LORENE
bhole_equations_bin.C
1 /*
2  * Copyright (c) 2001 Philippe Grandclement
3  *
4  * This file is part of LORENE.
5  *
6  * LORENE is free software; you can redistribute it and/or modify
7  * it under the terms of the GNU General Public License as published by
8  * the Free Software Foundation; either version 2 of the License, or
9  * (at your option) any later version.
10  *
11  * LORENE is distributed in the hope that it will be useful,
12  * but WITHOUT ANY WARRANTY; without even the implied warranty of
13  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14  * GNU General Public License for more details.
15  *
16  * You should have received a copy of the GNU General Public License
17  * along with LORENE; if not, write to the Free Software
18  * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
19  *
20  */
21 
22 
23 
24 
25 /*
26  * $Id: bhole_equations_bin.C,v 1.6 2016/12/05 16:17:45 j_novak Exp $
27  * $Log: bhole_equations_bin.C,v $
28  * Revision 1.6 2016/12/05 16:17:45 j_novak
29  * Suppression of some global variables (file names, loch, ...) to prevent redefinitions
30  *
31  * Revision 1.5 2014/10/13 08:52:40 j_novak
32  * Lorene classes and functions now belong to the namespace Lorene.
33  *
34  * Revision 1.4 2014/10/06 15:12:58 j_novak
35  * Modified #include directives to use c++ syntax.
36  *
37  * Revision 1.3 2006/04/27 09:12:32 p_grandclement
38  * First try at irrotational black holes
39  *
40  * Revision 1.2 2002/10/16 14:36:33 j_novak
41  * Reorganization of #include instructions of standard C++, in order to
42  * use experimental version 3 of gcc.
43  *
44  * Revision 1.1.1.1 2001/11/20 15:19:28 e_gourgoulhon
45  * LORENE
46  *
47  * Revision 2.6 2001/05/07 09:11:56 phil
48  * *** empty log message ***
49  *
50  * Revision 2.5 2001/04/30 09:30:50 phil
51  * filtre pour poisson vectoriel
52  *
53  * Revision 2.4 2001/04/26 12:04:34 phil
54  * *** empty log message ***
55  *
56  * Revision 2.3 2001/04/25 15:08:48 phil
57  * vire fait_tkij
58  *
59  * Revision 2.2 2001/04/02 12:16:11 phil
60  * *** empty log message ***
61  *
62  * Revision 2.1 2001/03/22 10:41:36 phil
63  * modification prototypage
64  *
65  * Revision 2.0 2001/03/01 08:18:04 phil
66  * *** empty log message ***
67  *
68  *
69  * $Header: /cvsroot/Lorene/C++/Source/Bhole_binaire/bhole_equations_bin.C,v 1.6 2016/12/05 16:17:45 j_novak Exp $
70  *
71  */
72 
73 //standard
74 #include <cstdlib>
75 #include <cmath>
76 
77 // Lorene
78 #include "nbr_spx.h"
79 #include "tenseur.h"
80 #include "bhole.h"
81 #include "proto.h"
82 #include "utilitaires.h"
83 #include "graphique.h"
84 
85 // Resolution pour le lapse
86 namespace Lorene {
87 void Bhole_binaire::solve_lapse (double precision, double relax) {
88 
89  assert ((relax >0) && (relax<=1)) ;
90 
91  cout << "-----------------------------------------------" << endl ;
92  cout << "Resolution LAPSE" << endl ;
93 
94  Tenseur lapse_un_old (hole1.n_auto) ;
95  Tenseur lapse_deux_old (hole2.n_auto) ;
96 
98  Cmp kk_un (auxi_un(0, 0)+auxi_un(1, 1)+auxi_un(2, 2)) ;
99 
101  Cmp kk_deux (auxi_deux(0, 0)+auxi_deux(1, 1)+auxi_deux(2, 2)) ;
102 
103  // Les sources
104 
105  Cmp source_un
107  +hole1.n_tot()*pow(hole1.psi_tot(), 4.)*kk_un) ;
108  source_un.std_base_scal() ;
109 
110  Cmp source_deux
112  +hole2.n_tot()*pow(hole2.psi_tot(), 4.)*kk_deux) ;
113  source_deux.std_base_scal() ;
114 
115  //On resout
