MFC
Exascale flow solver
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m_finite_differences.fpp.f90
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2!>
3!! @file
4!! @brief Contains module m_finite_differences
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223! New line at end of file is required for FYPP
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225
226! GPU parallel region (scalar reductions, maxval/minval)
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228
229! GPU parallel loop over threads (most common GPU macro)
230# 43 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
231
232! Required closing for GPU_PARALLEL_LOOP
233# 55 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
234
235! Mark routine for device compilation
236# 112 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
237
238! Declare device-resident data
239# 130 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
240
241! Inner loop within a GPU parallel region
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244! Scoped GPU data region
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247! Host code with device pointers (for MPI with GPU buffers)
248# 193 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
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250! Allocate device memory (unscoped)
251# 207 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
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253! Free device memory
254# 219 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
255
256! Atomic operation on device
257# 231 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
258
259! End atomic capture block
260# 242 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
261
262! Copy data between host and device
263# 254 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
264
265! Synchronization barrier
266# 266 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
267
268! Import GPU library module (openacc or omp_lib)
269# 275 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
270
271! Emit code only for AMD compiler
272# 282 "/home/runner/work/MFC/MFC/src/common/include/parallel_macros.fpp"
273
274! Emit code for non-Cray compilers
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276
277! Emit code only for Cray compiler
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279
280! Emit code for non-NVIDIA compilers
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289
290! Caution: This macro requires the use of a binding script to set CUDA_VISIBLE_DEVICES, such that we have one GPU device per MPI
291! rank. That's because for both cudaMemAdvise (preferred location) and cudaMemPrefetchAsync we use location = device_id = 0. For an
292! example see misc/nvidia_uvm/bind.sh. NVIDIA unified memory page placement hint
293# 57 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
294
295! Allocate and create GPU device memory
296# 77 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
297
298! Free GPU device memory and deallocate
299# 85 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
300
301! Cray-specific GPU pointer setup for vector fields
302# 109 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
303
304! Cray-specific GPU pointer setup for scalar fields
305# 125 "/home/runner/work/MFC/MFC/src/common/include/macros.fpp"
306
307! Cray-specific GPU pointer setup for acoustic source spatials
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314# 6 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp" 2
315
316!> @brief Finite difference operators for computing divergence of velocity fields
318
320
321 implicit none
322
323contains
324
325 !> Accumulate the finite-difference divergence of a vector field onto a scalar field.
326 subroutine s_compute_fd_divergence(div, fields, ix_s, iy_s, iz_s)
327
328 type(scalar_field), intent(inout) :: div
329 type(scalar_field), intent(in) :: fields(1:3)
330 type(int_bounds_info), intent(in) :: ix_s, iy_s, iz_s
331 integer :: x, y, z !< Generic loop iterators
332 real(wp) :: divergence
333
334
335# 25 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
336
337# 25 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
338#if defined(MFC_OpenACC)
339# 25 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
340!$acc parallel loop collapse(3) gang vector default(present) private(x, y, z, divergence)
341# 25 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
342#elif defined(MFC_OpenMP)
343# 25 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
344
345# 25 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
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348
349# 25 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
350!$omp target teams loop defaultmap(firstprivate:scalar) bind(teams,parallel) collapse(3) defaultmap(tofrom:aggregate) defaultmap(tofrom:allocatable) defaultmap(tofrom:pointer) private(x, y, z, divergence)
351# 25 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
