Neko 1.99.1
A portable framework for high-order spectral element flow simulations
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cpu_dudxyz.f90
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34submodule(opr_cpu) cpu_dudxyz
35 implicit none
36
37contains
38
39 module subroutine opr_cpu_dudxyz(du, u, dr, ds, dt, coef)
40 type(coef_t), intent(in), target :: coef
41 real(kind=rp), dimension(coef%Xh%lx, coef%Xh%ly, & coef%Xh%lz, coef%msh%nelv), intent(inout) :: du
42 real(kind=rp), dimension(coef%Xh%lx, coef%Xh%ly, & coef%Xh%lz, coef%msh%nelv), intent(in) :: u, dr, ds, dt
43
44 associate(xh => coef%Xh, msh => coef%msh, dof => coef%dof)
45 select case (coef%Xh%lx)
46 case (14)
47 call cpu_dudxyz_lx14(du, u, dr, ds, dt, &
48 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
49 case (13)
50 call cpu_dudxyz_lx13(du, u, dr, ds, dt, &
51 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
52 case (12)
53 call cpu_dudxyz_lx12(du, u, dr, ds, dt, &
54 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
55 case (11)
56 call cpu_dudxyz_lx11(du, u, dr, ds, dt, &
57 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
58 case (10)
59 call cpu_dudxyz_lx10(du, u, dr, ds, dt, &
60 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
61 case (9)
62 call cpu_dudxyz_lx9(du, u, dr, ds, dt, &
63 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
64 case (8)
65 call cpu_dudxyz_lx8(du, u, dr, ds, dt, &
66 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
67 case (7)
68 call cpu_dudxyz_lx7(du, u, dr, ds, dt, &
69 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
70 case (6)
71 call cpu_dudxyz_lx6(du, u, dr, ds, dt, &
72 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
73 case (5)
74 call cpu_dudxyz_lx5(du, u, dr, ds, dt, &
75 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
76 case (4)
77 call cpu_dudxyz_lx4(du, u, dr, ds, dt, &
78 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
79 case (3)
80 call cpu_dudxyz_lx3(du, u, dr, ds, dt, &
81 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
82 case (2)
83 call cpu_dudxyz_lx2(du, u, dr, ds, dt, &
84 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv)
85 case default
86 call cpu_dudxyz_lx(du, u, dr, ds, dt, &
87 xh%dx, xh%dy, xh%dz, coef%jacinv, msh%nelv, xh%lx)
88 end select
89
90 end associate
91
92 end subroutine opr_cpu_dudxyz
93
94 subroutine cpu_dudxyz_lx(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel, lx)
95 integer, intent(in) :: nel, lx
96 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
97 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
98 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
99 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
100 real(kind=rp), dimension(lx, lx, lx) :: drst
101 real(kind=rp) :: tmp
102 integer :: e, i, j, k, l
103
104 do e = 1, nel
105 do j = 1, lx * lx
106 do i = 1, lx
107 tmp = 0.0_rp
108 do k = 1, lx
109 tmp = tmp + dx(i,k) * u(k,j,1,e)
110 end do
111 du(i,j,1,e) = tmp
112 end do
113 end do
114
115 do i = 1, lx * lx * lx
116 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
117 end do
118
119 do k = 1, lx
120 do j = 1, lx
121 do i = 1, lx
122 tmp = 0.0_rp
123 do l = 1, lx
124 tmp = tmp + dy(j,l) * u(i,l,k,e)
125 end do
126 drst(i,j,k) = tmp
127 end do
128 end do
129 end do
130
131 do i = 1, lx * lx * lx
132 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
133 end do
134
135 do k = 1, lx
136 do i = 1, lx*lx
137 tmp = 0.0_rp
138 do l = 1, lx
139 tmp = tmp + dz(k,l) * u(i,1,l,e)
140 end do
141 drst(i,1,k) = tmp
142 end do
143 end do
144
145 do i = 1, lx * lx * lx
146 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
