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source: palm/trunk/SOURCE/poismg_noopt.f90 @ 2126

Last change on this file since 2126 was 2101, checked in by suehring, 8 years ago
last commit documented
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File size: 67.9 KB

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[1931]	1	!> @file poismg_noopt.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	!
[257]	20	! Current revisions:
[1]	21	! -----------------
[1354]	22	!
[2038]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: poismg_noopt.f90 2101 2017-01-05 16:42:31Z raasch $
	27	!
[2038]	28	! 2037 2016-10-26 11:15:40Z knoop
	29	! Anelastic approximation implemented
	30	!
[2022]	31	! 2021 2016-10-07 14:08:57Z suehring
	32	! Bugfix: restore nest_bound_(l/r/s/n) in case of mg_switch_to_pe0
	33	!
[2001]	34	! 2000 2016-08-20 18:09:15Z knoop
	35	! Forced header and separation lines into 80 columns
	36	!
[1935]	37	! 1934 2016-06-13 09:46:57Z hellstea
	38	! Rename subroutines and cpu-measure log points to indicate _noopt version
	39	!
[1763]	40	! 1762 2016-02-25 12:31:13Z hellstea
	41	! Introduction of nested domain feature
	42	!
[1683]	43	! 1682 2015-10-07 23:56:08Z knoop
	44	! Code annotations made doxygen readable
	45	!
[1354]	46	! 1353 2014-04-08 15:21:23Z heinze
	47	! REAL constants provided with KIND-attribute
	48	!
[1323]	49	! 1322 2014-03-20 16:38:49Z raasch
	50	! REAL constants defined as wp-kind
	51	!
[1321]	52	! 1320 2014-03-20 08:40:49Z raasch
[1320]	53	! ONLY-attribute added to USE-statements,
	54	! kind-parameters added to all INTEGER and REAL declaration statements,
	55	! kinds are defined in new module kinds,
	56	! old module precision_kind is removed,
	57	! revision history before 2012 removed,
	58	! comment fields (!:) to be used for variable explanations added to
	59	! all variable declaration statements
[708]	60	!
[1319]	61	! 1318 2014-03-17 13:35:16Z raasch
	62	! module interfaces removed
	63	!
[1160]	64	! 1159 2013-05-21 11:58:22Z fricke
	65	! bc_lr/ns_dirneu/neudir removed
	66	!
[1093]	67	! 1092 2013-02-02 11:24:22Z raasch
	68	! unused variables removed
	69	!
[1057]	70	! 1056 2012-11-16 15:28:04Z raasch
	71	! Bugfix: all ghost points have to be used for allocating p3
	72	! arrays p2, f2, and f2_l changed from allocatable to automatic
	73	!
[1037]	74	! 1036 2012-10-22 13:43:42Z raasch
	75	! code put under GPL (PALM 3.9)
	76	!
[997]	77	! 996 2012-09-07 10:41:47Z raasch
	78	! little reformatting
	79	!
[979]	80	! 978 2012-08-09 08:28:32Z fricke
	81	! bc_lr/ns_dirneu/neudir added
	82	!
[881]	83	! 880 2012-04-13 06:28:59Z raasch
	84	! Bugfix: preprocessor statements for parallel execution added
	85	!
[779]	86	! 778 2011-11-07 14:18:25Z fricke
	87	! Allocation of p3 changes when multigrid is used and the collected field on PE0
	88	! has more grid points than the subdomain of an PE.
	89	!
[708]	90	! 707 2011-03-29 11:39:40Z raasch
[707]	91	! p_loc is used instead of p in the main routine (poismg).
	92	! On coarse grid levels, gathered data are identically processed on all PEs
	93	! (before, on PE0 only), so that the subsequent scattering of data is not
	94	! neccessary any more.
	95	! bc_lr/ns replaced by bc_lr/ns_cyc/dirrad/raddir
	96	! Bugfix: bottom (nzb) and top (nzt+1) boundary conditions set in routines
	97	! resid and restrict. They were missed before which may have led to
	98	! unpredictable results.
[1]	99	!
[668]	100	! 667 2010-12-23 12:06:00Z suehring/gryschka
	101	! Calls of exchange_horiz are modified.
	102	!
[623]	103	! 622 2010-12-10 08:08:13Z raasch
	104	! optional barriers included in order to speed up collective operations
	105	!
[392]	106	! 257 2009-03-11 15:17:42Z heinze
	107	! Output of messages replaced by message handling routine.
	108	!
[198]	109	! 181 2008-07-30 07:07:47Z raasch
	110	! Bugfix: grid_level+1 has to be used in restrict for flags-array
	111	!
[139]	112	! 114 2007-10-10 00:03:15Z raasch
	113	! Boundary conditions at walls are implicitly set using flag arrays. Only
	114	! Neumann BC is allowed. Upper walls are still not realized.
	115	! Bottom and top BCs for array f_mg in restrict removed because boundary
	116	! values are not needed (right hand side of SOR iteration).
	117	!
[77]	118	! 75 2007-03-22 09:54:05Z raasch
	119	! 2nd+3rd argument removed from exchange horiz
	120	!
[3]	121	! RCS Log replace by Id keyword, revision history cleaned up
	122	!
[1]	123	! Revision 1.6 2005/03/26 20:55:54 raasch
	124	! Implementation of non-cyclic (Neumann) horizontal boundary conditions,
	125	! routine prolong simplified (one call of exchange_horiz spared)
	126	!
	127	! Revision 1.1 2001/07/20 13:10:51 raasch
	128	! Initial revision
	129	!
	130	!
	131	! Description:
	132	! ------------
[1682]	133	!> Solves the Poisson equation for the perturbation pressure with a multigrid
	134	!> V- or W-Cycle scheme.
	135	!>
	136	!> This multigrid method was originally developed for PALM by Joerg Uhlenbrock,
	137	!> September 2000 - July 2001.
	138	!>
	139	!> @attention Loop unrolling and cache optimization in SOR-Red/Black method
	140	!> still does not give the expected speedup!
	141	!>
	142	!> @todo Further work required.
[1]	143	!------------------------------------------------------------------------------!
[1931]	144	SUBROUTINE poismg_noopt( r )
[1682]	145
[1]	146
[1320]	147	USE arrays_3d, &
	148	ONLY: d, p_loc
	149
	150	USE control_parameters, &
	151	ONLY: gathered_size, grid_level, grid_level_count, &
	152	maximum_grid_level, message_string, mgcycles, mg_cycles, &
	153	mg_switch_to_pe0_level, residual_limit, subdomain_size
	154
	155	USE cpulog, &
	156	ONLY: cpu_log, log_point_s
	157
	158	USE indices, &
	159	ONLY: nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, nys, nysg, nys_mg, nyn, &
	160	nyng, nyn_mg, nzb, nzt, nzt_mg
	161
	162	USE kinds
	163
[1]	164	USE pegrid
	165
	166	IMPLICIT NONE
	167
[1682]	168	REAL(wp) :: maxerror !<
	169	REAL(wp) :: maximum_mgcycles !<
	170	REAL(wp) :: residual_norm !<
[1]	171
[1682]	172	REAL(wp), DIMENSION(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) :: r !<
[1]	173
[1682]	174	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: p3 !<
[1]	175
	176
[1931]	177	CALL cpu_log( log_point_s(29), 'poismg_noopt', 'start' )
[1]	178	!
	179	!-- Initialize arrays and variables used in this subroutine
	180
[879]	181	!-- If the number of grid points of the gathered grid, which is collected
	182	!-- on PE0, is larger than the number of grid points of an PE, than array
	183	!-- p3 will be enlarged.
[778]	184	IF ( gathered_size > subdomain_size ) THEN
[879]	185	ALLOCATE( p3(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( &
	186	mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,&
	187	nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( &
[778]	188	mg_switch_to_pe0_level)+1) )
	189	ELSE
[1056]	190	ALLOCATE ( p3(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[778]	191	ENDIF
[1056]	192
[1353]	193	p3 = 0.0_wp
[879]	194
[1]	195	!
[707]	196	!-- Ghost boundaries have to be added to divergence array.
	197	!-- Exchange routine needs to know the grid level!
	198	grid_level = maximum_grid_level
[667]	199	CALL exchange_horiz( d, 1)
[1]	200	d(nzb,:,:) = d(nzb+1,:,:)
	201
	202	!
	203	!-- Initiation of the multigrid scheme. Does n cycles until the
	204	!-- residual is smaller than the given limit. The accuracy of the solution
	205	!-- of the poisson equation will increase with the number of cycles.
	206	!-- If the number of cycles is preset by the user, this number will be
	207	!-- carried out regardless of the accuracy.
[707]	208	grid_level_count = 0
	209	mgcycles = 0
[1]	210	IF ( mg_cycles == -1 ) THEN
	211	maximum_mgcycles = 0
[1353]	212	residual_norm = 1.0_wp
[1]	213	ELSE
	214	maximum_mgcycles = mg_cycles
[1353]	215	residual_norm = 0.0_wp
[1]	216	ENDIF
	217
	218	DO WHILE ( residual_norm > residual_limit .OR. &
	219	mgcycles < maximum_mgcycles )
[778]	220
[1931]	221	CALL next_mg_level_noopt( d, p_loc, p3, r)
[1]	222
	223	!
