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source: palm/trunk/SOURCE/pres.f90 @ 2636

Last change on this file since 2636 was 2298, checked in by raasch, 7 years ago
write_binary is of type LOGICAL now, MPI2-related code removed, obsolete variables removed, sendrecv_in_background related parts removed, missing variable descriptions added
Property svn:keywords set to `Id`
File size: 30.3 KB

Rev	Line
[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	!
[2101]	17	! Copyright 1997-2017 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[484]	20	! Current revisions:
[1212]	21	! ------------------
[1932]	22	!
[2233]	23	!
[1919]	24	! Former revisions:
	25	! -----------------
	26	! $Id: pres.f90 2298 2017-06-29 09:28:18Z raasch $
[2298]	27	! comment changed + some formatting
	28	!
	29	! 2233 2017-05-30 18:08:54Z suehring
[1919]	30	!
[2233]	31	! 2232 2017-05-30 17:47:52Z suehring
	32	! Adjustments to new topography and surface concept
	33	!
[2119]	34	! 2118 2017-01-17 16:38:49Z raasch
	35	! OpenACC directives and related code removed
	36	!
[2074]	37	! 2073 2016-11-30 14:34:05Z raasch
	38	! openmp bugfix for calculation of new divergence
	39	!
[2038]	40	! 2037 2016-10-26 11:15:40Z knoop
	41	! Anelastic approximation implemented
	42	!
[2001]	43	! 2000 2016-08-20 18:09:15Z knoop
	44	! Forced header and separation lines into 80 columns
	45	!
[1933]	46	! 1932 2016-06-10 12:09:21Z suehring
	47	! Initial version of purely vertical nesting introduced.
	48	!
[1932]	49	! 1931 2016-06-10 12:06:59Z suehring
	50	! Rename multigrid into multigrid_noopt and multigrid_fast into multigrid
	51	!
[1930]	52	! 1929 2016-06-09 16:25:25Z suehring
	53	! Bugfix: weight_substep for initial call, replace by local variable
	54	!
[1919]	55	! 1918 2016-05-27 14:35:57Z raasch
[1918]	56	! sum of divergence is also calculated when pres is called before the initial
	57	! first time step,
	58	! stearing is modified by using intermediate_timestep_count = 0 in order to
	59	! determine if pres is called before the first initial timestep,
	60	! bugfix: in case of Neumann conditions for pressure both at bottom and top,
	61	! mean vertical velocity is also removed for the first time step
	62	! bugfix for calculating divergences
[1321]	63	!
[1909]	64	! 1908 2016-05-25 17:22:32Z suehring
	65	! New divergence for output into RUN_CONTROL file is calculated only at last
	66	! Runge-Kutta step
	67	!
[1846]	68	! 1845 2016-04-08 08:29:13Z raasch
	69	! nzb_2d replace by nzb_u\|v_inner
	70	!
[1800]	71	! 1799 2016-04-05 08:35:55Z gronemeier
	72	! Bugfix: excluded third dimension from horizontal volume flow calculation
	73	!
[1763]	74	! 1762 2016-02-25 12:31:13Z hellstea
	75	! Introduction of nested domain feature
	76	!
[1683]	77	! 1682 2015-10-07 23:56:08Z knoop
	78	! Code annotations made doxygen readable
	79	!
[1576]	80	! 1575 2015-03-27 09:56:27Z raasch
	81	! poismg_fast + respective module added, adjustments for psolver-queries
	82	!
[1343]	83	! 1342 2014-03-26 17:04:47Z kanani
	84	! REAL constants defined as wp-kind
	85	!
[1321]	86	! 1320 2014-03-20 08:40:49Z raasch
[1320]	87	! ONLY-attribute added to USE-statements,
	88	! kind-parameters added to all INTEGER and REAL declaration statements,
	89	! kinds are defined in new module kinds,
	90	! old module precision_kind is removed,
	91	! revision history before 2012 removed,
	92	! comment fields (!:) to be used for variable explanations added to
	93	! all variable declaration statements
[708]	94	!
[1319]	95	! 1318 2014-03-17 13:35:16Z raasch
	96	! module interfaces removed
	97	!
[1307]	98	! 1306 2014-03-13 14:30:59Z raasch
	99	! second argument removed from routine poisfft
	100	!
[1258]	101	! 1257 2013-11-08 15:18:40Z raasch
	102	! openacc loop and loop vector clauses removed, independent clauses added,
	103	! end parallel replaced by end parallel loop
	104	!
[1222]	105	! 1221 2013-09-10 08:59:13Z raasch
	106	! openACC porting of reduction operations, loops for calculating d are
	107	! using the rflags_s_inner multiply flag instead of the nzb_s_inner loop index
	108	!
