LORENE
et_bin_upmetr.C
1 /*
2  * Methods Etoile_bin::update_metric
3  *
4  * (see file etoile.h for documentation)
5  *
6  */
7 
8 /*
9  * Copyright (c) 2000-2001 Eric Gourgoulhon
10  *
11  * This file is part of LORENE.
12  *
13  * LORENE is free software; you can redistribute it and/or modify
14  * it under the terms of the GNU General Public License as published by
15  * the Free Software Foundation; either version 2 of the License, or
16  * (at your option) any later version.
17  *
18  * LORENE is distributed in the hope that it will be useful,
19  * but WITHOUT ANY WARRANTY; without even the implied warranty of
20  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
21  * GNU General Public License for more details.
22  *
23  * You should have received a copy of the GNU General Public License
24  * along with LORENE; if not, write to the Free Software
25  * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
26  *
27  */
28 
29 
30 char et_bin_upmetr_C[] = "$Header: /cvsroot/Lorene/C++/Source/Etoile/et_bin_upmetr.C,v 1.5 2014/10/13 08:52:56 j_novak Exp $" ;
31 
32 /*
33  * $Id: et_bin_upmetr.C,v 1.5 2014/10/13 08:52:56 j_novak Exp $
34  * $Log: et_bin_upmetr.C,v $
35  * Revision 1.5 2014/10/13 08:52:56 j_novak
36  * Lorene classes and functions now belong to the namespace Lorene.
37  *
38  * Revision 1.4 2003/10/24 12:26:38 k_taniguchi
39  * Suppress the method of update metric for NS-BH
40  *
41  * Revision 1.3 2003/10/24 11:46:07 k_taniguchi
42  * Change some notations
43  *
44  * Revision 1.2 2002/12/19 14:52:42 e_gourgoulhon
45  * Added the new function
46  * void update_metric(const Bhole& comp)
47  * to treat the case where the companion is a black hole
48  *
49  * Revision 1.1.1.1 2001/11/20 15:19:28 e_gourgoulhon
50  * LORENE
51  *
52  * Revision 2.9 2000/09/27 12:49:57 keisuke
53  * Utilisation de d_logn_auto_div dans le calcul de d_logn_auto dans
54  * la version avec relaxation.
55  *
56  * Revision 2.8 2000/09/22 15:53:06 keisuke
57  * Calcul de d_logn_auto prenant en compte d_logn_auto_div.
58  *
59  * Revision 2.7 2000/03/07 14:55:08 eric
60  * Ajout de l'appel a extrinsic_curvature.
61  *
62  * Revision 2.6 2000/03/07 08:33:24 eric
63  * Appel de Cmp::import_sym / asym (pour tenir compte de la symetrie /
64  * plan y=0).
65  *
66  * Revision 2.5 2000/02/12 18:38:11 eric
67  * Ajout de la version avec relaxation.
68  * Appel de set_std_base() sur nnn et a_car.
69  *
70  * Revision 2.4 2000/02/12 11:42:49 eric
71  * Appel de Tenseur::set_std_base() sur les Tenseurs importes du
72  * compagnon.
73  *
74  * Revision 2.3 2000/02/10 18:54:41 eric
75  * Traitement du cas ETATZERO.
76  *
77  * Revision 2.2 2000/02/10 16:55:10 eric
78  * Appel de change_triad sur d_logn_auto et d_beta_auto.
79  *
80  * Revision 2.1 2000/02/04 17:14:32 eric
81  * *** empty log message ***
82  *
83  * Revision 2.0 2000/02/04 16:38:00 eric
84  * *** empty log message ***
85  *
86  *
87  * $Header: /cvsroot/Lorene/C++/Source/Etoile/et_bin_upmetr.C,v 1.5 2014/10/13 08:52:56 j_novak Exp $
88  *
89  */
90 
91 // Headers Lorene
92 #include "etoile.h"
93 #include "bhole.h"
94 
95  //----------------------------------//
96  // Version without relaxation //
97  //----------------------------------//
98 
99 namespace Lorene {
101 
102  // Computation of quantities coming from the companion
103  // ---------------------------------------------------
104 
105  if ( (comp.logn_auto).get_etat() == ETATZERO ) {
107  }
108  else{
110  (logn_comp.set()).import_symy( comp.logn_auto() ) ;
111  logn_comp.set_std_base() ; // set the bases for spectral expansions
112  }
113 
114 
115  if ( (comp.beta_auto).get_etat() == ETATZERO ) {
117  }
118  else{
120  (beta_comp.set()).import_symy( comp.beta_auto() ) ;
121  beta_comp.set_std_base() ; // set the bases for spectral expansions
122  }
123 
124 
125  if ( (comp.shift_auto).get_etat() == ETATZERO ) {
127  }
128  else{
130 
131  (shift_comp.set(0)).import_asymy( comp.shift_auto(0) ) ; // N^x antisym
132  (shift_comp.set(1)).import_symy( comp.shift_auto(1) ) ; // N^y sym.
