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source: palm/trunk/SOURCE/init_pegrid.f90 @ 4261

Last change on this file since 4261 was 4241, checked in by raasch, 5 years ago
Check added to ensure that subdomain grid has at least the size as given by the number of ghost points
Property svn:keywords set to `Id`
File size: 50.4 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 4241 2019-09-27 06:32:47Z scharf $
27	! Check added to ensure that subdomain grid has at least the size as given by the number
28	! of ghost points
29	!
30	! 4182 2019-08-22 15:20:23Z scharf
31	! Corrected "Former revisions" section
32	!
33	! 4045 2019-06-21 10:58:47Z raasch
34	! bugfix: kind attribute added to nint function to allow for large integers which may appear in
35	! case of default recycling width and small grid spacings
36	!
37	! 3999 2019-05-23 16:09:37Z suehring
38	! Spend 3 ghost points also in case of pw-scheme when nesting is applied
39	!
40	! 3897 2019-04-15 11:51:14Z suehring
41	! Minor revision of multigrid check; give warning instead of an abort.
42	!
43	! 3890 2019-04-12 15:59:20Z suehring
44	! Check if grid coarsening is possible on subdomain, in order to avoid that
45	! multigrid approach effectively reduces to a Gauss-Seidel scheme.
46	!
47	! 3885 2019-04-11 11:29:34Z kanani
48	! Changes related to global restructuring of location messages and introduction
49	! of additional debug messages
50	!
51	! 3884 2019-04-10 13:31:55Z Giersch
52	! id_recycling is only calculated in case of tubulent inflow
53	!
54	! 3761 2019-02-25 15:31:42Z raasch
55	! unused variable removed
56	!
57	! 3655 2019-01-07 16:51:22Z knoop
58	! variables documented
59	!
60	! Revision 1.1 1997/07/24 11:15:09 raasch
61	! Initial revision
62	!
63	!
64	! Description:
65	! ------------
66	!> Determination of the virtual processor topology (if not prescribed by the
67	!> user)and computation of the grid point number and array bounds of the local
68	!> domains.
69	!> @todo: remove MPI-data types for 2D exchange on coarse multigrid level (not
70	!> used any more)
71	!------------------------------------------------------------------------------!
72	SUBROUTINE init_pegrid
73
74
75	USE control_parameters, &
76	ONLY: bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, bc_dirichlet_s, &
77	bc_lr, bc_ns, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
78	bc_radiation_s, coupling_mode, coupling_topology, gathered_size,&
79	grid_level, grid_level_count, maximum_grid_level, &
80	message_string, mg_switch_to_pe0_level, momentum_advec, &
81	psolver, outflow_source_plane, recycling_width, scalar_advec, &
82	subdomain_size, turbulent_inflow, turbulent_outflow, y_shift
83
84	USE grid_variables, &
85	ONLY: dx
86
87	USE indices, &
88	ONLY: mg_loc_ind, nbgp, nnx, nny, nnz, nx, nx_a, nx_o, nxl, nxl_mg, &
89	nxlu, nxr, nxr_mg, ny, ny_a, ny_o, nyn, nyn_mg, nys, nys_mg, &
90	nysv, nz, nzb, nzt, nzt_mg, wall_flags_1, wall_flags_2, &
91	wall_flags_3, wall_flags_4, wall_flags_5, wall_flags_6, &
92	wall_flags_7, wall_flags_8, wall_flags_9, wall_flags_10
93
94	USE kinds
95
96	USE pegrid
97
98	USE pmc_interface, &
99	ONLY: nested_run
100
101	USE spectra_mod, &
102	ONLY: calculate_spectra, dt_dosp
103
104	USE synthetic_turbulence_generator_mod, &
105	ONLY: id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
106	use_syn_turb_gen
107
108	USE transpose_indices, &
109	ONLY: nxl_y, nxl_yd, nxl_z, nxr_y, nxr_yd, nxr_z, nyn_x, nyn_z, nys_x,&
110	nys_z, nzb_x, nzb_y, nzb_yd, nzt_x, nzt_yd, nzt_y
111
112	USE vertical_nesting_mod, &
113	ONLY: vnested, vnest_init_pegrid_domain, vnest_init_pegrid_rank
114
115	IMPLICIT NONE
116
117	INTEGER(iwp) :: i !< running index over number of processors or number of multigrid level
118	INTEGER(iwp) :: id_inflow_l !< ID indicating processors located at the left inflow boundary
119	INTEGER(iwp) :: id_outflow_l !< local value of id_outflow
120	INTEGER(iwp) :: id_outflow_source_l !< local value of id_outflow_source
121	INTEGER(iwp) :: id_recycling_l !< ID indicating processors located at the recycling plane
122	INTEGER(iwp) :: id_stg_left_l !< left lateral boundary local core id in case of turbulence generator
123	INTEGER(iwp) :: id_stg_north_l !< north lateral boundary local core id in case of turbulence generator
124	INTEGER(iwp) :: id_stg_right_l !< right lateral boundary local core id in case of turbulence generator
125	INTEGER(iwp) :: id_stg_south_l !< south lateral boundary local core id in case of turbulence generator
126	INTEGER(iwp) :: ind(5) !< array containing the subdomain bounds
127	INTEGER(iwp) :: j !< running index, used for various loops
128	INTEGER(iwp) :: k !< number of vertical grid points in different multigrid level
129	INTEGER(iwp) :: maximum_grid_level_l !< maximum number of grid level without switching to PE 0
130	INTEGER(iwp) :: mg_levels_x !< maximum number of grid level allowed along x-direction
131	INTEGER(iwp) :: mg_levels_y !< maximum number of grid level allowed along y-direction
132	INTEGER(iwp) :: mg_levels_z !< maximum number of grid level allowed along z-direction
133	INTEGER(iwp) :: mg_switch_to_pe0_level_l !< maximum number of grid level with switching to PE 0
134	INTEGER(iwp) :: nnx_y !< quotient of number of grid points along x-direction and number of PEs used along y-direction
135	INTEGER(iwp) :: nny_x !< quotient of number of grid points along y-direction and number of PEs used along x-direction
136	INTEGER(iwp) :: nny_z !< quotient of number of grid points along y-direction and number of PEs used along x-direction
137	INTEGER(iwp) :: nnz_x !< quotient of number of grid points along z-direction and number of PEs used along x-direction
138	INTEGER(iwp) :: nnz_y !< quotient of number of grid points along z-direction and number of PEs used along x-direction
139	INTEGER(iwp) :: numproc_sqr !< square root of the number of processors
140	INTEGER(iwp) :: nxl_l !< lower index bound along x-direction on subdomain and different multigrid level
141	INTEGER(iwp) :: nxr_l !< upper index bound along x-direction on subdomain and different multigrid level
142	INTEGER(iwp) :: nyn_l !< lower index bound along y-direction on subdomain and different multigrid level
143	INTEGER(iwp) :: nys_l !< upper index bound along y-direction on subdomain and different multigrid level
144	INTEGER(iwp) :: nzb_l !< lower index bound along z-direction on subdomain and different multigrid level
145	INTEGER(iwp) :: nzt_l !< upper index bound along z-direction on subdomain and different multigrid level
146	!$ INTEGER(iwp) :: omp_get_num_threads !< number of OpenMP threads
147
148	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ind_all !< dummy array containing index bounds on subdomain, used for gathering
149	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nxlf !< lower index bound allong x-direction for every PE
150	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nxrf !< upper index bound allong x-direction for every PE
151	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nynf !< lower index bound allong y-direction for every PE
152	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nysf !< lower index bound allong y-direction for every PE
153
154	INTEGER(iwp), DIMENSION(2) :: pdims_remote !< number of PEs used for coupled model (only in atmospher-ocean coupling)
155	INTEGER(iwp) :: lcoord(2) !< PE coordinates of left neighbor along x and y
156	INTEGER(iwp) :: rcoord(2) !< PE coordinates of right neighbor along x and y
157
158	!
