!!******************************************************************************
!!
!! 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) 2008-2021 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: MESH - handling adaptive mesh structure
!!
!!******************************************************************************
!
module mesh
implicit none
! interface for the domain setup
!
abstract interface
subroutine setup_domain_iface(status)
integer, intent(out) :: status
end subroutine
end interface
! interfaces for the problem setup
!
abstract interface
subroutine setup_problem_iface(pdata)
use blocks, only : block_data
type(block_data), pointer, intent(inout) :: pdata
end subroutine
end interface
! pointer to the problem domain setup subroutine
!
procedure(setup_domain_iface) , pointer, save :: setup_domain => null()
! pointer to the problem initial setup subroutine
!
procedure(setup_problem_iface), pointer, save :: setup_problem => null()
! the flag indicating that the block structure or distribution has changed
!
logical, save :: changed = .true.
! the dimensions of the temporary array used in the block prolongation
!
integer, dimension(3), save :: pm = 1
private
public :: initialize_mesh, finalize_mesh, print_mesh
public :: generate_mesh, update_mesh
public :: redistribute_blocks
public :: setup_domain, setup_problem
public :: changed
!- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
!
contains
!
!===============================================================================
!!
!!*** PUBLIC SUBROUTINES *****************************************************
!!
!===============================================================================
!
!===============================================================================
!
! subroutine INITIALIZE_MESH:
! --------------------------
!
! Subroutine initializes mesh module and its variables.
!
! Arguments:
!
! verbose - the verbose flag;
! status - the subroutine call status;
!
!===============================================================================
!
subroutine initialize_mesh(verbose, status)
use coordinates, only : ncells, nghosts
use refinement , only : initialize_refinement
implicit none
logical, intent(in) :: verbose
integer, intent(out) :: status
!-------------------------------------------------------------------------------
!
status = 0
setup_domain => setup_domain_default
pm(1:NDIMS) = 2 * (ncells + nghosts)
call initialize_refinement(verbose, status)
!-------------------------------------------------------------------------------
!
end subroutine initialize_mesh
!
!===============================================================================
!
! subroutine FINALIZE_MESH:
! ------------------------
!
! Subroutine releases memory used by the module variables.
!
! Arguments:
!
! status - the subroutine call status: 0 for success, otherwise failure;
!
!===============================================================================
!
subroutine finalize_mesh(status)
use refinement, only : finalize_refinement
implicit none
integer, intent(out) :: status
!-------------------------------------------------------------------------------
!
status = 0
nullify(setup_problem)
call finalize_refinement(status)
!-------------------------------------------------------------------------------
!
end subroutine finalize_mesh
!
!===============================================================================
!
! subroutine PRINT_MESH:
! ---------------------
!
! Subroutine prints module parameters.
!
! Arguments:
!
! verbose - flag determining if the subroutine should be verbose;
!
!===============================================================================
!
subroutine print_mesh(verbose)
use refinement, only : print_refinement
implicit none
logical, intent(in) :: verbose
!-------------------------------------------------------------------------------
!
call print_refinement(verbose)
!-------------------------------------------------------------------------------
!
end subroutine print_mesh
!
!===============================================================================
!
! subroutine GENERATE_MESH:
! ------------------------
!
! Subroutine generates the iinitial block structure by creating blocks
! according to the geometry, initial problems and refinement criterion.
!
! Arguments:
!
! status - the subroutine call status: 0 for success, otherwise failure;
!
!===============================================================================
!
subroutine generate_mesh(status)
use blocks , only : block_meta, block_data, list_meta
use blocks , only : allocate_datablock, deallocate_datablock
use blocks , only : append_datablock
use blocks , only : link_blocks, unlink_blocks, refine_block
use blocks , only : get_mblocks, get_nleafs
use blocks , only : set_neighbors_refine
use blocks , only : build_leaf_list, build_datablock_list
#ifdef DEBUG
use blocks , only : check_neighbors
#endif /* DEBUG */
use coordinates, only : minlev, maxlev
use helpers , only : print_section, print_message
use mpitools , only : master, nproc, npmax, nodes, lprocs
use refinement , only : check_refinement_criterion
implicit none
integer, intent(out) :: status
type(block_meta), pointer :: pmeta
type(block_data), pointer :: pdata
logical :: refine, flag
integer(kind=4) :: level, lev
integer(kind=4) :: nc, nr, np, nl
integer(kind=4), dimension(nodes) :: nb
integer(kind=4), dimension(lprocs,nodes) :: lb
character(len=*), parameter :: loc = 'MESH::generate_mesh()'
!-------------------------------------------------------------------------------
!
call setup_domain(status)
if (status /= 0) then
call print_message(loc, "Cannot setup the computational domain!")
go to 100
end if
call allocate_datablock(pdata, status)
if (status /= 0) then
call print_message(loc, "Cannot allocate a temporary data block!")
go to 100
end if
! at this point we assume, that the initial structure of blocks
! according to the defined geometry is already created; no refinement
! is done yet; we fill out the coarse blocks with the initial condition
!
call print_section(master, "Generating the initial mesh")
if (master) write(*,"(4x,a16,11x,'=')",advance="no") "generating level"
refine = .true.
level = 1
do while (level < maxlev .and. refine)
!! DETERMINE THE REFINEMENT OF ALL BLOCKS AT THE CURRENT LEVEL
!!
! iterate over all meta blocks at the current level, and initialize the problem
! for them using temporary data block
!
refine = .false.
pmeta => list_meta
do while (associated(pmeta))
if (pmeta%level == level) then
call link_blocks(pmeta, pdata)
call setup_problem(pdata)
! check the refinement criterion for the current block, and do not allow for
! the derefinement; if the level is lower then the minimum level set it to be
! refined;
!
pmeta%refine = max(0, check_refinement_criterion(pdata))
if (level < minlev) pmeta%refine = 1
! if there is only one block, refine it anyway because the resolution for
! the problem initiation may be too small
!
if (get_mblocks() == 1 .and. level == 1) pmeta%refine = 1
call unlink_blocks(pmeta, pdata)
! set the refine flag, if there is any block selected for refinement or
! derefinement
!
if (pmeta%refine /= 0) refine = .true.
end if ! pmeta%level == level
pmeta => pmeta%next
end do ! pmeta
! refine or derefine only if it is needed
!
if (refine) then
! print the currently processed level
!
if (master) write(*, "(1x,i0)", advance = "no") level
!! STEP DOWN AND SELECT BLOCKS WHICH NEED TO BE REFINED
!!
! walk through all levels down from the current level and check if neighbors
! of the refined blocks need to be refined as well; there is no need for
! checking the blocks at the lowest level;
!
do lev = level, 2, -1
! iterate over all meta blocks at the level lev and if the current block is
! selected for the refinement and its neighbors are at lower levels select them
! for refinement too;
!
pmeta => list_meta
do while (associated(pmeta))
if (pmeta%leaf .and. pmeta%level == lev .and. pmeta%refine == 1) &
call set_neighbors_refine(pmeta)
pmeta => pmeta%next
end do ! pmeta
end do ! lev = level, 2, -1
!! REFINE ALL BLOCKS FROM THE LOWEST LEVEL UP
!!
