LORENE
time_slice.h
1/*
2 * Definition of Lorene class Time_slice
3 *
4 */
5
6/*
7 * Copyright (c) 2004 Eric Gourgoulhon, Jose Luis Jaramillo & Jerome Novak
8 *
9 * This file is part of LORENE.
10 *
11 * LORENE is free software; you can redistribute it and/or modify
12 * it under the terms of the GNU General Public License version 2
13 * as published by the Free Software Foundation.
14 *
15 * LORENE is distributed in the hope that it will be useful,
16 * but WITHOUT ANY WARRANTY; without even the implied warranty of
17 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
18 * GNU General Public License for more details.
19 *
20 * You should have received a copy of the GNU General Public License
21 * along with LORENE; if not, write to the Free Software
22 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
23 *
24 */
25
26#ifndef __TIME_SLICE_H_
27#define __TIME_SLICE_H_
28
29/*
30 * $Id: time_slice.h,v 1.32 2014/10/13 08:52:37 j_novak Exp $
31 * $Log: time_slice.h,v $
32 * Revision 1.32 2014/10/13 08:52:37 j_novak
33 * Lorene classes and functions now belong to the namespace Lorene.
34 *
35 * Revision 1.31 2012/02/06 12:59:07 j_novak
36 * Correction of some errors.
37 *
38 * Revision 1.30 2010/10/20 07:58:09 j_novak
39 * Better implementation of the explicit time-integration. Not fully-tested yet.
40 *
41 * Revision 1.29 2008/12/04 18:22:49 j_novak
42 * Enhancement of the dzpuis treatment + various bug fixes.
43 *
44 * Revision 1.28 2008/12/02 15:02:21 j_novak
45 * Implementation of the new constrained formalism, following Cordero et al. 2009
46 * paper. The evolution eqs. are solved as a first-order system. Not tested yet!
47 *
48 * Revision 1.27 2008/08/19 06:41:59 j_novak
49 * Minor modifications to avoid warnings with gcc 4.3. Most of them concern
50 * cast-type operations, and constant strings that must be defined as const char*
51 *
52 * Revision 1.26 2007/11/06 14:47:06 j_novak
53 * New constructor from a rotating star in Dirac gauge (class Star_rot_Dirac).
54 * Evolution can take into account matter terms.
55 *
56 * Revision 1.25 2007/04/25 15:20:59 j_novak
57 * Corrected an error in the initialization of tildeB in
58 * Tslice_dirac_max::initial_dat_cts. + New method for solve_hij_AB.
59 *
60 * Revision 1.24 2007/03/21 14:51:48 j_novak
61 * Introduction of potentials A and tilde(B) of h^{ij} into Tslice_dirac_max.
62 *
63 * Revision 1.23 2005/03/28 19:44:00 f_limousin
64 * Function tgam() is now virtual.
65 *
66 * Revision 1.22 2004/06/24 20:36:07 e_gourgoulhon
67 * Class Time_slice_conf: added method check_psi_dot.
68 *
69 * Revision 1.21 2004/06/14 20:46:35 e_gourgoulhon
70 * Added argument method_poisson to Tslice_dirac_max::solve_hij.
71 *
72 * Revision 1.20 2004/05/31 20:28:20 e_gourgoulhon
73 * -- Class Time_slice : added inline functions get_latest_j() and
74 * get_time()
75 * -- Class Tslice_dirac_max: method hh_det_one takes now a time step
76 * as argument, to compute h^{ij} from khi and mu at an arbitrary
77 * time step and not only the latest one.
78 *
79 * Revision 1.19 2004/05/27 15:22:28 e_gourgoulhon
80 * Added functions save and sauve, as well as constructors from file.
81 *
82 * Revision 1.18 2004/05/20 20:30:37 e_gourgoulhon
83 * Added arguments check_mod and save_mod to method Tsclice_dirac_max::evolve.
84 *
85 * Revision 1.17 2004/05/17 19:52:16 e_gourgoulhon
86 * -- Method initial_data_cts: added arguments graph_device and
87 * method_poisson_vect.
88 * -- Method Tslice_dirac_max::solve_beta : added argument method
89 * -- Method Tslice_dirac_max::solve_hij : added argument graph_device
90 * -- Method Tslice_dirac_max::evolve : added arguments
91 * method_poisson_vect, nopause and graph_device.
