83 #include "et_rot_diff.h" 86 #include "graphique.h" 87 #include "utilitaires.h" 92 int nzadapt,
const Tbl& ent_limit,
94 const Tbl& control,
double mbar_wanted,
95 double aexp_mass,
Tbl& diff,
Param*) {
103 char display_bold[]=
"x[1m" ; display_bold[0] = 27 ;
104 char display_normal[] =
"x[0m" ; display_normal[0] = 27 ;
119 int i_b = mg->
get_nr(l_b) - 1 ;
120 int j_b = mg->
get_nt(l_b) - 1 ;
124 double ent_b = ent_limit(
nzet-1) ;
129 int mer_max = icontrol(0) ;
130 int mer_rot = icontrol(1) ;
131 int mer_change_omega = icontrol(2) ;
132 int mer_fix_omega = icontrol(3) ;
133 int mer_mass = icontrol(4) ;
134 int mermax_poisson = icontrol(5) ;
135 int mer_triax = icontrol(6) ;
136 int delta_mer_kep = icontrol(7) ;
139 if (mer_change_omega < mer_rot) {
140 cout <<
"Et_rot_diff::equilibrium: mer_change_omega < mer_rot !" << endl ;
141 cout <<
" mer_change_omega = " << mer_change_omega << endl ;
142 cout <<
" mer_rot = " << mer_rot << endl ;
145 if (mer_fix_omega < mer_change_omega) {
146 cout <<
"Et_rot_diff::equilibrium: mer_fix_omega < mer_change_omega !" 148 cout <<
" mer_fix_omega = " << mer_fix_omega << endl ;
149 cout <<
" mer_change_omega = " << mer_change_omega << endl ;
155 bool change_ent = true ;
158 mer_mass =
abs(mer_mass) ;
161 double precis = control(0) ;
162 double omega_ini = control(1) ;
163 double relax = control(2) ;
164 double relax_prev = double(1) - relax ;
165 double relax_poisson = control(3) ;
166 double thres_adapt = control(4) ;
167 double ampli_triax = control(5) ;
168 double precis_adapt = control(6) ;
175 double& diff_ent = diff.
set(0) ;
176 double& diff_nuf = diff.
set(1) ;
177 double& diff_nuq = diff.
set(2) ;
180 double& diff_shift_x = diff.
set(5) ;
181 double& diff_shift_y = diff.
set(6) ;
182 double& vit_triax = diff.
set(7) ;
193 int nz_search =
nzet + 1 ;
196 double reg_map = 1. ;
198 par_adapt.
add_int(nitermax, 0) ;
200 par_adapt.
add_int(nzadapt, 1) ;
203 par_adapt.
add_int(nz_search, 2) ;
205 par_adapt.
add_int(adapt_flag, 3) ;
224 par_adapt.
add_tbl(ent_limit, 0) ;
230 double precis_poisson = 1.e-16 ;
232 Param par_poisson_nuf ;
233 par_poisson_nuf.
add_int(mermax_poisson, 0) ;
234 par_poisson_nuf.
add_double(relax_poisson, 0) ;
235 par_poisson_nuf.
add_double(precis_poisson, 1) ;
239 Param par_poisson_nuq ;
240 par_poisson_nuq.
add_int(mermax_poisson, 0) ;
241 par_poisson_nuq.
add_double(relax_poisson, 0) ;
242 par_poisson_nuq.
add_double(precis_poisson, 1) ;
246 Param par_poisson_tggg ;
247 par_poisson_tggg.
add_int(mermax_poisson, 0) ;
248 par_poisson_tggg.
add_double(relax_poisson, 0) ;
249 par_poisson_tggg.
add_double(precis_poisson, 1) ;
255 Param par_poisson_dzeta ;
262 Param par_poisson_vect ;
264 par_poisson_vect.
add_int(mermax_poisson, 0) ;
265 par_poisson_vect.
add_double(relax_poisson, 0) ;
266 par_poisson_vect.
