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source: palm/trunk/SOURCE/pres.f90 @ 1791

Last change on this file since 1791 was 1763, checked in by hellstea, 9 years ago
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[1682]	1	!> @file pres.f90
[1036]	2	!--------------------------------------------------------------------------------!
	3	! This file is part of PALM.
	4	!
	5	! PALM is free software: you can redistribute it and/or modify it under the terms
	6	! of the GNU General Public License as published by the Free Software Foundation,
	7	! either version 3 of the License, or (at your option) any later version.
	8	!
	9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	12	!
	13	! You should have received a copy of the GNU General Public License along with
	14	! PALM. If not, see <http://www.gnu.org/licenses/>.
	15	!
[1310]	16	! Copyright 1997-2014 Leibniz Universitaet Hannover
[1036]	17	!--------------------------------------------------------------------------------!
	18	!
[484]	19	! Current revisions:
[1212]	20	! ------------------
[1763]	21	!
[1683]	22	!
[1321]	23	! Former revisions:
	24	! -----------------
	25	! $Id: pres.f90 1763 2016-02-25 13:00:19Z raasch $
	26	!
[1763]	27	! 1762 2016-02-25 12:31:13Z hellstea
	28	! Introduction of nested domain feature
	29	!
[1683]	30	! 1682 2015-10-07 23:56:08Z knoop
	31	! Code annotations made doxygen readable
	32	!
[1576]	33	! 1575 2015-03-27 09:56:27Z raasch
	34	! poismg_fast + respective module added, adjustments for psolver-queries
	35	!
[1343]	36	! 1342 2014-03-26 17:04:47Z kanani
	37	! REAL constants defined as wp-kind
	38	!
[1321]	39	! 1320 2014-03-20 08:40:49Z raasch
[1320]	40	! ONLY-attribute added to USE-statements,
	41	! kind-parameters added to all INTEGER and REAL declaration statements,
	42	! kinds are defined in new module kinds,
	43	! old module precision_kind is removed,
	44	! revision history before 2012 removed,
	45	! comment fields (!:) to be used for variable explanations added to
	46	! all variable declaration statements
[708]	47	!
[1319]	48	! 1318 2014-03-17 13:35:16Z raasch
	49	! module interfaces removed
	50	!
[1307]	51	! 1306 2014-03-13 14:30:59Z raasch
	52	! second argument removed from routine poisfft
	53	!
[1258]	54	! 1257 2013-11-08 15:18:40Z raasch
	55	! openacc loop and loop vector clauses removed, independent clauses added,
	56	! end parallel replaced by end parallel loop
	57	!
[1222]	58	! 1221 2013-09-10 08:59:13Z raasch
	59	! openACC porting of reduction operations, loops for calculating d are
	60	! using the rflags_s_inner multiply flag instead of the nzb_s_inner loop index
	61	!
[1213]	62	! 1212 2013-08-15 08:46:27Z raasch
	63	! call of poisfft_hybrid removed
	64	!
[1118]	65	! 1117 2013-03-27 11:15:36Z suehring
	66	! Bugfix in OpenMP parallelization.
	67	!
[1114]	68	! 1113 2013-03-10 02:48:14Z raasch
	69	! GPU-porting of several loops, some loops rearranged
	70	!
[1112]	71	! 1111 2013-03-08 23:54:10Z
	72	! openACC statements added,
	73	! ibc_p_b = 2 removed
	74	!
[1093]	75	! 1092 2013-02-02 11:24:22Z raasch
	76	! unused variables removed
	77	!
[1037]	78	! 1036 2012-10-22 13:43:42Z raasch
	79	! code put under GPL (PALM 3.9)
	80	!
[1004]	81	! 1003 2012-09-14 14:35:53Z raasch
	82	! adjustment of array tend for cases with unequal subdomain sizes removed
	83	!
[1]	84	! Revision 1.1 1997/07/24 11:24:44 raasch
	85	! Initial revision
	86	!