147 end do
148
149 do i = 1, lx * lx * lx
150 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
151 end do
152
153 end do
154
155 end subroutine cpu_dudxyz_lx
156
157 subroutine cpu_dudxyz_lx14(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
158 integer, parameter :: lx = 14
159 integer, intent(in) :: nel
160 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
161 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
162 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
163 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
164 real(kind=rp), dimension(lx, lx, lx) :: drst
165 integer :: e, i, j, k
166
167 do e = 1, nel
168 do j = 1, lx * lx
169 do i = 1, lx
170 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
171 + dx(i,2) * u(2,j,1,e) &
172 + dx(i,3) * u(3,j,1,e) &
173 + dx(i,4) * u(4,j,1,e) &
174 + dx(i,5) * u(5,j,1,e) &
175 + dx(i,6) * u(6,j,1,e) &
176 + dx(i,7) * u(7,j,1,e) &
177 + dx(i,8) * u(8,j,1,e) &
178 + dx(i,9) * u(9,j,1,e) &
179 + dx(i,10) * u(10,j,1,e) &
180 + dx(i,11) * u(11,j,1,e) &
181 + dx(i,12) * u(12,j,1,e) &
182 + dx(i,13) * u(13,j,1,e) &
183 + dx(i,14) * u(14,j,1,e)
184 end do
185 end do
186
187 do i = 1, lx * lx * lx
188 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
189 end do
190
191 do k = 1, lx
192 do j = 1, lx
193 do i = 1, lx
194 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
195 + dy(j,2) * u(i,2,k,e) &
196 + dy(j,3) * u(i,3,k,e) &
197 + dy(j,4) * u(i,4,k,e) &
198 + dy(j,5) * u(i,5,k,e) &
199 + dy(j,6) * u(i,6,k,e) &
200 + dy(j,7) * u(i,7,k,e) &
201 + dy(j,8) * u(i,8,k,e) &
202 + dy(j,9) * u(i,9,k,e) &
203 + dy(j,10) * u(i,10,k,e) &
204 + dy(j,11) * u(i,11,k,e) &
205 + dy(j,12) * u(i,12,k,e) &
206 + dy(j,13) * u(i,13,k,e) &
207 + dy(j,14) * u(i,14,k,e)
208 end do
209 end do
210 end do
211
212 do i = 1, lx * lx * lx
213 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
214 end do
215
216 do k = 1, lx
217 do i = 1, lx*lx
218 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
219 + dz(k,2) * u(i,1,2,e) &
220 + dz(k,3) * u(i,1,3,e) &
221 + dz(k,4) * u(i,1,4,e) &
222 + dz(k,5) * u(i,1,5,e) &
223 + dz(k,6) * u(i,1,6,e) &
224 + dz(k,7) * u(i,1,7,e) &
225 + dz(k,8) * u(i,1,8,e) &
226 + dz(k,9) * u(i,1,9,e) &
227 + dz(k,10) * u(i,1,10,e) &
228 + dz(k,11) * u(i,1,11,e) &
229 + dz(k,12) * u(i,1,12,e) &
230 + dz(k,13) * u(i,1,13,e) &
231 + dz(k,14) * u(i,1,14,e)
232 end do
233 end do
234
235 do i = 1, lx * lx * lx
236 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
237 end do
238
239 do i = 1, lx * lx * lx
240 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
241 end do
242
243 end do
244
245 end subroutine cpu_dudxyz_lx14
246
247 subroutine cpu_dudxyz_lx13(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
248 integer, parameter :: lx = 13
249 integer, intent(in) :: nel
250 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
251 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
252 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
253 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
254 real(kind=rp), dimension(lx, lx, lx) :: drst
255 integer :: e, i, j, k
256
257 do e = 1, nel
258 do j = 1, lx * lx
259 do i = 1, lx
260 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
261 + dx(i,2) * u(2,j,1,e) &
262 + dx(i,3) * u(3,j,1,e) &
263 + dx(i,4) * u(4,j,1,e) &
264 + dx(i,5) * u(5,j,1,e) &
265 + dx(i,6) * u(6,j,1,e) &
266 + dx(i,7) * u(7,j,1,e) &
267 + dx(i,8) * u(8,j,1,e) &
268 + dx(i,9) * u(9,j,1,e) &
269 + dx(i,10) * u(10,j,1,e) &
270 + dx(i,11) * u(11,j,1,e) &
271 + dx(i,12) * u(12,j,1,e) &
272 + dx(i,13) * u(13,j,1,e)
273 end do
274 end do
275
276 do i = 1, lx * lx * lx
