Class for stars in binary system in eXtended Conformal Thin Sandwich formulation. More...

#include <star.h>

Inheritance diagram for Lorene::Star_bin_xcts:

Public Member Functions
	Star_bin_xcts (Map &mp_i, int nzet_i, const Eos &eos_i, bool irrot)
	Standard constructor. More...

	Star_bin_xcts (const Star_bin_xcts &)
	Copy constructor. More...

	Star_bin_xcts (Map &mp_i, const Eos &eos_i, FILE *fich)
	Constructor from a file (see `sauve(FILE* )`). More...

virtual	~Star_bin_xcts ()
	Destructor. More...

void	operator= (const Star_bin_xcts &)
	Assignment to another `Star_bin_xcts`. More...

Scalar &	set_pot_centri ()
	Read/write the centrifugal potential. More...

Scalar &	set_Psi_auto ()
	Read/write the conformal factor $\Psi_{auto}$ . More...

Scalar &	set_Psi_comp ()
	Read/write the conformal factor $\Psi_{comp}$ . More...

Scalar &	set_chi_auto ()
	Read/write the conformal factor $\chi_{auto}$ . More...

Scalar &	set_chi_comp ()
	Read/write the conformal factor $\chi_{comp}$ . More...

Vector &	set_beta_auto ()
	Read/write of $\beta_{auto}$ . More...

Vector &	set_beta ()
	Read/write of $\beta$ . More...

bool	is_irrotational () const
	Returns `true` for an irrotational motion, `false` for a corotating one. More...

const Scalar &	get_psi0 () const
	Returns the non-translational part of the velocity potential. More...

const Vector &	get_d_psi () const
	Returns the covariant derivative of the velocity potential (Spherical components with respect to the mapping of the star) More...

const Vector &	get_wit_w () const
	Returns the spatial projection of the fluid 3-velocity with respect to the co-orbiting observer. More...

const Scalar &	get_loggam () const
	Returns the logarithm of the Lorentz factor between the fluid and the co-orbiting observer. More...

const Vector &	get_bsn () const
	Returns the shift vector, divided by N, of the rotating coordinates, $\beta^i/N$ . More...

const Scalar &	get_pot_centri () const
	Returns the centrifugal potential. More...

const Vector &	get_beta_auto () const
	Returns the part of the shift vector $\beta^i$ generated principally by the star ( $\beta^i_{auto}$ ). More...

const Vector &	get_beta_comp () const
	Returns the part of the shift vector $\beta^i$ generated principally by the companion ( $\beta^i_{comp}$ ). More...

const Scalar &	get_Psi_auto () const
	Returns the scalar field $\Psi_{auto}$ generated principally by the star. More...

const Scalar &	get_Psi_comp () const
	Returns the scalar field $\Psi_{comp}$ generated principally by the companion star. More...

const Scalar &	get_chi_auto () const
	Returns the scalar field $\chi_{auto} = (N\Psi)_{auto}$ generated principally by the star. More...

const Scalar &	get_chi_comp () const
	Returns the scalar field $\chi_{comp} = (N\Psi)_{comp}$ generated principally by the companion star. More...

const Vector &	get_dcov_chi () const
	Returns the covariant derivative of $\chi$ . More...

const Vector &	get_dcov_Psi () const
	Returns the covariant derivative of the conformal factor $\Psi$ . More...

const Scalar &	get_Psi () const
	Return the conformal factor $\Psi$ . More...

const Scalar &	get_chi () const
	Return the function $\chi$ . More...

const Scalar &	get_psi4 () const
	Return the conformal factor $\Psi^4$ . More...

const Metric &	get_flat () const
	Return the flat metric defined on the mapping (Spherical components with respect to the mapping of the star) More...

const Sym_tensor &	get_haij_auto () const
	Returns the part of the extrinsic curvature tensor $\hat{A}^{ij}$ generated by `beta_auto`. More...

const Sym_tensor &	get_haij_comp () const
	Returns the part of the extrinsic curvature tensor $\hat{A}^{ij}$ generated by `beta_comp`. More...

const Scalar &	get_hacar_auto () const
	Returns the part of $\hat{A}^{ij}\hat{A}_{ij}$ generated by `beta_auto`. More...

const Scalar &	get_hacar_comp () const
	Returns the part of $\hat{A}^{ij}\hat{A}_{ij}$ generated by `beta_comp`. More...

virtual void	sauve (FILE *) const
	Save in a file. More...

virtual double	mass_b () const
	Baryon mass. More...

virtual double	mass_g () const
	Gravitational mass. More...

virtual double	xa_barycenter () const
	Absolute coordinate X of the barycenter of the baryon density,. More...

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`. More...

void	update_metric (const Star_bin_xcts &comp)
	Computes metric coefficients from known potentials, when the companion is another star. More...

void	update_metric (const Star_bin_xcts &comp, const Star_bin_xcts &star_prev, double relax)
	Same as `update_metric`(const Star_bin_xcts& ) but with relaxation. More...

void	update_metric_der_comp (const Star_bin_xcts &comp)
	Computes the derivative of metric functions related to the companion star. More...

void	kinematics (double omega, double x_axe)
	Computes the quantities `bsn` and `pot_centri`. More...

void	fait_d_psi ()
	Computes the gradient of the total velocity potential $\psi$ . More...

void	extrinsic_curvature ()
	Computes `haij_auto` and `hacar_auto` from `beta_auto`, `nn` and `Psi` . More...

void	equilibrium (double ent_c, int mermax, int mermax_potvit, int mermax_poisson, double relax_poisson, double relax_potvit, double thres_adapt, const Tbl &fact, const Tbl *pent_limit, Tbl &diff)
	Computes an equilibrium configuration. More...

double	velocity_potential (int mermax, double precis, double relax)
	Computes the non-translational part of the velocity scalar potential $\psi0$ by solving the continuity equation. More...

void	relaxation (const Star_bin_xcts &star_prev, double relax_ent, double relax_met, int mer, int fmer_met)
	Performs a relaxation on `ent`, `Psi_auto`, `chi_auto` and `beta_auto`. More...

Map &	set_mp ()
	Read/write of the mapping. More...

void	set_enthalpy (const Scalar &)
	Assignment of the enthalpy field. More...

void	equation_of_state ()
	Computes the proper baryon and energy density, as well as pressure from the enthalpy. More...

virtual void	equilibrium_spher (double ent_c, double precis=1.e-14, const Tbl *pent_limit=0x0)
	Computes a spherical static configuration. More...

const Map &	get_mp () const
	Returns the mapping. More...

int	get_nzet () const
	Returns the number of domains occupied by the star. More...

const Eos &	get_eos () const
	Returns the equation of state. More...

const Scalar &	get_ent () const
	Returns the enthalpy field. More...

const Scalar &	get_nbar () const
	Returns the proper baryon density. More...

const Scalar &	get_ener () const
	Returns the proper total energy density. More...

const Scalar &	get_press () const
	Returns the fluid pressure. More...

const Scalar &	get_ener_euler () const
	Returns the total energy density with respect to the Eulerian observer. More...

const Scalar &	get_s_euler () const
	Returns the trace of the stress tensor in the Eulerian frame. More...

const Scalar &	get_gam_euler () const
	Returns the Lorentz factor between the fluid and Eulerian observers. More...

const Vector &	get_u_euler () const
	Returns the fluid 3-velocity with respect to the Eulerian observer. More...

const Tensor &	get_stress_euler () const
	Returns the spatial part of the stress-energy tensor with respect to the Eulerian observer. More...

const Scalar &	get_logn () const
	Returns the logarithm of the lapse N. More...

const Scalar &	get_nn () const
	Returns the lapse function N. More...

const Vector &	get_beta () const
	Returns the shift vector $\beta^i$ . More...

const Scalar &	get_lnq () const

const Metric &	get_gamma () const
	Returns the 3-metric $\gamma$ . More...

double	ray_eq () const
	Coordinate radius at $\phi=0$ , $\theta=\pi/2$ [r_unit]. More...

double	ray_eq_pis2 () const
	Coordinate radius at $\phi=\pi/2$ , $\theta=\pi/2$ [r_unit]. More...

double	ray_eq_pi () const
	Coordinate radius at $\phi=\pi$ , $\theta=\pi/2$ [r_unit]. More...

double	ray_eq_3pis2 () const
	Coordinate radius at $\phi=3\pi/2$ , $\theta=\pi/2$ [r_unit]. More...

double	ray_pole () const
	Coordinate radius at $\theta=0$ [r_unit]. More...

virtual const Itbl &	l_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 $(\theta', \phi')$ . More...

const Tbl &	xi_surf () const
	Description of the stellar surface: returns a 2-D `Tbl` containing the values of the radial coordinate $\xi$ on the surface at the collocation points in $(\theta', \phi')$ . More...

