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source: palm/trunk/SOURCE/pres.f90 @ 1968

Last change on this file since 1968 was 1933, checked in by hellstea, 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	! ------------------
[1932]	21	!
	22	!
[1919]	23	! Former revisions:
	24	! -----------------
	25	! $Id: pres.f90 1933 2016-06-13 07:12:51Z suehring $
	26	!
[1933]	27	! 1932 2016-06-10 12:09:21Z suehring
	28	! Initial version of purely vertical nesting introduced.
	29	!
[1932]	30	! 1931 2016-06-10 12:06:59Z suehring
	31	! Rename multigrid into multigrid_noopt and multigrid_fast into multigrid
	32	!
[1930]	33	! 1929 2016-06-09 16:25:25Z suehring
	34	! Bugfix: weight_substep for initial call, replace by local variable
	35	!
[1919]	36	! 1918 2016-05-27 14:35:57Z raasch
[1918]	37	! sum of divergence is also calculated when pres is called before the initial
	38	! first time step,
	39	! stearing is modified by using intermediate_timestep_count = 0 in order to
	40	! determine if pres is called before the first initial timestep,
	41	! bugfix: in case of Neumann conditions for pressure both at bottom and top,
	42	! mean vertical velocity is also removed for the first time step
	43	! bugfix for calculating divergences
[1321]	44	!
[1909]	45	! 1908 2016-05-25 17:22:32Z suehring
	46	! New divergence for output into RUN_CONTROL file is calculated only at last
	47	! Runge-Kutta step
	48	!
[1846]	49	! 1845 2016-04-08 08:29:13Z raasch
	50	! nzb_2d replace by nzb_u\|v_inner
	51	!
[1800]	52	! 1799 2016-04-05 08:35:55Z gronemeier
	53	! Bugfix: excluded third dimension from horizontal volume flow calculation
	54	!
[1763]	55	! 1762 2016-02-25 12:31:13Z hellstea
	56	! Introduction of nested domain feature
	57	!
[1683]	58	! 1682 2015-10-07 23:56:08Z knoop
	59	! Code annotations made doxygen readable
	60	!
[1576]	61	! 1575 2015-03-27 09:56:27Z raasch
	62	! poismg_fast + respective module added, adjustments for psolver-queries
	63	!
[1343]	64	! 1342 2014-03-26 17:04:47Z kanani
	65	! REAL constants defined as wp-kind
	66	!
[1321]	67	! 1320 2014-03-20 08:40:49Z raasch
[1320]	68	! ONLY-attribute added to USE-statements,
	69	! kind-parameters added to all INTEGER and REAL declaration statements,
	70	! kinds are defined in new module kinds,
	71	! old module precision_kind is removed,
	72	! revision history before 2012 removed,
	73	! comment fields (!:) to be used for variable explanations added to
	74	! all variable declaration statements
[708]	75	!
[1319]	76	! 1318 2014-03-17 13:35:16Z raasch
	77	! module interfaces removed
	78	!
[1307]	79	! 1306 2014-03-13 14:30:59Z raasch
	80	! second argument removed from routine poisfft
	81	!
[1258]	82	! 1257 2013-11-08 15:18:40Z raasch
	83	! openacc loop and loop vector clauses removed, independent clauses added,
	84	! end parallel replaced by end parallel loop
	85	!
[1222]	86	! 1221 2013-09-10 08:59:13Z raasch
	87	! openACC porting of reduction operations, loops for calculating d are
	88	! using the rflags_s_inner multiply flag instead of the nzb_s_inner loop index
	89	!
[1213]	90	! 1212 2013-08-15 08:46:27Z raasch
	91	! call of poisfft_hybrid removed
	92	!
[1118]	93	! 1117 2013-03-27 11:15:36Z suehring
	94	! Bugfix in OpenMP parallelization.
	95	!
[1114]	96	! 1113 2013-03-10 02:48:14Z raasch
	97	! GPU-porting of several loops, some loops rearranged
	98	!
[1112]	99	! 1111 2013-03-08 23:54:10Z
	100	! openACC statements added,
	101	! ibc_p_b = 2 removed
	102	!
[1093]	103	! 1092 2013-02-02 11:24:22Z raasch
	104	! unused variables removed
	105	!