116  hole1.n_auto.set() = hole1.n_auto() - 1./2. ;
117  hole2.n_auto.set() = hole2.n_auto() - 1./2. ;
118 
119  dirichlet_binaire (source_un, source_deux, -1., -1., hole1.n_auto.set(),
120  hole2.n_auto.set(), 0, precision) ;
121 
122  hole1.n_auto.set() = hole1.n_auto() + 1./2. ;
123  hole2.n_auto.set() = hole2.n_auto() + 1./2. ;
124 
125  hole1.n_auto.set().raccord(1) ;
126  hole2.n_auto.set().raccord(1) ;
127 
128  // La relaxation :
129  hole1.n_auto.set() = relax*hole1.n_auto() + (1-relax)*lapse_un_old() ;
130  hole2.n_auto.set() = relax*hole2.n_auto() + (1-relax)*lapse_deux_old() ;
131 
134 }
135 
136 //Resolution sur Psi
137 void Bhole_binaire::solve_psi (double precision, double relax) {
138 
139  assert ((relax>0) && (relax<=1)) ;
140 
141  cout << "-----------------------------------------------" << endl ;
142  cout << "Resolution PSI" << endl ;
143 
144  Tenseur psi_un_old (hole1.psi_auto) ;
145  Tenseur psi_deux_old (hole2.psi_auto) ;
146 
148  Cmp kk_un (auxi_un(0, 0)+auxi_un(1, 1)+auxi_un(2, 2)) ;
149 
151  Cmp kk_deux (auxi_deux(0, 0)+auxi_deux(1, 1)+auxi_deux(2, 2)) ;
152 
153  // Les sources
154  Cmp source_un (-pow(hole1.psi_tot(), 5.)*kk_un/8.) ;
155  source_un.std_base_scal() ;
156 
157  Cmp source_deux (-pow(hole2.psi_tot(), 5.)*kk_deux/8.) ;
158  source_deux.std_base_scal() ;
159 
160  // Les valeurs limites :
161  int np_un = hole1.mp.get_mg()->get_np(1) ;
162  int nt_un = hole1.mp.get_mg()->get_nt(1) ;
163  Valeur lim_un (hole1.mp.get_mg()->get_angu()) ;
164  lim_un = 1 ;
165  for (int k=0 ; k<np_un ; k++)
166  for (int j=0 ; j<nt_un ; j++)
167  lim_un.set(0, k, j, 0) = -0.5/hole1.rayon*hole1.psi_tot()(1, k, j, 0) ;
168  lim_un.std_base_scal() ;
169 
170  int np_deux = hole2.mp.get_mg()->get_np(1) ;
171  int nt_deux = hole2.mp.get_mg()->get_nt(1) ;
172  Valeur lim_deux (hole2.mp.get_mg()->get_angu()) ;
173  lim_deux = 1 ;
174  for (int k=0 ; k<np_deux ; k++)
175  for (int j=0 ; j<nt_deux ; j++)
176  lim_deux.set(0, k, j, 0) = -0.5/hole2.rayon*hole2.psi_tot()(1, k, j, 0) ;
177  lim_deux.std_base_scal() ;
178 
179  //On resout
180  neumann_binaire (source_un, source_deux, lim_un, lim_deux,
181  hole1.psi_auto.set(), hole2.psi_auto.set(), 0, precision) ;
182 
183  hole1.psi_auto.set() = hole1.psi_auto() + 1./2. ;
184  hole2.psi_auto.set() = hole2.psi_auto() + 1./2. ;
185 
186  hole1.psi_auto.set().raccord(1) ;
187  hole2.psi_auto.set().raccord(1) ;
188 
189  // La relaxation :
190  hole1.psi_auto.set() = relax*hole1.psi_auto() + (1-relax)*psi_un_old() ;
191  hole2.psi_auto.set() = relax*hole2.psi_auto() + (1-relax)*psi_deux_old() ;
192 
195 }
196 
197 
198 // Resolution sur shift a omega bloque.
199 void Bhole_binaire::solve_shift (double precision, double relax) {
200 
201  cout << "------------------------------------------------" << endl ;
202  cout << "Resolution shift : Omega = " << omega << endl ;
203 
204  // On determine les sources
205  Tenseur source_un (
208  if (source_un.get_etat() == ETATZERO) {
209  source_un.set_etat_qcq() ;
210  for (int i=0 ; i<3 ; i++)
211  source_un.set(i).set_etat_zero() ;
212  }
213  source_un.set_std_base() ;
214 
215  Tenseur source_deux (
218  if (source_deux.get_etat() == ETATZERO) {
219  source_deux.set_etat_qcq() ;
220  for (int i=0 ; i<3 ; i++)
221  source_deux.set(i).set_etat_zero() ;
222  }
223  source_deux.set_std_base() ;
224 
225  // On filtre les hautes frequences.
