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source: palm/trunk/SOURCE/pres.f90 @ 1318

Last change on this file since 1318 was 1318, checked in by raasch, 10 years ago
former files/routines cpu_log and cpu_statistics combined to one module, which also includes the former data module cpulog from the modules-file, module interfaces removed
Property svn:keywords set to `Id`
File size: 24.3 KB

Line
1	SUBROUTINE pres
2
3	!--------------------------------------------------------------------------------!
4	! This file is part of PALM.
5	!
6	! PALM is free software: you can redistribute it and/or modify it under the terms
7	! of the GNU General Public License as published by the Free Software Foundation,
8	! either version 3 of the License, or (at your option) any later 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 1997-2014 Leibniz Universitaet Hannover
18	!--------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! ------------------
22	! module interfaces removed
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: pres.f90 1318 2014-03-17 13:35:16Z raasch $
27	!
28	! 1306 2014-03-13 14:30:59Z raasch
29	! second argument removed from routine poisfft
30	!
31	! 1257 2013-11-08 15:18:40Z raasch
32	! openacc loop and loop vector clauses removed, independent clauses added,
33	! end parallel replaced by end parallel loop
34	!
35	! 1221 2013-09-10 08:59:13Z raasch
36	! openACC porting of reduction operations, loops for calculating d are
37	! using the rflags_s_inner multiply flag instead of the nzb_s_inner loop index
38	!
39	! 1212 2013-08-15 08:46:27Z raasch
40	! call of poisfft_hybrid removed
41	!
42	! 1117 2013-03-27 11:15:36Z suehring
43	! Bugfix in OpenMP parallelization.
44	!
45	! 1113 2013-03-10 02:48:14Z raasch
46	! GPU-porting of several loops, some loops rearranged
47	!
48	! 1111 2013-03-08 23:54:10Z
49	! openACC statements added,
50	! ibc_p_b = 2 removed
51	!
52	! 1092 2013-02-02 11:24:22Z raasch
53	! unused variables removed
54	!
55	! 1036 2012-10-22 13:43:42Z raasch
56	! code put under GPL (PALM 3.9)
57	!
58	! 1003 2012-09-14 14:35:53Z raasch
59	! adjustment of array tend for cases with unequal subdomain sizes removed
60	!
61	! 778 2011-11-07 14:18:25Z fricke
62	! New allocation of tend when multigrid is used and the collected field on PE0
63	! has more grid points than the subdomain of an PE.
64	!
65	! 719 2011-04-06 13:05:23Z gryschka
66	! Bugfix in volume flow control for double cyclic boundary conditions
67	!
68	! 709 2011-03-30 09:31:40Z raasch
69	! formatting adjustments
70	!
71	! 707 2011-03-29 11:39:40Z raasch
72	! Calculation of weighted average of p is now handled in the same way
73	! regardless of the number of ghost layers (advection scheme),
74	! multigrid and sor method are using p_loc for iterative advancements of
75	! pressure,
76	! localsum calculation modified for proper OpenMP reduction,
77	! bc_lr/ns replaced by bc_lr/ns_cyc
78	!
79	! 693 2011-03-08 09:..:..Z raasch
80	! bugfix: weighting coefficient added to ibm branch
81	!
82	! 680 2011-02-04 23:16:06Z gryschka
83	! bugfix: collective_wait
84	!
85	! 675 2011-01-19 10:56:55Z suehring
86	! Removed bugfix while copying tend.
87	!
88	! 673 2011-01-18 16:19:48Z suehring
89	! Weighting coefficients added for right computation of the pressure during
90	! Runge-Kutta substeps.
91	!
92	! 667 2010-12-23 12:06:00Z suehring/gryschka
93	! New allocation of tend when ws-scheme and multigrid is used. This is due to
94	! reasons of perforance of the data_exchange. The same is done with p after
95	! poismg is called.
96	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng when no
97	! multigrid is used. Calls of exchange_horiz are modified.
98	! bugfix: After pressure correction no volume flow correction in case of
99	! non-cyclic boundary conditions
100	! (has to be done only before pressure correction)
101	! Call of SOR routine is referenced with ddzu_pres.
102	!
103	! 622 2010-12-10 08:08:13Z raasch
104	! optional barriers included in order to speed up collective operations
105	!
106	! 151 2008-03-07 13:42:18Z raasch
107	! Bugfix in volume flow control for non-cyclic boundary conditions
108	!