[1213]	109	! 1212 2013-08-15 08:46:27Z raasch
	110	! call of poisfft_hybrid removed
	111	!
[1118]	112	! 1117 2013-03-27 11:15:36Z suehring
	113	! Bugfix in OpenMP parallelization.
	114	!
[1114]	115	! 1113 2013-03-10 02:48:14Z raasch
	116	! GPU-porting of several loops, some loops rearranged
	117	!
[1112]	118	! 1111 2013-03-08 23:54:10Z
	119	! openACC statements added,
	120	! ibc_p_b = 2 removed
	121	!
[1093]	122	! 1092 2013-02-02 11:24:22Z raasch
	123	! unused variables removed
	124	!
[1037]	125	! 1036 2012-10-22 13:43:42Z raasch
	126	! code put under GPL (PALM 3.9)
	127	!
[1004]	128	! 1003 2012-09-14 14:35:53Z raasch
	129	! adjustment of array tend for cases with unequal subdomain sizes removed
	130	!
[1]	131	! Revision 1.1 1997/07/24 11:24:44 raasch
	132	! Initial revision
	133	!
	134	!
	135	! Description:
	136	! ------------
[1682]	137	!> Compute the divergence of the provisional velocity field. Solve the Poisson
	138	!> equation for the perturbation pressure. Compute the final velocities using
	139	!> this perturbation pressure. Compute the remaining divergence.
[1]	140	!------------------------------------------------------------------------------!
[1682]	141	SUBROUTINE pres
	142
[1]	143
[1320]	144	USE arrays_3d, &
[2037]	145	ONLY: d, ddzu, ddzu_pres, ddzw, dzw, p, p_loc, rho_air, rho_air_zw, &
	146	tend, u, v, w
[1320]	147
	148	USE control_parameters, &
	149	ONLY: bc_lr_cyc, bc_ns_cyc, conserve_volume_flow, dt_3d, &
	150	gathered_size, ibc_p_b, ibc_p_t, intermediate_timestep_count, &
[1908]	151	intermediate_timestep_count_max, mg_switch_to_pe0_level, &
[2118]	152	nest_domain, outflow_l, outflow_n, outflow_r, &
[1918]	153	outflow_s, psolver, subdomain_size, topography, volume_flow, &
	154	volume_flow_area, volume_flow_initial
[1320]	155
	156	USE cpulog, &
	157	ONLY: cpu_log, log_point, log_point_s
	158
	159	USE grid_variables, &
	160	ONLY: ddx, ddy
	161
	162	USE indices, &
	163	ONLY: nbgp, ngp_2dh_outer, nx, nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, &
[2232]	164	ny, nys, nysg, nys_mg, nyn, nyng, nyn_mg, nzb, nzt, nzt_mg, &
	165	wall_flags_0
[1320]	166
	167	USE kinds
	168
[1]	169	USE pegrid
[1933]	170
	171	USE pmc_interface, &
	172	ONLY: nesting_mode
[1]	173
[1320]	174	USE poisfft_mod, &
	175	ONLY: poisfft
	176
[1575]	177	USE poismg_mod
	178
[1320]	179	USE statistics, &
	180	ONLY: statistic_regions, sums_divnew_l, sums_divold_l, weight_pres, &
	181	weight_substep
	182
[2232]	183	USE surface_mod, &
	184	ONLY : bc_h
	185
[1]	186	IMPLICIT NONE
	187
[1682]	188	INTEGER(iwp) :: i !<
	189	INTEGER(iwp) :: j !<
	190	INTEGER(iwp) :: k !<
[2232]	191	INTEGER(iwp) :: m !<
[1]	192
[1682]	193	REAL(wp) :: ddt_3d !<
[1918]	194	REAL(wp) :: d_weight_pres !<
[1682]	195	REAL(wp) :: localsum !<
	196	REAL(wp) :: threadsum !<
[1918]	197	REAL(wp) :: weight_pres_l !<
[1929]	198	REAL(wp) :: weight_substep_l !<
[1]	199
[1762]	200	REAL(wp), DIMENSION(1:3) :: volume_flow_l !<
	201	REAL(wp), DIMENSION(1:3) :: volume_flow_offset !<
[1682]	202	REAL(wp), DIMENSION(1:nzt) :: w_l !<
	203	REAL(wp), DIMENSION(1:nzt) :: w_l_l !<
[1]	204
[1933]	205	LOGICAL :: nest_domain_nvn !<
[1]	206
[1933]	207
[1]	208	CALL cpu_log( log_point(8), 'pres', 'start' )
	209
[85]	210
[1918]	211	!
	212	!-- Calculate quantities to be used locally
[1342]	213	ddt_3d = 1.0_wp / dt_3d
[1918]	214	IF ( intermediate_timestep_count == 0 ) THEN
	215	!
