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source: palm/trunk/SOURCE/pres.f90 @ 1905

Last change on this file since 1905 was 1846, checked in by raasch, 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	!
[1818]	16	! Copyright 1997-2016 Leibniz Universitaet Hannover
[1036]	17	!--------------------------------------------------------------------------------!
	18	!
[484]	19	! Current revisions:
[1212]	20	! ------------------
[1683]	21	!
[1846]	22	!
[1321]	23	! Former revisions:
	24	! -----------------
	25	! $Id: pres.f90 1846 2016-04-08 08:30:46Z suehring $
	26	!
[1846]	27	! 1845 2016-04-08 08:29:13Z raasch
	28	! nzb_2d replace by nzb_u\|v_inner
	29	!
[1800]	30	! 1799 2016-04-05 08:35:55Z gronemeier
	31	! Bugfix: excluded third dimension from horizontal volume flow calculation
	32	!
[1763]	33	! 1762 2016-02-25 12:31:13Z hellstea
	34	! Introduction of nested domain feature
	35	!
[1683]	36	! 1682 2015-10-07 23:56:08Z knoop
	37	! Code annotations made doxygen readable
	38	!
[1576]	39	! 1575 2015-03-27 09:56:27Z raasch
	40	! poismg_fast + respective module added, adjustments for psolver-queries
	41	!
[1343]	42	! 1342 2014-03-26 17:04:47Z kanani
	43	! REAL constants defined as wp-kind
	44	!
[1321]	45	! 1320 2014-03-20 08:40:49Z raasch
[1320]	46	! ONLY-attribute added to USE-statements,
	47	! kind-parameters added to all INTEGER and REAL declaration statements,
	48	! kinds are defined in new module kinds,
	49	! old module precision_kind is removed,
	50	! revision history before 2012 removed,
	51	! comment fields (!:) to be used for variable explanations added to
	52	! all variable declaration statements
[708]	53	!
[1319]	54	! 1318 2014-03-17 13:35:16Z raasch
	55	! module interfaces removed
	56	!
[1307]	57	! 1306 2014-03-13 14:30:59Z raasch
	58	! second argument removed from routine poisfft
	59	!
[1258]	60	! 1257 2013-11-08 15:18:40Z raasch
	61	! openacc loop and loop vector clauses removed, independent clauses added,
	62	! end parallel replaced by end parallel loop
	63	!
[1222]	64	! 1221 2013-09-10 08:59:13Z raasch
	65	! openACC porting of reduction operations, loops for calculating d are
	66	! using the rflags_s_inner multiply flag instead of the nzb_s_inner loop index
	67	!
[1213]	68	! 1212 2013-08-15 08:46:27Z raasch
	69	! call of poisfft_hybrid removed
	70	!
[1118]	71	! 1117 2013-03-27 11:15:36Z suehring
	72	! Bugfix in OpenMP parallelization.
	73	!
[1114]	74	! 1113 2013-03-10 02:48:14Z raasch
	75	! GPU-porting of several loops, some loops rearranged
	76	!
[1112]	77	! 1111 2013-03-08 23:54:10Z
	78	! openACC statements added,
	79	! ibc_p_b = 2 removed
	80	!
[1093]	81	! 1092 2013-02-02 11:24:22Z raasch
	82	! unused variables removed
	83	!
[1037]	84	! 1036 2012-10-22 13:43:42Z raasch
	85	! code put under GPL (PALM 3.9)
	86	!
[1004]	87	! 1003 2012-09-14 14:35:53Z raasch
	88	! adjustment of array tend for cases with unequal subdomain sizes removed
	89	!
[1]	90	! Revision 1.1 1997/07/24 11:24:44 raasch
	91	! Initial revision
	92	!
	93	!
	94	! Description:
	95	! ------------
[1682]	96	!> Compute the divergence of the provisional velocity field. Solve the Poisson
	97	!> equation for the perturbation pressure. Compute the final velocities using
	98	!> this perturbation pressure. Compute the remaining divergence.
[1]	99	!------------------------------------------------------------------------------!
