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source: palm/trunk/SOURCE/pres.f90 @ 1329

Last change on this file since 1329 was 1321, checked in by raasch, 10 years ago
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[1]	1	SUBROUTINE pres
	2
[1036]	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	!
[1310]	17	! Copyright 1997-2014 Leibniz Universitaet Hannover
[1036]	18	!--------------------------------------------------------------------------------!
	19	!
[484]	20	! Current revisions:
[1212]	21	! ------------------
[1321]	22	!
	23	!
	24	! Former revisions:
	25	! -----------------
	26	! $Id: pres.f90 1321 2014-03-20 09:40:40Z raasch $
	27	!
	28	! 1320 2014-03-20 08:40:49Z raasch
[1320]	29	! ONLY-attribute added to USE-statements,
	30	! kind-parameters added to all INTEGER and REAL declaration statements,
	31	! kinds are defined in new module kinds,
	32	! old module precision_kind is removed,
	33	! revision history before 2012 removed,
	34	! comment fields (!:) to be used for variable explanations added to
	35	! all variable declaration statements
[708]	36	!
[1319]	37	! 1318 2014-03-17 13:35:16Z raasch
	38	! module interfaces removed
	39	!
[1307]	40	! 1306 2014-03-13 14:30:59Z raasch
	41	! second argument removed from routine poisfft
	42	!
[1258]	43	! 1257 2013-11-08 15:18:40Z raasch
	44	! openacc loop and loop vector clauses removed, independent clauses added,
	45	! end parallel replaced by end parallel loop
	46	!
[1222]	47	! 1221 2013-09-10 08:59:13Z raasch
	48	! openACC porting of reduction operations, loops for calculating d are
	49	! using the rflags_s_inner multiply flag instead of the nzb_s_inner loop index
	50	!
[1213]	51	! 1212 2013-08-15 08:46:27Z raasch
	52	! call of poisfft_hybrid removed
	53	!
[1118]	54	! 1117 2013-03-27 11:15:36Z suehring
	55	! Bugfix in OpenMP parallelization.
	56	!
[1114]	57	! 1113 2013-03-10 02:48:14Z raasch
	58	! GPU-porting of several loops, some loops rearranged
	59	!
[1112]	60	! 1111 2013-03-08 23:54:10Z
	61	! openACC statements added,
	62	! ibc_p_b = 2 removed
	63	!
[1093]	64	! 1092 2013-02-02 11:24:22Z raasch
	65	! unused variables removed
	66	!
[1037]	67	! 1036 2012-10-22 13:43:42Z raasch
	68	! code put under GPL (PALM 3.9)
	69	!
[1004]	70	! 1003 2012-09-14 14:35:53Z raasch
	71	! adjustment of array tend for cases with unequal subdomain sizes removed
	72	!
[1]	73	! Revision 1.1 1997/07/24 11:24:44 raasch
	74	! Initial revision
	75	!
	76	!
	77	! Description:
	78	! ------------
	79	! Compute the divergence of the provisional velocity field. Solve the Poisson
	80	! equation for the perturbation pressure. Compute the final velocities using
	81	! this perturbation pressure. Compute the remaining divergence.
	82	!------------------------------------------------------------------------------!
