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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 1997-2012 Leibniz University Hannover
18	!--------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! ------------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: pres.f90 1213 2013-08-15 09:03:50Z raasch $
27	!
28	! 1212 2013-08-15 08:46:27Z raasch
29	! call of poisfft_hybrid removed
30	!
31	! 1117 2013-03-27 11:15:36Z suehring
32	! Bugfix in OpenMP parallelization.
33	!
34	! 1113 2013-03-10 02:48:14Z raasch
35	! GPU-porting of several loops, some loops rearranged
36	!
37	! 1111 2013-03-08 23:54:10Z
38	! openACC statements added,
39	! ibc_p_b = 2 removed
40	!
41	! 1092 2013-02-02 11:24:22Z raasch
42	! unused variables removed
43	!
44	! 1036 2012-10-22 13:43:42Z raasch
45	! code put under GPL (PALM 3.9)
46	!
47	! 1003 2012-09-14 14:35:53Z raasch
48	! adjustment of array tend for cases with unequal subdomain sizes removed
49	!
50	! 778 2011-11-07 14:18:25Z fricke
51	! New allocation of tend when multigrid is used and the collected field on PE0
52	! has more grid points than the subdomain of an PE.
53	!
54	! 719 2011-04-06 13:05:23Z gryschka
55	! Bugfix in volume flow control for double cyclic boundary conditions
56	!
57	! 709 2011-03-30 09:31:40Z raasch
58	! formatting adjustments
59	!
60	! 707 2011-03-29 11:39:40Z raasch
61	! Calculation of weighted average of p is now handled in the same way
62	! regardless of the number of ghost layers (advection scheme),
63	! multigrid and sor method are using p_loc for iterative advancements of
64	! pressure,
65	! localsum calculation modified for proper OpenMP reduction,
66	! bc_lr/ns replaced by bc_lr/ns_cyc
67	!
68	! 693 2011-03-08 09:..:..Z raasch
69	! bugfix: weighting coefficient added to ibm branch
70	!
71	! 680 2011-02-04 23:16:06Z gryschka
72	! bugfix: collective_wait
73	!
74	! 675 2011-01-19 10:56:55Z suehring
75	! Removed bugfix while copying tend.
76	!
77	! 673 2011-01-18 16:19:48Z suehring
78	! Weighting coefficients added for right computation of the pressure during
79	! Runge-Kutta substeps.
80	!
81	! 667 2010-12-23 12:06:00Z suehring/gryschka
82	! New allocation of tend when ws-scheme and multigrid is used. This is due to
83	! reasons of perforance of the data_exchange. The same is done with p after
84	! poismg is called.
85	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng when no
86	! multigrid is used. Calls of exchange_horiz are modified.
87	! bugfix: After pressure correction no volume flow correction in case of
88	! non-cyclic boundary conditions
89	! (has to be done only before pressure correction)
90	! Call of SOR routine is referenced with ddzu_pres.
91	!
92	! 622 2010-12-10 08:08:13Z raasch
93	! optional barriers included in order to speed up collective operations
94	!
95	! 151 2008-03-07 13:42:18Z raasch
96	! Bugfix in volume flow control for non-cyclic boundary conditions
97	!
98	! 106 2007-08-16 14:30:26Z raasch
99	! Volume flow conservation added for the remaining three outflow boundaries
100	!
101	! 85 2007-05-11 09:35:14Z raasch
102	! Division through dt_3d replaced by multiplication of the inverse.
103	! For performance optimisation, this is done in the loop calculating the
104	! divergence instead of using a seperate loop.
105	!
106	! 75 2007-03-22 09:54:05Z raasch
107	! Volume flow control for non-cyclic boundary conditions added (currently only
108	! for the north boundary!!), 2nd+3rd argument removed from exchange horiz,
109	! mean vertical velocity is removed in case of Neumann boundary conditions
110	! both at the bottom and the top
111	!
112	! RCS Log replace by Id keyword, revision history cleaned up
113	!
114	! Revision 1.25 2006/04/26 13:26:12 raasch
115	! OpenMP optimization (+localsum, threadsum)
116	!
117	! Revision 1.1 1997/07/24 11:24:44 raasch
118	! Initial revision
119	!
120	!
