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source: palm/trunk/SOURCE/init_grid.f90 @ 1977

Last change on this file since 1977 was 1969, checked in by suehring, 8 years ago
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[1682]	1	!> @file init_grid.f90
[1743]	2	!-------------------------------------------------------------------------------!
[1036]	3	! This file is part of PALM.
	4	!
	5	! PALM is free software: you can redistribute it and/or modify it under the terms
	6	! of the GNU General Public License as published by the Free Software Foundation,
	7	! either version 3 of the License, or (at your option) any later version.
	8	!
	9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	12	!
	13	! You should have received a copy of the GNU General Public License along with
	14	! PALM. If not, see <http://www.gnu.org/licenses/>.
	15	!
[1818]	16	! Copyright 1997-2016 Leibniz Universitaet Hannover
[1743]	17	!-------------------------------------------------------------------------------!
[1036]	18	!
[254]	19	! Current revisions:
[1]	20	! -----------------
[1969]	21	!
	22	!
	23	! Former revisions:
	24	! -----------------
	25	! $Id: init_grid.f90 1969 2016-07-18 12:03:12Z maronga $
	26	!
	27	! 1968 2016-07-18 12:01:49Z suehring
[1968]	28	! Changed: PE-wise reading of topography file in order to avoid global definition
	29	! of arrays nzb_local and nzb_tmp. Thereby, topography definition for single
	30	! buildings and street canyons has changed, as well as flag setting for
	31	! multigrid scheme.
	32	!
	33	! Bugfix in checking l_grid anisotropy.
	34	! Simplify initial computation of lwall and vertical_influence, i.e. remove
	35	! nzb_s_inner as it is still zero at this point.
[1932]	36	!
[1943]	37	! 1942 2016-06-14 12:18:18Z suehring
	38	! Topography filter implemented to fill holes resolved by only one grid point.
	39	! Initialization of flags for ws-scheme moved to advec_ws.
	40	!
[1932]	41	! 1931 2016-06-10 12:06:59Z suehring
	42	! Rename multigrid into multigrid_noopt and multigrid_fast into multigrid
	43	!
[1911]	44	! 1910 2016-05-26 06:49:46Z raasch
	45	! Bugfix: if topography is read from file, Neumann conditions are used for the
	46	! nzb_local array (instead of cyclic conditions) in case that non-cyclic
	47	! boundary conditions are switched on for the run
	48	!
[1903]	49	! 1902 2016-05-09 11:18:56Z suehring
[1910]	50	! Set topography flags for multigrid solver only (not for multigrid_fast)
[1903]	51	!
[1887]	52	! 1886 2016-04-21 11:20:47Z suehring
	53	! Bugfix: setting advection flags near walls
	54	! reformulated index values for nzb_v_inner
	55	! variable discriptions added in declaration block
	56	!
[1846]	57	! 1845 2016-04-08 08:29:13Z raasch
	58	! nzb_2d removed
	59	!
[1805]	60	! 1804 2016-04-05 16:30:18Z maronga
	61	! Removed code for parameter file check (__check)
	62	!
[1780]	63	! 1779 2016-03-03 08:01:28Z raasch
	64	! coupling_char is trimmed at every place it occurs, because it can have
	65	! different length now
	66	!
[1763]	67	! 1762 2016-02-25 12:31:13Z hellstea
	68	! Introduction of nested domain feature
	69	!
[1744]	70	! 1743 2016-01-13 10:23:51Z raasch
	71	! Bugfix for calculation of nzb_s_outer and nzb_u_outer at north boundary of
	72	! total domain
	73	!
[1692]	74	! 1691 2015-10-26 16:17:44Z maronga
	75	! Renamed prandtl_layer to constant_flux_layer.
	76	!
[1683]	77	! 1682 2015-10-07 23:56:08Z knoop
	78	! Code annotations made doxygen readable
	79	!
[1678]	80	! 1677 2015-10-02 13:25:23Z boeske
	81	! Bugfix: Ghost points are included in wall_flags_0 and wall_flags_00
	82	!
[1676]	83	! 1675 2015-10-02 08:28:59Z gronemeier
	84	! Bugfix: Definition of topography grid levels
	85	!
