LORENE
et_rot_lambda_grv2.C
1 /*
2  * Method Etoile_rot::lambda_grv2.
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_rot_lambda_grv2_C[] = "$Header: /cvsroot/Lorene/C++/Source/Etoile/et_rot_lambda_grv2.C,v 1.7 2014/10/13 08:52:58 j_novak Exp $" ;
31 
32 /*
33  * $Id: et_rot_lambda_grv2.C,v 1.7 2014/10/13 08:52:58 j_novak Exp $
34  * $Log: et_rot_lambda_grv2.C,v $
35  * Revision 1.7 2014/10/13 08:52:58 j_novak
36  * Lorene classes and functions now belong to the namespace Lorene.
37  *
38  * Revision 1.6 2014/10/06 15:13:09 j_novak
39  * Modified #include directives to use c++ syntax.
40  *
41  * Revision 1.5 2013/06/05 15:10:42 j_novak
42  * Suppression of FINJAC sampling in r. This Jacobi(0,2) base is now
43  * available by setting colloc_r to BASE_JAC02 in the Mg3d constructor.
44  *
45  * Revision 1.4 2008/08/27 08:47:17 jl_cornou
46  * Added R_JACO02 case
47  *
48  * Revision 1.3 2003/10/27 10:53:16 e_gourgoulhon
49  * Changed variable name mp --> mprad in order not to shadow member mp.
50  *
51  * Revision 1.2 2002/09/09 13:00:39 e_gourgoulhon
52  * Modification of declaration of Fortran 77 prototypes for
53  * a better portability (in particular on IBM AIX systems):
54  * All Fortran subroutine names are now written F77_* and are
55  * defined in the new file C++/Include/proto_f77.h.
56  *
57  * Revision 1.1.1.1 2001/11/20 15:19:28 e_gourgoulhon
58  * LORENE
59  *
60  * Revision 2.1 2001/10/10 13:52:21 eric
61  * Modif Joachim: suppression caractere invisible en fin de fichier.
62  *
63  * Revision 2.0 2000/11/19 18:52:30 eric
64  * *** empty log message ***
65  *
66  *
67  * $Header: /cvsroot/Lorene/C++/Source/Etoile/et_rot_lambda_grv2.C,v 1.7 2014/10/13 08:52:58 j_novak Exp $
68  *
69  */
70 
71 // Headers C
72 #include <cmath>
73 
74 // Headers Lorene
75 #include "etoile.h"
76 #include "proto_f77.h"
77 
78 namespace Lorene {
79 double Etoile_rot::lambda_grv2(const Cmp& sou_m, const Cmp& sou_q) {
80 
81  const Map_radial* mprad = dynamic_cast<const Map_radial*>( sou_m.get_mp() ) ;
82 
83  if (mprad == 0x0) {
84  cout << "Etoile_rot::lambda_grv2: the mapping of sou_m does not"
85  << endl << " belong to the class Map_radial !" << endl ;
86  abort() ;
87  }
88 
89  assert( sou_q.get_mp() == mprad ) ;
90 
91  sou_q.check_dzpuis(4) ;
92 
93  const Mg3d* mg = mprad->get_mg() ;
94  int nz = mg->get_nzone() ;
95 
96  // Construction of a Map_af which coincides with *mp on the equator
97  // ----------------------------------------------------------------
98 
99  double theta0 = M_PI / 2 ; // Equator
100  double phi0 = 0 ;
101 
102  Map_af mpaff(*mprad) ;
103 
104  for (int l=0 ; l<nz ; l++) {
105  double rmax = mprad->val_r(l, double(1), theta0, phi0) ;
106  switch ( mg->get_type_r(l) ) {
107  case RARE: {
108  double rmin = mprad->val_r(l, double(0), theta0, phi0) ;
109  mpaff.set_alpha(rmax - rmin, l) ;
110  mpaff.set_beta(rmin, l) ;
111  break ;
112  }
113 
114  case FIN: {
115  double rmin = mprad->val_r(l, double(-1), theta0, phi0) ;
116  mpaff.set_alpha( double(.5) * (rmax - rmin), l ) ;
117  mpaff.set_beta( double(.5) * (rmax + rmin), l) ;
118  break ;
119  }
120 
121  case UNSURR: {
122  double rmin = mprad->val_r(l, double(-1), theta0, phi0) ;
123  double umax = double(1) / rmin ;
124  double umin = double(1) / rmax ;
125  mpaff.set_alpha( double(.5) * (umin - umax), l) ;
126  mpaff.set_beta( double(.5) * (umin + umax), l) ;
127  break ;
128  }
129 
130  default: {
131  cout << "Etoile_rot::lambda_grv2: unknown type_r ! " << endl ;
132  abort () ;
133  break ;
134  }
135 
136  }
137  }
138 
139 
140  // Reduced Jacobian of
141  // the transformation (r,theta,phi) <-> (dzeta,theta',phi')
142  // ------------------------------------------------------------
143 
144  Mtbl jac = 1 / ( (mprad->xsr) * (mprad->dxdr) ) ;
