!> @file init_pegrid.f90 !------------------------------------------------------------------------------! ! This file is part of PALM. ! ! PALM 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. ! ! PALM 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 ! PALM. If not, see . ! ! Copyright 1997-2017 Leibniz Universitaet Hannover !------------------------------------------------------------------------------! ! ! Current revisions: ! ------------------ ! ! ! Former revisions: ! ----------------- ! $Id: init_pegrid.f90 2300 2017-06-29 13:31:14Z hellstea $ ! host-specific settings removed ! ! 2298 2017-06-29 09:28:18Z raasch ! MPI2 related parts removed ! ! 2271 2017-06-09 12:34:55Z sward ! Error message changed ! ! 2259 2017-06-08 09:09:11Z gronemeier ! Implemented synthetic turbulence generator ! ! 2238 2017-05-31 16:49:16Z suehring ! Remove unnecessary module load of pmc_interface ! ! 2231 2017-05-30 16:44:33Z suehring ! ! 2200 2017-04-11 11:37:51Z suehring ! monotonic_adjustment removed ! ! 2197 2017-03-24 02:25:00Z raasch ! bugfix: do not allow odd values for nz at the coarsest grid level in case of ! optimized multigrid solver ! ! 2180 2017-03-17 13:33:05Z hellstea ! Checks to ensure (2178) that pdims match the grid dimensions in the ! automatic determination of pdims are canceled as unnecessary ! ! 2178 2017-03-17 11:07:39Z hellstea ! Checks to ensure that pdims match the grid dimensions are added in the ! automatic determination of pdims ! ! 2050 2016-11-08 15:00:55Z gronemeier ! Implement turbulent outflow condition ! ! 2000 2016-08-20 18:09:15Z knoop ! Forced header and separation lines into 80 columns ! ! 1968 2016-07-18 12:01:49Z suehring ! Extent MPI-datatypes for exchange of 2D-INTEGER arrays on coarser multigrid ! level ! ! 1964 2016-07-14 15:35:18Z hellstea ! Bugfix: erroneous setting of nest_bound_l/r/s/n = .TRUE. for vertical nesting mode removed. ! ! 1923 2016-05-31 16:37:07Z boeske ! Initial version of purely vertical nesting introduced. ! ! 1922 2016-05-31 16:36:08Z boeske ! Bugfix: array transposition checks restricted to cases if a fourier ! transform is used , removed unused variable nnx_z ! ! 1833 2016-04-07 14:23:03Z raasch ! spectra related variables moved to spectra_mod ! ! 1815 2016-04-06 13:49:59Z raasch ! cpp-directives for intel openmp bug removed ! ! 1804 2016-04-05 16:30:18Z maronga ! Removed code for parameter file check (__check) ! ! 1779 2016-03-03 08:01:28Z raasch ! changes regarding nested domain removed: virtual PE grid will be automatically ! calculated for nested runs too ! ! 1764 2016-02-28 12:45:19Z raasch ! cpp-statements for nesting removed ! ! 1762 2016-02-25 12:31:13Z hellstea ! Introduction of nested domain feature ! ! 1682 2015-10-07 23:56:08Z knoop ! Code annotations made doxygen readable ! ! 1677 2015-10-02 13:25:23Z boeske ! New MPI-data types for exchange of 3D integer arrays. ! ! 1575 2015-03-27 09:56:27Z raasch ! adjustments for psolver-queries, calculation of ngp_xz added ! ! 1565 2015-03-09 20:59:31Z suehring ! Refine if-clause for setting nbgp. ! ! 1557 2015-03-05 16:43:04Z suehring ! Adjustment for monotonic limiter ! ! 1468 2014-09-24 14:06:57Z maronga ! Adapted for use on up to 6-digit processor cores ! ! 1435 2014-07-21 10:37:02Z keck ! bugfix: added missing parameter coupling_mode_remote to ONLY-attribute ! ! 1402 2014-05-09 14:25:13Z raasch ! location messages modified ! ! 1384 2014-05-02 14:31:06Z raasch ! location messages added ! ! 1353 2014-04-08 15:21:23Z heinze ! REAL constants provided with KIND-attribute ! ! 1322 2014-03-20 16:38:49Z raasch ! REAL functions provided with KIND-attribute ! ! 1320 2014-03-20 08:40:49Z raasch ! ONLY-attribute added to USE-statements, ! kind-parameters added to all INTEGER and REAL declaration statements, ! kinds are defined in new module kinds, ! revision history before 2012 removed, ! comment fields (!:) to be used for variable explanations added to ! all variable declaration statements ! ! 1304 2014-03-12 10:29:42Z raasch ! bugfix: single core MPI runs missed some settings of transpose indices ! ! 1212 2013-08-15 08:46:27Z raasch ! error message for poisfft_hybrid removed ! ! 1159 2013-05-21 11:58:22Z fricke ! dirichlet/neumann and neumann/dirichlet removed ! ! 1139 2013-04-18 07:25:03Z raasch ! bugfix for calculating the id of the PE carrying the recycling plane ! ! 1111 2013-03-08 23:54:10Z raasch ! initialization of poisfft moved to module poisfft ! ! 1092 2013-02-02 11:24:22Z raasch ! unused variables removed ! ! 