LORENE
strot_dirac_diff_faitomeg.C
1 /*
2  * Functions Star_rot_Dirac_diff::fait_omega_field
3  * Star_rot_Dirac_diff::fait_prim_field
4  *
5  * (see file star_rot_dirac_diff.h for documentation).
6  *
7  */
8 
9 /*
10  * Copyright (c) 2005 Motoyuki Saijo
11  *
12  * This file is part of LORENE.
13  *
14  * LORENE is free software; you can redistribute it and/or modify
15  * it under the terms of the GNU General Public License as published by
16  * the Free Software Foundation; either version 2 of the License, or
17  * (at your option) any later version.
18  *
19  * LORENE is distributed in the hope that it will be useful,
20  * but WITHOUT ANY WARRANTY; without even the implied warranty of
21  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22  * GNU General Public License for more details.
23  *
24  * You should have received a copy of the GNU General Public License
25  * along with LORENE; if not, write to the Free Software
26  * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
27  *
28  */
29 
30 
31 
32 
33 /*
34  * $Header: /cvsroot/Lorene/C++/Source/Star/strot_dirac_diff_faitomeg.C,v 1.3 2016/12/05 16:18:15 j_novak Exp $
35  *
36  */
37 
38 
39 // Headers Lorene
40 #include "star_rot_dirac_diff.h"
41 #include "utilitaires.h"
42 #include "param.h"
43 
44 namespace Lorene {
45 double strot_dirac_diff_fzero(double omeg, const Param& par) ;
46 
47 
48  //-----------------------------------//
49  // fait_omega_field //
50  //-----------------------------------//
51 
52 void Star_rot_Dirac_diff::fait_omega_field(double omeg_min, double omeg_max,
53  double precis, int nitermax) {
54 
55  const Mg3d& mg = *(mp.get_mg()) ;
56  int nz = mg.get_nzone() ;
57  int nzm1 = nz - 1 ;
58 
59  Scalar brst2 = gamma.cov()(3,3) ;
60  brst2.annule(nzm1, nzm1) ;
61  brst2.mult_rsint() ;
62  brst2.mult_rsint() ;
63  Scalar nnn2 = qqq * qqq / psi4 ;
64  Scalar betp = beta(3) ;
65  betp.div_rsint() ;
66 
67  Param par ;
68  par.add_scalar(nnn2, 0) ;
69  par.add_scalar(brst2, 1) ;
70  par.add_scalar(betp, 2) ;
71 
72  int l, k, j, i ;
73  par.add_int(l, 0) ;
74  par.add_int(k, 1) ;
75  par.add_int(j, 2) ;
76  par.add_int(i, 3) ;
77 
78  par.add_star(*this) ;
79 
80  // Loop on the grid points
81  // -----------------------
82 
83  int niter ;
84 
85  bool prev_zero = (omega_field.get_etat() == ETATZERO) ;
86 
88 
89  // cout << "Star_rot_Dirac_diff::fait_omega_field: niter : " << '\n' ;
90  for (l=0; l<nzet+1; l++) {
91  Tbl& tom = omega_field.set_domain(l) ;
92  for (k=0; k<mg.get_np(l); k++) {
93  for (j=0; j<mg.get_nt(l); j++) {
94  for (i=0; i<mg.get_nr(l); i++) {
95 
96  double& omeg = tom.set(k, j, i) ;
97 
98  double omeg_min1, omeg_max1 ;
99  if ( prev_zero || omeg == double(0)) {
100  omeg_min1 = omeg_min ;
101  omeg_max1 = omeg_max ;
102  }
103  else{
104  omeg_min1 = 0.8 * omeg ;
105  omeg_max1 = 1.2 * omeg ;
106  }
107 
108  omeg = zerosec(strot_dirac_diff_fzero, par, omeg_min1,
109  omeg_max1, precis, nitermax, niter) ;
110 
111  // cout << " " << niter ;
112 
113  }
114  }
115  }
116  // cout << '\n' ;
117  }
118 
119  // omega_field is set to 0 far from the star:
120  // ---------------------------------------------------
121  for (l=nzet+1; l<nz; l++) {
122  omega_field.set_domain(l) = 0 ;
123  }
124 
126 
127  // Min and Max of Omega
128  // --------------------
129 
130  omega_min = min( omega_field.domain(0) ) ;
131  for (l=1; l<nzet; l++) {
132  double xx = min( omega_field.domain(l) ) ;
133  omega_min = (xx < omega_min) ? xx : omega_min ;
134  }
135 
136  omega_max = max( max( omega_field ) ) ;
137 
138  // Update of prim_field
139  // --------------------
140  fait_prim_field() ;
141 
142 }
143 
144  //----------------------------------------//
145  // strot_dirac_diff_fzero //
146  //----------------------------------------//
147 
148 double strot_dirac_diff_fzero(double omeg, const Param& par) {
149 
150  const Scalar& nnn2 = par.get_scalar(0) ;
151  const Scalar& brst2 = par.get_scalar(1) ;
152  const Scalar& betp = par.get_scalar(2) ;
153  int l = par.get_int(0) ;
154  int k = par.get_int(1) ;
155  int j = par.get_int(2) ;
156  int i = par.get_int(3) ;
157 
158  const Star_rot_Dirac_diff* star =
159  dynamic_cast<const Star_rot_Dirac_diff*>(&par.get_star()) ;
160 
161  double fom = star->funct_omega(omeg) ;
162  double omnp = omeg + betp.val_grid_point(l, k, j, i) ;
163 
164  return fom - brst2.val_grid_point(l, k, j, i) * omnp /
165  ( nnn2.val_grid_point(l, k, j, i) -
166  brst2.val_grid_point(l, k, j, i) * omnp * omnp ) ;
167 
168 }
169 
170 
171  //-----------------------------------//
172  // fait_prim_field //
173  //-----------------------------------//
174 
175 
177 
178  const Mg3d& mg = *(mp.get_mg()) ;
179  int nz = mg.get_nzone() ;
180 
181  // Loop on the grid points in the vicinity of the star
182  // ---------------------------------------------------
183 
185 
186  for (int l=0; l<nzet+1; l++) {
187  Tbl& tprim = prim_field.set_domain(l) ;
188  for (int k=0; k<mg.get_np(l); k++) {
189  for (int j=0; j<mg.get_nt(l); j++) {
190  for (int i=0; i<mg.get_nr(l); i++) {
191 
192  tprim.set(k, j, i) =
193  primfrot( omega_field.val_grid_point(l, k, j, i),
194  par_frot ) ;
195 
196  }
197  }
198  }
199  }
200 
201  // prim_field is set to 0 far from the star:
202  // -----------------------------------------
203  for (int l=nzet+1; l<nz; l++) {
204  prim_field.set_domain(l) = 0 ;
205  }
206 
208 
209 
210 }
211 }
void fait_prim_field()
Computes the member prim_field from omega_field .