	224	!-- Calculate the residual if the user has not preset the number of
	225	!-- cycles to be performed
	226	IF ( maximum_mgcycles == 0 ) THEN
[1931]	227	CALL resid_noopt( d, p_loc, r )
[1]	228	maxerror = SUM( r(nzb+1:nzt,nys:nyn,nxl:nxr)**2 )
[778]	229
[1]	230	#if defined( __parallel )
[622]	231	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[778]	232	CALL MPI_ALLREDUCE( maxerror, residual_norm, 1, MPI_REAL, MPI_SUM, &
[1]	233	comm2d, ierr)
	234	#else
[778]	235	residual_norm = maxerror
[1]	236	#endif
	237	residual_norm = SQRT( residual_norm )
	238	ENDIF
	239
	240	mgcycles = mgcycles + 1
	241
	242	!
	243	!-- If the user has not limited the number of cycles, stop the run in case
	244	!-- of insufficient convergence
	245	IF ( mgcycles > 1000 .AND. mg_cycles == -1 ) THEN
[257]	246	message_string = 'no sufficient convergence within 1000 cycles'
[1931]	247	CALL message( 'poismg_noopt', 'PA0283', 1, 2, 0, 6, 0 )
[1]	248	ENDIF
	249
	250	ENDDO
	251
	252	DEALLOCATE( p3 )
	253
[707]	254	!
	255	!-- Unset the grid level. Variable is used to determine the MPI datatypes for
	256	!-- ghost point exchange
	257	grid_level = 0
	258
[1931]	259	CALL cpu_log( log_point_s(29), 'poismg_noopt', 'stop' )
[1]	260
[1931]	261	END SUBROUTINE poismg_noopt
[1]	262
	263
	264	!------------------------------------------------------------------------------!
	265	! Description:
	266	! ------------
[1682]	267	!> Computes the residual of the perturbation pressure.
[1]	268	!------------------------------------------------------------------------------!
[1931]	269	SUBROUTINE resid_noopt( f_mg, p_mg, r )
[1]	270
[1682]	271
[1320]	272	USE arrays_3d, &
[2037]	273	ONLY: f1_mg, f2_mg, f3_mg, rho_air_mg
[1]	274
[1320]	275	USE control_parameters, &
	276	ONLY: bc_lr_cyc, bc_ns_cyc, grid_level, ibc_p_b, ibc_p_t, inflow_l, &
[1762]	277	inflow_n, inflow_r, inflow_s, nest_bound_l, nest_bound_n, &
	278	nest_bound_r, nest_bound_s, outflow_l, outflow_n, outflow_r, &
[1320]	279	outflow_s
	280
	281	USE grid_variables, &
	282	ONLY: ddx2_mg, ddy2_mg
	283
	284	USE indices, &
	285	ONLY: flags, wall_flags_1, wall_flags_2, wall_flags_3, wall_flags_4, &
	286	wall_flags_5, wall_flags_6, wall_flags_7, wall_flags_8, &
	287	wall_flags_9, wall_flags_10, nxl_mg, nxr_mg, nys_mg, nyn_mg, &
	288	nzb, nzt_mg
	289
	290	USE kinds
	291
[1]	292	IMPLICIT NONE
	293
[1320]	294	INTEGER(iwp) :: i
	295	INTEGER(iwp) :: j
	296	INTEGER(iwp) :: k
	297	INTEGER(iwp) :: l
[1]	298
[1320]	299	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
[1]	300	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	301	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f_mg !<
[1320]	302	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
	303	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	304	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: p_mg !<
[1320]	305	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
	306	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	307	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: r !<
[1]	308
	309	!
	310	!-- Calculate the residual
	311	l = grid_level
	312
[114]	313	!
	314	!-- Choose flag array of this level
	315	SELECT CASE ( l )
	316	CASE ( 1 )
	317	flags => wall_flags_1
	318	CASE ( 2 )
	319	flags => wall_flags_2
	320	CASE ( 3 )
	321	flags => wall_flags_3
	322	CASE ( 4 )
	323	flags => wall_flags_4
	324	CASE ( 5 )
	325	flags => wall_flags_5
	326	CASE ( 6 )
	327	flags => wall_flags_6
	328	CASE ( 7 )
	329	flags => wall_flags_7
	330	CASE ( 8 )
	331	flags => wall_flags_8
	332	CASE ( 9 )
	333	flags => wall_flags_9
	334	CASE ( 10 )
	335	flags => wall_flags_10
	336	END SELECT
	337
[1]	338	!$OMP PARALLEL PRIVATE (i,j,k)
	339	!$OMP DO
	340	DO i = nxl_mg(l), nxr_mg(l)
	341	DO j = nys_mg(l), nyn_mg(l)
	342	DO k = nzb+1, nzt_mg(l)
[114]	343	r(k,j,i) = f_mg(k,j,i) &
[2037]	344	- rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	345	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	346	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	347	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	348	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	349	- rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	350	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	351	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	352	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	353	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	354	- f2_mg(k,l) * p_mg(k+1,j,i) &
	355	- f3_mg(k,l) * &
	356	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	357	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
[1]	358	+ f1_mg(k,l) * p_mg(k,j,i)
[114]	359	!
	360	!-- Residual within topography should be zero
[1353]	361	r(k,j,i) = r(k,j,i) * ( 1.0_wp - IBITS( flags(k,j,i), 6, 1 ) )
[1]	362	ENDDO
	363	ENDDO
	364	ENDDO
	365	!$OMP END PARALLEL
	366
	367	!
	368	!-- Horizontal boundary conditions
[667]	369	CALL exchange_horiz( r, 1)
[1]	370
[707]	371	IF ( .NOT. bc_lr_cyc ) THEN
[1762]	372	IF ( inflow_l .OR. outflow_l .OR. nest_bound_l ) THEN
	373	r(:,:,nxl_mg(l)-1) = r(:,:,nxl_mg(l))
	374	ENDIF
	375	IF ( inflow_r .OR. outflow_r .OR. nest_bound_r ) THEN
	376	r(:,:,nxr_mg(l)+1) = r(:,:,nxr_mg(l))
	377	ENDIF
[1]	378	ENDIF
	379
[707]	380	IF ( .NOT. bc_ns_cyc ) THEN
[1762]	381	IF ( inflow_n .OR. outflow_n .OR. nest_bound_n ) THEN
	382	r(:,nyn_mg(l)+1,:) = r(:,nyn_mg(l),:)
	383	ENDIF
	384	IF ( inflow_s .OR. outflow_s .OR. nest_bound_s ) THEN
	385	r(:,nys_mg(l)-1,:) = r(:,nys_mg(l),:)
	386	ENDIF
[1]	387	ENDIF
	388
	389	!
[707]	390	!-- Boundary conditions at bottom and top of the domain.
	391	!-- These points are not handled by the above loop. Points may be within
	392	!-- buildings, but that doesn't matter.
	393	IF ( ibc_p_b == 1 ) THEN
	394	r(nzb,:,: ) = r(nzb+1,:,:)
	395	ELSE
[1353]	396	r(nzb,:,: ) = 0.0_wp
[707]	397	ENDIF
	398
[1]	399	IF ( ibc_p_t == 1 ) THEN
	400	r(nzt_mg(l)+1,:,: ) = r(nzt_mg(l),:,:)
	401	ELSE
[1353]	402	r(nzt_mg(l)+1,:,: ) = 0.0_wp
[1]	403	ENDIF
	404
	405
[1931]	406	END SUBROUTINE resid_noopt
[1]	407
	408
	409	!------------------------------------------------------------------------------!
	410	! Description:
	411	! ------------
[1682]	412	!> Interpolates the residual on the next coarser grid with "full weighting"
	413	!> scheme.
[1]	414	!------------------------------------------------------------------------------!
[1931]	415	SUBROUTINE restrict_noopt( f_mg, r )
[1]	416
[1682]	417
[1320]	418	USE control_parameters, &
	419	ONLY: bc_lr_cyc, bc_ns_cyc, grid_level, ibc_p_b, ibc_p_t, inflow_l, &
[1762]	420	inflow_n, inflow_r, inflow_s, nest_bound_l, nest_bound_n, &
	421	nest_bound_r, nest_bound_s, outflow_l, outflow_n, outflow_r, &
[1320]	422	outflow_s
[1]	423
[1320]	424	USE indices, &
	425	ONLY: flags, wall_flags_1, wall_flags_2, wall_flags_3, wall_flags_4, &
	426	wall_flags_5, wall_flags_6, wall_flags_7, wall_flags_8, &
	427	wall_flags_9, wall_flags_10, nxl_mg, nxr_mg, nys_mg, nyn_mg, &
	428	nzb, nzt_mg
	429
	430	USE kinds
	431
[1]	432	IMPLICIT NONE
	433
[1682]	434	INTEGER(iwp) :: i !<
	435	INTEGER(iwp) :: ic !<
	436	INTEGER(iwp) :: j !<
	437	INTEGER(iwp) :: jc !<
	438	INTEGER(iwp) :: k !<
	439	INTEGER(iwp) :: kc !<
	440	INTEGER(iwp) :: l !<
[1]	441
[1682]	442	REAL(wp) :: rkjim !<
	443	REAL(wp) :: rkjip !<
	444	REAL(wp) :: rkjmi !<
	445	REAL(wp) :: rkjmim !<
	446	REAL(wp) :: rkjmip !<
	447	REAL(wp) :: rkjpi !<
	448	REAL(wp) :: rkjpim !<
	449	REAL(wp) :: rkjpip !<
	450	REAL(wp) :: rkmji !<
	451	REAL(wp) :: rkmjim !<
	452	REAL(wp) :: rkmjip !<
	453	REAL(wp) :: rkmjmi !<
	454	REAL(wp) :: rkmjmim !<
	455	REAL(wp) :: rkmjmip !<
	456	REAL(wp) :: rkmjpi !<
	457	REAL(wp) :: rkmjpim !<
	458	REAL(wp) :: rkmjpip !<
[114]	459
[1320]	460	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
	461	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	462	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f_mg !<
[1]	463
[1320]	464	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level+1)+1, &
	465	nys_mg(grid_level+1)-1:nyn_mg(grid_level+1)+1, &
[1682]	466	nxl_mg(grid_level+1)-1:nxr_mg(grid_level+1)+1) :: r !<
[1]	467
	468	!
