amun-code/src/boundaries.F90
Grzegorz Kowal 71c57a42f0 BOUNDARIES: Fix compilation with MPI=N in 3D.
Signed-off-by: Grzegorz Kowal <grzegorz@amuncode.org>
2014-08-04 09:39:29 -03:00

8058 lines
215 KiB
Fortran

!!******************************************************************************
!!
!! This file is part of the AMUN source code, a program to perform
!! Newtonian or relativistic magnetohydrodynamical simulations on uniform or
!! adaptive mesh.
!!
!! Copyright (C) 2008-2014 Grzegorz Kowal <grzegorz@amuncode.org>
!!
!! This program is free software: you can redistribute it and/or modify
!! it under the terms of the GNU General Public License as published by
!! the Free Software Foundation, either version 3 of the License, or
!! (at your option) any later version.
!!
!! This program is distributed in the hope that it will be useful,
!! but WITHOUT ANY WARRANTY; without even the implied warranty of
!! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
!! GNU General Public License for more details.
!!
!! You should have received a copy of the GNU General Public License
!! along with this program. If not, see <http://www.gnu.org/licenses/>.
!!
!!******************************************************************************
!!
!! module: BOUNDARIES
!!
!! This module handles the boundary synchronization.
!!
!!******************************************************************************
!
module boundaries
#ifdef PROFILE
! import external subroutines
!
use timers, only : set_timer, start_timer, stop_timer
#endif /* PROFILE */
! module variables are not implicit by default
!
implicit none
#ifdef PROFILE
! timer indices
!
integer , save :: imi, imv, imf, ims, imc, imr, imp
#endif /* PROFILE */
! parameters corresponding to the boundary type
!
integer, parameter :: bnd_periodic = 0
integer, parameter :: bnd_open = 1
integer, parameter :: bnd_reflective = 2
! variable to store boundary type flags
!
integer, dimension(3,2), save :: bnd_type = bnd_periodic
! by default everything is private
!
private
! declare public subroutines
!
public :: initialize_boundaries, finalize_boundaries
public :: boundary_variables, boundary_fluxes
public :: bnd_type, bnd_periodic
!- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
!
contains
!
!===============================================================================
!!
!!*** PUBLIC SUBROUTINES *****************************************************
!!
!===============================================================================
!
!===============================================================================
!
! subroutine INITIALIZE_BOUNDARIES:
! --------------------------------
!
! Subroutine initializes the module BOUNDARIES by setting its parameters.
!
! Arguments:
!
! verbose - flag determining if the subroutine should be verbose;
! iret - return flag of the procedure execution status;
!
!===============================================================================
!
subroutine initialize_boundaries(verbose, iret)
! import external procedures and variables
!
#ifdef MPI
use mpitools , only : pdims, pcoords, periodic
#endif /* MPI */
use parameters , only : get_parameter_string
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
logical, intent(in) :: verbose
integer, intent(inout) :: iret
! module parameters for the boundary update order and boundary type
!
character(len = 32) :: xlbndry = "periodic"
character(len = 32) :: xubndry = "periodic"
character(len = 32) :: ylbndry = "periodic"
character(len = 32) :: yubndry = "periodic"
character(len = 32) :: zlbndry = "periodic"
character(len = 32) :: zubndry = "periodic"
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! set timer descriptions
!
call set_timer('boundaries:: initialization', imi)
call set_timer('boundaries:: variables' , imv)
call set_timer('boundaries:: fluxes' , imf)
call set_timer('boundaries:: specific' , ims)
call set_timer('boundaries:: copy' , imc)
call set_timer('boundaries:: restrict' , imr)
call set_timer('boundaries:: prolong' , imp)
! start accounting time for module initialization/finalization
!
call start_timer(imi)
#endif /* PROFILE */
! get runtime values for the boundary types
!
call get_parameter_string ("xlbndry" , xlbndry)
call get_parameter_string ("xubndry" , xubndry)
call get_parameter_string ("ylbndry" , ylbndry)
call get_parameter_string ("yubndry" , yubndry)
call get_parameter_string ("zlbndry" , zlbndry)
call get_parameter_string ("zubndry" , zubndry)
! fill the boundary type flags
!
select case(xlbndry)
case("open")
bnd_type(1,1) = bnd_open
case("reflective", "reflecting", "reflect")
bnd_type(1,1) = bnd_reflective
case default
bnd_type(1,1) = bnd_periodic
end select
select case(xubndry)
case("open")
bnd_type(1,2) = bnd_open
case("reflective", "reflecting", "reflect")
bnd_type(1,2) = bnd_reflective
case default
bnd_type(1,2) = bnd_periodic
end select
select case(ylbndry)
case("open")
bnd_type(2,1) = bnd_open
case("reflective", "reflecting", "reflect")
bnd_type(2,1) = bnd_reflective
case default
bnd_type(2,1) = bnd_periodic
end select
select case(yubndry)
case("open")
bnd_type(2,2) = bnd_open
case("reflective", "reflecting", "reflect")
bnd_type(2,2) = bnd_reflective
case default
bnd_type(2,2) = bnd_periodic
end select
select case(zlbndry)
case("open")
bnd_type(3,1) = bnd_open
case("reflective", "reflecting", "reflect")
bnd_type(3,1) = bnd_reflective
case default
bnd_type(3,1) = bnd_periodic
end select
select case(zubndry)
case("open")
bnd_type(3,2) = bnd_open
case("reflective", "reflecting", "reflect")
bnd_type(3,2) = bnd_reflective
case default
bnd_type(3,2) = bnd_periodic
end select
! print information about the boundary conditions
!
if (verbose) then
write (*,"(4x,a10,13x,'=',2(1x,a))") "x-boundary" &
, trim(xlbndry), trim(xubndry)
write (*,"(4x,a10,13x,'=',2(1x,a))") "y-boundary" &
, trim(ylbndry), trim(yubndry)
#if NDIMS == 3
write (*,"(4x,a10,13x,'=',2(1x,a))") "z-boundary" &
, trim(zlbndry), trim(zubndry)
#endif /* NDIMS == 3 */
end if
#ifdef PROFILE
! stop accounting time for module initialization/finalization
!
call stop_timer(imi)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine initialize_boundaries
!
!===============================================================================
!
! subroutine FINALIZE_BOUNDARIES:
! ------------------------------
!
! Subroutine releases memory used by the module.
!
! Arguments:
!
! iret - an integer flag for error return value;
!
!===============================================================================
!
subroutine finalize_boundaries(iret)
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer, intent(inout) :: iret
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! start accounting time for module initialization/finalization
!
call start_timer(imi)
#endif /* PROFILE */
#ifdef PROFILE
! stop accounting time for module initialization/finalization
!
call stop_timer(imi)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine finalize_boundaries
!
!===============================================================================
!
! subroutine BOUNDARY_VARIABLES:
! -----------------------------
!
! Subroutine updates the ghost zones of the data blocks from their neighbors
! or applies the specific boundary conditions.
!
!
!===============================================================================
!
subroutine boundary_variables()
! import external procedures and variables
!
use blocks , only : ndims
! local variables are not implicit by default
!
implicit none
! local variables
!
integer :: idir
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! start accounting time for variable boundary update
!
call start_timer(imv)
#endif /* PROFILE */
! update specific boundaries
!
call boundaries_specific()
#if NDIMS == 3
! update face boundaries between blocks at the same levels
!
do idir = 1, ndims
call boundaries_face_copy(idir)
end do ! idir
#endif /* NDIMS == 3 */
! update edge boundaries between blocks at the same levels
!
do idir = 1, ndims
call boundaries_edge_copy(idir)
end do ! idir
! update corner boundaries between blocks at the same levels
!
call boundaries_corner_copy()
#if NDIMS == 3
! restrict face boundaries from higher level blocks
!
do idir = 1, ndims
call boundaries_face_restrict(idir)
end do ! idir
#endif /* NDIMS == 3 */
! restricts edge boundaries from block at higher level
!
do idir = 1, ndims
call boundaries_edge_restrict(idir)
end do ! idir
! restricts corner boundaries from blocks at higher levels
!
call boundaries_corner_restrict()
#if NDIMS == 3
! prolong face boundaries from lower level blocks
!
do idir = 1, ndims
call boundaries_face_prolong(idir)
end do ! idir
#endif /* NDIMS == 3 */
! prolongs edge boundaries from block at lower level
!
do idir = 1, ndims
call boundaries_edge_prolong(idir)
end do ! idir
! prolong corner boundaries from blocks at lower levels
!
call boundaries_corner_prolong()
! update specific boundaries
!
call boundaries_specific()
! convert updated primitive variables to conservative ones in all ghost cells
!
call update_ghost_cells()
#ifdef PROFILE
! stop accounting time for variable boundary update
!
call stop_timer(imv)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine boundary_variables
!
!===============================================================================
!
! subroutine BOUNDARY_FLUXES:
! --------------------------
!
! Subroutine updates the numerical fluxes for blocks which have neighbors
! at higher level. The fluxes of neighbors at higher level are calulated
! with smaller error, therefore they are restricted down and the flux
! of lower level meta block is updated.
!
!
!===============================================================================
!
subroutine boundary_fluxes()
! import external procedures and variables
!
use blocks , only : block_meta, block_data, list_meta
#ifdef MPI
use blocks , only : block_info, pointer_info
#endif /* MPI */
use blocks , only : ndims, nsides
use coordinates , only : minlev, maxlev
use coordinates , only : in, jn, kn
use coordinates , only : ib, ie, ibl
use coordinates , only : jb, je, jbl
use coordinates , only : kb, ke, kbl
use equations , only : nv
#ifdef MPI
use mpitools , only : nprocs, nproc, npmax
use mpitools , only : send_real_array, receive_real_array
#endif /* MPI */
! local variables are not implicit by default
!
implicit none
! local pointers
!
type(block_meta), pointer :: pmeta, pneigh
#ifdef MPI
type(block_info), pointer :: pinfo
#endif /* MPI */
! local variables
!
integer :: n, m
integer :: i, is, it, il, iu, ih
integer :: j, js, jt, jl, ju, jh
integer :: k, ks, kt, kl, ku, kh
#ifdef MPI
integer :: irecv, isend, nblocks, itag, l, iret
#endif /* MPI */
#ifdef MPI
! local pointer arrays
!
type(pointer_info), dimension(0:nprocs-1,0:nprocs-1) :: block_array
#endif /* MPI */
#ifdef MPI
! local arrays
!
integer , dimension(0:nprocs-1,0:nprocs-1) :: block_counter
real(kind=8), dimension(:,:,:,:), allocatable :: rbuf
#endif /* MPI */
!
!-------------------------------------------------------------------------------
!
! do not correct fluxes if we do not use adaptive mesh
!
if (minlev == maxlev) return
! calculate half sizes
!
ih = in / 2
jh = jn / 2
#if NDIMS == 2
kh = kn
kl = 1
ku = kn
#endif /* NDIMS == 2 */
#if NDIMS == 3
kh = kn / 2
#endif /* NDIMS == 3 */
#ifdef PROFILE
! start accounting time for flux boundary update
!
call start_timer(imf)
#endif /* PROFILE */
#ifdef MPI
!! 1. PREPARE THE BLOCK EXCHANGE ARRAYS FOR MPI
!!
! reset the block counter
!
block_counter(:,:) = 0
! nullify pointers to blocks which need to be exchanged between processes
!
do irecv = 0, npmax
do isend = 0, npmax
nullify(block_array(isend,irecv)%ptr)
end do ! isend
end do ! irecv
#endif /* MPI */
!! 2. UPDATE THE FLUX BOUNDARIES BETWEEN LOCAL BLOCKS
!!
! associate pmeta with the first block on the meta list
!
pmeta => list_meta
! scan all meta blocks in the list
!
do while(associated(pmeta))
! check if the meta block is leaf
!
if (pmeta%leaf) then
! iterate over all dimensions
!
do n = 1, ndims
#if NDIMS == 2
m = 3 - n
#endif /* NDIMS == 2 */
! iterate over all corners
!
#if NDIMS == 3
do k = 1, nsides
#endif /* NDIMS == 3 */
do j = 1, nsides
do i = 1, nsides
! associate pneigh with the current neighbor
!
#if NDIMS == 2
pneigh => pmeta%edges(i,j,m)%ptr
#endif /* NDIMS == 2 */
#if NDIMS == 3
pneigh => pmeta%faces(i,j,k,n)%ptr
#endif /* NDIMS == 3 */
! check if the neighbor is associated
!
if (associated(pneigh)) then
! check if the neighbor is at highed level than the current block
!
if (pneigh%level > pmeta%level) then
#ifdef MPI
! check if the current block and its neighbor belong to the same process, if so,
! update fluxes directly
!
if (pmeta%process == nproc .and. &
pneigh%process == nproc) then
#endif /* MPI */
! update directional flux from the neighbor
!
select case(n)
case(1)
! prepare the boundary layer indices depending on the corner position
!
if (i == 1) then
is = ie
it = ibl
else
is = ibl
it = ie
end if
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
#if NDIMS == 3
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
#endif /* NDIMS == 3 */
! update the flux edge from the neighbor at higher level
!
call block_update_flux(i, j, k, n &
, pneigh%data%f(n,1:nv,is,jb:je,kb:ke) &
, pmeta%data%f(n,1:nv,it,jl:ju,kl:ku))
case(2)
! prepare the boundary layer indices depending on the corner position
!
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (j == 1) then
js = je
jt = jbl
else
js = jbl
jt = je
end if
#if NDIMS == 3
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
#endif /* NDIMS == 3 */
! update the flux edge from the neighbor at higher level
!
call block_update_flux(i, j, k, n &
, pneigh%data%f(n,1:nv,ib:ie,js,kb:ke) &
, pmeta%data%f(n,1:nv,il:iu,jt,kl:ku))
#if NDIMS == 3
case(3)
! prepare the boundary layer indices depending on the corner position
!
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
if (k == 1) then
ks = ke
kt = kbl
else
ks = kbl
kt = ke
end if
! update the flux edge from the neighbor at higher level
!
call block_update_flux(i, j, k, n &
, pneigh%data%f(n,1:nv,ib:ie,jb:je,ks) &
, pmeta%data%f(n,1:nv,il:iu,jl:ju,kt))
#endif /* NDIMS == 3 */
end select
#ifdef MPI
! blocks belong to different processes, therefore prepare the block exchange
! object
!
else
! increase the counter for the number of blocks to exchange
!
block_counter(pneigh%process,pmeta%process) = &
block_counter(pneigh%process,pmeta%process) + 1
! allocate a new info object
!
allocate(pinfo)
! fill out its fields
!
pinfo%block => pmeta
pinfo%neigh => pneigh
pinfo%direction = n
pinfo%corner(1) = i
pinfo%corner(2) = j
#if NDIMS == 3
pinfo%corner(3) = k
#endif /* NDIMS == 3 */
pinfo%level_difference = pmeta%level - pneigh%level
! nullify pointer fields
!
nullify(pinfo%prev)
nullify(pinfo%next)
! check if the list is empty
!
if (associated(block_array(pneigh%process &
,pmeta%process)%ptr)) then
! if it is, associate the newly created block with it
!
pinfo%prev => &
block_array(pneigh%process,pmeta%process)%ptr
end if ! %ptr associated
! point the list to the newly created block
!
block_array(pneigh%process,pmeta%process)%ptr => pinfo
end if ! pmeta and pneigh on local process
#endif /* MPI */
end if ! pmeta level < pneigh level
end if ! pneigh associated
end do ! i = 1, nsides
end do ! j = 1, nsides
#if NDIMS == 3
end do ! k = 1, nsides
#endif /* NDIMS == 3 */
end do ! n = 1, ndims
end if ! leaf
! associate pmeta with the next block
!
pmeta => pmeta%next ! assign pointer to the next meta block in the list
end do ! meta blocks
#ifdef MPI
! iterate over sending and receiving processes
!
do irecv = 0, npmax
do isend = 0, npmax
! process only pairs which have anything to exchange
!
if (block_counter(isend,irecv) > 0) then
! obtain the number of blocks to exchange
!
nblocks = block_counter(isend,irecv)
! prepare the tag for communication
!
itag = 100 * (irecv * nprocs + isend) * nprocs
! allocate the buffer for variable exchange
!
allocate(rbuf(nblocks,nv,ih,kh))
! if isend == nproc we are sending data
!
if (isend == nproc) then
! reset the block counter
!
l = 0
! associate pinfo with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan all blocks on the list
!
do while(associated(pinfo))
! increase the block count
!
l = l + 1
! associate pneigh pointer
!
pneigh => pinfo%neigh
! get neighbor direction and corner coordinates
!
n = pinfo%direction
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! update directional flux from the neighbor
!
select case(n)
case(1)
! prepare the boundary layer index depending on the side
!
if (i == 1) then
is = ie
else
is = ibl
end if
! update the flux edge from the neighbor at higher level
!
call block_update_flux(i, j, k, n &
, pneigh%data%f(n,1:nv,is,jb:je,kb:ke) &
, rbuf(l,1:nv,1:jh,1:kh))
case(2)
! prepare the boundary layer index depending on the side
!
if (j == 1) then
js = je
else
js = jbl
end if
! update the flux edge from the neighbor at higher level
!
call block_update_flux(i, j, k, n &
, pneigh%data%f(n,1:nv,ib:ie,js,kb:ke) &
, rbuf(l,1:nv,1:ih,1:kh))
#if NDIMS == 3
case(3)
! prepare the boundary layer index depending on the side
!
if (k == 1) then
ks = ke
else
ks = kbl
end if
! update the flux edge from the neighbor at higher level
!
call block_update_flux(i, j, k, n &
, pneigh%data%f(n,1:nv,ib:ie,jb:je,ks) &
, rbuf(l,1:nv,1:ih,1:jh))
#endif /* NDIMS == 3 */
end select
! associate pinfo with the next block
!
pinfo => pinfo%prev
end do ! %ptr blocks
! send the data buffer to another process
!
call send_real_array(size(rbuf(:,:,:,:)), irecv, itag &
, rbuf(:,:,:,:), iret)
end if ! isend = nproc
! if irecv == nproc we are receiving data
!
if (irecv == nproc) then
! receive the data buffer
!
call receive_real_array(size(rbuf(:,:,:,:)), isend, itag &
, rbuf(:,:,:,:), iret)
! reset the block counter
!
l = 0
! associate pinfo with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan all blocks on the list
!
do while(associated(pinfo))
! increase the block count
!
l = l + 1
! associate pmeta pointer
!
pmeta => pinfo%block
! get neighbor direction and corner indices
!
n = pinfo%direction
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! update directional flux from the neighbor
!
select case(n)
case(1)
! prepare the boundary layer indices depending on the corner position
!
if (i == 1) then
it = ibl
else
it = ie
end if
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
#if NDIMS == 3
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
#endif /* NDIMS == 3 */
! update the flux edge from the neighbor at higher level
!
pmeta%data%f(n,1:nv,it,jl:ju,kl:ku) = rbuf(l,1:nv,1:jh,1:kh)
case(2)
! prepare the boundary layer indices depending on the corner position
!