! walk through the levels starting from the lowest to the current level
!
do lev = 1, level
pmeta => list_meta
do while (associated(pmeta))
! check if the current block is at the level lev and refine if if
! it is selected for refinement (refine without creating new data blocks)
!
if (pmeta%level == lev .and. pmeta%refine == 1) then
call refine_block(pmeta, .false., status)
! quit if the block couldn't be refined
!
if (status /= 0) then
call print_message(loc, "Cannot refine the meta block!")
call deallocate_datablock(pdata, status)
status = 1
go to 100
end if
end if
pmeta => pmeta%next
end do ! pmeta
end do ! lev = 1, level
! increase the level number
!
level = level + 1
end if ! refine
end do ! level = 1, maxlev
! print the currently processed level
!
if (master) write(*, "(1x,i0)") level
! deallocate temporary data block
!
call deallocate_datablock(pdata, status)
! check if the data block deallocation succeeded
!
if (status /= 0) then
call print_message(loc, "Cannot deallocate the temporary data block!")
go to 100
end if
!! ASSOCIATE THE META BLOCKS WITH PROCESSES AND CREATE INITIAL DATA BLOCKS
!!
! divide leaf blocks between all processes, use the number of data blocks to do
! this, but keep at the same process blocks with the same parent
!
nl = mod(get_nleafs(), nodes)
nb(:) = get_nleafs() / nodes
nb(1:nl) = nb(1:nl) + 1
do nc = 1, nodes
nl = mod(nb(nc), lprocs)
lb( : ,nc) = nb(nc) / lprocs
lb(1:nl,nc) = lb(1:nl,nc) + 1
end do
! reset the rank, processor and block numbers
!
nc = 1
nr = 1
np = 0
nl = 0
! iterate over all meta blocks
!
pmeta => list_meta
do while (associated(pmeta))
! assign the process number to the current block
!
pmeta%process = np
! check if the current block is the leaf
!
if (pmeta%leaf) then
! increase the number of leafs for the current process
!
nl = nl + 1
! if the block belongs to the current process, append a new data block, link it
! to the current meta block and initialize the problem
!
if (pmeta%process == nproc) then
call append_datablock(pdata, status)
if (status == 0) then
call link_blocks(pmeta, pdata)
call setup_problem(pdata)
else
call print_message(loc, "Cannot append new a data block!")
go to 100
end if
end if ! leaf and belongs to the current process
! if the number of leafs for the current process exceeds the number of assigned
! blocks, reset the counter and increase the process number
!
if (nl >= lb(nr,nc)) then
np = min(npmax, np + 1)
nl = 0
nr = nr + 1
if (nr > lprocs) then
nr = 1
nc = nc + 1
end if
flag = nc <= nodes
if (flag) flag = lb(nr,nc) == 0
do while(flag)
np = min(npmax, np + 1)
nr = nr + 1
if (nr > lprocs) then
nr = 1
nc = nc + 1
end if
flag = nc <= nodes
if (flag) flag = lb(nr,nc) == 0
end do
end if ! nl >= lb(nr,np)
end if ! leaf
pmeta => pmeta%next
end do ! pmeta
! update the list of leafs
!
call build_leaf_list(status)
! quit if the data block allocation failed
!
if (status /= 0) then
call print_message(loc, "Cannot build the list of leafs!")
go to 100
end if
#ifdef DEBUG
! check if neighbors are consistent after mesh generation
!
call check_neighbors()
#endif /* DEBUG */
! error entry point
!
100 continue
! update the vector of data blocks
!
call build_datablock_list(status)
!-------------------------------------------------------------------------------
!
end subroutine generate_mesh
!
!===============================================================================
!
! subroutine UPDATE_MESH:
! ----------------------
!
! Subroutine checks the refinement criterion for each block, and refines
! or restricts it if necessary by prolongating or restricting its data.
! In the MPI version the data blocks are redistributed among all processes
! after the mesh update.
!
! Arguments:
!
! status - the subroutine call status: 0 for success, otherwise failure;
!
!===============================================================================
!
subroutine update_mesh(status)
use blocks, only : block_data
use blocks, only : build_leaf_list, build_datablock_list
#ifdef DEBUG
use blocks, only : check_neighbors
#endif /* DEBUG */
implicit none
integer, intent(out) :: status
!-------------------------------------------------------------------------------
!
! check the refinement criterion of all data blocks at the current process
!
call check_data_block_refinement(status)
if (status /= 0) go to 100
! update neighbor refinement flags, if they need to be refined as well
!
call update_neighbor_refinement()
! prepare siblings of blocks marked for restriction
!
call prepare_sibling_derefinement(status)
if (status /= 0) go to 100
! restrict selected blocks
!
call derefine_selected_blocks(status)
if (status /= 0) go to 100
! prolong selected blocks
!
call refine_selected_blocks(status)
if (status /= 0) go to 100
! update the list of leafs
!
call build_leaf_list(status)
if (status /= 0) go to 100
#ifdef MPI
call redistribute_blocks(status)
if (status /= 0) go to 100
#endif /* MPI */
#ifdef DEBUG
! check if neighbors are consistent after mesh refinement
!
call check_neighbors()
#endif /* DEBUG */
100 continue
! update the vector of data blocks
!
call build_datablock_list(status)
!-------------------------------------------------------------------------------
!
end subroutine update_mesh
!
!===============================================================================
!
! subroutine REDISTRIBUTE_BLOCKS:
! ------------------------------
!
! Subroutine redistributes data blocks between processes.
!
! Arguments:
!
! status - the call status;
!
!===============================================================================
!
subroutine redistribute_blocks(status)
#ifdef MPI
use blocks , only : block_meta, block_data, list_meta
use blocks , only : get_nleafs, get_last_id
use blocks , only : append_datablock, remove_datablock, link_blocks
use helpers , only : print_message
use mpitools, only : check_status
use mpitools, only : npmax, nproc, nodes, lprocs
use mpitools, only : send_array, receive_array
#endif /* MPI */
implicit none
integer, intent(out) :: status
#ifdef MPI
logical :: flag
integer(kind=4) :: np, nl, nc, nr
type(block_meta), pointer :: pmeta
type(block_data), pointer :: pdata
integer(kind=4) :: tag1, tag2
integer(kind=4), dimension(nodes) :: nb
integer(kind=4), dimension(lprocs,nodes) :: lb
character(len=*), parameter :: loc = 'MESH::redistribute_blocks()'
#endif /* MPI */
!-------------------------------------------------------------------------------
!
status = 0
#ifdef MPI
! calculate the new data block distribution between processes
!
nl = mod(get_nleafs(), nodes)
nb(:) = get_nleafs() / nodes
nb(1:nl) = nb(1:nl) + 1
do nc = 1, nodes
nl = mod(nb(nc), lprocs)
lb( : ,nc) = nb(nc) / lprocs
lb(1:nl,nc) = lb(1:nl,nc) + 1
end do
nc = 1
nr = 1
np = 0
nl = 0
pmeta => list_meta
do while (associated(pmeta))
! exchange data blocks between processes
!
if (pmeta%process /= np) then
if (pmeta%leaf) then
changed = .true.
tag1 = pmeta%id
tag2 = pmeta%id + get_last_id()
if (nproc == pmeta%process) then
call send_array(np, tag1, pmeta%data%uu)
call send_array(np, tag2, pmeta%data%q)
call remove_datablock(pmeta%data, status)
if (status /= 0) then
call print_message(loc, "Could not remove data block!")
go to 1000
end if
end if
if (nproc == np) then
call append_datablock(pdata, status)
if (status /= 0) then
call print_message(loc, "Could not append new data block!")
go to 1000
end if
call link_blocks(pmeta, pdata)
call receive_array(pmeta%process, tag1, pmeta%data%uu)
call receive_array(pmeta%process, tag2, pmeta%data%q)
end if
end if
pmeta%process = np
end if
! determine the new block distribution
!
if (pmeta%leaf) then
nl = nl + 1
if (nl >= lb(nr,nc)) then
np = min(npmax, np + 1)
nl = 0
nr = nr + 1
if (nr > lprocs) then
nr = 1
nc = nc + 1
end if
flag = nc <= nodes
if (flag) flag = lb(nr,nc) == 0
do while(flag)
np = min(npmax, np + 1)
nr = nr + 1
if (nr > lprocs) then
nr = 1
nc = nc + 1
end if
flag = nc <= nodes
if (flag) flag = lb(nr,nc) == 0
end do
end if
end if
pmeta => pmeta%next
end do
1000 continue
if (check_status(status /= 0)) &
call print_message(loc, "Could not redistribute blocks!")
