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source: palm/trunk/SOURCE/pres.f90 @ 1041

Last change on this file since 1041 was 1037, checked in by raasch, 12 years ago
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[1]	1	SUBROUTINE pres
	2
[1036]	3	!--------------------------------------------------------------------------------!
	4	! This file is part of PALM.
	5	!
	6	! PALM is free software: you can redistribute it and/or modify it under the terms
	7	! of the GNU General Public License as published by the Free Software Foundation,
	8	! either version 3 of the License, or (at your option) any later version.
	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	!
	17	! Copyright 1997-2012 Leibniz University Hannover
	18	!--------------------------------------------------------------------------------!
	19	!
[484]	20	! Current revisions:
[1]	21	! -----------------
[708]	22	!
[1004]	23	!
[708]	24	! Former revisions:
	25	! -----------------
	26	! $Id: pres.f90 1037 2012-10-22 14:10:22Z raasch $
	27	!
[1037]	28	! 1036 2012-10-22 13:43:42Z raasch
	29	! code put under GPL (PALM 3.9)
	30	!
[1004]	31	! 1003 2012-09-14 14:35:53Z raasch
	32	! adjustment of array tend for cases with unequal subdomain sizes removed
	33	!
[779]	34	! 778 2011-11-07 14:18:25Z fricke
	35	! New allocation of tend when multigrid is used and the collected field on PE0
	36	! has more grid points than the subdomain of an PE.
	37	!
[720]	38	! 719 2011-04-06 13:05:23Z gryschka
	39	! Bugfix in volume flow control for double cyclic boundary conditions
	40	!
[710]	41	! 709 2011-03-30 09:31:40Z raasch
	42	! formatting adjustments
	43	!
[708]	44	! 707 2011-03-29 11:39:40Z raasch
[707]	45	! Calculation of weighted average of p is now handled in the same way
	46	! regardless of the number of ghost layers (advection scheme),
	47	! multigrid and sor method are using p_loc for iterative advancements of
	48	! pressure,
	49	! localsum calculation modified for proper OpenMP reduction,
	50	! bc_lr/ns replaced by bc_lr/ns_cyc
[674]	51	!
[694]	52	! 693 2011-03-08 09:..:..Z raasch
[695]	53	! bugfix: weighting coefficient added to ibm branch
[694]	54	!
	55	! 680 2011-02-04 23:16:06Z gryschka
[681]	56	! bugfix: collective_wait
[668]	57	!
[676]	58	! 675 2011-01-19 10:56:55Z suehring
	59	! Removed bugfix while copying tend.
	60	!
[674]	61	! 673 2011-01-18 16:19:48Z suehring
	62	! Weighting coefficients added for right computation of the pressure during
	63	! Runge-Kutta substeps.
	64	!
[668]	65	! 667 2010-12-23 12:06:00Z suehring/gryschka
[667]	66	! New allocation of tend when ws-scheme and multigrid is used. This is due to
	67	! reasons of perforance of the data_exchange. The same is done with p after
	68	! poismg is called.
	69	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng when no
	70	! multigrid is used. Calls of exchange_horiz are modified.
	71	! bugfix: After pressure correction no volume flow correction in case of
	72	! non-cyclic boundary conditions
	73	! (has to be done only before pressure correction)
	74	! Call of SOR routine is referenced with ddzu_pres.
	75	!
[623]	76	! 622 2010-12-10 08:08:13Z raasch
	77	! optional barriers included in order to speed up collective operations
	78	!
[198]	79	! 151 2008-03-07 13:42:18Z raasch
	80	! Bugfix in volume flow control for non-cyclic boundary conditions
	81	!
[110]	82	! 106 2007-08-16 14:30:26Z raasch
	83	! Volume flow conservation added for the remaining three outflow boundaries
	84	!
[90]	85	! 85 2007-05-11 09:35:14Z raasch
	86	! Division through dt_3d replaced by multiplication of the inverse.
	87	! For performance optimisation, this is done in the loop calculating the
	88	! divergence instead of using a seperate loop.
	89	!
