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source: palm/trunk/SOURCE/init_grid.f90 @ 2128

Last change on this file since 2128 was 2128, checked in by suehring, 7 years ago
Bugfix in topography in case of ocean simulations
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File size: 61.8 KB

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[1682]	1	!> @file init_grid.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	!
[254]	20	! Current revisions:
[1]	21	! -----------------
[2128]	22	! Bugfix in setting topography from file in case of ocean simulations
[1969]	23	!
	24	! Former revisions:
	25	! -----------------
	26	! $Id: init_grid.f90 2128 2017-01-23 15:00:03Z suehring $
	27	!
[2089]	28	! 2088 2016-12-19 16:30:25Z suehring
	29	! Bugfix in generic topography in case of ocean simulations
	30	!
[2038]	31	! 2037 2016-10-26 11:15:40Z knoop
	32	! Anelastic approximation implemented
	33	!
[2022]	34	! 2021 2016-10-07 14:08:57Z suehring
	35	! Bugfix: setting Neumann boundary conditions for topography required for
	36	! topography flags in multigrid_noopt solver
	37	!
[2001]	38	! 2000 2016-08-20 18:09:15Z knoop
	39	! Forced header and separation lines into 80 columns
	40	!
[1995]	41	! 1994 2016-08-15 09:52:21Z suehring
	42	! Bugfix in definition of generic topography
	43	!
[1983]	44	! 1982 2016-08-01 11:04:48Z suehring
	45	! Bugfix concering consistency check for topography
	46	!
[1969]	47	! 1968 2016-07-18 12:01:49Z suehring
[1968]	48	! Changed: PE-wise reading of topography file in order to avoid global definition
	49	! of arrays nzb_local and nzb_tmp. Thereby, topography definition for single
	50	! buildings and street canyons has changed, as well as flag setting for
	51	! multigrid scheme.
	52	!
	53	! Bugfix in checking l_grid anisotropy.
	54	! Simplify initial computation of lwall and vertical_influence, i.e. remove
	55	! nzb_s_inner as it is still zero at this point.
[1932]	56	!
[1943]	57	! 1942 2016-06-14 12:18:18Z suehring
	58	! Topography filter implemented to fill holes resolved by only one grid point.
	59	! Initialization of flags for ws-scheme moved to advec_ws.
	60	!
[1932]	61	! 1931 2016-06-10 12:06:59Z suehring
	62	! Rename multigrid into multigrid_noopt and multigrid_fast into multigrid
	63	!
[1911]	64	! 1910 2016-05-26 06:49:46Z raasch
	65	! Bugfix: if topography is read from file, Neumann conditions are used for the
	66	! nzb_local array (instead of cyclic conditions) in case that non-cyclic
	67	! boundary conditions are switched on for the run
	68	!
[1903]	69	! 1902 2016-05-09 11:18:56Z suehring
[1910]	70	! Set topography flags for multigrid solver only (not for multigrid_fast)
[1903]	71	!
[1887]	72	! 1886 2016-04-21 11:20:47Z suehring
	73	! Bugfix: setting advection flags near walls
	74	! reformulated index values for nzb_v_inner
	75	! variable discriptions added in declaration block
	76	!
[1846]	77	! 1845 2016-04-08 08:29:13Z raasch
	78	! nzb_2d removed
	79	!
[1805]	80	! 1804 2016-04-05 16:30:18Z maronga
	81	! Removed code for parameter file check (__check)
	82	!
[1780]	83	! 1779 2016-03-03 08:01:28Z raasch
	84	! coupling_char is trimmed at every place it occurs, because it can have
	85	! different length now
	86	!
[1763]	87	! 1762 2016-02-25 12:31:13Z hellstea
	88	! Introduction of nested domain feature
	89	!
[1744]	90	! 1743 2016-01-13 10:23:51Z raasch
	91	! Bugfix for calculation of nzb_s_outer and nzb_u_outer at north boundary of
	92	! total domain
	93	!
[1692]	94	! 1691 2015-10-26 16:17:44Z maronga
	95	! Renamed prandtl_layer to constant_flux_layer.
	96	!
[1683]	97	! 1682 2015-10-07 23:56:08Z knoop
	98	! Code annotations made doxygen readable
	99	!
[1678]	100	! 1677 2015-10-02 13:25:23Z boeske
	101	! Bugfix: Ghost points are included in wall_flags_0 and wall_flags_00
	102	!
[1676]	103	! 1675 2015-10-02 08:28:59Z gronemeier
	104	! Bugfix: Definition of topography grid levels
	105	!
[1662]	106	! 1660 2015-09-21 08:15:16Z gronemeier
	107	! Bugfix: Definition of topography grid levels if vertical grid stretching
	108	! starts below the maximum topography height.
	109	!
[1581]	110	! 1580 2015-04-10 13:43:49Z suehring
	111	! Bugfix: setting flags for 5th order scheme near buildings
	112	!
[1576]	113	! 1575 2015-03-27 09:56:27Z raasch
	114	! adjustments for psolver-queries
	115	!
[1558]	116	! 1557 2015-03-05 16:43:04Z suehring
	117	! Adjustment for monotoinic limiter
	118	!
[1419]	119	! 1418 2014-06-06 13:05:08Z fricke
	120	! Bugfix: Change if-condition for stretched grid in the ocean, with the old
	121	! condition and a negative value for dz_stretch_level the condition
	122	! was always true for the whole model domain
	123	!
[1410]	124	! 1409 2014-05-23 12:11:32Z suehring
	125	! Bugfix: set wall_flags_0 at inflow and outflow boundary also for i <= nxlu
	126	! j <= nysv
	127	!
[1354]	128	! 1353 2014-04-08 15:21:23Z heinze
	129	! REAL constants provided with KIND-attribute
	130	!
[1323]	131	! 1322 2014-03-20 16:38:49Z raasch
	132	! REAL constants defined as wp-kind
	133	!
[1321]	134	! 1320 2014-03-20 08:40:49Z raasch
[1320]	135	! ONLY-attribute added to USE-statements,
	136	! kind-parameters added to all INTEGER and REAL declaration statements,
	137	! kinds are defined in new module kinds,
	138	! revision history before 2012 removed,
	139	! comment fields (!:) to be used for variable explanations added to
	140	! all variable declaration statements
[1321]	141	!
[1222]	142	! 1221 2013-09-10 08:59:13Z raasch
	143	! wall_flags_00 introduced to hold bits 32-63,
	144	! additional 3D-flag arrays for replacing the 2D-index array nzb_s_inner in
	145	! loops optimized for openACC (pres + flow_statistics)
	146	!
[1093]	147	! 1092 2013-02-02 11:24:22Z raasch
	148	! unused variables removed
	149	!
[1070]	150	! 1069 2012-11-28 16:18:43Z maronga
[1779]	151	! bugfix: added coupling_char to TOPOGRAPHY_DATA to allow topography in the
	152	! ocean model in case of coupled runs
[1070]	153	!
[1037]	154	! 1036 2012-10-22 13:43:42Z raasch
	155	! code put under GPL (PALM 3.9)
	156	!
[1017]	157	! 1015 2012-09-27 09:23:24Z raasch
	158	! lower index for calculating wall_flags_0 set to nzb_w_inner instead of
	159	! nzb_w_inner+1
	160	!
[997]	161	! 996 2012-09-07 10:41:47Z raasch
	162	! little reformatting
	163	!
[979]	164	! 978 2012-08-09 08:28:32Z fricke
	165	! Bugfix: nzb_max is set to nzt at non-cyclic lateral boundaries
	166	! Bugfix: Set wall_flags_0 for inflow boundary
	167	!
[928]	168	! 927 2012-06-06 19:15:04Z raasch
	169	! Wall flags are not set for multigrid method in case of masking method
	170	!
[865]	171	! 864 2012-03-27 15:10:33Z gryschka
[927]	172	! In case of ocean and Dirichlet bottom bc for u and v dzu_mg and ddzu_pres
	173	! were not correctly defined for k=1.
[865]	174	!
[863]	175	! 861 2012-03-26 14:18:34Z suehring
[861]	176	! Set wall_flags_0. The array is needed for degradation in ws-scheme near walls,
	177	! inflow and outflow boundaries as well as near the bottom and the top of the
[863]	178	! model domain.!
[861]	179	! Initialization of nzb_s_inner and nzb_w_inner.
	180	! gls has to be at least nbgp to do not exceed the array bounds of nzb_local
	181	! while setting wall_flags_0
	182	!
[844]	183	! 843 2012-02-29 15:16:21Z gryschka
	184	! In case of ocean and dirichlet bc for u and v at the bottom
	185	! the first u-level ist defined at same height as the first w-level
	186	!
[819]	187	! 818 2012-02-08 16:11:23Z maronga
	188	! Bugfix: topo_height is only required if topography is used. It is thus now
	189	! allocated in the topography branch
	190	!
[810]	191	! 809 2012-01-30 13:32:58Z maronga
	192	! Bugfix: replaced .AND. and .NOT. with && and ! in the preprocessor directives
	193	!
[808]	194	! 807 2012-01-25 11:53:51Z maronga
	195	! New cpp directive "__check" implemented which is used by check_namelist_files
	196	!
[1]	197	! Revision 1.1 1997/08/11 06:17:45 raasch
	198	! Initial revision (Testversion)
	199	!
	200	!
	201	! Description:
	202	! ------------
[1682]	203	!> Creating grid depending constants
[1]	204	!------------------------------------------------------------------------------!