121	! Description:
122	! ------------
123	! Compute the divergence of the provisional velocity field. Solve the Poisson
124	! equation for the perturbation pressure. Compute the final velocities using
125	! this perturbation pressure. Compute the remaining divergence.
126	!------------------------------------------------------------------------------!
127
128	USE arrays_3d
129	USE constants
130	USE control_parameters
131	USE cpulog
132	USE grid_variables
133	USE indices
134	USE interfaces
135	USE pegrid
136	USE poisfft_mod
137	USE statistics
138
139	IMPLICIT NONE
140
141	INTEGER :: i, j, k
142
143	REAL :: ddt_3d, localsum, threadsum, d_weight_pres
144
145	REAL, DIMENSION(1:2) :: volume_flow_l, volume_flow_offset
146	REAL, DIMENSION(1:nzt) :: w_l, w_l_l
147
148
149	CALL cpu_log( log_point(8), 'pres', 'start' )
150
151
152	ddt_3d = 1.0 / dt_3d
153	d_weight_pres = 1.0 / weight_pres(intermediate_timestep_count)
154
155	!
156	!-- Multigrid method expects array d to have one ghost layer.
157	!--
158	IF ( psolver == 'multigrid' ) THEN
159
160	DEALLOCATE( d )
161	ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
162
163	!
164	!-- Since p is later used to hold the weighted average of the substeps, it
165	!-- cannot be used in the iterative solver. Therefore, its initial value is
166	!-- stored on p_loc, which is then iteratively advanced in every substep.
167	IF ( intermediate_timestep_count == 1 ) THEN
168	DO i = nxl-1, nxr+1
169	DO j = nys-1, nyn+1
170	DO k = nzb, nzt+1
171	p_loc(k,j,i) = p(k,j,i)
172	ENDDO
173	ENDDO
174	ENDDO
175	ENDIF
176
177	ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count == 1 ) THEN
178
179	!
180	!-- Since p is later used to hold the weighted average of the substeps, it
181	!-- cannot be used in the iterative solver. Therefore, its initial value is
182	!-- stored on p_loc, which is then iteratively advanced in every substep.
183	p_loc = p
184
185	ENDIF
186
187	!
188	!-- Conserve the volume flow at the outflow in case of non-cyclic lateral
189	!-- boundary conditions
190	!-- WARNING: so far, this conservation does not work at the left/south
191	!-- boundary if the topography at the inflow differs from that at the
192	!-- outflow! For this case, volume_flow_area needs adjustment!
193	!
194	!-- Left/right
195	IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN
196
197	volume_flow(1) = 0.0
198	volume_flow_l(1) = 0.0
199
200	IF ( outflow_l ) THEN
201	i = 0
202	ELSEIF ( outflow_r ) THEN
203	i = nx+1
204	ENDIF
205
206	DO j = nys, nyn
207	!
208	!-- Sum up the volume flow through the south/north boundary
209	DO k = nzb_2d(j,i)+1, nzt
210	volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k)
211	ENDDO
212	ENDDO
213
214	#if defined( __parallel )
215	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
216	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, &
217	MPI_SUM, comm1dy, ierr )
218	#else
219	volume_flow = volume_flow_l
220	#endif
221	volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) &
222	/ volume_flow_area(1)
223
224	DO j = nysg, nyng
225	DO k = nzb_2d(j,i)+1, nzt
226	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
227	ENDDO
228	ENDDO
229
230	ENDIF
231
232	!
233	!-- South/north
234	IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN
235
236	volume_flow(2) = 0.0
237	volume_flow_l(2) = 0.0
238
239	IF ( outflow_s ) THEN
240	j = 0
241	ELSEIF ( outflow_n ) THEN
242	j = ny+1
243	ENDIF
244
245	DO i = nxl, nxr
246	!
247	!-- Sum up the volume flow through the south/north boundary
248	DO k = nzb_2d(j,i)+1, nzt
249	volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k)
250	ENDDO
251	ENDDO
252
253	#if defined( __parallel )
254	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
255	CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, &
256	MPI_SUM, comm1dx, ierr )
257	#else
258	volume_flow = volume_flow_l
259	#endif
260	volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) &
261	/ volume_flow_area(2)
262
263	DO i = nxlg, nxrg
264	DO k = nzb_v_inner(j,i)+1, nzt
265	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
266	ENDDO
267	ENDDO
268
269	ENDIF
270
271	!