	87	!
	88	! Description:
	89	! ------------
[1682]	90	!> Compute the divergence of the provisional velocity field. Solve the Poisson
	91	!> equation for the perturbation pressure. Compute the final velocities using
	92	!> this perturbation pressure. Compute the remaining divergence.
[1]	93	!------------------------------------------------------------------------------!
[1682]	94	SUBROUTINE pres
	95
[1]	96
[1320]	97	USE arrays_3d, &
	98	ONLY: d, ddzu, ddzu_pres, ddzw, dzw, p, p_loc, tend, u, v, w
	99
	100	USE control_parameters, &
	101	ONLY: bc_lr_cyc, bc_ns_cyc, conserve_volume_flow, dt_3d, &
	102	gathered_size, ibc_p_b, ibc_p_t, intermediate_timestep_count, &
[1762]	103	mg_switch_to_pe0_level, nest_domain, nest_bound_l, &
	104	nest_bound_n, nest_bound_r, nest_bound_s, on_device, outflow_l, &
	105	outflow_n, outflow_r, outflow_s, psolver, simulated_time, &
	106	subdomain_size, topography, volume_flow, volume_flow_area, &
	107	volume_flow_initial
[1320]	108
	109	USE cpulog, &
	110	ONLY: cpu_log, log_point, log_point_s
	111
	112	USE grid_variables, &
	113	ONLY: ddx, ddy
	114
	115	USE indices, &
	116	ONLY: nbgp, ngp_2dh_outer, nx, nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, &
	117	ny, nys, nysg, nys_mg, nyn, nyng, nyn_mg, nzb, nzb_s_inner, &
	118	nzb_u_inner, nzb_v_inner, nzb_w_inner, nzb_2d, nzt, nzt_mg, &
	119	rflags_s_inner
	120
	121	USE kinds
	122
[1]	123	USE pegrid
	124
[1320]	125	USE poisfft_mod, &
	126	ONLY: poisfft
	127
[1575]	128	USE poismg_mod
	129
[1320]	130	USE statistics, &
	131	ONLY: statistic_regions, sums_divnew_l, sums_divold_l, weight_pres, &
	132	weight_substep
	133
[1]	134	IMPLICIT NONE
	135
[1682]	136	INTEGER(iwp) :: i !<
	137	INTEGER(iwp) :: j !<
	138	INTEGER(iwp) :: k !<
[1]	139
[1682]	140	REAL(wp) :: ddt_3d !<
	141	REAL(wp) :: localsum !<
	142	REAL(wp) :: threadsum !<
	143	REAL(wp) :: d_weight_pres !<
[1]	144
[1762]	145	REAL(wp), DIMENSION(1:3) :: volume_flow_l !<
	146	REAL(wp), DIMENSION(1:3) :: volume_flow_offset !<
[1682]	147	REAL(wp), DIMENSION(1:nzt) :: w_l !<
	148	REAL(wp), DIMENSION(1:nzt) :: w_l_l !<
[1]	149
	150
	151	CALL cpu_log( log_point(8), 'pres', 'start' )
	152
[85]	153
[1342]	154	ddt_3d = 1.0_wp / dt_3d
	155	d_weight_pres = 1.0_wp / weight_pres(intermediate_timestep_count)
[85]	156
[1]	157	!
[707]	158	!-- Multigrid method expects array d to have one ghost layer.
	159	!--
[1575]	160	IF ( psolver(1:9) == 'multigrid' ) THEN
[667]	161
[1]	162	DEALLOCATE( d )
[667]	163	ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
[707]	164
	165	!
	166	!-- Since p is later used to hold the weighted average of the substeps, it
	167	!-- cannot be used in the iterative solver. Therefore, its initial value is
	168	!-- stored on p_loc, which is then iteratively advanced in every substep.