92 *
93 * Revision 1.16 2004/05/12 15:16:25 e_gourgoulhon
94 * Added #include "metric.h" before #include "evolution.h".
95 *
96 * Revision 1.15 2004/05/09 20:56:09 e_gourgoulhon
97 * Added member adm_mass_evol and corresponding virtual method adm_mass().
98 *
99 * Revision 1.14 2004/05/06 15:23:10 e_gourgoulhon
100 * initial_data_cts is know a virtual function of class Time_slice_conf
101 * and is implemented also for class Tslice_dirac_max.
102 *
103 * Revision 1.13 2004/05/03 14:46:11 e_gourgoulhon
104 * Class Tslice_dirac_max: -- changed prototype of method solve_hij
105 * -- added new method evolve
106 *
107 * Revision 1.12 2004/04/30 14:36:15 j_novak
108 * Added the method Tslice_dirac_max::solve_hij(...)
109 * NOT READY YET!!!
110 *
111 * Revision 1.11 2004/04/30 10:51:38 e_gourgoulhon
112 * Class Tslice_dirac_max: added methods solve_n, solve_q and solve_beta
113 * for resolution of the elliptic part of Einstein equations.
114 *
115 * Revision 1.10 2004/04/29 17:07:27 e_gourgoulhon
116 * Added argument pdt to Time_slice_conf::initial_data_cts.
117 *
118 * Revision 1.9 2004/04/08 16:42:11 e_gourgoulhon
119 * Many changes:
120 * -- class Time_slice_conf: added methods set_*, changed argument list of
121 * method initial_data_cts.
122 * -- class Tslice_dirac_max: added methods set_* and hh_det_one().
123 *
124 * Revision 1.8 2004/04/05 21:21:51 e_gourgoulhon
125 * class Time_slice_conf: added method initial_data_cts (computation of
126 * initial data from conformally thin sandwich method).
127 * classes Time_slice_conf and Tslice_dirac_max: added constructor as
128 * standard time slice of Minkowski spacetime.
129 *
130 * Revision 1.7 2004/04/01 16:09:01 j_novak
131 * Trace of K_ij is now member of Time_slice (it was member of Time_slice_conf).
132 * Added new methods for checking 3+1 Einstein equations (preliminary).
133 *
134 * Revision 1.6 2004/03/30 14:00:30 j_novak
135 * New class Tslide_dirac_max (first version).
136 *
137 * Revision 1.5 2004/03/29 11:58:53 e_gourgoulhon
138 * Many modif. to class Time_slice_conf.
139 * Minor modif. to class Time_slice.
140 *
141 * Revision 1.4 2004/03/28 21:33:14 e_gourgoulhon
142 * Constructor Time_slice::Time_slice(int depth_in) declared "explicit".
143 *
144 * Revision 1.3 2004/03/28 21:27:57 e_gourgoulhon
145 * Class Time_slice: - renamed the Evolution_std with suffix "_evol".
146 * - added protected constructor for derived classes
147 * Added class Time_slice_conf.
148 *
149 * Revision 1.2 2004/03/26 13:33:02 j_novak
150 * New methods for accessing/updating members (nn(), beta(), gam_uu(), k_uu(), ...)