[1682]	205	SUBROUTINE init_grid
	206
[1942]	207	USE advec_ws, &
	208	ONLY: ws_init_flags
[1]	209
[1320]	210	USE arrays_3d, &
	211	ONLY: dd2zu, ddzu, ddzu_pres, ddzw, dzu, dzu_mg, dzw, dzw_mg, f1_mg, &
	212	f2_mg, f3_mg, l_grid, l_wall, zu, zw
	213
[1353]	214	USE control_parameters, &
[1910]	215	ONLY: bc_lr_cyc, bc_ns_cyc, building_height, building_length_x, &
[1320]	216	building_length_y, building_wall_left, building_wall_south, &
	217	canyon_height, canyon_wall_left, canyon_wall_south, &
[1691]	218	canyon_width_x, canyon_width_y, constant_flux_layer, &
	219	coupling_char, dp_level_ind_b, dz, dz_max, dz_stretch_factor, &
[1968]	220	dz_stretch_level, dz_stretch_level_index, grid_level, ibc_uv_b, &
	221	io_blocks, io_group, inflow_l, inflow_n, inflow_r, inflow_s, &
[1691]	222	masking_method, maximum_grid_level, message_string, &
[2021]	223	momentum_advec, nest_domain, nest_bound_l, nest_bound_n, &
	224	nest_bound_r, nest_bound_s, ocean, outflow_l, outflow_n, &
[1762]	225	outflow_r, outflow_s, psolver, scalar_advec, topography, &
[1691]	226	topography_grid_convention, use_surface_fluxes, use_top_fluxes, &
[2021]	227	wall_adjustment_factor
	228
[1320]	229	USE grid_variables, &
[2037]	230	ONLY: ddx, ddx2, ddy, ddy2, dx, dx2, dy, dy2, fwxm, &
[1320]	231	fwxp, fwym, fwyp, fxm, fxp, fym, fyp, wall_e_x, wall_e_y, &
	232	wall_u, wall_v, wall_w_x, wall_w_y, zu_s_inner, zw_w_inner
	233
	234	USE indices, &
[1942]	235	ONLY: flags, nbgp, nx, nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, &
	236	ny, nyn, nyng, nyn_mg, nys, nys_mg, nysg, nz, nzb, &
[1845]	237	nzb_diff, nzb_diff_s_inner, nzb_diff_s_outer, nzb_diff_u, &
	238	nzb_diff_v, nzb_max, nzb_s_inner, nzb_s_outer, nzb_u_inner, &
	239	nzb_u_outer, nzb_v_inner, nzb_v_outer, nzb_w_inner, &
	240	nzb_w_outer, nzt, nzt_diff, nzt_mg, rflags_invers, &
[1320]	241	rflags_s_inner, wall_flags_0, wall_flags_00, wall_flags_1, &
	242	wall_flags_10, wall_flags_2, wall_flags_3, wall_flags_4, &
	243	wall_flags_5, wall_flags_6, wall_flags_7, wall_flags_8, &
	244	wall_flags_9
	245
	246	USE kinds
	247
[1]	248	USE pegrid
	249
	250	IMPLICIT NONE
	251
[1968]	252	INTEGER(iwp) :: bh !< temporary vertical index of building height
	253	INTEGER(iwp) :: blx !< grid point number of building size along x
	254	INTEGER(iwp) :: bly !< grid point number of building size along y
	255	INTEGER(iwp) :: bxl !< index for left building wall
	256	INTEGER(iwp) :: bxr !< index for right building wall
	257	INTEGER(iwp) :: byn !< index for north building wall
	258	INTEGER(iwp) :: bys !< index for south building wall
	259	INTEGER(iwp) :: ch !< temporary vertical index for canyon height
	260	INTEGER(iwp) :: cwx !< grid point number of canyon size along x
	261	INTEGER(iwp) :: cwy !< grid point number of canyon size along y
	262	INTEGER(iwp) :: cxl !< index for left canyon wall
	263	INTEGER(iwp) :: cxr !< index for right canyon wall
	264	INTEGER(iwp) :: cyn !< index for north canyon wall
	265	INTEGER(iwp) :: cys !< index for south canyon wall
	266	INTEGER(iwp) :: i !< index variable along x
	267	INTEGER(iwp) :: ii !< loop variable for reading topography file
	268	INTEGER(iwp) :: inc !< incremental parameter for coarsening grid level
	269	INTEGER(iwp) :: j !< index variable along y
	270	INTEGER(iwp) :: k !< index variable along z
	271	INTEGER(iwp) :: l !< loop variable
	272	INTEGER(iwp) :: nxl_l !< index of left PE boundary for multigrid level
	273	INTEGER(iwp) :: nxr_l !< index of right PE boundary for multigrid level
	274	INTEGER(iwp) :: nyn_l !< index of north PE boundary for multigrid level
	275	INTEGER(iwp) :: nys_l !< index of south PE boundary for multigrid level
	276	INTEGER(iwp) :: nzb_local_max !< vertical grid index of maximum topography height
	277	INTEGER(iwp) :: nzb_local_min !< vertical grid index of minimum topography height
	278	INTEGER(iwp) :: nzb_si !< dummy index for local nzb_s_inner
	279	INTEGER(iwp) :: nzt_l !< index of top PE boundary for multigrid level
	280	INTEGER(iwp) :: num_hole !< number of holes (in topography) resolved by only one grid point
	281	INTEGER(iwp) :: num_hole_l !< number of holes (in topography) resolved by only one grid point on local PE
	282	INTEGER(iwp) :: num_wall !< number of surrounding vertical walls for a single grid point
	283	INTEGER(iwp) :: skip_n_rows !< counting variable to skip rows while reading topography file
	284	INTEGER(iwp) :: vi !< dummy for vertical influence
[1]	285
[1886]	286	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: &
[1931]	287	vertical_influence !< number of vertical grid points above obstacle where adjustment of near-wall mixing length is required
[1886]	288
[1968]	289	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_nl !< index of north-left corner location to limit near-wall mixing length
	290	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_nr !< north-right
	291	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_sl !< south-left
	292	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_sr !< south-right
	293	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_local !< index for topography top at cell-center
	294	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_tmp !< dummy to calculate topography indices on u- and v-grid
	295	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_l !< distance to adjacent left-facing wall
	296	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_n !< north-facing
	297	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_r !< right-facing
	298	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_s !< right-facing
[1]	299
[1968]	300	REAL(wp) :: dum !< dummy variable to skip columns while reading topography file
[1886]	301	REAL(wp) :: dz_stretched !< stretched vertical grid spacing
[861]	302
[1968]	303	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: topo_height !< input variable for topography height
	304	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zu_s_inner_l !< dummy array on global scale to write topography output array
	305	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zw_w_inner_l !< dummy array on global scale to write topography output array
[1]	306
[667]	307
[1]	308	!
[709]	309	!-- Calculation of horizontal array bounds including ghost layers
[667]	310	nxlg = nxl - nbgp
	311	nxrg = nxr + nbgp
	312	nysg = nys - nbgp
	313	nyng = nyn + nbgp
[709]	314
[667]	315	!
[1]	316	!-- Allocate grid arrays
[1353]	317	ALLOCATE( ddzu(1:nzt+1), ddzw(1:nzt+1), dd2zu(1:nzt), dzu(1:nzt+1), &
[667]	318	dzw(1:nzt+1), l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1) )
[1]	319
	320	!
	321	!-- Compute height of u-levels from constant grid length and dz stretch factors
[1353]	322	IF ( dz == -1.0_wp ) THEN
[254]	323	message_string = 'missing dz'
	324	CALL message( 'init_grid', 'PA0200', 1, 2, 0, 6, 0 )
[1353]	325	ELSEIF ( dz <= 0.0_wp ) THEN
[254]	326	WRITE( message_string, * ) 'dz=',dz,' <= 0.0'
	327	CALL message( 'init_grid', 'PA0201', 1, 2, 0, 6, 0 )
[1]	328	ENDIF
[94]	329
[1]	330	!
[94]	331	!-- Define the vertical grid levels
	332	IF ( .NOT. ocean ) THEN
	333	!
	334	!-- Grid for atmosphere with surface at z=0 (k=0, w-grid).
[843]	335	!-- The second u-level (k=1) corresponds to the top of the
[94]	336	!-- Prandtl-layer.
[667]	337
	338	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
[1353]	339	zu(0) = 0.0_wp
	340	! zu(0) = - dz * 0.5_wp
[667]	341	ELSE
[1353]	342	zu(0) = - dz * 0.5_wp
[667]	343	ENDIF
[1353]	344	zu(1) = dz * 0.5_wp
[1]	345
[94]	346	dz_stretch_level_index = nzt+1
	347	dz_stretched = dz
	348	DO k = 2, nzt+1
	349	IF ( dz_stretch_level <= zu(k-1) .AND. dz_stretched < dz_max ) THEN
	350	dz_stretched = dz_stretched * dz_stretch_factor
	351	dz_stretched = MIN( dz_stretched, dz_max )
	352	IF ( dz_stretch_level_index == nzt+1 ) dz_stretch_level_index = k-1
	353	ENDIF
	354	zu(k) = zu(k-1) + dz_stretched
	355	ENDDO
[1]	356
	357	!
[94]	358	!-- Compute the w-levels. They are always staggered half-way between the
[843]	359	!-- corresponding u-levels. In case of dirichlet bc for u and v at the
	360	!-- ground the first u- and w-level (k=0) are defined at same height (z=0).
	361	!-- The top w-level is extrapolated linearly.
[1353]	362	zw(0) = 0.0_wp
[94]	363	DO k = 1, nzt
[1353]	364	zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp
[94]	365	ENDDO
[1353]	366	zw(nzt+1) = zw(nzt) + 2.0_wp * ( zu(nzt+1) - zw(nzt) )
[1]	367
[94]	368	ELSE
[1]	369	!
