LORENE
bhole_solve_phi.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_solve_phi.C,v 1.5 2016/12/05 16:17:45 j_novak Exp $
27 * $Log: bhole_solve_phi.C,v $
28 * Revision 1.5 2016/12/05 16:17:45 j_novak
29 * Suppression of some global variables (file names, loch, ...) to prevent redefinitions
30 *
31 * Revision 1.4 2014/10/13 08:52:40 j_novak
32 * Lorene classes and functions now belong to the namespace Lorene.
33 *
34 * Revision 1.3 2014/10/06 15:12:58 j_novak
35 * Modified #include directives to use c++ syntax.
36 *
37 * Revision 1.2 2002/10/16 14:36:33 j_novak
38 * Reorganization of #include instructions of standard C++, in order to
39 * use experimental version 3 of gcc.
40 *
41 * Revision 1.1.1.1 2001/11/20 15:19:28 e_gourgoulhon
42 * LORENE
43 *
44 * Revision 2.3 2001/04/26 12:06:44 phil
45 * *** empty log message ***
46 *
47 * Revision 2.2 2001/04/06 08:56:49 phil
48 * *** empty log message ***
49 *
50 * Revision 2.1 2001/04/05 13:42:46 phil
51 * *** empty log message ***
52 *
53 * Revision 2.0 2001/04/05 13:35:14 phil
54 * *** empty log message ***
55 *
56 *
57 * $Header: /cvsroot/Lorene/C++/Source/Bhole_binaire/bhole_solve_phi.C,v 1.5 2016/12/05 16:17:45 j_novak Exp $
58 *
59 */
60
61
62
63//standard
64#include <cstdlib>
65#include <cmath>
66
67// Lorene
68#include "nbr_spx.h"
69#include "tenseur.h"
70#include "bhole.h"
71#include "proto.h"
72#include "utilitaires.h"
73#include "graphique.h"
74
75
76
77namespace Lorene {
79
80 Cmp auxi(mp) ;
81
82 auxi = 1./2.-2*rayon/mp.r ;
83 auxi.annule(0);
84 auxi.set_dzpuis(0) ;
85 n_auto = auxi;
86 n_comp = 0 ; n_tot = 0;
87 n_auto.set_std_base() ;
88 n_auto.set().raccord(1) ;
89
90 auxi = log (1+rayon/mp.r) ;
91 auxi.annule(0);
92 auxi.set_dzpuis(0) ;
93 psi_auto = auxi;
94 psi_comp = 0 ; psi_tot = 0;
95 psi_auto.set_std_base() ;
96 psi_auto.set().raccord(1) ;
97
98 grad_n_tot = n_auto.gradient() ;
99 grad_psi_tot = psi_auto.gradient() ;
100 shift_auto.set_etat_zero() ;
101
102 taij_auto.set_etat_zero();
103 taij_comp.set_etat_zero();
104
105 taij_tot.set_etat_zero() ;
106 tkij_auto.set_etat_zero() ;
107 tkij_tot.set_etat_zero();
108 decouple.set_etat_zero() ;
109}
110
111void Bhole_binaire::solve_phi (double precision, double relax) {
112
113 assert ((relax>0) && (relax<=1)) ;
114
115 cout << "-----------------------------------------------" << endl ;
116 cout << "Resolution PSI" << endl ;
117
118 Tenseur psi_un_old (hole1.psi_auto) ;
119 Tenseur psi_deux_old (hole2.psi_auto) ;
120
121 // Les sources totales, raccordees dans les zec
122 Cmp source_un (-flat_scalar_prod(hole1.grad_psi_tot,
123 hole1.psi_auto.gradient())()) ;
124 source_un.std_base_scal() ;
125
126 Cmp source_deux (-flat_scalar_prod(hole2.grad_psi_tot,
127 hole2.psi_auto.gradient())()) ;
128 source_deux.std_base_scal() ;
129
130 // Les valeurs limites :
131 Valeur lim_un (hole1.mp.get_mg()->get_angu()) ;
132 lim_un = -0.5/hole1.rayon ;
133 lim_un.std_base_scal() ;
134
135 Valeur lim_deux (hole2.mp.get_mg()->get_angu()) ;
136 lim_deux = -0.5/hole2.rayon ;
137 lim_deux.std_base_scal() ;
138
139 //On resout
140 neumann_binaire (source_un, source_deux, lim_un, lim_deux,
141 hole1.psi_auto.set(), hole2.psi_auto.set(), 0, precision) ;
142