[1037]	106	! 1036 2012-10-22 13:43:42Z raasch
	107	! code put under GPL (PALM 3.9)
	108	!
[1004]	109	! 1003 2012-09-14 14:35:53Z raasch
	110	! adjustment of array tend for cases with unequal subdomain sizes removed
	111	!
[1]	112	! Revision 1.1 1997/07/24 11:24:44 raasch
	113	! Initial revision
	114	!
	115	!
	116	! Description:
	117	! ------------
[1682]	118	!> Compute the divergence of the provisional velocity field. Solve the Poisson
	119	!> equation for the perturbation pressure. Compute the final velocities using
	120	!> this perturbation pressure. Compute the remaining divergence.
[1]	121	!------------------------------------------------------------------------------!
[1682]	122	SUBROUTINE pres
	123
[1]	124
[1320]	125	USE arrays_3d, &
	126	ONLY: d, ddzu, ddzu_pres, ddzw, dzw, p, p_loc, tend, u, v, w
	127
	128	USE control_parameters, &
	129	ONLY: bc_lr_cyc, bc_ns_cyc, conserve_volume_flow, dt_3d, &
	130	gathered_size, ibc_p_b, ibc_p_t, intermediate_timestep_count, &
[1908]	131	intermediate_timestep_count_max, mg_switch_to_pe0_level, &
[1933]	132	nest_domain, on_device, outflow_l, outflow_n, outflow_r, &
[1918]	133	outflow_s, psolver, subdomain_size, topography, volume_flow, &
	134	volume_flow_area, volume_flow_initial
[1320]	135
	136	USE cpulog, &
	137	ONLY: cpu_log, log_point, log_point_s
	138
	139	USE grid_variables, &
	140	ONLY: ddx, ddy
	141
	142	USE indices, &
	143	ONLY: nbgp, ngp_2dh_outer, nx, nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, &
	144	ny, nys, nysg, nys_mg, nyn, nyng, nyn_mg, nzb, nzb_s_inner, &
[1845]	145	nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt, nzt_mg, &
[1320]	146	rflags_s_inner
	147
	148	USE kinds
	149
[1]	150	USE pegrid
[1933]	151
	152	USE pmc_interface, &
	153	ONLY: nesting_mode
[1]	154
[1320]	155	USE poisfft_mod, &
	156	ONLY: poisfft
	157
[1575]	158	USE poismg_mod
	159
[1320]	160	USE statistics, &
	161	ONLY: statistic_regions, sums_divnew_l, sums_divold_l, weight_pres, &
	162	weight_substep
	163
[1]	164	IMPLICIT NONE
	165
[1682]	166	INTEGER(iwp) :: i !<
	167	INTEGER(iwp) :: j !<
	168	INTEGER(iwp) :: k !<
[1]	169
[1682]	170	REAL(wp) :: ddt_3d !<
[1918]	171	REAL(wp) :: d_weight_pres !<
[1682]	172	REAL(wp) :: localsum !<
	173	REAL(wp) :: threadsum !<
[1918]	174	REAL(wp) :: weight_pres_l !<
[1929]	175	REAL(wp) :: weight_substep_l !<
[1]	176
[1762]	177	REAL(wp), DIMENSION(1:3) :: volume_flow_l !<
	178	REAL(wp), DIMENSION(1:3) :: volume_flow_offset !<
[1682]	179	REAL(wp), DIMENSION(1:nzt) :: w_l !<
	180	REAL(wp), DIMENSION(1:nzt) :: w_l_l !<
[1]	181
[1933]	182	LOGICAL :: nest_domain_nvn !<
[1]	183
[1933]	184
[1]	185	CALL cpu_log( log_point(8), 'pres', 'start' )
	186
[85]	187
[1918]	188	!
	189	!-- Calculate quantities to be used locally
[1342]	190	ddt_3d = 1.0_wp / dt_3d
[1918]	191	IF ( intermediate_timestep_count == 0 ) THEN
	192	!
