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source: palm/trunk/SOURCE/init_pegrid.f90 @ 75

Last change on this file since 75 was 75, checked in by raasch, 17 years ago
preliminary update for changes concerning non-cyclic boundary conditions
Property svn:keywords set to `Id`
File size: 24.4 KB

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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	! poisfft_init is only called if fft-solver is switched on
9	!
10	! Former revisions:
11	! -----------------
12	! $Id: init_pegrid.f90 75 2007-03-22 09:54:05Z raasch $
13	! RCS Log replace by Id keyword, revision history cleaned up
14	!
15	! Revision 1.28 2006/04/26 13:23:32 raasch
16	! lcmuk does not understand the !$ comment so a cpp-directive is required
17	!
18	! Revision 1.1 1997/07/24 11:15:09 raasch
19	! Initial revision
20	!
21	!
22	! Description:
23	! ------------
24	! Determination of the virtual processor topology (if not prescribed by the
25	! user)and computation of the grid point number and array bounds of the local
26	! domains.
27	!------------------------------------------------------------------------------!
28
29	USE control_parameters
30	USE fft_xy
31	USE indices
32	USE pegrid
33	USE poisfft_mod
34	USE poisfft_hybrid_mod
35	USE statistics
36	USE transpose_indices
37
38
39	IMPLICIT NONE
40
41	INTEGER :: gathered_size, i, ind(5), j, k, maximum_grid_level_l, &
42	mg_switch_to_pe0_level_l, mg_levels_x, mg_levels_y, &
43	mg_levels_z, nnx_y, nnx_z, nny_x, nny_z, nnz_x, nnz_y, &
44	numproc_sqr, nx_total, nxl_l, nxr_l, nyn_l, nys_l, nzb_l, &
45	nzt_l, omp_get_num_threads, subdomain_size
46
47	INTEGER, DIMENSION(:), ALLOCATABLE :: ind_all, nxlf, nxrf, nynf, nysf
48
49	LOGICAL :: found
50
51	!
52	!-- Get the number of OpenMP threads
53	!$OMP PARALLEL
54	#if defined( __lcmuk )
55	threads_per_task = omp_get_num_threads()
56	#else
57	!$ threads_per_task = omp_get_num_threads()
58	#endif
59	!$OMP END PARALLEL
60
61
62	#if defined( __parallel )
63	!
64	!-- Determine the processor topology or check it, if prescribed by the user
65	IF ( npex == -1 .AND. npey == -1 ) THEN
66
67	!
68	!-- Automatic determination of the topology
69	!-- The default on SMP- and cluster-hosts is a 1d-decomposition along x
70	#if defined( __lcmuk )
71	host = 'lcmuk'
72	#endif
73	IF ( host(1:3) == 'ibm' .OR. host(1:3) == 'nec' .OR. &
74	host(1:2) == 'lc' .OR. host(1:3) == 'dec' ) THEN
75
76	pdims(1) = numprocs
77	pdims(2) = 1
78
79	ELSE
80
81	numproc_sqr = SQRT( REAL( numprocs ) )
82	pdims(1) = MAX( numproc_sqr , 1 )
83	DO WHILE ( MOD( numprocs , pdims(1) ) /= 0 )
84	pdims(1) = pdims(1) - 1
85	ENDDO
86	pdims(2) = numprocs / pdims(1)
87
88	ENDIF
89
90	ELSEIF ( npex /= -1 .AND. npey /= -1 ) THEN
91
92	!
93	!-- Prescribed by user. Number of processors on the prescribed topology
94	!-- must be equal to the number of PEs available to the job
95	IF ( ( npex * npey ) /= numprocs ) THEN
96	PRINT*, '+++ init_pegrid:'
97	PRINT, ' number of PEs of the prescribed topology (', npexnpey, &
98	') does not match the number of PEs available to the ', &
99	'job (', numprocs, ')'
100	CALL local_stop
101	ENDIF
102	pdims(1) = npex
103	pdims(2) = npey
104
105	ELSE
106	!