#endif /* MPI */
!-------------------------------------------------------------------------------
!
end subroutine redistribute_blocks
!
!===============================================================================
!!
!!*** PRIVATE SUBROUTINES ****************************************************
!!
!===============================================================================
!
!===============================================================================
!
! subroutine SETUP_DOMAIN_DEFAULT:
! -------------------------------
!
! Subroutine sets the default domain of N₁xN₂xN₃ blocks in the right
! configuration.
!
! Arguments:
!
! status - the subroutine call status: 0 for success, otherwise failure;
!
!===============================================================================
!
subroutine setup_domain_default(status)
use blocks , only : pointer_meta, block_meta, block_data
use blocks , only : append_metablock, append_datablock, link_blocks
use blocks , only : metablock_set_leaf, metablock_set_level
use blocks , only : metablock_set_configuration
use blocks , only : metablock_set_coordinates, metablock_set_bounds
use coordinates, only : xmin, ymin, zmin, xlen, ylen, zlen
use coordinates, only : ddims => domain_base_dims
use coordinates, only : periodic
use helpers , only : print_message
implicit none
integer, intent(out) :: status
integer :: i, j, k, n, p, ic, jc, kc
real(kind=8) :: xl, xmn, xmx, yl, ymn, ymx, zl, zmn, zmx
integer, dimension(3) :: pos, del
type(block_meta), pointer :: pmeta
integer, dimension(:,:,:), allocatable :: cfg
integer, dimension(:) , allocatable :: im, ip
integer, dimension(:) , allocatable :: jm, jp
#if NDIMS == 3
integer, dimension(:) , allocatable :: km, kp
#endif /* NDIMS == 3 */
type(pointer_meta), dimension(:,:,:), allocatable :: block_array
character(len=*), parameter :: loc = 'DOMAINS::setup_domain_default()'
!-------------------------------------------------------------------------------
!
status = 0
! obtain the number of blocks
!
n = product(ddims(1:NDIMS))
!! PREPARE BLOCK CONFIGURATION ARRAY
!!
! allocate the configuration array
!
allocate(cfg(ddims(1),ddims(2),ddims(3)), stat = status)
! check if the allocation succeeded
!
if (status /= 0) then
call print_message(loc, "Cannot allocate the configuration array!")
return
end if
! set the block configurations
!
cfg(1:ddims(1),1:ddims(2):2,1:ddims(3):2) = 12
if (ddims(2) > 1) then
cfg(1:ddims(1),2:ddims(2):2,1:ddims(3):2) = 43
cfg( ddims(1),1:ddims(2) ,1:ddims(3):2) = 13
end if
if (ddims(3) > 1) then
cfg(1:ddims(1),1:ddims(2):2,2:ddims(3):2) = 65
if (ddims(2) > 1) then
cfg(1:ddims(1),2:ddims(2):2,2:ddims(3):2) = 78
cfg( ddims(1),1:ddims(2) ,2:ddims(3):2) = 75
end if
if (ddims(1) == 1 .or. mod(ddims(2),2) == 1) then
cfg( ddims(1), ddims(2) ,1:ddims(3) ) = 15
else
cfg( 1 , ddims(2) ,1:ddims(3) ) = 48
end if
end if
!! ALLOCATE AND GENERATE META BLOCK CHAIN AND SET BLOCK CONFIGURATIONS
!!
! allocate the block pointer array
!
allocate(block_array(ddims(1),ddims(2),ddims(3)), stat = status)
! check if the allocation succeeded
!
if (status /= 0) then
call print_message(loc, "Cannot allocate a pointer array for domain base!")
if (allocated(cfg)) deallocate(cfg, stat = status)
status = 1
return
end if ! allocation
! generate the gray code for a given configuration and link the block in
! the proper order
!
pos(:) = (/ 0, 0, 0 /)
del(:) = (/ 1, 1, 1 /)
p = 1
do k = 1, ddims(3)
if (del(3) == 1) pos(3) = pos(3) + del(3)
do j = 1, ddims(2)
if (del(2) == 1) pos(2) = pos(2) + del(2)
do i = 1, ddims(1)
if (del(1) == 1) pos(1) = pos(1) + del(1)
! append a new metablock
!
call append_metablock(block_array(pos(1),pos(2),pos(3))%ptr, status)
! set the configuration type, if new block was appended successfully
!
if (status == 0) then
call metablock_set_configuration( &
block_array(pos(1),pos(2),pos(3))%ptr &
, cfg(pos(1),pos(2),pos(3)))
else ! status
call print_message(loc, &
"Cannot append a new metablock to the domain base!")
if (allocated(block_array)) deallocate(block_array, stat = status)
if (allocated(cfg)) deallocate(cfg , stat = status)
status = 1
return
end if ! status
p = p + 1
if (del(1) == -1) pos(1) = pos(1) + del(1)
end do
if (del(2) == -1) pos(2) = pos(2) + del(2)
del(1) = - del(1)
end do
if (del(3) == -1) pos(3) = pos(3) + del(3)
del(2) = - del(2)
end do
! deallocate the configuration array
!
deallocate(cfg, stat = status)
! check if the deallocation succeeded
!
if (status /= 0) &
call print_message(loc, "Cannot deallocate the configuration array!")
!! FILL OUT THE REMAINING FIELDS AND ALLOCATE AND ASSOCIATE DATA BLOCKS
!!
! calculate block sizes
!
xl = xlen / ddims(1)
yl = ylen / ddims(2)
zl = zlen / ddims(3)
! fill out block structure fields
!
do k = 1, ddims(3)
! claculate the block position along Z
!
kc = k - 1
! calculate the Z bounds
!
zmn = zmin + kc * zl
zmx = zmin + k * zl
do j = 1, ddims(2)
! claculate the block position along Y
!
jc = j - 1
! calculate the Y bounds
!
ymn = ymin + jc * yl
ymx = ymin + j * yl
do i = 1, ddims(1)
! claculate the block position along Y
!
ic = i - 1
! calculate the Z bounds
!
xmn = xmin + ic * xl
xmx = xmin + i * xl
! assign a pointer
!
pmeta => block_array(i,j,k)%ptr
! mark it as the leaf
!
call metablock_set_leaf(pmeta)
! set the level
!
call metablock_set_level(pmeta, 1)
! set block coordinates
!
call metablock_set_coordinates(pmeta, (/ ic, jc, kc /))
! set the bounds
!
call metablock_set_bounds(pmeta, xmn, xmx, ymn, ymx, zmn, zmx)
end do
end do
end do
!! ASSIGN THE BLOCK NEIGHBORS
!!
! allocate indices
!