109	! 106 2007-08-16 14:30:26Z raasch
110	! Volume flow conservation added for the remaining three outflow boundaries
111	!
112	! 85 2007-05-11 09:35:14Z raasch
113	! Division through dt_3d replaced by multiplication of the inverse.
114	! For performance optimisation, this is done in the loop calculating the
115	! divergence instead of using a seperate loop.
116	!
117	! 75 2007-03-22 09:54:05Z raasch
118	! Volume flow control for non-cyclic boundary conditions added (currently only
119	! for the north boundary!!), 2nd+3rd argument removed from exchange horiz,
120	! mean vertical velocity is removed in case of Neumann boundary conditions
121	! both at the bottom and the top
122	!
123	! RCS Log replace by Id keyword, revision history cleaned up
124	!
125	! Revision 1.25 2006/04/26 13:26:12 raasch
126	! OpenMP optimization (+localsum, threadsum)
127	!
128	! Revision 1.1 1997/07/24 11:24:44 raasch
129	! Initial revision
130	!
131	!
132	! Description:
133	! ------------
134	! Compute the divergence of the provisional velocity field. Solve the Poisson
135	! equation for the perturbation pressure. Compute the final velocities using
136	! this perturbation pressure. Compute the remaining divergence.
137	!------------------------------------------------------------------------------!
138
139	USE arrays_3d
140	USE constants
141	USE control_parameters
142	USE cpulog
143	USE grid_variables
144	USE indices
145	USE pegrid
146	USE poisfft_mod
147	USE statistics
148
149	IMPLICIT NONE
150
151	INTEGER :: i, j, k
152
153	REAL :: ddt_3d, localsum, threadsum, d_weight_pres
154
155	REAL, DIMENSION(1:2) :: volume_flow_l, volume_flow_offset
156	REAL, DIMENSION(1:nzt) :: w_l, w_l_l
157
158
159	CALL cpu_log( log_point(8), 'pres', 'start' )
160
161
162	ddt_3d = 1.0 / dt_3d
163	d_weight_pres = 1.0 / weight_pres(intermediate_timestep_count)
164
165	!
166	!-- Multigrid method expects array d to have one ghost layer.
167	!--
168	IF ( psolver == 'multigrid' ) THEN
169
170	DEALLOCATE( d )
171	ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
172
173	!
174	!-- Since p is later used to hold the weighted average of the substeps, it
175	!-- cannot be used in the iterative solver. Therefore, its initial value is
176	!-- stored on p_loc, which is then iteratively advanced in every substep.
177	IF ( intermediate_timestep_count == 1 ) THEN
178	DO i = nxl-1, nxr+1
179	DO j = nys-1, nyn+1
180	DO k = nzb, nzt+1
181	p_loc(k,j,i) = p(k,j,i)
182	ENDDO
183	ENDDO
184	ENDDO
185	ENDIF
186
187	ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count == 1 ) THEN
188
189	!
190	!-- Since p is later used to hold the weighted average of the substeps, it
191	!-- cannot be used in the iterative solver. Therefore, its initial value is
192	!-- stored on p_loc, which is then iteratively advanced in every substep.
193	p_loc = p
194
195	ENDIF
196
197	!
198	!-- Conserve the volume flow at the outflow in case of non-cyclic lateral
199	!-- boundary conditions
200	!-- WARNING: so far, this conservation does not work at the left/south
201	!-- boundary if the topography at the inflow differs from that at the
202	!-- outflow! For this case, volume_flow_area needs adjustment!
203	!
204	!-- Left/right
205	IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN
206
207	volume_flow(1) = 0.0
208	volume_flow_l(1) = 0.0
209
210	IF ( outflow_l ) THEN
211	i = 0
212	ELSEIF ( outflow_r ) THEN
213	i = nx+1
214	ENDIF
215
216	DO j = nys, nyn
217	!
218	!-- Sum up the volume flow through the south/north boundary
219	DO k = nzb_2d(j,i)+1, nzt
220	volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k)
221	ENDDO
222	ENDDO
223
224	#if defined( __parallel )
225	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
226	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, &
227	MPI_SUM, comm1dy, ierr )
228	#else
229	volume_flow = volume_flow_l
230	#endif
231	volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) &
232	/ volume_flow_area(1)
233
234	DO j = nysg, nyng
235	DO k = nzb_2d(j,i)+1, nzt
236	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
237	ENDDO
238	ENDDO
239
240	ENDIF
241
242	!
