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source: palm/trunk/SOURCE/pres.f90 @ 1910

Last change on this file since 1910 was 1909, checked in by suehring, 8 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	!
[1818]	16	! Copyright 1997-2016 Leibniz Universitaet Hannover
[1036]	17	!--------------------------------------------------------------------------------!
	18	!
[484]	19	! Current revisions:
[1212]	20	! ------------------
[1683]	21	!
[1909]	22	!
[1321]	23	! Former revisions:
	24	! -----------------
	25	! $Id: pres.f90 1909 2016-05-25 17:23:33Z raasch $
	26	!
[1909]	27	! 1908 2016-05-25 17:22:32Z suehring
	28	! New divergence for output into RUN_CONTROL file is calculated only at last
	29	! Runge-Kutta step
	30	!
[1846]	31	! 1845 2016-04-08 08:29:13Z raasch
	32	! nzb_2d replace by nzb_u\|v_inner
	33	!
[1800]	34	! 1799 2016-04-05 08:35:55Z gronemeier
	35	! Bugfix: excluded third dimension from horizontal volume flow calculation
	36	!
[1763]	37	! 1762 2016-02-25 12:31:13Z hellstea
	38	! Introduction of nested domain feature
	39	!
[1683]	40	! 1682 2015-10-07 23:56:08Z knoop
	41	! Code annotations made doxygen readable
	42	!
[1576]	43	! 1575 2015-03-27 09:56:27Z raasch
	44	! poismg_fast + respective module added, adjustments for psolver-queries
	45	!
[1343]	46	! 1342 2014-03-26 17:04:47Z kanani
	47	! REAL constants defined as wp-kind
	48	!
[1321]	49	! 1320 2014-03-20 08:40:49Z raasch
[1320]	50	! ONLY-attribute added to USE-statements,
	51	! kind-parameters added to all INTEGER and REAL declaration statements,
	52	! kinds are defined in new module kinds,
	53	! old module precision_kind is removed,
	54	! revision history before 2012 removed,
	55	! comment fields (!:) to be used for variable explanations added to
	56	! all variable declaration statements
[708]	57	!
[1319]	58	! 1318 2014-03-17 13:35:16Z raasch
	59	! module interfaces removed
	60	!
[1307]	61	! 1306 2014-03-13 14:30:59Z raasch
	62	! second argument removed from routine poisfft
	63	!
[1258]	64	! 1257 2013-11-08 15:18:40Z raasch
	65	! openacc loop and loop vector clauses removed, independent clauses added,
	66	! end parallel replaced by end parallel loop
	67	!
[1222]	68	! 1221 2013-09-10 08:59:13Z raasch
	69	! openACC porting of reduction operations, loops for calculating d are
	70	! using the rflags_s_inner multiply flag instead of the nzb_s_inner loop index
	71	!
[1213]	72	! 1212 2013-08-15 08:46:27Z raasch
	73	! call of poisfft_hybrid removed
	74	!
[1118]	75	! 1117 2013-03-27 11:15:36Z suehring
	76	! Bugfix in OpenMP parallelization.
	77	!
[1114]	78	! 1113 2013-03-10 02:48:14Z raasch
	79	! GPU-porting of several loops, some loops rearranged
	80	!
[1112]	81	! 1111 2013-03-08 23:54:10Z
	82	! openACC statements added,
	83	! ibc_p_b = 2 removed
	84	!
[1093]	85	! 1092 2013-02-02 11:24:22Z raasch
	86	! unused variables removed
	87	!
[1037]	88	! 1036 2012-10-22 13:43:42Z raasch
	89	! code put under GPL (PALM 3.9)
	90	!
[1004]	91	! 1003 2012-09-14 14:35:53Z raasch
	92	! adjustment of array tend for cases with unequal subdomain sizes removed
	93	!
[1]	94	! Revision 1.1 1997/07/24 11:24:44 raasch
	95	! Initial revision
	96	!
	97	!
