MFC
Exascale flow solver
Loading...
Searching...
No Matches
m_finite_differences.fpp.f90
Go to the documentation of this file.
1# 1 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
2!>
3!! @file
4!! @brief Contains module m_finite_differences
5
6# 1 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp" 1
7# 1 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp" 1
8# 1 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp" 1
9# 2 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
10# 3 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
11# 4 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
12# 5 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
13# 6 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
14
15# 8 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
16# 9 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
17# 10 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
18
19# 12 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
20# 1 "/home/runner/work/MFC/MFC/src/common/include/defaults/thermochem.fpp" 1
21! Default for Fypp runs outside the toolchain (e.g. documentation). Searched last, so the
22! build/include/<target>/thermochem.fpp the toolchain writes from m_thermochem takes precedence.
23# 4 "/home/runner/work/MFC/MFC/src/common/include/defaults/thermochem.fpp"
24# 5 "/home/runner/work/MFC/MFC/src/common/include/defaults/thermochem.fpp"
25# 13 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp" 2
26
27# 16 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
28# 17 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
29
30# 24 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
31
32# 53 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
33
34# 65 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
35
36# 75 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
37
38# 105 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
39
40# 117 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
41
42# 127 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
43
44# 174 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
45! New line at end of file is required for FYPP
46# 2 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp" 2
47# 1 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp" 1
48# 1 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp" 1
49# 2 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
50# 3 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
51# 4 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
52# 5 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
53# 6 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
54
55# 8 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
56# 9 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
57# 10 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
58
59# 12 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
60# 1 "/home/runner/work/MFC/MFC/src/common/include/defaults/thermochem.fpp" 1
61! Default for Fypp runs outside the toolchain (e.g. documentation). Searched last, so the
62! build/include/<target>/thermochem.fpp the toolchain writes from m_thermochem takes precedence.
63# 4 "/home/runner/work/MFC/MFC/src/common/include/defaults/thermochem.fpp"
64# 5 "/home/runner/work/MFC/MFC/src/common/include/defaults/thermochem.fpp"
65# 13 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp" 2
66
67# 16 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
68# 17 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
69
70# 24 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
71
72# 53 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
73
74# 65 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
75
76# 75 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
77
78# 105 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
79
80# 117 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
81
82# 127 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
83
84# 174 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
85! New line at end of file is required for FYPP
86# 2 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp" 2
87
88# 4 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
89# 5 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
90# 6 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
91# 7 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
92# 8 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
93
94# 20 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
95
96# 43 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
97
98# 48 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
99
100# 53 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
101
102# 58 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
103
104# 63 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
105
106# 68 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
107
108# 81 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
109
110# 95 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
111
112# 100 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
113
114# 105 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
115
116# 110 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
117
118# 115 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
119
120# 120 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
121
122# 125 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
123
124# 130 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
125
126# 135 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
127
128# 165 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
129
130# 219 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
131
132# 233 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
133
134# 258 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
135
136# 269 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
137
138# 271 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
139# 282 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
140
141# 332 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
142
143# 342 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
144
145# 352 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
146
147# 361 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
148
149# 378 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
150
151# 388 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
152
153# 395 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
154
155# 401 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
156
157# 407 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
158
159# 413 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
160
161# 419 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
162
163# 425 "/home/runner/work/MFC/MFC/src/common/include/omp_macros.fpp"
164! New line at end of file is required for FYPP
165# 3 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp" 2
166# 1 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp" 1
167# 1 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp" 1
168# 2 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
169# 3 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
170# 4 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
171# 5 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
172# 6 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
173
174# 8 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
175# 9 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
176# 10 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
177
178# 12 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
179# 1 "/home/runner/work/MFC/MFC/src/common/include/defaults/thermochem.fpp" 1
180! Default for Fypp runs outside the toolchain (e.g. documentation). Searched last, so the
181! build/include/<target>/thermochem.fpp the toolchain writes from m_thermochem takes precedence.
