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source: palm/trunk/SOURCE/init_pegrid.f90 @ 4228

Last change on this file since 4228 was 4182, checked in by scharf, 5 years ago
corrected "Former revisions" section minor formatting in "Former revisions" section added "Author" section
Property svn:keywords set to `Id`
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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 4182 2019-08-22 15:20:23Z Giersch $
27	! Corrected "Former revisions" section
28	!
29	! 4045 2019-06-21 10:58:47Z raasch
30	! bugfix: kind attribute added to nint function to allow for large integers which may appear in
31	! case of default recycling width and small grid spacings
32	!
33	! 3999 2019-05-23 16:09:37Z suehring
34	! Spend 3 ghost points also in case of pw-scheme when nesting is applied
35	!
36	! 3897 2019-04-15 11:51:14Z suehring
37	! Minor revision of multigrid check; give warning instead of an abort.
38	!
39	! 3890 2019-04-12 15:59:20Z suehring
40	! Check if grid coarsening is possible on subdomain, in order to avoid that
41	! multigrid approach effectively reduces to a Gauss-Seidel scheme.
42	!
43	! 3885 2019-04-11 11:29:34Z kanani
44	! Changes related to global restructuring of location messages and introduction
45	! of additional debug messages
46	!
47	! 3884 2019-04-10 13:31:55Z Giersch
48	! id_recycling is only calculated in case of tubulent inflow
49	!
50	! 3761 2019-02-25 15:31:42Z raasch
51	! unused variable removed
52	!
53	! 3655 2019-01-07 16:51:22Z knoop
54	! variables documented
55	!
56	! Revision 1.1 1997/07/24 11:15:09 raasch
57	! Initial revision
58	!
59	!
60	! Description:
61	! ------------
62	!> Determination of the virtual processor topology (if not prescribed by the
63	!> user)and computation of the grid point number and array bounds of the local
64	!> domains.
65	!> @todo: remove MPI-data types for 2D exchange on coarse multigrid level (not
66	!> used any more)
67	!------------------------------------------------------------------------------!
68	SUBROUTINE init_pegrid
69
70
71	USE control_parameters, &
72	ONLY: bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, bc_dirichlet_s, &
73	bc_lr, bc_ns, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
74	bc_radiation_s, coupling_mode, coupling_topology, gathered_size,&
75	grid_level, grid_level_count, maximum_grid_level, &
76	message_string, mg_switch_to_pe0_level, momentum_advec, &
77	psolver, outflow_source_plane, recycling_width, scalar_advec, &
78	subdomain_size, turbulent_inflow, turbulent_outflow, y_shift
79
80	USE grid_variables, &
81	ONLY: dx
82
83	USE indices, &
84	ONLY: mg_loc_ind, nbgp, nnx, nny, nnz, nx, nx_a, nx_o, nxl, nxl_mg, &
85	nxlu, nxr, nxr_mg, ny, ny_a, ny_o, nyn, nyn_mg, nys, nys_mg, &
86	nysv, nz, nzb, nzt, nzt_mg, wall_flags_1, wall_flags_2, &
87	wall_flags_3, wall_flags_4, wall_flags_5, wall_flags_6, &
88	wall_flags_7, wall_flags_8, wall_flags_9, wall_flags_10
89
90	USE kinds
91
92	USE pegrid
93
94	USE pmc_interface, &
95	ONLY: nested_run
96
97	USE spectra_mod, &
98	ONLY: calculate_spectra, dt_dosp
99
100	USE synthetic_turbulence_generator_mod, &
101	ONLY: id_stg_left, id_stg_north, id_stg_right, id_stg_south, &
102	use_syn_turb_gen
103
104	USE transpose_indices, &
105	ONLY: nxl_y, nxl_yd, nxl_z, nxr_y, nxr_yd, nxr_z, nyn_x, nyn_z, nys_x,&
106	nys_z, nzb_x, nzb_y, nzb_yd, nzt_x, nzt_yd, nzt_y
107
108	USE vertical_nesting_mod, &
109	ONLY: vnested, vnest_init_pegrid_domain, vnest_init_pegrid_rank
110
111	IMPLICIT NONE
112
113	INTEGER(iwp) :: i !< running index over number of processors or number of multigrid level
114	INTEGER(iwp) :: id_inflow_l !< ID indicating processors located at the left inflow boundary
115	INTEGER(iwp) :: id_outflow_l !< local value of id_outflow
116	INTEGER(iwp) :: id_outflow_source_l !< local value of id_outflow_source
117	INTEGER(iwp) :: id_recycling_l !< ID indicating processors located at the recycling plane
118	INTEGER(iwp) :: id_stg_left_l !< left lateral boundary local core id in case of turbulence generator
119	INTEGER(iwp) :: id_stg_north_l !< north lateral boundary local core id in case of turbulence generator
120	INTEGER(iwp) :: id_stg_right_l !< right lateral boundary local core id in case of turbulence generator
121	INTEGER(iwp) :: id_stg_south_l !< south lateral boundary local core id in case of turbulence generator
122	INTEGER(iwp) :: ind(5) !< array containing the subdomain bounds
123	INTEGER(iwp) :: j !< running index, used for various loops
124	INTEGER(iwp) :: k !< number of vertical grid points in different multigrid level
125	INTEGER(iwp) :: maximum_grid_level_l !< maximum number of grid level without switching to PE 0
126	INTEGER(iwp) :: mg_levels_x !< maximum number of grid level allowed along x-direction
127	INTEGER(iwp) :: mg_levels_y !< maximum number of grid level allowed along y-direction
128	INTEGER(iwp) :: mg_levels_z !< maximum number of grid level allowed along z-direction
129	INTEGER(iwp) :: mg_switch_to_pe0_level_l !< maximum number of grid level with switching to PE 0
130	INTEGER(iwp) :: nnx_y !< quotient of number of grid points along x-direction and number of PEs used along y-direction
131	INTEGER(iwp) :: nny_x !< quotient of number of grid points along y-direction and number of PEs used along x-direction
132	INTEGER(iwp) :: nny_z !< quotient of number of grid points along y-direction and number of PEs used along x-direction
133	INTEGER(iwp) :: nnz_x !< quotient of number of grid points along z-direction and number of PEs used along x-direction
134	INTEGER(iwp) :: nnz_y !< quotient of number of grid points along z-direction and number of PEs used along x-direction
135	INTEGER(iwp) :: numproc_sqr !< square root of the number of processors
136	INTEGER(iwp) :: nxl_l !< lower index bound along x-direction on subdomain and different multigrid level
137	INTEGER(iwp) :: nxr_l !< upper index bound along x-direction on subdomain and different multigrid level
138	INTEGER(iwp) :: nyn_l !< lower index bound along y-direction on subdomain and different multigrid level
139	INTEGER(iwp) :: nys_l !< upper index bound along y-direction on subdomain and different multigrid level
140	INTEGER(iwp) :: nzb_l !< lower index bound along z-direction on subdomain and different multigrid level
141	INTEGER(iwp) :: nzt_l !< upper index bound along z-direction on subdomain and different multigrid level
142	!$ INTEGER(iwp) :: omp_get_num_threads !< number of OpenMP threads
143
144	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: ind_all !< dummy array containing index bounds on subdomain, used for gathering
145	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nxlf !< lower index bound allong x-direction for every PE
146	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nxrf !< upper index bound allong x-direction for every PE
147	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nynf !< lower index bound allong y-direction for every PE
148	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nysf !< lower index bound allong y-direction for every PE
149
150	INTEGER(iwp), DIMENSION(2) :: pdims_remote !< number of PEs used for coupled model (only in atmospher-ocean coupling)
151	INTEGER(iwp) :: lcoord(2) !< PE coordinates of left neighbor along x and y
152	INTEGER(iwp) :: rcoord(2) !< PE coordinates of right neighbor along x and y
153
154	!