	469	!-- Interpolate the residual
	470	l = grid_level
	471
[114]	472	!
	473	!-- Choose flag array of the upper level
[181]	474	SELECT CASE ( l+1 )
[114]	475	CASE ( 1 )
	476	flags => wall_flags_1
	477	CASE ( 2 )
	478	flags => wall_flags_2
	479	CASE ( 3 )
	480	flags => wall_flags_3
	481	CASE ( 4 )
	482	flags => wall_flags_4
	483	CASE ( 5 )
	484	flags => wall_flags_5
	485	CASE ( 6 )
	486	flags => wall_flags_6
	487	CASE ( 7 )
	488	flags => wall_flags_7
	489	CASE ( 8 )
	490	flags => wall_flags_8
	491	CASE ( 9 )
	492	flags => wall_flags_9
	493	CASE ( 10 )
	494	flags => wall_flags_10
	495	END SELECT
	496
[1]	497	!$OMP PARALLEL PRIVATE (i,j,k,ic,jc,kc)
	498	!$OMP DO
	499	DO ic = nxl_mg(l), nxr_mg(l)
	500	i = 2*ic
	501	DO jc = nys_mg(l), nyn_mg(l)
	502	j = 2*jc
	503	DO kc = nzb+1, nzt_mg(l)
	504	k = 2*kc-1
[114]	505	!
	506	!-- Use implicit Neumann BCs if the respective gridpoint is inside
	507	!-- the building
	508	rkjim = r(k,j,i-1) + IBITS( flags(k,j,i-1), 6, 1 ) * &
	509	( r(k,j,i) - r(k,j,i-1) )
	510	rkjip = r(k,j,i+1) + IBITS( flags(k,j,i+1), 6, 1 ) * &
	511	( r(k,j,i) - r(k,j,i+1) )
	512	rkjpi = r(k,j+1,i) + IBITS( flags(k,j+1,i), 6, 1 ) * &
	513	( r(k,j,i) - r(k,j+1,i) )
	514	rkjmi = r(k,j-1,i) + IBITS( flags(k,j-1,i), 6, 1 ) * &
	515	( r(k,j,i) - r(k,j-1,i) )
	516	rkjmim = r(k,j-1,i-1) + IBITS( flags(k,j-1,i-1), 6, 1 ) * &
	517	( r(k,j,i) - r(k,j-1,i-1) )
	518	rkjpim = r(k,j+1,i-1) + IBITS( flags(k,j+1,i-1), 6, 1 ) * &
	519	( r(k,j,i) - r(k,j+1,i-1) )
	520	rkjmip = r(k,j-1,i+1) + IBITS( flags(k,j-1,i+1), 6, 1 ) * &
	521	( r(k,j,i) - r(k,j-1,i+1) )
	522	rkjpip = r(k,j+1,i+1) + IBITS( flags(k,j+1,i+1), 6, 1 ) * &
	523	( r(k,j,i) - r(k,j+1,i+1) )
	524	rkmji = r(k-1,j,i) + IBITS( flags(k-1,j,i), 6, 1 ) * &
	525	( r(k,j,i) - r(k-1,j,i) )
	526	rkmjim = r(k-1,j,i-1) + IBITS( flags(k-1,j,i-1), 6, 1 ) * &
	527	( r(k,j,i) - r(k-1,j,i-1) )
	528	rkmjip = r(k-1,j,i+1) + IBITS( flags(k-1,j,i+1), 6, 1 ) * &
	529	( r(k,j,i) - r(k-1,j,i+1) )
	530	rkmjpi = r(k-1,j+1,i) + IBITS( flags(k-1,j+1,i), 6, 1 ) * &
	531	( r(k,j,i) - r(k-1,j+1,i) )
	532	rkmjmi = r(k-1,j-1,i) + IBITS( flags(k-1,j-1,i), 6, 1 ) * &
	533	( r(k,j,i) - r(k-1,j-1,i) )
	534	rkmjmim = r(k-1,j-1,i-1) + IBITS( flags(k-1,j-1,i-1), 6, 1 ) * &
	535	( r(k,j,i) - r(k-1,j-1,i-1) )
	536	rkmjpim = r(k-1,j+1,i-1) + IBITS( flags(k-1,j+1,i-1), 6, 1 ) * &
	537	( r(k,j,i) - r(k-1,j+1,i-1) )
	538	rkmjmip = r(k-1,j-1,i+1) + IBITS( flags(k-1,j-1,i+1), 6, 1 ) * &
	539	( r(k,j,i) - r(k-1,j-1,i+1) )
	540	rkmjpip = r(k-1,j+1,i+1) + IBITS( flags(k-1,j+1,i+1), 6, 1 ) * &
	541	( r(k,j,i) - r(k-1,j+1,i+1) )
	542
[1353]	543	f_mg(kc,jc,ic) = 1.0_wp / 64.0_wp * ( &
	544	8.0_wp * r(k,j,i) &
	545	+ 4.0_wp * ( rkjim + rkjip + &
	546	rkjpi + rkjmi ) &
	547	+ 2.0_wp * ( rkjmim + rkjpim + &
	548	rkjmip + rkjpip ) &
	549	+ 4.0_wp * rkmji &
	550	+ 2.0_wp * ( rkmjim + rkmjim + &
	551	rkmjpi + rkmjmi ) &
	552	+ ( rkmjmim + rkmjpim + &
	553	rkmjmip + rkmjpip ) &
	554	+ 4.0_wp * r(k+1,j,i) &
	555	+ 2.0_wp * ( r(k+1,j,i-1) + r(k+1,j,i+1) + &
	556	r(k+1,j+1,i) + r(k+1,j-1,i) ) &
	557	+ ( r(k+1,j-1,i-1) + r(k+1,j+1,i-1) + &
	558	r(k+1,j-1,i+1) + r(k+1,j+1,i+1) ) &
	559	)
[114]	560
[1353]	561	! f_mg(kc,jc,ic) = 1.0_wp / 64.0_wp * ( &
	562	! 8.0_wp * r(k,j,i) &
	563	! + 4.0_wp * ( r(k,j,i-1) + r(k,j,i+1) + &
	564	! r(k,j+1,i) + r(k,j-1,i) ) &
	565	! + 2.0_wp * ( r(k,j-1,i-1) + r(k,j+1,i-1) + &
	566	! r(k,j-1,i+1) + r(k,j+1,i+1) ) &
	567	! + 4.0_wp * r(k-1,j,i) &
	568	! + 2.0_wp * ( r(k-1,j,i-1) + r(k-1,j,i+1) + &
	569	! r(k-1,j+1,i) + r(k-1,j-1,i) ) &
	570	! + ( r(k-1,j-1,i-1) + r(k-1,j+1,i-1) + &
	571	! r(k-1,j-1,i+1) + r(k-1,j+1,i+1) ) &
	572	! + 4.0_wp * r(k+1,j,i) &
	573	! + 2.0_wp * ( r(k+1,j,i-1) + r(k+1,j,i+1) + &
	574	! r(k+1,j+1,i) + r(k+1,j-1,i) ) &
	575	! + ( r(k+1,j-1,i-1) + r(k+1,j+1,i-1) + &
	576	! r(k+1,j-1,i+1) + r(k+1,j+1,i+1) ) &
	577	! )
[1]	578	ENDDO
	579	ENDDO
	580	ENDDO
	581	!$OMP END PARALLEL
	582
	583	!
	584	!-- Horizontal boundary conditions
[667]	585	CALL exchange_horiz( f_mg, 1)
[1]	586
[707]	587	IF ( .NOT. bc_lr_cyc ) THEN
[1762]	588	IF ( inflow_l .OR. outflow_l .OR. nest_bound_l ) THEN
	589	f_mg(:,:,nxl_mg(l)-1) = f_mg(:,:,nxl_mg(l))
	590	ENDIF
	591	IF ( inflow_r .OR. outflow_r .OR. nest_bound_r ) THEN
	592	f_mg(:,:,nxr_mg(l)+1) = f_mg(:,:,nxr_mg(l))
	593	ENDIF
[1]	594	ENDIF
	595
[707]	596	IF ( .NOT. bc_ns_cyc ) THEN
[1762]	597	IF ( inflow_n .OR. outflow_n .OR. nest_bound_n ) THEN
	598	f_mg(:,nyn_mg(l)+1,:) = f_mg(:,nyn_mg(l),:)
	599	ENDIF
	600	IF ( inflow_s .OR. outflow_s .OR. nest_bound_s ) THEN
	601	f_mg(:,nys_mg(l)-1,:) = f_mg(:,nys_mg(l),:)
	602	ENDIF
[1]	603	ENDIF
	604
	605	!