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (j == 1) then
jt = jbl
else
jt = je
end if
#if NDIMS == 3
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
#endif /* NDIMS == 3 */
! update the flux edge from the neighbor at higher level
!
pmeta%data%f(n,1:nv,il:iu,jt,kl:ku) = rbuf(l,1:nv,1:ih,1:kh)
#if NDIMS == 3
case(3)
! prepare the boundary layer indices depending on the corner position
!
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
if (k == 1) then
kt = kbl
else
kt = ke
end if
! update the flux edge from the neighbor at higher level
!
pmeta%data%f(n,1:nv,il:iu,jl:ju,kt) = rbuf(l,1:nv,1:ih,1:jh)
#endif /* NDIMS == 3 */
end select
! associate pinfo with the next block
!
pinfo => pinfo%prev
end do ! %ptr blocks
end if ! irecv = nproc
! deallocate data buffer
!
deallocate(rbuf)
! associate pinfo with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan all blocks on the exchange list
!
do while(associated(pinfo))
! associate the exchange list pointer
!
block_array(isend,irecv)%ptr => pinfo%prev
! nullify pointer fields
!
nullify(pinfo%prev)
nullify(pinfo%next)
nullify(pinfo%block)
nullify(pinfo%neigh)
! deallocate info block
!
deallocate(pinfo)
! associate pinfo with the next block
!
pinfo => block_array(isend,irecv)%ptr
end do ! %ptr blocks
end if ! if block_count > 0
end do ! isend
end do ! irecv
#endif /* MPI */
#ifdef PROFILE
! stop accounting time for flux boundary update
!
call stop_timer(imf)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine boundary_fluxes
!
!===============================================================================
!!
!!*** PRIVATE SUBROUTINES ****************************************************
!!
!===============================================================================
!
!===============================================================================
!
! DOMAIN SPECIFIC BOUNDARY SUBROUTINES
!
!===============================================================================
!
!===============================================================================
!
! subroutine BOUNDARIES_SPECIFIC:
! ------------------------------
!
! Subroutine scans over all leaf blocks in order to find blocks without
! neighbors, then updates its boundaries for selected type.
!
!
!===============================================================================
!
subroutine boundaries_specific()
! import external procedures and variables
!
use blocks , only : block_meta, list_meta
use blocks , only : ndims, nsides
use coordinates , only : im, jm, km
use equations , only : nv
#ifdef MPI
use mpitools , only : nproc
#endif /* MPI */
use mpitools , only : periodic
! local variables are not implicit by default
!
implicit none
! local pointers
!
type(block_meta), pointer :: pmeta, pneigh
! local variables
!
integer :: i, j, k, n, m
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! start accounting time for specific boundary update
!
call start_timer(ims)
#endif /* PROFILE */
! associate pmeta with the first block on the meta list
!
pmeta => list_meta
! scan all blocks on meta block list
!
do while(associated(pmeta))
! check if the current meta block is a leaf
!
if (pmeta%leaf) then
! process only if this block is marked for update
!
if (pmeta%update) then
#ifdef MPI
! check if the current block belongs to the local process
!
if (pmeta%process == nproc) then
#endif /* MPI */
#if NDIMS == 2
! iterate over all directions
!
do n = 1, ndims
! process boundaries only if they are not periodic in a given direction
!
if (.not. periodic(n)) then
! calculate the edge direction (in 2D we don't have face neighbors, so we have
! to use edge neighbors)
!
m = 3 - n
! iterate over all corners
!
do j = 1, nsides
do i = 1, nsides
! if the face neighbor is not associated, apply specific boundaries
!
if (.not. associated(pmeta%edges(i,j,m)%ptr)) &
call block_boundary_specific(i, j, k, n &
, pmeta%data%q(1:nv,1:im,1:jm,1:km))
end do ! i = 1, sides
end do ! j = 1, sides
end if ! not periodic
end do ! n = 1, ndims
#endif /* NDIMS == 2 */
#if NDIMS == 3
! iterate over all directions
!
do n = 1, ndims
! process boundaries only if they are not periodic in a given direction
!
if (.not. periodic(n)) then
! iterate over all corners
!
do k = 1, nsides
do j = 1, nsides
do i = 1, nsides
! if the face neighbor is not associated, apply specific boundaries
!
if (.not. associated(pmeta%faces(i,j,k,n)%ptr)) &
call block_boundary_specific(i, j, k, n &
, pmeta%data%q(1:nv,1:im,1:jm,1:km))
end do ! i = 1, sides
end do ! j = 1, sides
end do ! k = 1, sides
end if ! not periodic
end do ! n = 1, ndims
#endif /* NDIMS == 3 */
#ifdef MPI
end if ! block belong to the local process
#endif /* MPI */
end if ! pmeta is marked for update
end if ! leaf
! associate pmeta with the next block on the list
!
pmeta => pmeta%next
end do ! meta blocks
#ifdef PROFILE
! stop accounting time for specific boundary update
!
call stop_timer(ims)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine boundaries_specific
#if NDIMS == 3
!
!===============================================================================
!
! DOMAIN FACE BOUNDARY UPDATE SUBROUTINES
!
!===============================================================================
!
!===============================================================================
!
! subroutine BOUNDARIES_FACE_COPY:
! -------------------------------
!
! Subroutine scans over all leaf blocks in order to find face neighbors which
! are the same level, and perform the update of the face boundaries between
! them.
!
! Arguments:
!
! idir - the direction to be processed;
!
!===============================================================================
!
subroutine boundaries_face_copy(idir)
! import external procedures and variables
!
use blocks , only : nsides
use blocks , only : block_meta, block_data
use blocks , only : list_meta
use blocks , only : block_info, pointer_info
use coordinates , only : ng
use coordinates , only : in , jn , kn
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use coordinates , only : ibl, jbl, kbl
use coordinates , only : ieu, jeu, keu
use equations , only : nv
use mpitools , only : nproc, nprocs, npmax
#ifdef MPI
use mpitools , only : send_real_array, receive_real_array
#endif /* MPI */
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer, intent(in) :: idir
! local pointers
!
type(block_meta), pointer :: pmeta, pneigh
#ifdef MPI
type(block_info), pointer :: pinfo
#endif /* MPI */
! local variables
!
integer :: i , j , k
integer :: ih, jh, kh
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: iret
#ifdef MPI
integer :: isend, irecv, nblocks, itag, l
! local pointer arrays
!
type(pointer_info), dimension(0:npmax,0:npmax) :: block_array
! local arrays
!
integer , dimension(0:npmax,0:npmax) :: block_counter
real(kind=8), dimension(:,:,:,:,:) , allocatable :: rbuf
#endif /* MPI */
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! start accounting time for copy boundary update
!
call start_timer(imc)
#endif /* PROFILE */
! calculate half sizes
!
ih = in / 2
jh = jn / 2
kh = kn / 2
#ifdef MPI
!! 1. PREPARE THE BLOCK EXCHANGE ARRAYS FOR MPI
!!
! reset the exchange block counters
!
block_counter(:,:) = 0
! nullify the info pointers
!
do irecv = 0, npmax
do isend = 0, npmax
nullify(block_array(isend,irecv)%ptr)
end do
end do
#endif /* MPI */
!! 2. UPDATE VARIABLE FACE BOUNDARIES BETWEEN BLOCKS BELONGING TO THE SAME
!! PROCESS AND PREPARE THE EXCHANGE BLOCK LIST OF BLOCKS WHICH BELONG TO
!! DIFFERENT PROCESSES
!!
! associate pmeta with the first block on the meta block list
!
pmeta => list_meta
! scan all meta blocks
!
do while(associated(pmeta))
! check if the block is leaf
!
if (pmeta%leaf) then
! scan over all block corners
!
do k = 1, nsides
do j = 1, nsides
do i = 1, nsides
! associate pneigh with the current neighbor
!
pneigh => pmeta%faces(i,j,k,idir)%ptr
! check if the neighbor is associated
!
if (associated(pneigh)) then
! check if the neighbor is at the same level
!
if (pneigh%level == pmeta%level) then
! process only blocks and neighbors which are marked for update
!
if (pmeta%update .and. pneigh%update) then
#ifdef MPI
! check if the block and its neighbor belong to the same process
!
if (pmeta%process == pneigh%process) then
! check if the neighbor belongs to the current process
!
if (pneigh%process == nproc) then
#endif /* MPI */
! prepare region indices for the face boundary update
!
select case(idir)
case(1)
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
case(2)
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
case(3)
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
end select
! extract the corresponding face region from the neighbor and insert it in
! the current data block
!
call block_face_copy(idir, i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku))
#ifdef MPI
end if ! pneigh on the current process
else ! block and neighbor belong to different processes
! increase the counter for number of blocks to exchange
!
block_counter(pneigh%process,pmeta%process) = &
block_counter(pneigh%process,pmeta%process) + 1
! allocate a new info object
!
allocate(pinfo)
! fill out only fields which are used
!
pinfo%block => pmeta
pinfo%neigh => pneigh
pinfo%direction = idir
pinfo%corner(1) = i
pinfo%corner(2) = j
pinfo%corner(3) = k
! nullify pointer fields of the object
!
nullify(pinfo%prev)
nullify(pinfo%next)
! if the list is not empty append the newly created block to it
!
if (associated(block_array(pneigh%process &
,pmeta%process)%ptr)) &
pinfo%prev => block_array(pneigh%process &
,pmeta%process)%ptr
! point the list to the newly created block
!
block_array(pneigh%process,pmeta%process)%ptr => pinfo
end if ! block and neighbor belong to different processes
#endif /* MPI */
end if ! pmeta and pneigh marked for update
end if ! neighbor at the same level
end if ! neighbor associated
end do ! i = 1, nsides
end do ! j = 1, nsides
end do ! k = 1, nsides
end if ! leaf
! associate pmeta with the next meta block
!
pmeta => pmeta%next
end do ! meta blocks
#ifdef MPI
!! 3. UPDATE VARIABLE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT PROCESSES
!!
! iterate over sending and receiving processors
!
do irecv = 0, npmax
do isend = 0, npmax
! process only pairs which have anything to exchange
!
if (block_counter(isend,irecv) > 0) then
! obtain the number of blocks to exchange
!
nblocks = block_counter(isend,irecv)
! prepare the tag for communication
!
itag = 100 * (irecv * nprocs + isend + 1) + 11
! allocate data buffer for variables to exchange
!
select case(idir)
case(1)
allocate(rbuf(nblocks,nv,ng,jh,kh))
case(2)
allocate(rbuf(nblocks,nv,ih,ng,kh))
case(3)
allocate(rbuf(nblocks,nv,ih,jh,ng))
end select
! if isend == nproc we are sending data
!
if (isend == nproc) then
! reset the block counter
!
l = 0
! associate pinfo with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the block exchange list
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! associate pneigh with pinfo%neigh
!
pneigh => pinfo%neigh
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
k = pinfo%corner(3)
! extract the corresponding face region from the neighbor and insert it
! to the buffer
!
select case(idir)
case(1)
call block_face_copy(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:jh,1:kh))
case(2)
call block_face_copy(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ih,1:ng,1:kh))
case(3)
call block_face_copy(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ih,1:jh,1:ng))
end select
! associate pinfo with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
! send the data buffer to another process
!
call send_real_array(size(rbuf), irecv, itag, rbuf(:,:,:,:,:), iret)
end if ! isend = nproc
! if irecv == nproc we are receiving data
!
if (irecv == nproc) then
! receive the data buffer
!
call receive_real_array(size(rbuf(:,:,:,:,:)), isend, itag &
, rbuf(:,:,:,:,:), iret)
! reset the block counter
!
l = 0
! associate pinfo with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! iterate over all received blocks and update boundaries of the corresponding
! data blocks
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! associate pmeta with pinfo%block
!
pmeta => pinfo%block
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
k = pinfo%corner(3)
! update the corresponding face region of the current block
!
select case(idir)
case(1)
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ng,1:jh,1:kh)
case(2)
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ih,1:ng,1:kh)
case(3)
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ih,1:jh,1:ng)
end select
! associate pinfo with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
end if ! irecv = nproc
! deallocate data buffer
!
if (allocated(rbuf)) deallocate(rbuf)
! associate pinfo with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the exchange block list
!
do while(associated(pinfo))
! associate the exchange list pointer with the previous block on the list
!
block_array(isend,irecv)%ptr => pinfo%prev
! nullify the current pointer fields
!
nullify(pinfo%prev)
nullify(pinfo%next)
nullify(pinfo%block)
nullify(pinfo%neigh)
! deallocate the object
!
deallocate(pinfo)
! associate pinfo with the next block
!
pinfo => block_array(isend,irecv)%ptr
end do ! %ptr block list
end if ! if block_count > 0
end do ! isend
end do ! irecv
#endif /* MPI */
#ifdef PROFILE
! stop accounting time for copy boundary update
!
call stop_timer(imc)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine boundaries_face_copy
!
!===============================================================================
!
! subroutine BOUNDARIES_FACE_RESTRICT:
! -----------------------------------
!
! Subroutine scans over all leaf blocks in order to find face neighbors which
! are on different levels, and perform the update of face boundaries of
! lower blocks by restricting them from higher level neighbors.
!
! Arguments:
!
! idir - the direction to be processed;
!
!===============================================================================
!
subroutine boundaries_face_restrict(idir)
! import external procedures and variables
!
use blocks , only : nsides
use blocks , only : block_meta, block_data
use blocks , only : list_meta
use blocks , only : block_info, pointer_info
use coordinates , only : ng
use coordinates , only : in , jn , kn
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use coordinates , only : ibl, jbl, kbl
use coordinates , only : ieu, jeu, keu
use equations , only : nv
use mpitools , only : nproc, nprocs, npmax
#ifdef MPI
use mpitools , only : send_real_array, receive_real_array
#endif /* MPI */
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer, intent(in) :: idir
! local pointers
!
type(block_meta), pointer :: pmeta, pneigh
#ifdef MPI
type(block_info), pointer :: pinfo
#endif /* MPI */
! local variables
!
integer :: i , j , k
integer :: ih, jh, kh
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: iret
#ifdef MPI
integer :: isend, irecv, nblocks, itag, l
! local pointer arrays
!
type(pointer_info), dimension(0:npmax,0:npmax) :: block_array
! local arrays
!
integer , dimension(0:npmax,0:npmax) :: block_counter
real(kind=8), dimension(:,:,:,:,:) , allocatable :: rbuf
#endif /* MPI */
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! start accounting time for restrict boundary update
!
call start_timer(imr)
#endif /* PROFILE */
! calculate half sizes
!
ih = in / 2
jh = jn / 2
kh = kn / 2
#ifdef MPI
!! 1. PREPARE THE BLOCK EXCHANGE ARRAYS FOR MPI
!!
! reset the exchange block counters
!
block_counter(:,:) = 0
! nullify the info pointers
!
do irecv = 0, npmax
do isend = 0, npmax
nullify(block_array(isend,irecv)%ptr)
end do
end do
#endif /* MPI */
!! 2. UPDATE VARIABLE FACE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT
!! PROCESS AND PREPARE THE EXCHANGE BLOCK LIST OF BLOCKS WHICH BELONG TO
!! DIFFERENT PROCESSES
!!
! associate pmeta with the first block on the meta block list
!
pmeta => list_meta
! scan all meta blocks
!
do while(associated(pmeta))
! check if the block is leaf
!
if (pmeta%leaf) then
! scan over all block corners
!
do k = 1, nsides
do j = 1, nsides
do i = 1, nsides
! associate pneigh with the current neighbor
!
pneigh => pmeta%faces(i,j,k,idir)%ptr
! check if the neighbor is associated
!
if (associated(pneigh)) then
! check if the neighbor is at higher level
!
if (pneigh%level > pmeta%level) then
! process only blocks and neighbors which are marked for update
!
if (pmeta%update .and. pneigh%update) then
#ifdef MPI
! check if the block and its neighbor belong to the same process
!
if (pmeta%process == pneigh%process) then
! check if the neighbor belongs to the current process
!
if (pmeta%process == nproc) then
#endif /* MPI */
! prepare the region indices for face boundary update
!
select case(idir)
case(1)
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
case(2)
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
case(3)
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
end select
! extract the corresponding face region from the neighbor and insert it in
! the current data block
!
call block_face_restrict(idir, i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku))
#ifdef MPI
end if ! pneigh on the current process
else ! block and neighbor belong to different processes
! increase the counter for number of blocks to exchange
!
block_counter(pneigh%process,pmeta%process) = &
block_counter(pneigh%process,pmeta%process) + 1
! allocate a new info object
!
allocate(pinfo)
! fill out only fields which are used
!
pinfo%block => pmeta
pinfo%neigh => pneigh
pinfo%direction = idir
pinfo%corner(1) = i
pinfo%corner(2) = j
pinfo%corner(3) = k
! nullify pointer fields of the object
!
nullify(pinfo%prev)
nullify(pinfo%next)
! if the list is not empty append the newly created block to it
!
if (associated(block_array(pneigh%process &
,pmeta%process)%ptr)) &
pinfo%prev => block_array(pneigh%process &
,pmeta%process)%ptr
! point the list to the newly created block
!
block_array(pneigh%process,pmeta%process)%ptr => pinfo
end if ! block and neighbor belong to different processes
#endif /* MPI */
end if ! pmeta and pneigh marked for update
end if ! neighbor at the same level
end if ! neighbor associated
end do ! i = 1, nsides
end do ! j = 1, nsides
end do ! k = 1, nsides
end if ! leaf
! associate pmeta with the next meta block
!
pmeta => pmeta%next
end do ! meta blocks
#ifdef MPI
!! 3. UPDATE VARIABLE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT PROCESSES
!!
! iterate over sending and receiving processors
!
do irecv = 0, npmax
do isend = 0, npmax
! process only pairs which have something to exchange
!
if (block_counter(isend,irecv) > 0) then
! obtain the number of blocks to exchange
!
nblocks = block_counter(isend,irecv)
! prepare the tag for communication
!
itag = 100 * (irecv * nprocs + isend + 1) + 12
! allocate data buffer for variables to exchange
!
select case(idir)
case(1)
allocate(rbuf(nblocks,nv,ng,jh,kh))
case(2)
allocate(rbuf(nblocks,nv,ih,ng,kh))
case(3)
allocate(rbuf(nblocks,nv,ih,jh,ng))
end select
! if isend == nproc we are sending data
!
if (isend == nproc) then
! reset the block counter
!
l = 0
! associate pinfo with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the block exchange list
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! associate pneigh with pinfo%neigh
!
pneigh => pinfo%neigh
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
k = pinfo%corner(3)
! extract the corresponding face region from the neighbor and insert it
! to the buffer
!
select case(idir)
case(1)
call block_face_restrict(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:jh,1:kh))
case(2)
call block_face_restrict(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ih,1:ng,1:kh))
case(3)
call block_face_restrict(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ih,1:jh,1:ng))
end select
! associate pinfo with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
! send the data buffer to another process
!
call send_real_array(size(rbuf), irecv, itag, rbuf(:,:,:,:,:), iret)
end if ! isend = nproc
! if irecv == nproc we are receiving data
!
if (irecv == nproc) then
! receive the data buffer
!
call receive_real_array(size(rbuf(:,:,:,:,:)), isend, itag &
, rbuf(:,:,:,:,:), iret)
! reset the block counter
!
l = 0
! associate pinfo with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! iterate over all received blocks and update boundaries of the corresponding
! data blocks
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! associate pmeta with pinfo%block
!
pmeta => pinfo%block
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
k = pinfo%corner(3)
! update the corresponding face region of the current block
!
select case(idir)
case(1)
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ng,1:jh,1:kh)
case(2)
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ih,1:ng,1:kh)
case(3)
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ih,1:jh,1:ng)
end select
! associate pinfo with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
end if ! irecv = nproc
! deallocate data buffer
!
if (allocated(rbuf)) deallocate(rbuf)
! associate pinfo with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the exchange block list
!
do while(associated(pinfo))
! associate the exchange list pointer with the previous block
!
block_array(isend,irecv)%ptr => pinfo%prev
! nullify the pointer fields
!
nullify(pinfo%prev)
nullify(pinfo%next)
nullify(pinfo%block)
nullify(pinfo%neigh)
! deallocate the object
!
deallocate(pinfo)
! associate pinfo with the next block
!
pinfo => block_array(isend,irecv)%ptr
end do ! %ptr block list
end if ! if block_count > 0
end do ! isend
end do ! irecv
#endif /* MPI */
#ifdef PROFILE
! stop accounting time for restrict boundary update
!
call stop_timer(imr)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine boundaries_face_restrict
!
