LORENE
ope_helmholtz_minus_2d_solh.C
1/*
2 * Copyright (c) 2004 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 version 2
8 * as published by the Free Software Foundation.
9 *
10 * LORENE is distributed in the hope that it will be useful,
11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
13 * GNU General Public License for more details.
14 *
15 * You should have received a copy of the GNU General Public License
16 * along with LORENE; if not, write to the Free Software
17 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
18 *
19 */
20
21char ope_helmholtz_minus_2d_solh_C[] = "$Header: /cvsroot/Lorene/C++/Source/Ope_elementary/Ope_helmholtz_minus_2d/ope_helmholtz_minus_2d_solh.C,v 1.4 2014/10/13 08:53:33 j_novak Exp $" ;
22
23/*
24 * $Id: ope_helmholtz_minus_2d_solh.C,v 1.4 2014/10/13 08:53:33 j_novak Exp $
25 * $Header: /cvsroot/Lorene/C++/Source/Ope_elementary/Ope_helmholtz_minus_2d/ope_helmholtz_minus_2d_solh.C,v 1.4 2014/10/13 08:53:33 j_novak Exp $
26 *
27 */
28#include <cmath>
29#include <cstdlib>
30#include <gsl/gsl_sf_bessel.h>
31
32#include "proto.h"
33#include "ope_elementary.h"
34
35 //------------------------------------
36 // Routine pour les cas non prevus --
37 //------------------------------------
38namespace Lorene {
39Tbl _solh_helmholtz_minus_2d_pas_prevu (int, int, double, double, double) {
40
41 cout << " Solution homogene pas prevue ..... : "<< endl ;
42 exit(-1) ;
43 Tbl res(1) ;
44 return res;
45}
46
47
48 //-------------------
49 //-- R_CHEB ------
50 //-------------------
51
52Tbl _solh_helmholtz_minus_2d_r_cheb (int n, int l, double masse, double alpha, double beta) {
53
54
55 double echelle = beta / alpha ;
56
57 Tbl res(2, n) ;
58 res.set_etat_qcq() ;
59 double* coloc = new double[n] ;
60
61 int * deg = new int[3] ;
62 deg[0] = 1 ;
63 deg[1] = 1 ;
64 deg[2] = n ;
65
66 //Construction de la premiere solution homogene :
67 for (int i=0 ; i<n ; i++)
68 coloc[i] = gsl_sf_bessel_In (l, masse*alpha*(echelle-cos(M_PI*i/(n-1)))) ;
69
70 cfrcheb(deg, deg, coloc, deg, coloc) ;
71 for (int i=0 ; i<n ;i++)
72 res.set(0, i) = coloc[i] ;
73
74 // construction de la seconde solution homogene :
75 for (int i=0 ; i<n ; i++)
76 coloc[i] = gsl_sf_bessel_Kn (l, masse*alpha*(echelle-cos(M_PI*i/(n-1)))) ;
77
78 cfrcheb(deg, deg, coloc, deg, coloc) ;
79 for (int i=0 ; i<n ;i++)
80 res.set(1, i) = coloc[i] ;
81
82 delete [] coloc ;
83 delete [] deg ;
84
85 return res ;
86}
87
88 //-------------------
89 //-- R_CHEBU -----
90 //-------------------
91
92Tbl _solh_helmholtz_minus_2d_r_chebu (int n, int l, double masse,
93 double alpha, double) {
94
95
96 Tbl res(n) ;
97 res.set_etat_qcq() ;
98 double* coloc = new double[n] ;
99
100 int * deg = new int[3] ;
101 deg[0] = 1 ;
102 deg[1] = 1 ;
103 deg[2] = n ;
104
105 for (int i=0 ; i<n-1 ; i++)
106 coloc[i] = gsl_sf_bessel_Kn (l, masse/alpha/(-1-cos(M_PI*i/(n-1)))) ;
107 coloc[n-1] = 0 ;
108
109 cfrcheb(deg, deg, coloc, deg, coloc) ;
110 for (int i=0 ; i<n ;i++)
111 res.set(i) = coloc[i] ;
112
113 delete [] coloc ;
114 delete [] deg ;
115
116 return res ;
117}
118
119
121
122 // Routines de derivation
124 static int nap = 0 ;
125
126 // Premier appel
127 if (nap==0) {
128 nap = 1 ;
129 for (int i=0 ; i<MAX_BASE ; i++) {
130 solh_helmholtz_minus_2d[i] = _solh_helmholtz_minus_2d_pas_prevu ;
131 }
132 // Les routines existantes
133 solh_helmholtz_minus_2d[R_CHEB >> TRA_R] = _solh_helmholtz_minus_2d_r_cheb ;
134 solh_helmholtz_minus_2d[R_CHEBU >> TRA_R] = _solh_helmholtz_minus_2d_r_chebu ;
135 }
136
138
139 // Un peu tricky...
