Class for two-fluid rotating relativistic stars. More...
#include <et_rot_bifluid.h>
Public Member Functions | |
Et_rot_bifluid (Map &mp_i, int nzet_i, bool relat, const Eos_bifluid &eos_i) | |
Standard constructor. | |
Et_rot_bifluid (const Et_rot_bifluid &) | |
Copy constructor. | |
Et_rot_bifluid (Map &mp_i, const Eos_bifluid &eos_i, FILE *fich) | |
Constructor from a file (see sauve(FILE*) ) Works only for relativistic stars. | |
virtual | ~Et_rot_bifluid () |
Destructor. | |
void | operator= (const Et_rot_bifluid &) |
Assignment to another Et_rot_bifluid. | |
void | set_enthalpies (const Cmp &, const Cmp &) |
Sets both enthalpy profiles. | |
void | equilibrium_spher_bi (double ent_c, double ent_c2, double precis=1.e-14) |
Computes a spherical static configuration. | |
void | equil_spher_regular (double ent_c, double ent_c2, double precis=1.e-14) |
Computes a spherical static configuration. | |
const Eos_bifluid & | get_eos () const |
Returns the equation of state. | |
const Tenseur & | get_ent2 () const |
Returns the enthalpy field for fluid 2. | |
const Tenseur & | get_nbar2 () const |
Returns the proper baryon density for fluid 2. | |
const Tenseur & | get_delta_car () const |
Returns the "relative velocity" (squared) of the two fluids. | |
const Tenseur & | get_gam_euler2 () const |
Returns the Lorentz factor between the fluid 2 and Eulerian observers. | |
double | get_omega2 () const |
Returns the rotation angular velocity of fluid 2( [f_unit] ). | |
const Tenseur & | get_uuu2 () const |
Returns the norm of the fluid 2 3-velocity with respect to the eulerian frame. | |
virtual void | sauve (FILE *) const |
Save in a file. | |
virtual ostream & | operator>> (ostream &) const |
Operator >> (virtual function called by the operator <<). | |
virtual void | partial_display (ostream &) const |
Printing of some informations, excluding all global quantities. | |
virtual const Itbl & | l_surf () const |
Description of the surface of fluid 1: returns a 2-D Itbl containing the values of the domain index l on the surface at the collocation points in . | |
const Itbl & | l_surf2 () const |
Description of the surface of fluid 2: returns a 2-D Itbl containing the values of the domain index l on the surface at the collocation points in . | |
const Tbl & | xi_surf2 () const |
Description of the surface of fluid 2: returns a 2-D Tbl containing the values of the radial coordinate on the surface at the collocation points in . | |
double | ray_eq2 () const |
Coordinate radius for fluid 2 at , [r_unit]. | |
double | ray_eq2_pis2 () const |
Coordinate radius for fluid 2 at , [r_unit]. | |
double | ray_eq2_pi () const |
Coordinate radius for fluid 2 at , [r_unit]. | |
double | ray_pole2 () const |
Coordinate radius for fluid 2 at [r_unit]. | |
double | mass_b1 () const |
Baryon mass of fluid 1. | |
double | mass_b2 () const |
Baryon mass of fluid 2. | |
virtual double | mass_b () const |
Total Baryon mass. | |
virtual double | mass_g () const |
Gravitational mass. | |
virtual double | angu_mom () const |
Angular momentum. | |
virtual double | grv2 () const |
Error on the virial identity GRV2. | |
virtual double | grv3 (ostream *ost=0x0) const |
Error on the virial identity GRV3. | |
virtual double | r_circ2 () const |
Circumferential radius for fluid 2. | |
virtual double | aplat2 () const |
Flatening r_pole/r_eq for fluid 2. | |
virtual double | mom_quad () const |
Quadrupole moment. | |
virtual void | hydro_euler () |
Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid frame. | |
virtual void | equation_of_state () |
Computes the proper baryon and energy densities, as well as pressure from the enthalpies and both velocities. | |
void | equilibrium_bi (double ent_c, double ent_c2, double omega0, double omega20, const Tbl &ent_limit, const Tbl &ent2_limit, const Itbl &icontrol, const Tbl &control, Tbl &diff, int mer_mass, double mbar1_wanted, double mbar2_wanted, double aexp_mass) |
Computes an equilibrium configuration. | |
virtual double | get_omega_c () const |
Returns the central value of the rotation angular velocity ( [f_unit] ). | |
const Tenseur & | get_bbb () const |
Returns the metric factor B. | |
const Tenseur & | get_b_car () const |
Returns the square of the metric factor B. | |
const Tenseur & | get_nphi () const |
Returns the metric coefficient . | |
const Tenseur & | get_tnphi () const |
Returns the component of the shift vector. | |
const Tenseur & | get_uuu () const |
Returns the norm of u_euler . | |
const Tenseur & | get_logn () const |
Returns the metric potential = logn_auto . | |
const Tenseur & | get_nuf () const |
Returns the part of the Metric potential = logn generated by the matter terms. | |
const Tenseur & | get_nuq () const |
Returns the Part of the Metric potential = logn generated by the quadratic terms. | |
const Tenseur & | get_dzeta () const |
Returns the Metric potential = beta_auto . | |
const Tenseur & | get_tggg () const |
Returns the Metric potential . | |
const Tenseur & | get_w_shift () const |
Returns the vector used in the decomposition of shift , following Shibata's prescription [Prog. | |
const Tenseur & | get_khi_shift () const |
Returns the scalar used in the decomposition of shift following Shibata's prescription [Prog. | |
const Tenseur_sym & | get_tkij () const |
Returns the tensor related to the extrinsic curvature tensor by . | |
const Tenseur & | get_ak_car () const |
Returns the scalar . | |
virtual void | display_poly (ostream &) const |
Display in polytropic units. | |
virtual double | tsw () const |
Ratio T/W. | |
virtual double | r_circ () const |
Circumferential radius. | |
virtual double | aplat () const |
Flatening r_pole/r_eq. | |
virtual double | z_eqf () const |
Forward redshift factor at equator. | |
virtual double | z_eqb () const |
Backward redshift factor at equator. | |
virtual double | z_pole () const |
Redshift factor at North pole. | |
virtual double | r_isco (ostream *ost=0x0) const |
Circumferential radius of the innermost stable circular orbit (ISCO). | |
virtual double | f_isco () const |
Orbital frequency at the innermost stable circular orbit (ISCO). | |
virtual double | espec_isco () const |
Energy of a particle on the ISCO. | |
virtual double | lspec_isco () const |
Angular momentum of a particle on the ISCO. | |
virtual double | f_eccentric (double ecc, double periast, ostream *ost=0x0) const |
Computation of frequency of eccentric orbits. | |
virtual double | f_eq () const |
Orbital frequency at the equator. | |
void | update_metric () |
Computes metric coefficients from known potentials. | |
void | fait_shift () |
Computes shift from w_shift and khi_shift according to Shibata's prescription [Prog. | |
void | fait_nphi () |
Computes tnphi and nphi from the Cartesian components of the shift, stored in shift . | |
void | extrinsic_curvature () |
Computes tkij and ak_car from shift , nnn and b_car . | |
virtual void | equilibrium (double ent_c, double omega0, double fact_omega, int nzadapt, const Tbl &ent_limit, const Itbl &icontrol, const Tbl &control, double mbar_wanted, double aexp_mass, Tbl &diff, Param *=0x0) |
Computes an equilibrium configuration. | |
Map & | set_mp () |
Read/write of the mapping. | |
void | set_enthalpy (const Cmp &) |
Assignment of the enthalpy field. | |
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 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 . | |
double | ray_eq () const |
Coordinate radius at , [r_unit]. | |
double | ray_eq (int kk) const |
Coordinate radius at , [r_unit]. | |
double | ray_eq_pis2 () const |
Coordinate radius at , [r_unit]. | |
double | ray_eq_pi () const |
Coordinate radius at , [r_unit]. | |
double | ray_eq_3pis2 () const |
Coordinate radius at , [r_unit]. | |
double | ray_pole () const |
Coordinate radius at [r_unit]. | |
const Tbl & | xi_surf () const |
Description of the stellar surface: returns a 2-D Tbl containing the values of the radial coordinate on the surface at the collocation points in . | |
Static Public Member Functions | |
static double | lambda_grv2 (const Cmp &sou_m, const Cmp &sou_q) |
Computes the coefficient which ensures that the GRV2 virial identity is satisfied. | |
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. | |