[707]	606	!-- Boundary conditions at bottom and top of the domain.
	607	!-- These points are not handled by the above loop. Points may be within
	608	!-- buildings, but that doesn't matter.
	609	IF ( ibc_p_b == 1 ) THEN
	610	f_mg(nzb,:,: ) = f_mg(nzb+1,:,:)
	611	ELSE
[1353]	612	f_mg(nzb,:,: ) = 0.0_wp
[707]	613	ENDIF
[1]	614
[707]	615	IF ( ibc_p_t == 1 ) THEN
	616	f_mg(nzt_mg(l)+1,:,: ) = f_mg(nzt_mg(l),:,:)
	617	ELSE
[1353]	618	f_mg(nzt_mg(l)+1,:,: ) = 0.0_wp
[707]	619	ENDIF
[1]	620
[707]	621
[1931]	622	END SUBROUTINE restrict_noopt
[1]	623
	624
	625	!------------------------------------------------------------------------------!
	626	! Description:
	627	! ------------
[1682]	628	!> Interpolates the correction of the perturbation pressure
	629	!> to the next finer grid.
[1]	630	!------------------------------------------------------------------------------!
[1931]	631	SUBROUTINE prolong_noopt( p, temp )
[1]	632
[1682]	633
[1320]	634	USE control_parameters, &
	635	ONLY: bc_lr_cyc, bc_ns_cyc, grid_level, ibc_p_b, ibc_p_t, inflow_l, &
[1762]	636	inflow_n, inflow_r, inflow_s, nest_bound_l, nest_bound_n, &
	637	nest_bound_r, nest_bound_s, outflow_l, outflow_n, outflow_r, &
[1320]	638	outflow_s
[1]	639
[1320]	640	USE indices, &
	641	ONLY: nxl_mg, nxr_mg, nys_mg, nyn_mg, nzb, nzt_mg
	642
	643	USE kinds
	644
[1]	645	IMPLICIT NONE
	646
[1682]	647	INTEGER(iwp) :: i !<
	648	INTEGER(iwp) :: j !<
	649	INTEGER(iwp) :: k !<
	650	INTEGER(iwp) :: l !<
[1]	651
[1320]	652	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level-1)+1, &
	653	nys_mg(grid_level-1)-1:nyn_mg(grid_level-1)+1, &
[1682]	654	nxl_mg(grid_level-1)-1:nxr_mg(grid_level-1)+1 ) :: p !<
[1]	655
[1320]	656	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
	657	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	658	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: temp !<
[1]	659
	660
	661	!
	662	!-- First, store elements of the coarser grid on the next finer grid
	663	l = grid_level
	664
	665	!$OMP PARALLEL PRIVATE (i,j,k)
	666	!$OMP DO
	667	DO i = nxl_mg(l-1), nxr_mg(l-1)
	668	DO j = nys_mg(l-1), nyn_mg(l-1)
	669	!CDIR NODEP
	670	DO k = nzb+1, nzt_mg(l-1)
	671	!
	672	!-- Points of the coarse grid are directly stored on the next finer
	673	!-- grid
	674	temp(2k-1,2j,2*i) = p(k,j,i)
	675	!
	676	!-- Points between two coarse-grid points
[1353]	677	temp(2k-1,2j,2i+1) = 0.5_wp ( p(k,j,i) + p(k,j,i+1) )
	678	temp(2k-1,2j+1,2i) = 0.5_wp ( p(k,j,i) + p(k,j+1,i) )
	679	temp(2k,2j,2i) = 0.5_wp ( p(k,j,i) + p(k+1,j,i) )
[1]	680	!
	681	!-- Points in the center of the planes stretched by four points
	682	!-- of the coarse grid cube
[1353]	683	temp(2k-1,2j+1,2i+1) = 0.25_wp ( p(k,j,i) + p(k,j,i+1) + &
	684	p(k,j+1,i) + p(k,j+1,i+1) )
	685	temp(2k,2j,2i+1) = 0.25_wp ( p(k,j,i) + p(k,j,i+1) + &
	686	p(k+1,j,i) + p(k+1,j,i+1) )
	687	temp(2k,2j+1,2i) = 0.25_wp ( p(k,j,i) + p(k,j+1,i) + &
	688	p(k+1,j,i) + p(k+1,j+1,i) )
[1]	689	!
	690	!-- Points in the middle of coarse grid cube
[1353]	691	temp(2k,2j+1,2i+1) = 0.125_wp ( p(k,j,i) + p(k,j,i+1) + &
	692	p(k,j+1,i) + p(k,j+1,i+1) + &
	693	p(k+1,j,i) + p(k+1,j,i+1) + &
	694	p(k+1,j+1,i) + p(k+1,j+1,i+1) )
[1]	695	ENDDO
	696	ENDDO
	697	ENDDO
	698	!$OMP END PARALLEL
	699
	700	!
	701	!-- Horizontal boundary conditions
[667]	702	CALL exchange_horiz( temp, 1)
[1]	703
[707]	704	IF ( .NOT. bc_lr_cyc ) THEN
[1762]	705	IF ( inflow_l .OR. outflow_l .OR. nest_bound_l ) THEN
	706	temp(:,:,nxl_mg(l)-1) = temp(:,:,nxl_mg(l))
	707	ENDIF
	708	IF ( inflow_r .OR. outflow_r .OR. nest_bound_r ) THEN
	709	temp(:,:,nxr_mg(l)+1) = temp(:,:,nxr_mg(l))
	710	ENDIF
[1]	711	ENDIF
	712
[707]	713	IF ( .NOT. bc_ns_cyc ) THEN
[1762]	714	IF ( inflow_n .OR. outflow_n .OR. nest_bound_n ) THEN
	715	temp(:,nyn_mg(l)+1,:) = temp(:,nyn_mg(l),:)
	716	ENDIF
	717	IF ( inflow_s .OR. outflow_s .OR. nest_bound_s ) THEN
	718	temp(:,nys_mg(l)-1,:) = temp(:,nys_mg(l),:)
	719	ENDIF
[1]	720	ENDIF
	721
	722	!
	723	!-- Bottom and top boundary conditions
	724	IF ( ibc_p_b == 1 ) THEN
	725	temp(nzb,:,: ) = temp(nzb+1,:,:)
	726	ELSE
[1353]	727	temp(nzb,:,: ) = 0.0_wp
[1]	728	ENDIF
	729
	730	IF ( ibc_p_t == 1 ) THEN
	731	temp(nzt_mg(l)+1,:,: ) = temp(nzt_mg(l),:,:)
	732	ELSE
[1353]	733	temp(nzt_mg(l)+1,:,: ) = 0.0_wp
[1]	734	ENDIF
	735
	736
[1931]	737	END SUBROUTINE prolong_noopt
[1]	738
	739
	740	!------------------------------------------------------------------------------!
	741	! Description:
	742	! ------------
[1682]	743	!> Relaxation method for the multigrid scheme. A Gauss-Seidel iteration with
	744	!> 3D-Red-Black decomposition (GS-RB) is used.
[1]	745	!------------------------------------------------------------------------------!
[1931]	746	SUBROUTINE redblack_noopt( f_mg, p_mg )
[1]	747
[1682]	748
[1320]	749	USE arrays_3d, &
[2037]	750	ONLY: f1_mg, f2_mg, f3_mg, rho_air_mg
[1]	751
[1320]	752	USE control_parameters, &
	753	ONLY: bc_lr_cyc, bc_ns_cyc, grid_level, ibc_p_b, ibc_p_t, inflow_l, &
[1762]	754	inflow_n, inflow_r, inflow_s, ngsrb, nest_bound_l, &
	755	nest_bound_n, nest_bound_r, nest_bound_s, outflow_l, outflow_n, &
[1320]	756	outflow_r, outflow_s
	757
	758	USE cpulog, &
	759	ONLY: cpu_log, log_point_s
	760
	761	USE grid_variables, &
	762	ONLY: ddx2_mg, ddy2_mg
	763
	764	USE indices, &
	765	ONLY: flags, wall_flags_1, wall_flags_2, wall_flags_3, wall_flags_4, &
	766	wall_flags_5, wall_flags_6, wall_flags_7, wall_flags_8, &
	767	wall_flags_9, wall_flags_10, nxl_mg, nxr_mg, nys_mg, nyn_mg, &
	768	nzb, nzt_mg
	769
	770	USE kinds
	771
[1]	772	IMPLICIT NONE
	773
[1682]	774	INTEGER(iwp) :: color !<
	775	INTEGER(iwp) :: i !<
	776	INTEGER(iwp) :: ic !<
	777	INTEGER(iwp) :: j !<
	778	INTEGER(iwp) :: jc !<
	779	INTEGER(iwp) :: jj !<
	780	INTEGER(iwp) :: k !<
	781	INTEGER(iwp) :: l !<
	782	INTEGER(iwp) :: n !<
[1]	783
[1682]	784	LOGICAL :: unroll !<
[1]	785
[1682]	786	REAL(wp) :: wall_left !<
	787	REAL(wp) :: wall_north !<
	788	REAL(wp) :: wall_right !<
	789	REAL(wp) :: wall_south !<
	790	REAL(wp) :: wall_total !<
	791	REAL(wp) :: wall_top !<
[114]	792
[1320]	793	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
	794	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	795	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f_mg !<
[1320]	796	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
	797	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	798	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: p_mg !<
[1]	799
	800	l = grid_level
	801
[114]	802	!
