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source: palm/trunk/SOURCE/init_pegrid.f90 @ 4288

Last change on this file since 4288 was 4264, checked in by scharf, 5 years ago
corrected error message string for incompatible combinations of nx, ny or nz with pdims(1) or pdims(2)
Property svn:keywords set to `Id`
File size: 50.6 KB

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

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