	216	!-- If pres is called before initial time step
[1929]	217	weight_pres_l = 1.0_wp
	218	d_weight_pres = 1.0_wp
	219	weight_substep_l = 1.0_wp
[1918]	220	ELSE
[1929]	221	weight_pres_l = weight_pres(intermediate_timestep_count)
	222	d_weight_pres = 1.0_wp / weight_pres(intermediate_timestep_count)
	223	weight_substep_l = weight_substep(intermediate_timestep_count)
[1918]	224	ENDIF
[85]	225
[1]	226	!
[707]	227	!-- Multigrid method expects array d to have one ghost layer.
	228	!--
[1575]	229	IF ( psolver(1:9) == 'multigrid' ) THEN
[667]	230
[1]	231	DEALLOCATE( d )
[667]	232	ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
[707]	233
	234	!
	235	!-- Since p is later used to hold the weighted average of the substeps, it
	236	!-- cannot be used in the iterative solver. Therefore, its initial value is
	237	!-- stored on p_loc, which is then iteratively advanced in every substep.
[1762]	238	IF ( intermediate_timestep_count <= 1 ) THEN
[707]	239	DO i = nxl-1, nxr+1
	240	DO j = nys-1, nyn+1
	241	DO k = nzb, nzt+1
	242	p_loc(k,j,i) = p(k,j,i)
	243	ENDDO
	244	ENDDO
	245	ENDDO
[667]	246	ENDIF
	247
[1918]	248	ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count <= 1 ) THEN
[707]	249
	250	!
	251	!-- Since p is later used to hold the weighted average of the substeps, it
	252	!-- cannot be used in the iterative solver. Therefore, its initial value is
	253	!-- stored on p_loc, which is then iteratively advanced in every substep.
	254	p_loc = p
	255
[1]	256	ENDIF
	257
	258	!
[75]	259	!-- Conserve the volume flow at the outflow in case of non-cyclic lateral
	260	!-- boundary conditions
[106]	261	!-- WARNING: so far, this conservation does not work at the left/south
	262	!-- boundary if the topography at the inflow differs from that at the
	263	!-- outflow! For this case, volume_flow_area needs adjustment!
	264	!
	265	!-- Left/right
[709]	266	IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN
[680]	267
[1342]	268	volume_flow(1) = 0.0_wp
	269	volume_flow_l(1) = 0.0_wp
[106]	270
	271	IF ( outflow_l ) THEN
	272	i = 0
	273	ELSEIF ( outflow_r ) THEN
	274	i = nx+1
	275	ENDIF
	276
	277	DO j = nys, nyn
	278	!
	279	!-- Sum up the volume flow through the south/north boundary
[2232]	280	DO k = nzb+1, nzt
	281	volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k) &
	282	* MERGE( 1.0_wp, 0.0_wp, &
	283	BTEST( wall_flags_0(k,j,i), 1 ) &
	284	)
[106]	285	ENDDO
	286	ENDDO
	287
	288	#if defined( __parallel )
[680]	289	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
[106]	290	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, &
	291	MPI_SUM, comm1dy, ierr )
	292	#else
	293	volume_flow = volume_flow_l
	294	#endif
[709]	295	volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) &
[106]	296	/ volume_flow_area(1)
	297
[667]	298	DO j = nysg, nyng
[2232]	299	DO k = nzb+1, nzt
	300	u(k,j,i) = u(k,j,i) + volume_flow_offset(1) &
	301	* MERGE( 1.0_wp, 0.0_wp, &
	302	BTEST( wall_flags_0(k,j,i), 1 ) &
	303	)
[106]	304	ENDDO
	305	ENDDO
	306
	307	ENDIF
	308
	309	!
	310	!-- South/north
[709]	311	IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN
[106]	312
[1342]	313	volume_flow(2) = 0.0_wp
	314	volume_flow_l(2) = 0.0_wp
[75]	315
[106]	316	IF ( outflow_s ) THEN
	317	j = 0
	318	ELSEIF ( outflow_n ) THEN
[75]	319	j = ny+1
[106]	320	ENDIF
	321
	322	DO i = nxl, nxr
[75]	323	!