159	!-- Get the number of OpenMP threads
160	!$OMP PARALLEL
161	!$ threads_per_task = omp_get_num_threads()
162	!$OMP END PARALLEL
163
164
165	#if defined( __parallel )
166
167	CALL location_message( 'creating virtual PE grids + MPI derived data types', 'start' )
168
169	!
170	!-- Determine the processor topology or check it, if prescribed by the user
171	IF ( npex == -1 .AND. npey == -1 ) THEN
172
173	!
174	!-- Automatic determination of the topology
175	numproc_sqr = SQRT( REAL( numprocs, KIND=wp ) )
176	pdims(1) = MAX( numproc_sqr , 1 )
177	DO WHILE ( MOD( numprocs , pdims(1) ) /= 0 )
178	pdims(1) = pdims(1) - 1
179	ENDDO
180	pdims(2) = numprocs / pdims(1)
181
182	ELSEIF ( npex /= -1 .AND. npey /= -1 ) THEN
183
184	!
185	!-- Prescribed by user. Number of processors on the prescribed topology
186	!-- must be equal to the number of PEs available to the job
187	IF ( ( npex * npey ) /= numprocs ) THEN
188	WRITE( message_string, * ) 'number of PEs of the prescribed ', &
189	'topology (', npex*npey,') does not match & the number of ', &
190	'PEs available to the job (', numprocs, ')'
191	CALL message( 'init_pegrid', 'PA0221', 1, 2, 0, 6, 0 )
192	ENDIF
193	pdims(1) = npex
194	pdims(2) = npey
195
196	ELSE
197	!
198	!-- If the processor topology is prescribed by the user, the number of
199	!-- PEs must be given in both directions
200	message_string = 'if the processor topology is prescribed by th' // &
201	'e user & both values of "npex" and "npey" must be given' // &
202	' in the &NAMELIST-parameter file'
203	CALL message( 'init_pegrid', 'PA0222', 1, 2, 0, 6, 0 )
204
205	ENDIF
206
207	!
208	!-- If necessary, set horizontal boundary conditions to non-cyclic
209	IF ( bc_lr /= 'cyclic' ) cyclic(1) = .FALSE.
210	IF ( bc_ns /= 'cyclic' ) cyclic(2) = .FALSE.
211
212
213	!
214	!-- Create the virtual processor grid
215	CALL MPI_CART_CREATE( comm_palm, ndim, pdims, cyclic, reorder, &
216	comm2d, ierr )
217	CALL MPI_COMM_RANK( comm2d, myid, ierr )
218	WRITE (myid_char,'(''_'',I6.6)') myid
219
220	CALL MPI_CART_COORDS( comm2d, myid, ndim, pcoord, ierr )
221	CALL MPI_CART_SHIFT( comm2d, 0, 1, pleft, pright, ierr )
222	CALL MPI_CART_SHIFT( comm2d, 1, 1, psouth, pnorth, ierr )
223	!
224	!-- In case of cyclic boundary conditions, a y-shift at the boundaries in
225	!-- x-direction can be introduced via parameter y_shift. The shift is done
226	!-- by modifying the processor grid in such a way that processors located
227	!-- at the x-boundary communicate across it to processors with y-coordinate
228	!-- shifted by y_shift relative to their own. This feature can not be used
229	!-- in combination with an fft pressure solver. It has been implemented to
230	!-- counter the effect of streak structures in case of cyclic boundary
231	!-- conditions. For a description of these see Munters
232	!-- (2016; dx.doi.org/10.1063/1.4941912)
233	!--
234	!-- Get coordinates of left and right neighbor on PE grid
235	IF ( y_shift /= 0 ) THEN
236
237	IF ( bc_lr /= 'cyclic' .OR. bc_ns /= 'cyclic' ) THEN
238	message_string = 'y_shift /= 0 is only allowed for cyclic ' // &
239	'boundary conditions in both directions '
240	CALL message( 'check_parameters', 'PA0467', 1, 2, 0, 6, 0 )
241	ENDIF
242	IF ( TRIM( psolver ) /= 'multigrid' .AND. &
243	TRIM( psolver ) /= 'multigrid_noopt') &
244	THEN
245	message_string = 'y_shift /= 0 requires a multigrid pressure solver '
246	CALL message( 'check_parameters', 'PA0468', 1, 2, 0, 6, 0 )
247	ENDIF
248
249	CALL MPI_CART_COORDS( comm2d, pright, ndim, rcoord, ierr )
250	CALL MPI_CART_COORDS( comm2d, pleft, ndim, lcoord, ierr )
251
252	!
253	!-- If the x(y)-coordinate of the right (left) neighbor is smaller (greater)
254	!-- than that of the calling process, then the calling process is located on
255	!-- the right (left) boundary of the processor grid. In that case,
256	!-- the y-coordinate of that neighbor is increased (decreased) by y_shift.
257	!-- The rank of the process with that coordinate is then inquired and the
258	!-- neighbor rank for MPI_SENDRECV, pright (pleft) is set to it.
259	!-- In this way, the calling process receives a new right (left) neighbor
260	!-- for all future MPI_SENDRECV calls. That neighbor has a y-coordinate
261	!-- of y+(-)y_shift, where y is the original right (left) neighbor's
262	!-- y-coordinate. The modulo-operation ensures that if the neighbor's
263	!-- y-coordinate exceeds the grid-boundary, it will be relocated to
264	!-- the opposite part of the grid cyclicly.
265	IF ( rcoord(1) < pcoord(1) ) THEN
266	rcoord(2) = MODULO( rcoord(2) + y_shift, pdims(2) )
267	CALL MPI_CART_RANK( comm2d, rcoord, pright, ierr )
268	ENDIF
269
270	IF ( lcoord(1) > pcoord(1) ) THEN
271	lcoord(2) = MODULO( lcoord(2) - y_shift, pdims(2) )
272	CALL MPI_CART_RANK( comm2d, lcoord, pleft, ierr )
273	ENDIF
274	ENDIF
275	!
276	!-- Vertical nesting: store four lists that identify partner ranks to exchange
277	!-- data
278	IF ( vnested ) CALL vnest_init_pegrid_rank
279
280	!
281	!-- Determine sub-topologies for transpositions
282	!-- Transposition from z to x:
283	remain_dims(1) = .TRUE.
284	remain_dims(2) = .FALSE.
285	CALL MPI_CART_SUB( comm2d, remain_dims, comm1dx, ierr )
286	CALL MPI_COMM_RANK( comm1dx, myidx, ierr )
287	!
288	!-- Transposition from x to y
289	remain_dims(1) = .FALSE.
290	remain_dims(2) = .TRUE.
291	CALL MPI_CART_SUB( comm2d, remain_dims, comm1dy, ierr )
292	CALL MPI_COMM_RANK( comm1dy, myidy, ierr )
293
294
295	!
296	!-- Calculate array bounds along x-direction for every PE.
297	ALLOCATE( nxlf(0:pdims(1)-1), nxrf(0:pdims(1)-1), nynf(0:pdims(2)-1), &
298	nysf(0:pdims(2)-1) )
299
300	IF ( MOD( nx+1 , pdims(1) ) /= 0 ) THEN
301	WRITE( message_string, * ) 'x-direction: gridpoint number (',nx+1,') ', &
302	'is not an& integral divisor of the number ', &
303	'of processors (', pdims(1),')'
304	CALL message( 'init_pegrid', 'PA0225', 1, 2, 0, 6, 0 )
305	ELSE
306	nnx = ( nx + 1 ) / pdims(1)
307	ENDIF
308
309	!
