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source: palm/trunk/SOURCE/init_pegrid.f90 @ 4625

Last change on this file since 4625 was 4564, checked in by raasch, 4 years ago
Vertical nesting method of Huq et al. (2019) removed
Property svn:keywords set to `Id`
File size: 53.2 KB

Rev	Line
[1682]	1	!> @file init_pegrid.f90
[2000]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1036]	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1036]	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
[4360]	17	! Copyright 1997-2020 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[254]	20	! Current revisions:
[1322]	21	! ------------------
[2201]	22	!
[3553]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: init_pegrid.f90 4564 2020-06-12 14:03:36Z oliver.maas $
[4564]	27	! Vertical nesting method of Huq et al. (2019) removed
	28	!
	29	! 4461 2020-03-12 16:51:59Z raasch
[4461]	30	! communicator configurations for four virtual pe grids defined
	31	!
	32	! 4444 2020-03-05 15:59:50Z raasch
[4444]	33	! bugfix: cpp-directives for serial mode added
	34	!
	35	! 4360 2020-01-07 11:25:50Z suehring
[4301]	36	! changed message PA0467
	37	!
	38	! 4264 2019-10-15 16:00:23Z scharf
[4264]	39	! corrected error message string
	40	!
	41	! 4241 2019-09-27 06:32:47Z raasch
[4241]	42	! Check added to ensure that subdomain grid has at least the size as given by the number
	43	! of ghost points
	44	!
	45	! 4182 2019-08-22 15:20:23Z scharf
[4182]	46	! Corrected "Former revisions" section
	47	!
	48	! 4045 2019-06-21 10:58:47Z raasch
[4045]	49	! bugfix: kind attribute added to nint function to allow for large integers which may appear in
	50	! case of default recycling width and small grid spacings
	51	!
	52	! 3999 2019-05-23 16:09:37Z suehring
[3999]	53	! Spend 3 ghost points also in case of pw-scheme when nesting is applied
	54	!
	55	! 3897 2019-04-15 11:51:14Z suehring
[3897]	56	! Minor revision of multigrid check; give warning instead of an abort.
	57	!
	58	! 3890 2019-04-12 15:59:20Z suehring
[3890]	59	! Check if grid coarsening is possible on subdomain, in order to avoid that
	60	! multigrid approach effectively reduces to a Gauss-Seidel scheme.
	61	!
	62	! 3885 2019-04-11 11:29:34Z kanani
[3885]	63	! Changes related to global restructuring of location messages and introduction
	64	! of additional debug messages
	65	!
	66	! 3884 2019-04-10 13:31:55Z Giersch
[3884]	67	! id_recycling is only calculated in case of tubulent inflow
	68	!
	69	! 3761 2019-02-25 15:31:42Z raasch
[3761]	70	! unused variable removed
	71	!
	72	! 3655 2019-01-07 16:51:22Z knoop
[3553]	73	! variables documented
[2259]	74	!
[4182]	75	! Revision 1.1 1997/07/24 11:15:09 raasch
	76	! Initial revision
	77	!
	78	!
[1]	79	! Description:
	80	! ------------
[1682]	81	!> Determination of the virtual processor topology (if not prescribed by the
	82	!> user)and computation of the grid point number and array bounds of the local
	83	!> domains.
[2696]	84	!> @todo: remove MPI-data types for 2D exchange on coarse multigrid level (not
	85	!> used any more)
[1]	86	!------------------------------------------------------------------------------!
[1682]	87	SUBROUTINE init_pegrid
	88
[1]	89
[1320]	90	USE control_parameters, &
[3182]	91	ONLY: bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, bc_dirichlet_s, &
	92	bc_lr, bc_ns, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
[4444]	93	bc_radiation_s, &
[3241]	94	grid_level, grid_level_count, maximum_grid_level, &
[4444]	95	message_string, mg_switch_to_pe0_level, &
	96	psolver
[1]	97
[4444]	98
	99	#if defined( __parallel )
	100	USE control_parameters, &
	101	ONLY: coupling_mode, coupling_topology, gathered_size, momentum_advec, &
	102	outflow_source_plane, recycling_width, scalar_advec, subdomain_size, &
	103	turbulent_inflow, turbulent_outflow, y_shift
	104
[1320]	105	USE grid_variables, &
	106	ONLY: dx
[4444]	107	#endif
[1320]	108
	109	USE indices, &
[4444]	110	ONLY: nnx, nny, nnz, nx, nxl, nxl_mg, &
	111	nxlu, nxr, nxr_mg, ny, nyn, nyn_mg, nys, nys_mg, &
[1320]	112	nysv, nz, nzb, nzt, nzt_mg, wall_flags_1, wall_flags_2, &
	113	wall_flags_3, wall_flags_4, wall_flags_5, wall_flags_6, &
	114	wall_flags_7, wall_flags_8, wall_flags_9, wall_flags_10
[1]	115
[4444]	116	#if defined( __parallel )
	117	USE indices, &
	118	ONLY: mg_loc_ind, nbgp, nx_a, nx_o, ny_a, ny_o
	119	#endif
	120
[1320]	121	USE kinds
	122
	123	USE pegrid
[3999]	124
[4444]	125	#if defined( __parallel )
[3999]	126	USE pmc_interface, &
	127	ONLY: nested_run
[4444]	128
[1833]	129	USE spectra_mod, &
[4444]	130	ONLY: calculate_spectra
[1833]	131
[2259]	132	USE synthetic_turbulence_generator_mod, &
[2938]	133	ONLY: id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
	134	use_syn_turb_gen
[4444]	135	#endif
[2259]	136
[1320]	137	USE transpose_indices, &
[4444]	138	ONLY: nxl_y, nxl_z, nxr_y, nxr_z, nyn_x, nyn_z, nys_x,&
	139	nys_z, nzb_x, nzb_y, nzt_x, nzt_y
[667]	140
[4444]	141	#if defined( __parallel )
	142	USE transpose_indices, &
	143	ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd
	144	#endif
[2365]	145
[1]	146	IMPLICIT NONE
	147
[3552]	148	INTEGER(iwp) :: i !< running index over number of processors or number of multigrid level
[4444]	149	#if defined( __parallel )
[3552]	150	INTEGER(iwp) :: id_inflow_l !< ID indicating processors located at the left inflow boundary
[2050]	151	INTEGER(iwp) :: id_outflow_l !< local value of id_outflow
	152	INTEGER(iwp) :: id_outflow_source_l !< local value of id_outflow_source
[3552]	153	INTEGER(iwp) :: id_recycling_l !< ID indicating processors located at the recycling plane
[2938]	154	INTEGER(iwp) :: id_stg_left_l !< left lateral boundary local core id in case of turbulence generator
	155	INTEGER(iwp) :: id_stg_north_l !< north lateral boundary local core id in case of turbulence generator
	156	INTEGER(iwp) :: id_stg_right_l !< right lateral boundary local core id in case of turbulence generator
	157	INTEGER(iwp) :: id_stg_south_l !< south lateral boundary local core id in case of turbulence generator
[3552]	158	INTEGER(iwp) :: ind(5) !< array containing the subdomain bounds
[4444]	159	#endif
[3552]	160	INTEGER(iwp) :: j !< running index, used for various loops
	161	INTEGER(iwp) :: k !< number of vertical grid points in different multigrid level
	162	INTEGER(iwp) :: maximum_grid_level_l !< maximum number of grid level without switching to PE 0
	163	INTEGER(iwp) :: mg_levels_x !< maximum number of grid level allowed along x-direction
	164	INTEGER(iwp) :: mg_levels_y !< maximum number of grid level allowed along y-direction
	165	INTEGER(iwp) :: mg_levels_z !< maximum number of grid level allowed along z-direction
	166	INTEGER(iwp) :: mg_switch_to_pe0_level_l !< maximum number of grid level with switching to PE 0
[4444]	167	#if defined( __parallel )
[3552]	168	INTEGER(iwp) :: nnx_y !< quotient of number of grid points along x-direction and number of PEs used along y-direction
	169	INTEGER(iwp) :: nny_x !< quotient of number of grid points along y-direction and number of PEs used along x-direction
	170	INTEGER(iwp) :: nny_z !< quotient of number of grid points along y-direction and number of PEs used along x-direction
	171	INTEGER(iwp) :: nnz_x !< quotient of number of grid points along z-direction and number of PEs used along x-direction
	172	INTEGER(iwp) :: nnz_y !< quotient of number of grid points along z-direction and number of PEs used along x-direction
	173	INTEGER(iwp) :: numproc_sqr !< square root of the number of processors
[4444]	174	#endif
[3552]	175	INTEGER(iwp) :: nxl_l !< lower index bound along x-direction on subdomain and different multigrid level
	176	INTEGER(iwp) :: nxr_l !< upper index bound along x-direction on subdomain and different multigrid level
	177	INTEGER(iwp) :: nyn_l !< lower index bound along y-direction on subdomain and different multigrid level
	178	INTEGER(iwp) :: nys_l !< upper index bound along y-direction on subdomain and different multigrid level
[4444]	179	#if defined( __parallel )
[3552]	180	INTEGER(iwp) :: nzb_l !< lower index bound along z-direction on subdomain and different multigrid level
[4444]	181	#endif
[3552]	182	INTEGER(iwp) :: nzt_l !< upper index bound along z-direction on subdomain and different multigrid level
	183	!$ INTEGER(iwp) :: omp_get_num_threads !< number of OpenMP threads
[1]	184
[4444]	185	#if defined( __parallel )
[3552]	186	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ind_all !< dummy array containing index bounds on subdomain, used for gathering
	187	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nxlf !< lower index bound allong x-direction for every PE
	188	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nxrf !< upper index bound allong x-direction for every PE
	189	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nynf !< lower index bound allong y-direction for every PE
	190	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nysf !< lower index bound allong y-direction for every PE
[1]	191
[3552]	192	INTEGER(iwp), DIMENSION(2) :: pdims_remote !< number of PEs used for coupled model (only in atmospher-ocean coupling)
[2372]	193	INTEGER(iwp) :: lcoord(2) !< PE coordinates of left neighbor along x and y
	194	INTEGER(iwp) :: rcoord(2) !< PE coordinates of right neighbor along x and y
[4444]	195	#endif
[667]	196
[1]	197	!