155	!-- Get the number of OpenMP threads
156	!$OMP PARALLEL
157	!$ threads_per_task = omp_get_num_threads()
158	!$OMP END PARALLEL
159
160
161	#if defined( __parallel )
162
163	CALL location_message( 'creating virtual PE grids + MPI derived data types', 'start' )
164
165	!
166	!-- Determine the processor topology or check it, if prescribed by the user
167	IF ( npex == -1 .AND. npey == -1 ) THEN
168
169	!
170	!-- Automatic determination of the topology
171	numproc_sqr = SQRT( REAL( numprocs, KIND=wp ) )
172	pdims(1) = MAX( numproc_sqr , 1 )
173	DO WHILE ( MOD( numprocs , pdims(1) ) /= 0 )
174	pdims(1) = pdims(1) - 1
175	ENDDO
176	pdims(2) = numprocs / pdims(1)
177
178	ELSEIF ( npex /= -1 .AND. npey /= -1 ) THEN
179
180	!
181	!-- Prescribed by user. Number of processors on the prescribed topology
182	!-- must be equal to the number of PEs available to the job
183	IF ( ( npex * npey ) /= numprocs ) THEN
184	WRITE( message_string, * ) 'number of PEs of the prescribed ', &
185	'topology (', npex*npey,') does not match & the number of ', &
186	'PEs available to the job (', numprocs, ')'
187	CALL message( 'init_pegrid', 'PA0221', 1, 2, 0, 6, 0 )
188	ENDIF
189	pdims(1) = npex
190	pdims(2) = npey
191
192	ELSE
193	!
194	!-- If the processor topology is prescribed by the user, the number of
195	!-- PEs must be given in both directions
196	message_string = 'if the processor topology is prescribed by th' // &
197	'e user & both values of "npex" and "npey" must be given' // &
198	' in the &NAMELIST-parameter file'
199	CALL message( 'init_pegrid', 'PA0222', 1, 2, 0, 6, 0 )
200
201	ENDIF
202
203	!
204	!-- If necessary, set horizontal boundary conditions to non-cyclic
205	IF ( bc_lr /= 'cyclic' ) cyclic(1) = .FALSE.
206	IF ( bc_ns /= 'cyclic' ) cyclic(2) = .FALSE.
207
208
209	!
210	!-- Create the virtual processor grid
211	CALL MPI_CART_CREATE( comm_palm, ndim, pdims, cyclic, reorder, &
212	comm2d, ierr )
213	CALL MPI_COMM_RANK( comm2d, myid, ierr )
214	WRITE (myid_char,'(''_'',I6.6)') myid
215
216	CALL MPI_CART_COORDS( comm2d, myid, ndim, pcoord, ierr )
217	CALL MPI_CART_SHIFT( comm2d, 0, 1, pleft, pright, ierr )
218	CALL MPI_CART_SHIFT( comm2d, 1, 1, psouth, pnorth, ierr )
219	!
220	!-- In case of cyclic boundary conditions, a y-shift at the boundaries in
221	!-- x-direction can be introduced via parameter y_shift. The shift is done
222	!-- by modifying the processor grid in such a way that processors located
223	!-- at the x-boundary communicate across it to processors with y-coordinate
224	!-- shifted by y_shift relative to their own. This feature can not be used
225	!-- in combination with an fft pressure solver. It has been implemented to
226	!-- counter the effect of streak structures in case of cyclic boundary
227	!-- conditions. For a description of these see Munters
228	!-- (2016; dx.doi.org/10.1063/1.4941912)
229	!--
230	!-- Get coordinates of left and right neighbor on PE grid
231	IF ( y_shift /= 0 ) THEN
232
233	IF ( bc_lr /= 'cyclic' .OR. bc_ns /= 'cyclic' ) THEN
234	message_string = 'y_shift /= 0 is only allowed for cyclic ' // &
235	'boundary conditions in both directions '
236	CALL message( 'check_parameters', 'PA0467', 1, 2, 0, 6, 0 )
237	ENDIF
238	IF ( TRIM( psolver ) /= 'multigrid' .AND. &
239	TRIM( psolver ) /= 'multigrid_noopt') &
240	THEN
241	message_string = 'y_shift /= 0 requires a multigrid pressure solver '
242	CALL message( 'check_parameters', 'PA0468', 1, 2, 0, 6, 0 )
243	ENDIF
244
245	CALL MPI_CART_COORDS( comm2d, pright, ndim, rcoord, ierr )
246	CALL MPI_CART_COORDS( comm2d, pleft, ndim, lcoord, ierr )
247
248	!
249	!-- If the x(y)-coordinate of the right (left) neighbor is smaller (greater)
250	!-- than that of the calling process, then the calling process is located on
251	!-- the right (left) boundary of the processor grid. In that case,
252	!-- the y-coordinate of that neighbor is increased (decreased) by y_shift.
253	!-- The rank of the process with that coordinate is then inquired and the
254	!-- neighbor rank for MPI_SENDRECV, pright (pleft) is set to it.
255	!-- In this way, the calling process receives a new right (left) neighbor
256	!-- for all future MPI_SENDRECV calls. That neighbor has a y-coordinate
257	!-- of y+(-)y_shift, where y is the original right (left) neighbor's
258	!-- y-coordinate. The modulo-operation ensures that if the neighbor's
259	!-- y-coordinate exceeds the grid-boundary, it will be relocated to
260	!-- the opposite part of the grid cyclicly.
261	IF ( rcoord(1) < pcoord(1) ) THEN
262	rcoord(2) = MODULO( rcoord(2) + y_shift, pdims(2) )
263	CALL MPI_CART_RANK( comm2d, rcoord, pright, ierr )
264	ENDIF
265
266	IF ( lcoord(1) > pcoord(1) ) THEN
267	lcoord(2) = MODULO( lcoord(2) - y_shift, pdims(2) )
268	CALL MPI_CART_RANK( comm2d, lcoord, pleft, ierr )
269	ENDIF
270	ENDIF
271	!
272	!-- Vertical nesting: store four lists that identify partner ranks to exchange
273	!-- data
274	IF ( vnested ) CALL vnest_init_pegrid_rank
275
276	!
277	!-- Determine sub-topologies for transpositions
278	!-- Transposition from z to x:
279	remain_dims(1) = .TRUE.
280	remain_dims(2) = .FALSE.
281	CALL MPI_CART_SUB( comm2d, remain_dims, comm1dx, ierr )
282	CALL MPI_COMM_RANK( comm1dx, myidx, ierr )
283	!
284	!-- Transposition from x to y
285	remain_dims(1) = .FALSE.
286	remain_dims(2) = .TRUE.
287	CALL MPI_CART_SUB( comm2d, remain_dims, comm1dy, ierr )
288	CALL MPI_COMM_RANK( comm1dy, myidy, ierr )
289
290
291	!
292	!-- Calculate array bounds along x-direction for every PE.
293	ALLOCATE( nxlf(0:pdims(1)-1), nxrf(0:pdims(1)-1), nynf(0:pdims(2)-1), &
294	nysf(0:pdims(2)-1) )
295
296	IF ( MOD( nx+1 , pdims(1) ) /= 0 ) THEN
297	WRITE( message_string, * ) 'x-direction: gridpoint number (',nx+1,') ', &
298	'is not an& integral divisor of the number ', &
299	'of processors (', pdims(1),')'
300	CALL message( 'init_pegrid', 'PA0225', 1, 2, 0, 6, 0 )
301	ELSE
302	nnx = ( nx + 1 ) / pdims(1)
303	ENDIF
304
305	!