#if NDIMS == 3
allocate(im(ddims(1)), ip(ddims(1)), jm(ddims(2)), jp(ddims(2)), &
km(ddims(3)), kp(ddims(3)), stat = status)
#else /* NDIMS == 3 */
allocate(im(ddims(1)), ip(ddims(1)), jm(ddims(2)), jp(ddims(2)), &
stat = status)
#endif /* NDIMS == 3 */
! check if the allocation succeeded
!
if (status == 0) then
! generate indices
!
im(:) = cshift((/(i, i = 1, ddims(1))/),-1)
ip(:) = cshift((/(i, i = 1, ddims(1))/), 1)
jm(:) = cshift((/(j, j = 1, ddims(2))/),-1)
jp(:) = cshift((/(j, j = 1, ddims(2))/), 1)
#if NDIMS == 3
km(:) = cshift((/(k, k = 1, ddims(3))/),-1)
kp(:) = cshift((/(k, k = 1, ddims(3))/), 1)
#endif /* NDIMS == 3 */
! check periodicity and reset the edge indices if box is not periodic
!
if (.not. periodic(1)) then
im( 1) = 0
ip(ddims(1)) = 0
end if
if (.not. periodic(2)) then
jm( 1) = 0
jp(ddims(2)) = 0
end if
#if NDIMS == 3
if (.not. periodic(3)) then
km( 1) = 0
kp(ddims(3)) = 0
end if
#endif /* NDIMS == 3 */
! iterate over all initial blocks
!
do k = 1, ddims(3)
do j = 1, ddims(2)
do i = 1, ddims(1)
! assign pmeta with the current block
!
pmeta => block_array(i,j,k)%ptr
#if NDIMS == 3
! assign face neighbor pointers
!
if (im(i) > 0) then
pmeta%faces(1,1,1,1)%ptr => block_array(im(i),j,k)%ptr
pmeta%faces(1,2,1,1)%ptr => block_array(im(i),j,k)%ptr
pmeta%faces(1,1,2,1)%ptr => block_array(im(i),j,k)%ptr
pmeta%faces(1,2,2,1)%ptr => block_array(im(i),j,k)%ptr
end if
if (ip(i) > 0) then
pmeta%faces(2,1,1,1)%ptr => block_array(ip(i),j,k)%ptr
pmeta%faces(2,2,1,1)%ptr => block_array(ip(i),j,k)%ptr
pmeta%faces(2,1,2,1)%ptr => block_array(ip(i),j,k)%ptr
pmeta%faces(2,2,2,1)%ptr => block_array(ip(i),j,k)%ptr
end if
if (jm(j) > 0) then
pmeta%faces(1,1,1,2)%ptr => block_array(i,jm(j),k)%ptr
pmeta%faces(2,1,1,2)%ptr => block_array(i,jm(j),k)%ptr
pmeta%faces(1,1,2,2)%ptr => block_array(i,jm(j),k)%ptr
pmeta%faces(2,1,2,2)%ptr => block_array(i,jm(j),k)%ptr
end if
if (jp(j) > 0) then
pmeta%faces(1,2,1,2)%ptr => block_array(i,jp(j),k)%ptr
pmeta%faces(2,2,1,2)%ptr => block_array(i,jp(j),k)%ptr
pmeta%faces(1,2,2,2)%ptr => block_array(i,jp(j),k)%ptr
pmeta%faces(2,2,2,2)%ptr => block_array(i,jp(j),k)%ptr
end if
if (km(k) > 0) then
pmeta%faces(1,1,1,3)%ptr => block_array(i,j,km(k))%ptr
pmeta%faces(2,1,1,3)%ptr => block_array(i,j,km(k))%ptr
pmeta%faces(1,2,1,3)%ptr => block_array(i,j,km(k))%ptr
pmeta%faces(2,2,1,3)%ptr => block_array(i,j,km(k))%ptr
end if
if (kp(k) > 0) then
pmeta%faces(1,1,2,3)%ptr => block_array(i,j,kp(k))%ptr
pmeta%faces(2,1,2,3)%ptr => block_array(i,j,kp(k))%ptr
pmeta%faces(1,2,2,3)%ptr => block_array(i,j,kp(k))%ptr
pmeta%faces(2,2,2,3)%ptr => block_array(i,j,kp(k))%ptr
end if
#endif /* NDIMS == 3 */
! assign edge neighbor pointers
!
#if NDIMS == 2
if (im(i) > 0) then
pmeta%edges(1,1,2)%ptr => block_array(im(i),j,k)%ptr
pmeta%edges(1,2,2)%ptr => block_array(im(i),j,k)%ptr
end if
if (ip(i) > 0) then
pmeta%edges(2,1,2)%ptr => block_array(ip(i),j,k)%ptr
pmeta%edges(2,2,2)%ptr => block_array(ip(i),j,k)%ptr
end if
if (jm(j) > 0) then
pmeta%edges(1,1,1)%ptr => block_array(i,jm(j),k)%ptr
pmeta%edges(2,1,1)%ptr => block_array(i,jm(j),k)%ptr
end if
if (jp(j) > 0) then
pmeta%edges(1,2,1)%ptr => block_array(i,jp(j),k)%ptr
pmeta%edges(2,2,1)%ptr => block_array(i,jp(j),k)%ptr
end if
#endif /* NDIMS == 2 */
#if NDIMS == 3
if (jm(j) > 0 .and. km(k) > 0) then
pmeta%edges(1,1,1,1)%ptr => block_array(i,jm(j),km(k))%ptr
pmeta%edges(2,1,1,1)%ptr => block_array(i,jm(j),km(k))%ptr
end if
if (jp(j) > 0 .and. km(k) > 0) then
pmeta%edges(1,2,1,1)%ptr => block_array(i,jp(j),km(k))%ptr
pmeta%edges(2,2,1,1)%ptr => block_array(i,jp(j),km(k))%ptr
end if
if (jm(j) > 0 .and. kp(k) > 0) then
pmeta%edges(1,1,2,1)%ptr => block_array(i,jm(j),kp(k))%ptr
pmeta%edges(2,1,2,1)%ptr => block_array(i,jm(j),kp(k))%ptr
end if
if (jp(j) > 0 .and. kp(k) > 0) then
pmeta%edges(1,2,2,1)%ptr => block_array(i,jp(j),kp(k))%ptr
pmeta%edges(2,2,2,1)%ptr => block_array(i,jp(j),kp(k))%ptr
end if
if (im(i) > 0 .and. km(k) > 0) then
pmeta%edges(1,1,1,2)%ptr => block_array(im(i),j,km(k))%ptr
pmeta%edges(1,2,1,2)%ptr => block_array(im(i),j,km(k))%ptr
end if
if (ip(i) > 0 .and. km(k) > 0) then
pmeta%edges(2,1,1,2)%ptr => block_array(ip(i),j,km(k))%ptr
pmeta%edges(2,2,1,2)%ptr => block_array(ip(i),j,km(k))%ptr
end if
if (im(i) > 0 .and. kp(k) > 0) then
pmeta%edges(1,1,2,2)%ptr => block_array(im(i),j,kp(k))%ptr
pmeta%edges(1,2,2,2)%ptr => block_array(im(i),j,kp(k))%ptr
end if
if (ip(i) > 0 .and. kp(k) > 0) then
pmeta%edges(2,1,2,2)%ptr => block_array(ip(i),j,kp(k))%ptr
pmeta%edges(2,2,2,2)%ptr => block_array(ip(i),j,kp(k))%ptr
end if
if (im(i) > 0 .and. jm(j) > 0) then
pmeta%edges(1,1,1,3)%ptr => block_array(im(i),jm(j),k)%ptr
pmeta%edges(1,1,2,3)%ptr => block_array(im(i),jm(j),k)%ptr
end if
if (ip(i) > 0 .and. jm(j) > 0) then
pmeta%edges(2,1,1,3)%ptr => block_array(ip(i),jm(j),k)%ptr
pmeta%edges(2,1,2,3)%ptr => block_array(ip(i),jm(j),k)%ptr
end if
if (im(i) > 0 .and. jp(j) > 0) then
pmeta%edges(1,2,1,3)%ptr => block_array(im(i),jp(j),k)%ptr
pmeta%edges(1,2,2,3)%ptr => block_array(im(i),jp(j),k)%ptr
end if
if (ip(i) > 0 .and. jp(j) > 0) then
pmeta%edges(2,2,1,3)%ptr => block_array(ip(i),jp(j),k)%ptr
pmeta%edges(2,2,2,3)%ptr => block_array(ip(i),jp(j),k)%ptr
end if
#endif /* NDIMS == 3 */
! assign corner neighbor pointers
!