	198	!-- Get the number of OpenMP threads
	199	!$OMP PARALLEL
	200	!$ threads_per_task = omp_get_num_threads()
	201	!$OMP END PARALLEL
	202
	203
	204	#if defined( __parallel )
[667]	205
[3885]	206	CALL location_message( 'creating virtual PE grids + MPI derived data types', 'start' )
[1764]	207
[1]	208	!
[2177]	209	!-- Determine the processor topology or check it, if prescribed by the user
[1779]	210	IF ( npex == -1 .AND. npey == -1 ) THEN
[1]	211
	212	!
[2177]	213	!-- Automatic determination of the topology
[1779]	214	numproc_sqr = SQRT( REAL( numprocs, KIND=wp ) )
	215	pdims(1) = MAX( numproc_sqr , 1 )
[2180]	216	DO WHILE ( MOD( numprocs , pdims(1) ) /= 0 )
[1779]	217	pdims(1) = pdims(1) - 1
	218	ENDDO
[2180]	219	pdims(2) = numprocs / pdims(1)
[1]	220
[1779]	221	ELSEIF ( npex /= -1 .AND. npey /= -1 ) THEN
[1]	222
	223	!
[1779]	224	!-- Prescribed by user. Number of processors on the prescribed topology
	225	!-- must be equal to the number of PEs available to the job
	226	IF ( ( npex * npey ) /= numprocs ) THEN
[3045]	227	WRITE( message_string, * ) 'number of PEs of the prescribed ', &
[3046]	228	'topology (', npex*npey,') does not match & the number of ', &
[1779]	229	'PEs available to the job (', numprocs, ')'
	230	CALL message( 'init_pegrid', 'PA0221', 1, 2, 0, 6, 0 )
	231	ENDIF
	232	pdims(1) = npex
	233	pdims(2) = npey
[1]	234
[1779]	235	ELSE
[1]	236	!
[1779]	237	!-- If the processor topology is prescribed by the user, the number of
	238	!-- PEs must be given in both directions
[3045]	239	message_string = 'if the processor topology is prescribed by th' // &
[3046]	240	'e user & both values of "npex" and "npey" must be given' // &
[1779]	241	' in the &NAMELIST-parameter file'
	242	CALL message( 'init_pegrid', 'PA0222', 1, 2, 0, 6, 0 )
[1]	243
	244	ENDIF
	245
	246	!
[4461]	247	!-- Create four default MPI communicators for the 2d virtual PE grid. One of them will be used
	248	!-- as the main communicator for this run, while others might be used for specific quantities like
	249	!-- aerosol, chemical species, or passive scalars), if their horizontal boundary conditions shall
	250	!-- be different from those of the other quantities (e.g. non-cyclic conditions for aerosols, and
	251	!-- cyclic conditions for all others).
	252	DO i = 1, 4
	253
	254	IF ( i == 1 ) cyclic = (/ .TRUE., .TRUE. /) ! cyclic along x and y
	255	IF ( i == 2 ) cyclic = (/ .TRUE., .FALSE. /) ! cyclic along x
	256	IF ( i == 3 ) cyclic = (/ .FALSE., .TRUE. /) ! cyllic along y
	257	IF ( i == 4 ) cyclic = (/ .FALSE., .FALSE. /) ! non-cyclic
	258
	259	CALL MPI_CART_CREATE( comm_palm, ndim, pdims, cyclic, reorder, &
	260	communicator_configurations(i)%mpi_communicator, ierr )
	261
	262	CALL MPI_CART_SHIFT( communicator_configurations(i)%mpi_communicator, 0, 1, &
	263	communicator_configurations(i)%pleft, &
	264	communicator_configurations(i)%pright, ierr )
	265
	266	CALL MPI_CART_SHIFT( communicator_configurations(i)%mpi_communicator, 1, 1, &
	267	communicator_configurations(i)%psouth, &
	268	communicator_configurations(i)%pnorth, ierr )
	269
	270	ENDDO
	271
	272	!
[1]	273	!-- If necessary, set horizontal boundary conditions to non-cyclic
[722]	274	IF ( bc_lr /= 'cyclic' ) cyclic(1) = .FALSE.
	275	IF ( bc_ns /= 'cyclic' ) cyclic(2) = .FALSE.
[1]	276
[807]	277
[1]	278	!
[4461]	279	!-- Set the main communicator (virtual pe grid) for this run
	280	IF ( bc_lr == 'cyclic' .AND. bc_ns == 'cyclic' ) i = 1
	281	IF ( bc_lr == 'cyclic' .AND. bc_ns /= 'cyclic' ) i = 2
	282	IF ( bc_lr /= 'cyclic' .AND. bc_ns == 'cyclic' ) i = 3
	283	IF ( bc_lr /= 'cyclic' .AND. bc_ns /= 'cyclic' ) i = 4
	284
	285	comm2d = communicator_configurations(i)%mpi_communicator
	286	pleft = communicator_configurations(i)%pleft
	287	pright = communicator_configurations(i)%pright
	288	psouth = communicator_configurations(i)%psouth
	289	pnorth = communicator_configurations(i)%pnorth
	290
	291	!
	292	!-- Set rank and coordinates of the main communicator
[1]	293	CALL MPI_COMM_RANK( comm2d, myid, ierr )
[1468]	294	WRITE (myid_char,'(''_'',I6.6)') myid
[1]	295
	296	CALL MPI_CART_COORDS( comm2d, myid, ndim, pcoord, ierr )
[4461]	297
[1]	298	!
[2372]	299	!-- In case of cyclic boundary conditions, a y-shift at the boundaries in
	300	!-- x-direction can be introduced via parameter y_shift. The shift is done
	301	!-- by modifying the processor grid in such a way that processors located
	302	!-- at the x-boundary communicate across it to processors with y-coordinate
	303	!-- shifted by y_shift relative to their own. This feature can not be used
	304	!-- in combination with an fft pressure solver. It has been implemented to
	305	!-- counter the effect of streak structures in case of cyclic boundary
	306	!-- conditions. For a description of these see Munters
	307	!-- (2016; dx.doi.org/10.1063/1.4941912)
	308	!--
	309	!-- Get coordinates of left and right neighbor on PE grid
	310	IF ( y_shift /= 0 ) THEN
[4301]	311	IF ( bc_lr == 'cyclic' ) THEN
	312	IF ( TRIM( psolver ) /= 'multigrid' .AND. &
	313	TRIM( psolver ) /= 'multigrid_noopt') &
	314	THEN
	315	message_string = 'y_shift /= 0 requires a multigrid pressure solver '
	316	CALL message( 'check_parameters', 'PA0468', 1, 2, 0, 6, 0 )
	317	ENDIF
[2372]	318
[4301]	319	CALL MPI_CART_COORDS( comm2d, pright, ndim, rcoord, ierr )
	320	CALL MPI_CART_COORDS( comm2d, pleft, ndim, lcoord, ierr )
[2372]	321
[4301]	322	!
	323	!-- If the x(y)-coordinate of the right (left) neighbor is smaller (greater)
	324	!-- than that of the calling process, then the calling process is located on
	325	!-- the right (left) boundary of the processor grid. In that case,
	326	!-- the y-coordinate of that neighbor is increased (decreased) by y_shift.
	327	!-- The rank of the process with that coordinate is then inquired and the
	328	!-- neighbor rank for MPI_SENDRECV, pright (pleft) is set to it.