Protected Attributes | |
const Eos_bifluid & | eos |
Equation of state for two-fluids model. | |
double | omega2 |
Rotation angular velocity for fluid 2 ( [f_unit] ). | |
Tenseur | ent2 |
Log-enthalpy for the second fluid. | |
Tenseur | nbar2 |
Baryon density in the fluid frame, for fluid 2. | |
Tenseur | sphph_euler |
The component of the stress tensor . | |
Tenseur | j_euler |
Total angular momentum (flat-space!) 3-vector , which is related to of the "3+1" decomposition, but expressed in a flat-space triad. | |
Tenseur | enerps_euler |
the combination : useful because in the Newtonian limit . | |
Tenseur | uuu2 |
Norm of the (fluid no.2) 3-velocity with respect to the eulerian observer. | |
Tenseur | gam_euler2 |
Lorentz factor between the fluid 2 and Eulerian observers. | |
Tenseur | delta_car |
The "relative velocity" (squared) of the two fluids. | |
double * | p_ray_eq2 |
Coordinate radius at , . | |
double * | p_ray_eq2_pis2 |
Coordinate radius at , . | |
double * | p_ray_eq2_pi |
Coordinate radius at , . | |
double * | p_ray_pole2 |
Coordinate radius at . | |
Itbl * | p_l_surf2 |
Description of the surface of fluid 2: 2-D Itbl containing the values of the domain index l on the surface at the collocation points in . | |
Tbl * | p_xi_surf2 |
Description of the surface of fluid 2: 2-D Tbl containing the values of the radial coordinate on the surface at the collocation points in . | |
double * | p_r_circ2 |
Circumferential radius of fluid no.2. | |
double * | p_aplat2 |
Flatening r_pole/r_eq of fluid no.2. | |
double * | p_mass_b1 |
Baryon mass of fluid 1. | |
double * | p_mass_b2 |
Baryon mass of fluid 2. | |
double | omega |
Rotation angular velocity ( [f_unit] ). | |
Tenseur | bbb |
Metric factor B. | |
Tenseur | b_car |
Square of the metric factor B. | |
Tenseur | nphi |
Metric coefficient . | |
Tenseur | tnphi |
Component of the shift vector. | |
Tenseur | uuu |
Norm of u_euler . | |
Tenseur & | logn |
Metric potential = logn_auto . | |
Tenseur | nuf |
Part of the Metric potential = logn generated by the matter terms. | |
Tenseur | nuq |
Part of the Metric potential = logn generated by the quadratic terms. | |
Tenseur & | dzeta |
Metric potential = beta_auto . | |
Tenseur | tggg |
Metric potential . | |
Tenseur | w_shift |
Vector used in the decomposition of shift , following Shibata's prescription [Prog. | |
Tenseur | khi_shift |
Scalar used in the decomposition of shift , following Shibata's prescription [Prog. | |
Tenseur_sym | tkij |
Tensor related to the extrinsic curvature tensor by . | |
Tenseur | ak_car |
Scalar . | |
Cmp | ssjm1_nuf |
Effective source at the previous step for the resolution of the Poisson equation for nuf by means of Map_et::poisson . | |
Cmp | ssjm1_nuq |
Effective source at the previous step for the resolution of the Poisson equation for nuq by means of Map_et::poisson . | |
Cmp | ssjm1_dzeta |
Effective source at the previous step for the resolution of the Poisson equation for dzeta . | |
Cmp | ssjm1_tggg |
Effective source at the previous step for the resolution of the Poisson equation for tggg . | |
Cmp | ssjm1_khi |
Effective source at the previous step for the resolution of the Poisson equation for the scalar by means of Map_et::poisson . | |
Tenseur | ssjm1_wshift |
Effective source at the previous step for the resolution of the vector Poisson equation for . | |
double * | p_angu_mom |
Angular momentum. | |
double * | p_tsw |
Ratio T/W. | |
double * | p_grv2 |
Error on the virial identity GRV2. | |
double * | p_grv3 |
Error on the virial identity GRV3. | |
double * | p_r_circ |
Circumferential radius. | |
double * | p_aplat |
Flatening r_pole/r_eq. | |
double * | p_z_eqf |
Forward redshift factor at equator. | |
double * | p_z_eqb |
Backward redshift factor at equator. | |
double * | p_z_pole |
Redshift factor at North pole. | |
double * | p_mom_quad |
Quadrupole moment. | |
double * | p_r_isco |
Circumferential radius of the ISCO. | |
double * | p_f_isco |
Orbital frequency of the ISCO. | |
double * | p_espec_isco |
Specific energy of a particle on the ISCO. | |
double * | p_lspec_isco |
Specific angular momentum of a particle on the ISCO. | |
double * | p_f_eq |
Orbital frequency at the equator. | |
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 . | |
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 , . | |
double * | p_ray_eq_pis2 |
Coordinate radius at , . | |
double * | p_ray_eq_pi |
Coordinate radius at , . | |
double * | p_ray_eq_3pis2 |
Coordinate radius at , . | |
double * | p_ray_pole |
Coordinate radius at . | |
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 . | |
Tbl * | p_xi_surf |
Description of the stellar surface: 2-D Tbl containing the values of the radial coordinate on the surface at the collocation points in . | |
double * | p_mass_b |
Baryon mass. | |
double * | p_mass_g |
Gravitational mass. | |
Friends | |
ostream & | operator<< (ostream &, const Etoile &) |
Display. |
Class for two-fluid rotating relativistic stars.
()
This is a child class of Etoile_rot
, with the same metric and overloaded member functions.
There are two number-density fields nbar
and nbar2
(and 2 log-enthalpies, see class Eos_bifluid
), as well as two velocity fields, with phi-components (with respect to the Eulerian observer) uuu
and uuu2
.
Fluid 1 can be considered to correspond to the (superfluid) neutrons, whereas fluid 2 would consist of the protons (and electrons) The quantity u_euler
of the class
Etoile is not used in this class! Only the "3+1" components of should be used outside of hydro_euler()
, namely s_euler
, sphph_euler
, j_euler
and ener_euler
.
Definition at line 131 of file et_rot_bifluid.h.
Et_rot_bifluid::Et_rot_bifluid | ( | Map & | mp_i, | |
int | nzet_i, | |||
bool | relat, | |||
const Eos_bifluid & | eos_i | |||
) |
Standard constructor.
Definition at line 111 of file et_rot_bifluid.C.
References delta_car, enerps_euler, ent2, Etoile::gam_euler, gam_euler2, j_euler, nbar2, omega2, set_der_0x0(), Tenseur::set_std_base(), sphph_euler, and uuu2.
Et_rot_bifluid::Et_rot_bifluid | ( | const Et_rot_bifluid & | et | ) |
Copy constructor.
Definition at line 146 of file et_rot_bifluid.C.
References omega2, and set_der_0x0().
Et_rot_bifluid::Et_rot_bifluid | ( | Map & | mp_i, | |
const Eos_bifluid & | eos_i, | |||
FILE * | fich | |||
) |
Constructor from a file (see sauve(FILE*)
) Works only for relativistic stars.
This has to be improved....
Definition at line 167 of file et_rot_bifluid.C.
References delta_car, ent2, fread_be(), Etoile::mp, omega2, set_der_0x0(), and uuu2.
Et_rot_bifluid::~Et_rot_bifluid | ( | ) | [virtual] |
double Et_rot_bifluid::angu_mom | ( | ) | const [virtual] |
Angular momentum.
Reimplemented from Etoile_rot.
Definition at line 183 of file et_bfrot_global.C.
References Etoile::a_car, Etoile_rot::b_car, Etoile_rot::bbb, Tenseur::change_triad(), Map::get_bvect_spher(), Cmp::integrale(), j_euler, Etoile::mp, Cmp::mult_rsint(), Etoile_rot::p_angu_mom, and Cmp::std_base_scal().
double Etoile_rot::aplat | ( | ) | const [virtual, inherited] |
Flatening r_pole/r_eq.
Definition at line 411 of file et_rot_global.C.
References Etoile_rot::p_aplat, Etoile::ray_eq(), and Etoile::ray_pole().
double Et_rot_bifluid::aplat2 | ( | ) | const [virtual] |
Flatening r_pole/r_eq for fluid 2.
Definition at line 360 of file et_bfrot_global.C.
References p_aplat2, ray_eq2(), and ray_pole2().
void Et_rot_bifluid::del_deriv | ( | ) | const [protected, virtual] |
Deletes all the derived quantities.
Reimplemented from Etoile_rot.
Definition at line 217 of file et_rot_bifluid.C.
References p_aplat2, p_l_surf2, p_mass_b1, p_mass_b2, p_r_circ2, p_ray_eq2, p_ray_eq2_pi, p_ray_eq2_pis2, p_ray_pole2, p_xi_surf2, and set_der_0x0().
void Et_rot_bifluid::del_hydro_euler | ( | ) | [protected, virtual] |
Sets to ETATNONDEF
(undefined state) the hydrodynamical quantities relative to the Eulerian observer.
Reimplemented from Etoile_rot.
Definition at line 254 of file et_rot_bifluid.C.
References del_deriv(), delta_car, enerps_euler, gam_euler2, j_euler, Tenseur::set_etat_nondef(), sphph_euler, and uuu2.
void Etoile_rot::display_poly | ( | ostream & | ost | ) | const [virtual, inherited] |
Display in polytropic units.
Reimplemented in Et_rot_diff.
