1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
|
/*@@
@file RK3.c
@date Tue Jul 22 00:38:47 2003
@author Ian Hawke
@desc
A specialized third order Runge-Kutta time integrator. This is
the integrator that Shu refers to as the optimal TVD third
order method (see reference in documentation).
@enddesc
@version $Header$
@@*/
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "ExternalVariables.h"
#include "Operators.h"
static const char *rcsid = "$Header$";
CCTK_FILEVERSION(CactusBase_MoL_RK3_c);
/********************************************************************
********************* Local Data Types ***********************
********************************************************************/
/********************************************************************
********************* Local Routine Prototypes *********************
********************************************************************/
/********************************************************************
***************** Scheduled Routine Prototypes *********************
********************************************************************/
void MoL_RK3Add(CCTK_ARGUMENTS);
/********************************************************************
********************* Other Routine Prototypes *********************
********************************************************************/
/********************************************************************
********************* Local Data *****************************
********************************************************************/
/********************************************************************
********************* External Routines **********************
********************************************************************/
/*@@
@routine MoL_RK3Add
@date Tue Jul 22 00:39:55 2003
@author Ian Hawke
@desc
Performs third order Runge-Kutta time integration.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
void MoL_RK3Add(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
CCTK_INT arraydim;
CCTK_INT var;
CCTK_INT totalsize;
/* FIXME */
#ifdef MOLDOESCOMPLEX
CCTK_COMPLEX const * restrict OldComplexVar;
CCTK_COMPLEX * restrict UpdateComplexVar;
CCTK_COMPLEX const * restrict RHSComplexVar;
CCTK_COMPLEX Complex_Delta_Time = CCTK_Cmplx(CCTK_DELTA_TIME, 0);
CCTK_COMPLEX Complex_Half = CCTK_Cmplx(0.5, 0);
CCTK_COMPLEX Complex_Third = CCTK_Cmplx(1.0/3.0, 0);
CCTK_COMPLEX Complex_TwoThird = CCTK_Cmplx(2.0/3.0, 0);
CCTK_COMPLEX Complex_Quarter = CCTK_Cmplx(0.25, 0);
CCTK_COMPLEX Complex_ThreeQuarter = CCTK_Cmplx(0.75, 0);
#endif
#ifdef MOLDEBUG
printf("Inside RK3.\nStep %d.\nRefinement %d.\nTimestep %g.\n"
"Spacestep %g.\nTime %g\n",
MoL_Intermediate_Steps - *MoL_Intermediate_Step + 1,
*cctk_levfac,
CCTK_DELTA_TIME,
CCTK_DELTA_SPACE(0),
cctk_time);
#endif
totalsize = 1;
for (arraydim = 0; arraydim < cctk_dim; arraydim++)
{
totalsize *= cctk_ash[arraydim];
}
switch (*MoL_Intermediate_Step)
{
case 3:
{
for (var = 0; var < MoLNumEvolvedVariables; var++)
{
int const nsrcs = 1;
CCTK_INT const srcs[] = {RHSVariableIndex[var]};
CCTK_INT const tls[] = {0};
CCTK_REAL const facts[] = {CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedVariableIndex[var], 1.0,
srcs, tls, facts, nsrcs);
}
for (var = 0; var < MoLNumEvolvedArrayVariables; var++)
{
int const nsrcs = 1;
CCTK_INT const srcs[] = {RHSArrayVariableIndex[var]};
CCTK_INT const tls[] = {0};
CCTK_REAL const facts[] = {CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedArrayVariableIndex[var], 1.0,
srcs, tls, facts, nsrcs);
}
/* FIXME */
#ifdef MOLDOESCOMPLEX
for (var = 0; var < MoLNumEvolvedComplexVariables; var++)
{
int const nsrcs = 1;
CCTK_INT const srcs[] = {RHSComplexVariableIndex[var]};
CCTK_INT const tls[] = {0};
CCTK_REAL const facts[] = {CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedComplexVariableIndex[var], 1.0,
srcs, tls, facts, nsrcs);
}
#endif
break;
}
case 2:
{
for (var = 0; var < MoLNumEvolvedVariables; var++)
{
int const nsrcs = 2;
CCTK_INT const srcs[] =
{EvolvedVariableIndex[var], RHSVariableIndex[var]};
CCTK_INT const tls[] = {1, 0};
CCTK_REAL const facts[] = {0.75, CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedVariableIndex[var], 0.25,
srcs, tls, facts, nsrcs);
}
for (var = 0; var < MoLNumEvolvedArrayVariables; var++)
{
int const nsrcs = 2;
CCTK_INT const srcs[] =
{EvolvedArrayVariableIndex[var], RHSArrayVariableIndex[var]};
CCTK_INT const tls[] = {1, 0};
CCTK_REAL const facts[] = {0.75, CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedArrayVariableIndex[var], 0.25,
srcs, tls, facts, nsrcs);
}
/* FIXME */
#ifdef MOLDOESCOMPLEX
for (var = 0; var < MoLNumEvolvedComplexVariables; var++)
{
int const nsrcs = 2;
CCTK_INT const srcs[] =
{EvolvedComplexVariableIndex[var], RHSComplexVariableIndex[var]};
CCTK_INT const tls[] = {1, 0};
CCTK_REAL const facts[] = {0.75, CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedComplexVariableIndex[var], 0.25,
srcs, tls, facts, nsrcs);
}
#endif
break;
}
case 1:
{
for (var = 0; var < MoLNumEvolvedVariables; var++)
{
int const nsrcs = 2;
CCTK_INT const srcs[] =
{EvolvedVariableIndex[var], RHSVariableIndex[var]};
CCTK_INT const tls[] = {1, 0};
CCTK_REAL const facts[] = {1.0/3.0, CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedVariableIndex[var], 2.0/3.0,
srcs, tls, facts, nsrcs);
}
for (var = 0; var < MoLNumEvolvedArrayVariables; var++)
{
int const nsrcs = 2;
CCTK_INT const srcs[] =
{EvolvedArrayVariableIndex[var], RHSArrayVariableIndex[var]};
CCTK_INT const tls[] = {1, 0};
CCTK_REAL const facts[] = {1.0/3.0, CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedArrayVariableIndex[var], 2.0/3.0,
srcs, tls, facts, nsrcs);
}
/* FIXME */
#ifdef MOLDOESCOMPLEX
for (var = 0; var < MoLNumEvolvedComplexVariables; var++)
{
int const nsrcs = 2;
CCTK_INT const srcs[] =
{EvolvedComplexVariableIndex[var], RHSComplexVariableIndex[var]};
CCTK_INT const tls[] = {1, 0};
CCTK_REAL const facts[] = {1.0/3.0, CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedComplexVariableIndex[var], 2.0/3.0,
srcs, tls, facts, nsrcs);
}
#endif
break;
}
default:
{
CCTK_WARN(0, "RK3 expects MoL_Intermediate_Step to be "
"in [1,3]. This should be caught at ParamCheck - bug Ian!");
break;
}
}
return;
}
/********************************************************************
********************* Local Routines *************************
********************************************************************/
|