277 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
278 end do
279
280 do k = 1, lx
281 do j = 1, lx
282 do i = 1, lx
283 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
284 + dy(j,2) * u(i,2,k,e) &
285 + dy(j,3) * u(i,3,k,e) &
286 + dy(j,4) * u(i,4,k,e) &
287 + dy(j,5) * u(i,5,k,e) &
288 + dy(j,6) * u(i,6,k,e) &
289 + dy(j,7) * u(i,7,k,e) &
290 + dy(j,8) * u(i,8,k,e) &
291 + dy(j,9) * u(i,9,k,e) &
292 + dy(j,10) * u(i,10,k,e) &
293 + dy(j,11) * u(i,11,k,e) &
294 + dy(j,12) * u(i,12,k,e) &
295 + dy(j,13) * u(i,13,k,e)
296 end do
297 end do
298 end do
299
300 do i = 1, lx * lx * lx
301 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
302 end do
303
304 do k = 1, lx
305 do i = 1, lx*lx
306 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
307 + dz(k,2) * u(i,1,2,e) &
308 + dz(k,3) * u(i,1,3,e) &
309 + dz(k,4) * u(i,1,4,e) &
310 + dz(k,5) * u(i,1,5,e) &
311 + dz(k,6) * u(i,1,6,e) &
312 + dz(k,7) * u(i,1,7,e) &
313 + dz(k,8) * u(i,1,8,e) &
314 + dz(k,9) * u(i,1,9,e) &
315 + dz(k,10) * u(i,1,10,e) &
316 + dz(k,11) * u(i,1,11,e) &
317 + dz(k,12) * u(i,1,12,e) &
318 + dz(k,13) * u(i,1,13,e)
319 end do
320 end do
321
322 do i = 1, lx * lx * lx
323 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
324 end do
325
326 do i = 1, lx * lx * lx
327 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
328 end do
329
330 end do
331
332 end subroutine cpu_dudxyz_lx13
333
334 subroutine cpu_dudxyz_lx12(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
335 integer, parameter :: lx = 12
336 integer, intent(in) :: nel
337 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
338 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
339 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
340 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
341 real(kind=rp), dimension(lx, lx, lx) :: drst
342 integer :: e, i, j, k
343
344 do e = 1, nel
345 do j = 1, lx * lx
346 do i = 1, lx
347 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
348 + dx(i,2) * u(2,j,1,e) &
349 + dx(i,3) * u(3,j,1,e) &
350 + dx(i,4) * u(4,j,1,e) &
351 + dx(i,5) * u(5,j,1,e) &
352 + dx(i,6) * u(6,j,1,e) &
353 + dx(i,7) * u(7,j,1,e) &
354 + dx(i,8) * u(8,j,1,e) &
355 + dx(i,9) * u(9,j,1,e) &
356 + dx(i,10) * u(10,j,1,e) &
357 + dx(i,11) * u(11,j,1,e) &
358 + dx(i,12) * u(12,j,1,e)
359 end do
360 end do
361
362 do i = 1, lx * lx * lx
363 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
364 end do
365
366 do k = 1, lx
367 do j = 1, lx
368 do i = 1, lx
369 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
370 + dy(j,2) * u(i,2,k,e) &
371 + dy(j,3) * u(i,3,k,e) &
372 + dy(j,4) * u(i,4,k,e) &
373 + dy(j,5) * u(i,5,k,e) &
374 + dy(j,6) * u(i,6,k,e) &
375 + dy(j,7) * u(i,7,k,e) &
376 + dy(j,8) * u(i,8,k,e) &
377 + dy(j,9) * u(i,9,k,e) &
378 + dy(j,10) * u(i,10,k,e) &
379 + dy(j,11) * u(i,11,k,e) &
380 + dy(j,12) * u(i,12,k,e)
381 end do
382 end do
383 end do
384
385 do i = 1, lx * lx * lx
386 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
387 end do
388
389 do k = 1, lx
390 do i = 1, lx*lx
391 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
392 + dz(k,2) * u(i,1,2,e) &
393 + dz(k,3) * u(i,1,3,e) &
394 + dz(k,4) * u(i,1,4,e) &
395 + dz(k,5) * u(i,1,5,e) &
396 + dz(k,6) * u(i,1,6,e) &
397 + dz(k,7) * u(i,1,7,e) &
398 + dz(k,8) * u(i,1,8,e) &
399 + dz(k,9) * u(i,1,9,e) &
400 + dz(k,10) * u(i,1,10,e) &
401 + dz(k,11) * u(i,1,11,e) &
402 + dz(k,12) * u(i,1,12,e)
403 end do
404 end do
405
406 do i = 1, lx * lx * lx
407 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
408 end do
409
410 do i = 1, lx * lx * lx
411 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
412 end do
