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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268
269! Caution:
270! This macro requires the use of a binding script to set CUDA_VISIBLE_DEVICES, such that we have one GPU device per MPI rank.
271! That's because for both cudaMemAdvise (preferred location) and cudaMemPrefetchAsync we use location = device_id = 0.
272! For an example see misc/nvidia_uvm/bind.sh.
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290
291!> @brief Finite difference operators for computing divergence of velocity fields
292module m_finite_differences
293
294 use m_global_parameters
295
296 implicit none
297
298contains
299
300 subroutine s_compute_fd_divergence(div, fields, ix_s, iy_s, iz_s)
301
302 type(scalar_field), intent(INOUT) :: div
303 type(scalar_field), intent(IN) :: fields(1:3)
304 type(int_bounds_info), intent(IN) :: ix_s, iy_s, iz_s
305
306 integer :: x, y, z !< Generic loop iterators
307
308 real(wp) :: divergence
309
310
311# 26 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
312
313# 26 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
314#if defined(MFC_OpenACC)
315# 26 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
316!$acc parallel loop collapse(3) gang vector default(present) private(x, y, z, divergence)
317# 26 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
318#elif defined(MFC_OpenMP)
319# 26 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
320
321# 26 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
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323# 26 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
324
325# 26 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
326!$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)
327# 26 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
328#endif
329# 26 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
330
331 do x = ix_s%beg, ix_s%end
332 do y = iy_s%beg, iy_s%end
333 do z = iz_s%beg, iz_s%end
334
335 if (x == ix_s%beg) then
336 divergence = (-3._wp*fields(1)%sf(x, y, z) + 4._wp*fields(1)%sf(x + 1, y, z) - fields(1)%sf(x + 2, y, z))/(x_cc(x + 2) - x_cc(x))
337 else if (x == ix_s%end) then
338 divergence = (+3._wp*fields(1)%sf(x, y, z) - 4._wp*fields(1)%sf(x - 1, y, z) + fields(1)%sf(x - 2, y, z))/(x_cc(x) - x_cc(x - 2))
339 else
340 divergence = (fields(1)%sf(x + 1, y, z) - fields(1)%sf(x - 1, y, z))/(x_cc(x + 1) - x_cc(x - 1))
341 end if
342
343 if (n > 0) then
344 if (y == iy_s%beg) then
345 divergence = divergence + (-3._wp*fields(2)%sf(x, y, z) + 4._wp*fields(2)%sf(x, y + 1, z) - fields(2)%sf(x, y + 2, z))/(y_cc(y + 2) - y_cc(y))
346 else if (y == iy_s%end) then
347 divergence = divergence + (+3._wp*fields(2)%sf(x, y, z) - 4._wp*fields(2)%sf(x, y - 1, z) + fields(2)%sf(x, y - 2, z))/(y_cc(y) - y_cc(y - 2))
348 else
349 divergence = divergence + (fields(2)%sf(x, y + 1, z) - fields(2)%sf(x, y - 1, z))/(y_cc(y + 1) - y_cc(y - 1))
350 end if
351 end if
352
353 if (p > 0) then
354 if (z == iz_s%beg) then
355 divergence = divergence + (-3._wp*fields(3)%sf(x, y, z) + 4._wp*fields(3)%sf(x, y, z + 1) - fields(3)%sf(x, y, z + 2))/(z_cc(z + 2) - z_cc(z))
356 else if (z == iz_s%end) then
357 divergence = divergence + (+3._wp*fields(3)%sf(x, y, z) - 4._wp*fields(3)%sf(x, y, z - 1) + fields(2)%sf(x, y, z - 2))/(z_cc(z) - z_cc(z - 2))
358 else
359 divergence = divergence + (fields(3)%sf(x, y, z + 1) - fields(3)%sf(x, y, z - 1))/(z_cc(z + 1) - z_cc(z - 1))
360 end if
361 end if
362
363 div%sf(x, y, z) = div%sf(x, y, z) + divergence
364
365 end do
366 end do
367 end do
368
369# 64 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
370
371# 64 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
372#if defined(MFC_OpenACC)
373# 64 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
374!$acc end parallel loop
375# 64 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
376#elif defined(MFC_OpenMP)
377# 64 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
378
379# 64 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
380
381# 64 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
382!$omp end target teams loop
383# 64 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
384#endif
385# 64 "/home/runner/work/MFC/MFC/src/common/m_finite_differences.fpp"
386
387
388 end subroutine s_compute_fd_divergence
389
390 !> The purpose of this subroutine is to compute the finite-
391 !! difference coefficients for the centered schemes utilized
392 !! in computations of first order spatial derivatives in the
393 !! s-coordinate direction. The s-coordinate direction refers
394 !! to the x-, y- or z-coordinate direction, depending on the
395 !! subroutine's inputs. Note that coefficients of up to 4th
396 !! order accuracy are available.