	98	! Description:
	99	! ------------
[1682]	100	!> Compute the divergence of the provisional velocity field. Solve the Poisson
	101	!> equation for the perturbation pressure. Compute the final velocities using
	102	!> this perturbation pressure. Compute the remaining divergence.
[1]	103	!------------------------------------------------------------------------------!
[1682]	104	SUBROUTINE pres
	105
[1]	106
[1320]	107	USE arrays_3d, &
	108	ONLY: d, ddzu, ddzu_pres, ddzw, dzw, p, p_loc, tend, u, v, w
	109
	110	USE control_parameters, &
	111	ONLY: bc_lr_cyc, bc_ns_cyc, conserve_volume_flow, dt_3d, &
	112	gathered_size, ibc_p_b, ibc_p_t, intermediate_timestep_count, &
[1908]	113	intermediate_timestep_count_max, mg_switch_to_pe0_level, &
	114	nest_domain, nest_bound_l, nest_bound_n, nest_bound_r, &
	115	nest_bound_s, on_device, outflow_l, outflow_n, outflow_r, &
	116	outflow_s, psolver, simulated_time, subdomain_size, topography, &
	117	volume_flow, volume_flow_area, volume_flow_initial
[1320]	118
	119	USE cpulog, &
	120	ONLY: cpu_log, log_point, log_point_s
	121
	122	USE grid_variables, &
	123	ONLY: ddx, ddy
	124
	125	USE indices, &
	126	ONLY: nbgp, ngp_2dh_outer, nx, nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, &
	127	ny, nys, nysg, nys_mg, nyn, nyng, nyn_mg, nzb, nzb_s_inner, &
[1845]	128	nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt, nzt_mg, &
[1320]	129	rflags_s_inner
	130
	131	USE kinds
	132
[1]	133	USE pegrid
	134
[1320]	135	USE poisfft_mod, &
	136	ONLY: poisfft
	137
[1575]	138	USE poismg_mod
	139
[1320]	140	USE statistics, &
	141	ONLY: statistic_regions, sums_divnew_l, sums_divold_l, weight_pres, &
	142	weight_substep
	143
[1]	144	IMPLICIT NONE
	145
[1682]	146	INTEGER(iwp) :: i !<
	147	INTEGER(iwp) :: j !<
	148	INTEGER(iwp) :: k !<
[1]	149
[1682]	150	REAL(wp) :: ddt_3d !<
	151	REAL(wp) :: localsum !<
	152	REAL(wp) :: threadsum !<
	153	REAL(wp) :: d_weight_pres !<
[1]	154
[1762]	155	REAL(wp), DIMENSION(1:3) :: volume_flow_l !<
	156	REAL(wp), DIMENSION(1:3) :: volume_flow_offset !<
[1682]	157	REAL(wp), DIMENSION(1:nzt) :: w_l !<
	158	REAL(wp), DIMENSION(1:nzt) :: w_l_l !<
[1]	159
	160
	161	CALL cpu_log( log_point(8), 'pres', 'start' )
	162
[85]	163
[1342]	164	ddt_3d = 1.0_wp / dt_3d
	165	d_weight_pres = 1.0_wp / weight_pres(intermediate_timestep_count)
[85]	166
[1]	167	!
[707]	168	!-- Multigrid method expects array d to have one ghost layer.
	169	!--
[1575]	170	IF ( psolver(1:9) == 'multigrid' ) THEN
[667]	171
[1]	172	DEALLOCATE( d )
[667]	173	ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
[707]	174
	175	!
	176	!-- Since p is later used to hold the weighted average of the substeps, it
	177	!-- cannot be used in the iterative solver. Therefore, its initial value is
	178	!-- stored on p_loc, which is then iteratively advanced in every substep.