243	!-- South/north
244	IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN
245
246	volume_flow(2) = 0.0
247	volume_flow_l(2) = 0.0
248
249	IF ( outflow_s ) THEN
250	j = 0
251	ELSEIF ( outflow_n ) THEN
252	j = ny+1
253	ENDIF
254
255	DO i = nxl, nxr
256	!
257	!-- Sum up the volume flow through the south/north boundary
258	DO k = nzb_2d(j,i)+1, nzt
259	volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k)
260	ENDDO
261	ENDDO
262
263	#if defined( __parallel )
264	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
265	CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, &
266	MPI_SUM, comm1dx, ierr )
267	#else
268	volume_flow = volume_flow_l
269	#endif
270	volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) &
271	/ volume_flow_area(2)
272
273	DO i = nxlg, nxrg
274	DO k = nzb_v_inner(j,i)+1, nzt
275	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
276	ENDDO
277	ENDDO
278
279	ENDIF
280
281	!
282	!-- Remove mean vertical velocity
283	IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 ) THEN
284	IF ( simulated_time > 0.0 ) THEN ! otherwise nzb_w_inner not yet known
285	w_l = 0.0; w_l_l = 0.0
286	DO i = nxl, nxr
287	DO j = nys, nyn
288	DO k = nzb_w_inner(j,i)+1, nzt
289	w_l_l(k) = w_l_l(k) + w(k,j,i)
290	ENDDO
291	ENDDO
292	ENDDO
293	#if defined( __parallel )
294	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
295	CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, &
296	comm2d, ierr )
297	#else
298	w_l = w_l_l
299	#endif
300	DO k = 1, nzt
301	w_l(k) = w_l(k) / ngp_2dh_outer(k,0)
302	ENDDO
303	DO i = nxlg, nxrg
304	DO j = nysg, nyng
305	DO k = nzb_w_inner(j,i)+1, nzt
306	w(k,j,i) = w(k,j,i) - w_l(k)
307	ENDDO
308	ENDDO
309	ENDDO
310	ENDIF
311	ENDIF
312
313	!
314	!-- Compute the divergence of the provisional velocity field.
315	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
316
317	IF ( psolver == 'multigrid' ) THEN
318	!$OMP PARALLEL DO SCHEDULE( STATIC )
319	DO i = nxl-1, nxr+1
320	DO j = nys-1, nyn+1
321	DO k = nzb, nzt+1
322	d(k,j,i) = 0.0
323	ENDDO
324	ENDDO
325	ENDDO
326	ELSE
327	!$OMP PARALLEL DO SCHEDULE( STATIC )
328	!$acc kernels present( d )
329	DO i = nxl, nxr
330	DO j = nys, nyn
331	DO k = nzb+1, nzt
332	d(k,j,i) = 0.0
333	ENDDO
334	ENDDO
335	ENDDO
336	!$acc end kernels
337	ENDIF
338
339	localsum = 0.0
340	threadsum = 0.0
341
342	#if defined( __ibm )
343	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
344	!$OMP DO SCHEDULE( STATIC )
345	DO i = nxl, nxr
346	DO j = nys, nyn
347	DO k = nzb_s_inner(j,i)+1, nzt
348	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
349	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
350	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
351	* d_weight_pres
352	ENDDO
353	!
354	!-- Compute possible PE-sum of divergences for flow_statistics
355	DO k = nzb_s_inner(j,i)+1, nzt
356	threadsum = threadsum + ABS( d(k,j,i) )
357	ENDDO
358
359	ENDDO
360	ENDDO
361
362	localsum = localsum + threadsum * dt_3d * &
363	weight_pres(intermediate_timestep_count)
364
365	!$OMP END PARALLEL
366	#else
367
368	!$OMP PARALLEL PRIVATE (i,j,k)
369	!$OMP DO SCHEDULE( STATIC )
370	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
371	!$acc loop collapse( 3 )
372	DO i = nxl, nxr
373	DO j = nys, nyn
374	DO k = 1, nzt
375	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
376	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
377	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
378	* d_weight_pres * rflags_s_inner(k,j,i)
379	ENDDO
380	ENDDO
381	ENDDO
382	!$acc end kernels
383	!$OMP END PARALLEL
384
385	!
