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source: palm/trunk/SOURCE/pres.f90 @ 2020

Last change on this file since 2020 was 2001, checked in by knoop, 8 years ago
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[1682]	1	!> @file pres.f90
[2000]	2	!------------------------------------------------------------------------------!
[1036]	3	! This file is part of PALM.
	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1036]	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	!
[1818]	17	! Copyright 1997-2016 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[484]	20	! Current revisions:
[1212]	21	! ------------------
[1932]	22	!
[2001]	23	!
[1919]	24	! Former revisions:
	25	! -----------------
	26	! $Id: pres.f90 2001 2016-08-20 18:41:22Z hellstea $
	27	!
[2001]	28	! 2000 2016-08-20 18:09:15Z knoop
	29	! Forced header and separation lines into 80 columns
	30	!
[1933]	31	! 1932 2016-06-10 12:09:21Z suehring
	32	! Initial version of purely vertical nesting introduced.
	33	!
[1932]	34	! 1931 2016-06-10 12:06:59Z suehring
	35	! Rename multigrid into multigrid_noopt and multigrid_fast into multigrid
	36	!
[1930]	37	! 1929 2016-06-09 16:25:25Z suehring
	38	! Bugfix: weight_substep for initial call, replace by local variable
	39	!
[1919]	40	! 1918 2016-05-27 14:35:57Z raasch
[1918]	41	! sum of divergence is also calculated when pres is called before the initial
	42	! first time step,
	43	! stearing is modified by using intermediate_timestep_count = 0 in order to
	44	! determine if pres is called before the first initial timestep,
	45	! bugfix: in case of Neumann conditions for pressure both at bottom and top,
	46	! mean vertical velocity is also removed for the first time step
	47	! bugfix for calculating divergences
[1321]	48	!
[1909]	49	! 1908 2016-05-25 17:22:32Z suehring
	50	! New divergence for output into RUN_CONTROL file is calculated only at last
	51	! Runge-Kutta step
	52	!
[1846]	53	! 1845 2016-04-08 08:29:13Z raasch
	54	! nzb_2d replace by nzb_u\|v_inner
	55	!
[1800]	56	! 1799 2016-04-05 08:35:55Z gronemeier
	57	! Bugfix: excluded third dimension from horizontal volume flow calculation
	58	!
[1763]	59	! 1762 2016-02-25 12:31:13Z hellstea
	60	! Introduction of nested domain feature
	61	!
[1683]	62	! 1682 2015-10-07 23:56:08Z knoop
	63	! Code annotations made doxygen readable
	64	!
[1576]	65	! 1575 2015-03-27 09:56:27Z raasch
	66	! poismg_fast + respective module added, adjustments for psolver-queries
	67	!
[1343]	68	! 1342 2014-03-26 17:04:47Z kanani
	69	! REAL constants defined as wp-kind
	70	!
[1321]	71	! 1320 2014-03-20 08:40:49Z raasch
[1320]	72	! ONLY-attribute added to USE-statements,
	73	! kind-parameters added to all INTEGER and REAL declaration statements,
	74	! kinds are defined in new module kinds,
	75	! old module precision_kind is removed,
	76	! revision history before 2012 removed,
	77	! comment fields (!:) to be used for variable explanations added to
	78	! all variable declaration statements
[708]	79	!
[1319]	80	! 1318 2014-03-17 13:35:16Z raasch
	81	! module interfaces removed
	82	!
[1307]	83	! 1306 2014-03-13 14:30:59Z raasch
	84	! second argument removed from routine poisfft
	85	!
[1258]	86	! 1257 2013-11-08 15:18:40Z raasch
	87	! openacc loop and loop vector clauses removed, independent clauses added,
	88	! end parallel replaced by end parallel loop
	89	!
[1222]	90	! 1221 2013-09-10 08:59:13Z raasch
	91	! openACC porting of reduction operations, loops for calculating d are
	92	! using the rflags_s_inner multiply flag instead of the nzb_s_inner loop index
	93	!
[1213]	94	! 1212 2013-08-15 08:46:27Z raasch
	95	! call of poisfft_hybrid removed
	96	!
[1118]	97	! 1117 2013-03-27 11:15:36Z suehring
	98	! Bugfix in OpenMP parallelization.