226  for (int i=0 ; i<3 ; i++) {
227  if (source_un(i).get_etat() != ETATZERO)
228  source_un.set(i).filtre(4) ;
229  if (source_deux(i).get_etat() != ETATZERO)
230  source_deux.set(i).filtre(4) ;
231  }
232 
233  // Les alignemenents pour le signe des CL.
234  double orientation_un = hole1.mp.get_rot_phi() ;
235  assert ((orientation_un==0) || (orientation_un == M_PI)) ;
236 
237  double orientation_deux = hole2.mp.get_rot_phi() ;
238  assert ((orientation_deux==0) || (orientation_deux == M_PI)) ;
239 
240  int aligne_un = (orientation_un == 0) ? 1 : -1 ;
241  int aligne_deux = (orientation_deux == 0) ? 1 : -1 ;
242 
243  // On regarde si toutes les composantes sont nulles :
244  int ind1 = 0 ;
245  int ind2 = 0 ;
246  for (int i=0 ; i<3 ; i++) {
247  if (source_un(i).get_etat() == ETATQCQ)
248  ind1 = 1 ;
249  if (source_deux(i).get_etat() == ETATQCQ)
250  ind2 = 1 ;
251  }
252 
253  if (ind1==0)
254  source_un.set_etat_zero() ;
255  if (ind2==0)
256  source_deux.set_etat_zero() ;
257 
258  // On determine les Cl en fonction de omega :
259  int np_un = hole1.mp.get_mg()->get_np (1) ;
260  int nt_un = hole1.mp.get_mg()->get_nt (1) ;
261 
262  Mtbl xa_mtbl_un (source_un.get_mp()->get_mg()) ;
263  xa_mtbl_un.set_etat_qcq() ;
264  Mtbl ya_mtbl_un (source_un.get_mp()->get_mg()) ;
265  ya_mtbl_un.set_etat_qcq() ;
266 
267  xa_mtbl_un = source_un.get_mp()->xa ;
268  ya_mtbl_un = source_un.get_mp()->ya ;
269 
270  Mtbl x_mtbl_un (source_un.get_mp()->get_mg()) ;
271  x_mtbl_un.set_etat_qcq() ;
272  Mtbl y_mtbl_un (source_un.get_mp()->get_mg()) ;
273  y_mtbl_un.set_etat_qcq() ;
274 
275  x_mtbl_un = source_un.get_mp()->x ;
276  y_mtbl_un = source_un.get_mp()->y ;
277 
278  // Les bases
279  Base_val** bases_un = hole1.mp.get_mg()->std_base_vect_cart() ;
280  Base_val** bases_deux = hole2.mp.get_mg()->std_base_vect_cart() ;
281 
282  Valeur lim_x_un (*hole1.mp.get_mg()->get_angu()) ;
283  lim_x_un = 1 ; // Juste pour affecter dans espace des configs ;
284  lim_x_un.set_etat_c_qcq() ;
285  for (int k=0 ; k<np_un ; k++)
286  for (int j=0 ; j<nt_un ; j++)
287  lim_x_un.set(0, k, j, 0) = aligne_un*omega*ya_mtbl_un(0, 0, 0, 0) + aligne_un*hole1.omega_local*y_mtbl_un(1,k,j,0) ;
288  lim_x_un.base = *bases_un[0] ;
289 
290  Valeur lim_y_un (*hole1.mp.get_mg()->get_angu()) ;
291  lim_y_un = 1 ; // Juste pour affecter dans espace des configs ;
292  lim_y_un.set_etat_c_qcq() ;
293  for (int k=0 ; k<np_un ; k++)
294  for (int j=0 ; j<nt_un ; j++)
295  lim_y_un.set(0, k, j, 0) = -aligne_un*omega*xa_mtbl_un(0, 0, 0, 0) - aligne_un*hole1.omega_local*x_mtbl_un(1,k,j,0) ;;
296  lim_y_un.base = *bases_un[1] ;
297 
298  Valeur lim_z_un (*hole1.mp.get_mg()->get_angu()) ;
299  lim_z_un = 1 ;
300  for (int k=0 ; k<np_un ; k++)
301  for (int j=0 ; j<nt_un ; j++)
302  lim_z_un.set(0, k, j, 0) = 0 ;
303  lim_z_un.base = *bases_un[2] ;
304 
305  // On determine les Cl en fonction de omega :
306  int np_deux = hole2.mp.get_mg()->get_np (1) ;
307  int nt_deux = hole2.mp.get_mg()->get_nt (1) ;
308 
309  Mtbl xa_mtbl_deux (source_deux.get_mp()->get_mg()) ;
