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source: palm/trunk/SOURCE/init_pegrid.f90 @ 4366

Last change on this file since 4366 was 4360, checked in by suehring, 5 years ago
Bugfix in output of time-averaged plant-canopy quanities; Output of plant-canopy data only where tall canopy is defined; land-surface model: fix wrong location strings; tests: update urban test case; all source code files: copyright update
Property svn:keywords set to `Id`
File size: 51.0 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 4360 2020-01-07 11:25:50Z raasch $
[4301]	27	! changed message PA0467
	28	!
	29	! 4264 2019-10-15 16:00:23Z scharf
[4264]	30	! corrected error message string
	31	!
	32	! 4241 2019-09-27 06:32:47Z raasch
[4241]	33	! Check added to ensure that subdomain grid has at least the size as given by the number
	34	! of ghost points
	35	!
	36	! 4182 2019-08-22 15:20:23Z scharf
[4182]	37	! Corrected "Former revisions" section
	38	!
	39	! 4045 2019-06-21 10:58:47Z raasch
[4045]	40	! bugfix: kind attribute added to nint function to allow for large integers which may appear in
	41	! case of default recycling width and small grid spacings
	42	!
	43	! 3999 2019-05-23 16:09:37Z suehring
[3999]	44	! Spend 3 ghost points also in case of pw-scheme when nesting is applied
	45	!
	46	! 3897 2019-04-15 11:51:14Z suehring
[3897]	47	! Minor revision of multigrid check; give warning instead of an abort.
	48	!
	49	! 3890 2019-04-12 15:59:20Z suehring
[3890]	50	! Check if grid coarsening is possible on subdomain, in order to avoid that
	51	! multigrid approach effectively reduces to a Gauss-Seidel scheme.
	52	!
	53	! 3885 2019-04-11 11:29:34Z kanani
[3885]	54	! Changes related to global restructuring of location messages and introduction
	55	! of additional debug messages
	56	!
	57	! 3884 2019-04-10 13:31:55Z Giersch
[3884]	58	! id_recycling is only calculated in case of tubulent inflow
	59	!
	60	! 3761 2019-02-25 15:31:42Z raasch
[3761]	61	! unused variable removed
	62	!
	63	! 3655 2019-01-07 16:51:22Z knoop
[3553]	64	! variables documented
[2259]	65	!
[4182]	66	! Revision 1.1 1997/07/24 11:15:09 raasch
	67	! Initial revision
	68	!
	69	!
[1]	70	! Description:
	71	! ------------
[1682]	72	!> Determination of the virtual processor topology (if not prescribed by the
	73	!> user)and computation of the grid point number and array bounds of the local
	74	!> domains.
[2696]	75	!> @todo: remove MPI-data types for 2D exchange on coarse multigrid level (not
	76	!> used any more)
[1]	77	!------------------------------------------------------------------------------!
[1682]	78	SUBROUTINE init_pegrid
	79
[1]	80
[1320]	81	USE control_parameters, &
[3182]	82	ONLY: bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, bc_dirichlet_s, &
	83	bc_lr, bc_ns, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
[3241]	84	bc_radiation_s, coupling_mode, coupling_topology, gathered_size,&
	85	grid_level, grid_level_count, maximum_grid_level, &
[3761]	86	message_string, mg_switch_to_pe0_level, momentum_advec, &
[3182]	87	psolver, outflow_source_plane, recycling_width, scalar_advec, &
[3884]	88	subdomain_size, turbulent_inflow, turbulent_outflow, y_shift
[1]	89
[1320]	90	USE grid_variables, &
	91	ONLY: dx
	92
	93	USE indices, &
	94	ONLY: mg_loc_ind, nbgp, nnx, nny, nnz, nx, nx_a, nx_o, nxl, nxl_mg, &
	95	nxlu, nxr, nxr_mg, ny, ny_a, ny_o, nyn, nyn_mg, nys, nys_mg, &
	96	nysv, nz, nzb, nzt, nzt_mg, wall_flags_1, wall_flags_2, &
	97	wall_flags_3, wall_flags_4, wall_flags_5, wall_flags_6, &
	98	wall_flags_7, wall_flags_8, wall_flags_9, wall_flags_10
[1]	99
[1320]	100	USE kinds
	101
	102	USE pegrid
[3999]	103
	104	USE pmc_interface, &
	105	ONLY: nested_run
[2238]	106
[1833]	107	USE spectra_mod, &
[1922]	108	ONLY: calculate_spectra, dt_dosp
[1833]	109
[2259]	110	USE synthetic_turbulence_generator_mod, &
[2938]	111	ONLY: id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
	112	use_syn_turb_gen
[2259]	113
[1320]	114	USE transpose_indices, &
	115	ONLY: nxl_y, nxl_yd, nxl_z, nxr_y, nxr_yd, nxr_z, nyn_x, nyn_z, nys_x,&
	116	nys_z, nzb_x, nzb_y, nzb_yd, nzt_x, nzt_yd, nzt_y
[667]	117
[2365]	118	USE vertical_nesting_mod, &
	119	ONLY: vnested, vnest_init_pegrid_domain, vnest_init_pegrid_rank
	120
[1]	121	IMPLICIT NONE
	122
[3552]	123	INTEGER(iwp) :: i !< running index over number of processors or number of multigrid level
	124	INTEGER(iwp) :: id_inflow_l !< ID indicating processors located at the left inflow boundary
[2050]	125	INTEGER(iwp) :: id_outflow_l !< local value of id_outflow
	126	INTEGER(iwp) :: id_outflow_source_l !< local value of id_outflow_source
[3552]	127	INTEGER(iwp) :: id_recycling_l !< ID indicating processors located at the recycling plane
[2938]	128	INTEGER(iwp) :: id_stg_left_l !< left lateral boundary local core id in case of turbulence generator
	129	INTEGER(iwp) :: id_stg_north_l !< north lateral boundary local core id in case of turbulence generator
	130	INTEGER(iwp) :: id_stg_right_l !< right lateral boundary local core id in case of turbulence generator
	131	INTEGER(iwp) :: id_stg_south_l !< south lateral boundary local core id in case of turbulence generator
[3552]	132	INTEGER(iwp) :: ind(5) !< array containing the subdomain bounds
	133	INTEGER(iwp) :: j !< running index, used for various loops
	134	INTEGER(iwp) :: k !< number of vertical grid points in different multigrid level
	135	INTEGER(iwp) :: maximum_grid_level_l !< maximum number of grid level without switching to PE 0
	136	INTEGER(iwp) :: mg_levels_x !< maximum number of grid level allowed along x-direction
	137	INTEGER(iwp) :: mg_levels_y !< maximum number of grid level allowed along y-direction
	138	INTEGER(iwp) :: mg_levels_z !< maximum number of grid level allowed along z-direction
	139	INTEGER(iwp) :: mg_switch_to_pe0_level_l !< maximum number of grid level with switching to PE 0
	140	INTEGER(iwp) :: nnx_y !< quotient of number of grid points along x-direction and number of PEs used along y-direction
	141	INTEGER(iwp) :: nny_x !< quotient of number of grid points along y-direction and number of PEs used along x-direction
	142	INTEGER(iwp) :: nny_z !< quotient of number of grid points along y-direction and number of PEs used along x-direction
	143	INTEGER(iwp) :: nnz_x !< quotient of number of grid points along z-direction and number of PEs used along x-direction
	144	INTEGER(iwp) :: nnz_y !< quotient of number of grid points along z-direction and number of PEs used along x-direction
	145	INTEGER(iwp) :: numproc_sqr !< square root of the number of processors
	146	INTEGER(iwp) :: nxl_l !< lower index bound along x-direction on subdomain and different multigrid level
	147	INTEGER(iwp) :: nxr_l !< upper index bound along x-direction on subdomain and different multigrid level
	148	INTEGER(iwp) :: nyn_l !< lower index bound along y-direction on subdomain and different multigrid level
	149	INTEGER(iwp) :: nys_l !< upper index bound along y-direction on subdomain and different multigrid level
	150	INTEGER(iwp) :: nzb_l !< lower index bound along z-direction on subdomain and different multigrid level
	151	INTEGER(iwp) :: nzt_l !< upper index bound along z-direction on subdomain and different multigrid level
	152	!$ INTEGER(iwp) :: omp_get_num_threads !< number of OpenMP threads
[1]	153
[3552]	154	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ind_all !< dummy array containing index bounds on subdomain, used for gathering
	155	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nxlf !< lower index bound allong x-direction for every PE
	156	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nxrf !< upper index bound allong x-direction for every PE
	157	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nynf !< lower index bound allong y-direction for every PE
	158	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nysf !< lower index bound allong y-direction for every PE
[1]	159
[3552]	160	INTEGER(iwp), DIMENSION(2) :: pdims_remote !< number of PEs used for coupled model (only in atmospher-ocean coupling)
[2372]	161	INTEGER(iwp) :: lcoord(2) !< PE coordinates of left neighbor along x and y
	162	INTEGER(iwp) :: rcoord(2) !< PE coordinates of right neighbor along x and y
[667]	163
[1]	164	!