[1762]	179	IF ( intermediate_timestep_count <= 1 ) THEN
[707]	180	DO i = nxl-1, nxr+1
	181	DO j = nys-1, nyn+1
	182	DO k = nzb, nzt+1
	183	p_loc(k,j,i) = p(k,j,i)
	184	ENDDO
	185	ENDDO
	186	ENDDO
[667]	187	ENDIF
	188
[707]	189	ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count == 1 ) THEN
	190
	191	!
	192	!-- Since p is later used to hold the weighted average of the substeps, it
	193	!-- cannot be used in the iterative solver. Therefore, its initial value is
	194	!-- stored on p_loc, which is then iteratively advanced in every substep.
	195	p_loc = p
	196
[1]	197	ENDIF
	198
	199	!
[75]	200	!-- Conserve the volume flow at the outflow in case of non-cyclic lateral
	201	!-- boundary conditions
[106]	202	!-- WARNING: so far, this conservation does not work at the left/south
	203	!-- boundary if the topography at the inflow differs from that at the
	204	!-- outflow! For this case, volume_flow_area needs adjustment!
	205	!
	206	!-- Left/right
[709]	207	IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN
[680]	208
[1342]	209	volume_flow(1) = 0.0_wp
	210	volume_flow_l(1) = 0.0_wp
[106]	211
	212	IF ( outflow_l ) THEN
	213	i = 0
	214	ELSEIF ( outflow_r ) THEN
	215	i = nx+1
	216	ENDIF
	217
	218	DO j = nys, nyn
	219	!
	220	!-- Sum up the volume flow through the south/north boundary
[1845]	221	DO k = nzb_u_inner(j,i)+1, nzt
[667]	222	volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k)
[106]	223	ENDDO
	224	ENDDO
	225
	226	#if defined( __parallel )
[680]	227	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
[106]	228	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, &
	229	MPI_SUM, comm1dy, ierr )
	230	#else
	231	volume_flow = volume_flow_l
	232	#endif
[709]	233	volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) &
[106]	234	/ volume_flow_area(1)
	235
[667]	236	DO j = nysg, nyng
[1845]	237	DO k = nzb_u_inner(j,i)+1, nzt
[106]	238	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
	239	ENDDO
	240	ENDDO
	241
	242	ENDIF
	243
	244	!
	245	!-- South/north
[709]	246	IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN
[106]	247
[1342]	248	volume_flow(2) = 0.0_wp
	249	volume_flow_l(2) = 0.0_wp
[75]	250
[106]	251	IF ( outflow_s ) THEN
	252	j = 0
	253	ELSEIF ( outflow_n ) THEN
[75]	254	j = ny+1
[106]	255	ENDIF
	256
	257	DO i = nxl, nxr
[75]	258	!
[106]	259	!-- Sum up the volume flow through the south/north boundary
[1845]	260	DO k = nzb_v_inner(j,i)+1, nzt
[667]	261	volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k)
[75]	262	ENDDO
[106]	263	ENDDO
	264
[75]	265	#if defined( __parallel )
[680]	266	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
[75]	267	CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, &
	268	MPI_SUM, comm1dx, ierr )
	269	#else
	270	volume_flow = volume_flow_l
	271	#endif
	272	volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) &
[106]	273	/ volume_flow_area(2)
[75]	274
[667]	275	DO i = nxlg, nxrg
[709]	276	DO k = nzb_v_inner(j,i)+1, nzt
[106]	277	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
[75]	278	ENDDO
[106]	279	ENDDO
[75]	280
	281	ENDIF
	282
[76]	283	!