[1662]	86	! 1660 2015-09-21 08:15:16Z gronemeier
	87	! Bugfix: Definition of topography grid levels if vertical grid stretching
	88	! starts below the maximum topography height.
	89	!
[1581]	90	! 1580 2015-04-10 13:43:49Z suehring
	91	! Bugfix: setting flags for 5th order scheme near buildings
	92	!
[1576]	93	! 1575 2015-03-27 09:56:27Z raasch
	94	! adjustments for psolver-queries
	95	!
[1558]	96	! 1557 2015-03-05 16:43:04Z suehring
	97	! Adjustment for monotoinic limiter
	98	!
[1419]	99	! 1418 2014-06-06 13:05:08Z fricke
	100	! Bugfix: Change if-condition for stretched grid in the ocean, with the old
	101	! condition and a negative value for dz_stretch_level the condition
	102	! was always true for the whole model domain
	103	!
[1410]	104	! 1409 2014-05-23 12:11:32Z suehring
	105	! Bugfix: set wall_flags_0 at inflow and outflow boundary also for i <= nxlu
	106	! j <= nysv
	107	!
[1354]	108	! 1353 2014-04-08 15:21:23Z heinze
	109	! REAL constants provided with KIND-attribute
	110	!
[1323]	111	! 1322 2014-03-20 16:38:49Z raasch
	112	! REAL constants defined as wp-kind
	113	!
[1321]	114	! 1320 2014-03-20 08:40:49Z raasch
[1320]	115	! ONLY-attribute added to USE-statements,
	116	! kind-parameters added to all INTEGER and REAL declaration statements,
	117	! kinds are defined in new module kinds,
	118	! revision history before 2012 removed,
	119	! comment fields (!:) to be used for variable explanations added to
	120	! all variable declaration statements
[1321]	121	!
[1222]	122	! 1221 2013-09-10 08:59:13Z raasch
	123	! wall_flags_00 introduced to hold bits 32-63,
	124	! additional 3D-flag arrays for replacing the 2D-index array nzb_s_inner in
	125	! loops optimized for openACC (pres + flow_statistics)
	126	!
[1093]	127	! 1092 2013-02-02 11:24:22Z raasch
	128	! unused variables removed
	129	!
[1070]	130	! 1069 2012-11-28 16:18:43Z maronga
[1779]	131	! bugfix: added coupling_char to TOPOGRAPHY_DATA to allow topography in the
	132	! ocean model in case of coupled runs
[1070]	133	!
[1037]	134	! 1036 2012-10-22 13:43:42Z raasch
	135	! code put under GPL (PALM 3.9)
	136	!
[1017]	137	! 1015 2012-09-27 09:23:24Z raasch
	138	! lower index for calculating wall_flags_0 set to nzb_w_inner instead of
	139	! nzb_w_inner+1
	140	!
[997]	141	! 996 2012-09-07 10:41:47Z raasch
	142	! little reformatting
	143	!
[979]	144	! 978 2012-08-09 08:28:32Z fricke
	145	! Bugfix: nzb_max is set to nzt at non-cyclic lateral boundaries
	146	! Bugfix: Set wall_flags_0 for inflow boundary
	147	!
[928]	148	! 927 2012-06-06 19:15:04Z raasch
	149	! Wall flags are not set for multigrid method in case of masking method
	150	!
[865]	151	! 864 2012-03-27 15:10:33Z gryschka
[927]	152	! In case of ocean and Dirichlet bottom bc for u and v dzu_mg and ddzu_pres
	153	! were not correctly defined for k=1.
[865]	154	!
[863]	155	! 861 2012-03-26 14:18:34Z suehring
[861]	156	! Set wall_flags_0. The array is needed for degradation in ws-scheme near walls,
	157	! inflow and outflow boundaries as well as near the bottom and the top of the
[863]	158	! model domain.!
[861]	159	! Initialization of nzb_s_inner and nzb_w_inner.
	160	! gls has to be at least nbgp to do not exceed the array bounds of nzb_local
	161	! while setting wall_flags_0
	162	!
