Base class for stars *** DEPRECATED : use class Star instead ***. More...

#include <etoile.h>

Inheritance diagram for Lorene::Etoile:

Public Member Functions
	Etoile (Map &mp_i, int nzet_i, bool relat, const Eos &eos_i)
	Standard constructor.
	Etoile (const Etoile &)
	Copy constructor.
	Etoile (Map &mp_i, const Eos &eos_i, FILE *fich)
	Constructor from a file (see `sauve(FILE*)` ).
virtual	~Etoile ()
	Destructor.
void	operator= (const Etoile &)
	Assignment to another `Etoile`.
Map &	set_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	hydro_euler ()
	Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid frame (`nbar` , `ener` and `press` ).
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 Map &	get_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 Eos &	get_eos () const
	Returns the equation of state.
const Tenseur &	get_ent () const
	Returns the enthalpy field.
const Tenseur &	get_nbar () const
	Returns the proper baryon density.
const Tenseur &	get_ener () const
	Returns the proper total energy density.
const Tenseur &	get_press () const
	Returns the fluid pressure.
const Tenseur &	get_ener_euler () const
	Returns the total energy density with respect to the Eulerian observer.
const Tenseur &	get_s_euler () const
	Returns the trace of the stress tensor in the Eulerian frame.
const Tenseur &	get_gam_euler () const
	Returns the Lorentz factor between the fluid and Eulerian observers.
const Tenseur &	get_u_euler () const
	Returns the fluid 3-velocity with respect to the Eulerian observer.
const Tenseur &	get_logn_auto () const
	Returns the logarithm of the part of the lapse N generated principaly by the star.
const Tenseur &	get_logn_auto_regu () const
	Returns the regular part of the logarithm of the part of the lapse N generated principaly by the star.
const Tenseur &	get_logn_auto_div () const
	Returns the divergent part of the logarithm of the part of the lapse N generated principaly by the star.
const Tenseur &	get_d_logn_auto_div () const
	Returns the gradient of `logn_auto_div`.
const Tenseur &	get_beta_auto () const
	Returns the logarithm of the part of the product AN generated principaly by the star.
const Tenseur &	get_nnn () const
	Returns the total lapse function N.
const Tenseur &	get_shift () const
	Returns the total shift vector .
const Tenseur &	get_a_car () const
	Returns the total conformal factor .
virtual void	sauve (FILE *) const
	Save in a file.
double	ray_eq () const
	Coordinate radius at $\phi=0$ , $\theta=\pi/2$ [r_unit].
double	ray_eq_pis2 () const
	Coordinate radius at $\phi=\pi/2$ , $\theta=\pi/2$ [r_unit].
double	ray_eq_pi () const
	Coordinate radius at $\phi=\pi$ , $\theta=\pi/2$ [r_unit].
double	ray_eq_3pis2 () const
	Coordinate radius at $\phi=3\pi/2$ , $\theta=\pi/2$ [r_unit].
double	ray_pole () const
	Coordinate radius at $\theta=0$ [r_unit].
double	ray_eq (int kk) const
	Coordinate radius at $\phi=2k\pi/np$ , $\theta=\pi/2$ [r_unit].
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 $(\theta', \phi')$ .
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 $(\theta', \phi')$ .
virtual double	mass_b () const
	Baryon mass.
virtual double	mass_g () const
	Gravitational mass.

Protected Member Functions
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.
virtual ostream &	operator>> (ostream &) const
	Operator >> (virtual function called by the operator <<).

Protected Attributes
Map &	mp
	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 Eos &	eos
	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
	Coordinate radius at $\phi=0$ , $\theta=\pi/2$ .
double *	p_ray_eq_pis2
	Coordinate radius at $\phi=\pi/2$ , $\theta=\pi/2$ .
double *	p_ray_eq_pi
	Coordinate radius at $\phi=\pi$ , $\theta=\pi/2$ .
double *	p_ray_eq_3pis2
	Coordinate radius at $\phi=3\pi/2$ , $\theta=\pi/2$ .
double *	p_ray_pole
	Coordinate radius at $\theta=0$ .
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 $(\theta', \phi')$ .
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 $(\theta', \phi')$ .
double *	p_mass_b
	Baryon mass.
double *	p_mass_g
	Gravitational mass.