	165	!-- Get the number of OpenMP threads
	166	!$OMP PARALLEL
	167	!$ threads_per_task = omp_get_num_threads()
	168	!$OMP END PARALLEL
	169
	170
	171	#if defined( __parallel )
[667]	172
[3885]	173	CALL location_message( 'creating virtual PE grids + MPI derived data types', 'start' )
[1764]	174
[1]	175	!
[2177]	176	!-- Determine the processor topology or check it, if prescribed by the user
[1779]	177	IF ( npex == -1 .AND. npey == -1 ) THEN
[1]	178
	179	!
[2177]	180	!-- Automatic determination of the topology
[1779]	181	numproc_sqr = SQRT( REAL( numprocs, KIND=wp ) )
	182	pdims(1) = MAX( numproc_sqr , 1 )
[2180]	183	DO WHILE ( MOD( numprocs , pdims(1) ) /= 0 )
[1779]	184	pdims(1) = pdims(1) - 1
	185	ENDDO
[2180]	186	pdims(2) = numprocs / pdims(1)
[1]	187
[1779]	188	ELSEIF ( npex /= -1 .AND. npey /= -1 ) THEN
[1]	189
	190	!
[1779]	191	!-- Prescribed by user. Number of processors on the prescribed topology
	192	!-- must be equal to the number of PEs available to the job
	193	IF ( ( npex * npey ) /= numprocs ) THEN
[3045]	194	WRITE( message_string, * ) 'number of PEs of the prescribed ', &
[3046]	195	'topology (', npex*npey,') does not match & the number of ', &
[1779]	196	'PEs available to the job (', numprocs, ')'
	197	CALL message( 'init_pegrid', 'PA0221', 1, 2, 0, 6, 0 )
	198	ENDIF
	199	pdims(1) = npex
	200	pdims(2) = npey
[1]	201
[1779]	202	ELSE
[1]	203	!
[1779]	204	!-- If the processor topology is prescribed by the user, the number of
	205	!-- PEs must be given in both directions
[3045]	206	message_string = 'if the processor topology is prescribed by th' // &
[3046]	207	'e user & both values of "npex" and "npey" must be given' // &
[1779]	208	' in the &NAMELIST-parameter file'
	209	CALL message( 'init_pegrid', 'PA0222', 1, 2, 0, 6, 0 )
[1]	210
	211	ENDIF
	212
	213	!
	214	!-- If necessary, set horizontal boundary conditions to non-cyclic
[722]	215	IF ( bc_lr /= 'cyclic' ) cyclic(1) = .FALSE.
	216	IF ( bc_ns /= 'cyclic' ) cyclic(2) = .FALSE.
[1]	217
[807]	218
[1]	219	!
	220	!-- Create the virtual processor grid
	221	CALL MPI_CART_CREATE( comm_palm, ndim, pdims, cyclic, reorder, &
	222	comm2d, ierr )
	223	CALL MPI_COMM_RANK( comm2d, myid, ierr )
[1468]	224	WRITE (myid_char,'(''_'',I6.6)') myid
[1]	225
	226	CALL MPI_CART_COORDS( comm2d, myid, ndim, pcoord, ierr )
	227	CALL MPI_CART_SHIFT( comm2d, 0, 1, pleft, pright, ierr )
	228	CALL MPI_CART_SHIFT( comm2d, 1, 1, psouth, pnorth, ierr )
	229	!
[2372]	230	!-- In case of cyclic boundary conditions, a y-shift at the boundaries in
	231	!-- x-direction can be introduced via parameter y_shift. The shift is done
	232	!-- by modifying the processor grid in such a way that processors located
	233	!-- at the x-boundary communicate across it to processors with y-coordinate
	234	!-- shifted by y_shift relative to their own. This feature can not be used
	235	!-- in combination with an fft pressure solver. It has been implemented to
	236	!-- counter the effect of streak structures in case of cyclic boundary
	237	!-- conditions. For a description of these see Munters
	238	!-- (2016; dx.doi.org/10.1063/1.4941912)
	239	!--
	240	!-- Get coordinates of left and right neighbor on PE grid
	241	IF ( y_shift /= 0 ) THEN
[4301]	242	IF ( bc_lr == 'cyclic' ) THEN
	243	IF ( TRIM( psolver ) /= 'multigrid' .AND. &
	244	TRIM( psolver ) /= 'multigrid_noopt') &
	245	THEN
	246	message_string = 'y_shift /= 0 requires a multigrid pressure solver '
	247	CALL message( 'check_parameters', 'PA0468', 1, 2, 0, 6, 0 )
	248	ENDIF
[2372]	249
[4301]	250	CALL MPI_CART_COORDS( comm2d, pright, ndim, rcoord, ierr )
	251	CALL MPI_CART_COORDS( comm2d, pleft, ndim, lcoord, ierr )
[2372]	252
[4301]	253	!
	254	!-- If the x(y)-coordinate of the right (left) neighbor is smaller (greater)
	255	!-- than that of the calling process, then the calling process is located on
	256	!-- the right (left) boundary of the processor grid. In that case,
	257	!-- the y-coordinate of that neighbor is increased (decreased) by y_shift.
	258	!-- The rank of the process with that coordinate is then inquired and the
	259	!-- neighbor rank for MPI_SENDRECV, pright (pleft) is set to it.
	260	!-- In this way, the calling process receives a new right (left) neighbor
	261	!-- for all future MPI_SENDRECV calls. That neighbor has a y-coordinate
	262	!-- of y+(-)y_shift, where y is the original right (left) neighbor's
	263	!-- y-coordinate. The modulo-operation ensures that if the neighbor's
	264	!-- y-coordinate exceeds the grid-boundary, it will be relocated to
	265	!-- the opposite part of the grid cyclicly.
	266	IF ( rcoord(1) < pcoord(1) ) THEN
	267	rcoord(2) = MODULO( rcoord(2) + y_shift, pdims(2) )
	268	CALL MPI_CART_RANK( comm2d, rcoord, pright, ierr )
	269	ENDIF
[2372]	270
[4301]	271	IF ( lcoord(1) > pcoord(1) ) THEN
	272	lcoord(2) = MODULO( lcoord(2) - y_shift, pdims(2) )
	273	CALL MPI_CART_RANK( comm2d, lcoord, pleft, ierr )
	274	ENDIF
	275
	276	ELSE
[2372]	277	!
[4301]	278	!-- y-shift for non-cyclic boundary conditions is only implemented
	279	!-- for the turbulence recycling method in inflow_turbulence.f90
	280	IF ( .NOT. turbulent_inflow ) THEN
	281	message_string = 'y_shift /= 0 is only allowed for cyclic ' // &
	282	'boundary conditions in both directions ' // &
	283	'or with turbulent_inflow == .TRUE.'
	284	CALL message( 'check_parameters', 'PA0467', 1, 2, 0, 6, 0 )
	285	ENDIF
[2372]	286	ENDIF
	287	ENDIF
	288	!
[2365]	289	!-- Vertical nesting: store four lists that identify partner ranks to exchange
	290	!-- data
	291	IF ( vnested ) CALL vnest_init_pegrid_rank
	292
	293	!
[1]	294	!-- Determine sub-topologies for transpositions
	295	!-- Transposition from z to x:
	296	remain_dims(1) = .TRUE.
	297	remain_dims(2) = .FALSE.
	298	CALL MPI_CART_SUB( comm2d, remain_dims, comm1dx, ierr )
	299	CALL MPI_COMM_RANK( comm1dx, myidx, ierr )
	300	!
	301	!-- Transposition from x to y
	302	remain_dims(1) = .FALSE.
	303	remain_dims(2) = .TRUE.
	304	CALL MPI_CART_SUB( comm2d, remain_dims, comm1dy, ierr )
	305	CALL MPI_COMM_RANK( comm1dy, myidy, ierr )
	306
	307
	308	!
[1003]	309	!-- Calculate array bounds along x-direction for every PE.