[844]	163	! 843 2012-02-29 15:16:21Z gryschka
	164	! In case of ocean and dirichlet bc for u and v at the bottom
	165	! the first u-level ist defined at same height as the first w-level
	166	!
[819]	167	! 818 2012-02-08 16:11:23Z maronga
	168	! Bugfix: topo_height is only required if topography is used. It is thus now
	169	! allocated in the topography branch
	170	!
[810]	171	! 809 2012-01-30 13:32:58Z maronga
	172	! Bugfix: replaced .AND. and .NOT. with && and ! in the preprocessor directives
	173	!
[808]	174	! 807 2012-01-25 11:53:51Z maronga
	175	! New cpp directive "__check" implemented which is used by check_namelist_files
	176	!
[1]	177	! Revision 1.1 1997/08/11 06:17:45 raasch
	178	! Initial revision (Testversion)
	179	!
	180	!
	181	! Description:
	182	! ------------
[1682]	183	!> Creating grid depending constants
[1]	184	!------------------------------------------------------------------------------!
[1682]	185	SUBROUTINE init_grid
	186
[1942]	187	USE advec_ws, &
	188	ONLY: ws_init_flags
[1]	189
[1320]	190	USE arrays_3d, &
	191	ONLY: dd2zu, ddzu, ddzu_pres, ddzw, dzu, dzu_mg, dzw, dzw_mg, f1_mg, &
	192	f2_mg, f3_mg, l_grid, l_wall, zu, zw
	193
[1353]	194	USE control_parameters, &
[1910]	195	ONLY: bc_lr_cyc, bc_ns_cyc, building_height, building_length_x, &
[1320]	196	building_length_y, building_wall_left, building_wall_south, &
	197	canyon_height, canyon_wall_left, canyon_wall_south, &
[1691]	198	canyon_width_x, canyon_width_y, constant_flux_layer, &
	199	coupling_char, dp_level_ind_b, dz, dz_max, dz_stretch_factor, &
[1968]	200	dz_stretch_level, dz_stretch_level_index, grid_level, ibc_uv_b, &
	201	io_blocks, io_group, inflow_l, inflow_n, inflow_r, inflow_s, &
[1691]	202	masking_method, maximum_grid_level, message_string, &
[1942]	203	momentum_advec, nest_domain, ocean, outflow_l, outflow_n, &
[1762]	204	outflow_r, outflow_s, psolver, scalar_advec, topography, &
[1691]	205	topography_grid_convention, use_surface_fluxes, use_top_fluxes, &
	206	wall_adjustment_factor
[1320]	207
	208	USE grid_variables, &
	209	ONLY: ddx, ddx2, ddx2_mg, ddy, ddy2, ddy2_mg, dx, dx2, dy, dy2, fwxm, &
	210	fwxp, fwym, fwyp, fxm, fxp, fym, fyp, wall_e_x, wall_e_y, &
	211	wall_u, wall_v, wall_w_x, wall_w_y, zu_s_inner, zw_w_inner
	212
	213	USE indices, &
[1942]	214	ONLY: flags, nbgp, nx, nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, &
	215	ny, nyn, nyng, nyn_mg, nys, nys_mg, nysg, nz, nzb, &
[1845]	216	nzb_diff, nzb_diff_s_inner, nzb_diff_s_outer, nzb_diff_u, &
	217	nzb_diff_v, nzb_max, nzb_s_inner, nzb_s_outer, nzb_u_inner, &
	218	nzb_u_outer, nzb_v_inner, nzb_v_outer, nzb_w_inner, &
	219	nzb_w_outer, nzt, nzt_diff, nzt_mg, rflags_invers, &
[1320]	220	rflags_s_inner, wall_flags_0, wall_flags_00, wall_flags_1, &
	221	wall_flags_10, wall_flags_2, wall_flags_3, wall_flags_4, &
	222	wall_flags_5, wall_flags_6, wall_flags_7, wall_flags_8, &
	223	wall_flags_9
	224
	225	USE kinds
	226
[1]	227	USE pegrid
	228
	229	IMPLICIT NONE
	230
[1968]	231	INTEGER(iwp) :: bh !< temporary vertical index of building height
	232	INTEGER(iwp) :: blx !< grid point number of building size along x
	233	INTEGER(iwp) :: bly !< grid point number of building size along y
	234	INTEGER(iwp) :: bxl !< index for left building wall
	235	INTEGER(iwp) :: bxr !< index for right building wall
	236	INTEGER(iwp) :: byn !< index for north building wall
	237	INTEGER(iwp) :: bys !< index for south building wall
	238	INTEGER(iwp) :: ch !< temporary vertical index for canyon height
	239	INTEGER(iwp) :: cwx !< grid point number of canyon size along x
	240	INTEGER(iwp) :: cwy !< grid point number of canyon size along y
	241	INTEGER(iwp) :: cxl !< index for left canyon wall