386	!-- Compute possible PE-sum of divergences for flow_statistics
387	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
388	!$OMP DO SCHEDULE( STATIC )
389	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
390	DO i = nxl, nxr
391	DO j = nys, nyn
392	DO k = nzb+1, nzt
393	threadsum = threadsum + ABS( d(k,j,i) )
394	ENDDO
395	ENDDO
396	ENDDO
397	!$acc end parallel loop
398	localsum = localsum + threadsum * dt_3d * &
399	weight_pres(intermediate_timestep_count)
400	!$OMP END PARALLEL
401	#endif
402
403	!
404	!-- For completeness, set the divergence sum of all statistic regions to those
405	!-- of the total domain
406	sums_divold_l(0:statistic_regions) = localsum
407
408	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
409
410	!
411	!-- Compute the pressure perturbation solving the Poisson equation
412	IF ( psolver(1:7) == 'poisfft' ) THEN
413
414	!
415	!-- Solve Poisson equation via FFT and solution of tridiagonal matrices
416	IF ( psolver == 'poisfft' ) THEN
417
418	CALL poisfft( d )
419
420	ENDIF
421
422	!
423	!-- Store computed perturbation pressure and set boundary condition in
424	!-- z-direction
425	!$OMP PARALLEL DO
426	!$acc kernels present( d, tend )
427	DO i = nxl, nxr
428	DO j = nys, nyn
429	DO k = nzb+1, nzt
430	tend(k,j,i) = d(k,j,i)
431	ENDDO
432	ENDDO
433	ENDDO
434	!$acc end kernels
435
436	!
437	!-- Bottom boundary:
438	!-- This condition is only required for internal output. The pressure
439	!-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else.
440	IF ( ibc_p_b == 1 ) THEN
441	!
442	!-- Neumann (dp/dz = 0)
443	!$OMP PARALLEL DO
444	!$acc kernels present( nzb_s_inner, tend )
445	DO i = nxlg, nxrg
446	DO j = nysg, nyng
447	tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i)
448	ENDDO
449	ENDDO
450	!$acc end kernels
451
452	ELSE
453	!
454	!-- Dirichlet
455	!$OMP PARALLEL DO
456	!$acc kernels present( tend )
457	DO i = nxlg, nxrg
458	DO j = nysg, nyng
459	tend(nzb_s_inner(j,i),j,i) = 0.0
460	ENDDO
461	ENDDO
462	!$acc end kernels
463
464	ENDIF
465
466	!
467	!-- Top boundary
468	IF ( ibc_p_t == 1 ) THEN
469	!
470	!-- Neumann
471	!$OMP PARALLEL DO
472	!$acc kernels present( tend )
473	DO i = nxlg, nxrg
474	DO j = nysg, nyng
475	tend(nzt+1,j,i) = tend(nzt,j,i)
476	ENDDO
477	ENDDO
478	!$acc end kernels
479
480	ELSE
481	!
482	!-- Dirichlet
483	!$OMP PARALLEL DO
484	!$acc kernels present( tend )
485	DO i = nxlg, nxrg
486	DO j = nysg, nyng
487	tend(nzt+1,j,i) = 0.0
488	ENDDO
489	ENDDO
490	!$acc end kernels
491
492	ENDIF
493
494	!
495	!-- Exchange boundaries for p
496	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
497	on_device = .TRUE. ! to be removed after complete porting
498	ELSE ! of ghost point exchange
499	!$acc update host( tend )
500	ENDIF
501	CALL exchange_horiz( tend, nbgp )
502	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
503	on_device = .FALSE. ! to be removed after complete porting
504	ELSE ! of ghost point exchange
505	!$acc update device( tend )
506	ENDIF
507
508	ELSEIF ( psolver == 'sor' ) THEN
509
510	!
511	!-- Solve Poisson equation for perturbation pressure using SOR-Red/Black
512	!-- scheme
513	CALL sor( d, ddzu_pres, ddzw, p_loc )
514	tend = p_loc
515
516	ELSEIF ( psolver == 'multigrid' ) THEN
517
518	!
519	!-- Solve Poisson equation for perturbation pressure using Multigrid scheme,
520	!-- array tend is used to store the residuals, logical exchange_mg is used
521	!-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid
522	!-- ( nbgp ghost points ).
