Star_bin_xcts Class Reference
[Stars and black holes]

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

#include <star.h>

Inheritance diagram for Star_bin_xcts:
Star

List of all members.

Public Member Functions

 Star_bin_xcts (Map &mp_i, int nzet_i, const Eos &eos_i, bool irrot)
 Standard constructor.
 Star_bin_xcts (const Star_bin_xcts &)
 Copy constructor.
 Star_bin_xcts (Map &mp_i, const Eos &eos_i, FILE *fich)
 Constructor from a file (see sauve(FILE* )).
virtual ~Star_bin_xcts ()
 Destructor.
void operator= (const Star_bin_xcts &)
 Assignment to another Star_bin_xcts.
Scalar & set_pot_centri ()
 Read/write the centrifugal potential.
Scalar & set_Psi_auto ()
 Read/write the conformal factor $\Psi_{auto}$.
Scalar & set_Psi_comp ()
 Read/write the conformal factor $\Psi_{comp}$.
Scalar & set_chi_auto ()
 Read/write the conformal factor $\chi_{auto}$.
Scalar & set_chi_comp ()
 Read/write the conformal factor $\chi_{comp}$.
Vector & set_beta_auto ()
 Read/write of $\beta_{auto}$.
Vector & set_beta ()
 Read/write of $\beta$.
bool is_irrotational () const
 Returns true for an irrotational motion, false for a corotating one.
const Scalar & get_psi0 () const
 Returns the non-translational part of the velocity potential.
const Vector & get_d_psi () const
 Returns the covariant derivative of the velocity potential (Spherical components with respect to the mapping of the star).
const Vector & get_wit_w () const
 Returns the spatial projection of the fluid 3-velocity with respect to the co-orbiting observer.
const Scalar & get_loggam () const
 Returns the logarithm of the Lorentz factor between the fluid and the co-orbiting observer.
const Vector & get_bsn () const
 Returns the shift vector, divided by N, of the rotating coordinates, $\beta^i/N$.
const Scalar & get_pot_centri () const
 Returns the centrifugal potential.
const Vector & get_beta_auto () const
 Returns the part of the shift vector $\beta^i$ generated principally by the star ($\beta^i_{auto}$).
const Vector & get_beta_comp () const
 Returns the part of the shift vector $\beta^i$ generated principally by the companion ($\beta^i_{comp}$).
const Scalar & get_Psi_auto () const
 Returns the scalar field $\Psi_{auto}$ generated principally by the star.
const Scalar & get_Psi_comp () const
 Returns the scalar field $\Psi_{comp}$ generated principally by the companion star.
const Scalar & get_chi_auto () const
 Returns the scalar field $\chi_{auto} = (N\Psi)_{auto}$ generated principally by the star.
const Scalar & get_chi_comp () const
 Returns the scalar field $\chi_{comp} = (N\Psi)_{comp}$ generated principally by the companion star.
const Vector & get_dcov_chi () const
 Returns the covariant derivative of $\chi$.
const Vector & get_dcov_Psi () const
 Returns the covariant derivative of the conformal factor $\Psi$.
const Scalar & get_Psi () const
 Return the conformal factor $\Psi$.
const Scalar & get_chi () const
 Return the function $\chi$.
const Scalar & get_psi4 () const
 Return the conformal factor $\Psi^4$.
const Metric & get_flat () const
 Return the flat metric defined on the mapping (Spherical components with respect to the mapping of the star).
const Sym_tensor & get_haij_auto () const
 Returns the part of the extrinsic curvature tensor $\hat{A}^{ij}$ generated by beta_auto.
const Sym_tensor & get_haij_comp () const
 Returns the part of the extrinsic curvature tensor $\hat{A}^{ij}$ generated by beta_comp.
const Scalar & get_hacar_auto () const
 Returns the part of $\hat{A}^{ij}\hat{A}_{ij}$ generated by beta_auto.
const Scalar & get_hacar_comp () const
 Returns the part of $\hat{A}^{ij}\hat{A}_{ij}$ generated by beta_comp.
virtual void sauve (FILE *) const
 Save in a file.
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,.
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 Star_bin_xcts &comp)
 Computes metric coefficients from known potentials, when the companion is another star.
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.
void update_metric_der_comp (const Star_bin_xcts &comp)
 Computes the derivative of metric functions related to the companion star.
void kinematics (double omega, double x_axe)
 Computes the quantities bsn and pot_centri.
void fait_d_psi ()
 Computes the gradient of the total velocity potential $\psi$.
void extrinsic_curvature ()
 Computes haij_auto and hacar_auto from beta_auto, nn and Psi .
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.
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.
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.
Map & set_mp ()
 Read/write of the mapping.
void set_enthalpy (const Scalar &)
 Assignment of the enthalpy field.
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 *pent_limit=0x0)
 Computes a spherical static configuration.
const Map & get_mp () const
 Returns the mapping.
int get_nzet () const
 Returns the number of domains occupied by the star.
const Eos & get_eos () const
 Returns the equation of state.
const Scalar & get_ent () const
 Returns the enthalpy field.
const Scalar & get_nbar () const
 Returns the proper baryon density.
const Scalar & get_ener () const
 Returns the proper total energy density.
const Scalar & get_press () const
 Returns the fluid pressure.
const Scalar & get_ener_euler () const
 Returns the total energy density with respect to the Eulerian observer.
const Scalar & get_s_euler () const
 Returns the trace of the stress tensor in the Eulerian frame.
const Scalar & get_gam_euler () const
 Returns the Lorentz factor between the fluid and Eulerian observers.
const Vector & get_u_euler () const
 Returns the fluid 3-velocity with respect to the Eulerian observer.
const Tensor & get_stress_euler () const
 Returns the spatial part of the stress-energy tensor with respect to the Eulerian observer.
const Scalar & get_logn () const
 Returns the logarithm of the lapse N.
const Scalar & get_nn () const
 Returns the lapse function N.
const Vector & get_beta () const
 Returns the shift vector $\beta^i$.
const Scalar & get_lnq () const
const Metric & get_gamma () const
 Returns the 3-metric $\gamma$.
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].
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 $(\theta', \phi')$.