	242	INTEGER(iwp) :: cxr !< index for right canyon wall
	243	INTEGER(iwp) :: cyn !< index for north canyon wall
	244	INTEGER(iwp) :: cys !< index for south canyon wall
	245	INTEGER(iwp) :: i !< index variable along x
	246	INTEGER(iwp) :: ii !< loop variable for reading topography file
	247	INTEGER(iwp) :: inc !< incremental parameter for coarsening grid level
	248	INTEGER(iwp) :: j !< index variable along y
	249	INTEGER(iwp) :: k !< index variable along z
	250	INTEGER(iwp) :: l !< loop variable
	251	INTEGER(iwp) :: nxl_l !< index of left PE boundary for multigrid level
	252	INTEGER(iwp) :: nxr_l !< index of right PE boundary for multigrid level
	253	INTEGER(iwp) :: nyn_l !< index of north PE boundary for multigrid level
	254	INTEGER(iwp) :: nys_l !< index of south PE boundary for multigrid level
	255	INTEGER(iwp) :: nzb_local_max !< vertical grid index of maximum topography height
	256	INTEGER(iwp) :: nzb_local_min !< vertical grid index of minimum topography height
	257	INTEGER(iwp) :: nzb_si !< dummy index for local nzb_s_inner
	258	INTEGER(iwp) :: nzt_l !< index of top PE boundary for multigrid level
	259	INTEGER(iwp) :: num_hole !< number of holes (in topography) resolved by only one grid point
	260	INTEGER(iwp) :: num_hole_l !< number of holes (in topography) resolved by only one grid point on local PE
	261	INTEGER(iwp) :: num_wall !< number of surrounding vertical walls for a single grid point
	262	INTEGER(iwp) :: skip_n_rows !< counting variable to skip rows while reading topography file
	263	INTEGER(iwp) :: vi !< dummy for vertical influence
[1]	264
[1886]	265	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: &
[1931]	266	vertical_influence !< number of vertical grid points above obstacle where adjustment of near-wall mixing length is required
[1886]	267
[1968]	268	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_nl !< index of north-left corner location to limit near-wall mixing length
	269	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_nr !< north-right
	270	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_sl !< south-left
	271	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_sr !< south-right
	272	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_local !< index for topography top at cell-center
	273	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_tmp !< dummy to calculate topography indices on u- and v-grid
	274	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_l !< distance to adjacent left-facing wall
	275	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_n !< north-facing
	276	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_r !< right-facing
	277	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_s !< right-facing
[1]	278
[1968]	279	REAL(wp) :: dum !< dummy variable to skip columns while reading topography file
[1886]	280	REAL(wp) :: dx_l !< grid spacing along x on different multigrid level
	281	REAL(wp) :: dy_l !< grid spacing along y on different multigrid level
	282	REAL(wp) :: dz_stretched !< stretched vertical grid spacing
[861]	283
[1968]	284	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: topo_height !< input variable for topography height
	285	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zu_s_inner_l !< dummy array on global scale to write topography output array
	286	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zw_w_inner_l !< dummy array on global scale to write topography output array
[1]	287
[667]	288
[1]	289	!
[709]	290	!-- Calculation of horizontal array bounds including ghost layers
[667]	291	nxlg = nxl - nbgp
	292	nxrg = nxr + nbgp
	293	nysg = nys - nbgp
	294	nyng = nyn + nbgp
[709]	295
[667]	296	!
