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source: palm/trunk/SOURCE/init_grid.f90 @ 2034

Last change on this file since 2034 was 2022, checked in by suehring, 8 years ago
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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	!
[1818]	17	! Copyright 1997-2016 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[254]	20	! Current revisions:
[1]	21	! -----------------
[1969]	22	!
[2022]	23	!
[1969]	24	! Former revisions:
	25	! -----------------
	26	! $Id: init_grid.f90 2022 2016-10-07 14:10:04Z gronemeier $
	27	!
[2022]	28	! 2021 2016-10-07 14:08:57Z suehring
	29	! Bugfix: setting Neumann boundary conditions for topography required for
	30	! topography flags in multigrid_noopt solver
	31	!
[2001]	32	! 2000 2016-08-20 18:09:15Z knoop
	33	! Forced header and separation lines into 80 columns
	34	!
[1995]	35	! 1994 2016-08-15 09:52:21Z suehring
	36	! Bugfix in definition of generic topography
	37	!
[1983]	38	! 1982 2016-08-01 11:04:48Z suehring
	39	! Bugfix concering consistency check for topography
	40	!
[1969]	41	! 1968 2016-07-18 12:01:49Z suehring
[1968]	42	! Changed: PE-wise reading of topography file in order to avoid global definition
	43	! of arrays nzb_local and nzb_tmp. Thereby, topography definition for single
	44	! buildings and street canyons has changed, as well as flag setting for
	45	! multigrid scheme.
	46	!
	47	! Bugfix in checking l_grid anisotropy.
	48	! Simplify initial computation of lwall and vertical_influence, i.e. remove
	49	! nzb_s_inner as it is still zero at this point.
[1932]	50	!
[1943]	51	! 1942 2016-06-14 12:18:18Z suehring
	52	! Topography filter implemented to fill holes resolved by only one grid point.
	53	! Initialization of flags for ws-scheme moved to advec_ws.
	54	!
[1932]	55	! 1931 2016-06-10 12:06:59Z suehring
	56	! Rename multigrid into multigrid_noopt and multigrid_fast into multigrid
	57	!
[1911]	58	! 1910 2016-05-26 06:49:46Z raasch
	59	! Bugfix: if topography is read from file, Neumann conditions are used for the
	60	! nzb_local array (instead of cyclic conditions) in case that non-cyclic
	61	! boundary conditions are switched on for the run
	62	!
[1903]	63	! 1902 2016-05-09 11:18:56Z suehring
[1910]	64	! Set topography flags for multigrid solver only (not for multigrid_fast)
[1903]	65	!
[1887]	66	! 1886 2016-04-21 11:20:47Z suehring
	67	! Bugfix: setting advection flags near walls
	68	! reformulated index values for nzb_v_inner
	69	! variable discriptions added in declaration block
	70	!
[1846]	71	! 1845 2016-04-08 08:29:13Z raasch
	72	! nzb_2d removed
	73	!
[1805]	74	! 1804 2016-04-05 16:30:18Z maronga
	75	! Removed code for parameter file check (__check)
	76	!
[1780]	77	! 1779 2016-03-03 08:01:28Z raasch
	78	! coupling_char is trimmed at every place it occurs, because it can have
	79	! different length now
	80	!
[1763]	81	! 1762 2016-02-25 12:31:13Z hellstea
	82	! Introduction of nested domain feature
	83	!
[1744]	84	! 1743 2016-01-13 10:23:51Z raasch
	85	! Bugfix for calculation of nzb_s_outer and nzb_u_outer at north boundary of
	86	! total domain
	87	!
[1692]	88	! 1691 2015-10-26 16:17:44Z maronga
	89	! Renamed prandtl_layer to constant_flux_layer.
	90	!
[1683]	91	! 1682 2015-10-07 23:56:08Z knoop
	92	! Code annotations made doxygen readable
	93	!
[1678]	94	! 1677 2015-10-02 13:25:23Z boeske
	95	! Bugfix: Ghost points are included in wall_flags_0 and wall_flags_00
	96	!
[1676]	97	! 1675 2015-10-02 08:28:59Z gronemeier
	98	! Bugfix: Definition of topography grid levels
	99	!
[1662]	100	! 1660 2015-09-21 08:15:16Z gronemeier
	101	! Bugfix: Definition of topography grid levels if vertical grid stretching
	102	! starts below the maximum topography height.
	103	!
[1581]	104	! 1580 2015-04-10 13:43:49Z suehring
	105	! Bugfix: setting flags for 5th order scheme near buildings
	106	!
[1576]	107	! 1575 2015-03-27 09:56:27Z raasch
	108	! adjustments for psolver-queries
	109	!
[1558]	110	! 1557 2015-03-05 16:43:04Z suehring
	111	! Adjustment for monotoinic limiter
	112	!
[1419]	113	! 1418 2014-06-06 13:05:08Z fricke
	114	! Bugfix: Change if-condition for stretched grid in the ocean, with the old
	115	! condition and a negative value for dz_stretch_level the condition
	116	! was always true for the whole model domain
	117	!
[1410]	118	! 1409 2014-05-23 12:11:32Z suehring
	119	! Bugfix: set wall_flags_0 at inflow and outflow boundary also for i <= nxlu
	120	! j <= nysv
	121	!
[1354]	122	! 1353 2014-04-08 15:21:23Z heinze
	123	! REAL constants provided with KIND-attribute
	124	!
[1323]	125	! 1322 2014-03-20 16:38:49Z raasch
	126	! REAL constants defined as wp-kind
	127	!
[1321]	128	! 1320 2014-03-20 08:40:49Z raasch
[1320]	129	! ONLY-attribute added to USE-statements,
	130	! kind-parameters added to all INTEGER and REAL declaration statements,
	131	! kinds are defined in new module kinds,
	132	! revision history before 2012 removed,
	133	! comment fields (!:) to be used for variable explanations added to
	134	! all variable declaration statements
[1321]	135	!
[1222]	136	! 1221 2013-09-10 08:59:13Z raasch
	137	! wall_flags_00 introduced to hold bits 32-63,
	138	! additional 3D-flag arrays for replacing the 2D-index array nzb_s_inner in
	139	! loops optimized for openACC (pres + flow_statistics)
	140	!
[1093]	141	! 1092 2013-02-02 11:24:22Z raasch
	142	! unused variables removed
	143	!
[1070]	144	! 1069 2012-11-28 16:18:43Z maronga
[1779]	145	! bugfix: added coupling_char to TOPOGRAPHY_DATA to allow topography in the
	146	! ocean model in case of coupled runs
[1070]	147	!
[1037]	148	! 1036 2012-10-22 13:43:42Z raasch
	149	! code put under GPL (PALM 3.9)
	150	!
[1017]	151	! 1015 2012-09-27 09:23:24Z raasch
	152	! lower index for calculating wall_flags_0 set to nzb_w_inner instead of
	153	! nzb_w_inner+1
	154	!
[997]	155	! 996 2012-09-07 10:41:47Z raasch
	156	! little reformatting
	157	!
[979]	158	! 978 2012-08-09 08:28:32Z fricke
	159	! Bugfix: nzb_max is set to nzt at non-cyclic lateral boundaries
	160	! Bugfix: Set wall_flags_0 for inflow boundary
	161	!
[928]	162	! 927 2012-06-06 19:15:04Z raasch
	163	! Wall flags are not set for multigrid method in case of masking method
	164	!
[865]	165	! 864 2012-03-27 15:10:33Z gryschka
[927]	166	! In case of ocean and Dirichlet bottom bc for u and v dzu_mg and ddzu_pres
	167	! were not correctly defined for k=1.
[865]	168	!
[863]	169	! 861 2012-03-26 14:18:34Z suehring
[861]	170	! Set wall_flags_0. The array is needed for degradation in ws-scheme near walls,
	171	! inflow and outflow boundaries as well as near the bottom and the top of the
[863]	172	! model domain.!
[861]	173	! Initialization of nzb_s_inner and nzb_w_inner.
	174	! gls has to be at least nbgp to do not exceed the array bounds of nzb_local
	175	! while setting wall_flags_0
	176	!
[844]	177	! 843 2012-02-29 15:16:21Z gryschka
	178	! In case of ocean and dirichlet bc for u and v at the bottom
	179	! the first u-level ist defined at same height as the first w-level
	180	!
[819]	181	! 818 2012-02-08 16:11:23Z maronga
	182	! Bugfix: topo_height is only required if topography is used. It is thus now
	183	! allocated in the topography branch
	184	!
[810]	185	! 809 2012-01-30 13:32:58Z maronga
	186	! Bugfix: replaced .AND. and .NOT. with && and ! in the preprocessor directives
	187	!
[808]	188	! 807 2012-01-25 11:53:51Z maronga
	189	! New cpp directive "__check" implemented which is used by check_namelist_files
	190	!
[1]	191	! Revision 1.1 1997/08/11 06:17:45 raasch
	192	! Initial revision (Testversion)
	193	!
	194	!
	195	! Description:
	196	! ------------
[1682]	197	!> Creating grid depending constants
[1]	198	!------------------------------------------------------------------------------!