[106]	324	!-- Sum up the volume flow through the south/north boundary
[2232]	325	DO k = nzb+1, nzt
	326	volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k) &
	327	* MERGE( 1.0_wp, 0.0_wp, &
	328	BTEST( wall_flags_0(k,j,i), 2 ) &
	329	)
[75]	330	ENDDO
[106]	331	ENDDO
	332
[75]	333	#if defined( __parallel )
[680]	334	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
[75]	335	CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, &
	336	MPI_SUM, comm1dx, ierr )
	337	#else
	338	volume_flow = volume_flow_l
	339	#endif
	340	volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) &
[106]	341	/ volume_flow_area(2)
[75]	342
[667]	343	DO i = nxlg, nxrg
[2232]	344	DO k = nzb+1, nzt
	345	v(k,j,i) = v(k,j,i) + volume_flow_offset(2) &
	346	* MERGE( 1.0_wp, 0.0_wp, &
	347	BTEST( wall_flags_0(k,j,i), 2 ) &
	348	)
[75]	349	ENDDO
[106]	350	ENDDO
[75]	351
	352	ENDIF
	353
[76]	354	!
[1762]	355	!-- Remove mean vertical velocity in case that Neumann conditions are
[1933]	356	!-- used both at bottom and top boundary, and if not a nested domain in a
	357	!-- normal nesting run. In case of vertical nesting, this must be done.
	358	!-- Therefore an auxiliary logical variable nest_domain_nvn is used here, and
	359	!-- nvn stands for non-vertical nesting.
[1918]	360	!-- This cannot be done before the first initial time step because ngp_2dh_outer
	361	!-- is not yet known then.
[1933]	362	nest_domain_nvn = nest_domain
	363	IF ( nest_domain .AND. nesting_mode == 'vertical' ) THEN
	364	nest_domain_nvn = .FALSE.
	365	ENDIF
	366
	367	IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 .AND. &
	368	.NOT. nest_domain_nvn .AND. intermediate_timestep_count /= 0 ) &
[1918]	369	THEN
	370	w_l = 0.0_wp; w_l_l = 0.0_wp
	371	DO i = nxl, nxr
	372	DO j = nys, nyn
[2232]	373	DO k = nzb+1, nzt
	374	w_l_l(k) = w_l_l(k) + w(k,j,i) &
	375	* MERGE( 1.0_wp, 0.0_wp, &
	376	BTEST( wall_flags_0(k,j,i), 3 ) &
	377	)
[76]	378	ENDDO
	379	ENDDO
[1918]	380	ENDDO
[76]	381	#if defined( __parallel )
[1918]	382	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	383	CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, &
	384	comm2d, ierr )
[76]	385	#else
[1918]	386	w_l = w_l_l
[76]	387	#endif
[1918]	388	DO k = 1, nzt
	389	w_l(k) = w_l(k) / ngp_2dh_outer(k,0)
	390	ENDDO
	391	DO i = nxlg, nxrg
	392	DO j = nysg, nyng
[2232]	393	DO k = nzb+1, nzt
	394	w(k,j,i) = w(k,j,i) - w_l(k) &
	395	* MERGE( 1.0_wp, 0.0_wp, &
	396	BTEST( wall_flags_0(k,j,i), 3 ) &
	397	)
[76]	398	ENDDO
	399	ENDDO
[1918]	400	ENDDO
[76]	401	ENDIF
[75]	402
	403	!
[1]	404	!-- Compute the divergence of the provisional velocity field.
	405	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	406
[1575]	407	IF ( psolver(1:9) == 'multigrid' ) THEN
[2232]	408	!$OMP PARALLEL DO SCHEDULE( STATIC ) PRIVATE (i,j,k)
[1]	409	DO i = nxl-1, nxr+1
	410	DO j = nys-1, nyn+1
	411	DO k = nzb, nzt+1
[1342]	412	d(k,j,i) = 0.0_wp
[1]	413	ENDDO
	414	ENDDO
	415	ENDDO
	416	ELSE
[2232]	417	!$OMP PARALLEL DO SCHEDULE( STATIC ) PRIVATE (i,j,k)
[1003]	418	DO i = nxl, nxr
	419	DO j = nys, nyn
	420	DO k = nzb+1, nzt
[1342]	421	d(k,j,i) = 0.0_wp
[1]	422	ENDDO
	423	ENDDO
	424	ENDDO
	425	ENDIF
	426
[1342]	427	localsum = 0.0_wp
	428	threadsum = 0.0_wp
[1]	429
	430	#if defined( __ibm )
	431	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	432	!$OMP DO SCHEDULE( STATIC )
	433	DO i = nxl, nxr
	434	DO j = nys, nyn
[2232]	435	DO k = nzb+1, nzt
[2037]	436	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * rho_air(k) * ddx + &
	437	( v(k,j+1,i) - v(k,j,i) ) * rho_air(k) * ddy + &
	438	( w(k,j,i) * rho_air_zw(k) - &
	439	w(k-1,j,i) * rho_air_zw(k-1) ) * ddzw(k) &
[2232]	440	) * ddt_3d * d_weight_pres &
	441	* MERGE( 1.0_wp, 0.0_wp, &
	442	BTEST( wall_flags_0(k,j,i), 0 ) &
	443	)
[1]	444	ENDDO
	445	!