Friends
ostream &	operator<< (ostream &ost, const Etoile &et)
	Display.

Detailed Description

Base class for stars *** DEPRECATED : use class Star instead ***.

()

An Etoile is constructed upon (i) a mapping (derived class of Map ), the center of which defines the center of the star, and (ii) an equation of state (derived class of Eos ).
It contains tensor fields (class Tenseur ) which describle the hydrodynamical quantities as well as the gravitational field (spacetime metric).

According to the 3+1 formalism, the spacetime metric is written

$\‍[ \label{eetoilemetrique} ds^2 = - (N^2 - N_i N^i) dt^2 - 2 N_i \, dt\, dx^i + A^2 \, {\tilde h}_{ij} \, dx^i dx^j \‍]$

where ${\tilde h}_{ij}$ is a 3-metric, the exact form of which is specified in the derived classes of Etoile . The base class Etoile by itself provides only storage for the lapse function N (member nnn ), the shift vector $N^i$ (member shift ) and the conformal factor $A^2$ (member a_car ).

The 3+1 formalism introduces two kinds of priviledged observers: the fluid comoving observer and the Eulerian observer, whose 4-velocity is the unit future directed normal to the t = const hypersurfaces. The hydrodynamical quantities measured by the fluid observer correspond to the members ent , nbar , ener , and press . The hydrodynamical quantities measured by the Eulerian observer correspond to the members ener_euler , s_euler , gam_euler , and u_euler .

A star of class Etoile can be either relativistic or Newtonian, depending on the boolean indicator relativistic . For a Newtonian star, the metric coefficients N and A are set to 1, and $N^i$ is set to zero; the only relevant gravitational quantity in this case is logn_auto which represents the (regular part of) the Newtonian gravitational potential generated by the star.

Definition at line 424 of file etoile.h.

Constructor & Destructor Documentation

◆ Etoile() [1/3]

Lorene::Etoile::Etoile	(	Map &	mp_i,
		int	nzet_i,
		bool	relat,
		const Eos &	eos_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

Definition at line 143 of file etoile.C.

References a_car, beta_auto, d_logn_auto_div, ener, ener_euler, ent, eos, gam_euler, Lorene::get_bvect_cart(), Lorene::get_bvect_spher(), k_div, logn_auto, logn_auto_div, logn_auto_regu, Lorene::Map(), mp, nbar, nnn, nzet, press, relativistic, s_euler, set_der_0x0(), shift, u_euler, and unsurc2.

◆ Etoile() [2/3]

Lorene::Etoile::Etoile ( const Etoile & et )

Copy constructor.

Definition at line 245 of file etoile.C.

References a_car, beta_auto, d_logn_auto_div, ener, ener_euler, ent, eos, Etoile(), gam_euler, k_div, logn_auto, logn_auto_div, logn_auto_regu, mp, nbar, nnn, nzet, press, relativistic, s_euler, set_der_0x0(), shift, u_euler, and unsurc2.

◆ Etoile() [3/3]

Lorene::Etoile::Etoile	(	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 275 of file etoile.C.

References a_car, beta_auto, d_logn_auto_div, ener, ener_euler, ent, eos, Lorene::Eos::eos_from_file(), Lorene::fread_be(), gam_euler, Lorene::get_bvect_cart(), Lorene::get_bvect_spher(), k_div, logn_auto, logn_auto_div, logn_auto_regu, Lorene::Map(), mp, nbar, nnn, nzet, press, relativistic, s_euler, set_der_0x0(), shift, u_euler, and unsurc2.

◆ ~Etoile()

Lorene::Etoile::~Etoile ( )

virtual

Destructor.

Definition at line 367 of file etoile.C.

References del_deriv().

Member Function Documentation

◆ del_deriv()

void Lorene::Etoile::del_deriv ( ) const

protectedvirtual

Deletes all the derived quantities.

Reimplemented in Lorene::Et_rot_bifluid, Lorene::Et_rot_mag, Lorene::Etoile_bin, and Lorene::Etoile_rot.

Definition at line 378 of file etoile.C.

