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source: palm/trunk/SOURCE/pres.f90 @ 3012

Last change on this file since 3012 was 3012, checked in by Giersch, 6 years ago
To avoid jumps while plotting w-profiles w level nzt+1 is set to w level nzt after velocity modifications through the pressure solver were carried out
Property svn:keywords set to `Id`
File size: 31.2 KB

Rev	Line
[1682]	1	!> @file pres.f90
[2000]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1036]	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	!
[2718]	17	! Copyright 1997-2018 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[484]	20	! Current revisions:
[1212]	21	! ------------------
[3012]	22	! To avoid jumps while plotting profiles w level nzt+1 is set to w level nzt
	23	! after velocity modifications through the pressure solver are carried out
[1932]	24	!
[1919]	25	! Former revisions:
	26	! -----------------
[2716]	27	! Id: pres.f90 2696 2017-12-14 17:12:51Z kanani $
	28	! Corrected "Former revisions" section
[2696]	29	!
[2716]	30	! 2696 2017-12-14 17:12:51Z kanani
	31	! Change in file header (GPL part)
	32	! poismg_noopt modularized (MS)
	33	!
[2696]	34	! 2298 2017-06-29 09:28:18Z raasch
[2298]	35	! comment changed + some formatting
	36	!
	37	! 2233 2017-05-30 18:08:54Z suehring
[1919]	38	!
[2233]	39	! 2232 2017-05-30 17:47:52Z suehring
	40	! Adjustments to new topography and surface concept
	41	!
[2119]	42	! 2118 2017-01-17 16:38:49Z raasch
	43	! OpenACC directives and related code removed
	44	!
[2074]	45	! 2073 2016-11-30 14:34:05Z raasch
	46	! openmp bugfix for calculation of new divergence
	47	!
[2038]	48	! 2037 2016-10-26 11:15:40Z knoop
	49	! Anelastic approximation implemented
	50	!
[2001]	51	! 2000 2016-08-20 18:09:15Z knoop
	52	! Forced header and separation lines into 80 columns
	53	!
[1933]	54	! 1932 2016-06-10 12:09:21Z suehring
	55	! Initial version of purely vertical nesting introduced.
	56	!
[1932]	57	! 1931 2016-06-10 12:06:59Z suehring
	58	! Rename multigrid into multigrid_noopt and multigrid_fast into multigrid
	59	!
[1930]	60	! 1929 2016-06-09 16:25:25Z suehring
	61	! Bugfix: weight_substep for initial call, replace by local variable
	62	!
[1919]	63	! 1918 2016-05-27 14:35:57Z raasch
[1918]	64	! sum of divergence is also calculated when pres is called before the initial
	65	! first time step,
	66	! stearing is modified by using intermediate_timestep_count = 0 in order to
	67	! determine if pres is called before the first initial timestep,
	68	! bugfix: in case of Neumann conditions for pressure both at bottom and top,
	69	! mean vertical velocity is also removed for the first time step
	70	! bugfix for calculating divergences
[1321]	71	!
[1909]	72	! 1908 2016-05-25 17:22:32Z suehring
	73	! New divergence for output into RUN_CONTROL file is calculated only at last
	74	! Runge-Kutta step
	75	!
[1846]	76	! 1845 2016-04-08 08:29:13Z raasch
	77	! nzb_2d replace by nzb_u\|v_inner
	78	!
[1800]	79	! 1799 2016-04-05 08:35:55Z gronemeier
	80	! Bugfix: excluded third dimension from horizontal volume flow calculation
	81	!
[1763]	82	! 1762 2016-02-25 12:31:13Z hellstea
	83	! Introduction of nested domain feature
	84	!
[1683]	85	! 1682 2015-10-07 23:56:08Z knoop
	86	! Code annotations made doxygen readable
	87	!
[1576]	88	! 1575 2015-03-27 09:56:27Z raasch
	89	! poismg_fast + respective module added, adjustments for psolver-queries
	90	!
[1343]	91	! 1342 2014-03-26 17:04:47Z kanani
	92	! REAL constants defined as wp-kind
	93	!
[1321]	94	! 1320 2014-03-20 08:40:49Z raasch
[1320]	95	! ONLY-attribute added to USE-statements,
	96	! kind-parameters added to all INTEGER and REAL declaration statements,
	97	! kinds are defined in new module kinds,
	98	! old module precision_kind is removed,
	99	! revision history before 2012 removed,
	100	! comment fields (!:) to be used for variable explanations added to
	101	! all variable declaration statements
[708]	102	!
[1319]	103	! 1318 2014-03-17 13:35:16Z raasch
	104	! module interfaces removed
	105	!
[1307]	106	! 1306 2014-03-13 14:30:59Z raasch
	107	! second argument removed from routine poisfft
	108	!