#if NDIMS == 2
if (im(i) > 0 .and. jm(j) > 0) &
pmeta%corners(1,1)%ptr => block_array(im(i),jm(j),k)%ptr
if (ip(i) > 0 .and. jm(j) > 0) &
pmeta%corners(2,1)%ptr => block_array(ip(i),jm(j),k)%ptr
if (im(i) > 0 .and. jp(j) > 0) &
pmeta%corners(1,2)%ptr => block_array(im(i),jp(j),k)%ptr
if (ip(i) > 0 .and. jp(j) > 0) &
pmeta%corners(2,2)%ptr => block_array(ip(i),jp(j),k)%ptr
#endif /* NDIMS == 2 */
#if NDIMS == 3
if (im(i) > 0 .and. jm(j) > 0 .and. km(k) > 0) &
pmeta%corners(1,1,1)%ptr => block_array(im(i),jm(j),km(k))%ptr
if (ip(i) > 0 .and. jm(j) > 0 .and. km(k) > 0) &
pmeta%corners(2,1,1)%ptr => block_array(ip(i),jm(j),km(k))%ptr
if (im(i) > 0 .and. jp(j) > 0 .and. km(k) > 0) &
pmeta%corners(1,2,1)%ptr => block_array(im(i),jp(j),km(k))%ptr
if (ip(i) > 0 .and. jp(j) > 0 .and. km(k) > 0) &
pmeta%corners(2,2,1)%ptr => block_array(ip(i),jp(j),km(k))%ptr
if (im(i) > 0 .and. jm(j) > 0 .and. kp(k) > 0) &
pmeta%corners(1,1,2)%ptr => block_array(im(i),jm(j),kp(k))%ptr
if (ip(i) > 0 .and. jm(j) > 0 .and. kp(k) > 0) &
pmeta%corners(2,1,2)%ptr => block_array(ip(i),jm(j),kp(k))%ptr
if (im(i) > 0 .and. jp(j) > 0 .and. kp(k) > 0) &
pmeta%corners(1,2,2)%ptr => block_array(im(i),jp(j),kp(k))%ptr
if (ip(i) > 0 .and. jp(j) > 0 .and. kp(k) > 0) &
pmeta%corners(2,2,2)%ptr => block_array(ip(i),jp(j),kp(k))%ptr
#endif /* NDIMS == 3 */
end do ! over i
end do ! over j
end do ! over k
! deallocate indices
!
#if NDIMS == 3
deallocate(im, ip, jm, jp, km, kp, stat = status)
#else /* NDIMS == 3 */
deallocate(im, ip, jm, jp, stat = status)
#endif /* NDIMS == 3 */
! check if the deallocation succeeded
!
if (status /= 0) &
call print_message(loc, "Cannot deallocate the configuration indices!")
else ! allocation
call print_message(loc, "Cannot allocate the configuration indices!")
status = 1
end if ! allocation
! deallocate the block pointer array
!
deallocate(block_array, stat = status)
! check if the deallocation succeeded
!
if (status /= 0) &
call print_message(loc, &
"Cannot deallocate the pointer array for domain base!")
!-------------------------------------------------------------------------------
!
end subroutine setup_domain_default
!
!===============================================================================
!
! subroutine CHECK_DATA_BLOCK_REFINEMENT:
! --------------------------------------
!
! Subroutine scans over all data blocks, gets and corrects their refinement
! flags. If the MPI is used, the refinement flags are syncronized among all
! processes.
!
! Arguments:
!
! status - the subroutine call status: 0 for success, otherwise failure;
!
!===============================================================================
!
subroutine check_data_block_refinement(status)
use blocks , only : block_meta, block_data, list_meta, list_data
#ifdef MPI
use blocks , only : get_nleafs
#endif /* MPI */
use coordinates, only : minlev, maxlev
use helpers , only : print_message
#ifdef MPI
use mpitools , only : reduce_sum
#endif /* MPI */
use refinement , only : check_refinement_criterion
implicit none
integer, intent(out) :: status
type(block_meta), pointer :: pmeta
type(block_data), pointer :: pdata
#ifdef MPI
integer(kind=4) :: nl, l
integer(kind=4), dimension(:), allocatable :: ibuf
character(len=*), parameter :: loc = 'MESH::check_data_block_refinement()'
#endif /* MPI */
!-------------------------------------------------------------------------------
!
status = 0
! 1) reset the refinement flag for all meta blocks
!
! iterate over all meta blocks
!
pmeta => list_meta
do while (associated(pmeta))
pmeta%refine = 0
pmeta => pmeta%next
end do ! iterate over meta blocks
! 2) determine the refinement of data block from the current process
!
! iterate over all data blocks
!
pdata => list_data
do while (associated(pdata))
! assign pmeta to the meta block associated with pdata
!
pmeta => pdata%meta
! check the refinement criterion for the current data block
!
pmeta%refine = check_refinement_criterion(pdata)
! correct the refinement flag for the minimum and maximum levels
!
if (pmeta%level < minlev) pmeta%refine = 1
if (pmeta%level == minlev) pmeta%refine = max(0, pmeta%refine)
if (pmeta%level == maxlev) pmeta%refine = min(0, pmeta%refine)
if (pmeta%level > maxlev) pmeta%refine = -1
pdata => pdata%next
end do
#ifdef MPI
! 3) synchronize the refinement flags between all processes
!
! get the number of leafs
!
nl = get_nleafs()
! allocate a buffer for the refinement flags
!
allocate(ibuf(nl), stat = status)
! check if the buffer was allocated successfully
!
if (status == 0) then
! reset the buffer
!
ibuf(1:nl) = 0
! reset the leaf block counter
!
l = 0
! iterate over all meta blocks
!
pmeta => list_meta
do while (associated(pmeta))
! process only leafs
!
if (pmeta%leaf) then
! increase the leaf block counter
!
l = l + 1
! store the refinement flag in the buffer
!
ibuf(l) = pmeta%refine
end if ! pmeta is a leaf
pmeta => pmeta%next
end do ! iterate over meta blocks
! update refinement flags across all processes
!
call reduce_sum(ibuf(1:nl))
! reset the leaf block counter
!
l = 0
! iterate over all meta blocks
!
pmeta => list_meta
do while (associated(pmeta))
! process only leafs
!
if (pmeta%leaf) then
! increase the leaf block counter
!
l = l + 1
! restore the refinement flags
!
pmeta%refine = ibuf(l)
end if ! pmeta is a leaf
pmeta => pmeta%next
end do ! iterate over meta blocks
! deallocate the refinement flag buffer
!
deallocate(ibuf, stat = status)
if (status /= 0) &
call print_message(loc, &
"Refinement flag buffer could not be deallocated!")
else ! buffer couldn't be allocated
call print_message(loc, "Refinement flag buffer could not be allocated!")
end if ! buffer couldn't be allocated
#endif /* MPI */
!-------------------------------------------------------------------------------
!
end subroutine check_data_block_refinement
!