Protected Member Functions
virtual void	del_deriv () const
	Deletes all the derived quantities. More...

virtual void	set_der_0x0 () const
	Sets to `0x0` all the pointers on derived quantities. More...

virtual void	del_hydro_euler ()
	Sets to `ETATNONDEF` (undefined state) the hydrodynamical quantities relative to the Eulerian observer. More...

virtual ostream &	operator>> (ostream &) const
	Operator >> (virtual function called by the operator <<). More...

Protected Attributes
bool	irrotational
	`true` for an irrotational star, `false` for a corotating one More...

Scalar	psi0
	Scalar potential $\Psi_0$ of the non-translational part of fluid 4-velocity (in the irrotational case) More...

Vector	d_psi
	Gradient of $\Psi$ (in the irrotational case) (Spherical components with respect to the mapping of the star) More...

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

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

Vector	bsn
	3-vector shift, divided by N, of the rotating coordinates, $\beta^i/N$ . More...

Scalar	pot_centri
	Centrifugal potential. More...

Scalar	chi_auto
	Scalar field $\chi_{auto} = (N\Psi)_{auto}$ generated principally by the star. More...

Scalar	chi_comp
	Scalar field $\chi_{comp} = (N\Psi)_{comp}$ generated principally by the companion star. More...

Scalar	Psi_auto
	Scalar field $\Psi_{auto}$ generated principally by the star. More...

Scalar	Psi_comp
	Scalar field $\Psi_{comp}$ generated principally by the companion star. More...

Scalar	Psi
	Total conformal factor $\Psi$ . More...

Scalar	chi
	Total function $\chi$ . More...

Scalar	psi4
	Conformal factor $\psi^4$ . More...

Vector	w_beta
	Solution for the vector part of the vector Poisson equation for $\beta^i$ . More...

Scalar	khi
	Solution for the scalar part of the vector Poisson equation for $\beta^i$ . More...

Vector	dcov_Psi
	Covariant derivative of the conformal factor $\Psi$ . More...

Vector	dcov_chi
	Covariant derivative of the function $\chi$ . More...

Metric_flat	flat
	Flat metric defined on the mapping (Spherical components with respect to the mapping of the star) . More...

Vector	beta_auto
	Part of the shift vector generated principally by the star (Spherical components with respect to the mapping of the star) More...

Vector	beta_comp
	Part of the shift vector generated principally by the star (Spherical components with respect to the mapping of the star) More...

Sym_tensor	haij_auto
	Part of the extrinsic curvature tensor $\hat{A}^{ij}$ generated by `beta_auto`. More...

Sym_tensor	haij_comp
	Part of the extrinsic curvature tensor $\hat{A}^{ij}$ generated by `beta_comp`. More...

Scalar	hacar_auto
	Part of the scalar $\hat{A}_{ij}\hat{A}^{ij}$ generated by `beta_auto`, i.e. More...

Scalar	hacar_comp
	Part of the scalar $\hat{A}_{ij}\hat{A}^{ij}$ generated by `beta_auto` and `beta_comp`, i.e. More...

Scalar	ssjm1_chi
	Effective source at the previous step for the resolution of the Poisson equation for . More...

Scalar	ssjm1_psi
	Effective source at the previous step for the resolution of the Poisson equation for . More...

Scalar	ssjm1_khi
	Effective source at the previous step for the resolution of the Poisson equation for `khi`. More...

Vector	ssjm1_wbeta
	Effective source at the previous step for wbeta of the vector Poisson equation for `wbeta` (needed for the solution of the vector Poisson equation for the shift $\beta^i$ ) More...

double *	p_xa_barycenter
	Absolute coordinate X of the barycenter of the baryon density. More...

Map &	mp
	Mapping associated with the star. More...

int	nzet
	Number of domains of `*mp` occupied by the star. More...

const Eos &	eos
	Equation of state of the stellar matter. More...

Scalar	ent
	Log-enthalpy. More...

Scalar	nbar
	Baryon density in the fluid frame. More...

Scalar	ener
	Total energy density in the fluid frame. More...

Scalar	press
	Fluid pressure. More...

Scalar	ener_euler
	Total energy density in the Eulerian frame. More...

Scalar	s_euler
	Trace of the stress scalar in the Eulerian frame. More...

Scalar	gam_euler
	Lorentz factor between the fluid and Eulerian observers. More...

Vector	u_euler
	Fluid 3-velocity with respect to the Eulerian observer. More...

Sym_tensor	stress_euler
	Spatial part of the stress-energy tensor with respect to the Eulerian observer. More...

Scalar	logn
	Logarithm of the lapse N . More...

Scalar	nn
	Lapse function N . More...

Vector	beta
	Shift vector. More...

Scalar	lnq

Metric	gamma
	3-metric More...

double *	p_ray_eq
	Coordinate radius at $\phi=0$ , $\theta=\pi/2$ . More...

double *	p_ray_eq_pis2
	Coordinate radius at $\phi=\pi/2$ , $\theta=\pi/2$ . More...

double *	p_ray_eq_pi
	Coordinate radius at $\phi=\pi$ , $\theta=\pi/2$ . More...

double *	p_ray_eq_3pis2
	Coordinate radius at $\phi=3\pi/2$ , $\theta=\pi/2$ . More...

double *	p_ray_pole
	Coordinate radius at $\theta=0$ . More...

Itbl *	p_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 $(\theta', \phi')$ . More...

Tbl *	p_xi_surf
	Description of the stellar surface: 2-D `Tbl` containing the values of the radial coordinate $\xi$ on the surface at the collocation points in $(\theta', \phi')$ . More...

double *	p_mass_b
	Baryon mass. More...

double *	p_mass_g
	Gravitational mass. More...

Friends
class	Binary_xcts

Detailed Description

Class for stars in binary system in eXtended Conformal Thin Sandwich formulation.

*** UNDER DEEVELOPMENT ***()

A Star_bin_xcts can be construted in two states, represented by the bool member irrotational: (i) irrotational (i.e. the fluid motion is irrotational) or (ii) rigidly corotating with respect to the orbital motion (synchronized binary).

Definition at line 1091 of file star.h.

Constructor & Destructor Documentation

◆ Star_bin_xcts() [1/3]

Lorene::Star_bin_xcts::Star_bin_xcts	(	Map &	mp_i,
		int	nzet_i,
		const Eos &	eos_i,
		bool	irrot
	)

Standard constructor.

Parameters

mp_i	Mapping on which the star will be defined
nzet_i	Number of domains occupied by the star
eos_i	Equation of state of the stellar matter
irrot	should be `true` for an irrotational star, `false` for a corotating one

Definition at line 84 of file star_bin_xcts.C.

References Lorene::Star::beta, beta_auto, beta_comp, bsn, Lorene::Vector::change_triad(), Lorene::Tensor::change_triad(), chi, chi_auto, chi_comp, d_psi, dcov_chi, dcov_Psi, Lorene::Map::flat_met_cart(), Lorene::Star::gamma, Lorene::Map::get_bvect_cart(), hacar_auto, hacar_comp, haij_auto, haij_comp, khi, loggam, Lorene::Star::mp, pot_centri, Psi, psi0, Psi_auto, Psi_comp, set_der_0x0(), Lorene::Tensor::set_etat_zero(), ssjm1_chi, ssjm1_khi, ssjm1_psi, ssjm1_wbeta, Lorene::Star::stress_euler, Lorene::Star::u_euler, w_beta, and wit_w.