143 hole1.psi_auto.set().raccord(1) ;
144 hole2.psi_auto.set().raccord(1) ;
145
146 //On verifie qu on a bien resolu :
147 cout << diffrelmax (source_un, hole1.psi_auto().laplacien(4)) << endl ;
148 cout << diffrelmax (source_deux, hole2.psi_auto().laplacien(4)) << endl ;
149
150 // La relaxation :
151 hole1.psi_auto.set() = relax*hole1.psi_auto() + (1-relax)*psi_un_old() ;
152 hole2.psi_auto.set() = relax*hole2.psi_auto() + (1-relax)*psi_deux_old() ;
153
154 hole1.fait_psi_comp (hole2) ;
155 hole2.fait_psi_comp (hole1) ;
156}
157
159 set_omega (0) ;
160 hole1.init_bhole_phi() ;
161 hole2.init_bhole_phi() ;
162
163 hole1.fait_psi_comp(hole2) ;
164 hole2.fait_psi_comp(hole1) ;
165}
166
167
168}
Bhole hole1
Black hole one.
Definition bhole.h:762
void set_omega(double ome)
Sets the orbital velocity to ome.
Definition bhole.h:791
void solve_phi(double precision, double relax)
Solve the equation for the logarithm of .
Bhole hole2
Black hole two.
Definition bhole.h:763
void init_phi()
Initiates the system for a resolution using the logarithm of .
Tenseur psi_auto
Part of generated by the hole.
Definition bhole.h:290
Tenseur shift_auto
Part of generated by the hole.
Definition bhole.h:297
Tenseur psi_tot
Total .
Definition bhole.h:292
Tenseur psi_comp
Part of generated by the companion hole.
Definition bhole.h:291
Tenseur_sym tkij_auto
Auto .
Definition bhole.h:307
void init_bhole_phi()
Initiates the black hole for a resolution with .
Tenseur grad_psi_tot
Total gradient of .
Definition bhole.h:295
Tenseur_sym taij_auto
Part of generated by the hole.
Definition bhole.h:299
Tenseur grad_n_tot
Total gradient of N .
Definition bhole.h:294
Tenseur n_auto
Part of N generated by the hole.
Definition bhole.h:286
Tenseur_sym taij_comp
Part of generated by the companion hole.
Definition bhole.h:300
double rayon
Radius of the horizon in LORENE's units.
Definition bhole.h:274
Tenseur n_comp
Part of N generated by the companion hole.
Definition bhole.h:287
Map_af & mp
Affine mapping.
Definition bhole.h:273
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
Tenseur n_tot
Total N .
Definition bhole.h:288
Tenseur_sym tkij_tot
Total .
Definition bhole.h:308
Cmp decouple
Function used to construct the part of generated by the hole from the total .
Definition bhole.h:318
Component of a tensorial field *** DEPRECATED : use class Scalar instead ***.
Definition cmp.h:446
void std_base_scal()
Sets the spectral bases of the Valeur va to the standard ones for a scalar.
Definition cmp.C:647
void annule(int l)
Sets the Cmp to zero in a given domain.
Definition cmp.C:351
void set_dzpuis(int)
Set a value to dzpuis.
Definition cmp.C:657
Tensor handling *** DEPRECATED : use class Tensor instead ***.
Definition tenseur.h:304
Values and coefficients of a (real-value) function.
Definition valeur.h:297
void std_base_scal()
Sets the bases for spectral expansions (member base ) to the standard ones for a scalar.
Definition valeur.C:827
Tbl diffrelmax(const Cmp &a, const Cmp &b)
Relative difference between two Cmp (max version).
Definition cmp_math.C:542
Cmp log(const Cmp &)
Neperian logarithm.
Definition cmp_math.C:299
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...
Lorene prototypes.
Definition app_hor.h:67