	329	!-- In this way, the calling process receives a new right (left) neighbor
	330	!-- for all future MPI_SENDRECV calls. That neighbor has a y-coordinate
	331	!-- of y+(-)y_shift, where y is the original right (left) neighbor's
	332	!-- y-coordinate. The modulo-operation ensures that if the neighbor's
	333	!-- y-coordinate exceeds the grid-boundary, it will be relocated to
	334	!-- the opposite part of the grid cyclicly.
	335	IF ( rcoord(1) < pcoord(1) ) THEN
	336	rcoord(2) = MODULO( rcoord(2) + y_shift, pdims(2) )
	337	CALL MPI_CART_RANK( comm2d, rcoord, pright, ierr )
	338	ENDIF
[2372]	339
[4301]	340	IF ( lcoord(1) > pcoord(1) ) THEN
	341	lcoord(2) = MODULO( lcoord(2) - y_shift, pdims(2) )
	342	CALL MPI_CART_RANK( comm2d, lcoord, pleft, ierr )
	343	ENDIF
	344
	345	ELSE
[2372]	346	!
[4301]	347	!-- y-shift for non-cyclic boundary conditions is only implemented
	348	!-- for the turbulence recycling method in inflow_turbulence.f90
	349	IF ( .NOT. turbulent_inflow ) THEN
	350	message_string = 'y_shift /= 0 is only allowed for cyclic ' // &
	351	'boundary conditions in both directions ' // &
	352	'or with turbulent_inflow == .TRUE.'
	353	CALL message( 'check_parameters', 'PA0467', 1, 2, 0, 6, 0 )
	354	ENDIF
[2372]	355	ENDIF
	356	ENDIF
[4461]	357
[2372]	358	!
[1]	359	!-- Determine sub-topologies for transpositions
	360	!-- Transposition from z to x:
	361	remain_dims(1) = .TRUE.
	362	remain_dims(2) = .FALSE.
	363	CALL MPI_CART_SUB( comm2d, remain_dims, comm1dx, ierr )
	364	CALL MPI_COMM_RANK( comm1dx, myidx, ierr )
	365	!
	366	!-- Transposition from x to y
	367	remain_dims(1) = .FALSE.
	368	remain_dims(2) = .TRUE.
	369	CALL MPI_CART_SUB( comm2d, remain_dims, comm1dy, ierr )
	370	CALL MPI_COMM_RANK( comm1dy, myidy, ierr )
	371
	372
	373	!
[1003]	374	!-- Calculate array bounds along x-direction for every PE.
[3045]	375	ALLOCATE( nxlf(0:pdims(1)-1), nxrf(0:pdims(1)-1), nynf(0:pdims(2)-1), &
[1003]	376	nysf(0:pdims(2)-1) )
[1]	377
[1003]	378	IF ( MOD( nx+1 , pdims(1) ) /= 0 ) THEN
[3045]	379	WRITE( message_string, * ) 'x-direction: gridpoint number (',nx+1,') ', &
[4264]	380	'is not an& integral multiple of the number',&
	381	' of processors (',pdims(1),')'
[254]	382	CALL message( 'init_pegrid', 'PA0225', 1, 2, 0, 6, 0 )
[1]	383	ELSE
[1003]	384	nnx = ( nx + 1 ) / pdims(1)
[4264]	385	ENDIF
[1]	386
	387	!
	388	!-- Left and right array bounds, number of gridpoints
	389	DO i = 0, pdims(1)-1
	390	nxlf(i) = i * nnx
	391	nxrf(i) = ( i + 1 ) * nnx - 1
	392	ENDDO
	393
	394	!
	395	!-- Calculate array bounds in y-direction for every PE.
[1003]	396	IF ( MOD( ny+1 , pdims(2) ) /= 0 ) THEN
[274]	397	WRITE( message_string, * ) 'y-direction: gridpoint number (',ny+1,') ', &
[4264]	398	'is not an& integral multiple of the number',&
	399	' of processors (',pdims(2),')'
[254]	400	CALL message( 'init_pegrid', 'PA0227', 1, 2, 0, 6, 0 )
[1]	401	ELSE
[1003]	402	nny = ( ny + 1 ) / pdims(2)
[4264]	403	ENDIF
[1]	404
	405	!
	406	!-- South and north array bounds
	407	DO j = 0, pdims(2)-1
	408	nysf(j) = j * nny
	409	nynf(j) = ( j + 1 ) * nny - 1
	410	ENDDO
	411
	412	!
	413	!-- Local array bounds of the respective PEs
[1003]	414	nxl = nxlf(pcoord(1))
	415	nxr = nxrf(pcoord(1))
	416	nys = nysf(pcoord(2))
	417	nyn = nynf(pcoord(2))
	418	nzb = 0
	419	nzt = nz
	420	nnz = nz
[1]	421
	422	!
[707]	423	!-- Set switches to define if the PE is situated at the border of the virtual
	424	!-- processor grid
	425	IF ( nxl == 0 ) left_border_pe = .TRUE.
	426	IF ( nxr == nx ) right_border_pe = .TRUE.
	427	IF ( nys == 0 ) south_border_pe = .TRUE.
	428	IF ( nyn == ny ) north_border_pe = .TRUE.
	429
	430	!
[1]	431	!-- Calculate array bounds and gridpoint numbers for the transposed arrays
	432	!-- (needed in the pressure solver)
	433	!-- For the transposed arrays, cyclic boundaries as well as top and bottom
	434	!-- boundaries are omitted, because they are obstructive to the transposition
	435
	436	!
	437	!-- 1. transposition z --> x
[1001]	438	!-- This transposition is not neccessary in case of a 1d-decomposition along x
[2938]	439	IF ( psolver == 'poisfft' .OR. calculate_spectra ) THEN
[1304]	440
[1922]	441	IF ( pdims(2) /= 1 ) THEN
	442	IF ( MOD( nz , pdims(1) ) /= 0 ) THEN
[4264]	443	WRITE( message_string, * ) 'transposition z --> x:& ', &
	444	'nz=',nz,' is not an integral multiple ',&
	445	'of pdims(1)=',pdims(1)
[1922]	446	CALL message( 'init_pegrid', 'PA0230', 1, 2, 0, 6, 0 )
	447	ENDIF
[1]	448	ENDIF
[1922]	449
	450	nys_x = nys
	451	nyn_x = nyn
	452	nny_x = nny
	453	nnz_x = nz / pdims(1)
	454	nzb_x = 1 + myidx * nnz_x
	455	nzt_x = ( myidx + 1 ) * nnz_x
	456	sendrecvcount_zx = nnx * nny * nnz_x
	457
[1]	458	ENDIF
	459
[1922]	460
[4264]	461	IF ( psolver == 'poisfft' ) THEN
[1]	462	!
[1922]	463	!-- 2. transposition x --> y
	464	IF ( MOD( nx+1 , pdims(2) ) /= 0 ) THEN
[4264]	465	WRITE( message_string, * ) 'transposition x --> y:& ', &
	466	'nx+1=',nx+1,' is not an integral ', &
	467	'multiple of pdims(2)=',pdims(2)
[1922]	468	CALL message( 'init_pegrid', 'PA0231', 1, 2, 0, 6, 0 )
	469	ENDIF
[1]	470
[1922]	471	nnz_y = nnz_x
	472	nzb_y = nzb_x
	473	nzt_y = nzt_x
	474	nnx_y = (nx+1) / pdims(2)
	475	nxl_y = myidy * nnx_y
	476	nxr_y = ( myidy + 1 ) * nnx_y - 1
	477	sendrecvcount_xy = nnx_y * nny_x * nnz_y
[1]	478	!
[4264]	479	!-- 3. transposition y --> z
[1922]	480	!-- (ELSE: x --> y in case of 1D-decomposition along x)
	481	nxl_z = nxl_y
	482	nxr_z = nxr_y
	483	nny_z = (ny+1) / pdims(1)
	484	nys_z = myidx * nny_z
	485	nyn_z = ( myidx + 1 ) * nny_z - 1
	486	sendrecvcount_yz = nnx_y * nny_z * nnz_y
[1304]	487
[1922]	488	IF ( pdims(2) /= 1 ) THEN
[1]	489	!
[1922]	490	!-- y --> z
	491	!-- This transposition is not neccessary in case of a 1d-decomposition
	492	!-- along x, except that the uptream-spline method is switched on
	493	IF ( MOD( ny+1 , pdims(1) ) /= 0 ) THEN
[4264]	494	WRITE( message_string, * ) 'transposition y --> z:& ', &
	495	'ny+1=',ny+1,' is not an integral ', &
	496	'multiple of pdims(1)=',pdims(1)
[1922]	497	CALL message( 'init_pegrid', 'PA0232', 1, 2, 0, 6, 0 )
	498	ENDIF
[1]	499
[1922]	500	ELSE
[1]	501	!
[1922]	502	!-- x --> y
	503	!-- This condition must be fulfilled for a 1D-decomposition along x
	504	IF ( MOD( ny+1 , pdims(1) ) /= 0 ) THEN
[4264]	505	WRITE( message_string, * ) 'transposition x --> y:& ', &
	506	'ny+1=',ny+1,' is not an integral ', &
	507	'multiple of pdims(1)=',pdims(1)
[1922]	508	CALL message( 'init_pegrid', 'PA0233', 1, 2, 0, 6, 0 )
	509	ENDIF
	510
[1]	511	ENDIF
	512
	513	ENDIF
	514
	515	!