107	!-- If the processor topology is prescribed by the user, the number of
108	!-- PEs must be given in both directions
109	PRINT*, '+++ init_pegrid:'
110	PRINT*, ' if the processor topology is prescribed by the user, ', &
111	'both values of "npex" and "npey" must be given in the ', &
112	'NAMELIST-parameter file'
113	CALL local_stop
114
115	ENDIF
116
117	!
118	!-- The hybrid solver can only be used in case of a 1d-decomposition along x
119	IF ( pdims(2) /= 1 .AND. psolver == 'poisfft_hybrid' ) THEN
120	IF ( myid == 0 ) THEN
121	PRINT, '** init_pegrid: psolver = "poisfft_hybrid" can only be'
122	PRINT*, ' used in case of a 1d-decomposition along x'
123	ENDIF
124	ENDIF
125
126	!
127	!-- If necessary, set horizontal boundary conditions to non-cyclic
128	IF ( bc_lr /= 'cyclic' ) cyclic(1) = .FALSE.
129	IF ( bc_ns /= 'cyclic' ) cyclic(2) = .FALSE.
130
131	!
132	!-- Create the virtual processor grid
133	CALL MPI_CART_CREATE( comm_palm, ndim, pdims, cyclic, reorder, &
134	comm2d, ierr )
135	CALL MPI_COMM_RANK( comm2d, myid, ierr )
136	WRITE (myid_char,'(''_'',I4.4)') myid
137
138	CALL MPI_CART_COORDS( comm2d, myid, ndim, pcoord, ierr )
139	CALL MPI_CART_SHIFT( comm2d, 0, 1, pleft, pright, ierr )
140	CALL MPI_CART_SHIFT( comm2d, 1, 1, psouth, pnorth, ierr )
141
142	!
143	!-- Determine sub-topologies for transpositions
144	!-- Transposition from z to x:
145	remain_dims(1) = .TRUE.
146	remain_dims(2) = .FALSE.
147	CALL MPI_CART_SUB( comm2d, remain_dims, comm1dx, ierr )
148	CALL MPI_COMM_RANK( comm1dx, myidx, ierr )
149	!
150	!-- Transposition from x to y
151	remain_dims(1) = .FALSE.
152	remain_dims(2) = .TRUE.
153	CALL MPI_CART_SUB( comm2d, remain_dims, comm1dy, ierr )
154	CALL MPI_COMM_RANK( comm1dy, myidy, ierr )
155
156
157	!
158	!-- Find a grid (used for array d) which will match the transposition demands
159	IF ( grid_matching == 'strict' ) THEN
160
161	nxa = nx; nya = ny; nza = nz
162
163	ELSE
164
165	found = .FALSE.
166	xn: DO nxa = nx, 2*nx
167	!
168	!-- Meet conditions for nx
169	IF ( MOD( nxa+1, pdims(1) ) /= 0 .OR. &
170	MOD( nxa+1, pdims(2) ) /= 0 ) CYCLE xn
171
172	yn: DO nya = ny, 2*ny
173	!
174	!-- Meet conditions for ny
175	IF ( MOD( nya+1, pdims(2) ) /= 0 .OR. &
176	MOD( nya+1, pdims(1) ) /= 0 ) CYCLE yn
177
178
179	zn: DO nza = nz, 2*nz
180	!
181	!-- Meet conditions for nz
182	IF ( ( MOD( nza, pdims(1) ) /= 0 .AND. pdims(1) /= 1 .AND. &
183	pdims(2) /= 1 ) .OR. &
184	( MOD( nza, pdims(2) ) /= 0 .AND. dt_dosp /= 9999999.9 &
185	) ) THEN
186	CYCLE zn
187	ELSE
188	found = .TRUE.
189	EXIT xn
190	ENDIF
191
192	ENDDO zn
193
194	ENDDO yn
195
196	ENDDO xn
197
198	IF ( .NOT. found ) THEN
199	IF ( myid == 0 ) THEN
200	PRINT*,'+++ init_pegrid: no matching grid for transpositions found'
201	ENDIF
202	CALL local_stop
203	ENDIF
204
205	ENDIF
206
207	!
208	!-- Calculate array bounds in x-direction for every PE.
