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
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
|
c -*-Fortran-*-
c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/src/SpaceTimeToy.F77,v 1.7 2001/03/26 02:29:24 eschnett Exp $
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
subroutine SpaceTimeToy_EulerStep (CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
integer i,j,k
c Copy
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
phi_i(i,j,k) = phi(i,j,k)
psi_i(i,j,k) = psi(i,j,k)
end do
end do
end do
if (cctk_isthornactive("hydrotoy").eq.1) then
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
u_i(i,j,k) = u(i,j,k)
vx_i(i,j,k) = vx(i,j,k)
vy_i(i,j,k) = vy(i,j,k)
vz_i(i,j,k) = vz(i,j,k)
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)
u_i(i,j,k) = 0
vx_i(i,j,k) = 0
vy_i(i,j,k) = 0
vz_i(i,j,k) = 0
end do
end do
end do
end if
c Evolve
call SpaceTimeToy_Step (CCTK_PASS_FTOF)
c Apply boundaries
call SpaceTimeToy_Boundaries (CCTK_PASS_FTOF)
c Initialise ICN iterations
icn_iteration = 0
do_iterate = 1
if (icn_iteration .eq. icn_iterations) then
do_iterate = 0
end if
end
subroutine SpaceTimeToy_ICNStep (CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
CCTK_REAL two, half
parameter (two=2, half=1/two)
integer i,j,k
c Average
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
phi_i(i,j,k) = half * (phi(i,j,k) + phi_n(i,j,k))
psi_i(i,j,k) = half * (psi(i,j,k) + psi_n(i,j,k))
end do
end do
end do
if (cctk_isthornactive("hydrotoy").eq.1) then
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
u_i(i,j,k) = half * (u(i,j,k) + u_n(i,j,k))
vx_i(i,j,k) = half * (vx(i,j,k) + vx_n(i,j,k))
vy_i(i,j,k) = half * (vy(i,j,k) + vy_n(i,j,k))
vz_i(i,j,k) = half * (vz(i,j,k) + vz_n(i,j,k))
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)
u_i(i,j,k) = 0
vx_i(i,j,k) = 0
vy_i(i,j,k) = 0
vz_i(i,j,k) = 0
end do
end do
end do
end if
c Evolve
call SpaceTimeToy_Step (CCTK_PASS_FTOF)
c Apply boundaries
call SpaceTimeToy_Boundaries (CCTK_PASS_FTOF)
c Step ICN iterations
icn_iteration = icn_iteration + 1
if (icn_iteration .eq. icn_iterations) then
do_iterate = 0
end if
end
subroutine SpaceTimeToy_Step (CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
CCTK_REAL dx,dy,dz,dt
integer i,j,k
dx = CCTK_DELTA_SPACE(1)
dy = CCTK_DELTA_SPACE(2)
dz = CCTK_DELTA_SPACE(3)
dt = CCTK_DELTA_TIME
c Evolve
do k=2,cctk_lsh(3)-1
do j=2,cctk_lsh(2)-1
do i=2,cctk_lsh(1)-1
phi_n(i,j,k) = phi(i,j,k)
$ + dt * psi_i(i,j,k)
$ + dt * u_i(i,j,k)
psi_n(i,j,k) = psi(i,j,k)
$ + dt * (phi_i(i-1,j,k) - 2*phi_i(i,j,k) + phi_i(i+1,j,k)) / dx**2
$ + dt * (phi_i(i,j-1,k) - 2*phi_i(i,j,k) + phi_i(i,j+1,k)) / dy**2
$ + dt * (phi_i(i,j,k-1) - 2*phi_i(i,j,k) + phi_i(i,j,k+1)) / dz**2
$ - dt * (vx_i(i+1,j,k) - vx_i(i-1,j,k)) / (2*dx)
$ - dt * (vy_i(i,j+1,k) - vy_i(i,j-1,k)) / (2*dy)
$ - dt * (vz_i(i,j,k+1) - vz_i(i,j,k-1)) / (2*dz)
end do
end do
end do
end
subroutine SpaceTimeToy_Boundaries (CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
CCTK_REAL zero, one
parameter (zero=0, one=1)
CCTK_REAL finf, npow
parameter (finf=1, npow=1)
integer sw(3)
integer ierr
sw(1) = 1
sw(2) = 1
sw(3) = 1
c Apply boundary condition
if (CCTK_EQUALS(bound, "flat")) then
call BndFlatGN (ierr, cctkGH, sw, "spacetimetoy::spacetimeevolve")
else if (CCTK_EQUALS(bound, "zero")) then
call BndScalarGN (ierr, cctkGH, sw, zero,
$ "spacetimetoy::spacetimeevolve")
else if (CCTK_EQUALS(bound, "radiation")) then
call BndRadiativeGN (ierr, cctkGH, sw, zero, one,
$ "spacetimetoy::spacetimeevolve", "spacetimetoy::spacetimeevolve")
else if (CCTK_EQUALS(bound, "robin")) then
call BndRobinGN (ierr, cctkGH, sw, finf, npow,
$ "spacetimetoy::spacetimeevolve")
else if (CCTK_EQUALS(bound, "none")) then
ierr = 0
else
call CCTK_WARN (0, "internal error")
end if
if (ierr .lt. 0) then
call CCTK_WARN (0, "Error while applying boundary condition")
end if
call Cart3dSymGN (ierr, cctkGH, "spacetimetoy::spacetimeevolve")
if (ierr .lt. 0) then
call CCTK_WARN (0, "Error while applying symmetry condition")
end if
end
|