[1258]	109	! 1257 2013-11-08 15:18:40Z raasch
	110	! openacc loop and loop vector clauses removed, independent clauses added,
	111	! end parallel replaced by end parallel loop
	112	!
[1222]	113	! 1221 2013-09-10 08:59:13Z raasch
	114	! openACC porting of reduction operations, loops for calculating d are
	115	! using the rflags_s_inner multiply flag instead of the nzb_s_inner loop index
	116	!
[1213]	117	! 1212 2013-08-15 08:46:27Z raasch
	118	! call of poisfft_hybrid removed
	119	!
[1118]	120	! 1117 2013-03-27 11:15:36Z suehring
	121	! Bugfix in OpenMP parallelization.
	122	!
[1114]	123	! 1113 2013-03-10 02:48:14Z raasch
	124	! GPU-porting of several loops, some loops rearranged
	125	!
[1112]	126	! 1111 2013-03-08 23:54:10Z
	127	! openACC statements added,
	128	! ibc_p_b = 2 removed
	129	!
[1093]	130	! 1092 2013-02-02 11:24:22Z raasch
	131	! unused variables removed
	132	!
[1037]	133	! 1036 2012-10-22 13:43:42Z raasch
	134	! code put under GPL (PALM 3.9)
	135	!
[1004]	136	! 1003 2012-09-14 14:35:53Z raasch
	137	! adjustment of array tend for cases with unequal subdomain sizes removed
	138	!
[1]	139	! Revision 1.1 1997/07/24 11:24:44 raasch
	140	! Initial revision
	141	!
	142	!
	143	! Description:
	144	! ------------
[1682]	145	!> Compute the divergence of the provisional velocity field. Solve the Poisson
	146	!> equation for the perturbation pressure. Compute the final velocities using
	147	!> this perturbation pressure. Compute the remaining divergence.
[1]	148	!------------------------------------------------------------------------------!
[1682]	149	SUBROUTINE pres
	150
[1]	151
[1320]	152	USE arrays_3d, &
[2037]	153	ONLY: d, ddzu, ddzu_pres, ddzw, dzw, p, p_loc, rho_air, rho_air_zw, &
	154	tend, u, v, w
[1320]	155
	156	USE control_parameters, &
[3012]	157	ONLY: bc_lr_cyc, bc_ns_cyc, conserve_volume_flow, coupling_mode, &
	158	dt_3d, gathered_size, ibc_p_b, ibc_p_t, &
	159	intermediate_timestep_count, intermediate_timestep_count_max, &
	160	mg_switch_to_pe0_level, nest_domain, outflow_l, outflow_n, &
	161	outflow_r, outflow_s, psolver, subdomain_size, topography, &
	162	volume_flow, volume_flow_area, volume_flow_initial
[1320]	163
	164	USE cpulog, &
	165	ONLY: cpu_log, log_point, log_point_s
	166
	167	USE grid_variables, &
	168	ONLY: ddx, ddy
	169
	170	USE indices, &
	171	ONLY: nbgp, ngp_2dh_outer, nx, nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, &
[2232]	172	ny, nys, nysg, nys_mg, nyn, nyng, nyn_mg, nzb, nzt, nzt_mg, &
	173	wall_flags_0
[1320]	174
	175	USE kinds
	176
[1]	177	USE pegrid
[1933]	178
	179	USE pmc_interface, &
	180	ONLY: nesting_mode
[1]	181
[1320]	182	USE poisfft_mod, &
	183	ONLY: poisfft
	184
[1575]	185	USE poismg_mod
	186
[2696]	187	USE poismg_noopt_mod
	188
[1320]	189	USE statistics, &
	190	ONLY: statistic_regions, sums_divnew_l, sums_divold_l, weight_pres, &
	191	weight_substep
	192
[2232]	193	USE surface_mod, &
	194	ONLY : bc_h
	195
[1]	196	IMPLICIT NONE
	197
[1682]	198	INTEGER(iwp) :: i !<
	199	INTEGER(iwp) :: j !<
	200	INTEGER(iwp) :: k !<
[2232]	201	INTEGER(iwp) :: m !<
[1]	202
[1682]	203	REAL(wp) :: ddt_3d !<
[1918]	204	REAL(wp) :: d_weight_pres !<
[1682]	205	REAL(wp) :: localsum !<
	206	REAL(wp) :: threadsum !<
[1918]	207	REAL(wp) :: weight_pres_l !<
[1929]	208	REAL(wp) :: weight_substep_l !<
[1]	209
[1762]	210	REAL(wp), DIMENSION(1:3) :: volume_flow_l !<
	211	REAL(wp), DIMENSION(1:3) :: volume_flow_offset !<
[1682]	212	REAL(wp), DIMENSION(1:nzt) :: w_l !<
	213	REAL(wp), DIMENSION(1:nzt) :: w_l_l !<
[1]	214
[1933]	215	LOGICAL :: nest_domain_nvn !<
[1]	216
[1933]	217
[1]	218	CALL cpu_log( log_point(8), 'pres', 'start' )
	219
[85]	220
[1918]	221	!