References p_l_surf, p_mass_b, p_mass_g, p_ray_eq, p_ray_eq_3pis2, p_ray_eq_pi, p_ray_eq_pis2, p_ray_pole, p_xi_surf, and set_der_0x0().

◆ del_hydro_euler()

void Lorene::Etoile::del_hydro_euler ( )

protectedvirtual

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

Reimplemented in Lorene::Et_rot_bifluid, Lorene::Et_rot_mag, Lorene::Etoile_bin, and Lorene::Etoile_rot.

Definition at line 410 of file etoile.C.

References del_deriv(), ener_euler, gam_euler, s_euler, and u_euler.

◆ equation_of_state()

void Lorene::Etoile::equation_of_state ( )

virtual

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

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

Definition at line 566 of file etoile.C.

References Lorene::Param::add_int(), Lorene::Cmp::allocate_all(), del_deriv(), ener, ent, eos, Lorene::Mg3d::get_grille3d(), Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nr(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_nzone(), mp, nbar, nzet, press, Lorene::Cmp::set(), Lorene::Mtbl::set(), Lorene::Mtbl::set_etat_qcq(), Lorene::Tbl::set_etat_qcq(), Lorene::Cmp::std_base_scal(), Lorene::Mtbl::t, and Lorene::Grille3d::x.

◆ equil_spher_falloff()

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

virtual

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 57 of file etoile_eqsph_falloff.C.

References a_car, beta_auto, Lorene::diffrel(), Lorene::Cmp::dsdr(), Lorene::Map_af::dsdr(), ener, ener_euler, ent, equation_of_state(), Lorene::exp(), gam_euler, Lorene::Mg3d::get_nr(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_nzone(), Lorene::Map_af::homothetie(), logn_auto, mass_b(), mass_g(), mp, nbar, nnn, Lorene::norme(), nzet, press, relativistic, s_euler, Lorene::Tenseur::set(), Lorene::Tenseur::set_etat_qcq(), Lorene::Tenseur::set_std_base(), shift, Lorene::sqrt(), u_euler, and unsurc2.

◆ equil_spher_regular()

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

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 115 of file et_equil_spher_regu.C.

References a_car, beta_auto, d_logn_auto_div, Lorene::diffrel(), Lorene::Map_af::dsdr(), ener, ener_euler, ent, eos, equation_of_state(), Lorene::exp(), gam_euler, Lorene::Mg3d::get_nr(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_nzone(), Lorene::Map_af::homothetie(), k_div, logn_auto, logn_auto_div, logn_auto_regu, mass_b(), mass_g(), mp, nbar, nnn, Lorene::norme(), nzet, Lorene::Map_af::poisson(), Lorene::Map_af::poisson_regular(), press, relativistic, s_euler, Lorene::Tenseur::set(), Lorene::Tenseur::set_etat_qcq(), Lorene::Tenseur::set_std_base(), shift, Lorene::sqrt(), Lorene::Cmp::std_base_scal(), u_euler, and unsurc2.

◆ equilibrium_spher()

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

virtual

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 87 of file etoile_equil_spher.C.

References a_car, Lorene::Map_et::adapt(), Lorene::Param::add_double(), Lorene::Param::add_int(), Lorene::Param::add_int_mod(), Lorene::Param::add_tbl(), beta_auto, Lorene::diffrel(), Lorene::Cmp::dsdr(), Lorene::Map_af::dsdr(), ener, ener_euler, ent, equation_of_state(), Lorene::exp(), gam_euler, Lorene::Map_af::get_alpha(), Lorene::Map_et::get_alpha(), Lorene::Map_af::get_beta(), Lorene::Map_et::get_beta(), get_ent(), Lorene::Mg3d::get_nr(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_nzone(), get_press(), Lorene::Map_af::homothetie(), logn_auto, mass_b(), mass_g(), mp, nbar, nnn, Lorene::norme(), nzet, Lorene::Map_af::poisson(), press, relativistic, s_euler, Lorene::Tenseur::set(), Lorene::Map_af::set_alpha(), Lorene::Map_af::set_beta(), Lorene::Tenseur::set_etat_qcq(), Lorene::Tenseur::set_std_base(), shift, Lorene::sqrt(), u_euler, and unsurc2.