add_double(precis_poisson, 1) ;
278 double accrois_omega = (omega_c0 - omega_ini) /
279 double(mer_fix_omega - mer_change_omega) ;
329 ofstream fichconv(
"convergence.d") ;
330 fichconv <<
"# diff_ent GRV2 max_triax vit_triax" << endl ;
332 ofstream fichfreq(
"frequency.d") ;
333 fichfreq <<
"# f [Hz]" << endl ;
335 ofstream fichevol(
"evolution.d") ;
337 "# |dH/dr_eq/dH/dr_pole| r_pole/r_eq ent_c" 341 double err_grv2 = 1 ;
342 double max_triax_prev = 0 ;
348 for(
int mer=0 ; (diff_ent > precis) && (mer<mer_max) ; mer++ ) {
350 cout <<
"-----------------------------------------------" << endl ;
351 cout <<
"step: " << mer << endl ;
352 cout <<
"diff_ent = " << display_bold << diff_ent << display_normal
354 cout <<
"err_grv2 = " << err_grv2 << endl ;
359 if (mer >= mer_rot) {
361 if (mer < mer_change_omega) {
362 omega_c = omega_ini ;
365 if (mer <= mer_fix_omega) {
366 omega_c = omega_ini + accrois_omega *
367 (mer - mer_change_omega) ;
389 source_nuf = qpig *
nbar ;
411 (source_tggg.
set()).mult_rsint() ;
432 for (
int i=0; i<3; i++) {
433 source_shift.set(i) += squad(i) ;
437 source_shift.set_std_base() ;
443 source_nuf().poisson(par_poisson_nuf,
nuf.
set()) ;
445 cout <<
"Test of the Poisson equation for nuf :" << endl ;
446 Tbl err = source_nuf().test_poisson(
nuf(), cout,
true) ;
447 diff_nuf = err(0, 0) ;
453 if (mer == mer_triax) {
455 if ( mg->
get_np(0) == 1 ) {
457 "Et_rot_diff::equilibrium: np must be stricly greater than 1" 458 << endl <<
" to set a triaxial perturbation !" << endl ;
465 perturb = 1 + ampli_triax * sint*sint *
cos(2*phi) ;
479 double max_triax = 0 ;
481 if ( mg->
get_np(0) > 1 ) {
483 for (
int l=0; l<nz; l++) {
484 for (
int j=0; j<mg->
get_nt(l); j++) {
485 for (
int i=0; i<mg->
get_nr(l); i++) {
488 double xcos2p = (*(va_nuf.
c_cf))(l, 2, j, i) ;
491 double xsin2p = (*(va_nuf.
c_cf))(l, 3, j, i) ;
493 double xx =
sqrt( xcos2p*xcos2p + xsin2p*xsin2p ) ;
495 max_triax = ( xx > max_triax ) ? xx : max_triax ;
502 cout <<
"Triaxial part of nuf : " << max_triax << endl ;
510 source_nuq().poisson(par_poisson_nuq,
nuq.
set()) ;
512 cout <<
"Test of the Poisson equation for nuq :" << endl ;
513 err = source_nuq().test_poisson(
nuq(), cout,
true) ;
514 diff_nuq = err(0, 0) ;
521 if (source_shift.get_etat() != ETATZERO) {
523 for (
int i=0; i<3; i++) {
524 if(source_shift(i).dz_nonzero()) {
525 assert( source_shift(i).get_dzpuis() == 4 ) ;
528 (source_shift.set(i)).set_dzpuis(4) ;
536 double lambda_shift = double(1) / double(3) ;
538 if ( mg->
get_np(0) == 1 ) {
542 source_shift.poisson_vect(lambda_shift, par_poisson_vect,
545 cout <<
"Test of the Poisson equation for shift_x :" << endl ;
546 err = source_shift(0).test_poisson(
shift(0), cout,
true) ;
547 diff_shift_x = err(0, 0) ;
549 cout <<
"Test of the Poisson equation for shift_y :" << endl ;
550 err = source_shift(1).test_poisson(
shift(1), cout,
true) ;
551 diff_shift_y = err(0, 0) ;
565 if (mer > mer_fix_omega + delta_mer_kep) {
567 omega_c *= fact_omega ;
571 bool omega_trop_grand = false ;
578 bool superlum = true ;
592 double omeg_min = 0 ;
593 double omeg_max = omega_c ;
594 double precis1 = 1.e-14 ;
595 int nitermax1 = 100 ;
612 ((
uuu.