[1]	297	!-- Allocate grid arrays
[1353]	298	ALLOCATE( ddzu(1:nzt+1), ddzw(1:nzt+1), dd2zu(1:nzt), dzu(1:nzt+1), &
[667]	299	dzw(1:nzt+1), l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1) )
[1]	300
	301	!
	302	!-- Compute height of u-levels from constant grid length and dz stretch factors
[1353]	303	IF ( dz == -1.0_wp ) THEN
[254]	304	message_string = 'missing dz'
	305	CALL message( 'init_grid', 'PA0200', 1, 2, 0, 6, 0 )
[1353]	306	ELSEIF ( dz <= 0.0_wp ) THEN
[254]	307	WRITE( message_string, * ) 'dz=',dz,' <= 0.0'
	308	CALL message( 'init_grid', 'PA0201', 1, 2, 0, 6, 0 )
[1]	309	ENDIF
[94]	310
[1]	311	!
[94]	312	!-- Define the vertical grid levels
	313	IF ( .NOT. ocean ) THEN
	314	!
	315	!-- Grid for atmosphere with surface at z=0 (k=0, w-grid).
[843]	316	!-- The second u-level (k=1) corresponds to the top of the
[94]	317	!-- Prandtl-layer.
[667]	318
	319	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
[1353]	320	zu(0) = 0.0_wp
	321	! zu(0) = - dz * 0.5_wp
[667]	322	ELSE
[1353]	323	zu(0) = - dz * 0.5_wp
[667]	324	ENDIF
[1353]	325	zu(1) = dz * 0.5_wp
[1]	326
[94]	327	dz_stretch_level_index = nzt+1
	328	dz_stretched = dz
	329	DO k = 2, nzt+1
	330	IF ( dz_stretch_level <= zu(k-1) .AND. dz_stretched < dz_max ) THEN
	331	dz_stretched = dz_stretched * dz_stretch_factor
	332	dz_stretched = MIN( dz_stretched, dz_max )
	333	IF ( dz_stretch_level_index == nzt+1 ) dz_stretch_level_index = k-1
	334	ENDIF
	335	zu(k) = zu(k-1) + dz_stretched
	336	ENDDO
[1]	337
	338	!
[94]	339	!-- Compute the w-levels. They are always staggered half-way between the
[843]	340	!-- corresponding u-levels. In case of dirichlet bc for u and v at the
	341	!-- ground the first u- and w-level (k=0) are defined at same height (z=0).
	342	!-- The top w-level is extrapolated linearly.
[1353]	343	zw(0) = 0.0_wp
[94]	344	DO k = 1, nzt
[1353]	345	zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp
[94]	346	ENDDO
[1353]	347	zw(nzt+1) = zw(nzt) + 2.0_wp * ( zu(nzt+1) - zw(nzt) )
[1]	348
[94]	349	ELSE
[1]	350	!
[843]	351	!-- Grid for ocean with free water surface is at k=nzt (w-grid).
	352	!-- In case of neumann bc at the ground the first first u-level (k=0) lies
	353	!-- below the first w-level (k=0). In case of dirichlet bc the first u- and
	354	!-- w-level are defined at same height, but staggered from the second level.
	355	!-- The second u-level (k=1) corresponds to the top of the Prandtl-layer.
[1353]	356	zu(nzt+1) = dz * 0.5_wp
	357	zu(nzt) = - dz * 0.5_wp
[94]	358
	359	dz_stretch_level_index = 0
	360	dz_stretched = dz
	361	DO k = nzt-1, 0, -1
[1418]	362	!
	363	!-- The default value of dz_stretch_level is positive, thus the first
	364	!-- condition is always true. Hence, the second condition is necessary.
	365	IF ( dz_stretch_level >= zu(k+1) .AND. dz_stretch_level <= 0.0 &
	366	.AND. dz_stretched < dz_max ) THEN
[94]	367	dz_stretched = dz_stretched * dz_stretch_factor
	368	dz_stretched = MIN( dz_stretched, dz_max )
	369	IF ( dz_stretch_level_index == 0 ) dz_stretch_level_index = k+1
	370	ENDIF
	371	zu(k) = zu(k+1) - dz_stretched
	372	ENDDO
	373
	374	!