1056 2012-11-16 15:28:04Z raasch ! Indices for arrays n.._mg start from zero due to definition of arrays f2 and ! p2 as automatic arrays in recursive subroutine next_mg_level ! ! 1041 2012-11-06 02:36:29Z raasch ! a 2d virtual processor topology is used by default for all machines ! ! 1036 2012-10-22 13:43:42Z raasch ! code put under GPL (PALM 3.9) ! ! 1003 2012-09-14 14:35:53Z raasch ! subdomains must have identical size (grid matching = "match" removed) ! ! 1001 2012-09-13 14:08:46Z raasch ! all actions concerning upstream-spline-method removed ! ! 978 2012-08-09 08:28:32Z fricke ! dirichlet/neumann and neumann/dirichlet added ! nxlu and nysv are also calculated for inflow boundary ! ! 809 2012-01-30 13:32:58Z maronga ! Bugfix: replaced .AND. and .NOT. with && and ! in the preprocessor directives ! ! 807 2012-01-25 11:53:51Z maronga ! New cpp directive "__check" implemented which is used by check_namelist_files ! ! Revision 1.1 1997/07/24 11:15:09 raasch ! Initial revision ! ! ! Description: ! ------------ !> Determination of the virtual processor topology (if not prescribed by the !> user)and computation of the grid point number and array bounds of the local !> domains. !------------------------------------------------------------------------------! SUBROUTINE init_pegrid USE control_parameters, & ONLY: bc_lr, bc_ns, coupling_mode, coupling_mode_remote, & coupling_topology, gathered_size, grid_level, & grid_level_count, inflow_l, inflow_n, inflow_r, inflow_s, & io_blocks, io_group, maximum_grid_level, & maximum_parallel_io_streams, message_string, & mg_switch_to_pe0_level, momentum_advec, nest_bound_l, & nest_bound_n, nest_bound_r, nest_bound_s, nest_domain, neutral, & psolver, outflow_l, outflow_n, outflow_r, outflow_s, & outflow_source_plane, recycling_width, scalar_advec, & subdomain_size, turbulent_outflow USE grid_variables, & ONLY: dx USE indices, & ONLY: mg_loc_ind, nbgp, nnx, nny, nnz, nx, nx_a, nx_o, nxl, nxl_mg, & nxlu, nxr, nxr_mg, ny, ny_a, ny_o, nyn, nyn_mg, nys, nys_mg, & nysv, nz, nzb, nzt, nzt_mg, wall_flags_1, wall_flags_2, & wall_flags_3, wall_flags_4, wall_flags_5, wall_flags_6, & wall_flags_7, wall_flags_8, wall_flags_9, wall_flags_10 USE kinds USE pegrid USE spectra_mod, & ONLY: calculate_spectra, dt_dosp USE synthetic_turbulence_generator_mod, & ONLY: use_synthetic_turbulence_generator USE transpose_indices, & ONLY: nxl_y, nxl_yd, nxl_z, nxr_y, nxr_yd, nxr_z, nyn_x, nyn_z, nys_x,& nys_z, nzb_x, nzb_y, nzb_yd, nzt_x, nzt_yd, nzt_y IMPLICIT NONE INTEGER(iwp) :: i !< INTEGER(iwp) :: id_inflow_l !< INTEGER(iwp) :: id_outflow_l !< local value of id_outflow INTEGER(iwp) :: id_outflow_source_l !< local value of id_outflow_source INTEGER(iwp) :: id_recycling_l !< INTEGER(iwp) :: ind(5) !< INTEGER(iwp) :: j !< INTEGER(iwp) :: k !< INTEGER(iwp) :: maximum_grid_level_l !< INTEGER(iwp) :: mg_levels_x !< INTEGER(iwp) :: mg_levels_y !< INTEGER(iwp) :: mg_levels_z !< INTEGER(iwp) :: mg_switch_to_pe0_level_l !< INTEGER(iwp) :: nnx_y !< INTEGER(iwp) :: nnx_z !< INTEGER(iwp) :: nny_x !< INTEGER(iwp) :: nny_z !< INTEGER(iwp) :: nnz_x !< INTEGER(iwp) :: nnz_y !< INTEGER(iwp) :: numproc_sqr !< INTEGER(iwp) :: nxl_l !< INTEGER(iwp) :: nxr_l !< INTEGER(iwp) :: nyn_l !< INTEGER(iwp) :: nys_l !< INTEGER(iwp) :: nzb_l !< INTEGER(iwp) :: nzt_l !< INTEGER(iwp) :: omp_get_num_threads !< INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ind_all !< INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nxlf !< INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nxrf !< INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nynf !< INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nysf !< INTEGER(iwp), DIMENSION(2) :: pdims_remote !< ! !-- Get the number of OpenMP threads !$OMP PARALLEL !$ threads_per_task = omp_get_num_threads() !$OMP END PARALLEL #if defined( __parallel ) CALL location_message( 'creating virtual PE grids + MPI derived data types', & .FALSE. ) ! !-- Determine the processor topology or check it, if prescribed by the user IF ( npex == -1 .AND. npey == -1 ) THEN ! !-- Automatic determination of the topology numproc_sqr = SQRT( REAL( numprocs, KIND=wp ) ) pdims(1) = MAX( numproc_sqr , 1 ) DO WHILE ( MOD( numprocs , pdims(1) ) /= 0 ) pdims(1) = pdims(1) - 1 ENDDO pdims(2) = numprocs / pdims(1) ELSEIF ( npex /= -1 .AND. npey /= -1 ) THEN ! !-- Prescribed by user. Number of processors on the prescribed topology !