[3045]	310	ALLOCATE( nxlf(0:pdims(1)-1), nxrf(0:pdims(1)-1), nynf(0:pdims(2)-1), &
[1003]	311	nysf(0:pdims(2)-1) )
[1]	312
[1003]	313	IF ( MOD( nx+1 , pdims(1) ) /= 0 ) THEN
[3045]	314	WRITE( message_string, * ) 'x-direction: gridpoint number (',nx+1,') ', &
[4264]	315	'is not an& integral multiple of the number',&
	316	' of processors (',pdims(1),')'
[254]	317	CALL message( 'init_pegrid', 'PA0225', 1, 2, 0, 6, 0 )
[1]	318	ELSE
[1003]	319	nnx = ( nx + 1 ) / pdims(1)
[4264]	320	ENDIF
[1]	321
	322	!
	323	!-- Left and right array bounds, number of gridpoints
	324	DO i = 0, pdims(1)-1
	325	nxlf(i) = i * nnx
	326	nxrf(i) = ( i + 1 ) * nnx - 1
	327	ENDDO
	328
	329	!
	330	!-- Calculate array bounds in y-direction for every PE.
[1003]	331	IF ( MOD( ny+1 , pdims(2) ) /= 0 ) THEN
[274]	332	WRITE( message_string, * ) 'y-direction: gridpoint number (',ny+1,') ', &
[4264]	333	'is not an& integral multiple of the number',&
	334	' of processors (',pdims(2),')'
[254]	335	CALL message( 'init_pegrid', 'PA0227', 1, 2, 0, 6, 0 )
[1]	336	ELSE
[1003]	337	nny = ( ny + 1 ) / pdims(2)
[4264]	338	ENDIF
[1]	339
	340	!
	341	!-- South and north array bounds
	342	DO j = 0, pdims(2)-1
	343	nysf(j) = j * nny
	344	nynf(j) = ( j + 1 ) * nny - 1
	345	ENDDO
	346
	347	!
	348	!-- Local array bounds of the respective PEs
[1003]	349	nxl = nxlf(pcoord(1))
	350	nxr = nxrf(pcoord(1))
	351	nys = nysf(pcoord(2))
	352	nyn = nynf(pcoord(2))
	353	nzb = 0
	354	nzt = nz
	355	nnz = nz
[1]	356
	357	!
[707]	358	!-- Set switches to define if the PE is situated at the border of the virtual
	359	!-- processor grid
	360	IF ( nxl == 0 ) left_border_pe = .TRUE.
	361	IF ( nxr == nx ) right_border_pe = .TRUE.
	362	IF ( nys == 0 ) south_border_pe = .TRUE.
	363	IF ( nyn == ny ) north_border_pe = .TRUE.
	364
	365	!
[1]	366	!-- Calculate array bounds and gridpoint numbers for the transposed arrays
	367	!-- (needed in the pressure solver)
	368	!-- For the transposed arrays, cyclic boundaries as well as top and bottom
	369	!-- boundaries are omitted, because they are obstructive to the transposition
	370
	371	!
	372	!-- 1. transposition z --> x
[1001]	373	!-- This transposition is not neccessary in case of a 1d-decomposition along x
[2938]	374	IF ( psolver == 'poisfft' .OR. calculate_spectra ) THEN
[1304]	375
[1922]	376	IF ( pdims(2) /= 1 ) THEN
	377	IF ( MOD( nz , pdims(1) ) /= 0 ) THEN
[4264]	378	WRITE( message_string, * ) 'transposition z --> x:& ', &
	379	'nz=',nz,' is not an integral multiple ',&
	380	'of pdims(1)=',pdims(1)
[1922]	381	CALL message( 'init_pegrid', 'PA0230', 1, 2, 0, 6, 0 )
	382	ENDIF
[1]	383	ENDIF
[1922]	384
	385	nys_x = nys
	386	nyn_x = nyn
	387	nny_x = nny
	388	nnz_x = nz / pdims(1)
	389	nzb_x = 1 + myidx * nnz_x
	390	nzt_x = ( myidx + 1 ) * nnz_x
	391	sendrecvcount_zx = nnx * nny * nnz_x
	392
[1]	393	ENDIF
	394
[1922]	395
[4264]	396	IF ( psolver == 'poisfft' ) THEN
[1]	397	!
[1922]	398	!-- 2. transposition x --> y
	399	IF ( MOD( nx+1 , pdims(2) ) /= 0 ) THEN
[4264]	400	WRITE( message_string, * ) 'transposition x --> y:& ', &
	401	'nx+1=',nx+1,' is not an integral ', &
	402	'multiple of pdims(2)=',pdims(2)
[1922]	403	CALL message( 'init_pegrid', 'PA0231', 1, 2, 0, 6, 0 )
	404	ENDIF
[1]	405
[1922]	406	nnz_y = nnz_x
	407	nzb_y = nzb_x
	408	nzt_y = nzt_x
	409	nnx_y = (nx+1) / pdims(2)
	410	nxl_y = myidy * nnx_y
	411	nxr_y = ( myidy + 1 ) * nnx_y - 1
	412	sendrecvcount_xy = nnx_y * nny_x * nnz_y
[1]	413	!
[4264]	414	!-- 3. transposition y --> z
[1922]	415	!-- (ELSE: x --> y in case of 1D-decomposition along x)
	416	nxl_z = nxl_y
	417	nxr_z = nxr_y
	418	nny_z = (ny+1) / pdims(1)
	419	nys_z = myidx * nny_z
	420	nyn_z = ( myidx + 1 ) * nny_z - 1
	421	sendrecvcount_yz = nnx_y * nny_z * nnz_y
[1304]	422
[1922]	423	IF ( pdims(2) /= 1 ) THEN
[1]	424	!
[1922]	425	!-- y --> z
	426	!-- This transposition is not neccessary in case of a 1d-decomposition
	427	!-- along x, except that the uptream-spline method is switched on
	428	IF ( MOD( ny+1 , pdims(1) ) /= 0 ) THEN
[4264]	429	WRITE( message_string, * ) 'transposition y --> z:& ', &
	430	'ny+1=',ny+1,' is not an integral ', &
	431	'multiple of pdims(1)=',pdims(1)
[1922]	432	CALL message( 'init_pegrid', 'PA0232', 1, 2, 0, 6, 0 )
	433	ENDIF
[1]	434
[1922]	435	ELSE
[1]	436	!
[1922]	437	!-- x --> y
	438	!-- This condition must be fulfilled for a 1D-decomposition along x
	439	IF ( MOD( ny+1 , pdims(1) ) /= 0 ) THEN
[4264]	440	WRITE( message_string, * ) 'transposition x --> y:& ', &
	441	'ny+1=',ny+1,' is not an integral ', &
	442	'multiple of pdims(1)=',pdims(1)
[1922]	443	CALL message( 'init_pegrid', 'PA0233', 1, 2, 0, 6, 0 )
	444	ENDIF
	445
[1]	446	ENDIF
	447
	448	ENDIF
	449
	450	!
	451	!-- Indices for direct transpositions z --> y (used for calculating spectra)
[1922]	452	IF ( calculate_spectra ) THEN
[1003]	453	IF ( MOD( nz, pdims(2) ) /= 0 ) THEN
[1922]	454	WRITE( message_string, * ) 'direct transposition z --> y (needed ', &
[4264]	455	'for spectra):& nz=',nz,' is not an ', &
	456	'integral multiple of pdims(2)=',pdims(2)
[254]	457	CALL message( 'init_pegrid', 'PA0234', 1, 2, 0, 6, 0 )
[1]	458	ELSE
[1003]	459	nxl_yd = nxl
	460	nxr_yd = nxr
	461	nzb_yd = 1 + myidy * ( nz / pdims(2) )
	462	nzt_yd = ( myidy + 1 ) * ( nz / pdims(2) )
	463	sendrecvcount_zyd = nnx * nny * ( nz / pdims(2) )
[1]	464	ENDIF
	465	ENDIF
	466
[1922]	467	IF ( psolver == 'poisfft' .OR. calculate_spectra ) THEN
[1]	468	!
[1922]	469	!-- Indices for direct transpositions y --> x
	470	!-- (they are only possible in case of a 1d-decomposition along x)
	471	IF ( pdims(2) == 1 ) THEN
	472	nny_x = nny / pdims(1)
	473	nys_x = myid * nny_x
	474	nyn_x = ( myid + 1 ) * nny_x - 1
	475	nzb_x = 1
	476	nzt_x = nz
	477	sendrecvcount_xy = nnx * nny_x * nz
	478	ENDIF
	479
[1]	480	ENDIF
	481
[1922]	482	IF ( psolver == 'poisfft' ) THEN
[1]	483	!