209	!-- The last PE along x may get less grid points than the others
210	ALLOCATE( nxlf(0:pdims(1)-1), nxrf(0:pdims(1)-1), nynf(0:pdims(2)-1), &
211	nysf(0:pdims(2)-1), nnx_pe(0:pdims(1)-1), nny_pe(0:pdims(2)-1) )
212
213	IF ( MOD( nxa+1 , pdims(1) ) /= 0 ) THEN
214	IF ( myid == 0 ) THEN
215	PRINT*,'+++ x-direction: gridpoint number (',nx+1,') is not an'
216	PRINT*,' integral divisor of the number of proces', &
217	&'sors (', pdims(1),')'
218	ENDIF
219	CALL local_stop
220	ELSE
221	nnx = ( nxa + 1 ) / pdims(1)
222	IF ( nnx*pdims(1) - ( nx + 1) > nnx ) THEN
223	IF ( myid == 0 ) THEN
224	PRINT*,'+++ x-direction: nx does not match the requirements ', &
225	'given by the number of PEs'
226	PRINT*,' used'
227	PRINT,' please use nx = ', nx - ( pdims(1) - ( nnxpdims(1) &
228	- ( nx + 1 ) ) ), ' instead of nx =', nx
229	ENDIF
230	CALL local_stop
231	ENDIF
232	ENDIF
233
234	!
235	!-- Left and right array bounds, number of gridpoints
236	DO i = 0, pdims(1)-1
237	nxlf(i) = i * nnx
238	nxrf(i) = ( i + 1 ) * nnx - 1
239	nnx_pe(i) = MIN( nx, nxrf(i) ) - nxlf(i) + 1
240	ENDDO
241
242	!
243	!-- Calculate array bounds in y-direction for every PE.
244	IF ( MOD( nya+1 , pdims(2) ) /= 0 ) THEN
245	IF ( myid == 0 ) THEN
246	PRINT*,'+++ y-direction: gridpoint number (',ny+1,') is not an'
247	PRINT*,' integral divisor of the number of proces', &
248	&'sors (', pdims(2),')'
249	ENDIF
250	CALL local_stop
251	ELSE
252	nny = ( nya + 1 ) / pdims(2)
253	IF ( nny*pdims(2) - ( ny + 1) > nny ) THEN
254	IF ( myid == 0 ) THEN
255	PRINT*,'+++ x-direction: nx does not match the requirements ', &
256	'given by the number of PEs'
257	PRINT*,' used'
258	PRINT,' please use nx = ', nx - ( pdims(1) - ( nnxpdims(1) &
259	- ( nx + 1 ) ) ), ' instead of nx =', nx
260	ENDIF
261	CALL local_stop
262	ENDIF
263	ENDIF
264
265	!
266	!-- South and north array bounds
267	DO j = 0, pdims(2)-1
268	nysf(j) = j * nny
269	nynf(j) = ( j + 1 ) * nny - 1
270	nny_pe(j) = MIN( ny, nynf(j) ) - nysf(j) + 1
271	ENDDO
272
273	!
274	!-- Local array bounds of the respective PEs
275	nxl = nxlf(pcoord(1))
276	nxra = nxrf(pcoord(1))
277	nxr = MIN( nx, nxra )
278	nys = nysf(pcoord(2))
279	nyna = nynf(pcoord(2))
280	nyn = MIN( ny, nyna )
281	nzb = 0
282	nzta = nza
283	nzt = MIN( nz, nzta )
284	nnz = nza
285
286	!
287	!-- Calculate array bounds and gridpoint numbers for the transposed arrays
288	!-- (needed in the pressure solver)
289	!-- For the transposed arrays, cyclic boundaries as well as top and bottom
290	!-- boundaries are omitted, because they are obstructive to the transposition
291
292	!