[1682]	100	SUBROUTINE pres
	101
[1]	102
[1320]	103	USE arrays_3d, &
	104	ONLY: d, ddzu, ddzu_pres, ddzw, dzw, p, p_loc, tend, u, v, w
	105
	106	USE control_parameters, &
	107	ONLY: bc_lr_cyc, bc_ns_cyc, conserve_volume_flow, dt_3d, &
	108	gathered_size, ibc_p_b, ibc_p_t, intermediate_timestep_count, &
[1762]	109	mg_switch_to_pe0_level, nest_domain, nest_bound_l, &
	110	nest_bound_n, nest_bound_r, nest_bound_s, on_device, outflow_l, &
	111	outflow_n, outflow_r, outflow_s, psolver, simulated_time, &
	112	subdomain_size, topography, volume_flow, volume_flow_area, &
	113	volume_flow_initial
[1320]	114
	115	USE cpulog, &
	116	ONLY: cpu_log, log_point, log_point_s
	117
	118	USE grid_variables, &
	119	ONLY: ddx, ddy
	120
	121	USE indices, &
	122	ONLY: nbgp, ngp_2dh_outer, nx, nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, &
	123	ny, nys, nysg, nys_mg, nyn, nyng, nyn_mg, nzb, nzb_s_inner, &
[1845]	124	nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt, nzt_mg, &
[1320]	125	rflags_s_inner
	126
	127	USE kinds
	128
[1]	129	USE pegrid
	130
[1320]	131	USE poisfft_mod, &
	132	ONLY: poisfft
	133
[1575]	134	USE poismg_mod
	135
[1320]	136	USE statistics, &
	137	ONLY: statistic_regions, sums_divnew_l, sums_divold_l, weight_pres, &
	138	weight_substep
	139
[1]	140	IMPLICIT NONE
	141
[1682]	142	INTEGER(iwp) :: i !<
	143	INTEGER(iwp) :: j !<
	144	INTEGER(iwp) :: k !<
[1]	145
[1682]	146	REAL(wp) :: ddt_3d !<
	147	REAL(wp) :: localsum !<
	148	REAL(wp) :: threadsum !<
	149	REAL(wp) :: d_weight_pres !<
[1]	150
[1762]	151	REAL(wp), DIMENSION(1:3) :: volume_flow_l !<
	152	REAL(wp), DIMENSION(1:3) :: volume_flow_offset !<
[1682]	153	REAL(wp), DIMENSION(1:nzt) :: w_l !<
	154	REAL(wp), DIMENSION(1:nzt) :: w_l_l !<
[1]	155
	156
	157	CALL cpu_log( log_point(8), 'pres', 'start' )
	158
[85]	159
[1342]	160	ddt_3d = 1.0_wp / dt_3d
	161	d_weight_pres = 1.0_wp / weight_pres(intermediate_timestep_count)
[85]	162
[1]	163	!
[707]	164	!-- Multigrid method expects array d to have one ghost layer.
	165	!--
[1575]	166	IF ( psolver(1:9) == 'multigrid' ) THEN
[667]	167
[1]	168	DEALLOCATE( d )
[667]	169	ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
[707]	170
	171	!
	172	!-- Since p is later used to hold the weighted average of the substeps, it
	173	!-- cannot be used in the iterative solver. Therefore, its initial value is
	174	!-- stored on p_loc, which is then iteratively advanced in every substep.
[1762]	175	IF ( intermediate_timestep_count <= 1 ) THEN
[707]	176	DO i = nxl-1, nxr+1
	177	DO j = nys-1, nyn+1
	178	DO k = nzb, nzt+1
	179	p_loc(k,j,i) = p(k,j,i)
	180	ENDDO
	181	ENDDO
	182	ENDDO
[667]	183	ENDIF
	184
[707]	185	ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count == 1 ) THEN
	186
	187	!
	188	!-- Since p is later used to hold the weighted average of the substeps, it
	189	!-- cannot be used in the iterative solver. Therefore, its initial value is
	190	!-- stored on p_loc, which is then iteratively advanced in every substep.
	191	p_loc = p
	192
[1]	193	ENDIF
	194
	195	!
[75]	196	!-- Conserve the volume flow at the outflow in case of non-cyclic lateral
	197	!-- boundary conditions
[106]	198	!-- WARNING: so far, this conservation does not work at the left/south
	199	!-- boundary if the topography at the inflow differs from that at the
	200	!-- outflow! For this case, volume_flow_area needs adjustment!
	201	!