	99	!
[1114]	100	! 1113 2013-03-10 02:48:14Z raasch
	101	! GPU-porting of several loops, some loops rearranged
	102	!
[1112]	103	! 1111 2013-03-08 23:54:10Z
	104	! openACC statements added,
	105	! ibc_p_b = 2 removed
	106	!
[1093]	107	! 1092 2013-02-02 11:24:22Z raasch
	108	! unused variables removed
	109	!
[1037]	110	! 1036 2012-10-22 13:43:42Z raasch
	111	! code put under GPL (PALM 3.9)
	112	!
[1004]	113	! 1003 2012-09-14 14:35:53Z raasch
	114	! adjustment of array tend for cases with unequal subdomain sizes removed
	115	!
[1]	116	! Revision 1.1 1997/07/24 11:24:44 raasch
	117	! Initial revision
	118	!
	119	!
	120	! Description:
	121	! ------------
[1682]	122	!> Compute the divergence of the provisional velocity field. Solve the Poisson
	123	!> equation for the perturbation pressure. Compute the final velocities using
	124	!> this perturbation pressure. Compute the remaining divergence.
[1]	125	!------------------------------------------------------------------------------!
[1682]	126	SUBROUTINE pres
	127
[1]	128
[1320]	129	USE arrays_3d, &
	130	ONLY: d, ddzu, ddzu_pres, ddzw, dzw, p, p_loc, tend, u, v, w
	131
	132	USE control_parameters, &
	133	ONLY: bc_lr_cyc, bc_ns_cyc, conserve_volume_flow, dt_3d, &
	134	gathered_size, ibc_p_b, ibc_p_t, intermediate_timestep_count, &
[1908]	135	intermediate_timestep_count_max, mg_switch_to_pe0_level, &
[1933]	136	nest_domain, on_device, outflow_l, outflow_n, outflow_r, &
[1918]	137	outflow_s, psolver, subdomain_size, topography, volume_flow, &
	138	volume_flow_area, volume_flow_initial
[1320]	139
	140	USE cpulog, &
	141	ONLY: cpu_log, log_point, log_point_s
	142
	143	USE grid_variables, &
	144	ONLY: ddx, ddy
	145
	146	USE indices, &
	147	ONLY: nbgp, ngp_2dh_outer, nx, nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, &
	148	ny, nys, nysg, nys_mg, nyn, nyng, nyn_mg, nzb, nzb_s_inner, &
[1845]	149	nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt, nzt_mg, &
[1320]	150	rflags_s_inner
	151
	152	USE kinds
	153
[1]	154	USE pegrid
[1933]	155
	156	USE pmc_interface, &
	157	ONLY: nesting_mode
[1]	158
[1320]	159	USE poisfft_mod, &
	160	ONLY: poisfft
	161
[1575]	162	USE poismg_mod
	163
[1320]	164	USE statistics, &
	165	ONLY: statistic_regions, sums_divnew_l, sums_divold_l, weight_pres, &
	166	weight_substep
	167
[1]	168	IMPLICIT NONE
	169
[1682]	170	INTEGER(iwp) :: i !<
	171	INTEGER(iwp) :: j !<
	172	INTEGER(iwp) :: k !<
[1]	173
[1682]	174	REAL(wp) :: ddt_3d !<
[1918]	175	REAL(wp) :: d_weight_pres !<
[1682]	176	REAL(wp) :: localsum !<
	177	REAL(wp) :: threadsum !<
[1918]	178	REAL(wp) :: weight_pres_l !<
[1929]	179	REAL(wp) :: weight_substep_l !<
[1]	180
[1762]	181	REAL(wp), DIMENSION(1:3) :: volume_flow_l !<
	182	REAL(wp), DIMENSION(1:3) :: volume_flow_offset !<
[1682]	183	REAL(wp), DIMENSION(1:nzt) :: w_l !<
	184	REAL(wp), DIMENSION(1:nzt) :: w_l_l !<
[1]	185
[1933]	186	LOGICAL :: nest_domain_nvn !<
[1]	187
[1933]	188
[1]	189	CALL cpu_log( log_point(8), 'pres', 'start' )
	190
[85]	191
[1918]	192	!