	222	!-- Calculate quantities to be used locally
[1342]	223	ddt_3d = 1.0_wp / dt_3d
[1918]	224	IF ( intermediate_timestep_count == 0 ) THEN
	225	!
	226	!-- If pres is called before initial time step
[1929]	227	weight_pres_l = 1.0_wp
	228	d_weight_pres = 1.0_wp
	229	weight_substep_l = 1.0_wp
[1918]	230	ELSE
[1929]	231	weight_pres_l = weight_pres(intermediate_timestep_count)
	232	d_weight_pres = 1.0_wp / weight_pres(intermediate_timestep_count)
	233	weight_substep_l = weight_substep(intermediate_timestep_count)
[1918]	234	ENDIF
[85]	235
[1]	236	!
[707]	237	!-- Multigrid method expects array d to have one ghost layer.
	238	!--
[1575]	239	IF ( psolver(1:9) == 'multigrid' ) THEN
[667]	240
[1]	241	DEALLOCATE( d )
[667]	242	ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
[707]	243
	244	!
	245	!-- Since p is later used to hold the weighted average of the substeps, it
	246	!-- cannot be used in the iterative solver. Therefore, its initial value is
	247	!-- stored on p_loc, which is then iteratively advanced in every substep.
[1762]	248	IF ( intermediate_timestep_count <= 1 ) THEN
[707]	249	DO i = nxl-1, nxr+1
	250	DO j = nys-1, nyn+1
	251	DO k = nzb, nzt+1
	252	p_loc(k,j,i) = p(k,j,i)
	253	ENDDO
	254	ENDDO
	255	ENDDO
[667]	256	ENDIF
	257
[1918]	258	ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count <= 1 ) THEN
[707]	259
	260	!
	261	!-- Since p is later used to hold the weighted average of the substeps, it
	262	!-- cannot be used in the iterative solver. Therefore, its initial value is
	263	!-- stored on p_loc, which is then iteratively advanced in every substep.
	264	p_loc = p
	265
[1]	266	ENDIF
	267
	268	!
[75]	269	!-- Conserve the volume flow at the outflow in case of non-cyclic lateral
	270	!-- boundary conditions
[106]	271	!-- WARNING: so far, this conservation does not work at the left/south
	272	!-- boundary if the topography at the inflow differs from that at the
	273	!-- outflow! For this case, volume_flow_area needs adjustment!
	274	!
	275	!-- Left/right
[709]	276	IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN
[680]	277
[1342]	278	volume_flow(1) = 0.0_wp
	279	volume_flow_l(1) = 0.0_wp
[106]	280
	281	IF ( outflow_l ) THEN
	282	i = 0
	283	ELSEIF ( outflow_r ) THEN
	284	i = nx+1
	285	ENDIF
	286
	287	DO j = nys, nyn
	288	!
	289	!-- Sum up the volume flow through the south/north boundary
[2232]	290	DO k = nzb+1, nzt
	291	volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k) &
	292	* MERGE( 1.0_wp, 0.0_wp, &
	293	BTEST( wall_flags_0(k,j,i), 1 ) &
	294	)
[106]	295	ENDDO
	296	ENDDO
	297
	298	#if defined( __parallel )
[680]	299	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
[106]	300	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, &
	301	MPI_SUM, comm1dy, ierr )
	302	#else
	303	volume_flow = volume_flow_l
	304	#endif
[709]	305	volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) &
[106]	306	/ volume_flow_area(1)
	307
[667]	308	DO j = nysg, nyng
[2232]	309	DO k = nzb+1, nzt
	310	u(k,j,i) = u(k,j,i) + volume_flow_offset(1) &
	311	* MERGE( 1.0_wp, 0.0_wp, &
	312	BTEST( wall_flags_0(k,j,i), 1 ) &
	313	)
[106]	314	ENDDO
	315	ENDDO
	316
	317	ENDIF
	318
	319	!
	320	!-- South/north
[709]	321	IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN
[106]	322
[1342]	323	volume_flow(2) = 0.0_wp
	324	volume_flow_l(2) = 0.0_wp
[75]	325
[106]	326	IF ( outflow_s ) THEN
	327	j = 0
	328	ELSEIF ( outflow_n ) THEN
[75]	329	j = ny+1
[106]	330	ENDIF
	331
	332	DO i = nxl, nxr
[75]	333	!