	803	!-- Choose flag array of this level
	804	SELECT CASE ( l )
	805	CASE ( 1 )
	806	flags => wall_flags_1
	807	CASE ( 2 )
	808	flags => wall_flags_2
	809	CASE ( 3 )
	810	flags => wall_flags_3
	811	CASE ( 4 )
	812	flags => wall_flags_4
	813	CASE ( 5 )
	814	flags => wall_flags_5
	815	CASE ( 6 )
	816	flags => wall_flags_6
	817	CASE ( 7 )
	818	flags => wall_flags_7
	819	CASE ( 8 )
	820	flags => wall_flags_8
	821	CASE ( 9 )
	822	flags => wall_flags_9
	823	CASE ( 10 )
	824	flags => wall_flags_10
	825	END SELECT
	826
[1]	827	unroll = ( MOD( nyn_mg(l)-nys_mg(l)+1, 4 ) == 0 .AND. &
	828	MOD( nxr_mg(l)-nxl_mg(l)+1, 2 ) == 0 )
	829
	830	DO n = 1, ngsrb
	831
[1320]	832	DO color = 1, 2
[1]	833
	834	IF ( .NOT. unroll ) THEN
[778]	835
[1931]	836	CALL cpu_log( log_point_s(36), 'redblack_no_unroll_noopt', 'start' )
[1]	837
	838	!
	839	!-- Without unrolling of loops, no cache optimization
	840	DO i = nxl_mg(l), nxr_mg(l), 2
[1320]	841	DO j = nys_mg(l) + 2 - color, nyn_mg(l), 2
[1]	842	DO k = nzb+1, nzt_mg(l), 2
[1353]	843	! p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[114]	844	! ddx2_mg(l) * ( p_mg(k,j,i+1) + p_mg(k,j,i-1) ) &
	845	! + ddy2_mg(l) * ( p_mg(k,j+1,i) + p_mg(k,j-1,i) ) &
	846	! + f2_mg(k,l) * p_mg(k+1,j,i) &
	847	! + f3_mg(k,l) * p_mg(k-1,j,i) - f_mg(k,j,i) &
	848	! )
	849
[1353]	850	p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[2037]	851	rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	852	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	853	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	854	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	855	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	856	+ rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	857	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	858	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	859	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	860	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	861	+ f2_mg(k,l) * p_mg(k+1,j,i) &
	862	+ f3_mg(k,l) * &
	863	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	864	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
	865	- f_mg(k,j,i) )
[1]	866	ENDDO
	867	ENDDO
	868	ENDDO
	869
	870	DO i = nxl_mg(l)+1, nxr_mg(l), 2
[1320]	871	DO j = nys_mg(l) + (color-1), nyn_mg(l), 2
[1]	872	DO k = nzb+1, nzt_mg(l), 2
[1353]	873	p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[2037]	874	rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	875	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	876	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	877	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	878	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	879	+ rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	880	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	881	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	882	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	883	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	884	+ f2_mg(k,l) * p_mg(k+1,j,i) &
	885	+ f3_mg(k,l) * &
	886	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	887	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
	888	- f_mg(k,j,i) )
[1]	889	ENDDO
	890	ENDDO
	891	ENDDO
	892
	893	DO i = nxl_mg(l), nxr_mg(l), 2
[1320]	894	DO j = nys_mg(l) + (color-1), nyn_mg(l), 2
[1]	895	DO k = nzb+2, nzt_mg(l), 2
[1353]	896	p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[2037]	897	rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	898	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	899	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	900	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	901	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	902	+ rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	903	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	904	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	905	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	906	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	907	+ f2_mg(k,l) * p_mg(k+1,j,i) &
	908	+ f3_mg(k,l) * &
	909	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	910	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
	911	- f_mg(k,j,i) )
[1]	912	ENDDO
	913	ENDDO
	914	ENDDO
	915
	916	DO i = nxl_mg(l)+1, nxr_mg(l), 2
[1320]	917	DO j = nys_mg(l) + 2 - color, nyn_mg(l), 2
[1]	918	DO k = nzb+2, nzt_mg(l), 2
[1353]	919	p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[2037]	920	rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	921	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	922	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	923	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	924	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	925	+ rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	926	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	927	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	928	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	929	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	930	+ f2_mg(k,l) * p_mg(k+1,j,i) &
	931	+ f3_mg(k,l) * &
	932	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	933	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
	934	- f_mg(k,j,i) )
[1]	935	ENDDO
	936	ENDDO
	937	ENDDO
[1931]	938	CALL cpu_log( log_point_s(36), 'redblack_no_unroll_noopt', 'stop' )
[1]	939
	940	ELSE
	941
	942	!
	943	!-- Loop unrolling along y, only one i loop for better cache use
[1931]	944	CALL cpu_log( log_point_s(38), 'redblack_unroll_noopt', 'start' )
[1]	945	DO ic = nxl_mg(l), nxr_mg(l), 2
	946	DO jc = nys_mg(l), nyn_mg(l), 4
	947	i = ic
[1320]	948	jj = jc+2-color
[1]	949	DO k = nzb+1, nzt_mg(l), 2
	950	j = jj
[1353]	951	p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[2037]	952	rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	953	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	954	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	955	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	956	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	957	+ rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	958	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	959	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	960	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	961	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	962	+ f2_mg(k,l) * p_mg(k+1,j,i) &
	963	+ f3_mg(k,l) * &
	964	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	965	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
	966	- f_mg(k,j,i) )
[1]	967	j = jj+2
[1353]	968	p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[2037]	969	rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	970	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	971	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	972	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	973	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	974	+ rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	975	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	976	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	977	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	978	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	979	+ f2_mg(k,l) * p_mg(k+1,j,i) &
	980	+ f3_mg(k,l) * &
	981	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	982	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
	983	- f_mg(k,j,i) )
[1]	984	ENDDO
	985
	986	i = ic+1
[1320]	987	jj = jc+color-1
[1]	988	DO k = nzb+1, nzt_mg(l), 2
	989	j =jj
[1353]	990	p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[2037]	991	rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	992	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	993	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	994	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	995	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	996	+ rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	997	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	998	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	999	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	1000	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	1001	+ f2_mg(k,l) * p_mg(k+1,j,i) &
	1002	+ f3_mg(k,l) * &
	1003	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	1004	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
	1005	- f_mg(k,j,i) )
[1]	1006	j = jj+2
[1353]	1007	p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[2037]	1008	rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	1009	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	1010	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	1011	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	1012	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	1013	+ rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	1014	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	1015	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	1016	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	1017	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	1018	+ f2_mg(k,l) * p_mg(k+1,j,i) &
	1019	+ f3_mg(k,l) * &
	1020	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	1021	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
	1022	- f_mg(k,j,i) )
[1]	1023	ENDDO
	1024
	1025	i = ic
[1320]	1026	jj = jc+color-1
[1]	1027	DO k = nzb+2, nzt_mg(l), 2
	1028	j =jj
[1353]	1029	p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[2037]	1030	rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	1031	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	1032	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	1033	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	1034	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	1035	+ rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	1036	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	1037	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	1038	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	1039	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	1040	+ f2_mg(k,l) * p_mg(k+1,j,i) &
	1041	+ f3_mg(k,l) * &
	1042	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	1043	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
	1044	- f_mg(k,j,i) )
[1]	1045	j = jj+2
[1353]	1046	p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[2037]	1047	rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	1048	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	1049	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	1050	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	1051	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	1052	+ rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	1053	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	1054	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	1055	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	1056	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	1057	+ f2_mg(k,l) * p_mg(k+1,j,i) &
	1058	+ f3_mg(k,l) * &
	1059	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	1060	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
	1061	- f_mg(k,j,i) )
[1]	1062	ENDDO
	1063
	1064	i = ic+1
[1320]	1065	jj = jc+2-color
[1]	1066	DO k = nzb+2, nzt_mg(l), 2
	1067	j =jj
[1353]	1068	p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[2037]	1069	rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	1070	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	1071	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	1072	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	1073	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	1074	+ rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	1075	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	1076	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	1077	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	1078	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	1079	+ f2_mg(k,l) * p_mg(k+1,j,i) &
	1080	+ f3_mg(k,l) * &
	1081	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	1082	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
	1083	- f_mg(k,j,i) )
[1]	1084	j = jj+2
[1353]	1085	p_mg(k,j,i) = 1.0_wp / f1_mg(k,l) * ( &
[2037]	1086	rho_air_mg(k,l) * ddx2_mg(l) * &
[114]	1087	( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * &
	1088	( p_mg(k,j,i) - p_mg(k,j,i+1) ) + &
	1089	p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * &
	1090	( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) &
[2037]	1091	+ rho_air_mg(k,l) * ddy2_mg(l) * &
[114]	1092	( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * &
	1093	( p_mg(k,j,i) - p_mg(k,j+1,i) ) + &
	1094	p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * &
	1095	( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) &
	1096	+ f2_mg(k,l) * p_mg(k+1,j,i) &
	1097	+ f3_mg(k,l) * &
	1098	( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * &
	1099	( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) &
	1100	- f_mg(k,j,i) )
[1]	1101	ENDDO
	1102
	1103	ENDDO
	1104	ENDDO
[1931]	1105	CALL cpu_log( log_point_s(38), 'redblack_unroll_noopt', 'stop' )
[1]	1106
	1107	ENDIF
	1108
	1109	!