Definition at line 665 of file etoile_rot.C.
References Etoile_rot::angu_mom(), Etoile::ener, Etoile::eos, Eos_poly::get_gam(), Eos_poly::get_kap(), Etoile_rot::get_omega_c(), Etoile_rot::mass_b(), Etoile_rot::mass_g(), Etoile::nbar, pow(), Etoile_rot::r_circ(), Etoile::ray_eq(), and sqrt().
void Et_rot_bifluid::equation_of_state | ( | ) | [virtual] |
Computes the proper baryon and energy densities, as well as pressure from the enthalpies and both velocities.
Reimplemented from Etoile.
Definition at line 482 of file et_rot_bifluid.C.
References Cmp::allocate_all(), Eos_bifluid::calcule_tout(), del_deriv(), delta_car, Etoile::ener, Etoile::ent, ent2, eos, Mg3d::get_grille3d(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_nzone(), Etoile::mp, Etoile::nbar, nbar2, Etoile::nzet, Etoile::press, Tenseur::set(), Cmp::set(), Mtbl::set(), Tenseur::set_etat_qcq(), Tbl::set_etat_qcq(), Mtbl::set_etat_qcq(), Tenseur::set_std_base(), Cmp::std_base_scal(), Mtbl::t, and Grille3d::x.
void Etoile::equil_spher_falloff | ( | double | ent_c, | |
double | precis = 1.e-14 | |||
) | [virtual, inherited] |
Computes a spherical static configuration with the outer boundary condition at a finite radius.
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 53 of file etoile_eqsph_falloff.C.
References Etoile::a_car, Tenseur::annule(), Etoile::beta_auto, diffrel(), Cmp::dsdr(), Map_af::dsdr(), Etoile::ener, Etoile::ener_euler, Etoile::ent, Etoile::equation_of_state(), exp(), Etoile::gam_euler, Map::get_mg(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_nzone(), Map_af::homothetie(), Etoile::logn_auto, Etoile::mass_b(), Etoile::mass_g(), Etoile::mp, Etoile::nbar, Etoile::nnn, norme(), Etoile::nzet, Etoile::press, Etoile::relativistic, Etoile::s_euler, Tenseur::set(), Tenseur::set_etat_qcq(), Tenseur::set_std_base(), Etoile::shift, sqrt(), Etoile::u_euler, Etoile::unsurc2, and Map::val_r().
void Etoile::equil_spher_regular | ( | double | ent_c, | |
double | precis = 1.e-14 | |||
) | [inherited] |
Computes a spherical static configuration.
The sources for Poisson equations are regularized by extracting analytical diverging parts.
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 110 of file et_equil_spher_regu.C.
References Etoile::a_car, Tenseur::annule(), Etoile::beta_auto, Etoile::d_logn_auto_div, Eos::der_ener_ent_p(), Eos::der_nbar_ent_p(), diffrel(), Map_af::dsdr(), Etoile::ener, Etoile::ener_euler, Etoile::ent, Etoile::eos, Etoile::equation_of_state(), exp(), Etoile::gam_euler, Map::get_bvect_spher(), Map::get_mg(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_nzone(), Tenseur::gradient_spher(), Map_af::homothetie(), Etoile::k_div, Etoile::logn_auto, Etoile::logn_auto_div, Etoile::logn_auto_regu, Etoile::mass_b(), Etoile::mass_g(), Etoile::mp, Etoile::nbar, Etoile::nnn, norme(), Etoile::nzet, Map_af::poisson(), Map_af::poisson_regular(), Etoile::press, Etoile::relativistic, Etoile::s_euler, Tenseur::set(), Tenseur::set_etat_qcq(), Tenseur::set_std_base(), Etoile::shift, sqrt(), Cmp::std_base_scal(), Etoile::u_euler, Etoile::unsurc2, and Map::val_r().
void Et_rot_bifluid::equil_spher_regular | ( | double | ent_c, | |
double | ent_c2, | |||
double | precis = 1.e-14 | |||
) |
Computes a spherical static configuration.
The sources for Poisson equations are regularized by extracting analytical diverging parts.
ent_c | [input] central value of the enthalpy 1 | |
ent_c2 | [input] central value of the enthalpy 2 | |
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) |
void Etoile_rot::equilibrium | ( | double | ent_c, | |
double | omega0, | |||
double | fact_omega, | |||
int | nzadapt, | |||
const Tbl & | ent_limit, | |||
const Itbl & | icontrol, | |||
const Tbl & | control, | |||
double | mbar_wanted, | |||
double | aexp_mass, | |||
Tbl & | diff, | |||
Param * | = 0x0 | |||
) | [virtual, inherited] |
Computes an equilibrium configuration.
ent_c | [input] Central enthalpy | |
omega0 | [input] Requested angular velocity (if fact_omega=1 . ) | |
fact_omega | [input] 1.01 = search for the Keplerian frequency, 1. = otherwise. | |
nzadapt | [input] Number of (inner) domains where the mapping adaptation to an iso-enthalpy surface should be performed | |
ent_limit | [input] 1-D Tbl of dimension nzet which defines the enthalpy at the outer boundary of each domain | |
icontrol | [input] Set of integer parameters (stored as a 1-D Itbl of size 8) to control the iteration:
| |
control | [input] Set of parameters (stored as a 1-D Tbl of size 7) to control the iteration:
| |
mbar_wanted | [input] Requested baryon mass (effective only if mer_mass > mer_max ) | |
aexp_mass | [input] Exponent for the increase factor of the central enthalpy to converge to the requested baryon mass | |
diff | [output] 1-D Tbl of size 7 for the storage of some error indicators :
|
Reimplemented in Et_rot_diff.
Definition at line 143 of file et_rot_equilibrium.C.
References Etoile::a_car, abs(), Map::adapt(), Param::add_cmp_mod(), Param::add_double(), Param::add_double_mod(), Param::add_int(), Param::add_int_mod(), Param::add_tbl(), Param::add_tenseur_mod(), Etoile_rot::ak_car, Cmp::annule(), Etoile_rot::bbb, Valeur::c_cf, Tenseur::change_triad(), Map::cmp_zero(), Valeur::coef(), cos(), diffrel(), Etoile_rot::dzeta, Etoile::ener_euler, Etoile::ent, Etoile::equation_of_state(), Etoile_rot::fait_nphi(), flat_scalar_prod(), Etoile::gam_euler, Map::get_bvect_cart(), Tenseur::get_etat(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_nzone(), Mg3d::get_type_t(), Tenseur::gradient_spher(), Etoile_rot::grv2(), Map_et::homothetie(), Etoile_rot::hydro_euler(), Etoile_rot::khi_shift, log(), log10(), Etoile_rot::logn, Etoile_rot::mass_b(), Etoile_rot::mass_g(), Etoile::mp, Cmp::mult_rsint(), Etoile::nbar, Etoile::nnn, Etoile_rot::nphi, Etoile_rot::nuf, Etoile_rot::nuq, Etoile::nzet, Etoile_rot::omega, Etoile_rot::partial_display(), Map::phi, Map::poisson2d(), pow(), Etoile::press, Etoile::ray_eq(), Etoile::ray_pole(), Map::reevaluate(), Etoile::relativistic, Etoile::s_euler, Tenseur::set(), Tbl::set(), Tenseur::set_etat_qcq(), Tbl::set_etat_qcq(), Tenseur::set_std_base(), Etoile::shift, Map::sint, sqrt(), Etoile_rot::ssjm1_khi, Etoile_rot::ssjm1_nuf, Etoile_rot::ssjm1_nuq, Etoile_rot::ssjm1_tggg, Etoile_rot::ssjm1_wshift, Cmp::std_base_scal(), Etoile_rot::tggg, Etoile_rot::tkij, Etoile::u_euler, Etoile_rot::update_metric(), Etoile_rot::uuu, Cmp::va, and Etoile_rot::w_shift.
void Et_rot_bifluid::equilibrium_bi | ( | double | ent_c, | |
double | ent_c2, | |||
double | omega0, | |||
double | omega20, | |||
const Tbl & | ent_limit, | |||
const Tbl & | ent2_limit, | |||
const Itbl & | icontrol, | |||
const Tbl & | control, | |||
Tbl & | diff, | |||
int | mer_mass, | |||
double | mbar1_wanted, | |||
double | mbar2_wanted, | |||
double | aexp_mass | |||
) |
Computes an equilibrium configuration.
ent_c | [input] Central enthalpy for fluid 1 | |
ent_c2 | [input] Central enthalpy for fluid 2 | |
omega0 | [input] Requested angular velocity for fluid 1 | |
omega20 | [input] Requested angular velocity for fluid 2 | |
ent_limit | [input] 1-D Tbl of dimension nzet which defines the enthalpy for fluid 1 at the outer boundary of each domain | |
ent2_limit | [input] 1-D Tbl of dimension nzet which defines the enthalpy for fluid 2 at the outer boundary of each domain | |
icontrol | [input] Set of integer parameters (stored as a 1-D Itbl of size 5) to control the iteration:
| |
control | [input] Set of parameters (stored as a 1-D Tbl of size 5) to control the iteration:
| |
diff | [output] 1-D Tbl of size 8 for the storage of some error indicators :
|
Definition at line 127 of file et_bfrot_equilibre.C.
