|
| | Binaire (Map &mp1, int nzet1, const Eos &eos1, int irrot1, Map &mp2, int nzet2, const Eos &eos2, int irrot2, int relat) |
| | Standard constructor.
|
| | Binaire (const Binaire &) |
| | Binaire (Map &mp1, const Eos &eos1, Map &mp2, const Eos &eos2, FILE *fich) |
| | Copy constructor.
|
| void | operator= (const Binaire &) |
| | Assignment to another {\tt Binaire}.
|
| Etoile_bin & | set (int i) |
| | Read/write of the star no. i.
|
| double & | set_omega () |
| | Sets the orbital angular velocity [{\tt f_unit}].
|
| double & | set_x_axe () |
| | Sets the absolute coordinate X of the rotation axis [{\tt r_unit}].
|
| const Etoile_bin & | operator() (int i) const |
| | Returns a reference to the star no. i.
|
| double | get_omega () const |
| | Returns the orbital angular velocity [{\tt f_unit}].
|
| double | get_x_axe () const |
| | Returns the absolute coordinate X of the rotation axis [{\tt r_unit}].
|
| double | separation () const |
| | Returns the coordinate separation of the two stellar centers [{\tt r_unit}].
|
| void | sauve (FILE *) const |
| void | display_poly (ostream &) const |
| | Display in polytropic units.
|
| void | write_global (ostream &) const |
| | Write global quantities in a formatted file.
|
| double | mass_adm () const |
| | Total ADM mass.
|
| double | mass_kom () const |
| | Total Komar mass.
|
| const Tbl & | angu_mom () const |
| | Total angular momentum.
|
| double | total_ener () const |
| | Total energy (excluding the rest mass energy).
|
| double | virial () const |
| | Estimates the relative error on the virial theorem (for a relativistic one, it returns $|1 - M_{\rm Komar} / M_{\rm ADM}|$).
|
| double | virial_gb () const |
| | Estimates the relative error on the virial theorem calculated by E.Gourgoulhon and S.Bonazzola (Class.
|
| double | virial_fus () const |
| | Estimates the relative error on the virial theorem calculated by J.L.Friedman, K.Uryu, and M.Shibata (PRD accepted, gr-qc/0108070).
|
| double | ham_constr () const |
| | Estimates the relative error on the Hamiltonian constraint equation by comparing $\underline\Delta\ln A$ with \begin{equation} -4\pi A^2 E - {A^2\over 4} K_{ij} K^{ij} - {1\over 2} {\overline\nabla}_i \ln A {\overline\nabla}^i \ln A \end{equation}.
|
| const Tbl & | mom_constr () const |
| | Estimates the relative error on the momentum constraint equation by comparing ${\overline\nabla}_j K^{ij}$ with \begin{equation} 8\pi J^i - 5 K^{ij} {\overline\nabla}_j \ln A \end{equation}.
|
| void | orbit (double fact_omeg_min, double fact_omeg_max, double &xgg1, double &xgg2) |
| | Computes the orbital angular velocity {\tt omega} and the position of the rotation axis {\tt x_axe}.
|
| void | orbit_eqmass (double fact_omeg_min, double fact_omeg_max, double mass1, double mass2, double &xgg1, double &xgg2) |
| | Computes the orbital angular velocity {\tt omega} and the position of the rotation axis {\tt x_axe}.
|
| void | analytical_omega () |
| | Sets the orbital angular velocity to some 2-PN analytical value (Keplerian value in the Newtonian case).
|
| void | analytical_shift () |
| | Sets some analytical template for the shift vector (via the members {\tt w_shift} and {\tt khi_shift} of the two {\tt Etoile_bin}.
|
|
| const Base_vect_cart | ref_triad |
| | Cartesian triad of the absolute reference frame.
|
| Etoile_bin | star1 |
| | First star of the system.
|
| Etoile_bin | star2 |
| | Second star of the system.
|
| Etoile_bin * | et [2] |
| | Array of the two stars (to perform loops on the stars): {\tt et[0]} contains the address of {\tt star1} and {\tt et[1]} that of {\tt star2}.
|
| double | omega |
| | Angular velocity with respect to an asymptotically inertial observer.
