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
|
/*@@
@file Schwarzschild.c
@date Sun Oct 17 10:35:41 1999
@author Tom Goodale
@desc
C version of Scwhwarzschild lapse routine
@enddesc
@version $Id$
@@*/
#include "cctk.h"
#include <string.h>
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "IDAnalyticBH.h"
static const char *rcsid = "$Header$";
CCTK_FILEVERSION(CactusEinstein_IDAnalyticBH_Schwarzschild_c)
void Schwarzschild(CCTK_ARGUMENTS);
void Schwarzschild(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
const CCTK_REAL zero = 0.0, one = 1.0, two = 2.0, three = 3.0;
CCTK_REAL tmp, r_squared, r_cubed;
int i, npoints;
npoints = cctk_lsh[0] * cctk_lsh[1] * cctk_lsh[2];
/* conformal metric flag */
if(CCTK_EQUALS(metric_type, "static conformal"))
{
int make_conformal_derivs;
*conformal_state = 1;
if(CCTK_EQUALS(conformal_storage,"factor+derivs"))
{
*conformal_state = 2;
make_conformal_derivs = 1;
}
else if(CCTK_EQUALS(conformal_storage,"factor+derivs+2nd derivs"))
{
*conformal_state = 3;
make_conformal_derivs = 1;
}
for (i = 0; i < npoints; i++)
{
/* Compute conformal factor */
psi[i] = ( one + mass/two/r[i]);
if(make_conformal_derivs)
{
/* derivatives of psi / psi */
r_squared = r[i]*r[i];
r_cubed = r[i]*r_squared;
tmp = mass/two/r_cubed/psi[i];
psix[i] = -x[i]*tmp;
psiy[i] = -y[i]*tmp;
psiz[i] = -z[i]*tmp;
if(*conformal_state > 2)
{
tmp = mass/two/(r_squared*r_cubed)/psi[i];
psixy[i] = three*x[i]*y[i]*tmp;
psixz[i] = three*x[i]*z[i]*tmp;
psiyz[i] = three*y[i]*z[i]*tmp;
psixx[i] = (three*x[i]*x[i] - r_squared)*tmp;
psiyy[i] = (three*y[i]*y[i] - r_squared)*tmp;
psizz[i] = (three*z[i]*z[i] - r_squared)*tmp;
}
}
gxx[i] = one;
gyy[i] = one;
gzz[i] = one;
gxy[i] = zero;
gxz[i] = zero;
gyz[i] = zero;
}
}
else
{
for (i = 0; i < npoints; i++)
{
tmp = one + mass/two/r[i];
gxx[i] = tmp*tmp*tmp*tmp;
gyy[i] = gxx[i];
gzz[i] = gxx[i];
gxy[i] = zero;
gxz[i] = zero;
gyz[i] = zero;
}
}
/* If the initial lapse is not one ... */
if (CCTK_Equals(initial_lapse,"schwarz"))
{
CCTK_INFO("Initialise with Schwarzschild lapse");
for (i = 0; i < npoints; i++)
{
alp[i] = (2.*r[i] - mass)/(2.*r[i]+mass);
}
}
/* time symmetric initial slice */
IDAnalyticBH_zero_CCTK_REAL_array(npoints, kxx);
IDAnalyticBH_zero_CCTK_REAL_array(npoints, kxy);
IDAnalyticBH_zero_CCTK_REAL_array(npoints, kxz);
IDAnalyticBH_zero_CCTK_REAL_array(npoints, kyy);
IDAnalyticBH_zero_CCTK_REAL_array(npoints, kyz);
IDAnalyticBH_zero_CCTK_REAL_array(npoints, kzz);
}
|