	83
[1320]	84	USE arrays_3d, &
	85	ONLY: d, ddzu, ddzu_pres, ddzw, dzw, p, p_loc, tend, u, v, w
	86
	87	USE control_parameters, &
	88	ONLY: bc_lr_cyc, bc_ns_cyc, conserve_volume_flow, dt_3d, &
	89	gathered_size, ibc_p_b, ibc_p_t, intermediate_timestep_count, &
	90	mg_switch_to_pe0_level, on_device, outflow_l, outflow_n, &
	91	outflow_r, outflow_s, psolver, simulated_time, subdomain_size, &
	92	topography, volume_flow, volume_flow_area, volume_flow_initial
	93
	94	USE cpulog, &
	95	ONLY: cpu_log, log_point, log_point_s
	96
	97	USE grid_variables, &
	98	ONLY: ddx, ddy
	99
	100	USE indices, &
	101	ONLY: nbgp, ngp_2dh_outer, nx, nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, &
	102	ny, nys, nysg, nys_mg, nyn, nyng, nyn_mg, nzb, nzb_s_inner, &
	103	nzb_u_inner, nzb_v_inner, nzb_w_inner, nzb_2d, nzt, nzt_mg, &
	104	rflags_s_inner
	105
	106	USE kinds
	107
[1]	108	USE pegrid
	109
[1320]	110	USE poisfft_mod, &
	111	ONLY: poisfft
	112
	113	USE statistics, &
	114	ONLY: statistic_regions, sums_divnew_l, sums_divold_l, weight_pres, &
	115	weight_substep
	116
[1]	117	IMPLICIT NONE
	118
[1320]	119	INTEGER(iwp) :: i !:
	120	INTEGER(iwp) :: j !:
	121	INTEGER(iwp) :: k !:
[1]	122
[1320]	123	REAL(wp) :: ddt_3d !:
	124	REAL(wp) :: localsum !:
	125	REAL(wp) :: threadsum !:
	126	REAL(wp) :: d_weight_pres !:
[1]	127
[1320]	128	REAL(wp), DIMENSION(1:2) :: volume_flow_l !:
	129	REAL(wp), DIMENSION(1:2) :: volume_flow_offset !:
	130	REAL(wp), DIMENSION(1:nzt) :: w_l !:
	131	REAL(wp), DIMENSION(1:nzt) :: w_l_l !:
[1]	132
	133
	134	CALL cpu_log( log_point(8), 'pres', 'start' )
	135
[85]	136
	137	ddt_3d = 1.0 / dt_3d
[709]	138	d_weight_pres = 1.0 / weight_pres(intermediate_timestep_count)
[85]	139
[1]	140	!
[707]	141	!-- Multigrid method expects array d to have one ghost layer.
	142	!--
[1]	143	IF ( psolver == 'multigrid' ) THEN
[667]	144
[1]	145	DEALLOCATE( d )
[667]	146	ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
[707]	147
	148	!
	149	!-- Since p is later used to hold the weighted average of the substeps, it
	150	!-- cannot be used in the iterative solver. Therefore, its initial value is
	151	!-- stored on p_loc, which is then iteratively advanced in every substep.
	152	IF ( intermediate_timestep_count == 1 ) THEN
	153	DO i = nxl-1, nxr+1
	154	DO j = nys-1, nyn+1
	155	DO k = nzb, nzt+1
	156	p_loc(k,j,i) = p(k,j,i)
	157	ENDDO
	158	ENDDO
	159	ENDDO
[667]	160	ENDIF
	161
[707]	162	ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count == 1 ) THEN
	163
	164	!
	165	!-- Since p is later used to hold the weighted average of the substeps, it
	166	!-- cannot be used in the iterative solver. Therefore, its initial value is
	167	!-- stored on p_loc, which is then iteratively advanced in every substep.
	168	p_loc = p
	169
[1]	170	ENDIF
	171
	172	!
[75]	173	!-- Conserve the volume flow at the outflow in case of non-cyclic lateral
	174	!-- boundary conditions
[106]	175	!-- WARNING: so far, this conservation does not work at the left/south
	176	!-- boundary if the topography at the inflow differs from that at the
	177	!-- outflow! For this case, volume_flow_area needs adjustment!
	178	!
	179	!-- Left/right
[709]	180	IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN
[680]	181
[106]	182	volume_flow(1) = 0.0
	183	volume_flow_l(1) = 0.0
	184
	185	IF ( outflow_l ) THEN
	186	i = 0
	187	ELSEIF ( outflow_r ) THEN
	188	i = nx+1
	189	ENDIF
	190
	191	DO j = nys, nyn
	192	!
	193	!-- Sum up the volume flow through the south/north boundary
[709]	194	DO k = nzb_2d(j,i)+1, nzt
[667]	195	volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k)
[106]	196	ENDDO
	197	ENDDO
	198
	199	#if defined( __parallel )
[680]	200	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
[106]	201	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, &
	202	MPI_SUM, comm1dy, ierr )
	203	#else
	204	volume_flow = volume_flow_l
	205	#endif
[709]	206	volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) &
[106]	207	/ volume_flow_area(1)
	208
[667]	209	DO j = nysg, nyng
[709]	210	DO k = nzb_2d(j,i)+1, nzt
[106]	211	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
	212	ENDDO
	213	ENDDO
	214
	215	ENDIF
	216
	217	!