[106]	334	!-- Sum up the volume flow through the south/north boundary
[2232]	335	DO k = nzb+1, nzt
	336	volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k) &
	337	* MERGE( 1.0_wp, 0.0_wp, &
	338	BTEST( wall_flags_0(k,j,i), 2 ) &
	339	)
[75]	340	ENDDO
[106]	341	ENDDO
	342
[75]	343	#if defined( __parallel )
[680]	344	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
[75]	345	CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, &
	346	MPI_SUM, comm1dx, ierr )
	347	#else
	348	volume_flow = volume_flow_l
	349	#endif
	350	volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) &
[106]	351	/ volume_flow_area(2)
[75]	352
[667]	353	DO i = nxlg, nxrg
[2232]	354	DO k = nzb+1, nzt
	355	v(k,j,i) = v(k,j,i) + volume_flow_offset(2) &
	356	* MERGE( 1.0_wp, 0.0_wp, &
	357	BTEST( wall_flags_0(k,j,i), 2 ) &
	358	)
[75]	359	ENDDO
[106]	360	ENDDO
[75]	361
	362	ENDIF
	363
[76]	364	!
[1762]	365	!-- Remove mean vertical velocity in case that Neumann conditions are
[1933]	366	!-- used both at bottom and top boundary, and if not a nested domain in a
	367	!-- normal nesting run. In case of vertical nesting, this must be done.
	368	!-- Therefore an auxiliary logical variable nest_domain_nvn is used here, and
	369	!-- nvn stands for non-vertical nesting.
[1918]	370	!-- This cannot be done before the first initial time step because ngp_2dh_outer
	371	!-- is not yet known then.
[1933]	372	nest_domain_nvn = nest_domain
	373	IF ( nest_domain .AND. nesting_mode == 'vertical' ) THEN
	374	nest_domain_nvn = .FALSE.
	375	ENDIF
	376
	377	IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 .AND. &
	378	.NOT. nest_domain_nvn .AND. intermediate_timestep_count /= 0 ) &
[1918]	379	THEN
	380	w_l = 0.0_wp; w_l_l = 0.0_wp
	381	DO i = nxl, nxr
	382	DO j = nys, nyn
[2232]	383	DO k = nzb+1, nzt
	384	w_l_l(k) = w_l_l(k) + w(k,j,i) &
	385	* MERGE( 1.0_wp, 0.0_wp, &
	386	BTEST( wall_flags_0(k,j,i), 3 ) &
	387	)
[76]	388	ENDDO
	389	ENDDO
[1918]	390	ENDDO
[76]	391	#if defined( __parallel )
[1918]	392	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	393	CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, &
	394	comm2d, ierr )
[76]	395	#else
[1918]	396	w_l = w_l_l
[76]	397	#endif
[1918]	398	DO k = 1, nzt
	399	w_l(k) = w_l(k) / ngp_2dh_outer(k,0)
	400	ENDDO
	401	DO i = nxlg, nxrg
	402	DO j = nysg, nyng
[2232]	403	DO k = nzb+1, nzt
	404	w(k,j,i) = w(k,j,i) - w_l(k) &
	405	* MERGE( 1.0_wp, 0.0_wp, &
	406	BTEST( wall_flags_0(k,j,i), 3 ) &
	407	)
[76]	408	ENDDO
	409	ENDDO
[1918]	410	ENDDO
[76]	411	ENDIF
[75]	412
	413	!
[1]	414	!-- Compute the divergence of the provisional velocity field.
	415	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	416
[1575]	417	IF ( psolver(1:9) == 'multigrid' ) THEN
[2232]	418	!$OMP PARALLEL DO SCHEDULE( STATIC ) PRIVATE (i,j,k)
[1]	419	DO i = nxl-1, nxr+1
	420	DO j = nys-1, nyn+1
	421	DO k = nzb, nzt+1
[1342]	422	d(k,j,i) = 0.0_wp
[1]	423	ENDDO
	424	ENDDO
	425	ENDDO
	426	ELSE
[2232]	427	!$OMP PARALLEL DO SCHEDULE( STATIC ) PRIVATE (i,j,k)
[1003]	428	DO i = nxl, nxr
	429	DO j = nys, nyn
	430	DO k = nzb+1, nzt
[1342]	431	d(k,j,i) = 0.0_wp
[1]	432	ENDDO
	433	ENDDO
	434	ENDDO
	435	ENDIF
	436
[1342]	437	localsum = 0.0_wp
	438	threadsum = 0.0_wp
[1]	439
	440	#if defined( __ibm )
	441	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	442	!$OMP DO SCHEDULE( STATIC )
	443	DO i = nxl, nxr
	444	DO j = nys, nyn
[2232]	445	DO k = nzb+1, nzt
[2037]	446	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * rho_air(k) * ddx + &
	447	( v(k,j+1,i) - v(k,j,i) ) * rho_air(k) * ddy + &
	448	( w(k,j,i) * rho_air_zw(k) - &
	449	w(k-1,j,i) * rho_air_zw(k-1) ) * ddzw(k) &
[2232]	450	) * ddt_3d * d_weight_pres &
	451	* MERGE( 1.0_wp, 0.0_wp, &
	452	BTEST( wall_flags_0(k,j,i), 0 ) &
	453	)
[1]	454	ENDDO
	455	!