272	!-- Remove mean vertical velocity
273	IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 ) THEN
274	IF ( simulated_time > 0.0 ) THEN ! otherwise nzb_w_inner not yet known
275	w_l = 0.0; w_l_l = 0.0
276	DO i = nxl, nxr
277	DO j = nys, nyn
278	DO k = nzb_w_inner(j,i)+1, nzt
279	w_l_l(k) = w_l_l(k) + w(k,j,i)
280	ENDDO
281	ENDDO
282	ENDDO
283	#if defined( __parallel )
284	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
285	CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, &
286	comm2d, ierr )
287	#else
288	w_l = w_l_l
289	#endif
290	DO k = 1, nzt
291	w_l(k) = w_l(k) / ngp_2dh_outer(k,0)
292	ENDDO
293	DO i = nxlg, nxrg
294	DO j = nysg, nyng
295	DO k = nzb_w_inner(j,i)+1, nzt
296	w(k,j,i) = w(k,j,i) - w_l(k)
297	ENDDO
298	ENDDO
299	ENDDO
300	ENDIF
301	ENDIF
302
303	!
304	!-- Compute the divergence of the provisional velocity field.
305	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
306
307	IF ( psolver == 'multigrid' ) THEN
308	!$OMP PARALLEL DO SCHEDULE( STATIC )
309	DO i = nxl-1, nxr+1
310	DO j = nys-1, nyn+1
311	DO k = nzb, nzt+1
312	d(k,j,i) = 0.0
313	ENDDO
314	ENDDO
315	ENDDO
316	ELSE
317	!$OMP PARALLEL DO SCHEDULE( STATIC )
318	!$acc kernels present( d )
319	!$acc loop
320	DO i = nxl, nxr
321	DO j = nys, nyn
322	!$acc loop vector(32)
323	DO k = nzb+1, nzt
324	d(k,j,i) = 0.0
325	ENDDO
326	ENDDO
327	ENDDO
328	!$acc end kernels
329	ENDIF
330
331	localsum = 0.0
332	threadsum = 0.0
333
334	#if defined( __ibm )
335	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
336	!$OMP DO SCHEDULE( STATIC )
337	DO i = nxl, nxr
338	DO j = nys, nyn
339	DO k = nzb_s_inner(j,i)+1, nzt
340	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
341	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
342	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
343	* d_weight_pres
344	ENDDO
345	!
346	!-- Compute possible PE-sum of divergences for flow_statistics
347	DO k = nzb_s_inner(j,i)+1, nzt
348	threadsum = threadsum + ABS( d(k,j,i) )
349	ENDDO
350
351	ENDDO
352	ENDDO
353
354	localsum = localsum + threadsum * dt_3d * &
355	weight_pres(intermediate_timestep_count)
356
357	!$OMP END PARALLEL
358	#else
359
360	!$OMP PARALLEL PRIVATE (i,j,k)
361	!$OMP DO SCHEDULE( STATIC )
362	!$acc kernels present( d, ddzw, nzb_s_inner, u, v, w )
363	!$acc loop
364	DO i = nxl, nxr
365	DO j = nys, nyn
366	!$acc loop vector(32)
367	DO k = 1, nzt
368	IF ( k > nzb_s_inner(j,i) ) THEN
369	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
370	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
371	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
372	* d_weight_pres
373	ENDIF
374	ENDDO
375	ENDDO
376	ENDDO
377	!$acc end kernels
378	!$OMP END PARALLEL
379
380	!
381	!-- Compute possible PE-sum of divergences for flow_statistics
382	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
383	!$OMP DO SCHEDULE( STATIC )
384	DO i = nxl, nxr
385	DO j = nys, nyn
386	DO k = nzb+1, nzt
387	threadsum = threadsum + ABS( d(k,j,i) )
388	ENDDO
389	ENDDO
390	ENDDO
391	localsum = localsum + threadsum * dt_3d * &
392	weight_pres(intermediate_timestep_count)
393	!$OMP END PARALLEL
394	#endif
395
396	!