[77]	90	! 75 2007-03-22 09:54:05Z raasch
[75]	91	! Volume flow control for non-cyclic boundary conditions added (currently only
[76]	92	! for the north boundary!!), 2nd+3rd argument removed from exchange horiz,
	93	! mean vertical velocity is removed in case of Neumann boundary conditions
	94	! both at the bottom and the top
[1]	95	!
[3]	96	! RCS Log replace by Id keyword, revision history cleaned up
	97	!
[1]	98	! Revision 1.25 2006/04/26 13:26:12 raasch
	99	! OpenMP optimization (+localsum, threadsum)
	100	!
	101	! Revision 1.1 1997/07/24 11:24:44 raasch
	102	! Initial revision
	103	!
	104	!
	105	! Description:
	106	! ------------
	107	! Compute the divergence of the provisional velocity field. Solve the Poisson
	108	! equation for the perturbation pressure. Compute the final velocities using
	109	! this perturbation pressure. Compute the remaining divergence.
	110	!------------------------------------------------------------------------------!
	111
	112	USE arrays_3d
	113	USE constants
	114	USE control_parameters
	115	USE cpulog
	116	USE grid_variables
	117	USE indices
	118	USE interfaces
	119	USE pegrid
	120	USE poisfft_mod
	121	USE poisfft_hybrid_mod
	122	USE statistics
	123
	124	IMPLICIT NONE
	125
	126	INTEGER :: i, j, k, sr
	127
[673]	128	REAL :: ddt_3d, localsum, threadsum, d_weight_pres
[1]	129
	130	REAL, DIMENSION(1:2) :: volume_flow_l, volume_flow_offset
[76]	131	REAL, DIMENSION(1:nzt) :: w_l, w_l_l
[1]	132
	133
	134	CALL cpu_log( log_point(8), 'pres', 'start' )
	135
[85]	136
	137	ddt_3d = 1.0 / dt_3d
[709]	138	d_weight_pres = 1.0 / weight_pres(intermediate_timestep_count)
[85]	139
[1]	140	!
[707]	141	!-- Multigrid method expects array d to have one ghost layer.
	142	!--
[1]	143	IF ( psolver == 'multigrid' ) THEN
[667]	144
[1]	145	DEALLOCATE( d )
[667]	146	ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
[707]	147
	148	!
	149	!-- Since p is later used to hold the weighted average of the substeps, it
	150	!-- cannot be used in the iterative solver. Therefore, its initial value is
	151	!-- stored on p_loc, which is then iteratively advanced in every substep.
	152	IF ( intermediate_timestep_count == 1 ) THEN
	153	DO i = nxl-1, nxr+1
	154	DO j = nys-1, nyn+1
	155	DO k = nzb, nzt+1
	156	p_loc(k,j,i) = p(k,j,i)
	157	ENDDO
	158	ENDDO
	159	ENDDO
[667]	160	ENDIF
	161
[707]	162	ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count == 1 ) THEN
	163
	164	!
	165	!-- Since p is later used to hold the weighted average of the substeps, it
	166	!-- cannot be used in the iterative solver. Therefore, its initial value is
	167	!-- stored on p_loc, which is then iteratively advanced in every substep.
	168	p_loc = p
	169
[1]	170	ENDIF
	171
	172	!
[75]	173	!-- Conserve the volume flow at the outflow in case of non-cyclic lateral
	174	!-- boundary conditions
[106]	175	!-- WARNING: so far, this conservation does not work at the left/south
	176	!-- boundary if the topography at the inflow differs from that at the
	177	!-- outflow! For this case, volume_flow_area needs adjustment!
	178	!
	179	!-- Left/right
[709]	180	IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN
[680]	181
[106]	182	volume_flow(1) = 0.0
	183	volume_flow_l(1) = 0.0
	184
	185	IF ( outflow_l ) THEN
	186	i = 0
	187	ELSEIF ( outflow_r ) THEN
	188	i = nx+1
	189	ENDIF
	190
	191	DO j = nys, nyn
	192	!