	375	!-- Compute the w-levels. They are always staggered half-way between the
[843]	376	!-- corresponding u-levels, except in case of dirichlet bc for u and v
	377	!-- at the ground. In this case the first u- and w-level are defined at
	378	!-- same height. The top w-level (nzt+1) is not used but set for
	379	!-- consistency, since w and all scalar variables are defined up tp nzt+1.
[94]	380	zw(nzt+1) = dz
[1353]	381	zw(nzt) = 0.0_wp
[94]	382	DO k = 0, nzt
[1353]	383	zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp
[94]	384	ENDDO
	385
[843]	386	!
	387	!-- In case of dirichlet bc for u and v the first u- and w-level are defined
	388	!-- at same height.
	389	IF ( ibc_uv_b == 0 ) THEN
	390	zu(0) = zw(0)
	391	ENDIF
	392
[94]	393	ENDIF
	394
	395	!
[1]	396	!-- Compute grid lengths.
	397	DO k = 1, nzt+1
	398	dzu(k) = zu(k) - zu(k-1)
[1353]	399	ddzu(k) = 1.0_wp / dzu(k)
[1]	400	dzw(k) = zw(k) - zw(k-1)
[1353]	401	ddzw(k) = 1.0_wp / dzw(k)
[1]	402	ENDDO
	403
	404	DO k = 1, nzt
[1353]	405	dd2zu(k) = 1.0_wp / ( dzu(k) + dzu(k+1) )
[1]	406	ENDDO
[667]	407
	408	!
[709]	409	!-- The FFT- SOR-pressure solvers assume grid spacings of a staggered grid
	410	!-- everywhere. For the actual grid, the grid spacing at the lowest level
	411	!-- is only dz/2, but should be dz. Therefore, an additional array
	412	!-- containing with appropriate grid information is created for these
	413	!-- solvers.
[1575]	414	IF ( psolver(1:9) /= 'multigrid' ) THEN
[667]	415	ALLOCATE( ddzu_pres(1:nzt+1) )
	416	ddzu_pres = ddzu
[864]	417	ddzu_pres(1) = ddzu_pres(2) ! change for lowest level
[667]	418	ENDIF
[1]	419
	420	!
	421	!-- In case of multigrid method, compute grid lengths and grid factors for the
	422	!-- grid levels
[1575]	423	IF ( psolver(1:9) == 'multigrid' ) THEN
[1]	424
	425	ALLOCATE( ddx2_mg(maximum_grid_level), ddy2_mg(maximum_grid_level), &
	426	dzu_mg(nzb+1:nzt+1,maximum_grid_level), &
	427	dzw_mg(nzb+1:nzt+1,maximum_grid_level), &
	428	f1_mg(nzb+1:nzt,maximum_grid_level), &
	429	f2_mg(nzb+1:nzt,maximum_grid_level), &
	430	f3_mg(nzb+1:nzt,maximum_grid_level) )
	431
	432	dzu_mg(:,maximum_grid_level) = dzu
[667]	433	!
[864]	434	!-- Next line to ensure an equally spaced grid.
	435	dzu_mg(1,maximum_grid_level) = dzu(2)
[709]	436
[1]	437	dzw_mg(:,maximum_grid_level) = dzw
	438	nzt_l = nzt
	439	DO l = maximum_grid_level-1, 1, -1
[1353]	440	dzu_mg(nzb+1,l) = 2.0_wp * dzu_mg(nzb+1,l+1)
	441	dzw_mg(nzb+1,l) = 2.0_wp * dzw_mg(nzb+1,l+1)
[1]	442	nzt_l = nzt_l / 2
	443	DO k = 2, nzt_l+1
	444	dzu_mg(k,l) = dzu_mg(2k-2,l+1) + dzu_mg(2k-1,l+1)
	445	dzw_mg(k,l) = dzw_mg(2k-2,l+1) + dzw_mg(2k-1,l+1)
	446	ENDDO
	447	ENDDO
	448
	449	nzt_l = nzt
	450	dx_l = dx
	451	dy_l = dy
	452	DO l = maximum_grid_level, 1, -1
[1353]	453	ddx2_mg(l) = 1.0_wp / dx_l**2
	454	ddy2_mg(l) = 1.0_wp / dy_l**2
[1]	455	DO k = nzb+1, nzt_l
[1353]	456	f2_mg(k,l) = 1.0_wp / ( dzu_mg(k+1,l) * dzw_mg(k,l) )
	457	f3_mg(k,l) = 1.0_wp / ( dzu_mg(k,l) * dzw_mg(k,l) )
	458	f1_mg(k,l) = 2.0_wp * ( ddx2_mg(l) + ddy2_mg(l) ) + &
[1]	459	f2_mg(k,l) + f3_mg(k,l)
	460	ENDDO
	461	nzt_l = nzt_l / 2
[1353]	462	dx_l = dx_l * 2.0_wp
	463	dy_l = dy_l * 2.0_wp
[1]	464	ENDDO
	465
	466	ENDIF
	467
	468	!