[843]	370	!-- Grid for ocean with free water surface is at k=nzt (w-grid).
	371	!-- In case of neumann bc at the ground the first first u-level (k=0) lies
	372	!-- below the first w-level (k=0). In case of dirichlet bc the first u- and
	373	!-- w-level are defined at same height, but staggered from the second level.
	374	!-- The second u-level (k=1) corresponds to the top of the Prandtl-layer.
[1353]	375	zu(nzt+1) = dz * 0.5_wp
	376	zu(nzt) = - dz * 0.5_wp
[94]	377
	378	dz_stretch_level_index = 0
	379	dz_stretched = dz
	380	DO k = nzt-1, 0, -1
[1418]	381	!
	382	!-- The default value of dz_stretch_level is positive, thus the first
	383	!-- condition is always true. Hence, the second condition is necessary.
	384	IF ( dz_stretch_level >= zu(k+1) .AND. dz_stretch_level <= 0.0 &
	385	.AND. dz_stretched < dz_max ) THEN
[94]	386	dz_stretched = dz_stretched * dz_stretch_factor
	387	dz_stretched = MIN( dz_stretched, dz_max )
	388	IF ( dz_stretch_level_index == 0 ) dz_stretch_level_index = k+1
	389	ENDIF
	390	zu(k) = zu(k+1) - dz_stretched
	391	ENDDO
	392
	393	!
	394	!-- Compute the w-levels. They are always staggered half-way between the
[843]	395	!-- corresponding u-levels, except in case of dirichlet bc for u and v
	396	!-- at the ground. In this case the first u- and w-level are defined at
	397	!-- same height. The top w-level (nzt+1) is not used but set for
	398	!-- consistency, since w and all scalar variables are defined up tp nzt+1.
[94]	399	zw(nzt+1) = dz
[1353]	400	zw(nzt) = 0.0_wp
[94]	401	DO k = 0, nzt
[1353]	402	zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp
[94]	403	ENDDO
	404
[843]	405	!
	406	!-- In case of dirichlet bc for u and v the first u- and w-level are defined
	407	!-- at same height.
	408	IF ( ibc_uv_b == 0 ) THEN
	409	zu(0) = zw(0)
	410	ENDIF
	411
[94]	412	ENDIF
	413
	414	!
[1]	415	!-- Compute grid lengths.
	416	DO k = 1, nzt+1
	417	dzu(k) = zu(k) - zu(k-1)
[1353]	418	ddzu(k) = 1.0_wp / dzu(k)
[1]	419	dzw(k) = zw(k) - zw(k-1)
[1353]	420	ddzw(k) = 1.0_wp / dzw(k)
[1]	421	ENDDO
	422
	423	DO k = 1, nzt
[1353]	424	dd2zu(k) = 1.0_wp / ( dzu(k) + dzu(k+1) )
[1]	425	ENDDO
[667]	426
	427	!
[709]	428	!-- The FFT- SOR-pressure solvers assume grid spacings of a staggered grid
	429	!-- everywhere. For the actual grid, the grid spacing at the lowest level
	430	!-- is only dz/2, but should be dz. Therefore, an additional array
	431	!-- containing with appropriate grid information is created for these
	432	!-- solvers.
[1575]	433	IF ( psolver(1:9) /= 'multigrid' ) THEN
[667]	434	ALLOCATE( ddzu_pres(1:nzt+1) )
	435	ddzu_pres = ddzu
[864]	436	ddzu_pres(1) = ddzu_pres(2) ! change for lowest level
[1]	437	ENDIF
	438
	439	!
	440	!-- Compute the reciprocal values of the horizontal grid lengths.
[1353]	441	ddx = 1.0_wp / dx
	442	ddy = 1.0_wp / dy
[1]	443	dx2 = dx * dx
	444	dy2 = dy * dy
[1353]	445	ddx2 = 1.0_wp / dx2
	446	ddy2 = 1.0_wp / dy2
[1]	447
	448	!
	449	!-- Compute the grid-dependent mixing length.
	450	DO k = 1, nzt
[1322]	451	l_grid(k) = ( dx * dy * dzw(k) )**0.33333333333333_wp
[1]	452	ENDDO
	453
	454	!
	455	!-- Allocate outer and inner index arrays for topography and set
[114]	456	!-- defaults.
[667]	457
[114]	458	ALLOCATE( corner_nl(nys:nyn,nxl:nxr), corner_nr(nys:nyn,nxl:nxr), &
	459	corner_sl(nys:nyn,nxl:nxr), corner_sr(nys:nyn,nxl:nxr), &
	460	wall_l(nys:nyn,nxl:nxr), wall_n(nys:nyn,nxl:nxr), &
[1968]	461	wall_r(nys:nyn,nxl:nxr), wall_s(nys:nyn,nxl:nxr) )
	462
[667]	463	ALLOCATE( fwxm(nysg:nyng,nxlg:nxrg), fwxp(nysg:nyng,nxlg:nxrg), &
	464	fwym(nysg:nyng,nxlg:nxrg), fwyp(nysg:nyng,nxlg:nxrg), &
	465	fxm(nysg:nyng,nxlg:nxrg), fxp(nysg:nyng,nxlg:nxrg), &
	466	fym(nysg:nyng,nxlg:nxrg), fyp(nysg:nyng,nxlg:nxrg), &
	467	nzb_s_inner(nysg:nyng,nxlg:nxrg), &
	468	nzb_s_outer(nysg:nyng,nxlg:nxrg), &
	469	nzb_u_inner(nysg:nyng,nxlg:nxrg), &
	470	nzb_u_outer(nysg:nyng,nxlg:nxrg), &
	471	nzb_v_inner(nysg:nyng,nxlg:nxrg), &
	472	nzb_v_outer(nysg:nyng,nxlg:nxrg), &
	473	nzb_w_inner(nysg:nyng,nxlg:nxrg), &
	474	nzb_w_outer(nysg:nyng,nxlg:nxrg), &
	475	nzb_diff_s_inner(nysg:nyng,nxlg:nxrg), &
	476	nzb_diff_s_outer(nysg:nyng,nxlg:nxrg), &
	477	nzb_diff_u(nysg:nyng,nxlg:nxrg), &
	478	nzb_diff_v(nysg:nyng,nxlg:nxrg), &
[1968]	479	nzb_local(nysg:nyng,nxlg:nxrg), &
	480	nzb_tmp(nysg:nyng,nxlg:nxrg), &
[1221]	481	rflags_s_inner(nzb:nzt+2,nysg:nyng,nxlg:nxrg), &
	482	rflags_invers(nysg:nyng,nxlg:nxrg,nzb:nzt+2), &
[667]	483	wall_e_x(nysg:nyng,nxlg:nxrg), &
	484	wall_e_y(nysg:nyng,nxlg:nxrg), &
	485	wall_u(nysg:nyng,nxlg:nxrg), &
	486	wall_v(nysg:nyng,nxlg:nxrg), &
	487	wall_w_x(nysg:nyng,nxlg:nxrg), &
	488	wall_w_y(nysg:nyng,nxlg:nxrg) )
[1]	489
	490
[667]	491
	492	ALLOCATE( l_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	493
[818]	494
[1]	495	nzb_s_inner = nzb; nzb_s_outer = nzb
	496	nzb_u_inner = nzb; nzb_u_outer = nzb
	497	nzb_v_inner = nzb; nzb_v_outer = nzb
	498	nzb_w_inner = nzb; nzb_w_outer = nzb
	499
[1353]	500	rflags_s_inner = 1.0_wp
	501	rflags_invers = 1.0_wp
[1221]	502
[1]	503	!
[19]	504	!-- Define vertical gridpoint from (or to) which on the usual finite difference
[1]	505	!-- form (which does not use surface fluxes) is applied
[1691]	506	IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN
[1]	507	nzb_diff = nzb + 2
	508	ELSE
	509	nzb_diff = nzb + 1
	510	ENDIF
[19]	511	IF ( use_top_fluxes ) THEN
	512	nzt_diff = nzt - 1
	513	ELSE
	514	nzt_diff = nzt
	515	ENDIF
[1]	516
	517	nzb_diff_s_inner = nzb_diff; nzb_diff_s_outer = nzb_diff
	518	nzb_diff_u = nzb_diff; nzb_diff_v = nzb_diff
	519
[1353]	520	wall_e_x = 0.0_wp; wall_e_y = 0.0_wp; wall_u = 0.0_wp; wall_v = 0.0_wp
	521	wall_w_x = 0.0_wp; wall_w_y = 0.0_wp
	522	fwxp = 1.0_wp; fwxm = 1.0_wp; fwyp = 1.0_wp; fwym = 1.0_wp
	523	fxp = 1.0_wp; fxm = 1.0_wp; fyp = 1.0_wp; fym = 1.0_wp
[1]	524
	525	!
	526	!-- Initialize near-wall mixing length l_wall only in the vertical direction
	527	!-- for the moment,
	528	!-- multiplication with wall_adjustment_factor near the end of this routine
	529	l_wall(nzb,:,:) = l_grid(1)
	530	DO k = nzb+1, nzt
	531	l_wall(k,:,:) = l_grid(k)
	532	ENDDO
	533	l_wall(nzt+1,:,:) = l_grid(nzt)
	534
	535	ALLOCATE ( vertical_influence(nzb:nzt) )
	536	DO k = 1, nzt
	537	vertical_influence(k) = MIN ( INT( l_grid(k) / &
[1353]	538	( wall_adjustment_factor * dzw(k) ) + 0.5_wp ), nzt - k )
[1]	539	ENDDO
	540
[1968]	541	DO k = 1, nzt
[1353]	542	IF ( l_grid(k) > 1.5_wp * dx * wall_adjustment_factor .OR. &
	543	l_grid(k) > 1.5_wp * dy * wall_adjustment_factor ) THEN
[254]	544	WRITE( message_string, * ) 'grid anisotropy exceeds ', &
	545	'threshold given by only local', &
	546	' &horizontal reduction of near_wall ', &
	547	'mixing length l_wall', &
	548	' &starting from height level k = ', k, '.'
