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
|
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "CactusBase/Boundary/src/Boundary.h"
#include "CactusBase/CartGrid3D/src/Symmetry.h"
#include "CactusElliptic/EllBase/src/Ell_DBstructure.h"
void sor_flat_3d(cGH *GH, int FieldIndex, int MIndex, int NIndex,
CCTK_REAL *AbsTol, CCTK_REAL *RelTol)
{
DECLARE_CCTK_PARAMETERS
/* The pointer to the data fields */
CCTK_REAL *Mlin=NULL, *Nlin=NULL;
CCTK_REAL *var =NULL;
/* shortcuts for deltas,etc. */
CCTK_REAL dx,dy,dz;
/* Some physical variables */
int accel_cheb=0, accel_const=0;
int chebit;
CCTK_REAL omega, resnorm, residual, glob_residual, rjacobian;
CCTK_REAL finf;
int npow;
CCTK_REAL tol;
/* Iteration / stepping variables */
int sorit;
int i,is,ie;
int j,js,je;
int k,ks,ke,kstep;
int nxyz;
/* stencil index */
int ijk;
int ipjk, ijpk, ijkp, imjk, ijmk, ijkm;
/* Coeeficients for the stencil... */
CCTK_REAL ac,ac_orig,aw,ae,an,as,at,ab;
/* Miscellaneous */
int sum_handle=-1;
int sw[3], ierr;
int Mstorage=0, Nstorage=0;
static int firstcall = 1;
CCTK_REAL dx2rec, dy2rec, dz2rec;
/* Get the reduction handle */
sum_handle = CCTK_ReductionArrayHandle("sum");
if (sum_handle<0)
CCTK_WARN(1,"Cannot get reduction handle for operation >sum<");
/* IF Robin BCs are set, prepare for a boundary call:
setup stencil width and get Robin constants (set by the routine
which is calling the solver interface) */
if (CCTK_EQUALS(sor_bound,"robin")) {
sw[0]=1;
sw[1]=1;
sw[2]=1;
ierr = Ell_GetRealKey(&finf, "EllLinConfMetric::Bnd::Robin::inf");
ierr = Ell_GetIntKey (&npow, "EllLinConfMetric::Bnd::Robin::falloff");
}
/* Only supports absolute tolerance */
tol = AbsTol[0];
if (CCTK_EQUALS(sor_accel,"const"))
accel_const = 1;
else if (CCTK_EQUALS(sor_accel,"cheb"))
accel_cheb = 1;
/* Things to do only once! */
if (firstcall==1) {
if (CCTK_Equals(elliptic_verbose, "yes"))
{
if (accel_cheb)
printf("SOR with Chebyshev acceleration with radius of 1\n");
else if (accel_const)
printf("SOR with hardcoded omega = 1.8\n");
else
printf("SOR with unaccelearted relaxation (omega = 1)\n");
}
firstcall = 0;
}
/* Get the data ptr of these GFs, They all have to be
on the same timelevel; if we have a negative index for M/N,
this GF is not set, there for don't even look for it and flag it */
var = (CCTK_REAL*) CCTK_VarDataPtrI(GH, 0, FieldIndex);
if (MIndex>=0) {
Mlin = (CCTK_REAL*) CCTK_VarDataPtrI(GH,0,MIndex);
Mstorage = 1;
}
if (NIndex>=0) {
Nlin = (CCTK_REAL*) CCTK_VarDataPtrI(GH,0,NIndex);
Nstorage = 1;
}
/* Shortcuts */
dx = GH->cctk_delta_space[0];
dy = GH->cctk_delta_space[1];
dz = GH->cctk_delta_space[2];
nxyz = GH->cctk_lsh[0]*GH->cctk_lsh[1]*GH->cctk_lsh[2];
dx2rec = 1.0/(dx*dx);
dy2rec = 1.0/(dy*dy);
dz2rec = 1.0/(dz*dz);
ae = dx2rec;
aw = dx2rec;
an = dy2rec;
as = dy2rec;
at = dz2rec;
ab = dz2rec;
ac_orig = -2.0*dx2rec - 2.0*dy2rec - 2.0*dz2rec;
is = 1;
js = 1;
ie = GH->cctk_lsh[0]-1;
je = GH->cctk_lsh[1]-1;
ke = GH->cctk_lsh[2]-1;
kstep = 2;
/* start at 1 for historic (Fortran) reasons */
for (sorit=1; sorit<=maxit; sorit++) {
omega = 1.0;
rjacobian = 1.0;
if (accel_cheb)
for (chebit=2;chebit<sorit;chebit++)
omega = 1.0/(1.0 - 0.25*rjacobian*rjacobian*omega);
if (accel_const)
omega = 1.8;
resnorm = 0.0;
ks = (sorit%2)+1;
if (GH->cctk_lsh[2]==3)
ks = 2;
for (k=ks;k<ke;k+=kstep) {
for (j=js;j<je;j++) {
for (i=is;i<ie;i++) {
ac = ac_orig;
ijk = CCTK_GFINDEX3D(GH,i ,j ,k );
ipjk = CCTK_GFINDEX3D(GH,i+1,j ,k );
imjk = CCTK_GFINDEX3D(GH,i-1,j ,k );
ijpk = CCTK_GFINDEX3D(GH,i ,j+1,k );
ijmk = CCTK_GFINDEX3D(GH,i ,j-1,k );
ijkp = CCTK_GFINDEX3D(GH,i ,j ,k+1);
ijkm = CCTK_GFINDEX3D(GH,i ,j ,k-1);
if (Mstorage)
ac += Mlin[ijk];
residual = ac * var[ijk]
+ ae *var[ipjk] + aw*var[imjk]
+ an *var[ijpk] + as*var[ijmk]
+ at *var[ijkp] + ab*var[ijkm];
if (Nstorage)
residual +=Nlin[ijk];
resnorm = resnorm + fabs(residual);
var[ijk] = var[ijk] - omega*residual/ac;
printf(" %d %d %d %f \n",i,j,k,var[ijk]);
}
}
}
/* reduction operation on processor-local residual values */
ierr = CCTK_ReduceLocScalar(GH, -1, sum_handle,
&resnorm, &glob_residual, CCTK_VARIABLE_REAL);
if (ierr<0)
CCTK_WARN(1,"Reduction of Norm failed");
glob_residual = glob_residual /
(GH->cctk_gsh[0]*GH->cctk_gsh[1]*GH->cctk_gsh[2]);
/* apply symmetry boundary conditions within loop */
if (CartSymVI(GH,FieldIndex)<0)
CCTK_WARN(1,"CartSymVI failed in EllSOR loop");
/* apply boundary conditions within loop */
if (CCTK_EQUALS(sor_bound,"robin"))
ierr = BndRobinVI(GH, sw, finf, npow, FieldIndex);
/* synchronization of grid variable */
CCTK_SyncGroupWithVarI(GH, FieldIndex);
/* Leave iteration loop if tolerance criterium is met */
if (glob_residual<tol)
break;
}
if (glob_residual>tol)
CCTK_WARN(2,"SOR SOLVER DID NOT CONVERGE");
return;
}
|