	469	!-- Compute the reciprocal values of the horizontal grid lengths.
[1353]	470	ddx = 1.0_wp / dx
	471	ddy = 1.0_wp / dy
[1]	472	dx2 = dx * dx
	473	dy2 = dy * dy
[1353]	474	ddx2 = 1.0_wp / dx2
	475	ddy2 = 1.0_wp / dy2
[1]	476
	477	!
	478	!-- Compute the grid-dependent mixing length.
	479	DO k = 1, nzt
[1322]	480	l_grid(k) = ( dx * dy * dzw(k) )**0.33333333333333_wp
[1]	481	ENDDO
	482
	483	!
	484	!-- Allocate outer and inner index arrays for topography and set
[114]	485	!-- defaults.
[667]	486
[114]	487	ALLOCATE( corner_nl(nys:nyn,nxl:nxr), corner_nr(nys:nyn,nxl:nxr), &
	488	corner_sl(nys:nyn,nxl:nxr), corner_sr(nys:nyn,nxl:nxr), &
	489	wall_l(nys:nyn,nxl:nxr), wall_n(nys:nyn,nxl:nxr), &
[1968]	490	wall_r(nys:nyn,nxl:nxr), wall_s(nys:nyn,nxl:nxr) )
	491
[667]	492	ALLOCATE( fwxm(nysg:nyng,nxlg:nxrg), fwxp(nysg:nyng,nxlg:nxrg), &
	493	fwym(nysg:nyng,nxlg:nxrg), fwyp(nysg:nyng,nxlg:nxrg), &
	494	fxm(nysg:nyng,nxlg:nxrg), fxp(nysg:nyng,nxlg:nxrg), &
	495	fym(nysg:nyng,nxlg:nxrg), fyp(nysg:nyng,nxlg:nxrg), &
	496	nzb_s_inner(nysg:nyng,nxlg:nxrg), &
	497	nzb_s_outer(nysg:nyng,nxlg:nxrg), &
	498	nzb_u_inner(nysg:nyng,nxlg:nxrg), &
	499	nzb_u_outer(nysg:nyng,nxlg:nxrg), &
	500	nzb_v_inner(nysg:nyng,nxlg:nxrg), &
	501	nzb_v_outer(nysg:nyng,nxlg:nxrg), &
	502	nzb_w_inner(nysg:nyng,nxlg:nxrg), &
	503	nzb_w_outer(nysg:nyng,nxlg:nxrg), &
	504	nzb_diff_s_inner(nysg:nyng,nxlg:nxrg), &
	505	nzb_diff_s_outer(nysg:nyng,nxlg:nxrg), &
	506	nzb_diff_u(nysg:nyng,nxlg:nxrg), &
	507	nzb_diff_v(nysg:nyng,nxlg:nxrg), &
[1968]	508	nzb_local(nysg:nyng,nxlg:nxrg), &
	509	nzb_tmp(nysg:nyng,nxlg:nxrg), &
[1221]	510	rflags_s_inner(nzb:nzt+2,nysg:nyng,nxlg:nxrg), &
	511	rflags_invers(nysg:nyng,nxlg:nxrg,nzb:nzt+2), &
[667]	512	wall_e_x(nysg:nyng,nxlg:nxrg), &
	513	wall_e_y(nysg:nyng,nxlg:nxrg), &
	514	wall_u(nysg:nyng,nxlg:nxrg), &
	515	wall_v(nysg:nyng,nxlg:nxrg), &
	516	wall_w_x(nysg:nyng,nxlg:nxrg), &
	517	wall_w_y(nysg:nyng,nxlg:nxrg) )
[1]	518
	519
[667]	520
	521	ALLOCATE( l_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	522
[818]	523
[1]	524	nzb_s_inner = nzb; nzb_s_outer = nzb
	525	nzb_u_inner = nzb; nzb_u_outer = nzb
	526	nzb_v_inner = nzb; nzb_v_outer = nzb
	527	nzb_w_inner = nzb; nzb_w_outer = nzb
	528
[1353]	529	rflags_s_inner = 1.0_wp
	530	rflags_invers = 1.0_wp
[1221]	531
[1]	532	!