[1762]	284	!-- Remove mean vertical velocity in case that Neumann conditions are
	285	!-- used both at bottom and top boundary, and if not a nested domain
	286	IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 .AND. .NOT. nest_domain) THEN
[1342]	287	IF ( simulated_time > 0.0_wp ) THEN ! otherwise nzb_w_inner not yet known
	288	w_l = 0.0_wp; w_l_l = 0.0_wp
[76]	289	DO i = nxl, nxr
	290	DO j = nys, nyn
	291	DO k = nzb_w_inner(j,i)+1, nzt
	292	w_l_l(k) = w_l_l(k) + w(k,j,i)
	293	ENDDO
	294	ENDDO
	295	ENDDO
	296	#if defined( __parallel )
[622]	297	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[709]	298	CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, &
	299	comm2d, ierr )
[76]	300	#else
	301	w_l = w_l_l
	302	#endif
	303	DO k = 1, nzt
	304	w_l(k) = w_l(k) / ngp_2dh_outer(k,0)
	305	ENDDO
[667]	306	DO i = nxlg, nxrg
	307	DO j = nysg, nyng
[76]	308	DO k = nzb_w_inner(j,i)+1, nzt
	309	w(k,j,i) = w(k,j,i) - w_l(k)
	310	ENDDO
	311	ENDDO
	312	ENDDO
	313	ENDIF
	314	ENDIF
[75]	315
	316	!
[1]	317	!-- Compute the divergence of the provisional velocity field.
	318	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	319
[1575]	320	IF ( psolver(1:9) == 'multigrid' ) THEN
[1]	321	!$OMP PARALLEL DO SCHEDULE( STATIC )
	322	DO i = nxl-1, nxr+1
	323	DO j = nys-1, nyn+1
	324	DO k = nzb, nzt+1
[1342]	325	d(k,j,i) = 0.0_wp
[1]	326	ENDDO
	327	ENDDO
	328	ENDDO
	329	ELSE
	330	!$OMP PARALLEL DO SCHEDULE( STATIC )
[1111]	331	!$acc kernels present( d )
[1003]	332	DO i = nxl, nxr
	333	DO j = nys, nyn
	334	DO k = nzb+1, nzt
[1342]	335	d(k,j,i) = 0.0_wp
[1]	336	ENDDO
	337	ENDDO
	338	ENDDO
[1111]	339	!$acc end kernels
[1]	340	ENDIF
	341
[1342]	342	localsum = 0.0_wp
	343	threadsum = 0.0_wp
[1]	344
	345	#if defined( __ibm )
	346	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	347	!$OMP DO SCHEDULE( STATIC )
	348	DO i = nxl, nxr
	349	DO j = nys, nyn
	350	DO k = nzb_s_inner(j,i)+1, nzt
[85]	351	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	352	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
[673]	353	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	354	* d_weight_pres
[1]	355	ENDDO
	356	!
	357	!-- Compute possible PE-sum of divergences for flow_statistics
	358	DO k = nzb_s_inner(j,i)+1, nzt
	359	threadsum = threadsum + ABS( d(k,j,i) )
	360	ENDDO
	361
	362	ENDDO
	363	ENDDO
	364
[1908]	365	IF ( intermediate_timestep_count == intermediate_timestep_count_max ) THEN
	366	localsum = localsum + threadsum * dt_3d * &
	367	weight_pres(intermediate_timestep_count)
	368	ENDIF
[1]	369	!$OMP END PARALLEL
	370	#else
	371
[1111]	372	!$OMP PARALLEL PRIVATE (i,j,k)
	373	!$OMP DO SCHEDULE( STATIC )
[1221]	374	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
	375	!$acc loop collapse( 3 )
[1111]	376	DO i = nxl, nxr
	377	DO j = nys, nyn
	378	DO k = 1, nzt
[1221]	379	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	380	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	381	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	382	* d_weight_pres * rflags_s_inner(k,j,i)
[1]	383	ENDDO
	384	ENDDO
[1111]	385	ENDDO
	386	!$acc end kernels
	387	!$OMP END PARALLEL
[1]	388
	389	!
[1908]	390	!-- Compute possible PE-sum of divergences for flow_statistics. Carry out
	391	!-- computation only at last Runge-Kutta substep.