	218	!-- South/north
[709]	219	IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN
[106]	220
[75]	221	volume_flow(2) = 0.0
	222	volume_flow_l(2) = 0.0
	223
[106]	224	IF ( outflow_s ) THEN
	225	j = 0
	226	ELSEIF ( outflow_n ) THEN
[75]	227	j = ny+1
[106]	228	ENDIF
	229
	230	DO i = nxl, nxr
[75]	231	!
[106]	232	!-- Sum up the volume flow through the south/north boundary
[709]	233	DO k = nzb_2d(j,i)+1, nzt
[667]	234	volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k)
[75]	235	ENDDO
[106]	236	ENDDO
	237
[75]	238	#if defined( __parallel )
[680]	239	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
[75]	240	CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, &
	241	MPI_SUM, comm1dx, ierr )
	242	#else
	243	volume_flow = volume_flow_l
	244	#endif
	245	volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) &
[106]	246	/ volume_flow_area(2)
[75]	247
[667]	248	DO i = nxlg, nxrg
[709]	249	DO k = nzb_v_inner(j,i)+1, nzt
[106]	250	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
[75]	251	ENDDO
[106]	252	ENDDO
[75]	253
	254	ENDIF
	255
[76]	256	!
	257	!-- Remove mean vertical velocity
	258	IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 ) THEN
[709]	259	IF ( simulated_time > 0.0 ) THEN ! otherwise nzb_w_inner not yet known
[76]	260	w_l = 0.0; w_l_l = 0.0
	261	DO i = nxl, nxr
	262	DO j = nys, nyn
	263	DO k = nzb_w_inner(j,i)+1, nzt
	264	w_l_l(k) = w_l_l(k) + w(k,j,i)
	265	ENDDO
	266	ENDDO
	267	ENDDO
	268	#if defined( __parallel )
[622]	269	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[709]	270	CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, &
	271	comm2d, ierr )
[76]	272	#else
	273	w_l = w_l_l
	274	#endif
	275	DO k = 1, nzt
	276	w_l(k) = w_l(k) / ngp_2dh_outer(k,0)
	277	ENDDO
[667]	278	DO i = nxlg, nxrg
	279	DO j = nysg, nyng
[76]	280	DO k = nzb_w_inner(j,i)+1, nzt
	281	w(k,j,i) = w(k,j,i) - w_l(k)
	282	ENDDO
	283	ENDDO
	284	ENDDO
	285	ENDIF
	286	ENDIF
[75]	287
	288	!
[1]	289	!-- Compute the divergence of the provisional velocity field.
	290	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	291
	292	IF ( psolver == 'multigrid' ) THEN
	293	!$OMP PARALLEL DO SCHEDULE( STATIC )
	294	DO i = nxl-1, nxr+1
	295	DO j = nys-1, nyn+1
	296	DO k = nzb, nzt+1
	297	d(k,j,i) = 0.0
	298	ENDDO
	299	ENDDO
	300	ENDDO
	301	ELSE
	302	!$OMP PARALLEL DO SCHEDULE( STATIC )
[1111]	303	!$acc kernels present( d )
[1003]	304	DO i = nxl, nxr
	305	DO j = nys, nyn
	306	DO k = nzb+1, nzt
[1]	307	d(k,j,i) = 0.0
	308	ENDDO
	309	ENDDO
	310	ENDDO
[1111]	311	!$acc end kernels
[1]	312	ENDIF
	313
	314	localsum = 0.0
	315	threadsum = 0.0
	316
	317	#if defined( __ibm )
	318	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	319	!$OMP DO SCHEDULE( STATIC )
	320	DO i = nxl, nxr
	321	DO j = nys, nyn
	322	DO k = nzb_s_inner(j,i)+1, nzt
[85]	323	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	324	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
[673]	325	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	326	* d_weight_pres
[1]	327	ENDDO
	328	!