[1682]	199	SUBROUTINE init_grid
	200
[1942]	201	USE advec_ws, &
	202	ONLY: ws_init_flags
[1]	203
[1320]	204	USE arrays_3d, &
	205	ONLY: dd2zu, ddzu, ddzu_pres, ddzw, dzu, dzu_mg, dzw, dzw_mg, f1_mg, &
	206	f2_mg, f3_mg, l_grid, l_wall, zu, zw
	207
[1353]	208	USE control_parameters, &
[1910]	209	ONLY: bc_lr_cyc, bc_ns_cyc, building_height, building_length_x, &
[1320]	210	building_length_y, building_wall_left, building_wall_south, &
	211	canyon_height, canyon_wall_left, canyon_wall_south, &
[1691]	212	canyon_width_x, canyon_width_y, constant_flux_layer, &
	213	coupling_char, dp_level_ind_b, dz, dz_max, dz_stretch_factor, &
[1968]	214	dz_stretch_level, dz_stretch_level_index, grid_level, ibc_uv_b, &
	215	io_blocks, io_group, inflow_l, inflow_n, inflow_r, inflow_s, &
[1691]	216	masking_method, maximum_grid_level, message_string, &
[2021]	217	momentum_advec, nest_domain, nest_bound_l, nest_bound_n, &
	218	nest_bound_r, nest_bound_s, ocean, outflow_l, outflow_n, &
[1762]	219	outflow_r, outflow_s, psolver, scalar_advec, topography, &
[1691]	220	topography_grid_convention, use_surface_fluxes, use_top_fluxes, &
[2021]	221	wall_adjustment_factor
	222
[1320]	223	USE grid_variables, &
	224	ONLY: ddx, ddx2, ddx2_mg, ddy, ddy2, ddy2_mg, dx, dx2, dy, dy2, fwxm, &
	225	fwxp, fwym, fwyp, fxm, fxp, fym, fyp, wall_e_x, wall_e_y, &
	226	wall_u, wall_v, wall_w_x, wall_w_y, zu_s_inner, zw_w_inner
	227
	228	USE indices, &
[1942]	229	ONLY: flags, nbgp, nx, nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, &
	230	ny, nyn, nyng, nyn_mg, nys, nys_mg, nysg, nz, nzb, &
[1845]	231	nzb_diff, nzb_diff_s_inner, nzb_diff_s_outer, nzb_diff_u, &
	232	nzb_diff_v, nzb_max, nzb_s_inner, nzb_s_outer, nzb_u_inner, &
	233	nzb_u_outer, nzb_v_inner, nzb_v_outer, nzb_w_inner, &
	234	nzb_w_outer, nzt, nzt_diff, nzt_mg, rflags_invers, &
[1320]	235	rflags_s_inner, wall_flags_0, wall_flags_00, wall_flags_1, &
	236	wall_flags_10, wall_flags_2, wall_flags_3, wall_flags_4, &
	237	wall_flags_5, wall_flags_6, wall_flags_7, wall_flags_8, &
	238	wall_flags_9
	239
	240	USE kinds
	241
[1]	242	USE pegrid
	243
	244	IMPLICIT NONE
	245
[1968]	246	INTEGER(iwp) :: bh !< temporary vertical index of building height
	247	INTEGER(iwp) :: blx !< grid point number of building size along x
	248	INTEGER(iwp) :: bly !< grid point number of building size along y
	249	INTEGER(iwp) :: bxl !< index for left building wall
	250	INTEGER(iwp) :: bxr !< index for right building wall
	251	INTEGER(iwp) :: byn !< index for north building wall
	252	INTEGER(iwp) :: bys !< index for south building wall
	253	INTEGER(iwp) :: ch !< temporary vertical index for canyon height
	254	INTEGER(iwp) :: cwx !< grid point number of canyon size along x
	255	INTEGER(iwp) :: cwy !< grid point number of canyon size along y
	256	INTEGER(iwp) :: cxl !< index for left canyon wall
	257	INTEGER(iwp) :: cxr !< index for right canyon wall
	258	INTEGER(iwp) :: cyn !< index for north canyon wall
	259	INTEGER(iwp) :: cys !< index for south canyon wall
	260	INTEGER(iwp) :: i !< index variable along x
	261	INTEGER(iwp) :: ii !< loop variable for reading topography file
	262	INTEGER(iwp) :: inc !< incremental parameter for coarsening grid level
	263	INTEGER(iwp) :: j !< index variable along y
	264	INTEGER(iwp) :: k !< index variable along z
	265	INTEGER(iwp) :: l !< loop variable
	266	INTEGER(iwp) :: nxl_l !< index of left PE boundary for multigrid level
	267	INTEGER(iwp) :: nxr_l !< index of right PE boundary for multigrid level
	268	INTEGER(iwp) :: nyn_l !< index of north PE boundary for multigrid level
	269	INTEGER(iwp) :: nys_l !< index of south PE boundary for multigrid level
	270	INTEGER(iwp) :: nzb_local_max !< vertical grid index of maximum topography height
	271	INTEGER(iwp) :: nzb_local_min !< vertical grid index of minimum topography height
	272	INTEGER(iwp) :: nzb_si !< dummy index for local nzb_s_inner
	273	INTEGER(iwp) :: nzt_l !< index of top PE boundary for multigrid level
	274	INTEGER(iwp) :: num_hole !< number of holes (in topography) resolved by only one grid point
	275	INTEGER(iwp) :: num_hole_l !< number of holes (in topography) resolved by only one grid point on local PE
	276	INTEGER(iwp) :: num_wall !< number of surrounding vertical walls for a single grid point
	277	INTEGER(iwp) :: skip_n_rows !< counting variable to skip rows while reading topography file
	278	INTEGER(iwp) :: vi !< dummy for vertical influence
[1]	279
[1886]	280	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: &
[1931]	281	vertical_influence !< number of vertical grid points above obstacle where adjustment of near-wall mixing length is required
[1886]	282
[1968]	283	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_nl !< index of north-left corner location to limit near-wall mixing length
	284	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_nr !< north-right
	285	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_sl !< south-left
	286	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_sr !< south-right
	287	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_local !< index for topography top at cell-center
	288	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_tmp !< dummy to calculate topography indices on u- and v-grid
	289	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_l !< distance to adjacent left-facing wall
	290	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_n !< north-facing
	291	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_r !< right-facing
	292	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_s !< right-facing
[1]	293
[1968]	294	REAL(wp) :: dum !< dummy variable to skip columns while reading topography file
[1886]	295	REAL(wp) :: dx_l !< grid spacing along x on different multigrid level
	296	REAL(wp) :: dy_l !< grid spacing along y on different multigrid level
	297	REAL(wp) :: dz_stretched !< stretched vertical grid spacing
[861]	298
[1968]	299	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: topo_height !< input variable for topography height
	300	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zu_s_inner_l !< dummy array on global scale to write topography output array
	301	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zw_w_inner_l !< dummy array on global scale to write topography output array
[1]	302
[667]	303
[1]	304	!
[709]	305	!-- Calculation of horizontal array bounds including ghost layers
[667]	306	nxlg = nxl - nbgp
	307	nxrg = nxr + nbgp
	308	nysg = nys - nbgp
	309	nyng = nyn + nbgp
[709]	310
[667]	311	!
[1]	312	!-- Allocate grid arrays
[1353]	313	ALLOCATE( ddzu(1:nzt+1), ddzw(1:nzt+1), dd2zu(1:nzt), dzu(1:nzt+1), &
[667]	314	dzw(1:nzt+1), l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1) )
[1]	315
	316	!
	317	!-- Compute height of u-levels from constant grid length and dz stretch factors
[1353]	318	IF ( dz == -1.0_wp ) THEN
[254]	319	message_string = 'missing dz'
	320	CALL message( 'init_grid', 'PA0200', 1, 2, 0, 6, 0 )
[1353]	321	ELSEIF ( dz <= 0.0_wp ) THEN
[254]	322	WRITE( message_string, * ) 'dz=',dz,' <= 0.0'
	323	CALL message( 'init_grid', 'PA0201', 1, 2, 0, 6, 0 )
[1]	324	ENDIF
[94]	325
[1]	326	!
[94]	327	!-- Define the vertical grid levels
	328	IF ( .NOT. ocean ) THEN
	329	!
	330	!-- Grid for atmosphere with surface at z=0 (k=0, w-grid).
[843]	331	!-- The second u-level (k=1) corresponds to the top of the
[94]	332	!-- Prandtl-layer.
[667]	333
	334	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
[1353]	335	zu(0) = 0.0_wp
	336	! zu(0) = - dz * 0.5_wp
[667]	337	ELSE
[1353]	338	zu(0) = - dz * 0.5_wp
[667]	339	ENDIF
[1353]	340	zu(1) = dz * 0.5_wp
[1]	341
[94]	342	dz_stretch_level_index = nzt+1
	343	dz_stretched = dz
	344	DO k = 2, nzt+1
	345	IF ( dz_stretch_level <= zu(k-1) .AND. dz_stretched < dz_max ) THEN
	346	dz_stretched = dz_stretched * dz_stretch_factor
	347	dz_stretched = MIN( dz_stretched, dz_max )
	348	IF ( dz_stretch_level_index == nzt+1 ) dz_stretch_level_index = k-1
	349	ENDIF
	350	zu(k) = zu(k-1) + dz_stretched
	351	ENDDO
[1]	352
	353	!
[94]	354	!-- Compute the w-levels. They are always staggered half-way between the
[843]	355	!-- corresponding u-levels. In case of dirichlet bc for u and v at the
	356	!-- ground the first u- and w-level (k=0) are defined at same height (z=0).
	357	!-- The top w-level is extrapolated linearly.
[1353]	358	zw(0) = 0.0_wp
[94]	359	DO k = 1, nzt
[1353]	360	zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp
[94]	361	ENDDO
[1353]	362	zw(nzt+1) = zw(nzt) + 2.0_wp * ( zu(nzt+1) - zw(nzt) )
[1]	363
[94]	364	ELSE
[1]	365	!
[843]	366	!-- Grid for ocean with free water surface is at k=nzt (w-grid).
	367	!-- In case of neumann bc at the ground the first first u-level (k=0) lies
	368	!-- below the first w-level (k=0). In case of dirichlet bc the first u- and
	369	!-- w-level are defined at same height, but staggered from the second level.
	370	!-- The second u-level (k=1) corresponds to the top of the Prandtl-layer.
[1353]	371	zu(nzt+1) = dz * 0.5_wp
	372	zu(nzt) = - dz * 0.5_wp
[94]	373
	374	dz_stretch_level_index = 0
	375	dz_stretched = dz
	376	DO k = nzt-1, 0, -1
[1418]	377	!
