case).

Definition at line 833 of file etoile.h.

 const Base_vect& Lorene::Etoile_bin::ref_triad [protected, inherited]

Reference triad ("absolute frame"), with respect to which the components of all the member Tenseur 's are defined, except for w_shift and ssjm1_wshift .

Definition at line 828 of file etoile.h.

 bool Lorene::Etoile::relativistic [protected, inherited]

Indicator of relativity: true for a relativistic star, false for a Newtonian one.

Definition at line 437 of file etoile.h.

 Tenseur Lorene::Etoile::s_euler [protected, inherited]

Trace of the stress tensor in the Eulerian frame.

Definition at line 468 of file etoile.h.

 Tenseur Lorene::Etoile::shift [protected, inherited]

Total shift vector.

Definition at line 512 of file etoile.h.

 Tenseur Lorene::Etoile_bin::shift_auto [protected, inherited]

Part of the shift vector generated principaly by the star.

(Cartesian components with respect to ref_triad )

Definition at line 889 of file etoile.h.

 Tenseur Lorene::Etoile_bin::shift_comp [protected, inherited]

Part of the shift vector generated principaly by the companion star.

(Cartesian components with respect to ref_triad )

Definition at line 895 of file etoile.h.

 Cmp Lorene::Etoile_bin::ssjm1_beta [protected, inherited]

Effective source at the previous step for the resolution of the Poisson equation for beta_auto by means of Map_et::poisson .

Definition at line 965 of file etoile.h.

 Cmp Lorene::Et_bin_nsbh::ssjm1_confpsi [protected]

Effective source at the previous step for the resolution of the Poisson equation for { confpsi} by means of { Mappoisson}.

Definition at line 164 of file et_bin_nsbh.h.

 Cmp Lorene::Etoile_bin::ssjm1_khi [protected, inherited]

Effective source at the previous step for the resolution of the Poisson equation for the scalar by means of Map_et::poisson .

is an intermediate quantity for the resolution of the elliptic equation for the shift vector

Definition at line 973 of file etoile.h.

 Cmp Lorene::Et_bin_nsbh::ssjm1_lapse [protected]

Effective source at the previous step for the resolution of the Poisson equation for { n} by means of { Mappoisson}.

Definition at line 158 of file et_bin_nsbh.h.

 Cmp Lorene::Etoile_bin::ssjm1_logn [protected, inherited]

Effective source at the previous step for the resolution of the Poisson equation for logn_auto by means of Map_et::poisson .

Definition at line 959 of file etoile.h.

 Cmp Lorene::Etoile_bin::ssjm1_psi [protected, inherited]

Effective source at the previous step for the resolution of the Poisson equation for the scalar by means of Map_et::poisson_interne .

Definition at line 989 of file etoile.h.

 Tenseur Lorene::Etoile_bin::ssjm1_wshift [protected, inherited]

Effective source at the previous step for the resolution of the vector Poisson equation for by means of Map_et::poisson .

is an intermediate quantity for the resolution of the elliptic equation for the shift vector (Components with respect to the Cartesian triad associated with the mapping mp )

Definition at line 983 of file etoile.h.

 Tenseur_sym Lorene::Et_bin_nsbh::taij_auto [protected]

Part of the extrinsic curvature tensor $A^{ij} = 2 N K^{ij}$ generated by { shift}.

(Cartesian components with respect to { ref})

Definition at line 126 of file et_bin_nsbh.h.

 Tenseur_sym Lorene::Et_bin_nsbh::taij_comp [protected]

Part of the extrinsic curvature tensor $A^{ij} = 2 N K^{ij}$ generated by { shift}.

(Cartesian components with respect to { ref})

Definition at line 133 of file et_bin_nsbh.h.

 Tenseur_sym Lorene::Et_bin_nsbh::taij_tot [protected]

Total extrinsic curvature tensor $A^{ij} = 2 N K^{ij}$ generated by { shift} and { shift}.

(Cartesian components with respect to { ref})

Definition at line 140 of file et_bin_nsbh.h.

 Tenseur_sym Lorene::Et_bin_nsbh::tkij_auto [protected]

Part of the extrinsic curvature tensor $K^{ij}$ generated by { shift}.

(Cartesian components with respect to { ref})

Reimplemented from Lorene::Etoile_bin.

Definition at line 146 of file et_bin_nsbh.h.

 Tenseur_sym Lorene::Etoile_bin::tkij_comp [protected, inherited]

Part of the extrinsic curvature tensor generated by shift_comp .

(Cartesian components with respect to ref_triad )

Definition at line 932 of file etoile.h.

 Tenseur_sym Lorene::Et_bin_nsbh::tkij_tot [protected]

Total extrinsic curvature tensor $K^{ij}$ generated by { shift} and { shift}.

(Cartesian components with respect to { ref})

Definition at line 152 of file et_bin_nsbh.h.

 Tenseur Lorene::Etoile::u_euler [protected, inherited]

Fluid 3-velocity with respect to the Eulerian observer.

Definition at line 474 of file etoile.h.

 double Lorene::Etoile::unsurc2 [protected, inherited]

: unsurc2=1 for a relativistic star, 0 for a Newtonian one.

Definition at line 442 of file etoile.h.

 Tenseur Lorene::Etoile_bin::w_shift [protected, inherited]

Vector used in the decomposition of shift_auto , following Shibata's prescription [Prog.

Theor. Phys. 101, 1199 (1999)] :

NB: w_shift contains the components of with respect to the Cartesian triad associated with the mapping mp .

Definition at line 908 of file etoile.h.

 Tenseur Lorene::Etoile_bin::wit_w [protected, inherited]

Spatial projection of the fluid 3-velocity with respect to the co-orbiting observer.

(Cartesian components with respect to ref_triad )

Definition at line 844 of file etoile.h.

The documentation for this class was generated from the following files:

Generated on 7 Dec 2019 for LORENE by  1.6.1