	549	CALL message( 'init_grid', 'PA0202', 0, 1, 0, 6, 0 )
[1]	550	EXIT
	551	ENDIF
	552	ENDDO
	553	vertical_influence(0) = vertical_influence(1)
	554
[1968]	555	DO k = nzb + 1, nzb + vertical_influence(nzb)
	556	l_wall(k,:,:) = zu(k) - zw(nzb)
[1]	557	ENDDO
	558
	559	!
	560	!-- Set outer and inner index arrays for non-flat topography.
	561	!-- Here consistency checks concerning domain size and periodicity are
	562	!-- necessary.
	563	!-- Within this SELECT CASE structure only nzb_local is initialized
	564	!-- individually depending on the chosen topography type, all other index
	565	!-- arrays are initialized further below.
	566	SELECT CASE ( TRIM( topography ) )
	567
	568	CASE ( 'flat' )
	569	!
[555]	570	!-- nzb_local is required for the multigrid solver
	571	nzb_local = 0
[1]	572
	573	CASE ( 'single_building' )
	574	!
	575	!-- Single rectangular building, by default centered in the middle of the
	576	!-- total domain
	577	blx = NINT( building_length_x / dx )
	578	bly = NINT( building_length_y / dy )
[2088]	579	IF ( .NOT. ocean ) THEN
	580	bh = MINLOC( ABS( zw - building_height ), 1 ) - 1
	581	ELSE
	582	bh = MINLOC( ABS( zw - zw(0) - building_height ), 1 ) - 1
	583	ENDIF
	584
[1675]	585	IF ( ABS( zw(bh ) - building_height ) == &
	586	ABS( zw(bh+1) - building_height ) ) bh = bh + 1
[1]	587
[1322]	588	IF ( building_wall_left == 9999999.9_wp ) THEN
[1]	589	building_wall_left = ( nx + 1 - blx ) / 2 * dx
	590	ENDIF
	591	bxl = NINT( building_wall_left / dx )
	592	bxr = bxl + blx
	593
[1322]	594	IF ( building_wall_south == 9999999.9_wp ) THEN
[1]	595	building_wall_south = ( ny + 1 - bly ) / 2 * dy
	596	ENDIF
	597	bys = NINT( building_wall_south / dy )
	598	byn = bys + bly
	599
	600	!
	601	!-- Building size has to meet some requirements
	602	IF ( ( bxl < 1 ) .OR. ( bxr > nx-1 ) .OR. ( bxr < bxl+3 ) .OR. &
	603	( bys < 1 ) .OR. ( byn > ny-1 ) .OR. ( byn < bys+3 ) ) THEN
[274]	604	WRITE( message_string, * ) 'inconsistent building parameters:', &
	605	'& bxl=', bxl, 'bxr=', bxr, 'bys=', bys, &
	606	'byn=', byn, 'nx=', nx, 'ny=', ny
[254]	607	CALL message( 'init_grid', 'PA0203', 1, 2, 0, 6, 0 )
[1]	608	ENDIF
	609
	610	!
[1968]	611	!-- Define the building.
[1]	612	nzb_local = 0
[1968]	613	IF ( bxl <= nxr .AND. bxr >= nxl .AND. &
	614	bys <= nyn .AND. byn >= nys ) &
	615	nzb_local(MAX(nys,bys):MIN(nyn,byn),MAX(nxl,bxl):MIN(nxr,bxr)) = bh
[1]	616
[1994]	617	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	618
[240]	619	CASE ( 'single_street_canyon' )
	620	!
	621	!-- Single quasi-2D street canyon of infinite length in x or y direction.
	622	!-- The canyon is centered in the other direction by default.
[1322]	623	IF ( canyon_width_x /= 9999999.9_wp ) THEN
[240]	624	!
	625	!-- Street canyon in y direction
	626	cwx = NINT( canyon_width_x / dx )
[1322]	627	IF ( canyon_wall_left == 9999999.9_wp ) THEN
[240]	628	canyon_wall_left = ( nx + 1 - cwx ) / 2 * dx
	629	ENDIF
	630	cxl = NINT( canyon_wall_left / dx )
	631	cxr = cxl + cwx
	632
[1322]	633	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
[240]	634	!
	635	!-- Street canyon in x direction
	636	cwy = NINT( canyon_width_y / dy )
[1322]	637	IF ( canyon_wall_south == 9999999.9_wp ) THEN
[240]	638	canyon_wall_south = ( ny + 1 - cwy ) / 2 * dy
	639	ENDIF
	640	cys = NINT( canyon_wall_south / dy )
	641	cyn = cys + cwy
	642
	643	ELSE
[254]	644
	645	message_string = 'no street canyon width given'
	646	CALL message( 'init_grid', 'PA0204', 1, 2, 0, 6, 0 )
	647
[240]	648	ENDIF
	649
[2088]	650	IF ( .NOT. ocean ) THEN
	651	ch = MINLOC( ABS( zw - canyon_height ), 1 ) - 1
	652	ELSE
	653	ch = MINLOC( ABS( zw - zw(0) - canyon_height ), 1 ) - 1
	654	ENDIF
	655
[1675]	656	IF ( ABS( zw(ch ) - canyon_height ) == &
	657	ABS( zw(ch+1) - canyon_height ) ) ch = ch + 1
	658
[240]	659	dp_level_ind_b = ch
	660	!
	661	!-- Street canyon size has to meet some requirements
[1322]	662	IF ( canyon_width_x /= 9999999.9_wp ) THEN
[1353]	663	IF ( ( cxl < 1 ) .OR. ( cxr > nx-1 ) .OR. ( cwx < 3 ) .OR. &
[240]	664	( ch < 3 ) ) THEN
[1353]	665	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
	666	'&cxl=', cxl, 'cxr=', cxr, &
	667	'cwx=', cwx, &
[254]	668	'ch=', ch, 'nx=', nx, 'ny=', ny
	669	CALL message( 'init_grid', 'PA0205', 1, 2, 0, 6, 0 )
[240]	670	ENDIF
[1322]	671	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
[1353]	672	IF ( ( cys < 1 ) .OR. ( cyn > ny-1 ) .OR. ( cwy < 3 ) .OR. &
[240]	673	( ch < 3 ) ) THEN
[1353]	674	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
	675	'&cys=', cys, 'cyn=', cyn, &
	676	'cwy=', cwy, &
[254]	677	'ch=', ch, 'nx=', nx, 'ny=', ny
	678	CALL message( 'init_grid', 'PA0206', 1, 2, 0, 6, 0 )
[240]	679	ENDIF
	680	ENDIF
[1353]	681	IF ( canyon_width_x /= 9999999.9_wp .AND. &
	682	canyon_width_y /= 9999999.9_wp ) THEN
	683	message_string = 'inconsistent canyon parameters:' // &
	684	'&street canyon can only be oriented' // &
[254]	685	'&either in x- or in y-direction'
	686	CALL message( 'init_grid', 'PA0207', 1, 2, 0, 6, 0 )
[240]	687	ENDIF
	688
	689	nzb_local = ch
[1322]	690	IF ( canyon_width_x /= 9999999.9_wp ) THEN
[1968]	691	IF ( cxl <= nxr .AND. cxr >= nxl ) &
	692	nzb_local(:,MAX(nxl,cxl+1):MIN(nxr,cxr-1)) = 0
[1322]	693	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
[1968]	694	IF ( cys <= nyn .AND. cyn >= nys ) &
	695	nzb_local(MAX(nys,cys+1):MIN(nyn,cyn-1),:) = 0
[240]	696	ENDIF
	697
[1994]	698	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	699
[1]	700	CASE ( 'read_from_file' )
[759]	701
[1968]	702	ALLOCATE ( topo_height(nys:nyn,nxl:nxr) )
[818]	703
[759]	704	DO ii = 0, io_blocks-1
	705	IF ( ii == io_group ) THEN
	706
[1]	707	!
[759]	708	!-- Arbitrary irregular topography data in PALM format (exactly
	709	!-- matching the grid size and total domain size)
[1779]	710	OPEN( 90, FILE='TOPOGRAPHY_DATA'//TRIM( coupling_char ), &
	711	STATUS='OLD', FORM='FORMATTED', ERR=10 )
[1968]	712	!
	713	!-- Read topography PE-wise. Rows are read from nyn to nys, columns
	714	!-- are read from nxl to nxr. At first, ny-nyn rows need to be skipped.
	715	skip_n_rows = 0
	716	DO WHILE ( skip_n_rows < ny - nyn )
	717	READ( 90, * )
	718	skip_n_rows = skip_n_rows + 1
[759]	719	ENDDO
[1968]	720	!
	721	!-- Read data from nyn to nys and nxl to nxr. Therefore, skip
	722	!-- column until nxl-1 is reached
	723	DO j = nyn, nys, -1
	724	READ( 90, *, ERR=11, END=11 ) &
	725	( dum, i = 0, nxl-1 ), &
	726	( topo_height(j,i), i = nxl, nxr )
	727	ENDDO
[759]	728
	729	GOTO 12
	730
[1779]	731	10 message_string = 'file TOPOGRAPHY'//TRIM( coupling_char )// &
	732	' does not exist'
[759]	733	CALL message( 'init_grid', 'PA0208', 1, 2, 0, 6, 0 )
	734
[1779]	735	11 message_string = 'errors in file TOPOGRAPHY_DATA'// &
	736	TRIM( coupling_char )
[759]	737	CALL message( 'init_grid', 'PA0209', 1, 2, 0, 6, 0 )
	738
	739	12 CLOSE( 90 )
	740
	741	ENDIF
[1804]	742	#if defined( __parallel )
[759]	743	CALL MPI_BARRIER( comm2d, ierr )
	744	#endif
[559]	745	ENDDO
[759]	746
[1]	747	!