void add_int(const int &n, int position=0)
Adds the address of a new int to the list.
Definition: param.C:249
Map & mp
Mapping associated with the star.
Definition: star.h:180
int get_np(int l) const
Returns the number of points in the azimuthal direction ( ) in domain no. l.
Definition: grilles.h:479
virtual void annule(int l_min, int l_max)
Sets the Scalar to zero in several domains.
Definition: scalar.C:397
Metric gamma
3-metric
Definition: star.h:235
const Tbl & domain(int l) const
Read-only of the value in a given domain.
Definition: scalar.h:631
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
double & set(int i)
Read/write of a particular element (index i) (1D case)
Definition: tbl.h:301
Tensor field of valence 0 (or component of a tensorial field).
Definition: scalar.h:393
const Star & get_star(int position=0) const
Returns the reference of a Star stored in the list.
Definition: param.C:1738
double(* primfrot)(double, const Tbl &)
Primitive of the function , which vanishes at the stellar center.
virtual void std_spectral_base()
Sets the spectral bases of the Valeur va to the standard ones for a scalar field. ...
Definition: scalar.C:790
virtual void allocate_all()
Sets the logical state to ETATQCQ (ordinary state) and performs the memory allocation of all the elem...
Definition: scalar.C:371
int get_etat() const
Returns the logical state ETATNONDEF (undefined), ETATZERO (null) or ETATQCQ (ordinary).
Definition: scalar.h:560
Tbl min(const Cmp &)
Minimum values of a Cmp in each domain.
Definition: cmp_math.C:461
Vector beta
Shift vector.
Definition: star.h:228
Tbl & set_domain(int l)
Read/write of the value in a given domain.
Definition: scalar.h:621
Tbl par_frot
Parameters of the function .
double zerosec(double(*f)(double, const Param &), const Param &par, double a, double b, double precis, int nitermax, int &niter, bool abort=true)
Finding the zero a function.
Definition: zerosec.C:92
double val_grid_point(int l, int k, int j, int i) const
Returns the value of the field at a specified grid point.
Definition: scalar.h:643
int nzet
Number of domains of *mp occupied by the star.
Definition: star.h:183
void add_star(const Star &eti, int position=0)
Adds the address of a new Star to the list.
Definition: param.C:1693
Scalar psi4
Conformal factor .
const Scalar & get_scalar(int position=0) const
Returns the reference of a Scalar stored in the list.
Definition: param.C:1396
void fait_omega_field(double omeg_min, double omeg_max, double precis, int nitermax)
Computes (member omega_field ).
const int & get_int(int position=0) const
Returns the reference of a int stored in the list.
Definition: param.C:295
Parameter storage.
Definition: param.h:125
int get_nzone() const
Returns the number of domains.
Definition: grilles.h:465
double omega_max
Maximum value of .
Tbl max(const Cmp &)
Maximum values of a Cmp in each domain.
Definition: cmp_math.C:438
void mult_rsint()
Multiplication by everywhere; dzpuis is not changed.
int get_nr(int l) const
Returns the number of points in the radial direction ( ) in domain no. l.
Definition: grilles.h:469
virtual const Sym_tensor & cov() const
Read-only access to the covariant representation.
Definition: metric.C:283
Multi-domain grid.
Definition: grilles.h:279
void add_scalar(const Scalar &ti, int position=0)
Adds the address of a new Scalar to the list.
Definition: param.C:1351
Class for relativistic differentially rotating stars in Dirac gauge and maximal slicing.
void div_rsint()
Division by everywhere; dzpuis is not changed.
double omega_min
Minimum value of .
Basic array class.
Definition: tbl.h:164
int get_nt(int l) const
Returns the number of points in the co-latitude direction ( ) in domain no. l.
Definition: grilles.h:474
double funct_omega(double omeg) const
Evaluates , where F is the function defining the rotation profile.