413
414 end do
415
416 end subroutine cpu_dudxyz_lx12
417
418 subroutine cpu_dudxyz_lx11(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
419 integer, parameter :: lx = 11
420 integer, intent(in) :: nel
421 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
422 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
423 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
424 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
425 real(kind=rp), dimension(lx, lx, lx) :: drst
426 integer :: e, i, j, k
427
428 do e = 1, nel
429 do j = 1, lx * lx
430 do i = 1, lx
431 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
432 + dx(i,2) * u(2,j,1,e) &
433 + dx(i,3) * u(3,j,1,e) &
434 + dx(i,4) * u(4,j,1,e) &
435 + dx(i,5) * u(5,j,1,e) &
436 + dx(i,6) * u(6,j,1,e) &
437 + dx(i,7) * u(7,j,1,e) &
438 + dx(i,8) * u(8,j,1,e) &
439 + dx(i,9) * u(9,j,1,e) &
440 + dx(i,10) * u(10,j,1,e) &
441 + dx(i,11) * u(11,j,1,e)
442 end do
443 end do
444
445 do i = 1, lx * lx * lx
446 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
447 end do
448
449 do k = 1, lx
450 do j = 1, lx
451 do i = 1, lx
452 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
453 + dy(j,2) * u(i,2,k,e) &
454 + dy(j,3) * u(i,3,k,e) &
455 + dy(j,4) * u(i,4,k,e) &
456 + dy(j,5) * u(i,5,k,e) &
457 + dy(j,6) * u(i,6,k,e) &
458 + dy(j,7) * u(i,7,k,e) &
459 + dy(j,8) * u(i,8,k,e) &
460 + dy(j,9) * u(i,9,k,e) &
461 + dy(j,10) * u(i,10,k,e) &
462 + dy(j,11) * u(i,11,k,e)
463 end do
464 end do
465 end do
466
467 do i = 1, lx * lx * lx
468 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
469 end do
470
471 do k = 1, lx
472 do i = 1, lx*lx
473 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
474 + dz(k,2) * u(i,1,2,e) &
475 + dz(k,3) * u(i,1,3,e) &
476 + dz(k,4) * u(i,1,4,e) &
477 + dz(k,5) * u(i,1,5,e) &
478 + dz(k,6) * u(i,1,6,e) &
479 + dz(k,7) * u(i,1,7,e) &
480 + dz(k,8) * u(i,1,8,e) &
481 + dz(k,9) * u(i,1,9,e) &
482 + dz(k,10) * u(i,1,10,e) &
483 + dz(k,11) * u(i,1,11,e)
484 end do
485 end do
486
487 do i = 1, lx * lx * lx
488 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
489 end do
490
491 do i = 1, lx * lx * lx
492 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
493 end do
494
495 end do
496
497 end subroutine cpu_dudxyz_lx11
498
499 subroutine cpu_dudxyz_lx10(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
500 integer, parameter :: lx = 10
501 integer, intent(in) :: nel
502 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
503 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
504 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
505 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
506 real(kind=rp), dimension(lx, lx, lx) :: drst
507 integer :: e, i, j, k
508
509 do e = 1, nel
510 do j = 1, lx * lx
511 do i = 1, lx
512 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
513 + dx(i,2) * u(2,j,1,e) &
514 + dx(i,3) * u(3,j,1,e) &
515 + dx(i,4) * u(4,j,1,e) &
516 + dx(i,5) * u(5,j,1,e) &
517 + dx(i,6) * u(6,j,1,e) &
518 + dx(i,7) * u(7,j,1,e) &
519 + dx(i,8) * u(8,j,1,e) &
520 + dx(i,9) * u(9,j,1,e) &
521 + dx(i,10) * u(10,j,1,e)
522 end do
523 end do
524
525 do i = 1, lx * lx * lx
526 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
527 end do
528
529 do k = 1, lx
530 do j = 1, lx
531 do i = 1, lx
532 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
533 + dy(j,2) * u(i,2,k,e) &
534 + dy(j,3) * u(i,3,k,e) &
535 + dy(j,4) * u(i,4,k,e) &
536 + dy(j,5) * u(i,5,k,e) &
537 + dy(j,6) * u(i,6,k,e) &
538 + dy(j,7) * u(i,7,k,e) &
539 + dy(j,8) * u(i,8,k,e) &
540 + dy(j,9) * u(i,9,k,e) &
541 + dy(j,10) * u(i,10,k,e)
542 end do
543 end do
544 end do
545