	193	!-- If pres is called before initial time step
[1929]	194	weight_pres_l = 1.0_wp
	195	d_weight_pres = 1.0_wp
	196	weight_substep_l = 1.0_wp
[1918]	197	ELSE
[1929]	198	weight_pres_l = weight_pres(intermediate_timestep_count)
	199	d_weight_pres = 1.0_wp / weight_pres(intermediate_timestep_count)
	200	weight_substep_l = weight_substep(intermediate_timestep_count)
[1918]	201	ENDIF
[85]	202
[1]	203	!
[707]	204	!-- Multigrid method expects array d to have one ghost layer.
	205	!--
[1575]	206	IF ( psolver(1:9) == 'multigrid' ) THEN
[667]	207
[1]	208	DEALLOCATE( d )
[667]	209	ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
[707]	210
	211	!
	212	!-- Since p is later used to hold the weighted average of the substeps, it
	213	!-- cannot be used in the iterative solver. Therefore, its initial value is
	214	!-- stored on p_loc, which is then iteratively advanced in every substep.
[1762]	215	IF ( intermediate_timestep_count <= 1 ) THEN
[707]	216	DO i = nxl-1, nxr+1
	217	DO j = nys-1, nyn+1
	218	DO k = nzb, nzt+1
	219	p_loc(k,j,i) = p(k,j,i)
	220	ENDDO
	221	ENDDO
	222	ENDDO
[667]	223	ENDIF
	224
[1918]	225	ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count <= 1 ) THEN
[707]	226
	227	!
	228	!-- Since p is later used to hold the weighted average of the substeps, it
	229	!-- cannot be used in the iterative solver. Therefore, its initial value is
	230	!-- stored on p_loc, which is then iteratively advanced in every substep.
	231	p_loc = p
	232
[1]	233	ENDIF
	234
	235	!
[75]	236	!-- Conserve the volume flow at the outflow in case of non-cyclic lateral
	237	!-- boundary conditions
[106]	238	!-- WARNING: so far, this conservation does not work at the left/south
	239	!-- boundary if the topography at the inflow differs from that at the
	240	!-- outflow! For this case, volume_flow_area needs adjustment!
	241	!
	242	!-- Left/right
[709]	243	IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN
[680]	244
[1342]	245	volume_flow(1) = 0.0_wp
	246	volume_flow_l(1) = 0.0_wp
[106]	247
	248	IF ( outflow_l ) THEN
	249	i = 0
	250	ELSEIF ( outflow_r ) THEN
	251	i = nx+1
	252	ENDIF
	253
	254	DO j = nys, nyn
	255	!
	256	!-- Sum up the volume flow through the south/north boundary
[1845]	257	DO k = nzb_u_inner(j,i)+1, nzt
[667]	258	volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k)
[106]	259	ENDDO
	260	ENDDO
	261
	262	#if defined( __parallel )
[680]	263	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
[106]	264	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, &
	265	MPI_SUM, comm1dy, ierr )
	266	#else
	267	volume_flow = volume_flow_l
	268	#endif
[709]	269	volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) &
[106]	270	/ volume_flow_area(1)
	271
[667]	272	DO j = nysg, nyng
[1845]	273	DO k = nzb_u_inner(j,i)+1, nzt
[106]	274	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
	275	ENDDO
	276	ENDDO
	277
	278	ENDIF
	279
	280	!
	281	!-- South/north
[709]	282	IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN
[106]	283
[1342]	284	volume_flow(2) = 0.0_wp
	285	volume_flow_l(2) = 0.0_wp
[75]	286
[106]	287	IF ( outflow_s ) THEN
	288	j = 0
	289	ELSEIF ( outflow_n ) THEN
[75]	290	j = ny+1
[106]	291	ENDIF
	292
	293	DO i = nxl, nxr
[75]	294	!
[106]	295	!-- Sum up the volume flow through the south/north boundary
[1845]	296	DO k = nzb_v_inner(j,i)+1, nzt
[667]	297	volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k)
[75]	298	ENDDO
[106]	299	ENDDO
	300
[75]	301	#if defined( __parallel )
[680]	302	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
[75]	303	CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, &
	304	MPI_SUM, comm1dx, ierr )
	305	#else
	306	volume_flow = volume_flow_l
	307	#endif
	308	volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) &
[106]	309	/ volume_flow_area(2)
[75]	310
[667]	311	DO i = nxlg, nxrg
[709]	312	DO k = nzb_v_inner(j,i)+1, nzt
[106]	313	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
[75]	314	ENDDO
[106]	315	ENDDO
[75]	316
	317	ENDIF
	318
[76]	319	!