	378	!-- The default value of dz_stretch_level is positive, thus the first
	379	!-- condition is always true. Hence, the second condition is necessary.
	380	IF ( dz_stretch_level >= zu(k+1) .AND. dz_stretch_level <= 0.0 &
	381	.AND. dz_stretched < dz_max ) THEN
[94]	382	dz_stretched = dz_stretched * dz_stretch_factor
	383	dz_stretched = MIN( dz_stretched, dz_max )
	384	IF ( dz_stretch_level_index == 0 ) dz_stretch_level_index = k+1
	385	ENDIF
	386	zu(k) = zu(k+1) - dz_stretched
	387	ENDDO
	388
	389	!
	390	!-- Compute the w-levels. They are always staggered half-way between the
[843]	391	!-- corresponding u-levels, except in case of dirichlet bc for u and v
	392	!-- at the ground. In this case the first u- and w-level are defined at
	393	!-- same height. The top w-level (nzt+1) is not used but set for
	394	!-- consistency, since w and all scalar variables are defined up tp nzt+1.
[94]	395	zw(nzt+1) = dz
[1353]	396	zw(nzt) = 0.0_wp
[94]	397	DO k = 0, nzt
[1353]	398	zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp
[94]	399	ENDDO
	400
[843]	401	!
	402	!-- In case of dirichlet bc for u and v the first u- and w-level are defined
	403	!-- at same height.
	404	IF ( ibc_uv_b == 0 ) THEN
	405	zu(0) = zw(0)
	406	ENDIF
	407
[94]	408	ENDIF
	409
	410	!
[1]	411	!-- Compute grid lengths.
	412	DO k = 1, nzt+1
	413	dzu(k) = zu(k) - zu(k-1)
[1353]	414	ddzu(k) = 1.0_wp / dzu(k)
[1]	415	dzw(k) = zw(k) - zw(k-1)
[1353]	416	ddzw(k) = 1.0_wp / dzw(k)
[1]	417	ENDDO
	418
	419	DO k = 1, nzt
[1353]	420	dd2zu(k) = 1.0_wp / ( dzu(k) + dzu(k+1) )
[1]	421	ENDDO
[667]	422
	423	!
[709]	424	!-- The FFT- SOR-pressure solvers assume grid spacings of a staggered grid
	425	!-- everywhere. For the actual grid, the grid spacing at the lowest level
	426	!-- is only dz/2, but should be dz. Therefore, an additional array
	427	!-- containing with appropriate grid information is created for these
	428	!-- solvers.
[1575]	429	IF ( psolver(1:9) /= 'multigrid' ) THEN
[667]	430	ALLOCATE( ddzu_pres(1:nzt+1) )
	431	ddzu_pres = ddzu
[864]	432	ddzu_pres(1) = ddzu_pres(2) ! change for lowest level
[667]	433	ENDIF
[1]	434
	435	!
	436	!-- In case of multigrid method, compute grid lengths and grid factors for the
	437	!-- grid levels
[1575]	438	IF ( psolver(1:9) == 'multigrid' ) THEN
[1]	439
	440	ALLOCATE( ddx2_mg(maximum_grid_level), ddy2_mg(maximum_grid_level), &
	441	dzu_mg(nzb+1:nzt+1,maximum_grid_level), &
	442	dzw_mg(nzb+1:nzt+1,maximum_grid_level), &
	443	f1_mg(nzb+1:nzt,maximum_grid_level), &
	444	f2_mg(nzb+1:nzt,maximum_grid_level), &
	445	f3_mg(nzb+1:nzt,maximum_grid_level) )
	446
	447	dzu_mg(:,maximum_grid_level) = dzu
[667]	448	!
[864]	449	!-- Next line to ensure an equally spaced grid.
	450	dzu_mg(1,maximum_grid_level) = dzu(2)
[709]	451
[1]	452	dzw_mg(:,maximum_grid_level) = dzw
	453	nzt_l = nzt
	454	DO l = maximum_grid_level-1, 1, -1
[1353]	455	dzu_mg(nzb+1,l) = 2.0_wp * dzu_mg(nzb+1,l+1)
	456	dzw_mg(nzb+1,l) = 2.0_wp * dzw_mg(nzb+1,l+1)
[1]	457	nzt_l = nzt_l / 2
	458	DO k = 2, nzt_l+1
	459	dzu_mg(k,l) = dzu_mg(2k-2,l+1) + dzu_mg(2k-1,l+1)
	460	dzw_mg(k,l) = dzw_mg(2k-2,l+1) + dzw_mg(2k-1,l+1)
	461	ENDDO
	462	ENDDO
	463
	464	nzt_l = nzt
	465	dx_l = dx
	466	dy_l = dy
	467	DO l = maximum_grid_level, 1, -1
[1353]	468	ddx2_mg(l) = 1.0_wp / dx_l**2
	469	ddy2_mg(l) = 1.0_wp / dy_l**2
[1]	470	DO k = nzb+1, nzt_l
[1353]	471	f2_mg(k,l) = 1.0_wp / ( dzu_mg(k+1,l) * dzw_mg(k,l) )
	472	f3_mg(k,l) = 1.0_wp / ( dzu_mg(k,l) * dzw_mg(k,l) )
	473	f1_mg(k,l) = 2.0_wp * ( ddx2_mg(l) + ddy2_mg(l) ) + &
[1]	474	f2_mg(k,l) + f3_mg(k,l)
	475	ENDDO
	476	nzt_l = nzt_l / 2
[1353]	477	dx_l = dx_l * 2.0_wp
	478	dy_l = dy_l * 2.0_wp
[1]	479	ENDDO
	480
	481	ENDIF
	482
	483	!
	484	!-- Compute the reciprocal values of the horizontal grid lengths.
[1353]	485	ddx = 1.0_wp / dx
	486	ddy = 1.0_wp / dy
[1]	487	dx2 = dx * dx
	488	dy2 = dy * dy
[1353]	489	ddx2 = 1.0_wp / dx2
	490	ddy2 = 1.0_wp / dy2
[1]	491
	492	!
	493	!-- Compute the grid-dependent mixing length.
	494	DO k = 1, nzt
[1322]	495	l_grid(k) = ( dx * dy * dzw(k) )**0.33333333333333_wp
[1]	496	ENDDO
	497
	498	!
	499	!-- Allocate outer and inner index arrays for topography and set
[114]	500	!-- defaults.
[667]	501
[114]	502	ALLOCATE( corner_nl(nys:nyn,nxl:nxr), corner_nr(nys:nyn,nxl:nxr), &
	503	corner_sl(nys:nyn,nxl:nxr), corner_sr(nys:nyn,nxl:nxr), &
	504	wall_l(nys:nyn,nxl:nxr), wall_n(nys:nyn,nxl:nxr), &
[1968]	505	wall_r(nys:nyn,nxl:nxr), wall_s(nys:nyn,nxl:nxr) )
	506
[667]	507	ALLOCATE( fwxm(nysg:nyng,nxlg:nxrg), fwxp(nysg:nyng,nxlg:nxrg), &
	508	fwym(nysg:nyng,nxlg:nxrg), fwyp(nysg:nyng,nxlg:nxrg), &
	509	fxm(nysg:nyng,nxlg:nxrg), fxp(nysg:nyng,nxlg:nxrg), &
	510	fym(nysg:nyng,nxlg:nxrg), fyp(nysg:nyng,nxlg:nxrg), &
	511	nzb_s_inner(nysg:nyng,nxlg:nxrg), &
	512	nzb_s_outer(nysg:nyng,nxlg:nxrg), &
	513	nzb_u_inner(nysg:nyng,nxlg:nxrg), &
	514	nzb_u_outer(nysg:nyng,nxlg:nxrg), &
	515	nzb_v_inner(nysg:nyng,nxlg:nxrg), &
	516	nzb_v_outer(nysg:nyng,nxlg:nxrg), &
	517	nzb_w_inner(nysg:nyng,nxlg:nxrg), &
	518	nzb_w_outer(nysg:nyng,nxlg:nxrg), &
	519	nzb_diff_s_inner(nysg:nyng,nxlg:nxrg), &
	520	nzb_diff_s_outer(nysg:nyng,nxlg:nxrg), &
	521	nzb_diff_u(nysg:nyng,nxlg:nxrg), &
	522	nzb_diff_v(nysg:nyng,nxlg:nxrg), &
[1968]	523	nzb_local(nysg:nyng,nxlg:nxrg), &
	524	nzb_tmp(nysg:nyng,nxlg:nxrg), &
[1221]	525	rflags_s_inner(nzb:nzt+2,nysg:nyng,nxlg:nxrg), &
	526	rflags_invers(nysg:nyng,nxlg:nxrg,nzb:nzt+2), &
[667]	527	wall_e_x(nysg:nyng,nxlg:nxrg), &
	528	wall_e_y(nysg:nyng,nxlg:nxrg), &
	529	wall_u(nysg:nyng,nxlg:nxrg), &
	530	wall_v(nysg:nyng,nxlg:nxrg), &
	531	wall_w_x(nysg:nyng,nxlg:nxrg), &
	532	wall_w_y(nysg:nyng,nxlg:nxrg) )
[1]	533
	534
[667]	535
	536	ALLOCATE( l_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	537
[818]	538
[1]	539	nzb_s_inner = nzb; nzb_s_outer = nzb
	540	nzb_u_inner = nzb; nzb_u_outer = nzb
	541	nzb_v_inner = nzb; nzb_v_outer = nzb
	542	nzb_w_inner = nzb; nzb_w_outer = nzb
	543
[1353]	544	rflags_s_inner = 1.0_wp
	545	rflags_invers = 1.0_wp
[1221]	546
[1]	547	!