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

bool irrotational
 true for an irrotational star, false for a corotating one
Scalar psi0
 Scalar potential $\Psi_0$ of the non-translational part of fluid 4-velocity (in the irrotational case).
Vector d_psi
 Gradient of $\Psi$ (in the irrotational case) (Spherical components with respect to the mapping of the star).
Vector wit_w
 Spatial projection of the fluid 3-velocity with respect to the co-orbiting observer.
Scalar loggam
 Logarithm of the Lorentz factor between the fluid and the co-orbiting observer.
Vector bsn
 3-vector shift, divided by N, of the rotating coordinates, $\beta^i/N$.
Scalar pot_centri
 Centrifugal potential.
Scalar chi_auto
 Scalar field $ \chi_{auto} = (N\Psi)_{auto} $ generated principally by the star.
Scalar chi_comp
 Scalar field $ \chi_{comp} = (N\Psi)_{comp} $ generated principally by the companion star.
Scalar Psi_auto
 Scalar field $\Psi_{auto}$ generated principally by the star.
Scalar Psi_comp
 Scalar field $\Psi_{comp}$ generated principally by the companion star.
Scalar Psi
 Total conformal factor $\Psi$.
Scalar chi
 Total function $\chi$.
Scalar psi4
 Conformal factor $\psi^4$.
Vector w_beta
 Solution for the vector part of the vector Poisson equation for $\beta^i$.
Scalar khi
 Solution for the scalar part of the vector Poisson equation for $\beta^i$.
Vector dcov_Psi
 Covariant derivative of the conformal factor $\Psi$.
Vector dcov_chi
 Covariant derivative of the function $\chi$.
Metric_flat flat
 Flat metric defined on the mapping (Spherical components with respect to the mapping of the star) .
Vector beta_auto
 Part of the shift vector generated principally by the star (Spherical components with respect to the mapping of the star).
Vector beta_comp
 Part of the shift vector generated principally by the star (Spherical components with respect to the mapping of the star).
Sym_tensor haij_auto
 Part of the extrinsic curvature tensor $\hat{A}^{ij}$ generated by beta_auto.
Sym_tensor haij_comp
 Part of the extrinsic curvature tensor $\hat{A}^{ij}$ generated by beta_comp.
Scalar hacar_auto
 Part of the scalar $\hat{A}_{ij}\hat{A}^{ij}$ generated by beta_auto, i.e.
Scalar hacar_comp
 Part of the scalar $\hat{A}_{ij}\hat{A}^{ij}$ generated by beta_auto and beta_comp, i.e.
Scalar ssjm1_chi
 Effective source at the previous step for the resolution of the Poisson equation for .
Scalar ssjm1_psi
 Effective source at the previous step for the resolution of the Poisson equation for .
Scalar ssjm1_khi
 Effective source at the previous step for the resolution of the Poisson equation for khi.
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 $\beta^i$).
double * p_xa_barycenter
 Absolute coordinate X of the barycenter of the baryon density.
Map & mp
 Mapping associated with the star.
int nzet
 Number of domains of *mp occupied by the star.
const Eos & eos
 Equation of state of the stellar matter.
Scalar ent
 Log-enthalpy.
Scalar nbar
 Baryon density in the fluid frame.
Scalar ener
 Total energy density in the fluid frame.
Scalar press
 Fluid pressure.
Scalar ener_euler
 Total energy density in the Eulerian frame.
Scalar s_euler
 Trace of the stress scalar in the Eulerian frame.
Scalar gam_euler
 Lorentz factor between the fluid and Eulerian observers.
Vector u_euler
 Fluid 3-velocity with respect to the Eulerian observer.
Sym_tensor stress_euler
 Spatial part of the stress-energy tensor with respect to the Eulerian observer.
Scalar logn
 Logarithm of the lapse N .
Scalar nn
 Lapse function N .
Vector beta
 Shift vector.
Scalar lnq
Metric gamma
 3-metric
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