306	!-- Left and right array bounds, number of gridpoints
307	DO i = 0, pdims(1)-1
308	nxlf(i) = i * nnx
309	nxrf(i) = ( i + 1 ) * nnx - 1
310	ENDDO
311
312	!
313	!-- Calculate array bounds in y-direction for every PE.
314	IF ( MOD( ny+1 , pdims(2) ) /= 0 ) THEN
315	WRITE( message_string, * ) 'y-direction: gridpoint number (',ny+1,') ', &
316	'is not an& integral divisor of the number of', &
317	'processors (', pdims(2),')'
318	CALL message( 'init_pegrid', 'PA0227', 1, 2, 0, 6, 0 )
319	ELSE
320	nny = ( ny + 1 ) / pdims(2)
321	ENDIF
322
323	!
324	!-- South and north array bounds
325	DO j = 0, pdims(2)-1
326	nysf(j) = j * nny
327	nynf(j) = ( j + 1 ) * nny - 1
328	ENDDO
329
330	!
331	!-- Local array bounds of the respective PEs
332	nxl = nxlf(pcoord(1))
333	nxr = nxrf(pcoord(1))
334	nys = nysf(pcoord(2))
335	nyn = nynf(pcoord(2))
336	nzb = 0
337	nzt = nz
338	nnz = nz
339
340	!
341	!-- Set switches to define if the PE is situated at the border of the virtual
342	!-- processor grid
343	IF ( nxl == 0 ) left_border_pe = .TRUE.
344	IF ( nxr == nx ) right_border_pe = .TRUE.
345	IF ( nys == 0 ) south_border_pe = .TRUE.
346	IF ( nyn == ny ) north_border_pe = .TRUE.
347
348	!
349	!-- Calculate array bounds and gridpoint numbers for the transposed arrays
350	!-- (needed in the pressure solver)
351	!-- For the transposed arrays, cyclic boundaries as well as top and bottom
352	!-- boundaries are omitted, because they are obstructive to the transposition
353
354	!
355	!-- 1. transposition z --> x
356	!-- This transposition is not neccessary in case of a 1d-decomposition along x
357	IF ( psolver == 'poisfft' .OR. calculate_spectra ) THEN
358
359	IF ( pdims(2) /= 1 ) THEN
360	IF ( MOD( nz , pdims(1) ) /= 0 ) THEN
361	WRITE( message_string, * ) 'transposition z --> x:', &
362	'& nz=',nz,' is not an integral divisior of pdims(1)=', &
363	pdims(1)
364	CALL message( 'init_pegrid', 'PA0230', 1, 2, 0, 6, 0 )
365	ENDIF
366	ENDIF
367
368	nys_x = nys
369	nyn_x = nyn
370	nny_x = nny
371	nnz_x = nz / pdims(1)
372	nzb_x = 1 + myidx * nnz_x
373	nzt_x = ( myidx + 1 ) * nnz_x
374	sendrecvcount_zx = nnx * nny * nnz_x
375
376	ENDIF
377
378
379	IF ( psolver == 'poisfft' ) THEN
380	!
381	!-- 2. transposition x --> y
382	IF ( MOD( nx+1 , pdims(2) ) /= 0 ) THEN
383	WRITE( message_string, * ) 'transposition x --> y:', &
384	'& nx+1=',nx+1,' is not an integral divisor of ', &
385	'pdims(2)=',pdims(2)
386	CALL message( 'init_pegrid', 'PA0231', 1, 2, 0, 6, 0 )
387	ENDIF
388
389	nnz_y = nnz_x
390	nzb_y = nzb_x
391	nzt_y = nzt_x
392	nnx_y = (nx+1) / pdims(2)
393	nxl_y = myidy * nnx_y
394	nxr_y = ( myidy + 1 ) * nnx_y - 1
395	sendrecvcount_xy = nnx_y * nny_x * nnz_y
396	!
397	!-- 3. transposition y --> z
398	!-- (ELSE: x --> y in case of 1D-decomposition along x)
399	nxl_z = nxl_y
400	nxr_z = nxr_y
401	nny_z = (ny+1) / pdims(1)
402	nys_z = myidx * nny_z
403	nyn_z = ( myidx + 1 ) * nny_z - 1
404	sendrecvcount_yz = nnx_y * nny_z * nnz_y
405
406	IF ( pdims(2) /= 1 ) THEN
407	!
408	!-- y --> z
409	!-- This transposition is not neccessary in case of a 1d-decomposition
410	!-- along x, except that the uptream-spline method is switched on
411	IF ( MOD( ny+1 , pdims(1) ) /= 0 ) THEN
412	WRITE( message_string, * ) 'transposition y --> z:', &
413	'& ny+1=',ny+1,' is not an integral divisor of',&
414	' pdims(1)=',pdims(1)
415	CALL message( 'init_pegrid', 'PA0232', 1, 2, 0, 6, 0 )
416	ENDIF
417
418	ELSE
419	!
420	!-- x --> y
421	!-- This condition must be fulfilled for a 1D-decomposition along x
422	IF ( MOD( ny+1 , pdims(1) ) /= 0 ) THEN
423	WRITE( message_string, * ) 'transposition x --> y:', &
424	'& ny+1=',ny+1,' is not an integral divisor of',&
425	' pdims(1)=',pdims(1)
426	CALL message( 'init_pegrid', 'PA0233', 1, 2, 0, 6, 0 )
427	ENDIF
428
429	ENDIF
430
431	ENDIF
432
433	!
434	!-- Indices for direct transpositions z --> y (used for calculating spectra)
435	IF ( calculate_spectra ) THEN
436	IF ( MOD( nz, pdims(2) ) /= 0 ) THEN
437	WRITE( message_string, * ) 'direct transposition z --> y (needed ', &
438	'for spectra): nz=',nz,' is not an integral divisor of ', &
439	'pdims(2)=',pdims(2)
440	CALL message( 'init_pegrid', 'PA0234', 1, 2, 0, 6, 0 )
441	ELSE
442	nxl_yd = nxl
443	nxr_yd = nxr
444	nzb_yd = 1 + myidy * ( nz / pdims(2) )
445	nzt_yd = ( myidy + 1 ) * ( nz / pdims(2) )
446	sendrecvcount_zyd = nnx * nny * ( nz / pdims(2) )
447	ENDIF
448	ENDIF
449
450	IF ( psolver == 'poisfft' .OR. calculate_spectra ) THEN
451	!
452	!-- Indices for direct transpositions y --> x
453	!-- (they are only possible in case of a 1d-decomposition along x)
454	IF ( pdims(2) == 1 ) THEN
455	nny_x = nny / pdims(1)
456	nys_x = myid * nny_x
457	nyn_x = ( myid + 1 ) * nny_x - 1
458	nzb_x = 1
459	nzt_x = nz
460	sendrecvcount_xy = nnx * nny_x * nz
461	ENDIF
462
463	ENDIF
464
465	IF ( psolver == 'poisfft' ) THEN
466	!
467	!-- Indices for direct transpositions x --> y
468	!-- (they are only possible in case of a 1d-decomposition along y)
469	IF ( pdims(1) == 1 ) THEN
470	nnx_y = nnx / pdims(2)
471	nxl_y = myid * nnx_y
472	nxr_y = ( myid + 1 ) * nnx_y - 1
473	nzb_y = 1
474	nzt_y = nz
475	sendrecvcount_xy = nnx_y * nny * nz
476	ENDIF
477
478	ENDIF
479
480	!