[1922]	484	!-- Indices for direct transpositions x --> y
	485	!-- (they are only possible in case of a 1d-decomposition along y)
	486	IF ( pdims(1) == 1 ) THEN
	487	nnx_y = nnx / pdims(2)
	488	nxl_y = myid * nnx_y
	489	nxr_y = ( myid + 1 ) * nnx_y - 1
	490	nzb_y = 1
	491	nzt_y = nz
	492	sendrecvcount_xy = nnx_y * nny * nz
	493	ENDIF
	494
[1]	495	ENDIF
	496
	497	!
	498	!-- Arrays for storing the array bounds are needed any more
	499	DEALLOCATE( nxlf , nxrf , nynf , nysf )
	500
[807]	501
[145]	502	!
	503	!-- Collect index bounds from other PEs (to be written to restart file later)
	504	ALLOCATE( hor_index_bounds(4,0:numprocs-1) )
	505
	506	IF ( myid == 0 ) THEN
	507
	508	hor_index_bounds(1,0) = nxl
	509	hor_index_bounds(2,0) = nxr
	510	hor_index_bounds(3,0) = nys
	511	hor_index_bounds(4,0) = nyn
	512
	513	!
	514	!-- Receive data from all other PEs
	515	DO i = 1, numprocs-1
	516	CALL MPI_RECV( ibuf, 4, MPI_INTEGER, i, MPI_ANY_TAG, comm2d, status, &
	517	ierr )
	518	hor_index_bounds(:,i) = ibuf(1:4)
	519	ENDDO
	520
	521	ELSE
	522	!
	523	!-- Send index bounds to PE0
	524	ibuf(1) = nxl
	525	ibuf(2) = nxr
	526	ibuf(3) = nys
	527	ibuf(4) = nyn
	528	CALL MPI_SEND( ibuf, 4, MPI_INTEGER, 0, myid, comm2d, ierr )
	529
	530	ENDIF
	531
[807]	532
[1]	533	#if defined( __print )
	534	!
	535	!-- Control output
	536	IF ( myid == 0 ) THEN
	537	PRINT, ' processor topology *'
	538	PRINT*, ' '
	539	PRINT*, 'myid pcoord left right south north idx idy nxl: nxr',&
	540	&' nys: nyn'
	541	PRINT*, '------------------------------------------------------------',&
	542	&'-----------'
	543	WRITE (*,1000) 0, pcoord(1), pcoord(2), pleft, pright, psouth, pnorth, &
	544	myidx, myidy, nxl, nxr, nys, nyn
	545	1000 FORMAT (I4,2X,'(',I3,',',I3,')',3X,I4,2X,I4,3X,I4,2X,I4,2X,I3,1X,I3, &
	546	2(2X,I4,':',I4))
	547
	548	!
[108]	549	!-- Receive data from the other PEs
[1]	550	DO i = 1,numprocs-1
	551	CALL MPI_RECV( ibuf, 12, MPI_INTEGER, i, MPI_ANY_TAG, comm2d, status, &
	552	ierr )
	553	WRITE (*,1000) i, ( ibuf(j) , j = 1,12 )
	554	ENDDO
	555	ELSE
	556
	557	!
	558	!-- Send data to PE0
	559	ibuf(1) = pcoord(1); ibuf(2) = pcoord(2); ibuf(3) = pleft
	560	ibuf(4) = pright; ibuf(5) = psouth; ibuf(6) = pnorth; ibuf(7) = myidx
	561	ibuf(8) = myidy; ibuf(9) = nxl; ibuf(10) = nxr; ibuf(11) = nys
	562	ibuf(12) = nyn
	563	CALL MPI_SEND( ibuf, 12, MPI_INTEGER, 0, myid, comm2d, ierr )
	564	ENDIF
	565	#endif
	566
[667]	567	!
[709]	568	!-- Determine the number of ghost point layers
[3347]	569	IF ( scalar_advec == 'ws-scheme' .OR. &
[3999]	570	momentum_advec == 'ws-scheme' .OR. nested_run ) THEN
[667]	571	nbgp = 3
	572	ELSE
	573	nbgp = 1
[709]	574	ENDIF
[667]	575
[102]	576	!
[4241]	577	!-- Check that the number of computational grid points is not smaller than the number of
	578	!-- ghost points.
	579	IF ( nnx < nbgp ) THEN
	580	WRITE( message_string, * ) 'number of subdomain grid points along x (', nnx, ') is smaller',&
	581	'than the number of ghost points (', nbgp, ')'
	582	CALL message( 'init_pegrid', 'PA0682', 1, 2, 0, 6, 0 )
	583	ENDIF
	584	IF ( nny < nbgp ) THEN
	585	WRITE( message_string, * ) 'number of subdomain grid points along y (', nny, ') is smaller',&
	586	'than the number of ghost points (', nbgp, ')'
	587	CALL message( 'init_pegrid', 'PA0683', 1, 2, 0, 6, 0 )
	588	ENDIF
	589
	590	!
[709]	591	!-- Create a new MPI derived datatype for the exchange of surface (xy) data,
	592	!-- which is needed for coupled atmosphere-ocean runs.
	593	!-- First, calculate number of grid points of an xy-plane.
[667]	594	ngp_xy = ( nxr - nxl + 1 + 2 * nbgp ) * ( nyn - nys + 1 + 2 * nbgp )
[102]	595	CALL MPI_TYPE_VECTOR( ngp_xy, 1, nzt-nzb+2, MPI_REAL, type_xy, ierr )
	596	CALL MPI_TYPE_COMMIT( type_xy, ierr )
[667]	597
[2365]	598	IF ( TRIM( coupling_mode ) /= 'uncoupled' .AND. .NOT. vnested ) THEN
[667]	599
	600	!
	601	!-- Pass the number of grid points of the atmosphere model to
	602	!-- the ocean model and vice versa
	603	IF ( coupling_mode == 'atmosphere_to_ocean' ) THEN
	604
	605	nx_a = nx
	606	ny_a = ny
	607
[709]	608	IF ( myid == 0 ) THEN
	609
	610	CALL MPI_SEND( nx_a, 1, MPI_INTEGER, numprocs, 1, comm_inter, &
	611	ierr )
	612	CALL MPI_SEND( ny_a, 1, MPI_INTEGER, numprocs, 2, comm_inter, &
	613	ierr )
	614	CALL MPI_SEND( pdims, 2, MPI_INTEGER, numprocs, 3, comm_inter, &
	615	ierr )
	616	CALL MPI_RECV( nx_o, 1, MPI_INTEGER, numprocs, 4, comm_inter, &
	617	status, ierr )
	618	CALL MPI_RECV( ny_o, 1, MPI_INTEGER, numprocs, 5, comm_inter, &
	619	status, ierr )
	620	CALL MPI_RECV( pdims_remote, 2, MPI_INTEGER, numprocs, 6, &
[667]	621	comm_inter, status, ierr )
	622	ENDIF
	623
[709]	624	CALL MPI_BCAST( nx_o, 1, MPI_INTEGER, 0, comm2d, ierr )
	625	CALL MPI_BCAST( ny_o, 1, MPI_INTEGER, 0, comm2d, ierr )
	626	CALL MPI_BCAST( pdims_remote, 2, MPI_INTEGER, 0, comm2d, ierr )
[667]	627
	628	ELSEIF ( coupling_mode == 'ocean_to_atmosphere' ) THEN
	629
	630	nx_o = nx
	631	ny_o = ny
	632
	633	IF ( myid == 0 ) THEN
[709]	634
	635	CALL MPI_RECV( nx_a, 1, MPI_INTEGER, 0, 1, comm_inter, status, &
	636	ierr )
	637	CALL MPI_RECV( ny_a, 1, MPI_INTEGER, 0, 2, comm_inter, status, &
	638	ierr )
	639	CALL MPI_RECV( pdims_remote, 2, MPI_INTEGER, 0, 3, comm_inter, &
	640	status, ierr )
	641	CALL MPI_SEND( nx_o, 1, MPI_INTEGER, 0, 4, comm_inter, ierr )
	642	CALL MPI_SEND( ny_o, 1, MPI_INTEGER, 0, 5, comm_inter, ierr )
	643	CALL MPI_SEND( pdims, 2, MPI_INTEGER, 0, 6, comm_inter, ierr )
[667]	644	ENDIF
	645
	646	CALL MPI_BCAST( nx_a, 1, MPI_INTEGER, 0, comm2d, ierr)
	647	CALL MPI_BCAST( ny_a, 1, MPI_INTEGER, 0, comm2d, ierr)
	648	CALL MPI_BCAST( pdims_remote, 2, MPI_INTEGER, 0, comm2d, ierr)
	649
	650	ENDIF
	651
[709]	652	ngp_a = ( nx_a+1 + 2 * nbgp ) * ( ny_a+1 + 2 * nbgp )
	653	ngp_o = ( nx_o+1 + 2 * nbgp ) * ( ny_o+1 + 2 * nbgp )
[667]	654
	655	!