-- must be equal to the number of PEs available to the job IF ( ( npex * npey ) /= numprocs ) THEN WRITE( message_string, * ) 'number of PEs of the prescribed ', & 'topology (', npex*npey,') does not match & the number of ', & 'PEs available to the job (', numprocs, ')' CALL message( 'init_pegrid', 'PA0221', 1, 2, 0, 6, 0 ) ENDIF pdims(1) = npex pdims(2) = npey ELSE ! !-- If the processor topology is prescribed by the user, the number of !-- PEs must be given in both directions message_string = 'if the processor topology is prescribed by th' // & 'e user& both values of "npex" and "npey" must be given' // & ' in the &NAMELIST-parameter file' CALL message( 'init_pegrid', 'PA0222', 1, 2, 0, 6, 0 ) ENDIF ! !-- If necessary, set horizontal boundary conditions to non-cyclic IF ( bc_lr /= 'cyclic' ) cyclic(1) = .FALSE. IF ( bc_ns /= 'cyclic' ) cyclic(2) = .FALSE. ! !-- Create the virtual processor grid CALL MPI_CART_CREATE( comm_palm, ndim, pdims, cyclic, reorder, & comm2d, ierr ) CALL MPI_COMM_RANK( comm2d, myid, ierr ) WRITE (myid_char,'(''_'',I6.6)') myid CALL MPI_CART_COORDS( comm2d, myid, ndim, pcoord, ierr ) CALL MPI_CART_SHIFT( comm2d, 0, 1, pleft, pright, ierr ) CALL MPI_CART_SHIFT( comm2d, 1, 1, psouth, pnorth, ierr ) ! !-- Determine sub-topologies for transpositions !-- Transposition from z to x: remain_dims(1) = .TRUE. remain_dims(2) = .FALSE. CALL MPI_CART_SUB( comm2d, remain_dims, comm1dx, ierr ) CALL MPI_COMM_RANK( comm1dx, myidx, ierr ) ! !-- Transposition from x to y remain_dims(1) = .FALSE. remain_dims(2) = .TRUE. CALL MPI_CART_SUB( comm2d, remain_dims, comm1dy, ierr ) CALL MPI_COMM_RANK( comm1dy, myidy, ierr ) ! !-- Calculate array bounds along x-direction for every PE. ALLOCATE( nxlf(0:pdims(1)-1), nxrf(0:pdims(1)-1), nynf(0:pdims(2)-1), & nysf(0:pdims(2)-1) ) IF ( MOD( nx+1 , pdims(1) ) /= 0 ) THEN WRITE( message_string, * ) 'x-direction: gridpoint number (',nx+1,') ',& 'is not an& integral divisor of the number ', & 'processors (', pdims(1),')' CALL message( 'init_pegrid', 'PA0225', 1, 2, 0, 6, 0 ) ELSE nnx = ( nx + 1 ) / pdims(1) IF ( nnx*pdims(1) - ( nx + 1) > nnx ) THEN WRITE( message_string, * ) 'x-direction: nx does not match the', & 'requirements given by the number of PEs &used', & '& please use nx = ', nx - ( pdims(1) - ( nnx*pdims(1) & - ( nx + 1 ) ) ), ' instead of nx =', nx CALL message( 'init_pegrid', 'PA0226', 1, 2, 0, 6, 0 ) ENDIF ENDIF ! !-- Left and right array bounds, number of gridpoints DO i = 0, pdims(1)-1 nxlf(i) = i * nnx nxrf(i) = ( i + 1 ) * nnx - 1 ENDDO ! !-- Calculate array bounds in y-direction for every PE. IF ( MOD( ny+1 , pdims(2) ) /= 0 ) THEN WRITE( message_string, * ) 'y-direction: gridpoint number (',ny+1,') ', & 'is not an& integral divisor of the number of', & 'processors (', pdims(2),')' CALL message( 'init_pegrid', 'PA0227', 1, 2, 0, 6, 0 ) ELSE nny = ( ny + 1 ) / pdims(2) IF ( nny*pdims(2) - ( ny + 1) > nny ) THEN WRITE( message_string, * ) 'y-direction: ny does not match the', & 'requirements given by the number of PEs &used ', & '& please use ny = ', ny - ( pdims(2) - ( nnx*pdims(2) & - ( ny + 1 ) ) ), ' instead of ny =', ny CALL message( 'init_pegrid', 'PA0228', 1, 2, 0, 6, 0 ) ENDIF ENDIF ! !-- South and north array bounds DO j = 0, pdims(2)-1 nysf(j) = j * nny nynf(j) = ( j + 1 ) * nny - 1 ENDDO ! !-- Local array bounds of the respective PEs nxl = nxlf(pcoord(1)) nxr = nxrf(pcoord(1)) nys = nysf(pcoord(2)) nyn = nynf(pcoord(2)) nzb = 0 nzt = nz nnz = nz ! !-- Set switches to define if the PE is situated at the border of the virtual !-- processor grid IF ( nxl == 0 ) left_border_pe = .TRUE. IF ( nxr == nx ) right_border_pe = .TRUE. IF ( nys == 0 ) south_border_pe = .TRUE. IF ( nyn == ny ) north_border_pe = .TRUE. ! !-- Calculate array bounds and gridpoint numbers for the transposed arrays !-- (needed in the pressure solver) !-- For the transposed arrays, cyclic boundaries as well as top and bottom !-- boundaries are omitted, because they are obstructive to the transposition ! !-- 1. transposition z --> x !-- This transposition is not neccessary in case of a 1d-decomposition along x IF ( psolver == 'poisfft' .OR. calculate_spectra .OR. & use_synthetic_turbulence_generator ) THEN IF ( pdims(2) /= 1 ) THEN IF ( MOD( nz , pdims(1) ) /= 0 ) THEN WRITE( message_string, * ) 'transposition z --> x:', & '&nz=',nz,' is not an integral divisior of pdims(1)=', & pdims(1) CALL message( 'init_pegrid', 'PA0230', 1, 2, 0, 6, 0 ) ENDIF ENDIF nys_x = nys nyn_x = nyn nny_x = nny nnz_x = nz / pdims(1) nzb_x = 1 + myidx * nnz_x nzt_x = ( myidx + 1 ) * nnz_x sendrecvcount_zx = nnx * nny * nnz_x ENDIF IF ( psolver == 'poisfft' ) THEN ! !