	193	!-- Calculate quantities to be used locally
[1342]	194	ddt_3d = 1.0_wp / dt_3d
[1918]	195	IF ( intermediate_timestep_count == 0 ) THEN
	196	!
	197	!-- If pres is called before initial time step
[1929]	198	weight_pres_l = 1.0_wp
	199	d_weight_pres = 1.0_wp
	200	weight_substep_l = 1.0_wp
[1918]	201	ELSE
[1929]	202	weight_pres_l = weight_pres(intermediate_timestep_count)
	203	d_weight_pres = 1.0_wp / weight_pres(intermediate_timestep_count)
	204	weight_substep_l = weight_substep(intermediate_timestep_count)
[1918]	205	ENDIF
[85]	206
[1]	207	!
[707]	208	!-- Multigrid method expects array d to have one ghost layer.
	209	!--
[1575]	210	IF ( psolver(1:9) == 'multigrid' ) THEN
[667]	211
[1]	212	DEALLOCATE( d )
[667]	213	ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
[707]	214
	215	!
	216	!-- Since p is later used to hold the weighted average of the substeps, it
	217	!-- cannot be used in the iterative solver. Therefore, its initial value is
	218	!-- stored on p_loc, which is then iteratively advanced in every substep.
[1762]	219	IF ( intermediate_timestep_count <= 1 ) THEN
[707]	220	DO i = nxl-1, nxr+1
	221	DO j = nys-1, nyn+1
	222	DO k = nzb, nzt+1
	223	p_loc(k,j,i) = p(k,j,i)
	224	ENDDO
	225	ENDDO
	226	ENDDO
[667]	227	ENDIF
	228
[1918]	229	ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count <= 1 ) THEN
[707]	230
	231	!
	232	!-- Since p is later used to hold the weighted average of the substeps, it
	233	!-- cannot be used in the iterative solver. Therefore, its initial value is
	234	!-- stored on p_loc, which is then iteratively advanced in every substep.
	235	p_loc = p
	236
[1]	237	ENDIF
	238
	239	!
[75]	240	!-- Conserve the volume flow at the outflow in case of non-cyclic lateral
	241	!-- boundary conditions
[106]	242	!-- WARNING: so far, this conservation does not work at the left/south
	243	!-- boundary if the topography at the inflow differs from that at the
	244	!-- outflow! For this case, volume_flow_area needs adjustment!
	245	!
	246	!-- Left/right
[709]	247	IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN
[680]	248
[1342]	249	volume_flow(1) = 0.0_wp
	250	volume_flow_l(1) = 0.0_wp
[106]	251
	252	IF ( outflow_l ) THEN
	253	i = 0
	254	ELSEIF ( outflow_r ) THEN
	255	i = nx+1
	256	ENDIF
	257
	258	DO j = nys, nyn
	259	!
	260	!-- Sum up the volume flow through the south/north boundary
[1845]	261	DO k = nzb_u_inner(j,i)+1, nzt
[667]	262	volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k)
[106]	263	ENDDO
	264	ENDDO
	265
	266	#if defined( __parallel )
[680]	267	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
[106]	268	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, &
	269	MPI_SUM, comm1dy, ierr )
	270	#else
	271	volume_flow = volume_flow_l
	272	#endif
[709]	273	volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) &
[106]	274	/ volume_flow_area(1)
	275
[667]	276	DO j = nysg, nyng
[1845]	277	DO k = nzb_u_inner(j,i)+1, nzt
[106]	278	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
	279	ENDDO
	280	ENDDO
	281
	282	ENDIF
	283
	284	!
	285	!-- South/north
[709]	286	IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN
[106]	287
[1342]	288	volume_flow(2) = 0.0_wp
	289	volume_flow_l(2) = 0.0_wp
[75]	290
[106]	291	IF ( outflow_s ) THEN
	292	j = 0
	293	ELSEIF ( outflow_n ) THEN
[75]	294	j = ny+1
[106]	295	ENDIF
	296
	297	DO i = nxl, nxr
[75]	298	!