293	!-- 1. transposition z --> x
294	!-- This transposition is not neccessary in case of a 1d-decomposition along x,
295	!-- except that the uptream-spline method is switched on
296	IF ( pdims(2) /= 1 .OR. momentum_advec == 'ups-scheme' .OR. &
297	scalar_advec == 'ups-scheme' ) THEN
298
299	IF ( pdims(2) == 1 .AND. ( momentum_advec == 'ups-scheme' .OR. &
300	scalar_advec == 'ups-scheme' ) ) THEN
301	IF ( myid == 0 ) THEN
302	PRINT*,'+++ WARNING: init_pegrid: 1d-decomposition along x ', &
303	&'chosen but nz restrictions may occur'
304	PRINT*,' since ups-scheme is activated'
305	ENDIF
306	ENDIF
307	nys_x = nys
308	nyn_xa = nyna
309	nyn_x = nyn
310	nny_x = nny
311	IF ( MOD( nza , pdims(1) ) /= 0 ) THEN
312	IF ( myid == 0 ) THEN
313	PRINT*,'+++ transposition z --> x:'
314	PRINT*,' nz=',nz,' is not an integral divisior of pdims(1)=', &
315	&pdims(1)
316	ENDIF
317	CALL local_stop
318	ENDIF
319	nnz_x = nza / pdims(1)
320	nzb_x = 1 + myidx * nnz_x
321	nzt_xa = ( myidx + 1 ) * nnz_x
322	nzt_x = MIN( nzt, nzt_xa )
323
324	sendrecvcount_zx = nnx * nny * nnz_x
325
326	ENDIF
327
328	!
329	!-- 2. transposition x --> y
330	nnz_y = nnz_x
331	nzb_y = nzb_x
332	nzt_ya = nzt_xa
333	nzt_y = nzt_x
334	IF ( MOD( nxa+1 , pdims(2) ) /= 0 ) THEN
335	IF ( myid == 0 ) THEN
336	PRINT*,'+++ transposition x --> y:'
337	PRINT*,' nx+1=',nx+1,' is not an integral divisor of ',&
338	&'pdims(2)=',pdims(2)
339	ENDIF
340	CALL local_stop
341	ENDIF
342	nnx_y = (nxa+1) / pdims(2)
343	nxl_y = myidy * nnx_y
344	nxr_ya = ( myidy + 1 ) * nnx_y - 1
345	nxr_y = MIN( nx, nxr_ya )
346
347	sendrecvcount_xy = nnx_y * nny_x * nnz_y
348
349	!
350	!-- 3. transposition y --> z (ELSE: x --> y in case of 1D-decomposition
351	!-- along x)
352	IF ( pdims(2) /= 1 .OR. momentum_advec == 'ups-scheme' .OR. &
353	scalar_advec == 'ups-scheme' ) THEN
354	!
355	!-- y --> z
356	!-- This transposition is not neccessary in case of a 1d-decomposition
357	!-- along x, except that the uptream-spline method is switched on
358	nnx_z = nnx_y
359	nxl_z = nxl_y
360	nxr_za = nxr_ya
361	nxr_z = nxr_y
362	IF ( MOD( nya+1 , pdims(1) ) /= 0 ) THEN
363	IF ( myid == 0 ) THEN
364	PRINT*,'+++ Transposition y --> z:'
365	PRINT*,' ny+1=',ny+1,' is not an integral divisor of ',&
366	&'pdims(1)=',pdims(1)
367	ENDIF
368	CALL local_stop
369	ENDIF
370	nny_z = (nya+1) / pdims(1)
371	nys_z = myidx * nny_z
372	nyn_za = ( myidx + 1 ) * nny_z - 1
373	nyn_z = MIN( ny, nyn_za )
374
375	sendrecvcount_yz = nnx_y * nny_z * nnz_y
376
377	ELSE
378	!
379	!-- x --> y. This condition must be fulfilled for a 1D-decomposition along x
380	IF ( MOD( nya+1 , pdims(1) ) /= 0 ) THEN
381	IF ( myid == 0 ) THEN
382	PRINT*,'+++ Transposition x --> y:'
383	PRINT*,' ny+1=',ny+1,' is not an integral divisor of ',&
384	&'pdims(1)=',pdims(1)
385	ENDIF
386	CALL local_stop
387	ENDIF
388
389	ENDIF
390
391	!