	193	!-- Sum up the volume flow through the south/north boundary
[709]	194	DO k = nzb_2d(j,i)+1, nzt
[667]	195	volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k)
[106]	196	ENDDO
	197	ENDDO
	198
	199	#if defined( __parallel )
[680]	200	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
[106]	201	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, &
	202	MPI_SUM, comm1dy, ierr )
	203	#else
	204	volume_flow = volume_flow_l
	205	#endif
[709]	206	volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) &
[106]	207	/ volume_flow_area(1)
	208
[667]	209	DO j = nysg, nyng
[709]	210	DO k = nzb_2d(j,i)+1, nzt
[106]	211	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
	212	ENDDO
	213	ENDDO
	214
	215	ENDIF
	216
	217	!
	218	!-- South/north
[709]	219	IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN
[106]	220
[75]	221	volume_flow(2) = 0.0
	222	volume_flow_l(2) = 0.0
	223
[106]	224	IF ( outflow_s ) THEN
	225	j = 0
	226	ELSEIF ( outflow_n ) THEN
[75]	227	j = ny+1
[106]	228	ENDIF
	229
	230	DO i = nxl, nxr
[75]	231	!
[106]	232	!-- Sum up the volume flow through the south/north boundary
[709]	233	DO k = nzb_2d(j,i)+1, nzt
[667]	234	volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k)
[75]	235	ENDDO
[106]	236	ENDDO
	237
[75]	238	#if defined( __parallel )
[680]	239	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
[75]	240	CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, &
	241	MPI_SUM, comm1dx, ierr )
	242	#else
	243	volume_flow = volume_flow_l
	244	#endif
	245	volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) &
[106]	246	/ volume_flow_area(2)
[75]	247
[667]	248	DO i = nxlg, nxrg
[709]	249	DO k = nzb_v_inner(j,i)+1, nzt
[106]	250	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
[75]	251	ENDDO
[106]	252	ENDDO
[75]	253
	254	ENDIF
	255
[76]	256	!
	257	!-- Remove mean vertical velocity
	258	IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 ) THEN
[709]	259	IF ( simulated_time > 0.0 ) THEN ! otherwise nzb_w_inner not yet known
[76]	260	w_l = 0.0; w_l_l = 0.0
	261	DO i = nxl, nxr
	262	DO j = nys, nyn
	263	DO k = nzb_w_inner(j,i)+1, nzt
	264	w_l_l(k) = w_l_l(k) + w(k,j,i)
	265	ENDDO
	266	ENDDO
	267	ENDDO
	268	#if defined( __parallel )
[622]	269	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[709]	270	CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, &
	271	comm2d, ierr )
[76]	272	#else
	273	w_l = w_l_l
	274	#endif
	275	DO k = 1, nzt
	276	w_l(k) = w_l(k) / ngp_2dh_outer(k,0)
	277	ENDDO
[667]	278	DO i = nxlg, nxrg
	279	DO j = nysg, nyng
[76]	280	DO k = nzb_w_inner(j,i)+1, nzt
	281	w(k,j,i) = w(k,j,i) - w_l(k)
	282	ENDDO
	283	ENDDO
	284	ENDDO
	285	ENDIF
	286	ENDIF
[75]	287
	288	!
[1]	289	!-- Compute the divergence of the provisional velocity field.
	290	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	291
	292	IF ( psolver == 'multigrid' ) THEN
	293	!$OMP PARALLEL DO SCHEDULE( STATIC )
	294	DO i = nxl-1, nxr+1
	295	DO j = nys-1, nyn+1
	296	DO k = nzb, nzt+1
	297	d(k,j,i) = 0.0
	298	ENDDO
	299	ENDDO
	300	ENDDO
	301	ELSE
	302	!$OMP PARALLEL DO SCHEDULE( STATIC )
[1003]	303	DO i = nxl, nxr
	304	DO j = nys, nyn
	305	DO k = nzb+1, nzt
[1]	306	d(k,j,i) = 0.0
	307	ENDDO
	308	ENDDO
	309	ENDDO
	310	ENDIF
	311
	312	localsum = 0.0
	313	threadsum = 0.0
	314
	315	#if defined( __ibm )
	316	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	317	!$OMP DO SCHEDULE( STATIC )
	318	DO i = nxl, nxr
	319	DO j = nys, nyn
	320	DO k = nzb_s_inner(j,i)+1, nzt
[85]	321	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	322	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
[673]	323	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	324	* d_weight_pres
[1]	325	ENDDO
	326	!