-- 2. transposition x --> y IF ( MOD( nx+1 , pdims(2) ) /= 0 ) THEN WRITE( message_string, * ) 'transposition x --> y:', & '&nx+1=',nx+1,' is not an integral divisor of ', & 'pdims(2)=',pdims(2) CALL message( 'init_pegrid', 'PA0231', 1, 2, 0, 6, 0 ) ENDIF nnz_y = nnz_x nzb_y = nzb_x nzt_y = nzt_x nnx_y = (nx+1) / pdims(2) nxl_y = myidy * nnx_y nxr_y = ( myidy + 1 ) * nnx_y - 1 sendrecvcount_xy = nnx_y * nny_x * nnz_y ! !-- 3. transposition y --> z !-- (ELSE: x --> y in case of 1D-decomposition along x) nxl_z = nxl_y nxr_z = nxr_y nny_z = (ny+1) / pdims(1) nys_z = myidx * nny_z nyn_z = ( myidx + 1 ) * nny_z - 1 sendrecvcount_yz = nnx_y * nny_z * nnz_y IF ( pdims(2) /= 1 ) THEN ! !-- y --> z !-- This transposition is not neccessary in case of a 1d-decomposition !-- along x, except that the uptream-spline method is switched on IF ( MOD( ny+1 , pdims(1) ) /= 0 ) THEN WRITE( message_string, * ) 'transposition y --> z:', & '& ny+1=',ny+1,' is not an integral divisor of',& ' pdims(1)=',pdims(1) CALL message( 'init_pegrid', 'PA0232', 1, 2, 0, 6, 0 ) ENDIF ELSE ! !-- x --> y !-- This condition must be fulfilled for a 1D-decomposition along x IF ( MOD( ny+1 , pdims(1) ) /= 0 ) THEN WRITE( message_string, * ) 'transposition x --> y:', & '& ny+1=',ny+1,' is not an integral divisor of',& ' pdims(1)=',pdims(1) CALL message( 'init_pegrid', 'PA0233', 1, 2, 0, 6, 0 ) ENDIF ENDIF ENDIF ! !-- Indices for direct transpositions z --> y (used for calculating spectra) IF ( calculate_spectra ) THEN IF ( MOD( nz, pdims(2) ) /= 0 ) THEN WRITE( message_string, * ) 'direct transposition z --> y (needed ', & 'for spectra):& nz=',nz,' is not an integral divisor of ', & 'pdims(2)=',pdims(2) CALL message( 'init_pegrid', 'PA0234', 1, 2, 0, 6, 0 ) ELSE nxl_yd = nxl nxr_yd = nxr nzb_yd = 1 + myidy * ( nz / pdims(2) ) nzt_yd = ( myidy + 1 ) * ( nz / pdims(2) ) sendrecvcount_zyd = nnx * nny * ( nz / pdims(2) ) ENDIF ENDIF IF ( psolver == 'poisfft' .OR. calculate_spectra ) THEN ! !-- Indices for direct transpositions y --> x !-- (they are only possible in case of a 1d-decomposition along x) IF ( pdims(2) == 1 ) THEN nny_x = nny / pdims(1) nys_x = myid * nny_x nyn_x = ( myid + 1 ) * nny_x - 1 nzb_x = 1 nzt_x = nz sendrecvcount_xy = nnx * nny_x * nz ENDIF ENDIF IF ( psolver == 'poisfft' ) THEN ! !-- Indices for direct transpositions x --> y !-- (they are only possible in case of a 1d-decomposition along y) IF ( pdims(1) == 1 ) THEN nnx_y = nnx / pdims(2) nxl_y = myid * nnx_y nxr_y = ( myid + 1 ) * nnx_y - 1 nzb_y = 1 nzt_y = nz sendrecvcount_xy = nnx_y * nny * nz ENDIF ENDIF ! !-- Arrays for storing the array bounds are needed any more DEALLOCATE( nxlf , nxrf , nynf , nysf ) ! !-- Collect index bounds from other PEs (to be written to restart file later) ALLOCATE( hor_index_bounds(4,0:numprocs-1) ) IF ( myid == 0 ) THEN hor_index_bounds(1,0) = nxl hor_index_bounds(2,0) = nxr hor_index_bounds(3,0) = nys hor_index_bounds(4,0) = nyn ! !-- Receive data from all other PEs DO i = 1, numprocs-1 CALL MPI_RECV( ibuf, 4, MPI_INTEGER, i, MPI_ANY_TAG, comm2d, status, & ierr ) hor_index_bounds(:,i) = ibuf(1:4) ENDDO ELSE ! !-- Send index bounds to PE0 ibuf(1) = nxl ibuf(2) = nxr ibuf(3) = nys ibuf(4) = nyn CALL MPI_SEND( ibuf, 4, MPI_INTEGER, 0, myid, comm2d, ierr ) ENDIF #if defined( __print ) ! !-- Control output IF ( myid == 0 ) THEN PRINT*, '*** processor topology ***' PRINT*, ' ' PRINT*, 'myid pcoord left right south north idx idy nxl: nxr',& &' nys: nyn' PRINT*, '------------------------------------------------------------',& &'-----------' WRITE (*,1000) 0, pcoord(1), pcoord(2), pleft, pright, psouth, pnorth, & myidx, myidy, nxl, nxr, nys, nyn 1000 FORMAT (I4,2X,'(',I3,',',I3,')',3X,I4,2X,I4,3X,I4,2X,I4,2X,I3,1X,I3, & 2(2X,I4,':',I4)) ! !-- Receive data from the other PEs DO i = 1,numprocs-1 CALL MPI_RECV( ibuf, 12, MPI_INTEGER, i, MPI_ANY_TAG, comm2d, status, & ierr ) WRITE (*,1000) i, ( ibuf(j) , j = 1,12 ) ENDDO ELSE ! !-- Send data to PE0 ibuf(1) = pcoord(1); ibuf(2) = pcoord(2); ibuf(3) = pleft ibuf(4) = pright; ibuf(5) = psouth; ibuf(6) = pnorth; ibuf(7) = myidx ibuf(8) = myidy; ibuf(9) = nxl; ibuf(10) = nxr; ibuf(11) = nys ibuf(12) = nyn CALL MPI_SEND( ibuf, 12, MPI_INTEGER, 0, myid, comm2d, ierr ) ENDIF #endif #if defined( __parallel ) ! !-- Determine the number of ghost point layers IF ( ( scalar_advec == 'ws-scheme' .AND. .NOT. neutral ) .OR. & momentum_advec == 'ws-scheme' ) THEN nbgp = 3 ELSE nbgp = 1 ENDIF ! !-- Create a new MPI derived datatype for the exchange of surface (xy) data, !-- which is needed for coupled atmosphere-ocean runs. !