	456	!-- Compute possible PE-sum of divergences for flow_statistics
[2232]	457	DO k = nzb+1, nzt
	458	threadsum = threadsum + ABS( d(k,j,i) ) &
	459	* MERGE( 1.0_wp, 0.0_wp, &
	460	BTEST( wall_flags_0(k,j,i), 0 ) &
	461	)
[1]	462	ENDDO
	463
	464	ENDDO
	465	ENDDO
	466
[1918]	467	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	468	intermediate_timestep_count == 0 ) THEN
	469	localsum = localsum + threadsum * dt_3d * weight_pres_l
[1908]	470	ENDIF
[1]	471	!$OMP END PARALLEL
	472	#else
	473
[1111]	474	!$OMP PARALLEL PRIVATE (i,j,k)
	475	!$OMP DO SCHEDULE( STATIC )
	476	DO i = nxl, nxr
	477	DO j = nys, nyn
	478	DO k = 1, nzt
[2037]	479	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * rho_air(k) * ddx + &
	480	( v(k,j+1,i) - v(k,j,i) ) * rho_air(k) * ddy + &
	481	( w(k,j,i) * rho_air_zw(k) - &
	482	w(k-1,j,i) * rho_air_zw(k-1) ) * ddzw(k) &
[2232]	483	) * ddt_3d * d_weight_pres &
	484	* MERGE( 1.0_wp, 0.0_wp, &
	485	BTEST( wall_flags_0(k,j,i), 0 ) &
	486	)
[1]	487	ENDDO
	488	ENDDO
[1111]	489	ENDDO
	490	!$OMP END PARALLEL
[1]	491
	492	!
[1908]	493	!-- Compute possible PE-sum of divergences for flow_statistics. Carry out
	494	!-- computation only at last Runge-Kutta substep.
[1918]	495	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	496	intermediate_timestep_count == 0 ) THEN
[1908]	497	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	498	!$OMP DO SCHEDULE( STATIC )
	499	DO i = nxl, nxr
	500	DO j = nys, nyn
	501	DO k = nzb+1, nzt
	502	threadsum = threadsum + ABS( d(k,j,i) )
	503	ENDDO
[1]	504	ENDDO
	505	ENDDO
[1918]	506	localsum = localsum + threadsum * dt_3d * weight_pres_l
[1908]	507	!$OMP END PARALLEL
	508	ENDIF
[1]	509	#endif
	510
	511	!
	512	!-- For completeness, set the divergence sum of all statistic regions to those
	513	!-- of the total domain
[1918]	514	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	515	intermediate_timestep_count == 0 ) THEN
[1908]	516	sums_divold_l(0:statistic_regions) = localsum
[1918]	517	ENDIF
[1]	518
	519	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
	520
	521	!
	522	!-- Compute the pressure perturbation solving the Poisson equation
[1575]	523	IF ( psolver == 'poisfft' ) THEN
[1]	524
	525	!
	526	!-- Solve Poisson equation via FFT and solution of tridiagonal matrices
[1575]	527	CALL poisfft( d )
[1212]	528
[1]	529	!
	530	!-- Store computed perturbation pressure and set boundary condition in
	531	!-- z-direction
[2232]	532	!$OMP PARALLEL DO PRIVATE (i,j,k)
[1]	533	DO i = nxl, nxr
	534	DO j = nys, nyn
	535	DO k = nzb+1, nzt
	536	tend(k,j,i) = d(k,j,i)
	537	ENDDO
	538	ENDDO
	539	ENDDO
	540
	541	!
	542	!-- Bottom boundary:
	543	!-- This condition is only required for internal output. The pressure
	544	!-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else.
	545	IF ( ibc_p_b == 1 ) THEN
	546	!
[2232]	547	!-- Neumann (dp/dz = 0). Using surfae data type, first for non-natural
	548	!-- surfaces, then for natural and urban surfaces
	549	!-- Upward facing
	550	!$OMP PARALLEL DO PRIVATE( i, j, k )
	551	DO m = 1, bc_h(0)%ns
[2298]	552	i = bc_h(0)%i(m)
	553	j = bc_h(0)%j(m)
	554	k = bc_h(0)%k(m)
[2232]	555	tend(k-1,j,i) = tend(k,j,i)
[1]	556	ENDDO
[2232]	557	!
	558	!-- Downward facing
	559	!$OMP PARALLEL DO PRIVATE( i, j, k )
	560	DO m = 1, bc_h(1)%ns
[2298]	561	i = bc_h(1)%i(m)
	562	j = bc_h(1)%j(m)
	563	k = bc_h(1)%k(m)
[2232]	564	tend(k+1,j,i) = tend(k,j,i)
	565	ENDDO
[1]	566
	567	ELSE
	568	!