!===============================================================================
!
! subroutine BOUNDARIES_FACE_PROLONG:
! ----------------------------------
!
! Subroutine scans over all leaf blocks in order to find face neighbors which
! are on different levels, and perform the update of face boundaries of
! higher blocks by prolongating them from lower level neighbors.
!
! Arguments:
!
! idir - the direction to be processed;
!
!===============================================================================
!
subroutine boundaries_face_prolong(idir)
! import external procedures and variables
!
use blocks , only : nsides
use blocks , only : block_meta, block_data
use blocks , only : list_meta
use blocks , only : block_info, pointer_info
use coordinates , only : ng
use coordinates , only : in , jn , kn
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use coordinates , only : ibl, jbl, kbl
use coordinates , only : ieu, jeu, keu
use equations , only : nv
use mpitools , only : nproc, nprocs, npmax
#ifdef MPI
use mpitools , only : send_real_array, receive_real_array
#endif /* MPI */
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer, intent(in) :: idir
! local pointers
!
type(block_meta), pointer :: pmeta, pneigh
#ifdef MPI
type(block_info), pointer :: pinfo
#endif /* MPI */
! local variables
!
integer :: i , j , k
integer :: ic, jc, kc
integer :: ih, jh, kh
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: iret
#ifdef MPI
integer :: isend, irecv, nblocks, itag, l
! local pointer arrays
!
type(pointer_info), dimension(0:npmax,0:npmax) :: block_array
! local arrays
!
integer , dimension(0:npmax,0:npmax) :: block_counter
real(kind=8), dimension(:,:,:,:,:) , allocatable :: rbuf
#endif /* MPI */
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! start accounting time for prolong boundary update
!
call start_timer(imp)
#endif /* PROFILE */
! calculate the sizes
!
ih = in + ng
jh = jn + ng
kh = kn + ng
#ifdef MPI
!! 1. PREPARE THE BLOCK EXCHANGE ARRAYS FOR MPI
!!
! reset the exchange block counters
!
block_counter(:,:) = 0
! nullify the info pointers
!
do irecv = 0, npmax
do isend = 0, npmax
nullify(block_array(isend,irecv)%ptr)
end do
end do
#endif /* MPI */
!! 2. UPDATE VARIABLE FACE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT
!! PROCESS AND PREPARE THE EXCHANGE BLOCK LIST OF BLOCKS WHICH BELONG TO
!! DIFFERENT PROCESSES
!!
! associate pmeta with the first block on the meta block list
!
pmeta => list_meta
! scan all meta blocks
!
do while(associated(pmeta))
! check if the block is leaf
!
if (pmeta%leaf) then
! scan over all block corners
!
do k = 1, nsides
kc = k
do j = 1, nsides
jc = j
do i = 1, nsides
ic = i
! associate pneigh with the current neighbor
!
pneigh => pmeta%faces(i,j,k,idir)%ptr
! check if the neighbor is associated
!
if (associated(pneigh)) then
! check if the neighbor lays at lower level
!
if (pneigh%level < pmeta%level) then
! process only blocks and neighbors which are marked for update
!
if (pmeta%update .and. pneigh%update) then
#ifdef MPI
! check if the block and its neighbor belong to the same process
!
if (pmeta%process == pneigh%process) then
! check if the neighbor belongs to the current process
!
if (pmeta%process == nproc) then
#endif /* MPI */
! extract the corresponding face region from the neighbor and insert it in
! the current data block
!
select case(idir)
case(1)
jc = pmeta%pos(2)
kc = pmeta%pos(3)
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (jc == 0) then
jl = jb
ju = jm
else
jl = 1
ju = je
end if
if (kc == 0) then
kl = kb
ku = km
else
kl = 1
ku = ke
end if
case(2)
ic = pmeta%pos(1)
kc = pmeta%pos(3)
if (ic == 0) then
il = ib
iu = im
else
il = 1
iu = ie
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
if (kc == 0) then
kl = kb
ku = km
else
kl = 1
ku = ke
end if
case(3)
ic = pmeta%pos(1)
jc = pmeta%pos(2)
if (ic == 0) then
il = ib
iu = im
else
il = 1
iu = ie
end if
if (jc == 0) then
jl = jb
ju = jm
else
jl = 1
ju = je
end if
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
end select
! extract the corresponding face region from the neighbor and insert it in
! the current data block
!
call block_face_prolong(idir, ic, jc, kc &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku))
#ifdef MPI
end if ! pneigh on the current process
else ! block and neighbor belong to different processes
! increase the counter for number of blocks to exchange
!
block_counter(pneigh%process,pmeta%process) = &
block_counter(pneigh%process,pmeta%process) + 1
! allocate a new info object
!
allocate(pinfo)
! fill out only fields which are used
!
pinfo%block => pmeta
pinfo%neigh => pneigh
pinfo%direction = idir
pinfo%corner(1) = i
pinfo%corner(2) = j
pinfo%corner(3) = k
! nullify pointer fields of the object
!
nullify(pinfo%prev)
nullify(pinfo%next)
! if the list is not empty append the newly created block to it
!
if (associated(block_array(pneigh%process &
,pmeta%process)%ptr)) &
pinfo%prev => block_array(pneigh%process &
,pmeta%process)%ptr
! point the list to the newly created block
!
block_array(pneigh%process,pmeta%process)%ptr => pinfo
end if ! block and neighbor belong to different processes
#endif /* MPI */
end if ! pmeta and pneigh marked for update
end if ! neighbor at lower level
end if ! neighbor associated
end do ! i = 1, nsides
end do ! j = 1, nsides
end do ! k = 1, nsides
end if ! leaf
! associate pmeta with the next meta block
!
pmeta => pmeta%next
end do ! meta blocks
#ifdef MPI
!! 3. UPDATE VARIABLE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT PROCESSES
!!
! iterate over sending and receiving processors
!
do irecv = 0, npmax
do isend = 0, npmax
! process only pairs which have something to exchange
!
if (block_counter(isend,irecv) > 0) then
! obtain the number of blocks to exchange
!
nblocks = block_counter(isend,irecv)
! prepare the tag for communication
!
itag = 100 * (irecv * nprocs + isend + 1) + 13
! allocate data buffer for variables to exchange
!
select case(idir)
case(1)
allocate(rbuf(nblocks,nv,ng,jh,kh))
case(2)
allocate(rbuf(nblocks,nv,ih,ng,kh))
case(3)
allocate(rbuf(nblocks,nv,ih,jh,ng))
end select
! if isend == nproc we are sending data
!
if (isend == nproc) then
! reset the block counter
!
l = 0
! associate pinfo with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the block exchange list
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! prepare pointer for updated meta block and its neighbor
!
pmeta => pinfo%block
pneigh => pinfo%neigh
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
k = pinfo%corner(3)
! extract the corresponding face region from the neighbor and insert it
! to the buffer
!
select case(idir)
case(1)
j = pmeta%pos(2)
k = pmeta%pos(3)
call block_face_prolong(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:jh,1:kh))
case(2)
i = pmeta%pos(1)
k = pmeta%pos(3)
call block_face_prolong(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ih,1:ng,1:kh))
case(3)
i = pmeta%pos(1)
j = pmeta%pos(2)
call block_face_prolong(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ih,1:jh,1:ng))
end select
! associate pinfo with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
! send the data buffer to another process
!
call send_real_array(size(rbuf), irecv, itag, rbuf(:,:,:,:,:), iret)
end if ! isend = nproc
! if irecv == nproc we are receiving data
!
if (irecv == nproc) then
! receive the data buffer
!
call receive_real_array(size(rbuf(:,:,:,:,:)), isend, itag &
, rbuf(:,:,:,:,:), iret)
! reset the block counter
!
l = 0
! associate pinfo with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! iterate over all received blocks and update boundaries of the corresponding
! data blocks
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! prepare the pointer to updated block
!
pmeta => pinfo%block
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
k = pinfo%corner(3)
! update the corresponding face region of the current block
!
select case(idir)
case(1)
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (pmeta%pos(2) == 0) then
jl = jb
ju = jm
else
jl = 1
ju = je
end if
if (pmeta%pos(3) == 0) then
kl = kb
ku = km
else
kl = 1
ku = ke
end if
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ng,1:jh,1:kh)
case(2)
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
if (pmeta%pos(1) == 0) then
il = ib
iu = im
else
il = 1
iu = ie
end if
if (pmeta%pos(3) == 0) then
kl = kb
ku = km
else
kl = 1
ku = ke
end if
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ih,1:ng,1:kh)
case(3)
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
if (pmeta%pos(1) == 0) then
il = ib
iu = im
else
il = 1
iu = ie
end if
if (pmeta%pos(2) == 0) then
jl = jb
ju = jm
else
jl = 1
ju = je
end if
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ih,1:jh,1:ng)
end select
! associate pinfo with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
end if ! irecv = nproc
! deallocate data buffer
!
if (allocated(rbuf)) deallocate(rbuf)
! associate pinfo with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the exchange block list
!
do while(associated(pinfo))
! associate the exchange list pointer
!
block_array(isend,irecv)%ptr => pinfo%prev
! nullify the pointer fields
!
nullify(pinfo%prev)
nullify(pinfo%next)
nullify(pinfo%block)
nullify(pinfo%neigh)
! deallocate the object
!
deallocate(pinfo)
! associate pinfo with the next block
!
pinfo => block_array(isend,irecv)%ptr
end do ! %ptr block list
end if ! if block_count > 0
end do ! isend
end do ! irecv
#endif /* MPI */
#ifdef PROFILE
! stop accounting time for prolong boundary update
!
call stop_timer(imp)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine boundaries_face_prolong
#endif /* NDIMS == 3 */
!
!===============================================================================
!
! DOMAIN EDGE BOUNDARY UPDATE SUBROUTINES
!
!===============================================================================
!
!===============================================================================
!
! subroutine BOUNDARIES_EDGE_COPY:
! -------------------------------
!
! Subroutine scans over all leaf blocks in order to find edge neighbors which
! are the same level, and perform the update of the edge boundaries between
! them.
!
! Arguments:
!
! idir - the direction to be processed;
!
!===============================================================================
!
subroutine boundaries_edge_copy(idir)
! import external procedures and variables
!
use blocks , only : nsides
use blocks , only : block_meta, block_data
use blocks , only : list_meta
use blocks , only : block_info, pointer_info
use coordinates , only : ng
use coordinates , only : in , jn , kn
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use coordinates , only : ibl, jbl, kbl
use coordinates , only : ieu, jeu, keu
use equations , only : nv
use mpitools , only : nproc, nprocs, npmax
#ifdef MPI
use mpitools , only : send_real_array, receive_real_array
#endif /* MPI */
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer, intent(in) :: idir
! local pointers
!
type(block_meta), pointer :: pmeta, pneigh
#ifdef MPI
type(block_info), pointer :: pinfo
#endif /* MPI */
! local variables
!
integer :: i , j , k
integer :: ih, jh, kh
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: iret
#ifdef MPI
integer :: isend, irecv, nblocks, itag, l
! local pointer arrays
!
type(pointer_info), dimension(0:npmax,0:npmax) :: block_array
! local arrays
!
integer , dimension(0:npmax,0:npmax) :: block_counter
real(kind=8), dimension(:,:,:,:,:) , allocatable :: rbuf
#endif /* MPI */
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! start accounting time for copy boundary update
!
call start_timer(imc)
#endif /* PROFILE */
! calculate half sizes
!
ih = in / 2
jh = jn / 2
#if NDIMS == 3
kh = kn / 2
#endif /* NDIMS == 3 */
#ifdef MPI
!! 1. PREPARE THE BLOCK EXCHANGE ARRAYS FOR MPI
!!
! reset the exchange block counters
!
block_counter(:,:) = 0
! nullify the info pointers
!
do irecv = 0, npmax
do isend = 0, npmax
nullify(block_array(isend,irecv)%ptr)
end do
end do
#endif /* MPI */
!! 2. UPDATE VARIABLE EDGE BOUNDARIES BETWEEN BLOCKS BELONGING TO THE SAME
!! PROCESS AND PREPARE THE EXCHANGE BLOCK LIST OF BLOCKS WHICH BELONG TO
!! DIFFERENT PROCESSES
!!
! associate pmeta with the first block on the meta block list
!
pmeta => list_meta
! scan all meta blocks
!
do while(associated(pmeta))
! check if the block is leaf
!
if (pmeta%leaf) then
! scan over all block corners
!
#if NDIMS == 3
do k = 1, nsides
#endif /* NDIMS == 3 */
do j = 1, nsides
do i = 1, nsides
! associate pneigh with the current neighbor
!
#if NDIMS == 2
pneigh => pmeta%edges(i,j,idir)%ptr
#endif /* NDIMS == 2 */
#if NDIMS == 3
pneigh => pmeta%edges(i,j,k,idir)%ptr
#endif /* NDIMS == 3 */
! check if the neighbor is associated
!
if (associated(pneigh)) then
! check if the neighbor is at the same level
!
if (pneigh%level == pmeta%level) then
! process only blocks and neighbors which are marked for update
!
if (pmeta%update .and. pneigh%update) then
#ifdef MPI
! check if the block and its neighbor belong to the same process
!
if (pmeta%process == pneigh%process) then
! check if the neighbor belongs to the current process
!
if (pmeta%process == nproc) then
#endif /* MPI */
! prepare the region indices for edge boundary update
!
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
#if NDIMS == 3
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
#endif /* NDIMS == 3 */
! extract the corresponding edge region from the neighbor and insert it in
! the current data block
!
select case(idir)
case(1)
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
case(2)
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
#if NDIMS == 3
case(3)
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
#endif /* NDIMS == 3 */
end select
#if NDIMS == 2
call block_edge_copy(idir, i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju, 1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_edge_copy(idir, i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku))
#endif /* NDIMS == 3 */
#ifdef MPI
end if ! pneigh on the current process
else ! block and neighbor belong to different processes
! increase the counter for number of blocks to exchange
!
block_counter(pneigh%process,pmeta%process) = &
block_counter(pneigh%process,pmeta%process) + 1
! allocate a new info object
!
allocate(pinfo)
! fill out only fields which are used
!
pinfo%block => pmeta
pinfo%neigh => pneigh
pinfo%direction = idir
pinfo%corner(1) = i
pinfo%corner(2) = j
#if NDIMS == 3
pinfo%corner(3) = k
#endif /* NDIMS == 3 */
! nullify pointer fields of the object
!
nullify(pinfo%prev)
nullify(pinfo%next)
! if the list is not empty append the newly created block to it
!
if (associated(block_array(pneigh%process &
,pmeta%process)%ptr)) &
pinfo%prev => block_array(pneigh%process &
,pmeta%process)%ptr
! point the list to the newly created block
!
block_array(pneigh%process,pmeta%process)%ptr => pinfo
end if ! block and neighbor belong to different processes
#endif /* MPI */
end if ! pmeta and pneigh marked for update
end if ! neighbor at the same level
end if ! neighbor associated
end do ! i = 1, nsides
end do ! j = 1, nsides
#if NDIMS == 3
end do ! k = 1, nsides
#endif /* NDIMS == 3 */
end if ! leaf
! associate the pointer to the next meta block
!
pmeta => pmeta%next
end do ! meta blocks
#ifdef MPI
!! 3. UPDATE VARIABLE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT PROCESSES
!!
! iterate over sending and receiving processors
!
do irecv = 0, npmax
do isend = 0, npmax
! process only pairs which have something to exchange
!
if (block_counter(isend,irecv) > 0) then
! obtain the number of blocks to exchange
!
nblocks = block_counter(isend,irecv)
! prepare the tag for communication
!
itag = 100 * (irecv * nprocs + isend + 1) + 21
! allocate data buffer for variables to exchange
!
select case(idir)
#if NDIMS == 2
case(1)
allocate(rbuf(nblocks,nv,ih,ng,km))
case(2)
allocate(rbuf(nblocks,nv,ng,jh,km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
case(1)
allocate(rbuf(nblocks,nv,ih,ng,ng))
case(2)
allocate(rbuf(nblocks,nv,ng,jh,ng))
case(3)
allocate(rbuf(nblocks,nv,ng,ng,kh))
#endif /* NDIMS == 3 */
end select
! if isend == nproc we are sending data from the neighbor block
!
if (isend == nproc) then
! reset the block counter
!
l = 0
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the block exchange list
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! assign pneigh to the associated neighbor block
!
pneigh => pinfo%neigh
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! extract the corresponding edge region from the neighbor and insert it
! to the buffer
!
select case(idir)
case(1)
#if NDIMS == 2
call block_edge_copy(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ih,1:ng,1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_edge_copy(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ih,1:ng,1:ng))
#endif /* NDIMS == 3 */
case(2)
#if NDIMS == 2
call block_edge_copy(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:jh,1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_edge_copy(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:jh,1:ng))
#endif /* NDIMS == 3 */
#if NDIMS == 3
case(3)
call block_edge_copy(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:ng,1:kh))
#endif /* NDIMS == 3 */
end select
! associate the pointer with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
! send the data buffer to another process
!
call send_real_array(size(rbuf), irecv, itag, rbuf(:,:,:,:,:), iret)
end if ! isend = nproc
! if irecv == nproc we are receiving data from the neighbor block
!
if (irecv == nproc) then
! receive the data buffer
!
call receive_real_array(size(rbuf(:,:,:,:,:)), isend, itag &
, rbuf(:,:,:,:,:), iret)
! reset the block counter
!
l = 0
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! iterate over all received blocks and update boundaries of the corresponding
! data blocks
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! assign a pointer to the associated data block
!
pmeta => pinfo%block
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! calculate the insertion indices
!