	1110	!-- Horizontal boundary conditions
[667]	1111	CALL exchange_horiz( p_mg, 1 )
[1]	1112
[707]	1113	IF ( .NOT. bc_lr_cyc ) THEN
[1762]	1114	IF ( inflow_l .OR. outflow_l .OR. nest_bound_l ) THEN
[1]	1115	p_mg(:,:,nxl_mg(l)-1) = p_mg(:,:,nxl_mg(l))
	1116	ENDIF
[1762]	1117	IF ( inflow_r .OR. outflow_r .OR. nest_bound_r ) THEN
[1]	1118	p_mg(:,:,nxr_mg(l)+1) = p_mg(:,:,nxr_mg(l))
	1119	ENDIF
	1120	ENDIF
	1121
[707]	1122	IF ( .NOT. bc_ns_cyc ) THEN
[1762]	1123	IF ( inflow_n .OR. outflow_n .OR. nest_bound_n ) THEN
[1]	1124	p_mg(:,nyn_mg(l)+1,:) = p_mg(:,nyn_mg(l),:)
	1125	ENDIF
[1762]	1126	IF ( inflow_s .OR. outflow_s .OR. nest_bound_s ) THEN
[1]	1127	p_mg(:,nys_mg(l)-1,:) = p_mg(:,nys_mg(l),:)
	1128	ENDIF
	1129	ENDIF
	1130
	1131	!
	1132	!-- Bottom and top boundary conditions
	1133	IF ( ibc_p_b == 1 ) THEN
	1134	p_mg(nzb,:,: ) = p_mg(nzb+1,:,:)
	1135	ELSE
[1353]	1136	p_mg(nzb,:,: ) = 0.0_wp
[1]	1137	ENDIF
	1138
	1139	IF ( ibc_p_t == 1 ) THEN
	1140	p_mg(nzt_mg(l)+1,:,: ) = p_mg(nzt_mg(l),:,:)
	1141	ELSE
[1353]	1142	p_mg(nzt_mg(l)+1,:,: ) = 0.0_wp
[1]	1143	ENDIF
	1144
	1145	ENDDO
	1146
	1147	ENDDO
	1148
[114]	1149	!
	1150	!-- Set pressure within topography and at the topography surfaces
	1151	!$OMP PARALLEL PRIVATE (i,j,k,wall_left,wall_north,wall_right,wall_south,wall_top,wall_total)
	1152	!$OMP DO
	1153	DO i = nxl_mg(l), nxr_mg(l)
	1154	DO j = nys_mg(l), nyn_mg(l)
	1155	DO k = nzb, nzt_mg(l)
	1156	!
	1157	!-- First, set pressure inside topography to zero
[1353]	1158	p_mg(k,j,i) = p_mg(k,j,i) * ( 1.0_wp - IBITS( flags(k,j,i), 6, 1 ) )
[114]	1159	!
	1160	!-- Second, determine if the gridpoint inside topography is adjacent
	1161	!-- to a wall and set its value to a value given by the average of
	1162	!-- those values obtained from Neumann boundary condition
	1163	wall_left = IBITS( flags(k,j,i-1), 5, 1 )
	1164	wall_right = IBITS( flags(k,j,i+1), 4, 1 )
	1165	wall_south = IBITS( flags(k,j-1,i), 3, 1 )
	1166	wall_north = IBITS( flags(k,j+1,i), 2, 1 )
	1167	wall_top = IBITS( flags(k+1,j,i), 0, 1 )
	1168	wall_total = wall_left + wall_right + wall_south + wall_north + &
	1169	wall_top
[1]	1170
[1353]	1171	IF ( wall_total > 0.0_wp ) THEN
	1172	p_mg(k,j,i) = 1.0_wp / wall_total * &
	1173	( wall_left * p_mg(k,j,i-1) + &
	1174	wall_right * p_mg(k,j,i+1) + &
	1175	wall_south * p_mg(k,j-1,i) + &
	1176	wall_north * p_mg(k,j+1,i) + &
	1177	wall_top * p_mg(k+1,j,i) )
[114]	1178	ENDIF
	1179	ENDDO
	1180	ENDDO
	1181	ENDDO
[1056]	1182	!$OMP END PARALLEL
[114]	1183
	1184	!
	1185	!-- One more time horizontal boundary conditions
[667]	1186	CALL exchange_horiz( p_mg, 1)
[114]	1187
[778]	1188
[1931]	1189	END SUBROUTINE redblack_noopt
[1]	1190
	1191
	1192
[1682]	1193	!------------------------------------------------------------------------------!
	1194	! Description:
	1195	! ------------
	1196	!> Gather subdomain data from all PEs.
	1197	!------------------------------------------------------------------------------!
[1931]	1198	SUBROUTINE mg_gather_noopt( f2, f2_sub )
[1]	1199
[1320]	1200	USE control_parameters, &
	1201	ONLY: grid_level
	1202
	1203	USE cpulog, &
	1204	ONLY: cpu_log, log_point_s
	1205
	1206	USE indices, &
	1207	ONLY: mg_loc_ind, nxl_mg, nxr_mg, nys_mg, nyn_mg, nzb, nzt_mg
	1208
	1209	USE kinds
	1210
[1]	1211	USE pegrid
	1212
	1213	IMPLICIT NONE
	1214
[1682]	1215	INTEGER(iwp) :: i !<
	1216	INTEGER(iwp) :: il !<
	1217	INTEGER(iwp) :: ir !<
	1218	INTEGER(iwp) :: j !<
	1219	INTEGER(iwp) :: jn !<
	1220	INTEGER(iwp) :: js !<
	1221	INTEGER(iwp) :: k !<
	1222	INTEGER(iwp) :: nwords !<
[1]	1223
[1320]	1224	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
	1225	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	1226	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f2 !<
[1320]	1227	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
	1228	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	1229	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f2_l !<
[1]	1230
[1320]	1231	REAL(wp), DIMENSION(nzb:mg_loc_ind(5,myid)+1, &
	1232	mg_loc_ind(3,myid)-1:mg_loc_ind(4,myid)+1, &
[1682]	1233	mg_loc_ind(1,myid)-1:mg_loc_ind(2,myid)+1) :: f2_sub !<
[1]	1234
	1235
	1236	#if defined( __parallel )
[1931]	1237	CALL cpu_log( log_point_s(34), 'mg_gather_noopt', 'start' )
[1]	1238
[1353]	1239	f2_l = 0.0_wp
[1]	1240
	1241	!
[707]	1242	!-- Store the local subdomain array on the total array
	1243	js = mg_loc_ind(3,myid)
	1244	IF ( south_border_pe ) js = js - 1
	1245	jn = mg_loc_ind(4,myid)
	1246	IF ( north_border_pe ) jn = jn + 1
	1247	il = mg_loc_ind(1,myid)
	1248	IF ( left_border_pe ) il = il - 1
	1249	ir = mg_loc_ind(2,myid)
	1250	IF ( right_border_pe ) ir = ir + 1
	1251	DO i = il, ir
	1252	DO j = js, jn
	1253	DO k = nzb, nzt_mg(grid_level)+1
	1254	f2_l(k,j,i) = f2_sub(k,j,i)
	1255	ENDDO
[1]	1256	ENDDO
[707]	1257	ENDDO
[1]	1258
	1259	!
[707]	1260	!-- Find out the number of array elements of the total array
	1261	nwords = SIZE( f2 )
[1]	1262
[707]	1263	!
	1264	!-- Gather subdomain data from all PEs
	1265	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1266	CALL MPI_ALLREDUCE( f2_l(nzb,nys_mg(grid_level)-1,nxl_mg(grid_level)-1), &
	1267	f2(nzb,nys_mg(grid_level)-1,nxl_mg(grid_level)-1), &
	1268	nwords, MPI_REAL, MPI_SUM, comm2d, ierr )
	1269
[1931]	1270	CALL cpu_log( log_point_s(34), 'mg_gather_noopt', 'stop' )
[1]	1271	#endif
	1272
[1931]	1273	END SUBROUTINE mg_gather_noopt
[1]	1274
	1275
	1276
[1682]	1277	!------------------------------------------------------------------------------!
	1278	! Description:
	1279	! ------------
	1280	!> @todo It may be possible to improve the speed of this routine by using
	1281	!> non-blocking communication
	1282	!------------------------------------------------------------------------------!
[1931]	1283	SUBROUTINE mg_scatter_noopt( p2, p2_sub )
[1]	1284
[1320]	1285	USE control_parameters, &
	1286	ONLY: grid_level
	1287
	1288	USE cpulog, &
	1289	ONLY: cpu_log, log_point_s
	1290
	1291	USE indices, &
	1292	ONLY: mg_loc_ind, nxl_mg, nxr_mg, nys_mg, nyn_mg, nzb, nzt_mg
	1293
	1294	USE kinds
	1295
[1]	1296	USE pegrid
	1297
	1298	IMPLICIT NONE
	1299
[1682]	1300	INTEGER(iwp) :: nwords !<
[1]	1301
[1320]	1302	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level-1)+1, &
	1303	nys_mg(grid_level-1)-1:nyn_mg(grid_level-1)+1, &
[1682]	1304	nxl_mg(grid_level-1)-1:nxr_mg(grid_level-1)+1) :: p2 !<
[1]	1305
[1320]	1306	REAL(wp), DIMENSION(nzb:mg_loc_ind(5,myid)+1, &
	1307	mg_loc_ind(3,myid)-1:mg_loc_ind(4,myid)+1, &
[1682]	1308	mg_loc_ind(1,myid)-1:mg_loc_ind(2,myid)+1) :: p2_sub !<
[1]	1309
	1310	!