310	!-- Left and right array bounds, number of gridpoints
311	DO i = 0, pdims(1)-1
312	nxlf(i) = i * nnx
313	nxrf(i) = ( i + 1 ) * nnx - 1
314	ENDDO
315
316	!
317	!-- Calculate array bounds in y-direction for every PE.
318	IF ( MOD( ny+1 , pdims(2) ) /= 0 ) THEN
319	WRITE( message_string, * ) 'y-direction: gridpoint number (',ny+1,') ', &
320	'is not an& integral divisor of the number of', &
321	'processors (', pdims(2),')'
322	CALL message( 'init_pegrid', 'PA0227', 1, 2, 0, 6, 0 )
323	ELSE
324	nny = ( ny + 1 ) / pdims(2)
325	ENDIF
326
327	!
328	!-- South and north array bounds
329	DO j = 0, pdims(2)-1
330	nysf(j) = j * nny
331	nynf(j) = ( j + 1 ) * nny - 1
332	ENDDO
333
334	!
335	!-- Local array bounds of the respective PEs
336	nxl = nxlf(pcoord(1))
337	nxr = nxrf(pcoord(1))
338	nys = nysf(pcoord(2))
339	nyn = nynf(pcoord(2))
340	nzb = 0
341	nzt = nz
342	nnz = nz
343
344	!
345	!-- Set switches to define if the PE is situated at the border of the virtual
346	!-- processor grid
347	IF ( nxl == 0 ) left_border_pe = .TRUE.
348	IF ( nxr == nx ) right_border_pe = .TRUE.
349	IF ( nys == 0 ) south_border_pe = .TRUE.
350	IF ( nyn == ny ) north_border_pe = .TRUE.
351
352	!
353	!-- Calculate array bounds and gridpoint numbers for the transposed arrays
354	!-- (needed in the pressure solver)
355	!-- For the transposed arrays, cyclic boundaries as well as top and bottom
356	!-- boundaries are omitted, because they are obstructive to the transposition
357
358	!
359	!-- 1. transposition z --> x
360	!-- This transposition is not neccessary in case of a 1d-decomposition along x
361	IF ( psolver == 'poisfft' .OR. calculate_spectra ) THEN
362
363	IF ( pdims(2) /= 1 ) THEN
364	IF ( MOD( nz , pdims(1) ) /= 0 ) THEN
365	WRITE( message_string, * ) 'transposition z --> x:', &
366	'& nz=',nz,' is not an integral divisior of pdims(1)=', &
367	pdims(1)
368	CALL message( 'init_pegrid', 'PA0230', 1, 2, 0, 6, 0 )
369	ENDIF
370	ENDIF
371
372	nys_x = nys
373	nyn_x = nyn
374	nny_x = nny
375	nnz_x = nz / pdims(1)
376	nzb_x = 1 + myidx * nnz_x
377	nzt_x = ( myidx + 1 ) * nnz_x
378	sendrecvcount_zx = nnx * nny * nnz_x
379
380	ENDIF
381
382
383	IF ( psolver == 'poisfft' ) THEN
384	!
385	!-- 2. transposition x --> y
386	IF ( MOD( nx+1 , pdims(2) ) /= 0 ) THEN
387	WRITE( message_string, * ) 'transposition x --> y:', &
388	'& nx+1=',nx+1,' is not an integral divisor of ', &
389	'pdims(2)=',pdims(2)
390	CALL message( 'init_pegrid', 'PA0231', 1, 2, 0, 6, 0 )
391	ENDIF
392
393	nnz_y = nnz_x
394	nzb_y = nzb_x
395	nzt_y = nzt_x
396	nnx_y = (nx+1) / pdims(2)
397	nxl_y = myidy * nnx_y
398	nxr_y = ( myidy + 1 ) * nnx_y - 1
399	sendrecvcount_xy = nnx_y * nny_x * nnz_y
400	!
401	!-- 3. transposition y --> z
402	!-- (ELSE: x --> y in case of 1D-decomposition along x)
403	nxl_z = nxl_y
404	nxr_z = nxr_y
405	nny_z = (ny+1) / pdims(1)
406	nys_z = myidx * nny_z
407	nyn_z = ( myidx + 1 ) * nny_z - 1
408	sendrecvcount_yz = nnx_y * nny_z * nnz_y
409
410	IF ( pdims(2) /= 1 ) THEN
411	!
412	!-- y --> z
413	!-- This transposition is not neccessary in case of a 1d-decomposition
414	!-- along x, except that the uptream-spline method is switched on
415	IF ( MOD( ny+1 , pdims(1) ) /= 0 ) THEN
416	WRITE( message_string, * ) 'transposition y --> z:', &
417	'& ny+1=',ny+1,' is not an integral divisor of',&
418	' pdims(1)=',pdims(1)
419	CALL message( 'init_pegrid', 'PA0232', 1, 2, 0, 6, 0 )
420	ENDIF
421
422	ELSE
423	!
424	!-- x --> y
425	!-- This condition must be fulfilled for a 1D-decomposition along x
426	IF ( MOD( ny+1 , pdims(1) ) /= 0 ) THEN
427	WRITE( message_string, * ) 'transposition x --> y:', &
428	'& ny+1=',ny+1,' is not an integral divisor of',&
429	' pdims(1)=',pdims(1)
430	CALL message( 'init_pegrid', 'PA0233', 1, 2, 0, 6, 0 )
431	ENDIF
432
433	ENDIF
434
435	ENDIF
436
437	!
438	!-- Indices for direct transpositions z --> y (used for calculating spectra)
439	IF ( calculate_spectra ) THEN
440	IF ( MOD( nz, pdims(2) ) /= 0 ) THEN
441	WRITE( message_string, * ) 'direct transposition z --> y (needed ', &
442	'for spectra): nz=',nz,' is not an integral divisor of ', &
443	'pdims(2)=',pdims(2)
444	CALL message( 'init_pegrid', 'PA0234', 1, 2, 0, 6, 0 )
445	ELSE
446	nxl_yd = nxl
447	nxr_yd = nxr
448	nzb_yd = 1 + myidy * ( nz / pdims(2) )
449	nzt_yd = ( myidy + 1 ) * ( nz / pdims(2) )
450	sendrecvcount_zyd = nnx * nny * ( nz / pdims(2) )
451	ENDIF
452	ENDIF
453
454	IF ( psolver == 'poisfft' .OR. calculate_spectra ) THEN
455	!
456	!-- Indices for direct transpositions y --> x
457	!-- (they are only possible in case of a 1d-decomposition along x)
458	IF ( pdims(2) == 1 ) THEN
459	nny_x = nny / pdims(1)
460	nys_x = myid * nny_x
461	nyn_x = ( myid + 1 ) * nny_x - 1
462	nzb_x = 1
463	nzt_x = nz
464	sendrecvcount_xy = nnx * nny_x * nz
465	ENDIF
466
467	ENDIF
468
469	IF ( psolver == 'poisfft' ) THEN
470	!
471	!-- Indices for direct transpositions x --> y
472	!-- (they are only possible in case of a 1d-decomposition along y)
473	IF ( pdims(1) == 1 ) THEN
474	nnx_y = nnx / pdims(2)
475	nxl_y = myid * nnx_y
476	nxr_y = ( myid + 1 ) * nnx_y - 1
477	nzb_y = 1
478	nzt_y = nz
479	sendrecvcount_xy = nnx_y * nny * nz
480	ENDIF
481
482	ENDIF
483
484	!