	202	!-- Left/right
[709]	203	IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN
[680]	204
[1342]	205	volume_flow(1) = 0.0_wp
	206	volume_flow_l(1) = 0.0_wp
[106]	207
	208	IF ( outflow_l ) THEN
	209	i = 0
	210	ELSEIF ( outflow_r ) THEN
	211	i = nx+1
	212	ENDIF
	213
	214	DO j = nys, nyn
	215	!
	216	!-- Sum up the volume flow through the south/north boundary
[1845]	217	DO k = nzb_u_inner(j,i)+1, nzt
[667]	218	volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k)
[106]	219	ENDDO
	220	ENDDO
	221
	222	#if defined( __parallel )
[680]	223	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
[106]	224	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, &
	225	MPI_SUM, comm1dy, ierr )
	226	#else
	227	volume_flow = volume_flow_l
	228	#endif
[709]	229	volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) &
[106]	230	/ volume_flow_area(1)
	231
[667]	232	DO j = nysg, nyng
[1845]	233	DO k = nzb_u_inner(j,i)+1, nzt
[106]	234	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
	235	ENDDO
	236	ENDDO
	237
	238	ENDIF
	239
	240	!
	241	!-- South/north
[709]	242	IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN
[106]	243
[1342]	244	volume_flow(2) = 0.0_wp
	245	volume_flow_l(2) = 0.0_wp
[75]	246
[106]	247	IF ( outflow_s ) THEN
	248	j = 0
	249	ELSEIF ( outflow_n ) THEN
[75]	250	j = ny+1
[106]	251	ENDIF
	252
	253	DO i = nxl, nxr
[75]	254	!
[106]	255	!-- Sum up the volume flow through the south/north boundary
[1845]	256	DO k = nzb_v_inner(j,i)+1, nzt
[667]	257	volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k)
[75]	258	ENDDO
[106]	259	ENDDO
	260
[75]	261	#if defined( __parallel )
[680]	262	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
[75]	263	CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, &
	264	MPI_SUM, comm1dx, ierr )
	265	#else
	266	volume_flow = volume_flow_l
	267	#endif
	268	volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) &
[106]	269	/ volume_flow_area(2)
[75]	270
[667]	271	DO i = nxlg, nxrg
[709]	272	DO k = nzb_v_inner(j,i)+1, nzt
[106]	273	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
[75]	274	ENDDO
[106]	275	ENDDO
[75]	276
	277	ENDIF
	278
[76]	279	!
[1762]	280	!-- Remove mean vertical velocity in case that Neumann conditions are
	281	!-- used both at bottom and top boundary, and if not a nested domain
	282	IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 .AND. .NOT. nest_domain) THEN
[1342]	283	IF ( simulated_time > 0.0_wp ) THEN ! otherwise nzb_w_inner not yet known
	284	w_l = 0.0_wp; w_l_l = 0.0_wp
[76]	285	DO i = nxl, nxr
	286	DO j = nys, nyn
	287	DO k = nzb_w_inner(j,i)+1, nzt
	288	w_l_l(k) = w_l_l(k) + w(k,j,i)
	289	ENDDO
	290	ENDDO
	291	ENDDO
	292	#if defined( __parallel )
[622]	293	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[709]	294	CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, &
	295	comm2d, ierr )
[76]	296	#else
	297	w_l = w_l_l
	298	#endif
	299	DO k = 1, nzt
	300	w_l(k) = w_l(k) / ngp_2dh_outer(k,0)
	301	ENDDO
[667]	302	DO i = nxlg, nxrg
	303	DO j = nysg, nyng
[76]	304	DO k = nzb_w_inner(j,i)+1, nzt
	305	w(k,j,i) = w(k,j,i) - w_l(k)
	306	ENDDO
	307	ENDDO
	308	ENDDO
	309	ENDIF
	310	ENDIF
[75]	311
	312	!
[1]	313	!-- Compute the divergence of the provisional velocity field.