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
#if NDIMS == 3
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
#endif /* NDIMS == 3 */
! update the corresponding corner region of the current block
!
select case(idir)
case(1)
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
#if NDIMS == 2
pmeta%data%q(1:nv,il:iu,jl:ju, 1:km) = &
rbuf(l,1:nv,1:ih,1:ng,1:km)
#endif /* NDIMS == 2 */
#if NDIMS == 3
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ih,1:ng,1:ng)
#endif /* NDIMS == 3 */
case(2)
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
#if NDIMS == 2
pmeta%data%q(1:nv,il:iu,jl:ju, 1:km) = &
rbuf(l,1:nv,1:ng,1:jh,1:km)
#endif /* NDIMS == 2 */
#if NDIMS == 3
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ng,1:jh,1:ng)
#endif /* NDIMS == 3 */
#if NDIMS == 3
case(3)
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ng,1:ng,1:kh)
#endif /* NDIMS == 3 */
end select
! associate the pointer with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
end if ! irecv = nproc
! deallocate data buffer
!
if (allocated(rbuf)) deallocate(rbuf)
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the exchange block list
!
do while(associated(pinfo))
! associate the exchange list pointer
!
block_array(isend,irecv)%ptr => pinfo%prev
! nullify the pointer fields
!
nullify(pinfo%prev)
nullify(pinfo%next)
nullify(pinfo%block)
nullify(pinfo%neigh)
! deallocate the object
!
deallocate(pinfo)
! associate the pointer with the next block
!
pinfo => block_array(isend,irecv)%ptr
end do ! %ptr block list
end if ! if block_count > 0
end do ! isend
end do ! irecv
#endif /* MPI */
#ifdef PROFILE
! stop accounting time for copy boundary update
!
call stop_timer(imc)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine boundaries_edge_copy
!
!===============================================================================
!
! subroutine BOUNDARIES_EDGE_RESTRICT:
! -----------------------------------
!
! Subroutine scans over all leaf blocks in order to find edge neighbors which
! are on different levels, and perform the update of edge boundaries of
! lower blocks by restricting them from higher level neighbors.
!
! Arguments:
!
! idir - the direction to be processed;
!
!===============================================================================
!
subroutine boundaries_edge_restrict(idir)
! import external procedures and variables
!
use blocks , only : nsides
use blocks , only : block_meta, block_data
use blocks , only : list_meta
use blocks , only : block_info, pointer_info
use coordinates , only : ng
use coordinates , only : in , jn , kn
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use coordinates , only : ibl, jbl, kbl
use coordinates , only : ieu, jeu, keu
use equations , only : nv
use mpitools , only : nproc, nprocs, npmax
#ifdef MPI
use mpitools , only : send_real_array, receive_real_array
#endif /* MPI */
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer, intent(in) :: idir
! local pointers
!
type(block_meta), pointer :: pmeta, pneigh
#ifdef MPI
type(block_info), pointer :: pinfo
#endif /* MPI */
! local variables
!
integer :: i , j , k
integer :: ih, jh, kh
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: iret
#ifdef MPI
integer :: isend, irecv, nblocks, itag, l
! local pointer arrays
!
type(pointer_info), dimension(0:npmax,0:npmax) :: block_array
! local arrays
!
integer , dimension(0:npmax,0:npmax) :: block_counter
real(kind=8), dimension(:,:,:,:,:) , allocatable :: rbuf
#endif /* MPI */
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! start accounting time for restrict boundary update
!
call start_timer(imr)
#endif /* PROFILE */
! calculate half sizes
!
ih = in / 2
jh = jn / 2
#if NDIMS == 3
kh = kn / 2
#endif /* NDIMS == 3 */
#ifdef MPI
!! 1. PREPARE THE BLOCK EXCHANGE ARRAYS FOR MPI
!!
! reset the exchange block counters
!
block_counter(:,:) = 0
! nullify the info pointers
!
do irecv = 0, npmax
do isend = 0, npmax
nullify(block_array(isend,irecv)%ptr)
end do
end do
#endif /* MPI */
!! 2. UPDATE VARIABLE EDGE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT
!! PROCESS AND PREPARE THE EXCHANGE BLOCK LIST OF BLOCKS WHICH BELONG TO
!! DIFFERENT PROCESSES
!!
! associate pmeta with the first block on the meta block list
!
pmeta => list_meta
! scan all meta blocks
!
do while(associated(pmeta))
! check if the block is leaf
!
if (pmeta%leaf) then
! scan over all block corners
!
#if NDIMS == 3
do k = 1, nsides
#endif /* NDIMS == 3 */
do j = 1, nsides
do i = 1, nsides
! assign pneigh to the current neighbor
!
#if NDIMS == 2
pneigh => pmeta%edges(i,j,idir)%ptr
#endif /* NDIMS == 2 */
#if NDIMS == 3
pneigh => pmeta%edges(i,j,k,idir)%ptr
#endif /* NDIMS == 3 */
! check if the neighbor is associated
!
if (associated(pneigh)) then
! check if the neighbor is at higher level
!
if (pneigh%level > pmeta%level) then
! process only blocks and neighbors which are marked for update
!
if (pmeta%update .and. pneigh%update) then
#ifdef MPI
! check if the block and its neighbor belong to the same process
!
if (pmeta%process == pneigh%process) then
! check if the neighbor belongs to the current process
!
if (pmeta%process == nproc) then
#endif /* MPI */
! prepare the region indices for edge boundary update
!
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
#if NDIMS == 3
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
#endif /* NDIMS == 3 */
! extract the corresponding edge region from the neighbor and insert it in
! the current data block
!
select case(idir)
case(1)
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
case(2)
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
#if NDIMS == 3
case(3)
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
#endif /* NDIMS == 3 */
end select
#if NDIMS == 2
call block_edge_restrict(idir, i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju, 1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_edge_restrict(idir, i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku))
#endif /* NDIMS == 3 */
#ifdef MPI
end if ! pneigh on the current process
else ! block and neighbor belong to different processes
! increase the counter for number of blocks to exchange
!
block_counter(pneigh%process,pmeta%process) = &
block_counter(pneigh%process,pmeta%process) + 1
! allocate a new info object
!
allocate(pinfo)
! fill out only fields which are used
!
pinfo%block => pmeta
pinfo%neigh => pneigh
pinfo%direction = idir
pinfo%corner(1) = i
pinfo%corner(2) = j
#if NDIMS == 3
pinfo%corner(3) = k
#endif /* NDIMS == 3 */
! nullify pointer fields of the object
!
nullify(pinfo%prev)
nullify(pinfo%next)
! if the list is not empty append the newly created block to it
!
if (associated(block_array(pneigh%process &
,pmeta%process)%ptr)) &
pinfo%prev => block_array(pneigh%process &
,pmeta%process)%ptr
! point the list to the newly created block
!
block_array(pneigh%process,pmeta%process)%ptr => pinfo
end if ! block and neighbor belong to different processes
#endif /* MPI */
end if ! pmeta and pneigh marked for update
end if ! neighbor at the same level
end if ! neighbor associated
end do ! i = 1, nsides
end do ! j = 1, nsides
#if NDIMS == 3
end do ! k = 1, nsides
#endif /* NDIMS == 3 */
end if ! leaf
! associate the pointer to the next meta block
!
pmeta => pmeta%next
end do ! meta blocks
#ifdef MPI
!! 3. UPDATE VARIABLE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT PROCESSES
!!
! iterate over sending and receiving processors
!
do irecv = 0, npmax
do isend = 0, npmax
! process only pairs which have something to exchange
!
if (block_counter(isend,irecv) > 0) then
! obtain the number of blocks to exchange
!
nblocks = block_counter(isend,irecv)
! prepare the tag for communication
!
itag = 100 * (irecv * nprocs + isend + 1) + 22
! allocate data buffer for variables to exchange
!
select case(idir)
#if NDIMS == 2
case(1)
allocate(rbuf(nblocks,nv,ih,ng,km))
case(2)
allocate(rbuf(nblocks,nv,ng,jh,km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
case(1)
allocate(rbuf(nblocks,nv,ih,ng,ng))
case(2)
allocate(rbuf(nblocks,nv,ng,jh,ng))
case(3)
allocate(rbuf(nblocks,nv,ng,ng,kh))
#endif /* NDIMS == 3 */
end select
! if isend == nproc we are sending data from the neighbor block
!
if (isend == nproc) then
! reset the block counter
!
l = 0
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the block exchange list
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! assign pneigh to the associated neighbor block
!
pneigh => pinfo%neigh
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! extract the corresponding edge region from the neighbor and insert it
! to the buffer
!
select case(idir)
case(1)
#if NDIMS == 2
call block_edge_restrict(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ih,1:ng,1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_edge_restrict(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ih,1:ng,1:ng))
#endif /* NDIMS == 3 */
case(2)
#if NDIMS == 2
call block_edge_restrict(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:jh,1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_edge_restrict(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:jh,1:ng))
#endif /* NDIMS == 3 */
#if NDIMS == 3
case(3)
call block_edge_restrict(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:ng,1:kh))
#endif /* NDIMS == 3 */
end select
! associate the pointer with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
! send the data buffer to another process
!
call send_real_array(size(rbuf), irecv, itag, rbuf(:,:,:,:,:), iret)
end if ! isend = nproc
! if irecv == nproc we are receiving data from the neighbor block
!
if (irecv == nproc) then
! receive the data buffer
!
call receive_real_array(size(rbuf(:,:,:,:,:)), isend, itag &
, rbuf(:,:,:,:,:), iret)
! reset the block counter
!
l = 0
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! iterate over all received blocks and update boundaries of the corresponding
! data blocks
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! assign a pointer to the associated data block
!
pmeta => pinfo%block
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! calculate the insertion indices
!
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
#if NDIMS == 3
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
#endif /* NDIMS == 3 */
! update the corresponding corner region of the current block
!
select case(idir)
case(1)
if (i == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
#if NDIMS == 2
pmeta%data%q(1:nv,il:iu,jl:ju, 1:km) = &
rbuf(l,1:nv,1:ih,1:ng,1:km)
#endif /* NDIMS == 2 */
#if NDIMS == 3
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ih,1:ng,1:ng)
#endif /* NDIMS == 3 */
case(2)
if (j == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
#if NDIMS == 2
pmeta%data%q(1:nv,il:iu,jl:ju, 1:km) = &
rbuf(l,1:nv,1:ng,1:jh,1:km)
#endif /* NDIMS == 2 */
#if NDIMS == 3
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ng,1:jh,1:ng)
#endif /* NDIMS == 3 */
#if NDIMS == 3
case(3)
if (k == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ng,1:ng,1:kh)
#endif /* NDIMS == 3 */
end select
! associate the pointer with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
end if ! irecv = nproc
! deallocate data buffer
!
if (allocated(rbuf)) deallocate(rbuf)
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the exchange block list
!
do while(associated(pinfo))
! associate the exchange list pointer
!
block_array(isend,irecv)%ptr => pinfo%prev
! nullify the pointer fields
!
nullify(pinfo%prev)
nullify(pinfo%next)
nullify(pinfo%block)
nullify(pinfo%neigh)
! deallocate the object
!
deallocate(pinfo)
! associate the pointer with the next block
!
pinfo => block_array(isend,irecv)%ptr
end do ! %ptr block list
end if ! if block_count > 0
end do ! isend
end do ! irecv
#endif /* MPI */
#ifdef PROFILE
! stop accounting time for restrict boundary update
!
call stop_timer(imr)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine boundaries_edge_restrict
!
!===============================================================================
!
! subroutine BOUNDARIES_EDGE_PROLONG:
! ----------------------------------
!
! Subroutine scans over all leaf blocks in order to find edge neighbors which
! are on different levels, and perform the update of edge boundaries of
! higher blocks by prolongating them from lower level neighbors.
!
! Arguments:
!
! idir - the direction to be processed;
!
!===============================================================================
!
subroutine boundaries_edge_prolong(idir)
! import external procedures and variables
!
use blocks , only : nsides
use blocks , only : block_meta, block_data
use blocks , only : list_meta
use blocks , only : block_info, pointer_info
use coordinates , only : ng
use coordinates , only : in , jn , kn
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use coordinates , only : ibl, jbl, kbl
use coordinates , only : ieu, jeu, keu
use equations , only : nv
use mpitools , only : nproc, nprocs, npmax
#ifdef MPI
use mpitools , only : send_real_array, receive_real_array
#endif /* MPI */
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer, intent(in) :: idir
! local pointers
!
type(block_meta), pointer :: pmeta, pneigh
#ifdef MPI
type(block_info), pointer :: pinfo
#endif /* MPI */
! local variables
!
integer :: i , j , k
integer :: ic, jc, kc
integer :: ih, jh, kh
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: iret
#ifdef MPI
integer :: isend, irecv, nblocks, itag, l
! local pointer arrays
!
type(pointer_info), dimension(0:npmax,0:npmax) :: block_array
! local arrays
!
integer , dimension(0:npmax,0:npmax) :: block_counter
real(kind=8), dimension(:,:,:,:,:) , allocatable :: rbuf
#endif /* MPI */
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! start accounting time for prolong boundary update
!
call start_timer(imp)
#endif /* PROFILE */
! calculate the sizes
!
ih = in + ng
jh = jn + ng
#if NDIMS == 3
kh = kn + ng
#endif /* NDIMS == 3 */
#ifdef MPI
!! 1. PREPARE THE BLOCK EXCHANGE ARRAYS FOR MPI
!!
! reset the exchange block counters
!
block_counter(:,:) = 0
! nullify the info pointers
!
do irecv = 0, npmax
do isend = 0, npmax
nullify(block_array(isend,irecv)%ptr)
end do
end do
#endif /* MPI */
!! 2. UPDATE VARIABLE EDGE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT
!! PROCESS AND PREPARE THE EXCHANGE BLOCK LIST OF BLOCKS WHICH BELONG TO
!! DIFFERENT PROCESSES
!!
! associate pmeta with the first block on the meta block list
!
pmeta => list_meta
! scan all meta blocks
!
do while(associated(pmeta))
! check if the block is leaf
!
if (pmeta%leaf) then
! scan over all block corners
!
#if NDIMS == 3
do k = 1, nsides
kc = k
#endif /* NDIMS == 3 */
do j = 1, nsides
jc = j
do i = 1, nsides
ic = i
! assign pneigh to the current neighbor
!
#if NDIMS == 2
pneigh => pmeta%edges(i,j,idir)%ptr
#endif /* NDIMS == 2 */
#if NDIMS == 3
pneigh => pmeta%edges(i,j,k,idir)%ptr
#endif /* NDIMS == 3 */
! check if the neighbor is associated
!
if (associated(pneigh)) then
! check if the neighbor lays at lower level
!
if (pneigh%level < pmeta%level) then
! process only blocks and neighbors which are marked for update
!
if (pmeta%update .and. pneigh%update) then
#ifdef MPI
! check if the block and its neighbor belong to the same process
!
if (pmeta%process == pneigh%process) then
! check if the neighbor belongs to the current process
!
if (pmeta%process == nproc) then
#endif /* MPI */
! prepare the region indices for edge boundary update
!
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
#if NDIMS == 3
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
#endif /* NDIMS == 3 */
! extract the corresponding edge region from the neighbor and insert it in
! the current data block
!
select case(idir)
case(1)
ic = pmeta%pos(1)
if (ic == 0) then
il = ib
iu = im
else
il = 1
iu = ie
end if
case(2)
jc = pmeta%pos(2)
if (jc == 0) then
jl = jb
ju = jm
else
jl = 1
ju = je
end if
#if NDIMS == 3
case(3)
kc = pmeta%pos(3)
if (kc == 0) then
kl = kb
ku = km
else
kl = 1
ku = ke
end if
#endif /* NDIMS == 3 */
end select
#if NDIMS == 2
call block_edge_prolong(idir, ic, jc, kc &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju, 1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_edge_prolong(idir, ic, jc, kc &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku))
#endif /* NDIMS == 3 */
#ifdef MPI
end if ! pneigh on the current process
else ! block and neighbor belong to different processes
! increase the counter for number of blocks to exchange
!
block_counter(pneigh%process,pmeta%process) = &
block_counter(pneigh%process,pmeta%process) + 1
! allocate a new info object
!
allocate(pinfo)
! fill out only fields which are used
!
pinfo%block => pmeta
pinfo%neigh => pneigh
pinfo%direction = idir
pinfo%corner(1) = i
pinfo%corner(2) = j
#if NDIMS == 3
pinfo%corner(3) = k
#endif /* NDIMS == 3 */
! nullify pointer fields of the object
!
nullify(pinfo%prev)
nullify(pinfo%next)
! if the list is not empty append the newly created block to it
!
if (associated(block_array(pneigh%process &
,pmeta%process)%ptr)) &
pinfo%prev => block_array(pneigh%process &
,pmeta%process)%ptr
! point the list to the newly created block
!
block_array(pneigh%process,pmeta%process)%ptr => pinfo
end if ! block and neighbor belong to different processes
#endif /* MPI */
end if ! pmeta and pneigh marked for update
end if ! neighbor at lower level
end if ! neighbor associated
end do ! i = 1, nsides
end do ! j = 1, nsides
#if NDIMS == 3
end do ! k = 1, nsides
#endif /* NDIMS == 3 */
end if ! leaf
! associate the pointer to the next meta block
!
pmeta => pmeta%next
end do ! meta blocks
#ifdef MPI
!! 3. UPDATE VARIABLE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT PROCESSES
!!
! iterate over sending and receiving processors
!
do irecv = 0, npmax
do isend = 0, npmax
! process only pairs which have something to exchange
!
if (block_counter(isend,irecv) > 0) then
! obtain the number of blocks to exchange
!
nblocks = block_counter(isend,irecv)
! prepare the tag for communication
!
itag = 100 * (irecv * nprocs + isend + 1) + 23
! allocate data buffer for variables to exchange
!
select case(idir)
#if NDIMS == 2
case(1)
allocate(rbuf(nblocks,nv,ih,ng,km))
case(2)
allocate(rbuf(nblocks,nv,ng,jh,km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
case(1)
allocate(rbuf(nblocks,nv,ih,ng,ng))
case(2)
allocate(rbuf(nblocks,nv,ng,jh,ng))
case(3)
allocate(rbuf(nblocks,nv,ng,ng,kh))
#endif /* NDIMS == 3 */
end select
! if isend == nproc we are sending data from the neighbor block
!
if (isend == nproc) then
! reset the block counter
!
l = 0
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the block exchange list
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! assign pmeta and pneigh to the associated blocks
!
pmeta => pinfo%block
pneigh => pinfo%neigh
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! extract the corresponding edge region from the neighbor and insert it
! to the buffer
!
select case(idir)
case(1)
i = pmeta%pos(1)
#if NDIMS == 2
call block_edge_prolong(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ih,1:ng,1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_edge_prolong(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ih,1:ng,1:ng))
#endif /* NDIMS == 3 */
case(2)
j = pmeta%pos(2)
#if NDIMS == 2
call block_edge_prolong(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:jh,1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_edge_prolong(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:jh,1:ng))
#endif /* NDIMS == 3 */
#if NDIMS == 3
case(3)
k = pmeta%pos(3)
call block_edge_prolong(idir, i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:ng,1:kh))
#endif /* NDIMS == 3 */
end select
! associate the pointer with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
! send the data buffer to another process
!
call send_real_array(size(rbuf), irecv, itag, rbuf(:,:,:,:,:), iret)
end if ! isend = nproc
! if irecv == nproc we are receiving data from the neighbor block
!
if (irecv == nproc) then
! receive the data buffer
!
call receive_real_array(size(rbuf(:,:,:,:,:)), isend, itag &
, rbuf(:,:,:,:,:), iret)
! reset the block counter
!
l = 0
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! iterate over all received blocks and update boundaries of the corresponding
! data blocks
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! assign a pointer to the associated data block
!
pmeta => pinfo%block
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! calculate the insertion indices
!