	327	!-- Additional pressure boundary condition at the bottom boundary for
	328	!-- inhomogeneous Prandtl layer heat fluxes and temperatures, respectively
	329	!-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0.
	330	!-- This condition must not be applied at the start of a run, because then
	331	!-- flow_statistics has not yet been called and thus sums = 0.
	332	IF ( ibc_p_b == 2 .AND. sums(nzb+1,4) /= 0.0 ) THEN
	333	k = nzb_s_inner(j,i)
	334	d(k+1,j,i) = d(k+1,j,i) + ( &
	335	( usws(j,i+1) - usws(j,i) ) * ddx &
	336	+ ( vsws(j+1,i) - vsws(j,i) ) * ddy &
	337	- g * ( pt(k+1,j,i) - sums(k+1,4) ) / &
	338	sums(k+1,4) &
[673]	339	) * ddzw(k+1) * ddt_3d * d_weight_pres
[1]	340	ENDIF
	341
	342	!
	343	!-- Compute possible PE-sum of divergences for flow_statistics
	344	DO k = nzb_s_inner(j,i)+1, nzt
	345	threadsum = threadsum + ABS( d(k,j,i) )
	346	ENDDO
	347
	348	ENDDO
	349	ENDDO
	350
[707]	351	localsum = localsum + threadsum * dt_3d * &
	352	weight_pres(intermediate_timestep_count)
[693]	353
[1]	354	!$OMP END PARALLEL
	355	#else
	356	IF ( ibc_p_b == 2 .AND. sums(nzb+1,4) /= 0.0 ) THEN
	357	!$OMP PARALLEL PRIVATE (i,j,k)
	358	!$OMP DO SCHEDULE( STATIC )
	359	DO i = nxl, nxr
	360	DO j = nys, nyn
	361	DO k = nzb_s_inner(j,i)+1, nzt
[667]	362	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	363	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
[673]	364	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	365	* d_weight_pres
[1]	366	ENDDO
	367	ENDDO
	368	!
	369	!-- Additional pressure boundary condition at the bottom boundary for
	370	!-- inhomogeneous Prandtl layer heat fluxes and temperatures, respectively
	371	!-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0.
	372	!-- This condition must not be applied at the start of a run, because then
	373	!-- flow_statistics has not yet been called and thus sums = 0.
	374	DO j = nys, nyn
	375	k = nzb_s_inner(j,i)
	376	d(k+1,j,i) = d(k+1,j,i) + ( &
	377	( usws(j,i+1) - usws(j,i) ) * ddx &
	378	+ ( vsws(j+1,i) - vsws(j,i) ) * ddy &
	379	- g * ( pt(k+1,j,i) - sums(k+1,4) ) / &
	380	sums(k+1,4) &
[673]	381	) * ddzw(k+1) * ddt_3d &
	382	* d_weight_pres
[1]	383	ENDDO
	384	ENDDO
	385	!$OMP END PARALLEL
	386
	387	ELSE
	388
	389	!$OMP PARALLEL PRIVATE (i,j,k)
	390	!$OMP DO SCHEDULE( STATIC )
	391	DO i = nxl, nxr
	392	DO j = nys, nyn
	393	DO k = nzb_s_inner(j,i)+1, nzt
[85]	394	d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
[667]	395	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
[673]	396	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d &
	397	* d_weight_pres
[1]	398	ENDDO
	399	ENDDO
	400	ENDDO
	401	!$OMP END PARALLEL
	402
	403	ENDIF
	404
	405	!
	406	!-- Compute possible PE-sum of divergences for flow_statistics
	407	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	408	!$OMP DO SCHEDULE( STATIC )
	409	DO i = nxl, nxr
	410	DO j = nys, nyn
	411	DO k = nzb+1, nzt
	412	threadsum = threadsum + ABS( d(k,j,i) )
	413	ENDDO
	414	ENDDO
	415	ENDDO
[707]	416	localsum = localsum + threadsum * dt_3d * &
	417	weight_pres(intermediate_timestep_count)
[1]	418	!$OMP END PARALLEL
	419	#endif
	420
	421	!