	1311	!-- Find out the number of array elements of the subdomain array
	1312	nwords = SIZE( p2_sub )
	1313
	1314	#if defined( __parallel )
[1931]	1315	CALL cpu_log( log_point_s(35), 'mg_scatter_noopt', 'start' )
[1]	1316
[707]	1317	p2_sub = p2(:,mg_loc_ind(3,myid)-1:mg_loc_ind(4,myid)+1, &
	1318	mg_loc_ind(1,myid)-1:mg_loc_ind(2,myid)+1)
[1]	1319
[1931]	1320	CALL cpu_log( log_point_s(35), 'mg_scatter_noopt', 'stop' )
[1]	1321	#endif
	1322
[1931]	1323	END SUBROUTINE mg_scatter_noopt
[1]	1324
	1325
	1326	!------------------------------------------------------------------------------!
	1327	! Description:
	1328	! ------------
[1682]	1329	!> This is where the multigrid technique takes place. V- and W- Cycle are
	1330	!> implemented and steered by the parameter "gamma". Parameter "nue" determines
	1331	!> the convergence of the multigrid iterative solution. There are nue times
	1332	!> RB-GS iterations. It should be set to "1" or "2", considering the time effort
	1333	!> one would like to invest. Last choice shows a very good converging factor,
	1334	!> but leads to an increase in computing time.
[1]	1335	!------------------------------------------------------------------------------!
[1931]	1336	RECURSIVE SUBROUTINE next_mg_level_noopt( f_mg, p_mg, p3, r )
[1]	1337
[1320]	1338	USE control_parameters, &
	1339	ONLY: bc_lr_dirrad, bc_lr_raddir, bc_ns_dirrad, bc_ns_raddir, &
	1340	gamma_mg, grid_level, grid_level_count, ibc_p_b, ibc_p_t, &
	1341	inflow_l, inflow_n, inflow_r, inflow_s, maximum_grid_level, &
[1762]	1342	mg_switch_to_pe0_level, mg_switch_to_pe0, nest_domain, &
	1343	nest_bound_l, nest_bound_n, nest_bound_r, nest_bound_s, ngsrb, &
	1344	outflow_l, outflow_n, outflow_r, outflow_s
[1320]	1345
	1346
	1347	USE indices, &
	1348	ONLY: mg_loc_ind, nxl, nxl_mg, nxr, nxr_mg, nys, nys_mg, nyn, &
	1349	nyn_mg, nzb, nzt, nzt_mg
	1350
	1351	USE kinds
	1352
[1]	1353	USE pegrid
	1354
	1355	IMPLICIT NONE
	1356
[1682]	1357	INTEGER(iwp) :: i !<
	1358	INTEGER(iwp) :: j !<
	1359	INTEGER(iwp) :: k !<
	1360	INTEGER(iwp) :: nxl_mg_save !<
	1361	INTEGER(iwp) :: nxr_mg_save !<
	1362	INTEGER(iwp) :: nyn_mg_save !<
	1363	INTEGER(iwp) :: nys_mg_save !<
	1364	INTEGER(iwp) :: nzt_mg_save !<
[1]	1365
[1320]	1366	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
	1367	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	1368	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f_mg !<
[1320]	1369	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
	1370	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	1371	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: p_mg !<
[1320]	1372	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
	1373	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	1374	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: p3 !<
[1320]	1375	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level)+1, &
	1376	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
[1682]	1377	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: r !<
[1]	1378
[1320]	1379	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level-1)+1, &
	1380	nys_mg(grid_level-1)-1:nyn_mg(grid_level-1)+1, &
[1682]	1381	nxl_mg(grid_level-1)-1:nxr_mg(grid_level-1)+1) :: f2 !<
[1320]	1382	REAL(wp), DIMENSION(nzb:nzt_mg(grid_level-1)+1, &
	1383	nys_mg(grid_level-1)-1:nyn_mg(grid_level-1)+1, &
[1682]	1384	nxl_mg(grid_level-1)-1:nxr_mg(grid_level-1)+1) :: p2 !<
[1]	1385
[1682]	1386	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: f2_sub !<
	1387	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: p2_sub !<
[778]	1388
[1]	1389	!
	1390	!-- Restriction to the coarsest grid
	1391	10 IF ( grid_level == 1 ) THEN
	1392
	1393	!
	1394	!-- Solution on the coarsest grid. Double the number of Gauss-Seidel
	1395	!-- iterations in order to get a more accurate solution.
	1396	ngsrb = 2 * ngsrb
[778]	1397
[1931]	1398	CALL redblack_noopt( f_mg, p_mg )
[778]	1399
[1]	1400	ngsrb = ngsrb / 2
	1401
[778]	1402
[1]	1403	ELSEIF ( grid_level /= 1 ) THEN
	1404
	1405	grid_level_count(grid_level) = grid_level_count(grid_level) + 1
	1406
	1407	!
	1408	!-- Solution on the actual grid level
[1931]	1409	CALL redblack_noopt( f_mg, p_mg )
[1]	1410
	1411	!
	1412	!-- Determination of the actual residual
[1931]	1413	CALL resid_noopt( f_mg, p_mg, r )
[1]	1414
	1415	!
	1416	!-- Restriction of the residual (finer grid values!) to the next coarser
	1417	!-- grid. Therefore, the grid level has to be decremented now. nxl..nzt have
	1418	!-- to be set to the coarse grid values, because these variables are needed
	1419	!-- for the exchange of ghost points in routine exchange_horiz
	1420	grid_level = grid_level - 1
	1421	nxl = nxl_mg(grid_level)
[778]	1422	nys = nys_mg(grid_level)
[1]	1423	nxr = nxr_mg(grid_level)
	1424	nyn = nyn_mg(grid_level)
	1425	nzt = nzt_mg(grid_level)
	1426
	1427	IF ( grid_level == mg_switch_to_pe0_level ) THEN
[778]	1428
[1]	1429	!
	1430	!-- From this level on, calculations are done on PE0 only.
	1431	!-- First, carry out restriction on the subdomain.
	1432	!-- Therefore, indices of the level have to be changed to subdomain values
	1433	!-- in between (otherwise, the restrict routine would expect
	1434	!-- the gathered array)
[778]	1435
[1]	1436	nxl_mg_save = nxl_mg(grid_level)
	1437	nxr_mg_save = nxr_mg(grid_level)
	1438	nys_mg_save = nys_mg(grid_level)
	1439	nyn_mg_save = nyn_mg(grid_level)
	1440	nzt_mg_save = nzt_mg(grid_level)
	1441	nxl_mg(grid_level) = mg_loc_ind(1,myid)
	1442	nxr_mg(grid_level) = mg_loc_ind(2,myid)
	1443	nys_mg(grid_level) = mg_loc_ind(3,myid)
	1444	nyn_mg(grid_level) = mg_loc_ind(4,myid)
	1445	nzt_mg(grid_level) = mg_loc_ind(5,myid)
	1446	nxl = mg_loc_ind(1,myid)
	1447	nxr = mg_loc_ind(2,myid)
	1448	nys = mg_loc_ind(3,myid)
	1449	nyn = mg_loc_ind(4,myid)
	1450	nzt = mg_loc_ind(5,myid)
	1451
	1452	ALLOCATE( f2_sub(nzb:nzt_mg(grid_level)+1, &
	1453	nys_mg(grid_level)-1:nyn_mg(grid_level)+1, &
	1454	nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) )
	1455
[1931]	1456	CALL restrict_noopt( f2_sub, r )
[1]	1457
	1458	!
	1459	!-- Restore the correct indices of this level
	1460	nxl_mg(grid_level) = nxl_mg_save
	1461	nxr_mg(grid_level) = nxr_mg_save
	1462	nys_mg(grid_level) = nys_mg_save
	1463	nyn_mg(grid_level) = nyn_mg_save
	1464	nzt_mg(grid_level) = nzt_mg_save
	1465	nxl = nxl_mg(grid_level)
	1466	nxr = nxr_mg(grid_level)
	1467	nys = nys_mg(grid_level)
	1468	nyn = nyn_mg(grid_level)
	1469	nzt = nzt_mg(grid_level)
	1470	!
	1471	!-- Gather all arrays from the subdomains on PE0
[1931]	1472	CALL mg_gather_noopt( f2, f2_sub )
[1]	1473
	1474	!
	1475	!-- Set switch for routine exchange_horiz, that no ghostpoint exchange
	1476	!-- has to be carried out from now on
	1477	mg_switch_to_pe0 = .TRUE.
	1478
	1479	!
	1480	!-- In case of non-cyclic lateral boundary conditions, both in- and
[707]	1481	!-- outflow conditions have to be used on all PEs after the switch,
	1482	!-- because then they have the total domain.
[1159]	1483	IF ( bc_lr_dirrad ) THEN
[707]	1484	inflow_l = .TRUE.
	1485	inflow_r = .FALSE.
	1486	outflow_l = .FALSE.
	1487	outflow_r = .TRUE.