151 *
152 * Revision 1.1 2004/03/24 14:56:18 e_gourgoulhon
153 * First version
154 *
155 *
156 * $Header: /cvsroot/Lorene/C++/Include/time_slice.h,v 1.32 2014/10/13 08:52:37 j_novak Exp $
157 *
158 */
159
160#include "star_rot_dirac.h"
161#include "evolution.h"
162
163 //---------------------------//
164 // class Time_slice //
165 //---------------------------//
166
167namespace Lorene {
174
175 // Data :
176 // -----
177 protected:
179 int depth ;
180
188
190 int jtime ;
191
194
199
204
209
214
217
220
225
234
235 // Derived data :
236 // ------------
237 protected:
239 mutable Metric* p_gamma ;
240
241 // Constructors - Destructor
242 // -------------------------
243 public:
244
256 Time_slice(const Scalar& lapse_in, const Vector& shift_in,
257 const Sym_tensor& gamma_in, const Sym_tensor& kk_in,
258 int depth_in = 3) ;
259
269 Time_slice(const Scalar& lapse_in, const Vector& shift_in,
270 const Evolution_std<Sym_tensor>& gamma_in) ;
271
282 Time_slice(const Map& mp, const Base_vect& triad, int depth_in = 3) ;
283
298 Time_slice(const Map& mp, const Base_vect& triad, FILE* fich,
299 bool partial_read, int depth_in = 3) ;
300
301 Time_slice(const Time_slice& ) ;
302
303 protected:
307 explicit Time_slice(int depth_in) ;
308
309 public:
310 virtual ~Time_slice() ;
311
312
313 // Memory management
314 // -----------------
315 protected:
316
318 virtual void del_deriv() const ;
319
321 void set_der_0x0() const ;
322
323
324 // Mutators / assignment
325 // ---------------------
326 public:
328 void operator=(const Time_slice&) ;
329
331 void set_scheme_order(int ord) {
332 assert ((0<= ord)&&(ord < 4)) ;
333 scheme_order = ord ; } ;
334
335 // Accessors
336 // ---------
337 public:
338
340 int get_scheme_order() const { return scheme_order ; } ;
341
343 int get_latest_j() const {return jtime; } ;
344
346 const Evolution_std<double>& get_time() const {return the_time; } ;
347
349 virtual const Scalar& nn() const ;
350
352 virtual const Vector& beta() const ;
353
355 const Metric& gam() const ;
356
360 virtual const Sym_tensor& gam_dd() const ;
361
365 virtual const Sym_tensor& gam_uu() const ;
366
370 virtual const Sym_tensor& k_dd() const ;
371
375 virtual const Sym_tensor& k_uu() const ;
376
380 virtual const Scalar& trk() const ;
381
382
383 // Computational functions
384 // -----------------------
385 public:
401 Tbl check_hamiltonian_constraint(const Scalar* energy_density = 0x0,
402 ostream& ost = cout, bool verb=true) const ;
403
419 Tbl check_momentum_constraint(const Vector* momentum_density = 0x0,
420 ostream& ost = cout, bool verb=true) const ;
421
444 Tbl check_dynamical_equations(const Sym_tensor* strain_tensor = 0x0,
445 const Scalar* energy_density = 0x0,
446 ostream& ost = cout, bool verb=true) const ;
447
452 virtual double adm_mass() const ;
453
454 // Outputs
455 // -------
456 protected:
458 virtual ostream& operator>>(ostream& ) const ;
459
461 friend ostream& operator<<(ostream& , const Time_slice& ) ;
462
463 public:
470 void save(const char* rootname) const ;
471
472 protected:
481 virtual void sauve(FILE* fich, bool partial_save) const ;
482
483};
484
485ostream& operator<<(ostream& , const Time_slice& ) ;
486
487
488
489 //---------------------------//
490 // class Time_slice_conf //
491 //---------------------------//
492
499
500 // Data :
501 // -----
502 protected:
503
507 const Metric_flat& ff ;
508
518
523
524
531
543
548
553
554 // Derived data :
555 // ------------
556 protected:
560 mutable Metric* p_tgamma ;
561
563 mutable Scalar* p_psi4 ;
564
566 mutable Scalar* p_ln_psi ;
567
571 mutable Vector* p_hdirac ;
572
577 mutable Vector* p_vec_X ;
578
579 // Constructors - Destructor
580 // -------------------------
581 public:
582
607 Time_slice_conf(const Scalar& lapse_in, const Vector& shift_in,
608 const Metric_flat& ff_in, const Scalar& psi_in,
609 const Sym_tensor& hh_in, const Sym_tensor& hata_in,
610 const Scalar& trk_in, int depth_in = 3) ;
611
612