392	!-- Indices for direct transpositions z --> y (used for calculating spectra)
393	IF ( dt_dosp /= 9999999.9 ) THEN
394	IF ( MOD( nza, pdims(2) ) /= 0 ) THEN
395	IF ( myid == 0 ) THEN
396	PRINT*,'+++ Direct transposition z --> y (needed for spectra):'
397	PRINT*,' nz=',nz,' is not an integral divisor of ',&
398	&'pdims(2)=',pdims(2)
399	ENDIF
400	CALL local_stop
401	ELSE
402	nxl_yd = nxl
403	nxr_yda = nxra
404	nxr_yd = nxr
405	nzb_yd = 1 + myidy * ( nza / pdims(2) )
406	nzt_yda = ( myidy + 1 ) * ( nza / pdims(2) )
407	nzt_yd = MIN( nzt, nzt_yda )
408
409	sendrecvcount_zyd = nnx * nny * ( nza / pdims(2) )
410	ENDIF
411	ENDIF
412
413	!
414	!-- Indices for direct transpositions y --> x (they are only possible in case
415	!-- of a 1d-decomposition along x)
416	IF ( pdims(2) == 1 ) THEN
417	nny_x = nny / pdims(1)
418	nys_x = myid * nny_x
419	nyn_xa = ( myid + 1 ) * nny_x - 1
420	nyn_x = MIN( ny, nyn_xa )
421	nzb_x = 1
422	nzt_xa = nza
423	nzt_x = nz
424	sendrecvcount_xy = nnx * nny_x * nza
425	ENDIF
426
427	!
428	!-- Indices for direct transpositions x --> y (they are only possible in case
429	!-- of a 1d-decomposition along y)
430	IF ( pdims(1) == 1 ) THEN
431	nnx_y = nnx / pdims(2)
432	nxl_y = myid * nnx_y
433	nxr_ya = ( myid + 1 ) * nnx_y - 1
434	nxr_y = MIN( nx, nxr_ya )
435	nzb_y = 1
436	nzt_ya = nza
437	nzt_y = nz
438	sendrecvcount_xy = nnx_y * nny * nza
439	ENDIF
440
441	!
442	!-- Arrays for storing the array bounds are needed any more
443	DEALLOCATE( nxlf , nxrf , nynf , nysf )
444
445	#if defined( __print )
446	!
447	!-- Control output
448	IF ( myid == 0 ) THEN
449	PRINT, ' processor topology *'
450	PRINT*, ' '
451	PRINT*, 'myid pcoord left right south north idx idy nxl: nxr',&
452	&' nys: nyn'
453	PRINT*, '------------------------------------------------------------',&
454	&'-----------'
455	WRITE (*,1000) 0, pcoord(1), pcoord(2), pleft, pright, psouth, pnorth, &
456	myidx, myidy, nxl, nxr, nys, nyn
457	1000 FORMAT (I4,2X,'(',I3,',',I3,')',3X,I4,2X,I4,3X,I4,2X,I4,2X,I3,1X,I3, &
458	2(2X,I4,':',I4))
459
460	!
461	!-- Recieve data from the other PEs
462	DO i = 1,numprocs-1
463	CALL MPI_RECV( ibuf, 12, MPI_INTEGER, i, MPI_ANY_TAG, comm2d, status, &
464	ierr )
465	WRITE (*,1000) i, ( ibuf(j) , j = 1,12 )
466	ENDDO
467	ELSE
468
469	!
470	!-- Send data to PE0
471	ibuf(1) = pcoord(1); ibuf(2) = pcoord(2); ibuf(3) = pleft
472	ibuf(4) = pright; ibuf(5) = psouth; ibuf(6) = pnorth; ibuf(7) = myidx
473	ibuf(8) = myidy; ibuf(9) = nxl; ibuf(10) = nxr; ibuf(11) = nys
474	ibuf(12) = nyn
475	CALL MPI_SEND( ibuf, 12, MPI_INTEGER, 0, myid, comm2d, ierr )
476	ENDIF
477	#endif
478
479	#else
480
481	!