-- First, calculate number of grid points of an xy-plane. ngp_xy = ( nxr - nxl + 1 + 2 * nbgp ) * ( nyn - nys + 1 + 2 * nbgp ) CALL MPI_TYPE_VECTOR( ngp_xy, 1, nzt-nzb+2, MPI_REAL, type_xy, ierr ) CALL MPI_TYPE_COMMIT( type_xy, ierr ) IF ( TRIM( coupling_mode ) /= 'uncoupled' ) THEN ! !-- Pass the number of grid points of the atmosphere model to !-- the ocean model and vice versa IF ( coupling_mode == 'atmosphere_to_ocean' ) THEN nx_a = nx ny_a = ny IF ( myid == 0 ) THEN CALL MPI_SEND( nx_a, 1, MPI_INTEGER, numprocs, 1, comm_inter, & ierr ) CALL MPI_SEND( ny_a, 1, MPI_INTEGER, numprocs, 2, comm_inter, & ierr ) CALL MPI_SEND( pdims, 2, MPI_INTEGER, numprocs, 3, comm_inter, & ierr ) CALL MPI_RECV( nx_o, 1, MPI_INTEGER, numprocs, 4, comm_inter, & status, ierr ) CALL MPI_RECV( ny_o, 1, MPI_INTEGER, numprocs, 5, comm_inter, & status, ierr ) CALL MPI_RECV( pdims_remote, 2, MPI_INTEGER, numprocs, 6, & comm_inter, status, ierr ) ENDIF CALL MPI_BCAST( nx_o, 1, MPI_INTEGER, 0, comm2d, ierr ) CALL MPI_BCAST( ny_o, 1, MPI_INTEGER, 0, comm2d, ierr ) CALL MPI_BCAST( pdims_remote, 2, MPI_INTEGER, 0, comm2d, ierr ) ELSEIF ( coupling_mode == 'ocean_to_atmosphere' ) THEN nx_o = nx ny_o = ny IF ( myid == 0 ) THEN CALL MPI_RECV( nx_a, 1, MPI_INTEGER, 0, 1, comm_inter, status, & ierr ) CALL MPI_RECV( ny_a, 1, MPI_INTEGER, 0, 2, comm_inter, status, & ierr ) CALL MPI_RECV( pdims_remote, 2, MPI_INTEGER, 0, 3, comm_inter, & status, ierr ) CALL MPI_SEND( nx_o, 1, MPI_INTEGER, 0, 4, comm_inter, ierr ) CALL MPI_SEND( ny_o, 1, MPI_INTEGER, 0, 5, comm_inter, ierr ) CALL MPI_SEND( pdims, 2, MPI_INTEGER, 0, 6, comm_inter, ierr ) ENDIF CALL MPI_BCAST( nx_a, 1, MPI_INTEGER, 0, comm2d, ierr) CALL MPI_BCAST( ny_a, 1, MPI_INTEGER, 0, comm2d, ierr) CALL MPI_BCAST( pdims_remote, 2, MPI_INTEGER, 0, comm2d, ierr) ENDIF ngp_a = ( nx_a+1 + 2 * nbgp ) * ( ny_a+1 + 2 * nbgp ) ngp_o = ( nx_o+1 + 2 * nbgp ) * ( ny_o+1 + 2 * nbgp ) ! !-- Determine if the horizontal grid and the number of PEs in ocean and !-- atmosphere is same or not IF ( nx_o == nx_a .AND. ny_o == ny_a .AND. & pdims(1) == pdims_remote(1) .AND. pdims(2) == pdims_remote(2) ) & THEN coupling_topology = 0 ELSE coupling_topology = 1 ENDIF ! !-- Determine the target PEs for the exchange between ocean and !-- atmosphere (comm2d) IF ( coupling_topology == 0 ) THEN ! !-- In case of identical topologies, every atmosphere PE has exactly one !-- ocean PE counterpart and vice versa IF ( TRIM( coupling_mode ) == 'atmosphere_to_ocean' ) THEN target_id = myid + numprocs ELSE target_id = myid ENDIF ELSE ! !-- In case of nonequivalent topology in ocean and atmosphere only for !-- PE0 in ocean and PE0 in atmosphere a target_id is needed, since !-- data echxchange between ocean and atmosphere will be done only !-- between these PEs. IF ( myid == 0 ) THEN IF ( TRIM( coupling_mode ) == 'atmosphere_to_ocean' ) THEN target_id = numprocs ELSE target_id = 0 ENDIF ENDIF ENDIF ENDIF #endif #else ! !-- Array bounds when running on a single PE (respectively a non-parallel !-- machine) nxl = 0 nxr = nx nnx = nxr - nxl + 1 nys = 0 nyn = ny nny = nyn - nys + 1 nzb = 0 nzt = nz nnz = nz ALLOCATE( hor_index_bounds(4,0:0) ) hor_index_bounds(1,0) = nxl hor_index_bounds(2,0) = nxr hor_index_bounds(3,0) = nys hor_index_bounds(4,0) = nyn ! !-- Array bounds for the pressure solver (in the parallel code, these bounds !-- are the ones for the transposed arrays) nys_x = nys nyn_x = nyn nzb_x = nzb + 1 nzt_x = nzt nxl_y = nxl nxr_y = nxr nzb_y = nzb + 1 nzt_y = nzt nxl_z = nxl nxr_z = nxr nys_z = nys nyn_z = nyn #endif ! !-- Calculate number of grid levels necessary for the multigrid poisson solver !-- as well as the gridpoint indices on each level IF ( psolver(1:9) == 'multigrid' ) THEN ! !-- First calculate number of possible grid levels for the subdomains mg_levels_x = 1 mg_levels_y = 1 mg_levels_z = 1 i = nnx DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 ) i = i / 2 mg_levels_x = mg_levels_x + 1 ENDDO j = nny DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 ) j = j / 2 mg_levels_y = mg_levels_y + 1 ENDDO k = nz ! do not use nnz because it might be > nz due to transposition ! requirements DO WHILE ( MOD( k, 2 ) == 0 .AND. k /= 2 ) k = k / 2 mg_levels_z = mg_levels_z + 1 ENDDO ! !-- The optimized MG-solver does not allow odd values for nz at the coarsest !-- grid level IF ( TRIM( psolver ) /= 'multigrid_noopt' ) THEN IF ( MOD( k, 2 ) /= 0 ) mg_levels_z = mg_levels_z - 1 ENDIF maximum_grid_level = MIN( mg_levels_x, mg_levels_y, mg_levels_z ) ! !-- Find out, if the total domain allows more levels. These additional !