523
524	!-- If the number of grid points of the gathered grid, which is collected
525	!-- on PE0, is larger than the number of grid points of an PE, than array
526	!-- tend will be enlarged.
527	IF ( gathered_size > subdomain_size ) THEN
528	DEALLOCATE( tend )
529	ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( &
530	mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,&
531	nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( &
532	mg_switch_to_pe0_level)+1) )
533	ENDIF
534
535	CALL poismg( tend )
536
537	IF ( gathered_size > subdomain_size ) THEN
538	DEALLOCATE( tend )
539	ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
540	ENDIF
541
542	!
543	!-- Restore perturbation pressure on tend because this array is used
544	!-- further below to correct the velocity fields
545	DO i = nxl-1, nxr+1
546	DO j = nys-1, nyn+1
547	DO k = nzb, nzt+1
548	tend(k,j,i) = p_loc(k,j,i)
549	ENDDO
550	ENDDO
551	ENDDO
552
553	ENDIF
554
555	!
556	!-- Store perturbation pressure on array p, used for pressure data output.
557	!-- Ghost layers are added in the output routines (except sor-method: see below)
558	IF ( intermediate_timestep_count == 1 ) THEN
559	!$OMP PARALLEL PRIVATE (i,j,k)
560	!$OMP DO
561	!$acc kernels present( p, tend, weight_substep )
562	!$acc loop independent
563	DO i = nxl-1, nxr+1
564	!$acc loop independent
565	DO j = nys-1, nyn+1
566	!$acc loop independent
567	DO k = nzb, nzt+1
568	p(k,j,i) = tend(k,j,i) * &
569	weight_substep(intermediate_timestep_count)
570	ENDDO
571	ENDDO
572	ENDDO
573	!$acc end kernels
574	!$OMP END PARALLEL
575
576	ELSE
577	!$OMP PARALLEL PRIVATE (i,j,k)
578	!$OMP DO
579	!$acc kernels present( p, tend, weight_substep )
580	!$acc loop independent
581	DO i = nxl-1, nxr+1
582	!$acc loop independent
583	DO j = nys-1, nyn+1
584	!$acc loop independent
585	DO k = nzb, nzt+1
586	p(k,j,i) = p(k,j,i) + tend(k,j,i) * &
587	weight_substep(intermediate_timestep_count)
588	ENDDO
589	ENDDO
590	ENDDO
591	!$acc end kernels
592	!$OMP END PARALLEL
593
594	ENDIF
595
596	!
597	!-- SOR-method needs ghost layers for the next timestep
598	IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp )
599
600	!
601	!-- Correction of the provisional velocities with the current perturbation
602	!-- pressure just computed
603	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN
604	volume_flow_l(1) = 0.0
605	volume_flow_l(2) = 0.0
606	ENDIF
607
608	!$OMP PARALLEL PRIVATE (i,j,k)
609	!$OMP DO
610	!$acc kernels present( ddzu, nzb_u_inner, nzb_v_inner, nzb_w_inner, tend, u, v, w, weight_pres )
611	!$acc loop independent
612	DO i = nxl, nxr
613	!$acc loop independent
614	DO j = nys, nyn
615	!$acc loop independent
616	DO k = 1, nzt
617	IF ( k > nzb_w_inner(j,i) ) THEN
618	w(k,j,i) = w(k,j,i) - dt_3d * &
619	( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) * &
620	weight_pres(intermediate_timestep_count)
621	ENDIF
622	ENDDO
623	!$acc loop independent
624	DO k = 1, nzt
625	IF ( k > nzb_u_inner(j,i) ) THEN
626	u(k,j,i) = u(k,j,i) - dt_3d * &
627	( tend(k,j,i) - tend(k,j,i-1) ) * ddx * &
628	weight_pres(intermediate_timestep_count)
629	ENDIF
630	ENDDO
631	!$acc loop independent
632	DO k = 1, nzt
633	IF ( k > nzb_v_inner(j,i) ) THEN
634	v(k,j,i) = v(k,j,i) - dt_3d * &
635	( tend(k,j,i) - tend(k,j-1,i) ) * ddy * &
636	weight_pres(intermediate_timestep_count)
637	ENDIF
638	ENDDO
639
640	ENDDO
641	ENDDO
642	!$acc end kernels
643	!$OMP END PARALLEL
644
645	!