546 do i = 1, lx * lx * lx
547 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
548 end do
549
550 do k = 1, lx
551 do i = 1, lx*lx
552 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
553 + dz(k,2) * u(i,1,2,e) &
554 + dz(k,3) * u(i,1,3,e) &
555 + dz(k,4) * u(i,1,4,e) &
556 + dz(k,5) * u(i,1,5,e) &
557 + dz(k,6) * u(i,1,6,e) &
558 + dz(k,7) * u(i,1,7,e) &
559 + dz(k,8) * u(i,1,8,e) &
560 + dz(k,9) * u(i,1,9,e) &
561 + dz(k,10) * u(i,1,10,e)
562 end do
563 end do
564
565 do i = 1, lx * lx * lx
566 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
567 end do
568
569 do i = 1, lx * lx * lx
570 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
571 end do
572
573 end do
574
575 end subroutine cpu_dudxyz_lx10
576
577 subroutine cpu_dudxyz_lx9(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
578 integer, parameter :: lx = 9
579 integer, intent(in) :: nel
580 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
581 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
582 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
583 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
584 real(kind=rp), dimension(lx, lx, lx) :: drst
585 integer :: e, i, j, k
586
587 do e = 1, nel
588 do j = 1, lx * lx
589 do i = 1, lx
590 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
591 + dx(i,2) * u(2,j,1,e) &
592 + dx(i,3) * u(3,j,1,e) &
593 + dx(i,4) * u(4,j,1,e) &
594 + dx(i,5) * u(5,j,1,e) &
595 + dx(i,6) * u(6,j,1,e) &
596 + dx(i,7) * u(7,j,1,e) &
597 + dx(i,8) * u(8,j,1,e) &
598 + dx(i,9) * u(9,j,1,e)
599 end do
600 end do
601
602 do i = 1, lx * lx * lx
603 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
604 end do
605
606 do k = 1, lx
607 do j = 1, lx
608 do i = 1, lx
609 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
610 + dy(j,2) * u(i,2,k,e) &
611 + dy(j,3) * u(i,3,k,e) &
612 + dy(j,4) * u(i,4,k,e) &
613 + dy(j,5) * u(i,5,k,e) &
614 + dy(j,6) * u(i,6,k,e) &
615 + dy(j,7) * u(i,7,k,e) &
616 + dy(j,8) * u(i,8,k,e) &
617 + dy(j,9) * u(i,9,k,e)
618 end do
619 end do
620 end do
621
622 do i = 1, lx * lx * lx
623 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
624 end do
625
626 do k = 1, lx
627 do i = 1, lx*lx
628 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
629 + dz(k,2) * u(i,1,2,e) &
630 + dz(k,3) * u(i,1,3,e) &
631 + dz(k,4) * u(i,1,4,e) &
632 + dz(k,5) * u(i,1,5,e) &
633 + dz(k,6) * u(i,1,6,e) &
634 + dz(k,7) * u(i,1,7,e) &
635 + dz(k,8) * u(i,1,8,e) &
636 + dz(k,9) * u(i,1,9,e)
637 end do
638 end do
639
640 do i = 1, lx * lx * lx
641 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
642 end do
643
644 do i = 1, lx * lx * lx
645 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
646 end do
647
648 end do
649
650 end subroutine cpu_dudxyz_lx9
651
652 subroutine cpu_dudxyz_lx8(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
653 integer, parameter :: lx = 8
654 integer, intent(in) :: nel
655 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
656 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
657 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
658 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
659 real(kind=rp), dimension(lx, lx, lx) :: drst
660 integer :: e, i, j, k
661
662 do e = 1, nel
663 do j = 1, lx * lx
664 do i = 1, lx
665 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
666 + dx(i,2) * u(2,j,1,e) &
667 + dx(i,3) * u(3,j,1,e) &
668 + dx(i,4) * u(4,j,1,e) &
669 + dx(i,5) * u(5,j,1,e) &
670 + dx(i,6) * u(6,j,1,e) &
671 + dx(i,7) * u(7,j,1,e) &
672 + dx(i,8) * u(8,j,1,e)
673 end do
674 end do
675
676 do i = 1, lx * lx * lx
677 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