140
141 if (res.get_ndim() == 1) {
142 Tbl val_lim (val_solp (res, alpha, base_r)) ;
143 val_lim *= sqrt(double(2)) ;
144
145 s_one_plus = val_lim(0) ;
146 s_one_minus = val_lim(1) ;
147 ds_one_plus = val_lim(2) ;
148 ds_one_minus = val_lim(3) ;
149
150 }
151 else {
152 Tbl auxi (nr) ;
153 auxi.set_etat_qcq() ;
154 for (int i=0 ; i<nr ; i++)
155 auxi.set(i) = res(0,i) ;
156
157 Tbl val_one (val_solp (auxi, alpha, base_r)) ;
158 val_one *= sqrt(double(2)) ;
159
160 s_one_plus = val_one(0) ;
161 s_one_minus = val_one(1) ;
162 ds_one_plus = val_one(2) ;
163 ds_one_minus = val_one(3) ;
164
165 for (int i=0 ; i<nr ; i++)
166 auxi.set(i) = res(1,i) ;
167
168 Tbl val_two (val_solp (auxi, alpha, base_r)) ;
169 val_two *= sqrt(double(2)) ;
170
171 s_two_plus = val_two(0) ;
172 s_two_minus = val_two(1) ;
173 ds_two_plus = val_two(2) ;
174 ds_two_minus = val_two(3) ;
175
176 }
177
178 return res ;
179}
180}
Time evolution with partial storage (*** under development ***).
Definition evolution.h:371
double ds_two_minus
Value of the derivative of the second homogeneous solution at the inner boundary.
double s_two_plus
Value of the second homogeneous solution at the outer boundary.
double s_one_minus
Value of the first homogeneous solution at the inner boundary.
double beta
Parameter of the associated mapping.
double ds_one_plus
Value of the derivative of the first homogeneous solution at the outer boundary.
double ds_one_minus
Value of the derivative of the first homogeneous solution at the inner boundary.
double alpha
Parameter of the associated mapping.
double s_two_minus
Value of the second homogeneous solution at the inner boundary.
int base_r
Radial basis of decomposition.
double s_one_plus
Value of the first homogeneous solution at the outer boundary.
double ds_two_plus
Value of the derivative of the second homogeneous solution at the outer boundary.
int nr
Number of radial points.
virtual Tbl get_solh() const
Computes the homogeneous solutions(s).
Basic array class.
Definition tbl.h:161
Cmp sqrt(const Cmp &)
Square root.
Definition cmp_math.C:220
Cmp cos(const Cmp &)
Cosine.
Definition cmp_math.C:94
#define MAX_BASE
Nombre max. de bases differentes.
#define R_CHEBU
base de Chebychev ordinaire (fin), dev. en 1/r
#define TRA_R
Translation en R, used for a bitwise shift (in hex)
#define R_CHEB
base de Chebychev ordinaire (fin)
Lorene prototypes.
Definition app_hor.h:64