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source: palm/trunk/SOURCE/init_pegrid.f90 @ 74

Last change on this file since 74 was 73, checked in by raasch, 18 years ago
preliminary changes for radiation conditions
Property svn:keywords set to `Id`
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1	SUBROUTINE init_pegrid
2
3	!------------------------------------------------------------------------------!
4	! Actual revisions:
5	! -----------------
6	! uxrp, vynp eliminated,
7	! dirichlet/neumann changed to dirichlet/radiation, etc.
8	!
9	! Former revisions:
10	! -----------------
11	! $Id: init_pegrid.f90 73 2007-03-20 08:33:14Z raasch $
12	! RCS Log replace by Id keyword, revision history cleaned up
13	!
14	! Revision 1.28 2006/04/26 13:23:32 raasch
15	! lcmuk does not understand the !$ comment so a cpp-directive is required
16	!
17	! Revision 1.1 1997/07/24 11:15:09 raasch
18	! Initial revision
19	!
20	!
21	! Description:
22	! ------------
23	! Determination of the virtual processor topology (if not prescribed by the
24	! user)and computation of the grid point number and array bounds of the local
25	! domains.
26	!------------------------------------------------------------------------------!
27
28	USE control_parameters
29	USE fft_xy
30	USE indices
31	USE pegrid
32	USE poisfft_mod
33	USE poisfft_hybrid_mod
34	USE statistics
35	USE transpose_indices
36
37
38	IMPLICIT NONE
39
40	INTEGER :: gathered_size, i, ind(5), j, k, maximum_grid_level_l, &
41	mg_switch_to_pe0_level_l, mg_levels_x, mg_levels_y, &
42	mg_levels_z, nnx_y, nnx_z, nny_x, nny_z, nnz_x, nnz_y, &
43	numproc_sqr, nx_total, nxl_l, nxr_l, nyn_l, nys_l, nzb_l, &
44	nzt_l, omp_get_num_threads, subdomain_size
45
46	INTEGER, DIMENSION(:), ALLOCATABLE :: ind_all, nxlf, nxrf, nynf, nysf
47
48	LOGICAL :: found
49
50	!
51	!-- Get the number of OpenMP threads
52	!$OMP PARALLEL
53	#if defined( __lcmuk )
54	threads_per_task = omp_get_num_threads()
55	#else
56	!$ threads_per_task = omp_get_num_threads()
57	#endif
58	!$OMP END PARALLEL
59
60
61	#if defined( __parallel )
62	!
63	!-- Determine the processor topology or check it, if prescribed by the user
64	IF ( npex == -1 .AND. npey == -1 ) THEN
65
66	!
67	!-- Automatic determination of the topology
68	!-- The default on SMP- and cluster-hosts is a 1d-decomposition along x
69	#if defined( __lcmuk )
70	host = 'lcmuk'
71	#endif
72	IF ( host(1:3) == 'ibm' .OR. host(1:3) == 'nec' .OR. &
73	host(1:2) == 'lc' .OR. host(1:3) == 'dec' ) THEN
74
75	pdims(1) = numprocs
76	pdims(2) = 1
77
78	ELSE
79
80	numproc_sqr = SQRT( REAL( numprocs ) )
81	pdims(1) = MAX( numproc_sqr , 1 )
82	DO WHILE ( MOD( numprocs , pdims(1) ) /= 0 )
83	pdims(1) = pdims(1) - 1
84	ENDDO
85	pdims(2) = numprocs / pdims(1)
86
87	ENDIF
88
89	ELSEIF ( npex /= -1 .AND. npey /= -1 ) THEN
90
91	!
92	!-- Prescribed by user. Number of processors on the prescribed topology
93	!-- must be equal to the number of PEs available to the job
94	IF ( ( npex * npey ) /= numprocs ) THEN
95	PRINT*, '+++ init_pegrid:'
96	PRINT, ' number of PEs of the prescribed topology (', npexnpey, &
97	') does not match the number of PEs available to the ', &
98	'job (', numprocs, ')'
99	CALL local_stop
100	ENDIF
101	pdims(1) = npex
102	pdims(2) = npey
103
104	ELSE
105	!