set()).va).set_base( (tmp.
va).base ) ;
620 for (
int l=0; l<
nzet; l++) {
621 for (
int i=0; i<mg->
get_nr(l); i++) {
623 double u1 =
uuu()(l, 0, j_b, i) ;
626 cout <<
"U > c for l, i : " << l <<
" " << i
627 <<
" U = " << u1 << endl ;
632 cout <<
"**** VELOCITY OF LIGHT REACHED ****" << endl ;
633 omega_c /= fact_omega ;
634 cout <<
"New central rotation frequency : " 635 <<
omega/(2.*M_PI) * f_unit <<
" Hz" << endl ;
636 omega_trop_grand = true ;
657 mlngamma = - 0.5 *
uuu*
uuu ;
661 double nuf_b =
nuf()(l_b, k_b, j_b, i_b) ;
662 double nuq_b =
nuq()(l_b, k_b, j_b, i_b) ;
663 double mlngamma_b = mlngamma()(l_b, k_b, j_b, i_b) ;
664 double primf_b =
prim_field()(l_b, k_b, j_b, i_b) ;
668 double nuf_c =
nuf()(0,0,0,0) ;
669 double nuq_c =
nuq()(0,0,0,0) ;
670 double mlngamma_c = 0 ;
675 double alpha_r2 = ( ent_c - ent_b + mlngamma_c - mlngamma_b
676 + nuq_c - nuq_b + primf_c - primf_b)
677 / ( nuf_b - nuf_c ) ;
678 alpha_r =
sqrt(alpha_r2) ;
679 cout <<
"alpha_r = " << alpha_r << endl ;
685 double nu_c =
logn()(0,0,0,0) ;
697 for (
int l=0; l<
nzet; l++) {
698 int imax = mg->
get_nr(l) - 1 ;
699 if (l == l_b) imax-- ;
700 for (
int i=0; i<imax; i++) {
701 if (
ent()(l, 0, j_b, i) < 0. ) {
703 cout <<
"ent < 0 for l, i : " << l <<
" " << i
704 <<
" ent = " <<
ent()(l, 0, j_b, i) << endl ;
710 cout <<
"**** KEPLERIAN VELOCITY REACHED ****" << endl ;
711 omega_c /= fact_omega ;
712 cout <<
"New central rotation frequency : " 713 << omega_c/(2.*M_PI) * f_unit <<
" Hz" << endl ;
714 omega_trop_grand = true ;
719 if ( omega_trop_grand ) {
721 fact_omega =
sqrt( fact_omega ) ;
722 cout <<
"**** New fact_omega : " << fact_omega << endl ;
733 double dent_eq =
ent().dsdr()(l_b, k_b, j_b, i_b) ;
734 double dent_pole =
ent().dsdr()(l_b, k_b, 0, i_b) ;
735 double rap_dent = fabs( dent_eq / dent_pole ) ;
736 cout <<
"| dH/dr_eq / dH/dr_pole | = " << rap_dent << endl ;
738 if ( rap_dent < thres_adapt ) {
740 cout <<
"******* FROZEN MAPPING *********" << endl ;
792 mp.