◆ Star_bin_xcts() [2/3]

Lorene::Star_bin_xcts::Star_bin_xcts ( const Star_bin_xcts & star )

Copy constructor.

Definition at line 168 of file star_bin_xcts.C.

References set_der_0x0().

◆ Star_bin_xcts() [3/3]

Lorene::Star_bin_xcts::Star_bin_xcts	(	Map &	mp_i,
		const Eos &	eos_i,
		FILE *	fich
	)

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
fich	input file (must have been created by the function `sauve`)

Definition at line 206 of file star_bin_xcts.C.

References Lorene::Star::beta, beta_comp, bsn, Lorene::Vector::change_triad(), Lorene::Tensor::change_triad(), chi_comp, d_psi, dcov_chi, dcov_Psi, Lorene::Map::flat_met_cart(), Lorene::Star::gam_euler, Lorene::Star::gamma, Lorene::Map::get_bvect_cart(), Lorene::Map::get_mg(), hacar_auto, hacar_comp, haij_auto, haij_comp, irrotational, khi, loggam, Lorene::Star::mp, pot_centri, psi0, Psi_comp, set_der_0x0(), Lorene::Tensor::set_etat_zero(), Lorene::Star::stress_euler, Lorene::Star::u_euler, w_beta, and wit_w.

◆ ~Star_bin_xcts()

Lorene::Star_bin_xcts::~Star_bin_xcts ( )

virtual

Destructor.

Definition at line 297 of file star_bin_xcts.C.

References del_deriv().

Member Function Documentation

◆ del_deriv()

void Lorene::Star_bin_xcts::del_deriv ( ) const

protectedvirtual

Deletes all the derived quantities.

Reimplemented from Lorene::Star.

Definition at line 307 of file star_bin_xcts.C.

References Lorene::Star::del_deriv(), p_xa_barycenter, and set_der_0x0().

◆ del_hydro_euler()

void Lorene::Star_bin_xcts::del_hydro_euler ( )

protectedvirtual

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

Reimplemented from Lorene::Star.

Definition at line 324 of file star_bin_xcts.C.

References del_deriv(), and Lorene::Star::del_hydro_euler().

◆ equation_of_state()

void Lorene::Star::equation_of_state ( )

inherited

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

Definition at line 465 of file star.C.

References Lorene::Param::add_int(), Lorene::Scalar::allocate_all(), Lorene::Star::del_deriv(), Lorene::Star::ener, Lorene::Eos::ener_ent(), Lorene::Star::ent, Lorene::Star::eos, Lorene::Mg3d::get_grille3d(), Lorene::Map::get_mg(), Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nr(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_nzone(), Lorene::Star::mp, Lorene::Star::nbar, Lorene::Eos::nbar_ent(), Lorene::Star::nzet, Lorene::Star::press, Lorene::Eos::press_ent(), Lorene::Mtbl::set(), Lorene::Scalar::set_domain(), Lorene::Mtbl::set_etat_qcq(), Lorene::Tbl::set_etat_qcq(), Lorene::Scalar::set_etat_qcq(), Lorene::Scalar::std_spectral_base(), Lorene::Mtbl::t, and Lorene::Grille3d::x.

◆ equilibrium()

void Lorene::Star_bin_xcts::equilibrium	(	double	ent_c,
		int	mermax,
		int	mermax_potvit,
		int	mermax_poisson,
		double	relax_poisson,
		double	relax_potvit,
		double	thres_adapt,
		const Tbl &	fact,
		const Tbl *	pent_limit,
		Tbl &	diff
	)

Computes an equilibrium configuration.

Parameters

ent_c	[input] Central enthalpy
mermax	[input] Maximum number of steps
mermax_poisson	[input] Maximum number of steps in poisson scalar
relax_poisson	[input] Relaxation factor in poisson scalar
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
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.
diff	[output] 1-D `Tbl` for the storage of some error indicators

Definition at line 94 of file star_bin_equilibrium_xcts.C.

References Lorene::abs(), Lorene::Map::adapt(), Lorene::Param::add_cmp_mod(), Lorene::Param::add_double(), Lorene::Param::add_int(), Lorene::Param::add_int_mod(), Lorene::Param::add_tbl(), Lorene::Param::add_tenseur_mod(), beta_auto, chi, chi_auto, chi_comp, Lorene::contract(), dcov_chi, dcov_Psi, Lorene::Tensor::dec_dzpuis(), Lorene::Tensor::derive_con(), Lorene::Scalar::derive_con(), Lorene::diffrel(), Lorene::Vector::divergence(), Lorene::Scalar::dsdr(), Lorene::Star::ener_euler, Lorene::Star::ent, Lorene::Star::equation_of_state(), flat, Lorene::Map::get_bvect_cart(), Lorene::Map::get_mg(), Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nr(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_nzone(), hacar_auto, hacar_comp, haij_auto, Lorene::Map_et::homothetie(), hydro_euler(), irrotational, khi, Lorene::Scalar::laplacian(), Lorene::log(), loggam, Lorene::max(), Lorene::Star::mp, Lorene::Star::nn, Lorene::norme(), Lorene::Star::nzet, Lorene::Scalar::poisson(), pot_centri, Lorene::pow(), Lorene::Star::press, Psi, psi4, Psi_auto, Psi_comp, Lorene::Star::ray_eq(), Lorene::Star::ray_pole(), Lorene::Map::reevaluate_symy(), Lorene::Map::resize(), Lorene::Star::s_euler, Lorene::Tbl::set(), Lorene::Vector::set(), Lorene::Tenseur::set(), Lorene::Tbl::set_etat_qcq(), Lorene::Tenseur::set_etat_qcq(), Lorene::Scalar::set_spectral_va(), Lorene::Tenseur::set_std_base(), Lorene::Valeur::smooth(), Lorene::sqrt(), ssjm1_chi, ssjm1_khi, ssjm1_psi, ssjm1_wbeta, Lorene::Scalar::std_spectral_base(), Lorene::Star::u_euler, Lorene::Scalar::val_grid_point(), Lorene::Scalar::val_point(), Lorene::Map::val_r(), velocity_potential(), and w_beta.

◆ equilibrium_spher()

void Lorene::Star::equilibrium_spher	(	double	ent_c,
		double	precis = `1.e-14`,
		const Tbl *	pent_limit = `0x0`
	)

virtualinherited

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 101 of file star_equil_spher.C.

References Lorene::Star_rot::a_car, Lorene::Map_et::adapt(), Lorene::Param::add_double(), Lorene::Param::add_int(), Lorene::Param::add_int_mod(), Lorene::Param::add_tbl(), Lorene::Scalar::annule(), Lorene::Star_rot::b_car, Lorene::Star_rot::bbb, Lorene::diffrel(), Lorene::Scalar::dsdr(), Lorene::Map_af::dsdr(), Lorene::Star_rot::dzeta, Lorene::Star::ener, Lorene::Star::ener_euler, Lorene::Star::ent, Lorene::Star::equation_of_state(), Lorene::exp(), Lorene::Star::gam_euler, Lorene::Star::gamma, Lorene::Map_af::get_alpha(), Lorene::Map_et::get_alpha(), Lorene::Map_af::get_beta(), Lorene::Map_et::get_beta(), Lorene::Map::get_bvect_cart(), Lorene::Map::get_mg(), Lorene::Mg3d::get_nr(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_nzone(), Lorene::Map_af::homothetie(), Lorene::Scalar::integrale(), Lorene::Star::logn, Lorene::Star::mass_b(), Lorene::Star::mass_g(), Lorene::Star::mp, Lorene::Star::nn, Lorene::norme(), Lorene::Star::nzet, Lorene::Map_af::poisson(), Lorene::Star::press, Lorene::Star::s_euler, Lorene::Vector::set(), Lorene::Map_af::set_alpha(), Lorene::Map_af::set_beta(), Lorene::Scalar::set_dzpuis(), Lorene::Cmp::set_etat_qcq(), Lorene::Tensor::set_etat_zero(), Lorene::sqrt(), Lorene::Scalar::std_spectral_base(), Lorene::Star::u_euler, Lorene::Scalar::val_grid_point(), and Lorene::Map::val_r().