!===============================================================================
!
! subroutine UPDATE_NEIGHBOR_REFINEMENT:
! -------------------------------------
!
! Subroutine scans over all neighbors of blocks selected for refinement or
! derefinement, and if necessary selects them to be refined as well, or
! cancels their derefinement.
!
!
!===============================================================================
!
subroutine update_neighbor_refinement()
! import external procedures and variables
!
use blocks , only : block_meta, list_meta
use blocks , only : set_neighbors_refine
use coordinates , only : toplev
! local variables are not implicit by default
!
implicit none
! local pointers
!
type(block_meta), pointer :: pmeta
! local variables
!
integer(kind=4) :: l
!-------------------------------------------------------------------------------
!
! iterate down over all levels and correct the refinement of neighbor blocks
!
do l = toplev, 1, -1
! assign pmeta to the first meta block on the list
!
pmeta => list_meta
! iterate over all meta blocks
!
do while (associated(pmeta))
! check only leafs at the current level
!
if (pmeta%leaf .and. pmeta%level == l) then
! correct neighbor refinement flags
!
call set_neighbors_refine(pmeta)
end if ! the leaf at level l
! assign pmeta to the next meta block
!
pmeta => pmeta%next
end do ! iterate over meta blocks
end do ! levels
!-------------------------------------------------------------------------------
!
end subroutine update_neighbor_refinement
!
!===============================================================================
!
! subroutine PREPARE_SIBLING_DEREFINEMENT:
! ---------------------------------------
!
! Subroutine scans over all blocks selected for derefinement and checks if
! their siblings can be derefined as well. If any of them cannot be
! derefined, the derefinement of all siblings is canceled. Then, if MPI is
! used, the subroutine brings back all siblings together to lay on
! the same process.
!
! Note: This subroutine sets %refine flag of the parent to -1 to let the next
! executed subroutine derefine_selected_blocks() which parent block
! has to be derefined. That subroutine resets %refine flag of the
! parent after performing full restriction.
!
! Arguments:
!
! status - the subroutine call status: 0 for success, otherwise failure;
!
!===============================================================================
!
subroutine prepare_sibling_derefinement(status)
use blocks , only : block_meta, list_meta
#ifdef MPI
use blocks , only : block_data
#endif /* MPI */
use blocks , only : nchildren
use blocks , only : set_neighbors_refine
#ifdef MPI
use blocks , only : append_datablock, remove_datablock, link_blocks
#endif /* MPI */
use coordinates, only : toplev
use helpers , only : print_message
#ifdef MPI
use mpitools , only : nproc
use mpitools , only : send_array, receive_array
#endif /* MPI */
implicit none
integer, intent(out) :: status
type(block_meta), pointer :: pmeta, pparent, pchild
#ifdef MPI
type(block_data), pointer :: pdata
#endif /* MPI */
integer(kind=4) :: l, p
#ifdef MPI
integer(kind=4) :: itag
#endif /* MPI */
logical, dimension(nchildren) :: flag
#ifdef MPI
character(len=*), parameter :: loc = 'MESH::prepare_sibling_derefinement()'
#endif /* MPI */
!-------------------------------------------------------------------------------
!
status = 0
! 1) the block can be derefined only if all its children are selected for
! the derefined; otherwise reset the derefinement both for the parent
! and children;
!
do l = 2, toplev
pmeta => list_meta
do while (associated(pmeta))
if (pmeta%leaf .and. pmeta%level == l) then
if (pmeta%refine == -1) then
pparent => pmeta%parent
do p = 1, nchildren
pchild => pparent%child(p)%ptr
flag(p) = pchild%leaf .and. pchild%refine == -1
end do
if (all(flag)) then
pparent%refine = -1
else
do p = 1, nchildren
pchild => pparent%child(p)%ptr
pchild%refine = max(0, pchild%refine)
end do
end if
end if
end if
pmeta => pmeta%next
end do
end do
#ifdef MPI
! 2) bring all siblings to the same process, so we can merge them into a newly
! created data block of the parent;
!
pmeta => list_meta
do while (associated(pmeta))
if (.not. pmeta%leaf) then
if (pmeta%refine == -1) then
pchild => pmeta%child(1)%ptr
pmeta%process = pchild%process
do p = 2, nchildren
pchild => pmeta%child(p)%ptr
if (pchild%process /= pmeta%process) then
itag = pchild%id
if (pchild%process == nproc) then
call send_array(pmeta%process, itag, pchild%data%uu)
call remove_datablock(pchild%data, status)
if (status /= 0) then
call print_message(loc, "Cannot remove the data block!")
go to 100
end if
end if
if (pmeta%process == nproc) then
call append_datablock(pdata, status)
if (status == 0) then
call link_blocks(pchild, pdata)
else
call print_message(loc, "Cannot append a new data block!")
go to 100
end if
call receive_array(pchild%process, itag, pdata%uu)
end if
pchild%process = pmeta%process
end if
end do
end if
end if
pmeta => pmeta%next
end do
100 continue
#endif /* MPI */
!-------------------------------------------------------------------------------
!
end subroutine prepare_sibling_derefinement
!
!===============================================================================
!
! subroutine DEREFINE_SELECTED_BLOCKS:
! -----------------------------------
!
! Subroutine scans over all blocks and restrict those selected.
!
! Note: This subroutine resets the flag %refine set in subroutine
! prepare_sibling_derefinement().
!
! Arguments:
!
! status - the subroutine call status: 0 for success, otherwise failure;
!
!===============================================================================
!
subroutine derefine_selected_blocks(status)
use blocks , only : block_meta, block_data, list_meta
use blocks , only : append_datablock, link_blocks, derefine_block
use coordinates, only : toplev
use helpers , only : print_message
#ifdef MPI
use mpitools , only : nproc
#endif /* MPI */
implicit none
integer, intent(out) :: status
type(block_meta), pointer :: pmeta
type(block_data), pointer :: pdata
integer(kind=4) :: l
character(len=*), parameter :: loc = 'MESH::derefine_selected_blocks()'
!-------------------------------------------------------------------------------
!
! reset the status flag
!
status = 0
! iterate over levels and restrict the blocks selected for restriction
!
do l = toplev - 1, 1, -1
! iterate over all meta blocks
!
pmeta => list_meta
do while (associated(pmeta))
! process non-leafs at the current level selected for restriction
!
if (.not. pmeta%leaf .and. pmeta%level == l &
.and. pmeta%refine == -1) then
! indicate that the block structure will change
!
changed = .true.
#ifdef MPI
! check if pmeta belongs to the current process
!
if (pmeta%process == nproc) then
#endif /* MPI */
! check if a data block is associated with pmeta, if not create one
!
if (.not. associated(pmeta%data)) then
! append new data block and link it with the current pmeta
!
call append_datablock(pdata, status)
if (status == 0) then
call link_blocks(pmeta, pdata)
else
call print_message(loc, "Cannot append a new data block!")
go to 100
end if
end if ! no data block associated
! perform the block restriction
!
call restrict_block(pmeta)
#ifdef MPI
end if ! pmeta belongs to the current process
#endif /* MPI */
! perform the mesh derefinement, and reset the refinement flag of
! the current block
!
call derefine_block(pmeta, status)
if (status == 0) then
pmeta%refine = 0
else
call print_message(loc, "Cannot derefine the current meta block!")
go to 100
end if
end if ! non-leaf at current level selected for derefinement
pmeta => pmeta%next
end do ! iterate over meta blocks
end do ! levels
! error entry level
!