	748	!-- Calculate the index height of the topography
[1968]	749	nzb_local = 0
	750	DO i = nxl, nxr
	751	DO j = nys, nyn
[2128]	752	IF ( .NOT. ocean ) THEN
	753	nzb_local(j,i) = MINLOC( ABS( zw - topo_height(j,i) ), 1 ) - 1
	754	IF ( ABS( zw(nzb_local(j,i) ) - topo_height(j,i) ) == &
	755	ABS( zw(nzb_local(j,i)+1) - topo_height(j,i) ) ) &
	756	nzb_local(j,i) = nzb_local(j,i) + 1
	757	ELSE
	758	nzb_local(j,i) = MINLOC( ABS( zw - zw(0) &
	759	- topo_height(j,i) ), 1 ) - 1
	760	IF ( ABS( zw(nzb_local(j,i) ) - zw(0) &
	761	- topo_height(j,i) ) == &
	762	ABS( zw(nzb_local(j,i)+1) - zw(0) &
	763	- topo_height(j,i) ) ) &
	764	nzb_local(j,i) = nzb_local(j,i) + 1
	765	ENDIF
	766
[1]	767	ENDDO
	768	ENDDO
[818]	769
	770	DEALLOCATE ( topo_height )
[1942]	771	!
	772	!-- Filter topography, i.e. fill holes resolved by only one grid point.
	773	!-- Such holes are suspected to lead to velocity blow-ups as continuity
	774	!-- equation on discrete grid cannot be fulfilled in such case.
	775	!-- For now, check only for holes and fill them to the lowest height level
	776	!-- of the directly adjoining grid points along x- and y- direction.
	777	!-- Before checking for holes, set lateral boundary conditions for
	778	!-- topography. After hole-filling, boundary conditions must be set again!
[1968]	779	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	780
	781	IF ( .NOT. bc_ns_cyc ) THEN
	782	IF ( nys == 0 ) nzb_local(-1,:) = nzb_local(0,:)
	783	IF ( nyn == ny ) nzb_local(ny+1,:) = nzb_local(ny,:)
[1942]	784	ENDIF
[1910]	785
[1968]	786	IF ( .NOT. bc_lr_cyc ) THEN
	787	IF ( nxl == 0 ) nzb_local(:,-1) = nzb_local(:,0)
	788	IF ( nxr == nx ) nzb_local(:,nx+1) = nzb_local(:,nx)
[1942]	789	ENDIF
	790
[1968]	791	num_hole_l = 0
	792	DO i = nxl, nxr
	793	DO j = nys, nyn
[1942]	794
	795	num_wall = 0
	796
	797	IF ( nzb_local(j-1,i) > nzb_local(j,i) ) &
	798	num_wall = num_wall + 1
	799	IF ( nzb_local(j+1,i) > nzb_local(j,i) ) &
	800	num_wall = num_wall + 1
	801	IF ( nzb_local(j,i-1) > nzb_local(j,i) ) &
	802	num_wall = num_wall + 1
	803	IF ( nzb_local(j,i+1) > nzb_local(j,i) ) &
	804	num_wall = num_wall + 1
	805
	806	IF ( num_wall == 4 ) THEN
	807	nzb_local(j,i) = MIN( nzb_local(j-1,i), nzb_local(j+1,i), &
	808	nzb_local(j,i-1), nzb_local(j,i+1) )
[1968]	809	num_hole_l = num_hole_l + 1
[1942]	810	ENDIF
	811	ENDDO
	812	ENDDO
[114]	813	!
[1968]	814	!-- Count the total number of holes, required for informative message.
	815	#if defined( __parallel )
	816	CALL MPI_ALLREDUCE( num_hole_l, num_hole, 1, MPI_INTEGER, MPI_SUM, &
	817	comm2d, ierr )
	818	#else
	819	num_hole = num_hole_l
	820	#endif
	821	!
[1942]	822	!-- Create an informative message if any hole was removed.
[1968]	823	IF ( num_hole > 0 ) THEN
[1942]	824	WRITE( message_string, * ) num_hole, 'hole(s) resolved by only '//&
	825	'one grid point were filled'
	826	CALL message( 'init_grid', 'PA0430', 0, 0, 0, 6, 0 )
	827	ENDIF
	828	!
[1968]	829	!-- Exchange ghost-points, as well as add cyclic or Neumann boundary
	830	!-- conditions.
	831	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	832
	833	IF ( .NOT. bc_ns_cyc ) THEN
	834	IF ( nys == 0 ) nzb_local(-1,:) = nzb_local(0,:)
	835	IF ( nyn == ny ) nzb_local(ny+1,:) = nzb_local(ny,:)
[1910]	836	ENDIF
[667]	837
[1968]	838	IF ( .NOT. bc_lr_cyc ) THEN
	839	IF ( nxl == 0 ) nzb_local(:,-1) = nzb_local(:,0)
	840	IF ( nxr == nx ) nzb_local(:,nx+1) = nzb_local(:,nx)
[1910]	841	ENDIF
	842
[1]	843	CASE DEFAULT
	844	!
	845	!-- The DEFAULT case is reached either if the parameter topography
[217]	846	!-- contains a wrong character string or if the user has defined a special
[1]	847	!-- case in the user interface. There, the subroutine user_init_grid
	848	!-- checks which of these two conditions applies.
[1968]	849	CALL user_init_grid( nzb_local )
[1]	850
	851	END SELECT
	852	!
[861]	853	!-- Determine the maximum level of topography. Furthermore it is used for
	854	!-- steering the degradation of order of the applied advection scheme.
[978]	855	!-- In case of non-cyclic lateral boundaries, the order of the advection
[1968]	856	!-- scheme has to be reduced up to nzt (required at the lateral boundaries).
	857	#if defined( __parallel )
	858	CALL MPI_ALLREDUCE( MAXVAL( nzb_local ) + 1, nzb_max, 1, MPI_INTEGER, &
	859	MPI_MAX, comm2d, ierr )
	860	#else
[1677]	861	nzb_max = MAXVAL( nzb_local ) + 1
[1968]	862	#endif
[1353]	863	IF ( inflow_l .OR. outflow_l .OR. inflow_r .OR. outflow_r .OR. &
[1762]	864	inflow_n .OR. outflow_n .OR. inflow_s .OR. outflow_s .OR. &
	865	nest_domain ) &
	866	THEN
	867	nzb_max = nzt
[978]	868	ENDIF
	869
[861]	870	!
[1]	871	!-- Consistency checks and index array initialization are only required for
[217]	872	!-- non-flat topography, also the initialization of topography height arrays
[49]	873	!-- zu_s_inner and zw_w_inner
[1]	874	IF ( TRIM( topography ) /= 'flat' ) THEN
[1968]	875	#if defined( __parallel )
	876	CALL MPI_ALLREDUCE( MAXVAL( nzb_local ), nzb_local_max, 1, MPI_INTEGER, &
	877	MPI_MAX, comm2d, ierr )
[1982]	878	CALL MPI_ALLREDUCE( MINVAL( nzb_local ), nzb_local_min, 1, MPI_INTEGER, &
[1968]	879	MPI_MIN, comm2d, ierr )
	880	#else
	881	nzb_local_max = MAXVAL( nzb_local )
	882	nzb_local_min = MINVAL( nzb_local )
	883	#endif
[1982]	884
[1]	885	!
	886	!-- Consistency checks
[1968]	887	IF ( nzb_local_min < 0 .OR. nzb_local_max > nz + 1 ) THEN
[1353]	888	WRITE( message_string, * ) 'nzb_local values are outside the', &
	889	'model domain', &
[1968]	890	'&MINVAL( nzb_local ) = ', nzb_local_min, &
	891	'&MAXVAL( nzb_local ) = ', nzb_local_max
[254]	892	CALL message( 'init_grid', 'PA0210', 1, 2, 0, 6, 0 )
[1]	893	ENDIF
	894
[217]	895	IF ( topography_grid_convention == 'cell_edge' ) THEN
[134]	896	!
[217]	897	!-- The array nzb_local as defined using the 'cell_edge' convention
	898	!-- describes the actual total size of topography which is defined at the
	899	!-- cell edges where u=0 on the topography walls in x-direction and v=0
	900	!-- on the topography walls in y-direction. However, PALM uses individual
	901	!-- arrays nzb_u\|v\|w\|s_inner\|outer that are based on nzb_s_inner.
	902	!-- Therefore, the extent of topography in nzb_local is now reduced by
	903	!-- 1dx at the E topography walls and by 1dy at the N topography walls
[1968]	904	!-- to form the basis for nzb_s_inner.
	905	!-- Note, the reverse memory access (i-j instead of j-i) is absolutely
	906	!-- required at this point.
	907	DO j = nys+1, nyn+1
	908	DO i = nxl-1, nxr
[217]	909	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j,i+1) )
	910	ENDDO
[134]	911	ENDDO
[1968]	912	!
	913	!-- Exchange ghost points
	914	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	915
	916	DO i = nxl, nxr+1
	917	DO j = nys-1, nyn
[217]	918	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j+1,i) )
	919	ENDDO
[134]	920	ENDDO
[1968]	921	!