106	!-- If the processor topology is prescribed by the user, the number of
107	!-- PEs must be given in both directions
108	PRINT*, '+++ init_pegrid:'
109	PRINT*, ' if the processor topology is prescribed by the user, ', &
110	'both values of "npex" and "npey" must be given in the ', &
111	'NAMELIST-parameter file'
112	CALL local_stop
113
114	ENDIF
115
116	!
117	!-- The hybrid solver can only be used in case of a 1d-decomposition along x
118	IF ( pdims(2) /= 1 .AND. psolver == 'poisfft_hybrid' ) THEN
119	IF ( myid == 0 ) THEN
120	PRINT, '** init_pegrid: psolver = "poisfft_hybrid" can only be'
121	PRINT*, ' used in case of a 1d-decomposition along x'
122	ENDIF
123	ENDIF
124
125	!
126	!-- If necessary, set horizontal boundary conditions to non-cyclic
127	IF ( bc_lr /= 'cyclic' ) cyclic(1) = .FALSE.
128	IF ( bc_ns /= 'cyclic' ) cyclic(2) = .FALSE.
129
130	!
131	!-- Create the virtual processor grid
132	CALL MPI_CART_CREATE( comm_palm, ndim, pdims, cyclic, reorder, &
133	comm2d, ierr )
134	CALL MPI_COMM_RANK( comm2d, myid, ierr )
135	WRITE (myid_char,'(''_'',I4.4)') myid
136
137	CALL MPI_CART_COORDS( comm2d, myid, ndim, pcoord, ierr )
138	CALL MPI_CART_SHIFT( comm2d, 0, 1, pleft, pright, ierr )
139	CALL MPI_CART_SHIFT( comm2d, 1, 1, psouth, pnorth, ierr )
140
141	!
142	!-- Determine sub-topologies for transpositions
143	!-- Transposition from z to x:
144	remain_dims(1) = .TRUE.
145	remain_dims(2) = .FALSE.
146	CALL MPI_CART_SUB( comm2d, remain_dims, comm1dx, ierr )
147	CALL MPI_COMM_RANK( comm1dx, myidx, ierr )
148	!
149	!-- Transposition from x to y
150	remain_dims(1) = .FALSE.
151	remain_dims(2) = .TRUE.
152	CALL MPI_CART_SUB( comm2d, remain_dims, comm1dy, ierr )
153	CALL MPI_COMM_RANK( comm1dy, myidy, ierr )
154
155
156	!
157	!-- Find a grid (used for array d) which will match the transposition demands
158	IF ( grid_matching == 'strict' ) THEN
159
160	nxa = nx; nya = ny; nza = nz
161
162	ELSE
163
164	found = .FALSE.
165	xn: DO nxa = nx, 2*nx
166	!
167	!-- Meet conditions for nx
168	IF ( MOD( nxa+1, pdims(1) ) /= 0 .OR. &
169	MOD( nxa+1, pdims(2) ) /= 0 ) CYCLE xn
170
171	yn: DO nya = ny, 2*ny
172	!
173	!-- Meet conditions for ny
174	IF ( MOD( nya+1, pdims(2) ) /= 0 .OR. &
175	MOD( nya+1, pdims(1) ) /= 0 ) CYCLE yn
176
177
178	zn: DO nza = nz, 2*nz
179	!
180	!-- Meet conditions for nz
181	IF ( ( MOD( nza, pdims(1) ) /= 0 .AND. pdims(1) /= 1 .AND. &
182	pdims(2) /= 1 ) .OR. &
183	( MOD( nza, pdims(2) ) /= 0 .AND. dt_dosp /= 9999999.9 &
184	) ) THEN
185	CYCLE zn
186	ELSE
187	found = .TRUE.
188	EXIT xn
189	ENDIF
190
191	ENDDO zn
192
193	ENDDO yn
194
195	ENDDO xn
196
197	IF ( .NOT. found ) THEN
198	IF ( myid == 0 ) THEN
199	PRINT*,'+++ init_pegrid: no matching grid for transpositions found'
200	ENDIF
201	CALL local_stop
202	ENDIF
203
204	ENDIF
205
206	!
207	!-- Calculate array bounds in x-direction for every PE.