-- levels are identically processed on all PEs. IF ( numprocs > 1 .AND. mg_switch_to_pe0_level /= -1 ) THEN IF ( mg_levels_z > MIN( mg_levels_x, mg_levels_y ) ) THEN mg_switch_to_pe0_level_l = maximum_grid_level mg_levels_x = 1 mg_levels_y = 1 i = nx+1 DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 ) i = i / 2 mg_levels_x = mg_levels_x + 1 ENDDO j = ny+1 DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 ) j = j / 2 mg_levels_y = mg_levels_y + 1 ENDDO maximum_grid_level_l = MIN( mg_levels_x, mg_levels_y, mg_levels_z ) IF ( maximum_grid_level_l > mg_switch_to_pe0_level_l ) THEN mg_switch_to_pe0_level_l = maximum_grid_level_l - & mg_switch_to_pe0_level_l + 1 ELSE mg_switch_to_pe0_level_l = 0 ENDIF ELSE mg_switch_to_pe0_level_l = 0 maximum_grid_level_l = maximum_grid_level ENDIF ! !-- Use switch level calculated above only if it is not pre-defined !-- by user IF ( mg_switch_to_pe0_level == 0 ) THEN IF ( mg_switch_to_pe0_level_l /= 0 ) THEN mg_switch_to_pe0_level = mg_switch_to_pe0_level_l maximum_grid_level = maximum_grid_level_l ENDIF ELSE ! !-- Check pre-defined value and reset to default, if neccessary IF ( mg_switch_to_pe0_level < mg_switch_to_pe0_level_l .OR. & mg_switch_to_pe0_level >= maximum_grid_level_l ) THEN message_string = 'mg_switch_to_pe0_level ' // & 'out of range and reset to 0' CALL message( 'init_pegrid', 'PA0235', 0, 1, 0, 6, 0 ) mg_switch_to_pe0_level = 0 ELSE ! !-- Use the largest number of possible levels anyway and recalculate !-- the switch level to this largest number of possible values maximum_grid_level = maximum_grid_level_l ENDIF ENDIF ENDIF ALLOCATE( grid_level_count(maximum_grid_level), & nxl_mg(0:maximum_grid_level), nxr_mg(0:maximum_grid_level), & nyn_mg(0:maximum_grid_level), nys_mg(0:maximum_grid_level), & nzt_mg(0:maximum_grid_level) ) grid_level_count = 0 ! !-- Index zero required as dummy due to definition of arrays f2 and p2 in !-- recursive subroutine next_mg_level nxl_mg(0) = 0; nxr_mg(0) = 0; nyn_mg(0) = 0; nys_mg(0) = 0; nzt_mg(0) = 0 nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzt_l = nzt DO i = maximum_grid_level, 1 , -1 IF ( i == mg_switch_to_pe0_level ) THEN #if defined( __parallel ) ! !-- Save the grid size of the subdomain at the switch level, because !-- it is needed in poismg. ind(1) = nxl_l; ind(2) = nxr_l ind(3) = nys_l; ind(4) = nyn_l ind(5) = nzt_l ALLOCATE( ind_all(5*numprocs), mg_loc_ind(5,0:numprocs-1) ) CALL MPI_ALLGATHER( ind, 5, MPI_INTEGER, ind_all, 5, & MPI_INTEGER, comm2d, ierr ) DO j = 0, numprocs-1 DO k = 1, 5 mg_loc_ind(k,j) = ind_all(k+j*5) ENDDO ENDDO DEALLOCATE( ind_all ) ! !-- Calculate the grid size of the total domain nxr_l = ( nxr_l-nxl_l+1 ) * pdims(1) - 1 nxl_l = 0 nyn_l = ( nyn_l-nys_l+1 ) * pdims(2) - 1 nys_l = 0 ! !-- The size of this gathered array must not be larger than the !-- array tend, which is used in the multigrid scheme as a temporary !-- array. Therefore the subdomain size of an PE is calculated and !-- the size of the gathered grid. These values are used in !-- routines pres and poismg subdomain_size = ( nxr - nxl + 2 * nbgp + 1 ) * & ( nyn - nys + 2 * nbgp + 1 ) * ( nzt - nzb + 2 ) gathered_size = ( nxr_l - nxl_l + 3 ) * ( nyn_l - nys_l + 3 ) * & ( nzt_l - nzb + 2 ) #else message_string = 'multigrid gather/scatter impossible ' // & 'in non parallel mode' CALL message( 'init_pegrid', 'PA0237', 1, 2, 0, 6, 0 ) #endif ENDIF nxl_mg(i) = nxl_l nxr_mg(i) = nxr_l nys_mg(i) = nys_l nyn_mg(i) = nyn_l nzt_mg(i) = nzt_l nxl_l = nxl_l / 2 nxr_l = nxr_l / 2 nys_l = nys_l / 2 nyn_l = nyn_l / 2 nzt_l = nzt_l / 2 ENDDO ! !-- Temporary problem: Currently calculation of maxerror iin routine poismg crashes !-- if grid data are collected on PE0 already on the finest grid level. !-- To be solved later. IF ( maximum_grid_level == mg_switch_to_pe0_level ) THEN message_string = 'grid coarsening on subdomain level cannot be performed' CALL message( 'poismg', 'PA0236', 1, 2, 0, 6, 0 ) ENDIF ELSE maximum_grid_level = 0 ENDIF ! !-- Default level 0 tells exchange_horiz that all ghost planes have to be !-- exchanged. grid_level is adjusted in poismg, where only one ghost plane !-- is required. grid_level = 0 #if defined( __parallel ) ! !-- Gridpoint number for the exchange of ghost points (y-line for 2D-arrays) ngp_y = nyn - nys + 1 + 2 * nbgp ! !-- Define new MPI derived datatypes for the exchange of ghost points in !