678 end do
679
680 do k = 1, lx
681 do j = 1, lx
682 do i = 1, lx
683 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
684 + dy(j,2) * u(i,2,k,e) &
685 + dy(j,3) * u(i,3,k,e) &
686 + dy(j,4) * u(i,4,k,e) &
687 + dy(j,5) * u(i,5,k,e) &
688 + dy(j,6) * u(i,6,k,e) &
689 + dy(j,7) * u(i,7,k,e) &
690 + dy(j,8) * u(i,8,k,e)
691 end do
692 end do
693 end do
694
695 do i = 1, lx * lx * lx
696 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
697 end do
698
699 do k = 1, lx
700 do i = 1, lx*lx
701 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
702 + dz(k,2) * u(i,1,2,e) &
703 + dz(k,3) * u(i,1,3,e) &
704 + dz(k,4) * u(i,1,4,e) &
705 + dz(k,5) * u(i,1,5,e) &
706 + dz(k,6) * u(i,1,6,e) &
707 + dz(k,7) * u(i,1,7,e) &
708 + dz(k,8) * u(i,1,8,e)
709 end do
710 end do
711
712 do i = 1, lx * lx * lx
713 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
714 end do
715
716 do i = 1, lx * lx * lx
717 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
718 end do
719
720 end do
721
722 end subroutine cpu_dudxyz_lx8
723
724 subroutine cpu_dudxyz_lx7(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
725 integer, parameter :: lx = 7
726 integer, intent(in) :: nel
727 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
728 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
729 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
730 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
731 real(kind=rp), dimension(lx, lx, lx) :: drst
732 integer :: e, i, j, k
733
734 do e = 1, nel
735 do j = 1, lx * lx
736 do i = 1, lx
737 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
738 + dx(i,2) * u(2,j,1,e) &
739 + dx(i,3) * u(3,j,1,e) &
740 + dx(i,4) * u(4,j,1,e) &
741 + dx(i,5) * u(5,j,1,e) &
742 + dx(i,6) * u(6,j,1,e) &
743 + dx(i,7) * u(7,j,1,e)
744 end do
745 end do
746
747 do i = 1, lx * lx * lx
748 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
749 end do
750
751 do k = 1, lx
752 do j = 1, lx
753 do i = 1, lx
754 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
755 + dy(j,2) * u(i,2,k,e) &
756 + dy(j,3) * u(i,3,k,e) &
757 + dy(j,4) * u(i,4,k,e) &
758 + dy(j,5) * u(i,5,k,e) &
759 + dy(j,6) * u(i,6,k,e) &
760 + dy(j,7) * u(i,7,k,e)
761 end do
762 end do
763 end do
764
765 do i = 1, lx * lx * lx
766 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
767 end do
768
769 do k = 1, lx
770 do i = 1, lx*lx
771 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
772 + dz(k,2) * u(i,1,2,e) &
773 + dz(k,3) * u(i,1,3,e) &
774 + dz(k,4) * u(i,1,4,e) &
775 + dz(k,5) * u(i,1,5,e) &
776 + dz(k,6) * u(i,1,6,e) &
777 + dz(k,7) * u(i,1,7,e)
778 end do
779 end do
780
781 do i = 1, lx * lx * lx
782 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
783 end do
784
785 do i = 1, lx * lx * lx
786 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
787 end do
788
789 end do
790
791 end subroutine cpu_dudxyz_lx7
792
793 subroutine cpu_dudxyz_lx6(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
794 integer, parameter :: lx = 6
795 integer, intent(in) :: nel
796 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
797 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
798 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
799 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
800 real(kind=rp), dimension(lx, lx, lx) :: drst
801 integer :: e, i, j, k
802
803 do e = 1, nel
804 do j = 1, lx * lx
805 do i = 1, lx
806 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
807 + dx(i,2) * u(2,j,1,e) &
808 + dx(i,3) * u(3,j,1,e) &
809 + dx(i,4) * u(4,j,1,e) &
810 + dx(i,5) * u(5,j,1,e) &
811 + dx(i,6) * u(6,j,1,e)
812 end do
813 end do
814
815 do i = 1, lx * lx * lx