◆ get_a_car()

const Tenseur & Lorene::Etoile::get_a_car ( ) const

inline

Returns the total conformal factor $A^2$ .

Definition at line 733 of file etoile.h.

References a_car.

◆ get_beta_auto()

const Tenseur & Lorene::Etoile::get_beta_auto ( ) const

inline

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

Definition at line 724 of file etoile.h.

References beta_auto.

◆ get_d_logn_auto_div()

const Tenseur & Lorene::Etoile::get_d_logn_auto_div ( ) const

inline

Returns the gradient of logn_auto_div.

Definition at line 719 of file etoile.h.

References d_logn_auto_div.

◆ get_ener()

const Tenseur & Lorene::Etoile::get_ener ( ) const

inline

Returns the proper total energy density.

Definition at line 679 of file etoile.h.

References ener.

◆ get_ener_euler()

const Tenseur & Lorene::Etoile::get_ener_euler ( ) const

inline

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

Definition at line 685 of file etoile.h.

References ener_euler.

◆ get_ent()

const Tenseur & Lorene::Etoile::get_ent ( ) const

inline

Returns the enthalpy field.

Definition at line 673 of file etoile.h.

References ent.

◆ get_eos()

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

inline

Returns the equation of state.

Definition at line 670 of file etoile.h.

References eos.

◆ get_gam_euler()

const Tenseur & Lorene::Etoile::get_gam_euler ( ) const

inline

Returns the Lorentz factor between the fluid and Eulerian observers.

Definition at line 691 of file etoile.h.

References gam_euler.

◆ get_logn_auto()

const Tenseur & Lorene::Etoile::get_logn_auto ( ) const

inline

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 $c^2$ ).

Definition at line 701 of file etoile.h.

References logn_auto.

◆ get_logn_auto_div()

const Tenseur & Lorene::Etoile::get_logn_auto_div ( ) const

inline

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 $c^2$ ).

Definition at line 715 of file etoile.h.

References logn_auto_div.

◆ get_logn_auto_regu()

const Tenseur & Lorene::Etoile::get_logn_auto_regu ( ) const

inline

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 $c^2$ ).

Definition at line 708 of file etoile.h.

References logn_auto_regu.

◆ get_mp()

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

inline

Returns the mapping.

Definition at line 659 of file etoile.h.

References Lorene::Map(), and mp.

◆ get_nbar()

const Tenseur & Lorene::Etoile::get_nbar ( ) const

inline

Returns the proper baryon density.

Definition at line 676 of file etoile.h.

References nbar.

◆ get_nnn()

const Tenseur & Lorene::Etoile::get_nnn ( ) const

inline

Returns the total lapse function N.

Definition at line 727 of file etoile.h.

References nnn.

◆ get_nzet()

int Lorene::Etoile::get_nzet ( ) const

inline

Returns the number of domains occupied by the star.

Definition at line 662 of file etoile.h.

References nzet.

◆ get_press()

const Tenseur & Lorene::Etoile::get_press ( ) const

inline

Returns the fluid pressure.

Definition at line 682 of file etoile.h.

References press.

◆ get_s_euler()

const Tenseur & Lorene::Etoile::get_s_euler ( ) const

inline

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

Definition at line 688 of file etoile.h.

References s_euler.

◆ get_shift()

const Tenseur & Lorene::Etoile::get_shift ( ) const

inline

Returns the total shift vector $N^i$ .

Definition at line 730 of file etoile.h.

References shift.

◆ get_u_euler()

const Tenseur & Lorene::Etoile::get_u_euler ( ) const

inline

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

Definition at line 694 of file etoile.h.

References u_euler.

◆ hydro_euler()

void Lorene::Etoile::hydro_euler ( )

virtual

Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid frame (nbar , ener and press ).

Reimplemented in Lorene::Et_rot_bifluid, Lorene::Et_rot_diff, Lorene::Etoile_bin, and Lorene::Etoile_rot.

Definition at line 684 of file etoile.C.

◆ is_relativistic()

bool Lorene::Etoile::is_relativistic ( ) const

inline

Returns true for a relativistic star, false for a Newtonian one.

Definition at line 667 of file etoile.h.

References relativistic.