	392	IF ( intermediate_timestep_count == intermediate_timestep_count_max ) THEN
	393	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	394	!$OMP DO SCHEDULE( STATIC )
	395	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
	396	DO i = nxl, nxr
	397	DO j = nys, nyn
	398	DO k = nzb+1, nzt
	399	threadsum = threadsum + ABS( d(k,j,i) )
	400	ENDDO
[1]	401	ENDDO
	402	ENDDO
[1908]	403	!$acc end parallel loop
	404	localsum = localsum + threadsum * dt_3d * &
	405	weight_pres(intermediate_timestep_count)
	406	!$OMP END PARALLEL
	407	ENDIF
[1]	408	#endif
	409
	410	!
	411	!-- For completeness, set the divergence sum of all statistic regions to those
	412	!-- of the total domain
[1908]	413	IF ( intermediate_timestep_count == intermediate_timestep_count_max ) &
	414	sums_divold_l(0:statistic_regions) = localsum
[1]	415
	416	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
	417
	418	!
	419	!-- Compute the pressure perturbation solving the Poisson equation
[1575]	420	IF ( psolver == 'poisfft' ) THEN
[1]	421
	422	!
	423	!-- Solve Poisson equation via FFT and solution of tridiagonal matrices
[1575]	424	CALL poisfft( d )
[1212]	425
[1]	426	!
	427	!-- Store computed perturbation pressure and set boundary condition in
	428	!-- z-direction
	429	!$OMP PARALLEL DO
[1113]	430	!$acc kernels present( d, tend )
[1]	431	DO i = nxl, nxr
	432	DO j = nys, nyn
	433	DO k = nzb+1, nzt
	434	tend(k,j,i) = d(k,j,i)
	435	ENDDO
	436	ENDDO
	437	ENDDO
[1113]	438	!$acc end kernels
[1]	439
	440	!
	441	!-- Bottom boundary:
	442	!-- This condition is only required for internal output. The pressure
	443	!-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else.
	444	IF ( ibc_p_b == 1 ) THEN
	445	!
	446	!-- Neumann (dp/dz = 0)
	447	!$OMP PARALLEL DO
[1113]	448	!$acc kernels present( nzb_s_inner, tend )
[667]	449	DO i = nxlg, nxrg
	450	DO j = nysg, nyng
[1]	451	tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i)
	452	ENDDO
	453	ENDDO
[1113]	454	!$acc end kernels
[1]	455
	456	ELSE
	457	!
	458	!-- Dirichlet
	459	!$OMP PARALLEL DO
[1113]	460	!$acc kernels present( tend )
[667]	461	DO i = nxlg, nxrg
	462	DO j = nysg, nyng
[1342]	463	tend(nzb_s_inner(j,i),j,i) = 0.0_wp
[1]	464	ENDDO
	465	ENDDO
[1113]	466	!$acc end kernels
[1]	467
	468	ENDIF
	469
	470	!
	471	!-- Top boundary
	472	IF ( ibc_p_t == 1 ) THEN
	473	!
	474	!-- Neumann
	475	!$OMP PARALLEL DO
[1113]	476	!$acc kernels present( tend )
[667]	477	DO i = nxlg, nxrg
	478	DO j = nysg, nyng
[1]	479	tend(nzt+1,j,i) = tend(nzt,j,i)
	480	ENDDO
	481	ENDDO
[1113]	482	!$acc end kernels
[1]	483
	484	ELSE
	485	!
	486	!-- Dirichlet
	487	!$OMP PARALLEL DO
[1113]	488	!$acc kernels present( tend )
[667]	489	DO i = nxlg, nxrg
	490	DO j = nysg, nyng
[1342]	491	tend(nzt+1,j,i) = 0.0_wp
[1]	492	ENDDO
	493	ENDDO
[1113]	494	!$acc end kernels
[1]	495
	496	ENDIF
	497
	498	!