[19]	548	!-- Define vertical gridpoint from (or to) which on the usual finite difference
[1]	549	!-- form (which does not use surface fluxes) is applied
[1691]	550	IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN
[1]	551	nzb_diff = nzb + 2
	552	ELSE
	553	nzb_diff = nzb + 1
	554	ENDIF
[19]	555	IF ( use_top_fluxes ) THEN
	556	nzt_diff = nzt - 1
	557	ELSE
	558	nzt_diff = nzt
	559	ENDIF
[1]	560
	561	nzb_diff_s_inner = nzb_diff; nzb_diff_s_outer = nzb_diff
	562	nzb_diff_u = nzb_diff; nzb_diff_v = nzb_diff
	563
[1353]	564	wall_e_x = 0.0_wp; wall_e_y = 0.0_wp; wall_u = 0.0_wp; wall_v = 0.0_wp
	565	wall_w_x = 0.0_wp; wall_w_y = 0.0_wp
	566	fwxp = 1.0_wp; fwxm = 1.0_wp; fwyp = 1.0_wp; fwym = 1.0_wp
	567	fxp = 1.0_wp; fxm = 1.0_wp; fyp = 1.0_wp; fym = 1.0_wp
[1]	568
	569	!
	570	!-- Initialize near-wall mixing length l_wall only in the vertical direction
	571	!-- for the moment,
	572	!-- multiplication with wall_adjustment_factor near the end of this routine
	573	l_wall(nzb,:,:) = l_grid(1)
	574	DO k = nzb+1, nzt
	575	l_wall(k,:,:) = l_grid(k)
	576	ENDDO
	577	l_wall(nzt+1,:,:) = l_grid(nzt)
	578
	579	ALLOCATE ( vertical_influence(nzb:nzt) )
	580	DO k = 1, nzt
	581	vertical_influence(k) = MIN ( INT( l_grid(k) / &
[1353]	582	( wall_adjustment_factor * dzw(k) ) + 0.5_wp ), nzt - k )
[1]	583	ENDDO
	584
[1968]	585	DO k = 1, nzt
[1353]	586	IF ( l_grid(k) > 1.5_wp * dx * wall_adjustment_factor .OR. &
	587	l_grid(k) > 1.5_wp * dy * wall_adjustment_factor ) THEN
[254]	588	WRITE( message_string, * ) 'grid anisotropy exceeds ', &
	589	'threshold given by only local', &
	590	' &horizontal reduction of near_wall ', &
	591	'mixing length l_wall', &
	592	' &starting from height level k = ', k, '.'
	593	CALL message( 'init_grid', 'PA0202', 0, 1, 0, 6, 0 )
[1]	594	EXIT
	595	ENDIF
	596	ENDDO
	597	vertical_influence(0) = vertical_influence(1)
	598
[1968]	599	DO k = nzb + 1, nzb + vertical_influence(nzb)
	600	l_wall(k,:,:) = zu(k) - zw(nzb)
[1]	601	ENDDO
	602
	603	!
	604	!-- Set outer and inner index arrays for non-flat topography.
	605	!-- Here consistency checks concerning domain size and periodicity are
	606	!-- necessary.
	607	!-- Within this SELECT CASE structure only nzb_local is initialized
	608	!-- individually depending on the chosen topography type, all other index
	609	!-- arrays are initialized further below.
	610	SELECT CASE ( TRIM( topography ) )
	611
	612	CASE ( 'flat' )
	613	!
[555]	614	!-- nzb_local is required for the multigrid solver
	615	nzb_local = 0
[1]	616
	617	CASE ( 'single_building' )
	618	!
	619	!-- Single rectangular building, by default centered in the middle of the
	620	!-- total domain
	621	blx = NINT( building_length_x / dx )
	622	bly = NINT( building_length_y / dy )
[1675]	623	bh = MINLOC( ABS( zw - building_height ), 1 ) - 1
	624	IF ( ABS( zw(bh ) - building_height ) == &
	625	ABS( zw(bh+1) - building_height ) ) bh = bh + 1
[1]	626
[1322]	627	IF ( building_wall_left == 9999999.9_wp ) THEN
[1]	628	building_wall_left = ( nx + 1 - blx ) / 2 * dx
	629	ENDIF
	630	bxl = NINT( building_wall_left / dx )
	631	bxr = bxl + blx
	632
[1322]	633	IF ( building_wall_south == 9999999.9_wp ) THEN
[1]	634	building_wall_south = ( ny + 1 - bly ) / 2 * dy
	635	ENDIF
	636	bys = NINT( building_wall_south / dy )
	637	byn = bys + bly
	638
	639	!
	640	!-- Building size has to meet some requirements
	641	IF ( ( bxl < 1 ) .OR. ( bxr > nx-1 ) .OR. ( bxr < bxl+3 ) .OR. &
	642	( bys < 1 ) .OR. ( byn > ny-1 ) .OR. ( byn < bys+3 ) ) THEN
[274]	643	WRITE( message_string, * ) 'inconsistent building parameters:', &
	644	'& bxl=', bxl, 'bxr=', bxr, 'bys=', bys, &
	645	'byn=', byn, 'nx=', nx, 'ny=', ny
[254]	646	CALL message( 'init_grid', 'PA0203', 1, 2, 0, 6, 0 )
[1]	647	ENDIF
	648
	649	!
[1968]	650	!-- Define the building.
[1]	651	nzb_local = 0
[1968]	652	IF ( bxl <= nxr .AND. bxr >= nxl .AND. &
	653	bys <= nyn .AND. byn >= nys ) &
	654	nzb_local(MAX(nys,bys):MIN(nyn,byn),MAX(nxl,bxl):MIN(nxr,bxr)) = bh
[1]	655
[1994]	656	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	657
[240]	658	CASE ( 'single_street_canyon' )
	659	!
	660	!-- Single quasi-2D street canyon of infinite length in x or y direction.
	661	!-- The canyon is centered in the other direction by default.
[1322]	662	IF ( canyon_width_x /= 9999999.9_wp ) THEN
[240]	663	!
	664	!-- Street canyon in y direction
	665	cwx = NINT( canyon_width_x / dx )
[1322]	666	IF ( canyon_wall_left == 9999999.9_wp ) THEN
[240]	667	canyon_wall_left = ( nx + 1 - cwx ) / 2 * dx
	668	ENDIF
	669	cxl = NINT( canyon_wall_left / dx )
	670	cxr = cxl + cwx
	671
[1322]	672	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
[240]	673	!
	674	!-- Street canyon in x direction
	675	cwy = NINT( canyon_width_y / dy )
[1322]	676	IF ( canyon_wall_south == 9999999.9_wp ) THEN
[240]	677	canyon_wall_south = ( ny + 1 - cwy ) / 2 * dy
	678	ENDIF
	679	cys = NINT( canyon_wall_south / dy )
	680	cyn = cys + cwy
	681
	682	ELSE
[254]	683
	684	message_string = 'no street canyon width given'
	685	CALL message( 'init_grid', 'PA0204', 1, 2, 0, 6, 0 )
	686
[240]	687	ENDIF
	688
[1675]	689	ch = MINLOC( ABS( zw - canyon_height ), 1 ) - 1
	690	IF ( ABS( zw(ch ) - canyon_height ) == &
	691	ABS( zw(ch+1) - canyon_height ) ) ch = ch + 1
	692
[240]	693	dp_level_ind_b = ch
	694	!
	695	!-- Street canyon size has to meet some requirements
[1322]	696	IF ( canyon_width_x /= 9999999.9_wp ) THEN
[1353]	697	IF ( ( cxl < 1 ) .OR. ( cxr > nx-1 ) .OR. ( cwx < 3 ) .OR. &
[240]	698	( ch < 3 ) ) THEN
[1353]	699	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
	700	'&cxl=', cxl, 'cxr=', cxr, &
	701	'cwx=', cwx, &
[254]	702	'ch=', ch, 'nx=', nx, 'ny=', ny
	703	CALL message( 'init_grid', 'PA0205', 1, 2, 0, 6, 0 )
[240]	704	ENDIF
[1322]	705	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
[1353]	706	IF ( ( cys < 1 ) .OR. ( cyn > ny-1 ) .OR. ( cwy < 3 ) .OR. &
[240]	707	( ch < 3 ) ) THEN
[1353]	708	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
	709	'&cys=', cys, 'cyn=', cyn, &
	710	'cwy=', cwy, &
[254]	711	'ch=', ch, 'nx=', nx, 'ny=', ny
	712	CALL message( 'init_grid', 'PA0206', 1, 2, 0, 6, 0 )
[240]	713	ENDIF
	714	ENDIF
[1353]	715	IF ( canyon_width_x /= 9999999.9_wp .AND. &
	716	canyon_width_y /= 9999999.9_wp ) THEN
	717	message_string = 'inconsistent canyon parameters:' // &
	718	'&street canyon can only be oriented' // &
[254]	719	'&either in x- or in y-direction'
	720	CALL message( 'init_grid', 'PA0207', 1, 2, 0, 6, 0 )
[240]	721	ENDIF
	722
	723	nzb_local = ch
[1322]	724	IF ( canyon_width_x /= 9999999.9_wp ) THEN
[1968]	725	IF ( cxl <= nxr .AND. cxr >= nxl ) &
	726	nzb_local(:,MAX(nxl,cxl+1):MIN(nxr,cxr-1)) = 0
[1322]	727	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
[1968]	728	IF ( cys <= nyn .AND. cyn >= nys ) &
	729	nzb_local(MAX(nys,cys+1):MIN(nyn,cyn-1),:) = 0
[240]	730	ENDIF
	731
[1994]	732	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	733
[1]	734	CASE ( 'read_from_file' )
[759]	735
[1968]	736	ALLOCATE ( topo_height(nys:nyn,nxl:nxr) )
[818]	737
[759]	738	DO ii = 0, io_blocks-1
	739	IF ( ii == io_group ) THEN
	740
[1]	741	!