481	!-- Arrays for storing the array bounds are needed any more
482	DEALLOCATE( nxlf , nxrf , nynf , nysf )
483
484
485	!
486	!-- Collect index bounds from other PEs (to be written to restart file later)
487	ALLOCATE( hor_index_bounds(4,0:numprocs-1) )
488
489	IF ( myid == 0 ) THEN
490
491	hor_index_bounds(1,0) = nxl
492	hor_index_bounds(2,0) = nxr
493	hor_index_bounds(3,0) = nys
494	hor_index_bounds(4,0) = nyn
495
496	!
497	!-- Receive data from all other PEs
498	DO i = 1, numprocs-1
499	CALL MPI_RECV( ibuf, 4, MPI_INTEGER, i, MPI_ANY_TAG, comm2d, status, &
500	ierr )
501	hor_index_bounds(:,i) = ibuf(1:4)
502	ENDDO
503
504	ELSE
505	!
506	!-- Send index bounds to PE0
507	ibuf(1) = nxl
508	ibuf(2) = nxr
509	ibuf(3) = nys
510	ibuf(4) = nyn
511	CALL MPI_SEND( ibuf, 4, MPI_INTEGER, 0, myid, comm2d, ierr )
512
513	ENDIF
514
515
516	#if defined( __print )
517	!
518	!-- Control output
519	IF ( myid == 0 ) THEN
520	PRINT, ' processor topology *'
521	PRINT*, ' '
522	PRINT*, 'myid pcoord left right south north idx idy nxl: nxr',&
523	&' nys: nyn'
524	PRINT*, '------------------------------------------------------------',&
525	&'-----------'
526	WRITE (*,1000) 0, pcoord(1), pcoord(2), pleft, pright, psouth, pnorth, &
527	myidx, myidy, nxl, nxr, nys, nyn
528	1000 FORMAT (I4,2X,'(',I3,',',I3,')',3X,I4,2X,I4,3X,I4,2X,I4,2X,I3,1X,I3, &
529	2(2X,I4,':',I4))
530
531	!
532	!-- Receive data from the other PEs
533	DO i = 1,numprocs-1
534	CALL MPI_RECV( ibuf, 12, MPI_INTEGER, i, MPI_ANY_TAG, comm2d, status, &
535	ierr )
536	WRITE (*,1000) i, ( ibuf(j) , j = 1,12 )
537	ENDDO
538	ELSE
539
540	!
541	!-- Send data to PE0
542	ibuf(1) = pcoord(1); ibuf(2) = pcoord(2); ibuf(3) = pleft
543	ibuf(4) = pright; ibuf(5) = psouth; ibuf(6) = pnorth; ibuf(7) = myidx
544	ibuf(8) = myidy; ibuf(9) = nxl; ibuf(10) = nxr; ibuf(11) = nys
545	ibuf(12) = nyn
546	CALL MPI_SEND( ibuf, 12, MPI_INTEGER, 0, myid, comm2d, ierr )
547	ENDIF
548	#endif
549
550	!
551	!-- Determine the number of ghost point layers
552	IF ( scalar_advec == 'ws-scheme' .OR. &
553	momentum_advec == 'ws-scheme' .OR. nested_run ) THEN
554	nbgp = 3
555	ELSE
556	nbgp = 1
557	ENDIF
558
559	!
560	!-- Create a new MPI derived datatype for the exchange of surface (xy) data,
561	!-- which is needed for coupled atmosphere-ocean runs.
562	!-- First, calculate number of grid points of an xy-plane.
563	ngp_xy = ( nxr - nxl + 1 + 2 * nbgp ) * ( nyn - nys + 1 + 2 * nbgp )
564	CALL MPI_TYPE_VECTOR( ngp_xy, 1, nzt-nzb+2, MPI_REAL, type_xy, ierr )
565	CALL MPI_TYPE_COMMIT( type_xy, ierr )
566
567	IF ( TRIM( coupling_mode ) /= 'uncoupled' .AND. .NOT. vnested ) THEN
568
569	!
570	!-- Pass the number of grid points of the atmosphere model to
571	!-- the ocean model and vice versa
572	IF ( coupling_mode == 'atmosphere_to_ocean' ) THEN
573
574	nx_a = nx
575	ny_a = ny
576
577	IF ( myid == 0 ) THEN
578
579	CALL MPI_SEND( nx_a, 1, MPI_INTEGER, numprocs, 1, comm_inter, &
580	ierr )
581	CALL MPI_SEND( ny_a, 1, MPI_INTEGER, numprocs, 2, comm_inter, &
582	ierr )
583	CALL MPI_SEND( pdims, 2, MPI_INTEGER, numprocs, 3, comm_inter, &
584	ierr )
585	CALL MPI_RECV( nx_o, 1, MPI_INTEGER, numprocs, 4, comm_inter, &
586	status, ierr )
587	CALL MPI_RECV( ny_o, 1, MPI_INTEGER, numprocs, 5, comm_inter, &
588	status, ierr )
589	CALL MPI_RECV( pdims_remote, 2, MPI_INTEGER, numprocs, 6, &
590	comm_inter, status, ierr )
591	ENDIF
592
593	CALL MPI_BCAST( nx_o, 1, MPI_INTEGER, 0, comm2d, ierr )
594	CALL MPI_BCAST( ny_o, 1, MPI_INTEGER, 0, comm2d, ierr )
595	CALL MPI_BCAST( pdims_remote, 2, MPI_INTEGER, 0, comm2d, ierr )
596
597	ELSEIF ( coupling_mode == 'ocean_to_atmosphere' ) THEN
598
599	nx_o = nx
600	ny_o = ny
601
602	IF ( myid == 0 ) THEN
603
604	CALL MPI_RECV( nx_a, 1, MPI_INTEGER, 0, 1, comm_inter, status, &
605	ierr )
606	CALL MPI_RECV( ny_a, 1, MPI_INTEGER, 0, 2, comm_inter, status, &
607	ierr )
608	CALL MPI_RECV( pdims_remote, 2, MPI_INTEGER, 0, 3, comm_inter, &
609	status, ierr )
610	CALL MPI_SEND( nx_o, 1, MPI_INTEGER, 0, 4, comm_inter, ierr )
611	CALL MPI_SEND( ny_o, 1, MPI_INTEGER, 0, 5, comm_inter, ierr )
612	CALL MPI_SEND( pdims, 2, MPI_INTEGER, 0, 6, comm_inter, ierr )
613	ENDIF
614
615	CALL MPI_BCAST( nx_a, 1, MPI_INTEGER, 0, comm2d, ierr)
616	CALL MPI_BCAST( ny_a, 1, MPI_INTEGER, 0, comm2d, ierr)
617	CALL MPI_BCAST( pdims_remote, 2, MPI_INTEGER, 0, comm2d, ierr)
618
619	ENDIF
620
621	ngp_a = ( nx_a+1 + 2 * nbgp ) * ( ny_a+1 + 2 * nbgp )
622	ngp_o = ( nx_o+1 + 2 * nbgp ) * ( ny_o+1 + 2 * nbgp )
623
624	!
625	!-- Determine if the horizontal grid and the number of PEs in ocean and
626	!-- atmosphere is same or not
627	IF ( nx_o == nx_a .AND. ny_o == ny_a .AND. &
628	pdims(1) == pdims_remote(1) .AND. pdims(2) == pdims_remote(2) ) &
629	THEN
630	coupling_topology = 0
631	ELSE
632	coupling_topology = 1
633	ENDIF
634
635	!