485	!-- Arrays for storing the array bounds are needed any more
486	DEALLOCATE( nxlf , nxrf , nynf , nysf )
487
488
489	!
490	!-- Collect index bounds from other PEs (to be written to restart file later)
491	ALLOCATE( hor_index_bounds(4,0:numprocs-1) )
492
493	IF ( myid == 0 ) THEN
494
495	hor_index_bounds(1,0) = nxl
496	hor_index_bounds(2,0) = nxr
497	hor_index_bounds(3,0) = nys
498	hor_index_bounds(4,0) = nyn
499
500	!
501	!-- Receive data from all other PEs
502	DO i = 1, numprocs-1
503	CALL MPI_RECV( ibuf, 4, MPI_INTEGER, i, MPI_ANY_TAG, comm2d, status, &
504	ierr )
505	hor_index_bounds(:,i) = ibuf(1:4)
506	ENDDO
507
508	ELSE
509	!
510	!-- Send index bounds to PE0
511	ibuf(1) = nxl
512	ibuf(2) = nxr
513	ibuf(3) = nys
514	ibuf(4) = nyn
515	CALL MPI_SEND( ibuf, 4, MPI_INTEGER, 0, myid, comm2d, ierr )
516
517	ENDIF
518
519
520	#if defined( __print )
521	!
522	!-- Control output
523	IF ( myid == 0 ) THEN
524	PRINT, ' processor topology *'
525	PRINT*, ' '
526	PRINT*, 'myid pcoord left right south north idx idy nxl: nxr',&
527	&' nys: nyn'
528	PRINT*, '------------------------------------------------------------',&
529	&'-----------'
530	WRITE (*,1000) 0, pcoord(1), pcoord(2), pleft, pright, psouth, pnorth, &
531	myidx, myidy, nxl, nxr, nys, nyn
532	1000 FORMAT (I4,2X,'(',I3,',',I3,')',3X,I4,2X,I4,3X,I4,2X,I4,2X,I3,1X,I3, &
533	2(2X,I4,':',I4))
534
535	!
536	!-- Receive data from the other PEs
537	DO i = 1,numprocs-1
538	CALL MPI_RECV( ibuf, 12, MPI_INTEGER, i, MPI_ANY_TAG, comm2d, status, &
539	ierr )
540	WRITE (*,1000) i, ( ibuf(j) , j = 1,12 )
541	ENDDO
542	ELSE
543
544	!
545	!-- Send data to PE0
546	ibuf(1) = pcoord(1); ibuf(2) = pcoord(2); ibuf(3) = pleft
547	ibuf(4) = pright; ibuf(5) = psouth; ibuf(6) = pnorth; ibuf(7) = myidx
548	ibuf(8) = myidy; ibuf(9) = nxl; ibuf(10) = nxr; ibuf(11) = nys
549	ibuf(12) = nyn
550	CALL MPI_SEND( ibuf, 12, MPI_INTEGER, 0, myid, comm2d, ierr )
551	ENDIF
552	#endif
553
554	!
555	!-- Determine the number of ghost point layers
556	IF ( scalar_advec == 'ws-scheme' .OR. &
557	momentum_advec == 'ws-scheme' .OR. nested_run ) THEN
558	nbgp = 3
559	ELSE
560	nbgp = 1
561	ENDIF
562
563	!
564	!-- Check that the number of computational grid points is not smaller than the number of
565	!-- ghost points.
566	IF ( nnx < nbgp ) THEN
567	WRITE( message_string, * ) 'number of subdomain grid points along x (', nnx, ') is smaller',&
568	'than the number of ghost points (', nbgp, ')'
569	CALL message( 'init_pegrid', 'PA0682', 1, 2, 0, 6, 0 )
570	ENDIF
571	IF ( nny < nbgp ) THEN
572	WRITE( message_string, * ) 'number of subdomain grid points along y (', nny, ') is smaller',&
573	'than the number of ghost points (', nbgp, ')'
574	CALL message( 'init_pegrid', 'PA0683', 1, 2, 0, 6, 0 )
575	ENDIF
576
577	!
578	!-- Create a new MPI derived datatype for the exchange of surface (xy) data,
579	!-- which is needed for coupled atmosphere-ocean runs.
580	!-- First, calculate number of grid points of an xy-plane.
581	ngp_xy = ( nxr - nxl + 1 + 2 * nbgp ) * ( nyn - nys + 1 + 2 * nbgp )
582	CALL MPI_TYPE_VECTOR( ngp_xy, 1, nzt-nzb+2, MPI_REAL, type_xy, ierr )
583	CALL MPI_TYPE_COMMIT( type_xy, ierr )
584
585	IF ( TRIM( coupling_mode ) /= 'uncoupled' .AND. .NOT. vnested ) THEN
586
587	!
588	!-- Pass the number of grid points of the atmosphere model to
589	!-- the ocean model and vice versa
590	IF ( coupling_mode == 'atmosphere_to_ocean' ) THEN
591
592	nx_a = nx
593	ny_a = ny
594
595	IF ( myid == 0 ) THEN
596
597	CALL MPI_SEND( nx_a, 1, MPI_INTEGER, numprocs, 1, comm_inter, &
598	ierr )
599	CALL MPI_SEND( ny_a, 1, MPI_INTEGER, numprocs, 2, comm_inter, &
600	ierr )
601	CALL MPI_SEND( pdims, 2, MPI_INTEGER, numprocs, 3, comm_inter, &
602	ierr )
603	CALL MPI_RECV( nx_o, 1, MPI_INTEGER, numprocs, 4, comm_inter, &
604	status, ierr )
605	CALL MPI_RECV( ny_o, 1, MPI_INTEGER, numprocs, 5, comm_inter, &
606	status, ierr )
607	CALL MPI_RECV( pdims_remote, 2, MPI_INTEGER, numprocs, 6, &
608	comm_inter, status, ierr )
609	ENDIF
610
611	CALL MPI_BCAST( nx_o, 1, MPI_INTEGER, 0, comm2d, ierr )
612	CALL MPI_BCAST( ny_o, 1, MPI_INTEGER, 0, comm2d, ierr )
613	CALL MPI_BCAST( pdims_remote, 2, MPI_INTEGER, 0, comm2d, ierr )
614
615	ELSEIF ( coupling_mode == 'ocean_to_atmosphere' ) THEN
616
617	nx_o = nx
618	ny_o = ny
619
620	IF ( myid == 0 ) THEN
621
622	CALL MPI_RECV( nx_a, 1, MPI_INTEGER, 0, 1, comm_inter, status, &
623	ierr )
624	CALL MPI_RECV( ny_a, 1, MPI_INTEGER, 0, 2, comm_inter, status, &
625	ierr )
626	CALL MPI_RECV( pdims_remote, 2, MPI_INTEGER, 0, 3, comm_inter, &
627	status, ierr )
628	CALL MPI_SEND( nx_o, 1, MPI_INTEGER, 0, 4, comm_inter, ierr )
629	CALL MPI_SEND( ny_o, 1, MPI_INTEGER, 0, 5, comm_inter, ierr )
630	CALL MPI_SEND( pdims, 2, MPI_INTEGER, 0, 6, comm_inter, ierr )
631	ENDIF
632
633	CALL MPI_BCAST( nx_a, 1, MPI_INTEGER, 0, comm2d, ierr)
634	CALL MPI_BCAST( ny_a, 1, MPI_INTEGER, 0, comm2d, ierr)
635	CALL MPI_BCAST( pdims_remote, 2, MPI_INTEGER, 0, comm2d, ierr)
636
637	ENDIF
638
639	ngp_a = ( nx_a+1 + 2 * nbgp ) * ( ny_a+1 + 2 * nbgp )
640	ngp_o = ( nx_o+1 + 2 * nbgp ) * ( ny_o+1 + 2 * nbgp )
641
642	!