[1762]	169	IF ( intermediate_timestep_count <= 1 ) THEN
[707]	170	DO i = nxl-1, nxr+1
	171	DO j = nys-1, nyn+1
	172	DO k = nzb, nzt+1
	173	p_loc(k,j,i) = p(k,j,i)
	174	ENDDO
	175	ENDDO
	176	ENDDO
[667]	177	ENDIF
	178
[707]	179	ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count == 1 ) THEN
	180
	181	!
	182	!-- Since p is later used to hold the weighted average of the substeps, it
	183	!-- cannot be used in the iterative solver. Therefore, its initial value is
	184	!-- stored on p_loc, which is then iteratively advanced in every substep.
	185	p_loc = p
	186
[1]	187	ENDIF
	188
	189	!
[75]	190	!-- Conserve the volume flow at the outflow in case of non-cyclic lateral
	191	!-- boundary conditions
[106]	192	!-- WARNING: so far, this conservation does not work at the left/south
	193	!-- boundary if the topography at the inflow differs from that at the
	194	!-- outflow! For this case, volume_flow_area needs adjustment!
	195	!
	196	!-- Left/right
[709]	197	IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN
[680]	198
[1342]	199	volume_flow(1) = 0.0_wp
	200	volume_flow_l(1) = 0.0_wp
[106]	201
	202	IF ( outflow_l ) THEN
	203	i = 0
	204	ELSEIF ( outflow_r ) THEN
	205	i = nx+1
	206	ENDIF
	207
	208	DO j = nys, nyn
	209	!
	210	!-- Sum up the volume flow through the south/north boundary
[709]	211	DO k = nzb_2d(j,i)+1, nzt
[667]	212	volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k)
[106]	213	ENDDO
	214	ENDDO
	215
	216	#if defined( __parallel )
[680]	217	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
[106]	218	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, &
	219	MPI_SUM, comm1dy, ierr )
	220	#else
	221	volume_flow = volume_flow_l
	222	#endif
[709]	223	volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) &
[106]	224	/ volume_flow_area(1)
	225
[667]	226	DO j = nysg, nyng
[709]	227	DO k = nzb_2d(j,i)+1, nzt
[106]	228	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
	229	ENDDO
	230	ENDDO
	231
	232	ENDIF
	233
	234	!
	235	!-- South/north
[709]	236	IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN
[106]	237
[1342]	238	volume_flow(2) = 0.0_wp
	239	volume_flow_l(2) = 0.0_wp
[75]	240
[106]	241	IF ( outflow_s ) THEN
	242	j = 0
	243	ELSEIF ( outflow_n ) THEN
[75]	244	j = ny+1
[106]	245	ENDIF
	246
	247	DO i = nxl, nxr
[75]	248	!
[106]	249	!-- Sum up the volume flow through the south/north boundary
[709]	250	DO k = nzb_2d(j,i)+1, nzt
[667]	251	volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k)
[75]	252	ENDDO
[106]	253	ENDDO
	254
[75]	255	#if defined( __parallel )
[680]	256	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
[75]	257	CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, &
	258	MPI_SUM, comm1dx, ierr )
	259	#else
	260	volume_flow = volume_flow_l
	261	#endif
	262	volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) &
[106]	263	/ volume_flow_area(2)
[75]	264
[667]	265	DO i = nxlg, nxrg
[709]	266	DO k = nzb_v_inner(j,i)+1, nzt
[106]	267	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
[75]	268	ENDDO
[106]	269	ENDDO
[75]	270
	271	ENDIF
	272
[76]	273	!