	516	!-- Indices for direct transpositions z --> y (used for calculating spectra)
[1922]	517	IF ( calculate_spectra ) THEN
[1003]	518	IF ( MOD( nz, pdims(2) ) /= 0 ) THEN
[1922]	519	WRITE( message_string, * ) 'direct transposition z --> y (needed ', &
[4264]	520	'for spectra):& nz=',nz,' is not an ', &
	521	'integral multiple of pdims(2)=',pdims(2)
[254]	522	CALL message( 'init_pegrid', 'PA0234', 1, 2, 0, 6, 0 )
[1]	523	ELSE
[1003]	524	nxl_yd = nxl
	525	nxr_yd = nxr
	526	nzb_yd = 1 + myidy * ( nz / pdims(2) )
	527	nzt_yd = ( myidy + 1 ) * ( nz / pdims(2) )
	528	sendrecvcount_zyd = nnx * nny * ( nz / pdims(2) )
[1]	529	ENDIF
	530	ENDIF
	531
[1922]	532	IF ( psolver == 'poisfft' .OR. calculate_spectra ) THEN
[1]	533	!
[1922]	534	!-- Indices for direct transpositions y --> x
	535	!-- (they are only possible in case of a 1d-decomposition along x)
	536	IF ( pdims(2) == 1 ) THEN
	537	nny_x = nny / pdims(1)
	538	nys_x = myid * nny_x
	539	nyn_x = ( myid + 1 ) * nny_x - 1
	540	nzb_x = 1
	541	nzt_x = nz
	542	sendrecvcount_xy = nnx * nny_x * nz
	543	ENDIF
	544
[1]	545	ENDIF
	546
[1922]	547	IF ( psolver == 'poisfft' ) THEN
[1]	548	!
[1922]	549	!-- Indices for direct transpositions x --> y
	550	!-- (they are only possible in case of a 1d-decomposition along y)
	551	IF ( pdims(1) == 1 ) THEN
	552	nnx_y = nnx / pdims(2)
	553	nxl_y = myid * nnx_y
	554	nxr_y = ( myid + 1 ) * nnx_y - 1
	555	nzb_y = 1
	556	nzt_y = nz
	557	sendrecvcount_xy = nnx_y * nny * nz
	558	ENDIF
	559
[1]	560	ENDIF
	561
	562	!
	563	!-- Arrays for storing the array bounds are needed any more
	564	DEALLOCATE( nxlf , nxrf , nynf , nysf )
	565
[807]	566
[145]	567	!
	568	!-- Collect index bounds from other PEs (to be written to restart file later)
	569	ALLOCATE( hor_index_bounds(4,0:numprocs-1) )
	570
	571	IF ( myid == 0 ) THEN
	572
	573	hor_index_bounds(1,0) = nxl
	574	hor_index_bounds(2,0) = nxr
	575	hor_index_bounds(3,0) = nys
	576	hor_index_bounds(4,0) = nyn
	577
	578	!
	579	!-- Receive data from all other PEs
	580	DO i = 1, numprocs-1
	581	CALL MPI_RECV( ibuf, 4, MPI_INTEGER, i, MPI_ANY_TAG, comm2d, status, &
	582	ierr )
	583	hor_index_bounds(:,i) = ibuf(1:4)
	584	ENDDO
	585
	586	ELSE
	587	!
	588	!-- Send index bounds to PE0
	589	ibuf(1) = nxl
	590	ibuf(2) = nxr
	591	ibuf(3) = nys
	592	ibuf(4) = nyn
	593	CALL MPI_SEND( ibuf, 4, MPI_INTEGER, 0, myid, comm2d, ierr )
	594
	595	ENDIF
	596
[807]	597
[1]	598	#if defined( __print )
	599	!
	600	!-- Control output
	601	IF ( myid == 0 ) THEN
	602	PRINT, ' processor topology *'
	603	PRINT*, ' '
	604	PRINT*, 'myid pcoord left right south north idx idy nxl: nxr',&
	605	&' nys: nyn'
	606	PRINT*, '------------------------------------------------------------',&
	607	&'-----------'
	608	WRITE (*,1000) 0, pcoord(1), pcoord(2), pleft, pright, psouth, pnorth, &
	609	myidx, myidy, nxl, nxr, nys, nyn
	610	1000 FORMAT (I4,2X,'(',I3,',',I3,')',3X,I4,2X,I4,3X,I4,2X,I4,2X,I3,1X,I3, &
	611	2(2X,I4,':',I4))
	612
	613	!
[108]	614	!-- Receive data from the other PEs
[1]	615	DO i = 1,numprocs-1
	616	CALL MPI_RECV( ibuf, 12, MPI_INTEGER, i, MPI_ANY_TAG, comm2d, status, &
	617	ierr )
	618	WRITE (*,1000) i, ( ibuf(j) , j = 1,12 )
	619	ENDDO
	620	ELSE
	621
	622	!
	623	!-- Send data to PE0
	624	ibuf(1) = pcoord(1); ibuf(2) = pcoord(2); ibuf(3) = pleft
	625	ibuf(4) = pright; ibuf(5) = psouth; ibuf(6) = pnorth; ibuf(7) = myidx
	626	ibuf(8) = myidy; ibuf(9) = nxl; ibuf(10) = nxr; ibuf(11) = nys
	627	ibuf(12) = nyn
	628	CALL MPI_SEND( ibuf, 12, MPI_INTEGER, 0, myid, comm2d, ierr )
	629	ENDIF
	630	#endif
	631
[667]	632	!
[709]	633	!-- Determine the number of ghost point layers
[3347]	634	IF ( scalar_advec == 'ws-scheme' .OR. &
[3999]	635	momentum_advec == 'ws-scheme' .OR. nested_run ) THEN
[667]	636	nbgp = 3
	637	ELSE
	638	nbgp = 1
[709]	639	ENDIF
[667]	640
[102]	641	!
[4241]	642	!-- Check that the number of computational grid points is not smaller than the number of
	643	!-- ghost points.
	644	IF ( nnx < nbgp ) THEN
	645	WRITE( message_string, * ) 'number of subdomain grid points along x (', nnx, ') is smaller',&
	646	'than the number of ghost points (', nbgp, ')'
	647	CALL message( 'init_pegrid', 'PA0682', 1, 2, 0, 6, 0 )
	648	ENDIF
	649	IF ( nny < nbgp ) THEN
	650	WRITE( message_string, * ) 'number of subdomain grid points along y (', nny, ') is smaller',&
	651	'than the number of ghost points (', nbgp, ')'
	652	CALL message( 'init_pegrid', 'PA0683', 1, 2, 0, 6, 0 )
	653	ENDIF
	654
	655	!
[709]	656	!-- Create a new MPI derived datatype for the exchange of surface (xy) data,
	657	!-- which is needed for coupled atmosphere-ocean runs.
	658	!-- First, calculate number of grid points of an xy-plane.
[667]	659	ngp_xy = ( nxr - nxl + 1 + 2 * nbgp ) * ( nyn - nys + 1 + 2 * nbgp )
[102]	660	CALL MPI_TYPE_VECTOR( ngp_xy, 1, nzt-nzb+2, MPI_REAL, type_xy, ierr )
	661	CALL MPI_TYPE_COMMIT( type_xy, ierr )
[667]	662
[4564]	663	IF ( TRIM( coupling_mode ) /= 'uncoupled' ) THEN
[667]	664
	665	!