636	!-- Determine the target PEs for the exchange between ocean and
637	!-- atmosphere (comm2d)
638	IF ( coupling_topology == 0 ) THEN
639	!
640	!-- In case of identical topologies, every atmosphere PE has exactly one
641	!-- ocean PE counterpart and vice versa
642	IF ( TRIM( coupling_mode ) == 'atmosphere_to_ocean' ) THEN
643	target_id = myid + numprocs
644	ELSE
645	target_id = myid
646	ENDIF
647
648	ELSE
649	!
650	!-- In case of nonequivalent topology in ocean and atmosphere only for
651	!-- PE0 in ocean and PE0 in atmosphere a target_id is needed, since
652	!-- data echxchange between ocean and atmosphere will be done only
653	!-- between these PEs.
654	IF ( myid == 0 ) THEN
655
656	IF ( TRIM( coupling_mode ) == 'atmosphere_to_ocean' ) THEN
657	target_id = numprocs
658	ELSE
659	target_id = 0
660	ENDIF
661
662	ENDIF
663
664	ENDIF
665
666	ENDIF
667
668	!
669	!-- Store partner grid point co-ordinates as lists.
670	!-- Create custom MPI vector datatypes for contiguous data transfer
671	IF ( vnested ) CALL vnest_init_pegrid_domain
672
673	#else
674
675	!
676	!-- Array bounds when running on a single PE (respectively a non-parallel
677	!-- machine)
678	nxl = 0
679	nxr = nx
680	nnx = nxr - nxl + 1
681	nys = 0
682	nyn = ny
683	nny = nyn - nys + 1
684	nzb = 0
685	nzt = nz
686	nnz = nz
687
688	ALLOCATE( hor_index_bounds(4,0:0) )
689	hor_index_bounds(1,0) = nxl
690	hor_index_bounds(2,0) = nxr
691	hor_index_bounds(3,0) = nys
692	hor_index_bounds(4,0) = nyn
693
694	!
695	!-- Array bounds for the pressure solver (in the parallel code, these bounds
696	!-- are the ones for the transposed arrays)
697	nys_x = nys
698	nyn_x = nyn
699	nzb_x = nzb + 1
700	nzt_x = nzt
701
702	nxl_y = nxl
703	nxr_y = nxr
704	nzb_y = nzb + 1
705	nzt_y = nzt
706
707	nxl_z = nxl
708	nxr_z = nxr
709	nys_z = nys
710	nyn_z = nyn
711
712	#endif
713
714	!
715	!-- Calculate number of grid levels necessary for the multigrid poisson solver
716	!-- as well as the gridpoint indices on each level
717	IF ( psolver(1:9) == 'multigrid' ) THEN
718
719	!
720	!-- First calculate number of possible grid levels for the subdomains
721	mg_levels_x = 1
722	mg_levels_y = 1
723	mg_levels_z = 1
724
725	i = nnx
726	DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 )
727	i = i / 2
728	mg_levels_x = mg_levels_x + 1
729	ENDDO
730
731	j = nny
732	DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 )
733	j = j / 2
734	mg_levels_y = mg_levels_y + 1
735	ENDDO
736
737	k = nz ! do not use nnz because it might be > nz due to transposition
738	! requirements
739	DO WHILE ( MOD( k, 2 ) == 0 .AND. k /= 2 )
740	k = k / 2
741	mg_levels_z = mg_levels_z + 1
742	ENDDO
743	!
744	!-- The optimized MG-solver does not allow odd values for nz at the coarsest
745	!-- grid level
746	IF ( TRIM( psolver ) /= 'multigrid_noopt' ) THEN
747	IF ( MOD( k, 2 ) /= 0 ) mg_levels_z = mg_levels_z - 1
748	!
749	!-- An odd value of nz does not work. The finest level must have an even
750	!-- value.
751	IF ( mg_levels_z == 0 ) THEN
752	message_string = 'optimized multigrid method requires nz to be even'
753	CALL message( 'init_pegrid', 'PA0495', 1, 2, 0, 6, 0 )
754	ENDIF
755	ENDIF
756
757	maximum_grid_level = MIN( mg_levels_x, mg_levels_y, mg_levels_z )
758	!
759	!-- Check if subdomain sizes prevents any coarsening.
760	!-- This case, the maximum number of grid levels is 1, i.e. effectively
761	!-- a Gauss-Seidel scheme is applied rather than a multigrid approach.
762	!-- Give a warning in this case.
763	IF ( maximum_grid_level == 1 .AND. mg_switch_to_pe0_level == -1 ) THEN
764	message_string = 'No grid coarsening possible, multigrid ' // &
765	'approach effectively reduces to a Gauss-Seidel ' //&
766	'scheme.'
767
768	CALL message( 'poismg', 'PA0648', 0, 1, 0, 6, 0 )
769	ENDIF
770
771	!
772	!-- Find out, if the total domain allows more levels. These additional
773	!-- levels are identically processed on all PEs.
774	IF ( numprocs > 1 .AND. mg_switch_to_pe0_level /= -1 ) THEN
775
776	IF ( mg_levels_z > MIN( mg_levels_x, mg_levels_y ) ) THEN
777
778	mg_switch_to_pe0_level_l = maximum_grid_level
779
780	mg_levels_x = 1
781	mg_levels_y = 1
782
783	i = nx+1
784	DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 )
785	i = i / 2
786	mg_levels_x = mg_levels_x + 1
787	ENDDO
788
789	j = ny+1
790	DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 )
791	j = j / 2
792	mg_levels_y = mg_levels_y + 1
793	ENDDO
794
795	maximum_grid_level_l = MIN( mg_levels_x, mg_levels_y, mg_levels_z )
796
797	IF ( maximum_grid_level_l > mg_switch_to_pe0_level_l ) THEN
798	mg_switch_to_pe0_level_l = maximum_grid_level_l - &
799	mg_switch_to_pe0_level_l + 1
800	ELSE
801	mg_switch_to_pe0_level_l = 0
802	ENDIF
803
804	ELSE
805
806	mg_switch_to_pe0_level_l = 0
807	maximum_grid_level_l = maximum_grid_level
808
809	ENDIF
810
811	!
812	!-- Use switch level calculated above only if it is not pre-defined
813	!-- by user
814	IF ( mg_switch_to_pe0_level == 0 ) THEN
815	IF ( mg_switch_to_pe0_level_l /= 0 ) THEN
816	mg_switch_to_pe0_level = mg_switch_to_pe0_level_l
817	maximum_grid_level = maximum_grid_level_l
818	ENDIF
819
820	ELSE
821	!
822	!-- Check pre-defined value and reset to default, if neccessary
823	IF ( mg_switch_to_pe0_level < mg_switch_to_pe0_level_l .OR. &
824	mg_switch_to_pe0_level >= maximum_grid_level_l ) THEN
825	message_string = 'mg_switch_to_pe0_level ' // &
826	'out of range and reset to 0'
827	CALL message( 'init_pegrid', 'PA0235', 0, 1, 0, 6, 0 )
828	mg_switch_to_pe0_level = 0
829	ELSE
830	!
831	!-- Use the largest number of possible levels anyway and recalculate
832	!-- the switch level to this largest number of possible values
833	maximum_grid_level = maximum_grid_level_l
834
835	ENDIF
836
837	ENDIF
838
839	ENDIF
840
841	ALLOCATE( grid_level_count(maximum_grid_level), &
842	nxl_mg(0:maximum_grid_level), nxr_mg(0:maximum_grid_level), &
843	nyn_mg(0:maximum_grid_level), nys_mg(0:maximum_grid_level), &
844	nzt_mg(0:maximum_grid_level) )
845
846	grid_level_count = 0
847	!