208	!-- The last PE along x may get less grid points than the others
209	ALLOCATE( nxlf(0:pdims(1)-1), nxrf(0:pdims(1)-1), nynf(0:pdims(2)-1), &
210	nysf(0:pdims(2)-1), nnx_pe(0:pdims(1)-1), nny_pe(0:pdims(2)-1) )
211
212	IF ( MOD( nxa+1 , pdims(1) ) /= 0 ) THEN
213	IF ( myid == 0 ) THEN
214	PRINT*,'+++ x-direction: gridpoint number (',nx+1,') is not an'
215	PRINT*,' integral divisor of the number of proces', &
216	&'sors (', pdims(1),')'
217	ENDIF
218	CALL local_stop
219	ELSE
220	nnx = ( nxa + 1 ) / pdims(1)
221	IF ( nnx*pdims(1) - ( nx + 1) > nnx ) THEN
222	IF ( myid == 0 ) THEN
223	PRINT*,'+++ x-direction: nx does not match the requirements ', &
224	'given by the number of PEs'
225	PRINT*,' used'
226	PRINT,' please use nx = ', nx - ( pdims(1) - ( nnxpdims(1) &
227	- ( nx + 1 ) ) ), ' instead of nx =', nx
228	ENDIF
229	CALL local_stop
230	ENDIF
231	ENDIF
232
233	!
234	!-- Left and right array bounds, number of gridpoints
235	DO i = 0, pdims(1)-1
236	nxlf(i) = i * nnx
237	nxrf(i) = ( i + 1 ) * nnx - 1
238	nnx_pe(i) = MIN( nx, nxrf(i) ) - nxlf(i) + 1
239	ENDDO
240
241	!
242	!-- Calculate array bounds in y-direction for every PE.
243	IF ( MOD( nya+1 , pdims(2) ) /= 0 ) THEN
244	IF ( myid == 0 ) THEN
245	PRINT*,'+++ y-direction: gridpoint number (',ny+1,') is not an'
246	PRINT*,' integral divisor of the number of proces', &
247	&'sors (', pdims(2),')'
248	ENDIF
249	CALL local_stop
250	ELSE
251	nny = ( nya + 1 ) / pdims(2)
252	IF ( nny*pdims(2) - ( ny + 1) > nny ) THEN
253	IF ( myid == 0 ) THEN
254	PRINT*,'+++ x-direction: nx does not match the requirements ', &
255	'given by the number of PEs'
256	PRINT*,' used'
257	PRINT,' please use nx = ', nx - ( pdims(1) - ( nnxpdims(1) &
258	- ( nx + 1 ) ) ), ' instead of nx =', nx
259	ENDIF
260	CALL local_stop
261	ENDIF
262	ENDIF
263
264	!
265	!-- South and north array bounds
266	DO j = 0, pdims(2)-1
267	nysf(j) = j * nny
268	nynf(j) = ( j + 1 ) * nny - 1
269	nny_pe(j) = MIN( ny, nynf(j) ) - nysf(j) + 1
270	ENDDO
271
272	!
273	!-- Local array bounds of the respective PEs
274	nxl = nxlf(pcoord(1))
275	nxra = nxrf(pcoord(1))
276	nxr = MIN( nx, nxra )
277	nys = nysf(pcoord(2))
278	nyna = nynf(pcoord(2))
279	nyn = MIN( ny, nyna )
280	nzb = 0
281	nzta = nza
282	nzt = MIN( nz, nzta )
283	nnz = nza
284
285	!
286	!-- Calculate array bounds and gridpoint numbers for the transposed arrays
287	!-- (needed in the pressure solver)
288	!-- For the transposed arrays, cyclic boundaries as well as top and bottom
289	!-- boundaries are omitted, because they are obstructive to the transposition
290
291	!