[106]	299	!-- Sum up the volume flow through the south/north boundary
[1845]	300	DO k = nzb_v_inner(j,i)+1, nzt
[667]	301	volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k)
[75]	302	ENDDO
[106]	303	ENDDO
	304
[75]	305	#if defined( __parallel )
[680]	306	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
[75]	307	CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, &
	308	MPI_SUM, comm1dx, ierr )
	309	#else
	310	volume_flow = volume_flow_l
	311	#endif
	312	volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) &
[106]	313	/ volume_flow_area(2)
[75]	314
[667]	315	DO i = nxlg, nxrg
[709]	316	DO k = nzb_v_inner(j,i)+1, nzt
[106]	317	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
[75]	318	ENDDO
[106]	319	ENDDO
[75]	320
	321	ENDIF
	322
[76]	323	!
[1762]	324	!-- Remove mean vertical velocity in case that Neumann conditions are
[1933]	325	!-- used both at bottom and top boundary, and if not a nested domain in a
	326	!-- normal nesting run. In case of vertical nesting, this must be done.
	327	!-- Therefore an auxiliary logical variable nest_domain_nvn is used here, and
	328	!-- nvn stands for non-vertical nesting.
[1918]	329	!-- This cannot be done before the first initial time step because ngp_2dh_outer
	330	!-- is not yet known then.
[1933]	331	nest_domain_nvn = nest_domain
	332	IF ( nest_domain .AND. nesting_mode == 'vertical' ) THEN
	333	nest_domain_nvn = .FALSE.
	334	ENDIF
	335
	336	IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 .AND. &
	337	.NOT. nest_domain_nvn .AND. intermediate_timestep_count /= 0 ) &
[1918]	338	THEN
	339	w_l = 0.0_wp; w_l_l = 0.0_wp
	340	DO i = nxl, nxr
	341	DO j = nys, nyn
	342	DO k = nzb_w_inner(j,i)+1, nzt
	343	w_l_l(k) = w_l_l(k) + w(k,j,i)
[76]	344	ENDDO
	345	ENDDO
[1918]	346	ENDDO
[76]	347	#if defined( __parallel )
[1918]	348	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	349	CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, &
	350	comm2d, ierr )
[76]	351	#else
[1918]	352	w_l = w_l_l
[76]	353	#endif
[1918]	354	DO k = 1, nzt
	355	w_l(k) = w_l(k) / ngp_2dh_outer(k,0)
	356	ENDDO
	357	DO i = nxlg, nxrg
	358	DO j = nysg, nyng
	359	DO k = nzb_w_inner(j,i)+1, nzt
	360	w(k,j,i) = w(k,j,i) - w_l(k)
[76]	361	ENDDO
	362	ENDDO
[1918]	363	ENDDO
[76]	364	ENDIF
[75]	365
	366	!
[1]	367	!-- Compute the divergence of the provisional velocity field.
	368	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	369
[1575]	370	IF ( psolver(1:9) == 'multigrid' ) THEN
[1]	371	!$OMP PARALLEL DO SCHEDULE( STATIC )
	372	DO i = nxl-1, nxr+1
	373	DO j = nys-1, nyn+1
	374	DO k = nzb, nzt+1
[1342]	375	d(k,j,i) = 0.0_wp
[1]	376	ENDDO
	377	ENDDO
	378	ENDDO
	379	ELSE
	380	!$OMP PARALLEL DO SCHEDULE( STATIC )
[1111]	381	!$acc kernels present( d )
[1003]	382	DO i = nxl, nxr
	383	DO j = nys, nyn
	384	DO k = nzb+1, nzt
[1342]	385	d(k,j,i) = 0.0_wp
[1]	386	ENDDO
	387	ENDDO
	388	ENDDO
[1111]	389	!$acc end kernels
[1]	390	ENDIF
	391
[1342]	392	localsum = 0.0_wp
	393	threadsum = 0.0_wp
[1]	394
	395	#if defined( __ibm )
	396	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	397	!$OMP DO SCHEDULE( STATIC )
	398	DO i = nxl, nxr
	399	DO j = nys, nyn
	400	DO k = nzb_s_inner(j,i)+1, nzt
[85]	401	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	402	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
[673]	403	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	404	* d_weight_pres
[1]	405	ENDDO
	406	!