397 !! @param q Number of cells in the s-coordinate direction
398 !! @param s_cc Locations of the cell-centers in the s-coordinate direction
399 !! @param fd_coeff_s Finite-diff. coefficients in the s-coordinate direction
400 !! @param local_buff_size Size of the local buffer
401 !! @param fd_number_in Finite-difference number
402 !! @param fd_order_in Finite-difference order of accuracy
403 !! @param offset_s Optional offset bounds in the s-coordinate direction
404 subroutine s_compute_finite_difference_coefficients(q, s_cc, fd_coeff_s, local_buff_size, &
405 fd_number_in, fd_order_in, offset_s)
406
407 integer :: lB, lE !< loop bounds
408 integer, intent(IN) :: q
409 integer, intent(IN) :: local_buff_size, fd_number_in, fd_order_in
410 type(int_bounds_info), optional, intent(IN) :: offset_s
411 real(wp), allocatable, dimension(:, :), intent(INOUT) :: fd_coeff_s
412
413 real(wp), &
414 dimension(-local_buff_size:q + local_buff_size), &
415 intent(IN) :: s_cc
416
417 integer :: i !< Generic loop iterator
418
419 if (present(offset_s)) then
420 lb = -offset_s%beg
421 le = q + offset_s%end
422 else
423 lb = 0
424 le = q
425 end if
426
427#ifdef MFC_POST_PROCESS
428 if (allocated(fd_coeff_s)) deallocate (fd_coeff_s)
429 allocate (fd_coeff_s(-fd_number_in:fd_number_in, lb:le))
430#endif
431
432 ! Computing the 1st order finite-difference coefficients
433 if (fd_order_in == 1) then
434 do i = lb, le
435 fd_coeff_s(-1, i) = 0._wp
436 fd_coeff_s(0, i) = -1._wp/(s_cc(i + 1) - s_cc(i))
437 fd_coeff_s(1, i) = -fd_coeff_s(0, i)
438 end do
439
440 ! Computing the 2nd order finite-difference coefficients
441 elseif (fd_order_in == 2) then
442 do i = lb, le
443 fd_coeff_s(-1, i) = -1._wp/(s_cc(i + 1) - s_cc(i - 1))
444 fd_coeff_s(0, i) = 0._wp
445 fd_coeff_s(1, i) = -fd_coeff_s(-1, i)
446 end do
447
448 ! Computing the 4th order finite-difference coefficients
449 else
450 do i = lb, le
451 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))
452 fd_coeff_s(-1, i) = -8._wp*fd_coeff_s(-2, i)
453 fd_coeff_s(0, i) = 0._wp
454 fd_coeff_s(1, i) = -fd_coeff_s(-1, i)
455 fd_coeff_s(2, i) = -fd_coeff_s(-2, i)
456 end do
457
458 end if
459
460 end subroutine s_compute_finite_difference_coefficients
461
462end module m_finite_differences
463
m_finite_differences
Finite difference operators for computing divergence of velocity fields.
Definition m_finite_differences.fpp.f90:292
m_finite_differences::s_compute_fd_divergence
subroutine s_compute_fd_divergence(div, fields, ix_s, iy_s, iz_s)
Definition m_finite_differences.fpp.f90:301
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)
The purpose of this subroutine is to compute the finite- difference coefficients for the centered sch...
Definition m_finite_differences.fpp.f90:406
m_global_parameters
Defines global parameters for the computational domain, simulation algorithm, and initial conditions.
Definition m_global_parameters.fpp.f90:19
m_global_parameters::y_cc
real(wp), dimension(:), allocatable y_cc
Definition m_global_parameters.fpp.f90:65
m_global_parameters::x_cc
real(wp), dimension(:), allocatable x_cc
Definition m_global_parameters.fpp.f90:65
m_global_parameters::z_cc
real(wp), dimension(:), allocatable z_cc
Locations of cell-centers (cc) in x-, y- and z-directions, respectively.
Definition m_global_parameters.fpp.f90:65
m_global_parameters::p
integer p
Definition m_global_parameters.fpp.f90:50
m_global_parameters::n
integer n
Definition m_global_parameters.fpp.f90:49