◆ l_surf()

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

virtual

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::Et_rot_bifluid, and Lorene::Etoile_rot.

Definition at line 75 of file etoile_global.C.

References ent, mp, nzet, p_l_surf, and p_xi_surf.

◆ mass_b()

double Lorene::Etoile::mass_b ( ) const

virtual

Baryon mass.

Reimplemented in Lorene::Et_rot_bifluid, Lorene::Etoile_bin, and Lorene::Etoile_rot.

Definition at line 525 of file etoile_global.C.

References Lorene::integrale(), nbar, p_mass_b, and relativistic.

◆ mass_g()

double Lorene::Etoile::mass_g ( ) const

virtual

Gravitational mass.

Reimplemented in Lorene::Et_magnetisation, Lorene::Et_rot_bifluid, Lorene::Et_rot_mag, Lorene::Etoile_bin, and Lorene::Etoile_rot.

Definition at line 551 of file etoile_global.C.

References mass_b(), p_mass_g, and relativistic.

◆ operator=()

void Lorene::Etoile::operator= ( const Etoile & et )

Assignment to another Etoile.

Definition at line 430 of file etoile.C.

References a_car, beta_auto, d_logn_auto_div, del_deriv(), ener, ener_euler, ent, eos, Etoile(), gam_euler, k_div, logn_auto, logn_auto_div, logn_auto_regu, mp, nbar, nnn, nzet, press, relativistic, s_euler, shift, u_euler, and unsurc2.

◆ operator>>()

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

protectedvirtual

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

Reimplemented in Lorene::Et_bin_nsbh, Lorene::Et_magnetisation, Lorene::Et_rot_bifluid, Lorene::Et_rot_diff, Lorene::Et_rot_mag, Lorene::Etoile_bin, and Lorene::Etoile_rot.

Definition at line 511 of file etoile.C.

References a_car, ener, ent, eos, k_div, mass_b(), mass_g(), nbar, nnn, nzet, press, ray_eq(), ray_eq_pi(), ray_eq_pis2(), ray_pole(), and relativistic.

◆ ray_eq() [1/2]

double Lorene::Etoile::ray_eq ( ) const

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

Definition at line 120 of file etoile_global.C.

References Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_type_p(), Lorene::Mg3d::get_type_t(), l_surf(), mp, p_ray_eq, Lorene::phi, and xi_surf().

◆ ray_eq() [2/2]

double Lorene::Etoile::ray_eq ( int kk ) const

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

Definition at line 440 of file etoile_global.C.

References Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_type_p(), Lorene::Mg3d::get_type_t(), l_surf(), mp, Lorene::phi, and xi_surf().

◆ ray_eq_3pis2()

double Lorene::Etoile::ray_eq_3pis2 ( ) const

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

Definition at line 335 of file etoile_global.C.

References Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_type_p(), Lorene::Mg3d::get_type_t(), l_surf(), mp, p_ray_eq_3pis2, Lorene::phi, ray_eq_pis2(), and xi_surf().

◆ ray_eq_pi()

double Lorene::Etoile::ray_eq_pi ( ) const

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

Definition at line 256 of file etoile_global.C.

References Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_type_p(), Lorene::Mg3d::get_type_t(), l_surf(), mp, p_ray_eq_pi, Lorene::phi, ray_eq(), and xi_surf().

◆ ray_eq_pis2()

double Lorene::Etoile::ray_eq_pis2 ( ) const

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

Definition at line 169 of file etoile_global.C.

References Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_type_p(), Lorene::Mg3d::get_type_t(), l_surf(), mp, p_ray_eq_pis2, Lorene::phi, and xi_surf().

◆ ray_pole()

double Lorene::Etoile::ray_pole ( ) const

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

Definition at line 415 of file etoile_global.C.

References Lorene::Mg3d::get_type_t(), l_surf(), mp, p_ray_pole, Lorene::phi, and xi_surf().

◆ sauve()

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

virtual

Save in a file.

Reimplemented in Lorene::Et_bin_bhns_extr, Lorene::Et_bin_nsbh, Lorene::Et_magnetisation, Lorene::Et_rot_bifluid, Lorene::Et_rot_diff, Lorene::Et_rot_mag, Lorene::Etoile_bin, and Lorene::Etoile_rot.