	407	!-- Compute possible PE-sum of divergences for flow_statistics
	408	DO k = nzb_s_inner(j,i)+1, nzt
	409	threadsum = threadsum + ABS( d(k,j,i) )
	410	ENDDO
	411
	412	ENDDO
	413	ENDDO
	414
[1918]	415	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	416	intermediate_timestep_count == 0 ) THEN
	417	localsum = localsum + threadsum * dt_3d * weight_pres_l
[1908]	418	ENDIF
[1]	419	!$OMP END PARALLEL
	420	#else
	421
[1111]	422	!$OMP PARALLEL PRIVATE (i,j,k)
	423	!$OMP DO SCHEDULE( STATIC )
[1221]	424	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
	425	!$acc loop collapse( 3 )
[1111]	426	DO i = nxl, nxr
	427	DO j = nys, nyn
	428	DO k = 1, nzt
[1221]	429	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	430	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	431	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	432	* d_weight_pres * rflags_s_inner(k,j,i)
[1]	433	ENDDO
	434	ENDDO
[1111]	435	ENDDO
	436	!$acc end kernels
	437	!$OMP END PARALLEL
[1]	438
	439	!
[1908]	440	!-- Compute possible PE-sum of divergences for flow_statistics. Carry out
	441	!-- computation only at last Runge-Kutta substep.
[1918]	442	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	443	intermediate_timestep_count == 0 ) THEN
[1908]	444	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	445	!$OMP DO SCHEDULE( STATIC )
	446	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
	447	DO i = nxl, nxr
	448	DO j = nys, nyn
	449	DO k = nzb+1, nzt
	450	threadsum = threadsum + ABS( d(k,j,i) )
	451	ENDDO
[1]	452	ENDDO
	453	ENDDO
[1908]	454	!$acc end parallel loop
[1918]	455	localsum = localsum + threadsum * dt_3d * weight_pres_l
[1908]	456	!$OMP END PARALLEL
	457	ENDIF
[1]	458	#endif
	459
	460	!
	461	!-- For completeness, set the divergence sum of all statistic regions to those
	462	!-- of the total domain
[1918]	463	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	464	intermediate_timestep_count == 0 ) THEN
[1908]	465	sums_divold_l(0:statistic_regions) = localsum
[1918]	466	ENDIF
[1]	467
	468	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
	469
	470	!
	471	!-- Compute the pressure perturbation solving the Poisson equation
[1575]	472	IF ( psolver == 'poisfft' ) THEN
[1]	473
	474	!
	475	!-- Solve Poisson equation via FFT and solution of tridiagonal matrices
[1575]	476	CALL poisfft( d )
[1212]	477
[1]	478	!
	479	!-- Store computed perturbation pressure and set boundary condition in
	480	!-- z-direction
	481	!$OMP PARALLEL DO
[1113]	482	!$acc kernels present( d, tend )
[1]	483	DO i = nxl, nxr
	484	DO j = nys, nyn
	485	DO k = nzb+1, nzt
	486	tend(k,j,i) = d(k,j,i)
	487	ENDDO
	488	ENDDO
	489	ENDDO
[1113]	490	!$acc end kernels
[1]	491
	492	!
	493	!-- Bottom boundary:
	494	!-- This condition is only required for internal output. The pressure
	495	!-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else.
	496	IF ( ibc_p_b == 1 ) THEN
	497	!
	498	!-- Neumann (dp/dz = 0)
	499	!$OMP PARALLEL DO
[1113]	500	!$acc kernels present( nzb_s_inner, tend )
[667]	501	DO i = nxlg, nxrg
	502	DO j = nysg, nyng
[1]	503	tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i)
	504	ENDDO
	505	ENDDO
[1113]	506	!$acc end kernels
[1]	507
	508	ELSE
	509	!
	510	!-- Dirichlet
	511	!$OMP PARALLEL DO
[1113]	512	!$acc kernels present( tend )
[667]	513	DO i = nxlg, nxrg
	514	DO j = nysg, nyng
[1342]	515	tend(nzb_s_inner(j,i),j,i) = 0.0_wp
[1]	516	ENDDO
	517	ENDDO
[1113]	518	!$acc end kernels
[1]	519
	520	ENDIF
	521
	522	!
	523	!-- Top boundary
	524	IF ( ibc_p_t == 1 ) THEN
	525	!