292	!-- 1. transposition z --> x
293	!-- This transposition is not neccessary in case of a 1d-decomposition along x,
294	!-- except that the uptream-spline method is switched on
295	IF ( pdims(2) /= 1 .OR. momentum_advec == 'ups-scheme' .OR. &
296	scalar_advec == 'ups-scheme' ) THEN
297
298	IF ( pdims(2) == 1 .AND. ( momentum_advec == 'ups-scheme' .OR. &
299	scalar_advec == 'ups-scheme' ) ) THEN
300	IF ( myid == 0 ) THEN
301	PRINT*,'+++ WARNING: init_pegrid: 1d-decomposition along x ', &
302	&'chosen but nz restrictions may occur'
303	PRINT*,' since ups-scheme is activated'
304	ENDIF
305	ENDIF
306	nys_x = nys
307	nyn_xa = nyna
308	nyn_x = nyn
309	nny_x = nny
310	IF ( MOD( nza , pdims(1) ) /= 0 ) THEN
311	IF ( myid == 0 ) THEN
312	PRINT*,'+++ transposition z --> x:'
313	PRINT*,' nz=',nz,' is not an integral divisior of pdims(1)=', &
314	&pdims(1)
315	ENDIF
316	CALL local_stop
317	ENDIF
318	nnz_x = nza / pdims(1)
319	nzb_x = 1 + myidx * nnz_x
320	nzt_xa = ( myidx + 1 ) * nnz_x
321	nzt_x = MIN( nzt, nzt_xa )
322
323	sendrecvcount_zx = nnx * nny * nnz_x
324
325	ENDIF
326
327	!
328	!-- 2. transposition x --> y
329	nnz_y = nnz_x
330	nzb_y = nzb_x
331	nzt_ya = nzt_xa
332	nzt_y = nzt_x
333	IF ( MOD( nxa+1 , pdims(2) ) /= 0 ) THEN
334	IF ( myid == 0 ) THEN
335	PRINT*,'+++ transposition x --> y:'
336	PRINT*,' nx+1=',nx+1,' is not an integral divisor of ',&
337	&'pdims(2)=',pdims(2)
338	ENDIF
339	CALL local_stop
340	ENDIF
341	nnx_y = (nxa+1) / pdims(2)
342	nxl_y = myidy * nnx_y
343	nxr_ya = ( myidy + 1 ) * nnx_y - 1
344	nxr_y = MIN( nx, nxr_ya )
345
346	sendrecvcount_xy = nnx_y * nny_x * nnz_y
347
348	!
349	!-- 3. transposition y --> z (ELSE: x --> y in case of 1D-decomposition
350	!-- along x)
351	IF ( pdims(2) /= 1 .OR. momentum_advec == 'ups-scheme' .OR. &
352	scalar_advec == 'ups-scheme' ) THEN
353	!
354	!-- y --> z
355	!-- This transposition is not neccessary in case of a 1d-decomposition
356	!-- along x, except that the uptream-spline method is switched on
357	nnx_z = nnx_y
358	nxl_z = nxl_y
359	nxr_za = nxr_ya
360	nxr_z = nxr_y
361	IF ( MOD( nya+1 , pdims(1) ) /= 0 ) THEN
362	IF ( myid == 0 ) THEN
363	PRINT*,'+++ Transposition y --> z:'
364	PRINT*,' ny+1=',ny+1,' is not an integral divisor of ',&
365	&'pdims(1)=',pdims(1)
366	ENDIF
367	CALL local_stop
368	ENDIF
369	nny_z = (nya+1) / pdims(1)
370	nys_z = myidx * nny_z
371	nyn_za = ( myidx + 1 ) * nny_z - 1
372	nyn_z = MIN( ny, nyn_za )
373
374	sendrecvcount_yz = nnx_y * nny_z * nnz_y
375
376	ELSE
377	!
378	!-- x --> y. This condition must be fulfilled for a 1D-decomposition along x
379	IF ( MOD( nya+1 , pdims(1) ) /= 0 ) THEN
380	IF ( myid == 0 ) THEN
381	PRINT*,'+++ Transposition x --> y:'
382	PRINT*,' ny+1=',ny+1,' is not an integral divisor of ',&
383	&'pdims(1)=',pdims(1)
384	ENDIF
385	CALL local_stop
386	ENDIF
387
388	ENDIF
389
390	!