397	!-- For completeness, set the divergence sum of all statistic regions to those
398	!-- of the total domain
399	sums_divold_l(0:statistic_regions) = localsum
400
401	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
402
403	!
404	!-- Compute the pressure perturbation solving the Poisson equation
405	IF ( psolver(1:7) == 'poisfft' ) THEN
406
407	!
408	!-- Solve Poisson equation via FFT and solution of tridiagonal matrices
409	IF ( psolver == 'poisfft' ) THEN
410
411	CALL poisfft( d, tend )
412
413	ENDIF
414
415	!
416	!-- Store computed perturbation pressure and set boundary condition in
417	!-- z-direction
418	!$OMP PARALLEL DO
419	!$acc kernels present( d, tend )
420	!$acc loop
421	DO i = nxl, nxr
422	DO j = nys, nyn
423	!$acc loop vector( 32 )
424	DO k = nzb+1, nzt
425	tend(k,j,i) = d(k,j,i)
426	ENDDO
427	ENDDO
428	ENDDO
429	!$acc end kernels
430
431	!
432	!-- Bottom boundary:
433	!-- This condition is only required for internal output. The pressure
434	!-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else.
435	IF ( ibc_p_b == 1 ) THEN
436	!
437	!-- Neumann (dp/dz = 0)
438	!$OMP PARALLEL DO
439	!$acc kernels present( nzb_s_inner, tend )
440	DO i = nxlg, nxrg
441	DO j = nysg, nyng
442	tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i)
443	ENDDO
444	ENDDO
445	!$acc end kernels
446
447	ELSE
448	!
449	!-- Dirichlet
450	!$OMP PARALLEL DO
451	!$acc kernels present( tend )
452	DO i = nxlg, nxrg
453	DO j = nysg, nyng
454	tend(nzb_s_inner(j,i),j,i) = 0.0
455	ENDDO
456	ENDDO
457	!$acc end kernels
458
459	ENDIF
460
461	!
462	!-- Top boundary
463	IF ( ibc_p_t == 1 ) THEN
464	!
465	!-- Neumann
466	!$OMP PARALLEL DO
467	!$acc kernels present( tend )
468	DO i = nxlg, nxrg
469	DO j = nysg, nyng
470	tend(nzt+1,j,i) = tend(nzt,j,i)
471	ENDDO
472	ENDDO
473	!$acc end kernels
474
475	ELSE
476	!
477	!-- Dirichlet
478	!$OMP PARALLEL DO
479	!$acc kernels present( tend )
480	DO i = nxlg, nxrg
481	DO j = nysg, nyng
482	tend(nzt+1,j,i) = 0.0
483	ENDDO
484	ENDDO
485	!$acc end kernels
486
487	ENDIF
488
489	!
490	!-- Exchange boundaries for p
491	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
492	on_device = .TRUE. ! to be removed after complete porting
493	ELSE ! of ghost point exchange
494	!$acc update host( tend )
495	ENDIF
496	CALL exchange_horiz( tend, nbgp )
497	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
498	on_device = .FALSE. ! to be removed after complete porting
499	ELSE ! of ghost point exchange
500	!$acc update device( tend )
501	ENDIF
502
503	ELSEIF ( psolver == 'sor' ) THEN
504
505	!
506	!-- Solve Poisson equation for perturbation pressure using SOR-Red/Black
507	!-- scheme
508	CALL sor( d, ddzu_pres, ddzw, p_loc )
509	tend = p_loc
510
511	ELSEIF ( psolver == 'multigrid' ) THEN
512
513	!
514	!-- Solve Poisson equation for perturbation pressure using Multigrid scheme,
515	!-- array tend is used to store the residuals, logical exchange_mg is used
516	!-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid
517	!-- ( nbgp ghost points ).
518
519	!-- If the number of grid points of the gathered grid, which is collected
520	!-- on PE0, is larger than the number of grid points of an PE, than array
521	!-- tend will be enlarged.
522	IF ( gathered_size > subdomain_size ) THEN
523	DEALLOCATE( tend )
524	ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( &
525	mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,&
526	nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( &
527	mg_switch_to_pe0_level)+1) )
528	ENDIF
529
530	CALL poismg( tend )
531
532	IF ( gathered_size > subdomain_size ) THEN
533	DEALLOCATE( tend )
534	ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
535	ENDIF
536
537	!