	422	!-- For completeness, set the divergence sum of all statistic regions to those
	423	!-- of the total domain
	424	sums_divold_l(0:statistic_regions) = localsum
	425
	426	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
	427
	428	!
	429	!-- Compute the pressure perturbation solving the Poisson equation
	430	IF ( psolver(1:7) == 'poisfft' ) THEN
	431
	432	!
	433	!-- Solve Poisson equation via FFT and solution of tridiagonal matrices
	434	IF ( psolver == 'poisfft' ) THEN
	435	!
	436	!-- Solver for 2d-decomposition
	437	CALL poisfft( d, tend )
	438	ELSEIF ( psolver == 'poisfft_hybrid' ) THEN
	439	!
	440	!-- Solver for 1d-decomposition (using MPI and OpenMP).
	441	!-- The old hybrid-solver is still included here, as long as there
	442	!-- are some optimization problems in poisfft
	443	CALL poisfft_hybrid( d )
	444	ENDIF
	445
	446	!
	447	!-- Store computed perturbation pressure and set boundary condition in
	448	!-- z-direction
	449	!$OMP PARALLEL DO
	450	DO i = nxl, nxr
	451	DO j = nys, nyn
	452	DO k = nzb+1, nzt
	453	tend(k,j,i) = d(k,j,i)
	454	ENDDO
	455	ENDDO
	456	ENDDO
	457
	458	!
	459	!-- Bottom boundary:
	460	!-- This condition is only required for internal output. The pressure
	461	!-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else.
	462	IF ( ibc_p_b == 1 ) THEN
	463	!
	464	!-- Neumann (dp/dz = 0)
	465	!$OMP PARALLEL DO
[667]	466	DO i = nxlg, nxrg
	467	DO j = nysg, nyng
[1]	468	tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i)
	469	ENDDO
	470	ENDDO
	471
	472	ELSEIF ( ibc_p_b == 2 ) THEN
	473	!
	474	!-- Neumann condition for inhomogeneous surfaces,
	475	!-- here currently still in the form of a zero gradient. Actually
	476	!-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0 would have to be used for
	477	!-- the computation (cf. above: computation of divergences).
	478	!$OMP PARALLEL DO
[667]	479	DO i = nxlg, nxrg
	480	DO j = nysg, nyng
[1]	481	tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i)
	482	ENDDO
	483	ENDDO
	484
	485	ELSE
	486	!
	487	!-- Dirichlet
	488	!$OMP PARALLEL DO
[667]	489	DO i = nxlg, nxrg
	490	DO j = nysg, nyng
[1]	491	tend(nzb_s_inner(j,i),j,i) = 0.0
	492	ENDDO
	493	ENDDO
	494
	495	ENDIF
	496
	497	!
	498	!-- Top boundary
	499	IF ( ibc_p_t == 1 ) THEN
	500	!
	501	!-- Neumann
	502	!$OMP PARALLEL DO
[667]	503	DO i = nxlg, nxrg
	504	DO j = nysg, nyng
[1]	505	tend(nzt+1,j,i) = tend(nzt,j,i)
	506	ENDDO
	507	ENDDO
	508
	509	ELSE
	510	!
	511	!-- Dirichlet
	512	!$OMP PARALLEL DO
[667]	513	DO i = nxlg, nxrg
	514	DO j = nysg, nyng
[1]	515	tend(nzt+1,j,i) = 0.0
	516	ENDDO
	517	ENDDO
	518
	519	ENDIF
	520
	521	!
	522	!-- Exchange boundaries for p
[667]	523	CALL exchange_horiz( tend, nbgp )
[1]	524
	525	ELSEIF ( psolver == 'sor' ) THEN
	526
	527	!
	528	!-- Solve Poisson equation for perturbation pressure using SOR-Red/Black
	529	!-- scheme
[707]	530	CALL sor( d, ddzu_pres, ddzw, p_loc )
	531	tend = p_loc
[1]	532
	533	ELSEIF ( psolver == 'multigrid' ) THEN
	534
	535	!