627 Time_slice_conf(const Scalar& lapse_in, const Vector& shift_in,
628 const Sym_tensor& gamma_in, const Sym_tensor& kk_in,
629 const Metric_flat& ff_in, int depth_in = 3) ;
630
643 Time_slice_conf(const Map& mp, const Base_vect& triad,
644 const Metric_flat& ff_in, int depth_in = 3) ;
645
662 Time_slice_conf(const Map& mp, const Base_vect& triad,
663 const Metric_flat& ff_in, FILE* fich,
664 bool partial_read, int depth_in = 3) ;
665
667
668 virtual ~Time_slice_conf() ;
669
670
671 // Memory management
672 // -----------------
673 protected:
674
676 virtual void del_deriv() const ;
677
679 void set_der_0x0() const ;
680
681
682 // Mutators / assignment
683 // ---------------------
684 public:
686 void operator=(const Time_slice_conf&) ;
687
689 void operator=(const Time_slice&) ;
690
701 virtual void set_psi_del_npsi(const Scalar& psi_in) ;
702
713 virtual void set_psi_del_n(const Scalar& psi_in) ;
714
719 virtual void set_npsi_del_psi(const Scalar& npsi_in) ;
720
725 virtual void set_npsi_del_n(const Scalar& npsi_in) ;
726
735 virtual void set_hh(const Sym_tensor& hh_in) ;
736
743 virtual void set_hata(const Sym_tensor& hata_in) ;
744
748 virtual void set_hata_TT(const Sym_tensor_tt& hata_tt) ;
749
756 virtual void set_hata_from_XAB(Param* par_bc=0x0, Param* par_mat=0x0) ;
757
758 // Accessors
759 // ---------
760 public:
761
762 // Virtual functions from base class Time_slice:
763 // ---------------------------------------------
764
766 virtual const Scalar& nn() const ;
767
771 virtual const Sym_tensor& gam_dd() const ;
772
776 virtual const Sym_tensor& gam_uu() const ;
777
781 virtual const Sym_tensor& k_dd() const ;
782
786 virtual const Sym_tensor& k_uu() const ;
787
788 // Virtual functions from this class:
789 // ----------------------------------
790
795 virtual const Scalar& A_hata() const ;
796
801 virtual const Scalar& B_hata() const ;
802
810 virtual const Scalar& psi() const ;
811
813 const Scalar& psi4() const ;
814
816 const Scalar& ln_psi() const ;
817
820 virtual const Scalar& npsi() const ;
821
826 virtual const Metric& tgam() const ;
827
834 virtual const Sym_tensor& hh(Param* = 0x0, Param* = 0x0) const ;
835
841 virtual const Sym_tensor& hata() const ;
842
848 virtual Sym_tensor aa() const ;
849
853 virtual const Scalar& trk() const ;
854
858 virtual const Vector& hdirac() const ;
859
863 virtual const Vector& vec_X(int method_poisson=6) const ;
864
865 // Computational methods
866 // ---------------------
867 public:
872 (const Vector& hat_S, const Sym_tensor_tt& hata_tt,
873 int iter_max = 200, double precis = 1.e-12,
874 double relax = 0.8, int methode_poisson = 6) ;
875
881 virtual void set_AB_hata(const Scalar& A_in, const Scalar& B_in) ;
882
916 virtual void initial_data_cts(const Sym_tensor& uu, const Scalar& trk_in,
917 const Scalar& trk_point, double pdt, double precis = 1.e-12,
918 int method_poisson_vect = 6, const char* graph_device = 0x0,
919 const Scalar* ener_dens = 0x0, const Vector* mom_dens = 0x0,
920 const Scalar* trace_stress = 0x0 ) ;
921
926 virtual double adm_mass() const ;
927
939 void check_psi_dot(Tbl& tlnpsi_dot, Tbl& tdiff, Tbl& tdiff_rel) const ;
940
941 // Outputs
942 // -------
943 protected:
945 virtual ostream& operator>>(ostream& ) const ;
946
955 virtual void sauve(FILE* fich, bool partial_save) const ;
956
957} ;
958 //----------------------------//
959 // class Tslice_dirac_max //
960 //----------------------------//
961
969
970 // Data :
971 // -----
972 protected:
978
984
990
996
1002
1008
1010 mutable Evolution_std<Scalar> trh_evol ;
1011
1012
1013 // Constructors - Destructor
1014 // -------------------------
1015 public:
1040 Tslice_dirac_max(const Scalar& lapse_in, const Vector& shift_in,
1041 const Metric_flat& ff_in, const Scalar& psi_in,
1042 const Sym_tensor_trans& hh_in, const Sym_tensor& hata_in,
1043 int depth_in = 3) ;
1044
1057 Tslice_dirac_max(const Map& mp, const Base_vect& triad,
1058 const Metric_flat& ff_in, int depth_in = 3) ;
1059