	314	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	315
[1575]	316	IF ( psolver(1:9) == 'multigrid' ) THEN
[1]	317	!$OMP PARALLEL DO SCHEDULE( STATIC )
	318	DO i = nxl-1, nxr+1
	319	DO j = nys-1, nyn+1
	320	DO k = nzb, nzt+1
[1342]	321	d(k,j,i) = 0.0_wp
[1]	322	ENDDO
	323	ENDDO
	324	ENDDO
	325	ELSE
	326	!$OMP PARALLEL DO SCHEDULE( STATIC )
[1111]	327	!$acc kernels present( d )
[1003]	328	DO i = nxl, nxr
	329	DO j = nys, nyn
	330	DO k = nzb+1, nzt
[1342]	331	d(k,j,i) = 0.0_wp
[1]	332	ENDDO
	333	ENDDO
	334	ENDDO
[1111]	335	!$acc end kernels
[1]	336	ENDIF
	337
[1342]	338	localsum = 0.0_wp
	339	threadsum = 0.0_wp
[1]	340
	341	#if defined( __ibm )
	342	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	343	!$OMP DO SCHEDULE( STATIC )
	344	DO i = nxl, nxr
	345	DO j = nys, nyn
	346	DO k = nzb_s_inner(j,i)+1, nzt
[85]	347	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	348	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
[673]	349	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	350	* d_weight_pres
[1]	351	ENDDO
	352	!
	353	!-- Compute possible PE-sum of divergences for flow_statistics
	354	DO k = nzb_s_inner(j,i)+1, nzt
	355	threadsum = threadsum + ABS( d(k,j,i) )
	356	ENDDO
	357
	358	ENDDO
	359	ENDDO
	360
[707]	361	localsum = localsum + threadsum * dt_3d * &
	362	weight_pres(intermediate_timestep_count)
[693]	363
[1]	364	!$OMP END PARALLEL
	365	#else
	366
[1111]	367	!$OMP PARALLEL PRIVATE (i,j,k)
	368	!$OMP DO SCHEDULE( STATIC )
[1221]	369	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
	370	!$acc loop collapse( 3 )
[1111]	371	DO i = nxl, nxr
	372	DO j = nys, nyn
	373	DO k = 1, nzt
[1221]	374	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	375	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	376	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	377	* d_weight_pres * rflags_s_inner(k,j,i)
[1]	378	ENDDO
	379	ENDDO
[1111]	380	ENDDO
	381	!$acc end kernels
	382	!$OMP END PARALLEL
[1]	383
	384	!
	385	!-- Compute possible PE-sum of divergences for flow_statistics
	386	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	387	!$OMP DO SCHEDULE( STATIC )
[1221]	388	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
[1]	389	DO i = nxl, nxr
	390	DO j = nys, nyn
	391	DO k = nzb+1, nzt
	392	threadsum = threadsum + ABS( d(k,j,i) )
	393	ENDDO
	394	ENDDO
	395	ENDDO
[1257]	396	!$acc end parallel loop
[707]	397	localsum = localsum + threadsum * dt_3d * &
	398	weight_pres(intermediate_timestep_count)
[1]	399	!$OMP END PARALLEL
	400	#endif
	401
	402	!
	403	!-- For completeness, set the divergence sum of all statistic regions to those
	404	!-- of the total domain
	405	sums_divold_l(0:statistic_regions) = localsum
	406
	407	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
	408
	409	!
	410	!-- Compute the pressure perturbation solving the Poisson equation
[1575]	411	IF ( psolver == 'poisfft' ) THEN
[1]	412
	413	!
	414	!-- Solve Poisson equation via FFT and solution of tridiagonal matrices
[1575]	415	CALL poisfft( d )
[1212]	416
[1]	417	!
	418	!-- Store computed perturbation pressure and set boundary condition in
	419	!-- z-direction
	420	!$OMP PARALLEL DO
[1113]	421	!$acc kernels present( d, tend )
[1]	422	DO i = nxl, nxr
	423	DO j = nys, nyn
	424	DO k = nzb+1, nzt
	425	tend(k,j,i) = d(k,j,i)
	426	ENDDO
	427	ENDDO
	428	ENDDO
[1113]	429	!$acc end kernels
[1]	430
	431	!
	432	!-- Bottom boundary:
	433	!-- This condition is only required for internal output. The pressure
	434	!-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else.
	435	IF ( ibc_p_b == 1 ) THEN
	436	!
	437	!-- Neumann (dp/dz = 0)
	438	!$OMP PARALLEL DO
[1113]	439	!$acc kernels present( nzb_s_inner, tend )
[667]	440	DO i = nxlg, nxrg
	441	DO j = nysg, nyng
[1]	442	tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i)
	443	ENDDO
	444	ENDDO
[1113]	445	!$acc end kernels
[1]	446
	447	ELSE
	448	!