	666	!-- Pass the number of grid points of the atmosphere model to
	667	!-- the ocean model and vice versa
	668	IF ( coupling_mode == 'atmosphere_to_ocean' ) THEN
	669
	670	nx_a = nx
	671	ny_a = ny
	672
[709]	673	IF ( myid == 0 ) THEN
	674
	675	CALL MPI_SEND( nx_a, 1, MPI_INTEGER, numprocs, 1, comm_inter, &
	676	ierr )
	677	CALL MPI_SEND( ny_a, 1, MPI_INTEGER, numprocs, 2, comm_inter, &
	678	ierr )
	679	CALL MPI_SEND( pdims, 2, MPI_INTEGER, numprocs, 3, comm_inter, &
	680	ierr )
	681	CALL MPI_RECV( nx_o, 1, MPI_INTEGER, numprocs, 4, comm_inter, &
	682	status, ierr )
	683	CALL MPI_RECV( ny_o, 1, MPI_INTEGER, numprocs, 5, comm_inter, &
	684	status, ierr )
	685	CALL MPI_RECV( pdims_remote, 2, MPI_INTEGER, numprocs, 6, &
[667]	686	comm_inter, status, ierr )
	687	ENDIF
	688
[709]	689	CALL MPI_BCAST( nx_o, 1, MPI_INTEGER, 0, comm2d, ierr )
	690	CALL MPI_BCAST( ny_o, 1, MPI_INTEGER, 0, comm2d, ierr )
	691	CALL MPI_BCAST( pdims_remote, 2, MPI_INTEGER, 0, comm2d, ierr )
[667]	692
	693	ELSEIF ( coupling_mode == 'ocean_to_atmosphere' ) THEN
	694
	695	nx_o = nx
	696	ny_o = ny
	697
	698	IF ( myid == 0 ) THEN
[709]	699
	700	CALL MPI_RECV( nx_a, 1, MPI_INTEGER, 0, 1, comm_inter, status, &
	701	ierr )
	702	CALL MPI_RECV( ny_a, 1, MPI_INTEGER, 0, 2, comm_inter, status, &
	703	ierr )
	704	CALL MPI_RECV( pdims_remote, 2, MPI_INTEGER, 0, 3, comm_inter, &
	705	status, ierr )
	706	CALL MPI_SEND( nx_o, 1, MPI_INTEGER, 0, 4, comm_inter, ierr )
	707	CALL MPI_SEND( ny_o, 1, MPI_INTEGER, 0, 5, comm_inter, ierr )
	708	CALL MPI_SEND( pdims, 2, MPI_INTEGER, 0, 6, comm_inter, ierr )
[667]	709	ENDIF
	710
	711	CALL MPI_BCAST( nx_a, 1, MPI_INTEGER, 0, comm2d, ierr)
	712	CALL MPI_BCAST( ny_a, 1, MPI_INTEGER, 0, comm2d, ierr)
	713	CALL MPI_BCAST( pdims_remote, 2, MPI_INTEGER, 0, comm2d, ierr)
	714
	715	ENDIF
	716
[709]	717	ngp_a = ( nx_a+1 + 2 * nbgp ) * ( ny_a+1 + 2 * nbgp )
	718	ngp_o = ( nx_o+1 + 2 * nbgp ) * ( ny_o+1 + 2 * nbgp )
[667]	719
	720	!
[709]	721	!-- Determine if the horizontal grid and the number of PEs in ocean and
	722	!-- atmosphere is same or not
	723	IF ( nx_o == nx_a .AND. ny_o == ny_a .AND. &
[667]	724	pdims(1) == pdims_remote(1) .AND. pdims(2) == pdims_remote(2) ) &
	725	THEN
	726	coupling_topology = 0
	727	ELSE
	728	coupling_topology = 1
	729	ENDIF
	730
	731	!
	732	!-- Determine the target PEs for the exchange between ocean and
	733	!-- atmosphere (comm2d)
[709]	734	IF ( coupling_topology == 0 ) THEN
	735	!
	736	!-- In case of identical topologies, every atmosphere PE has exactly one
	737	!-- ocean PE counterpart and vice versa
	738	IF ( TRIM( coupling_mode ) == 'atmosphere_to_ocean' ) THEN
[667]	739	target_id = myid + numprocs
	740	ELSE
	741	target_id = myid
	742	ENDIF
	743
	744	ELSE
	745	!
	746	!-- In case of nonequivalent topology in ocean and atmosphere only for
	747	!-- PE0 in ocean and PE0 in atmosphere a target_id is needed, since
[709]	748	!-- data echxchange between ocean and atmosphere will be done only
	749	!-- between these PEs.
	750	IF ( myid == 0 ) THEN
	751
	752	IF ( TRIM( coupling_mode ) == 'atmosphere_to_ocean' ) THEN
[667]	753	target_id = numprocs
	754	ELSE
	755	target_id = 0
	756	ENDIF
[709]	757
[667]	758	ENDIF
[709]	759
[667]	760	ENDIF
	761
	762	ENDIF
	763
[1]	764	#else
	765
	766	!
	767	!-- Array bounds when running on a single PE (respectively a non-parallel
	768	!-- machine)
[1003]	769	nxl = 0
	770	nxr = nx
	771	nnx = nxr - nxl + 1
	772	nys = 0
	773	nyn = ny
	774	nny = nyn - nys + 1
	775	nzb = 0
	776	nzt = nz
	777	nnz = nz
[1]	778
[145]	779	ALLOCATE( hor_index_bounds(4,0:0) )
	780	hor_index_bounds(1,0) = nxl
	781	hor_index_bounds(2,0) = nxr
	782	hor_index_bounds(3,0) = nys
	783	hor_index_bounds(4,0) = nyn
	784
[1]	785	!
	786	!-- Array bounds for the pressure solver (in the parallel code, these bounds
	787	!-- are the ones for the transposed arrays)
[1003]	788	nys_x = nys
	789	nyn_x = nyn
	790	nzb_x = nzb + 1
	791	nzt_x = nzt
[1]	792
[1003]	793	nxl_y = nxl
	794	nxr_y = nxr
	795	nzb_y = nzb + 1
	796	nzt_y = nzt
[1]	797
[1003]	798	nxl_z = nxl
	799	nxr_z = nxr
	800	nys_z = nys
	801	nyn_z = nyn
[1]	802
	803	#endif
	804
	805	!
	806	!-- Calculate number of grid levels necessary for the multigrid poisson solver
	807	!-- as well as the gridpoint indices on each level
[1575]	808	IF ( psolver(1:9) == 'multigrid' ) THEN
[1]	809
	810	!
	811	!-- First calculate number of possible grid levels for the subdomains
	812	mg_levels_x = 1
	813	mg_levels_y = 1
	814	mg_levels_z = 1
	815
	816	i = nnx
	817	DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 )
	818	i = i / 2
	819	mg_levels_x = mg_levels_x + 1
	820	ENDDO
	821
	822	j = nny
	823	DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 )
	824	j = j / 2
	825	mg_levels_y = mg_levels_y + 1
	826	ENDDO
	827
[181]	828	k = nz ! do not use nnz because it might be > nz due to transposition
	829	! requirements
[1]	830	DO WHILE ( MOD( k, 2 ) == 0 .AND. k /= 2 )
	831	k = k / 2
	832	mg_levels_z = mg_levels_z + 1
	833	ENDDO
[2197]	834	!
	835	!-- The optimized MG-solver does not allow odd values for nz at the coarsest
	836	!-- grid level
	837	IF ( TRIM( psolver ) /= 'multigrid_noopt' ) THEN
	838	IF ( MOD( k, 2 ) /= 0 ) mg_levels_z = mg_levels_z - 1
[3057]	839	!
	840	!-- An odd value of nz does not work. The finest level must have an even
	841	!-- value.
	842	IF ( mg_levels_z == 0 ) THEN
	843	message_string = 'optimized multigrid method requires nz to be even'
[3058]	844	CALL message( 'init_pegrid', 'PA0495', 1, 2, 0, 6, 0 )
[3057]	845	ENDIF
[2197]	846	ENDIF
[1]	847
	848	maximum_grid_level = MIN( mg_levels_x, mg_levels_y, mg_levels_z )
[3890]	849	!
	850	!-- Check if subdomain sizes prevents any coarsening.
	851	!-- This case, the maximum number of grid levels is 1, i.e. effectively
	852	!-- a Gauss-Seidel scheme is applied rather than a multigrid approach.
[3897]	853	!-- Give a warning in this case.
	854	IF ( maximum_grid_level == 1 .AND. mg_switch_to_pe0_level == -1 ) THEN
	855	message_string = 'No grid coarsening possible, multigrid ' // &
	856	'approach effectively reduces to a Gauss-Seidel ' //&
	857	'scheme.'
	858
	859	CALL message( 'poismg', 'PA0648', 0, 1, 0, 6, 0 )
[3890]	860	ENDIF
[1]	861
	862	!
	863	!-- Find out, if the total domain allows more levels. These additional
[709]	864	!-- levels are identically processed on all PEs.
[197]	865	IF ( numprocs > 1 .AND. mg_switch_to_pe0_level /= -1 ) THEN
[709]	866
[1]	867	IF ( mg_levels_z > MIN( mg_levels_x, mg_levels_y ) ) THEN
[709]	868
[1]	869	mg_switch_to_pe0_level_l = maximum_grid_level
	870
	871	mg_levels_x = 1
	872	mg_levels_y = 1
	873
	874	i = nx+1
	875	DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 )
	876	i = i / 2
	877	mg_levels_x = mg_levels_x + 1
	878	ENDDO
	879
	880	j = ny+1
	881	DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 )
	882	j = j / 2
	883	mg_levels_y = mg_levels_y + 1
	884	ENDDO
	885
	886	maximum_grid_level_l = MIN( mg_levels_x, mg_levels_y, mg_levels_z )
	887
	888	IF ( maximum_grid_level_l > mg_switch_to_pe0_level_l ) THEN
	889	mg_switch_to_pe0_level_l = maximum_grid_level_l - &
	890	mg_switch_to_pe0_level_l + 1
	891	ELSE
	892	mg_switch_to_pe0_level_l = 0
	893	ENDIF
[709]	894
[1]	895	ELSE
[3057]	896
[1]	897	mg_switch_to_pe0_level_l = 0
	898	maximum_grid_level_l = maximum_grid_level
[709]	899
[1]	900	ENDIF
	901
	902	!