	922	!-- Exchange ghost points
	923	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
[217]	924	ENDIF
[1]	925	!
	926	!-- Initialize index arrays nzb_s_inner and nzb_w_inner
[1968]	927	nzb_s_inner = nzb_local
	928	nzb_w_inner = nzb_local
[1]	929
	930	!
	931	!-- Initialize remaining index arrays:
	932	!-- first pre-initialize them with nzb_s_inner...
	933	nzb_u_inner = nzb_s_inner
	934	nzb_u_outer = nzb_s_inner
	935	nzb_v_inner = nzb_s_inner
	936	nzb_v_outer = nzb_s_inner
	937	nzb_w_outer = nzb_s_inner
	938	nzb_s_outer = nzb_s_inner
	939
	940	!
	941	!-- ...then extend pre-initialized arrays in their according directions
	942	!-- based on nzb_local using nzb_tmp as a temporary global index array
	943
	944	!
	945	!-- nzb_s_outer:
	946	!-- extend nzb_local east-/westwards first, then north-/southwards
[1968]	947	nzb_tmp = nzb_local
	948	DO j = nys, nyn
	949	DO i = nxl, nxr
[1353]	950	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i), &
[1]	951	nzb_local(j,i+1) )
	952	ENDDO
	953	ENDDO
[1968]	954
	955	CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp )
	956
[1]	957	DO i = nxl, nxr
	958	DO j = nys, nyn
[1353]	959	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
[1]	960	nzb_tmp(j+1,i) )
	961	ENDDO
	962	!
	963	!-- non-cyclic boundary conditions (overwritten by call of
	964	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	965	IF ( nys == 0 ) THEN
	966	j = -1
	967	nzb_s_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
	968	ENDIF
[1743]	969	IF ( nyn == ny ) THEN
[1]	970	j = ny + 1
	971	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
	972	ENDIF
	973	ENDDO
	974	!
	975	!-- nzb_w_outer:
	976	!-- identical to nzb_s_outer
	977	nzb_w_outer = nzb_s_outer
	978
	979	!
	980	!-- nzb_u_inner:
	981	!-- extend nzb_local rightwards only
[1968]	982	nzb_tmp = nzb_local
	983	DO j = nys, nyn
	984	DO i = nxl, nxr
[1]	985	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i) )
	986	ENDDO
	987	ENDDO
[1968]	988
	989	CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp )
	990
	991	nzb_u_inner = nzb_tmp
[1]	992	!
	993	!-- nzb_u_outer:
	994	!-- extend current nzb_tmp (nzb_u_inner) north-/southwards
	995	DO i = nxl, nxr
	996	DO j = nys, nyn
[1353]	997	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
[1]	998	nzb_tmp(j+1,i) )
	999	ENDDO
	1000	!
	1001	!-- non-cyclic boundary conditions (overwritten by call of
	1002	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	1003	IF ( nys == 0 ) THEN
	1004	j = -1
	1005	nzb_u_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
	1006	ENDIF
[1743]	1007	IF ( nyn == ny ) THEN
[1]	1008	j = ny + 1
	1009	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
	1010	ENDIF
	1011	ENDDO
	1012
	1013	!
	1014	!-- nzb_v_inner:
	1015	!-- extend nzb_local northwards only
[1968]	1016	nzb_tmp = nzb_local
	1017	DO i = nxl, nxr
	1018	DO j = nys, nyn
[1]	1019	nzb_tmp(j,i) = MAX( nzb_local(j-1,i), nzb_local(j,i) )
	1020	ENDDO
	1021	ENDDO
[1968]	1022
	1023	CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp )
	1024	nzb_v_inner = nzb_tmp
[1]	1025
	1026	!
	1027	!-- nzb_v_outer:
	1028	!-- extend current nzb_tmp (nzb_v_inner) right-/leftwards
	1029	DO j = nys, nyn
	1030	DO i = nxl, nxr
[1353]	1031	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i), &
[1]	1032	nzb_tmp(j,i+1) )
	1033	ENDDO
	1034	!
	1035	!-- non-cyclic boundary conditions (overwritten by call of
	1036	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	1037	IF ( nxl == 0 ) THEN
	1038	i = -1
	1039	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i+1), nzb_tmp(j,i) )
	1040	ENDIF
	1041	IF ( nxr == nx ) THEN
	1042	i = nx + 1
	1043	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i) )
	1044	ENDIF
	1045	ENDDO
[1804]	1046
[1]	1047	!
	1048	!-- Exchange of lateral boundary values (parallel computers) and cyclic
	1049	!-- boundary conditions, if applicable.
	1050	!-- Since nzb_s_inner and nzb_w_inner are derived directly from nzb_local
	1051	!-- they do not require exchange and are not included here.
[1968]	1052	CALL exchange_horiz_2d_int( nzb_u_inner, nys, nyn, nxl, nxr, nbgp )
	1053	CALL exchange_horiz_2d_int( nzb_u_outer, nys, nyn, nxl, nxr, nbgp )
	1054	CALL exchange_horiz_2d_int( nzb_v_inner, nys, nyn, nxl, nxr, nbgp )
	1055	CALL exchange_horiz_2d_int( nzb_v_outer, nys, nyn, nxl, nxr, nbgp )
	1056	CALL exchange_horiz_2d_int( nzb_w_outer, nys, nyn, nxl, nxr, nbgp )
	1057	CALL exchange_horiz_2d_int( nzb_s_outer, nys, nyn, nxl, nxr, nbgp )
[1]	1058
[49]	1059	!
	1060	!-- Allocate and set the arrays containing the topography height
[1968]	1061	ALLOCATE( zu_s_inner(0:nx+1,0:ny+1), zw_w_inner(0:nx+1,0:ny+1), &
	1062	zu_s_inner_l(0:nx+1,0:ny+1), zw_w_inner_l(0:nx+1,0:ny+1) )
	1063
	1064	zu_s_inner = 0.0_wp
	1065	zw_w_inner = 0.0_wp
	1066	zu_s_inner_l = 0.0_wp
	1067	zw_w_inner_l = 0.0_wp
	1068
	1069	DO i = nxl, nxr
	1070	DO j = nys, nyn
	1071	zu_s_inner_l(i,j) = zu(nzb_local(j,i))
	1072	zw_w_inner_l(i,j) = zw(nzb_local(j,i))
	1073	ENDDO
	1074	ENDDO
	1075
	1076	#if defined( __parallel )
	1077	CALL MPI_REDUCE( zu_s_inner_l, zu_s_inner, (nx+2)*(ny+2), &
	1078	MPI_REAL, MPI_SUM, 0, comm2d, ierr )
	1079	CALL MPI_REDUCE( zw_w_inner_l, zw_w_inner, (nx+2)*(ny+2), &
	1080	MPI_REAL, MPI_SUM, 0, comm2d, ierr )
	1081	#else
	1082	zu_s_inner = zu_s_inner_l
	1083	zw_w_inner = zw_w_inner_l
	1084	#endif
[49]	1085
[1968]	1086	DEALLOCATE( zu_s_inner_l, zw_w_inner_l )
	1087	IF ( myid /= 0 ) DEALLOCATE( zu_s_inner, zw_w_inner )
[1221]	1088	!
[1968]	1089	!-- Set south and left ghost points, required for netcdf output
	1090	IF ( myid == 0 ) THEN
	1091	IF( bc_lr_cyc ) THEN
	1092	zu_s_inner(nx+1,:) = zu_s_inner(0,:)
	1093	zw_w_inner(nx+1,:) = zw_w_inner(0,:)
	1094	ELSE
	1095	zu_s_inner(nx+1,:) = zu_s_inner(nx,:)
	1096	zw_w_inner(nx+1,:) = zw_w_inner(nx,:)
	1097	ENDIF
	1098	IF( bc_ns_cyc ) THEN
	1099	zu_s_inner(:,ny+1) = zu_s_inner(:,0)
	1100	zw_w_inner(:,ny+1) = zw_w_inner(:,0)
	1101	ELSE
	1102	zu_s_inner(:,ny+1) = zu_s_inner(:,ny)
	1103	zw_w_inner(:,ny+1) = zw_w_inner(:,ny)
	1104	ENDIF
	1105	ENDIF
	1106	!
[1221]	1107	!-- Set flag arrays to be used for masking of grid points
	1108	DO i = nxlg, nxrg
	1109	DO j = nysg, nyng
	1110	DO k = nzb, nzt+1
[1353]	1111	IF ( k <= nzb_s_inner(j,i) ) rflags_s_inner(k,j,i) = 0.0_wp
	1112	IF ( k <= nzb_s_inner(j,i) ) rflags_invers(j,i,k) = 0.0_wp
[1221]	1113	ENDDO
	1114	ENDDO
	1115	ENDDO
[1804]	1116
[1]	1117	ENDIF
[1968]	1118	!
	1119	!-- Deallocate temporary array, as it might be reused for different
	1120	!-- grid-levels further below.
	1121	DEALLOCATE( nzb_tmp )
[1]	1122
	1123	!
	1124	!-- Set the individual index arrays which define the k index from which on
	1125	!-- the usual finite difference form (which does not use surface fluxes) is
	1126	!-- applied
[1691]	1127	IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN
[1]	1128	nzb_diff_u = nzb_u_inner + 2
	1129	nzb_diff_v = nzb_v_inner + 2
	1130	nzb_diff_s_inner = nzb_s_inner + 2
	1131	nzb_diff_s_outer = nzb_s_outer + 2
	1132	ELSE
	1133	nzb_diff_u = nzb_u_inner + 1
	1134	nzb_diff_v = nzb_v_inner + 1
	1135	nzb_diff_s_inner = nzb_s_inner + 1
	1136	nzb_diff_s_outer = nzb_s_outer + 1
	1137	ENDIF
	1138
	1139	!