◆ extrinsic_curvature()

void Lorene::Star_bin_xcts::extrinsic_curvature ( )

Computes haij_auto and hacar_auto from beta_auto, nn and Psi .

Definition at line 58 of file star_bin_extr_curv_xcts.C.

References beta_auto, chi, Lorene::Metric_flat::con(), Lorene::contract(), del_deriv(), Lorene::Tensor::derive_con(), Lorene::Vector::divergence(), flat, hacar_auto, haij_auto, Lorene::pow(), Psi, Lorene::Tensor::set(), Lorene::Tensor::std_spectral_base(), and Lorene::Tensor::up_down().

◆ fait_d_psi()

void Lorene::Star_bin_xcts::fait_d_psi ( )

Computes the gradient of the total velocity potential $\psi$ .

Definition at line 634 of file star_bin_xcts.C.

References bsn, Lorene::Vector::change_triad(), d_psi, Lorene::Scalar::derive_cov(), Lorene::Star::ent, Lorene::exp(), flat, Lorene::Star::gam_euler, Lorene::Map::get_bvect_cart(), irrotational, Lorene::Star::mp, psi0, psi4, Lorene::Vector::set(), Lorene::Tensor::set_etat_nondef(), and Lorene::Vector::std_spectral_base().

◆ get_beta()

const Vector& Lorene::Star::get_beta ( ) const

inlineinherited

Returns the shift vector $\beta^i$ .

Definition at line 402 of file star.h.

References Lorene::Star::beta.

◆ get_beta_auto()

const Vector& Lorene::Star_bin_xcts::get_beta_auto ( ) const

inline

Returns the part of the shift vector $\beta^i$ generated principally by the star ( $\beta^i_{auto}$ ).

(Spherical components with respect to the mapping of the star)

Definition at line 1351 of file star.h.

References beta_auto.

◆ get_beta_comp()

const Vector& Lorene::Star_bin_xcts::get_beta_comp ( ) const

inline

Returns the part of the shift vector $\beta^i$ generated principally by the companion ( $\beta^i_{comp}$ ).

(Spherical components with respect to the mapping of the star)

Definition at line 1357 of file star.h.

References beta_comp.

◆ get_bsn()

const Vector& Lorene::Star_bin_xcts::get_bsn ( ) const

inline

Returns the shift vector, divided by N, of the rotating coordinates, $\beta^i/N$ .

(Spherical components with respect to the mapping of the star)

Definition at line 1342 of file star.h.

References bsn.

◆ get_chi()

const Scalar& Lorene::Star_bin_xcts::get_chi ( ) const

inline

Return the function $\chi$ .

Definition at line 1392 of file star.h.

References chi.

◆ get_chi_auto()

const Scalar& Lorene::Star_bin_xcts::get_chi_auto ( ) const

inline

Returns the scalar field $\chi_{auto} = (N\Psi)_{auto}$ generated principally by the star.

Definition at line 1372 of file star.h.

References chi_auto.

◆ get_chi_comp()

const Scalar& Lorene::Star_bin_xcts::get_chi_comp ( ) const

inline

Returns the scalar field $\chi_{comp} = (N\Psi)_{comp}$ generated principally by the companion star.

Definition at line 1377 of file star.h.

References chi_comp.

◆ get_d_psi()

const Vector& Lorene::Star_bin_xcts::get_d_psi ( ) const

inline

Returns the covariant derivative of the velocity potential (Spherical components with respect to the mapping of the star)

Definition at line 1325 of file star.h.

References d_psi.

◆ get_dcov_chi()

const Vector& Lorene::Star_bin_xcts::get_dcov_chi ( ) const

inline

Returns the covariant derivative of $\chi$ .

Definition at line 1381 of file star.h.

References dcov_chi.

◆ get_dcov_Psi()

const Vector& Lorene::Star_bin_xcts::get_dcov_Psi ( ) const

inline

Returns the covariant derivative of the conformal factor $\Psi$ .

Definition at line 1386 of file star.h.

References dcov_Psi.

◆ get_ener()

const Scalar& Lorene::Star::get_ener ( ) const

inlineinherited

Returns the proper total energy density.

Definition at line 370 of file star.h.

References Lorene::Star::ener.

◆ get_ener_euler()

const Scalar& Lorene::Star::get_ener_euler ( ) const

inlineinherited

Returns the total energy density with respect to the Eulerian observer.

Definition at line 376 of file star.h.

References Lorene::Star::ener_euler.

◆ get_ent()

const Scalar& Lorene::Star::get_ent ( ) const

inlineinherited

Returns the enthalpy field.

Definition at line 364 of file star.h.

References Lorene::Star::ent.

◆ get_eos()

const Eos& Lorene::Star::get_eos ( ) const

inlineinherited

Returns the equation of state.

Definition at line 361 of file star.h.

References Lorene::Star::eos.

◆ get_flat()

const Metric& Lorene::Star_bin_xcts::get_flat ( ) const

inline

Return the flat metric defined on the mapping (Spherical components with respect to the mapping of the star)

Definition at line 1400 of file star.h.

References flat.

◆ get_gam_euler()

const Scalar& Lorene::Star::get_gam_euler ( ) const

inlineinherited

Returns the Lorentz factor between the fluid and Eulerian observers.

Definition at line 382 of file star.h.

References Lorene::Star::gam_euler.

◆ get_gamma()

const Metric& Lorene::Star::get_gamma ( ) const

inlineinherited

Returns the 3-metric $\gamma$ .

Definition at line 409 of file star.h.

References Lorene::Star::gamma.

◆ get_hacar_auto()

const Scalar& Lorene::Star_bin_xcts::get_hacar_auto ( ) const

inline

Returns the part of $\hat{A}^{ij}\hat{A}_{ij}$ generated by beta_auto.

Definition at line 1417 of file star.h.

References hacar_auto.

◆ get_hacar_comp()

const Scalar& Lorene::Star_bin_xcts::get_hacar_comp ( ) const

inline

Returns the part of $\hat{A}^{ij}\hat{A}_{ij}$ generated by beta_comp.

Definition at line 1422 of file star.h.

References hacar_comp.

◆ get_haij_auto()

const Sym_tensor& Lorene::Star_bin_xcts::get_haij_auto ( ) const

inline

Returns the part of the extrinsic curvature tensor $\hat{A}^{ij}$ generated by beta_auto.

(Spherical components with respect to the mapping of the star)

Definition at line 1406 of file star.h.

References haij_auto.

◆ get_haij_comp()

const Sym_tensor& Lorene::Star_bin_xcts::get_haij_comp ( ) const

inline

Returns the part of the extrinsic curvature tensor $\hat{A}^{ij}$ generated by beta_comp.

(Spherical components with respect to the mapping of the star)

Definition at line 1412 of file star.h.

References haij_comp.

◆ get_loggam()

const Scalar& Lorene::Star_bin_xcts::get_loggam ( ) const

inline

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

Definition at line 1336 of file star.h.

References loggam.

◆ get_logn()

const Scalar& Lorene::Star::get_logn ( ) const

inlineinherited

Returns the logarithm of the lapse N.

In the Newtonian case, this is the Newtonian gravitational potential (in units of $c^2$ ).

Definition at line 396 of file star.h.

References Lorene::Star::logn.

◆ get_mp()

const Map& Lorene::Star::get_mp ( ) const

inlineinherited

Returns the mapping.

Definition at line 355 of file star.h.

References Lorene::Star::mp.

◆ get_nbar()

const Scalar& Lorene::Star::get_nbar ( ) const

inlineinherited

Returns the proper baryon density.

Definition at line 367 of file star.h.

References Lorene::Star::nbar.

◆ get_nn()

const Scalar& Lorene::Star::get_nn ( ) const

inlineinherited

Returns the lapse function N.

Definition at line 399 of file star.h.

References Lorene::Star::nn.

◆ get_nzet()

int Lorene::Star::get_nzet ( ) const

inlineinherited

Returns the number of domains occupied by the star.

Definition at line 358 of file star.h.