	449	!-- Dirichlet
	450	!$OMP PARALLEL DO
[1113]	451	!$acc kernels present( tend )
[667]	452	DO i = nxlg, nxrg
	453	DO j = nysg, nyng
[1342]	454	tend(nzb_s_inner(j,i),j,i) = 0.0_wp
[1]	455	ENDDO
	456	ENDDO
[1113]	457	!$acc end kernels
[1]	458
	459	ENDIF
	460
	461	!
	462	!-- Top boundary
	463	IF ( ibc_p_t == 1 ) THEN
	464	!
	465	!-- Neumann
	466	!$OMP PARALLEL DO
[1113]	467	!$acc kernels present( tend )
[667]	468	DO i = nxlg, nxrg
	469	DO j = nysg, nyng
[1]	470	tend(nzt+1,j,i) = tend(nzt,j,i)
	471	ENDDO
	472	ENDDO
[1113]	473	!$acc end kernels
[1]	474
	475	ELSE
	476	!
	477	!-- Dirichlet
	478	!$OMP PARALLEL DO
[1113]	479	!$acc kernels present( tend )
[667]	480	DO i = nxlg, nxrg
	481	DO j = nysg, nyng
[1342]	482	tend(nzt+1,j,i) = 0.0_wp
[1]	483	ENDDO
	484	ENDDO
[1113]	485	!$acc end kernels
[1]	486
	487	ENDIF
	488
	489	!
	490	!-- Exchange boundaries for p
[1113]	491	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	492	on_device = .TRUE. ! to be removed after complete porting
	493	ELSE ! of ghost point exchange
	494	!$acc update host( tend )
	495	ENDIF
[667]	496	CALL exchange_horiz( tend, nbgp )
[1113]	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	!$acc update device( tend )
	501	ENDIF
[1]	502
	503	ELSEIF ( psolver == 'sor' ) THEN
	504
	505	!
	506	!-- Solve Poisson equation for perturbation pressure using SOR-Red/Black
	507	!-- scheme
[707]	508	CALL sor( d, ddzu_pres, ddzw, p_loc )
	509	tend = p_loc
[1]	510
[1575]	511	ELSEIF ( psolver(1:9) == 'multigrid' ) THEN
[1]	512
	513	!
	514	!-- Solve Poisson equation for perturbation pressure using Multigrid scheme,
[667]	515	!-- array tend is used to store the residuals, logical exchange_mg is used
	516	!-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid
	517	!-- ( nbgp ghost points ).
[778]	518
	519	!-- If the number of grid points of the gathered grid, which is collected
	520	!-- on PE0, is larger than the number of grid points of an PE, than array
	521	!-- tend will be enlarged.
	522	IF ( gathered_size > subdomain_size ) THEN
	523	DEALLOCATE( tend )
	524	ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( &
	525	mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,&
	526	nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( &
	527	mg_switch_to_pe0_level)+1) )
	528	ENDIF
	529
[1575]	530	IF ( psolver == 'multigrid' ) THEN
	531	CALL poismg( tend )
	532	ELSE
	533	CALL poismg_fast( tend )
	534	ENDIF
[707]	535
[778]	536	IF ( gathered_size > subdomain_size ) THEN
	537	DEALLOCATE( tend )
	538	ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	539	ENDIF
	540
[1]	541	!
	542	!-- Restore perturbation pressure on tend because this array is used
	543	!-- further below to correct the velocity fields
[707]	544	DO i = nxl-1, nxr+1
	545	DO j = nys-1, nyn+1
	546	DO k = nzb, nzt+1
	547	tend(k,j,i) = p_loc(k,j,i)
	548	ENDDO
	549	ENDDO
	550	ENDDO
[667]	551
[1]	552	ENDIF
	553
	554	!
[707]	555	!-- Store perturbation pressure on array p, used for pressure data output.