310  xa_mtbl_deux.set_etat_qcq() ;
311  Mtbl ya_mtbl_deux (source_deux.get_mp()->get_mg()) ;
312  ya_mtbl_deux.set_etat_qcq() ;
313 
314  xa_mtbl_deux = source_deux.get_mp()->xa ;
315  ya_mtbl_deux = source_deux.get_mp()->ya ;
316 
317  Mtbl x_mtbl_deux (source_deux.get_mp()->get_mg()) ;
318  x_mtbl_deux.set_etat_qcq() ;
319  Mtbl y_mtbl_deux (source_deux.get_mp()->get_mg()) ;
320  y_mtbl_deux.set_etat_qcq() ;
321 
322  x_mtbl_deux = source_deux.get_mp()->x ;
323  y_mtbl_deux = source_deux.get_mp()->y ;
324 
325  Valeur lim_x_deux (*hole2.mp.get_mg()->get_angu()) ;
326  lim_x_deux = 1 ; // Juste pour affecter dans espace des configs ;
327  lim_x_deux.set_etat_c_qcq() ;
328  for (int k=0 ; k<np_deux ; k++)
329  for (int j=0 ; j<nt_deux ; j++)
330  lim_x_deux.set(0, k, j, 0) = aligne_deux*omega*ya_mtbl_deux(0, 0, 0, 0) + aligne_deux*hole2.omega_local*y_mtbl_deux(1,k,j,0) ;
331  lim_x_deux.base = *bases_deux[0] ;
332 
333  Valeur lim_y_deux (*hole2.mp.get_mg()->get_angu()) ;
334  lim_y_deux = 1 ; // Juste pour affecter dans espace des configs ;
335  lim_y_deux.set_etat_c_qcq() ;
336  for (int k=0 ; k<np_deux ; k++)
337  for (int j=0 ; j<nt_deux ; j++)
338  lim_y_deux.set(0, k, j, 0) = -aligne_deux*omega*xa_mtbl_deux(0, 0, 0, 0) - aligne_deux*hole2.omega_local*x_mtbl_deux(1,k,j,0) ;
339  lim_y_deux.base = *bases_deux[1] ;
340 
341  Valeur lim_z_deux (*hole2.mp.get_mg()->get_angu()) ;
342  lim_z_deux = 1 ;
343  for (int k=0 ; k<np_deux ; k++)
344  for (int j=0 ; j<nt_deux ; j++)
345  lim_z_deux.set(0, k, j, 0) = 0 ;
346  lim_z_deux.base = *bases_deux[2] ;
347 
348  for (int i=0 ; i<3 ; i++) {
349  delete bases_un[i] ;
350  delete bases_deux[i] ;
351  }
352  delete [] bases_un ;
353  delete [] bases_deux ;
354 
355  // On resout le truc :
356  Tenseur shift_un_old (hole1.shift_auto) ;
357  Tenseur shift_deux_old (hole2.shift_auto) ;
358 
359  poisson_vect_binaire (1./3., source_un, source_deux,
360  lim_x_un, lim_y_un, lim_z_un,
361  lim_x_deux, lim_y_deux, lim_z_deux,
362  hole1.shift_auto, hole2.shift_auto, 0, precision) ;
363 
364  for (int i=0 ; i<3 ; i++) {
365  hole1.shift_auto.set(i).raccord(1) ;
366  hole2.shift_auto.set(i).raccord(1) ;
367  }
368 
369  // On regularise les shift.
370  hole1.shift_auto = relax*hole1.shift_auto +
371  (1-relax)*shift_un_old ;
372  hole2.shift_auto = relax*hole2.shift_auto +
373  (1-relax)*shift_deux_old ;
374 
375  double diff_un = regle (hole1.shift_auto, hole2.shift_auto, omega, hole1.omega_local) ;
376  double diff_deux = regle (hole2.shift_auto, hole1.shift_auto, omega, hole2.omega_local) ;
377  hole1.regul = diff_un ;
378  hole2.regul = diff_deux ;
379 
380  cout << "Difference relatives : " << diff_un << " " << diff_deux << endl ;
381 }
382 }
Coord xa
Absolute x coordinate.
Definition: map.h:748
Base_val ** std_base_vect_cart() const
Returns the standard spectral bases for the Cartesian components of a vector.
Component of a tensorial field *** DEPRECATED : use class Scalar instead ***.
Definition: cmp.h:446
Tenseur n_tot
Total N .
Definition: bhole.h:288
Tenseur grad_n_tot
Total gradient of N .