	329	!-- Compute possible PE-sum of divergences for flow_statistics
	330	DO k = nzb_s_inner(j,i)+1, nzt
	331	threadsum = threadsum + ABS( d(k,j,i) )
	332	ENDDO
	333
	334	ENDDO
	335	ENDDO
	336
[707]	337	localsum = localsum + threadsum * dt_3d * &
	338	weight_pres(intermediate_timestep_count)
[693]	339
[1]	340	!$OMP END PARALLEL
	341	#else
	342
[1111]	343	!$OMP PARALLEL PRIVATE (i,j,k)
	344	!$OMP DO SCHEDULE( STATIC )
[1221]	345	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
	346	!$acc loop collapse( 3 )
[1111]	347	DO i = nxl, nxr
	348	DO j = nys, nyn
	349	DO k = 1, nzt
[1221]	350	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	351	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	352	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	353	* d_weight_pres * rflags_s_inner(k,j,i)
[1]	354	ENDDO
	355	ENDDO
[1111]	356	ENDDO
	357	!$acc end kernels
	358	!$OMP END PARALLEL
[1]	359
	360	!
	361	!-- Compute possible PE-sum of divergences for flow_statistics
	362	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	363	!$OMP DO SCHEDULE( STATIC )
[1221]	364	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
[1]	365	DO i = nxl, nxr
	366	DO j = nys, nyn
	367	DO k = nzb+1, nzt
	368	threadsum = threadsum + ABS( d(k,j,i) )
	369	ENDDO
	370	ENDDO
	371	ENDDO
[1257]	372	!$acc end parallel loop
[707]	373	localsum = localsum + threadsum * dt_3d * &
	374	weight_pres(intermediate_timestep_count)
[1]	375	!$OMP END PARALLEL
	376	#endif
	377
	378	!
	379	!-- For completeness, set the divergence sum of all statistic regions to those
	380	!-- of the total domain
	381	sums_divold_l(0:statistic_regions) = localsum
	382
	383	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
	384
	385	!
	386	!-- Compute the pressure perturbation solving the Poisson equation
	387	IF ( psolver(1:7) == 'poisfft' ) THEN
	388
	389	!
	390	!-- Solve Poisson equation via FFT and solution of tridiagonal matrices
	391	IF ( psolver == 'poisfft' ) THEN
[1212]	392
[1306]	393	CALL poisfft( d )
[1113]	394
[1]	395	ENDIF
	396
	397	!
	398	!-- Store computed perturbation pressure and set boundary condition in
	399	!-- z-direction
	400	!$OMP PARALLEL DO
[1113]	401	!$acc kernels present( d, tend )
[1]	402	DO i = nxl, nxr
	403	DO j = nys, nyn
	404	DO k = nzb+1, nzt
	405	tend(k,j,i) = d(k,j,i)
	406	ENDDO
	407	ENDDO
	408	ENDDO
[1113]	409	!$acc end kernels
[1]	410
	411	!
	412	!-- Bottom boundary:
	413	!-- This condition is only required for internal output. The pressure
	414	!-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else.
	415	IF ( ibc_p_b == 1 ) THEN
	416	!
	417	!-- Neumann (dp/dz = 0)
	418	!$OMP PARALLEL DO
[1113]	419	!$acc kernels present( nzb_s_inner, tend )
[667]	420	DO i = nxlg, nxrg
	421	DO j = nysg, nyng
[1]	422	tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i)
	423	ENDDO
	424	ENDDO
[1113]	425	!$acc end kernels
[1]	426
	427	ELSE
	428	!
	429	!-- Dirichlet
	430	!$OMP PARALLEL DO
[1113]	431	!$acc kernels present( tend )
[667]	432	DO i = nxlg, nxrg
	433	DO j = nysg, nyng
[1]	434	tend(nzb_s_inner(j,i),j,i) = 0.0
	435	ENDDO
	436	ENDDO
[1113]	437	!$acc end kernels
[1]	438
	439	ENDIF
	440
	441	!