[709]	656	!-- Determine if the horizontal grid and the number of PEs in ocean and
	657	!-- atmosphere is same or not
	658	IF ( nx_o == nx_a .AND. ny_o == ny_a .AND. &
[667]	659	pdims(1) == pdims_remote(1) .AND. pdims(2) == pdims_remote(2) ) &
	660	THEN
	661	coupling_topology = 0
	662	ELSE
	663	coupling_topology = 1
	664	ENDIF
	665
	666	!
	667	!-- Determine the target PEs for the exchange between ocean and
	668	!-- atmosphere (comm2d)
[709]	669	IF ( coupling_topology == 0 ) THEN
	670	!
	671	!-- In case of identical topologies, every atmosphere PE has exactly one
	672	!-- ocean PE counterpart and vice versa
	673	IF ( TRIM( coupling_mode ) == 'atmosphere_to_ocean' ) THEN
[667]	674	target_id = myid + numprocs
	675	ELSE
	676	target_id = myid
	677	ENDIF
	678
	679	ELSE
	680	!
	681	!-- In case of nonequivalent topology in ocean and atmosphere only for
	682	!-- PE0 in ocean and PE0 in atmosphere a target_id is needed, since
[709]	683	!-- data echxchange between ocean and atmosphere will be done only
	684	!-- between these PEs.
	685	IF ( myid == 0 ) THEN
	686
	687	IF ( TRIM( coupling_mode ) == 'atmosphere_to_ocean' ) THEN
[667]	688	target_id = numprocs
	689	ELSE
	690	target_id = 0
	691	ENDIF
[709]	692
[667]	693	ENDIF
[709]	694
[667]	695	ENDIF
	696
	697	ENDIF
	698
[2365]	699	!
	700	!-- Store partner grid point co-ordinates as lists.
	701	!-- Create custom MPI vector datatypes for contiguous data transfer
	702	IF ( vnested ) CALL vnest_init_pegrid_domain
[667]	703
[1]	704	#else
	705
	706	!
	707	!-- Array bounds when running on a single PE (respectively a non-parallel
	708	!-- machine)
[1003]	709	nxl = 0
	710	nxr = nx
	711	nnx = nxr - nxl + 1
	712	nys = 0
	713	nyn = ny
	714	nny = nyn - nys + 1
	715	nzb = 0
	716	nzt = nz
	717	nnz = nz
[1]	718
[145]	719	ALLOCATE( hor_index_bounds(4,0:0) )
	720	hor_index_bounds(1,0) = nxl
	721	hor_index_bounds(2,0) = nxr
	722	hor_index_bounds(3,0) = nys
	723	hor_index_bounds(4,0) = nyn
	724
[1]	725	!
	726	!-- Array bounds for the pressure solver (in the parallel code, these bounds
	727	!-- are the ones for the transposed arrays)
[1003]	728	nys_x = nys
	729	nyn_x = nyn
	730	nzb_x = nzb + 1
	731	nzt_x = nzt
[1]	732
[1003]	733	nxl_y = nxl
	734	nxr_y = nxr
	735	nzb_y = nzb + 1
	736	nzt_y = nzt
[1]	737
[1003]	738	nxl_z = nxl
	739	nxr_z = nxr
	740	nys_z = nys
	741	nyn_z = nyn
[1]	742
	743	#endif
	744
	745	!
	746	!-- Calculate number of grid levels necessary for the multigrid poisson solver
	747	!-- as well as the gridpoint indices on each level
[1575]	748	IF ( psolver(1:9) == 'multigrid' ) THEN
[1]	749
	750	!
	751	!-- First calculate number of possible grid levels for the subdomains
	752	mg_levels_x = 1
	753	mg_levels_y = 1
	754	mg_levels_z = 1
	755
	756	i = nnx
	757	DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 )
	758	i = i / 2
	759	mg_levels_x = mg_levels_x + 1
	760	ENDDO
	761
	762	j = nny
	763	DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 )
	764	j = j / 2
	765	mg_levels_y = mg_levels_y + 1
	766	ENDDO
	767
[181]	768	k = nz ! do not use nnz because it might be > nz due to transposition
	769	! requirements
[1]	770	DO WHILE ( MOD( k, 2 ) == 0 .AND. k /= 2 )
	771	k = k / 2
	772	mg_levels_z = mg_levels_z + 1
	773	ENDDO
[2197]	774	!
	775	!-- The optimized MG-solver does not allow odd values for nz at the coarsest
	776	!-- grid level
	777	IF ( TRIM( psolver ) /= 'multigrid_noopt' ) THEN
	778	IF ( MOD( k, 2 ) /= 0 ) mg_levels_z = mg_levels_z - 1
[3057]	779	!
	780	!-- An odd value of nz does not work. The finest level must have an even
	781	!-- value.
	782	IF ( mg_levels_z == 0 ) THEN
	783	message_string = 'optimized multigrid method requires nz to be even'
[3058]	784	CALL message( 'init_pegrid', 'PA0495', 1, 2, 0, 6, 0 )
[3057]	785	ENDIF
[2197]	786	ENDIF
[1]	787
	788	maximum_grid_level = MIN( mg_levels_x, mg_levels_y, mg_levels_z )
[3890]	789	!
	790	!-- Check if subdomain sizes prevents any coarsening.
	791	!-- This case, the maximum number of grid levels is 1, i.e. effectively
	792	!-- a Gauss-Seidel scheme is applied rather than a multigrid approach.
[3897]	793	!-- Give a warning in this case.
	794	IF ( maximum_grid_level == 1 .AND. mg_switch_to_pe0_level == -1 ) THEN
	795	message_string = 'No grid coarsening possible, multigrid ' // &
	796	'approach effectively reduces to a Gauss-Seidel ' //&
	797	'scheme.'
	798
	799	CALL message( 'poismg', 'PA0648', 0, 1, 0, 6, 0 )
[3890]	800	ENDIF
[1]	801
	802	!
	803	!-- Find out, if the total domain allows more levels. These additional
[709]	804	!-- levels are identically processed on all PEs.
[197]	805	IF ( numprocs > 1 .AND. mg_switch_to_pe0_level /= -1 ) THEN
[709]	806
[1]	807	IF ( mg_levels_z > MIN( mg_levels_x, mg_levels_y ) ) THEN
[709]	808
[1]	809	mg_switch_to_pe0_level_l = maximum_grid_level
	810
	811	mg_levels_x = 1
	812	mg_levels_y = 1
	813
	814	i = nx+1
	815	DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 )
	816	i = i / 2
	817	mg_levels_x = mg_levels_x + 1
	818	ENDDO
	819
	820	j = ny+1
	821	DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 )
	822	j = j / 2
	823	mg_levels_y = mg_levels_y + 1
	824	ENDDO
	825
	826	maximum_grid_level_l = MIN( mg_levels_x, mg_levels_y, mg_levels_z )
	827
	828	IF ( maximum_grid_level_l > mg_switch_to_pe0_level_l ) THEN
	829	mg_switch_to_pe0_level_l = maximum_grid_level_l - &
	830	mg_switch_to_pe0_level_l + 1
	831	ELSE
	832	mg_switch_to_pe0_level_l = 0
	833	ENDIF
[709]	834
[1]	835	ELSE
[3057]	836
[1]	837	mg_switch_to_pe0_level_l = 0
	838	maximum_grid_level_l = maximum_grid_level
[709]	839
[1]	840	ENDIF
	841
	842	!
	843	!-- Use switch level calculated above only if it is not pre-defined
	844	!-- by user
	845	IF ( mg_switch_to_pe0_level == 0 ) THEN
	846	IF ( mg_switch_to_pe0_level_l /= 0 ) THEN
	847	mg_switch_to_pe0_level = mg_switch_to_pe0_level_l
	848	maximum_grid_level = maximum_grid_level_l
	849	ENDIF
	850
	851	ELSE
	852	!