|
| double | x_axe |
| | Absolute X coordinate of the rotation axis.
|
| double * | p_mass_adm |
| | Total ADM mass of the system.
|
| double * | p_mass_kom |
| | Total Komar mass of the system.
|
| Tbl * | p_angu_mom |
| | Total angular momentum of the system.
|
| double * | p_total_ener |
| | Total energy of the system.
|
| double * | p_virial |
| | Virial theorem error.
|
| double * | p_virial_gb |
| | Virial theorem error by E.Gourgoulhon and S.Bonazzola.
|
| double * | p_virial_fus |
| | Virial theorem error by J.L.Friedman, K.Uryu, and M.Shibata.
|
| double * | p_ham_constr |
| | Relative error on the Hamiltonian constraint.
|
| Tbl * | p_mom_constr |
| | Relative error on the momentum constraint.
|
Binary systems.
- Version
- #$Id: binaire.h,v 1.6 2014/10/13 08:52:32 j_novak Exp $#
Definition at line 104 of file binaire.h.
| Lorene::Binaire::Binaire |
( |
Map & | mp1, |
|
|
int | nzet1, |
|
|
const Eos & | eos1, |
|
|
int | irrot1, |
|
|
Map & | mp2, |
|
|
int | nzet2, |
|
|
const Eos & | eos2, |
|
|
int | irrot2, |
|
|
int | relat ) |
Standard constructor.
- Parameters
-
| mp1 | Mapping on which {\tt star1} will be defined |
| nzet1 | Number of domains occupied by {\tt star1} |
| eos1 | Equation of state of {\tt star1} |
| irrot1 | should be {\tt true} if {\tt star1} is irrotational, {\tt false} if {\tt star1} is corotating |
| mp2 | Mapping on which {\tt star2} will be defined |
| nzet2 | Number of domains occupied by {\tt star2} |
| eos2 | Equation of state of {\tt star2} |
| irrot2 | should be {\tt true} if {\tt star2} is irrotational, {\tt false} if {\tt star2} is corotating |
| relat | should be {\tt true} for a relativistic configuration, {\tt false} for a Newtonian one |
Definition at line 109 of file binaire.C.
References et, Lorene::Map(), omega, ref_triad, set_der_0x0(), star1, star2, and x_axe.
| Lorene::Binaire::Binaire |
( |
Map & | mp1, |
|
|
const Eos & | eos1, |
|
|
Map & | mp2, |
|
|
const Eos & | eos2, |
|
|
FILE * | fich ) |
Copy constructor.
Constructor from a file (see {\tt sauve(FILE* )}).
- Parameters
-
| mp1 | Mapping on which {\tt star1} will be defined |
| eos1 | Equation of state of {\tt star1} |
| mp2 | Mapping on which {\tt star2} will be defined |
| eos2 | Equation of state of {\tt star2} |
| fich | input file (must have been created by the function {\tt sauve}) |
Definition at line 145 of file binaire.C.
References et, Lorene::fread_be(), Lorene::Map(), omega, ref_triad, set_der_0x0(), star1, star2, and x_axe.
| double Lorene::Binaire::ham_constr |
( |
| ) |
const |
| void Lorene::Binaire::orbit |
( |
double | fact_omeg_min, |
|
|
double | fact_omeg_max, |
|
|
double & | xgg1, |
|
|
double & | xgg2 ) |
Computes the orbital angular velocity {\tt omega} and the position of the rotation axis {\tt x_axe}.
- Parameters
-
| fact_omeg_min | [input] : determines the lower bound of the interval {\tt [omega_min, omega_max]} in which {\tt omega} is searched by {\tt omega_min = fact_omeg_min * omega}, where {\tt omega} is the previous value of the angular velocity (typical value : {\tt fact_omeg_min = 0.5}) |
| fact_omeg_max | [input] : determines the higher bound of the interval {\tt [omega_min, omega_max]} in which {\tt omega} is searched by {\tt omega_max = fact_omeg_max * omega}, where {\tt omega} is the previous value of the angular velocity. (typical value : {\tt fact_omeg_max = 1.5}) |
| xgg1 | [output] : x coordinate (relative to star 1 mapping) of the ``center of mass'' of star 1 |
| xgg2 | [output] : x coordinate (relative to star 2 mapping) of the ``center of mass'' of star 2 |
Definition at line 122 of file binaire_orbite.C.