538	!-- Restore perturbation pressure on tend because this array is used
539	!-- further below to correct the velocity fields
540	DO i = nxl-1, nxr+1
541	DO j = nys-1, nyn+1
542	DO k = nzb, nzt+1
543	tend(k,j,i) = p_loc(k,j,i)
544	ENDDO
545	ENDDO
546	ENDDO
547
548	ENDIF
549
550	!
551	!-- Store perturbation pressure on array p, used for pressure data output.
552	!-- Ghost layers are added in the output routines (except sor-method: see below)
553	IF ( intermediate_timestep_count == 1 ) THEN
554	!$OMP PARALLEL PRIVATE (i,j,k)
555	!$OMP DO
556	!$acc kernels present( p, tend, weight_substep )
557	!$acc loop
558	DO i = nxl-1, nxr+1
559	DO j = nys-1, nyn+1
560	!$acc loop vector( 32 )
561	DO k = nzb, nzt+1
562	p(k,j,i) = tend(k,j,i) * &
563	weight_substep(intermediate_timestep_count)
564	ENDDO
565	ENDDO
566	ENDDO
567	!$acc end kernels
568	!$OMP END PARALLEL
569
570	ELSE
571	!$OMP PARALLEL PRIVATE (i,j,k)
572	!$OMP DO
573	!$acc kernels present( p, tend, weight_substep )
574	!$acc loop
575	DO i = nxl-1, nxr+1
576	DO j = nys-1, nyn+1
577	!$acc loop vector( 32 )
578	DO k = nzb, nzt+1
579	p(k,j,i) = p(k,j,i) + tend(k,j,i) * &
580	weight_substep(intermediate_timestep_count)
581	ENDDO
582	ENDDO
583	ENDDO
584	!$acc end kernels
585	!$OMP END PARALLEL
586
587	ENDIF
588
589	!
590	!-- SOR-method needs ghost layers for the next timestep
591	IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp )
592
593	!
594	!-- Correction of the provisional velocities with the current perturbation
595	!-- pressure just computed
596	!$acc update host( u, v, w )
597	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN
598	volume_flow_l(1) = 0.0
599	volume_flow_l(2) = 0.0
600	ENDIF
601
602	!$OMP PARALLEL PRIVATE (i,j,k)
603	!$OMP DO
604	!$acc kernels present( ddzu, nzb_u_inner, nzb_v_inner, nzb_w_inner, tend, u, v, w, weight_pres )
605	!$acc loop
606	DO i = nxl, nxr
607	DO j = nys, nyn
608	!$acc loop vector( 32 )
609	DO k = 1, nzt
610	IF ( k > nzb_w_inner(j,i) ) THEN
611	w(k,j,i) = w(k,j,i) - dt_3d * &
612	( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) * &
613	weight_pres(intermediate_timestep_count)
614	ENDIF
615	ENDDO
616	!$acc loop vector( 32 )
617	DO k = 1, nzt
618	IF ( k > nzb_u_inner(j,i) ) THEN
619	u(k,j,i) = u(k,j,i) - dt_3d * &
620	( tend(k,j,i) - tend(k,j,i-1) ) * ddx * &
621	weight_pres(intermediate_timestep_count)
622	ENDIF
623	ENDDO
624	!$acc loop vector( 32 )
625	DO k = 1, nzt
626	IF ( k > nzb_v_inner(j,i) ) THEN
627	v(k,j,i) = v(k,j,i) - dt_3d * &
628	( tend(k,j,i) - tend(k,j-1,i) ) * ddy * &
629	weight_pres(intermediate_timestep_count)
630	ENDIF
631	ENDDO
632
633	ENDDO
634	ENDDO
635	!$acc end kernels
636	!$OMP END PARALLEL
637
638	!