	903	!-- Use switch level calculated above only if it is not pre-defined
	904	!-- by user
	905	IF ( mg_switch_to_pe0_level == 0 ) THEN
	906	IF ( mg_switch_to_pe0_level_l /= 0 ) THEN
	907	mg_switch_to_pe0_level = mg_switch_to_pe0_level_l
	908	maximum_grid_level = maximum_grid_level_l
	909	ENDIF
	910
	911	ELSE
	912	!
	913	!-- Check pre-defined value and reset to default, if neccessary
[3045]	914	IF ( mg_switch_to_pe0_level < mg_switch_to_pe0_level_l .OR. &
[1]	915	mg_switch_to_pe0_level >= maximum_grid_level_l ) THEN
[3045]	916	message_string = 'mg_switch_to_pe0_level ' // &
[2271]	917	'out of range and reset to 0'
[254]	918	CALL message( 'init_pegrid', 'PA0235', 0, 1, 0, 6, 0 )
[1]	919	mg_switch_to_pe0_level = 0
	920	ELSE
	921	!
	922	!-- Use the largest number of possible levels anyway and recalculate
	923	!-- the switch level to this largest number of possible values
	924	maximum_grid_level = maximum_grid_level_l
	925
	926	ENDIF
[709]	927
[1]	928	ENDIF
	929
	930	ENDIF
	931
[1056]	932	ALLOCATE( grid_level_count(maximum_grid_level), &
	933	nxl_mg(0:maximum_grid_level), nxr_mg(0:maximum_grid_level), &
	934	nyn_mg(0:maximum_grid_level), nys_mg(0:maximum_grid_level), &
	935	nzt_mg(0:maximum_grid_level) )
[1]	936
	937	grid_level_count = 0
[1056]	938	!
	939	!-- Index zero required as dummy due to definition of arrays f2 and p2 in
	940	!-- recursive subroutine next_mg_level
	941	nxl_mg(0) = 0; nxr_mg(0) = 0; nyn_mg(0) = 0; nys_mg(0) = 0; nzt_mg(0) = 0
[778]	942
[1]	943	nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzt_l = nzt
	944
	945	DO i = maximum_grid_level, 1 , -1
	946
	947	IF ( i == mg_switch_to_pe0_level ) THEN
[1804]	948	#if defined( __parallel )
[1]	949	!
	950	!-- Save the grid size of the subdomain at the switch level, because
	951	!-- it is needed in poismg.
	952	ind(1) = nxl_l; ind(2) = nxr_l
	953	ind(3) = nys_l; ind(4) = nyn_l
	954	ind(5) = nzt_l
	955	ALLOCATE( ind_all(5*numprocs), mg_loc_ind(5,0:numprocs-1) )
	956	CALL MPI_ALLGATHER( ind, 5, MPI_INTEGER, ind_all, 5, &
	957	MPI_INTEGER, comm2d, ierr )
	958	DO j = 0, numprocs-1
	959	DO k = 1, 5
	960	mg_loc_ind(k,j) = ind_all(k+j*5)
	961	ENDDO
	962	ENDDO
	963	DEALLOCATE( ind_all )
	964	!
[709]	965	!-- Calculate the grid size of the total domain
[1]	966	nxr_l = ( nxr_l-nxl_l+1 ) * pdims(1) - 1
	967	nxl_l = 0
	968	nyn_l = ( nyn_l-nys_l+1 ) * pdims(2) - 1
	969	nys_l = 0
	970	!
	971	!-- The size of this gathered array must not be larger than the
	972	!-- array tend, which is used in the multigrid scheme as a temporary
[778]	973	!-- array. Therefore the subdomain size of an PE is calculated and
	974	!-- the size of the gathered grid. These values are used in
	975	!-- routines pres and poismg
	976	subdomain_size = ( nxr - nxl + 2 * nbgp + 1 ) * &
	977	( nyn - nys + 2 * nbgp + 1 ) * ( nzt - nzb + 2 )
[3045]	978	gathered_size = ( nxr_l - nxl_l + 3 ) * ( nyn_l - nys_l + 3 ) * &
[1]	979	( nzt_l - nzb + 2 )
	980
[1804]	981	#else
[3045]	982	message_string = 'multigrid gather/scatter impossible ' // &
[1]	983	'in non parallel mode'
[254]	984	CALL message( 'init_pegrid', 'PA0237', 1, 2, 0, 6, 0 )
[1]	985	#endif
	986	ENDIF
	987
	988	nxl_mg(i) = nxl_l
	989	nxr_mg(i) = nxr_l
	990	nys_mg(i) = nys_l
	991	nyn_mg(i) = nyn_l
	992	nzt_mg(i) = nzt_l
	993
	994	nxl_l = nxl_l / 2
	995	nxr_l = nxr_l / 2
	996	nys_l = nys_l / 2
	997	nyn_l = nyn_l / 2
	998	nzt_l = nzt_l / 2
[3890]	999
[1]	1000	ENDDO
	1001
[780]	1002	!
[3045]	1003	!-- Temporary problem: Currently calculation of maxerror in routine poismg crashes
[780]	1004	!-- if grid data are collected on PE0 already on the finest grid level.
	1005	!-- To be solved later.
	1006	IF ( maximum_grid_level == mg_switch_to_pe0_level ) THEN
	1007	message_string = 'grid coarsening on subdomain level cannot be performed'
	1008	CALL message( 'poismg', 'PA0236', 1, 2, 0, 6, 0 )
	1009	ENDIF
	1010
[1]	1011	ELSE
	1012
[667]	1013	maximum_grid_level = 0
[1]	1014
	1015	ENDIF
	1016
[722]	1017	!
	1018	!-- Default level 0 tells exchange_horiz that all ghost planes have to be
	1019	!-- exchanged. grid_level is adjusted in poismg, where only one ghost plane
	1020	!-- is required.
	1021	grid_level = 0
[1]	1022
[1804]	1023	#if defined( __parallel )
[1]	1024	!
	1025	!-- Gridpoint number for the exchange of ghost points (y-line for 2D-arrays)
[667]	1026	ngp_y = nyn - nys + 1 + 2 * nbgp
[1]	1027
	1028	!
[709]	1029	!-- Define new MPI derived datatypes for the exchange of ghost points in
	1030	!-- x- and y-direction for 2D-arrays (line)
[1968]	1031	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_REAL, type_x, &
[709]	1032	ierr )
[1]	1033	CALL MPI_TYPE_COMMIT( type_x, ierr )
	1034
[667]	1035	CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_REAL, type_y, ierr )
	1036	CALL MPI_TYPE_COMMIT( type_y, ierr )
[1968]	1037	!
	1038	!-- Define new MPI derived datatypes for the exchange of ghost points in
[3542]	1039	!-- x- and y-direction for 2D-INTEGER arrays (line) - on normal grid.
	1040	!-- Define types for 32-bit and 8-bit Integer. The 8-bit Integer are only
	1041	!-- required on normal grid, while 32-bit Integer may be also required on
	1042	!-- coarser grid level in case of multigrid solver.
	1043	!
	1044	!-- 8-bit Integer
	1045	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_BYTE, &
	1046	type_x_byte, ierr )
	1047	CALL MPI_TYPE_COMMIT( type_x_byte, ierr )
	1048
	1049	CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_BYTE, &
	1050	type_y_byte, ierr )
	1051	CALL MPI_TYPE_COMMIT( type_y_byte, ierr )
	1052	!
	1053	!-- 32-bit Integer
[1968]	1054	ALLOCATE( type_x_int(0:maximum_grid_level), &
	1055	type_y_int(0:maximum_grid_level) )
[3542]	1056
[1968]	1057	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_INTEGER, &
	1058	type_x_int(0), ierr )
	1059	CALL MPI_TYPE_COMMIT( type_x_int(0), ierr )
[667]	1060
[1968]	1061	CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_INTEGER, type_y_int(0), ierr )
	1062	CALL MPI_TYPE_COMMIT( type_y_int(0), ierr )
[1]	1063	!
	1064	!-- Calculate gridpoint numbers for the exchange of ghost points along x
	1065	!-- (yz-plane for 3D-arrays) and define MPI derived data type(s) for the
	1066	!-- exchange of ghost points in y-direction (xz-plane).
	1067	!-- Do these calculations for the model grid and (if necessary) also
	1068	!-- for the coarser grid levels used in the multigrid method
[2696]	1069	ALLOCATE ( ngp_xz(0:maximum_grid_level), &
	1070	ngp_xz_int(0:maximum_grid_level), &
	1071	ngp_yz(0:maximum_grid_level), &
	1072	ngp_yz_int(0:maximum_grid_level), &
	1073	type_xz(0:maximum_grid_level), &
	1074	type_xz_int(0:maximum_grid_level), &
	1075	type_yz(0:maximum_grid_level), &
	1076	type_yz_int(0:maximum_grid_level) )
[1]	1077
	1078	nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzb_l = nzb; nzt_l = nzt
[709]	1079
[667]	1080	!