	446	!-- Compute possible PE-sum of divergences for flow_statistics
[2232]	447	DO k = nzb+1, nzt
	448	threadsum = threadsum + ABS( d(k,j,i) ) &
	449	* MERGE( 1.0_wp, 0.0_wp, &
	450	BTEST( wall_flags_0(k,j,i), 0 ) &
	451	)
[1]	452	ENDDO
	453
	454	ENDDO
	455	ENDDO
	456
[1918]	457	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	458	intermediate_timestep_count == 0 ) THEN
	459	localsum = localsum + threadsum * dt_3d * weight_pres_l
[1908]	460	ENDIF
[1]	461	!$OMP END PARALLEL
	462	#else
	463
[1111]	464	!$OMP PARALLEL PRIVATE (i,j,k)
	465	!$OMP DO SCHEDULE( STATIC )
	466	DO i = nxl, nxr
	467	DO j = nys, nyn
	468	DO k = 1, nzt
[2037]	469	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * rho_air(k) * ddx + &
	470	( v(k,j+1,i) - v(k,j,i) ) * rho_air(k) * ddy + &
	471	( w(k,j,i) * rho_air_zw(k) - &
	472	w(k-1,j,i) * rho_air_zw(k-1) ) * ddzw(k) &
[2232]	473	) * ddt_3d * d_weight_pres &
	474	* MERGE( 1.0_wp, 0.0_wp, &
	475	BTEST( wall_flags_0(k,j,i), 0 ) &
	476	)
[1]	477	ENDDO
	478	ENDDO
[1111]	479	ENDDO
	480	!$OMP END PARALLEL
[1]	481
	482	!
[1908]	483	!-- Compute possible PE-sum of divergences for flow_statistics. Carry out
	484	!-- computation only at last Runge-Kutta substep.
[1918]	485	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	486	intermediate_timestep_count == 0 ) THEN
[1908]	487	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	488	!$OMP DO SCHEDULE( STATIC )
	489	DO i = nxl, nxr
	490	DO j = nys, nyn
	491	DO k = nzb+1, nzt
	492	threadsum = threadsum + ABS( d(k,j,i) )
	493	ENDDO
[1]	494	ENDDO
	495	ENDDO
[1918]	496	localsum = localsum + threadsum * dt_3d * weight_pres_l
[1908]	497	!$OMP END PARALLEL
	498	ENDIF
[1]	499	#endif
	500
	501	!
	502	!-- For completeness, set the divergence sum of all statistic regions to those
	503	!-- of the total domain
[1918]	504	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	505	intermediate_timestep_count == 0 ) THEN
[1908]	506	sums_divold_l(0:statistic_regions) = localsum
[1918]	507	ENDIF
[1]	508
	509	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
	510
	511	!
	512	!-- Compute the pressure perturbation solving the Poisson equation
[1575]	513	IF ( psolver == 'poisfft' ) THEN
[1]	514
	515	!
	516	!-- Solve Poisson equation via FFT and solution of tridiagonal matrices
[1575]	517	CALL poisfft( d )
[1212]	518
[1]	519	!
	520	!-- Store computed perturbation pressure and set boundary condition in
	521	!-- z-direction
[2232]	522	!$OMP PARALLEL DO PRIVATE (i,j,k)
[1]	523	DO i = nxl, nxr
	524	DO j = nys, nyn
	525	DO k = nzb+1, nzt
	526	tend(k,j,i) = d(k,j,i)
	527	ENDDO
	528	ENDDO
	529	ENDDO
	530
	531	!
	532	!-- Bottom boundary:
	533	!-- This condition is only required for internal output. The pressure
	534	!-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else.
	535	IF ( ibc_p_b == 1 ) THEN
	536	!
[2232]	537	!-- Neumann (dp/dz = 0). Using surfae data type, first for non-natural
	538	!-- surfaces, then for natural and urban surfaces
	539	!-- Upward facing
	540	!$OMP PARALLEL DO PRIVATE( i, j, k )
	541	DO m = 1, bc_h(0)%ns
[2298]	542	i = bc_h(0)%i(m)
	543	j = bc_h(0)%j(m)
	544	k = bc_h(0)%k(m)
[2232]	545	tend(k-1,j,i) = tend(k,j,i)
[1]	546	ENDDO
[2232]	547	!
	548	!-- Downward facing
	549	!$OMP PARALLEL DO PRIVATE( i, j, k )
	550	DO m = 1, bc_h(1)%ns
[2298]	551	i = bc_h(1)%i(m)
	552	j = bc_h(1)%j(m)
	553	k = bc_h(1)%k(m)
[2232]	554	tend(k+1,j,i) = tend(k,j,i)
	555	ENDDO
[1]	556
	557	ELSE
	558	!