poisson2d(source_dzf(), source_dzq(), par_poisson_dzeta,
795 err_grv2 = lbda_grv2 - 1;
796 cout <<
"GRV2: " << err_grv2 << endl ;
811 logn = relax *
logn + relax_prev * logn_prev ;
813 dzeta = relax *
dzeta + relax_prev * dzeta_prev ;
825 fichfreq <<
" " << omega_c / (2*M_PI) * f_unit ;
826 fichevol <<
" " << rap_dent ;
828 fichevol <<
" " << ent_c ;
834 if (mer > mer_mass) {
837 if (mbar_wanted > 0.) {
838 xx =
mass_b() / mbar_wanted - 1. ;
839 cout <<
"Discrep. baryon mass <-> wanted bar. mass : " << xx
843 xx =
mass_g() / fabs(mbar_wanted) - 1. ;
844 cout <<
"Discrep. grav. mass <-> wanted grav. mass : " << xx
847 double xprog = ( mer > 2*mer_mass) ? 1. :
848 double(mer-mer_mass)/double(mer_mass) ;
850 double ax = .5 * ( 2. + xx ) / (1. + xx ) ;
851 double fact =
pow(ax, aexp_mass) ;
852 cout <<
" xprog, xx, ax, fact : " << xprog <<
" " <<
853 xx <<
" " << ax <<
" " << fact << endl ;
859 if (mer%4 == 0) omega_c *= fact ;
869 diff_ent = diff_ent_tbl(0) ;
870 for (
int l=1; l<
nzet; l++) {
871 diff_ent += diff_ent_tbl(l) ;
875 fichconv <<
" " <<
log10( fabs(diff_ent) + 1.e-16 ) ;
876 fichconv <<
" " <<
log10( fabs(err_grv2) + 1.e-16 ) ;
877 fichconv <<
" " <<
log10( fabs(max_triax) + 1.e-16 ) ;
880 if ( (mer > mer_triax+1) && (max_triax_prev > 1e-13) ) {
881 vit_triax = (max_triax - max_triax_prev) / max_triax_prev ;
884 fichconv <<
" " << vit_triax ;
893 max_triax_prev = max_triax ;
Tenseur prim_field
Field .
Tenseur khi_shift
Scalar used in the decomposition of shift , following Shibata's prescription [Prog.
Cmp log(const Cmp &)
Neperian logarithm.
Mtbl_cf * c_cf
Coefficients of the spectral expansion of the function.
void add_tenseur_mod(Tenseur &ti, int position=0)
Adds the address of a new modifiable Tenseur to the list.
Cmp ssjm1_khi
Effective source at the previous step for the resolution of the Poisson equation for the scalar by m...
Component of a tensorial field *** DEPRECATED : use class Scalar instead ***.
Radial mapping of rather general form.
void add_int(const int &n, int position=0)
Adds the address of a new int to the list.
const Tenseur & gradient_spher() const
Returns the gradient of *this (Spherical coordinates) (scalar field only).
const Cmp & cmp_zero() const
Returns the null Cmp defined on *this.
int get_np(int l) const
Returns the number of points in the azimuthal direction ( ) in domain no. l.
void coef() const
Computes the coeffcients of *this.
Cmp sqrt(const Cmp &)
Square root.
void annule(int l)
Sets the Cmp to zero in a given domain.
void set_std_base()
Set the standard spectal basis of decomposition for each component.
void fait_nphi()
Computes tnphi and nphi from the Cartesian components of the shift, stored in shift ...
Tenseur w_shift
Vector used in the decomposition of shift , following Shibata's prescription [Prog.
Standard units of space, time and mass.
Tenseur ssjm1_wshift
Effective source at the previous step for the resolution of the vector Poisson equation for ...
const Mg3d * get_mg() const
Gives the Mg3d on which the mapping is defined.
virtual void hydro_euler()
Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid fram...
double & set(int i)
Read/write of a particular element (index i) (1D case)
Tenseur nnn
Total lapse function.
Tenseur nphi
Metric coefficient .
Tenseur s_euler
Trace of the stress tensor in the Eulerian frame.
double ray_eq() const
Coordinate radius at , [r_unit].
Tenseur flat_scalar_prod(const Tenseur &t1, const Tenseur &t2)
Scalar product of two Tenseur when the metric is : performs the contraction of the last index of t1 w...
virtual void adapt(const Cmp &ent, const Param &par, int nbr=0)=0
Adaptation of the mapping to a given scalar field.
int get_type_t() const
Returns the type of sampling in the direction: SYM : : symmetry with respect to the equatorial pl...
void fait_omega_field(double omeg_min, double omeg_max, double precis, int nitermax)
Computes (member omega_field ).
Basic integer array class.
Values and coefficients of a (real-value) function.
Tenseur press
Fluid pressure.
Cmp cos(const Cmp &)
Cosine.
Tenseur shift
Total shift vector.
Tbl diffrel(const Cmp &a, const Cmp &b)
Relative difference between two Cmp (norme version).
void add_double_mod(double &x, int position=0)
Adds the address of a new modifiable double to the list.