References Map_et::adapt(), Param::add_cmp_mod(), Param::add_double(), Param::add_double_mod(), Param::add_int(), Param::add_int_mod(), Param::add_tbl(), Param::add_tenseur_mod(), Valeur::c_cf, Tenseur::change_triad(), Valeur::coef(), cos(), diffrel(), flat_scalar_prod(), Eos_bf_poly::get_beta(), Tenseur::get_etat(), Eos_bf_poly::get_kap1(), Eos_bf_poly::get_kap2(), Eos_bf_poly::get_kap3(), Mg3d::get_np(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_nzone(), Mg3d::get_type_t(), Tenseur::gradient_spher(), Map_et::homothetie(), log(), log10(), pow(), Cmp::set(), Tenseur::set(), Tbl::set(), Tbl::set_etat_qcq(), Tenseur::set_std_base(), and sqrt().
void Etoile::equilibrium_spher | ( | double | ent_c, | |
double | precis = 1.e-14 , |
|||
const Tbl * | ent_limit = 0x0 | |||
) | [virtual, inherited] |
Computes a spherical static configuration.
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 83 of file etoile_equil_spher.C.
References Etoile::a_car, Map_et::adapt(), Param::add_double(), Param::add_int(), Param::add_int_mod(), Param::add_tbl(), Tenseur::annule(), Etoile::beta_auto, diffrel(), Cmp::dsdr(), Map_af::dsdr(), Etoile::ener, Etoile::ener_euler, Etoile::ent, Etoile::equation_of_state(), exp(), Etoile::gam_euler, Map_et::get_alpha(), Map_af::get_alpha(), Map_et::get_beta(), Map_af::get_beta(), Etoile::get_ent(), Map::get_mg(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_nzone(), Etoile::get_press(), Map_af::homothetie(), Etoile::logn_auto, Etoile::mass_b(), Etoile::mass_g(), Etoile::mp, Etoile::nbar, Etoile::nnn, norme(), Etoile::nzet, Map_af::poisson(), Etoile::press, Etoile::relativistic, Etoile::s_euler, Tenseur::set(), Map_af::set_alpha(), Map_af::set_beta(), Tenseur::set_etat_qcq(), Tenseur::set_std_base(), Etoile::shift, sqrt(), Etoile::u_euler, Etoile::unsurc2, and Map::val_r().
void Et_rot_bifluid::equilibrium_spher_bi | ( | double | ent_c, | |
double | ent_c2, | |||
double | precis = 1.e-14 | |||
) |
Computes a spherical static configuration.
ent_c | [input] central value of the enthalpy 1 | |
ent_c2 | [input] central value of the enthalpy 2 | |
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) |
double Etoile_rot::espec_isco | ( | ) | const [virtual, inherited] |
Energy of a particle on the ISCO.
Definition at line 297 of file et_rot_isco.C.
References Etoile_rot::p_espec_isco, and Etoile_rot::r_isco().
void Etoile_rot::extrinsic_curvature | ( | ) | [inherited] |
Computes tkij
and ak_car
from shift
, nnn
and b_car
.
Definition at line 53 of file et_rot_extr_curv.C.
References Etoile_rot::ak_car, Etoile_rot::b_car, contract(), Tenseur::get_etat(), Cmp::get_etat(), Map::get_mg(), Tenseur::gradient(), Etoile::mp, Cmp::mult_rsint(), Etoile::nnn, Etoile_rot::nphi, Tenseur::set(), Tenseur::set_etat_qcq(), Tenseur::set_etat_zero(), Etoile::shift, Etoile_rot::tkij, and Cmp::va.
double Etoile_rot::f_eccentric | ( | double | ecc, | |
double | periast, | |||
ostream * | ost = 0x0 | |||
) | const [virtual, inherited] |
Computation of frequency of eccentric orbits.
ecc | eccentricity of the orbit | |
periasrt | periastron of the orbit | |
ost | output stream to give details of the computation; if set to 0x0 [default value], no details will be given. |
Definition at line 74 of file et_rot_f_eccentric.C.
References Param::add_cmp(), Param::add_int(), Cmp::annule(), Etoile_rot::bbb, Cmp::dsdr(), Map::get_mg(), Mg3d::get_nzone(), Etoile::mp, Etoile::nnn, Etoile_rot::nphi, Etoile::nzet, Etoile_rot::p_f_isco, Etoile_rot::p_r_isco, Map::r, Etoile::ray_eq(), sqrt(), Cmp::std_base_scal(), Cmp::va, Valeur::val_point(), and Map::val_r().
double Etoile_rot::f_eq | ( | ) | const [virtual, inherited] |
Orbital frequency at the equator.
Definition at line 315 of file et_rot_isco.C.
References Etoile_rot::p_f_eq, and Etoile_rot::r_isco().
double Etoile_rot::f_isco | ( | ) | const [virtual, inherited] |
Orbital frequency at the innermost stable circular orbit (ISCO).
Definition at line 263 of file et_rot_isco.C.
References Etoile_rot::p_f_isco, and Etoile_rot::r_isco().
void Etoile_rot::fait_nphi | ( | ) | [inherited] |
Computes tnphi
and nphi
from the Cartesian components of the shift, stored in shift
.
Definition at line 756 of file etoile_rot.C.
References Map::comp_p_from_cartesian(), Tenseur::get_etat(), Etoile::mp, Etoile_rot::nphi, Tenseur::set(), Tenseur::set_etat_qcq(), Etoile::shift, and Etoile_rot::tnphi.
void Etoile_rot::fait_shift | ( | ) | [inherited] |
Computes shift
from w_shift
and khi_shift
according to Shibata's prescription [Prog.
Theor. Phys. 101 , 1199 (1999)] :
Definition at line 723 of file etoile_rot.C.
References Tenseur::dec2_dzpuis(), Tenseur::dec_dzpuis(), Tenseur::get_etat(), Tenseur::get_triad(), Tenseur::gradient(), Etoile_rot::khi_shift, Tenseur::set(), Tenseur::set_etat_qcq(), Tenseur::set_triad(), Etoile::shift, skxk(), and Etoile_rot::w_shift.
const Tenseur& Etoile::get_a_car | ( | ) | const [inline, inherited] |
Returns the total conformal factor .
Definition at line 718 of file etoile.h.
References Etoile::a_car.
const Tenseur& Etoile_rot::get_ak_car | ( | ) | const [inline, inherited] |
Returns the scalar .
For axisymmetric stars, this quantity is related to the derivatives of by
In particular it is related to the quantities and introduced by Eqs.~(3.7) and (3.8) of Bonazzola et al. Astron. Astrophys. 278 , 421 (1993) by
Definition at line 1782 of file etoile.h.
References Etoile_rot::ak_car.
const Tenseur& Etoile_rot::get_b_car | ( | ) | const [inline, inherited] |
Returns the square of the metric factor B.
Definition at line 1698 of file etoile.h.
References Etoile_rot::b_car.
const Tenseur& Etoile_rot::get_bbb | ( | ) | const [inline, inherited] |
const Tenseur& Etoile::get_beta_auto | ( | ) | const [inline, inherited] |
Returns the logarithm of the part of the product AN generated principaly by the star.
Definition at line 709 of file etoile.h.
References Etoile::beta_auto.
const Tenseur& Etoile::get_d_logn_auto_div | ( | ) | const [inline, inherited] |
Returns the gradient of logn_auto_div
.
Definition at line 704 of file etoile.h.
References Etoile::d_logn_auto_div.
const Tenseur& Et_rot_bifluid::get_delta_car | ( | ) | const [inline] |
Returns the "relative velocity" (squared) of the two fluids.
Definition at line 296 of file et_rot_bifluid.h.
References delta_car.
const Tenseur& Etoile_rot::get_dzeta | ( | ) | const [inline, inherited] |
Returns the Metric potential = beta_auto
.
Definition at line 1725 of file etoile.h.
References Etoile_rot::dzeta.
const Tenseur& Etoile::get_ener | ( | ) | const [inline, inherited] |
Returns the proper total energy density.
Definition at line 664 of file etoile.h.
References Etoile::ener.
const Tenseur& Etoile::get_ener_euler | ( | ) | const [inline, inherited] |
Returns the total energy density with respect to the Eulerian observer.
Definition at line 670 of file etoile.h.
References Etoile::ener_euler.
const Tenseur& Etoile::get_ent | ( | ) | const [inline, inherited] |
const Tenseur& Et_rot_bifluid::get_ent2 | ( | ) | const [inline] |
Returns the enthalpy field for fluid 2.
Definition at line 290 of file et_rot_bifluid.h.