[1159]	1488	ELSEIF ( bc_lr_raddir ) THEN
[707]	1489	inflow_l = .FALSE.
	1490	inflow_r = .TRUE.
	1491	outflow_l = .TRUE.
	1492	outflow_r = .FALSE.
[1762]	1493	ELSEIF ( nest_domain ) THEN
	1494	nest_bound_l = .TRUE.
	1495	nest_bound_r = .TRUE.
[1]	1496	ENDIF
	1497
[1159]	1498	IF ( bc_ns_dirrad ) THEN
[707]	1499	inflow_n = .TRUE.
	1500	inflow_s = .FALSE.
	1501	outflow_n = .FALSE.
	1502	outflow_s = .TRUE.
[1159]	1503	ELSEIF ( bc_ns_raddir ) THEN
[707]	1504	inflow_n = .FALSE.
	1505	inflow_s = .TRUE.
	1506	outflow_n = .TRUE.
	1507	outflow_s = .FALSE.
[1762]	1508	ELSEIF ( nest_domain ) THEN
	1509	nest_bound_s = .TRUE.
	1510	nest_bound_n = .TRUE.
[707]	1511	ENDIF
	1512
[1]	1513	DEALLOCATE( f2_sub )
	1514
	1515	ELSE
[1056]	1516
[1931]	1517	CALL restrict_noopt( f2, r )
[1]	1518
	1519	ENDIF
[707]	1520
[1353]	1521	p2 = 0.0_wp
[1]	1522
	1523	!
	1524	!-- Repeat the same procedure till the coarsest grid is reached
[1931]	1525	CALL next_mg_level_noopt( f2, p2, p3, r )
[1]	1526
	1527	ENDIF
	1528
	1529	!
	1530	!-- Now follows the prolongation
	1531	IF ( grid_level >= 2 ) THEN
	1532
	1533	!
	1534	!-- Prolongation of the new residual. The values are transferred
	1535	!-- from the coarse to the next finer grid.
	1536	IF ( grid_level == mg_switch_to_pe0_level+1 ) THEN
[879]	1537
	1538	#if defined( __parallel )
[1]	1539	!
	1540	!-- At this level, the new residual first has to be scattered from
	1541	!-- PE0 to the other PEs
	1542	ALLOCATE( p2_sub(nzb:mg_loc_ind(5,myid)+1, &
	1543	mg_loc_ind(3,myid)-1:mg_loc_ind(4,myid)+1, &
	1544	mg_loc_ind(1,myid)-1:mg_loc_ind(2,myid)+1) )
	1545
[1931]	1546	CALL mg_scatter_noopt( p2, p2_sub )
[1]	1547
	1548	!
	1549	!-- Therefore, indices of the previous level have to be changed to
	1550	!-- subdomain values in between (otherwise, the prolong routine would
	1551	!-- expect the gathered array)
	1552	nxl_mg_save = nxl_mg(grid_level-1)
	1553	nxr_mg_save = nxr_mg(grid_level-1)
	1554	nys_mg_save = nys_mg(grid_level-1)
	1555	nyn_mg_save = nyn_mg(grid_level-1)
	1556	nzt_mg_save = nzt_mg(grid_level-1)
	1557	nxl_mg(grid_level-1) = mg_loc_ind(1,myid)
	1558	nxr_mg(grid_level-1) = mg_loc_ind(2,myid)
	1559	nys_mg(grid_level-1) = mg_loc_ind(3,myid)
	1560	nyn_mg(grid_level-1) = mg_loc_ind(4,myid)
	1561	nzt_mg(grid_level-1) = mg_loc_ind(5,myid)
	1562
	1563	!
	1564	!-- Set switch for routine exchange_horiz, that ghostpoint exchange
	1565	!-- has to be carried again out from now on
	1566	mg_switch_to_pe0 = .FALSE.
	1567
	1568	!
[2021]	1569	!-- For non-cyclic lateral boundary conditions and in case of nesting,
	1570	!-- restore the in-/outflow conditions.
[707]	1571	inflow_l = .FALSE.; inflow_r = .FALSE.
	1572	inflow_n = .FALSE.; inflow_s = .FALSE.
	1573	outflow_l = .FALSE.; outflow_r = .FALSE.
	1574	outflow_n = .FALSE.; outflow_s = .FALSE.
[2021]	1575	!
	1576	!-- In case of nesting, restore lateral boundary conditions
	1577	IF ( nest_domain ) THEN
	1578	nest_bound_l = .FALSE.
	1579	nest_bound_r = .FALSE.
	1580	nest_bound_s = .FALSE.
	1581	nest_bound_n = .FALSE.
	1582	ENDIF
[707]	1583
	1584	IF ( pleft == MPI_PROC_NULL ) THEN
[1159]	1585	IF ( bc_lr_dirrad ) THEN
[707]	1586	inflow_l = .TRUE.
[1159]	1587	ELSEIF ( bc_lr_raddir ) THEN
[707]	1588	outflow_l = .TRUE.
[1762]	1589	ELSEIF ( nest_domain ) THEN
	1590	nest_bound_l = .TRUE.
[1]	1591	ENDIF
[707]	1592	ENDIF
	1593
	1594	IF ( pright == MPI_PROC_NULL ) THEN
[1159]	1595	IF ( bc_lr_dirrad ) THEN
[707]	1596	outflow_r = .TRUE.
[1159]	1597	ELSEIF ( bc_lr_raddir ) THEN
[707]	1598	inflow_r = .TRUE.
[1762]	1599	ELSEIF ( nest_domain ) THEN
	1600	nest_bound_r = .TRUE.
[1]	1601	ENDIF
	1602	ENDIF
	1603
[707]	1604	IF ( psouth == MPI_PROC_NULL ) THEN
[1159]	1605	IF ( bc_ns_dirrad ) THEN
[707]	1606	outflow_s = .TRUE.
[1159]	1607	ELSEIF ( bc_ns_raddir ) THEN
[707]	1608	inflow_s = .TRUE.
[1762]	1609	ELSEIF ( nest_domain ) THEN
	1610	nest_bound_s = .TRUE.
[707]	1611	ENDIF
	1612	ENDIF
	1613
	1614	IF ( pnorth == MPI_PROC_NULL ) THEN
[1159]	1615	IF ( bc_ns_dirrad ) THEN
[707]	1616	inflow_n = .TRUE.
[1159]	1617	ELSEIF ( bc_ns_raddir ) THEN
[707]	1618	outflow_n = .TRUE.
[1762]	1619	ELSEIF ( nest_domain ) THEN
	1620	nest_bound_n = .TRUE.
[707]	1621	ENDIF
	1622	ENDIF
	1623
[1931]	1624	CALL prolong_noopt( p2_sub, p3 )
[1]	1625
	1626	!
	1627	!-- Restore the correct indices of the previous level
	1628	nxl_mg(grid_level-1) = nxl_mg_save
	1629	nxr_mg(grid_level-1) = nxr_mg_save
	1630	nys_mg(grid_level-1) = nys_mg_save
	1631	nyn_mg(grid_level-1) = nyn_mg_save
	1632	nzt_mg(grid_level-1) = nzt_mg_save
	1633
	1634	DEALLOCATE( p2_sub )
[879]	1635	#endif
[1]	1636
	1637	ELSE
[879]	1638
[1931]	1639	CALL prolong_noopt( p2, p3 )
[1]	1640
	1641	ENDIF
	1642
	1643	!
	1644	!-- Computation of the new pressure correction. Therefore,
	1645	!-- values from prior grids are added up automatically stage by stage.
	1646	DO i = nxl_mg(grid_level)-1, nxr_mg(grid_level)+1
	1647	DO j = nys_mg(grid_level)-1, nyn_mg(grid_level)+1
	1648	DO k = nzb, nzt_mg(grid_level)+1
	1649	p_mg(k,j,i) = p_mg(k,j,i) + p3(k,j,i)
	1650	ENDDO
	1651	ENDDO
	1652	ENDDO
	1653
	1654	!
	1655	!-- Relaxation of the new solution
[1931]	1656	CALL redblack_noopt( f_mg, p_mg )
[1]	1657
	1658	ENDIF
	1659
[778]	1660
[1]	1661	!
	1662	!-- The following few lines serve the steering of the multigrid scheme
	1663	IF ( grid_level == maximum_grid_level ) THEN
	1664
	1665	GOTO 20
	1666
	1667	ELSEIF ( grid_level /= maximum_grid_level .AND. grid_level /= 1 .AND. &
	1668	grid_level_count(grid_level) /= gamma_mg ) THEN
	1669
	1670	GOTO 10
	1671
	1672	ENDIF
	1673
	1674	!
[1931]	1675	!-- Reset counter for the next call of poismg_noopt
[1]	1676	grid_level_count(grid_level) = 0
	1677
	1678	!
	1679	!-- Continue with the next finer level. nxl..nzt have to be
	1680	!-- set to the finer grid values, because these variables are needed for the
	1681	!-- exchange of ghost points in routine exchange_horiz
	1682	grid_level = grid_level + 1
	1683	nxl = nxl_mg(grid_level)
	1684	nxr = nxr_mg(grid_level)
	1685	nys = nys_mg(grid_level)
	1686	nyn = nyn_mg(grid_level)
	1687	nzt = nzt_mg(grid_level)
	1688
	1689	20 CONTINUE
	1690
[1931]	1691	END SUBROUTINE next_mg_level_noopt

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