848	!-- Index zero required as dummy due to definition of arrays f2 and p2 in
849	!-- recursive subroutine next_mg_level
850	nxl_mg(0) = 0; nxr_mg(0) = 0; nyn_mg(0) = 0; nys_mg(0) = 0; nzt_mg(0) = 0
851
852	nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzt_l = nzt
853
854	DO i = maximum_grid_level, 1 , -1
855
856	IF ( i == mg_switch_to_pe0_level ) THEN
857	#if defined( __parallel )
858	!
859	!-- Save the grid size of the subdomain at the switch level, because
860	!-- it is needed in poismg.
861	ind(1) = nxl_l; ind(2) = nxr_l
862	ind(3) = nys_l; ind(4) = nyn_l
863	ind(5) = nzt_l
864	ALLOCATE( ind_all(5*numprocs), mg_loc_ind(5,0:numprocs-1) )
865	CALL MPI_ALLGATHER( ind, 5, MPI_INTEGER, ind_all, 5, &
866	MPI_INTEGER, comm2d, ierr )
867	DO j = 0, numprocs-1
868	DO k = 1, 5
869	mg_loc_ind(k,j) = ind_all(k+j*5)
870	ENDDO
871	ENDDO
872	DEALLOCATE( ind_all )
873	!
874	!-- Calculate the grid size of the total domain
875	nxr_l = ( nxr_l-nxl_l+1 ) * pdims(1) - 1
876	nxl_l = 0
877	nyn_l = ( nyn_l-nys_l+1 ) * pdims(2) - 1
878	nys_l = 0
879	!
880	!-- The size of this gathered array must not be larger than the
881	!-- array tend, which is used in the multigrid scheme as a temporary
882	!-- array. Therefore the subdomain size of an PE is calculated and
883	!-- the size of the gathered grid. These values are used in
884	!-- routines pres and poismg
885	subdomain_size = ( nxr - nxl + 2 * nbgp + 1 ) * &
886	( nyn - nys + 2 * nbgp + 1 ) * ( nzt - nzb + 2 )
887	gathered_size = ( nxr_l - nxl_l + 3 ) * ( nyn_l - nys_l + 3 ) * &
888	( nzt_l - nzb + 2 )
889
890	#else
891	message_string = 'multigrid gather/scatter impossible ' // &
892	'in non parallel mode'
893	CALL message( 'init_pegrid', 'PA0237', 1, 2, 0, 6, 0 )
894	#endif
895	ENDIF
896
897	nxl_mg(i) = nxl_l
898	nxr_mg(i) = nxr_l
899	nys_mg(i) = nys_l
900	nyn_mg(i) = nyn_l
901	nzt_mg(i) = nzt_l
902
903	nxl_l = nxl_l / 2
904	nxr_l = nxr_l / 2
905	nys_l = nys_l / 2
906	nyn_l = nyn_l / 2
907	nzt_l = nzt_l / 2
908
909	ENDDO
910
911	!
912	!-- Temporary problem: Currently calculation of maxerror in routine poismg crashes
913	!-- if grid data are collected on PE0 already on the finest grid level.
914	!-- To be solved later.
915	IF ( maximum_grid_level == mg_switch_to_pe0_level ) THEN
916	message_string = 'grid coarsening on subdomain level cannot be performed'
917	CALL message( 'poismg', 'PA0236', 1, 2, 0, 6, 0 )
918	ENDIF
919
920	ELSE
921
922	maximum_grid_level = 0
923
924	ENDIF
925
926	!
927	!-- Default level 0 tells exchange_horiz that all ghost planes have to be
928	!-- exchanged. grid_level is adjusted in poismg, where only one ghost plane
929	!-- is required.
930	grid_level = 0
931
932	#if defined( __parallel )
933	!
934	!-- Gridpoint number for the exchange of ghost points (y-line for 2D-arrays)
935	ngp_y = nyn - nys + 1 + 2 * nbgp
936
937	!
938	!-- Define new MPI derived datatypes for the exchange of ghost points in
939	!-- x- and y-direction for 2D-arrays (line)
940	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_REAL, type_x, &
941	ierr )
942	CALL MPI_TYPE_COMMIT( type_x, ierr )
943
944	CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_REAL, type_y, ierr )
945	CALL MPI_TYPE_COMMIT( type_y, ierr )
946	!
947	!-- Define new MPI derived datatypes for the exchange of ghost points in
948	!-- x- and y-direction for 2D-INTEGER arrays (line) - on normal grid.
949	!-- Define types for 32-bit and 8-bit Integer. The 8-bit Integer are only
950	!-- required on normal grid, while 32-bit Integer may be also required on
951	!-- coarser grid level in case of multigrid solver.
952	!
953	!-- 8-bit Integer
954	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_BYTE, &
955	type_x_byte, ierr )
956	CALL MPI_TYPE_COMMIT( type_x_byte, ierr )
957
958	CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_BYTE, &
959	type_y_byte, ierr )
960	CALL MPI_TYPE_COMMIT( type_y_byte, ierr )
961	!
962	!-- 32-bit Integer
963	ALLOCATE( type_x_int(0:maximum_grid_level), &
964	type_y_int(0:maximum_grid_level) )
965
966	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2*nbgp, nbgp, ngp_y, MPI_INTEGER, &
967	type_x_int(0), ierr )
968	CALL MPI_TYPE_COMMIT( type_x_int(0), ierr )
969
970	CALL MPI_TYPE_VECTOR( nbgp, ngp_y, ngp_y, MPI_INTEGER, type_y_int(0), ierr )
971	CALL MPI_TYPE_COMMIT( type_y_int(0), ierr )
972	!
973	!-- Calculate gridpoint numbers for the exchange of ghost points along x
974	!-- (yz-plane for 3D-arrays) and define MPI derived data type(s) for the
975	!-- exchange of ghost points in y-direction (xz-plane).
976	!-- Do these calculations for the model grid and (if necessary) also
977	!-- for the coarser grid levels used in the multigrid method
978	ALLOCATE ( ngp_xz(0:maximum_grid_level), &
979	ngp_xz_int(0:maximum_grid_level), &
980	ngp_yz(0:maximum_grid_level), &
981	ngp_yz_int(0:maximum_grid_level), &
982	type_xz(0:maximum_grid_level), &
983	type_xz_int(0:maximum_grid_level), &
984	type_yz(0:maximum_grid_level), &
985	type_yz_int(0:maximum_grid_level) )
986
987	nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzb_l = nzb; nzt_l = nzt
988
989	!
990	!-- Discern between the model grid, which needs nbgp ghost points and
991	!-- grid levels for the multigrid scheme. In the latter case only one
992	!-- ghost point is necessary.
993	!-- First definition of MPI-datatypes for exchange of ghost layers on normal
994	!-- grid. The following loop is needed for data exchange in poismg.f90.
995	!
996	!-- Determine number of grid points of yz-layer for exchange
997	ngp_yz(0) = (nzt - nzb + 2) * (nyn - nys + 1 + 2 * nbgp)
998
999	!
1000	!-- Define an MPI-datatype for the exchange of left/right boundaries.
1001	!-- Although data are contiguous in physical memory (which does not
1002	!-- necessarily require an MPI-derived datatype), the data exchange between
1003	!-- left and right PE's using the MPI-derived type is 10% faster than without.