391	!-- Indices for direct transpositions z --> y (used for calculating spectra)
392	IF ( dt_dosp /= 9999999.9 ) THEN
393	IF ( MOD( nza, pdims(2) ) /= 0 ) THEN
394	IF ( myid == 0 ) THEN
395	PRINT*,'+++ Direct transposition z --> y (needed for spectra):'
396	PRINT*,' nz=',nz,' is not an integral divisor of ',&
397	&'pdims(2)=',pdims(2)
398	ENDIF
399	CALL local_stop
400	ELSE
401	nxl_yd = nxl
402	nxr_yda = nxra
403	nxr_yd = nxr
404	nzb_yd = 1 + myidy * ( nza / pdims(2) )
405	nzt_yda = ( myidy + 1 ) * ( nza / pdims(2) )
406	nzt_yd = MIN( nzt, nzt_yda )
407
408	sendrecvcount_zyd = nnx * nny * ( nza / pdims(2) )
409	ENDIF
410	ENDIF
411
412	!
413	!-- Indices for direct transpositions y --> x (they are only possible in case
414	!-- of a 1d-decomposition along x)
415	IF ( pdims(2) == 1 ) THEN
416	nny_x = nny / pdims(1)
417	nys_x = myid * nny_x
418	nyn_xa = ( myid + 1 ) * nny_x - 1
419	nyn_x = MIN( ny, nyn_xa )
420	nzb_x = 1
421	nzt_xa = nza
422	nzt_x = nz
423	sendrecvcount_xy = nnx * nny_x * nza
424	ENDIF
425
426	!
427	!-- Indices for direct transpositions x --> y (they are only possible in case
428	!-- of a 1d-decomposition along y)
429	IF ( pdims(1) == 1 ) THEN
430	nnx_y = nnx / pdims(2)
431	nxl_y = myid * nnx_y
432	nxr_ya = ( myid + 1 ) * nnx_y - 1
433	nxr_y = MIN( nx, nxr_ya )
434	nzb_y = 1
435	nzt_ya = nza
436	nzt_y = nz
437	sendrecvcount_xy = nnx_y * nny * nza
438	ENDIF
439
440	!
441	!-- Arrays for storing the array bounds are needed any more
442	DEALLOCATE( nxlf , nxrf , nynf , nysf )
443
444	#if defined( __print )
445	!
446	!-- Control output
447	IF ( myid == 0 ) THEN
448	PRINT, ' processor topology *'
449	PRINT*, ' '
450	PRINT*, 'myid pcoord left right south north idx idy nxl: nxr',&
451	&' nys: nyn'
452	PRINT*, '------------------------------------------------------------',&
453	&'-----------'
454	WRITE (*,1000) 0, pcoord(1), pcoord(2), pleft, pright, psouth, pnorth, &
455	myidx, myidy, nxl, nxr, nys, nyn
456	1000 FORMAT (I4,2X,'(',I3,',',I3,')',3X,I4,2X,I4,3X,I4,2X,I4,2X,I3,1X,I3, &
457	2(2X,I4,':',I4))
458
459	!
460	!-- Recieve data from the other PEs
461	DO i = 1,numprocs-1
462	CALL MPI_RECV( ibuf, 12, MPI_INTEGER, i, MPI_ANY_TAG, comm2d, status, &
463	ierr )
464	WRITE (*,1000) i, ( ibuf(j) , j = 1,12 )
465	ENDDO
466	ELSE
467
468	!
469	!-- Send data to PE0
470	ibuf(1) = pcoord(1); ibuf(2) = pcoord(2); ibuf(3) = pleft
471	ibuf(4) = pright; ibuf(5) = psouth; ibuf(6) = pnorth; ibuf(7) = myidx
472	ibuf(8) = myidy; ibuf(9) = nxl; ibuf(10) = nxr; ibuf(11) = nys
473	ibuf(12) = nyn
474	CALL MPI_SEND( ibuf, 12, MPI_INTEGER, 0, myid, comm2d, ierr )
475	ENDIF
476	#endif
477
478	#else
479
480	!
481	!-- Array bounds when running on a single PE (respectively a non-parallel
482	!-- machine)
483	nxl = 0
484	nxr = nx
485	nxra = nx
486	nnx = nxr - nxl + 1
487	nys = 0
488	nyn = ny
489	nyna = ny
490	nny = nyn - nys + 1
491	nzb = 0
492	nzt = nz
493	nzta = nz
494	nnz = nz
495
496	!