145  // R/x dR/dx in the nucleus
146  // R dR/dx in the shells
147  // - U/(x-1) dU/dx in the ZEC
148  for (int l=0; l<nz; l++) {
149  switch ( mg->get_type_r(l) ) {
150  case RARE: {
151  double a1 = mpaff.get_alpha()[l] ;
152  *(jac.t[l]) = *(jac.t[l]) / (a1*a1) ;
153  break ;
154  }
155 
156  case FIN: {
157  double a1 = mpaff.get_alpha()[l] ;
158  double b1 = mpaff.get_beta()[l] ;
159  assert( jac.t[l]->get_etat() == ETATQCQ ) ;
160  double* tjac = jac.t[l]->t ;
161  double* const xi = mg->get_grille3d(l)->x ;
162  for (int k=0; k<mg->get_np(l); k++) {
163  for (int j=0; j<mg->get_nt(l); j++) {
164  for (int i=0; i<mg->get_nr(l); i++) {
165  *tjac = *tjac /
166  (a1 * (a1 * xi[i] + b1) ) ;
167  tjac++ ;
168  }
169  }
170  }
171 
172  break ;
173  }
174 
175 
176  case UNSURR: {
177  double a1 = mpaff.get_alpha()[l] ;
178  *(jac.t[l]) = - *(jac.t[l]) / (a1*a1) ;
179  break ;
180  }
181 
182  default: {
183  cout << "Etoile_rot::lambda_grv2: unknown type_r ! " << endl ;
184  abort () ;
185  break ;
186  }
187 
188  }
189 
190  }
191 
192 
193  // Multiplication of the sources by the reduced Jacobian:
194  // -----------------------------------------------------
195 
196  Mtbl s_m(mg) ;
197  if ( sou_m.get_etat() == ETATZERO ) {
198  s_m = 0 ;
199  }
200  else{
201  assert(sou_m.va.get_etat() == ETATQCQ) ;
202  sou_m.va.coef_i() ;
203  s_m = *(sou_m.va.c) ;
204  }
205 
206  Mtbl s_q(mg) ;
207  if ( sou_q.get_etat() == ETATZERO ) {
208  s_q = 0 ;
209  }
210  else{
211  assert(sou_q.va.get_etat() == ETATQCQ) ;
212  sou_q.va.coef_i() ;
213  s_q = *(sou_q.va.c) ;
214  }
215 
216  s_m *= jac ;
217  s_q *= jac ;
218 
219 
220  // Preparations for the call to the Fortran subroutine
221  // ---------------------------------------------------
222 
223  int np1 = 1 ; // Axisymmetry enforced
224  int nt = mg->get_nt(0) ;
225  int nt2 = 2*nt - 1 ; // Number of points for the theta sampling
226  // in [0,Pi], instead of [0,Pi/2]
227 
228  // Array NDL
229  // ---------
230  int* ndl = new int[nz+4] ;
231  ndl[0] = nz ;
232  for (int l=0; l<nz; l++) {
233  ndl[1+l] = mg->get_nr(l) ;
234  }
235  ndl[1+nz] = nt2 ;
236  ndl[2+nz] = np1 ;
237  ndl[3+nz] = nz ;
238 
239  // Parameters NDR, NDT, NDP
240  // ------------------------
241  int nrmax = 0 ;
242  for (int l=0; l<nz ; l++) {
243  nrmax = ( ndl[1+l] > nrmax ) ? ndl[1+l] : nrmax ;
244  }
245  int ndr = nrmax + 5 ;
246  int ndt = nt2 + 2 ;
247  int ndp = np1 + 2 ;
248 
249  // Array ERRE
250  // ----------
251 
252  double* erre = new double [nz*ndr] ;
253 
254  for (int l=0; l<nz; l++) {
255  double a1 = mpaff.get_alpha()[l] ;
256  double b1 = mpaff.get_beta()[l] ;
257  for (int i=0; i<ndl[1+l]; i++) {
258  double xi = mg->get_grille3d(l)->x[i] ;
259  erre[ ndr*l + i ] = a1 * xi + b1 ;
260  }
261  }
262 
263  // Arrays containing the data
264  // --------------------------
265 
266  int ndrt = ndr*ndt ;
267  int ndrtp = ndr*ndt*ndp ;
268  int taille = ndrtp*nz ;
269 
270  double* tsou_m = new double[ taille ] ;
271  double* tsou_q = new double[ taille ] ;
272 
273  // Initialisation to zero :
274  for (int i=0; i<taille; i++) {
275  tsou_m[i] = 0 ;
276  tsou_q[i] = 0 ;
277  }
278 
279  // Copy of s_m into tsou_m
280  // -----------------------
281 
282  for (int l=0; l<nz; l++) {
283  for (int k=0; k<np1; k++) {
284  for (int j=0; j<nt; j++) {
285  for (int i=0; i<mg->get_nr(l); i++) {
286  double xx = s_m(l, k, j, i) ;
287  tsou_m[ndrtp*l + ndrt*k + ndr*j + i] = xx ;
288  // point symetrique par rapport au plan theta = pi/2 :
289  tsou_m[ndrtp*l + ndrt*k + ndr*(nt2-1-j) + i] = xx ;
290  }
291  }
292  }
293  }
294 
295  // Copy of s_q into tsou_q
296  // -----------------------
297 
298  for (int l=0; l<nz; l++) {
299  for (int k=0; k<np1; k++) {