182# 4 "/home/runner/work/MFC/MFC/src/common/include/defaults/thermochem.fpp"
183# 5 "/home/runner/work/MFC/MFC/src/common/include/defaults/thermochem.fpp"
184# 13 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp" 2
185
186# 16 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
187# 17 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
188
189# 24 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
190
191# 53 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
192
193# 65 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
194
195# 75 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
196
197# 105 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
198
199# 117 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
200
201# 127 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
202
203# 174 "/home/runner/work/MFC/MFC/src/common/include/shared_parallel_macros.fpp"
204! New line at end of file is required for FYPP
205# 2 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp" 2
206
207# 7 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
208
209# 17 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
210
211# 22 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
212
213# 27 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
214
215# 32 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
216
217# 37 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
218
219# 42 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
220
221# 47 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
222
223# 52 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
224
225# 57 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
226
227# 62 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
228
229# 73 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
230
231# 78 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
232
233# 83 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
234
235# 88 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
236
237# 103 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
238
239# 131 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
240
241# 160 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
242
243# 175 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
244
245# 193 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
246
247# 215 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
248
249# 244 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
250
251# 259 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
252
253# 269 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
254
255# 278 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
256
257# 294 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
258
259# 304 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
260
261# 311 "/home/runner/work/MFC/MFC/src/common/include/acc_macros.fpp"
262! New line at end of file is required for FYPP
263# 4 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp" 2
264
265! GPU parallel region (scalar reductions, maxval/minval)
266# 23 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
267
268! GPU parallel loop over threads (most common GPU macro)
269# 43 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
270
271! Required closing for GPU_PARALLEL_LOOP
272# 55 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
273
274! Mark routine for device compilation
275# 112 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
276
277! Declare device-resident data
278# 130 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
279
280! Inner loop within a GPU parallel region
281# 145 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
282
283! Scoped GPU data region
284# 164 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
285
286! Host code with device pointers (for MPI with GPU buffers)
287# 193 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
288
289! Allocate device memory (unscoped)
290# 207 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
291
292! Free device memory
293# 219 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
294
295! Atomic operation on device
296# 231 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
297
298! End atomic capture block
299# 242 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
300
301! Copy data between host and device
302# 254 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
303
304! Synchronization barrier
305# 266 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
306
307! Import GPU library module (openacc or omp_lib)
308# 275 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
309
310! Emit code only for AMD compiler
311# 282 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
312
313! Emit code for non-Cray compilers
314# 289 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
315
316! Emit code only for Cray compiler
317# 296 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
318
319! Emit code for non-NVIDIA compilers
320# 303 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
321
322# 305 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
323# 306 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
324! New line at end of file is required for FYPP
325# 2 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp" 2
326
327# 14 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
328
329! Caution: This macro requires the use of a binding script to set CUDA_VISIBLE_DEVICES, such that we have one GPU device per MPI
330! rank. That's because for both cudaMemAdvise (preferred location) and cudaMemPrefetchAsync we use location = device_id = 0. For an
331! example see misc/nvidia_uvm/bind.sh.
332# 52 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
333
334! Allocate and create GPU device memory
335# 72 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
336
337! Free GPU device memory and deallocate
338# 80 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
339
340! Cray-specific GPU pointer setup for vector fields
341# 104 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
342
343! Cray-specific GPU pointer setup for scalar fields
344# 120 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
345
346! Cray-specific GPU pointer setup for acoustic source spatials
347# 145 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
348
349# 151 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
350
351# 158 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
352! New line at end of file is required for FYPP
353# 6 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp" 2
354
355!> @brief Finite difference operators for computing divergence of velocity fields
356module m_finite_differences
357
358 use m_global_parameters
359
360 implicit none
361
362contains
363
364 !> Compute the centered finite-difference coefficients for first-order spatial derivatives in the s-coordinate direction (x, y,
365 !! or z). Supports up to 4th order accuracy.