	499	!-- Exchange boundaries for p
[1113]	500	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	501	on_device = .TRUE. ! to be removed after complete porting
	502	ELSE ! of ghost point exchange
	503	!$acc update host( tend )
	504	ENDIF
[667]	505	CALL exchange_horiz( tend, nbgp )
[1113]	506	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	507	on_device = .FALSE. ! to be removed after complete porting
	508	ELSE ! of ghost point exchange
	509	!$acc update device( tend )
	510	ENDIF
[1]	511
	512	ELSEIF ( psolver == 'sor' ) THEN
	513
	514	!
	515	!-- Solve Poisson equation for perturbation pressure using SOR-Red/Black
	516	!-- scheme
[707]	517	CALL sor( d, ddzu_pres, ddzw, p_loc )
	518	tend = p_loc
[1]	519
[1575]	520	ELSEIF ( psolver(1:9) == 'multigrid' ) THEN
[1]	521
	522	!
	523	!-- Solve Poisson equation for perturbation pressure using Multigrid scheme,
[667]	524	!-- array tend is used to store the residuals, logical exchange_mg is used
	525	!-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid
	526	!-- ( nbgp ghost points ).
[778]	527
	528	!-- If the number of grid points of the gathered grid, which is collected
	529	!-- on PE0, is larger than the number of grid points of an PE, than array
	530	!-- tend will be enlarged.
	531	IF ( gathered_size > subdomain_size ) THEN
	532	DEALLOCATE( tend )
	533	ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( &
	534	mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,&
	535	nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( &
	536	mg_switch_to_pe0_level)+1) )
	537	ENDIF
	538
[1575]	539	IF ( psolver == 'multigrid' ) THEN
	540	CALL poismg( tend )
	541	ELSE
	542	CALL poismg_fast( tend )
	543	ENDIF
[707]	544
[778]	545	IF ( gathered_size > subdomain_size ) THEN
	546	DEALLOCATE( tend )
	547	ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	548	ENDIF
	549
[1]	550	!
	551	!-- Restore perturbation pressure on tend because this array is used
	552	!-- further below to correct the velocity fields
[707]	553	DO i = nxl-1, nxr+1
	554	DO j = nys-1, nyn+1
	555	DO k = nzb, nzt+1
	556	tend(k,j,i) = p_loc(k,j,i)
	557	ENDDO
	558	ENDDO
	559	ENDDO
[667]	560
[1]	561	ENDIF
	562
	563	!
[707]	564	!-- Store perturbation pressure on array p, used for pressure data output.
	565	!-- Ghost layers are added in the output routines (except sor-method: see below)
	566	IF ( intermediate_timestep_count == 1 ) THEN
	567	!$OMP PARALLEL PRIVATE (i,j,k)
	568	!$OMP DO
[1113]	569	!$acc kernels present( p, tend, weight_substep )
[1257]	570	!$acc loop independent
[707]	571	DO i = nxl-1, nxr+1
[1257]	572	!$acc loop independent
[707]	573	DO j = nys-1, nyn+1
[1257]	574	!$acc loop independent
[707]	575	DO k = nzb, nzt+1
	576	p(k,j,i) = tend(k,j,i) * &
	577	weight_substep(intermediate_timestep_count)
[673]	578	ENDDO
[1]	579	ENDDO
[707]	580	ENDDO
[1113]	581	!$acc end kernels
[707]	582	!$OMP END PARALLEL
	583
[1762]	584	ELSEIF ( intermediate_timestep_count > 1 ) THEN
[707]	585	!$OMP PARALLEL PRIVATE (i,j,k)
	586	!$OMP DO
[1113]	587	!$acc kernels present( p, tend, weight_substep )
[1257]	588	!$acc loop independent
[707]	589	DO i = nxl-1, nxr+1
[1257]	590	!$acc loop independent
[707]	591	DO j = nys-1, nyn+1
[1257]	592	!$acc loop independent
[707]	593	DO k = nzb, nzt+1
	594	p(k,j,i) = p(k,j,i) + tend(k,j,i) * &
	595	weight_substep(intermediate_timestep_count)
[673]	596	ENDDO
	597	ENDDO
[707]	598	ENDDO
[1113]	599	!$acc end kernels
[707]	600	!$OMP END PARALLEL
	601
	602	ENDIF
[673]	603
[707]	604	!
