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
|
/*@@
@file WaveToy.F77
@date
@author Tom Goodale
@desc
Evolution routines for the wave equation solver
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
/*@@
@routine WaveToyF77_Evolution
@date
@author Tom Goodale
@desc
Evolution for the wave equation
@enddesc
@calls CCTK_SyncGroup, wavetoy_boundaries
@calledby
@history
@endhistory
@@*/
subroutine WaveToyF77_Evolution(CCTK_ARGUMENTS)
implicit none
c Declare variables in argument list
DECLARE_CCTK_ARGUMENTS
INTEGER i,j,k,ierr
INTEGER istart, jstart, kstart, iend, jend, kend
CCTK_REAL dx,dy,dz,dt
CCTK_REAL dx2,dy2,dz2,dt2
CCTK_REAL dx2i,dy2i,dz2i
CCTK_REAL factor
c Set up shorthands
c -----------------
dx = CCTK_DELTA_SPACE(1)
dy = CCTK_DELTA_SPACE(2)
dz = CCTK_DELTA_SPACE(3)
dt = CCTK_DELTA_TIME
dx2 = dx*dx
dy2 = dy*dy
dz2 = dz*dz
dt2 = dt*dt
dx2i = 1.0/dx2
dy2i = 1.0/dy2
dz2i = 1.0/dz2
istart = 2
jstart = 2
kstart = 2
iend = cctk_lsh(1)-1
jend = cctk_lsh(2)-1
kend = cctk_lsh(3)-1
factor = 2*(1 - (dt2)*(dx2i + dy2i + dz2i))
c Do the evolution
c ----------------
do k = kstart, kend
do j = jstart, jend
do i = istart, iend
phi_n(i,j,k) = factor*phi(i,j,k) -
& phi_p(i,j,k) + (dt2) *
& ((phi(i+1,j,k)+phi(i-1,j,k))*dx2i
& +(phi(i,j+1,k)+phi(i,j-1,k))*dy2i
& +(phi(i,j,k+1)+phi(i,j,k-1))*dz2i)
end do
end do
end do
return
end
/*@@
@routine WaveToyF77_Boundaries
@date
@author Tom Goodale
@desc
Boundary conditions for the wave equation
@enddesc
@history
@endhistory
@@*/
subroutine WaveToyF77_Boundaries(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
c Local declarations
CCTK_REAL zero,one
integer ierr
integer sw(3)
ierr = -1
zero = 0.0
one = 1.0
c Set the stencil width
c ---------------------
sw(1)=1
sw(2)=1
sw(3)=1
c Apply the symmetry boundary conditions on any coordinate axes
c -------------------------------------------------------------
call CartSymGN(ierr,cctkGH,"wavetoy::scalarevolve")
c Apply the outer boundary conditions
c -----------------------------------
if (CCTK_EQUALS(bound,"flat")) then
call BndFlatVN(ierr,cctkGH,sw,"wavetoy::phi")
else if (CCTK_EQUALS(bound,"zero")) then
call BndScalarVN(ierr,cctkGH,zero,sw,"wavetoy::phi")
else if (CCTK_Equals(bound,"radiation").eq.1) then
call BndRadiativeVN(ierr,cctkGH,sw,zero,one,"wavetoy::phi",
& "wavetoy::phi")
else if (CCTK_Equals(bound,"robin").eq.1) then
call RobinBCVar(ierr,cctkGH,1.0,1,sw,
& "wavetoy::phi")
end if
if (ierr < 0) then
call CCTK_WARN(0,"Boundary conditions not applied - giving up!");
end if
return
end
|