class Binary_xcts
ostream & operator<< (ostream &, const Star &)
 Display.

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 1087 of file star.h.

Constructor & Destructor Documentation

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 77 of file star_bin_xcts.C.

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

Star_bin_xcts::Star_bin_xcts ( const Star_bin_xcts &  star  ) 

Copy constructor.

Definition at line 161 of file star_bin_xcts.C.

References set_der_0x0().

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 199 of file star_bin_xcts.C.

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

Star_bin_xcts::~Star_bin_xcts (  )  [virtual]

Destructor.

Definition at line 290 of file star_bin_xcts.C.

References del_deriv().

Member Function Documentation

void Star_bin_xcts::del_deriv (  )  const [protected, virtual]

Deletes all the derived quantities.

Reimplemented from Star.

Definition at line 300 of file star_bin_xcts.C.

References p_xa_barycenter, and set_der_0x0().

void Star_bin_xcts::del_hydro_euler (  )  [protected, virtual]

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

Reimplemented from Star.

Definition at line 317 of file star_bin_xcts.C.

References del_deriv().

void Star::equation_of_state (  )  [inherited]

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

Reimplemented in Gravastar.

Definition at line 458 of file star.C.

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

void 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 87 of file star_bin_equilibrium_xcts.C.

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

void Star::equilibrium_spher ( double  ent_c,
double  precis = 1.e-14,
const Tbl *  pent_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 91 of file star_equil_spher.C.

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

void Star_bin_xcts::extrinsic_curvature (  ) 

Computes haij_auto and hacar_auto from beta_auto, nn and Psi .

Definition at line 51 of file star_bin_extr_curv_xcts.C.

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

void Star_bin_xcts::fait_d_psi (  ) 

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

Definition at line 627 of file star_bin_xcts.C.

References Tensor::annule(), Scalar::annule_hard(), bsn, Vector::change_triad(), d_psi, Scalar::derive_cov(), Star::ent, exp(), flat, Star::gam_euler, Map::get_bvect_cart(), Map::get_mg(), Mg3d::get_nzone(), irrotational, Star::mp, Star::nzet, psi0, psi4, Vector::set(), Tensor::set(), Valeur::set_base(), Tensor::set_etat_nondef(), Vector::std_spectral_base(), and Cmp::va.

const Vector& Star::get_beta (  )  const [inline, inherited]

Returns the shift vector $\beta^i$.

Definition at line 398 of file star.h.

References Star::beta.

const Vector& 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 1347 of file star.h.

References beta_auto.

const Vector& 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 1353 of file star.h.

References beta_comp.

const Vector& 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 1338 of file star.h.

References bsn.

const Scalar& Star_bin_xcts::get_chi (  )  const [inline]

Return the function $\chi$.

Definition at line 1388 of file star.h.

References chi.

const Scalar& 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 1368 of file star.h.