1076 Tslice_dirac_max(const Map& mp, const Base_vect& triad,
1077 const Metric_flat& ff_in, FILE* fich,
1078 bool partial_read, int depth_in = 3) ;
1079
1081 Tslice_dirac_max(const Star_rot_Dirac& star, double pdt, int depth_in = 3) ;
1082
1084
1085 virtual ~Tslice_dirac_max() ;
1086
1087
1088 // Mutators / assignment
1089 // ---------------------
1090 public:
1092 void operator=(const Tslice_dirac_max&) ;
1093
1094 // Virtual functions from base class Time_slice_conf:
1095 // -------------------------------------------------
1096
1105 virtual void set_hh(const Sym_tensor& hh_in) ;
1106
1140 virtual void initial_data_cts(const Sym_tensor& uu, const Scalar& trk_in,
1141 const Scalar& trk_point, double pdt, double precis = 1.e-12,
1142 int method_poisson_vect = 6, const char* graph_device = 0x0,
1143 const Scalar* ener_dens = 0x0, const Vector* mom_dens = 0x0,
1144 const Scalar* trace_stress = 0x0 ) ;
1145
1146 // Virtual functions from this class:
1147 // ----------------------------------
1148
1156 virtual void set_khi_mu(const Scalar& khi_in, const Scalar& mu_in) ;
1157
1164 virtual void set_AB_hh(const Scalar& A_in, const Scalar& B_in) ;
1165
1172 virtual void set_trh(const Scalar& trh_in) ;
1173
1184 virtual Scalar solve_psi(const Scalar* ener_dens=0x0) const ;
1185
1201 virtual Scalar solve_npsi(const Scalar* ener_dens=0x0,
1202 const Scalar* trace_stress=0x0) const ;
1203
1214 virtual Vector solve_beta(int method = 6) const ;
1215
1237 void evolve(double pdt, int nb_time_steps, int niter_elliptic,
1238 double relax_elliptic, int check_mod, int save_mod,
1239 int method_poisson_vect = 6, int nopause = 1,
1240 const char* graph_device = 0x0, bool verbose=true,
1241 const Scalar* ener_euler = 0x0,
1242 const Vector* mom_euler = 0x0, const Scalar* s_euler = 0x0,
1243 const Sym_tensor* strain_euler = 0x0) ;
1244
1249 virtual double adm_mass() const ;
1250
1251 protected:
1260 void compute_sources(const Sym_tensor* strain_tensor = 0x0) const ;
1261
1263 void initialize_sources_copy() const ;
1264
1272 void hh_det_one(int j, Param* par_bc = 0x0, Param* par_mat = 0x0) const ;
1273
1279 void hh_det_one(const Sym_tensor_tt& hijtt, Param* par_mat = 0x0) const ;
1280
1281 // Accessors
1282 // ---------
1283 public:
1284 // Virtual functions from base class Time_slice_conf:
1285 // -------------------------------------------------
1286
1293 virtual const Sym_tensor& hh(Param* par_bc = 0x0, Param* par_mat = 0x0) const ;
1294
1299 virtual const Scalar& trk() const ;
1300
1305 virtual const Vector& hdirac() const ;
1306
1307 // Virtual functions from this class:
1308 // ----------------------------------
1309
1314 virtual const Scalar& A_hh() const ;
1315
1320 virtual const Scalar& B_hh() const ;
1321
1326 virtual const Scalar& trh() const ;
1327
1328
1329 // Outputs
1330 // -------
1331 protected:
1333 virtual ostream& operator>>(ostream& ) const ;
1334
1343 virtual void sauve(FILE* fich, bool partial_save) const ;
1344
1345};
1346}
1347#endif
Vectorial bases (triads) with respect to which the tensorial components are defined.
Definition base_vect.h:105
Time evolution with full storage (*** under development ***).
Definition evolution.h:270
Time evolution with partial storage (*** under development ***).
Definition evolution.h:371
Base class for coordinate mappings.
Definition map.h:670
Flat metric for tensor calculation.
Definition metric.h:261
Metric for tensor calculation.
Definition metric.h:90
Parameter storage.
Definition param.h:125
Tensor field of valence 0 (or component of a tensorial field).
Definition scalar.h:387
Class for relativistic rotating stars in Dirac gauge and maximal slicing.
Transverse symmetric tensors of rank 2.
Definition sym_tensor.h:608
Transverse and traceless symmetric tensors of rank 2.
Definition sym_tensor.h:938
Class intended to describe valence-2 symmetric tensors.
Definition sym_tensor.h:223
Basic array class.
Definition tbl.h:161
Spacelike time slice of a 3+1 spacetime with conformal decomposition.
