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
|
/*@@
@file RobinBoundary.c
@date Tue Jul 18 18:07:24 2000
@author Gerd Lanfermann
@desc
internal routines to apply 1d,2d,3d Robin
boundary conditions
@enddesc
@@*/
#include <math.h>
#include "cctk.h"
#include "cctk_Parameters.h"
/*@@
@routine BndApplyRobin3Di
@date Tue Jul 18 18:06:53 2000
@author Gerd Lanfermann
@desc
Apply 3d Robin Boundary condition - internal routine
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
int BndApplyRobin3Di(cGH *GH,
int *sw,
int *doBC,
int *lsh,
CCTK_REAL *var,
CCTK_REAL *r,
CCTK_REAL finf,
int npow)
{
int xgp1,xgp2,xgp3,xgp4;
int ygp1,ygp2,ygp3,ygp4;
int zgp1,zgp2,zgp3,zgp4;
int i,j,k;
if ((sw[0]!=1) || (sw[1]!=1) || (sw[2]!=1))
CCTK_WARN(0,"Robin BC only with stencil_size=1");
/* Lower x-bound: x(2,:,:) --> x[xgp2] */
if (doBC[0]==1) {
for (k=0;k<lsh[2];k++) {
for (j=0;j<lsh[1];j++) {
xgp1 = CCTK_GFINDEX3D(GH,0,j,k);
xgp2 = CCTK_GFINDEX3D(GH,1,j,k);
xgp3 = CCTK_GFINDEX3D(GH,2,j,k);
xgp4 = CCTK_GFINDEX3D(GH,3,j,k);
var[xgp1] = finf + (
pow(r[xgp4],npow)*( var[xgp4] - finf )
-3.0*pow(r[xgp3],npow)*( var[xgp3] - finf )
+3.0*pow(r[xgp2],npow)*( var[xgp2] - finf )
)/pow(r[xgp1],npow);
}
}
}
/* Upper x-bound: x(nx,:,:) --> xgp[xgp0] */
if (doBC[1]==1){
for (k=0;k<lsh[2];k++) {
for (j=0;j<lsh[1];j++) {
xgp1 = CCTK_GFINDEX3D(GH,lsh[0]-1,j,k);
xgp2 = CCTK_GFINDEX3D(GH,lsh[0]-2,j,k);
xgp3 = CCTK_GFINDEX3D(GH,lsh[0]-3,j,k);
xgp4 = CCTK_GFINDEX3D(GH,lsh[0]-4,j,k);
var[xgp1] = finf + (
pow(r[xgp3],npow)*( var[xgp4] - finf )
-3.0*pow(r[xgp3],npow)*( var[xgp3] - finf )
+3.0*pow(r[xgp2],npow)*( var[xgp2] - finf )
)/pow(r[xgp1],npow);
}
}
}
/* Lower y-bound */
if (doBC[2] == 1) {
for (k=0;k<lsh[2];k++) {
for (i=0;i<lsh[0];i++) {
ygp1 = CCTK_GFINDEX3D(GH,i,0,k);
ygp2 = CCTK_GFINDEX3D(GH,i,1,k);
ygp3 = CCTK_GFINDEX3D(GH,i,2,k);
ygp4 = CCTK_GFINDEX3D(GH,i,3,k);
var[ygp1] = finf + (
pow(r[ygp4],npow)*( var[ygp4] - finf )
-3.0*pow(r[ygp3],npow)*( var[ygp3] - finf )
+3.0*pow(r[ygp2],npow)*( var[ygp2] - finf )
)/pow(r[ygp1],npow);
}
}
}
/* Upper y bound */
if (doBC[3] == 1) {
for (k=0;k<lsh[2];k++) {
for (i=0;i<lsh[0];i++) {
ygp1 = CCTK_GFINDEX3D(GH,i,lsh[1]-1,k);
ygp2 = CCTK_GFINDEX3D(GH,i,lsh[1]-2,k);
ygp3 = CCTK_GFINDEX3D(GH,i,lsh[1]-3,k);
ygp4 = CCTK_GFINDEX3D(GH,i,lsh[1]-4,k);
var[ygp1] = finf + (
pow(r[ygp3],npow)*( var[ygp4] - finf )
-3.0*pow(r[ygp3],npow)*( var[ygp3] - finf )
+3.0*pow(r[ygp2],npow)*( var[ygp2] - finf )
)/pow(r[ygp1],npow);
}
}
}
/* Lower z-bound */
if (doBC[4]==1) {
for (j=0;j<lsh[1];j++) {
for (i=0;i<lsh[0];i++) {
zgp1 = CCTK_GFINDEX3D(GH,i,j,1);
zgp2 = CCTK_GFINDEX3D(GH,i,j,2);
zgp3 = CCTK_GFINDEX3D(GH,i,j,3);
zgp4 = CCTK_GFINDEX3D(GH,i,j,4);
var[zgp1] = finf + (
pow(r[zgp4],npow)*( var[zgp4] - finf )
-3.0*pow(r[zgp3],npow)*( var[zgp3] - finf )
+3.0*pow(r[zgp2],npow)*( var[zgp2] - finf )
)/pow(r[zgp1],npow);
}
}
}
/* Upper z-bound */
if (doBC[5] == 1) {
for (j=0;j<lsh[1];j++) {
for (i=0;i<lsh[0];i++) {
zgp1 = CCTK_GFINDEX3D(GH,i,j,lsh[2]-1);
zgp2 = CCTK_GFINDEX3D(GH,i,j,lsh[2]-2);
zgp3 = CCTK_GFINDEX3D(GH,i,j,lsh[2]-3);
zgp4 = CCTK_GFINDEX3D(GH,i,j,lsh[2]-4);
var[zgp1] = finf + (
pow(r[zgp3],npow)*( var[zgp4] - finf )
-3.0*pow(r[zgp3],npow)*( var[zgp3] - finf )
+3.0*pow(r[zgp2],npow)*( var[zgp2] - finf )
)/pow(r[zgp1],npow);
}
}
}
return(0);
}
|