References chi_auto.

const Scalar& 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 1373 of file star.h.

References chi_comp.

const Vector& 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 1321 of file star.h.

References d_psi.

const Vector& Star_bin_xcts::get_dcov_chi (  )  const [inline]

Returns the covariant derivative of $\chi$.

Definition at line 1377 of file star.h.

References dcov_chi.

const Vector& Star_bin_xcts::get_dcov_Psi (  )  const [inline]

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

Definition at line 1382 of file star.h.

References dcov_Psi.

const Scalar& Star::get_ener (  )  const [inline, inherited]

Returns the proper total energy density.

Definition at line 366 of file star.h.

References Star::ener.

const Scalar& Star::get_ener_euler (  )  const [inline, inherited]

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

Definition at line 372 of file star.h.

References Star::ener_euler.

const Scalar& Star::get_ent (  )  const [inline, inherited]

Returns the enthalpy field.

Definition at line 360 of file star.h.

References Star::ent.

const Eos& Star::get_eos (  )  const [inline, inherited]

Returns the equation of state.

Definition at line 357 of file star.h.

References Star::eos.

const Metric& 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 1396 of file star.h.

References flat.

const Scalar& Star::get_gam_euler (  )  const [inline, inherited]

Returns the Lorentz factor between the fluid and Eulerian observers.

Definition at line 378 of file star.h.

References Star::gam_euler.

const Metric& Star::get_gamma (  )  const [inline, inherited]

Returns the 3-metric $\gamma$.

Definition at line 405 of file star.h.

References Star::gamma.

const Scalar& 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 1413 of file star.h.

References hacar_auto.

const Scalar& 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 1418 of file star.h.

References hacar_comp.

const Sym_tensor& 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 1402 of file star.h.

References haij_auto.

const Sym_tensor& 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 1408 of file star.h.

References haij_comp.

const Scalar& 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 1332 of file star.h.

References loggam.

const Scalar& Star::get_logn (  )  const [inline, inherited]

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 392 of file star.h.

References Star::logn.

const Map& Star::get_mp (  )  const [inline, inherited]

Returns the mapping.

Definition at line 351 of file star.h.

References Star::mp.

const Scalar& Star::get_nbar (  )  const [inline, inherited]

Returns the proper baryon density.

Definition at line 363 of file star.h.

References Star::nbar.

const Scalar& Star::get_nn (  )  const [inline, inherited]

Returns the lapse function N.

Definition at line 395 of file star.h.

References Star::nn.

int Star::get_nzet (  )  const [inline, inherited]

Returns the number of domains occupied by the star.

Definition at line 354 of file star.h.

References Star::nzet.

const Scalar& Star_bin_xcts::get_pot_centri (  )  const [inline]

Returns the centrifugal potential.

Definition at line 1341 of file star.h.

References pot_centri.

const Scalar& Star::get_press (  )  const [inline, inherited]

Returns the fluid pressure.

Definition at line 369 of file star.h.

References Star::press.

const Scalar& Star_bin_xcts::get_Psi (  )  const [inline]

Return the conformal factor $\Psi$.

Definition at line 1385 of file star.h.

References Psi.

const Scalar& Star_bin_xcts::get_psi0 (  )  const [inline]

Returns the non-translational part of the velocity potential.

Definition at line 1316 of file star.h.

References psi0.

const Scalar& Star_bin_xcts::get_psi4 (  )  const [inline]

Return the conformal factor $\Psi^4$.

Definition at line 1391 of file star.h.

References psi4.

const Scalar& Star_bin_xcts::get_Psi_auto (  )  const [inline]

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

Definition at line 1358 of file star.h.

References Psi_auto.

const Scalar& Star_bin_xcts::get_Psi_comp (  )  const [inline]

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

Definition at line 1363 of file star.h.

References Psi_comp.

const Scalar& Star::get_s_euler (  )  const [inline, inherited]

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

Definition at line 375 of file star.h.

References Star::s_euler.

const Tensor& Star::get_stress_euler (  )  const [inline, inherited]

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

Definition at line 386 of file star.h.

References Star::stress_euler.

const Vector& Star::get_u_euler (  )  const [inline, inherited]

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

Definition at line 381 of file star.h.

References Star::u_euler.

const Vector& 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 1327 of file star.h.

References wit_w.

void 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 Star.