816 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
817 end do
818
819 do k = 1, lx
820 do j = 1, lx
821 do i = 1, lx
822 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
823 + dy(j,2) * u(i,2,k,e) &
824 + dy(j,3) * u(i,3,k,e) &
825 + dy(j,4) * u(i,4,k,e) &
826 + dy(j,5) * u(i,5,k,e) &
827 + dy(j,6) * u(i,6,k,e)
828 end do
829 end do
830 end do
831
832 do i = 1, lx * lx * lx
833 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
834 end do
835
836 do k = 1, lx
837 do i = 1, lx*lx
838 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
839 + dz(k,2) * u(i,1,2,e) &
840 + dz(k,3) * u(i,1,3,e) &
841 + dz(k,4) * u(i,1,4,e) &
842 + dz(k,5) * u(i,1,5,e) &
843 + dz(k,6) * u(i,1,6,e)
844 end do
845 end do
846
847 do i = 1, lx * lx * lx
848 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
849 end do
850
851 do i = 1, lx * lx * lx
852 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
853 end do
854
855 end do
856
857 end subroutine cpu_dudxyz_lx6
858
859 subroutine cpu_dudxyz_lx5(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
860 integer, parameter :: lx = 5
861 integer, intent(in) :: nel
862 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
863 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
864 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
865 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
866 real(kind=rp), dimension(lx, lx, lx) :: drst
867 integer :: e, i, j, k
868
869 do e = 1, nel
870 do j = 1, lx * lx
871 do i = 1, lx
872 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
873 + dx(i,2) * u(2,j,1,e) &
874 + dx(i,3) * u(3,j,1,e) &
875 + dx(i,4) * u(4,j,1,e) &
876 + dx(i,5) * u(5,j,1,e)
877 end do
878 end do
879
880 do i = 1, lx * lx * lx
881 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
882 end do
883
884 do k = 1, lx
885 do j = 1, lx
886 do i = 1, lx
887 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
888 + dy(j,2) * u(i,2,k,e) &
889 + dy(j,3) * u(i,3,k,e) &
890 + dy(j,4) * u(i,4,k,e) &
891 + dy(j,5) * u(i,5,k,e)
892 end do
893 end do
894 end do
895
896 do i = 1, lx * lx * lx
897 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
898 end do
899
900 do k = 1, lx
901 do i = 1, lx*lx
902 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
903 + dz(k,2) * u(i,1,2,e) &
904 + dz(k,3) * u(i,1,3,e) &
905 + dz(k,4) * u(i,1,4,e) &
906 + dz(k,5) * u(i,1,5,e)
907 end do
908 end do
909
910 do i = 1, lx * lx * lx
911 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
912 end do
913
914 do i = 1, lx * lx * lx
915 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
916 end do
917
918 end do
919
920 end subroutine cpu_dudxyz_lx5
921
922 subroutine cpu_dudxyz_lx4(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
923 integer, parameter :: lx = 4
924 integer, intent(in) :: nel
925 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
926 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
927 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
928 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
929 real(kind=rp), dimension(lx, lx, lx) :: drst
930 integer :: e, i, j, k
931
932 do e = 1, nel
933 do j = 1, lx * lx
934 do i = 1, lx
935 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
936 + dx(i,2) * u(2,j,1,e) &
937 + dx(i,3) * u(3,j,1,e) &
938 + dx(i,4) * u(4,j,1,e)
939 end do
940 end do
941
942 do i = 1, lx * lx * lx
943 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
944 end do
945
946 do k = 1, lx
947 do j = 1, lx
948 do i = 1, lx
949 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
950 + dy(j,2) * u(i,2,k,e) &
951 + dy(j,3) * u(i,3,k,e) &
952 + dy(j,4) * u(i,4,k,e)