497	!-- For non-cyclic boundaries extend array u (v) by one gridpoint
498	! IF ( bc_lr /= 'cyclic' ) uxrp = 1
499	! IF ( bc_ns /= 'cyclic' ) vynp = 1
500
501	!
502	!-- Array bounds for the pressure solver (in the parallel code, these bounds
503	!-- are the ones for the transposed arrays)
504	nys_x = nys
505	nyn_x = nyn
506	nyn_xa = nyn
507	nzb_x = nzb + 1
508	nzt_x = nzt
509	nzt_xa = nzt
510
511	nxl_y = nxl
512	nxr_y = nxr
513	nxr_ya = nxr
514	nzb_y = nzb + 1
515	nzt_y = nzt
516	nzt_ya = nzt
517
518	nxl_z = nxl
519	nxr_z = nxr
520	nxr_za = nxr
521	nys_z = nys
522	nyn_z = nyn
523	nyn_za = nyn
524
525	#endif
526
527	!
528	!-- Calculate number of grid levels necessary for the multigrid poisson solver
529	!-- as well as the gridpoint indices on each level
530	IF ( psolver == 'multigrid' ) THEN
531
532	!
533	!-- First calculate number of possible grid levels for the subdomains
534	mg_levels_x = 1
535	mg_levels_y = 1
536	mg_levels_z = 1
537
538	i = nnx
539	DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 )
540	i = i / 2
541	mg_levels_x = mg_levels_x + 1
542	ENDDO
543
544	j = nny
545	DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 )
546	j = j / 2
547	mg_levels_y = mg_levels_y + 1
548	ENDDO
549
550	k = nnz
551	DO WHILE ( MOD( k, 2 ) == 0 .AND. k /= 2 )
552	k = k / 2
553	mg_levels_z = mg_levels_z + 1
554	ENDDO
555
556	maximum_grid_level = MIN( mg_levels_x, mg_levels_y, mg_levels_z )
557
558	!
559	!-- Find out, if the total domain allows more levels. These additional
560	!-- levels are processed on PE0 only.
561	IF ( numprocs > 1 ) THEN
562	IF ( mg_levels_z > MIN( mg_levels_x, mg_levels_y ) ) THEN
563	mg_switch_to_pe0_level_l = maximum_grid_level
564
565	mg_levels_x = 1
566	mg_levels_y = 1
567
568	i = nx+1
569	DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 )
570	i = i / 2
571	mg_levels_x = mg_levels_x + 1
572	ENDDO
573
574	j = ny+1
575	DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 )
576	j = j / 2
577	mg_levels_y = mg_levels_y + 1
578	ENDDO
579
580	maximum_grid_level_l = MIN( mg_levels_x, mg_levels_y, mg_levels_z )
581
582	IF ( maximum_grid_level_l > mg_switch_to_pe0_level_l ) THEN
583	mg_switch_to_pe0_level_l = maximum_grid_level_l - &
584	mg_switch_to_pe0_level_l + 1
585	ELSE
586	mg_switch_to_pe0_level_l = 0
587	ENDIF
588	ELSE
589	mg_switch_to_pe0_level_l = 0
590	maximum_grid_level_l = maximum_grid_level
591	ENDIF
592
593	!
594	!-- Use switch level calculated above only if it is not pre-defined
595	!-- by user
596	IF ( mg_switch_to_pe0_level == 0 ) THEN
597
598	IF ( mg_switch_to_pe0_level_l /= 0 ) THEN
599	mg_switch_to_pe0_level = mg_switch_to_pe0_level_l
600	maximum_grid_level = maximum_grid_level_l
601	ENDIF
602
603	ELSE
604	!
605	!-- Check pre-defined value and reset to default, if neccessary
606	IF ( mg_switch_to_pe0_level < mg_switch_to_pe0_level_l .OR. &
607	mg_switch_to_pe0_level >= maximum_grid_level_l ) THEN
608	IF ( myid == 0 ) THEN
609	PRINT*, '+++ WARNING init_pegrid: mg_switch_to_pe0_level ', &
610	'out of range and reset to default (=0)'
611	ENDIF
612	mg_switch_to_pe0_level = 0
613	ELSE
614	!