366 !! @param fd_coeff_s Finite-diff. coefficients in the s-coordinate direction
367 !! @param local_buff_size Size of the local buffer
368 !! @param fd_number_in Finite-difference number
369 !! @param fd_order_in Finite-difference order of accuracy
370 !! @param offset_s Optional offset bounds in the s-coordinate direction
371 subroutine s_compute_finite_difference_coefficients(q, s_cc, fd_coeff_s, local_buff_size, fd_number_in, fd_order_in, offset_s)
372
373 integer :: lB, lE !< loop bounds
374 integer, intent(in) :: q
375 integer, intent(in) :: local_buff_size, fd_number_in, fd_order_in
376 type(int_bounds_info), optional, intent(in) :: offset_s
377 real(wp), allocatable, dimension(:,:), intent(inout) :: fd_coeff_s
378 real(wp), dimension(-local_buff_size:q + local_buff_size), intent(in) :: s_cc
379 integer :: i !< Generic loop iterator
380
381 ! Coefficients always extend at least fd_number_in beyond the interior on each side, so a stencil centered on a
382 ! ghost-adjacent cell (e.g. an immersed boundary near a domain boundary) has a real coefficient to read instead of
383 ! reading past the caller's allocation. offset_s, when given, widens this further (never narrows it) for callers
384 ! that need more than fd_number_in of margin.
385
386 if (present(offset_s)) then
387 lb = -max(fd_number_in, offset_s%beg)
388 le = q + max(fd_number_in, offset_s%end)
389 else
390 lb = -fd_number_in
391 le = q + fd_number_in
392 end if
393
394 ! The stencil below reaches fd_number_in cells either side of i, and s_cc only exists over the
395 ! caller's buffer, so the loop cannot start closer than fd_number_in to either end of it. Without
396 ! this, a caller whose buffer is narrower than 2*fd_number_in reads off the front of s_cc: a
397 ! 4th-order hypoelastic case with buff_size = 2 starts at i = -2 and immediately asks for
398 ! s_cc(-4). Immersed-boundary cases are unaffected -- s_mfc_buff_size gives them buff_size >= 10,
399 ! so the clamp never binds and they still get coefficients out to -fd_number_in, which is the
400 ! whole point of widening the range above.
401 lb = max(lb, -local_buff_size + fd_number_in)
402 le = min(le, q + local_buff_size - fd_number_in)
403
404 ! Computing the 1st order finite-difference coefficients
405 if (fd_order_in == 1) then
406 do i = lb, le
407 fd_coeff_s(-1, i) = 0._wp
408 fd_coeff_s(0, i) = -1._wp/(s_cc(i + 1) - s_cc(i))
409 fd_coeff_s(1, i) = -fd_coeff_s(0, i)
410 end do
411
412 ! Computing the 2nd order finite-difference coefficients
413 else if (fd_order_in == 2) then
414 do i = lb, le
415 fd_coeff_s(-1, i) = -1._wp/(s_cc(i + 1) - s_cc(i - 1))
416 fd_coeff_s(0, i) = 0._wp
417 fd_coeff_s(1, i) = -fd_coeff_s(-1, i)
418 end do
419
420 ! Computing the 4th order finite-difference coefficients
421 else
422 do i = lb, le
423 fd_coeff_s(-2, i) = 1._wp/(s_cc(i - 2) - 8._wp*s_cc(i - 1) - s_cc(i + 2) + 8._wp*s_cc(i + 1))
424 fd_coeff_s(-1, i) = -8._wp*fd_coeff_s(-2, i)
425 fd_coeff_s(0, i) = 0._wp
426 fd_coeff_s(1, i) = -fd_coeff_s(-1, i)
427 fd_coeff_s(2, i) = -fd_coeff_s(-2, i)
428 end do
429 end if
430
431 end subroutine s_compute_finite_difference_coefficients
432
433end module m_finite_differences
m_finite_differences
Finite difference operators for computing divergence of velocity fields.
Definition m_finite_differences.fpp.f90:356
m_finite_differences::s_compute_finite_difference_coefficients
subroutine s_compute_finite_difference_coefficients(q, s_cc, fd_coeff_s, local_buff_size, fd_number_in, fd_order_in, offset_s)
Compute the centered finite-difference coefficients for first-order spatial derivatives in the s-coor...
Definition m_finite_differences.fpp.f90:372
m_global_parameters
Defines global parameters for the computational domain, simulation algorithm, and initial conditions.
Definition m_global_parameters.fpp.f90:19