[1762]	320	!-- Remove mean vertical velocity in case that Neumann conditions are
[1933]	321	!-- used both at bottom and top boundary, and if not a nested domain in a
	322	!-- normal nesting run. In case of vertical nesting, this must be done.
	323	!-- Therefore an auxiliary logical variable nest_domain_nvn is used here, and
	324	!-- nvn stands for non-vertical nesting.
[1918]	325	!-- This cannot be done before the first initial time step because ngp_2dh_outer
	326	!-- is not yet known then.
[1933]	327	nest_domain_nvn = nest_domain
	328	IF ( nest_domain .AND. nesting_mode == 'vertical' ) THEN
	329	nest_domain_nvn = .FALSE.
	330	ENDIF
	331
	332	IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 .AND. &
	333	.NOT. nest_domain_nvn .AND. intermediate_timestep_count /= 0 ) &
[1918]	334	THEN
	335	w_l = 0.0_wp; w_l_l = 0.0_wp
	336	DO i = nxl, nxr
	337	DO j = nys, nyn
	338	DO k = nzb_w_inner(j,i)+1, nzt
	339	w_l_l(k) = w_l_l(k) + w(k,j,i)
[76]	340	ENDDO
	341	ENDDO
[1918]	342	ENDDO
[76]	343	#if defined( __parallel )
[1918]	344	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	345	CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, &
	346	comm2d, ierr )
[76]	347	#else
[1918]	348	w_l = w_l_l
[76]	349	#endif
[1918]	350	DO k = 1, nzt
	351	w_l(k) = w_l(k) / ngp_2dh_outer(k,0)
	352	ENDDO
	353	DO i = nxlg, nxrg
	354	DO j = nysg, nyng
	355	DO k = nzb_w_inner(j,i)+1, nzt
	356	w(k,j,i) = w(k,j,i) - w_l(k)
[76]	357	ENDDO
	358	ENDDO
[1918]	359	ENDDO
[76]	360	ENDIF
[75]	361
	362	!
[1]	363	!-- Compute the divergence of the provisional velocity field.
	364	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	365
[1575]	366	IF ( psolver(1:9) == 'multigrid' ) THEN
[1]	367	!$OMP PARALLEL DO SCHEDULE( STATIC )
	368	DO i = nxl-1, nxr+1
	369	DO j = nys-1, nyn+1
	370	DO k = nzb, nzt+1
[1342]	371	d(k,j,i) = 0.0_wp
[1]	372	ENDDO
	373	ENDDO
	374	ENDDO
	375	ELSE
	376	!$OMP PARALLEL DO SCHEDULE( STATIC )
[1111]	377	!$acc kernels present( d )
[1003]	378	DO i = nxl, nxr
	379	DO j = nys, nyn
	380	DO k = nzb+1, nzt
[1342]	381	d(k,j,i) = 0.0_wp
[1]	382	ENDDO
	383	ENDDO
	384	ENDDO
[1111]	385	!$acc end kernels
[1]	386	ENDIF
	387
[1342]	388	localsum = 0.0_wp
	389	threadsum = 0.0_wp
[1]	390
	391	#if defined( __ibm )
	392	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	393	!$OMP DO SCHEDULE( STATIC )
	394	DO i = nxl, nxr
	395	DO j = nys, nyn
	396	DO k = nzb_s_inner(j,i)+1, nzt
[85]	397	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	398	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
[673]	399	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	400	* d_weight_pres
[1]	401	ENDDO
	402	!
	403	!-- Compute possible PE-sum of divergences for flow_statistics
	404	DO k = nzb_s_inner(j,i)+1, nzt
	405	threadsum = threadsum + ABS( d(k,j,i) )
	406	ENDDO
	407
	408	ENDDO
	409	ENDDO
	410
[1918]	411	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	412	intermediate_timestep_count == 0 ) THEN
	413	localsum = localsum + threadsum * dt_3d * weight_pres_l
[1908]	414	ENDIF
[1]	415	!$OMP END PARALLEL
	416	#else
	417
[1111]	418	!$OMP PARALLEL PRIVATE (i,j,k)
	419	!$OMP DO SCHEDULE( STATIC )
[1221]	420	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
	421	!$acc loop collapse( 3 )
[1111]	422	DO i = nxl, nxr
	423	DO j = nys, nyn
	424	DO k = 1, nzt
[1221]	425	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	426	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	427	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	428	* d_weight_pres * rflags_s_inner(k,j,i)
[1]	429	ENDDO
	430	ENDDO
[1111]	431	ENDDO
	432	!$acc end kernels
	433	!$OMP END PARALLEL
[1]	434
	435	!