References Lorene::Param::add_double(), Lorene::Param::add_int(), Lorene::Tenseur::change_triad(), Lorene::Cmp::dsdx(), et, Lorene::flat_scalar_prod(), Lorene::Tbl::get_taille(), Lorene::Tenseur::get_triad(), Lorene::Map(), omega, ref_triad, x_axe, Lorene::zero_list(), Lorene::zerosec(), and Lorene::zerosec_b().
| void Lorene::Binaire::orbit_eqmass |
( |
double | fact_omeg_min, |
|
|
double | fact_omeg_max, |
|
|
double | mass1, |
|
|
double | mass2, |
|
|
double & | xgg1, |
|
|
double & | xgg2 ) |
Computes the orbital angular velocity {\tt omega} and the position of the rotation axis {\tt x_axe}.
- Parameters
-
| fact_omeg_min | [input] : determines the lower bound of the interval {\tt [omega_min, omega_max]} in which {\tt omega} is searched by {\tt omega_min = fact_omeg_min * omega}, where {\tt omega} is the previous value of the angular velocity (typical value : {\tt fact_omeg_min = 0.5}) |
| fact_omeg_max | [input] : determines the higher bound of the interval {\tt [omega_min, omega_max]} in which {\tt omega} is searched by {\tt omega_max = fact_omeg_max * omega}, where {\tt omega} is the previous value of the angular velocity. (typical value : {\tt fact_omeg_max = 1.5}) |
| mass1 | [input] : baryon rest mass of NS1 |
| mass2 | [input] : baryon rest mass of NS2 |
| xgg1 | [output] : x coordinate (relative to star 1 mapping) of the ``center of mass'' of star 1 |
| xgg2 | [output] : x coordinate (relative to star 2 mapping) of the ``center of mass'' of star 2 |
Definition at line 464 of file binaire_orbite.C.
References Lorene::Param::add_double(), Lorene::Param::add_int(), Lorene::Tenseur::change_triad(), Lorene::Cmp::dsdx(), et, Lorene::flat_scalar_prod(), Lorene::Tbl::get_taille(), Lorene::Tenseur::get_triad(), Lorene::Map(), omega, ref_triad, x_axe, Lorene::zero_list(), Lorene::zerosec(), and Lorene::zerosec_b().
| double Lorene::Binaire::total_ener |
( |
| ) |
const |
Total energy (excluding the rest mass energy).
In the Newtonian case, it is defined as the sum of kinetic, internal, and gravitational potential energies.
In the relativistic case, it is defined as $M_{\rm ADM} - M_{\rm bar,1} - M_{\rm bar,2}$.
Definition at line 289 of file binaire_global.C.
References et, Lorene::flat_scalar_prod(), Lorene::Cmp::integrale(), mass_adm(), p_total_ener, star1, and star2.
| double Lorene::Binaire::virial_fus |
( |
| ) |
const |
Estimates the relative error on the virial theorem calculated by J.L.Friedman, K.Uryu, and M.Shibata (PRD accepted, gr-qc/0108070).
The expression used in the LORENE is Eq.(5.7) in the paper by M.Shibata and K.Uryu (PRD64, 104017 (2001))
Definition at line 481 of file binaire_global.C.
References et, Lorene::flat_scalar_prod(), Lorene::Cmp::integrale(), mass_adm(), p_virial_fus, Lorene::sqrt(), star1, star2, Lorene::Cmp::std_base_scal(), and virial().
| double Lorene::Binaire::virial_gb |
( |
| ) |
const |
Estimates the relative error on the virial theorem calculated by E.Gourgoulhon and S.Bonazzola (Class.
Quantum Grav. 11, 443 (1994): Eq.(29)) normalized by $2 \pi G$.
Definition at line 408 of file binaire_global.C.
References et, Lorene::flat_scalar_prod(), Lorene::Cmp::integrale(), mass_adm(), p_virial_gb, Lorene::sqrt(), star1, star2, Lorene::Cmp::std_base_scal(), and virial().
1.15.0