[1762]	274	!-- Remove mean vertical velocity in case that Neumann conditions are
	275	!-- used both at bottom and top boundary, and if not a nested domain
	276	IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 .AND. .NOT. nest_domain) THEN
[1342]	277	IF ( simulated_time > 0.0_wp ) THEN ! otherwise nzb_w_inner not yet known
	278	w_l = 0.0_wp; w_l_l = 0.0_wp
[76]	279	DO i = nxl, nxr
	280	DO j = nys, nyn
	281	DO k = nzb_w_inner(j,i)+1, nzt
	282	w_l_l(k) = w_l_l(k) + w(k,j,i)
	283	ENDDO
	284	ENDDO
	285	ENDDO
	286	#if defined( __parallel )
[622]	287	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[709]	288	CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, &
	289	comm2d, ierr )
[76]	290	#else
	291	w_l = w_l_l
	292	#endif
	293	DO k = 1, nzt
	294	w_l(k) = w_l(k) / ngp_2dh_outer(k,0)
	295	ENDDO
[667]	296	DO i = nxlg, nxrg
	297	DO j = nysg, nyng
[76]	298	DO k = nzb_w_inner(j,i)+1, nzt
	299	w(k,j,i) = w(k,j,i) - w_l(k)
	300	ENDDO
	301	ENDDO
	302	ENDDO
	303	ENDIF
	304	ENDIF
[75]	305
	306	!
[1]	307	!-- Compute the divergence of the provisional velocity field.
	308	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	309
[1575]	310	IF ( psolver(1:9) == 'multigrid' ) THEN
[1]	311	!$OMP PARALLEL DO SCHEDULE( STATIC )
	312	DO i = nxl-1, nxr+1
	313	DO j = nys-1, nyn+1
	314	DO k = nzb, nzt+1
[1342]	315	d(k,j,i) = 0.0_wp
[1]	316	ENDDO
	317	ENDDO
	318	ENDDO
	319	ELSE
	320	!$OMP PARALLEL DO SCHEDULE( STATIC )
[1111]	321	!$acc kernels present( d )
[1003]	322	DO i = nxl, nxr
	323	DO j = nys, nyn
	324	DO k = nzb+1, nzt
[1342]	325	d(k,j,i) = 0.0_wp
[1]	326	ENDDO
	327	ENDDO
	328	ENDDO
[1111]	329	!$acc end kernels
[1]	330	ENDIF
	331
[1342]	332	localsum = 0.0_wp
	333	threadsum = 0.0_wp
[1]	334
	335	#if defined( __ibm )
	336	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	337	!$OMP DO SCHEDULE( STATIC )
	338	DO i = nxl, nxr
	339	DO j = nys, nyn
	340	DO k = nzb_s_inner(j,i)+1, nzt
[85]	341	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	342	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
[673]	343	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	344	* d_weight_pres
[1]	345	ENDDO
	346	!
	347	!-- Compute possible PE-sum of divergences for flow_statistics
	348	DO k = nzb_s_inner(j,i)+1, nzt
	349	threadsum = threadsum + ABS( d(k,j,i) )
	350	ENDDO
	351
	352	ENDDO
	353	ENDDO
	354
[707]	355	localsum = localsum + threadsum * dt_3d * &
	356	weight_pres(intermediate_timestep_count)
[693]	357
[1]	358	!$OMP END PARALLEL
	359	#else
	360
[1111]	361	!$OMP PARALLEL PRIVATE (i,j,k)
	362	!$OMP DO SCHEDULE( STATIC )
[1221]	363	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
	364	!$acc loop collapse( 3 )
[1111]	365	DO i = nxl, nxr
	366	DO j = nys, nyn
	367	DO k = 1, nzt
[1221]	368	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	369	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	370	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	371	* d_weight_pres * rflags_s_inner(k,j,i)
[1]	372	ENDDO
	373	ENDDO
[1111]	374	ENDDO
	375	!$acc end kernels
	376	!$OMP END PARALLEL
[1]	377
	378	!
	379	!-- Compute possible PE-sum of divergences for flow_statistics
	380	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	381	!$OMP DO SCHEDULE( STATIC )
[1221]	382	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
[1]	383	DO i = nxl, nxr
	384	DO j = nys, nyn
	385	DO k = nzb+1, nzt
	386	threadsum = threadsum + ABS( d(k,j,i) )
	387	ENDDO
	388	ENDDO
	389	ENDDO
[1257]	390	!$acc end parallel loop
[707]	391	localsum = localsum + threadsum * dt_3d * &
	392	weight_pres(intermediate_timestep_count)
[1]	393	!$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
[1575]	405	IF ( psolver == 'poisfft' ) THEN
[1]	406
	407	!