-- x- and y-direction for 2D-arrays (line) CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_REAL, type_x, & ierr ) CALL MPI_TYPE_COMMIT( type_x, ierr ) CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_REAL, type_y, ierr ) CALL MPI_TYPE_COMMIT( type_y, ierr ) ! !-- Define new MPI derived datatypes for the exchange of ghost points in !-- x- and y-direction for 2D-INTEGER arrays (line) - on normal grid ALLOCATE( type_x_int(0:maximum_grid_level), & type_y_int(0:maximum_grid_level) ) CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_INTEGER, & type_x_int(0), ierr ) CALL MPI_TYPE_COMMIT( type_x_int(0), ierr ) CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_INTEGER, type_y_int(0), ierr ) CALL MPI_TYPE_COMMIT( type_y_int(0), ierr ) ! !-- Calculate gridpoint numbers for the exchange of ghost points along x !-- (yz-plane for 3D-arrays) and define MPI derived data type(s) for the !-- exchange of ghost points in y-direction (xz-plane). !-- Do these calculations for the model grid and (if necessary) also !-- for the coarser grid levels used in the multigrid method ALLOCATE ( ngp_xz(0:maximum_grid_level), ngp_yz(0:maximum_grid_level), & type_xz(0:maximum_grid_level), type_yz(0:maximum_grid_level) ) nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzb_l = nzb; nzt_l = nzt ! !-- Discern between the model grid, which needs nbgp ghost points and !-- grid levels for the multigrid scheme. In the latter case only one !-- ghost point is necessary. !-- First definition of MPI-datatypes for exchange of ghost layers on normal !-- grid. The following loop is needed for data exchange in poismg.f90. ! !-- Determine number of grid points of yz-layer for exchange ngp_yz(0) = (nzt - nzb + 2) * (nyn - nys + 1 + 2 * nbgp) ! !-- Define an MPI-datatype for the exchange of left/right boundaries. !-- Although data are contiguous in physical memory (which does not !-- necessarily require an MPI-derived datatype), the data exchange between !-- left and right PE's using the MPI-derived type is 10% faster than without. CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp*(nzt-nzb+2), ngp_yz(0), & MPI_REAL, type_xz(0), ierr ) CALL MPI_TYPE_COMMIT( type_xz(0), ierr ) CALL MPI_TYPE_VECTOR( nbgp, ngp_yz(0), ngp_yz(0), MPI_REAL, type_yz(0), & ierr ) CALL MPI_TYPE_COMMIT( type_yz(0), ierr ) ! !-- Definition of MPI-datatypes for multigrid method (coarser level grids) IF ( psolver(1:9) == 'multigrid' ) THEN ! !-- Definition of MPI-datatyoe as above, but only 1 ghost level is used DO i = maximum_grid_level, 1 , -1 ! !-- For 3D-exchange ngp_xz(i) = (nzt_l - nzb_l + 2) * (nxr_l - nxl_l + 3) ngp_yz(i) = (nzt_l - nzb_l + 2) * (nyn_l - nys_l + 3) CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+3, nzt_l-nzb_l+2, ngp_yz(i), & MPI_REAL, type_xz(i), ierr ) CALL MPI_TYPE_COMMIT( type_xz(i), ierr ) CALL MPI_TYPE_VECTOR( 1, ngp_yz(i), ngp_yz(i), MPI_REAL, type_yz(i), & ierr ) CALL MPI_TYPE_COMMIT( type_yz(i), ierr ) !-- For 2D-exchange of INTEGER arrays on coarser grid level, where 2 ghost !-- points need to be exchanged. CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+5, 2, nyn_l-nys_l+5, MPI_INTEGER, & type_x_int(i), ierr ) CALL MPI_TYPE_COMMIT( type_x_int(i), ierr ) CALL MPI_TYPE_VECTOR( 2, nyn_l-nys_l+5, nyn_l-nys_l+5, MPI_INTEGER, & type_y_int(i), ierr ) CALL MPI_TYPE_COMMIT( type_y_int(i), ierr ) nxl_l = nxl_l / 2 nxr_l = nxr_l / 2 nys_l = nys_l / 2 nyn_l = nyn_l / 2 nzt_l = nzt_l / 2 ENDDO ENDIF ! !-- Define data types for exchange of 3D Integer arrays. ngp_yz_int = (nzt - nzb + 2) * (nyn - nys + 1 + 2 * nbgp) CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp*(nzt-nzb+2), ngp_yz_int, & MPI_INTEGER, type_xz_int, ierr ) CALL MPI_TYPE_COMMIT( type_xz_int, ierr ) CALL MPI_TYPE_VECTOR( nbgp, ngp_yz_int, ngp_yz_int, MPI_INTEGER, type_yz_int, & ierr ) CALL MPI_TYPE_COMMIT( type_yz_int, ierr ) #endif #if defined( __parallel ) ! !-- Setting of flags for inflow/outflow/nesting conditions. IF ( pleft == MPI_PROC_NULL ) THEN IF ( bc_lr == 'dirichlet/radiation' ) THEN inflow_l = .TRUE. ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN outflow_l = .TRUE. ELSEIF ( bc_lr == 'nested' ) THEN nest_bound_l = .TRUE. ENDIF ENDIF IF ( pright == MPI_PROC_NULL ) THEN IF ( bc_lr == 'dirichlet/radiation' ) THEN outflow_r = .TRUE. ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN inflow_r = .TRUE. ELSEIF ( bc_lr == 'nested' ) THEN nest_bound_r = .TRUE. ENDIF ENDIF IF ( psouth == MPI_PROC_NULL ) THEN IF ( bc_ns == 'dirichlet/radiation' ) THEN outflow_s = .TRUE. ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN inflow_s = .TRUE. ELSEIF ( bc_ns == 'nested' ) THEN nest_bound_s = .TRUE. ENDIF ENDIF IF ( pnorth == MPI_PROC_NULL ) THEN IF ( bc_ns == 'dirichlet/radiation' ) THEN inflow_n = .TRUE. ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN outflow_n = .TRUE. ELSEIF ( bc_ns == 'nested' ) THEN nest_bound_n = .TRUE. ENDIF ENDIF ! !-- Broadcast the id of the inflow PE IF ( inflow_l ) THEN id_inflow_l = myidx ELSE id_inflow_l = 0 ENDIF IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) CALL MPI_ALLREDUCE( id_inflow_l, id_inflow, 1, MPI_INTEGER, MPI_SUM, & comm1dx, ierr ) ! !-- Broadcast the id of the recycling plane !-- WARNING: needs to be adjusted in case of inflows other than from left side! IF ( NINT( recycling_width / dx ) >= nxl .AND. & NINT( recycling_width / dx ) <= nxr ) THEN id_recycling_l = myidx ELSE id_recycling_l = 0 ENDIF IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) CALL MPI_ALLREDUCE( id_recycling_l, id_recycling, 1, MPI_INTEGER, MPI_SUM, & comm1dx, ierr ) ! !-- Broadcast the id of the outflow PE and outflow-source plane IF ( turbulent_outflow ) THEN IF ( outflow_r ) THEN id_outflow_l = myidx ELSE id_outflow_l = 0 ENDIF IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) CALL MPI_ALLREDUCE( id_outflow_l, id_outflow, 1, MPI_INTEGER, MPI_SUM, & comm1dx, ierr ) IF ( NINT( outflow_source_plane / dx ) >= nxl .AND. & NINT( outflow_source_plane / dx ) <= nxr ) THEN id_outflow_source_l = myidx ELSE id_outflow_source_l = 0 ENDIF IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) CALL MPI_ALLREDUCE( id_outflow_source_l, id_outflow_source, 1, & MPI_INTEGER, MPI_SUM, comm1dx, ierr ) ENDIF CALL location_message( 'finished', .TRUE. ) #else IF ( bc_lr == 'dirichlet/radiation' ) THEN inflow_l = .TRUE. outflow_r = .TRUE. ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN outflow_l = .TRUE. inflow_r = .TRUE. ENDIF IF ( bc_ns == 'dirichlet/radiation' ) THEN inflow_n = .TRUE. outflow_s = .TRUE. ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN outflow_n = .TRUE. inflow_s = .TRUE. ENDIF #endif ! !-- At the inflow or outflow, u or v, respectively, have to be calculated for !-- one more grid point. IF ( inflow_l .OR. outflow_l .OR. nest_bound_l ) THEN nxlu = nxl + 1 ELSE nxlu = nxl ENDIF IF ( inflow_s .OR. outflow_s .OR. nest_bound_s ) THEN nysv = nys + 1 ELSE nysv = nys ENDIF ! !-- Allocate wall flag arrays used in the multigrid solver IF ( psolver(1:9) == 'multigrid' ) THEN DO i = maximum_grid_level, 1, -1 SELECT CASE ( i ) CASE ( 1 ) ALLOCATE( wall_flags_1(nzb:nzt_mg(i)+1, & nys_mg(i)-1:nyn_mg(i)+1, & nxl_mg(i)-1:nxr_mg(i)+1) ) CASE ( 2 ) ALLOCATE( wall_flags_2(nzb:nzt_mg(i)+1, & nys_mg(i)-1:nyn_mg(i)+1, & nxl_mg(i)-1:nxr_mg(i)+1) ) CASE ( 3 ) ALLOCATE( wall_flags_3(nzb:nzt_mg(i)+1, & nys_mg(i)-1:nyn_mg(i)+1, & nxl_mg(i)-1:nxr_mg(i)+1) ) CASE ( 4 ) ALLOCATE( wall_flags_4(nzb:nzt_mg(i)+1, & nys_mg(i)-1:nyn_mg(i)+1, & nxl_mg(i)-1:nxr_mg(i)+1) ) CASE ( 5 ) ALLOCATE( wall_flags_5(nzb:nzt_mg(i)+1, & nys_mg(i)-1:nyn_mg(i)+1, & nxl_mg(i)-1:nxr_mg(i)+1) ) CASE ( 6 ) ALLOCATE( wall_flags_6(nzb:nzt_mg(i)+1, & nys_mg(i)-1:nyn_mg(i)+1, & nxl_mg(i)-1:nxr_mg(i)+1) ) CASE ( 7 ) ALLOCATE( wall_flags_7(nzb:nzt_mg(i)+1, & nys_mg(i)-1:nyn_mg(i)+1, & nxl_mg(i)-1:nxr_mg(i)+1) ) CASE ( 8 ) ALLOCATE( wall_flags_8(nzb:nzt_mg(i)+1, & nys_mg(i)-1:nyn_mg(i)+1, & nxl_mg(i)-1:nxr_mg(i)+1) ) CASE ( 9 ) ALLOCATE( wall_flags_9(nzb:nzt_mg(i)+1, & nys_mg(i)-1:nyn_mg(i)+1, & nxl_mg(i)-1:nxr_mg(i)+1) ) CASE ( 10 ) ALLOCATE( wall_flags_10(nzb:nzt_mg(i)+1, & nys_mg(i)-1:nyn_mg(i)+1, & nxl_mg(i)-1:nxr_mg(i)+1) ) CASE DEFAULT message_string = 'more than 10 multigrid levels' CALL message( 'init_pegrid', 'PA0238', 1, 2, 0, 6, 0 ) END SELECT ENDDO ENDIF ! !-- Calculate the number of groups into which parallel I/O is split. !-- The default for files which are opened by all PEs (or where each !-- PE opens his own independent file) is, that all PEs are doing input/output !-- in parallel at the same time. This might cause performance or even more !-- severe problems depending on the configuration of the underlying file !-- system. !-- First, set the default: IF ( maximum_parallel_io_streams == -1 .OR. & maximum_parallel_io_streams > numprocs ) THEN maximum_parallel_io_streams = numprocs ENDIF ! !-- Now calculate the number of io_blocks and the io_group to which the !-- respective PE belongs. I/O of the groups is done in serial, but in parallel !-- for all PEs belonging to the same group. A preliminary setting with myid !-- based on MPI_COMM_WORLD has been done in parin. io_blocks = numprocs / maximum_parallel_io_streams io_group = MOD( myid+1, io_blocks ) END SUBROUTINE init_pegrid