[2232]	559	!-- Dirichlet. Using surface data type, first for non-natural
	560	!-- surfaces, then for natural and urban surfaces
	561	!-- Upward facing
	562	!$OMP PARALLEL DO PRIVATE( i, j, k )
	563	DO m = 1, bc_h(0)%ns
[2298]	564	i = bc_h(0)%i(m)
	565	j = bc_h(0)%j(m)
	566	k = bc_h(0)%k(m)
[2232]	567	tend(k-1,j,i) = 0.0_wp
[1]	568	ENDDO
[2232]	569	!
	570	!-- Downward facing
	571	!$OMP PARALLEL DO PRIVATE( i, j, k )
	572	DO m = 1, bc_h(1)%ns
[2298]	573	i = bc_h(1)%i(m)
	574	j = bc_h(1)%j(m)
	575	k = bc_h(1)%k(m)
[2232]	576	tend(k+1,j,i) = 0.0_wp
	577	ENDDO
[1]	578
	579	ENDIF
	580
	581	!
	582	!-- Top boundary
	583	IF ( ibc_p_t == 1 ) THEN
	584	!
	585	!-- Neumann
[2232]	586	!$OMP PARALLEL DO PRIVATE (i,j,k)
[667]	587	DO i = nxlg, nxrg
	588	DO j = nysg, nyng
[1]	589	tend(nzt+1,j,i) = tend(nzt,j,i)
	590	ENDDO
	591	ENDDO
	592
	593	ELSE
	594	!
	595	!-- Dirichlet
[2232]	596	!$OMP PARALLEL DO PRIVATE (i,j,k)
[667]	597	DO i = nxlg, nxrg
	598	DO j = nysg, nyng
[1342]	599	tend(nzt+1,j,i) = 0.0_wp
[1]	600	ENDDO
	601	ENDDO
	602
	603	ENDIF
	604
	605	!
	606	!-- Exchange boundaries for p
[667]	607	CALL exchange_horiz( tend, nbgp )
[1]	608
	609	ELSEIF ( psolver == 'sor' ) THEN
	610
	611	!
	612	!-- Solve Poisson equation for perturbation pressure using SOR-Red/Black
	613	!-- scheme
[707]	614	CALL sor( d, ddzu_pres, ddzw, p_loc )
	615	tend = p_loc
[1]	616
[1575]	617	ELSEIF ( psolver(1:9) == 'multigrid' ) THEN
[1]	618
	619	!
	620	!-- Solve Poisson equation for perturbation pressure using Multigrid scheme,
[2298]	621	!-- array tend is used to store the residuals.
[778]	622
	623	!-- If the number of grid points of the gathered grid, which is collected
	624	!-- on PE0, is larger than the number of grid points of an PE, than array
	625	!-- tend will be enlarged.
	626	IF ( gathered_size > subdomain_size ) THEN
	627	DEALLOCATE( tend )
	628	ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( &
	629	mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,&
	630	nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( &
	631	mg_switch_to_pe0_level)+1) )
	632	ENDIF
	633
[1575]	634	IF ( psolver == 'multigrid' ) THEN
	635	CALL poismg( tend )
	636	ELSE
[1931]	637	CALL poismg_noopt( tend )
[1575]	638	ENDIF
[707]	639
[778]	640	IF ( gathered_size > subdomain_size ) THEN
	641	DEALLOCATE( tend )
	642	ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	643	ENDIF
	644
[1]	645	!
	646	!-- Restore perturbation pressure on tend because this array is used
	647	!-- further below to correct the velocity fields
[707]	648	DO i = nxl-1, nxr+1
	649	DO j = nys-1, nyn+1
	650	DO k = nzb, nzt+1
	651	tend(k,j,i) = p_loc(k,j,i)
	652	ENDDO
	653	ENDDO
	654	ENDDO
[667]	655
[1]	656	ENDIF
	657
	658	!
[707]	659	!-- Store perturbation pressure on array p, used for pressure data output.