[759]	742	!-- Arbitrary irregular topography data in PALM format (exactly
	743	!-- matching the grid size and total domain size)
[1779]	744	OPEN( 90, FILE='TOPOGRAPHY_DATA'//TRIM( coupling_char ), &
	745	STATUS='OLD', FORM='FORMATTED', ERR=10 )
[1968]	746	!
	747	!-- Read topography PE-wise. Rows are read from nyn to nys, columns
	748	!-- are read from nxl to nxr. At first, ny-nyn rows need to be skipped.
	749	skip_n_rows = 0
	750	DO WHILE ( skip_n_rows < ny - nyn )
	751	READ( 90, * )
	752	skip_n_rows = skip_n_rows + 1
[759]	753	ENDDO
[1968]	754	!
	755	!-- Read data from nyn to nys and nxl to nxr. Therefore, skip
	756	!-- column until nxl-1 is reached
	757	DO j = nyn, nys, -1
	758	READ( 90, *, ERR=11, END=11 ) &
	759	( dum, i = 0, nxl-1 ), &
	760	( topo_height(j,i), i = nxl, nxr )
	761	ENDDO
[759]	762
	763	GOTO 12
	764
[1779]	765	10 message_string = 'file TOPOGRAPHY'//TRIM( coupling_char )// &
	766	' does not exist'
[759]	767	CALL message( 'init_grid', 'PA0208', 1, 2, 0, 6, 0 )
	768
[1779]	769	11 message_string = 'errors in file TOPOGRAPHY_DATA'// &
	770	TRIM( coupling_char )
[759]	771	CALL message( 'init_grid', 'PA0209', 1, 2, 0, 6, 0 )
	772
	773	12 CLOSE( 90 )
	774
	775	ENDIF
[1804]	776	#if defined( __parallel )
[759]	777	CALL MPI_BARRIER( comm2d, ierr )
	778	#endif
[559]	779	ENDDO
[759]	780
[1]	781	!
	782	!-- Calculate the index height of the topography
[1968]	783	nzb_local = 0
	784	DO i = nxl, nxr
	785	DO j = nys, nyn
[1675]	786	nzb_local(j,i) = MINLOC( ABS( zw - topo_height(j,i) ), 1 ) - 1
	787	IF ( ABS( zw(nzb_local(j,i) ) - topo_height(j,i) ) == &
	788	ABS( zw(nzb_local(j,i)+1) - topo_height(j,i) ) ) &
	789	nzb_local(j,i) = nzb_local(j,i) + 1
[1]	790	ENDDO
	791	ENDDO
[818]	792
	793	DEALLOCATE ( topo_height )
[1942]	794	!
	795	!-- Filter topography, i.e. fill holes resolved by only one grid point.
	796	!-- Such holes are suspected to lead to velocity blow-ups as continuity
	797	!-- equation on discrete grid cannot be fulfilled in such case.
	798	!-- For now, check only for holes and fill them to the lowest height level
	799	!-- of the directly adjoining grid points along x- and y- direction.
	800	!-- Before checking for holes, set lateral boundary conditions for
	801	!-- topography. After hole-filling, boundary conditions must be set again!
[1968]	802	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	803
	804	IF ( .NOT. bc_ns_cyc ) THEN
	805	IF ( nys == 0 ) nzb_local(-1,:) = nzb_local(0,:)
	806	IF ( nyn == ny ) nzb_local(ny+1,:) = nzb_local(ny,:)
[1942]	807	ENDIF
[1910]	808
[1968]	809	IF ( .NOT. bc_lr_cyc ) THEN
	810	IF ( nxl == 0 ) nzb_local(:,-1) = nzb_local(:,0)
	811	IF ( nxr == nx ) nzb_local(:,nx+1) = nzb_local(:,nx)
[1942]	812	ENDIF
	813
[1968]	814	num_hole_l = 0
	815	DO i = nxl, nxr
	816	DO j = nys, nyn
[1942]	817
	818	num_wall = 0
	819
	820	IF ( nzb_local(j-1,i) > nzb_local(j,i) ) &
	821	num_wall = num_wall + 1
	822	IF ( nzb_local(j+1,i) > nzb_local(j,i) ) &
	823	num_wall = num_wall + 1
	824	IF ( nzb_local(j,i-1) > nzb_local(j,i) ) &
	825	num_wall = num_wall + 1
	826	IF ( nzb_local(j,i+1) > nzb_local(j,i) ) &
	827	num_wall = num_wall + 1
	828
	829	IF ( num_wall == 4 ) THEN
	830	nzb_local(j,i) = MIN( nzb_local(j-1,i), nzb_local(j+1,i), &
	831	nzb_local(j,i-1), nzb_local(j,i+1) )
[1968]	832	num_hole_l = num_hole_l + 1
[1942]	833	ENDIF
	834	ENDDO
	835	ENDDO
[114]	836	!
[1968]	837	!-- Count the total number of holes, required for informative message.
	838	#if defined( __parallel )
	839	CALL MPI_ALLREDUCE( num_hole_l, num_hole, 1, MPI_INTEGER, MPI_SUM, &
	840	comm2d, ierr )
	841	#else
	842	num_hole = num_hole_l
	843	#endif
	844	!
[1942]	845	!-- Create an informative message if any hole was removed.
[1968]	846	IF ( num_hole > 0 ) THEN
[1942]	847	WRITE( message_string, * ) num_hole, 'hole(s) resolved by only '//&
	848	'one grid point were filled'
	849	CALL message( 'init_grid', 'PA0430', 0, 0, 0, 6, 0 )
	850	ENDIF
	851	!
[1968]	852	!-- Exchange ghost-points, as well as add cyclic or Neumann boundary
	853	!-- conditions.
	854	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	855
	856	IF ( .NOT. bc_ns_cyc ) THEN
	857	IF ( nys == 0 ) nzb_local(-1,:) = nzb_local(0,:)
	858	IF ( nyn == ny ) nzb_local(ny+1,:) = nzb_local(ny,:)
[1910]	859	ENDIF
[667]	860
[1968]	861	IF ( .NOT. bc_lr_cyc ) THEN
	862	IF ( nxl == 0 ) nzb_local(:,-1) = nzb_local(:,0)
	863	IF ( nxr == nx ) nzb_local(:,nx+1) = nzb_local(:,nx)
[1910]	864	ENDIF
	865
[1]	866	CASE DEFAULT
	867	!
	868	!-- The DEFAULT case is reached either if the parameter topography
[217]	869	!-- contains a wrong character string or if the user has defined a special
[1]	870	!-- case in the user interface. There, the subroutine user_init_grid
	871	!-- checks which of these two conditions applies.
[1968]	872	CALL user_init_grid( nzb_local )
[1]	873
	874	END SELECT
	875	!
[861]	876	!-- Determine the maximum level of topography. Furthermore it is used for
	877	!-- steering the degradation of order of the applied advection scheme.
[978]	878	!-- In case of non-cyclic lateral boundaries, the order of the advection
[1968]	879	!-- scheme has to be reduced up to nzt (required at the lateral boundaries).
	880	#if defined( __parallel )
	881	CALL MPI_ALLREDUCE( MAXVAL( nzb_local ) + 1, nzb_max, 1, MPI_INTEGER, &
	882	MPI_MAX, comm2d, ierr )
	883	#else
[1677]	884	nzb_max = MAXVAL( nzb_local ) + 1
[1968]	885	#endif
[1353]	886	IF ( inflow_l .OR. outflow_l .OR. inflow_r .OR. outflow_r .OR. &
[1762]	887	inflow_n .OR. outflow_n .OR. inflow_s .OR. outflow_s .OR. &
	888	nest_domain ) &
	889	THEN
	890	nzb_max = nzt
[978]	891	ENDIF
	892
[861]	893	!
[1]	894	!-- Consistency checks and index array initialization are only required for
[217]	895	!-- non-flat topography, also the initialization of topography height arrays
[49]	896	!-- zu_s_inner and zw_w_inner
[1]	897	IF ( TRIM( topography ) /= 'flat' ) THEN
[1968]	898	#if defined( __parallel )
	899	CALL MPI_ALLREDUCE( MAXVAL( nzb_local ), nzb_local_max, 1, MPI_INTEGER, &
	900	MPI_MAX, comm2d, ierr )
[1982]	901	CALL MPI_ALLREDUCE( MINVAL( nzb_local ), nzb_local_min, 1, MPI_INTEGER, &
[1968]	902	MPI_MIN, comm2d, ierr )
	903	#else
	904	nzb_local_max = MAXVAL( nzb_local )
	905	nzb_local_min = MINVAL( nzb_local )
	906	#endif
[1982]	907
[1]	908	!
	909	!-- Consistency checks
[1968]	910	IF ( nzb_local_min < 0 .OR. nzb_local_max > nz + 1 ) THEN
[1353]	911	WRITE( message_string, * ) 'nzb_local values are outside the', &
	912	'model domain', &
[1968]	913	'&MINVAL( nzb_local ) = ', nzb_local_min, &
	914	'&MAXVAL( nzb_local ) = ', nzb_local_max
[254]	915	CALL message( 'init_grid', 'PA0210', 1, 2, 0, 6, 0 )
[1]	916	ENDIF
	917
[217]	918	IF ( topography_grid_convention == 'cell_edge' ) THEN
[134]	919	!
[217]	920	!-- The array nzb_local as defined using the 'cell_edge' convention
	921	!-- describes the actual total size of topography which is defined at the
	922	!-- cell edges where u=0 on the topography walls in x-direction and v=0
	923	!-- on the topography walls in y-direction. However, PALM uses individual
	924	!-- arrays nzb_u\|v\|w\|s_inner\|outer that are based on nzb_s_inner.
	925	!-- Therefore, the extent of topography in nzb_local is now reduced by
	926	!-- 1dx at the E topography walls and by 1dy at the N topography walls
[1968]	927	!-- to form the basis for nzb_s_inner.