	526	!-- Neumann
	527	!$OMP PARALLEL DO
[1113]	528	!$acc kernels present( tend )
[667]	529	DO i = nxlg, nxrg
	530	DO j = nysg, nyng
[1]	531	tend(nzt+1,j,i) = tend(nzt,j,i)
	532	ENDDO
	533	ENDDO
[1113]	534	!$acc end kernels
[1]	535
	536	ELSE
	537	!
	538	!-- Dirichlet
	539	!$OMP PARALLEL DO
[1113]	540	!$acc kernels present( tend )
[667]	541	DO i = nxlg, nxrg
	542	DO j = nysg, nyng
[1342]	543	tend(nzt+1,j,i) = 0.0_wp
[1]	544	ENDDO
	545	ENDDO
[1113]	546	!$acc end kernels
[1]	547
	548	ENDIF
	549
	550	!
	551	!-- Exchange boundaries for p
[1113]	552	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	553	on_device = .TRUE. ! to be removed after complete porting
	554	ELSE ! of ghost point exchange
	555	!$acc update host( tend )
	556	ENDIF
[667]	557	CALL exchange_horiz( tend, nbgp )
[1113]	558	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	559	on_device = .FALSE. ! to be removed after complete porting
	560	ELSE ! of ghost point exchange
	561	!$acc update device( tend )
	562	ENDIF
[1]	563
	564	ELSEIF ( psolver == 'sor' ) THEN
	565
	566	!
	567	!-- Solve Poisson equation for perturbation pressure using SOR-Red/Black
	568	!-- scheme
[707]	569	CALL sor( d, ddzu_pres, ddzw, p_loc )
	570	tend = p_loc
[1]	571
[1575]	572	ELSEIF ( psolver(1:9) == 'multigrid' ) THEN
[1]	573
	574	!
	575	!-- Solve Poisson equation for perturbation pressure using Multigrid scheme,
[667]	576	!-- array tend is used to store the residuals, logical exchange_mg is used
	577	!-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid
	578	!-- ( nbgp ghost points ).
[778]	579
	580	!-- If the number of grid points of the gathered grid, which is collected
	581	!-- on PE0, is larger than the number of grid points of an PE, than array
	582	!-- tend will be enlarged.
	583	IF ( gathered_size > subdomain_size ) THEN
	584	DEALLOCATE( tend )
	585	ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( &
	586	mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,&
	587	nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( &
	588	mg_switch_to_pe0_level)+1) )
	589	ENDIF
	590
[1575]	591	IF ( psolver == 'multigrid' ) THEN
	592	CALL poismg( tend )
	593	ELSE
[1931]	594	CALL poismg_noopt( tend )
[1575]	595	ENDIF
[707]	596
[778]	597	IF ( gathered_size > subdomain_size ) THEN
	598	DEALLOCATE( tend )
	599	ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	600	ENDIF
	601
[1]	602	!
	603	!-- Restore perturbation pressure on tend because this array is used
	604	!-- further below to correct the velocity fields
[707]	605	DO i = nxl-1, nxr+1
	606	DO j = nys-1, nyn+1
	607	DO k = nzb, nzt+1
	608	tend(k,j,i) = p_loc(k,j,i)
	609	ENDDO
	610	ENDDO
	611	ENDDO
[667]	612
[1]	613	ENDIF
	614
	615	!
[707]	616	!-- Store perturbation pressure on array p, used for pressure data output.
	617	!-- Ghost layers are added in the output routines (except sor-method: see below)
[1918]	618	IF ( intermediate_timestep_count <= 1 ) THEN
[707]	619	!$OMP PARALLEL PRIVATE (i,j,k)
	620	!$OMP DO
[1929]	621	!$acc kernels present( p, tend, weight_substep_l )
[1257]	622	!$acc loop independent
[707]	623	DO i = nxl-1, nxr+1
[1257]	624	!$acc loop independent
[707]	625	DO j = nys-1, nyn+1
[1257]	626	!$acc loop independent
[707]	627	DO k = nzb, nzt+1
	628	p(k,j,i) = tend(k,j,i) * &
[1929]	629	weight_substep_l
[673]	630	ENDDO
[1]	631	ENDDO
[707]	632	ENDDO
[1113]	633	!$acc end kernels
[707]	634	!$OMP END PARALLEL
	635
[1762]	636	ELSEIF ( intermediate_timestep_count > 1 ) THEN
[707]	637	!$OMP PARALLEL PRIVATE (i,j,k)
	638	!$OMP DO
[1929]	639	!$acc kernels present( p, tend, weight_substep_l )
[1257]	640	!$acc loop independent
[707]	641	DO i = nxl-1, nxr+1
[1257]	642	!$acc loop independent
[707]	643	DO j = nys-1, nyn+1
[1257]	644	!$acc loop independent
[707]	645	DO k = nzb, nzt+1
	646	p(k,j,i) = p(k,j,i) + tend(k,j,i) * &
[1929]	647	weight_substep_l
[673]	648	ENDDO
	649	ENDDO
[707]	650	ENDDO
[1113]	651	!$acc end kernels
[707]	652	!$OMP END PARALLEL
	653
	654	ENDIF
[673]	655
[707]	656	!