643	!-- Determine if the horizontal grid and the number of PEs in ocean and
644	!-- atmosphere is same or not
645	IF ( nx_o == nx_a .AND. ny_o == ny_a .AND. &
646	pdims(1) == pdims_remote(1) .AND. pdims(2) == pdims_remote(2) ) &
647	THEN
648	coupling_topology = 0
649	ELSE
650	coupling_topology = 1
651	ENDIF
652
653	!
654	!-- Determine the target PEs for the exchange between ocean and
655	!-- atmosphere (comm2d)
656	IF ( coupling_topology == 0 ) THEN
657	!
658	!-- In case of identical topologies, every atmosphere PE has exactly one
659	!-- ocean PE counterpart and vice versa
660	IF ( TRIM( coupling_mode ) == 'atmosphere_to_ocean' ) THEN
661	target_id = myid + numprocs
662	ELSE
663	target_id = myid
664	ENDIF
665
666	ELSE
667	!
668	!-- In case of nonequivalent topology in ocean and atmosphere only for
669	!-- PE0 in ocean and PE0 in atmosphere a target_id is needed, since
670	!-- data echxchange between ocean and atmosphere will be done only
671	!-- between these PEs.
672	IF ( myid == 0 ) THEN
673
674	IF ( TRIM( coupling_mode ) == 'atmosphere_to_ocean' ) THEN
675	target_id = numprocs
676	ELSE
677	target_id = 0
678	ENDIF
679
680	ENDIF
681
682	ENDIF
683
684	ENDIF
685
686	!
687	!-- Store partner grid point co-ordinates as lists.
688	!-- Create custom MPI vector datatypes for contiguous data transfer
689	IF ( vnested ) CALL vnest_init_pegrid_domain
690
691	#else
692
693	!
694	!-- Array bounds when running on a single PE (respectively a non-parallel
695	!-- machine)
696	nxl = 0
697	nxr = nx
698	nnx = nxr - nxl + 1
699	nys = 0
700	nyn = ny
701	nny = nyn - nys + 1
702	nzb = 0
703	nzt = nz
704	nnz = nz
705
706	ALLOCATE( hor_index_bounds(4,0:0) )
707	hor_index_bounds(1,0) = nxl
708	hor_index_bounds(2,0) = nxr
709	hor_index_bounds(3,0) = nys
710	hor_index_bounds(4,0) = nyn
711
712	!
713	!-- Array bounds for the pressure solver (in the parallel code, these bounds
714	!-- are the ones for the transposed arrays)
715	nys_x = nys
716	nyn_x = nyn
717	nzb_x = nzb + 1
718	nzt_x = nzt
719
720	nxl_y = nxl
721	nxr_y = nxr
722	nzb_y = nzb + 1
723	nzt_y = nzt
724
725	nxl_z = nxl
726	nxr_z = nxr
727	nys_z = nys
728	nyn_z = nyn
729
730	#endif
731
732	!
733	!-- Calculate number of grid levels necessary for the multigrid poisson solver
734	!-- as well as the gridpoint indices on each level
735	IF ( psolver(1:9) == 'multigrid' ) THEN
736
737	!
738	!-- First calculate number of possible grid levels for the subdomains
739	mg_levels_x = 1
740	mg_levels_y = 1
741	mg_levels_z = 1
742
743	i = nnx
744	DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 )
745	i = i / 2
746	mg_levels_x = mg_levels_x + 1
747	ENDDO
748
749	j = nny
750	DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 )
751	j = j / 2
752	mg_levels_y = mg_levels_y + 1
753	ENDDO
754
755	k = nz ! do not use nnz because it might be > nz due to transposition
756	! requirements
757	DO WHILE ( MOD( k, 2 ) == 0 .AND. k /= 2 )
758	k = k / 2
759	mg_levels_z = mg_levels_z + 1
760	ENDDO
761	!
762	!-- The optimized MG-solver does not allow odd values for nz at the coarsest
763	!-- grid level
764	IF ( TRIM( psolver ) /= 'multigrid_noopt' ) THEN
765	IF ( MOD( k, 2 ) /= 0 ) mg_levels_z = mg_levels_z - 1
766	!
767	!-- An odd value of nz does not work. The finest level must have an even
768	!-- value.
769	IF ( mg_levels_z == 0 ) THEN
770	message_string = 'optimized multigrid method requires nz to be even'
771	CALL message( 'init_pegrid', 'PA0495', 1, 2, 0, 6, 0 )
772	ENDIF
773	ENDIF
774
775	maximum_grid_level = MIN( mg_levels_x, mg_levels_y, mg_levels_z )
776	!
777	!-- Check if subdomain sizes prevents any coarsening.
778	!-- This case, the maximum number of grid levels is 1, i.e. effectively
779	!-- a Gauss-Seidel scheme is applied rather than a multigrid approach.
780	!-- Give a warning in this case.
781	IF ( maximum_grid_level == 1 .AND. mg_switch_to_pe0_level == -1 ) THEN
782	message_string = 'No grid coarsening possible, multigrid ' // &
783	'approach effectively reduces to a Gauss-Seidel ' //&
784	'scheme.'
785
786	CALL message( 'poismg', 'PA0648', 0, 1, 0, 6, 0 )
787	ENDIF
788
789	!
790	!-- Find out, if the total domain allows more levels. These additional
791	!-- levels are identically processed on all PEs.
792	IF ( numprocs > 1 .AND. mg_switch_to_pe0_level /= -1 ) THEN
793
794	IF ( mg_levels_z > MIN( mg_levels_x, mg_levels_y ) ) THEN
795
796	mg_switch_to_pe0_level_l = maximum_grid_level
797
798	mg_levels_x = 1
799	mg_levels_y = 1
800
801	i = nx+1
802	DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 )
803	i = i / 2
804	mg_levels_x = mg_levels_x + 1
805	ENDDO
806
807	j = ny+1
808	DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 )
809	j = j / 2
810	mg_levels_y = mg_levels_y + 1
811	ENDDO
812
813	maximum_grid_level_l = MIN( mg_levels_x, mg_levels_y, mg_levels_z )
814
815	IF ( maximum_grid_level_l > mg_switch_to_pe0_level_l ) THEN
816	mg_switch_to_pe0_level_l = maximum_grid_level_l - &
817	mg_switch_to_pe0_level_l + 1
818	ELSE
819	mg_switch_to_pe0_level_l = 0
820	ENDIF
821
822	ELSE
823
824	mg_switch_to_pe0_level_l = 0
825	maximum_grid_level_l = maximum_grid_level
826
827	ENDIF
828
829	!
830	!-- Use switch level calculated above only if it is not pre-defined
831	!-- by user
832	IF ( mg_switch_to_pe0_level == 0 ) THEN
833	IF ( mg_switch_to_pe0_level_l /= 0 ) THEN
834	mg_switch_to_pe0_level = mg_switch_to_pe0_level_l
835	maximum_grid_level = maximum_grid_level_l
836	ENDIF
837
838	ELSE
839	!
840	!-- Check pre-defined value and reset to default, if neccessary
841	IF ( mg_switch_to_pe0_level < mg_switch_to_pe0_level_l .OR. &
842	mg_switch_to_pe0_level >= maximum_grid_level_l ) THEN
843	message_string = 'mg_switch_to_pe0_level ' // &
844	'out of range and reset to 0'
845	CALL message( 'init_pegrid', 'PA0235', 0, 1, 0, 6, 0 )
846	mg_switch_to_pe0_level = 0
847	ELSE
848	!