	928	!-- Note, the reverse memory access (i-j instead of j-i) is absolutely
	929	!-- required at this point.
	930	DO j = nys+1, nyn+1
	931	DO i = nxl-1, nxr
[217]	932	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j,i+1) )
	933	ENDDO
[134]	934	ENDDO
[1968]	935	!
	936	!-- Exchange ghost points
	937	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	938
	939	DO i = nxl, nxr+1
	940	DO j = nys-1, nyn
[217]	941	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j+1,i) )
	942	ENDDO
[134]	943	ENDDO
[1968]	944	!
	945	!-- Exchange ghost points
	946	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
[217]	947	ENDIF
[1]	948	!
	949	!-- Initialize index arrays nzb_s_inner and nzb_w_inner
[1968]	950	nzb_s_inner = nzb_local
	951	nzb_w_inner = nzb_local
[1]	952
	953	!
	954	!-- Initialize remaining index arrays:
	955	!-- first pre-initialize them with nzb_s_inner...
	956	nzb_u_inner = nzb_s_inner
	957	nzb_u_outer = nzb_s_inner
	958	nzb_v_inner = nzb_s_inner
	959	nzb_v_outer = nzb_s_inner
	960	nzb_w_outer = nzb_s_inner
	961	nzb_s_outer = nzb_s_inner
	962
	963	!
	964	!-- ...then extend pre-initialized arrays in their according directions
	965	!-- based on nzb_local using nzb_tmp as a temporary global index array
	966
	967	!
	968	!-- nzb_s_outer:
	969	!-- extend nzb_local east-/westwards first, then north-/southwards
[1968]	970	nzb_tmp = nzb_local
	971	DO j = nys, nyn
	972	DO i = nxl, nxr
[1353]	973	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i), &
[1]	974	nzb_local(j,i+1) )
	975	ENDDO
	976	ENDDO
[1968]	977
	978	CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp )
	979
[1]	980	DO i = nxl, nxr
	981	DO j = nys, nyn
[1353]	982	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
[1]	983	nzb_tmp(j+1,i) )
	984	ENDDO
	985	!
	986	!-- non-cyclic boundary conditions (overwritten by call of
	987	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	988	IF ( nys == 0 ) THEN
	989	j = -1
	990	nzb_s_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
	991	ENDIF
[1743]	992	IF ( nyn == ny ) THEN
[1]	993	j = ny + 1
	994	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
	995	ENDIF
	996	ENDDO
	997	!
	998	!-- nzb_w_outer:
	999	!-- identical to nzb_s_outer
	1000	nzb_w_outer = nzb_s_outer
	1001
	1002	!
	1003	!-- nzb_u_inner:
	1004	!-- extend nzb_local rightwards only
[1968]	1005	nzb_tmp = nzb_local
	1006	DO j = nys, nyn
	1007	DO i = nxl, nxr
[1]	1008	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i) )
	1009	ENDDO
	1010	ENDDO
[1968]	1011
	1012	CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp )
	1013
	1014	nzb_u_inner = nzb_tmp
[1]	1015	!
	1016	!-- nzb_u_outer:
	1017	!-- extend current nzb_tmp (nzb_u_inner) north-/southwards
	1018	DO i = nxl, nxr
	1019	DO j = nys, nyn
[1353]	1020	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
[1]	1021	nzb_tmp(j+1,i) )
	1022	ENDDO
	1023	!
	1024	!-- non-cyclic boundary conditions (overwritten by call of
	1025	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	1026	IF ( nys == 0 ) THEN
	1027	j = -1
	1028	nzb_u_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
	1029	ENDIF
[1743]	1030	IF ( nyn == ny ) THEN
[1]	1031	j = ny + 1
	1032	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
	1033	ENDIF
	1034	ENDDO
	1035
	1036	!
	1037	!-- nzb_v_inner:
	1038	!-- extend nzb_local northwards only
[1968]	1039	nzb_tmp = nzb_local
	1040	DO i = nxl, nxr
	1041	DO j = nys, nyn
[1]	1042	nzb_tmp(j,i) = MAX( nzb_local(j-1,i), nzb_local(j,i) )
	1043	ENDDO
	1044	ENDDO
[1968]	1045
	1046	CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp )
	1047	nzb_v_inner = nzb_tmp
[1]	1048
	1049	!
	1050	!-- nzb_v_outer:
	1051	!-- extend current nzb_tmp (nzb_v_inner) right-/leftwards
	1052	DO j = nys, nyn
	1053	DO i = nxl, nxr
[1353]	1054	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i), &
[1]	1055	nzb_tmp(j,i+1) )
	1056	ENDDO
	1057	!
	1058	!-- non-cyclic boundary conditions (overwritten by call of
	1059	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	1060	IF ( nxl == 0 ) THEN
	1061	i = -1
	1062	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i+1), nzb_tmp(j,i) )
	1063	ENDIF
	1064	IF ( nxr == nx ) THEN
	1065	i = nx + 1
	1066	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i) )
	1067	ENDIF
	1068	ENDDO
[1804]	1069
[1]	1070	!
	1071	!-- Exchange of lateral boundary values (parallel computers) and cyclic
	1072	!-- boundary conditions, if applicable.
	1073	!-- Since nzb_s_inner and nzb_w_inner are derived directly from nzb_local
	1074	!-- they do not require exchange and are not included here.
[1968]	1075	CALL exchange_horiz_2d_int( nzb_u_inner, nys, nyn, nxl, nxr, nbgp )
	1076	CALL exchange_horiz_2d_int( nzb_u_outer, nys, nyn, nxl, nxr, nbgp )
	1077	CALL exchange_horiz_2d_int( nzb_v_inner, nys, nyn, nxl, nxr, nbgp )
	1078	CALL exchange_horiz_2d_int( nzb_v_outer, nys, nyn, nxl, nxr, nbgp )
	1079	CALL exchange_horiz_2d_int( nzb_w_outer, nys, nyn, nxl, nxr, nbgp )
	1080	CALL exchange_horiz_2d_int( nzb_s_outer, nys, nyn, nxl, nxr, nbgp )
[1]	1081
[49]	1082	!
	1083	!-- Allocate and set the arrays containing the topography height
[1968]	1084	ALLOCATE( zu_s_inner(0:nx+1,0:ny+1), zw_w_inner(0:nx+1,0:ny+1), &
	1085	zu_s_inner_l(0:nx+1,0:ny+1), zw_w_inner_l(0:nx+1,0:ny+1) )
	1086
	1087	zu_s_inner = 0.0_wp
	1088	zw_w_inner = 0.0_wp
	1089	zu_s_inner_l = 0.0_wp
	1090	zw_w_inner_l = 0.0_wp
	1091
	1092	DO i = nxl, nxr
	1093	DO j = nys, nyn
	1094	zu_s_inner_l(i,j) = zu(nzb_local(j,i))
	1095	zw_w_inner_l(i,j) = zw(nzb_local(j,i))
	1096	ENDDO
	1097	ENDDO
	1098
	1099	#if defined( __parallel )
	1100	CALL MPI_REDUCE( zu_s_inner_l, zu_s_inner, (nx+2)*(ny+2), &
	1101	MPI_REAL, MPI_SUM, 0, comm2d, ierr )
	1102	CALL MPI_REDUCE( zw_w_inner_l, zw_w_inner, (nx+2)*(ny+2), &
	1103	MPI_REAL, MPI_SUM, 0, comm2d, ierr )
	1104	#else
	1105	zu_s_inner = zu_s_inner_l
	1106	zw_w_inner = zw_w_inner_l
	1107	#endif
[49]	1108
[1968]	1109	DEALLOCATE( zu_s_inner_l, zw_w_inner_l )
	1110	IF ( myid /= 0 ) DEALLOCATE( zu_s_inner, zw_w_inner )
[1221]	1111	!
[1968]	1112	!-- Set south and left ghost points, required for netcdf output
	1113	IF ( myid == 0 ) THEN
	1114	IF( bc_lr_cyc ) THEN
	1115	zu_s_inner(nx+1,:) = zu_s_inner(0,:)
	1116	zw_w_inner(nx+1,:) = zw_w_inner(0,:)
	1117	ELSE
	1118	zu_s_inner(nx+1,:) = zu_s_inner(nx,:)
	1119	zw_w_inner(nx+1,:) = zw_w_inner(nx,:)
	1120	ENDIF
	1121	IF( bc_ns_cyc ) THEN
	1122	zu_s_inner(:,ny+1) = zu_s_inner(:,0)
	1123	zw_w_inner(:,ny+1) = zw_w_inner(:,0)
	1124	ELSE
	1125	zu_s_inner(:,ny+1) = zu_s_inner(:,ny)
	1126	zw_w_inner(:,ny+1) = zw_w_inner(:,ny)
	1127	ENDIF
	1128	ENDIF
	1129	!
[1221]	1130	!-- Set flag arrays to be used for masking of grid points
	1131	DO i = nxlg, nxrg
	1132	DO j = nysg, nyng
	1133	DO k = nzb, nzt+1
[1353]	1134	IF ( k <= nzb_s_inner(j,i) ) rflags_s_inner(k,j,i) = 0.0_wp
	1135	IF ( k <= nzb_s_inner(j,i) ) rflags_invers(j,i,k) = 0.0_wp
[1221]	1136	ENDDO
	1137	ENDDO
	1138	ENDDO
[1804]	1139
[1]	1140	ENDIF
[1968]	1141	!
	1142	!-- Deallocate temporary array, as it might be reused for different
	1143	!-- grid-levels further below.
	1144	DEALLOCATE( nzb_tmp )
[1]	1145
	1146	!