	853	!-- Check pre-defined value and reset to default, if neccessary
[3045]	854	IF ( mg_switch_to_pe0_level < mg_switch_to_pe0_level_l .OR. &
[1]	855	mg_switch_to_pe0_level >= maximum_grid_level_l ) THEN
[3045]	856	message_string = 'mg_switch_to_pe0_level ' // &
[2271]	857	'out of range and reset to 0'
[254]	858	CALL message( 'init_pegrid', 'PA0235', 0, 1, 0, 6, 0 )
[1]	859	mg_switch_to_pe0_level = 0
	860	ELSE
	861	!
	862	!-- Use the largest number of possible levels anyway and recalculate
	863	!-- the switch level to this largest number of possible values
	864	maximum_grid_level = maximum_grid_level_l
	865
	866	ENDIF
[709]	867
[1]	868	ENDIF
	869
	870	ENDIF
	871
[1056]	872	ALLOCATE( grid_level_count(maximum_grid_level), &
	873	nxl_mg(0:maximum_grid_level), nxr_mg(0:maximum_grid_level), &
	874	nyn_mg(0:maximum_grid_level), nys_mg(0:maximum_grid_level), &
	875	nzt_mg(0:maximum_grid_level) )
[1]	876
	877	grid_level_count = 0
[1056]	878	!
	879	!-- Index zero required as dummy due to definition of arrays f2 and p2 in
	880	!-- recursive subroutine next_mg_level
	881	nxl_mg(0) = 0; nxr_mg(0) = 0; nyn_mg(0) = 0; nys_mg(0) = 0; nzt_mg(0) = 0
[778]	882
[1]	883	nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzt_l = nzt
	884
	885	DO i = maximum_grid_level, 1 , -1
	886
	887	IF ( i == mg_switch_to_pe0_level ) THEN
[1804]	888	#if defined( __parallel )
[1]	889	!
	890	!-- Save the grid size of the subdomain at the switch level, because
	891	!-- it is needed in poismg.
	892	ind(1) = nxl_l; ind(2) = nxr_l
	893	ind(3) = nys_l; ind(4) = nyn_l
	894	ind(5) = nzt_l
	895	ALLOCATE( ind_all(5*numprocs), mg_loc_ind(5,0:numprocs-1) )
	896	CALL MPI_ALLGATHER( ind, 5, MPI_INTEGER, ind_all, 5, &
	897	MPI_INTEGER, comm2d, ierr )
	898	DO j = 0, numprocs-1
	899	DO k = 1, 5
	900	mg_loc_ind(k,j) = ind_all(k+j*5)
	901	ENDDO
	902	ENDDO
	903	DEALLOCATE( ind_all )
	904	!
[709]	905	!-- Calculate the grid size of the total domain
[1]	906	nxr_l = ( nxr_l-nxl_l+1 ) * pdims(1) - 1
	907	nxl_l = 0
	908	nyn_l = ( nyn_l-nys_l+1 ) * pdims(2) - 1
	909	nys_l = 0
	910	!
	911	!-- The size of this gathered array must not be larger than the
	912	!-- array tend, which is used in the multigrid scheme as a temporary
[778]	913	!-- array. Therefore the subdomain size of an PE is calculated and
	914	!-- the size of the gathered grid. These values are used in
	915	!-- routines pres and poismg
	916	subdomain_size = ( nxr - nxl + 2 * nbgp + 1 ) * &
	917	( nyn - nys + 2 * nbgp + 1 ) * ( nzt - nzb + 2 )
[3045]	918	gathered_size = ( nxr_l - nxl_l + 3 ) * ( nyn_l - nys_l + 3 ) * &
[1]	919	( nzt_l - nzb + 2 )
	920
[1804]	921	#else
[3045]	922	message_string = 'multigrid gather/scatter impossible ' // &
[1]	923	'in non parallel mode'
[254]	924	CALL message( 'init_pegrid', 'PA0237', 1, 2, 0, 6, 0 )
[1]	925	#endif
	926	ENDIF
	927
	928	nxl_mg(i) = nxl_l
	929	nxr_mg(i) = nxr_l
	930	nys_mg(i) = nys_l
	931	nyn_mg(i) = nyn_l
	932	nzt_mg(i) = nzt_l
	933
	934	nxl_l = nxl_l / 2
	935	nxr_l = nxr_l / 2
	936	nys_l = nys_l / 2
	937	nyn_l = nyn_l / 2
	938	nzt_l = nzt_l / 2
[3890]	939
[1]	940	ENDDO
	941
[780]	942	!
[3045]	943	!-- Temporary problem: Currently calculation of maxerror in routine poismg crashes
[780]	944	!-- if grid data are collected on PE0 already on the finest grid level.
	945	!-- To be solved later.
	946	IF ( maximum_grid_level == mg_switch_to_pe0_level ) THEN
	947	message_string = 'grid coarsening on subdomain level cannot be performed'
	948	CALL message( 'poismg', 'PA0236', 1, 2, 0, 6, 0 )
	949	ENDIF
	950
[1]	951	ELSE
	952
[667]	953	maximum_grid_level = 0
[1]	954
	955	ENDIF
	956
[722]	957	!
	958	!-- Default level 0 tells exchange_horiz that all ghost planes have to be
	959	!-- exchanged. grid_level is adjusted in poismg, where only one ghost plane
	960	!-- is required.
	961	grid_level = 0
[1]	962
[1804]	963	#if defined( __parallel )
[1]	964	!
	965	!-- Gridpoint number for the exchange of ghost points (y-line for 2D-arrays)
[667]	966	ngp_y = nyn - nys + 1 + 2 * nbgp
[1]	967
	968	!
[709]	969	!-- Define new MPI derived datatypes for the exchange of ghost points in
	970	!-- x- and y-direction for 2D-arrays (line)
[1968]	971	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_REAL, type_x, &
[709]	972	ierr )
[1]	973	CALL MPI_TYPE_COMMIT( type_x, ierr )
	974
[667]	975	CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_REAL, type_y, ierr )
	976	CALL MPI_TYPE_COMMIT( type_y, ierr )
[1968]	977	!
	978	!-- Define new MPI derived datatypes for the exchange of ghost points in
[3542]	979	!-- x- and y-direction for 2D-INTEGER arrays (line) - on normal grid.
	980	!-- Define types for 32-bit and 8-bit Integer. The 8-bit Integer are only
	981	!-- required on normal grid, while 32-bit Integer may be also required on
	982	!-- coarser grid level in case of multigrid solver.
	983	!
	984	!-- 8-bit Integer
	985	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_BYTE, &
	986	type_x_byte, ierr )
	987	CALL MPI_TYPE_COMMIT( type_x_byte, ierr )
	988
	989	CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_BYTE, &
	990	type_y_byte, ierr )
	991	CALL MPI_TYPE_COMMIT( type_y_byte, ierr )
	992	!
	993	!-- 32-bit Integer
[1968]	994	ALLOCATE( type_x_int(0:maximum_grid_level), &
	995	type_y_int(0:maximum_grid_level) )
[3542]	996
[1968]	997	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_INTEGER, &
	998	type_x_int(0), ierr )
	999	CALL MPI_TYPE_COMMIT( type_x_int(0), ierr )
[667]	1000
[1968]	1001	CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_INTEGER, type_y_int(0), ierr )
	1002	CALL MPI_TYPE_COMMIT( type_y_int(0), ierr )
[1]	1003	!
	1004	!-- Calculate gridpoint numbers for the exchange of ghost points along x
	1005	!-- (yz-plane for 3D-arrays) and define MPI derived data type(s) for the
	1006	!-- exchange of ghost points in y-direction (xz-plane).
	1007	!-- Do these calculations for the model grid and (if necessary) also
	1008	!-- for the coarser grid levels used in the multigrid method
[2696]	1009	ALLOCATE ( ngp_xz(0:maximum_grid_level), &
	1010	ngp_xz_int(0:maximum_grid_level), &
	1011	ngp_yz(0:maximum_grid_level), &
	1012	ngp_yz_int(0:maximum_grid_level), &
	1013	type_xz(0:maximum_grid_level), &
	1014	type_xz_int(0:maximum_grid_level), &
	1015	type_yz(0:maximum_grid_level), &
	1016	type_yz_int(0:maximum_grid_level) )
[1]	1017
	1018	nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzb_l = nzb; nzt_l = nzt
[709]	1019
[667]	1020	!
	1021	!-- Discern between the model grid, which needs nbgp ghost points and
	1022	!-- grid levels for the multigrid scheme. In the latter case only one
	1023	!-- ghost point is necessary.
[709]	1024	!-- First definition of MPI-datatypes for exchange of ghost layers on normal
[667]	1025	!-- grid. The following loop is needed for data exchange in poismg.f90.
	1026	!