1004	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2nbgp, nbgp(nzt-nzb+2), ngp_yz(0), &
1005	MPI_REAL, type_xz(0), ierr )
1006	CALL MPI_TYPE_COMMIT( type_xz(0), ierr )
1007
1008	CALL MPI_TYPE_VECTOR( nbgp, ngp_yz(0), ngp_yz(0), MPI_REAL, type_yz(0), &
1009	ierr )
1010	CALL MPI_TYPE_COMMIT( type_yz(0), ierr )
1011
1012	!
1013	!-- Define data types for exchange of 3D Integer arrays.
1014	ngp_yz_int(0) = (nzt - nzb + 2) * (nyn - nys + 1 + 2 * nbgp)
1015
1016	CALL MPI_TYPE_VECTOR( nxr-nxl+1+2nbgp, nbgp(nzt-nzb+2), ngp_yz_int(0), &
1017	MPI_INTEGER, type_xz_int(0), ierr )
1018	CALL MPI_TYPE_COMMIT( type_xz_int(0), ierr )
1019
1020	CALL MPI_TYPE_VECTOR( nbgp, ngp_yz_int(0), ngp_yz_int(0), MPI_INTEGER, &
1021	type_yz_int(0), ierr )
1022	CALL MPI_TYPE_COMMIT( type_yz_int(0), ierr )
1023
1024	!
1025	!-- Definition of MPI-datatypes for multigrid method (coarser level grids)
1026	IF ( psolver(1:9) == 'multigrid' ) THEN
1027	!
1028	!-- Definition of MPI-datatyoe as above, but only 1 ghost level is used
1029	DO i = maximum_grid_level, 1 , -1
1030	!
1031	!-- For 3D-exchange on different multigrid level, one ghost point for
1032	!-- REAL arrays, two ghost points for INTEGER arrays
1033	ngp_xz(i) = (nzt_l - nzb_l + 2) * (nxr_l - nxl_l + 3)
1034	ngp_yz(i) = (nzt_l - nzb_l + 2) * (nyn_l - nys_l + 3)
1035
1036	ngp_xz_int(i) = (nzt_l - nzb_l + 2) * (nxr_l - nxl_l + 3)
1037	ngp_yz_int(i) = (nzt_l - nzb_l + 2) * (nyn_l - nys_l + 3)
1038	!
1039	!-- MPI data type for REAL arrays, for xz-layers
1040	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+3, nzt_l-nzb_l+2, ngp_yz(i), &
1041	MPI_REAL, type_xz(i), ierr )
1042	CALL MPI_TYPE_COMMIT( type_xz(i), ierr )
1043
1044	!
1045	!-- MPI data type for INTEGER arrays, for xz-layers
1046	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+3, nzt_l-nzb_l+2, ngp_yz_int(i), &
1047	MPI_INTEGER, type_xz_int(i), ierr )
1048	CALL MPI_TYPE_COMMIT( type_xz_int(i), ierr )
1049
1050	!
1051	!-- MPI data type for REAL arrays, for yz-layers
1052	CALL MPI_TYPE_VECTOR( 1, ngp_yz(i), ngp_yz(i), MPI_REAL, type_yz(i), &
1053	ierr )
1054	CALL MPI_TYPE_COMMIT( type_yz(i), ierr )
1055	!
1056	!-- MPI data type for INTEGER arrays, for yz-layers
1057	CALL MPI_TYPE_VECTOR( 1, ngp_yz_int(i), ngp_yz_int(i), MPI_INTEGER, &
1058	type_yz_int(i), ierr )
1059	CALL MPI_TYPE_COMMIT( type_yz_int(i), ierr )
1060
1061
1062	!-- For 2D-exchange of INTEGER arrays on coarser grid level, where 2 ghost
1063	!-- points need to be exchanged. Only required for 32-bit Integer arrays.
1064	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+5, 2, nyn_l-nys_l+5, MPI_INTEGER, &
1065	type_x_int(i), ierr )
1066	CALL MPI_TYPE_COMMIT( type_x_int(i), ierr )
1067
1068
1069	CALL MPI_TYPE_VECTOR( 2, nyn_l-nys_l+5, nyn_l-nys_l+5, MPI_INTEGER, &
1070	type_y_int(i), ierr )
1071	CALL MPI_TYPE_COMMIT( type_y_int(i), ierr )
1072
1073	nxl_l = nxl_l / 2
1074	nxr_l = nxr_l / 2
1075	nys_l = nys_l / 2
1076	nyn_l = nyn_l / 2
1077	nzt_l = nzt_l / 2
1078
1079	ENDDO
1080
1081	ENDIF
1082
1083	#endif
1084
1085	#if defined( __parallel )
1086	!
1087	!-- Setting of flags for inflow/outflow/nesting conditions.
1088	IF ( pleft == MPI_PROC_NULL ) THEN
1089	IF ( bc_lr == 'dirichlet/radiation' .OR. bc_lr == 'nested' .OR. &
1090	bc_lr == 'nesting_offline' ) THEN
1091	bc_dirichlet_l = .TRUE.
1092	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
1093	bc_radiation_l = .TRUE.
1094	ENDIF
1095	ENDIF
1096
1097	IF ( pright == MPI_PROC_NULL ) THEN
1098	IF ( bc_lr == 'dirichlet/radiation' ) THEN
1099	bc_radiation_r = .TRUE.
1100	ELSEIF ( bc_lr == 'radiation/dirichlet' .OR. bc_lr == 'nested' .OR. &
1101	bc_lr == 'nesting_offline' ) THEN
1102	bc_dirichlet_r = .TRUE.
1103	ENDIF
1104	ENDIF
1105
1106	IF ( psouth == MPI_PROC_NULL ) THEN
1107	IF ( bc_ns == 'dirichlet/radiation' ) THEN
1108	bc_radiation_s = .TRUE.
1109	ELSEIF ( bc_ns == 'radiation/dirichlet' .OR. bc_ns == 'nested' .OR. &
1110	bc_ns == 'nesting_offline' ) THEN
1111	bc_dirichlet_s = .TRUE.
1112	ENDIF
1113	ENDIF
1114
1115	IF ( pnorth == MPI_PROC_NULL ) THEN
1116	IF ( bc_ns == 'dirichlet/radiation' .OR. bc_ns == 'nested' .OR. &
1117	bc_ns == 'nesting_offline' ) THEN
1118	bc_dirichlet_n = .TRUE.
1119	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
1120	bc_radiation_n = .TRUE.
1121	ENDIF
1122	ENDIF
1123	!
1124	!-- In case of synthetic turbulence geneartor determine ids.
1125	!-- Please note, if no forcing or nesting is applied, the generator is applied
1126	!-- only at the left lateral boundary.
1127	IF ( use_syn_turb_gen ) THEN
1128	IF ( bc_dirichlet_l ) THEN
1129	id_stg_left_l = myidx
1130	ELSE
1131	id_stg_left_l = 0
1132	ENDIF
1133	IF ( bc_dirichlet_r ) THEN
1134	id_stg_right_l = myidx
1135	ELSE
1136	id_stg_right_l = 0
1137	ENDIF
1138	IF ( bc_dirichlet_s ) THEN
1139	id_stg_south_l = myidy
1140	ELSE
1141	id_stg_south_l = 0
1142	ENDIF
1143	IF ( bc_dirichlet_n ) THEN
1144	id_stg_north_l = myidy
1145	ELSE
1146	id_stg_north_l = 0
1147	ENDIF
1148
1149	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1150	CALL MPI_ALLREDUCE( id_stg_left_l, id_stg_left, 1, MPI_INTEGER, &
1151	MPI_SUM, comm1dx, ierr )
1152
1153	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1154	CALL MPI_ALLREDUCE( id_stg_right_l, id_stg_right, 1, MPI_INTEGER, &
1155	MPI_SUM, comm1dx, ierr )
1156
1157	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1158	CALL MPI_ALLREDUCE( id_stg_south_l, id_stg_south, 1, MPI_INTEGER, &
1159	MPI_SUM, comm1dy, ierr )
1160
1161	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1162	CALL MPI_ALLREDUCE( id_stg_north_l, id_stg_north, 1, MPI_INTEGER, &
1163	MPI_SUM, comm1dy, ierr )
1164
1165	ENDIF
1166
1167	!
