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
|
c -*-Fortran-*-
c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDSpaceTimeToy/src/InitialData.F77,v 1.6 2001/12/14 18:00:02 schnetter Exp $
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
subroutine IDSpaceTimeToy_InitialData (CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_REAL pi
CCTK_REAL omega
CCTK_REAL dt
CCTK_REAL x,y,z, r
integer i,j,k
pi = 4*atan(1.d0)
omega = sqrt(kx**2+ky**2+kz**2)
dt = CCTK_DELTA_TIME
if (CCTK_EQUALS(initial_data,"plane")) then
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
x = cart3d_x(i,j,k)
y = cart3d_y(i,j,k)
z = cart3d_z(i,j,k)
phi(i,j,k) = amplitude
$ * cos((kx*x + ky*y + kz*z + omega*cctk_time) * pi)
psi(i,j,k) = - amplitude
$ * sin((kx*x + ky*y + kz*z + omega*cctk_time) * pi)
$ * pi * omega
phi_p(i,j,k) = amplitude
$ * cos((kx*x + ky*y + kz*z + omega*(cctk_time - dt)) * pi)
psi_p(i,j,k) = - amplitude
$ * sin((kx*x + ky*y + kz*z + omega*(cctk_time - dt)) * pi)
$ * pi * omega
phi_p_p(i,j,k) = amplitude
$ * cos((kx*x + ky*y + kz*z + omega*(cctk_time - 2*dt)) * pi)
psi_p_p(i,j,k) = - amplitude
$ * sin((kx*x + ky*y + kz*z + omega*(cctk_time - 2*dt)) * pi)
$ * pi * omega
end do
end do
end do
else if (CCTK_EQUALS(initial_data,"gaussian")) then
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
r = spher3d_r(i,j,k)
phi(i,j,k) = amplitude / r
$ * exp(- (r - radius - cctk_time)**2 / sigma**2)
psi(i,j,k) = phi(i,j,k)
$ * 2 * (r - radius - cctk_time) / sigma**2
phi_p(i,j,k) = amplitude / r
$ * exp(- (r - radius - (cctk_time - dt))**2 / sigma**2)
psi_p(i,j,k) = phi(i,j,k)
$ * 2 * (r - radius - (cctk_time - dt)) / sigma**2
phi_p_p(i,j,k) = amplitude / r
$ * exp(- (r - radius - (cctk_time - 2*dt))**2 / sigma**2)
psi_p_p(i,j,k) = phi(i,j,k)
$ * 2 * (r - radius - (cctk_time - 2*dt)) / sigma**2
end do
end do
end do
else if (CCTK_EQUALS(initial_data, "box")) then
c Use kx,ky,kz as number of modes in each direction.
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
x = cart3d_x(i,j,k)
y = cart3d_y(i,j,k)
z = cart3d_z(i,j,k)
phi(i,j,k) = amplitude
$ * sin(kx * (x - 0.5d0) * pi)
$ * sin(ky * (y - 0.5d0) * pi)
$ * sin(kz * (z - 0.5d0) * pi)
$ * cos(omega * cctk_time * pi)
psi(i,j,k) = - amplitude
$ * sin(kx * (x - 0.5d0) * pi)
$ * sin(ky * (y - 0.5d0) * pi)
$ * sin(kz * (z - 0.5d0) * pi)
$ * sin(omega * cctk_time * pi)
$ * omega * pi
phi_p(i,j,k) = amplitude
$ * sin(kx * (x - 0.5d0) * pi)
$ * sin(ky * (y - 0.5d0) * pi)
$ * sin(kz * (z - 0.5d0) * pi)
$ * cos(omega * (cctk_time - dt) * pi)
psi_p(i,j,k) = - amplitude
$ * sin(kx * (x - 0.5d0) * pi)
$ * sin(ky * (y - 0.5d0) * pi)
$ * sin(kz * (z - 0.5d0) * pi)
$ * sin(omega * (cctk_time - dt) * pi)
$ * omega * pi
phi_p_p(i,j,k) = amplitude
$ * sin(kx * (x - 0.5d0) * pi)
$ * sin(ky * (y - 0.5d0) * pi)
$ * sin(kz * (z - 0.5d0) * pi)
$ * cos(omega * (cctk_time - 2*dt) * pi)
psi_p_p(i,j,k) = - amplitude
$ * sin(kx * (x - 0.5d0) * pi)
$ * sin(ky * (y - 0.5d0) * pi)
$ * sin(kz * (z - 0.5d0) * pi)
$ * sin(omega * (cctk_time - 2*dt) * pi)
$ * omega * pi
end do
end do
end do
else
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
phi(i,j,k) = 0
psi(i,j,k) = 0
phi_p(i,j,k) = 0
psi_p(i,j,k) = 0
phi_p_p(i,j,k) = 0
psi_p_p(i,j,k) = 0
end do
end do
end do
end if
if (hydrotoy_active.eq.1) then
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
psi(i,j,k) = psi(i,j,k) - u(i,j,k)
psi_p(i,j,k) = psi_p(i,j,k) - u_p(i,j,k)
psi_p_p(i,j,k) = psi_p_p(i,j,k) - u_p_p(i,j,k)
end do
end do
end do
end if
end
|