300  for (int j=0; j<nt; j++) {
301  for (int i=0; i<mg->get_nr(l); i++) {
302  double xx = s_q(l, k, j, i) ;
303  tsou_q[ndrtp*l + ndrt*k + ndr*j + i] = xx ;
304  // point symetrique par rapport au plan theta = pi/2 :
305  tsou_q[ndrtp*l + ndrt*k + ndr*(nt2-1-j) + i] = xx ;
306  }
307  }
308  }
309  }
310 
311 
312  // Computation of the integrals
313  // ----------------------------
314 
315  double int_m, int_q ;
316  F77_integrale2d(ndl, &ndr, &ndt, &ndp, erre, tsou_m, &int_m) ;
317  F77_integrale2d(ndl, &ndr, &ndt, &ndp, erre, tsou_q, &int_q) ;
318 
319  // Cleaning
320  // --------
321 
322  delete [] ndl ;
323  delete [] erre ;
324  delete [] tsou_m ;
325  delete [] tsou_q ;
326 
327  // Computation of lambda
328  // ---------------------
329 
330  double lambda ;
331  if ( int_q != double(0) ) {
332  lambda = - int_m / int_q ;
333  }
334  else{
335  lambda = 0 ;
336  }
337 
338  return lambda ;
339 
340 }
341 }
Component of a tensorial field *** DEPRECATED : use class Scalar instead ***.
Definition: cmp.h:446
int get_etat() const
Returns the logical state.
Definition: cmp.h:899
Valeur va
The numerical value of the Cmp
Definition: cmp.h:464
const Map * get_mp() const
Returns the mapping.
Definition: cmp.h:901
bool check_dzpuis(int dzi) const
Returns false if the last domain is compactified and *this is not zero in this domain and dzpuis is n...
Definition: cmp.C:715
static double lambda_grv2(const Cmp &sou_m, const Cmp &sou_q)
Computes the coefficient which ensures that the GRV2 virial identity is satisfied.
double * x
Array of values of at the nr collocation points.
Definition: grilles.h:209
Affine radial mapping.
Definition: map.h:2027
const double * get_beta() const
Returns the pointer on the array beta.
Definition: map_af.C:481
const double * get_alpha() const
Returns the pointer on the array alpha.
Definition: map_af.C:477
void set_beta(double beta0, int l)
Modifies the value of in domain no. l.
Definition: map_af.C:641
void set_alpha(double alpha0, int l)
Modifies the value of in domain no. l.
Definition: map_af.C:630
Base class for pure radial mappings.
Definition: map.h:1536
Coord xsr
in the nucleus; \ 1/R in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1549
Coord dxdr
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1560
const Mg3d * get_mg() const
Gives the Mg3d on which the mapping is defined.
Definition: map.h:765
virtual double val_r(int l, double xi, double theta, double pphi) const =0
Returns the value of the radial coordinate r for a given in a given domain.
Multi-domain grid.
Definition: grilles.h:273
int get_np(int l) const
Returns the number of points in the azimuthal direction ( ) in domain no. l.
Definition: grilles.h:462
const Grille3d * get_grille3d(int l) const
Returns a pointer on the 3D mono-grid for domain no. l.
Definition: grilles.h:500
int get_nt(int l) const
Returns the number of points in the co-latitude direction ( ) in domain no. l.
Definition: grilles.h:457
int get_nzone() const
Returns the number of domains.
Definition: grilles.h:448
int get_nr(int l) const
Returns the number of points in the radial direction ( ) in domain no. l.
Definition: grilles.h:452
int get_type_r(int l) const
Returns the type of sampling in the radial direction in domain no.
Definition: grilles.h:474
Multi-domain array.
Definition: mtbl.h:118
Tbl ** t
Array (size nzone ) of pointers on the Tbl 's.
Definition: mtbl.h:132
int get_etat() const
Gives the logical state.
Definition: tbl.h:394
double * t
The array of double.
Definition: tbl.h:173
int get_etat() const
Returns the logical state.
Definition: valeur.h:726
Mtbl * c
Values of the function at the points of the multi-grid
Definition: valeur.h:299
void coef_i() const
Computes the physical value of *this.
Lorene prototypes.
Definition: app_hor.h:64