Coord phi
coordinate centered on the grid
void set_etat_qcq()
Sets the logical state to ETATQCQ (ordinary state).
void update_metric()
Computes metric coefficients from known potentials.
Cmp & set()
Read/write for a scalar (see also operator=(const Cmp&) ).
Tenseur u_euler
Fluid 3-velocity with respect to the Eulerian observer.
Cmp ssjm1_nuq
Effective source at the previous step for the resolution of the Poisson equation for nuq by means of ...
void change_triad(const Base_vect &new_triad)
Sets a new vectorial basis (triad) of decomposition and modifies the components accordingly.
virtual void poisson2d(const Cmp &source_mat, const Cmp &source_quad, Param &par, Cmp &uu) const =0
Computes the solution of a 2-D Poisson equation.
Tenseur nbar
Baryon density in the fluid frame.
Tenseur gam_euler
Lorentz factor between the fluid and Eulerian observers.
Tbl par_frot
Parameters of the function .
virtual double grv2() const
Error on the virial identity GRV2.
virtual double mass_b() const
Baryon mass.
void add_tbl(const Tbl &ti, int position=0)
Adds the address of a new Tbl to the list.
void mult_rsint()
Multiplication by .
Map & mp
Mapping associated with the star.
int get_nzone() const
Returns the number of domains.
virtual void equation_of_state()
Computes the proper baryon and energy density, as well as pressure from the enthalpy.
virtual void homothetie(double lambda)
Sets a new radial scale.
Cmp ssjm1_nuf
Effective source at the previous step for the resolution of the Poisson equation for nuf by means of ...
int get_etat() const
Returns the logical state.
Tenseur bbb
Metric factor B.
Cmp pow(const Cmp &, int)
Power .
Active physical coordinates and mapping derivatives.
Tenseur uuu
Norm of u_euler.
Tenseur tggg
Metric potential .
double omega
Rotation angular velocity ([f_unit] )
virtual void partial_display(ostream &) const
Printing of some informations, excluding all global quantities.
Tenseur nuf
Part of the Metric potential = logn generated by the matter terms.
void std_base_scal()
Sets the spectral bases of the Valeur va to the standard ones for a scalar.
int nzet
Number of domains of *mp occupied by the star.
int get_nr(int l) const
Returns the number of points in the radial direction ( ) in domain no. l.
Tenseur a_car
Total conformal factor .
bool relativistic
Indicator of relativity: true for a relativistic star, false for a Newtonian one. ...
double ray_pole() const
Coordinate radius at [r_unit].
const Base_vect_cart & get_bvect_cart() const
Returns the Cartesian basis associated with the coordinates (x,y,z) of the mapping, i.e.
Cmp log10(const Cmp &)
Basis 10 logarithm.
Tenseur ent
Log-enthalpy (relativistic case) or specific enthalpy (Newtonian case)
Cmp abs(const Cmp &)
Absolute value.
virtual void reevaluate(const Map *mp_prev, int nzet, Cmp &uu) const =0
Recomputes the values of a Cmp at the collocation points after a change in the mapping.
void add_double(const double &x, int position=0)
Adds the the address of a new double to the list.
Tenseur & logn
Metric potential = logn_auto.
int get_nt(int l) const
Returns the number of points in the co-latitude direction ( ) in domain no. l.
virtual double mass_g() const
Gravitational mass.
void set_etat_qcq()
Sets the logical state to ETATQCQ (ordinary state).
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.
void add_cmp_mod(Cmp &ti, int position=0)
Adds the address of a new modifiable Cmp to the list.
Tenseur nuq
Part of the Metric potential = logn generated by the quadratic terms.
Tenseur ener_euler
Total energy density in the Eulerian frame.
Tenseur & dzeta
Metric potential = beta_auto.
Valeur va
The numerical value of the Cmp.
Cmp ssjm1_tggg
Effective source at the previous step for the resolution of the Poisson equation for tggg ...
Tenseur_sym tkij
Tensor related to the extrinsic curvature tensor by .
Tensor handling *** DEPRECATED : use class Tensor instead ***.
void add_int_mod(int &n, int position=0)
Adds the address of a new modifiable int to the list.
Tenseur omega_field
Field .