	536	!-- Solve Poisson equation for perturbation pressure using Multigrid scheme,
[667]	537	!-- array tend is used to store the residuals, logical exchange_mg is used
	538	!-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid
	539	!-- ( nbgp ghost points ).
[778]	540
	541	!-- If the number of grid points of the gathered grid, which is collected
	542	!-- on PE0, is larger than the number of grid points of an PE, than array
	543	!-- tend will be enlarged.
	544	IF ( gathered_size > subdomain_size ) THEN
	545	DEALLOCATE( tend )
	546	ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( &
	547	mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,&
	548	nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( &
	549	mg_switch_to_pe0_level)+1) )
	550	ENDIF
	551
[1]	552	CALL poismg( tend )
[707]	553
[778]	554	IF ( gathered_size > subdomain_size ) THEN
	555	DEALLOCATE( tend )
	556	ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	557	ENDIF
	558
[1]	559	!
	560	!-- Restore perturbation pressure on tend because this array is used
	561	!-- further below to correct the velocity fields
[707]	562	DO i = nxl-1, nxr+1
	563	DO j = nys-1, nyn+1
	564	DO k = nzb, nzt+1
	565	tend(k,j,i) = p_loc(k,j,i)
	566	ENDDO
	567	ENDDO
	568	ENDDO
[667]	569
[1]	570	ENDIF
	571
	572	!
[707]	573	!-- Store perturbation pressure on array p, used for pressure data output.
	574	!-- Ghost layers are added in the output routines (except sor-method: see below)
	575	IF ( intermediate_timestep_count == 1 ) THEN
	576	!$OMP PARALLEL PRIVATE (i,j,k)
	577	!$OMP DO
	578	DO i = nxl-1, nxr+1
	579	DO j = nys-1, nyn+1
	580	DO k = nzb, nzt+1
	581	p(k,j,i) = tend(k,j,i) * &
	582	weight_substep(intermediate_timestep_count)
[673]	583	ENDDO
[1]	584	ENDDO
[707]	585	ENDDO
	586	!$OMP END PARALLEL
	587
	588	ELSE
	589	!$OMP PARALLEL PRIVATE (i,j,k)
	590	!$OMP DO
	591	DO i = nxl-1, nxr+1
	592	DO j = nys-1, nyn+1
	593	DO k = nzb, nzt+1
	594	p(k,j,i) = p(k,j,i) + tend(k,j,i) * &
	595	weight_substep(intermediate_timestep_count)
[673]	596	ENDDO
	597	ENDDO
[707]	598	ENDDO
	599	!$OMP END PARALLEL
	600
	601	ENDIF
[673]	602
[707]	603	!
	604	!-- SOR-method needs ghost layers for the next timestep
	605	IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp )
[682]	606
[1]	607	!
	608	!-- Correction of the provisional velocities with the current perturbation
	609	!-- pressure just computed
[709]	610	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN
[1]	611	volume_flow_l(1) = 0.0
	612	volume_flow_l(2) = 0.0
	613	ENDIF
[707]	614
[1]	615	!$OMP PARALLEL PRIVATE (i,j,k)
	616	!$OMP DO
[673]	617	DO i = nxl, nxr
[1]	618	DO j = nys, nyn
	619	DO k = nzb_w_inner(j,i)+1, nzt
[707]	620	w(k,j,i) = w(k,j,i) - dt_3d * &
	621	( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) * &
	622	weight_pres(intermediate_timestep_count)
[1]	623	ENDDO
	624	DO k = nzb_u_inner(j,i)+1, nzt
[673]	625	u(k,j,i) = u(k,j,i) - dt_3d * &
[707]	626	( tend(k,j,i) - tend(k,j,i-1) ) * ddx * &
	627	weight_pres(intermediate_timestep_count)
[1]	628	ENDDO
	629	DO k = nzb_v_inner(j,i)+1, nzt
[673]	630	v(k,j,i) = v(k,j,i) - dt_3d * &
[707]	631	( tend(k,j,i) - tend(k,j-1,i) ) * ddy * &
	632	weight_pres(intermediate_timestep_count)
[673]	633	ENDDO
[1]	634	!