100 continue
!-------------------------------------------------------------------------------
!
end subroutine derefine_selected_blocks
!
!===============================================================================
!
! subroutine REFINE_SELECTED_BLOCKS:
! ---------------------------------
!
! Subroutine scans over all blocks and prolongates those selected.
!
! Arguments:
!
! status - the subroutine call status: 0 for success, otherwise failure;
!
!===============================================================================
!
subroutine refine_selected_blocks(status)
use blocks , only : block_meta, list_meta
use blocks , only : refine_block, remove_datablock
use coordinates, only : toplev
use helpers , only : print_message
#ifdef MPI
use mpitools , only : nproc
#endif /* MPI */
implicit none
integer, intent(out) :: status
type(block_meta), pointer :: pmeta, pparent
integer(kind=4) :: l
character(len=*), parameter :: loc = 'MESH::refine_selected_blocks()'
!-------------------------------------------------------------------------------
!
! reset the status flag
!
status = 0
! iterate over all levels and prolong those selected for prolongation
!
do l = 1, toplev - 1
! assign pmeta to the first meta block on the list
!
pmeta => list_meta
! iterate over all meta blocks
!
do while (associated(pmeta))
! process leafs at the current level selected for prolongation
!
if (pmeta%leaf .and. pmeta%level == l .and. pmeta%refine == 1) then
! indicate that the block structure will change
!
changed = .true.
! assign pparent with the new parent block
!
pparent => pmeta
#ifdef MPI
! check if pmeta belongs to the current process
!
if (pmeta%process == nproc) then
#endif /* MPI */
! prepare child blocks with allocating the data blocks
!
call refine_block(pmeta, .true., status)
! perform the data prolongation
!
call prolong_block(pparent, status)
if (status /= 0) then
call print_message(loc, "Cannot prolong the current data block!")
go to 100
end if
! remove the data block associated with the new parent
!
call remove_datablock(pparent%data, status)
if (status /= 0) then
call print_message(loc, "Cannot remove the current data block!")
go to 100
end if
#ifdef MPI
else ! pmeta belongs to the current process
! prepare child blocks without actually allocating the data blocks
!
call refine_block(pmeta, .false., status)
if (status /= 0) then
call print_message(loc, "Cannot refine the current meta block!")
go to 100
end if
end if ! pmeta belongs to the current process
! redistribute blocks equally among all processors
!
call redistribute_blocks(status)
if (status /= 0) then
call print_message(loc, "Cannot redistribute blocks!")
go to 100
end if
#endif /* MPI */
end if ! leaf at current level selected for refinement
! assign pmeta to the next meta block
!
pmeta => pmeta%next
end do ! iterate over meta blocks
end do ! levels
! error entry level
!
100 continue
!-------------------------------------------------------------------------------
!
end subroutine refine_selected_blocks
!
!===============================================================================
!
! subroutine PROLONG_BLOCK:
! ------------------------
!
! Subroutine prolongs variables from a data blocks linked to the input
! meta block and copy the resulting array of variables to
! the newly created children data block. The process of data restriction
! conserves stored variables.
!
! Arguments:
!
! pmeta - the input meta block;
! status - the subroutine call status: 0 for success, otherwise failure;
!
!===============================================================================
!
subroutine prolong_block(pmeta, status)
use blocks , only : block_meta, block_data, nchildren
use coordinates , only : ni => ncells, nn => bcells
use coordinates , only : nh => nghosts_half
use coordinates , only : nb, ne
use equations , only : nv, positive
use helpers , only : print_message
use interpolations, only : limiter_prol
use workspace , only : resize_workspace, work, work_in_use
implicit none
type(block_meta), pointer, intent(inout) :: pmeta
integer , intent(out) :: status
type(block_meta), pointer :: pchild
type(block_data), pointer :: pdata
logical, save :: first = .true.
integer :: n, p, nl, nu
integer :: i, im, ip
integer :: j, jm, jp
#if NDIMS == 3
integer :: k, km, kp
#else /* NDIMS == 3 */
integer :: k
#endif /* NDIMS == 3 */
real(kind=8) :: dul, dur
#if NDIMS == 3
real(kind=8) :: du1, du2, du3, du4
#else /* NDIMS == 3 */
real(kind=8) :: du1, du2
#endif /* NDIMS == 3 */
character(len=80) :: msg
integer , dimension(NDIMS) :: l, u
real(kind=8), dimension(NDIMS) :: du
real(kind=8), dimension(:,:,:), pointer, save :: tmp
integer :: nt = 0
!$ integer :: omp_get_thread_num
!$omp threadprivate(first, nt, tmp)
character(len=*), parameter :: loc = 'MESH::prolong_block()'
!-------------------------------------------------------------------------------
!
!$ nt = omp_get_thread_num()
status = 0
if (first) then
n = product(pm(:))
call resize_workspace(n, status)
if (status /= 0) then
call print_message(loc, "Could not resize the workspace!")
go to 100
end if
tmp(1:pm(1),1:pm(2),1:pm(3)) => work(1:n,nt)
first = .false.
end if
if (work_in_use(nt)) &
call print_message(loc, "Workspace is being used right now! " // &
"Corruptions can occur!")
work_in_use(nt) = .true.
#if NDIMS == 2
k = 1
#endif /* NDIMS == 2 */
nl = nb - nh
nu = ne + nh
pdata => pmeta%data
do n = 1, nv
#if NDIMS == 3
do k = nl, nu
km = k - 1
kp = k + 1
l(3) = 2 * (k - nl) + 1
u(3) = l(3) + 1
#endif /* NDIMS == 3 */
do j = nl, nu
jm = j - 1
jp = j + 1
l(2) = 2 * (j - nl) + 1
u(2) = l(2) + 1
do i = nl, nu
im = i - 1
ip = i + 1
l(1) = 2 * (i - nl) + 1
u(1) = l(1) + 1
dul = pdata%u(n,i ,j,k) - pdata%u(n,im,j,k)
dur = pdata%u(n,ip,j,k) - pdata%u(n,i ,j,k)
du(1) = limiter_prol(2.5d-01, dul, dur)
dul = pdata%u(n,i,j ,k) - pdata%u(n,i,jm,k)
dur = pdata%u(n,i,jp,k) - pdata%u(n,i,j ,k)
du(2) = limiter_prol(2.5d-01, dul, dur)
#if NDIMS == 3
dul = pdata%u(n,i,j,k ) - pdata%u(n,i,j,km)
dur = pdata%u(n,i,j,kp) - pdata%u(n,i,j,k )
du(3) = limiter_prol(2.5d-01, dul, dur)
#endif /* NDIMS == 3 */
if (positive(n) .and. pdata%u(n,i,j,k) < sum(abs(du(1:NDIMS)))) then
if (pdata%u(n,i,j,k) > 0.0d+00) then
do while (pdata%u(n,i,j,k) <= sum(abs(du(1:NDIMS))))
du(:) = 0.5d+00 * du(:)
end do
else
write(msg,"(a,3i4,a)") &
"Positive variable is not positive at (", i, j, k, " )"
call print_message(loc, msg)
du(:) = 0.0d+00
end if
end if
#if NDIMS == 2
du1 = du(1) + du(2)
du2 = du(1) - du(2)
tmp(l(1),l(2),k) = pdata%u(n,i,j,k) - du1
tmp(u(1),l(2),k) = pdata%u(n,i,j,k) + du2
tmp(l(1),u(2),k) = pdata%u(n,i,j,k) - du2
tmp(u(1),u(2),k) = pdata%u(n,i,j,k) + du1
#endif /* NDIMS == 2 */
#if NDIMS == 3
du1 = du(1) + du(2) + du(3)
du2 = du(1) - du(2) - du(3)
du3 = du(1) - du(2) + du(3)
du4 = du(1) + du(2) - du(3)
tmp(l(1),l(2),l(3)) = pdata%u(n,i,j,k) - du1
tmp(u(1),l(2),l(3)) = pdata%u(n,i,j,k) + du2
tmp(l(1),u(2),l(3)) = pdata%u(n,i,j,k) - du3
tmp(u(1),u(2),l(3)) = pdata%u(n,i,j,k) + du4
tmp(l(1),l(2),u(3)) = pdata%u(n,i,j,k) - du4
tmp(u(1),l(2),u(3)) = pdata%u(n,i,j,k) + du3
tmp(l(1),u(2),u(3)) = pdata%u(n,i,j,k) - du2
tmp(u(1),u(2),u(3)) = pdata%u(n,i,j,k) + du1
#endif /* NDIMS == 3 */
end do
end do
#if NDIMS == 3
end do
#endif /* NDIMS == 3 */
do p = 1, nchildren
pchild => pmeta%child(p)%ptr
l(1:NDIMS) = pchild%pos(1:NDIMS) * ni + 1
u(1:NDIMS) = l(1:NDIMS) + nn - 1
#if NDIMS == 2
pchild%data%u(n,:,:,1) = tmp(l(1):u(1),l(2):u(2),k)
#endif /* NDIMS == 2 */
#if NDIMS == 3
pchild%data%u(n,:,:,:) = tmp(l(1):u(1),l(2):u(2),l(3):u(3))
#endif /* NDIMS == 3 */
end do ! nchildren
end do ! n = 1, nv
work_in_use(nt) = .false.