	1027	!-- Determine number of grid points of yz-layer for exchange
	1028	ngp_yz(0) = (nzt - nzb + 2) * (nyn - nys + 1 + 2 * nbgp)
[709]	1029
[667]	1030	!
[709]	1031	!-- Define an MPI-datatype for the exchange of left/right boundaries.
	1032	!-- Although data are contiguous in physical memory (which does not
	1033	!-- necessarily require an MPI-derived datatype), the data exchange between
	1034	!-- left and right PE's using the MPI-derived type is 10% faster than without.
[667]	1035	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2nbgp, nbgp(nzt-nzb+2), ngp_yz(0), &
[709]	1036	MPI_REAL, type_xz(0), ierr )
[667]	1037	CALL MPI_TYPE_COMMIT( type_xz(0), ierr )
[1]	1038
[709]	1039	CALL MPI_TYPE_VECTOR( nbgp, ngp_yz(0), ngp_yz(0), MPI_REAL, type_yz(0), &
	1040	ierr )
[667]	1041	CALL MPI_TYPE_COMMIT( type_yz(0), ierr )
[709]	1042
[667]	1043	!
[2696]	1044	!-- Define data types for exchange of 3D Integer arrays.
	1045	ngp_yz_int(0) = (nzt - nzb + 2) * (nyn - nys + 1 + 2 * nbgp)
	1046
	1047	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2nbgp, nbgp(nzt-nzb+2), ngp_yz_int(0), &
	1048	MPI_INTEGER, type_xz_int(0), ierr )
	1049	CALL MPI_TYPE_COMMIT( type_xz_int(0), ierr )
	1050
	1051	CALL MPI_TYPE_VECTOR( nbgp, ngp_yz_int(0), ngp_yz_int(0), MPI_INTEGER, &
	1052	type_yz_int(0), ierr )
	1053	CALL MPI_TYPE_COMMIT( type_yz_int(0), ierr )
	1054
	1055	!
[709]	1056	!-- Definition of MPI-datatypes for multigrid method (coarser level grids)
[1575]	1057	IF ( psolver(1:9) == 'multigrid' ) THEN
[667]	1058	!
[709]	1059	!-- Definition of MPI-datatyoe as above, but only 1 ghost level is used
	1060	DO i = maximum_grid_level, 1 , -1
[1968]	1061	!
[2696]	1062	!-- For 3D-exchange on different multigrid level, one ghost point for
	1063	!-- REAL arrays, two ghost points for INTEGER arrays
[1575]	1064	ngp_xz(i) = (nzt_l - nzb_l + 2) * (nxr_l - nxl_l + 3)
[667]	1065	ngp_yz(i) = (nzt_l - nzb_l + 2) * (nyn_l - nys_l + 3)
	1066
[2696]	1067	ngp_xz_int(i) = (nzt_l - nzb_l + 2) * (nxr_l - nxl_l + 3)
	1068	ngp_yz_int(i) = (nzt_l - nzb_l + 2) * (nyn_l - nys_l + 3)
	1069	!
	1070	!-- MPI data type for REAL arrays, for xz-layers
	1071	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+3, nzt_l-nzb_l+2, ngp_yz(i), &
[709]	1072	MPI_REAL, type_xz(i), ierr )
[667]	1073	CALL MPI_TYPE_COMMIT( type_xz(i), ierr )
[1]	1074
[2696]	1075	!
	1076	!-- MPI data type for INTEGER arrays, for xz-layers
	1077	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+3, nzt_l-nzb_l+2, ngp_yz_int(i), &
	1078	MPI_INTEGER, type_xz_int(i), ierr )
	1079	CALL MPI_TYPE_COMMIT( type_xz_int(i), ierr )
	1080
	1081	!
	1082	!-- MPI data type for REAL arrays, for yz-layers
[709]	1083	CALL MPI_TYPE_VECTOR( 1, ngp_yz(i), ngp_yz(i), MPI_REAL, type_yz(i), &
	1084	ierr )
[667]	1085	CALL MPI_TYPE_COMMIT( type_yz(i), ierr )
[2696]	1086	!
	1087	!-- MPI data type for INTEGER arrays, for yz-layers
	1088	CALL MPI_TYPE_VECTOR( 1, ngp_yz_int(i), ngp_yz_int(i), MPI_INTEGER, &
	1089	type_yz_int(i), ierr )
	1090	CALL MPI_TYPE_COMMIT( type_yz_int(i), ierr )
[667]	1091
[1968]	1092
	1093	!-- For 2D-exchange of INTEGER arrays on coarser grid level, where 2 ghost
[3542]	1094	!-- points need to be exchanged. Only required for 32-bit Integer arrays.
	1095	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+5, 2, nyn_l-nys_l+5, MPI_INTEGER, &
[1968]	1096	type_x_int(i), ierr )
	1097	CALL MPI_TYPE_COMMIT( type_x_int(i), ierr )
	1098
	1099
[3542]	1100	CALL MPI_TYPE_VECTOR( 2, nyn_l-nys_l+5, nyn_l-nys_l+5, MPI_INTEGER, &
[1968]	1101	type_y_int(i), ierr )
	1102	CALL MPI_TYPE_COMMIT( type_y_int(i), ierr )
	1103
[667]	1104	nxl_l = nxl_l / 2
	1105	nxr_l = nxr_l / 2
	1106	nys_l = nys_l / 2
	1107	nyn_l = nyn_l / 2
	1108	nzt_l = nzt_l / 2
[709]	1109
[667]	1110	ENDDO
[709]	1111
	1112	ENDIF
[1677]	1113
[1]	1114	#endif
	1115
[1804]	1116	#if defined( __parallel )
[1]	1117	!
[1933]	1118	!-- Setting of flags for inflow/outflow/nesting conditions.
[1964]	1119	IF ( pleft == MPI_PROC_NULL ) THEN
[3182]	1120	IF ( bc_lr == 'dirichlet/radiation' .OR. bc_lr == 'nested' .OR. &
	1121	bc_lr == 'nesting_offline' ) THEN
	1122	bc_dirichlet_l = .TRUE.
[1964]	1123	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
[3182]	1124	bc_radiation_l = .TRUE.
[1]	1125	ENDIF
	1126	ENDIF
[1933]	1127
[1964]	1128	IF ( pright == MPI_PROC_NULL ) THEN
	1129	IF ( bc_lr == 'dirichlet/radiation' ) THEN
[3182]	1130	bc_radiation_r = .TRUE.
	1131	ELSEIF ( bc_lr == 'radiation/dirichlet' .OR. bc_lr == 'nested' .OR. &
	1132	bc_lr == 'nesting_offline' ) THEN
	1133	bc_dirichlet_r = .TRUE.
[1]	1134	ENDIF
	1135	ENDIF
	1136
[1964]	1137	IF ( psouth == MPI_PROC_NULL ) THEN
	1138	IF ( bc_ns == 'dirichlet/radiation' ) THEN
[3182]	1139	bc_radiation_s = .TRUE.
	1140	ELSEIF ( bc_ns == 'radiation/dirichlet' .OR. bc_ns == 'nested' .OR. &
	1141	bc_ns == 'nesting_offline' ) THEN
	1142	bc_dirichlet_s = .TRUE.
[1]	1143	ENDIF
	1144	ENDIF
	1145
[1964]	1146	IF ( pnorth == MPI_PROC_NULL ) THEN
[3182]	1147	IF ( bc_ns == 'dirichlet/radiation' .OR. bc_ns == 'nested' .OR. &
	1148	bc_ns == 'nesting_offline' ) THEN
	1149	bc_dirichlet_n = .TRUE.
[1964]	1150	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
[3182]	1151	bc_radiation_n = .TRUE.
[1]	1152	ENDIF
	1153	ENDIF
[2938]	1154	!
	1155	!-- In case of synthetic turbulence geneartor determine ids.
	1156	!-- Please note, if no forcing or nesting is applied, the generator is applied
	1157	!-- only at the left lateral boundary.