953 end do
954 end do
955 end do
956
957 do i = 1, lx * lx * lx
958 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
959 end do
960
961 do k = 1, lx
962 do i = 1, lx*lx
963 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
964 + dz(k,2) * u(i,1,2,e) &
965 + dz(k,3) * u(i,1,3,e) &
966 + dz(k,4) * u(i,1,4,e)
967 end do
968 end do
969
970 do i = 1, lx * lx * lx
971 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
972 end do
973
974 do i = 1, lx * lx * lx
975 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
976 end do
977
978 end do
979
980 end subroutine cpu_dudxyz_lx4
981
982 subroutine cpu_dudxyz_lx3(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
983 integer, parameter :: lx = 3
984 integer, intent(in) :: nel
985 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
986 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
987 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
988 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
989 real(kind=rp), dimension(lx, lx, lx) :: drst
990 integer :: e, i, j, k
991
992 do e = 1, nel
993 do j = 1, lx * lx
994 do i = 1, lx
995 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
996 + dx(i,2) * u(2,j,1,e) &
997 + dx(i,3) * u(3,j,1,e)
998 end do
999 end do
1000
1001 do i = 1, lx * lx * lx
1002 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
1003 end do
1004
1005 do k = 1, lx
1006 do j = 1, lx
1007 do i = 1, lx
1008 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
1009 + dy(j,2) * u(i,2,k,e) &
1010 + dy(j,3) * u(i,3,k,e)
1011 end do
1012 end do
1013 end do
1014
1015 do i = 1, lx * lx * lx
1016 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
1017 end do
1018
1019 do k = 1, lx
1020 do i = 1, lx*lx
1021 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
1022 + dz(k,2) * u(i,1,2,e) &
1023 + dz(k,3) * u(i,1,3,e)
1024 end do
1025 end do
1026
1027 do i = 1, lx * lx * lx
1028 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
1029 end do
1030
1031 do i = 1, lx * lx * lx
1032 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
1033 end do
1034
1035 end do
1036
1037 end subroutine cpu_dudxyz_lx3
1038
1039 subroutine cpu_dudxyz_lx2(du, u, dr, ds, dt, dx, dy, dz, jacinv, nel)
1040 integer, parameter :: lx = 2
1041 integer, intent(in) :: nel
1042 real(kind=rp), dimension(lx, lx, lx, nel), intent(inout) :: du
1043 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: u, dr, ds, dt
1044 real(kind=rp), dimension(lx, lx, lx, nel), intent(in) :: jacinv
1045 real(kind=rp), dimension(lx, lx), intent(in) :: dx, dy, dz
1046 real(kind=rp), dimension(lx, lx, lx) :: drst
1047 integer :: e, i, j, k
1048
1049 do e = 1, nel
1050 do j = 1, lx * lx
1051 do i = 1, lx
1052 du(i,j,1,e) = dx(i,1) * u(1,j,1,e) &
1053 + dx(i,2) * u(2,j,1,e)
1054 end do
1055 end do
1056
1057 do i = 1, lx * lx * lx
1058 du(i,1,1,e) = du(i,1,1,e) * dr(i,1,1,e)
1059 end do
1060
1061 do k = 1, lx
1062 do j = 1, lx
1063 do i = 1, lx
1064 drst(i,j,k) = dy(j,1) * u(i,1,k,e) &
1065 + dy(j,2) * u(i,2,k,e)
1066 end do
1067 end do
1068 end do
1069
1070 do i = 1, lx * lx * lx
1071 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * ds(i,1,1,e)
1072 end do
1073
1074 do k = 1, lx
1075 do i = 1, lx*lx
1076 drst(i,1,k) = dz(k,1) * u(i,1,1,e) &
1077 + dz(k,2) * u(i,1,2,e)
1078 end do
1079 end do
1080
1081 do i = 1, lx * lx * lx
1082 du(i,1,1,e) = du(i,1,1,e) + drst(i,1,1) * dt(i,1,1,e)
1083 end do
1084
1085 do i = 1, lx * lx * lx
1086 du(i,1,1,e) = du(i,1,1,e) * jacinv(i,1,1,e)
1087 end do
1088
1089 end do
1090
1091 end subroutine cpu_dudxyz_lx2
1092
1093end submodule cpu_dudxyz
1094
opr_cpu
Operators CPU backend.
Definition opr_cpu.f90:34