Definition time_slice.h:498
virtual const Scalar & npsi() const
Factor at the current time step (jtime ).
Evolution_std< Sym_tensor > hh_evol
Values at successive time steps of the components .
Definition time_slice.h:530
virtual ~Time_slice_conf()
Destructor.
void set_der_0x0() const
Sets to 0x0 all the pointers on derived quantities.
virtual const Sym_tensor & gam_dd() const
Induced metric (covariant components ) at the current time step (jtime )
virtual const Sym_tensor & hh(Param *=0x0, Param *=0x0) const
Deviation of the conformal metric from the flat metric : .
virtual void set_psi_del_n(const Scalar &psi_in)
Sets the conformal factor relating the physical metric to the conformal one: .
virtual void set_hata_TT(const Sym_tensor_tt &hata_tt)
Sets the TT part of (see member hata_evol ).
virtual const Sym_tensor & k_dd() const
Extrinsic curvature tensor (covariant components ) at the current time step (jtime )
virtual void set_npsi_del_psi(const Scalar &npsi_in)
Sets the factor at the current time step (jtime ) and deletes the value of .
virtual const Scalar & nn() const
Lapse function N at the current time step (jtime )
virtual void set_psi_del_npsi(const Scalar &psi_in)
Sets the conformal factor relating the physical metric to the conformal one: .
virtual const Sym_tensor & hata() const
Conformal representation of the traceless part of the extrinsic curvature: .
virtual const Sym_tensor & k_uu() const
Extrinsic curvature tensor (contravariant components ) at the current time step (jtime )
const Scalar & ln_psi() const
Logarithm of at the current time step (jtime ).
Evolution_std< Sym_tensor > hata_evol
Values at successive time steps of the components .
Definition time_slice.h:542
virtual const Vector & hdirac() const
Vector which vanishes in Dirac gauge.
virtual const Scalar & A_hata() const
Returns the potential A of .
virtual const Vector & vec_X(int method_poisson=6) const
Vector representing the longitudinal part of .
void operator=(const Time_slice_conf &)
Assignment to another Time_slice_conf.
virtual const Scalar & psi() const
Conformal factor relating the physical metric to the conformal one: .
Metric * p_tgamma
Pointer on the conformal metric at the current time step (jtime)
Definition time_slice.h:560
virtual const Scalar & B_hata() const
Returns the potential of .
virtual void del_deriv() const
Deletes all the derived quantities.
Evolution_std< Scalar > npsi_evol
Values at successive time steps of the factor .
Definition time_slice.h:522
Vector * p_vec_X
Pointer on the vector representing the longitudinal part of .
Definition time_slice.h:577
virtual Sym_tensor aa() const
Conformal representation of the traceless part of the extrinsic curvature: .
virtual void set_hata(const Sym_tensor &hata_in)
Sets the conformal representation of the traceless part of the extrinsic curvature: .
Vector * p_hdirac
Pointer on the vector (which vanishes in Dirac gauge), at the current time step (jtime).
Definition time_slice.h:571
const Scalar & psi4() const
Factor at the current time step (jtime ).
virtual void set_npsi_del_n(const Scalar &npsi_in)
Sets the factor at the current time step (jtime ) and deletes the value of N.
Evolution_std< Scalar > psi_evol
Values at successive time steps of the conformal factor relating the physical metric to the conform...
Definition time_slice.h:517
virtual void set_hata_from_XAB(Param *par_bc=0x0, Param *par_mat=0x0)
Sets the conformal representation of the traceless part of the extrinsic curvature from its potentia...
virtual const Metric & tgam() const
Conformal metric Returns the value at the current time step (jtime ).
virtual const Sym_tensor & gam_uu() const
Induced metric (contravariant components ) at the current time step (jtime )
Evolution_std< Scalar > A_hata_evol
Potential A associated with the symmetric tensor .
Definition time_slice.h:547
const Metric_flat & ff
Pointer on the flat metric with respect to which the conformal decomposition is performed.
Definition time_slice.h:507
void compute_X_from_momentum_constraint(const Vector &hat_S, const Sym_tensor_tt &hata_tt, int iter_max=200, double precis=1.e-12, double relax=0.8, int methode_poisson=6)
Computes the vector from the conformally-rescaled momentum , using the momentum constraint.
