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source: palm/trunk/SOURCE/pres.f90 @ 1036

Last change on this file since 1036 was 1036, checked in by raasch, 12 years ago
code has been put under the GNU General Public License (v3)
Property svn:keywords set to `Id`
File size: 23.8 KB

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

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