	1147	!-- Set the individual index arrays which define the k index from which on
	1148	!-- the usual finite difference form (which does not use surface fluxes) is
	1149	!-- applied
[1691]	1150	IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN
[1]	1151	nzb_diff_u = nzb_u_inner + 2
	1152	nzb_diff_v = nzb_v_inner + 2
	1153	nzb_diff_s_inner = nzb_s_inner + 2
	1154	nzb_diff_s_outer = nzb_s_outer + 2
	1155	ELSE
	1156	nzb_diff_u = nzb_u_inner + 1
	1157	nzb_diff_v = nzb_v_inner + 1
	1158	nzb_diff_s_inner = nzb_s_inner + 1
	1159	nzb_diff_s_outer = nzb_s_outer + 1
	1160	ENDIF
	1161
	1162	!
	1163	!-- Calculation of wall switches and factors required by diffusion_u/v.f90 and
	1164	!-- for limitation of near-wall mixing length l_wall further below
	1165	corner_nl = 0
	1166	corner_nr = 0
	1167	corner_sl = 0
	1168	corner_sr = 0
	1169	wall_l = 0
	1170	wall_n = 0
	1171	wall_r = 0
	1172	wall_s = 0
	1173
	1174	DO i = nxl, nxr
	1175	DO j = nys, nyn
	1176	!
	1177	!-- u-component
	1178	IF ( nzb_u_outer(j,i) > nzb_u_outer(j+1,i) ) THEN
[1353]	1179	wall_u(j,i) = 1.0_wp ! north wall (location of adjacent fluid)
	1180	fym(j,i) = 0.0_wp
	1181	fyp(j,i) = 1.0_wp
[1]	1182	ELSEIF ( nzb_u_outer(j,i) > nzb_u_outer(j-1,i) ) THEN
[1353]	1183	wall_u(j,i) = 1.0_wp ! south wall (location of adjacent fluid)
	1184	fym(j,i) = 1.0_wp
	1185	fyp(j,i) = 0.0_wp
[1]	1186	ENDIF
	1187	!
	1188	!-- v-component
	1189	IF ( nzb_v_outer(j,i) > nzb_v_outer(j,i+1) ) THEN
[1353]	1190	wall_v(j,i) = 1.0_wp ! rigth wall (location of adjacent fluid)
	1191	fxm(j,i) = 0.0_wp
	1192	fxp(j,i) = 1.0_wp
[1]	1193	ELSEIF ( nzb_v_outer(j,i) > nzb_v_outer(j,i-1) ) THEN
[1353]	1194	wall_v(j,i) = 1.0_wp ! left wall (location of adjacent fluid)
	1195	fxm(j,i) = 1.0_wp
	1196	fxp(j,i) = 0.0_wp
[1]	1197	ENDIF
	1198	!
	1199	!-- w-component, also used for scalars, separate arrays for shear
	1200	!-- production of tke
	1201	IF ( nzb_w_outer(j,i) > nzb_w_outer(j+1,i) ) THEN
[1353]	1202	wall_e_y(j,i) = 1.0_wp ! north wall (location of adjacent fluid)
	1203	wall_w_y(j,i) = 1.0_wp
	1204	fwym(j,i) = 0.0_wp
	1205	fwyp(j,i) = 1.0_wp
[1]	1206	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j-1,i) ) THEN
[1353]	1207	wall_e_y(j,i) = -1.0_wp ! south wall (location of adjacent fluid)
	1208	wall_w_y(j,i) = 1.0_wp
	1209	fwym(j,i) = 1.0_wp
	1210	fwyp(j,i) = 0.0_wp
[1]	1211	ENDIF
	1212	IF ( nzb_w_outer(j,i) > nzb_w_outer(j,i+1) ) THEN
[1353]	1213	wall_e_x(j,i) = 1.0_wp ! right wall (location of adjacent fluid)
	1214	wall_w_x(j,i) = 1.0_wp
	1215	fwxm(j,i) = 0.0_wp
	1216	fwxp(j,i) = 1.0_wp
[1]	1217	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j,i-1) ) THEN
[1353]	1218	wall_e_x(j,i) = -1.0_wp ! left wall (location of adjacent fluid)
	1219	wall_w_x(j,i) = 1.0_wp
	1220	fwxm(j,i) = 1.0_wp
	1221	fwxp(j,i) = 0.0_wp
[1]	1222	ENDIF
	1223	!
	1224	!-- Wall and corner locations inside buildings for limitation of
	1225	!-- near-wall mixing length l_wall
	1226	IF ( nzb_s_inner(j,i) > nzb_s_inner(j+1,i) ) THEN
	1227
	1228	wall_n(j,i) = nzb_s_inner(j+1,i) + 1 ! North wall
	1229
	1230	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	1231	corner_nl(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northleft corner
	1232	nzb_s_inner(j,i-1) ) + 1
	1233	ENDIF
	1234
	1235	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	1236	corner_nr(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northright corner
	1237	nzb_s_inner(j,i+1) ) + 1
	1238	ENDIF
	1239
	1240	ENDIF
	1241
	1242	IF ( nzb_s_inner(j,i) > nzb_s_inner(j-1,i) ) THEN
	1243
	1244	wall_s(j,i) = nzb_s_inner(j-1,i) + 1 ! South wall
	1245	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	1246	corner_sl(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southleft corner
	1247	nzb_s_inner(j,i-1) ) + 1
	1248	ENDIF
	1249
	1250	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	1251	corner_sr(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southright corner
	1252	nzb_s_inner(j,i+1) ) + 1
	1253	ENDIF
	1254
	1255	ENDIF
	1256
	1257	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	1258	wall_l(j,i) = nzb_s_inner(j,i-1) + 1 ! Left wall
	1259	ENDIF
	1260
	1261	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	1262	wall_r(j,i) = nzb_s_inner(j,i+1) + 1 ! Right wall
	1263	ENDIF
	1264
	1265	ENDDO
	1266	ENDDO
	1267	!
[1931]	1268	!-- Calculate wall flag arrays for the multigrid method.
	1269	!-- Please note, wall flags are only applied in the not cache-optimized
	1270	!-- version.
	1271	IF ( psolver == 'multigrid_noopt' ) THEN
[1968]	1272
[114]	1273	!
[1968]	1274	!-- Gridpoint increment of the current level.
[114]	1275	inc = 1
	1276	DO l = maximum_grid_level, 1 , -1
[1968]	1277	!
	1278	!-- Set grid_level as it is required for exchange_horiz_2d_int
	1279	grid_level = l
[114]	1280
	1281	nxl_l = nxl_mg(l)
	1282	nxr_l = nxr_mg(l)
	1283	nys_l = nys_mg(l)
	1284	nyn_l = nyn_mg(l)
	1285	nzt_l = nzt_mg(l)
	1286	!
	1287	!-- Assign the flag level to be calculated
	1288	SELECT CASE ( l )
	1289	CASE ( 1 )
	1290	flags => wall_flags_1
	1291	CASE ( 2 )
	1292	flags => wall_flags_2
	1293	CASE ( 3 )
	1294	flags => wall_flags_3
	1295	CASE ( 4 )
	1296	flags => wall_flags_4
	1297	CASE ( 5 )
	1298	flags => wall_flags_5
	1299	CASE ( 6 )
	1300	flags => wall_flags_6
	1301	CASE ( 7 )
	1302	flags => wall_flags_7
	1303	CASE ( 8 )
	1304	flags => wall_flags_8
	1305	CASE ( 9 )
	1306	flags => wall_flags_9
	1307	CASE ( 10 )
	1308	flags => wall_flags_10
	1309	END SELECT
	1310
	1311	!
	1312	!-- Depending on the grid level, set the respective bits in case of
	1313	!-- neighbouring walls
	1314	!-- Bit 0: wall to the bottom
	1315	!-- Bit 1: wall to the top (not realized in remaining PALM code so far)
	1316	!-- Bit 2: wall to the south
	1317	!-- Bit 3: wall to the north
	1318	!-- Bit 4: wall to the left
	1319	!-- Bit 5: wall to the right
[116]	1320	!-- Bit 6: inside building
[114]	1321
	1322	flags = 0
	1323
[927]	1324	!
	1325	!-- In case of masking method, flags are not set and multigrid method
	1326	!-- works like FFT-solver
[1931]	1327	IF ( .NOT. masking_method ) THEN
[927]	1328
[1968]	1329	!
	1330	!-- Allocate temporary array for topography heights on coarser grid
	1331	!-- level. Please note, 2 ghoist points are required, in order to
	1332	!-- calculate flags() on the interior ghost point.
	1333	ALLOCATE( nzb_tmp(nys_l-2:nyn_l+2,nxl_l-2:nxr_l+2) )
	1334	nzb_tmp = 0
	1335
	1336	DO i = nxl_l, nxr_l
	1337	DO j = nys_l, nyn_l
	1338	nzb_tmp(j,i) = nzb_local(jinc,iinc)
	1339	ENDDO
	1340	ENDDO
	1341	!
	1342	!-- Exchange ghost points on respective multigrid level. 2 ghost points
	1343	!-- are required, in order to calculate flags on
	1344	!-- nys_l-1 / nyn_l+1 / nxl_l-1 / nxr_l+1. The alternative would be to
	1345	!-- exchange 3D-INTEGER array flags on the respective multigrid level.
	1346	CALL exchange_horiz_2d_int( nzb_tmp, nys_l, nyn_l, nxl_l, nxr_l, 2 )
	1347	!