482	!-- Array bounds when running on a single PE (respectively a non-parallel
483	!-- machine)
484	nxl = 0
485	nxr = nx
486	nxra = nx
487	nnx = nxr - nxl + 1
488	nys = 0
489	nyn = ny
490	nyna = ny
491	nny = nyn - nys + 1
492	nzb = 0
493	nzt = nz
494	nzta = nz
495	nnz = nz
496
497	!
498	!-- Array bounds for the pressure solver (in the parallel code, these bounds
499	!-- are the ones for the transposed arrays)
500	nys_x = nys
501	nyn_x = nyn
502	nyn_xa = nyn
503	nzb_x = nzb + 1
504	nzt_x = nzt
505	nzt_xa = nzt
506
507	nxl_y = nxl
508	nxr_y = nxr
509	nxr_ya = nxr
510	nzb_y = nzb + 1
511	nzt_y = nzt
512	nzt_ya = nzt
513
514	nxl_z = nxl
515	nxr_z = nxr
516	nxr_za = nxr
517	nys_z = nys
518	nyn_z = nyn
519	nyn_za = nyn
520
521	#endif
522
523	!
524	!-- Calculate number of grid levels necessary for the multigrid poisson solver
525	!-- as well as the gridpoint indices on each level
526	IF ( psolver == 'multigrid' ) THEN
527
528	!
529	!-- First calculate number of possible grid levels for the subdomains
530	mg_levels_x = 1
531	mg_levels_y = 1
532	mg_levels_z = 1
533
534	i = nnx
535	DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 )
536	i = i / 2
537	mg_levels_x = mg_levels_x + 1
538	ENDDO
539
540	j = nny
541	DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 )
542	j = j / 2
543	mg_levels_y = mg_levels_y + 1
544	ENDDO
545
546	k = nnz
547	DO WHILE ( MOD( k, 2 ) == 0 .AND. k /= 2 )
548	k = k / 2
549	mg_levels_z = mg_levels_z + 1
550	ENDDO
551
552	maximum_grid_level = MIN( mg_levels_x, mg_levels_y, mg_levels_z )
553
554	!
555	!-- Find out, if the total domain allows more levels. These additional
556	!-- levels are processed on PE0 only.
557	IF ( numprocs > 1 ) THEN
558	IF ( mg_levels_z > MIN( mg_levels_x, mg_levels_y ) ) THEN
559	mg_switch_to_pe0_level_l = maximum_grid_level
560
561	mg_levels_x = 1
562	mg_levels_y = 1
563
564	i = nx+1
565	DO WHILE ( MOD( i, 2 ) == 0 .AND. i /= 2 )
566	i = i / 2
567	mg_levels_x = mg_levels_x + 1
568	ENDDO
569
570	j = ny+1
571	DO WHILE ( MOD( j, 2 ) == 0 .AND. j /= 2 )
572	j = j / 2
573	mg_levels_y = mg_levels_y + 1
574	ENDDO
575
576	maximum_grid_level_l = MIN( mg_levels_x, mg_levels_y, mg_levels_z )
577
578	IF ( maximum_grid_level_l > mg_switch_to_pe0_level_l ) THEN
579	mg_switch_to_pe0_level_l = maximum_grid_level_l - &
580	mg_switch_to_pe0_level_l + 1
581	ELSE
582	mg_switch_to_pe0_level_l = 0
583	ENDIF
584	ELSE
585	mg_switch_to_pe0_level_l = 0
586	maximum_grid_level_l = maximum_grid_level
587	ENDIF
588
589	!
590	!-- Use switch level calculated above only if it is not pre-defined
591	!-- by user
592	IF ( mg_switch_to_pe0_level == 0 ) THEN
593
594	IF ( mg_switch_to_pe0_level_l /= 0 ) THEN
595	mg_switch_to_pe0_level = mg_switch_to_pe0_level_l
596	maximum_grid_level = maximum_grid_level_l
597	ENDIF
598
599	ELSE
600	!
601	!-- Check pre-defined value and reset to default, if neccessary
602	IF ( mg_switch_to_pe0_level < mg_switch_to_pe0_level_l .OR. &
603	mg_switch_to_pe0_level >= maximum_grid_level_l ) THEN
604	IF ( myid == 0 ) THEN
605	PRINT*, '+++ WARNING init_pegrid: mg_switch_to_pe0_level ', &
606	'out of range and reset to default (=0)'
607	ENDIF
608	mg_switch_to_pe0_level = 0
609	ELSE
610	!