	605	!-- SOR-method needs ghost layers for the next timestep
	606	IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp )
[682]	607
[1]	608	!
	609	!-- Correction of the provisional velocities with the current perturbation
	610	!-- pressure just computed
[709]	611	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN
[1342]	612	volume_flow_l(1) = 0.0_wp
	613	volume_flow_l(2) = 0.0_wp
[1]	614	ENDIF
[707]	615
[1]	616	!$OMP PARALLEL PRIVATE (i,j,k)
	617	!$OMP DO
[1113]	618	!$acc kernels present( ddzu, nzb_u_inner, nzb_v_inner, nzb_w_inner, tend, u, v, w, weight_pres )
[1257]	619	!$acc loop independent
[673]	620	DO i = nxl, nxr
[1257]	621	!$acc loop independent
[1]	622	DO j = nys, nyn
[1257]	623	!$acc loop independent
[1113]	624	DO k = 1, nzt
	625	IF ( k > nzb_w_inner(j,i) ) THEN
	626	w(k,j,i) = w(k,j,i) - dt_3d * &
	627	( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) * &
	628	weight_pres(intermediate_timestep_count)
	629	ENDIF
[1]	630	ENDDO
[1257]	631	!$acc loop independent
[1113]	632	DO k = 1, nzt
	633	IF ( k > nzb_u_inner(j,i) ) THEN
	634	u(k,j,i) = u(k,j,i) - dt_3d * &
	635	( tend(k,j,i) - tend(k,j,i-1) ) * ddx * &
	636	weight_pres(intermediate_timestep_count)
	637	ENDIF
[1]	638	ENDDO
[1257]	639	!$acc loop independent
[1113]	640	DO k = 1, nzt
	641	IF ( k > nzb_v_inner(j,i) ) THEN
	642	v(k,j,i) = v(k,j,i) - dt_3d * &
	643	( tend(k,j,i) - tend(k,j-1,i) ) * ddy * &
	644	weight_pres(intermediate_timestep_count)
	645	ENDIF
[673]	646	ENDDO
[1]	647
	648	ENDDO
	649	ENDDO
[1113]	650	!$acc end kernels
[1]	651	!$OMP END PARALLEL
[1113]	652
	653	!
	654	!-- Sum up the volume flow through the right and north boundary
	655	IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. &
	656	nxr == nx ) THEN
	657
	658	!$OMP PARALLEL PRIVATE (j,k)
	659	!$OMP DO
	660	DO j = nys, nyn
	661	!$OMP CRITICAL
[1845]	662	DO k = nzb_u_inner(j,nx) + 1, nzt
[1113]	663	volume_flow_l(1) = volume_flow_l(1) + u(k,j,nx) * dzw(k)
	664	ENDDO
	665	!$OMP END CRITICAL
	666	ENDDO
	667	!$OMP END PARALLEL
	668
	669	ENDIF
	670
	671	IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. &
	672	nyn == ny ) THEN
	673
	674	!$OMP PARALLEL PRIVATE (i,k)
	675	!$OMP DO
	676	DO i = nxl, nxr
	677	!$OMP CRITICAL
[1845]	678	DO k = nzb_v_inner(ny,i) + 1, nzt
[1113]	679	volume_flow_l(2) = volume_flow_l(2) + v(k,ny,i) * dzw(k)
	680	ENDDO
	681	!$OMP END CRITICAL
	682	ENDDO
	683	!$OMP END PARALLEL
	684
	685	ENDIF
[673]	686
[1]	687	!