Definition at line 483 of file etoile.C.

References beta_auto, d_logn_auto_div, ent, eos, Lorene::fwrite_be(), k_div, logn_auto, logn_auto_div, nzet, and relativistic.

◆ set_der_0x0()

void Lorene::Etoile::set_der_0x0 ( ) const

protectedvirtual

Sets to 0x0 all the pointers on derived quantities.

Reimplemented in Lorene::Et_rot_bifluid, Lorene::Et_rot_mag, Lorene::Etoile_bin, and Lorene::Etoile_rot.

Definition at line 396 of file etoile.C.

References p_l_surf, p_mass_b, p_mass_g, p_ray_eq, p_ray_eq_3pis2, p_ray_eq_pi, p_ray_eq_pis2, p_ray_pole, and p_xi_surf.

◆ set_enthalpy()

void Lorene::Etoile::set_enthalpy ( const Cmp & ent_i )

Assignment of the enthalpy field.

Definition at line 465 of file etoile.C.

References del_deriv(), ent, and equation_of_state().

◆ set_mp()

Map & Lorene::Etoile::set_mp ( )

inline

Read/write of the mapping.

Definition at line 601 of file etoile.h.

References Lorene::Map(), and mp.

◆ xi_surf()

const Tbl & Lorene::Etoile::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 $(\theta', \phi')$ .

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

Definition at line 101 of file etoile_global.C.

References l_surf(), p_l_surf, and p_xi_surf.

◆ operator<<

ostream & operator<<	(	ostream &	ost,
		const Etoile &	et )

friend

Display.

Definition at line 506 of file etoile.C.

References Etoile(), and operator<<.

Member Data Documentation

◆ a_car

Tenseur Lorene::Etoile::a_car

protected

Total conformal factor $A^2$ .

Definition at line 515 of file etoile.h.

◆ beta_auto

Tenseur Lorene::Etoile::beta_auto

protected

Logarithm of the part of the product AN generated principaly by by the star.

Definition at line 506 of file etoile.h.

◆ d_logn_auto_div

Tenseur Lorene::Etoile::d_logn_auto_div

protected

Gradient of logn_auto_div (if k_div!=0 ).

Definition at line 501 of file etoile.h.

◆ ener

Tenseur Lorene::Etoile::ener

protected

Total energy density in the fluid frame.

Definition at line 460 of file etoile.h.

◆ ener_euler

Tenseur Lorene::Etoile::ener_euler

protected

Total energy density in the Eulerian frame.

Definition at line 465 of file etoile.h.

◆ ent

Tenseur Lorene::Etoile::ent

protected

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

Definition at line 457 of file etoile.h.

◆ eos

const Eos& Lorene::Etoile::eos

protected

Equation of state of the stellar matter.

Definition at line 451 of file etoile.h.

◆ gam_euler

Tenseur Lorene::Etoile::gam_euler

protected

Lorentz factor between the fluid and Eulerian observers.

Definition at line 471 of file etoile.h.

◆ k_div

int Lorene::Etoile::k_div

protected

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.

◆ logn_auto

Tenseur Lorene::Etoile::logn_auto

protected

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 $c^2$ ).

Definition at line 484 of file etoile.h.

◆ logn_auto_div

Tenseur Lorene::Etoile::logn_auto_div

protected

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.

◆ logn_auto_regu

Tenseur Lorene::Etoile::logn_auto_regu

protected

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 $c^2$ ).

Definition at line 491 of file etoile.h.

◆ mp

Map& Lorene::Etoile::mp

protected

Mapping associated with the star.

Definition at line 429 of file etoile.h.

◆ nbar

Tenseur Lorene::Etoile::nbar

protected

Baryon density in the fluid frame.

Definition at line 459 of file etoile.h.

◆ nnn

Tenseur Lorene::Etoile::nnn

protected

Total lapse function.

Definition at line 509 of file etoile.h.

◆ nzet

int Lorene::Etoile::nzet

protected

Number of domains of *mp occupied by the star.

Definition at line 432 of file etoile.h.

◆ p_l_surf

Itbl* Lorene::Etoile::p_l_surf

mutableprotected

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 539 of file etoile.h.