References Lorene::Star::nzet.

◆ get_pot_centri()

const Scalar& Lorene::Star_bin_xcts::get_pot_centri ( ) const

inline

Returns the centrifugal potential.

Definition at line 1345 of file star.h.

References pot_centri.

◆ get_press()

const Scalar& Lorene::Star::get_press ( ) const

inlineinherited

Returns the fluid pressure.

Definition at line 373 of file star.h.

References Lorene::Star::press.

◆ get_Psi()

const Scalar& Lorene::Star_bin_xcts::get_Psi ( ) const

inline

Return the conformal factor $\Psi$ .

Definition at line 1389 of file star.h.

References Psi.

◆ get_psi0()

const Scalar& Lorene::Star_bin_xcts::get_psi0 ( ) const

inline

Returns the non-translational part of the velocity potential.

Definition at line 1320 of file star.h.

References psi0.

◆ get_psi4()

const Scalar& Lorene::Star_bin_xcts::get_psi4 ( ) const

inline

Return the conformal factor $\Psi^4$ .

Definition at line 1395 of file star.h.

References psi4.

◆ get_Psi_auto()

const Scalar& Lorene::Star_bin_xcts::get_Psi_auto ( ) const

inline

Returns the scalar field $\Psi_{auto}$ generated principally by the star.

Definition at line 1362 of file star.h.

References Psi_auto.

◆ get_Psi_comp()

const Scalar& Lorene::Star_bin_xcts::get_Psi_comp ( ) const

inline

Returns the scalar field $\Psi_{comp}$ generated principally by the companion star.

Definition at line 1367 of file star.h.

References Psi_comp.

◆ get_s_euler()

const Scalar& Lorene::Star::get_s_euler ( ) const

inlineinherited

Returns the trace of the stress tensor in the Eulerian frame.

Definition at line 379 of file star.h.

References Lorene::Star::s_euler.

◆ get_stress_euler()

const Tensor& Lorene::Star::get_stress_euler ( ) const

inlineinherited

Returns the spatial part of the stress-energy tensor with respect to the Eulerian observer.

Definition at line 390 of file star.h.

References Lorene::Star::stress_euler.

◆ get_u_euler()

const Vector& Lorene::Star::get_u_euler ( ) const

inlineinherited

Returns the fluid 3-velocity with respect to the Eulerian observer.

Definition at line 385 of file star.h.

References Lorene::Star::u_euler.

◆ get_wit_w()

const Vector& Lorene::Star_bin_xcts::get_wit_w ( ) const

inline

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

(Spherical components with respect to the mapping of the star)

Definition at line 1331 of file star.h.

References wit_w.

◆ hydro_euler()

void Lorene::Star_bin_xcts::hydro_euler ( )

virtual

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 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, stress_euler,
wit_w and loggam.

Reimplemented from Lorene::Star.

Definition at line 52 of file star_bin_hydro_xcts.C.

References Lorene::Tensor::annule(), Lorene::Tensor::annule_domain(), bsn, Lorene::Tensor::change_triad(), Lorene::Metric::con(), Lorene::contract(), Lorene::Metric::cov(), d_psi, del_deriv(), Lorene::Star::ener, Lorene::Star::ener_euler, Lorene::Star::ent, Lorene::exp(), Lorene::Star::gam_euler, Lorene::Star::gamma, Lorene::Map::get_bvect_cart(), Lorene::Map::get_mg(), Lorene::Mg3d::get_nzone(), irrotational, Lorene::log(), loggam, Lorene::Star::mp, Lorene::Star::nzet, Lorene::Star::press, Lorene::Star::s_euler, Lorene::Tensor::set(), Lorene::Scalar::set_dzpuis(), Lorene::Tensor::set_etat_zero(), Lorene::sqrt(), Lorene::Vector::std_spectral_base(), Lorene::Scalar::std_spectral_base(), Lorene::Star::stress_euler, Lorene::Star::u_euler, and wit_w.

◆ is_irrotational()

bool Lorene::Star_bin_xcts::is_irrotational ( ) const

inline

Returns true for an irrotational motion, false for a corotating one.

Definition at line 1317 of file star.h.

References irrotational.

◆ kinematics()

void Lorene::Star_bin_xcts::kinematics	(	double	omega,
		double	x_axe
	)

Computes the quantities bsn and pot_centri.

The calculation is performed starting from the quantities nn, beta, Psi,
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

Definition at line 62 of file star_bin_kinema_xcts.C.

References Lorene::Tensor::annule_domain(), Lorene::Star::beta, bsn, Lorene::Vector::change_triad(), Lorene::Tensor::change_triad(), Lorene::contract(), Lorene::Metric::cov(), del_deriv(), Lorene::Star::gamma, Lorene::Map::get_bvect_cart(), Lorene::Map::get_mg(), Lorene::Mg3d::get_nzone(), Lorene::Map::get_rot_phi(), Lorene::log(), Lorene::Star::mp, Lorene::Star::nn, pot_centri, Lorene::Vector::set(), Lorene::sqrt(), Lorene::Vector::std_spectral_base(), Lorene::Scalar::std_spectral_base(), Lorene::Map::xa, and Lorene::Map::ya.

◆ l_surf()

const Itbl & Lorene::Star::l_surf ( ) const

virtualinherited

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 $(\theta', \phi')$ .

The stellar surface is defined as the location where the enthalpy (member ent) vanishes.

Reimplemented in Lorene::Star_rot.

Definition at line 66 of file star_global.C.

References Lorene::Star::ent, Lorene::Map::get_mg(), Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nt(), Lorene::Scalar::get_spectral_va(), Lorene::Star::mp, Lorene::Star::nzet, Lorene::Star::p_l_surf, and Lorene::Star::p_xi_surf.

◆ mass_b()

double Lorene::Star_bin_xcts::mass_b ( ) const

virtual

Baryon mass.

Implements Lorene::Star.

Definition at line 53 of file star_bin_global_xcts.C.

References Lorene::Metric::determinant(), Lorene::Star::gam_euler, Lorene::Star::gamma, Lorene::Scalar::integrale(), Lorene::Star::nbar, Lorene::Star::p_mass_b, Lorene::sqrt(), and Lorene::Scalar::std_spectral_base().

◆ mass_g()

double Lorene::Star_bin_xcts::mass_g ( ) const

virtual

Gravitational mass.

Implements Lorene::Star.

Definition at line 77 of file star_bin_global_xcts.C.

References Lorene::Metric::determinant(), Lorene::Star::ener_euler, Lorene::Star::gamma, Lorene::Scalar::integrale(), Lorene::Star::nn, Lorene::Star::p_mass_g, Lorene::Star::s_euler, Lorene::sqrt(), and Lorene::Scalar::std_spectral_base().

◆ operator=()

void Lorene::Star_bin_xcts::operator= ( const Star_bin_xcts & star )

Assignment to another Star_bin_xcts.

Definition at line 339 of file star_bin_xcts.C.

References beta_auto, beta_comp, bsn, chi, chi_auto, chi_comp, d_psi, dcov_chi, dcov_Psi, del_deriv(), flat, hacar_auto, hacar_comp, haij_auto, haij_comp, irrotational, khi, loggam, Lorene::Star::operator=(), pot_centri, Psi, psi0, psi4, Psi_auto, Psi_comp, ssjm1_chi, ssjm1_khi, ssjm1_psi, ssjm1_wbeta, w_beta, and wit_w.

◆ operator>>()

ostream & Lorene::Star_bin_xcts::operator>> ( ostream & ost ) const

protectedvirtual

Operator >> (virtual function called by the operator <<).

Reimplemented from Lorene::Star.

Definition at line 466 of file star_bin_xcts.C.