	1158	IF ( use_syn_turb_gen ) THEN
[3182]	1159	IF ( bc_dirichlet_l ) THEN
[2938]	1160	id_stg_left_l = myidx
	1161	ELSE
	1162	id_stg_left_l = 0
	1163	ENDIF
[3182]	1164	IF ( bc_dirichlet_r ) THEN
[2938]	1165	id_stg_right_l = myidx
	1166	ELSE
	1167	id_stg_right_l = 0
	1168	ENDIF
[3182]	1169	IF ( bc_dirichlet_s ) THEN
[2938]	1170	id_stg_south_l = myidy
	1171	ELSE
	1172	id_stg_south_l = 0
	1173	ENDIF
[3182]	1174	IF ( bc_dirichlet_n ) THEN
[2938]	1175	id_stg_north_l = myidy
	1176	ELSE
	1177	id_stg_north_l = 0
	1178	ENDIF
[1968]	1179
[2938]	1180	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1181	CALL MPI_ALLREDUCE( id_stg_left_l, id_stg_left, 1, MPI_INTEGER, &
	1182	MPI_SUM, comm1dx, ierr )
	1183
	1184	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1185	CALL MPI_ALLREDUCE( id_stg_right_l, id_stg_right, 1, MPI_INTEGER, &
	1186	MPI_SUM, comm1dx, ierr )
	1187
	1188	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1189	CALL MPI_ALLREDUCE( id_stg_south_l, id_stg_south, 1, MPI_INTEGER, &
	1190	MPI_SUM, comm1dy, ierr )
	1191
	1192	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1193	CALL MPI_ALLREDUCE( id_stg_north_l, id_stg_north, 1, MPI_INTEGER, &
	1194	MPI_SUM, comm1dy, ierr )
	1195
	1196	ENDIF
	1197
[151]	1198	!
	1199	!-- Broadcast the id of the inflow PE
[3182]	1200	IF ( bc_dirichlet_l ) THEN
[163]	1201	id_inflow_l = myidx
[151]	1202	ELSE
	1203	id_inflow_l = 0
	1204	ENDIF
[622]	1205	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[151]	1206	CALL MPI_ALLREDUCE( id_inflow_l, id_inflow, 1, MPI_INTEGER, MPI_SUM, &
	1207	comm1dx, ierr )
	1208
[163]	1209	!
	1210	!-- Broadcast the id of the recycling plane
	1211	!-- WARNING: needs to be adjusted in case of inflows other than from left side!
[3884]	1212	IF ( turbulent_inflow ) THEN
	1213
[4045]	1214	IF ( NINT( recycling_width / dx, KIND=idp ) >= nxl .AND. &
	1215	NINT( recycling_width / dx, KIND=idp ) <= nxr ) THEN
[3884]	1216	id_recycling_l = myidx
	1217	ELSE
	1218	id_recycling_l = 0
	1219	ENDIF
	1220	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1221	CALL MPI_ALLREDUCE( id_recycling_l, id_recycling, 1, MPI_INTEGER, MPI_SUM, &
	1222	comm1dx, ierr )
	1223
[163]	1224	ENDIF
	1225
[2050]	1226	!
	1227	!-- Broadcast the id of the outflow PE and outflow-source plane
	1228	IF ( turbulent_outflow ) THEN
	1229
[3182]	1230	IF ( bc_radiation_r ) THEN
[2050]	1231	id_outflow_l = myidx
	1232	ELSE
	1233	id_outflow_l = 0
	1234	ENDIF
	1235	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1236	CALL MPI_ALLREDUCE( id_outflow_l, id_outflow, 1, MPI_INTEGER, MPI_SUM, &
	1237	comm1dx, ierr )
	1238
	1239	IF ( NINT( outflow_source_plane / dx ) >= nxl .AND. &
	1240	NINT( outflow_source_plane / dx ) <= nxr ) THEN
	1241	id_outflow_source_l = myidx
	1242	ELSE
	1243	id_outflow_source_l = 0
	1244	ENDIF
	1245	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1246	CALL MPI_ALLREDUCE( id_outflow_source_l, id_outflow_source, 1, &
	1247	MPI_INTEGER, MPI_SUM, comm1dx, ierr )
	1248
	1249	ENDIF
	1250
[3885]	1251	CALL location_message( 'creating virtual PE grids + MPI derived data types', 'finished' )
[1384]	1252
[1804]	1253	#else
[1159]	1254	IF ( bc_lr == 'dirichlet/radiation' ) THEN
[3182]	1255	bc_dirichlet_l = .TRUE.
	1256	bc_radiation_r = .TRUE.
[1159]	1257	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
[3182]	1258	bc_radiation_l = .TRUE.
	1259	bc_dirichlet_r = .TRUE.
[1]	1260	ENDIF
	1261
[1159]	1262	IF ( bc_ns == 'dirichlet/radiation' ) THEN
[3182]	1263	bc_dirichlet_n = .TRUE.
	1264	bc_radiation_s = .TRUE.
[1159]	1265	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
[3182]	1266	bc_radiation_n = .TRUE.
	1267	bc_dirichlet_s = .TRUE.
[1]	1268	ENDIF
	1269	#endif
[807]	1270
[106]	1271	!
[978]	1272	!-- At the inflow or outflow, u or v, respectively, have to be calculated for
	1273	!-- one more grid point.
[3182]	1274	IF ( bc_dirichlet_l .OR. bc_radiation_l ) THEN
[106]	1275	nxlu = nxl + 1
	1276	ELSE
	1277	nxlu = nxl
	1278	ENDIF
[3182]	1279	IF ( bc_dirichlet_s .OR. bc_radiation_s ) THEN
[106]	1280	nysv = nys + 1
	1281	ELSE
	1282	nysv = nys
	1283	ENDIF
[1]	1284
[114]	1285	!
	1286	!-- Allocate wall flag arrays used in the multigrid solver
[1575]	1287	IF ( psolver(1:9) == 'multigrid' ) THEN
[114]	1288
	1289	DO i = maximum_grid_level, 1, -1
	1290
	1291	SELECT CASE ( i )
	1292
	1293	CASE ( 1 )
	1294	ALLOCATE( wall_flags_1(nzb:nzt_mg(i)+1, &
	1295	nys_mg(i)-1:nyn_mg(i)+1, &
	1296	nxl_mg(i)-1:nxr_mg(i)+1) )
	1297
	1298	CASE ( 2 )
	1299	ALLOCATE( wall_flags_2(nzb:nzt_mg(i)+1, &
	1300	nys_mg(i)-1:nyn_mg(i)+1, &
	1301	nxl_mg(i)-1:nxr_mg(i)+1) )
	1302
	1303	CASE ( 3 )
	1304	ALLOCATE( wall_flags_3(nzb:nzt_mg(i)+1, &
	1305	nys_mg(i)-1:nyn_mg(i)+1, &
	1306	nxl_mg(i)-1:nxr_mg(i)+1) )
	1307
	1308	CASE ( 4 )
	1309	ALLOCATE( wall_flags_4(nzb:nzt_mg(i)+1, &
	1310	nys_mg(i)-1:nyn_mg(i)+1, &
	1311	nxl_mg(i)-1:nxr_mg(i)+1) )
	1312
	1313	CASE ( 5 )
	1314	ALLOCATE( wall_flags_5(nzb:nzt_mg(i)+1, &
	1315	nys_mg(i)-1:nyn_mg(i)+1, &
	1316	nxl_mg(i)-1:nxr_mg(i)+1) )
	1317
	1318	CASE ( 6 )
	1319	ALLOCATE( wall_flags_6(nzb:nzt_mg(i)+1, &
	1320	nys_mg(i)-1:nyn_mg(i)+1, &
	1321	nxl_mg(i)-1:nxr_mg(i)+1) )
	1322
	1323	CASE ( 7 )
	1324	ALLOCATE( wall_flags_7(nzb:nzt_mg(i)+1, &
	1325	nys_mg(i)-1:nyn_mg(i)+1, &
	1326	nxl_mg(i)-1:nxr_mg(i)+1) )
	1327
	1328	CASE ( 8 )
	1329	ALLOCATE( wall_flags_8(nzb:nzt_mg(i)+1, &
	1330	nys_mg(i)-1:nyn_mg(i)+1, &
	1331	nxl_mg(i)-1:nxr_mg(i)+1) )
	1332
	1333	CASE ( 9 )
	1334	ALLOCATE( wall_flags_9(nzb:nzt_mg(i)+1, &
	1335	nys_mg(i)-1:nyn_mg(i)+1, &
	1336	nxl_mg(i)-1:nxr_mg(i)+1) )
	1337
	1338	CASE ( 10 )
	1339	ALLOCATE( wall_flags_10(nzb:nzt_mg(i)+1, &
	1340	nys_mg(i)-1:nyn_mg(i)+1, &
	1341	nxl_mg(i)-1:nxr_mg(i)+1) )
	1342
	1343	CASE DEFAULT
[254]	1344	message_string = 'more than 10 multigrid levels'
	1345	CALL message( 'init_pegrid', 'PA0238', 1, 2, 0, 6, 0 )
[114]	1346
	1347	END SELECT
	1348
	1349	ENDDO
	1350
	1351	ENDIF
	1352
[1]	1353	END SUBROUTINE init_pegrid

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