	657	!-- SOR-method needs ghost layers for the next timestep
	658	IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp )
[682]	659
[1]	660	!
	661	!-- Correction of the provisional velocities with the current perturbation
	662	!-- pressure just computed
[709]	663	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN
[1342]	664	volume_flow_l(1) = 0.0_wp
	665	volume_flow_l(2) = 0.0_wp
[1]	666	ENDIF
[707]	667
[1]	668	!$OMP PARALLEL PRIVATE (i,j,k)
	669	!$OMP DO
[1918]	670	!$acc kernels present( ddzu, nzb_u_inner, nzb_v_inner, nzb_w_inner, tend, u, v, w )
[1257]	671	!$acc loop independent
[673]	672	DO i = nxl, nxr
[1257]	673	!$acc loop independent
[1]	674	DO j = nys, nyn
[1257]	675	!$acc loop independent
[1113]	676	DO k = 1, nzt
	677	IF ( k > nzb_w_inner(j,i) ) THEN
	678	w(k,j,i) = w(k,j,i) - dt_3d * &
	679	( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) * &
[1918]	680	weight_pres_l
[1113]	681	ENDIF
[1]	682	ENDDO
[1257]	683	!$acc loop independent
[1113]	684	DO k = 1, nzt
	685	IF ( k > nzb_u_inner(j,i) ) THEN
	686	u(k,j,i) = u(k,j,i) - dt_3d * &
	687	( tend(k,j,i) - tend(k,j,i-1) ) * ddx * &
[1918]	688	weight_pres_l
[1113]	689	ENDIF
[1]	690	ENDDO
[1257]	691	!$acc loop independent
[1113]	692	DO k = 1, nzt
	693	IF ( k > nzb_v_inner(j,i) ) THEN
	694	v(k,j,i) = v(k,j,i) - dt_3d * &
	695	( tend(k,j,i) - tend(k,j-1,i) ) * ddy * &
[1918]	696	weight_pres_l
[1113]	697	ENDIF
[673]	698	ENDDO
[1]	699
	700	ENDDO
	701	ENDDO
[1113]	702	!$acc end kernels
[1]	703	!$OMP END PARALLEL
[1113]	704
	705	!
	706	!-- Sum up the volume flow through the right and north boundary
	707	IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. &
	708	nxr == nx ) THEN
	709
	710	!$OMP PARALLEL PRIVATE (j,k)
	711	!$OMP DO
	712	DO j = nys, nyn
	713	!$OMP CRITICAL
[1845]	714	DO k = nzb_u_inner(j,nx) + 1, nzt
[1113]	715	volume_flow_l(1) = volume_flow_l(1) + u(k,j,nx) * dzw(k)
	716	ENDDO
	717	!$OMP END CRITICAL
	718	ENDDO
	719	!$OMP END PARALLEL
	720
	721	ENDIF
	722
	723	IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. &
	724	nyn == ny ) THEN
	725
	726	!$OMP PARALLEL PRIVATE (i,k)
	727	!$OMP DO
	728	DO i = nxl, nxr
	729	!$OMP CRITICAL
[1845]	730	DO k = nzb_v_inner(ny,i) + 1, nzt
[1113]	731	volume_flow_l(2) = volume_flow_l(2) + v(k,ny,i) * dzw(k)
	732	ENDDO
	733	!$OMP END CRITICAL
	734	ENDDO
	735	!$OMP END PARALLEL
	736
	737	ENDIF
[673]	738
[1]	739	!