1168	!-- Broadcast the id of the inflow PE
1169	IF ( bc_dirichlet_l ) THEN
1170	id_inflow_l = myidx
1171	ELSE
1172	id_inflow_l = 0
1173	ENDIF
1174	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1175	CALL MPI_ALLREDUCE( id_inflow_l, id_inflow, 1, MPI_INTEGER, MPI_SUM, &
1176	comm1dx, ierr )
1177
1178	!
1179	!-- Broadcast the id of the recycling plane
1180	!-- WARNING: needs to be adjusted in case of inflows other than from left side!
1181	IF ( turbulent_inflow ) THEN
1182
1183	IF ( NINT( recycling_width / dx, KIND=idp ) >= nxl .AND. &
1184	NINT( recycling_width / dx, KIND=idp ) <= nxr ) THEN
1185	id_recycling_l = myidx
1186	ELSE
1187	id_recycling_l = 0
1188	ENDIF
1189	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1190	CALL MPI_ALLREDUCE( id_recycling_l, id_recycling, 1, MPI_INTEGER, MPI_SUM, &
1191	comm1dx, ierr )
1192
1193	ENDIF
1194
1195	!
1196	!-- Broadcast the id of the outflow PE and outflow-source plane
1197	IF ( turbulent_outflow ) THEN
1198
1199	IF ( bc_radiation_r ) THEN
1200	id_outflow_l = myidx
1201	ELSE
1202	id_outflow_l = 0
1203	ENDIF
1204	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1205	CALL MPI_ALLREDUCE( id_outflow_l, id_outflow, 1, MPI_INTEGER, MPI_SUM, &
1206	comm1dx, ierr )
1207
1208	IF ( NINT( outflow_source_plane / dx ) >= nxl .AND. &
1209	NINT( outflow_source_plane / dx ) <= nxr ) THEN
1210	id_outflow_source_l = myidx
1211	ELSE
1212	id_outflow_source_l = 0
1213	ENDIF
1214	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1215	CALL MPI_ALLREDUCE( id_outflow_source_l, id_outflow_source, 1, &
1216	MPI_INTEGER, MPI_SUM, comm1dx, ierr )
1217
1218	ENDIF
1219
1220	CALL location_message( 'creating virtual PE grids + MPI derived data types', 'finished' )
1221
1222	#else
1223	IF ( bc_lr == 'dirichlet/radiation' ) THEN
1224	bc_dirichlet_l = .TRUE.
1225	bc_radiation_r = .TRUE.
1226	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
1227	bc_radiation_l = .TRUE.
1228	bc_dirichlet_r = .TRUE.
1229	ENDIF
1230
1231	IF ( bc_ns == 'dirichlet/radiation' ) THEN
1232	bc_dirichlet_n = .TRUE.
1233	bc_radiation_s = .TRUE.
1234	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
1235	bc_radiation_n = .TRUE.
1236	bc_dirichlet_s = .TRUE.
1237	ENDIF
1238	#endif
1239
1240	!
1241	!-- At the inflow or outflow, u or v, respectively, have to be calculated for
1242	!-- one more grid point.
1243	IF ( bc_dirichlet_l .OR. bc_radiation_l ) THEN
1244	nxlu = nxl + 1
1245	ELSE
1246	nxlu = nxl
1247	ENDIF
1248	IF ( bc_dirichlet_s .OR. bc_radiation_s ) THEN
1249	nysv = nys + 1
1250	ELSE
1251	nysv = nys
1252	ENDIF
1253
1254	!
1255	!-- Allocate wall flag arrays used in the multigrid solver
1256	IF ( psolver(1:9) == 'multigrid' ) THEN
1257
1258	DO i = maximum_grid_level, 1, -1
1259
1260	SELECT CASE ( i )
1261
1262	CASE ( 1 )
1263	ALLOCATE( wall_flags_1(nzb:nzt_mg(i)+1, &
1264	nys_mg(i)-1:nyn_mg(i)+1, &
1265	nxl_mg(i)-1:nxr_mg(i)+1) )
1266
1267	CASE ( 2 )
1268	ALLOCATE( wall_flags_2(nzb:nzt_mg(i)+1, &
1269	nys_mg(i)-1:nyn_mg(i)+1, &
1270	nxl_mg(i)-1:nxr_mg(i)+1) )
1271
1272	CASE ( 3 )
1273	ALLOCATE( wall_flags_3(nzb:nzt_mg(i)+1, &
1274	nys_mg(i)-1:nyn_mg(i)+1, &
1275	nxl_mg(i)-1:nxr_mg(i)+1) )
1276
1277	CASE ( 4 )
1278	ALLOCATE( wall_flags_4(nzb:nzt_mg(i)+1, &
1279	nys_mg(i)-1:nyn_mg(i)+1, &
1280	nxl_mg(i)-1:nxr_mg(i)+1) )
1281
1282	CASE ( 5 )
1283	ALLOCATE( wall_flags_5(nzb:nzt_mg(i)+1, &
1284	nys_mg(i)-1:nyn_mg(i)+1, &
1285	nxl_mg(i)-1:nxr_mg(i)+1) )
1286
1287	CASE ( 6 )
1288	ALLOCATE( wall_flags_6(nzb:nzt_mg(i)+1, &
1289	nys_mg(i)-1:nyn_mg(i)+1, &
1290	nxl_mg(i)-1:nxr_mg(i)+1) )
1291
1292	CASE ( 7 )
1293	ALLOCATE( wall_flags_7(nzb:nzt_mg(i)+1, &
1294	nys_mg(i)-1:nyn_mg(i)+1, &
1295	nxl_mg(i)-1:nxr_mg(i)+1) )
1296
1297	CASE ( 8 )
1298	ALLOCATE( wall_flags_8(nzb:nzt_mg(i)+1, &
1299	nys_mg(i)-1:nyn_mg(i)+1, &
1300	nxl_mg(i)-1:nxr_mg(i)+1) )
1301
1302	CASE ( 9 )
1303	ALLOCATE( wall_flags_9(nzb:nzt_mg(i)+1, &
1304	nys_mg(i)-1:nyn_mg(i)+1, &
1305	nxl_mg(i)-1:nxr_mg(i)+1) )
1306
1307	CASE ( 10 )
1308	ALLOCATE( wall_flags_10(nzb:nzt_mg(i)+1, &
1309	nys_mg(i)-1:nyn_mg(i)+1, &
1310	nxl_mg(i)-1:nxr_mg(i)+1) )
1311
1312	CASE DEFAULT
1313	message_string = 'more than 10 multigrid levels'
1314	CALL message( 'init_pegrid', 'PA0238', 1, 2, 0, 6, 0 )
1315
1316	END SELECT
1317
1318	ENDDO
1319
1320	ENDIF
1321
1322	END SUBROUTINE init_pegrid

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