100 continue
!-------------------------------------------------------------------------------
!
end subroutine prolong_block
!
!===============================================================================
!
! subroutine RESTRICT_BLOCK:
! -------------------------
!
! Subroutine restricts variables from children data blocks linked to
! the input meta block and copy the resulting array of variables to
! the associated data block. The process of data restriction conserves
! stored variables.
!
! Arguments:
!
! pmeta - the input meta block;
!
!===============================================================================
!
subroutine restrict_block(pmeta)
! import external procedures and variables
!
use blocks , only : block_meta, block_data, nchildren
use coordinates , only : nn => bcells, nh => bcells_half
use coordinates , only : ng => nghosts_half
use coordinates , only : nb, ne
use equations , only : nv
! local variables are not implicit by default
!
implicit none
! subroutine arguments
!
type(block_meta), pointer, intent(inout) :: pmeta
! local variables
!
integer :: p
integer :: il, iu, ip, is, it
integer :: jl, ju, jp, js, jt
#if NDIMS == 3
integer :: kl, ku, kp, ks, kt
#endif /* NDIMS == 3 */
! local arrays
!
integer, dimension(NDIMS) :: pos
! local pointers
!
type(block_data), pointer :: pparent, pchild
!-------------------------------------------------------------------------------
!
! assign the parent data pointer
!
pparent => pmeta%data
! iterate over all children
!
do p = 1, nchildren
! assign a pointer to the current child
!
pchild => pmeta%child(p)%ptr%data
! obtain the child position in the parent block
!
pos(1:NDIMS) = pchild%meta%pos(1:NDIMS)
! calculate the bound indices of the source nad destination arrays
!
if (pos(1) == 0) then
il = 1
iu = ne
is = nb - ng
it = nh
else
il = nb
iu = nn
is = nh + 1
it = ne + ng
end if
ip = il + 1
if (pos(2) == 0) then
jl = 1
ju = ne
js = nb - ng
jt = nh
else
jl = nb
ju = nn
js = nh + 1
jt = ne + ng
end if
jp = jl + 1
#if NDIMS == 3
if (pos(3) == 0) then
kl = 1
ku = ne
ks = nb - ng
kt = nh
else
kl = nb
ku = nn
ks = nh + 1
kt = ne + ng
end if
kp = kl + 1
#endif /* NDIMS == 3 */
! restrict conserved variables from the current child and copy the resulting
! array to the proper location of the parent data block
!
#if NDIMS == 2
pparent%u(1:nv,is:it,js:jt, : ) = &
2.50d-01 * ((pchild%u(1:nv,il:iu:2,jl:ju:2, : ) &
+ pchild%u(1:nv,ip:iu:2,jp:ju:2, : )) &
+ (pchild%u(1:nv,il:iu:2,jp:ju:2, : ) &
+ pchild%u(1:nv,ip:iu:2,jl:ju:2, : )))
#endif /* NDIMS == 2 */
#if NDIMS == 3
pparent%u(1:nv,is:it,js:jt,ks:kt) = &
1.25d-01 * (((pchild%u(1:nv,il:iu:2,jl:ju:2,kl:ku:2) &
+ pchild%u(1:nv,ip:iu:2,jp:ju:2,kp:ku:2)) &
+ (pchild%u(1:nv,il:iu:2,jl:ju:2,kp:ku:2) &
+ pchild%u(1:nv,ip:iu:2,jp:ju:2,kl:ku:2))) &
+ ((pchild%u(1:nv,il:iu:2,jp:ju:2,kp:ku:2) &
+ pchild%u(1:nv,ip:iu:2,jl:ju:2,kl:ku:2)) &
+ (pchild%u(1:nv,il:iu:2,jp:ju:2,kl:ku:2) &
+ pchild%u(1:nv,ip:iu:2,jl:ju:2,kp:ku:2))))
#endif /* NDIMS == 3 */
end do ! p = 1, nchildren
! prepare indices for the border filling
!
is = nb - ng
it = ne + ng
js = nb - ng
jt = ne + ng
#if NDIMS == 3
ks = nb - ng
kt = ne + ng
#endif /* NDIMS == 3 */
! fill out the borders
!
#if NDIMS == 2
do il = is - 1, 1, -1
pparent%u(1:nv,il,js:jt, : ) = pparent%u(1:nv,is,js:jt, : )
end do
do iu = it + 1, nn
pparent%u(1:nv,iu,js:jt, : ) = pparent%u(1:nv,it,js:jt, : )
end do
do jl = js - 1, 1, -1
pparent%u(1:nv, : ,jl, : ) = pparent%u(1:nv, : ,js, : )
end do
do ju = jt + 1, nn
pparent%u(1:nv, : ,ju, : ) = pparent%u(1:nv, : ,jt, : )
end do
#endif /* NDIMS == 2 */
#if NDIMS == 3
do il = is - 1, 1, -1
pparent%u(1:nv,il,js:jt,ks:kt) = pparent%u(1:nv,is,js:jt,ks:kt)
end do
do iu = it + 1, nn
pparent%u(1:nv,iu,js:jt,ks:kt) = pparent%u(1:nv,it,js:jt,ks:kt)
end do
do jl = js - 1, 1, -1
pparent%u(1:nv, : ,jl,ks:kt) = pparent%u(1:nv, : ,js,ks:kt)
end do
do ju = jt + 1, nn
pparent%u(1:nv, : ,ju,ks:kt) = pparent%u(1:nv, : ,jt,ks:kt)
end do
do kl = ks - 1, 1, -1
pparent%u(1:nv, : , : ,kl) = pparent%u(1:nv, : , : ,ks)
end do
do ku = kt + 1, nn
pparent%u(1:nv, : , : ,ku) = pparent%u(1:nv, : , : ,kt)
end do
#endif /* NDIMS == 3 */
!-------------------------------------------------------------------------------
!
end subroutine restrict_block
!===============================================================================
!
end module