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
#if NDIMS == 3
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
#endif /* NDIMS == 3 */
! update the corresponding corner region of the current block
!
select case(idir)
case(1)
if (pmeta%pos(1) == 0) then
il = ib
iu = im
else
il = 1
iu = ie
end if
#if NDIMS == 2
pmeta%data%q(1:nv,il:iu,jl:ju, 1:km) = &
rbuf(l,1:nv,1:ih,1:ng,1:km)
#endif /* NDIMS == 2 */
#if NDIMS == 3
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ih,1:ng,1:ng)
#endif /* NDIMS == 3 */
case(2)
if (pmeta%pos(2) == 0) then
jl = jb
ju = jm
else
jl = 1
ju = je
end if
#if NDIMS == 2
pmeta%data%q(1:nv,il:iu,jl:ju, 1:km) = &
rbuf(l,1:nv,1:ng,1:jh,1:km)
#endif /* NDIMS == 2 */
#if NDIMS == 3
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ng,1:jh,1:ng)
#endif /* NDIMS == 3 */
#if NDIMS == 3
case(3)
if (pmeta%pos(3) == 0) then
kl = kb
ku = km
else
kl = 1
ku = ke
end if
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = &
rbuf(l,1:nv,1:ng,1:ng,1:kh)
#endif /* NDIMS == 3 */
end select
! associate the pointer with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
end if ! irecv = nproc
! deallocate data buffer
!
if (allocated(rbuf)) deallocate(rbuf)
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the exchange block list
!
do while(associated(pinfo))
! associate the exchange list pointer
!
block_array(isend,irecv)%ptr => pinfo%prev
! nullify the pointer fields
!
nullify(pinfo%prev)
nullify(pinfo%next)
nullify(pinfo%block)
nullify(pinfo%neigh)
! deallocate the object
!
deallocate(pinfo)
! associate the pointer with the next block
!
pinfo => block_array(isend,irecv)%ptr
end do ! %ptr block list
end if ! if block_count > 0
end do ! isend
end do ! irecv
#endif /* MPI */
#ifdef PROFILE
! stop accounting time for prolong boundary update
!
call stop_timer(imp)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine boundaries_edge_prolong
!
!===============================================================================
!
! DOMAIN CORNER BOUNDARY UPDATE SUBROUTINES
!
!===============================================================================
!
!===============================================================================
!
! subroutine BOUNDARIES_CORNER_COPY:
! ---------------------------------
!
! Subroutine scans over all leaf blocks in order to find corner neighbors at
! the same level, and perform the update of the corner boundaries between
! them.
!
!
!===============================================================================
!
subroutine boundaries_corner_copy()
! import external procedures and variables
!
use blocks , only : nsides
use blocks , only : block_meta, block_data
use blocks , only : list_meta
use blocks , only : block_info, pointer_info
use coordinates , only : ng
use coordinates , only : im , jm , km
use coordinates , only : ibl, jbl, kbl
use coordinates , only : ieu, jeu, keu
use equations , only : nv
use mpitools , only : nproc, nprocs, npmax
#ifdef MPI
use mpitools , only : send_real_array, receive_real_array
#endif /* MPI */
! local variables are not implicit by default
!
implicit none
! local pointers
!
type(block_meta), pointer :: pmeta, pneigh
#ifdef MPI
type(block_info), pointer :: pinfo
#endif /* MPI */
! local variables
!
integer :: i , j , k
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: iret
#ifdef MPI
integer :: isend, irecv, nblocks, itag, l
! local pointer arrays
!
type(pointer_info), dimension(0:npmax,0:npmax) :: block_array
! local arrays
!
integer , dimension(0:npmax,0:npmax) :: block_counter
real(kind=8), dimension(:,:,:,:,:) , allocatable :: rbuf
#endif /* MPI */
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! start accounting time for copy boundary update
!
call start_timer(imc)
#endif /* PROFILE */
#ifdef MPI
!! 1. PREPARE THE BLOCK EXCHANGE ARRAYS FOR MPI
!!
! reset the exchange block counters
!
block_counter(:,:) = 0
! nullify the info pointers
!
do irecv = 0, npmax
do isend = 0, npmax
nullify(block_array(isend,irecv)%ptr)
end do
end do
#endif /* MPI */
!! 2. UPDATE VARIABLE CORNER BOUNDARIES BETWEEN BLOCKS BELONGING TO THE SAME
!! PROCESS AND PREPARE THE EXCHANGE BLOCK LIST OF BLOCKS WHICH BELONG TO
!! DIFFERENT PROCESSES
!!
! associate pmeta with the first block on the meta block list
!
pmeta => list_meta
! scan all meta blocks
!
do while(associated(pmeta))
! check if the block is leaf
!
if (pmeta%leaf) then
! scan over all block corners
!
#if NDIMS == 3
do k = 1, nsides
#endif /* NDIMS == 3 */
do j = 1, nsides
do i = 1, nsides
! assign pneigh to the current neighbor
!
#if NDIMS == 2
pneigh => pmeta%corners(i,j)%ptr
#endif /* NDIMS == 2 */
#if NDIMS == 3
pneigh => pmeta%corners(i,j,k)%ptr
#endif /* NDIMS == 3 */
! check if the neighbor is associated
!
if (associated(pneigh)) then
! check if the neighbor is at the same level
!
if (pneigh%level == pmeta%level) then
! skip if the block and its neighbor are not marked for update
!
if (pmeta%update .and. pneigh%update) then
#ifdef MPI
! check if the block and its neighbor belong to the same process
!
if (pmeta%process == pneigh%process) then
! check if the neighbor belongs to the current process
!
if (pmeta%process == nproc) then
#endif /* MPI */
! prepare the region indices for corner boundary update
!
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
#if NDIMS == 3
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
#endif /* NDIMS == 3 */
! extract the corresponding corner region from the neighbor and insert it in
! the current data block
!
#if NDIMS == 2
call block_corner_copy(i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju, 1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_corner_copy(i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku))
#endif /* NDIMS == 3 */
#ifdef MPI
end if ! pneigh on the current process
else ! block and neighbor belong to different processes
! increase the counter for number of blocks to exchange
!
block_counter(pneigh%process,pmeta%process) = &
block_counter(pneigh%process,pmeta%process) + 1
! allocate a new info object
!
allocate(pinfo)
! fill out only fields which are used
!
pinfo%block => pmeta
pinfo%neigh => pneigh
pinfo%corner(1) = i
pinfo%corner(2) = j
#if NDIMS == 3
pinfo%corner(3) = k
#endif /* NDIMS == 3 */
! nullify pointer fields of the object
!
nullify(pinfo%prev)
nullify(pinfo%next)
! if the list is not empty append the newly created block to it
!
if (associated(block_array(pneigh%process &
,pmeta%process)%ptr)) &
pinfo%prev => block_array(pneigh%process &
,pmeta%process)%ptr
! point the list to the newly created block
!
block_array(pneigh%process,pmeta%process)%ptr => pinfo
end if ! block and neighbor belong to different processes
#endif /* MPI */
end if ! pmeta and pneigh marked for update
end if ! neighbor at the same level
end if ! neighbor associated
end do ! i = 1, nsides
end do ! j = 1, nsides
#if NDIMS == 3
end do ! k = 1, nsides
#endif /* NDIMS == 3 */
end if ! leaf
! associate the pointer to the next meta block
!
pmeta => pmeta%next
end do ! meta blocks
#ifdef MPI
!! 3. UPDATE VARIABLE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT PROCESSES
!!
! iterate over sending and receiving processors
!
do irecv = 0, npmax
do isend = 0, npmax
! process only pairs which have something to exchange
!
if (block_counter(isend,irecv) > 0) then
! obtain the number of blocks to exchange
!
nblocks = block_counter(isend,irecv)
! prepare the tag for communication
!
itag = 100 * (irecv * nprocs + isend + 1) + 31
! allocate data buffer for variables to exchange
!
#if NDIMS == 2
allocate(rbuf(nblocks,nv,ng,ng,km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
allocate(rbuf(nblocks,nv,ng,ng,ng))
#endif /* NDIMS == 3 */
! if isend == nproc we are sending data from the neighbor block
!
if (isend == nproc) then
! reset the block counter
!
l = 0
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the block exchange list
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! assign pneigh to the associated neighbor block
!
pneigh => pinfo%neigh
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! extract the corresponding corner region from the neighbor and insert it
! to the buffer
!
#if NDIMS == 2
call block_corner_copy(i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, rbuf(l,1:nv,1:ng,1:ng,1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_corner_copy(i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, rbuf(l,1:nv,1:ng,1:ng,1:ng))
#endif /* NDIMS == 3 */
! associate the pointer with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
! send the data buffer to another process
!
call send_real_array(size(rbuf), irecv, itag, rbuf(:,:,:,:,:), iret)
end if ! isend = nproc
! if irecv == nproc we are receiving data from the neighbor block
!
if (irecv == nproc) then
! receive the data buffer
!
call receive_real_array(size(rbuf(:,:,:,:,:)), isend, itag &
, rbuf(:,:,:,:,:), iret)
! reset the block counter
!
l = 0
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! iterate over all received blocks and update boundaries of the corresponding
! data blocks
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! assign a pointer to the associated data block
!
pmeta => pinfo%block
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! calculate the insertion indices
!
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
#if NDIMS == 3
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
#endif /* NDIMS == 3 */
! update the corresponding corner region of the current block
!
#if NDIMS == 2
pmeta%data%q(1:nv,il:iu,jl:ju, 1:km) = rbuf(l,1:nv,1:ng,1:ng,1:km)
#endif /* NDIMS == 2 */
#if NDIMS == 3
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = rbuf(l,1:nv,1:ng,1:ng,1:ng)
#endif /* NDIMS == 3 */
! associate the pointer with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
end if ! irecv = nproc
! deallocate data buffer
!
if (allocated(rbuf)) deallocate(rbuf)
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the exchange block list
!
do while(associated(pinfo))
! associate the exchange list pointer
!
block_array(isend,irecv)%ptr => pinfo%prev
! nullify the pointer fields
!
nullify(pinfo%prev)
nullify(pinfo%next)
nullify(pinfo%block)
nullify(pinfo%neigh)
! deallocate the object
!
deallocate(pinfo)
! associate the pointer with the next block
!
pinfo => block_array(isend,irecv)%ptr
end do ! %ptr block list
end if ! if block_count > 0
end do ! isend
end do ! irecv
#endif /* MPI */
#ifdef PROFILE
! stop accounting time for copy boundary update
!
call stop_timer(imc)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine boundaries_corner_copy
!
!===============================================================================
!
! subroutine BOUNDARIES_CORNER_RESTRICT:
! -------------------------------------
!
! Subroutine scans over all leaf blocks in order to find corner neighbors
! which are on different levels, and perform the update of corner boundaries
! of lower blocks by restricting them from higher level neighbors.
!
!
!===============================================================================
!
subroutine boundaries_corner_restrict()
! import external procedures and variables
!
use blocks , only : nsides
use blocks , only : block_meta, block_data
use blocks , only : list_meta
use blocks , only : block_info, pointer_info
use coordinates , only : ng
use coordinates , only : im , jm , km
use coordinates , only : ibl, jbl, kbl
use coordinates , only : ieu, jeu, keu
use equations , only : nv
use mpitools , only : nproc, nprocs, npmax
#ifdef MPI
use mpitools , only : send_real_array, receive_real_array
#endif /* MPI */
! local variables are not implicit by default
!
implicit none
! local pointers
!
type(block_meta), pointer :: pmeta, pneigh
#ifdef MPI
type(block_info), pointer :: pinfo
#endif /* MPI */
! local variables
!
integer :: i , j , k
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: iret
#ifdef MPI
integer :: isend, irecv, nblocks, itag, l
! local pointer arrays
!
type(pointer_info), dimension(0:npmax,0:npmax) :: block_array
! local arrays
!
integer , dimension(0:npmax,0:npmax) :: block_counter
real(kind=8), dimension(:,:,:,:,:) , allocatable :: rbuf
#endif /* MPI */
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! start accounting time for restrict boundary update
!
call start_timer(imr)
#endif /* PROFILE */
#ifdef MPI
!! 1. PREPARE THE BLOCK EXCHANGE ARRAYS FOR MPI
!!
! reset the exchange block counters
!
block_counter(:,:) = 0
! nullify the info pointers
!
do irecv = 0, npmax
do isend = 0, npmax
nullify(block_array(isend,irecv)%ptr)
end do
end do
#endif /* MPI */
!! 2. UPDATE VARIABLE CORNER BOUNDARIES BETWEEN BLOCKS BELONGING TO THE SAME
!! PROCESS AND PREPARE THE EXCHANGE BLOCK LIST OF BLOCKS WHICH BELONG TO
!! DIFFERENT PROCESSES
!!
! associate pmeta with the first block on the meta block list
!
pmeta => list_meta
! scan all meta blocks
!
do while(associated(pmeta))
! check if the block is leaf
!
if (pmeta%leaf) then
! scan over all block corners
!
#if NDIMS == 3
do k = 1, nsides
#endif /* NDIMS == 3 */
do j = 1, nsides
do i = 1, nsides
! assign pneigh to the current neighbor
!
#if NDIMS == 2
pneigh => pmeta%corners(i,j)%ptr
#endif /* NDIMS == 2 */
#if NDIMS == 3
pneigh => pmeta%corners(i,j,k)%ptr
#endif /* NDIMS == 3 */
! check if the neighbor is associated
!
if (associated(pneigh)) then
! check if the neighbor is at higher level
!
if (pneigh%level > pmeta%level) then
! skip if the block and its neighbor are not marked for update
!
if (pmeta%update .and. pneigh%update) then
#ifdef MPI
! check if the block and its neighbor belong to the same process
!
if (pmeta%process == pneigh%process) then
! check if the neighbor belongs to the current process
!
if (pmeta%process == nproc) then
#endif /* MPI */
! prepare the region indices for corner boundary update
!
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
#if NDIMS == 3
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
#endif /* NDIMS == 3 */
! restrict and extract the corresponding corner region from the neighbor and
! insert it in the current data block
!
#if NDIMS == 2
call block_corner_restrict(i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju, 1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_corner_restrict(i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku))
#endif /* NDIMS == 3 */
#ifdef MPI
end if ! block on the current processor
else ! block and neighbor on different processors
! increase the counter for number of blocks to exchange
!
block_counter(pneigh%process,pmeta%process) = &
block_counter(pneigh%process,pmeta%process) + 1
! allocate a new info object
!
allocate(pinfo)
! fill out only fields which are used
!
pinfo%block => pmeta
pinfo%neigh => pneigh
pinfo%corner(1) = i
pinfo%corner(2) = j
#if NDIMS == 3
pinfo%corner(3) = k
#endif /* NDIMS == 3 */
! nullify pointer fields of the object
!
nullify(pinfo%prev)
nullify(pinfo%next)
! if the list is not empty append the newly created block to it
!
if (associated(block_array(pneigh%process &
,pmeta%process)%ptr)) &
pinfo%prev => block_array(pneigh%process &
,pmeta%process)%ptr
! point the list to the newly created block
!
block_array(pneigh%process,pmeta%process)%ptr => pinfo
end if ! block and neighbor on different processors
#endif /* MPI */
end if ! pmeta and pneigh marked for update
end if ! neighbor at higher level
end if ! neighbor associated
end do ! i = 1, nsides
end do ! j = 1, nsides
#if NDIMS == 3
end do ! k = 1, nsides
#endif /* NDIMS == 3 */
end if ! leaf
! assign the pointer to the next block on the list
!
pmeta => pmeta%next
end do ! meta blocks
#ifdef MPI
!! 3. UPDATE VARIABLE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT PROCESSES
!!
! iterate over sending and receiving processors
!
do irecv = 0, npmax
do isend = 0, npmax
! process only pairs which have something to exchange
!
if (block_counter(isend,irecv) > 0) then
! obtain the number of blocks to exchange
!
nblocks = block_counter(isend,irecv)
! prepare the tag for communication
!
itag = 100 * (irecv * nprocs + isend + 1) + 32
! allocate data buffer for variables to exchange
!
#if NDIMS == 2
allocate(rbuf(nblocks,nv,ng,ng,km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
allocate(rbuf(nblocks,nv,ng,ng,ng))
#endif /* NDIMS == 3 */
! if isend == nproc we are sending data from the neighbor block
!
if (isend == nproc) then
! reset the block counter
!
l = 0
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the block exchange list
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! assign pneigh to the associated neighbor block
!
pneigh => pinfo%neigh
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! restrict and extract the corresponding corner region from the neighbor and
! insert it to the buffer
!
#if NDIMS == 2
call block_corner_restrict(i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, rbuf(l,1:nv,1:ng,1:ng,1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_corner_restrict(i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, rbuf(l,1:nv,1:ng,1:ng,1:ng))
#endif /* NDIMS == 3 */
! associate the pointer with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
! send the data buffer to another process
!
call send_real_array(size(rbuf), irecv, itag, rbuf(:,:,:,:,:), iret)
end if ! isend = nproc
! if irecv == nproc we are receiving data from the neighbor block
!
if (irecv == nproc) then
! receive the data buffer
!
call receive_real_array(size(rbuf(:,:,:,:,:)), isend, itag &
, rbuf(:,:,:,:,:), iret)
! reset the block counter
!
l = 0
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! iterate over all received blocks and update boundaries of the corresponding
! data blocks
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! assign a pointer to the associated data block
!
pmeta => pinfo%block
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! calculate the insertion indices
!
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
#if NDIMS == 3
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
#endif /* NDIMS == 3 */
! update the corresponding corner region of the current block
!
#if NDIMS == 2
pmeta%data%q(1:nv,il:iu,jl:ju, 1:km) = rbuf(l,1:nv,1:ng,1:ng,1:km)
#endif /* NDIMS == 2 */
#if NDIMS == 3
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = rbuf(l,1:nv,1:ng,1:ng,1:ng)
#endif /* NDIMS == 3 */
! associate the pointer with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
end if ! irecv = nproc
! deallocate data buffer
!
if (allocated(rbuf)) deallocate(rbuf)
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the exchange block list
!
do while(associated(pinfo))
! associate the exchange list pointer
!
block_array(isend,irecv)%ptr => pinfo%prev
! nullify the pointer fields
!
nullify(pinfo%prev)
nullify(pinfo%next)
nullify(pinfo%block)
nullify(pinfo%neigh)
! deallocate the object
!
deallocate(pinfo)
! associate the pointer with the next block
!
pinfo => block_array(isend,irecv)%ptr
end do ! %ptr block list
end if ! if block_count > 0
end do ! isend
end do ! irecv
#endif /* MPI */
#ifdef PROFILE
! stop accounting time for restrict boundary update
!
call stop_timer(imr)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine boundaries_corner_restrict
!
!===============================================================================
!