	442	!-- Top boundary
	443	IF ( ibc_p_t == 1 ) THEN
	444	!
	445	!-- Neumann
	446	!$OMP PARALLEL DO
[1113]	447	!$acc kernels present( tend )
[667]	448	DO i = nxlg, nxrg
	449	DO j = nysg, nyng
[1]	450	tend(nzt+1,j,i) = tend(nzt,j,i)
	451	ENDDO
	452	ENDDO
[1113]	453	!$acc end kernels
[1]	454
	455	ELSE
	456	!
	457	!-- Dirichlet
	458	!$OMP PARALLEL DO
[1113]	459	!$acc kernels present( tend )
[667]	460	DO i = nxlg, nxrg
	461	DO j = nysg, nyng
[1]	462	tend(nzt+1,j,i) = 0.0
	463	ENDDO
	464	ENDDO
[1113]	465	!$acc end kernels
[1]	466
	467	ENDIF
	468
	469	!
	470	!-- Exchange boundaries for p
[1113]	471	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	472	on_device = .TRUE. ! to be removed after complete porting
	473	ELSE ! of ghost point exchange
	474	!$acc update host( tend )
	475	ENDIF
[667]	476	CALL exchange_horiz( tend, nbgp )
[1113]	477	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	478	on_device = .FALSE. ! to be removed after complete porting
	479	ELSE ! of ghost point exchange
	480	!$acc update device( tend )
	481	ENDIF
[1]	482
	483	ELSEIF ( psolver == 'sor' ) THEN
	484
	485	!
	486	!-- Solve Poisson equation for perturbation pressure using SOR-Red/Black
	487	!-- scheme
[707]	488	CALL sor( d, ddzu_pres, ddzw, p_loc )
	489	tend = p_loc
[1]	490
	491	ELSEIF ( psolver == 'multigrid' ) THEN
	492
	493	!
	494	!-- Solve Poisson equation for perturbation pressure using Multigrid scheme,
[667]	495	!-- array tend is used to store the residuals, logical exchange_mg is used
	496	!-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid
	497	!-- ( nbgp ghost points ).
[778]	498
	499	!-- If the number of grid points of the gathered grid, which is collected
	500	!-- on PE0, is larger than the number of grid points of an PE, than array
	501	!-- tend will be enlarged.
	502	IF ( gathered_size > subdomain_size ) THEN
	503	DEALLOCATE( tend )
	504	ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( &
	505	mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,&
	506	nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( &
	507	mg_switch_to_pe0_level)+1) )
	508	ENDIF
	509
[1]	510	CALL poismg( tend )
[707]	511
[778]	512	IF ( gathered_size > subdomain_size ) THEN
	513	DEALLOCATE( tend )
	514	ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	515	ENDIF
	516
[1]	517	!
	518	!-- Restore perturbation pressure on tend because this array is used
	519	!-- further below to correct the velocity fields
[707]	520	DO i = nxl-1, nxr+1
	521	DO j = nys-1, nyn+1
	522	DO k = nzb, nzt+1
	523	tend(k,j,i) = p_loc(k,j,i)
	524	ENDDO
	525	ENDDO
	526	ENDDO
[667]	527
[1]	528	ENDIF
	529
	530	!
[707]	531	!-- Store perturbation pressure on array p, used for pressure data output.