Definition at line 45 of file star_bin_hydro_xcts.C.

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

bool Star_bin_xcts::is_irrotational (  )  const [inline]

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

Definition at line 1313 of file star.h.

References irrotational.

void 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 55 of file star_bin_kinema_xcts.C.

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

const Itbl & Star::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 $(\theta', \phi')$.

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

Reimplemented in Star_rot.

Definition at line 59 of file star_global.C.

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

double Star_bin_xcts::mass_b (  )  const [virtual]

Baryon mass.

Implements Star.

Definition at line 46 of file star_bin_global_xcts.C.

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

double Star_bin_xcts::mass_g (  )  const [virtual]

Gravitational mass.

Implements Star.

Definition at line 70 of file star_bin_global_xcts.C.

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

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

Assignment to another Star_bin_xcts.

Reimplemented from Star.

Definition at line 332 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, pot_centri, Psi, psi0, psi4, Psi_auto, Psi_comp, ssjm1_chi, ssjm1_khi, ssjm1_psi, ssjm1_wbeta, w_beta, and wit_w.

ostream & Star_bin_xcts::operator>> ( ostream &  ost  )  const [protected, virtual]

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

Reimplemented from Star.

Definition at line 459 of file star_bin_xcts.C.

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

double Star::ray_eq (  )  const [inherited]

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

Definition at line 104 of file star_global.C.

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

double Star::ray_eq_3pis2 (  )  const [inherited]

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

Definition at line 229 of file star_global.C.

References Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Mg3d::get_type_p(), Mg3d::get_type_t(), Star::l_surf(), Star::mp, Star::p_ray_eq_3pis2, Star::ray_eq_pis2(), Map::val_r(), and Star::xi_surf().

double Star::ray_eq_pi (  )  const [inherited]

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

Definition at line 182 of file star_global.C.

References Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Mg3d::get_type_p(), Mg3d::get_type_t(), Star::l_surf(), Star::mp, Star::p_ray_eq_pi, Star::ray_eq(), Map::val_r(), and Star::xi_surf().

double Star::ray_eq_pis2 (  )  const [inherited]

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

Definition at line 134 of file star_global.C.

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

double Star::ray_pole (  )  const [inherited]

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

Definition at line 274 of file star_global.C.

References Map::get_mg(), Mg3d::get_type_t(), Star::l_surf(), Star::mp, Star::p_ray_pole, Map::val_r(), and Star::xi_surf().

void 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 685 of file star_bin_xcts.C.

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

void Star_bin_xcts::sauve ( FILE *  fich  )  const [virtual]

Save in a file.

Reimplemented from Star.

Definition at line 428 of file star_bin_xcts.C.

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

Vector & Star_bin_xcts::set_beta (  ) 

Read/write of $\beta$.

Definition at line 414 of file star_bin_xcts.C.

References Star::beta, and del_deriv().

Vector & Star_bin_xcts::set_beta_auto (  ) 

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

Definition at line 407 of file star_bin_xcts.C.

References beta_auto, and del_deriv().

Scalar & Star_bin_xcts::set_chi_auto (  ) 

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

Definition at line 400 of file star_bin_xcts.C.

References chi_auto, and del_deriv().

Scalar & Star_bin_xcts::set_chi_comp (  ) 

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

Definition at line 393 of file star_bin_xcts.C.

References chi_comp, and del_deriv().

void Star_bin_xcts::set_der_0x0 (  )  const [protected, virtual]

Sets to 0x0 all the pointers on derived quantities.

Reimplemented from Star.

Definition at line 309 of file star_bin_xcts.C.

References p_xa_barycenter.

void Star::set_enthalpy ( const Scalar &  ent_i  )  [inherited]

Assignment of the enthalpy field.

Definition at line 375 of file star.C.

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

Map& Star::set_mp (  )  [inline, inherited]

Read/write of the mapping.

Definition at line 318 of file star.h.

References Star::mp.

Scalar & Star_bin_xcts::set_pot_centri (  ) 

Read/write the centrifugal potential.

Definition at line 372 of file star_bin_xcts.C.

References del_deriv(), and pot_centri.

Scalar & Star_bin_xcts::set_Psi_auto (  ) 

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

Definition at line 386 of file star_bin_xcts.C.

References del_deriv(), and Psi_auto.