References ent2.
const Eos_bifluid& Et_rot_bifluid::get_eos | ( | ) | const [inline] |
Returns the equation of state.
Reimplemented from Etoile.
Definition at line 287 of file et_rot_bifluid.h.
References eos.
const Tenseur& Etoile::get_gam_euler | ( | ) | const [inline, inherited] |
Returns the Lorentz factor between the fluid and Eulerian observers.
Definition at line 676 of file etoile.h.
References Etoile::gam_euler.
const Tenseur& Et_rot_bifluid::get_gam_euler2 | ( | ) | const [inline] |
Returns the Lorentz factor between the fluid 2 and Eulerian observers.
Definition at line 299 of file et_rot_bifluid.h.
References gam_euler2.
const Tenseur& Etoile_rot::get_khi_shift | ( | ) | const [inline, inherited] |
Returns the scalar used in the decomposition of shift
following Shibata's prescription [Prog.
Theor. Phys. 101 , 1199 (1999)] :
NB: w_shift
contains the components of with respect to the Cartesian triad associated with the mapping mp
.
Definition at line 1756 of file etoile.h.
References Etoile_rot::khi_shift.
const Tenseur& Etoile_rot::get_logn | ( | ) | const [inline, inherited] |
Returns the metric potential = logn_auto
.
Definition at line 1712 of file etoile.h.
References Etoile_rot::logn.
const Tenseur& Etoile::get_logn_auto | ( | ) | const [inline, inherited] |
Returns the logarithm of the part of the lapse N generated principaly by the star.
In the Newtonian case, this is the Newtonian gravitational potential (in units of ).
Definition at line 686 of file etoile.h.
References Etoile::logn_auto.
const Tenseur& Etoile::get_logn_auto_div | ( | ) | const [inline, inherited] |
Returns the divergent part of the logarithm of the part of the lapse N generated principaly by the star.
In the Newtonian case, this is the diverging part of the Newtonian gravitational potential (in units of ).
Definition at line 700 of file etoile.h.
References Etoile::logn_auto_div.
const Tenseur& Etoile::get_logn_auto_regu | ( | ) | const [inline, inherited] |
Returns the regular part of the logarithm of the part of the lapse N generated principaly by the star.
In the Newtonian case, this is the Newtonian gravitational potential (in units of ).
Definition at line 693 of file etoile.h.
References Etoile::logn_auto_regu.
const Map& Etoile::get_mp | ( | ) | const [inline, inherited] |
const Tenseur& Etoile::get_nbar | ( | ) | const [inline, inherited] |
Returns the proper baryon density.
Definition at line 661 of file etoile.h.
References Etoile::nbar.
const Tenseur& Et_rot_bifluid::get_nbar2 | ( | ) | const [inline] |
Returns the proper baryon density for fluid 2.
Definition at line 293 of file et_rot_bifluid.h.
References nbar2.
const Tenseur& Etoile::get_nnn | ( | ) | const [inline, inherited] |
Returns the total lapse function N.
Definition at line 712 of file etoile.h.
References Etoile::nnn.
const Tenseur& Etoile_rot::get_nphi | ( | ) | const [inline, inherited] |
Returns the metric coefficient .
Definition at line 1701 of file etoile.h.
References Etoile_rot::nphi.
const Tenseur& Etoile_rot::get_nuf | ( | ) | const [inline, inherited] |
Returns the part of the Metric potential = logn
generated by the matter terms.
Definition at line 1717 of file etoile.h.
References Etoile_rot::nuf.
const Tenseur& Etoile_rot::get_nuq | ( | ) | const [inline, inherited] |
Returns the Part of the Metric potential = logn
generated by the quadratic terms.
Definition at line 1722 of file etoile.h.
References Etoile_rot::nuq.
int Etoile::get_nzet | ( | ) | const [inline, inherited] |
Returns the number of domains occupied by the star.
Definition at line 647 of file etoile.h.
References Etoile::nzet.
double Et_rot_bifluid::get_omega2 | ( | ) | const [inline] |
Returns the rotation angular velocity of fluid 2([f_unit] ).
Definition at line 302 of file et_rot_bifluid.h.
References omega2.
double Etoile_rot::get_omega_c | ( | ) | const [virtual, inherited] |
Returns the central value of the rotation angular velocity ([f_unit] ).
Reimplemented in Et_rot_diff.
Definition at line 655 of file etoile_rot.C.
References Etoile_rot::omega.
const Tenseur& Etoile::get_press | ( | ) | const [inline, inherited] |
const Tenseur& Etoile::get_s_euler | ( | ) | const [inline, inherited] |
Returns the trace of the stress tensor in the Eulerian frame.
Definition at line 673 of file etoile.h.
References Etoile::s_euler.
const Tenseur& Etoile::get_shift | ( | ) | const [inline, inherited] |
const Tenseur& Etoile_rot::get_tggg | ( | ) | const [inline, inherited] |
Returns the Metric potential .
Definition at line 1728 of file etoile.h.
References Etoile_rot::tggg.
const Tenseur_sym& Etoile_rot::get_tkij | ( | ) | const [inline, inherited] |
Returns the tensor related to the extrinsic curvature tensor by .
tkij
contains the Cartesian components of .
Definition at line 1763 of file etoile.h.
References Etoile_rot::tkij.
const Tenseur& Etoile_rot::get_tnphi | ( | ) | const [inline, inherited] |
Returns the component of the shift vector.
Definition at line 1706 of file etoile.h.
References Etoile_rot::tnphi.
const Tenseur& Etoile::get_u_euler | ( | ) | const [inline, inherited] |
Returns the fluid 3-velocity with respect to the Eulerian observer.
Definition at line 679 of file etoile.h.
References Etoile::u_euler.
const Tenseur& Etoile_rot::get_uuu | ( | ) | const [inline, inherited] |
const Tenseur& Et_rot_bifluid::get_uuu2 | ( | ) | const [inline] |
Returns the norm of the fluid 2 3-velocity with respect to the eulerian frame.
Definition at line 305 of file et_rot_bifluid.h.
References uuu2.
const Tenseur& Etoile_rot::get_w_shift | ( | ) | const [inline, inherited] |
Returns the vector used in the decomposition of shift
, following Shibata's prescription [Prog.
Theor. Phys. 101 , 1199 (1999)] :
NB: w_shift
contains the components of with respect to the Cartesian triad associated with the mapping mp
.
Definition at line 1742 of file etoile.h.
References Etoile_rot::w_shift.
double Et_rot_bifluid::grv2 | ( | ) | const [virtual] |
Error on the virial identity GRV2.
Given by the integral Eq. (4.6) in [Bonazzola, Gougoulhon, Salgado, Marck, A&A 278 , 421 (1993)].
Reimplemented from Etoile_rot.
Definition at line 213 of file et_bfrot_global.C.
References Etoile::a_car, Etoile_rot::ak_car, flat_scalar_prod(), Tenseur::gradient_spher(), Etoile_rot::lambda_grv2(), Etoile_rot::logn, Etoile::mp, Etoile_rot::p_grv2, and sphph_euler.
double Et_rot_bifluid::grv3 | ( | ostream * | ost = 0x0 |
) | const [virtual] |
Error on the virial identity GRV3.
The error is computed as the integral defined by Eq. (43) of [Gourgoulhon and Bonazzola, Class. Quantum Grav. 11 , 443 (1994)] divided by the integral of the matter terms.
ost | output stream to give details of the computation; if set to 0x0 [default value], no details will be given. |
Reimplemented from Etoile_rot.
Definition at line 238 of file et_bfrot_global.C.
References Etoile::a_car, Etoile_rot::ak_car, Etoile_rot::bbb, Etoile_rot::dzeta, flat_scalar_prod(), Cmp::get_dzpuis(), Cmp::get_etat(), Tenseur::gradient_spher(), log(), Etoile_rot::logn, Etoile::mp, Valeur::mult_ct(), Etoile_rot::p_grv3, Etoile::relativistic, Etoile::s_euler, Cmp::set_dzpuis(), Tenseur::set_std_base(), Valeur::ssint(), Cmp::std_base_scal(), Valeur::sx(), Cmp::va, and Map_radial::xsr.
void Et_rot_bifluid::hydro_euler | ( | ) | [virtual] |
Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid frame.
The calculation is performed starting from the quantities ent
, ent2
, ener
, press
, and a_car
, which are supposed to be up to date. From these, the following fields are updated: delta_car
, gam_euler
, gam_euler2
, ener_euler
, s_euler
, sphph_euler
and j_euler
.
Reimplemented from Etoile_rot.
Definition at line 558 of file et_rot_bifluid.C.