849	!-- Use the largest number of possible levels anyway and recalculate
850	!-- the switch level to this largest number of possible values
851	maximum_grid_level = maximum_grid_level_l
852
853	ENDIF
854
855	ENDIF
856
857	ENDIF
858
859	ALLOCATE( grid_level_count(maximum_grid_level), &
860	nxl_mg(0:maximum_grid_level), nxr_mg(0:maximum_grid_level), &
861	nyn_mg(0:maximum_grid_level), nys_mg(0:maximum_grid_level), &
862	nzt_mg(0:maximum_grid_level) )
863
864	grid_level_count = 0
865	!
866	!-- Index zero required as dummy due to definition of arrays f2 and p2 in
867	!-- recursive subroutine next_mg_level
868	nxl_mg(0) = 0; nxr_mg(0) = 0; nyn_mg(0) = 0; nys_mg(0) = 0; nzt_mg(0) = 0
869
870	nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzt_l = nzt
871
872	DO i = maximum_grid_level, 1 , -1
873
874	IF ( i == mg_switch_to_pe0_level ) THEN
875	#if defined( __parallel )
876	!
877	!-- Save the grid size of the subdomain at the switch level, because
878	!-- it is needed in poismg.
879	ind(1) = nxl_l; ind(2) = nxr_l
880	ind(3) = nys_l; ind(4) = nyn_l
881	ind(5) = nzt_l
882	ALLOCATE( ind_all(5*numprocs), mg_loc_ind(5,0:numprocs-1) )
883	CALL MPI_ALLGATHER( ind, 5, MPI_INTEGER, ind_all, 5, &
884	MPI_INTEGER, comm2d, ierr )
885	DO j = 0, numprocs-1
886	DO k = 1, 5
887	mg_loc_ind(k,j) = ind_all(k+j*5)
888	ENDDO
889	ENDDO
890	DEALLOCATE( ind_all )
891	!
892	!-- Calculate the grid size of the total domain
893	nxr_l = ( nxr_l-nxl_l+1 ) * pdims(1) - 1
894	nxl_l = 0
895	nyn_l = ( nyn_l-nys_l+1 ) * pdims(2) - 1
896	nys_l = 0
897	!
898	!-- The size of this gathered array must not be larger than the
899	!-- array tend, which is used in the multigrid scheme as a temporary
900	!-- array. Therefore the subdomain size of an PE is calculated and
901	!-- the size of the gathered grid. These values are used in
902	!-- routines pres and poismg
903	subdomain_size = ( nxr - nxl + 2 * nbgp + 1 ) * &
904	( nyn - nys + 2 * nbgp + 1 ) * ( nzt - nzb + 2 )
905	gathered_size = ( nxr_l - nxl_l + 3 ) * ( nyn_l - nys_l + 3 ) * &
906	( nzt_l - nzb + 2 )
907
908	#else
909	message_string = 'multigrid gather/scatter impossible ' // &
910	'in non parallel mode'
911	CALL message( 'init_pegrid', 'PA0237', 1, 2, 0, 6, 0 )
912	#endif
913	ENDIF
914
915	nxl_mg(i) = nxl_l
916	nxr_mg(i) = nxr_l
917	nys_mg(i) = nys_l
918	nyn_mg(i) = nyn_l
919	nzt_mg(i) = nzt_l
920
921	nxl_l = nxl_l / 2
922	nxr_l = nxr_l / 2
923	nys_l = nys_l / 2
924	nyn_l = nyn_l / 2
925	nzt_l = nzt_l / 2
926
927	ENDDO
928
929	!
930	!-- Temporary problem: Currently calculation of maxerror in routine poismg crashes
931	!-- if grid data are collected on PE0 already on the finest grid level.
932	!-- To be solved later.
933	IF ( maximum_grid_level == mg_switch_to_pe0_level ) THEN
934	message_string = 'grid coarsening on subdomain level cannot be performed'
935	CALL message( 'poismg', 'PA0236', 1, 2, 0, 6, 0 )
936	ENDIF
937
938	ELSE
939
940	maximum_grid_level = 0
941
942	ENDIF
943
944	!
945	!-- Default level 0 tells exchange_horiz that all ghost planes have to be
946	!-- exchanged. grid_level is adjusted in poismg, where only one ghost plane
947	!-- is required.
948	grid_level = 0
949
950	#if defined( __parallel )
951	!
952	!-- Gridpoint number for the exchange of ghost points (y-line for 2D-arrays)
953	ngp_y = nyn - nys + 1 + 2 * nbgp
954
955	!
956	!-- Define new MPI derived datatypes for the exchange of ghost points in
957	!-- x- and y-direction for 2D-arrays (line)
958	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_REAL, type_x, &
959	ierr )
960	CALL MPI_TYPE_COMMIT( type_x, ierr )
961
962	CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_REAL, type_y, ierr )
963	CALL MPI_TYPE_COMMIT( type_y, ierr )
964	!
965	!-- Define new MPI derived datatypes for the exchange of ghost points in
966	!-- x- and y-direction for 2D-INTEGER arrays (line) - on normal grid.
967	!-- Define types for 32-bit and 8-bit Integer. The 8-bit Integer are only
968	!-- required on normal grid, while 32-bit Integer may be also required on
969	!-- coarser grid level in case of multigrid solver.
970	!
971	!-- 8-bit Integer
972	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_BYTE, &
973	type_x_byte, ierr )
974	CALL MPI_TYPE_COMMIT( type_x_byte, ierr )
975
976	CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_BYTE, &
977	type_y_byte, ierr )
978	CALL MPI_TYPE_COMMIT( type_y_byte, ierr )
979	!
980	!-- 32-bit Integer
981	ALLOCATE( type_x_int(0:maximum_grid_level), &
982	type_y_int(0:maximum_grid_level) )
983
984	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_INTEGER, &
985	type_x_int(0), ierr )
986	CALL MPI_TYPE_COMMIT( type_x_int(0), ierr )
987
988	CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_INTEGER, type_y_int(0), ierr )
989	CALL MPI_TYPE_COMMIT( type_y_int(0), ierr )
990	!
991	!-- Calculate gridpoint numbers for the exchange of ghost points along x
992	!-- (yz-plane for 3D-arrays) and define MPI derived data type(s) for the
993	!-- exchange of ghost points in y-direction (xz-plane).
994	!-- Do these calculations for the model grid and (if necessary) also
995	!-- for the coarser grid levels used in the multigrid method
996	ALLOCATE ( ngp_xz(0:maximum_grid_level), &
997	ngp_xz_int(0:maximum_grid_level), &
998	ngp_yz(0:maximum_grid_level), &
999	ngp_yz_int(0:maximum_grid_level), &
1000	type_xz(0:maximum_grid_level), &
1001	type_xz_int(0:maximum_grid_level), &
1002	type_yz(0:maximum_grid_level), &
1003	type_yz_int(0:maximum_grid_level) )
1004
1005	nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzb_l = nzb; nzt_l = nzt
1006
1007	!
1008	!-- Discern between the model grid, which needs nbgp ghost points and
1009	!-- grid levels for the multigrid scheme. In the latter case only one
1010	!-- ghost point is necessary.
1011	!-- First definition of MPI-datatypes for exchange of ghost layers on normal
1012	!-- grid. The following loop is needed for data exchange in poismg.f90.
1013	!
1014	!-- Determine number of grid points of yz-layer for exchange
1015	ngp_yz(0) = (nzt - nzb + 2) * (nyn - nys + 1 + 2 * nbgp)
1016
1017	!