133  (shift_comp.set(2)).import_asymy( comp.shift_auto(2) ) ; // N^z anisym
134 
135  shift_comp.set_std_base() ; // set the bases for spectral expansions
136  }
137  shift_comp.set_triad( *((comp.shift_auto).get_triad()) ) ;
138 
139 
140 
141  // Lapse function N
142  // ----------------
143 
144  Tenseur logn_total = logn_auto + logn_comp ;
145 
146  nnn = exp( unsurc2 * logn_total ) ;
147 
148  nnn.set_std_base() ; // set the bases for spectral expansions
149 
150  // Conformal factor A^2
151  // ---------------------
152 
153  a_car = exp( 2*unsurc2*( beta_auto + beta_comp - logn_total ) ) ;
154 
155  a_car.set_std_base() ; // set the bases for spectral expansions
156 
157  // Shift vector N^i
158  // ----------------
159 
161 
162  // Derivatives of metric coefficients
163  // ----------------------------------
164 
165  // ... (d/dX,d/dY,d/dZ)(logn_auto) :
166  d_logn_auto_regu = logn_auto_regu.gradient() ; // (d/dx, d/dy, d/dz)
167  d_logn_auto_regu.change_triad(ref_triad) ; // --> (d/dX, d/dY, d/dZ)
168 
169  if ( *(d_logn_auto_div.get_triad()) != ref_triad ) {
170 
171  // Change the basis from spherical coordinate to Cartesian one
173 
174  // Change the basis from mapping coordinate to absolute one
176 
177  }
178 
180 
181  // ... (d/dX,d/dY,d/dZ)(beta_auto) :
182  d_beta_auto = beta_auto.gradient() ; // (d/dx, d/dy, d/dz)
183  d_beta_auto.change_triad(ref_triad) ; // --> (d/dX, d/dY, d/dZ)
184 
185  if (relativistic) {
186  // ... extrinsic curvature (tkij_auto and akcar_auto)
188  }
189 
190  // The derived quantities are obsolete
191  // -----------------------------------
192 
193  del_deriv() ;
194 
195 
196 }
197 
198 
199 
200  //----------------------------------//
201  // Version with relaxation //
202  //----------------------------------//
203 
205  const Etoile_bin& star_jm1, double relax) {
206 
207 
208  // Computation of quantities coming from the companion
209  // ---------------------------------------------------
210 
211  if ( (comp.logn_auto).get_etat() == ETATZERO ) {
213  }
214  else{
216  (logn_comp.set()).import_symy( comp.logn_auto() ) ;
217  logn_comp.set_std_base() ; // set the bases for spectral expansions
218  }
219 
220 
221  if ( (comp.beta_auto).get_etat() == ETATZERO ) {
223  }
224  else{
226  (beta_comp.set()).import_symy( comp.beta_auto() ) ;
227  beta_comp.set_std_base() ; // set the bases for spectral expansions
228  }
229 
230 
231  if ( (comp.shift_auto).get_etat() == ETATZERO ) {
233  }
234  else{
236 
237  (shift_comp.set(0)).import_asymy( comp.shift_auto(0) ) ; // N^x antisym
238  (shift_comp.set(1)).import_symy( comp.shift_auto(1) ) ; // N^y sym.
239  (shift_comp.set(2)).import_asymy( comp.shift_auto(2) ) ; // N^z anisym
240 
241  shift_comp.set_std_base() ; // set the bases for spectral expansions
242  }
243  shift_comp.set_triad( *((comp.shift_auto).get_triad()) ) ;
244 
245  // Relaxation on logn_comp, beta_comp, shift_comp
246  // ----------------------------------------------
247  double relaxjm1 = 1. - relax ;
248 
249  logn_comp = relax * logn_comp + relaxjm1 * (star_jm1.get_logn_comp()) ;
250 
251  beta_comp = relax * beta_comp + relaxjm1 * (star_jm1.get_beta_comp()) ;
252 
253  shift_comp = relax * shift_comp + relaxjm1 * (star_jm1.get_shift_comp()) ;
254 
255  // Lapse function N
256  // ----------------
257 
258  Tenseur logn_total = logn_auto + logn_comp ;
259 
260  nnn = exp( unsurc2 * logn_total ) ;
261 
262  nnn.set_std_base() ; // set the bases for spectral expansions
263 
264  // Conformal factor A^2
265  // ---------------------
266 
267  a_car = exp( 2*unsurc2*( beta_auto + beta_comp - logn_total ) ) ;
268 
269  a_car.set_std_base() ; // set the bases for spectral expansions
270 
271  // Shift vector N^i
272  // ----------------
273 
275 
276  // Derivatives of metric coefficients
277  // ----------------------------------
278 
279  // ... (d/dX,d/dY,d/dZ)(logn_auto) :
280  d_logn_auto_regu = logn_auto_regu.gradient() ; // (d/dx, d/dy, d/dz)
281  d_logn_auto_regu.change_triad(ref_triad) ; // --> (d/dX, d/dY, d/dZ)
282 
283  if ( *(d_logn_auto_div.get_triad()) != ref_triad ) {
284 
285  // Change the basis from spherical coordinate to Cartesian one
287 
288  // Change the basis from mapping coordinate to absolute one
290 
291  }
292 
294 
295  // ... (d/dX,d/dY,d/dZ)(beta_auto) :
296  d_beta_auto = beta_auto.gradient() ; // (d/dx, d/dy, d/dz)
297  d_beta_auto.change_triad(ref_triad) ; // --> (d/dX, d/dY, d/dZ)
298 
299  // ... extrinsic curvature (tkij_auto and akcar_auto)
301 
302  // The derived quantities are obsolete
303  // -----------------------------------
304 
305  del_deriv() ;
306 
307 
308 }
309 }
Tenseur shift_comp
Part of the shift vector generated principaly by the companion star.