References Tenseur::annule(), Etoile_rot::bbb, Tenseur::change_triad(), del_deriv(), delta_car, Etoile::ener_euler, enerps_euler, Etoile::ent, eos, Etoile::gam_euler, gam_euler2, Map::get_bvect_cart(), Map::get_bvect_spher(), Tenseur::get_etat(), Eos_bifluid::get_Knn(), Eos_bifluid::get_Knp(), Eos_bifluid::get_Kpp(), Eos_bifluid::get_m1(), Eos_bifluid::get_m2(), Map::get_mg(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_nzone(), j_euler, Etoile::mp, Etoile::nbar, nbar2, Etoile::nnn, Etoile_rot::nphi, Etoile::nzet, Etoile_rot::omega, omega2, Etoile::press, Etoile::relativistic, Etoile::s_euler, Tenseur::set(), Tenseur::set_etat_nondef(), Tenseur::set_etat_qcq(), Tenseur::set_std_base(), Tenseur::set_triad(), sphph_euler, sqrt(), Etoile::u_euler, Etoile::unsurc2, Etoile_rot::uuu, and uuu2.
bool Etoile::is_relativistic | ( | ) | const [inline, inherited] |
Returns true
for a relativistic star, false
for a Newtonian one.
Definition at line 652 of file etoile.h.
References Etoile::relativistic.
const Itbl & Et_rot_bifluid::l_surf | ( | ) | const [virtual] |
Description of the surface of fluid 1: returns a 2-D Itbl
containing the values of the domain index l on the surface at the collocation points in .
This surface is defined as the location where the density 1 (member nbar
) vanishes.
Reimplemented from Etoile_rot.
Definition at line 447 of file et_bfrot_global.C.
References Cmp::annule(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Etoile::mp, Etoile::nbar, Etoile::nzet, Etoile::p_l_surf, Etoile::p_xi_surf, and Cmp::va.
const Itbl & Et_rot_bifluid::l_surf2 | ( | ) | const |
Description of the surface of fluid 2: returns a 2-D Itbl
containing the values of the domain index l on the surface at the collocation points in .
This surface is defined as the location where the density 2 (member nbar2
) vanishes.
Definition at line 480 of file et_bfrot_global.C.
References Cmp::annule(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Etoile::mp, nbar2, Etoile::nzet, p_l_surf2, p_xi_surf2, and Cmp::va.
Computes the coefficient which ensures that the GRV2 virial identity is satisfied.
is the coefficient by which one must multiply the quadratic source term of the 2-D Poisson equation
in order that the total source does not contain any monopolar term, i.e. in order that
where . is computed according to the formula
Then, by construction, the new source has a vanishing monopolar term.
sou_m | [input] matter source term | |
sou_q | [input] quadratic source term |
Definition at line 75 of file et_rot_lambda_grv2.C.
References Valeur::c, Cmp::check_dzpuis(), Valeur::coef_i(), Map_radial::dxdr, Map_af::get_alpha(), Map_af::get_beta(), Valeur::get_etat(), Cmp::get_etat(), Tbl::get_etat(), Mg3d::get_grille3d(), Map::get_mg(), Cmp::get_mp(), Mg3d::get_np(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_nzone(), Mg3d::get_type_r(), Map_af::set_alpha(), Map_af::set_beta(), Tbl::t, Mtbl::t, Cmp::va, Map::val_r(), Grille3d::x, and Map_radial::xsr.
double Etoile_rot::lspec_isco | ( | ) | const [virtual, inherited] |
Angular momentum of a particle on the ISCO.
Definition at line 280 of file et_rot_isco.C.
References Etoile_rot::p_lspec_isco, and Etoile_rot::r_isco().
double Et_rot_bifluid::mass_b | ( | ) | const [virtual] |
Total Baryon mass.
Reimplemented from Etoile_rot.
Definition at line 141 of file et_bfrot_global.C.
References mass_b1(), mass_b2(), and Etoile::p_mass_b.
double Et_rot_bifluid::mass_b1 | ( | ) | const |
Baryon mass of fluid 1.
Definition at line 109 of file et_bfrot_global.C.
References Etoile::a_car, Etoile_rot::bbb, eos, Etoile::gam_euler, Tenseur::get_etat(), Eos_bifluid::get_m1(), Etoile::nbar, and p_mass_b1.
double Et_rot_bifluid::mass_b2 | ( | ) | const |
Baryon mass of fluid 2.
Definition at line 125 of file et_bfrot_global.C.
References Etoile::a_car, Etoile_rot::bbb, eos, gam_euler2, Tenseur::get_etat(), Eos_bifluid::get_m2(), nbar2, and p_mass_b2.
double Et_rot_bifluid::mass_g | ( | ) | const [virtual] |
Gravitational mass.
Reimplemented from Etoile_rot.
Definition at line 155 of file et_bfrot_global.C.
References Etoile::a_car, Etoile_rot::b_car, Etoile_rot::bbb, Tenseur::change_triad(), enerps_euler, Map::get_bvect_spher(), j_euler, Etoile::mp, Etoile::nnn, Etoile::p_mass_g, Tenseur::set_std_base(), and Etoile_rot::tnphi.
double Et_rot_bifluid::mom_quad | ( | ) | const [virtual] |
Quadrupole moment.
The quadrupole moment Q is defined according to Eq. (7) of [Salgado, Bonazzola, Gourgoulhon and Haensel, Astron. Astrophys. 291 , 155 (1994)]. At the Newtonian limit it is related to the component of the MTW (1973) reduced quadrupole moment by: . Note that Q is the negative of the quadrupole moment defined by Laarakkers and Poisson, Astrophys. J. 512 , 282 (1999).
Reimplemented from Etoile_rot.
Definition at line 378 of file et_bfrot_global.C.
References Etoile::a_car, Etoile_rot::ak_car, Etoile_rot::bbb, Cmp::check_dzpuis(), enerps_euler, flat_scalar_prod(), Cmp::get_etat(), Tenseur::gradient_spher(), Cmp::inc2_dzpuis(), log(), Etoile_rot::logn, Etoile::mp, Valeur::mult_ct(), Cmp::mult_r(), Etoile::nbar, nbar2, Etoile_rot::p_mom_quad, Etoile::relativistic, Tenseur::set(), Tenseur::set_std_base(), and Cmp::va.
void Et_rot_bifluid::operator= | ( | const Et_rot_bifluid & | et | ) |
Assignment to another Et_rot_bifluid.
Reimplemented from Etoile_rot.
Definition at line 290 of file et_rot_bifluid.C.
References del_deriv(), delta_car, enerps_euler, ent2, eos, gam_euler2, j_euler, nbar2, omega2, sphph_euler, and uuu2.
ostream & Et_rot_bifluid::operator>> | ( | ostream & | ost | ) | const [virtual] |
Operator >> (virtual function called by the operator <<).
Reimplemented from Etoile_rot.
Definition at line 333 of file et_rot_bifluid.C.
References Etoile::a_car, Etoile_rot::aplat(), aplat2(), Etoile_rot::b_car, diffrel(), Etoile_rot::dzeta, Map::get_mg(), Mg3d::get_nr(), Mg3d::get_nt(), grv2(), grv3(), Etoile_rot::logn, Etoile::mp, Etoile_rot::nphi, Etoile::nzet, Etoile_rot::omega, omega2, Etoile_rot::r_circ(), r_circ2(), Etoile::ray_eq(), ray_eq2(), Etoile_rot::uuu, uuu2, Etoile_rot::z_eqb(), Etoile_rot::z_eqf(), and Etoile_rot::z_pole().
void Et_rot_bifluid::partial_display | ( | ostream & | ost | ) | const [virtual] |
Printing of some informations, excluding all global quantities.
Reimplemented from Etoile_rot.
Definition at line 416 of file et_rot_bifluid.C.
References Etoile::a_car, Etoile_rot::aplat(), aplat2(), Etoile_rot::b_car, Etoile_rot::dzeta, Etoile::ener, Etoile::ent, ent2, Map::get_mg(), Mg3d::get_nr(), Mg3d::get_nt(), Etoile_rot::logn, Etoile::mp, Etoile::nbar, nbar2, Etoile::nnn, Etoile_rot::nphi, Etoile::nzet, Etoile_rot::omega, omega2, Etoile::press, Etoile::ray_eq(), ray_eq2(), Etoile_rot::uuu, and uuu2.
double Etoile_rot::r_circ | ( | ) | const [virtual, inherited] |
Circumferential radius.
Definition at line 380 of file et_rot_global.C.
References Etoile_rot::bbb, Map::get_mg(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_type_t(), Etoile::mp, Etoile::nzet, Etoile_rot::p_r_circ, and Etoile::ray_eq().
double Et_rot_bifluid::r_circ2 | ( | ) | const [virtual] |
Circumferential radius for fluid 2.
Definition at line 335 of file et_bfrot_global.C.
References Etoile_rot::bbb, Map::get_mg(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_type_t(), Etoile::mp, Etoile::nzet, p_r_circ2, and ray_eq2().
double Etoile_rot::r_isco | ( | ostream * | ost = 0x0 |
) | const [virtual, inherited] |
Circumferential radius of the innermost stable circular orbit (ISCO).
ost | output stream to give details of the computation; if set to 0x0 [default value], no details will be given. |
Definition at line 80 of file et_rot_isco.C.
