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
|
/*@@
@file InitialData.F77
@date
@author Tom Goodale
@desc
Initial data for the 3D Wave Equation
@enddesc
@@*/
#include "cctk.h"
#include "cctk_parameters.h"
#include "cctk_arguments.h"
/*@@
@routine WaveToyF77_InitialData
@date
@author Tom Goodale
@desc
Set up initial data for the wave equation
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine IDScalarWave_InitialData(CCTK_FARGUMENTS)
implicit none
DECLARE_CCTK_FARGUMENTS
DECLARE_CCTK_PARAMETERS
INTEGER CCTK_Equals
INTEGER i,j,k
CCTK_REAL dt,omega, pi
CCTK_REAL dx,dy,dz
pi = 4.0*atan(1.0)
c Grid spacing shortcuts
c ----------------------
dx = cctk_delta_space(1)
dy = cctk_delta_space(2)
dz = cctk_delta_space(3)
dt = cctk_delta_time
omega = sqrt(kx**2+ky**2+kz**2)
if (CCTK_Equals(initial_data,"plane").eq.1) then
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
phi(i,j,k) = amplitude*cos(kx*x(i,j,k)+ky*y(i,j,k)
& +kz*z(i,j,k)+omega*cctk_time)
phi_old(i,j,k) = amplitude*cos(kx*x(i,j,k)+ky*y(i,j,k)
& +kz*z(i,j,k)+omega*(cctk_time-dt))
end do
end do
end do
else if (CCTK_Equals(initial_data,"gaussian").eq.1) then
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
phi(i,j,k) = amplitude*exp( -(sqrt(x(i,j,k)**2
& +y(i,j,k)**2+z(i,j,k)**2)-radius)**2/sigma**2)
phi_old(i,j,k) = amplitude*exp( -(sqrt(x(i,j,k)**2
& +y(i,j,k)**2+z(i,j,k)**2)-radius-dt)**2/sigma**2)
end do
end do
end do
else if (CCTK_Equals(initial_data, "box").eq.1) 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)
phi(i,j,k) = amplitude*sin(kx*(x(i,j,k)-0.5)*pi)*
$ sin(ky*(y(i,j,k)-0.5)*pi)*
$ sin(kz*(z(i,j,k)-0.5)*pi)*
$ cos(omega*cctk_time*pi)
phi_old(i,j,k)= amplitude*sin(kx*(x(i,j,k)-0.5)*pi)*
$ sin(ky*(y(i,j,k)-0.5)*pi)*
$ sin(kz*(z(i,j,k)-0.5)*pi)*
$ cos(omega*(cctk_time-dt)*pi)
end do
end do
end do
end if
c Apply symmetry boundary conditions
c ----------------------------------
call ApplySymmetry(cctkGH,"wavetoy::scalarevolve")
c Synchronise
c -----------
call CCTK_SyncGroup(cctkGH,"wavetoy::scalarevolve")
return
end
|