	532	!-- Ghost layers are added in the output routines (except sor-method: see below)
	533	IF ( intermediate_timestep_count == 1 ) THEN
	534	!$OMP PARALLEL PRIVATE (i,j,k)
	535	!$OMP DO
[1113]	536	!$acc kernels present( p, tend, weight_substep )
[1257]	537	!$acc loop independent
[707]	538	DO i = nxl-1, nxr+1
[1257]	539	!$acc loop independent
[707]	540	DO j = nys-1, nyn+1
[1257]	541	!$acc loop independent
[707]	542	DO k = nzb, nzt+1
	543	p(k,j,i) = tend(k,j,i) * &
	544	weight_substep(intermediate_timestep_count)
[673]	545	ENDDO
[1]	546	ENDDO
[707]	547	ENDDO
[1113]	548	!$acc end kernels
[707]	549	!$OMP END PARALLEL
	550
	551	ELSE
	552	!$OMP PARALLEL PRIVATE (i,j,k)
	553	!$OMP DO
[1113]	554	!$acc kernels present( p, tend, weight_substep )
[1257]	555	!$acc loop independent
[707]	556	DO i = nxl-1, nxr+1
[1257]	557	!$acc loop independent
[707]	558	DO j = nys-1, nyn+1
[1257]	559	!$acc loop independent
[707]	560	DO k = nzb, nzt+1
	561	p(k,j,i) = p(k,j,i) + tend(k,j,i) * &
	562	weight_substep(intermediate_timestep_count)
[673]	563	ENDDO
	564	ENDDO
[707]	565	ENDDO
[1113]	566	!$acc end kernels
[707]	567	!$OMP END PARALLEL
	568
	569	ENDIF
[673]	570
[707]	571	!
	572	!-- SOR-method needs ghost layers for the next timestep
	573	IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp )
[682]	574
[1]	575	!
	576	!-- Correction of the provisional velocities with the current perturbation
	577	!-- pressure just computed
[709]	578	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN
[1]	579	volume_flow_l(1) = 0.0
	580	volume_flow_l(2) = 0.0
	581	ENDIF
[707]	582
[1]	583	!$OMP PARALLEL PRIVATE (i,j,k)
	584	!$OMP DO
[1113]	585	!$acc kernels present( ddzu, nzb_u_inner, nzb_v_inner, nzb_w_inner, tend, u, v, w, weight_pres )
[1257]	586	!$acc loop independent
[673]	587	DO i = nxl, nxr
[1257]	588	!$acc loop independent
[1]	589	DO j = nys, nyn
[1257]	590	!$acc loop independent
[1113]	591	DO k = 1, nzt
	592	IF ( k > nzb_w_inner(j,i) ) THEN
	593	w(k,j,i) = w(k,j,i) - dt_3d * &
	594	( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) * &
	595	weight_pres(intermediate_timestep_count)
	596	ENDIF
[1]	597	ENDDO
[1257]	598	!$acc loop independent
[1113]	599	DO k = 1, nzt
	600	IF ( k > nzb_u_inner(j,i) ) THEN
	601	u(k,j,i) = u(k,j,i) - dt_3d * &
	602	( tend(k,j,i) - tend(k,j,i-1) ) * ddx * &
	603	weight_pres(intermediate_timestep_count)
	604	ENDIF
[1]	605	ENDDO
[1257]	606	!$acc loop independent
[1113]	607	DO k = 1, nzt
	608	IF ( k > nzb_v_inner(j,i) ) THEN
	609	v(k,j,i) = v(k,j,i) - dt_3d * &
	610	( tend(k,j,i) - tend(k,j-1,i) ) * ddy * &
	611	weight_pres(intermediate_timestep_count)
	612	ENDIF
[673]	613	ENDDO
[1]	614
	615	ENDDO
	616	ENDDO
[1113]	617	!$acc end kernels
[1]	618	!$OMP END PARALLEL
[1113]	619
	620	!
	621	!-- Sum up the volume flow through the right and north boundary
	622	IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. &
	623	nxr == nx ) THEN
	624
	625	!$OMP PARALLEL PRIVATE (j,k)
	626	!$OMP DO
	627	DO j = nys, nyn
	628	!$OMP CRITICAL
	629	DO k = nzb_2d(j,nx) + 1, nzt
	630	volume_flow_l(1) = volume_flow_l(1) + u(k,j,nx) * dzw(k)
	631	ENDDO
	632	!$OMP END CRITICAL
	633	ENDDO
	634	!$OMP END PARALLEL
	635
	636	ENDIF
	637
	638	IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. &
	639	nyn == ny ) THEN
	640
	641	!$OMP PARALLEL PRIVATE (i,k)
	642	!$OMP DO
	643	DO i = nxl, nxr
	644	!$OMP CRITICAL
	645	DO k = nzb_2d(ny,i) + 1, nzt
	646	volume_flow_l(2) = volume_flow_l(2) + v(k,ny,i) * dzw(k)
	647	ENDDO
	648	!$OMP END CRITICAL
	649	ENDDO
	650	!$OMP END PARALLEL
	651
	652	ENDIF
[673]	653
[1]	654	!