615	!-- Use the largest number of possible levels anyway and recalculate
616	!-- the switch level to this largest number of possible values
617	maximum_grid_level = maximum_grid_level_l
618
619	ENDIF
620	ENDIF
621
622	ENDIF
623
624	ALLOCATE( grid_level_count(maximum_grid_level), &
625	nxl_mg(maximum_grid_level), nxr_mg(maximum_grid_level), &
626	nyn_mg(maximum_grid_level), nys_mg(maximum_grid_level), &
627	nzt_mg(maximum_grid_level) )
628
629	grid_level_count = 0
630	nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzt_l = nzt
631
632	DO i = maximum_grid_level, 1 , -1
633
634	IF ( i == mg_switch_to_pe0_level ) THEN
635	#if defined( __parallel )
636	!
637	!-- Save the grid size of the subdomain at the switch level, because
638	!-- it is needed in poismg.
639	!-- Array bounds of the local subdomain grids are gathered on PE0
640	ind(1) = nxl_l; ind(2) = nxr_l
641	ind(3) = nys_l; ind(4) = nyn_l
642	ind(5) = nzt_l
643	ALLOCATE( ind_all(5*numprocs), mg_loc_ind(5,0:numprocs-1) )
644	CALL MPI_ALLGATHER( ind, 5, MPI_INTEGER, ind_all, 5, &
645	MPI_INTEGER, comm2d, ierr )
646	DO j = 0, numprocs-1
647	DO k = 1, 5
648	mg_loc_ind(k,j) = ind_all(k+j*5)
649	ENDDO
650	ENDDO
651	DEALLOCATE( ind_all )
652	!
653	!-- Calculate the grid size of the total domain gathered on PE0
654	nxr_l = ( nxr_l-nxl_l+1 ) * pdims(1) - 1
655	nxl_l = 0
656	nyn_l = ( nyn_l-nys_l+1 ) * pdims(2) - 1
657	nys_l = 0
658	!
659	!-- The size of this gathered array must not be larger than the
660	!-- array tend, which is used in the multigrid scheme as a temporary
661	!-- array
662	subdomain_size = ( nxr - nxl + 3 ) * ( nyn - nys + 3 ) * &
663	( nzt - nzb + 2 )
664	gathered_size = ( nxr_l - nxl_l + 3 ) * ( nyn_l - nys_l + 3 ) * &
665	( nzt_l - nzb + 2 )
666
667	IF ( gathered_size > subdomain_size ) THEN
668	IF ( myid == 0 ) THEN
669	PRINT*, '+++ init_pegrid: not enough memory for storing ', &
670	'gathered multigrid data on PE0'
671	ENDIF
672	CALL local_stop
673	ENDIF
674	#else
675	PRINT*, '+++ init_pegrid: multigrid gather/scatter impossible ', &
676	'in non parallel mode'
677	CALL local_stop
678	#endif
679	ENDIF
680
681	nxl_mg(i) = nxl_l
682	nxr_mg(i) = nxr_l
683	nys_mg(i) = nys_l
684	nyn_mg(i) = nyn_l
685	nzt_mg(i) = nzt_l
686
687	nxl_l = nxl_l / 2
688	nxr_l = nxr_l / 2
689	nys_l = nys_l / 2
690	nyn_l = nyn_l / 2
691	nzt_l = nzt_l / 2
692	ENDDO
693
694	ELSE
695
696	maximum_grid_level = 1
697
698	ENDIF
699
700	grid_level = maximum_grid_level
701
702	#if defined( __parallel )
703	!
704	!-- Gridpoint number for the exchange of ghost points (y-line for 2D-arrays)
705	ngp_y = nyn - nys + 1
706
707	!
708	!-- Define a new MPI derived datatype for the exchange of ghost points in
709	!-- y-direction for 2D-arrays (line)
710	CALL MPI_TYPE_VECTOR( nxr-nxl+3, 1, ngp_y+2, MPI_REAL, type_x, ierr )
711	CALL MPI_TYPE_COMMIT( type_x, ierr )
712	CALL MPI_TYPE_VECTOR( nxr-nxl+3, 1, ngp_y+2, MPI_INTEGER, type_x_int, ierr )
713	CALL MPI_TYPE_COMMIT( type_x_int, ierr )
714
715	!