[1908]	436	!-- Compute possible PE-sum of divergences for flow_statistics. Carry out
	437	!-- computation only at last Runge-Kutta substep.
[1918]	438	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	439	intermediate_timestep_count == 0 ) THEN
[1908]	440	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	441	!$OMP DO SCHEDULE( STATIC )
	442	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
	443	DO i = nxl, nxr
	444	DO j = nys, nyn
	445	DO k = nzb+1, nzt
	446	threadsum = threadsum + ABS( d(k,j,i) )
	447	ENDDO
[1]	448	ENDDO
	449	ENDDO
[1908]	450	!$acc end parallel loop
[1918]	451	localsum = localsum + threadsum * dt_3d * weight_pres_l
[1908]	452	!$OMP END PARALLEL
	453	ENDIF
[1]	454	#endif
	455
	456	!
	457	!-- For completeness, set the divergence sum of all statistic regions to those
	458	!-- of the total domain
[1918]	459	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	460	intermediate_timestep_count == 0 ) THEN
[1908]	461	sums_divold_l(0:statistic_regions) = localsum
[1918]	462	ENDIF
[1]	463
	464	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
	465
	466	!
	467	!-- Compute the pressure perturbation solving the Poisson equation
[1575]	468	IF ( psolver == 'poisfft' ) THEN
[1]	469
	470	!
	471	!-- Solve Poisson equation via FFT and solution of tridiagonal matrices
[1575]	472	CALL poisfft( d )
[1212]	473
[1]	474	!
	475	!-- Store computed perturbation pressure and set boundary condition in
	476	!-- z-direction
	477	!$OMP PARALLEL DO
[1113]	478	!$acc kernels present( d, tend )
[1]	479	DO i = nxl, nxr
	480	DO j = nys, nyn
	481	DO k = nzb+1, nzt
	482	tend(k,j,i) = d(k,j,i)
	483	ENDDO
	484	ENDDO
	485	ENDDO
[1113]	486	!$acc end kernels
[1]	487
	488	!
	489	!-- Bottom boundary:
	490	!-- This condition is only required for internal output. The pressure
	491	!-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else.
	492	IF ( ibc_p_b == 1 ) THEN
	493	!
	494	!-- Neumann (dp/dz = 0)
	495	!$OMP PARALLEL DO
[1113]	496	!$acc kernels present( nzb_s_inner, tend )
[667]	497	DO i = nxlg, nxrg
	498	DO j = nysg, nyng
[1]	499	tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i)
	500	ENDDO
	501	ENDDO
[1113]	502	!$acc end kernels
[1]	503
	504	ELSE
	505	!
	506	!-- Dirichlet
	507	!$OMP PARALLEL DO
[1113]	508	!$acc kernels present( tend )
[667]	509	DO i = nxlg, nxrg
	510	DO j = nysg, nyng
[1342]	511	tend(nzb_s_inner(j,i),j,i) = 0.0_wp
[1]	512	ENDDO
	513	ENDDO
[1113]	514	!$acc end kernels
[1]	515
	516	ENDIF
	517
	518	!
	519	!-- Top boundary
	520	IF ( ibc_p_t == 1 ) THEN
	521	!
	522	!-- Neumann
	523	!$OMP PARALLEL DO
[1113]	524	!$acc kernels present( tend )
[667]	525	DO i = nxlg, nxrg
	526	DO j = nysg, nyng
[1]	527	tend(nzt+1,j,i) = tend(nzt,j,i)
	528	ENDDO
	529	ENDDO
[1113]	530	!$acc end kernels
[1]	531
	532	ELSE
	533	!