1018	!-- Define an MPI-datatype for the exchange of left/right boundaries.
1019	!-- Although data are contiguous in physical memory (which does not
1020	!-- necessarily require an MPI-derived datatype), the data exchange between
1021	!-- left and right PE's using the MPI-derived type is 10% faster than without.
1022	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2nbgp, nbgp(nzt-nzb+2), ngp_yz(0), &
1023	MPI_REAL, type_xz(0), ierr )
1024	CALL MPI_TYPE_COMMIT( type_xz(0), ierr )
1025
1026	CALL MPI_TYPE_VECTOR( nbgp, ngp_yz(0), ngp_yz(0), MPI_REAL, type_yz(0), &
1027	ierr )
1028	CALL MPI_TYPE_COMMIT( type_yz(0), ierr )
1029
1030	!
1031	!-- Define data types for exchange of 3D Integer arrays.
1032	ngp_yz_int(0) = (nzt - nzb + 2) * (nyn - nys + 1 + 2 * nbgp)
1033
1034	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2nbgp, nbgp(nzt-nzb+2), ngp_yz_int(0), &
1035	MPI_INTEGER, type_xz_int(0), ierr )
1036	CALL MPI_TYPE_COMMIT( type_xz_int(0), ierr )
1037
1038	CALL MPI_TYPE_VECTOR( nbgp, ngp_yz_int(0), ngp_yz_int(0), MPI_INTEGER, &
1039	type_yz_int(0), ierr )
1040	CALL MPI_TYPE_COMMIT( type_yz_int(0), ierr )
1041
1042	!
1043	!-- Definition of MPI-datatypes for multigrid method (coarser level grids)
1044	IF ( psolver(1:9) == 'multigrid' ) THEN
1045	!
1046	!-- Definition of MPI-datatyoe as above, but only 1 ghost level is used
1047	DO i = maximum_grid_level, 1 , -1
1048	!
1049	!-- For 3D-exchange on different multigrid level, one ghost point for
1050	!-- REAL arrays, two ghost points for INTEGER arrays
1051	ngp_xz(i) = (nzt_l - nzb_l + 2) * (nxr_l - nxl_l + 3)
1052	ngp_yz(i) = (nzt_l - nzb_l + 2) * (nyn_l - nys_l + 3)
1053
1054	ngp_xz_int(i) = (nzt_l - nzb_l + 2) * (nxr_l - nxl_l + 3)
1055	ngp_yz_int(i) = (nzt_l - nzb_l + 2) * (nyn_l - nys_l + 3)
1056	!
1057	!-- MPI data type for REAL arrays, for xz-layers
1058	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+3, nzt_l-nzb_l+2, ngp_yz(i), &
1059	MPI_REAL, type_xz(i), ierr )
1060	CALL MPI_TYPE_COMMIT( type_xz(i), ierr )
1061
1062	!
1063	!-- MPI data type for INTEGER arrays, for xz-layers
1064	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+3, nzt_l-nzb_l+2, ngp_yz_int(i), &
1065	MPI_INTEGER, type_xz_int(i), ierr )
1066	CALL MPI_TYPE_COMMIT( type_xz_int(i), ierr )
1067
1068	!
1069	!-- MPI data type for REAL arrays, for yz-layers
1070	CALL MPI_TYPE_VECTOR( 1, ngp_yz(i), ngp_yz(i), MPI_REAL, type_yz(i), &
1071	ierr )
1072	CALL MPI_TYPE_COMMIT( type_yz(i), ierr )
1073	!
1074	!-- MPI data type for INTEGER arrays, for yz-layers
1075	CALL MPI_TYPE_VECTOR( 1, ngp_yz_int(i), ngp_yz_int(i), MPI_INTEGER, &
1076	type_yz_int(i), ierr )
1077	CALL MPI_TYPE_COMMIT( type_yz_int(i), ierr )
1078
1079
1080	!-- For 2D-exchange of INTEGER arrays on coarser grid level, where 2 ghost
1081	!-- points need to be exchanged. Only required for 32-bit Integer arrays.
1082	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+5, 2, nyn_l-nys_l+5, MPI_INTEGER, &
1083	type_x_int(i), ierr )
1084	CALL MPI_TYPE_COMMIT( type_x_int(i), ierr )
1085
1086
1087	CALL MPI_TYPE_VECTOR( 2, nyn_l-nys_l+5, nyn_l-nys_l+5, MPI_INTEGER, &
1088	type_y_int(i), ierr )
1089	CALL MPI_TYPE_COMMIT( type_y_int(i), ierr )
1090
1091	nxl_l = nxl_l / 2
1092	nxr_l = nxr_l / 2
1093	nys_l = nys_l / 2
1094	nyn_l = nyn_l / 2
1095	nzt_l = nzt_l / 2
1096
1097	ENDDO
1098
1099	ENDIF
1100
1101	#endif
1102
1103	#if defined( __parallel )
1104	!
1105	!-- Setting of flags for inflow/outflow/nesting conditions.
1106	IF ( pleft == MPI_PROC_NULL ) THEN
1107	IF ( bc_lr == 'dirichlet/radiation' .OR. bc_lr == 'nested' .OR. &
1108	bc_lr == 'nesting_offline' ) THEN
1109	bc_dirichlet_l = .TRUE.
1110	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
1111	bc_radiation_l = .TRUE.
1112	ENDIF
1113	ENDIF
1114
1115	IF ( pright == MPI_PROC_NULL ) THEN
1116	IF ( bc_lr == 'dirichlet/radiation' ) THEN
1117	bc_radiation_r = .TRUE.
1118	ELSEIF ( bc_lr == 'radiation/dirichlet' .OR. bc_lr == 'nested' .OR. &
1119	bc_lr == 'nesting_offline' ) THEN
1120	bc_dirichlet_r = .TRUE.
1121	ENDIF
1122	ENDIF
1123
1124	IF ( psouth == MPI_PROC_NULL ) THEN
1125	IF ( bc_ns == 'dirichlet/radiation' ) THEN
1126	bc_radiation_s = .TRUE.
1127	ELSEIF ( bc_ns == 'radiation/dirichlet' .OR. bc_ns == 'nested' .OR. &
1128	bc_ns == 'nesting_offline' ) THEN
1129	bc_dirichlet_s = .TRUE.
1130	ENDIF
1131	ENDIF
1132
1133	IF ( pnorth == MPI_PROC_NULL ) THEN
1134	IF ( bc_ns == 'dirichlet/radiation' .OR. bc_ns == 'nested' .OR. &
1135	bc_ns == 'nesting_offline' ) THEN
1136	bc_dirichlet_n = .TRUE.
1137	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
1138	bc_radiation_n = .TRUE.
1139	ENDIF
1140	ENDIF
1141	!
1142	!-- In case of synthetic turbulence geneartor determine ids.
1143	!-- Please note, if no forcing or nesting is applied, the generator is applied
1144	!-- only at the left lateral boundary.