352#endif
353 do x = ix_s%beg, ix_s%end
354 do y = iy_s%beg, iy_s%end
355 do z = iz_s%beg, iz_s%end
356 if (x == ix_s%beg) then
357 divergence = (-3._wp*fields(1)%sf(x, y, z) + 4._wp*fields(1)%sf(x + 1, y, z) - fields(1)%sf(x + 2, y, &
358 & z))/(x_cc(x + 2) - x_cc(x))
359 else if (x == ix_s%end) then
360 divergence = (+3._wp*fields(1)%sf(x, y, z) - 4._wp*fields(1)%sf(x - 1, y, z) + fields(1)%sf(x - 2, y, &
361 & z))/(x_cc(x) - x_cc(x - 2))
362 else
363 divergence = (fields(1)%sf(x + 1, y, z) - fields(1)%sf(x - 1, y, z))/(x_cc(x + 1) - x_cc(x - 1))
364 end if
365
366 if (n > 0) then
367 if (y == iy_s%beg) then
368 divergence = divergence + (-3._wp*fields(2)%sf(x, y, z) + 4._wp*fields(2)%sf(x, y + 1, &
369 & z) - fields(2)%sf(x, y + 2, z))/(y_cc(y + 2) - y_cc(y))
370 else if (y == iy_s%end) then
371 divergence = divergence + (+3._wp*fields(2)%sf(x, y, z) - 4._wp*fields(2)%sf(x, y - 1, &
372 & z) + fields(2)%sf(x, y - 2, z))/(y_cc(y) - y_cc(y - 2))
373 else
374 divergence = divergence + (fields(2)%sf(x, y + 1, z) - fields(2)%sf(x, y - 1, &
375 & z))/(y_cc(y + 1) - y_cc(y - 1))
376 end if
377 end if
378
379 if (p > 0) then
380 if (z == iz_s%beg) then
381 divergence = divergence + (-3._wp*fields(3)%sf(x, y, z) + 4._wp*fields(3)%sf(x, y, &
382 & z + 1) - fields(3)%sf(x, y, z + 2))/(z_cc(z + 2) - z_cc(z))
383 else if (z == iz_s%end) then
384 divergence = divergence + (+3._wp*fields(3)%sf(x, y, z) - 4._wp*fields(3)%sf(x, y, &
385 & z - 1) + fields(3)%sf(x, y, z - 2))/(z_cc(z) - z_cc(z - 2))
386 else
387 divergence = divergence + (fields(3)%sf(x, y, z + 1) - fields(3)%sf(x, y, &
388 & z - 1))/(z_cc(z + 1) - z_cc(z - 1))
389 end if
390 end if
391
392 div%sf(x, y, z) = div%sf(x, y, z) + divergence
393 end do
394 end do
395 end do
396
397# 69 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
398#if defined(MFC_OpenACC)
399# 69 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
400!$acc end parallel loop
401# 69 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
402#elif defined(MFC_OpenMP)
403# 69 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
404
405# 69 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
406!$omp end target teams loop
407# 69 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
408#endif
409
410 end subroutine s_compute_fd_divergence
411
412 !> Compute the centered finite-difference coefficients for first-order spatial derivatives in the s-coordinate direction (x, y,
413 !! or z). Supports up to 4th order accuracy.
414 !! @param fd_coeff_s Finite-diff. coefficients in the s-coordinate direction
415 !! @param fd_number_in Finite-difference number
416 !! @param fd_order_in Finite-difference order of accuracy
417 !! @param offset_s Optional offset bounds in the s-coordinate direction
418 subroutine s_compute_finite_difference_coefficients(q, s_cc, fd_coeff_s, local_buff_size, fd_number_in, fd_order_in, offset_s)
419
420 integer :: lB, lE !< loop bounds
421 integer, intent(in) :: q
422 integer, intent(in) :: local_buff_size, fd_number_in, fd_order_in
423 type(int_bounds_info), optional, intent(in) :: offset_s
424 real(wp), allocatable, dimension(:,:), intent(inout) :: fd_coeff_s
425 real(wp), dimension(-local_buff_size:q + local_buff_size), intent(in) :: s_cc
426 integer :: i !< Generic loop iterator
427
428 if (present(offset_s)) then
429 lb = -offset_s%beg
430 le = q + offset_s%end
431 else
432 lb = 0
433 le = q
434 end if
435
436#ifdef MFC_POST_PROCESS
437 if (allocated(fd_coeff_s)) deallocate (fd_coeff_s)
438 allocate (fd_coeff_s(-fd_number_in:fd_number_in,lb:le))
439#endif
440
441 ! Computing the 1st order finite-difference coefficients
442 if (fd_order_in == 1) then
443 do i = lb, le
444 fd_coeff_s(-1, i) = 0._wp
445 fd_coeff_s(0, i) = -1._wp/(s_cc(i + 1) - s_cc(i))
446 fd_coeff_s(1, i) = -fd_coeff_s(0, i)
447 end do
448
449 ! Computing the 2nd order finite-difference coefficients
450 else if (fd_order_in == 2) then
451 do i = lb, le
452 fd_coeff_s(-1, i) = -1._wp/(s_cc(i + 1) - s_cc(i - 1))
453 fd_coeff_s(0, i) = 0._wp
454 fd_coeff_s(1, i) = -fd_coeff_s(-1, i)
455 end do
456
457 ! Computing the 4th order finite-difference coefficients
458 else
459 do i = lb, le
460 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))
461 fd_coeff_s(-1, i) = -8._wp*fd_coeff_s(-2, i)
462 fd_coeff_s(0, i) = 0._wp
463 fd_coeff_s(1, i) = -fd_coeff_s(-1, i)
464 fd_coeff_s(2, i) = -fd_coeff_s(-2, i)
465 end do
466 end if
467
469
470end module m_finite_differences
Finite difference operators for computing divergence of velocity fields.
subroutine s_compute_fd_divergence(div, fields, ix_s, iy_s, iz_s)
Accumulate the finite-difference divergence of a vector field onto a scalar field.
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...
Global parameters for the post-process: domain geometry, equation of state, and output database setti...
real(wp), dimension(:), allocatable y_cc
real(wp), dimension(:), allocatable x_cc
real(wp), dimension(:), allocatable z_cc