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
|
/* File produced by user diener */
/* Produced with Mathematica Version 6.0 for Linux x86 (32-bit) (April 20, 2007) */
/* Mathematica script written by Ian Hinder and Sascha Husa */
#define KRANC_C
#include <assert.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "GenericFD.h"
#include "Differencing.h"
/* Define macros used in calculations */
#define INITVALUE (42)
#define INV(x) ((1.0) / (x))
#define SQR(x) ((x) * (x))
#define CUB(x) ((x) * (x) * (x))
#define QAD(x) ((x) * (x) * (x) * (x))
void WT_RHS_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL normal[3], CCTK_REAL tangentA[3], CCTK_REAL tangentB[3], CCTK_INT min[3], CCTK_INT max[3], CCTK_INT n_subblock_gfs, CCTK_REAL *subblock_gfs[])
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
/* Declare the variables used for looping over grid points */
CCTK_INT i = INITVALUE, j = INITVALUE, k = INITVALUE;
CCTK_INT index = INITVALUE;
CCTK_INT subblock_index = INITVALUE;
/* Declare finite differencing variables */
CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE;
CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE;
CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE;
CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE;
/* Declare predefined quantities */
CCTK_REAL p1o12dx = INITVALUE;
CCTK_REAL p1o12dy = INITVALUE;
CCTK_REAL p1o12dz = INITVALUE;
CCTK_REAL p1o144dx2dy = INITVALUE;
CCTK_REAL p1o144dx2dz = INITVALUE;
CCTK_REAL p1o144dxdy = INITVALUE;
CCTK_REAL p1o144dxdy2 = INITVALUE;
CCTK_REAL p1o144dxdz = INITVALUE;
CCTK_REAL p1o144dxdz2 = INITVALUE;
CCTK_REAL p1o144dy2dz = INITVALUE;
CCTK_REAL p1o144dydz = INITVALUE;
CCTK_REAL p1o144dydz2 = INITVALUE;
CCTK_REAL p1o1728dxdydz = INITVALUE;
CCTK_REAL p1o2dx3 = INITVALUE;
CCTK_REAL p1o2dy3 = INITVALUE;
CCTK_REAL p1o2dz3 = INITVALUE;
CCTK_REAL pm1o12dx2 = INITVALUE;
CCTK_REAL pm1o12dy2 = INITVALUE;
CCTK_REAL pm1o12dz2 = INITVALUE;
if (verbose > 1)
{
CCTK_VInfo(CCTK_THORNSTRING,"Entering WT_RHS_Body");
}
if (cctk_iteration % WT_RHS_calc_every != WT_RHS_calc_offset)
{
return;
}
/* Include user-supplied include files */
/* Initialise finite differencing variables */
dx = CCTK_DELTA_SPACE(0);
dy = CCTK_DELTA_SPACE(1);
dz = CCTK_DELTA_SPACE(2);
dxi = 1.0 / dx;
dyi = 1.0 / dy;
dzi = 1.0 / dz;
khalf = 0.5;
kthird = 1/3.0;
ktwothird = 2.0/3.0;
kfourthird = 4.0/3.0;
keightthird = 8.0/3.0;
hdxi = 0.5 * dxi;
hdyi = 0.5 * dyi;
hdzi = 0.5 * dzi;
/* Initialize predefined quantities */
p1o12dx = INV(dx)/12.;
p1o12dy = INV(dy)/12.;
p1o12dz = INV(dz)/12.;
p1o144dx2dy = (INV(dy)*pow(dx,-2))/144.;
p1o144dx2dz = (INV(dz)*pow(dx,-2))/144.;
p1o144dxdy = (INV(dx)*INV(dy))/144.;
p1o144dxdy2 = (INV(dx)*pow(dy,-2))/144.;
p1o144dxdz = (INV(dx)*INV(dz))/144.;
p1o144dxdz2 = (INV(dx)*pow(dz,-2))/144.;
p1o144dy2dz = (INV(dz)*pow(dy,-2))/144.;
p1o144dydz = (INV(dy)*INV(dz))/144.;
p1o144dydz2 = (INV(dy)*pow(dz,-2))/144.;
p1o1728dxdydz = (INV(dx)*INV(dy)*INV(dz))/1728.;
p1o2dx3 = khalf*pow(dx,-3);
p1o2dy3 = khalf*pow(dy,-3);
p1o2dz3 = khalf*pow(dz,-3);
pm1o12dx2 = -pow(dx,-2)/12.;
pm1o12dy2 = -pow(dy,-2)/12.;
pm1o12dz2 = -pow(dz,-2)/12.;
/* Loop over the grid points */
for (k = min[2]; k < max[2]; k++)
{
for (j = min[1]; j < max[1]; j++)
{
for (i = min[0]; i < max[0]; i++)
{
index = CCTK_GFINDEX3D(cctkGH,i,j,k) ;
subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])) ;
/* Declare shorthands */
/* Declare local copies of grid functions */
CCTK_REAL rhoL = INITVALUE, rhorhsL = INITVALUE;
CCTK_REAL uL = INITVALUE, urhsL = INITVALUE;
/* Declare precomputed derivatives*/
/* Declare derivatives */
CCTK_REAL PDstandardNth11u = INITVALUE;
CCTK_REAL PDstandardNth22u = INITVALUE;
CCTK_REAL PDstandardNth33u = INITVALUE;
/* Assign local copies of grid functions */
rhoL = rho[index];
uL = u[index];
/* Assign local copies of subblock grid functions */
/* Include user supplied include files */
/* Precompute derivatives (new style) */
PDstandardNth11u = PDstandardNth11(u, i, j, k);
PDstandardNth22u = PDstandardNth22(u, i, j, k);
PDstandardNth33u = PDstandardNth33(u, i, j, k);
/* Precompute derivatives (old style) */
/* Calculate temporaries and grid functions */
urhsL = rhoL;
rhorhsL = PDstandardNth11u + PDstandardNth22u + PDstandardNth33u;
/* Copy local copies back to grid functions */
rhorhs[index] = rhorhsL;
urhs[index] = urhsL;
/* Copy local copies back to subblock grid functions */
}
}
}
}
void WT_RHS(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
GenericFD_LoopOverInterior(cctkGH, &WT_RHS_Body);
}
|