Scalar & Star_bin_xcts::set_Psi_comp (  ) 

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

Definition at line 379 of file star_bin_xcts.C.

References del_deriv(), and Psi_comp.

void 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 148 of file star_bin_upmetr_xcts.C.

References Star::beta, beta_auto, beta_comp, Vector::change_triad(), chi, chi_auto, chi_comp, Metric_flat::con(), del_deriv(), extrinsic_curvature(), flat, Star::gamma, Map::get_bvect_cart(), Tensor::get_triad(), Scalar::import(), log(), Star::logn, Star::mp, Star::nn, pow(), Psi, psi4, Psi_auto, Psi_comp, Vector::set(), Tensor::set_etat_qcq(), Scalar::set_etat_qcq(), Scalar::set_etat_zero(), Tensor::set_triad(), Vector::std_spectral_base(), and Scalar::std_spectral_base().

void 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 63 of file star_bin_upmetr_xcts.C.

References Star::beta, beta_auto, beta_comp, Vector::change_triad(), chi, chi_auto, chi_comp, Metric_flat::con(), del_deriv(), extrinsic_curvature(), flat, Star::gamma, Map::get_bvect_cart(), Tensor::get_triad(), Scalar::import(), log(), Star::logn, Star::mp, Star::nn, pow(), Psi, psi4, Psi_auto, Psi_comp, Vector::set(), Tensor::set_etat_qcq(), Scalar::set_etat_qcq(), Scalar::set_etat_zero(), Tensor::set_triad(), Vector::std_spectral_base(), and Scalar::std_spectral_base().

void 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 58 of file star_bin_upmetr_der_xcts.C.

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

double 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 66 of file star_bin_vel_pot_xcts.C.

References Param::add_double(), Param::add_int(), Param::add_int_mod(), Tensor::annule(), Scalar::annule(), bsn, Vector::change_triad(), chi, contract(), d_psi, Eos::der_nbar_ent(), Scalar::derive_con(), Scalar::derive_cov(), diffrel(), Star::ent, Star::eos, exp(), flat, Map::flat_met_spher(), Star::gam_euler, Map::get_bvect_cart(), Map::get_bvect_spher(), Scalar::get_etat(), Map::get_mg(), Mg3d::get_nzone(), Tensor::get_triad(), Scalar::laplacian(), log(), Star::mp, norme(), Star::nzet, Map::poisson_compact(), Psi, psi0, psi4, Vector::set(), Cmp::set(), Scalar::set_domain(), Tensor::set_etat_qcq(), Scalar::set_spectral_va(), Tensor::set_triad(), Scalar::std_spectral_base(), Cmp::va, Valeur::ylm(), and Valeur::ylm_i().

double Star_bin_xcts::xa_barycenter (  )  const [virtual]

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

Definition at line 95 of file star_bin_global_xcts.C.

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

const Tbl & 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 85 of file star_global.C.

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

Friends And Related Function Documentation

ostream& operator<< ( ostream &  ,
const Star &   
) [friend, inherited]

Display.

Member Data Documentation

Vector Star::beta [protected, inherited]

Shift vector.

Definition at line 224 of file star.h.

Vector 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 1178 of file star.h.

Vector 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 1183 of file star.h.

Vector 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 1122 of file star.h.

Scalar Star_bin_xcts::chi [protected]

Total function $\chi$.

Definition at line 1151 of file star.h.

Scalar Star_bin_xcts::chi_auto [protected]

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

Definition at line 1130 of file star.h.

Scalar Star_bin_xcts::chi_comp [protected]

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

Definition at line 1135 of file star.h.

Vector 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 1105 of file star.h.

Vector Star_bin_xcts::dcov_chi [protected]

Covariant derivative of the function $\chi$.

Definition at line 1170 of file star.h.

Vector Star_bin_xcts::dcov_Psi [protected]

Covariant derivative of the conformal factor $\Psi$.

Definition at line 1167 of file star.h.

Scalar Star::ener [protected, inherited]

Total energy density in the fluid frame.

Definition at line 189 of file star.h.

Scalar Star::ener_euler [protected, inherited]

Total energy density in the Eulerian frame.

Definition at line 194 of file star.h.

Scalar Star::ent [protected, inherited]

Log-enthalpy.

Definition at line 186 of file star.h.

const Eos& Star::eos [protected, inherited]

Equation of state of the stellar matter.