Scalar * p_ln_psi
Pointer on the logarithm of at the current time step (jtime)
Definition time_slice.h:566
Evolution_std< Scalar > B_hata_evol
Potential associated with the symmetric tensor .
Definition time_slice.h:552
virtual void set_hh(const Sym_tensor &hh_in)
Sets the deviation of the conformal metric from the flat metric : .
virtual const Scalar & trk() const
Trace K of the extrinsic curvature at the current time step (jtime )
Scalar * p_psi4
Pointer on the factor at the current time step (jtime)
Definition time_slice.h:563
Spacelike time slice of a 3+1 spacetime.
Definition time_slice.h:173
virtual const Sym_tensor & k_dd() const
Extrinsic curvature tensor (covariant components ) at the current time step (jtime )
int jtime
Time step index of the latest slice.
Definition time_slice.h:190
Evolution_std< Scalar > trk_evol
Values at successive time steps of the trace K of the extrinsic curvature.
Definition time_slice.h:224
Metric * p_gamma
Pointer on the induced metric at the current time step (jtime)
Definition time_slice.h:239
Evolution_std< Sym_tensor > k_dd_evol
Values at successive time steps of the covariant components of the extrinsic curvature tensor .
Definition time_slice.h:208
virtual void sauve(FILE *fich, bool partial_save) const
Total or partial saves in a binary file.
Definition time_slice.C:507
void operator=(const Time_slice &)
Assignment to another Time_slice.
Definition time_slice.C:388
Evolution_full< Tbl > adm_mass_evol
ADM mass at each time step, since the creation of the slice.
Definition time_slice.h:233
virtual const Scalar & trk() const
Trace K of the extrinsic curvature at the current time step (jtime )
virtual const Scalar & nn() const
Lapse function N at the current time step (jtime )
void save(const char *rootname) const
Saves in a binary file.
Definition time_slice.C:461
virtual const Sym_tensor & gam_dd() const
Induced metric (covariant components ) at the current time step (jtime )
void set_der_0x0() const
Sets to 0x0 all the pointers on derived quantities.
Definition time_slice.C:377
Evolution_std< Sym_tensor > gam_dd_evol
Values at successive time steps of the covariant components of the induced metric .
Definition time_slice.h:198
friend ostream & operator<<(ostream &, const Time_slice &)
Display.
Definition time_slice.C:453
Tbl check_hamiltonian_constraint(const Scalar *energy_density=0x0, ostream &ost=cout, bool verb=true) const
Checks the level at which the hamiltonian constraint is verified.
Evolution_std< Sym_tensor > gam_uu_evol
Values at successive time steps of the contravariant components of the induced metric .
Definition time_slice.h:203
int scheme_order
Order of the finite-differences scheme for the computation of time derivatives.
Definition time_slice.h:187
virtual const Vector & beta() const
shift vector at the current time step (jtime )
virtual ~Time_slice()
Destructor.
Definition time_slice.C:357
virtual void del_deriv() const
Deletes all the derived quantities.
Definition time_slice.C:367
int get_latest_j() const
Gets the latest value of time step index.
Definition time_slice.h:343
const Metric & gam() const
Induced metric at the current time step (jtime )
virtual const Sym_tensor & k_uu() const
Extrinsic curvature tensor (contravariant components ) at the current time step (jtime )
int depth
Number of stored time slices.
Definition time_slice.h:179
const Evolution_std< double > & get_time() const
Gets the time coordinate t at successive time steps.
Definition time_slice.h:346
Evolution_std< Scalar > n_evol
Values at successive time steps of the lapse function N.
Definition time_slice.h:216
virtual const Sym_tensor & gam_uu() const
Induced metric (contravariant components ) at the current time step (jtime )
virtual double adm_mass() const
Returns the ADM mass (geometrical units) at the current step.
int get_scheme_order() const
Gets the order of the finite-differences scheme.
Definition time_slice.h:340
Evolution_std< double > the_time
Time label of each slice.
Definition time_slice.h:193
virtual ostream & operator>>(ostream &) const
Operator >> (virtual function called by the operator<<).
Definition time_slice.C:411
Evolution_std< Sym_tensor > k_uu_evol
Values at successive time steps of the contravariant components of the extrinsic curvature tensor .
Definition time_slice.h:213
Tbl check_dynamical_equations(const Sym_tensor *strain_tensor=0x0, const Scalar *energy_density=0x0, ostream &ost=cout, bool verb=true) const
Checks the level at which the dynamical equations are verified.
void set_scheme_order(int ord)
Sets the order of the finite-differences scheme.