! subroutine BOUNDARIES_CORNER_PROLONG:
! ------------------------------------
!
! Subroutine scans over all leaf blocks in order to find corner neighbors at
! different levels, and update the corner boundaries of blocks at higher
! levels by prolongating variables from lower level blocks.
!
!
!===============================================================================
!
subroutine boundaries_corner_prolong()
! import external procedures and variables
!
use blocks , only : nsides
use blocks , only : block_meta, block_data
use blocks , only : list_meta
use blocks , only : block_info, pointer_info
use coordinates , only : ng
use coordinates , only : im , jm , km
use coordinates , only : ibl, jbl, kbl
use coordinates , only : ieu, jeu, keu
use equations , only : nv
use mpitools , only : nproc, nprocs, npmax
#ifdef MPI
use mpitools , only : send_real_array, receive_real_array
#endif /* MPI */
! local variables are not implicit by default
!
implicit none
! local pointers
!
type(block_meta), pointer :: pmeta, pneigh
#ifdef MPI
type(block_info), pointer :: pinfo
#endif /* MPI */
! local variables
!
integer :: i , j , k
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: iret
#ifdef MPI
integer :: isend, irecv, nblocks, itag, l
! local pointer arrays
!
type(pointer_info), dimension(0:npmax,0:npmax) :: block_array
! local arrays
!
integer , dimension(0:npmax,0:npmax) :: block_counter
real(kind=8), dimension(:,:,:,:,:) , allocatable :: rbuf
#endif /* MPI */
!
!-------------------------------------------------------------------------------
!
#ifdef PROFILE
! start accounting time for prolong boundary update
!
call start_timer(imp)
#endif /* PROFILE */
#ifdef MPI
!! 1. PREPARE THE BLOCK EXCHANGE ARRAYS FOR MPI
!!
! reset the exchange block counters
!
block_counter(:,:) = 0
! nullify the info pointers
!
do irecv = 0, npmax
do isend = 0, npmax
nullify(block_array(isend,irecv)%ptr)
end do
end do
#endif /* MPI */
!! 2. UPDATE VARIABLE CORNER BOUNDARIES BETWEEN BLOCKS BELONGING TO THE SAME
!! PROCESS AND PREPARE THE EXCHANGE BLOCK LIST OF BLOCKS WHICH BELONG TO
!! DIFFERENT PROCESSES
!!
! associate pmeta with the first block on the meta block list
!
pmeta => list_meta
! scan all meta blocks
!
do while(associated(pmeta))
! check if the block is leaf
!
if (pmeta%leaf) then
! scan over all block corners
!
#if NDIMS == 3
do k = 1, nsides
#endif /* NDIMS == 3 */
do j = 1, nsides
do i = 1, nsides
! assign pneigh to the current neighbor
!
#if NDIMS == 2
pneigh => pmeta%corners(i,j)%ptr
#endif /* NDIMS == 2 */
#if NDIMS == 3
pneigh => pmeta%corners(i,j,k)%ptr
#endif /* NDIMS == 3 */
! check if the neighbor is associated
!
if (associated(pneigh)) then
! check if the neighbor lays at lower level
!
if (pneigh%level < pmeta%level) then
! skip if the block and its neighbor are not marked for update
!
if (pmeta%update .and. pneigh%update) then
#ifdef MPI
! check if the block and its neighbor belong to the same process
!
if (pmeta%process == pneigh%process) then
! check if the neighbor belongs to the current process
!
if (pmeta%process == nproc) then
#endif /* MPI */
! prepare the region indices for corner boundary update
!
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
#if NDIMS == 3
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
#endif /* NDIMS == 3 */
! restrict and extract the corresponding corner region from the neighbor and
! insert it in the current data block
!
#if NDIMS == 2
call block_corner_prolong(i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju, 1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_corner_prolong(i, j, k &
, pneigh%data%q(1:nv, 1:im, 1:jm, 1:km) &
, pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku))
#endif /* NDIMS == 3 */
#ifdef MPI
end if ! block on the current processor
else ! block and neighbor on different processors
! increase the counter for number of blocks to exchange
!
block_counter(pneigh%process,pmeta%process) = &
block_counter(pneigh%process,pmeta%process) + 1
! allocate a new info object
!
allocate(pinfo)
! fill out only fields which are used
!
pinfo%block => pmeta
pinfo%neigh => pneigh
pinfo%corner(1) = i
pinfo%corner(2) = j
#if NDIMS == 3
pinfo%corner(3) = k
#endif /* NDIMS == 3 */
! nullify pointer fields of the object
!
nullify(pinfo%prev)
nullify(pinfo%next)
! if the list is not empty append the newly created block to it
!
if (associated(block_array(pneigh%process &
,pmeta%process)%ptr)) &
pinfo%prev => block_array(pneigh%process &
,pmeta%process)%ptr
! point the list to the newly created block
!
block_array(pneigh%process,pmeta%process)%ptr => pinfo
end if ! block and neighbor on different processors
#endif /* MPI */
end if ! pmeta and pneigh marked for update
end if ! neighbor at lower level
end if ! neighbor associated
end do ! i = 1, nsides
end do ! j = 1, nsides
#if NDIMS == 3
end do ! k = 1, nsides
#endif /* NDIMS == 3 */
end if ! leaf
! assign the pointer to the next block on the list
!
pmeta => pmeta%next
end do ! meta blocks
#ifdef MPI
!! 3. UPDATE VARIABLE BOUNDARIES BETWEEN BLOCKS BELONGING TO DIFFERENT PROCESSES
!!
! iterate over sending and receiving processors
!
do irecv = 0, npmax
do isend = 0, npmax
! process only pairs which have something to exchange
!
if (block_counter(isend,irecv) > 0) then
! obtain the number of blocks to exchange
!
nblocks = block_counter(isend,irecv)
! prepare the tag for communication
!
itag = 100 * (irecv * nprocs + isend + 1) + 33
! allocate data buffer for variables to exchange
!
#if NDIMS == 2
allocate(rbuf(nblocks,nv,ng,ng,km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
allocate(rbuf(nblocks,nv,ng,ng,ng))
#endif /* NDIMS == 3 */
! if isend == nproc we are sending data from the neighbor block
!
if (isend == nproc) then
! reset the block counter
!
l = 0
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the block exchange list
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! assign pneigh to the associated neighbor block
!
pneigh => pinfo%neigh
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! restrict and extract the corresponding corner region from the neighbor and
! insert it to the buffer
!
#if NDIMS == 2
call block_corner_prolong(i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:ng,1:km))
#endif /* NDIMS == 2 */
#if NDIMS == 3
call block_corner_prolong(i, j, k &
, pneigh%data%q(1:nv,1:im,1:jm,1:km) &
, rbuf(l,1:nv,1:ng,1:ng,1:ng))
#endif /* NDIMS == 3 */
! associate the pointer with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
! send the data buffer to another process
!
call send_real_array(size(rbuf), irecv, itag, rbuf(:,:,:,:,:), iret)
end if ! isend = nproc
! if irecv == nproc we are receiving data from the neighbor block
!
if (irecv == nproc) then
! receive the data buffer
!
call receive_real_array(size(rbuf(:,:,:,:,:)), isend, itag &
, rbuf(:,:,:,:,:), iret)
! reset the block counter
!
l = 0
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! iterate over all received blocks and update boundaries of the corresponding
! data blocks
!
do while(associated(pinfo))
! increase the block counter
!
l = l + 1
! assign a pointer to the associated data block
!
pmeta => pinfo%block
! get the corner coordinates
!
i = pinfo%corner(1)
j = pinfo%corner(2)
#if NDIMS == 3
k = pinfo%corner(3)
#endif /* NDIMS == 3 */
! calculate the insertion indices
!
if (i == 1) then
il = 1
iu = ibl
else
il = ieu
iu = im
end if
if (j == 1) then
jl = 1
ju = jbl
else
jl = jeu
ju = jm
end if
#if NDIMS == 3
if (k == 1) then
kl = 1
ku = kbl
else
kl = keu
ku = km
end if
#endif /* NDIMS == 3 */
! update the corresponding corner region of the current block
!
#if NDIMS == 2
pmeta%data%q(1:nv,il:iu,jl:ju, 1:km) = rbuf(l,1:nv,1:ng,1:ng,1:km)
#endif /* NDIMS == 2 */
#if NDIMS == 3
pmeta%data%q(1:nv,il:iu,jl:ju,kl:ku) = rbuf(l,1:nv,1:ng,1:ng,1:ng)
#endif /* NDIMS == 3 */
! associate the pointer with the next block
!
pinfo => pinfo%prev
end do ! %ptr block list
end if ! irecv = nproc
! deallocate data buffer
!
if (allocated(rbuf)) deallocate(rbuf)
! associate the pointer with the first block in the exchange list
!
pinfo => block_array(isend,irecv)%ptr
! scan over all blocks on the exchange block list
!
do while(associated(pinfo))
! associate the exchange list pointer
!
block_array(isend,irecv)%ptr => pinfo%prev
! nullify the pointer fields
!
nullify(pinfo%prev)
nullify(pinfo%next)
nullify(pinfo%block)
nullify(pinfo%neigh)
! deallocate the object
!
deallocate(pinfo)
! associate the pointer with the next block
!
pinfo => block_array(isend,irecv)%ptr
end do ! %ptr block list
end if ! if block_count > 0
end do ! isend
end do ! irecv
#endif /* MPI */
#ifdef PROFILE
! stop accounting time for prolong boundary update
!
call stop_timer(imp)
#endif /* PROFILE */
!-------------------------------------------------------------------------------
!
end subroutine boundaries_corner_prolong
!
!===============================================================================
!
! BLOCK SPECIFIC BOUNDARY SUBROUTINES
!
!===============================================================================
!
!===============================================================================
!
! subroutine BLOCK_BOUNDARY_SPECIFIC:
! ----------------------------------
!
! Subroutine applies specific boundary conditions to the pointed data block.
!
! Arguments:
!
! nc - the edge direction;
! ic, jc, kc - the corner position;
! qn - the variable array;
!
!===============================================================================
!
subroutine block_boundary_specific(ic, jc, kc, nc, qn)
! import external procedures and variables
!
use coordinates , only : im , jm , km , ng
use coordinates , only : ib , jb , kb , ie , je , ke
use coordinates , only : ibl, jbl, kbl, ieu, jeu, keu
use equations , only : nv
use equations , only : idn, ivx, ivy, ivz, ibx, iby, ibz, ibp
use error , only : print_error, print_warning
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer , intent(in) :: ic, jc, kc
integer , intent(in) :: nc
real(kind=8), dimension(1:nv,1:im,1:jm,1:km), intent(inout) :: qn
! local variables
!
integer :: i , j , k
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: is, js, ks
integer :: it, jt, kt
!
!-------------------------------------------------------------------------------
!
! apply specific boundaries depending on the direction
!
select case(nc)
case(1)
! prepare indices for the boundaries
!
if (jc == 1) then
jl = 1
ju = jm / 2 - 1
else
jl = jm / 2
ju = jm
end if
#if NDIMS == 3
if (kc == 1) then
kl = 1
ku = km / 2 - 1
else
kl = km / 2
ku = km
end if
#else /* NDIMS == 3 */
kl = 1
ku = km
#endif /* NDIMS == 3 */
! apply selected boundary condition
!
select case(bnd_type(nc,ic))
! "open" boundary conditions
!
case(bnd_open)
if (ic == 1) then
do i = ibl, 1, -1
qn(1:nv,i,jl:ju,kl:ku) = qn(1:nv,ib,jl:ju,kl:ku)
end do
else
do i = ieu, im
qn(1:nv,i,jl:ju,kl:ku) = qn(1:nv,ie,jl:ju,kl:ku)
end do
end if
! "reflective" boundary conditions
!
case(bnd_reflective)
if (ic == 1) then
do i = 1, ng
it = ib - i
is = ibl + i
qn(1:nv,it,jl:ju,kl:ku) = qn(1:nv,is,jl:ju,kl:ku)
qn(ivx ,it,jl:ju,kl:ku) = - qn(ivx ,is,jl:ju,kl:ku)
end do
else
do i = 1, ng
it = ie + i
is = ieu - i
qn(1:nv,it,jl:ju,kl:ku) = qn(1:nv,is,jl:ju,kl:ku)
qn(ivx ,it,jl:ju,kl:ku) = - qn(ivx ,is,jl:ju,kl:ku)
end do
end if
! wrong boundary conditions
!
case default
if (ic == 1) then
call print_error("boundaries:boundary_specific()" &
, "Wrong left X boundary type!")
else
call print_error("boundaries:boundary_specific()" &
, "Wrong right X boundary type!")
end if
end select
case(2)
! prepare indices for the boundaries
!
if (ic == 1) then
il = 1
iu = im / 2 - 1
else
il = im / 2
iu = im
end if
#if NDIMS == 3
if (kc == 1) then
kl = 1
ku = km / 2 - 1
else
kl = km / 2
ku = km
end if
#else /* NDIMS == 3 */
kl = 1
ku = km
#endif /* NDIMS == 3 */
! apply selected boundary condition
!
select case(bnd_type(nc,jc))
! "open" boundary conditions
!
case(bnd_open)
if (jc == 1) then
do j = jbl, 1, -1
qn(1:nv,il:iu,j,kl:ku) = qn(1:nv,il:iu,jb,kl:ku)
end do
else
do j = jeu, jm
qn(1:nv,il:iu,j,kl:ku) = qn(1:nv,il:iu,je,kl:ku)
end do
end if
! "reflective" boundary conditions
!
case(bnd_reflective)
if (jc == 1) then
do j = 1, ng
jt = jb - j
js = jbl + j
qn(1:nv,il:iu,jt,kl:ku) = qn(1:nv,il:iu,js,kl:ku)
qn(ivy ,il:iu,jt,kl:ku) = - qn(ivy ,il:iu,js,kl:ku)
end do
else
do j = 1, ng
jt = je + j
js = jeu - j
qn(1:nv,il:iu,jt,kl:ku) = qn(1:nv,il:iu,js,kl:ku)
qn(ivy ,il:iu,jt,kl:ku) = - qn(ivy ,il:iu,js,kl:ku)
end do
end if
! wrong boundary conditions
!
case default
if (jc == 1) then
call print_error("boundaries:boundary_specific()" &
, "Wrong left Y boundary type!")
else
call print_error("boundaries:boundary_specific()" &
, "Wrong right Y boundary type!")
end if
end select
#if NDIMS == 3
case(3)
! prepare indices for the boundaries
!
if (ic == 1) then
il = 1
iu = im / 2 - 1
else
il = im / 2
iu = im
end if
if (jc == 1) then
jl = 1
ju = jm / 2 - 1
else
jl = jm / 2
ju = jm
end if
! apply selected boundary condition
!
select case(bnd_type(nc,kc))
! "open" boundary conditions
!
case(bnd_open)
if (kc == 1) then
do k = kbl, 1, -1
qn(1:nv,il:iu,jl:ju,k) = qn(1:nv,il:iu,jl:ju,kb)
end do
else
do k = keu, km
qn(1:nv,il:iu,jl:ju,k) = qn(1:nv,il:iu,jl:ju,ke)
end do
end if
! "reflective" boundary conditions
!
case(bnd_reflective)
if (kc == 1) then
do k = 1, ng
kt = kb - k
ks = kbl + k
qn(1:nv,il:iu,jl:ju,kt) = qn(1:nv,il:iu,jl:ju,ks)
qn(ivz ,il:iu,jl:ju,kt) = - qn(ivz ,il:iu,jl:ju,ks)
end do
else
do k = 1, ng
kt = ke + k
ks = keu - k
qn(1:nv,il:iu,jl:ju,kt) = qn(1:nv,il:iu,jl:ju,ks)
qn(ivz ,il:iu,jl:ju,kt) = - qn(ivz ,il:iu,jl:ju,ks)
end do
end if
! wrong boundary conditions
!
case default
if (kc == 1) then
call print_error("boundaries:boundary_specific()" &
, "Wrong left Z boundary type!")
else
call print_error("boundaries:boundary_specific()" &
, "Wrong right Z boundary type!")
end if
end select
#endif /* NDIMS == 3 */
end select
!-------------------------------------------------------------------------------
!
end subroutine block_boundary_specific
#if NDIMS == 3
!
!===============================================================================
!
! BLOCK FACE UPDATE SUBROUTINES
!
!===============================================================================
!
!===============================================================================
!
! subroutine BLOCK_FACE_COPY:
! --------------------------
!
! Subroutine returns the face boundary region copied from the provided
! input variable array.
!
! Arguments:
!
! nc - the face direction;
! ic, jc, kc - the corner position;
! qn - the input neighbor variable array;
! qb - the output face boundary array;
!
!===============================================================================
!
subroutine block_face_copy(nc, ic, jc, kc, qn, qb)
! import external procedures and variables
!
use coordinates , only : ng
use coordinates , only : in , jn , kn
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use coordinates , only : ibu, jbu, kbu
use coordinates , only : iel, jel, kel
use equations , only : nv
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer , intent(in) :: nc, ic, jc, kc
real(kind=8), dimension(1:nv,1:im,1:jm,1:km), intent(in) :: qn
real(kind=8), dimension( : , : , : , : ), intent(out) :: qb
! local indices
!
integer :: ih, jh, kh
integer :: il, jl, kl
integer :: iu, ju, ku
!
!-------------------------------------------------------------------------------
!
! process depending on the direction
!
select case(nc)
case(1)
! calculate half sizes
!
jh = jn / 2
kh = kn / 2
! prepare indices for the face region
!
if (ic == 1) then
il = iel
iu = ie
else
il = ib
iu = ibu
end if
if (jc == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
if (kc == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
! copy the face region to the output array
!
qb(1:nv,1:ng,1:jh,1:kh) = qn(1:nv,il:iu,jl:ju,kl:ku)
case(2)
! calculate half sizes
!
ih = in / 2
kh = kn / 2
! prepare indices for the face region
!
if (ic == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (jc == 1) then
jl = jel
ju = je
else
jl = jb
ju = jbu
end if
if (kc == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
! copy the face region to the output array
!
qb(1:nv,1:ih,1:ng,1:kh) = qn(1:nv,il:iu,jl:ju,kl:ku)
case(3)
! calculate half sizes
!
ih = in / 2
jh = jn / 2
! prepare indices for the face region
!
if (ic == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (jc == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
if (kc == 1) then
kl = kel
ku = ke
else
kl = kb
ku = kbu
end if
! copy the face region to the output array
!
qb(1:nv,1:ih,1:jh,1:ng) = qn(1:nv,il:iu,jl:ju,kl:ku)
end select
!-------------------------------------------------------------------------------
!
end subroutine block_face_copy
!
!===============================================================================
!
! subroutine BLOCK_FACE_RESTRICT:
! ------------------------------
!
! Subroutine returns the face boundary region restricted from the provided
! input variable array.
!
! Arguments:
!
! nc - the face direction;
! ic, jc, kc - the corner position;
! qn - the input neighbor variable array;
! qb - the output face boundary array;
!