	655	!-- Conserve the volume flow
[707]	656	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN
[1]	657
	658	#if defined( __parallel )
[622]	659	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	660	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, &
	661	MPI_SUM, comm2d, ierr )
	662	#else
	663	volume_flow = volume_flow_l
	664	#endif
	665
	666	volume_flow_offset = ( volume_flow_initial - volume_flow ) / &
	667	volume_flow_area
	668
	669	!$OMP PARALLEL PRIVATE (i,j,k)
	670	!$OMP DO
	671	DO i = nxl, nxr
	672	DO j = nys, nyn
[667]	673	DO k = nzb_u_inner(j,i) + 1, nzt
	674	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
[719]	675	ENDDO
	676	DO k = nzb_v_inner(j,i) + 1, nzt
[667]	677	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
	678	ENDDO
[1]	679	ENDDO
	680	ENDDO
[667]	681
[1]	682	!$OMP END PARALLEL
	683
	684	ENDIF
	685
	686	!
	687	!-- Exchange of boundaries for the velocities
[1113]	688	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	689	on_device = .TRUE. ! to be removed after complete porting
	690	ELSE ! of ghost point exchange
	691	!$acc update host( u, v, w )
	692	ENDIF
[667]	693	CALL exchange_horiz( u, nbgp )
	694	CALL exchange_horiz( v, nbgp )
	695	CALL exchange_horiz( w, nbgp )
[1113]	696	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	697	on_device = .FALSE. ! to be removed after complete porting
	698	ELSE ! of ghost point exchange
	699	!$acc update device( u, v, w )
	700	ENDIF
[1]	701
	702	!
	703	!-- Compute the divergence of the corrected velocity field,
	704	!-- a possible PE-sum is computed in flow_statistics
	705	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	706	sums_divnew_l = 0.0
	707
	708	!
	709	!-- d must be reset to zero because it can contain nonzero values below the
	710	!-- topography
	711	IF ( topography /= 'flat' ) d = 0.0
	712
	713	localsum = 0.0
	714	threadsum = 0.0
	715
	716	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	717	!$OMP DO SCHEDULE( STATIC )
	718	#if defined( __ibm )
	719	DO i = nxl, nxr
	720	DO j = nys, nyn
	721	DO k = nzb_s_inner(j,i)+1, nzt
	722	d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	723	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	724	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
	725	ENDDO
	726	DO k = nzb+1, nzt
	727	threadsum = threadsum + ABS( d(k,j,i) )
	728	ENDDO
	729	ENDDO
	730	ENDDO
	731	#else
[1221]	732	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
	733	!$acc loop collapse( 3 )
[1]	734	DO i = nxl, nxr
	735	DO j = nys, nyn
[1113]	736	DO k = 1, nzt
[1221]	737	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	738	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	739	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
	740	) * rflags_s_inner(k,j,i)
[1113]	741	ENDDO
	742	ENDDO
	743	ENDDO
	744	!$acc end kernels
	745	!
	746	!-- Compute possible PE-sum of divergences for flow_statistics
[1221]	747	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
[1113]	748	DO i = nxl, nxr
	749	DO j = nys, nyn
[1221]	750	DO k = nzb+1, nzt
[1]	751	threadsum = threadsum + ABS( d(k,j,i) )
	752	ENDDO
	753	ENDDO
	754	ENDDO
[1257]	755	!$acc end parallel loop
[1]	756	#endif
[667]	757
[1]	758	localsum = localsum + threadsum
	759	!$OMP END PARALLEL
	760
	761	!
	762	!-- For completeness, set the divergence sum of all statistic regions to those
	763	!-- of the total domain
	764	sums_divnew_l(0:statistic_regions) = localsum
	765
	766	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
	767
	768	CALL cpu_log( log_point(8), 'pres', 'stop' )
	769
	770
	771	END SUBROUTINE pres

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