Definition at line 181 of file star.h.

Metric_flat Star_bin_xcts::flat [protected]

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

Definition at line 1173 of file star.h.

Scalar Star::gam_euler [protected, inherited]

Lorentz factor between the fluid and Eulerian observers.

Definition at line 200 of file star.h.

Metric Star::gamma [protected, inherited]

3-metric

Definition at line 231 of file star.h.

Scalar 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 1201 of file star.h.

Scalar 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 1207 of file star.h.

Sym_tensor 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 1189 of file star.h.

Sym_tensor 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 1195 of file star.h.

bool Star_bin_xcts::irrotational [protected]

true for an irrotational star, false for a corotating one

Definition at line 1095 of file star.h.

Scalar Star_bin_xcts::khi [protected]

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

Definition at line 1164 of file star.h.

Scalar Star_bin_xcts::loggam [protected]

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

Definition at line 1116 of file star.h.

Scalar Star::logn [protected, inherited]

Logarithm of the lapse N .

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

Definition at line 218 of file star.h.

Map& Star::mp [protected, inherited]

Mapping associated with the star.

Definition at line 176 of file star.h.

Scalar Star::nbar [protected, inherited]

Baryon density in the fluid frame.

Definition at line 188 of file star.h.

Scalar Star::nn [protected, inherited]

Lapse function N .

Definition at line 221 of file star.h.

int Star::nzet [protected, inherited]

Number of domains of *mp occupied by the star.

Definition at line 179 of file star.h.

Itbl* Star::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 $(\theta', \phi')$.

Definition at line 256 of file star.h.

double* Star::p_mass_b [mutable, protected, inherited]

Baryon mass.

Definition at line 264 of file star.h.

double* Star::p_mass_g [mutable, protected, inherited]

Gravitational mass.

Definition at line 265 of file star.h.

double* Star::p_ray_eq [mutable, protected, inherited]

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

Definition at line 238 of file star.h.

double* Star::p_ray_eq_3pis2 [mutable, protected, inherited]

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

Definition at line 247 of file star.h.

double* Star::p_ray_eq_pi [mutable, protected, inherited]

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

Definition at line 244 of file star.h.

double* Star::p_ray_eq_pis2 [mutable, protected, inherited]

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

Definition at line 241 of file star.h.

double* Star::p_ray_pole [mutable, protected, inherited]

Coordinate radius at $\theta=0$.

Definition at line 250 of file star.h.

double* Star_bin_xcts::p_xa_barycenter [mutable, protected]

Absolute coordinate X of the barycenter of the baryon density.

Definition at line 1236 of file star.h.

Tbl* Star::p_xi_surf [mutable, protected, inherited]

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 262 of file star.h.

Scalar Star_bin_xcts::pot_centri [protected]

Centrifugal potential.

Definition at line 1125 of file star.h.

Scalar Star::press [protected, inherited]

Fluid pressure.

Definition at line 190 of file star.h.

Scalar Star_bin_xcts::Psi [protected]

Total conformal factor $\Psi$.

Definition at line 1148 of file star.h.

Scalar 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 1100 of file star.h.

Scalar Star_bin_xcts::psi4 [protected]

Conformal factor $\psi^4$.

Definition at line 1154 of file star.h.

Scalar Star_bin_xcts::Psi_auto [protected]

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

Definition at line 1140 of file star.h.

Scalar Star_bin_xcts::Psi_comp [protected]

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

Definition at line 1145 of file star.h.

Scalar Star::s_euler [protected, inherited]

Trace of the stress scalar in the Eulerian frame.

Definition at line 197 of file star.h.

Scalar Star_bin_xcts::ssjm1_chi [protected]

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

Definition at line 1212 of file star.h.

Scalar 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 1223 of file star.h.

Scalar Star_bin_xcts::ssjm1_psi [protected]

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

Definition at line 1217 of file star.h.

Vector 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 1230 of file star.h.

Sym_tensor Star::stress_euler [protected, inherited]

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

Definition at line 208 of file star.h.

Vector Star::u_euler [protected, inherited]

Fluid 3-velocity with respect to the Eulerian observer.

Definition at line 203 of file star.h.

Vector Star_bin_xcts::w_beta [protected]

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

Definition at line 1159 of file star.h.

Vector 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 1111 of file star.h.

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