References Lorene::Star::beta, beta_auto, bsn, d_psi, Lorene::Scalar::dsdr(), Lorene::Star::ener, Lorene::Star::ent, Lorene::Star::eos, Lorene::Star::gam_euler, Lorene::Map::get_ori_x(), hacar_auto, hacar_comp, haij_auto, haij_comp, irrotational, loggam, mass_b(), mass_g(), Lorene::max(), Lorene::min(), Lorene::Star::mp, Lorene::Star::nbar, Lorene::Star::nn, Lorene::Star::nzet, Lorene::pow(), Lorene::Star::press, Psi_auto, Psi_comp, Lorene::Star::ray_eq(), Lorene::Star::ray_eq_pi(), Lorene::Star::ray_eq_pis2(), Lorene::Star::ray_pole(), Lorene::Scalar::std_spectral_base(), Lorene::Star::u_euler, Lorene::Scalar::val_grid_point(), Lorene::Scalar::val_point(), Lorene::Map::val_r(), wit_w, and xa_barycenter().

◆ ray_eq()

double Lorene::Star::ray_eq ( ) const

inherited

Coordinate radius at $\phi=0$ , $\theta=\pi/2$ [r_unit].

Definition at line 111 of file star_global.C.

References Lorene::Map::get_mg(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_type_p(), Lorene::Mg3d::get_type_t(), Lorene::Star::mp, and Lorene::Star::p_ray_eq.

◆ ray_eq_3pis2()

double Lorene::Star::ray_eq_3pis2 ( ) const

inherited

Coordinate radius at $\phi=3\pi/2$ , $\theta=\pi/2$ [r_unit].

Definition at line 236 of file star_global.C.

References Lorene::Map::get_mg(), Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_type_p(), Lorene::Mg3d::get_type_t(), Lorene::Star::mp, and Lorene::Star::p_ray_eq_3pis2.

◆ ray_eq_pi()

double Lorene::Star::ray_eq_pi ( ) const

inherited

Coordinate radius at $\phi=\pi$ , $\theta=\pi/2$ [r_unit].

Definition at line 189 of file star_global.C.

References Lorene::Map::get_mg(), Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_type_p(), Lorene::Mg3d::get_type_t(), Lorene::Star::mp, and Lorene::Star::p_ray_eq_pi.

◆ ray_eq_pis2()

double Lorene::Star::ray_eq_pis2 ( ) const

inherited

Coordinate radius at $\phi=\pi/2$ , $\theta=\pi/2$ [r_unit].

Definition at line 141 of file star_global.C.

References Lorene::Map::get_mg(), Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_type_p(), Lorene::Mg3d::get_type_t(), Lorene::Star::mp, and Lorene::Star::p_ray_eq_pis2.

◆ ray_pole()

double Lorene::Star::ray_pole ( ) const

inherited

Coordinate radius at $\theta=0$ [r_unit].

Definition at line 281 of file star_global.C.

References Lorene::Map::get_mg(), Lorene::Mg3d::get_type_t(), Lorene::Star::mp, and Lorene::Star::p_ray_pole.

◆ relaxation()

void Lorene::Star_bin_xcts::relaxation	(	const Star_bin_xcts &	star_prev,
		double	relax_ent,
		double	relax_met,
		int	mer,
		int	fmer_met
	)

Performs a relaxation on ent, Psi_auto, chi_auto and beta_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`, `lnq_auto`, `beta_auto`, only if (mer % fmer_met == 0).
mer	[input] Step number
fmer_met	[input] Step interval between metric updates

Definition at line 692 of file star_bin_xcts.C.

References beta_auto, chi_auto, del_deriv(), Lorene::Star::ent, Lorene::Star::equation_of_state(), and Psi_auto.

◆ sauve()

void Lorene::Star_bin_xcts::sauve ( FILE * fich ) const

virtual

Save in a file.

Reimplemented from Lorene::Star.

Definition at line 435 of file star_bin_xcts.C.

References beta_auto, chi_auto, Lorene::Star::gam_euler, irrotational, khi, psi0, Psi_auto, Lorene::Star::sauve(), Lorene::Tensor::sauve(), Lorene::Scalar::sauve(), ssjm1_chi, ssjm1_khi, ssjm1_psi, ssjm1_wbeta, and w_beta.

◆ set_beta()

Vector & Lorene::Star_bin_xcts::set_beta ( )

Read/write of $\beta$ .

Definition at line 421 of file star_bin_xcts.C.

References Lorene::Star::beta, and del_deriv().

◆ set_beta_auto()

Vector & Lorene::Star_bin_xcts::set_beta_auto ( )

Read/write of $\beta_{auto}$ .

Definition at line 414 of file star_bin_xcts.C.

References beta_auto, and del_deriv().

◆ set_chi_auto()

Scalar & Lorene::Star_bin_xcts::set_chi_auto ( )

Read/write the conformal factor $\chi_{auto}$ .

Definition at line 407 of file star_bin_xcts.C.

References chi_auto, and del_deriv().

◆ set_chi_comp()

Scalar & Lorene::Star_bin_xcts::set_chi_comp ( )

Read/write the conformal factor $\chi_{comp}$ .

Definition at line 400 of file star_bin_xcts.C.

References chi_comp, and del_deriv().

◆ set_der_0x0()

void Lorene::Star_bin_xcts::set_der_0x0 ( ) const

protectedvirtual

Sets to 0x0 all the pointers on derived quantities.

Reimplemented from Lorene::Star.

Definition at line 316 of file star_bin_xcts.C.

References p_xa_barycenter, and Lorene::Star::set_der_0x0().

◆ set_enthalpy()

void Lorene::Star::set_enthalpy ( const Scalar & ent_i )

inherited

Assignment of the enthalpy field.

Definition at line 382 of file star.C.

References Lorene::Star::del_deriv(), Lorene::Star::ent, and Lorene::Star::equation_of_state().

◆ set_mp()

Map& Lorene::Star::set_mp ( )

inlineinherited

Read/write of the mapping.

Definition at line 322 of file star.h.

References Lorene::Star::mp.

◆ set_pot_centri()

Scalar & Lorene::Star_bin_xcts::set_pot_centri ( )

Read/write the centrifugal potential.

Definition at line 379 of file star_bin_xcts.C.

References del_deriv(), and pot_centri.

◆ set_Psi_auto()

Scalar & Lorene::Star_bin_xcts::set_Psi_auto ( )

Read/write the conformal factor $\Psi_{auto}$ .

Definition at line 393 of file star_bin_xcts.C.

References del_deriv(), and Psi_auto.

◆ set_Psi_comp()

Scalar & Lorene::Star_bin_xcts::set_Psi_comp ( )

Read/write the conformal factor $\Psi_{comp}$ .

Definition at line 386 of file star_bin_xcts.C.

References del_deriv(), and Psi_comp.

◆ update_metric() [1/2]

void Lorene::Star_bin_xcts::update_metric ( const Star_bin_xcts & comp )

Computes metric coefficients from known potentials, when the companion is another star.

The calculation is performed starting from the quantities Psi_auto, chi_auto, beta_auto, comp.Psi_auto, comp.chi_auto, comp.beta_auto which are supposed to be up to date. From these, the following fields are updated: Psi_comp, chi_comp, beta_comp, nn, psi4, beta.

Parameters

comp	companion star.
omega	angular velocity with respect to an asymptotically inertial observer

Definition at line 70 of file star_bin_upmetr_xcts.C.

References Psi_auto.

◆ update_metric() [2/2]

void Lorene::Star_bin_xcts::update_metric	(	const Star_bin_xcts &	comp,
		const Star_bin_xcts &	star_prev,
		double	relax
	)

Same as update_metric(const Star_bin_xcts& ) but with relaxation.

Parameters

comp	companion star.
star_prev	previous value of the star.
relax	relaxation parameter.
omega	angular velocity with respect to an asymptotically inertial observer

Definition at line 155 of file star_bin_upmetr_xcts.C.

References Psi_auto.

◆ update_metric_der_comp()

void Lorene::Star_bin_xcts::update_metric_der_comp ( const Star_bin_xcts & comp )

Computes the derivative of metric functions related to the companion star.

Definition at line 65 of file star_bin_upmetr_der_xcts.C.