Definition: bhole.h:294
int get_np(int l) const
Returns the number of points in the azimuthal direction ( ) in domain no. l.
Definition: grilles.h:479
void solve_shift(double precis, double relax)
Solves the equation for the shift, using the Oohara-Nakarmure scheme~: using the current for the ...
void set_std_base()
Set the standard spectal basis of decomposition for each component.
Definition: tenseur.C:1186
Multi-domain array.
Definition: mtbl.h:118
Lorene prototypes.
Definition: app_hor.h:67
const Mg3d * get_mg() const
Gives the Mg3d on which the mapping is defined.
Definition: map.h:783
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...
double omega_local
local angular velocity
Definition: bhole.h:276
Tenseur psi_auto
Part of generated by the hole.
Definition: bhole.h:290
Values and coefficients of a (real-value) function.
Definition: valeur.h:297
double get_rot_phi() const
Returns the angle between the x –axis and X –axis.
Definition: map.h:793
Tenseur_sym taij_tot
Total , which must be zero on the horizon of the regularisation on the shift has been done...
Definition: bhole.h:305
void fait_n_comp(const Bhole &comp)
Imports the part of N due to the companion hole comp .
Definition: bhole.C:257
Tenseur shift_auto
Part of generated by the hole.
Definition: bhole.h:297
void set_etat_zero()
Sets the logical state to ETATZERO (zero).
Definition: cmp.C:292
Cmp & set()
Read/write for a scalar (see also operator=(const Cmp&) ).
Definition: tenseur.C:840
double omega
Position of the axis of rotation.
Definition: bhole.h:769
const Map * get_mp() const
Returns pointer on the mapping.
Definition: tenseur.h:702
const Mg3d * get_angu() const
Returns the pointer on the associated angular grid.
Definition: mg3d.C:604
void filtre(int n)
Sets the n lasts coefficients in r to 0 in the external domain.
Definition: cmp_manip.C:77
Map_af & mp
Affine mapping.
Definition: bhole.h:273
Bhole hole1
Black hole one.
Definition: bhole.h:762
void solve_psi(double precis, double relax)
Solves the equation for the conformal factor~: The fields are the total values excpet those with s...
int get_etat() const
Returns the logical state.
Definition: tenseur.h:710
double rayon
Radius of the horizon in LORENE&#39;s units.
Definition: bhole.h:274
Cmp pow(const Cmp &, int)
Power .
Definition: cmp_math.C:351
Tenseur_sym tkij_auto
Auto .
Definition: bhole.h:307
void set_etat_qcq()
Sets the logical state to ETATQCQ (ordinary state).
Definition: mtbl.C:302
void std_base_scal()
Sets the spectral bases of the Valeur va to the standard ones for a scalar.
Definition: cmp.C:647
Tenseur_sym tkij_tot
Total .
Definition: bhole.h:308
Coord ya
Absolute y coordinate.
Definition: map.h:749
Bases of the spectral expansions.
Definition: base_val.h:325
void solve_lapse(double precis, double relax)
Solves the equation for the lapse~: The fields are the total values excpet those with subscript ...
Coord y
y coordinate centered on the grid
Definition: map.h:745
void raccord(int n)
Performs the matching of the nucleus with respect to the first shell.
Definition: cmp_raccord.C:173
Tenseur psi_tot
Total .
Definition: bhole.h:292
Coord x
x coordinate centered on the grid
Definition: map.h:744
void set_etat_c_qcq()
Sets the logical state to ETATQCQ (ordinary state) for values in the configuration space (Mtbl c )...
Definition: valeur.C:704
Tenseur n_auto
Part of N generated by the hole.
Definition: bhole.h:286
int get_nt(int l) const
Returns the number of points in the co-latitude direction ( ) in domain no. l.
Definition: grilles.h:474
void set_etat_qcq()
Sets the logical state to ETATQCQ (ordinary state).
Definition: tenseur.C:652
void fait_psi_comp(const Bhole &comp)
Imports the part of due to the companion hole comp .
Definition: bhole.C:283
void set_etat_zero()
Sets the logical state to ETATZERO (zero state).
Definition: tenseur.C:661
Tensor handling *** DEPRECATED : use class Tensor instead ***.
Definition: tenseur.h:304
double regul
Intensity of the correction on the shift vector.
Definition: bhole.h:284
const Tenseur & gradient() const
Returns the gradient of *this (Cartesian coordinates)
Definition: tenseur.C:1558
Tbl & set(int l)
Read/write of the value in a given domain (configuration space).
Definition: valeur.h:373
Bhole hole2
Black hole two.
Definition: bhole.h:763