◆ p_mass_b

double* Lorene::Etoile::p_mass_b

mutableprotected

Baryon mass.

Definition at line 547 of file etoile.h.

◆ p_mass_g

double* Lorene::Etoile::p_mass_g

mutableprotected

Gravitational mass.

Definition at line 548 of file etoile.h.

◆ p_ray_eq

double* Lorene::Etoile::p_ray_eq

mutableprotected

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

Definition at line 521 of file etoile.h.

◆ p_ray_eq_3pis2

double* Lorene::Etoile::p_ray_eq_3pis2

mutableprotected

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

Definition at line 530 of file etoile.h.

◆ p_ray_eq_pi

double* Lorene::Etoile::p_ray_eq_pi

mutableprotected

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

Definition at line 527 of file etoile.h.

◆ p_ray_eq_pis2

double* Lorene::Etoile::p_ray_eq_pis2

mutableprotected

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

Definition at line 524 of file etoile.h.

◆ p_ray_pole

double* Lorene::Etoile::p_ray_pole

mutableprotected

Coordinate radius at $\theta=0$ .

Definition at line 533 of file etoile.h.

◆ p_xi_surf

Tbl* Lorene::Etoile::p_xi_surf

mutableprotected

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 545 of file etoile.h.

◆ press

Tenseur Lorene::Etoile::press

protected

Fluid pressure.

Definition at line 461 of file etoile.h.

◆ relativistic

bool Lorene::Etoile::relativistic

protected

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

Definition at line 437 of file etoile.h.

◆ s_euler

Tenseur Lorene::Etoile::s_euler

protected

Trace of the stress tensor in the Eulerian frame.

Definition at line 468 of file etoile.h.

◆ shift

Tenseur Lorene::Etoile::shift

protected

Total shift vector.

Definition at line 512 of file etoile.h.

◆ u_euler

Tenseur Lorene::Etoile::u_euler

protected

Fluid 3-velocity with respect to the Eulerian observer.

Definition at line 474 of file etoile.h.

◆ unsurc2

double Lorene::Etoile::unsurc2

protected

$1/c^2$ : unsurc2=1 for a relativistic star, 0 for a Newtonian one.

Definition at line 442 of file etoile.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

◆ Etoile() [1/3]

◆ Etoile() [2/3]

◆ Etoile() [3/3]

◆ ~Etoile()

Member Function Documentation

◆ del_deriv()

◆ del_hydro_euler()

◆ equation_of_state()

◆ equil_spher_falloff()

◆ equil_spher_regular()

◆ equilibrium_spher()

◆ get_a_car()

◆ get_beta_auto()

◆ get_d_logn_auto_div()

◆ get_ener()

◆ get_ener_euler()

◆ get_ent()

◆ get_eos()

◆ get_gam_euler()

◆ get_logn_auto()

◆ get_logn_auto_div()

◆ get_logn_auto_regu()

◆ get_mp()

◆ get_nbar()

◆ get_nnn()

◆ get_nzet()

◆ get_press()

◆ get_s_euler()

◆ get_shift()

◆ get_u_euler()

◆ hydro_euler()

◆ is_relativistic()

◆ l_surf()

◆ mass_b()

◆ mass_g()

◆ operator=()

◆ operator>>()

◆ ray_eq() [1/2]

◆ ray_eq() [2/2]

◆ ray_eq_3pis2()

◆ ray_eq_pi()

◆ ray_eq_pis2()

◆ ray_pole()

◆ sauve()

◆ set_der_0x0()

◆ set_enthalpy()

◆ set_mp()

◆ xi_surf()

Friends And Related Symbol Documentation

◆ operator<<

Member Data Documentation

◆ a_car

◆ beta_auto

◆ d_logn_auto_div

◆ ener

◆ ener_euler

◆ ent

◆ eos

◆ gam_euler

◆ k_div

◆ logn_auto

◆ logn_auto_div

◆ logn_auto_regu

◆ mp

◆ nbar

◆ nnn

◆ nzet

◆ p_l_surf

◆ p_mass_b

◆ p_mass_g

◆ p_ray_eq

◆ p_ray_eq_3pis2

◆ p_ray_eq_pi

◆ p_ray_eq_pis2