Definition: etoile.h:895
const Tenseur & get_beta_comp() const
Returns the part of the logarithm of AN generated principaly by the companion star.
Definition: etoile.h:1136
const Base_vect & ref_triad
Reference triad ("absolute frame"), with respect to which the components of all the member Tenseur 's...
Definition: etoile.h:828
Cmp exp(const Cmp &)
Exponential.
Definition: cmp_math.C:270
void update_metric(const Etoile_bin &comp)
Computes metric coefficients from known potentials, when the companion is another star...
void set_triad(const Base_vect &new_triad)
Assigns a new vectorial basis (triad) of decomposition.
Definition: tenseur.C:674
void set_std_base()
Set the standard spectal basis of decomposition for each component.
Definition: tenseur.C:1170
Tenseur logn_auto_regu
Regular part of the logarithm of the part of the lapse N generated principaly by the star...
Definition: etoile.h:491
Lorene prototypes.
Definition: app_hor.h:64
Tenseur nnn
Total lapse function.
Definition: etoile.h:509
double unsurc2
: unsurc2=1 for a relativistic star, 0 for a Newtonian one.
Definition: etoile.h:442
Class for stars in binary system.
Definition: etoile.h:814
virtual void extrinsic_curvature()
Computes tkij_auto and akcar_auto from shift_auto , nnn and a_car .
Tenseur d_beta_auto
Gradient of beta_auto (Cartesian components with respect to ref_triad )
Definition: etoile.h:879
Tenseur shift
Total shift vector.
Definition: etoile.h:512
Tenseur shift_auto
Part of the shift vector generated principaly by the star.
Definition: etoile.h:889
const Tenseur & get_logn_comp() const
Returns the part of the lapse logarithm (gravitational potential at the Newtonian limit) generated pr...
Definition: etoile.h:1116
Cmp & set()
Read/write for a scalar (see also operator=(const Cmp&) ).
Definition: tenseur.C:824
void change_triad(const Base_vect &new_triad)
Sets a new vectorial basis (triad) of decomposition and modifies the components accordingly.
Definition: tenseur.C:668
virtual void del_deriv() const
Deletes all the derived quantities.
Definition: etoile_bin.C:447
Tenseur logn_comp
Part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principaly by ...
Definition: etoile.h:854
Tenseur d_logn_auto
Gradient of logn_auto (Cartesian components with respect to ref_triad )
Definition: etoile.h:859
const Base_vect * get_triad() const
Returns the vectorial basis (triad) on which the components are defined.
Definition: tenseur.h:701
Tenseur beta_comp
Part of the logarithm of AN generated principaly by the companion star.
Definition: etoile.h:874
Map & mp
Mapping associated with the star.
Definition: etoile.h:429
Tenseur a_car
Total conformal factor .
Definition: etoile.h:515
bool relativistic
Indicator of relativity: true for a relativistic star, false for a Newtonian one. ...
Definition: etoile.h:437
const Base_vect_cart & get_bvect_cart() const
Returns the Cartesian basis associated with the coordinates (x,y,z) of the mapping, i.e.
Definition: map.h:791
Tenseur logn_auto
Total of the logarithm of the part of the lapse N generated principaly by the star.
Definition: etoile.h:484
Tenseur d_logn_auto_regu
Gradient of logn_auto_regu (Cartesian components with respect to ref_triad )
Definition: etoile.h:864
Tenseur beta_auto
Logarithm of the part of the product AN generated principaly by by the star.
Definition: etoile.h:506
void set_etat_qcq()
Sets the logical state to ETATQCQ (ordinary state).
Definition: tenseur.C:636
const Tenseur & get_shift_comp() const
Returns the part of the shift vector generated principaly by the companion star. ...
Definition: etoile.h:1158
void set_etat_zero()
Sets the logical state to ETATZERO (zero state).
Definition: tenseur.C:645
Tenseur d_logn_auto_div
Gradient of logn_auto_div (if k_div!=0 )
Definition: etoile.h:501
Tensor handling *** DEPRECATED : use class Tensor instead ***.
Definition: tenseur.h:298
const Tenseur & gradient() const
Returns the gradient of *this (Cartesian coordinates)
Definition: tenseur.C:1542