646	!-- Sum up the volume flow through the right and north boundary
647	IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. &
648	nxr == nx ) THEN
649
650	!$OMP PARALLEL PRIVATE (j,k)
651	!$OMP DO
652	DO j = nys, nyn
653	!$OMP CRITICAL
654	DO k = nzb_2d(j,nx) + 1, nzt
655	volume_flow_l(1) = volume_flow_l(1) + u(k,j,nx) * dzw(k)
656	ENDDO
657	!$OMP END CRITICAL
658	ENDDO
659	!$OMP END PARALLEL
660
661	ENDIF
662
663	IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. &
664	nyn == ny ) THEN
665
666	!$OMP PARALLEL PRIVATE (i,k)
667	!$OMP DO
668	DO i = nxl, nxr
669	!$OMP CRITICAL
670	DO k = nzb_2d(ny,i) + 1, nzt
671	volume_flow_l(2) = volume_flow_l(2) + v(k,ny,i) * dzw(k)
672	ENDDO
673	!$OMP END CRITICAL
674	ENDDO
675	!$OMP END PARALLEL
676
677	ENDIF
678
679	!
680	!-- Conserve the volume flow
681	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN
682
683	#if defined( __parallel )
684	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
685	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, &
686	MPI_SUM, comm2d, ierr )
687	#else
688	volume_flow = volume_flow_l
689	#endif
690
691	volume_flow_offset = ( volume_flow_initial - volume_flow ) / &
692	volume_flow_area
693
694	!$OMP PARALLEL PRIVATE (i,j,k)
695	!$OMP DO
696	DO i = nxl, nxr
697	DO j = nys, nyn
698	DO k = nzb_u_inner(j,i) + 1, nzt
699	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
700	ENDDO
701	DO k = nzb_v_inner(j,i) + 1, nzt
702	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
703	ENDDO
704	ENDDO
705	ENDDO
706
707	!$OMP END PARALLEL
708
709	ENDIF
710
711	!
712	!-- Exchange of boundaries for the velocities
713	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
714	on_device = .TRUE. ! to be removed after complete porting
715	ELSE ! of ghost point exchange
716	!$acc update host( u, v, w )
717	ENDIF
718	CALL exchange_horiz( u, nbgp )
719	CALL exchange_horiz( v, nbgp )
720	CALL exchange_horiz( w, nbgp )
721	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
722	on_device = .FALSE. ! to be removed after complete porting
723	ELSE ! of ghost point exchange
724	!$acc update device( u, v, w )
725	ENDIF
726
727	!
728	!-- Compute the divergence of the corrected velocity field,
729	!-- a possible PE-sum is computed in flow_statistics
730	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
731	sums_divnew_l = 0.0
732
733	!
734	!-- d must be reset to zero because it can contain nonzero values below the
735	!-- topography
736	IF ( topography /= 'flat' ) d = 0.0
737
738	localsum = 0.0
739	threadsum = 0.0
740
741	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
742	!$OMP DO SCHEDULE( STATIC )
743	#if defined( __ibm )
744	DO i = nxl, nxr
745	DO j = nys, nyn
746	DO k = nzb_s_inner(j,i)+1, nzt
747	d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
748	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
749	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
750	ENDDO
751	DO k = nzb+1, nzt
752	threadsum = threadsum + ABS( d(k,j,i) )
753	ENDDO
754	ENDDO
755	ENDDO
756	#else
757	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
758	!$acc loop collapse( 3 )
759	DO i = nxl, nxr
760	DO j = nys, nyn
761	DO k = 1, nzt
762	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
763	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
764	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
765	) * rflags_s_inner(k,j,i)
766	ENDDO
767	ENDDO
768	ENDDO
769	!$acc end kernels
770	!
771	!-- Compute possible PE-sum of divergences for flow_statistics
772	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
773	DO i = nxl, nxr
774	DO j = nys, nyn
775	DO k = nzb+1, nzt
776	threadsum = threadsum + ABS( d(k,j,i) )
777	ENDDO
778	ENDDO
779	ENDDO
780	!$acc end parallel loop
781	#endif
782
783	localsum = localsum + threadsum
784	!$OMP END PARALLEL
785
786	!
787	!-- For completeness, set the divergence sum of all statistic regions to those
788	!-- of the total domain
789	sums_divnew_l(0:statistic_regions) = localsum
790
791	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
792
793	CALL cpu_log( log_point(8), 'pres', 'stop' )
794
795
796	END SUBROUTINE pres

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