	1081	!-- Discern between the model grid, which needs nbgp ghost points and
	1082	!-- grid levels for the multigrid scheme. In the latter case only one
	1083	!-- ghost point is necessary.
[709]	1084	!-- First definition of MPI-datatypes for exchange of ghost layers on normal
[667]	1085	!-- grid. The following loop is needed for data exchange in poismg.f90.
	1086	!
	1087	!-- Determine number of grid points of yz-layer for exchange
	1088	ngp_yz(0) = (nzt - nzb + 2) * (nyn - nys + 1 + 2 * nbgp)
[709]	1089
[667]	1090	!
[709]	1091	!-- Define an MPI-datatype for the exchange of left/right boundaries.
	1092	!-- Although data are contiguous in physical memory (which does not
	1093	!-- necessarily require an MPI-derived datatype), the data exchange between
	1094	!-- left and right PE's using the MPI-derived type is 10% faster than without.
[667]	1095	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2nbgp, nbgp(nzt-nzb+2), ngp_yz(0), &
[709]	1096	MPI_REAL, type_xz(0), ierr )
[667]	1097	CALL MPI_TYPE_COMMIT( type_xz(0), ierr )
[1]	1098
[709]	1099	CALL MPI_TYPE_VECTOR( nbgp, ngp_yz(0), ngp_yz(0), MPI_REAL, type_yz(0), &
	1100	ierr )
[667]	1101	CALL MPI_TYPE_COMMIT( type_yz(0), ierr )
[709]	1102
[667]	1103	!
[2696]	1104	!-- Define data types for exchange of 3D Integer arrays.
	1105	ngp_yz_int(0) = (nzt - nzb + 2) * (nyn - nys + 1 + 2 * nbgp)
	1106
	1107	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2nbgp, nbgp(nzt-nzb+2), ngp_yz_int(0), &
	1108	MPI_INTEGER, type_xz_int(0), ierr )
	1109	CALL MPI_TYPE_COMMIT( type_xz_int(0), ierr )
	1110
	1111	CALL MPI_TYPE_VECTOR( nbgp, ngp_yz_int(0), ngp_yz_int(0), MPI_INTEGER, &
	1112	type_yz_int(0), ierr )
	1113	CALL MPI_TYPE_COMMIT( type_yz_int(0), ierr )
	1114
	1115	!
[709]	1116	!-- Definition of MPI-datatypes for multigrid method (coarser level grids)
[1575]	1117	IF ( psolver(1:9) == 'multigrid' ) THEN
[667]	1118	!
[709]	1119	!-- Definition of MPI-datatyoe as above, but only 1 ghost level is used
	1120	DO i = maximum_grid_level, 1 , -1
[1968]	1121	!
[2696]	1122	!-- For 3D-exchange on different multigrid level, one ghost point for
	1123	!-- REAL arrays, two ghost points for INTEGER arrays
[1575]	1124	ngp_xz(i) = (nzt_l - nzb_l + 2) * (nxr_l - nxl_l + 3)
[667]	1125	ngp_yz(i) = (nzt_l - nzb_l + 2) * (nyn_l - nys_l + 3)
	1126
[2696]	1127	ngp_xz_int(i) = (nzt_l - nzb_l + 2) * (nxr_l - nxl_l + 3)
	1128	ngp_yz_int(i) = (nzt_l - nzb_l + 2) * (nyn_l - nys_l + 3)
	1129	!
	1130	!-- MPI data type for REAL arrays, for xz-layers
	1131	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+3, nzt_l-nzb_l+2, ngp_yz(i), &
[709]	1132	MPI_REAL, type_xz(i), ierr )
[667]	1133	CALL MPI_TYPE_COMMIT( type_xz(i), ierr )
[1]	1134
[2696]	1135	!
	1136	!-- MPI data type for INTEGER arrays, for xz-layers
	1137	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+3, nzt_l-nzb_l+2, ngp_yz_int(i), &
	1138	MPI_INTEGER, type_xz_int(i), ierr )
	1139	CALL MPI_TYPE_COMMIT( type_xz_int(i), ierr )
	1140
	1141	!
	1142	!-- MPI data type for REAL arrays, for yz-layers
[709]	1143	CALL MPI_TYPE_VECTOR( 1, ngp_yz(i), ngp_yz(i), MPI_REAL, type_yz(i), &
	1144	ierr )
[667]	1145	CALL MPI_TYPE_COMMIT( type_yz(i), ierr )
[2696]	1146	!
	1147	!-- MPI data type for INTEGER arrays, for yz-layers
	1148	CALL MPI_TYPE_VECTOR( 1, ngp_yz_int(i), ngp_yz_int(i), MPI_INTEGER, &
	1149	type_yz_int(i), ierr )
	1150	CALL MPI_TYPE_COMMIT( type_yz_int(i), ierr )
[667]	1151
[1968]	1152
	1153	!-- For 2D-exchange of INTEGER arrays on coarser grid level, where 2 ghost
[3542]	1154	!-- points need to be exchanged. Only required for 32-bit Integer arrays.
	1155	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+5, 2, nyn_l-nys_l+5, MPI_INTEGER, &
[1968]	1156	type_x_int(i), ierr )
	1157	CALL MPI_TYPE_COMMIT( type_x_int(i), ierr )
	1158
	1159
[3542]	1160	CALL MPI_TYPE_VECTOR( 2, nyn_l-nys_l+5, nyn_l-nys_l+5, MPI_INTEGER, &
[1968]	1161	type_y_int(i), ierr )
	1162	CALL MPI_TYPE_COMMIT( type_y_int(i), ierr )
	1163
[667]	1164	nxl_l = nxl_l / 2
	1165	nxr_l = nxr_l / 2
	1166	nys_l = nys_l / 2
	1167	nyn_l = nyn_l / 2
	1168	nzt_l = nzt_l / 2
[709]	1169
[667]	1170	ENDDO
[709]	1171
	1172	ENDIF
[1677]	1173
[1]	1174	#endif
	1175
[1804]	1176	#if defined( __parallel )
[1]	1177	!
[1933]	1178	!-- Setting of flags for inflow/outflow/nesting conditions.
[1964]	1179	IF ( pleft == MPI_PROC_NULL ) THEN
[3182]	1180	IF ( bc_lr == 'dirichlet/radiation' .OR. bc_lr == 'nested' .OR. &
	1181	bc_lr == 'nesting_offline' ) THEN
	1182	bc_dirichlet_l = .TRUE.
[1964]	1183	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
[3182]	1184	bc_radiation_l = .TRUE.
[1]	1185	ENDIF
	1186	ENDIF
[1933]	1187
[1964]	1188	IF ( pright == MPI_PROC_NULL ) THEN
	1189	IF ( bc_lr == 'dirichlet/radiation' ) THEN
[3182]	1190	bc_radiation_r = .TRUE.
	1191	ELSEIF ( bc_lr == 'radiation/dirichlet' .OR. bc_lr == 'nested' .OR. &
	1192	bc_lr == 'nesting_offline' ) THEN
	1193	bc_dirichlet_r = .TRUE.
[1]	1194	ENDIF
	1195	ENDIF
	1196
[1964]	1197	IF ( psouth == MPI_PROC_NULL ) THEN
	1198	IF ( bc_ns == 'dirichlet/radiation' ) THEN
[3182]	1199	bc_radiation_s = .TRUE.
	1200	ELSEIF ( bc_ns == 'radiation/dirichlet' .OR. bc_ns == 'nested' .OR. &
	1201	bc_ns == 'nesting_offline' ) THEN
	1202	bc_dirichlet_s = .TRUE.
[1]	1203	ENDIF
	1204	ENDIF
	1205
[1964]	1206	IF ( pnorth == MPI_PROC_NULL ) THEN
[3182]	1207	IF ( bc_ns == 'dirichlet/radiation' .OR. bc_ns == 'nested' .OR. &
	1208	bc_ns == 'nesting_offline' ) THEN
	1209	bc_dirichlet_n = .TRUE.
[1964]	1210	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
[3182]	1211	bc_radiation_n = .TRUE.
[1]	1212	ENDIF
	1213	ENDIF
[2938]	1214	!
	1215	!-- In case of synthetic turbulence geneartor determine ids.
	1216	!-- Please note, if no forcing or nesting is applied, the generator is applied
	1217	!-- only at the left lateral boundary.