	688	!-- Conserve the volume flow
[707]	689	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN
[1]	690
	691	#if defined( __parallel )
[622]	692	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	693	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, &
	694	MPI_SUM, comm2d, ierr )
	695	#else
	696	volume_flow = volume_flow_l
	697	#endif
	698
[1799]	699	volume_flow_offset(1:2) = ( volume_flow_initial(1:2) - volume_flow(1:2) ) / &
	700	volume_flow_area(1:2)
[1]	701
	702	!$OMP PARALLEL PRIVATE (i,j,k)
	703	!$OMP DO
	704	DO i = nxl, nxr
	705	DO j = nys, nyn
[667]	706	DO k = nzb_u_inner(j,i) + 1, nzt
	707	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
[719]	708	ENDDO
[1845]	709	DO k = nzb_v_inner(j,i) + 1, nzt
[667]	710	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
	711	ENDDO
[1]	712	ENDDO
	713	ENDDO
[667]	714
[1]	715	!$OMP END PARALLEL
	716
	717	ENDIF
	718
	719	!
	720	!-- Exchange of boundaries for the velocities
[1113]	721	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	722	on_device = .TRUE. ! to be removed after complete porting
	723	ELSE ! of ghost point exchange
	724	!$acc update host( u, v, w )
	725	ENDIF
[667]	726	CALL exchange_horiz( u, nbgp )
	727	CALL exchange_horiz( v, nbgp )
	728	CALL exchange_horiz( w, nbgp )
[1113]	729	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	730	on_device = .FALSE. ! to be removed after complete porting
	731	ELSE ! of ghost point exchange
	732	!$acc update device( u, v, w )
	733	ENDIF
[1]	734
	735	!
	736	!-- Compute the divergence of the corrected velocity field,
[1908]	737	!-- A possible PE-sum is computed in flow_statistics. Carry out computation
	738	!-- only at last Runge-Kutta step.
	739	IF ( intermediate_timestep_count == intermediate_timestep_count_max ) THEN
	740	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	741	sums_divnew_l = 0.0_wp
[1]	742
	743	!
[1908]	744	!-- d must be reset to zero because it can contain nonzero values below the
	745	!-- topography
	746	IF ( topography /= 'flat' ) d = 0.0_wp
[1]	747
[1908]	748	localsum = 0.0_wp
	749	threadsum = 0.0_wp
[1]	750
[1908]	751	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	752	!$OMP DO SCHEDULE( STATIC )
[1]	753	#if defined( __ibm )
[1908]	754	DO i = nxl, nxr
	755	DO j = nys, nyn
	756	DO k = nzb_s_inner(j,i)+1, nzt
	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	ENDDO
	761	DO k = nzb+1, nzt
	762	threadsum = threadsum + ABS( d(k,j,i) )
	763	ENDDO
[1]	764	ENDDO
	765	ENDDO
	766	#else
[1908]	767	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
	768	!$acc loop collapse( 3 )
	769	DO i = nxl, nxr
	770	DO j = nys, nyn
	771	DO k = 1, nzt
	772	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	773	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	774	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
	775	) * rflags_s_inner(k,j,i)
	776	ENDDO
[1113]	777	ENDDO
	778	ENDDO
[1908]	779	!$acc end kernels
[1113]	780	!
[1908]	781	!-- Compute possible PE-sum of divergences for flow_statistics
	782	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
	783	DO i = nxl, nxr
	784	DO j = nys, nyn
	785	DO k = nzb+1, nzt
	786	threadsum = threadsum + ABS( d(k,j,i) )
	787	ENDDO
[1]	788	ENDDO
	789	ENDDO
[1908]	790	!$acc end parallel loop
[1]	791	#endif
[667]	792
[1908]	793	localsum = localsum + threadsum
	794	!$OMP END PARALLEL
[1]	795
	796	!
[1908]	797	!-- For completeness, set the divergence sum of all statistic regions to those
	798	!-- of the total domain
	799	sums_divnew_l(0:statistic_regions) = localsum
[1]	800
[1908]	801	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
[1]	802
[1908]	803	ENDIF
	804
[1]	805	CALL cpu_log( log_point(8), 'pres', 'stop' )
	806
	807
	808	END SUBROUTINE pres

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