	534	!-- Dirichlet
	535	!$OMP PARALLEL DO
[1113]	536	!$acc kernels present( tend )
[667]	537	DO i = nxlg, nxrg
	538	DO j = nysg, nyng
[1342]	539	tend(nzt+1,j,i) = 0.0_wp
[1]	540	ENDDO
	541	ENDDO
[1113]	542	!$acc end kernels
[1]	543
	544	ENDIF
	545
	546	!
	547	!-- Exchange boundaries for p
[1113]	548	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	549	on_device = .TRUE. ! to be removed after complete porting
	550	ELSE ! of ghost point exchange
	551	!$acc update host( tend )
	552	ENDIF
[667]	553	CALL exchange_horiz( tend, nbgp )
[1113]	554	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	555	on_device = .FALSE. ! to be removed after complete porting
	556	ELSE ! of ghost point exchange
	557	!$acc update device( tend )
	558	ENDIF
[1]	559
	560	ELSEIF ( psolver == 'sor' ) THEN
	561
	562	!
	563	!-- Solve Poisson equation for perturbation pressure using SOR-Red/Black
	564	!-- scheme
[707]	565	CALL sor( d, ddzu_pres, ddzw, p_loc )
	566	tend = p_loc
[1]	567
[1575]	568	ELSEIF ( psolver(1:9) == 'multigrid' ) THEN
[1]	569
	570	!
	571	!-- Solve Poisson equation for perturbation pressure using Multigrid scheme,
[667]	572	!-- array tend is used to store the residuals, logical exchange_mg is used
	573	!-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid
	574	!-- ( nbgp ghost points ).
[778]	575
	576	!-- If the number of grid points of the gathered grid, which is collected
	577	!-- on PE0, is larger than the number of grid points of an PE, than array
	578	!-- tend will be enlarged.
	579	IF ( gathered_size > subdomain_size ) THEN
	580	DEALLOCATE( tend )
	581	ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( &
	582	mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,&
	583	nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( &
	584	mg_switch_to_pe0_level)+1) )
	585	ENDIF
	586
[1575]	587	IF ( psolver == 'multigrid' ) THEN
	588	CALL poismg( tend )
	589	ELSE
[1931]	590	CALL poismg_noopt( tend )
[1575]	591	ENDIF
[707]	592
[778]	593	IF ( gathered_size > subdomain_size ) THEN
	594	DEALLOCATE( tend )
	595	ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	596	ENDIF
	597
[1]	598	!
	599	!-- Restore perturbation pressure on tend because this array is used
	600	!-- further below to correct the velocity fields
[707]	601	DO i = nxl-1, nxr+1
	602	DO j = nys-1, nyn+1
	603	DO k = nzb, nzt+1
	604	tend(k,j,i) = p_loc(k,j,i)
	605	ENDDO
	606	ENDDO
	607	ENDDO
[667]	608
[1]	609	ENDIF
	610
	611	!
[707]	612	!-- Store perturbation pressure on array p, used for pressure data output.
	613	!-- Ghost layers are added in the output routines (except sor-method: see below)
[1918]	614	IF ( intermediate_timestep_count <= 1 ) THEN
[707]	615	!$OMP PARALLEL PRIVATE (i,j,k)
	616	!$OMP DO
[1929]	617	!$acc kernels present( p, tend, weight_substep_l )
[1257]	618	!$acc loop independent
[707]	619	DO i = nxl-1, nxr+1
[1257]	620	!$acc loop independent
[707]	621	DO j = nys-1, nyn+1
[1257]	622	!$acc loop independent
[707]	623	DO k = nzb, nzt+1
	624	p(k,j,i) = tend(k,j,i) * &
[1929]	625	weight_substep_l
[673]	626	ENDDO
[1]	627	ENDDO
[707]	628	ENDDO
[1113]	629	!$acc end kernels
[707]	630	!$OMP END PARALLEL
	631
[1762]	632	ELSEIF ( intermediate_timestep_count > 1 ) THEN
[707]	633	!$OMP PARALLEL PRIVATE (i,j,k)
	634	!$OMP DO
[1929]	635	!$acc kernels present( p, tend, weight_substep_l )
[1257]	636	!$acc loop independent
[707]	637	DO i = nxl-1, nxr+1
[1257]	638	!$acc loop independent
[707]	639	DO j = nys-1, nyn+1
[1257]	640	!$acc loop independent
[707]	641	DO k = nzb, nzt+1
	642	p(k,j,i) = p(k,j,i) + tend(k,j,i) * &
[1929]	643	weight_substep_l
[673]	644	ENDDO
	645	ENDDO
[707]	646	ENDDO
[1113]	647	!$acc end kernels
[707]	648	!$OMP END PARALLEL
	649
	650	ENDIF
[673]	651
[707]	652	!