References Param::add_cmp(), Param::add_int(), Cmp::annule(), Etoile_rot::bbb, Cmp::dsdr(), Map::get_mg(), Mg3d::get_nzone(), Etoile::mp, Etoile::nnn, Etoile_rot::nphi, Etoile::nzet, Etoile_rot::p_espec_isco, Etoile_rot::p_f_eq, Etoile_rot::p_f_isco, Etoile_rot::p_lspec_isco, Etoile_rot::p_r_isco, Map::r, Etoile::ray_eq(), sqrt(), Cmp::std_base_scal(), Cmp::va, Valeur::val_point(), Map::val_r(), and zerosec().
double Etoile::ray_eq | ( | int | kk | ) | const [inherited] |
Coordinate radius at , [r_unit].
Definition at line 436 of file etoile_global.C.
References Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Mg3d::get_type_p(), Mg3d::get_type_t(), Etoile::l_surf(), Etoile::mp, Map::val_r(), and Etoile::xi_surf().
double Etoile::ray_eq | ( | ) | const [inherited] |
Coordinate radius at , [r_unit].
Definition at line 116 of file etoile_global.C.
References Map::get_mg(), Mg3d::get_nt(), Mg3d::get_type_p(), Mg3d::get_type_t(), Etoile::l_surf(), Etoile::mp, Etoile::p_ray_eq, Map::val_r(), and Etoile::xi_surf().
double Et_rot_bifluid::ray_eq2 | ( | ) | const |
Coordinate radius for fluid 2 at , [r_unit].
Definition at line 532 of file et_bfrot_global.C.
References Map::get_mg(), Mg3d::get_nt(), Mg3d::get_type_p(), Mg3d::get_type_t(), l_surf2(), Etoile::mp, p_ray_eq2, Map::val_r(), and xi_surf2().
double Et_rot_bifluid::ray_eq2_pi | ( | ) | const |
Coordinate radius for fluid 2 at , [r_unit].
Definition at line 623 of file et_bfrot_global.C.
References Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Mg3d::get_type_p(), Mg3d::get_type_t(), l_surf2(), Etoile::mp, p_ray_eq2_pi, ray_eq2(), Map::val_r(), and xi_surf2().
double Et_rot_bifluid::ray_eq2_pis2 | ( | ) | const |
Coordinate radius for fluid 2 at , [r_unit].
Definition at line 566 of file et_bfrot_global.C.
References Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Mg3d::get_type_p(), Mg3d::get_type_t(), l_surf2(), Etoile::mp, p_ray_eq2_pis2, Map::val_r(), and xi_surf2().
double Etoile::ray_eq_3pis2 | ( | ) | const [inherited] |
Coordinate radius at , [r_unit].
Definition at line 331 of file etoile_global.C.
References Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Mg3d::get_type_p(), Mg3d::get_type_t(), Etoile::l_surf(), Etoile::mp, Etoile::p_ray_eq_3pis2, Etoile::ray_eq_pis2(), Map::val_r(), and Etoile::xi_surf().
double Etoile::ray_eq_pi | ( | ) | const [inherited] |
Coordinate radius at , [r_unit].
Definition at line 252 of file etoile_global.C.
References Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Mg3d::get_type_p(), Mg3d::get_type_t(), Etoile::l_surf(), Etoile::mp, Etoile::p_ray_eq_pi, Etoile::ray_eq(), Map::val_r(), and Etoile::xi_surf().
double Etoile::ray_eq_pis2 | ( | ) | const [inherited] |
Coordinate radius at , [r_unit].
Definition at line 165 of file etoile_global.C.
References Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Mg3d::get_type_p(), Mg3d::get_type_t(), Etoile::l_surf(), Etoile::mp, Etoile::p_ray_eq_pis2, Map::val_r(), and Etoile::xi_surf().
double Etoile::ray_pole | ( | ) | const [inherited] |
Coordinate radius at [r_unit].
Definition at line 411 of file etoile_global.C.
References Map::get_mg(), Mg3d::get_type_t(), Etoile::l_surf(), Etoile::mp, Etoile::p_ray_pole, Map::val_r(), and Etoile::xi_surf().
double Et_rot_bifluid::ray_pole2 | ( | ) | const |
Coordinate radius for fluid 2 at [r_unit].
Definition at line 672 of file et_bfrot_global.C.
References Map::get_mg(), l_surf2(), Etoile::mp, p_ray_pole2, Map::val_r(), and xi_surf2().
void Et_rot_bifluid::sauve | ( | FILE * | fich | ) | const [virtual] |
Save in a file.
Reimplemented from Etoile_rot.
Definition at line 319 of file et_rot_bifluid.C.
References ent2, fwrite_be(), omega2, and Tenseur::sauve().
void Et_rot_bifluid::set_der_0x0 | ( | ) | const [protected, virtual] |
Sets to 0x0
all the pointers on derived quantities.
Reimplemented from Etoile_rot.
Definition at line 238 of file et_rot_bifluid.C.
References p_aplat2, p_l_surf2, p_mass_b1, p_mass_b2, p_r_circ2, p_ray_eq2, p_ray_eq2_pi, p_ray_eq2_pis2, p_ray_pole2, and p_xi_surf2.
Sets both enthalpy profiles.
Definition at line 270 of file et_rot_bifluid.C.
References del_deriv(), Etoile::ent, ent2, and equation_of_state().
void Etoile::set_enthalpy | ( | const Cmp & | ent_i | ) | [inherited] |
Assignment of the enthalpy field.
Definition at line 461 of file etoile.C.
References Etoile::del_deriv(), Etoile::ent, and Etoile::equation_of_state().
Map& Etoile::set_mp | ( | ) | [inline, inherited] |
double Etoile_rot::tsw | ( | ) | const [virtual, inherited] |
Ratio T/W.
Reimplemented in Et_rot_diff, and Et_rot_mag.
Definition at line 210 of file et_rot_global.C.
References Etoile::a_car, Etoile_rot::angu_mom(), Etoile_rot::bbb, Etoile::ener, Etoile::gam_euler, Cmp::integrale(), Etoile_rot::logn, Etoile_rot::mass_g(), Etoile::nbar, Etoile_rot::omega, Etoile_rot::p_tsw, Etoile::relativistic, and Cmp::std_base_scal().
void Etoile_rot::update_metric | ( | ) | [inherited] |
Computes metric coefficients from known potentials.
The calculation is performed starting from the quantities logn
, dzeta
, tggg
and shift
, which are supposed to be up to date. From these, the following fields are updated: nnn
, a_car
, bbb
and b_car
.
Definition at line 65 of file et_rot_upmetr.C.
References Etoile::a_car, Etoile_rot::b_car, Etoile_rot::bbb, Etoile_rot::del_deriv(), Cmp::div_rsint(), Etoile_rot::dzeta, exp(), Etoile_rot::extrinsic_curvature(), Etoile_rot::logn, Etoile::nnn, Tenseur::set(), Tenseur::set_etat_qcq(), Tenseur::set_std_base(), Etoile_rot::tggg, and Etoile::unsurc2.
const Tbl & Etoile::xi_surf | ( | ) | const [inherited] |
Description of the stellar surface: returns a 2-D Tbl
containing the values of the radial coordinate on the surface at the collocation points in .
The stellar surface is defined as the location where the enthalpy (member ent
) vanishes.
Definition at line 97 of file etoile_global.C.
References Etoile::l_surf(), Etoile::p_l_surf, and Etoile::p_xi_surf.
const Tbl & Et_rot_bifluid::xi_surf2 | ( | ) | const |
Description of the surface of fluid 2: returns a 2-D Tbl
containing the values of the radial coordinate on the surface at the collocation points in .
This surface is defined as the location where the density 2 (member nbar2
) vanishes.
Definition at line 514 of file et_bfrot_global.C.
References l_surf2(), p_l_surf2, and p_xi_surf2.
double Etoile_rot::z_eqb | ( | ) | const [virtual, inherited] |
Backward redshift factor at equator.
Definition at line 460 of file et_rot_global.C.
References Map::get_mg(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_type_t(), Etoile::mp, Etoile::nnn, Etoile_rot::nphi, Etoile::nzet, Etoile_rot::p_z_eqb, Etoile_rot::r_circ(), sqrt(), and Etoile_rot::uuu.
double Etoile_rot::z_eqf | ( | ) | const [virtual, inherited] |
Forward redshift factor at equator.
Definition at line 428 of file et_rot_global.C.
References Map::get_mg(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_type_t(), Etoile::mp, Etoile::nnn, Etoile_rot::nphi, Etoile::nzet, Etoile_rot::p_z_eqf, Etoile_rot::r_circ(), sqrt(), and Etoile_rot::uuu.
double Etoile_rot::z_pole | ( | ) | const [virtual, inherited] |
Redshift factor at North pole.
Definition at line 495 of file et_rot_global.C.
References Etoile::nnn, Etoile_rot::p_z_pole, and Etoile::ray_pole().
ostream& operator<< | ( | ostream & | , | |
const Etoile & | ||||
) | [friend, inherited] |
Display.