!===============================================================================
!
subroutine block_face_restrict(nc, ic, jc, kc, qn, qb)
! import external procedures and variables
!
use coordinates , only : ng, nd
use coordinates , only : in
use coordinates , only : in , jn , kn
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use equations , only : nv
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer , intent(in) :: nc, ic, jc, kc
real(kind=8), dimension(1:nv,1:im,1:jm,1:km), intent(in) :: qn
real(kind=8), dimension( : , : , : , : ), intent(out) :: qb
! local variables
!
integer :: ih, jh, kh
integer :: il, jl, kl
integer :: ip, jp, kp
integer :: iu, ju, ku
!
!-------------------------------------------------------------------------------
!
! process depending on the direction
!
select case(nc)
case(1)
! calculate half sizes
!
jh = jn / 2
kh = kn / 2
! prepare indices for the face region
!
if (ic == 1) then
il = ie - nd + 1
ip = il + 1
iu = ie
else
il = ib
ip = il + 1
iu = ib + nd - 1
end if
jl = jb
jp = jl + 1
ju = je
kl = kb
kp = kl + 1
ku = ke
! restrict the face region to the output array
!
qb(1:nv,1:ng,1:jh,1:kh) = &
1.25d-01 * (((qn(1:nv,il:iu:2,jl:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kp:ku:2)) &
+ (qn(1:nv,il:iu:2,jl:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kl:ku:2))) &
+ ((qn(1:nv,il:iu:2,jp:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kl:ku:2)) &
+ (qn(1:nv,il:iu:2,jp:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kp:ku:2))))
case(2)
! calculate half sizes
!
ih = in / 2
kh = kn / 2
! prepare indices for the face region
!
il = ib
ip = il + 1
iu = ie
if (jc == 1) then
jl = je - nd + 1
jp = jl + 1
ju = je
else
jl = jb
jp = jl + 1
ju = jb + nd - 1
end if
kl = kb
kp = kl + 1
ku = ke
! restrict the face region to the output array
!
qb(1:nv,1:ih,1:ng,1:kh) = &
1.25d-01 * (((qn(1:nv,il:iu:2,jl:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kp:ku:2)) &
+ (qn(1:nv,il:iu:2,jl:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kl:ku:2))) &
+ ((qn(1:nv,il:iu:2,jp:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kl:ku:2)) &
+ (qn(1:nv,il:iu:2,jp:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kp:ku:2))))
case(3)
! calculate half sizes
!
ih = in / 2
jh = jn / 2
! prepare indices for the face region
!
il = ib
ip = il + 1
iu = ie
jl = jb
jp = jl + 1
ju = je
if (kc == 1) then
kl = ke - nd + 1
kp = kl + 1
ku = ke
else
kl = kb
kp = kl + 1
ku = kb + nd - 1
end if
! restrict the face region to the output array
!
qb(1:nv,1:ih,1:jh,1:ng) = &
1.25d-01 * (((qn(1:nv,il:iu:2,jl:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kp:ku:2)) &
+ (qn(1:nv,il:iu:2,jl:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kl:ku:2))) &
+ ((qn(1:nv,il:iu:2,jp:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kl:ku:2)) &
+ (qn(1:nv,il:iu:2,jp:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kp:ku:2))))
end select
!-------------------------------------------------------------------------------
!
end subroutine block_face_restrict
!
!===============================================================================
!
! subroutine BLOCK_FACE_PROLONG:
! -----------------------------
!
! Subroutine returns the face boundary region prolongated from the provided
! input variable array.
!
! Arguments:
!
! nc - the face direction;
! ic, jc, kc - the corner position;
! qn - the input neighbor variable array;
! qb - the output face boundary array;
!
!===============================================================================
!
subroutine block_face_prolong(nc, ic, jc, kc, qn, qb)
! import external procedures and variables
!
use coordinates , only : ng, nh
use coordinates , only : in
use coordinates , only : in , jn , kn
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use equations , only : nv
use interpolations , only : limiter
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer , intent(in) :: nc, ic, jc, kc
real(kind=8), dimension(1:nv,1:im,1:jm,1:km), intent(in) :: qn
real(kind=8), dimension( : , : , : , : ), intent(out) :: qb
! local variables
!
integer :: i, j, k, p
integer :: ih, jh, kh
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: is, js, ks
integer :: it, jt, kt
integer :: im1, jm1, km1
integer :: ip1, jp1, kp1
real(kind=8) :: dql, dqr
real(kind=8) :: dqx, dqy, dqz
real(kind=8) :: dq1, dq2, dq3, dq4
!
!-------------------------------------------------------------------------------
!
! process depending on the direction
!
select case(nc)
case(1)
! calculate half sizes
!
jh = jn / 2
kh = kn / 2
! prepare indices for the face region
!
if (ic == 1) then
il = ie - nh + 1
iu = ie
else
il = ib
iu = ib + nh - 1
end if
if (jc == 0) then
jl = jb
ju = jb + jh + nh - 1
else
jl = je - jh - nh + 1
ju = je
end if
if (kc == 0) then
kl = kb
ku = kb + kh + nh - 1
else
kl = ke - kh - nh + 1
ku = ke
end if
case(2)
! calculate half sizes
!
ih = in / 2
kh = kn / 2
! prepare indices for the face region
!
if (ic == 0) then
il = ib
iu = ib + ih + nh - 1
else
il = ie - ih - nh + 1
iu = ie
end if
if (jc == 1) then
jl = je - nh + 1
ju = je
else
jl = jb
ju = jb + nh - 1
end if
if (kc == 0) then
kl = kb
ku = kb + kh + nh - 1
else
kl = ke - kh - nh + 1
ku = ke
end if
case(3)
! calculate half sizes
!
ih = in / 2
jh = jn / 2
! prepare indices for the face region
!
if (ic == 0) then
il = ib
iu = ib + ih + nh - 1
else
il = ie - ih - nh + 1
iu = ie
end if
if (jc == 0) then
jl = jb
ju = jb + jh + nh - 1
else
jl = je - jh - nh + 1
ju = je
end if
if (kc == 1) then
kl = ke - nh + 1
ku = ke
else
kl = kb
ku = kb + nh - 1
end if
end select
! iterate over all face region cells
!
do k = kl, ku
km1 = k - 1
kp1 = k + 1
ks = 2 * (k - kl) + 1
kt = ks + 1
do j = jl, ju
jm1 = j - 1
jp1 = j + 1
js = 2 * (j - jl) + 1
jt = js + 1
do i = il, iu
im1 = i - 1
ip1 = i + 1
is = 2 * (i - il) + 1
it = is + 1
! iterate over all variables
!
do p = 1, nv
! calculate limited derivatives in all directions
!
dql = qn(p,i ,j,k) - qn(p,im1,j,k)
dqr = qn(p,ip1,j,k) - qn(p,i ,j,k)
dqx = limiter(0.25d+00, dql, dqr)
dql = qn(p,i,j ,k) - qn(p,i,jm1,k)
dqr = qn(p,i,jp1,k) - qn(p,i,j ,k)
dqy = limiter(0.25d+00, dql, dqr)
dql = qn(p,i,j,k ) - qn(p,i,j,km1)
dqr = qn(p,i,j,kp1) - qn(p,i,j,k )
dqz = limiter(0.25d+00, dql, dqr)
! calculate the derivative terms
!
dq1 = dqx + dqy + dqz
dq2 = dqx - dqy - dqz
dq3 = dqx - dqy + dqz
dq4 = dqx + dqy - dqz
! prolong the face region to the output array
!
qb(p,is,js,ks) = qn(p,i,j,k) - dq1
qb(p,it,js,ks) = qn(p,i,j,k) + dq2
qb(p,is,jt,ks) = qn(p,i,j,k) - dq3
qb(p,it,jt,ks) = qn(p,i,j,k) + dq4
qb(p,is,js,kt) = qn(p,i,j,k) - dq4
qb(p,it,js,kt) = qn(p,i,j,k) + dq3
qb(p,is,jt,kt) = qn(p,i,j,k) - dq2
qb(p,it,jt,kt) = qn(p,i,j,k) + dq1
end do ! q = 1, nv
end do ! i = il, iu
end do ! j = jl, ju
end do ! k = kl, ku
!-------------------------------------------------------------------------------
!
end subroutine block_face_prolong
#endif /* NDIMS == 3 */
!
!===============================================================================
!
! BLOCK EDGE UPDATE SUBROUTINES
!
!===============================================================================
!
!===============================================================================
!
! subroutine BLOCK_EDGE_COPY:
! --------------------------
!
! Subroutine returns the edge boundary region by copying the corresponding
! region from the provided input variable array.
!
! Arguments:
!
! nc - the edge direction;
! ic, jc, kc - the corner position;
! qn - the input neighbor variable array;
! qb - the output edge boundary array;
!
!===============================================================================
!
subroutine block_edge_copy(nc, ic, jc, kc, qn, qb)
! import external procedures and variables
!
use coordinates , only : ng
use coordinates , only : in , jn , kn
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use coordinates , only : ibu, jbu, kbu
use coordinates , only : iel, jel, kel
use equations , only : nv
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer , intent(in) :: nc, ic, jc, kc
real(kind=8), dimension(1:nv,1:im,1:jm,1:km), intent(in) :: qn
real(kind=8), dimension( : , : , : , : ), intent(out) :: qb
! local indices
!
integer :: ih, jh, kh
integer :: il, jl, kl
integer :: iu, ju, ku
!
!-------------------------------------------------------------------------------
!
! process depending on the direction
!
select case(nc)
case(1)
! calculate half size
!
ih = in / 2
! prepare indices for the edge region
!
if (ic == 1) then
il = ib
iu = ib + ih - 1
else
il = ie - ih + 1
iu = ie
end if
if (jc == 1) then
jl = jel
ju = je
else
jl = jb
ju = jbu
end if
#if NDIMS == 3
if (kc == 1) then
kl = kel
ku = ke
else
kl = kb
ku = kbu
end if
#endif /* NDIMS == 3 */
! copy the edge region to the output array
!
#if NDIMS == 2
qb(1:nv,1:ih,1:ng,1:km) = qn(1:nv,il:iu,jl:ju, 1:km)
#endif /* NDIMS == 2 */
#if NDIMS == 3
qb(1:nv,1:ih,1:ng,1:ng) = qn(1:nv,il:iu,jl:ju,kl:ku)
#endif /* NDIMS == 3 */
case(2)
! calculate half size
!
jh = jn / 2
! prepare indices for the edge region
!
if (ic == 1) then
il = iel
iu = ie
else
il = ib
iu = ibu
end if
if (jc == 1) then
jl = jb
ju = jb + jh - 1
else
jl = je - jh + 1
ju = je
end if
#if NDIMS == 3
if (kc == 1) then
kl = kb
ku = kbu
else
kl = kel
ku = ke
end if
#endif /* NDIMS == 3 */
! copy the edge region to the output array
!
#if NDIMS == 2
qb(1:nv,1:ng,1:jh,1:km) = qn(1:nv,il:iu,jl:ju, 1:km)
#endif /* NDIMS == 2 */
#if NDIMS == 3
qb(1:nv,1:ng,1:jh,1:ng) = qn(1:nv,il:iu,jl:ju,kl:ku)
#endif /* NDIMS == 3 */
#if NDIMS == 3
case(3)
! calculate half size
!
kh = kn / 2
! prepare source edge region indices
!
if (ic == 1) then
il = iel
iu = ie
else
il = ib
iu = ibu
end if
if (jc == 1) then
jl = jel
ju = je
else
jl = jb
ju = jbu
end if
if (kc == 1) then
kl = kb
ku = kb + kh - 1
else
kl = ke - kh + 1
ku = ke
end if
! copy the edge region to the output array
!
qb(1:nv,1:ng,1:ng,1:kh) = qn(1:nv,il:iu,jl:ju,kl:ku)
#endif /* NDIMS == 3 */
end select
!-------------------------------------------------------------------------------
!
end subroutine block_edge_copy
!
!===============================================================================
!
! subroutine BLOCK_EDGE_RESTRICT:
! ------------------------------
!
! Subroutine returns the edge boundary region by restricting the corresponding
! region from the provided input variable array.
!
! Arguments:
!
! nc - the edge direction;
! ic, jc, kc - the corner position;
! qn - the input neighbor variable array;
! qb - the output edge boundary array;
!
!===============================================================================
!
subroutine block_edge_restrict(nc, ic, jc, kc, qn, qb)
! import external procedures and variables
!
use coordinates , only : ng, nd
use coordinates , only : in
use coordinates , only : in , jn , kn
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use equations , only : nv
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer , intent(in) :: nc, ic, jc, kc
real(kind=8), dimension(1:nv,1:im,1:jm,1:km), intent(in) :: qn
real(kind=8), dimension( : , : , : , : ), intent(out) :: qb
! local variables
!
integer :: ih, jh, kh
integer :: il, jl, kl
integer :: ip, jp, kp
integer :: iu, ju, ku
!
!-------------------------------------------------------------------------------
!
! process depending on the direction
!
select case(nc)
case(1)
! calculate half size
!
ih = in / 2
! prepare indices for the edge region
!
il = ib
ip = il + 1
iu = ie
if (jc == 1) then
jl = je - nd + 1
jp = jl + 1
ju = je
else
jl = jb
jp = jl + 1
ju = jb + nd - 1
end if
#if NDIMS == 3
if (kc == 1) then
kl = ke - nd + 1
kp = kl + 1
ku = ke
else
kl = kb
kp = kl + 1
ku = kb + nd - 1
end if
#endif /* NDIMS == 3 */
! restrict the edge region to the output array
!
#if NDIMS == 2
qb(1:nv,1:ih,1:ng,1:km) = &
2.50d-01 * ((qn(1:nv,il:iu:2,jl:ju:2, 1:km ) &
+ qn(1:nv,ip:iu:2,jp:ju:2, 1:km )) &
+ (qn(1:nv,il:iu:2,jp:ju:2, 1:km ) &
+ qn(1:nv,ip:iu:2,jl:ju:2, 1:km )))
#endif /* NDIMS == 2 */
#if NDIMS == 3
qb(1:nv,1:ih,1:ng,1:ng) = &
1.25d-01 * (((qn(1:nv,il:iu:2,jl:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kp:ku:2)) &
+ (qn(1:nv,il:iu:2,jl:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kl:ku:2))) &
+ ((qn(1:nv,il:iu:2,jp:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kl:ku:2)) &
+ (qn(1:nv,il:iu:2,jp:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kp:ku:2))))
#endif /* NDIMS == 3 */
case(2)
! calculate half size
!
jh = jn / 2
! prepare indices for the edge region
!
if (ic == 1) then
il = ie - nd + 1
ip = il + 1
iu = ie
else
il = ib
ip = il + 1
iu = ib + nd - 1
end if
jl = jb
jp = jl + 1
ju = je
#if NDIMS == 3
if (kc == 1) then
kl = ke - nd + 1
kp = kl + 1
ku = ke
else
kl = kb
kp = kl + 1
ku = kb + nd - 1
end if
#endif /* NDIMS == 3 */
! restrict the edge region to the output array
!
#if NDIMS == 2
qb(1:nv,1:ng,1:jh,1:km) = &
2.50d-01 * ((qn(1:nv,il:iu:2,jl:ju:2, 1:km ) &
+ qn(1:nv,ip:iu:2,jp:ju:2, 1:km )) &
+ (qn(1:nv,il:iu:2,jp:ju:2, 1:km ) &
+ qn(1:nv,ip:iu:2,jl:ju:2, 1:km )))
#endif /* NDIMS == 2 */
#if NDIMS == 3
qb(1:nv,1:ng,1:jh,1:ng) = &
1.25d-01 * (((qn(1:nv,il:iu:2,jl:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kp:ku:2)) &
+ (qn(1:nv,il:iu:2,jl:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kl:ku:2))) &
+ ((qn(1:nv,il:iu:2,jp:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kl:ku:2)) &
+ (qn(1:nv,il:iu:2,jp:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kp:ku:2))))
#endif /* NDIMS == 3 */
#if NDIMS == 3
case(3)
! calculate half size
!
kh = kn / 2
! prepare indices for the edge region
!
if (ic == 1) then
il = ie - nd + 1
ip = il + 1
iu = ie
else
il = ib
ip = il + 1
iu = ib + nd - 1
end if
if (jc == 1) then
jl = je - nd + 1
jp = jl + 1
ju = je
else
jl = jb
jp = jl + 1
ju = jb + nd - 1
end if
kl = kb
kp = kl + 1
ku = ke
! restrict the edge region to the output array
!
qb(1:nv,1:ng,1:ng,1:kh) = &
1.25d-01 * (((qn(1:nv,il:iu:2,jl:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kp:ku:2)) &
+ (qn(1:nv,il:iu:2,jl:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kl:ku:2))) &
+ ((qn(1:nv,il:iu:2,jp:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kl:ku:2)) &
+ (qn(1:nv,il:iu:2,jp:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kp:ku:2))))
#endif /* NDIMS == 3 */
end select
!-------------------------------------------------------------------------------
!
end subroutine block_edge_restrict
!
!===============================================================================
!
! subroutine BLOCK_EDGE_PROLONG:
! -----------------------------
!
! Subroutine returns the edge boundary region by prolongating
! the corresponding region from the provided input variable array.
!
! Arguments:
!
! nc - the edge direction;
! ic, jc, kc - the corner position;
! qn - the input neighbor variable array;
! qb - the output edge boundary array;
!
!===============================================================================
!
subroutine block_edge_prolong(nc, ic, jc, kc, qn, qb)
! import external procedures and variables
!
use coordinates , only : ng, nh
use coordinates , only : in
use coordinates , only : in , jn , kn
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use equations , only : nv
use interpolations , only : limiter
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer , intent(in) :: nc, ic, jc, kc
real(kind=8), dimension(1:nv,1:im,1:jm,1:km), intent(in) :: qn
real(kind=8), dimension( : , : , : , : ), intent(out) :: qb
! local variables
!
integer :: i, j, k, p
integer :: ih, jh, kh
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: is, js, ks
integer :: it, jt, kt
integer :: im1, jm1, km1
integer :: ip1, jp1, kp1
real(kind=8) :: dql, dqr
real(kind=8) :: dqx, dqy, dqz
real(kind=8) :: dq1, dq2, dq3, dq4
!
!-------------------------------------------------------------------------------
!
! process depending on the direction
!
select case(nc)
case(1)
! calculate half size
!
ih = in / 2
! prepare indices for the edge region
!
if (ic == 0) then
il = ib
iu = ib + ih + nh - 1
else
il = ie - ih - nh + 1
iu = ie
end if
if (jc == 1) then
jl = je - nh + 1
ju = je
else
jl = jb
ju = jb + nh - 1
end if
#if NDIMS == 3
if (kc == 1) then
kl = ke - nh + 1
ku = ke
else
kl = kb
ku = kb + nh - 1
end if
#endif /* NDIMS == 3 */
case(2)
! calculate half size
!
jh = jn / 2
! prepare indices for the edge region
!
if (ic == 1) then
il = ie - nh + 1
iu = ie
else
il = ib
iu = ib + nh - 1
end if
if (jc == 0) then
jl = jb
ju = jb + jh + nh - 1
else
jl = je - jh - nh + 1
ju = je
end if
#if NDIMS == 3
if (kc == 1) then
kl = ke - nh + 1
ku = ke
else
kl = kb
ku = kb + nh - 1
end if
#endif /* NDIMS == 3 */
#if NDIMS == 3
case(3)
! calculate half size
!
kh = kn / 2
! prepare indices for the edge region
!
if (ic == 1) then
il = ie - nh + 1
iu = ie
else
il = ib
iu = ib + nh - 1
end if
if (jc == 1) then
jl = je - nh + 1
ju = je
else
jl = jb
ju = jb + nh - 1
end if
if (kc == 0) then
kl = kb
ku = kb + kh + nh - 1
else
kl = ke - kh - nh + 1
ku = ke
end if
#endif /* NDIMS == 3 */
end select
! iterate over all edge region cells
!