	653	!-- SOR-method needs ghost layers for the next timestep
	654	IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp )
[682]	655
[1]	656	!
	657	!-- Correction of the provisional velocities with the current perturbation
	658	!-- pressure just computed
[709]	659	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN
[1342]	660	volume_flow_l(1) = 0.0_wp
	661	volume_flow_l(2) = 0.0_wp
[1]	662	ENDIF
[707]	663
[1]	664	!$OMP PARALLEL PRIVATE (i,j,k)
	665	!$OMP DO
[1918]	666	!$acc kernels present( ddzu, nzb_u_inner, nzb_v_inner, nzb_w_inner, tend, u, v, w )
[1257]	667	!$acc loop independent
[673]	668	DO i = nxl, nxr
[1257]	669	!$acc loop independent
[1]	670	DO j = nys, nyn
[1257]	671	!$acc loop independent
[1113]	672	DO k = 1, nzt
	673	IF ( k > nzb_w_inner(j,i) ) THEN
	674	w(k,j,i) = w(k,j,i) - dt_3d * &
	675	( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) * &
[1918]	676	weight_pres_l
[1113]	677	ENDIF
[1]	678	ENDDO
[1257]	679	!$acc loop independent
[1113]	680	DO k = 1, nzt
	681	IF ( k > nzb_u_inner(j,i) ) THEN
	682	u(k,j,i) = u(k,j,i) - dt_3d * &
	683	( tend(k,j,i) - tend(k,j,i-1) ) * ddx * &
[1918]	684	weight_pres_l
[1113]	685	ENDIF
[1]	686	ENDDO
[1257]	687	!$acc loop independent
[1113]	688	DO k = 1, nzt
	689	IF ( k > nzb_v_inner(j,i) ) THEN
	690	v(k,j,i) = v(k,j,i) - dt_3d * &
	691	( tend(k,j,i) - tend(k,j-1,i) ) * ddy * &
[1918]	692	weight_pres_l
[1113]	693	ENDIF
[673]	694	ENDDO
[1]	695
	696	ENDDO
	697	ENDDO
[1113]	698	!$acc end kernels
[1]	699	!$OMP END PARALLEL
[1113]	700
	701	!
	702	!-- Sum up the volume flow through the right and north boundary
	703	IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. &
	704	nxr == nx ) THEN
	705
	706	!$OMP PARALLEL PRIVATE (j,k)
	707	!$OMP DO
	708	DO j = nys, nyn
	709	!$OMP CRITICAL
[1845]	710	DO k = nzb_u_inner(j,nx) + 1, nzt
[1113]	711	volume_flow_l(1) = volume_flow_l(1) + u(k,j,nx) * dzw(k)
	712	ENDDO
	713	!$OMP END CRITICAL
	714	ENDDO
	715	!$OMP END PARALLEL
	716
	717	ENDIF
	718
	719	IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. &
	720	nyn == ny ) THEN
	721
	722	!$OMP PARALLEL PRIVATE (i,k)
	723	!$OMP DO
	724	DO i = nxl, nxr
	725	!$OMP CRITICAL
[1845]	726	DO k = nzb_v_inner(ny,i) + 1, nzt
[1113]	727	volume_flow_l(2) = volume_flow_l(2) + v(k,ny,i) * dzw(k)
	728	ENDDO
	729	!$OMP END CRITICAL
	730	ENDDO
	731	!$OMP END PARALLEL
	732
	733	ENDIF
[673]	734
[1]	735	!
