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
|
/*@@
@file WaveToy.F
@date
@author Tom Goodale
@desc
Evolution routines for the wave equation solver
@enddesc
@version $Header$
@@*/
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
/*@@
@routine WaveToyF90_Evolution
@date
@author Tom Goodale
@desc
Evolution for the wave equation
@enddesc
@history
@endhistory
@@*/
subroutine WaveToyf90_Evolution(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
! Declare local variables
INTEGER i,j,k
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
! Set up shorthands
! -----------------
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))
! Do the evolution
! ----------------
do k = kstart, kend
do j = jstart, jend
do i = istart, iend
phi(i,j,k) = factor*phi_p(i,j,k) -
1 phi_p_p(i,j,k) + (dt2) *
2 ((phi_p(i+1,j,k)+phi_p(i-1,j,k))*dx2i
3 +(phi_p(i,j+1,k)+phi_p(i,j-1,k))*dy2i
4 +(phi_p(i,j,k+1)+phi_p(i,j,k-1))*dz2i)
end do
end do
end do
end subroutine WaveToyF90_Evolution
/*@@
@routine WaveToyF90_Boundaries
@date
@author Tom Goodale
@desc
Boundary conditions for the wave equation
@enddesc
@history
@endhistory
@@*/
subroutine WaveToyF90_Boundaries(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
c Local declarations
CCTK_INT :: ierr
CHARACTER (len=100) :: boundary
INTEGER :: length
ierr = 0
c The "bound" parameter needs to be converted into a Fortran string.
call CCTK_FortranString(length,bound,boundary)
c Apply the outer boundary conditions
c -----------------------------------
c Note: In each of the following calls to Boundary_SelectVarForBC,
c default arguments are used, so an invalid table handle of -1 can
c be passed
if (CCTK_EQUALS(bound,"flat") .or. CCTK_EQUALS(bound,"static") .or.
$ CCTK_EQUALS(bound,"radiation") .or. CCTK_EQUALS(bound,"robin") .or.
$ CCTK_EQUALS(bound,"none") ) then
ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1,
$ "wavetoy::phi", boundary)
else if (CCTK_EQUALS(bound,"zero")) then
ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1,
$ "wavetoy::phi", "Scalar")
end if
if (ierr < 0) then
call CCTK_WARN(0,"WaveToyF90_Boundaries: Error in selecting boundary condition")
end if
end subroutine WaveToyF90_Boundaries
|