	660	!-- Ghost layers are added in the output routines (except sor-method: see below)
[1918]	661	IF ( intermediate_timestep_count <= 1 ) THEN
[707]	662	!$OMP PARALLEL PRIVATE (i,j,k)
	663	!$OMP DO
	664	DO i = nxl-1, nxr+1
	665	DO j = nys-1, nyn+1
	666	DO k = nzb, nzt+1
	667	p(k,j,i) = tend(k,j,i) * &
[1929]	668	weight_substep_l
[673]	669	ENDDO
[1]	670	ENDDO
[707]	671	ENDDO
	672	!$OMP END PARALLEL
	673
[1762]	674	ELSEIF ( intermediate_timestep_count > 1 ) THEN
[707]	675	!$OMP PARALLEL PRIVATE (i,j,k)
	676	!$OMP DO
	677	DO i = nxl-1, nxr+1
	678	DO j = nys-1, nyn+1
	679	DO k = nzb, nzt+1
	680	p(k,j,i) = p(k,j,i) + tend(k,j,i) * &
[1929]	681	weight_substep_l
[673]	682	ENDDO
	683	ENDDO
[707]	684	ENDDO
	685	!$OMP END PARALLEL
	686
	687	ENDIF
[673]	688
[707]	689	!
	690	!-- SOR-method needs ghost layers for the next timestep
	691	IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp )
[682]	692
[1]	693	!
	694	!-- Correction of the provisional velocities with the current perturbation
	695	!-- pressure just computed
[709]	696	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN
[1342]	697	volume_flow_l(1) = 0.0_wp
	698	volume_flow_l(2) = 0.0_wp
[1]	699	ENDIF
[707]	700
[1]	701	!$OMP PARALLEL PRIVATE (i,j,k)
	702	!$OMP DO
[673]	703	DO i = nxl, nxr
[1]	704	DO j = nys, nyn
[2118]	705
[2232]	706	DO k = nzb+1, nzt
	707	w(k,j,i) = w(k,j,i) - dt_3d * &
	708	( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) &
	709	* weight_pres_l &
	710	* MERGE( 1.0_wp, 0.0_wp, &
	711	BTEST( wall_flags_0(k,j,i), 3 ) &
	712	)
[1]	713	ENDDO
[2118]	714
[2232]	715	DO k = nzb+1, nzt
	716	u(k,j,i) = u(k,j,i) - dt_3d * &
	717	( tend(k,j,i) - tend(k,j,i-1) ) * ddx &
	718	* weight_pres_l &
	719	* MERGE( 1.0_wp, 0.0_wp, &
	720	BTEST( wall_flags_0(k,j,i), 1 ) &
	721	)
[1]	722	ENDDO
[2118]	723
[2232]	724	DO k = nzb+1, nzt
	725	v(k,j,i) = v(k,j,i) - dt_3d * &
	726	( tend(k,j,i) - tend(k,j-1,i) ) * ddy &
	727	* weight_pres_l &
	728	* MERGE( 1.0_wp, 0.0_wp, &
	729	BTEST( wall_flags_0(k,j,i), 2 ) &
	730	)
[673]	731	ENDDO
[1]	732
	733	ENDDO
	734	ENDDO
	735	!$OMP END PARALLEL
[1113]	736
	737	!
	738	!-- Sum up the volume flow through the right and north boundary
[2232]	739	IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. &
[1113]	740	nxr == nx ) THEN
	741
	742	!$OMP PARALLEL PRIVATE (j,k)
	743	!$OMP DO
	744	DO j = nys, nyn
	745	!$OMP CRITICAL
[2232]	746	DO k = nzb+1, nzt
	747	volume_flow_l(1) = volume_flow_l(1) + u(k,j,nxr) * dzw(k) &
	748	* MERGE( 1.0_wp, 0.0_wp, &
	749	BTEST( wall_flags_0(k,j,nxr), 1 )&
	750	)
[1113]	751	ENDDO
	752	!$OMP END CRITICAL
	753	ENDDO
	754	!$OMP END PARALLEL
	755
	756	ENDIF
	757
[2232]	758	IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. &
[1113]	759	nyn == ny ) THEN
	760
	761	!$OMP PARALLEL PRIVATE (i,k)
	762	!$OMP DO
	763	DO i = nxl, nxr
	764	!$OMP CRITICAL
[2232]	765	DO k = nzb+1, nzt
	766	volume_flow_l(2) = volume_flow_l(2) + v(k,nyn,i) * dzw(k) &
	767	* MERGE( 1.0_wp, 0.0_wp, &
	768	BTEST( wall_flags_0(k,nyn,i), 2 )&
	769	)
[1113]	770	ENDDO
	771	!$OMP END CRITICAL
	772	ENDDO
	773	!$OMP END PARALLEL
	774
	775	ENDIF
[673]	776
[1]	777	!