	736	!-- Conserve the volume flow
[707]	737	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN
[1]	738
	739	#if defined( __parallel )
[622]	740	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	741	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, &
	742	MPI_SUM, comm2d, ierr )
	743	#else
	744	volume_flow = volume_flow_l
	745	#endif
	746
[1799]	747	volume_flow_offset(1:2) = ( volume_flow_initial(1:2) - volume_flow(1:2) ) / &
	748	volume_flow_area(1:2)
[1]	749
	750	!$OMP PARALLEL PRIVATE (i,j,k)
	751	!$OMP DO
	752	DO i = nxl, nxr
	753	DO j = nys, nyn
[667]	754	DO k = nzb_u_inner(j,i) + 1, nzt
	755	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
[719]	756	ENDDO
[1845]	757	DO k = nzb_v_inner(j,i) + 1, nzt
[667]	758	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
	759	ENDDO
[1]	760	ENDDO
	761	ENDDO
[667]	762
[1]	763	!$OMP END PARALLEL
	764
	765	ENDIF
	766
	767	!
	768	!-- Exchange of boundaries for the velocities
[1113]	769	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	770	on_device = .TRUE. ! to be removed after complete porting
	771	ELSE ! of ghost point exchange
	772	!$acc update host( u, v, w )
	773	ENDIF
[667]	774	CALL exchange_horiz( u, nbgp )
	775	CALL exchange_horiz( v, nbgp )
	776	CALL exchange_horiz( w, nbgp )
[1113]	777	IF ( numprocs == 1 ) THEN ! workaround for single-core GPU runs
	778	on_device = .FALSE. ! to be removed after complete porting
	779	ELSE ! of ghost point exchange
	780	!$acc update device( u, v, w )
	781	ENDIF
[1]	782
	783	!
	784	!-- Compute the divergence of the corrected velocity field,
[1908]	785	!-- A possible PE-sum is computed in flow_statistics. Carry out computation
	786	!-- only at last Runge-Kutta step.
[1918]	787	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	788	intermediate_timestep_count == 0 ) THEN
[1908]	789	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	790	sums_divnew_l = 0.0_wp
[1]	791
	792	!
[1908]	793	!-- d must be reset to zero because it can contain nonzero values below the
	794	!-- topography
	795	IF ( topography /= 'flat' ) d = 0.0_wp
[1]	796
[1908]	797	localsum = 0.0_wp
	798	threadsum = 0.0_wp
[1]	799
[1908]	800	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	801	!$OMP DO SCHEDULE( STATIC )
[1]	802	#if defined( __ibm )
[1908]	803	DO i = nxl, nxr
	804	DO j = nys, nyn
	805	DO k = nzb_s_inner(j,i)+1, nzt
	806	d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	807	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	808	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
	809	ENDDO
	810	DO k = nzb+1, nzt
	811	threadsum = threadsum + ABS( d(k,j,i) )
	812	ENDDO
[1]	813	ENDDO
	814	ENDDO
	815	#else
[1908]	816	!$acc kernels present( d, ddzw, rflags_s_inner, u, v, w )
	817	!$acc loop collapse( 3 )
	818	DO i = nxl, nxr
	819	DO j = nys, nyn
	820	DO k = 1, nzt
	821	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	822	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	823	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
	824	) * rflags_s_inner(k,j,i)
	825	ENDDO
[1113]	826	ENDDO
	827	ENDDO
[1908]	828	!$acc end kernels
[1113]	829	!
[1908]	830	!-- Compute possible PE-sum of divergences for flow_statistics
	831	!$acc parallel loop collapse(3) present( d ) reduction(+:threadsum)
	832	DO i = nxl, nxr
	833	DO j = nys, nyn
	834	DO k = nzb+1, nzt
	835	threadsum = threadsum + ABS( d(k,j,i) )
	836	ENDDO
[1]	837	ENDDO
	838	ENDDO
[1908]	839	!$acc end parallel loop
[1]	840	#endif
[667]	841
[1908]	842	localsum = localsum + threadsum
	843	!$OMP END PARALLEL
[1]	844
	845	!
[1908]	846	!-- For completeness, set the divergence sum of all statistic regions to those
	847	!-- of the total domain
	848	sums_divnew_l(0:statistic_regions) = localsum
[1]	849
[1908]	850	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
[1]	851
[1908]	852	ENDIF
	853
[1]	854	CALL cpu_log( log_point(8), 'pres', 'stop' )
	855
	856
	857	END SUBROUTINE pres

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