	408	!-- Solve Poisson equation via FFT and solution of tridiagonal matrices
[1575]	409	CALL poisfft( d )
[1212]	410
[1]	411	!
	412	!-- Store computed perturbation pressure and set boundary condition in
	413	!-- z-direction
	414	!$OMP PARALLEL DO
[1113]	415	!$acc kernels present( d, tend )
[1]	416	DO i = nxl, nxr
	417	DO j = nys, nyn
	418	DO k = nzb+1, nzt
	419	tend(k,j,i) = d(k,j,i)
	420	ENDDO
	421	ENDDO
	422	ENDDO
[1113]	423	!$acc end kernels
[1]	424
	425	!
	426	!-- Bottom boundary:
	427	!-- This condition is only required for internal output. The pressure
	428	!-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else.
	429	IF ( ibc_p_b == 1 ) THEN
	430	!
	431	!-- Neumann (dp/dz = 0)
	432	!$OMP PARALLEL DO
[1113]	433	!$acc kernels present( nzb_s_inner, tend )
[667]	434	DO i = nxlg, nxrg
	435	DO j = nysg, nyng
[1]	436	tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i)
	437	ENDDO
	438	ENDDO
[1113]	439	!$acc end kernels
[1]	440
	441	ELSE
	442	!
	443	!-- Dirichlet
	444	!$OMP PARALLEL DO
[1113]	445	!$acc kernels present( tend )
[667]	446	DO i = nxlg, nxrg
	447	DO j = nysg, nyng
[1342]	448	tend(nzb_s_inner(j,i),j,i) = 0.0_wp
[1]	449	ENDDO
	450	ENDDO
[1113]	451	!$acc end kernels
[1]	452
	453	ENDIF
	454
	455	!
	456	!-- Top boundary
	457	IF ( ibc_p_t == 1 ) THEN
	458	!
	459	!-- Neumann
	460	!$OMP PARALLEL DO
[1113]	461	!$acc kernels present( tend )
[667]	462	DO i = nxlg, nxrg
	463	DO j = nysg, nyng
[1]	464	tend(nzt+1,j,i) = tend(nzt,j,i)
	465	ENDDO
	466	ENDDO
[1113]	467	!$acc end kernels
[1]	468
	469	ELSE
	470	!
	471	!-- Dirichlet
	472	!$OMP PARALLEL DO
[1113]	473	!$acc kernels present( tend )
[667]	474	DO i = nxlg, nxrg
	475	DO j = nysg, nyng
[1342]	476	tend(nzt+1,j,i) = 0.0_wp
[1]	477	ENDDO
	478	ENDDO
[1113]	479	!$acc end kernels
[1]	480
	481	ENDIF
	482
	483	!
	484	!-- Exchange boundaries for p
[1113]	485	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	486	on_device = .TRUE. ! to be removed after complete porting
	487	ELSE ! of ghost point exchange
	488	!$acc update host( tend )
	489	ENDIF
[667]	490	CALL exchange_horiz( tend, nbgp )
[1113]	491	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	492	on_device = .FALSE. ! to be removed after complete porting
	493	ELSE ! of ghost point exchange
	494	!$acc update device( tend )
	495	ENDIF
[1]	496
	497	ELSEIF ( psolver == 'sor' ) THEN
	498
	499	!
	500	!-- Solve Poisson equation for perturbation pressure using SOR-Red/Black
	501	!-- scheme
[707]	502	CALL sor( d, ddzu_pres, ddzw, p_loc )
	503	tend = p_loc
[1]	504
[1575]	505	ELSEIF ( psolver(1:9) == 'multigrid' ) THEN
[1]	506
	507	!