	740	!-- Conserve the volume flow
[707]	741	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN
[1]	742
	743	#if defined( __parallel )
[622]	744	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	745	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, &
	746	MPI_SUM, comm2d, ierr )
	747	#else
	748	volume_flow = volume_flow_l
	749	#endif
	750
[1799]	751	volume_flow_offset(1:2) = ( volume_flow_initial(1:2) - volume_flow(1:2) ) / &
	752	volume_flow_area(1:2)
[1]	753
	754	!$OMP PARALLEL PRIVATE (i,j,k)
	755	!$OMP DO
	756	DO i = nxl, nxr
	757	DO j = nys, nyn
[667]	758	DO k = nzb_u_inner(j,i) + 1, nzt
	759	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
[719]	760	ENDDO
[1845]	761	DO k = nzb_v_inner(j,i) + 1, nzt
[667]	762	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
	763	ENDDO
[1]	764	ENDDO
	765	ENDDO
[667]	766
[1]	767	!$OMP END PARALLEL
	768
	769	ENDIF
	770
	771	!
	772	!-- Exchange of boundaries for the velocities
[1113]	773	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	774	on_device = .TRUE. ! to be removed after complete porting
	775	ELSE ! of ghost point exchange
	776	!$acc update host( u, v, w )
	777	ENDIF
[667]	778	CALL exchange_horiz( u, nbgp )
	779	CALL exchange_horiz( v, nbgp )
	780	CALL exchange_horiz( w, nbgp )
[1113]	781	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	782	on_device = .FALSE. ! to be removed after complete porting
	783	ELSE ! of ghost point exchange
	784	!$acc update device( u, v, w )
	785	ENDIF
[1]	786
	787	!
	788	!-- Compute the divergence of the corrected velocity field,
[1908]	789	!-- A possible PE-sum is computed in flow_statistics. Carry out computation
	790	!-- only at last Runge-Kutta step.
[1918]	791	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	792	intermediate_timestep_count == 0 ) THEN
[1908]	793	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	794	sums_divnew_l = 0.0_wp
[1]	795
	796	!
[1908]	797	!-- d must be reset to zero because it can contain nonzero values below the
	798	!-- topography
	799	IF ( topography /= 'flat' ) d = 0.0_wp
[1]	800
[1908]	801	localsum = 0.0_wp
	802	threadsum = 0.0_wp
[1]	803
[1908]	804	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	805	!$OMP DO SCHEDULE( STATIC )
[1]	806	#if defined( __ibm )
[1908]	807	DO i = nxl, nxr
	808	DO j = nys, nyn
	809	DO k = nzb_s_inner(j,i)+1, nzt
	810	d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	811	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	812	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
	813	ENDDO
	814	DO k = nzb+1, nzt
	815	threadsum = threadsum + ABS( d(k,j,i) )
	816	ENDDO
[1]	817	ENDDO
	818	ENDDO
	819	#else
[1908]	820	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
	821	!$acc loop collapse( 3 )
	822	DO i = nxl, nxr
	823	DO j = nys, nyn
	824	DO k = 1, nzt
	825	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	826	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	827	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
	828	) * rflags_s_inner(k,j,i)
	829	ENDDO
[1113]	830	ENDDO
	831	ENDDO
[1908]	832	!$acc end kernels
[1113]	833	!
[1908]	834	!-- Compute possible PE-sum of divergences for flow_statistics
	835	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
	836	DO i = nxl, nxr
	837	DO j = nys, nyn
	838	DO k = nzb+1, nzt
	839	threadsum = threadsum + ABS( d(k,j,i) )
	840	ENDDO
[1]	841	ENDDO
	842	ENDDO
[1908]	843	!$acc end parallel loop
[1]	844	#endif
[667]	845
[1908]	846	localsum = localsum + threadsum
	847	!$OMP END PARALLEL
[1]	848
	849	!
[1908]	850	!-- For completeness, set the divergence sum of all statistic regions to those
	851	!-- of the total domain
	852	sums_divnew_l(0:statistic_regions) = localsum
[1]	853
[1908]	854	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
[1]	855
[1908]	856	ENDIF
	857
[1]	858	CALL cpu_log( log_point(8), 'pres', 'stop' )
	859
	860
	861	END SUBROUTINE pres

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