716	!-- Calculate gridpoint numbers for the exchange of ghost points along x
717	!-- (yz-plane for 3D-arrays) and define MPI derived data type(s) for the
718	!-- exchange of ghost points in y-direction (xz-plane).
719	!-- Do these calculations for the model grid and (if necessary) also
720	!-- for the coarser grid levels used in the multigrid method
721	ALLOCATE ( ngp_yz(maximum_grid_level), type_xz(maximum_grid_level) )
722
723	nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzb_l = nzb; nzt_l = nzt
724
725	DO i = maximum_grid_level, 1 , -1
726	ngp_yz(i) = (nzt_l - nzb_l + 2) * (nyn_l - nys_l + 3)
727
728	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+3, nzt_l-nzb_l+2, ngp_yz(i), &
729	MPI_REAL, type_xz(i), ierr )
730	CALL MPI_TYPE_COMMIT( type_xz(i), ierr )
731
732	nxl_l = nxl_l / 2
733	nxr_l = nxr_l / 2
734	nys_l = nys_l / 2
735	nyn_l = nyn_l / 2
736	nzt_l = nzt_l / 2
737	ENDDO
738	#endif
739
740	#if defined( __parallel )
741	!
742	!-- Setting of flags for inflow/outflow conditions in case of non-cyclic
743	!-- horizontal boundary conditions. Set variables for extending array u (v)
744	!-- by one gridpoint on the left/rightmost (northest/southest) processor
745	IF ( pleft == MPI_PROC_NULL ) THEN
746	IF ( bc_lr == 'dirichlet/radiation' ) THEN
747	inflow_l = .TRUE.
748	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
749	outflow_l = .TRUE.
750	ENDIF
751	ENDIF
752
753	IF ( pright == MPI_PROC_NULL ) THEN
754	IF ( bc_lr == 'dirichlet/radiation' ) THEN
755	outflow_r = .TRUE.
756	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
757	inflow_r = .TRUE.
758	ENDIF
759	! uxrp = 1
760	ENDIF
761
762	IF ( psouth == MPI_PROC_NULL ) THEN
763	IF ( bc_ns == 'dirichlet/radiation' ) THEN
764	outflow_s = .TRUE.
765	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
766	inflow_s = .TRUE.
767	ENDIF
768	ENDIF
769
770	IF ( pnorth == MPI_PROC_NULL ) THEN
771	IF ( bc_ns == 'dirichlet/radiation' ) THEN
772	inflow_n = .TRUE.
773	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
774	outflow_n = .TRUE.
775	ENDIF
776	! vynp = 1
777	ENDIF
778
779	!
780	!-- Additional MPI derived data type for the exchange of ghost points along x
781	!-- needed in case of non-cyclic boundary conditions along y on the northmost
782	!-- processors (for the exchange of the enlarged v array)
783	IF ( bc_ns /= 'cyclic' .AND. pnorth == MPI_PROC_NULL ) THEN
784	ngp_yz_p = ( nzt - nzb + 2 ) * ( nyn + vynp - nys + 3 )
785	CALL MPI_TYPE_VECTOR( nxr-nxl+3, nzt-nzb+2, ngp_yz_p, &
786	MPI_REAL, type_xz_p, ierr )
787	CALL MPI_TYPE_COMMIT( type_xz_p, ierr )
788	ENDIF
789	#else
790	IF ( bc_lr == 'dirichlet/radiation' ) THEN
791	inflow_l = .TRUE.
792	outflow_r = .TRUE.
793	! uxrp = 1
794	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
795	outflow_l = .TRUE.
796	inflow_r = .TRUE.
797	ENDIF
798
799	IF ( bc_ns == 'dirichlet/radiation' ) THEN
800	inflow_n = .TRUE.
801	outflow_s = .TRUE.
802	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
803	outflow_n = .TRUE.
804	inflow_s = .TRUE.
805	! vynp = 1
806	ENDIF
807	#endif
808
809	IF ( psolver == 'poisfft_hybrid' ) THEN
810	CALL poisfft_hybrid_ini
811	ELSE
812	CALL poisfft_init
813	ENDIF
814
815	END SUBROUTINE init_pegrid

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