	556	!-- Ghost layers are added in the output routines (except sor-method: see below)
	557	IF ( intermediate_timestep_count == 1 ) THEN
	558	!$OMP PARALLEL PRIVATE (i,j,k)
	559	!$OMP DO
[1113]	560	!$acc kernels present( p, tend, weight_substep )
[1257]	561	!$acc loop independent
[707]	562	DO i = nxl-1, nxr+1
[1257]	563	!$acc loop independent
[707]	564	DO j = nys-1, nyn+1
[1257]	565	!$acc loop independent
[707]	566	DO k = nzb, nzt+1
	567	p(k,j,i) = tend(k,j,i) * &
	568	weight_substep(intermediate_timestep_count)
[673]	569	ENDDO
[1]	570	ENDDO
[707]	571	ENDDO
[1113]	572	!$acc end kernels
[707]	573	!$OMP END PARALLEL
	574
[1762]	575	ELSEIF ( intermediate_timestep_count > 1 ) THEN
[707]	576	!$OMP PARALLEL PRIVATE (i,j,k)
	577	!$OMP DO
[1113]	578	!$acc kernels present( p, tend, weight_substep )
[1257]	579	!$acc loop independent
[707]	580	DO i = nxl-1, nxr+1
[1257]	581	!$acc loop independent
[707]	582	DO j = nys-1, nyn+1
[1257]	583	!$acc loop independent
[707]	584	DO k = nzb, nzt+1
	585	p(k,j,i) = p(k,j,i) + tend(k,j,i) * &
	586	weight_substep(intermediate_timestep_count)
[673]	587	ENDDO
	588	ENDDO
[707]	589	ENDDO
[1113]	590	!$acc end kernels
[707]	591	!$OMP END PARALLEL
	592
	593	ENDIF
[673]	594
[707]	595	!
	596	!-- SOR-method needs ghost layers for the next timestep
	597	IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp )
[682]	598
[1]	599	!
	600	!-- Correction of the provisional velocities with the current perturbation
	601	!-- pressure just computed
[709]	602	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN
[1342]	603	volume_flow_l(1) = 0.0_wp
	604	volume_flow_l(2) = 0.0_wp
[1]	605	ENDIF
[707]	606
[1]	607	!$OMP PARALLEL PRIVATE (i,j,k)
	608	!$OMP DO
[1113]	609	!$acc kernels present( ddzu, nzb_u_inner, nzb_v_inner, nzb_w_inner, tend, u, v, w, weight_pres )
[1257]	610	!$acc loop independent
[673]	611	DO i = nxl, nxr
[1257]	612	!$acc loop independent
[1]	613	DO j = nys, nyn
[1257]	614	!$acc loop independent
[1113]	615	DO k = 1, nzt
	616	IF ( k > nzb_w_inner(j,i) ) THEN
	617	w(k,j,i) = w(k,j,i) - dt_3d * &
	618	( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) * &
	619	weight_pres(intermediate_timestep_count)
	620	ENDIF
[1]	621	ENDDO
[1257]	622	!$acc loop independent
[1113]	623	DO k = 1, nzt
	624	IF ( k > nzb_u_inner(j,i) ) THEN
	625	u(k,j,i) = u(k,j,i) - dt_3d * &
	626	( tend(k,j,i) - tend(k,j,i-1) ) * ddx * &
	627	weight_pres(intermediate_timestep_count)
	628	ENDIF
[1]	629	ENDDO
[1257]	630	!$acc loop independent
[1113]	631	DO k = 1, nzt
	632	IF ( k > nzb_v_inner(j,i) ) THEN
	633	v(k,j,i) = v(k,j,i) - dt_3d * &
	634	( tend(k,j,i) - tend(k,j-1,i) ) * ddy * &
	635	weight_pres(intermediate_timestep_count)
	636	ENDIF
[673]	637	ENDDO
[1]	638
	639	ENDDO
	640	ENDDO
[1113]	641	!$acc end kernels
[1]	642	!$OMP END PARALLEL
[1113]	643
	644	!
	645	!-- Sum up the volume flow through the right and north boundary
	646	IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. &
	647	nxr == nx ) THEN
	648
	649	!$OMP PARALLEL PRIVATE (j,k)
	650	!$OMP DO
	651	DO j = nys, nyn
	652	!$OMP CRITICAL
[1845]	653	DO k = nzb_u_inner(j,nx) + 1, nzt
[1113]	654	volume_flow_l(1) = volume_flow_l(1) + u(k,j,nx) * dzw(k)
	655	ENDDO
	656	!$OMP END CRITICAL
	657	ENDDO
	658	!$OMP END PARALLEL
	659
	660	ENDIF
	661
	662	IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. &
	663	nyn == ny ) THEN
	664
	665	!$OMP PARALLEL PRIVATE (i,k)
	666	!$OMP DO
	667	DO i = nxl, nxr
	668	!$OMP CRITICAL
[1845]	669	DO k = nzb_v_inner(ny,i) + 1, nzt
[1113]	670	volume_flow_l(2) = volume_flow_l(2) + v(k,ny,i) * dzw(k)
	671	ENDDO
	672	!$OMP END CRITICAL
	673	ENDDO
	674	!$OMP END PARALLEL
	675
	676	ENDIF
[673]	677
[1]	678	!