Definition time_slice.h:331
Evolution_std< Vector > beta_evol
Values at successive time steps of the shift vector .
Definition time_slice.h:219
Tbl check_momentum_constraint(const Vector *momentum_density=0x0, ostream &ost=cout, bool verb=true) const
Checks the level at which the momentum constraints are verified.
Spacelike time slice of a 3+1 spacetime with conformal decomposition in the maximal slicing and Dirac...
Definition time_slice.h:968
virtual const Scalar & trh() const
Computes the trace h, with respect to the flat metric ff , of .
virtual double adm_mass() const
Returns the ADM mass at (geometrical units) the current step.
virtual const Sym_tensor & hh(Param *par_bc=0x0, Param *par_mat=0x0) const
Deviation of the conformal metric from the flat metric : .
virtual Scalar solve_psi(const Scalar *ener_dens=0x0) const
Solves the elliptic equation for the conformal factor $\Psi$ (Hamiltonian constraint).
Evolution_std< Scalar > source_B_hh_evol
The potential of the source of equation for .
Definition time_slice.h:995
Evolution_std< Scalar > source_A_hh_evol
The A potential of the source of equation for .
Definition time_slice.h:989
void evolve(double pdt, int nb_time_steps, int niter_elliptic, double relax_elliptic, int check_mod, int save_mod, int method_poisson_vect=6, int nopause=1, const char *graph_device=0x0, bool verbose=true, const Scalar *ener_euler=0x0, const Vector *mom_euler=0x0, const Scalar *s_euler=0x0, const Sym_tensor *strain_euler=0x0)
Time evolution by resolution of Einstein equations.
virtual const Scalar & B_hh() const
Returns the potential of .
virtual void initial_data_cts(const Sym_tensor &uu, const Scalar &trk_in, const Scalar &trk_point, double pdt, double precis=1.e-12, int method_poisson_vect=6, const char *graph_device=0x0, const Scalar *ener_dens=0x0, const Vector *mom_dens=0x0, const Scalar *trace_stress=0x0)
Computes valid initial data by solving the constraint equations in the conformal thin-sandwich approa...
Evolution_std< Scalar > A_hh_evol
The A potential of .
Definition time_slice.h:977
virtual ~Tslice_dirac_max()
Destructor.
virtual const Scalar & trk() const
Trace K of the extrinsic curvature at the current time step (jtime ).
void hh_det_one(int j, Param *par_bc=0x0, Param *par_mat=0x0) const
Computes from the values of A and and using the condition , which fixes the trace of .
Evolution_std< Scalar > source_B_hata_evol
The potential of the source of equation for .
virtual void set_hh(const Sym_tensor &hh_in)
Sets the deviation of the conformal metric from the flat metric : .
void compute_sources(const Sym_tensor *strain_tensor=0x0) const
Computes the sources source_A_XXX_evol and source_B_XXX_evol , for the solution of the evolution equa...
virtual Scalar solve_npsi(const Scalar *ener_dens=0x0, const Scalar *trace_stress=0x0) const
Solves the elliptic equation for (maximal slicing condition + Hamiltonian constraint)
virtual void set_khi_mu(const Scalar &khi_in, const Scalar &mu_in)
Sets the potentials and of the TT part of (see the documentation of Sym_tensor_tt for details).
virtual void sauve(FILE *fich, bool partial_save) const
Total or partial saves in a binary file.
virtual void set_trh(const Scalar &trh_in)
Sets the trace, with respect to the flat metric ff , of .
virtual const Scalar & A_hh() const
Returns the potential A of .
virtual const Vector & hdirac() const
Vector which vanishes in Dirac gauge.
virtual Vector solve_beta(int method=6) const
Solves the elliptic equation for the shift vector from (Eq.
virtual void set_AB_hh(const Scalar &A_in, const Scalar &B_in)
Sets the potentials A and of the TT part of (see the documentation of Sym_tensor for details).
Evolution_std< Scalar > B_hh_evol
The potential of .
Definition time_slice.h:983
Evolution_std< Scalar > source_A_hata_evol
The potential A of the source of equation for .
Tensor field of valence 1.
Definition vector.h:188
Lorene prototypes.
Definition app_hor.h:64