Tenseur Etoile::a_car [protected, inherited] |
Tenseur Etoile_rot::ak_car [protected, inherited] |
Tenseur Etoile_rot::b_car [protected, inherited] |
Tenseur Etoile_rot::bbb [protected, inherited] |
Tenseur Etoile::beta_auto [protected, inherited] |
Tenseur Etoile::d_logn_auto_div [protected, inherited] |
Tenseur Et_rot_bifluid::delta_car [protected] |
The "relative velocity" (squared) of the two fluids.
See Prix et al.(2003) and see also Eos_bifluid
.
Definition at line 177 of file et_rot_bifluid.h.
Tenseur& Etoile_rot::dzeta [protected, inherited] |
Tenseur Etoile::ener [protected, inherited] |
Tenseur Etoile::ener_euler [protected, inherited] |
Tenseur Et_rot_bifluid::enerps_euler [protected] |
the combination : useful because in the Newtonian limit .
Definition at line 165 of file et_rot_bifluid.h.
Tenseur Etoile::ent [protected, inherited] |
Tenseur Et_rot_bifluid::ent2 [protected] |
Log-enthalpy for the second fluid.
Definition at line 144 of file et_rot_bifluid.h.
const Eos_bifluid& Et_rot_bifluid::eos [protected] |
Equation of state for two-fluids model.
Reimplemented from Etoile.
Definition at line 136 of file et_rot_bifluid.h.
Tenseur Etoile::gam_euler [protected, inherited] |
Tenseur Et_rot_bifluid::gam_euler2 [protected] |
Lorentz factor between the fluid 2 and Eulerian observers.
Definition at line 171 of file et_rot_bifluid.h.
Tenseur Et_rot_bifluid::j_euler [protected] |
Total angular momentum (flat-space!) 3-vector , which is related to of the "3+1" decomposition, but expressed in a flat-space triad.
In axisymmetric circular cases, only is nonzero.
Definition at line 162 of file et_rot_bifluid.h.
int Etoile::k_div [protected, inherited] |
Tenseur Etoile_rot::khi_shift [protected, inherited] |
Tenseur& Etoile_rot::logn [protected, inherited] |
Tenseur Etoile::logn_auto [protected, inherited] |
Tenseur Etoile::logn_auto_div [protected, inherited] |
Tenseur Etoile::logn_auto_regu [protected, inherited] |
Map& Etoile::mp [protected, inherited] |
Tenseur Etoile::nbar [protected, inherited] |
Tenseur Et_rot_bifluid::nbar2 [protected] |
Baryon density in the fluid frame, for fluid 2.
Definition at line 146 of file et_rot_bifluid.h.
Tenseur Etoile::nnn [protected, inherited] |
Tenseur Etoile_rot::nphi [protected, inherited] |
Tenseur Etoile_rot::nuf [protected, inherited] |
Tenseur Etoile_rot::nuq [protected, inherited] |
int Etoile::nzet [protected, inherited] |
double Etoile_rot::omega [protected, inherited] |
double Et_rot_bifluid::omega2 [protected] |
Rotation angular velocity for fluid 2 ([f_unit] ).
Definition at line 138 of file et_rot_bifluid.h.
double* Etoile_rot::p_angu_mom [mutable, protected, inherited] |
double* Etoile_rot::p_aplat [mutable, protected, inherited] |
double* Et_rot_bifluid::p_aplat2 [mutable, protected] |
Flatening r_pole/r_eq of fluid no.2.
Definition at line 207 of file et_rot_bifluid.h.
double* Etoile_rot::p_espec_isco [mutable, protected, inherited] |
double* Etoile_rot::p_f_eq [mutable, protected, inherited] |
double* Etoile_rot::p_f_isco [mutable, protected, inherited] |
double* Etoile_rot::p_grv2 [mutable, protected, inherited] |
double* Etoile_rot::p_grv3 [mutable, protected, inherited] |
Itbl* Etoile::p_l_surf [mutable, protected, inherited] |
Itbl* Et_rot_bifluid::p_l_surf2 [mutable, protected] |
Description of the surface of fluid 2: 2-D Itbl
containing the values of the domain index l on the surface at the collocation points in .
Definition at line 198 of file et_rot_bifluid.h.
double* Etoile_rot::p_lspec_isco [mutable, protected, inherited] |
double* Etoile::p_mass_b [mutable, protected, inherited] |
double* Et_rot_bifluid::p_mass_b1 [mutable, protected] |
Baryon mass of fluid 1.
Definition at line 210 of file et_rot_bifluid.h.
double* Et_rot_bifluid::p_mass_b2 [mutable, protected] |
Baryon mass of fluid 2.
Definition at line 211 of file et_rot_bifluid.h.
double* Etoile::p_mass_g [mutable, protected, inherited] |
double* Etoile_rot::p_mom_quad [mutable, protected, inherited] |
double* Etoile_rot::p_r_circ [mutable, protected, inherited] |
double* Et_rot_bifluid::p_r_circ2 [mutable, protected] |
Circumferential radius of fluid no.2.
Definition at line 206 of file et_rot_bifluid.h.
double* Etoile_rot::p_r_isco [mutable, protected, inherited] |
double* Etoile::p_ray_eq [mutable, protected, inherited] |
double* Et_rot_bifluid::p_ray_eq2 [mutable, protected] |
Coordinate radius at , .
Definition at line 183 of file et_rot_bifluid.h.
double* Et_rot_bifluid::p_ray_eq2_pi [mutable, protected] |
Coordinate radius at , .
Definition at line 189 of file et_rot_bifluid.h.
double* Et_rot_bifluid::p_ray_eq2_pis2 [mutable, protected] |
Coordinate radius at , .
Definition at line 186 of file et_rot_bifluid.h.
double* Etoile::p_ray_eq_3pis2 [mutable, protected, inherited] |
double* Etoile::p_ray_eq_pi [mutable, protected, inherited] |
double* Etoile::p_ray_eq_pis2 [mutable, protected, inherited] |
double* Etoile::p_ray_pole [mutable, protected, inherited] |
double* Et_rot_bifluid::p_ray_pole2 [mutable, protected] |
Coordinate radius at .
Definition at line 192 of file et_rot_bifluid.h.
double* Etoile_rot::p_tsw [mutable, protected, inherited] |
Tbl* Etoile::p_xi_surf [mutable, protected, inherited] |
Tbl* Et_rot_bifluid::p_xi_surf2 [mutable, protected] |
Description of the surface of fluid 2: 2-D Tbl
containing the values of the radial coordinate on the surface at the collocation points in .
Definition at line 204 of file et_rot_bifluid.h.
double* Etoile_rot::p_z_eqb [mutable, protected, inherited] |
double* Etoile_rot::p_z_eqf [mutable, protected, inherited] |
double* Etoile_rot::p_z_pole [mutable, protected, inherited] |
Tenseur Etoile::press [protected, inherited] |
bool Etoile::relativistic [protected, inherited] |
Tenseur Etoile::s_euler [protected, inherited] |
Tenseur Etoile::shift [protected, inherited] |
Tenseur Et_rot_bifluid::sphph_euler [protected] |
The component of the stress tensor .
Definition at line 155 of file et_rot_bifluid.h.
Cmp Etoile_rot::ssjm1_dzeta [protected, inherited] |
Cmp Etoile_rot::ssjm1_khi [protected, inherited] |
Effective source at the previous step for the resolution of the Poisson equation for the scalar by means of Map_et::poisson
.
is an intermediate quantity for the resolution of the elliptic equation for the shift vector
Cmp Etoile_rot::ssjm1_nuf [protected, inherited] |
Effective source at the previous step for the resolution of the Poisson equation for nuf
by means of Map_et::poisson
.
Cmp Etoile_rot::ssjm1_nuq [protected, inherited] |
Effective source at the previous step for the resolution of the Poisson equation for nuq
by means of Map_et::poisson
.
Cmp Etoile_rot::ssjm1_tggg [protected, inherited] |
Tenseur Etoile_rot::ssjm1_wshift [protected, inherited] |
Effective source at the previous step for the resolution of the vector Poisson equation for .
is an intermediate quantity for the resolution of the elliptic equation for the shift vector (Components with respect to the Cartesian triad associated with the mapping mp
)
Tenseur Etoile_rot::tggg [protected, inherited] |
Tenseur_sym Etoile_rot::tkij [protected, inherited] |
Tenseur Etoile_rot::tnphi [protected, inherited] |
Tenseur Etoile::u_euler [protected, inherited] |
double Etoile::unsurc2 [protected, inherited] |
Tenseur Etoile_rot::uuu [protected, inherited] |
Tenseur Et_rot_bifluid::uuu2 [protected] |
Norm of the (fluid no.2) 3-velocity with respect to the eulerian observer.
Definition at line 168 of file et_rot_bifluid.h.
Tenseur Etoile_rot::w_shift [protected, inherited] |