	778	!-- Conserve the volume flow
[707]	779	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN
[1]	780
	781	#if defined( __parallel )
[622]	782	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	783	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, &
	784	MPI_SUM, comm2d, ierr )
	785	#else
	786	volume_flow = volume_flow_l
	787	#endif
	788
[1799]	789	volume_flow_offset(1:2) = ( volume_flow_initial(1:2) - volume_flow(1:2) ) / &
	790	volume_flow_area(1:2)
[1]	791
	792	!$OMP PARALLEL PRIVATE (i,j,k)
	793	!$OMP DO
	794	DO i = nxl, nxr
	795	DO j = nys, nyn
[2232]	796	DO k = nzb+1, nzt
	797	u(k,j,i) = u(k,j,i) + volume_flow_offset(1) &
	798	* MERGE( 1.0_wp, 0.0_wp, &
	799	BTEST( wall_flags_0(k,j,i), 1 ) &
	800	)
[719]	801	ENDDO
[2232]	802	DO k = nzb+1, nzt
	803	v(k,j,i) = v(k,j,i) + volume_flow_offset(2) &
	804	* MERGE( 1.0_wp, 0.0_wp, &
	805	BTEST( wall_flags_0(k,j,i), 2 ) &
	806	)
[667]	807	ENDDO
[1]	808	ENDDO
	809	ENDDO
[667]	810
[1]	811	!$OMP END PARALLEL
	812
	813	ENDIF
	814
	815	!
	816	!-- Exchange of boundaries for the velocities
[667]	817	CALL exchange_horiz( u, nbgp )
	818	CALL exchange_horiz( v, nbgp )
	819	CALL exchange_horiz( w, nbgp )
[1]	820
	821	!
	822	!-- Compute the divergence of the corrected velocity field,
[1908]	823	!-- A possible PE-sum is computed in flow_statistics. Carry out computation
	824	!-- only at last Runge-Kutta step.
[1918]	825	IF ( intermediate_timestep_count == intermediate_timestep_count_max .OR. &
	826	intermediate_timestep_count == 0 ) THEN
[1908]	827	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	828	sums_divnew_l = 0.0_wp
[1]	829
	830	!
[1908]	831	!-- d must be reset to zero because it can contain nonzero values below the
	832	!-- topography
	833	IF ( topography /= 'flat' ) d = 0.0_wp
[1]	834
[1908]	835	localsum = 0.0_wp
	836	threadsum = 0.0_wp
[1]	837
[1908]	838	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
[2073]	839	#if defined( __ibm )
[1908]	840	!$OMP DO SCHEDULE( STATIC )
	841	DO i = nxl, nxr
	842	DO j = nys, nyn
[2232]	843	DO k = nzb+1, nzt
	844	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * rho_air(k) * ddx + &
	845	( v(k,j+1,i) - v(k,j,i) ) * rho_air(k) * ddy + &
	846	( w(k,j,i) * rho_air_zw(k) - &
	847	w(k-1,j,i) * rho_air_zw(k-1) ) * ddzw(k) &
	848	) * MERGE( 1.0_wp, 0.0_wp, &
	849	BTEST( wall_flags_0(k,j,i), 0 ) &
	850	)
[1908]	851	ENDDO
	852	DO k = nzb+1, nzt
	853	threadsum = threadsum + ABS( d(k,j,i) )
	854	ENDDO
[1]	855	ENDDO
	856	ENDDO
	857	#else
[2073]	858	!$OMP DO SCHEDULE( STATIC )
[1908]	859	DO i = nxl, nxr
	860	DO j = nys, nyn
[2232]	861	DO k = nzb+1, nzt
[2037]	862	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * rho_air(k) * ddx + &
	863	( v(k,j+1,i) - v(k,j,i) ) * rho_air(k) * ddy + &
	864	( w(k,j,i) * rho_air_zw(k) - &
	865	w(k-1,j,i) * rho_air_zw(k-1) ) * ddzw(k) &
[2232]	866	) * MERGE( 1.0_wp, 0.0_wp, &
	867	BTEST( wall_flags_0(k,j,i), 0 ) &
	868	)
[1908]	869	ENDDO
[1113]	870	ENDDO
	871	ENDDO
	872	!
[1908]	873	!-- Compute possible PE-sum of divergences for flow_statistics
[2073]	874	!$OMP DO SCHEDULE( STATIC )
[1908]	875	DO i = nxl, nxr
	876	DO j = nys, nyn
	877	DO k = nzb+1, nzt
	878	threadsum = threadsum + ABS( d(k,j,i) )
	879	ENDDO
[1]	880	ENDDO
	881	ENDDO
	882	#endif
[667]	883
[1908]	884	localsum = localsum + threadsum
	885	!$OMP END PARALLEL
[1]	886
	887	!
[1908]	888	!-- For completeness, set the divergence sum of all statistic regions to those
	889	!-- of the total domain
	890	sums_divnew_l(0:statistic_regions) = localsum
[1]	891
[1908]	892	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
[1]	893
[1908]	894	ENDIF
	895
[1]	896	CALL cpu_log( log_point(8), 'pres', 'stop' )
	897
	898
	899	END SUBROUTINE pres

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