611	!-- Use the largest number of possible levels anyway and recalculate
612	!-- the switch level to this largest number of possible values
613	maximum_grid_level = maximum_grid_level_l
614
615	ENDIF
616	ENDIF
617
618	ENDIF
619
620	ALLOCATE( grid_level_count(maximum_grid_level), &
621	nxl_mg(maximum_grid_level), nxr_mg(maximum_grid_level), &
622	nyn_mg(maximum_grid_level), nys_mg(maximum_grid_level), &
623	nzt_mg(maximum_grid_level) )
624
625	grid_level_count = 0
626	nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzt_l = nzt
627
628	DO i = maximum_grid_level, 1 , -1
629
630	IF ( i == mg_switch_to_pe0_level ) THEN
631	#if defined( __parallel )
632	!
633	!-- Save the grid size of the subdomain at the switch level, because
634	!-- it is needed in poismg.
635	!-- Array bounds of the local subdomain grids are gathered on PE0
636	ind(1) = nxl_l; ind(2) = nxr_l
637	ind(3) = nys_l; ind(4) = nyn_l
638	ind(5) = nzt_l
639	ALLOCATE( ind_all(5*numprocs), mg_loc_ind(5,0:numprocs-1) )
640	CALL MPI_ALLGATHER( ind, 5, MPI_INTEGER, ind_all, 5, &
641	MPI_INTEGER, comm2d, ierr )
642	DO j = 0, numprocs-1
643	DO k = 1, 5
644	mg_loc_ind(k,j) = ind_all(k+j*5)
645	ENDDO
646	ENDDO
647	DEALLOCATE( ind_all )
648	!
649	!-- Calculate the grid size of the total domain gathered on PE0
650	nxr_l = ( nxr_l-nxl_l+1 ) * pdims(1) - 1
651	nxl_l = 0
652	nyn_l = ( nyn_l-nys_l+1 ) * pdims(2) - 1
653	nys_l = 0
654	!
655	!-- The size of this gathered array must not be larger than the
656	!-- array tend, which is used in the multigrid scheme as a temporary
657	!-- array
658	subdomain_size = ( nxr - nxl + 3 ) * ( nyn - nys + 3 ) * &
659	( nzt - nzb + 2 )
660	gathered_size = ( nxr_l - nxl_l + 3 ) * ( nyn_l - nys_l + 3 ) * &
661	( nzt_l - nzb + 2 )
662
663	IF ( gathered_size > subdomain_size ) THEN
664	IF ( myid == 0 ) THEN
665	PRINT*, '+++ init_pegrid: not enough memory for storing ', &
666	'gathered multigrid data on PE0'
667	ENDIF
668	CALL local_stop
669	ENDIF
670	#else
671	PRINT*, '+++ init_pegrid: multigrid gather/scatter impossible ', &
672	'in non parallel mode'
673	CALL local_stop
674	#endif
675	ENDIF
676
677	nxl_mg(i) = nxl_l
678	nxr_mg(i) = nxr_l
679	nys_mg(i) = nys_l
680	nyn_mg(i) = nyn_l
681	nzt_mg(i) = nzt_l
682
683	nxl_l = nxl_l / 2
684	nxr_l = nxr_l / 2
685	nys_l = nys_l / 2
686	nyn_l = nyn_l / 2
687	nzt_l = nzt_l / 2
688	ENDDO
689
690	ELSE
691
692	maximum_grid_level = 1
693
694	ENDIF
695
696	grid_level = maximum_grid_level
697
698	#if defined( __parallel )
699	!
700	!-- Gridpoint number for the exchange of ghost points (y-line for 2D-arrays)
701	ngp_y = nyn - nys + 1
702
703	!