	1218	IF ( use_syn_turb_gen ) THEN
[3182]	1219	IF ( bc_dirichlet_l ) THEN
[2938]	1220	id_stg_left_l = myidx
	1221	ELSE
	1222	id_stg_left_l = 0
	1223	ENDIF
[3182]	1224	IF ( bc_dirichlet_r ) THEN
[2938]	1225	id_stg_right_l = myidx
	1226	ELSE
	1227	id_stg_right_l = 0
	1228	ENDIF
[3182]	1229	IF ( bc_dirichlet_s ) THEN
[2938]	1230	id_stg_south_l = myidy
	1231	ELSE
	1232	id_stg_south_l = 0
	1233	ENDIF
[3182]	1234	IF ( bc_dirichlet_n ) THEN
[2938]	1235	id_stg_north_l = myidy
	1236	ELSE
	1237	id_stg_north_l = 0
	1238	ENDIF
[1968]	1239
[2938]	1240	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1241	CALL MPI_ALLREDUCE( id_stg_left_l, id_stg_left, 1, MPI_INTEGER, &
	1242	MPI_SUM, comm1dx, ierr )
	1243
	1244	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1245	CALL MPI_ALLREDUCE( id_stg_right_l, id_stg_right, 1, MPI_INTEGER, &
	1246	MPI_SUM, comm1dx, ierr )
	1247
	1248	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1249	CALL MPI_ALLREDUCE( id_stg_south_l, id_stg_south, 1, MPI_INTEGER, &
	1250	MPI_SUM, comm1dy, ierr )
	1251
	1252	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1253	CALL MPI_ALLREDUCE( id_stg_north_l, id_stg_north, 1, MPI_INTEGER, &
	1254	MPI_SUM, comm1dy, ierr )
	1255
	1256	ENDIF
	1257
[151]	1258	!
	1259	!-- Broadcast the id of the inflow PE
[3182]	1260	IF ( bc_dirichlet_l ) THEN
[163]	1261	id_inflow_l = myidx
[151]	1262	ELSE
	1263	id_inflow_l = 0
	1264	ENDIF
[622]	1265	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[151]	1266	CALL MPI_ALLREDUCE( id_inflow_l, id_inflow, 1, MPI_INTEGER, MPI_SUM, &
	1267	comm1dx, ierr )
	1268
[163]	1269	!
	1270	!-- Broadcast the id of the recycling plane
	1271	!-- WARNING: needs to be adjusted in case of inflows other than from left side!
[3884]	1272	IF ( turbulent_inflow ) THEN
	1273
[4045]	1274	IF ( NINT( recycling_width / dx, KIND=idp ) >= nxl .AND. &
	1275	NINT( recycling_width / dx, KIND=idp ) <= nxr ) THEN
[3884]	1276	id_recycling_l = myidx
	1277	ELSE
	1278	id_recycling_l = 0
	1279	ENDIF
	1280	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1281	CALL MPI_ALLREDUCE( id_recycling_l, id_recycling, 1, MPI_INTEGER, MPI_SUM, &
	1282	comm1dx, ierr )
	1283
[163]	1284	ENDIF
	1285
[2050]	1286	!
	1287	!-- Broadcast the id of the outflow PE and outflow-source plane
	1288	IF ( turbulent_outflow ) THEN
	1289
[3182]	1290	IF ( bc_radiation_r ) THEN
[2050]	1291	id_outflow_l = myidx
	1292	ELSE
	1293	id_outflow_l = 0
	1294	ENDIF
	1295	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1296	CALL MPI_ALLREDUCE( id_outflow_l, id_outflow, 1, MPI_INTEGER, MPI_SUM, &
	1297	comm1dx, ierr )
	1298
	1299	IF ( NINT( outflow_source_plane / dx ) >= nxl .AND. &
	1300	NINT( outflow_source_plane / dx ) <= nxr ) THEN
	1301	id_outflow_source_l = myidx
	1302	ELSE
	1303	id_outflow_source_l = 0
	1304	ENDIF
	1305	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1306	CALL MPI_ALLREDUCE( id_outflow_source_l, id_outflow_source, 1, &
	1307	MPI_INTEGER, MPI_SUM, comm1dx, ierr )
	1308
	1309	ENDIF
	1310
[3885]	1311	CALL location_message( 'creating virtual PE grids + MPI derived data types', 'finished' )
[1384]	1312
[1804]	1313	#else
[1159]	1314	IF ( bc_lr == 'dirichlet/radiation' ) THEN
[3182]	1315	bc_dirichlet_l = .TRUE.
	1316	bc_radiation_r = .TRUE.
[1159]	1317	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
[3182]	1318	bc_radiation_l = .TRUE.
	1319	bc_dirichlet_r = .TRUE.
[1]	1320	ENDIF
	1321
[1159]	1322	IF ( bc_ns == 'dirichlet/radiation' ) THEN
[3182]	1323	bc_dirichlet_n = .TRUE.
	1324	bc_radiation_s = .TRUE.
[1159]	1325	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
[3182]	1326	bc_radiation_n = .TRUE.
	1327	bc_dirichlet_s = .TRUE.
[1]	1328	ENDIF
	1329	#endif
[807]	1330
[106]	1331	!
[978]	1332	!-- At the inflow or outflow, u or v, respectively, have to be calculated for
	1333	!-- one more grid point.
[3182]	1334	IF ( bc_dirichlet_l .OR. bc_radiation_l ) THEN
[106]	1335	nxlu = nxl + 1
	1336	ELSE
	1337	nxlu = nxl
	1338	ENDIF
[3182]	1339	IF ( bc_dirichlet_s .OR. bc_radiation_s ) THEN
[106]	1340	nysv = nys + 1
	1341	ELSE
	1342	nysv = nys
	1343	ENDIF
[1]	1344
[114]	1345	!
	1346	!-- Allocate wall flag arrays used in the multigrid solver
[1575]	1347	IF ( psolver(1:9) == 'multigrid' ) THEN
[114]	1348
	1349	DO i = maximum_grid_level, 1, -1
	1350
	1351	SELECT CASE ( i )
	1352
	1353	CASE ( 1 )
	1354	ALLOCATE( wall_flags_1(nzb:nzt_mg(i)+1, &
	1355	nys_mg(i)-1:nyn_mg(i)+1, &
	1356	nxl_mg(i)-1:nxr_mg(i)+1) )
	1357
	1358	CASE ( 2 )
	1359	ALLOCATE( wall_flags_2(nzb:nzt_mg(i)+1, &
	1360	nys_mg(i)-1:nyn_mg(i)+1, &
	1361	nxl_mg(i)-1:nxr_mg(i)+1) )
	1362
	1363	CASE ( 3 )
	1364	ALLOCATE( wall_flags_3(nzb:nzt_mg(i)+1, &
	1365	nys_mg(i)-1:nyn_mg(i)+1, &
	1366	nxl_mg(i)-1:nxr_mg(i)+1) )
	1367
	1368	CASE ( 4 )
	1369	ALLOCATE( wall_flags_4(nzb:nzt_mg(i)+1, &
	1370	nys_mg(i)-1:nyn_mg(i)+1, &
	1371	nxl_mg(i)-1:nxr_mg(i)+1) )
	1372
	1373	CASE ( 5 )
	1374	ALLOCATE( wall_flags_5(nzb:nzt_mg(i)+1, &
	1375	nys_mg(i)-1:nyn_mg(i)+1, &
	1376	nxl_mg(i)-1:nxr_mg(i)+1) )
	1377
	1378	CASE ( 6 )
	1379	ALLOCATE( wall_flags_6(nzb:nzt_mg(i)+1, &
	1380	nys_mg(i)-1:nyn_mg(i)+1, &
	1381	nxl_mg(i)-1:nxr_mg(i)+1) )
	1382
	1383	CASE ( 7 )
	1384	ALLOCATE( wall_flags_7(nzb:nzt_mg(i)+1, &
	1385	nys_mg(i)-1:nyn_mg(i)+1, &
	1386	nxl_mg(i)-1:nxr_mg(i)+1) )
	1387
	1388	CASE ( 8 )
	1389	ALLOCATE( wall_flags_8(nzb:nzt_mg(i)+1, &
	1390	nys_mg(i)-1:nyn_mg(i)+1, &
	1391	nxl_mg(i)-1:nxr_mg(i)+1) )
	1392
	1393	CASE ( 9 )
	1394	ALLOCATE( wall_flags_9(nzb:nzt_mg(i)+1, &
	1395	nys_mg(i)-1:nyn_mg(i)+1, &
	1396	nxl_mg(i)-1:nxr_mg(i)+1) )
	1397
	1398	CASE ( 10 )
	1399	ALLOCATE( wall_flags_10(nzb:nzt_mg(i)+1, &
	1400	nys_mg(i)-1:nyn_mg(i)+1, &
	1401	nxl_mg(i)-1:nxr_mg(i)+1) )
	1402
	1403	CASE DEFAULT
[254]	1404	message_string = 'more than 10 multigrid levels'
	1405	CALL message( 'init_pegrid', 'PA0238', 1, 2, 0, 6, 0 )
[114]	1406
	1407	END SELECT
	1408
	1409	ENDDO
	1410
	1411	ENDIF
	1412
[1]	1413	END SUBROUTINE init_pegrid

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