[2232]	569	!-- Dirichlet. Using surface data type, first for non-natural
	570	!-- surfaces, then for natural and urban surfaces
	571	!-- Upward facing
	572	!$OMP PARALLEL DO PRIVATE( i, j, k )
	573	DO m = 1, bc_h(0)%ns
[2298]	574	i = bc_h(0)%i(m)
	575	j = bc_h(0)%j(m)
	576	k = bc_h(0)%k(m)
[2232]	577	tend(k-1,j,i) = 0.0_wp
[1]	578	ENDDO
[2232]	579	!
	580	!-- Downward facing
	581	!$OMP PARALLEL DO PRIVATE( i, j, k )
	582	DO m = 1, bc_h(1)%ns
[2298]	583	i = bc_h(1)%i(m)
	584	j = bc_h(1)%j(m)
	585	k = bc_h(1)%k(m)
[2232]	586	tend(k+1,j,i) = 0.0_wp
	587	ENDDO
[1]	588
	589	ENDIF
	590
	591	!
	592	!-- Top boundary
	593	IF ( ibc_p_t == 1 ) THEN
	594	!
	595	!-- Neumann
[2232]	596	!$OMP PARALLEL DO PRIVATE (i,j,k)
[667]	597	DO i = nxlg, nxrg
	598	DO j = nysg, nyng
[1]	599	tend(nzt+1,j,i) = tend(nzt,j,i)
	600	ENDDO
	601	ENDDO
	602
	603	ELSE
	604	!
	605	!-- Dirichlet
[2232]	606	!$OMP PARALLEL DO PRIVATE (i,j,k)
[667]	607	DO i = nxlg, nxrg
	608	DO j = nysg, nyng
[1342]	609	tend(nzt+1,j,i) = 0.0_wp
[1]	610	ENDDO
	611	ENDDO
	612
	613	ENDIF
	614
	615	!
	616	!-- Exchange boundaries for p
[667]	617	CALL exchange_horiz( tend, nbgp )
[1]	618
	619	ELSEIF ( psolver == 'sor' ) THEN
	620
	621	!
	622	!-- Solve Poisson equation for perturbation pressure using SOR-Red/Black
	623	!-- scheme
[707]	624	CALL sor( d, ddzu_pres, ddzw, p_loc )
	625	tend = p_loc
[1]	626
[1575]	627	ELSEIF ( psolver(1:9) == 'multigrid' ) THEN
[1]	628
	629	!
	630	!-- Solve Poisson equation for perturbation pressure using Multigrid scheme,
[2298]	631	!-- array tend is used to store the residuals.
[778]	632
	633	!-- If the number of grid points of the gathered grid, which is collected
	634	!-- on PE0, is larger than the number of grid points of an PE, than array
	635	!-- tend will be enlarged.
	636	IF ( gathered_size > subdomain_size ) THEN
	637	DEALLOCATE( tend )
	638	ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( &
	639	mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,&
	640	nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( &
	641	mg_switch_to_pe0_level)+1) )
	642	ENDIF
	643
[1575]	644	IF ( psolver == 'multigrid' ) THEN
	645	CALL poismg( tend )
	646	ELSE
[1931]	647	CALL poismg_noopt( tend )
[1575]	648	ENDIF
[707]	649
[778]	650	IF ( gathered_size > subdomain_size ) THEN
	651	DEALLOCATE( tend )
	652	ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	653	ENDIF
	654
[1]	655	!
	656	!-- Restore perturbation pressure on tend because this array is used
	657	!-- further below to correct the velocity fields
[707]	658	DO i = nxl-1, nxr+1
	659	DO j = nys-1, nyn+1
	660	DO k = nzb, nzt+1
	661	tend(k,j,i) = p_loc(k,j,i)
	662	ENDDO
	663	ENDDO
	664	ENDDO
[667]	665
[1]	666	ENDIF
	667
	668	!
[707]	669	!-- Store perturbation pressure on array p, used for pressure data output.
	670	!-- Ghost layers are added in the output routines (except sor-method: see below)
[1918]	671	IF ( intermediate_timestep_count <= 1 ) THEN
[707]	672	!$OMP PARALLEL PRIVATE (i,j,k)
	673	!$OMP DO
	674	DO i = nxl-1, nxr+1
	675	DO j = nys-1, nyn+1
	676	DO k = nzb, nzt+1
	677	p(k,j,i) = tend(k,j,i) * &
[1929]	678	weight_substep_l
[673]	679	ENDDO
[1]	680	ENDDO
[707]	681	ENDDO
	682	!$OMP END PARALLEL
	683
[1762]	684	ELSEIF ( intermediate_timestep_count > 1 ) THEN
[707]	685	!$OMP PARALLEL PRIVATE (i,j,k)
	686	!$OMP DO
	687	DO i = nxl-1, nxr+1
	688	DO j = nys-1, nyn+1
	689	DO k = nzb, nzt+1
	690	p(k,j,i) = p(k,j,i) + tend(k,j,i) * &
[1929]	691	weight_substep_l
[673]	692	ENDDO
	693	ENDDO
[707]	694	ENDDO
	695	!$OMP END PARALLEL
	696
	697	ENDIF
[673]	698
[707]	699	!