	1140	!-- Calculation of wall switches and factors required by diffusion_u/v.f90 and
	1141	!-- for limitation of near-wall mixing length l_wall further below
	1142	corner_nl = 0
	1143	corner_nr = 0
	1144	corner_sl = 0
	1145	corner_sr = 0
	1146	wall_l = 0
	1147	wall_n = 0
	1148	wall_r = 0
	1149	wall_s = 0
	1150
	1151	DO i = nxl, nxr
	1152	DO j = nys, nyn
	1153	!
	1154	!-- u-component
	1155	IF ( nzb_u_outer(j,i) > nzb_u_outer(j+1,i) ) THEN
[1353]	1156	wall_u(j,i) = 1.0_wp ! north wall (location of adjacent fluid)
	1157	fym(j,i) = 0.0_wp
	1158	fyp(j,i) = 1.0_wp
[1]	1159	ELSEIF ( nzb_u_outer(j,i) > nzb_u_outer(j-1,i) ) THEN
[1353]	1160	wall_u(j,i) = 1.0_wp ! south wall (location of adjacent fluid)
	1161	fym(j,i) = 1.0_wp
	1162	fyp(j,i) = 0.0_wp
[1]	1163	ENDIF
	1164	!
	1165	!-- v-component
	1166	IF ( nzb_v_outer(j,i) > nzb_v_outer(j,i+1) ) THEN
[1353]	1167	wall_v(j,i) = 1.0_wp ! rigth wall (location of adjacent fluid)
	1168	fxm(j,i) = 0.0_wp
	1169	fxp(j,i) = 1.0_wp
[1]	1170	ELSEIF ( nzb_v_outer(j,i) > nzb_v_outer(j,i-1) ) THEN
[1353]	1171	wall_v(j,i) = 1.0_wp ! left wall (location of adjacent fluid)
	1172	fxm(j,i) = 1.0_wp
	1173	fxp(j,i) = 0.0_wp
[1]	1174	ENDIF
	1175	!
	1176	!-- w-component, also used for scalars, separate arrays for shear
	1177	!-- production of tke
	1178	IF ( nzb_w_outer(j,i) > nzb_w_outer(j+1,i) ) THEN
[1353]	1179	wall_e_y(j,i) = 1.0_wp ! north wall (location of adjacent fluid)
	1180	wall_w_y(j,i) = 1.0_wp
	1181	fwym(j,i) = 0.0_wp
	1182	fwyp(j,i) = 1.0_wp
[1]	1183	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j-1,i) ) THEN
[1353]	1184	wall_e_y(j,i) = -1.0_wp ! south wall (location of adjacent fluid)
	1185	wall_w_y(j,i) = 1.0_wp
	1186	fwym(j,i) = 1.0_wp
	1187	fwyp(j,i) = 0.0_wp
[1]	1188	ENDIF
	1189	IF ( nzb_w_outer(j,i) > nzb_w_outer(j,i+1) ) THEN
[1353]	1190	wall_e_x(j,i) = 1.0_wp ! right wall (location of adjacent fluid)
	1191	wall_w_x(j,i) = 1.0_wp
	1192	fwxm(j,i) = 0.0_wp
	1193	fwxp(j,i) = 1.0_wp
[1]	1194	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j,i-1) ) THEN
[1353]	1195	wall_e_x(j,i) = -1.0_wp ! left wall (location of adjacent fluid)
	1196	wall_w_x(j,i) = 1.0_wp
	1197	fwxm(j,i) = 1.0_wp
	1198	fwxp(j,i) = 0.0_wp
[1]	1199	ENDIF
	1200	!
	1201	!-- Wall and corner locations inside buildings for limitation of
	1202	!-- near-wall mixing length l_wall
	1203	IF ( nzb_s_inner(j,i) > nzb_s_inner(j+1,i) ) THEN
	1204
	1205	wall_n(j,i) = nzb_s_inner(j+1,i) + 1 ! North wall
	1206
	1207	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	1208	corner_nl(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northleft corner
	1209	nzb_s_inner(j,i-1) ) + 1
	1210	ENDIF
	1211
	1212	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	1213	corner_nr(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northright corner
	1214	nzb_s_inner(j,i+1) ) + 1
	1215	ENDIF
	1216
	1217	ENDIF
	1218
	1219	IF ( nzb_s_inner(j,i) > nzb_s_inner(j-1,i) ) THEN
	1220
	1221	wall_s(j,i) = nzb_s_inner(j-1,i) + 1 ! South wall
	1222	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	1223	corner_sl(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southleft corner
	1224	nzb_s_inner(j,i-1) ) + 1
	1225	ENDIF
	1226
	1227	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	1228	corner_sr(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southright corner
	1229	nzb_s_inner(j,i+1) ) + 1
	1230	ENDIF
	1231
	1232	ENDIF
	1233
	1234	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	1235	wall_l(j,i) = nzb_s_inner(j,i-1) + 1 ! Left wall
	1236	ENDIF
	1237
	1238	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	1239	wall_r(j,i) = nzb_s_inner(j,i+1) + 1 ! Right wall
	1240	ENDIF
	1241
	1242	ENDDO
	1243	ENDDO
	1244	!
[1931]	1245	!-- Calculate wall flag arrays for the multigrid method.
	1246	!-- Please note, wall flags are only applied in the not cache-optimized
	1247	!-- version.
	1248	IF ( psolver == 'multigrid_noopt' ) THEN
[1968]	1249
[114]	1250	!
[1968]	1251	!-- Gridpoint increment of the current level.
[114]	1252	inc = 1
	1253	DO l = maximum_grid_level, 1 , -1
[1968]	1254	!
	1255	!-- Set grid_level as it is required for exchange_horiz_2d_int
	1256	grid_level = l
[114]	1257
	1258	nxl_l = nxl_mg(l)
	1259	nxr_l = nxr_mg(l)
	1260	nys_l = nys_mg(l)
	1261	nyn_l = nyn_mg(l)
	1262	nzt_l = nzt_mg(l)
	1263	!
	1264	!-- Assign the flag level to be calculated
	1265	SELECT CASE ( l )
	1266	CASE ( 1 )
	1267	flags => wall_flags_1
	1268	CASE ( 2 )
	1269	flags => wall_flags_2
	1270	CASE ( 3 )
	1271	flags => wall_flags_3
	1272	CASE ( 4 )
	1273	flags => wall_flags_4
	1274	CASE ( 5 )
	1275	flags => wall_flags_5
	1276	CASE ( 6 )
	1277	flags => wall_flags_6
	1278	CASE ( 7 )
	1279	flags => wall_flags_7
	1280	CASE ( 8 )
	1281	flags => wall_flags_8
	1282	CASE ( 9 )
	1283	flags => wall_flags_9
	1284	CASE ( 10 )
	1285	flags => wall_flags_10
	1286	END SELECT
	1287
	1288	!
	1289	!-- Depending on the grid level, set the respective bits in case of
	1290	!-- neighbouring walls
	1291	!-- Bit 0: wall to the bottom
	1292	!-- Bit 1: wall to the top (not realized in remaining PALM code so far)
	1293	!-- Bit 2: wall to the south
	1294	!-- Bit 3: wall to the north
	1295	!-- Bit 4: wall to the left
	1296	!-- Bit 5: wall to the right
[116]	1297	!-- Bit 6: inside building
[114]	1298
	1299	flags = 0
	1300
[927]	1301	!
	1302	!-- In case of masking method, flags are not set and multigrid method
	1303	!-- works like FFT-solver
[1931]	1304	IF ( .NOT. masking_method ) THEN
[927]	1305
[1968]	1306	!
	1307	!-- Allocate temporary array for topography heights on coarser grid
	1308	!-- level. Please note, 2 ghoist points are required, in order to
	1309	!-- calculate flags() on the interior ghost point.
	1310	ALLOCATE( nzb_tmp(nys_l-2:nyn_l+2,nxl_l-2:nxr_l+2) )
	1311	nzb_tmp = 0
	1312
	1313	DO i = nxl_l, nxr_l
	1314	DO j = nys_l, nyn_l
	1315	nzb_tmp(j,i) = nzb_local(jinc,iinc)
	1316	ENDDO
	1317	ENDDO
	1318	!
	1319	!-- Exchange ghost points on respective multigrid level. 2 ghost points
	1320	!-- are required, in order to calculate flags on
	1321	!-- nys_l-1 / nyn_l+1 / nxl_l-1 / nxr_l+1. The alternative would be to
	1322	!-- exchange 3D-INTEGER array flags on the respective multigrid level.
	1323	CALL exchange_horiz_2d_int( nzb_tmp, nys_l, nyn_l, nxl_l, nxr_l, 2 )
	1324	!
	1325	!-- Set non-cyclic boundary conditions on respective multigrid level
	1326	IF ( .NOT. bc_ns_cyc ) THEN
[2021]	1327	IF ( inflow_s .OR. outflow_s .OR. nest_bound_s ) THEN
[1968]	1328	nzb_tmp(-2,:) = nzb_tmp(0,:)
	1329	nzb_tmp(-1,:) = nzb_tmp(0,:)
	1330	ENDIF
[2021]	1331	IF ( inflow_n .OR. outflow_n .OR. nest_bound_n ) THEN
	1332	nzb_tmp(nyn_l+2,:) = nzb_tmp(nyn_l,:)
	1333	nzb_tmp(nyn_l+1,:) = nzb_tmp(nyn_l,:)
[1968]	1334	ENDIF
	1335	ENDIF
	1336	IF ( .NOT. bc_lr_cyc ) THEN
[2021]	1337	IF ( inflow_l .OR. outflow_l .OR. nest_bound_l ) THEN
[1968]	1338	nzb_tmp(:,-2) = nzb_tmp(:,0)
	1339	nzb_tmp(:,-1) = nzb_tmp(:,0)
	1340	ENDIF
[2021]	1341	IF ( inflow_r .OR. outflow_r .OR. nest_bound_r ) THEN
	1342	nzb_tmp(:,nxr_l+1) = nzb_tmp(:,nxr_l)
	1343	nzb_tmp(:,nxr_l+2) = nzb_tmp(:,nxr_l)
[1968]	1344	ENDIF
	1345	ENDIF
	1346
[927]	1347	DO i = nxl_l-1, nxr_l+1
	1348	DO j = nys_l-1, nyn_l+1
[1968]	1349	DO k = nzb, nzt_l+1
[114]	1350	!