704	!-- Define a new MPI derived datatype for the exchange of ghost points in
705	!-- y-direction for 2D-arrays (line)
706	CALL MPI_TYPE_VECTOR( nxr-nxl+3, 1, ngp_y+2, MPI_REAL, type_x, ierr )
707	CALL MPI_TYPE_COMMIT( type_x, ierr )
708	CALL MPI_TYPE_VECTOR( nxr-nxl+3, 1, ngp_y+2, MPI_INTEGER, type_x_int, ierr )
709	CALL MPI_TYPE_COMMIT( type_x_int, ierr )
710
711	!
712	!-- Calculate gridpoint numbers for the exchange of ghost points along x
713	!-- (yz-plane for 3D-arrays) and define MPI derived data type(s) for the
714	!-- exchange of ghost points in y-direction (xz-plane).
715	!-- Do these calculations for the model grid and (if necessary) also
716	!-- for the coarser grid levels used in the multigrid method
717	ALLOCATE ( ngp_yz(maximum_grid_level), type_xz(maximum_grid_level) )
718
719	nxl_l = nxl; nxr_l = nxr; nys_l = nys; nyn_l = nyn; nzb_l = nzb; nzt_l = nzt
720
721	DO i = maximum_grid_level, 1 , -1
722	ngp_yz(i) = (nzt_l - nzb_l + 2) * (nyn_l - nys_l + 3)
723
724	CALL MPI_TYPE_VECTOR( nxr_l-nxl_l+3, nzt_l-nzb_l+2, ngp_yz(i), &
725	MPI_REAL, type_xz(i), ierr )
726	CALL MPI_TYPE_COMMIT( type_xz(i), ierr )
727
728	nxl_l = nxl_l / 2
729	nxr_l = nxr_l / 2
730	nys_l = nys_l / 2
731	nyn_l = nyn_l / 2
732	nzt_l = nzt_l / 2
733	ENDDO
734	#endif
735
736	#if defined( __parallel )
737	!
738	!-- Setting of flags for inflow/outflow conditions in case of non-cyclic
739	!-- horizontal boundary conditions. Set variables for extending array u (v)
740	!-- by one gridpoint on the left/rightmost (northest/southest) processor
741	IF ( pleft == MPI_PROC_NULL ) THEN
742	IF ( bc_lr == 'dirichlet/radiation' ) THEN
743	inflow_l = .TRUE.
744	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
745	outflow_l = .TRUE.
746	ENDIF
747	ENDIF
748
749	IF ( pright == MPI_PROC_NULL ) THEN
750	IF ( bc_lr == 'dirichlet/radiation' ) THEN
751	outflow_r = .TRUE.
752	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
753	inflow_r = .TRUE.
754	ENDIF
755	ENDIF
756
757	IF ( psouth == MPI_PROC_NULL ) THEN
758	IF ( bc_ns == 'dirichlet/radiation' ) THEN
759	outflow_s = .TRUE.
760	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
761	inflow_s = .TRUE.
762	ENDIF
763	ENDIF
764
765	IF ( pnorth == MPI_PROC_NULL ) THEN
766	IF ( bc_ns == 'dirichlet/radiation' ) THEN
767	inflow_n = .TRUE.
768	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
769	outflow_n = .TRUE.
770	ENDIF
771	ENDIF
772
773	#else
774	IF ( bc_lr == 'dirichlet/radiation' ) THEN
775	inflow_l = .TRUE.
776	outflow_r = .TRUE.
777	ELSEIF ( bc_lr == 'radiation/dirichlet' ) THEN
778	outflow_l = .TRUE.
779	inflow_r = .TRUE.
780	ENDIF
781
782	IF ( bc_ns == 'dirichlet/radiation' ) THEN
783	inflow_n = .TRUE.
784	outflow_s = .TRUE.
785	ELSEIF ( bc_ns == 'radiation/dirichlet' ) THEN
786	outflow_n = .TRUE.
787	inflow_s = .TRUE.
788	ENDIF
789	#endif
790
791	IF ( psolver == 'poisfft_hybrid' ) THEN
792	CALL poisfft_hybrid_ini
793	ELSEIF ( psolver == 'poisfft' ) THEN
794	CALL poisfft_init
795	ENDIF
796
797	END SUBROUTINE init_pegrid

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