	700	!-- SOR-method needs ghost layers for the next timestep
	701	IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp )
[682]	702
[1]	703	!
	704	!-- Correction of the provisional velocities with the current perturbation
	705	!-- pressure just computed
[709]	706	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN
[1342]	707	volume_flow_l(1) = 0.0_wp
	708	volume_flow_l(2) = 0.0_wp
[1]	709	ENDIF
[707]	710
[1]	711	!$OMP PARALLEL PRIVATE (i,j,k)
	712	!$OMP DO
[673]	713	DO i = nxl, nxr
[1]	714	DO j = nys, nyn
[2118]	715
[2232]	716	DO k = nzb+1, nzt
	717	w(k,j,i) = w(k,j,i) - dt_3d * &
	718	( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) &
	719	* weight_pres_l &
	720	* MERGE( 1.0_wp, 0.0_wp, &
	721	BTEST( wall_flags_0(k,j,i), 3 ) &
	722	)
[1]	723	ENDDO
[2118]	724
[2232]	725	DO k = nzb+1, nzt
	726	u(k,j,i) = u(k,j,i) - dt_3d * &
	727	( tend(k,j,i) - tend(k,j,i-1) ) * ddx &
	728	* weight_pres_l &
	729	* MERGE( 1.0_wp, 0.0_wp, &
	730	BTEST( wall_flags_0(k,j,i), 1 ) &
	731	)
[1]	732	ENDDO
[2118]	733
[2232]	734	DO k = nzb+1, nzt
	735	v(k,j,i) = v(k,j,i) - dt_3d * &
	736	( tend(k,j,i) - tend(k,j-1,i) ) * ddy &
	737	* weight_pres_l &
	738	* MERGE( 1.0_wp, 0.0_wp, &
	739	BTEST( wall_flags_0(k,j,i), 2 ) &
	740	)
[673]	741	ENDDO
[1]	742
	743	ENDDO
	744	ENDDO
	745	!$OMP END PARALLEL
[1113]	746
	747	!
[3012]	748	!-- The vertical velocity is not set to zero at nzt + 1 for nested domains
	749	!-- Instead it is set to the values of nzt (see routine vnest_boundary_conds
	750	!-- or pmci_interp_tril_t) BEFORE calling the pressure solver. To avoid jumps
	751	!-- while plotting profiles w at the top has to be set to the values in the
	752	!-- height nzt after above modifications. Hint: w level nzt+1 does not impact
	753	!-- results.
	754	IF (nest_domain .OR. coupling_mode == 'vnested_fine') THEN
	755	w(nzt+1,:,:) = w(nzt,:,:)
	756	ENDIF
	757
	758	!
[1113]	759	!-- Sum up the volume flow through the right and north boundary
[2232]	760	IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. &
[1113]	761	nxr == nx ) THEN
	762
	763	!$OMP PARALLEL PRIVATE (j,k)
	764	!$OMP DO
	765	DO j = nys, nyn
	766	!$OMP CRITICAL
[2232]	767	DO k = nzb+1, nzt
	768	volume_flow_l(1) = volume_flow_l(1) + u(k,j,nxr) * dzw(k) &
	769	* MERGE( 1.0_wp, 0.0_wp, &
	770	BTEST( wall_flags_0(k,j,nxr), 1 )&
	771	)
[1113]	772	ENDDO
	773	!$OMP END CRITICAL
	774	ENDDO
	775	!$OMP END PARALLEL
	776
	777	ENDIF
	778
[2232]	779	IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. &
[1113]	780	nyn == ny ) THEN
	781
	782	!$OMP PARALLEL PRIVATE (i,k)
	783	!$OMP DO
	784	DO i = nxl, nxr
	785	!$OMP CRITICAL
[2232]	786	DO k = nzb+1, nzt
	787	volume_flow_l(2) = volume_flow_l(2) + v(k,nyn,i) * dzw(k) &
	788	* MERGE( 1.0_wp, 0.0_wp, &
	789	BTEST( wall_flags_0(k,nyn,i), 2 )&
	790	)
[1113]	791	ENDDO
	792	!$OMP END CRITICAL
	793	ENDDO
	794	!$OMP END PARALLEL
	795
	796	ENDIF
[673]	797
[1]	798	!