[927]	1351	!-- Inside/outside building (inside building does not need
	1352	!-- further tests for walls)
[1968]	1353	IF ( k*inc <= nzb_tmp(j,i) ) THEN
[114]	1354
[927]	1355	flags(k,j,i) = IBSET( flags(k,j,i), 6 )
[114]	1356
[927]	1357	ELSE
[114]	1358	!
[927]	1359	!-- Bottom wall
[1968]	1360	IF ( (k-1)*inc <= nzb_tmp(j,i) ) THEN
[927]	1361	flags(k,j,i) = IBSET( flags(k,j,i), 0 )
	1362	ENDIF
[114]	1363	!
[927]	1364	!-- South wall
[1968]	1365	IF ( k*inc <= nzb_tmp(j-1,i) ) THEN
[927]	1366	flags(k,j,i) = IBSET( flags(k,j,i), 2 )
	1367	ENDIF
[114]	1368	!
[927]	1369	!-- North wall
[1968]	1370	IF ( k*inc <= nzb_tmp(j+1,i) ) THEN
[927]	1371	flags(k,j,i) = IBSET( flags(k,j,i), 3 )
	1372	ENDIF
[114]	1373	!
[927]	1374	!-- Left wall
[1968]	1375	IF ( k*inc <= nzb_tmp(j,i-1) ) THEN
[927]	1376	flags(k,j,i) = IBSET( flags(k,j,i), 4 )
	1377	ENDIF
[114]	1378	!
[927]	1379	!-- Right wall
[1968]	1380	IF ( k*inc <= nzb_tmp(j,i+1) ) THEN
[927]	1381	flags(k,j,i) = IBSET( flags(k,j,i), 5 )
	1382	ENDIF
	1383
[114]	1384	ENDIF
	1385
[927]	1386	ENDDO
[114]	1387	ENDDO
	1388	ENDDO
	1389
[1968]	1390	DEALLOCATE( nzb_tmp )
	1391
[927]	1392	ENDIF
	1393
[114]	1394	inc = inc * 2
	1395
	1396	ENDDO
[1968]	1397	!
	1398	!-- Reset grid_level to "normal" grid
	1399	grid_level = 0
	1400
[114]	1401	ENDIF
[861]	1402	!
[1942]	1403	!-- Allocate flags needed for masking walls. Even though these flags are only
[2021]	1404	!-- required in the ws-scheme, the arrays need to be allocated here as they are
[1942]	1405	!-- used in OpenACC directives.
[1677]	1406	ALLOCATE( wall_flags_0(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
	1407	wall_flags_00(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1221]	1408	wall_flags_0 = 0
	1409	wall_flags_00 = 0
[114]	1410	!
[2021]	1411	!-- Init flags for ws-scheme to degrade order of the numerics near walls, i.e.
	1412	!-- to decrease the numerical stencil appropriately.
[1942]	1413	IF ( momentum_advec == 'ws-scheme' .OR. scalar_advec == 'ws-scheme' .OR.&
	1414	scalar_advec == 'ws-scheme-mono' ) THEN
	1415	CALL ws_init_flags
[861]	1416	ENDIF
	1417
	1418	!
[1]	1419	!-- In case of topography: limit near-wall mixing length l_wall further:
	1420	!-- Go through all points of the subdomain one by one and look for the closest
	1421	!-- surface
	1422	IF ( TRIM(topography) /= 'flat' ) THEN
	1423	DO i = nxl, nxr
	1424	DO j = nys, nyn
	1425
	1426	nzb_si = nzb_s_inner(j,i)
	1427	vi = vertical_influence(nzb_si)
	1428
	1429	IF ( wall_n(j,i) > 0 ) THEN
	1430	!
	1431	!-- North wall (y distance)
	1432	DO k = wall_n(j,i), nzb_si
[1353]	1433	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), 0.5_wp * dy )
[1]	1434	ENDDO
	1435	!
	1436	!-- Above North wall (yz distance)
	1437	DO k = nzb_si + 1, nzb_si + vi
[1353]	1438	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), &
	1439	SQRT( 0.25_wp * dy**2 + &
[1]	1440	( zu(k) - zw(nzb_si) )**2 ) )
	1441	ENDDO
	1442	!
	1443	!-- Northleft corner (xy distance)
	1444	IF ( corner_nl(j,i) > 0 ) THEN
	1445	DO k = corner_nl(j,i), nzb_si
	1446	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
[1353]	1447	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1448	ENDDO
	1449	!
	1450	!-- Above Northleft corner (xyz distance)
	1451	DO k = nzb_si + 1, nzb_si + vi
[1353]	1452	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
	1453	SQRT( 0.25_wp * (dx2 + dy2) + &
	1454	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1455	ENDDO
	1456	ENDIF
	1457	!
	1458	!-- Northright corner (xy distance)
	1459	IF ( corner_nr(j,i) > 0 ) THEN
	1460	DO k = corner_nr(j,i), nzb_si
[1353]	1461	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
	1462	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1463	ENDDO
	1464	!
	1465	!-- Above northright corner (xyz distance)
	1466	DO k = nzb_si + 1, nzb_si + vi
[1353]	1467	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
	1468	SQRT( 0.25_wp * (dx2 + dy2) + &
	1469	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1470	ENDDO
	1471	ENDIF
	1472	ENDIF
	1473
	1474	IF ( wall_s(j,i) > 0 ) THEN
	1475	!
	1476	!-- South wall (y distance)
	1477	DO k = wall_s(j,i), nzb_si
[1353]	1478	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), 0.5_wp * dy )
[1]	1479	ENDDO
	1480	!
	1481	!-- Above south wall (yz distance)
[1353]	1482	DO k = nzb_si + 1, nzb_si + vi
	1483	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), &
	1484	SQRT( 0.25_wp * dy**2 + &
[1]	1485	( zu(k) - zw(nzb_si) )**2 ) )
	1486	ENDDO
	1487	!
	1488	!-- Southleft corner (xy distance)
	1489	IF ( corner_sl(j,i) > 0 ) THEN
	1490	DO k = corner_sl(j,i), nzb_si
[1353]	1491	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
	1492	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1493	ENDDO
	1494	!
	1495	!-- Above southleft corner (xyz distance)
	1496	DO k = nzb_si + 1, nzb_si + vi
[1353]	1497	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
	1498	SQRT( 0.25_wp * (dx2 + dy2) + &
	1499	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1500	ENDDO
	1501	ENDIF
	1502	!
	1503	!-- Southright corner (xy distance)
	1504	IF ( corner_sr(j,i) > 0 ) THEN
	1505	DO k = corner_sr(j,i), nzb_si
[1353]	1506	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
	1507	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1508	ENDDO
	1509	!
	1510	!-- Above southright corner (xyz distance)
	1511	DO k = nzb_si + 1, nzb_si + vi
[1353]	1512	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
	1513	SQRT( 0.25_wp * (dx2 + dy2) + &
	1514	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1515	ENDDO
	1516	ENDIF
	1517
	1518	ENDIF
	1519
	1520	IF ( wall_l(j,i) > 0 ) THEN
	1521	!
	1522	!-- Left wall (x distance)
	1523	DO k = wall_l(j,i), nzb_si
[1353]	1524	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), 0.5_wp * dx )
[1]	1525	ENDDO
	1526	!
	1527	!-- Above left wall (xz distance)
	1528	DO k = nzb_si + 1, nzb_si + vi
[1353]	1529	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), &
	1530	SQRT( 0.25_wp * dx**2 + &
	1531	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1532	ENDDO
	1533	ENDIF
	1534
	1535	IF ( wall_r(j,i) > 0 ) THEN
	1536	!
	1537	!-- Right wall (x distance)
	1538	DO k = wall_r(j,i), nzb_si
[1353]	1539	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), 0.5_wp * dx )
[1]	1540	ENDDO
	1541	!
	1542	!-- Above right wall (xz distance)
	1543	DO k = nzb_si + 1, nzb_si + vi
[1353]	1544	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), &
	1545	SQRT( 0.25_wp * dx**2 + &
[1]	1546	( zu(k) - zw(nzb_si) )**2 ) )
	1547	ENDDO
	1548
	1549	ENDIF
	1550
	1551	ENDDO
	1552	ENDDO
	1553
	1554	ENDIF
	1555
	1556	!
	1557	!-- Multiplication with wall_adjustment_factor
	1558	l_wall = wall_adjustment_factor * l_wall
	1559
	1560	!
[709]	1561	!-- Set lateral boundary conditions for l_wall
[667]	1562	CALL exchange_horiz( l_wall, nbgp )
	1563
[1]	1564	DEALLOCATE( corner_nl, corner_nr, corner_sl, corner_sr, nzb_local, &
[1968]	1565	vertical_influence, wall_l, wall_n, wall_r, wall_s )
[1]	1566
	1567
	1568	END SUBROUTINE init_grid

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