	635	!-- Sum up the volume flow through the right and north boundary
[707]	636	IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. &
	637	i == nx ) THEN
[1]	638	!$OMP CRITICAL
	639	DO k = nzb_2d(j,i) + 1, nzt
[667]	640	volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k)
[1]	641	ENDDO
	642	!$OMP END CRITICAL
	643	ENDIF
[707]	644	IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. &
	645	j == ny ) THEN
[1]	646	!$OMP CRITICAL
	647	DO k = nzb_2d(j,i) + 1, nzt
[667]	648	volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k)
[1]	649	ENDDO
	650	!$OMP END CRITICAL
	651	ENDIF
	652
	653	ENDDO
	654	ENDDO
	655	!$OMP END PARALLEL
[673]	656
[1]	657	!
	658	!-- Conserve the volume flow
[707]	659	IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN
[1]	660
	661	#if defined( __parallel )
[622]	662	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	663	CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, &
	664	MPI_SUM, comm2d, ierr )
	665	#else
	666	volume_flow = volume_flow_l
	667	#endif
	668
	669	volume_flow_offset = ( volume_flow_initial - volume_flow ) / &
	670	volume_flow_area
	671
	672	!$OMP PARALLEL PRIVATE (i,j,k)
	673	!$OMP DO
	674	DO i = nxl, nxr
	675	DO j = nys, nyn
[667]	676	DO k = nzb_u_inner(j,i) + 1, nzt
	677	u(k,j,i) = u(k,j,i) + volume_flow_offset(1)
[719]	678	ENDDO
	679	DO k = nzb_v_inner(j,i) + 1, nzt
[667]	680	v(k,j,i) = v(k,j,i) + volume_flow_offset(2)
	681	ENDDO
[1]	682	ENDDO
	683	ENDDO
[667]	684
[1]	685	!$OMP END PARALLEL
	686
	687	ENDIF
	688
	689	!
	690	!-- Exchange of boundaries for the velocities
[667]	691	CALL exchange_horiz( u, nbgp )
	692	CALL exchange_horiz( v, nbgp )
	693	CALL exchange_horiz( w, nbgp )
[1]	694
	695	!
	696	!-- Compute the divergence of the corrected velocity field,
	697	!-- a possible PE-sum is computed in flow_statistics
	698	CALL cpu_log( log_point_s(1), 'divergence', 'start' )
	699	sums_divnew_l = 0.0
	700
	701	!
	702	!-- d must be reset to zero because it can contain nonzero values below the
	703	!-- topography
	704	IF ( topography /= 'flat' ) d = 0.0
	705
	706	localsum = 0.0
	707	threadsum = 0.0
	708
	709	!$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum)
	710	!$OMP DO SCHEDULE( STATIC )
	711	#if defined( __ibm )
	712	DO i = nxl, nxr
	713	DO j = nys, nyn
	714	DO k = nzb_s_inner(j,i)+1, nzt
	715	d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	716	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	717	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
	718	ENDDO
	719	DO k = nzb+1, nzt
	720	threadsum = threadsum + ABS( d(k,j,i) )
	721	ENDDO
	722	ENDDO
	723	ENDDO
	724	#else
	725	DO i = nxl, nxr
	726	DO j = nys, nyn
	727	DO k = nzb_s_inner(j,i)+1, nzt
	728	d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + &
	729	( v(k,j+1,i) - v(k,j,i) ) * ddy + &
	730	( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
	731	threadsum = threadsum + ABS( d(k,j,i) )
	732	ENDDO
	733	ENDDO
	734	ENDDO
	735	#endif
[667]	736
[1]	737	localsum = localsum + threadsum
	738	!$OMP END PARALLEL
	739
	740	!
	741	!-- For completeness, set the divergence sum of all statistic regions to those
	742	!-- of the total domain
	743	sums_divnew_l(0:statistic_regions) = localsum
	744
	745	CALL cpu_log( log_point_s(1), 'divergence', 'stop' )
	746
	747	CALL cpu_log( log_point(8), 'pres', 'stop' )
[667]	748
[1]	749
	750
	751	END SUBROUTINE pres

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