639	!-- Sum up the volume flow through the right and north boundary
640	IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. &
641	nxr == nx ) THEN
642
643	!$OMP PARALLEL PRIVATE (j,k)
644	!$OMP DO
645	DO j = nys, nyn
646	!$OMP CRITICAL
647	DO k = nzb_2d(j,nx) + 1, nzt
648	volume_flow_l(1) = volume_flow_l(1) + u(k,j,nx) * dzw(k)
649	ENDDO
650	!$OMP END CRITICAL
651	ENDDO
652	!$OMP END PARALLEL
653
654	ENDIF
655
656	IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. &
657	nyn == ny ) THEN
658
659	!$OMP PARALLEL PRIVATE (i,k)
660	!$OMP DO
661	DO i = nxl, nxr
662	!$OMP CRITICAL
663	DO k = nzb_2d(ny,i) + 1, nzt
664	volume_flow_l(2) = volume_flow_l(2) + v(k,ny,i) * dzw(k)
665	ENDDO
666	!$OMP END CRITICAL
667	ENDDO
668	!$OMP END PARALLEL
669
670	ENDIF
671
672	!
673	!-- Conserve the volume flow
674	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN
675
676	#if defined( __parallel )
677	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
678	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, &
679	MPI_SUM, comm2d, ierr )
680	#else
681	volume_flow = volume_flow_l
682	#endif
683
684	volume_flow_offset = ( volume_flow_initial - volume_flow ) / &
685	volume_flow_area
686
687	!$OMP PARALLEL PRIVATE (i,j,k)
688	!$OMP DO
689	DO i = nxl, nxr
690	DO j = nys, nyn
691	DO k = nzb_u_inner(j,i) + 1, nzt
692	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
693	ENDDO
694	DO k = nzb_v_inner(j,i) + 1, nzt
695	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
696	ENDDO
697	ENDDO
698	ENDDO
699
700	!$OMP END PARALLEL
701
702	ENDIF
703
704	!
705	!-- Exchange of boundaries for the velocities
706	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
707	on_device = .TRUE. ! to be removed after complete porting
708	ELSE ! of ghost point exchange
709	!$acc update host( u, v, w )
710	ENDIF
711	CALL exchange_horiz( u, nbgp )
712	CALL exchange_horiz( v, nbgp )
713	CALL exchange_horiz( w, nbgp )
714	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
715	on_device = .FALSE. ! to be removed after complete porting
716	ELSE ! of ghost point exchange
717	!$acc update device( u, v, w )
718	ENDIF
719
720	!
721	!-- Compute the divergence of the corrected velocity field,
722	!-- a possible PE-sum is computed in flow_statistics
723	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
724	sums_divnew_l = 0.0
725
726	!
727	!-- d must be reset to zero because it can contain nonzero values below the
728	!-- topography
729	IF ( topography /= 'flat' ) d = 0.0
730
731	localsum = 0.0
732	threadsum = 0.0
733
734	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
735	!$OMP DO SCHEDULE( STATIC )
736	#if defined( __ibm )
737	DO i = nxl, nxr
738	DO j = nys, nyn
739	DO k = nzb_s_inner(j,i)+1, nzt
740	d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
741	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
742	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
743	ENDDO
744	DO k = nzb+1, nzt
745	threadsum = threadsum + ABS( d(k,j,i) )
746	ENDDO
747	ENDDO
748	ENDDO
749	#else
750	!$acc kernels present( d, ddzw, nzb_s_inner, u, v, w )
751	!$acc loop
752	DO i = nxl, nxr
753	DO j = nys, nyn
754	!$acc loop vector( 32 )
755	DO k = 1, nzt
756	IF ( k > nzb_s_inner(j,i) ) THEN
757	d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
758	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
759	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
760	ENDIF
761	ENDDO
762	ENDDO
763	ENDDO
764	!$acc end kernels
765	!
766	!-- Compute possible PE-sum of divergences for flow_statistics
767	DO i = nxl, nxr
768	DO j = nys, nyn
769	DO k = nzb_s_inner(j,i)+1, nzt
770	threadsum = threadsum + ABS( d(k,j,i) )
771	ENDDO
772	ENDDO
773	ENDDO
774	#endif
775
776	localsum = localsum + threadsum
777	!$OMP END PARALLEL
778
779	!
780	!-- For completeness, set the divergence sum of all statistic regions to those
781	!-- of the total domain
782	sums_divnew_l(0:statistic_regions) = localsum
783
784	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
785
786	CALL cpu_log( log_point(8), 'pres', 'stop' )
787
788
789	END SUBROUTINE pres

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