#if NDIMS == 2
do k = 1, km
kt = 1
#endif /* NDIMS == 2 */
#if NDIMS == 3
do k = kl, ku
km1 = k - 1
kp1 = k + 1
ks = 2 * (k - kl) + 1
kt = ks + 1
#endif /* NDIMS == 3 */
do j = jl, ju
jm1 = j - 1
jp1 = j + 1
js = 2 * (j - jl) + 1
jt = js + 1
do i = il, iu
im1 = i - 1
ip1 = i + 1
is = 2 * (i - il) + 1
it = is + 1
! iterate over all variables
!
do p = 1, nv
! calculate limited derivatives in all directions
!
dql = qn(p,i ,j,k) - qn(p,im1,j,k)
dqr = qn(p,ip1,j,k) - qn(p,i ,j,k)
dqx = limiter(0.25d+00, dql, dqr)
dql = qn(p,i,j ,k) - qn(p,i,jm1,k)
dqr = qn(p,i,jp1,k) - qn(p,i,j ,k)
dqy = limiter(0.25d+00, dql, dqr)
#if NDIMS == 3
dql = qn(p,i,j,k ) - qn(p,i,j,km1)
dqr = qn(p,i,j,kp1) - qn(p,i,j,k )
dqz = limiter(0.25d+00, dql, dqr)
#endif /* NDIMS == 3 */
#if NDIMS == 2
! calculate the derivative terms
!
dq1 = dqx + dqy
dq2 = dqx - dqy
! prolong the edge region to the output array
!
qb(p,is,js,k ) = qn(p,i,j,k) - dq1
qb(p,it,js,k ) = qn(p,i,j,k) + dq2
qb(p,is,jt,k ) = qn(p,i,j,k) - dq2
qb(p,it,jt,k ) = qn(p,i,j,k) + dq1
#endif /* NDIMS == 2 */
#if NDIMS == 3
! calculate the derivative terms
!
dq1 = dqx + dqy + dqz
dq2 = dqx - dqy - dqz
dq3 = dqx - dqy + dqz
dq4 = dqx + dqy - dqz
! prolong the edge region to the output array
!
qb(p,is,js,ks) = qn(p,i,j,k) - dq1
qb(p,it,js,ks) = qn(p,i,j,k) + dq2
qb(p,is,jt,ks) = qn(p,i,j,k) - dq3
qb(p,it,jt,ks) = qn(p,i,j,k) + dq4
qb(p,is,js,kt) = qn(p,i,j,k) - dq4
qb(p,it,js,kt) = qn(p,i,j,k) + dq3
qb(p,is,jt,kt) = qn(p,i,j,k) - dq2
qb(p,it,jt,kt) = qn(p,i,j,k) + dq1
#endif /* NDIMS == 3 */
end do ! q = 1, nv
end do ! i = il, iu
end do ! j = jl, ju
end do ! k = kl, ku
!-------------------------------------------------------------------------------
!
end subroutine block_edge_prolong
!
!===============================================================================
!
! BLOCK CORNER UPDATE SUBROUTINES
!
!===============================================================================
!
!===============================================================================
!
! subroutine BLOCK_CORNER_COPY:
! ----------------------------
!
! Subroutine returns the corner boundary region by copying the corresponding
! region from the provided input variable array.
!
! Arguments:
!
! ic, jc, kc - the corner position;
! qn - the input neighbor variable array;
! qb - the output corner boundary array;
!
!===============================================================================
!
subroutine block_corner_copy(ic, jc, kc, qn, qb)
! import external procedures and variables
!
use coordinates , only : ng
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use coordinates , only : ibu, jbu, kbu
use coordinates , only : iel, jel, kel
use equations , only : nv
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer , intent(in) :: ic, jc, kc
real(kind=8), dimension(1:nv,1:im,1:jm,1:km), intent(in) :: qn
#if NDIMS == 2
real(kind=8), dimension(1:nv,1:ng,1:ng,1:km), intent(out) :: qb
#endif /* NDIMS == 2 */
#if NDIMS == 3
real(kind=8), dimension(1:nv,1:ng,1:ng,1:ng), intent(out) :: qb
#endif /* NDIMS == 3 */
! local indices
!
integer :: il, jl, kl
integer :: iu, ju, ku
!
!-------------------------------------------------------------------------------
!
! prepare indices for the corner region
!
if (ic == 1) then
il = iel
iu = ie
else
il = ib
iu = ibu
end if
if (jc == 1) then
jl = jel
ju = je
else
jl = jb
ju = jbu
end if
#if NDIMS == 3
if (kc == 1) then
kl = kel
ku = ke
else
kl = kb
ku = kbu
end if
#endif /* NDIMS == 3 */
! copy the corner region to the output array
!
#if NDIMS == 2
qb(1:nv,1:ng,1:ng,1:km) = qn(1:nv,il:iu,jl:ju, 1:km)
#endif /* NDIMS == 2 */
#if NDIMS == 3
qb(1:nv,1:ng,1:ng,1:ng) = qn(1:nv,il:iu,jl:ju,kl:ku)
#endif /* NDIMS == 3 */
!-------------------------------------------------------------------------------
!
end subroutine block_corner_copy
!
!===============================================================================
!
! subroutine BLOCK_CORNER_RESTRICT:
! --------------------------------
!
! Subroutine returns the corner boundary region by restricting
! the corresponding region from the provided input variable array.
!
! Arguments:
!
! ic, jc, kc - the corner position;
! qn - the input neighbor variable array;
! qb - the output corner boundary array;
!
!===============================================================================
!
subroutine block_corner_restrict(ic, jc, kc, qn, qb)
! import external procedures and variables
!
use coordinates , only : ng, nd
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use equations , only : nv
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer , intent(in) :: ic, jc, kc
real(kind=8), dimension(1:nv,1:im,1:jm,1:km), intent(in) :: qn
#if NDIMS == 2
real(kind=8), dimension(1:nv,1:ng,1:ng,1:km), intent(out) :: qb
#endif /* NDIMS == 2 */
#if NDIMS == 3
real(kind=8), dimension(1:nv,1:ng,1:ng,1:ng), intent(out) :: qb
#endif /* NDIMS == 3 */
! local variables
!
integer :: il, jl, kl
integer :: ip, jp, kp
integer :: iu, ju, ku
!
!-------------------------------------------------------------------------------
!
! prepare indices for the corner region
!
if (ic == 1) then
il = ie - nd + 1
ip = il + 1
iu = ie
else
il = ib
ip = il + 1
iu = ib + nd - 1
end if
if (jc == 1) then
jl = je - nd + 1
jp = jl + 1
ju = je
else
jl = jb
jp = jl + 1
ju = jb + nd - 1
end if
#if NDIMS == 3
if (kc == 1) then
kl = ke - nd + 1
kp = kl + 1
ku = ke
else
kl = kb
kp = kl + 1
ku = kb + nd - 1
end if
#endif /* NDIMS == 3 */
! restrict the corner region to the output array
!
#if NDIMS == 2
qb(1:nv,1:ng,1:ng,1:km) = &
2.50d-01 * ((qn(1:nv,il:iu:2,jl:ju:2, 1:km ) &
+ qn(1:nv,ip:iu:2,jp:ju:2, 1:km )) &
+ (qn(1:nv,il:iu:2,jp:ju:2, 1:km ) &
+ qn(1:nv,ip:iu:2,jl:ju:2, 1:km )))
#endif /* NDIMS == 2 */
#if NDIMS == 3
qb(1:nv,1:ng,1:ng,1:ng) = &
1.25d-01 * (((qn(1:nv,il:iu:2,jl:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kp:ku:2)) &
+ (qn(1:nv,il:iu:2,jl:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jp:ju:2,kl:ku:2))) &
+ ((qn(1:nv,il:iu:2,jp:ju:2,kp:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kl:ku:2)) &
+ (qn(1:nv,il:iu:2,jp:ju:2,kl:ku:2) &
+ qn(1:nv,ip:iu:2,jl:ju:2,kp:ku:2))))
#endif /* NDIMS == 3 */
!-------------------------------------------------------------------------------
!
end subroutine block_corner_restrict
!
!===============================================================================
!
! subroutine BLOCK_CORNER_PROLONG:
! -------------------------------
!
! Subroutine returns the corner boundary region by prolongating
! the corresponding region from the provided input variable array.
!
! Arguments:
!
! ic, jc, kc - the corner position;
! qn - the input neighbor variable array;
! qb - the output corner boundary array;
!
!===============================================================================
!
subroutine block_corner_prolong(ic, jc, kc, qn, qb)
! import external procedures and variables
!
use coordinates , only : ng, nh
use coordinates , only : im , jm , km
use coordinates , only : ib , jb , kb
use coordinates , only : ie , je , ke
use equations , only : nv
use interpolations , only : limiter
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer , intent(in) :: ic, jc, kc
real(kind=8), dimension(1:nv,1:im,1:jm,1:km), intent(in) :: qn
#if NDIMS == 2
real(kind=8), dimension(1:nv,1:ng,1:ng,1:km), intent(out) :: qb
#endif /* NDIMS == 2 */
#if NDIMS == 3
real(kind=8), dimension(1:nv,1:ng,1:ng,1:ng), intent(out) :: qb
#endif /* NDIMS == 3 */
! local variables
!
integer :: i, j, k, p
integer :: il, jl, kl
integer :: iu, ju, ku
integer :: is, js, ks
integer :: it, jt, kt
integer :: im1, jm1, km1
integer :: ip1, jp1, kp1
real(kind=8) :: dql, dqr
real(kind=8) :: dqx, dqy, dqz
real(kind=8) :: dq1, dq2, dq3, dq4
!
!-------------------------------------------------------------------------------
!
! prepare indices for the corner region
!
if (ic == 1) then
il = ie - nh + 1
iu = ie
else
il = ib
iu = ib + nh - 1
end if
if (jc == 1) then
jl = je - nh + 1
ju = je
else
jl = jb
ju = jb + nh - 1
end if
#if NDIMS == 3
if (kc == 1) then
kl = ke - nh + 1
ku = ke
else
kl = kb
ku = kb + nh - 1
end if
#endif /* NDIMS == 3 */
! iterate over all corner region cells
!
#if NDIMS == 2
do k = 1, km
kt = 1
#endif /* NDIMS == 2 */
#if NDIMS == 3
do k = kl, ku
km1 = k - 1
kp1 = k + 1
ks = 2 * (k - kl) + 1
kt = ks + 1
#endif /* NDIMS == 3 */
do j = jl, ju
jm1 = j - 1
jp1 = j + 1
js = 2 * (j - jl) + 1
jt = js + 1
do i = il, iu
im1 = i - 1
ip1 = i + 1
is = 2 * (i - il) + 1
it = is + 1
! iterate over all variables
!
do p = 1, nv
! calculate limited derivatives in all directions
!
dql = qn(p,i ,j,k) - qn(p,im1,j,k)
dqr = qn(p,ip1,j,k) - qn(p,i ,j,k)
dqx = limiter(0.25d+00, dql, dqr)
dql = qn(p,i,j ,k) - qn(p,i,jm1,k)
dqr = qn(p,i,jp1,k) - qn(p,i,j ,k)
dqy = limiter(0.25d+00, dql, dqr)
#if NDIMS == 3
dql = qn(p,i,j,k ) - qn(p,i,j,km1)
dqr = qn(p,i,j,kp1) - qn(p,i,j,k )
dqz = limiter(0.25d+00, dql, dqr)
#endif /* NDIMS == 3 */
#if NDIMS == 2
! calculate the derivative terms
!
dq1 = dqx + dqy
dq2 = dqx - dqy
! prolong the corner region to the output array
!
qb(p,is,js,k ) = qn(p,i,j,k) - dq1
qb(p,it,js,k ) = qn(p,i,j,k) + dq2
qb(p,is,jt,k ) = qn(p,i,j,k) - dq2
qb(p,it,jt,k ) = qn(p,i,j,k) + dq1
#endif /* NDIMS == 2 */
#if NDIMS == 3
! calculate the derivative terms
!
dq1 = dqx + dqy + dqz
dq2 = dqx - dqy - dqz
dq3 = dqx - dqy + dqz
dq4 = dqx + dqy - dqz
! prolong the corner region to the output array
!
qb(p,is,js,ks) = qn(p,i,j,k) - dq1
qb(p,it,js,ks) = qn(p,i,j,k) + dq2
qb(p,is,jt,ks) = qn(p,i,j,k) - dq3
qb(p,it,jt,ks) = qn(p,i,j,k) + dq4
qb(p,is,js,kt) = qn(p,i,j,k) - dq4
qb(p,it,js,kt) = qn(p,i,j,k) + dq3
qb(p,is,jt,kt) = qn(p,i,j,k) - dq2
qb(p,it,jt,kt) = qn(p,i,j,k) + dq1
#endif /* NDIMS == 3 */
end do ! q = 1, nv
end do ! i = il, iu
end do ! j = jl, ju
end do ! k = kl, ku
!-------------------------------------------------------------------------------
!
end subroutine block_corner_prolong
!
!===============================================================================
!
! BLOCK FLUX UPDATE SUBROUTINES
!
!===============================================================================
!
!===============================================================================
!
! subroutine BLOCK_UPDATE_FLUX:
! ----------------------------
!
! Subroutine updates the boundary flux from the provided flux array.
!
! Arguments:
!
! nc - the edge direction;
! ic, jc, kc - the corner position;
! fn - the correcting flux array;
! fb - the corrected flux array;
!
!===============================================================================
!
subroutine block_update_flux(nc, ic, jc, kc, fn, fb)
! import external procedures and variables
!
use blocks , only : block_data
use coordinates , only : in, jn, kn
use equations , only : nv
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
integer , intent(in) :: ic, jc, kc
integer , intent(in) :: nc
real(kind=8), dimension(:,:,:), intent(in) :: fn
real(kind=8), dimension(:,:,:), intent(inout) :: fb
!
!-------------------------------------------------------------------------------
!
! update fluxes for each direction separately
!
select case(nc)
! X direction
!
case(1)
#if NDIMS == 2
! average fluxes from higher level neighbor
!
fb(1:nv,:,:) = (fn(1:nv,1:jn:2,1:kn) + fn(1:nv,2:jn:2,1:kn)) / 2.0d+00
#endif /* NDIMS == 2 */
#if NDIMS == 3
! average fluxes from higher level neighbor
!
fb(1:nv,:,:) = ((fn(1:nv,1:in:2,1:kn:2) + fn(1:nv,2:in:2,2:kn:2)) &
+ (fn(1:nv,1:in:2,2:kn:2) + fn(1:nv,2:in:2,1:kn:2))) &
/ 4.0d+00
#endif /* NDIMS == 3 */
! Y direction
!
case(2)
#if NDIMS == 2
! average fluxes from higher level neighbor
!
fb(1:nv,:,:) = (fn(1:nv,1:in:2,1:kn) + fn(1:nv,2:in:2,1:kn)) / 2.0d+00
#endif /* NDIMS == 2 */
#if NDIMS == 3
! average fluxes from higher level neighbor
!
fb(1:nv,:,:) = ((fn(1:nv,1:in:2,1:kn:2) + fn(1:nv,2:in:2,2:kn:2)) &
+ (fn(1:nv,1:in:2,2:kn:2) + fn(1:nv,2:in:2,1:kn:2))) &
/ 4.0d+00
#endif /* NDIMS == 3 */
#if NDIMS == 3
! Z direction
!
case(3)
! average fluxes from higher level neighbor
!
fb(1:nv,:,:) = ((fn(1:nv,1:in:2,1:jn:2) + fn(1:nv,2:in:2,2:jn:2)) &
+ (fn(1:nv,1:in:2,2:jn:2) + fn(1:nv,2:in:2,1:jn:2))) &
/ 4.0d+00
#endif /* NDIMS == 3 */
end select
!-------------------------------------------------------------------------------
!
end subroutine block_update_flux
!
!===============================================================================
!
! OTHER BOUNDARY SUBROUTINES
!
!===============================================================================
!
!===============================================================================
!
! subroutine UPDATE_GHOST_CELLS:
! -----------------------------
!
! Subroutine updates conservative variables in all ghost cells from
! already updated primitive variables.
!
!
!===============================================================================
!
subroutine update_ghost_cells()
! include external variables
!
use blocks , only : block_data, list_data
use coordinates , only : im , jm , km , in , jn , kn
use coordinates , only : ib , jb , kb , ie , je , ke
use coordinates , only : ibl, jbl, kbl, ieu, jeu, keu
use equations , only : nv
use equations , only : prim2cons
! local variables are not implicit by default
!
implicit none
! local variables
!
integer :: i, j, k
! local pointers
!
type(block_data), pointer :: pdata
!
!-------------------------------------------------------------------------------
!
! assign the pointer to the first block on the list
!
pdata => list_data
! scan all data blocks until the last is reached
!
do while(associated(pdata))
! update the X and Y boundary ghost cells
!
do k = 1, km
! update lower layers of the Y boundary
!
do j = 1, jbl
call prim2cons(im, pdata%q(1:nv,1:im,j,k), pdata%u(1:nv,1:im,j,k))
end do ! j = 1, jbl
! update upper layers of the Y boundary
!
do j = jeu, jm
call prim2cons(im, pdata%q(1:nv,1:im,j,k), pdata%u(1:nv,1:im,j,k))
end do ! j = jeu, jm
! update remaining left layers of the X boundary
!
do i = 1, ibl
call prim2cons(jn, pdata%q(1:nv,i,jb:je,k), pdata%u(1:nv,i,jb:je,k))
end do ! i = 1, ibl
! update remaining right layers of the X boundary
!
do i = ieu, im
call prim2cons(jn, pdata%q(1:nv,i,jb:je,k), pdata%u(1:nv,i,jb:je,k))
end do ! i = 1, ibl
end do ! k = 1, km
#if NDIMS == 3
! update the Z boundary ghost cells
!
do j = jb, je
! update the remaining front layers of the Z boundary
!
do k = 1, kbl
call prim2cons(in, pdata%q(1:nv,ib:ie,j,k), pdata%u(1:nv,ib:ie,j,k))
end do ! k = 1, kbl
! update the remaining back layers of the Z boundary
!
do k = keu, km
call prim2cons(in, pdata%q(1:nv,ib:ie,j,k), pdata%u(1:nv,ib:ie,j,k))
end do ! k = keu, km
end do ! j = jb, je
#endif /* NDIMS == 3 */
! assign the pointer to the next block on the list
!
pdata => pdata%next
end do ! data blocks
!-------------------------------------------------------------------------------
!
end subroutine update_ghost_cells
!===============================================================================
!
end module