	679	!-- Conserve the volume flow
[707]	680	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN
[1]	681
	682	#if defined( __parallel )
[622]	683	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	684	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, &
	685	MPI_SUM, comm2d, ierr )
	686	#else
	687	volume_flow = volume_flow_l
	688	#endif
	689
[1799]	690	volume_flow_offset(1:2) = ( volume_flow_initial(1:2) - volume_flow(1:2) ) / &
	691	volume_flow_area(1:2)
[1]	692
	693	!$OMP PARALLEL PRIVATE (i,j,k)
	694	!$OMP DO
	695	DO i = nxl, nxr
	696	DO j = nys, nyn
[667]	697	DO k = nzb_u_inner(j,i) + 1, nzt
	698	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
[719]	699	ENDDO
[1845]	700	DO k = nzb_v_inner(j,i) + 1, nzt
[667]	701	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
	702	ENDDO
[1]	703	ENDDO
	704	ENDDO
[667]	705
[1]	706	!$OMP END PARALLEL
	707
	708	ENDIF
	709
	710	!
	711	!-- Exchange of boundaries for the velocities
[1113]	712	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	713	on_device = .TRUE. ! to be removed after complete porting
	714	ELSE ! of ghost point exchange
	715	!$acc update host( u, v, w )
	716	ENDIF
[667]	717	CALL exchange_horiz( u, nbgp )
	718	CALL exchange_horiz( v, nbgp )
	719	CALL exchange_horiz( w, nbgp )
[1113]	720	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	721	on_device = .FALSE. ! to be removed after complete porting
	722	ELSE ! of ghost point exchange
	723	!$acc update device( u, v, w )
	724	ENDIF
[1]	725
	726	!
	727	!-- Compute the divergence of the corrected velocity field,
	728	!-- a possible PE-sum is computed in flow_statistics
	729	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
[1342]	730	sums_divnew_l = 0.0_wp
[1]	731
	732	!
	733	!-- d must be reset to zero because it can contain nonzero values below the
	734	!-- topography
[1342]	735	IF ( topography /= 'flat' ) d = 0.0_wp
[1]	736
[1342]	737	localsum = 0.0_wp
	738	threadsum = 0.0_wp
[1]	739
	740	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	741	!$OMP DO SCHEDULE( STATIC )
	742	#if defined( __ibm )
	743	DO i = nxl, nxr
	744	DO j = nys, nyn
	745	DO k = nzb_s_inner(j,i)+1, nzt
	746	d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	747	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	748	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
	749	ENDDO
	750	DO k = nzb+1, nzt
	751	threadsum = threadsum + ABS( d(k,j,i) )
	752	ENDDO
	753	ENDDO
	754	ENDDO
	755	#else
[1221]	756	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
	757	!$acc loop collapse( 3 )
[1]	758	DO i = nxl, nxr
	759	DO j = nys, nyn
[1113]	760	DO k = 1, nzt
[1221]	761	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	762	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	763	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
	764	) * rflags_s_inner(k,j,i)
[1113]	765	ENDDO
	766	ENDDO
	767	ENDDO
	768	!$acc end kernels
	769	!
	770	!-- Compute possible PE-sum of divergences for flow_statistics
[1221]	771	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
[1113]	772	DO i = nxl, nxr
	773	DO j = nys, nyn
[1221]	774	DO k = nzb+1, nzt
[1]	775	threadsum = threadsum + ABS( d(k,j,i) )
	776	ENDDO
	777	ENDDO
	778	ENDDO
[1257]	779	!$acc end parallel loop
[1]	780	#endif
[667]	781
[1]	782	localsum = localsum + threadsum
	783	!$OMP END PARALLEL
	784
	785	!
	786	!-- For completeness, set the divergence sum of all statistic regions to those
	787	!-- of the total domain
	788	sums_divnew_l(0:statistic_regions) = localsum
	789
	790	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
	791
	792	CALL cpu_log( log_point(8), 'pres', 'stop' )
	793
	794
	795	END SUBROUTINE pres

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