	1348	!-- Set non-cyclic boundary conditions on respective multigrid level
	1349	IF ( .NOT. bc_ns_cyc ) THEN
[2021]	1350	IF ( inflow_s .OR. outflow_s .OR. nest_bound_s ) THEN
[1968]	1351	nzb_tmp(-2,:) = nzb_tmp(0,:)
	1352	nzb_tmp(-1,:) = nzb_tmp(0,:)
	1353	ENDIF
[2021]	1354	IF ( inflow_n .OR. outflow_n .OR. nest_bound_n ) THEN
	1355	nzb_tmp(nyn_l+2,:) = nzb_tmp(nyn_l,:)
	1356	nzb_tmp(nyn_l+1,:) = nzb_tmp(nyn_l,:)
[1968]	1357	ENDIF
	1358	ENDIF
	1359	IF ( .NOT. bc_lr_cyc ) THEN
[2021]	1360	IF ( inflow_l .OR. outflow_l .OR. nest_bound_l ) THEN
[1968]	1361	nzb_tmp(:,-2) = nzb_tmp(:,0)
	1362	nzb_tmp(:,-1) = nzb_tmp(:,0)
	1363	ENDIF
[2021]	1364	IF ( inflow_r .OR. outflow_r .OR. nest_bound_r ) THEN
	1365	nzb_tmp(:,nxr_l+1) = nzb_tmp(:,nxr_l)
	1366	nzb_tmp(:,nxr_l+2) = nzb_tmp(:,nxr_l)
[1968]	1367	ENDIF
	1368	ENDIF
	1369
[927]	1370	DO i = nxl_l-1, nxr_l+1
	1371	DO j = nys_l-1, nyn_l+1
[1968]	1372	DO k = nzb, nzt_l+1
[114]	1373	!
[927]	1374	!-- Inside/outside building (inside building does not need
	1375	!-- further tests for walls)
[1968]	1376	IF ( k*inc <= nzb_tmp(j,i) ) THEN
[114]	1377
[927]	1378	flags(k,j,i) = IBSET( flags(k,j,i), 6 )
[114]	1379
[927]	1380	ELSE
[114]	1381	!
[927]	1382	!-- Bottom wall
[1968]	1383	IF ( (k-1)*inc <= nzb_tmp(j,i) ) THEN
[927]	1384	flags(k,j,i) = IBSET( flags(k,j,i), 0 )
	1385	ENDIF
[114]	1386	!
[927]	1387	!-- South wall
[1968]	1388	IF ( k*inc <= nzb_tmp(j-1,i) ) THEN
[927]	1389	flags(k,j,i) = IBSET( flags(k,j,i), 2 )
	1390	ENDIF
[114]	1391	!
[927]	1392	!-- North wall
[1968]	1393	IF ( k*inc <= nzb_tmp(j+1,i) ) THEN
[927]	1394	flags(k,j,i) = IBSET( flags(k,j,i), 3 )
	1395	ENDIF
[114]	1396	!
[927]	1397	!-- Left wall
[1968]	1398	IF ( k*inc <= nzb_tmp(j,i-1) ) THEN
[927]	1399	flags(k,j,i) = IBSET( flags(k,j,i), 4 )
	1400	ENDIF
[114]	1401	!
[927]	1402	!-- Right wall
[1968]	1403	IF ( k*inc <= nzb_tmp(j,i+1) ) THEN
[927]	1404	flags(k,j,i) = IBSET( flags(k,j,i), 5 )
	1405	ENDIF
	1406
[114]	1407	ENDIF
	1408
[927]	1409	ENDDO
[114]	1410	ENDDO
	1411	ENDDO
	1412
[1968]	1413	DEALLOCATE( nzb_tmp )
	1414
[927]	1415	ENDIF
	1416
[114]	1417	inc = inc * 2
	1418
	1419	ENDDO
[1968]	1420	!
	1421	!-- Reset grid_level to "normal" grid
	1422	grid_level = 0
	1423
[114]	1424	ENDIF
[861]	1425	!
[1942]	1426	!-- Allocate flags needed for masking walls. Even though these flags are only
[2021]	1427	!-- required in the ws-scheme, the arrays need to be allocated here as they are
[1942]	1428	!-- used in OpenACC directives.
[1677]	1429	ALLOCATE( wall_flags_0(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
	1430	wall_flags_00(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1221]	1431	wall_flags_0 = 0
	1432	wall_flags_00 = 0
[114]	1433	!
[2021]	1434	!-- Init flags for ws-scheme to degrade order of the numerics near walls, i.e.
	1435	!-- to decrease the numerical stencil appropriately.
[1942]	1436	IF ( momentum_advec == 'ws-scheme' .OR. scalar_advec == 'ws-scheme' .OR.&
	1437	scalar_advec == 'ws-scheme-mono' ) THEN
	1438	CALL ws_init_flags
[861]	1439	ENDIF
	1440
	1441	!
[1]	1442	!-- In case of topography: limit near-wall mixing length l_wall further:
	1443	!-- Go through all points of the subdomain one by one and look for the closest
	1444	!-- surface
	1445	IF ( TRIM(topography) /= 'flat' ) THEN
	1446	DO i = nxl, nxr
	1447	DO j = nys, nyn
	1448
	1449	nzb_si = nzb_s_inner(j,i)
	1450	vi = vertical_influence(nzb_si)
	1451
	1452	IF ( wall_n(j,i) > 0 ) THEN
	1453	!
	1454	!-- North wall (y distance)
	1455	DO k = wall_n(j,i), nzb_si
[1353]	1456	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), 0.5_wp * dy )
[1]	1457	ENDDO
	1458	!
	1459	!-- Above North wall (yz distance)
	1460	DO k = nzb_si + 1, nzb_si + vi
[1353]	1461	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), &
	1462	SQRT( 0.25_wp * dy**2 + &
[1]	1463	( zu(k) - zw(nzb_si) )**2 ) )
	1464	ENDDO
	1465	!
	1466	!-- Northleft corner (xy distance)
	1467	IF ( corner_nl(j,i) > 0 ) THEN
	1468	DO k = corner_nl(j,i), nzb_si
	1469	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
[1353]	1470	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1471	ENDDO
	1472	!
	1473	!-- Above Northleft corner (xyz distance)
	1474	DO k = nzb_si + 1, nzb_si + vi
[1353]	1475	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
	1476	SQRT( 0.25_wp * (dx2 + dy2) + &
	1477	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1478	ENDDO
	1479	ENDIF
	1480	!
	1481	!-- Northright corner (xy distance)
	1482	IF ( corner_nr(j,i) > 0 ) THEN
	1483	DO k = corner_nr(j,i), nzb_si
[1353]	1484	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
	1485	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1486	ENDDO
	1487	!
	1488	!-- Above northright corner (xyz distance)
	1489	DO k = nzb_si + 1, nzb_si + vi
[1353]	1490	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
	1491	SQRT( 0.25_wp * (dx2 + dy2) + &
	1492	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1493	ENDDO
	1494	ENDIF
	1495	ENDIF
	1496
	1497	IF ( wall_s(j,i) > 0 ) THEN
	1498	!
	1499	!-- South wall (y distance)
	1500	DO k = wall_s(j,i), nzb_si
[1353]	1501	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), 0.5_wp * dy )
[1]	1502	ENDDO
	1503	!
	1504	!-- Above south wall (yz distance)
[1353]	1505	DO k = nzb_si + 1, nzb_si + vi
	1506	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), &
	1507	SQRT( 0.25_wp * dy**2 + &
[1]	1508	( zu(k) - zw(nzb_si) )**2 ) )
	1509	ENDDO
	1510	!
	1511	!-- Southleft corner (xy distance)
	1512	IF ( corner_sl(j,i) > 0 ) THEN
	1513	DO k = corner_sl(j,i), nzb_si
[1353]	1514	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
	1515	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1516	ENDDO
	1517	!
	1518	!-- Above southleft corner (xyz distance)
	1519	DO k = nzb_si + 1, nzb_si + vi
[1353]	1520	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
	1521	SQRT( 0.25_wp * (dx2 + dy2) + &
	1522	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1523	ENDDO
	1524	ENDIF
	1525	!
	1526	!-- Southright corner (xy distance)
	1527	IF ( corner_sr(j,i) > 0 ) THEN
	1528	DO k = corner_sr(j,i), nzb_si
[1353]	1529	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
	1530	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1531	ENDDO
	1532	!
	1533	!-- Above southright corner (xyz distance)
	1534	DO k = nzb_si + 1, nzb_si + vi
[1353]	1535	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
	1536	SQRT( 0.25_wp * (dx2 + dy2) + &
	1537	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1538	ENDDO
	1539	ENDIF
	1540
	1541	ENDIF
	1542
	1543	IF ( wall_l(j,i) > 0 ) THEN
	1544	!
	1545	!-- Left wall (x distance)
	1546	DO k = wall_l(j,i), nzb_si
[1353]	1547	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), 0.5_wp * dx )
[1]	1548	ENDDO
	1549	!
	1550	!-- Above left wall (xz distance)
	1551	DO k = nzb_si + 1, nzb_si + vi
[1353]	1552	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), &
	1553	SQRT( 0.25_wp * dx**2 + &
	1554	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1555	ENDDO
	1556	ENDIF
	1557
	1558	IF ( wall_r(j,i) > 0 ) THEN
	1559	!
	1560	!-- Right wall (x distance)
	1561	DO k = wall_r(j,i), nzb_si
[1353]	1562	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), 0.5_wp * dx )
[1]	1563	ENDDO
	1564	!
	1565	!-- Above right wall (xz distance)
	1566	DO k = nzb_si + 1, nzb_si + vi
[1353]	1567	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), &
	1568	SQRT( 0.25_wp * dx**2 + &
[1]	1569	( zu(k) - zw(nzb_si) )**2 ) )
	1570	ENDDO
	1571
	1572	ENDIF
	1573
	1574	ENDDO
	1575	ENDDO
	1576
	1577	ENDIF
	1578
	1579	!
	1580	!-- Multiplication with wall_adjustment_factor
	1581	l_wall = wall_adjustment_factor * l_wall
	1582
	1583	!
[709]	1584	!-- Set lateral boundary conditions for l_wall
[667]	1585	CALL exchange_horiz( l_wall, nbgp )
	1586
[1]	1587	DEALLOCATE( corner_nl, corner_nr, corner_sl, corner_sr, nzb_local, &
[1968]	1588	vertical_influence, wall_l, wall_n, wall_r, wall_s )
[1]	1589
	1590
	1591	END SUBROUTINE init_grid

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