1145	IF ( use_syn_turb_gen ) THEN
1146	IF ( bc_dirichlet_l ) THEN
1147	id_stg_left_l = myidx
1148	ELSE
1149	id_stg_left_l = 0
1150	ENDIF
1151	IF ( bc_dirichlet_r ) THEN
1152	id_stg_right_l = myidx
1153	ELSE
1154	id_stg_right_l = 0
1155	ENDIF
1156	IF ( bc_dirichlet_s ) THEN
1157	id_stg_south_l = myidy
1158	ELSE
1159	id_stg_south_l = 0
1160	ENDIF
1161	IF ( bc_dirichlet_n ) THEN
1162	id_stg_north_l = myidy
1163	ELSE
1164	id_stg_north_l = 0
1165	ENDIF
1166
1167	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1168	CALL MPI_ALLREDUCE( id_stg_left_l, id_stg_left, 1, MPI_INTEGER, &
1169	MPI_SUM, comm1dx, ierr )
1170
1171	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1172	CALL MPI_ALLREDUCE( id_stg_right_l, id_stg_right, 1, MPI_INTEGER, &
1173	MPI_SUM, comm1dx, ierr )
1174
1175	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1176	CALL MPI_ALLREDUCE( id_stg_south_l, id_stg_south, 1, MPI_INTEGER, &
1177	MPI_SUM, comm1dy, ierr )
1178
1179	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1180	CALL MPI_ALLREDUCE( id_stg_north_l, id_stg_north, 1, MPI_INTEGER, &
1181	MPI_SUM, comm1dy, ierr )
1182
1183	ENDIF
1184
1185	!
1186	!-- Broadcast the id of the inflow PE
1187	IF ( bc_dirichlet_l ) THEN
1188	id_inflow_l = myidx
1189	ELSE
1190	id_inflow_l = 0
1191	ENDIF
1192	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1193	CALL MPI_ALLREDUCE( id_inflow_l, id_inflow, 1, MPI_INTEGER, MPI_SUM, &
1194	comm1dx, ierr )
1195
1196	!
1197	!-- Broadcast the id of the recycling plane
1198	!-- WARNING: needs to be adjusted in case of inflows other than from left side!
1199	IF ( turbulent_inflow ) THEN
1200
1201	IF ( NINT( recycling_width / dx, KIND=idp ) >= nxl .AND. &
1202	NINT( recycling_width / dx, KIND=idp ) <= nxr ) THEN
1203	id_recycling_l = myidx
1204	ELSE
1205	id_recycling_l = 0
1206	ENDIF
1207	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1208	CALL MPI_ALLREDUCE( id_recycling_l, id_recycling, 1, MPI_INTEGER, MPI_SUM, &
1209	comm1dx, ierr )
1210
1211	ENDIF
1212
1213	!
1214	!-- Broadcast the id of the outflow PE and outflow-source plane
1215	IF ( turbulent_outflow ) THEN
1216
1217	IF ( bc_radiation_r ) THEN
1218	id_outflow_l = myidx
1219	ELSE
1220	id_outflow_l = 0
1221	ENDIF
1222	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1223	CALL MPI_ALLREDUCE( id_outflow_l, id_outflow, 1, MPI_INTEGER, MPI_SUM, &
1224	comm1dx, ierr )
1225
1226	IF ( NINT( outflow_source_plane / dx ) >= nxl .AND. &
1227	NINT( outflow_source_plane / dx ) <= nxr ) THEN
1228	id_outflow_source_l = myidx
1229	ELSE
1230	id_outflow_source_l = 0
1231	ENDIF
1232	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1233	CALL MPI_ALLREDUCE( id_outflow_source_l, id_outflow_source, 1, &
1234	MPI_INTEGER, MPI_SUM, comm1dx, ierr )
1235
1236	ENDIF
1237
1238	CALL location_message( 'creating virtual PE grids + MPI derived data types', 'finished' )
1239
1240	#else
1241	IF ( bc_lr == 'dirichlet/radiation' ) THEN
1242	bc_dirichlet_l = .TRUE.
1243	bc_radiation_r = .TRUE.
1244	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
1245	bc_radiation_l = .TRUE.
1246	bc_dirichlet_r = .TRUE.
1247	ENDIF
1248
1249	IF ( bc_ns == 'dirichlet/radiation' ) THEN
1250	bc_dirichlet_n = .TRUE.
1251	bc_radiation_s = .TRUE.
1252	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
1253	bc_radiation_n = .TRUE.
1254	bc_dirichlet_s = .TRUE.
1255	ENDIF
1256	#endif
1257
1258	!
1259	!-- At the inflow or outflow, u or v, respectively, have to be calculated for
1260	!-- one more grid point.
1261	IF ( bc_dirichlet_l .OR. bc_radiation_l ) THEN
1262	nxlu = nxl + 1
1263	ELSE
1264	nxlu = nxl
1265	ENDIF
1266	IF ( bc_dirichlet_s .OR. bc_radiation_s ) THEN
1267	nysv = nys + 1
1268	ELSE
1269	nysv = nys
1270	ENDIF
1271
1272	!
1273	!-- Allocate wall flag arrays used in the multigrid solver
1274	IF ( psolver(1:9) == 'multigrid' ) THEN
1275
1276	DO i = maximum_grid_level, 1, -1
1277
1278	SELECT CASE ( i )
1279
1280	CASE ( 1 )
1281	ALLOCATE( wall_flags_1(nzb:nzt_mg(i)+1, &
1282	nys_mg(i)-1:nyn_mg(i)+1, &
1283	nxl_mg(i)-1:nxr_mg(i)+1) )
1284
1285	CASE ( 2 )
1286	ALLOCATE( wall_flags_2(nzb:nzt_mg(i)+1, &
1287	nys_mg(i)-1:nyn_mg(i)+1, &
1288	nxl_mg(i)-1:nxr_mg(i)+1) )
1289
1290	CASE ( 3 )
1291	ALLOCATE( wall_flags_3(nzb:nzt_mg(i)+1, &
1292	nys_mg(i)-1:nyn_mg(i)+1, &
1293	nxl_mg(i)-1:nxr_mg(i)+1) )
1294
1295	CASE ( 4 )
1296	ALLOCATE( wall_flags_4(nzb:nzt_mg(i)+1, &
1297	nys_mg(i)-1:nyn_mg(i)+1, &
1298	nxl_mg(i)-1:nxr_mg(i)+1) )
1299
1300	CASE ( 5 )
1301	ALLOCATE( wall_flags_5(nzb:nzt_mg(i)+1, &
1302	nys_mg(i)-1:nyn_mg(i)+1, &
1303	nxl_mg(i)-1:nxr_mg(i)+1) )
1304
1305	CASE ( 6 )
1306	ALLOCATE( wall_flags_6(nzb:nzt_mg(i)+1, &
1307	nys_mg(i)-1:nyn_mg(i)+1, &
1308	nxl_mg(i)-1:nxr_mg(i)+1) )
1309
1310	CASE ( 7 )
1311	ALLOCATE( wall_flags_7(nzb:nzt_mg(i)+1, &
1312	nys_mg(i)-1:nyn_mg(i)+1, &
1313	nxl_mg(i)-1:nxr_mg(i)+1) )
1314
1315	CASE ( 8 )
1316	ALLOCATE( wall_flags_8(nzb:nzt_mg(i)+1, &
1317	nys_mg(i)-1:nyn_mg(i)+1, &
1318	nxl_mg(i)-1:nxr_mg(i)+1) )
1319
1320	CASE ( 9 )
1321	ALLOCATE( wall_flags_9(nzb:nzt_mg(i)+1, &
1322	nys_mg(i)-1:nyn_mg(i)+1, &
1323	nxl_mg(i)-1:nxr_mg(i)+1) )
1324
1325	CASE ( 10 )
1326	ALLOCATE( wall_flags_10(nzb:nzt_mg(i)+1, &
1327	nys_mg(i)-1:nyn_mg(i)+1, &
1328	nxl_mg(i)-1:nxr_mg(i)+1) )
1329
1330	CASE DEFAULT
1331	message_string = 'more than 10 multigrid levels'
1332	CALL message( 'init_pegrid', 'PA0238', 1, 2, 0, 6, 0 )
1333
1334	END SELECT
1335
1336	ENDDO
1337
1338	ENDIF
1339
1340	END SUBROUTINE init_pegrid

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