References beta_auto, beta_comp, Lorene::Vector::change_triad(), Lorene::Tensor::change_triad(), chi, chi_auto, Lorene::Metric_flat::con(), Lorene::contract(), dcov_chi, dcov_Psi, Lorene::Tensor::dec_dzpuis(), del_deriv(), Lorene::Scalar::derive_cov(), Lorene::Vector::divergence(), flat, Lorene::Map::get_bvect_cart(), Lorene::Tensor::get_triad(), hacar_comp, haij_auto, haij_comp, Lorene::Scalar::import(), Lorene::Tensor::inc_dzpuis(), Lorene::Star::mp, Lorene::pow(), Psi, Psi_auto, Lorene::Vector::set(), Lorene::Tensor::set(), Lorene::Valeur::set_base(), Lorene::Scalar::set_spectral_va(), Lorene::Tensor::std_spectral_base(), and Lorene::Tensor::up_down().

◆ velocity_potential()

double Lorene::Star_bin_xcts::velocity_potential	(	int	mermax,
		double	precis,
		double	relax
	)

Computes the non-translational part of the velocity scalar potential $\psi0$ 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 $\psi0$ 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 73 of file star_bin_vel_pot_xcts.C.

References Lorene::Param::add_double(), Lorene::Param::add_int(), Lorene::Param::add_int_mod(), Lorene::Scalar::annule(), bsn, Lorene::Vector::change_triad(), chi, Lorene::contract(), Lorene::Eos::der_nbar_ent(), Lorene::Scalar::derive_con(), Lorene::Scalar::derive_cov(), Lorene::Star::ent, Lorene::Star::eos, Lorene::exp(), flat, Lorene::Map::flat_met_spher(), Lorene::Star::gam_euler, Lorene::Map::get_bvect_cart(), Lorene::Scalar::get_etat(), Lorene::Map::get_mg(), Lorene::Mg3d::get_nzone(), Lorene::Tensor::get_triad(), Lorene::log(), Lorene::Star::mp, Lorene::Star::nzet, Psi, psi0, psi4, Lorene::Scalar::set_domain(), Lorene::Tensor::set_etat_qcq(), Lorene::Tensor::set_triad(), and Lorene::Scalar::std_spectral_base().

◆ xa_barycenter()

double Lorene::Star_bin_xcts::xa_barycenter ( ) const

virtual

Absolute coordinate X of the barycenter of the baryon density,.

Definition at line 102 of file star_bin_global_xcts.C.

References Lorene::Tensor::annule_domain(), Lorene::Metric::determinant(), Lorene::Star::gam_euler, Lorene::Star::gamma, Lorene::Map::get_mg(), Lorene::Mg3d::get_nzone(), Lorene::Scalar::integrale(), mass_b(), Lorene::Star::mp, Lorene::Star::nbar, p_xa_barycenter, Lorene::sqrt(), Lorene::Scalar::std_spectral_base(), and Lorene::Map::xa.

◆ xi_surf()

const Tbl & Lorene::Star::xi_surf ( ) const

inherited

Description of the stellar surface: returns a 2-D Tbl containing the values of the radial coordinate $\xi$ on the surface at the collocation points in $(\theta', \phi')$ .

The stellar surface is defined as the location where the enthalpy (member ent) vanishes.

Definition at line 92 of file star_global.C.

References Lorene::Star::l_surf(), Lorene::Star::p_l_surf, and Lorene::Star::p_xi_surf.

Member Data Documentation

◆ beta

Vector Lorene::Star::beta

protectedinherited

Shift vector.

Definition at line 228 of file star.h.

◆ beta_auto

Vector Lorene::Star_bin_xcts::beta_auto

protected

Part of the shift vector generated principally by the star (Spherical components with respect to the mapping of the star)

Definition at line 1182 of file star.h.

◆ beta_comp

Vector Lorene::Star_bin_xcts::beta_comp

protected

Part of the shift vector generated principally by the star (Spherical components with respect to the mapping of the star)

Definition at line 1187 of file star.h.

◆ bsn

Vector Lorene::Star_bin_xcts::bsn

protected

3-vector shift, divided by N, of the rotating coordinates, $\beta^i/N$ .

(Spherical components with respect to the mapping of the star)

Definition at line 1126 of file star.h.

◆ chi

Scalar Lorene::Star_bin_xcts::chi

protected

Total function $\chi$ .

Definition at line 1155 of file star.h.

◆ chi_auto

Scalar Lorene::Star_bin_xcts::chi_auto

protected

Scalar field $\chi_{auto} = (N\Psi)_{auto}$ generated principally by the star.

Definition at line 1134 of file star.h.

◆ chi_comp

Scalar Lorene::Star_bin_xcts::chi_comp

protected

Scalar field $\chi_{comp} = (N\Psi)_{comp}$ generated principally by the companion star.

Definition at line 1139 of file star.h.

◆ d_psi

Vector Lorene::Star_bin_xcts::d_psi

protected

Gradient of $\Psi$ (in the irrotational case) (Spherical components with respect to the mapping of the star)

Definition at line 1109 of file star.h.

◆ dcov_chi

Vector Lorene::Star_bin_xcts::dcov_chi

protected

Covariant derivative of the function $\chi$ .

Definition at line 1174 of file star.h.

◆ dcov_Psi

Vector Lorene::Star_bin_xcts::dcov_Psi

protected

Covariant derivative of the conformal factor $\Psi$ .

Definition at line 1171 of file star.h.

◆ ener

Scalar Lorene::Star::ener

protectedinherited

Total energy density in the fluid frame.

Definition at line 193 of file star.h.

◆ ener_euler

Scalar Lorene::Star::ener_euler

protectedinherited

Total energy density in the Eulerian frame.

Definition at line 198 of file star.h.

◆ ent

Scalar Lorene::Star::ent

protectedinherited

Log-enthalpy.

Definition at line 190 of file star.h.

◆ eos

const Eos& Lorene::Star::eos

protectedinherited

Equation of state of the stellar matter.

Definition at line 185 of file star.h.

◆ flat

Metric_flat Lorene::Star_bin_xcts::flat

protected

Flat metric defined on the mapping (Spherical components with respect to the mapping of the star) .

Definition at line 1177 of file star.h.

◆ gam_euler

Scalar Lorene::Star::gam_euler

protectedinherited

Lorentz factor between the fluid and Eulerian observers.

Definition at line 204 of file star.h.

◆ gamma

Metric Lorene::Star::gamma

protectedinherited

3-metric

Definition at line 235 of file star.h.

◆ hacar_auto

Scalar Lorene::Star_bin_xcts::hacar_auto

protected

Part of the scalar $\hat{A}_{ij}\hat{A}^{ij}$ generated by beta_auto, i.e.

$\hat{A}_{ij}^{\rm auto}\hat{A}^{ij}_{\rm auto}$

Definition at line 1205 of file star.h.

◆ hacar_comp

Scalar Lorene::Star_bin_xcts::hacar_comp

protected

Part of the scalar $\hat{A}_{ij}\hat{A}^{ij}$ generated by beta_auto and beta_comp, i.e.

$\hat{A}_{ij}^{\rm auto}\hat{A}^{ij}_{\rm comp}$

Definition at line 1211 of file star.h.

◆ haij_auto

Sym_tensor Lorene::Star_bin_xcts::haij_auto

protected

Part of the extrinsic curvature tensor $\hat{A}^{ij}$ generated by beta_auto.

(Spherical components with respect to the mapping of the star)

Definition at line 1193 of file star.h.

◆ haij_comp

Sym_tensor Lorene::Star_bin_xcts::haij_comp

protected

Part of the extrinsic curvature tensor $\hat{A}^{ij}$ generated by beta_comp.

(Spherical components with respect to the mapping of the star)

Definition at line 1199 of file star.h.

◆ irrotational

bool Lorene::Star_bin_xcts::irrotational

protected

true for an irrotational star, false for a corotating one

Definition at line 1099 of file star.h.

◆ khi

Scalar Lorene::Star_bin_xcts::khi

protected

Solution for the scalar part of the vector Poisson equation for $\beta^i$ .

Definition at line 1168 of file star.h.

◆ loggam

Scalar Lorene::Star_bin_xcts::loggam

protected

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

Definition at line 1120 of file star.h.

◆ logn

Scalar Lorene::Star::logn

protectedinherited

Logarithm of the lapse N .

In the Newtonian case, this is the Newtonian gravitational potential (in units of $c^2$ ).