	508	!-- Solve Poisson equation for perturbation pressure using Multigrid scheme,
[667]	509	!-- array tend is used to store the residuals, logical exchange_mg is used
	510	!-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid
	511	!-- ( nbgp ghost points ).
[778]	512
	513	!-- If the number of grid points of the gathered grid, which is collected
	514	!-- on PE0, is larger than the number of grid points of an PE, than array
	515	!-- tend will be enlarged.
	516	IF ( gathered_size > subdomain_size ) THEN
	517	DEALLOCATE( tend )
	518	ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( &
	519	mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,&
	520	nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( &
	521	mg_switch_to_pe0_level)+1) )
	522	ENDIF
	523
[1575]	524	IF ( psolver == 'multigrid' ) THEN
	525	CALL poismg( tend )
	526	ELSE
	527	CALL poismg_fast( tend )
	528	ENDIF
[707]	529
[778]	530	IF ( gathered_size > subdomain_size ) THEN
	531	DEALLOCATE( tend )
	532	ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	533	ENDIF
	534
[1]	535	!
	536	!-- Restore perturbation pressure on tend because this array is used
	537	!-- further below to correct the velocity fields
[707]	538	DO i = nxl-1, nxr+1
	539	DO j = nys-1, nyn+1
	540	DO k = nzb, nzt+1
	541	tend(k,j,i) = p_loc(k,j,i)
	542	ENDDO
	543	ENDDO
	544	ENDDO
[667]	545
[1]	546	ENDIF
	547
	548	!
[707]	549	!-- Store perturbation pressure on array p, used for pressure data output.
	550	!-- Ghost layers are added in the output routines (except sor-method: see below)
	551	IF ( intermediate_timestep_count == 1 ) THEN
	552	!$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	!$acc loop independent
[707]	560	DO k = nzb, nzt+1
	561	p(k,j,i) = tend(k,j,i) * &
	562	weight_substep(intermediate_timestep_count)
[673]	563	ENDDO
[1]	564	ENDDO
[707]	565	ENDDO
[1113]	566	!$acc end kernels
[707]	567	!$OMP END PARALLEL
	568
[1762]	569	ELSEIF ( intermediate_timestep_count > 1 ) THEN
[707]	570	!$OMP PARALLEL PRIVATE (i,j,k)
	571	!$OMP DO
[1113]	572	!$acc kernels present( p, tend, weight_substep )
[1257]	573	!$acc loop independent
[707]	574	DO i = nxl-1, nxr+1
[1257]	575	!$acc loop independent
[707]	576	DO j = nys-1, nyn+1
[1257]	577	!$acc loop independent
[707]	578	DO k = nzb, nzt+1
	579	p(k,j,i) = p(k,j,i) + tend(k,j,i) * &
	580	weight_substep(intermediate_timestep_count)
[673]	581	ENDDO
	582	ENDDO
[707]	583	ENDDO
[1113]	584	!$acc end kernels
[707]	585	!$OMP END PARALLEL
	586
	587	ENDIF
[673]	588
[707]	589	!
	590	!-- SOR-method needs ghost layers for the next timestep
	591	IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp )
[682]	592
[1]	593	!