	799	!-- Conserve the volume flow
[707]	800	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN
[1]	801
	802	#if defined( __parallel )
[622]	803	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	804	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, &
	805	MPI_SUM, comm2d, ierr )
	806	#else
	807	volume_flow = volume_flow_l
	808	#endif
	809
[1799]	810	volume_flow_offset(1:2) = ( volume_flow_initial(1:2) - volume_flow(1:2) ) / &
	811	volume_flow_area(1:2)
[1]	812
	813	!$OMP PARALLEL PRIVATE (i,j,k)
	814	!$OMP DO
	815	DO i = nxl, nxr
	816	DO j = nys, nyn
[2232]	817	DO k = nzb+1, nzt
	818	u(k,j,i) = u(k,j,i) + volume_flow_offset(1) &
	819	* MERGE( 1.0_wp, 0.0_wp, &
	820	BTEST( wall_flags_0(k,j,i), 1 ) &
	821	)
[719]	822	ENDDO
[2232]	823	DO k = nzb+1, nzt
	824	v(k,j,i) = v(k,j,i) + volume_flow_offset(2) &
	825	* MERGE( 1.0_wp, 0.0_wp, &
	826	BTEST( wall_flags_0(k,j,i), 2 ) &
	827	)
[667]	828	ENDDO
[1]	829	ENDDO
	830	ENDDO
[667]	831
[1]	832	!$OMP END PARALLEL
	833
	834	ENDIF
	835
	836	!
	837	!-- Exchange of boundaries for the velocities
[667]	838	CALL exchange_horiz( u, nbgp )
	839	CALL exchange_horiz( v, nbgp )
	840	CALL exchange_horiz( w, nbgp )
[1]	841
	842	!
	843	!-- Compute the divergence of the corrected velocity field,
[1908]	844	!-- A possible PE-sum is computed in flow_statistics. Carry out computation
	845	!-- only at last Runge-Kutta step.
[1918]	846	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	847	intermediate_timestep_count == 0 ) THEN
[1908]	848	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	849	sums_divnew_l = 0.0_wp
[1]	850
	851	!
[1908]	852	!-- d must be reset to zero because it can contain nonzero values below the
	853	!-- topography
	854	IF ( topography /= 'flat' ) d = 0.0_wp
[1]	855
[1908]	856	localsum = 0.0_wp
	857	threadsum = 0.0_wp
[1]	858
[1908]	859	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
[2073]	860	#if defined( __ibm )
[1908]	861	!$OMP DO SCHEDULE( STATIC )
	862	DO i = nxl, nxr
	863	DO j = nys, nyn
[2232]	864	DO k = nzb+1, nzt
	865	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * rho_air(k) * ddx + &
	866	( v(k,j+1,i) - v(k,j,i) ) * rho_air(k) * ddy + &
	867	( w(k,j,i) * rho_air_zw(k) - &
	868	w(k-1,j,i) * rho_air_zw(k-1) ) * ddzw(k) &
	869	) * MERGE( 1.0_wp, 0.0_wp, &
	870	BTEST( wall_flags_0(k,j,i), 0 ) &
	871	)
[1908]	872	ENDDO
	873	DO k = nzb+1, nzt
	874	threadsum = threadsum + ABS( d(k,j,i) )
	875	ENDDO
[1]	876	ENDDO
	877	ENDDO
	878	#else
[2073]	879	!$OMP DO SCHEDULE( STATIC )
[1908]	880	DO i = nxl, nxr
	881	DO j = nys, nyn
[2232]	882	DO k = nzb+1, nzt
[2037]	883	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * rho_air(k) * ddx + &
	884	( v(k,j+1,i) - v(k,j,i) ) * rho_air(k) * ddy + &
	885	( w(k,j,i) * rho_air_zw(k) - &
	886	w(k-1,j,i) * rho_air_zw(k-1) ) * ddzw(k) &
[2232]	887	) * MERGE( 1.0_wp, 0.0_wp, &
	888	BTEST( wall_flags_0(k,j,i), 0 ) &
	889	)
[1908]	890	ENDDO
[1113]	891	ENDDO
	892	ENDDO
	893	!
[1908]	894	!-- Compute possible PE-sum of divergences for flow_statistics
[2073]	895	!$OMP DO SCHEDULE( STATIC )
[1908]	896	DO i = nxl, nxr
	897	DO j = nys, nyn
	898	DO k = nzb+1, nzt
	899	threadsum = threadsum + ABS( d(k,j,i) )
	900	ENDDO
[1]	901	ENDDO
	902	ENDDO
	903	#endif
[667]	904
[1908]	905	localsum = localsum + threadsum
	906	!$OMP END PARALLEL
[1]	907
	908	!
[1908]	909	!-- For completeness, set the divergence sum of all statistic regions to those
	910	!-- of the total domain
	911	sums_divnew_l(0:statistic_regions) = localsum
[1]	912
[1908]	913	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
[1]	914
[1908]	915	ENDIF
	916
[1]	917	CALL cpu_log( log_point(8), 'pres', 'stop' )
	918
	919
	920	END SUBROUTINE pres

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