Definition at line 222 of file star.h.

◆ mp

Map& Lorene::Star::mp

protectedinherited

Mapping associated with the star.

Definition at line 180 of file star.h.

◆ nbar

Scalar Lorene::Star::nbar

protectedinherited

Baryon density in the fluid frame.

Definition at line 192 of file star.h.

◆ nn

Scalar Lorene::Star::nn

protectedinherited

Lapse function N .

Definition at line 225 of file star.h.

◆ nzet

int Lorene::Star::nzet

protectedinherited

Number of domains of *mp occupied by the star.

Definition at line 183 of file star.h.

◆ p_l_surf

Itbl* Lorene::Star::p_l_surf

mutableprotectedinherited

Description of the stellar surface: 2-D Itbl containing the values of the domain index l on the surface at the collocation points in $(\theta', \phi')$ .

Definition at line 260 of file star.h.

◆ p_mass_b

double* Lorene::Star::p_mass_b

mutableprotectedinherited

Baryon mass.

Definition at line 268 of file star.h.

◆ p_mass_g

double* Lorene::Star::p_mass_g

mutableprotectedinherited

Gravitational mass.

Definition at line 269 of file star.h.

◆ p_ray_eq

double* Lorene::Star::p_ray_eq

mutableprotectedinherited

Coordinate radius at $\phi=0$ , $\theta=\pi/2$ .

Definition at line 242 of file star.h.

◆ p_ray_eq_3pis2

double* Lorene::Star::p_ray_eq_3pis2

mutableprotectedinherited

Coordinate radius at $\phi=3\pi/2$ , $\theta=\pi/2$ .

Definition at line 251 of file star.h.

◆ p_ray_eq_pi

double* Lorene::Star::p_ray_eq_pi

mutableprotectedinherited

Coordinate radius at $\phi=\pi$ , $\theta=\pi/2$ .

Definition at line 248 of file star.h.

◆ p_ray_eq_pis2

double* Lorene::Star::p_ray_eq_pis2

mutableprotectedinherited

Coordinate radius at $\phi=\pi/2$ , $\theta=\pi/2$ .

Definition at line 245 of file star.h.

◆ p_ray_pole

double* Lorene::Star::p_ray_pole

mutableprotectedinherited

Coordinate radius at $\theta=0$ .

Definition at line 254 of file star.h.

◆ p_xa_barycenter

double* Lorene::Star_bin_xcts::p_xa_barycenter

mutableprotected

Absolute coordinate X of the barycenter of the baryon density.

Definition at line 1240 of file star.h.

◆ p_xi_surf

Tbl* Lorene::Star::p_xi_surf

mutableprotectedinherited

Description of the stellar surface: 2-D Tbl containing the values of the radial coordinate $\xi$ on the surface at the collocation points in $(\theta', \phi')$ .

Definition at line 266 of file star.h.

◆ pot_centri

Scalar Lorene::Star_bin_xcts::pot_centri

protected

Centrifugal potential.

Definition at line 1129 of file star.h.

◆ press

Scalar Lorene::Star::press

protectedinherited

Fluid pressure.

Definition at line 194 of file star.h.

◆ Psi

Scalar Lorene::Star_bin_xcts::Psi

protected

Total conformal factor $\Psi$ .

Definition at line 1152 of file star.h.

◆ psi0

Scalar Lorene::Star_bin_xcts::psi0

protected

Scalar potential $\Psi_0$ of the non-translational part of fluid 4-velocity (in the irrotational case)

Definition at line 1104 of file star.h.

◆ psi4

Scalar Lorene::Star_bin_xcts::psi4

protected

Conformal factor $\psi^4$ .

Definition at line 1158 of file star.h.

◆ Psi_auto

Scalar Lorene::Star_bin_xcts::Psi_auto

protected

Scalar field $\Psi_{auto}$ generated principally by the star.

Definition at line 1144 of file star.h.

◆ Psi_comp

Scalar Lorene::Star_bin_xcts::Psi_comp

protected

Scalar field $\Psi_{comp}$ generated principally by the companion star.

Definition at line 1149 of file star.h.

◆ s_euler

Scalar Lorene::Star::s_euler

protectedinherited

Trace of the stress scalar in the Eulerian frame.

Definition at line 201 of file star.h.

◆ ssjm1_chi

Scalar Lorene::Star_bin_xcts::ssjm1_chi

protected

Effective source at the previous step for the resolution of the Poisson equation for .

Definition at line 1216 of file star.h.

◆ ssjm1_khi

Scalar Lorene::Star_bin_xcts::ssjm1_khi

protected

Effective source at the previous step for the resolution of the Poisson equation for khi.

(second scalar equation for the resolution of the vectorial poisson equation for the shift)

Definition at line 1227 of file star.h.

◆ ssjm1_psi

Scalar Lorene::Star_bin_xcts::ssjm1_psi

protected

Effective source at the previous step for the resolution of the Poisson equation for .

Definition at line 1221 of file star.h.

◆ ssjm1_wbeta

Vector Lorene::Star_bin_xcts::ssjm1_wbeta

protected

Effective source at the previous step for wbeta of the vector Poisson equation for wbeta (needed for the solution of the vector Poisson equation for the shift $\beta^i$ )

Definition at line 1234 of file star.h.

◆ stress_euler

Sym_tensor Lorene::Star::stress_euler

protectedinherited

Spatial part of the stress-energy tensor with respect to the Eulerian observer.

Definition at line 212 of file star.h.

◆ u_euler

Vector Lorene::Star::u_euler

protectedinherited

Fluid 3-velocity with respect to the Eulerian observer.

Definition at line 207 of file star.h.

◆ w_beta

Vector Lorene::Star_bin_xcts::w_beta

protected

Solution for the vector part of the vector Poisson equation for $\beta^i$ .

Definition at line 1163 of file star.h.

◆ wit_w

Vector Lorene::Star_bin_xcts::wit_w

protected

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

(Spherical components with respect to the mapping of the star)

Definition at line 1115 of file star.h.

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

Public Member Functions

Protected Member Functions

Protected Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ Star_bin_xcts() [1/3]

◆ Star_bin_xcts() [2/3]

◆ Star_bin_xcts() [3/3]

◆ ~Star_bin_xcts()

Member Function Documentation

◆ del_deriv()

◆ del_hydro_euler()

◆ equation_of_state()

◆ equilibrium()

◆ equilibrium_spher()

◆ extrinsic_curvature()

◆ fait_d_psi()

◆ get_beta()

◆ get_beta_auto()

◆ get_beta_comp()

◆ get_bsn()

◆ get_chi()

◆ get_chi_auto()

◆ get_chi_comp()

◆ get_d_psi()

◆ get_dcov_chi()

◆ get_dcov_Psi()

◆ get_ener()

◆ get_ener_euler()

◆ get_ent()

◆ get_eos()

◆ get_flat()

◆ get_gam_euler()

◆ get_gamma()

◆ get_hacar_auto()

◆ get_hacar_comp()

◆ get_haij_auto()

◆ get_haij_comp()

◆ get_loggam()

◆ get_logn()

◆ get_mp()

◆ get_nbar()

◆ get_nn()

◆ get_nzet()

◆ get_pot_centri()

◆ get_press()

◆ get_Psi()

◆ get_psi0()

◆ get_psi4()

◆ get_Psi_auto()

◆ get_Psi_comp()

◆ get_s_euler()

◆ get_stress_euler()

◆ get_u_euler()

◆ get_wit_w()

◆ hydro_euler()

◆ is_irrotational()

◆ kinematics()

◆ l_surf()

◆ mass_b()

◆ mass_g()

◆ operator=()

◆ operator>>()

◆ ray_eq()

◆ ray_eq_3pis2()

◆ ray_eq_pi()

◆ ray_eq_pis2()

◆ ray_pole()

◆ relaxation()

◆ sauve()

◆ set_beta()

◆ set_beta_auto()

◆ set_chi_auto()

◆ set_chi_comp()

◆ set_der_0x0()

◆ set_enthalpy()

◆ set_mp()

◆ set_pot_centri()

◆ set_Psi_auto()