	594	!-- Correction of the provisional velocities with the current perturbation
	595	!-- pressure just computed
[709]	596	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN
[1342]	597	volume_flow_l(1) = 0.0_wp
	598	volume_flow_l(2) = 0.0_wp
[1]	599	ENDIF
[707]	600
[1]	601	!$OMP PARALLEL PRIVATE (i,j,k)
	602	!$OMP DO
[1113]	603	!$acc kernels present( ddzu, nzb_u_inner, nzb_v_inner, nzb_w_inner, tend, u, v, w, weight_pres )
[1257]	604	!$acc loop independent
[673]	605	DO i = nxl, nxr
[1257]	606	!$acc loop independent
[1]	607	DO j = nys, nyn
[1257]	608	!$acc loop independent
[1113]	609	DO k = 1, nzt
	610	IF ( k > nzb_w_inner(j,i) ) THEN
	611	w(k,j,i) = w(k,j,i) - dt_3d * &
	612	( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) * &
	613	weight_pres(intermediate_timestep_count)
	614	ENDIF
[1]	615	ENDDO
[1257]	616	!$acc loop independent
[1113]	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
[1]	623	ENDDO
[1257]	624	!$acc loop independent
[1113]	625	DO k = 1, nzt
	626	IF ( k > nzb_v_inner(j,i) ) THEN
	627	v(k,j,i) = v(k,j,i) - dt_3d * &
	628	( tend(k,j,i) - tend(k,j-1,i) ) * ddy * &
	629	weight_pres(intermediate_timestep_count)
	630	ENDIF
[673]	631	ENDDO
[1]	632
	633	ENDDO
	634	ENDDO
[1113]	635	!$acc end kernels
[1]	636	!$OMP END PARALLEL
[1113]	637
	638	!
	639	!-- Sum up the volume flow through the right and north boundary
	640	IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. &
	641	nxr == nx ) THEN
	642
	643	!$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	!$OMP END PARALLEL
	669
	670	ENDIF
[673]	671
[1]	672	!
	673	!-- Conserve the volume flow
[707]	674	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN
[1]	675
	676	#if defined( __parallel )
[622]	677	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	678	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, &
	679	MPI_SUM, comm2d, ierr )
	680	#else
	681	volume_flow = volume_flow_l
	682	#endif
	683
	684	volume_flow_offset = ( volume_flow_initial - volume_flow ) / &
	685	volume_flow_area
	686
	687	!$OMP PARALLEL PRIVATE (i,j,k)
	688	!$OMP DO
	689	DO i = nxl, nxr
	690	DO j = nys, nyn
[667]	691	DO k = nzb_u_inner(j,i) + 1, nzt
	692	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
[719]	693	ENDDO
	694	DO k = nzb_v_inner(j,i) + 1, nzt
[667]	695	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
	696	ENDDO
[1]	697	ENDDO
	698	ENDDO
[667]	699
[1]	700	!$OMP END PARALLEL
	701
	702	ENDIF
	703
	704	!
	705	!-- Exchange of boundaries for the velocities
[1113]	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	!$acc update host( u, v, w )
	710	ENDIF
[667]	711	CALL exchange_horiz( u, nbgp )
	712	CALL exchange_horiz( v, nbgp )
	713	CALL exchange_horiz( w, nbgp )
[1113]	714	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	715	on_device = .FALSE. ! to be removed after complete porting
	716	ELSE ! of ghost point exchange
	717	!$acc update device( u, v, w )
	718	ENDIF
[1]	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' )
[1342]	724	sums_divnew_l = 0.0_wp
[1]	725
	726	!
	727	!-- d must be reset to zero because it can contain nonzero values below the
	728	!-- topography
[1342]	729	IF ( topography /= 'flat' ) d = 0.0_wp
[1]	730
[1342]	731	localsum = 0.0_wp
	732	threadsum = 0.0_wp
[1]	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
[1221]	750	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
	751	!$acc loop collapse( 3 )
[1]	752	DO i = nxl, nxr
	753	DO j = nys, nyn
[1113]	754	DO k = 1, nzt
[1221]	755	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	756	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	757	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
	758	) * rflags_s_inner(k,j,i)
[1113]	759	ENDDO
	760	ENDDO
	761	ENDDO
	762	!$acc end kernels
	763	!
	764	!-- Compute possible PE-sum of divergences for flow_statistics
[1221]	765	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
[1113]	766	DO i = nxl, nxr
	767	DO j = nys, nyn
[1221]	768	DO k = nzb+1, nzt
[1]	769	threadsum = threadsum + ABS( d(k,j,i) )
	770	ENDDO
	771	ENDDO
	772	ENDDO
[1257]	773	!$acc end parallel loop
[1]	774	#endif
[667]	775
[1]	776	localsum = localsum + threadsum
	777	!$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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