[19]	533	!-- Define vertical gridpoint from (or to) which on the usual finite difference
[1]	534	!-- form (which does not use surface fluxes) is applied
[1691]	535	IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN
[1]	536	nzb_diff = nzb + 2
	537	ELSE
	538	nzb_diff = nzb + 1
	539	ENDIF
[19]	540	IF ( use_top_fluxes ) THEN
	541	nzt_diff = nzt - 1
	542	ELSE
	543	nzt_diff = nzt
	544	ENDIF
[1]	545
	546	nzb_diff_s_inner = nzb_diff; nzb_diff_s_outer = nzb_diff
	547	nzb_diff_u = nzb_diff; nzb_diff_v = nzb_diff
	548
[1353]	549	wall_e_x = 0.0_wp; wall_e_y = 0.0_wp; wall_u = 0.0_wp; wall_v = 0.0_wp
	550	wall_w_x = 0.0_wp; wall_w_y = 0.0_wp
	551	fwxp = 1.0_wp; fwxm = 1.0_wp; fwyp = 1.0_wp; fwym = 1.0_wp
	552	fxp = 1.0_wp; fxm = 1.0_wp; fyp = 1.0_wp; fym = 1.0_wp
[1]	553
	554	!
	555	!-- Initialize near-wall mixing length l_wall only in the vertical direction
	556	!-- for the moment,
	557	!-- multiplication with wall_adjustment_factor near the end of this routine
	558	l_wall(nzb,:,:) = l_grid(1)
	559	DO k = nzb+1, nzt
	560	l_wall(k,:,:) = l_grid(k)
	561	ENDDO
	562	l_wall(nzt+1,:,:) = l_grid(nzt)
	563
	564	ALLOCATE ( vertical_influence(nzb:nzt) )
	565	DO k = 1, nzt
	566	vertical_influence(k) = MIN ( INT( l_grid(k) / &
[1353]	567	( wall_adjustment_factor * dzw(k) ) + 0.5_wp ), nzt - k )
[1]	568	ENDDO
	569
[1968]	570	DO k = 1, nzt
[1353]	571	IF ( l_grid(k) > 1.5_wp * dx * wall_adjustment_factor .OR. &
	572	l_grid(k) > 1.5_wp * dy * wall_adjustment_factor ) THEN
[254]	573	WRITE( message_string, * ) 'grid anisotropy exceeds ', &
	574	'threshold given by only local', &
	575	' &horizontal reduction of near_wall ', &
	576	'mixing length l_wall', &
	577	' &starting from height level k = ', k, '.'
	578	CALL message( 'init_grid', 'PA0202', 0, 1, 0, 6, 0 )
[1]	579	EXIT
	580	ENDIF
	581	ENDDO
	582	vertical_influence(0) = vertical_influence(1)
	583
[1968]	584	DO k = nzb + 1, nzb + vertical_influence(nzb)
	585	l_wall(k,:,:) = zu(k) - zw(nzb)
[1]	586	ENDDO
	587
	588	!
	589	!-- Set outer and inner index arrays for non-flat topography.
	590	!-- Here consistency checks concerning domain size and periodicity are
	591	!-- necessary.
	592	!-- Within this SELECT CASE structure only nzb_local is initialized
	593	!-- individually depending on the chosen topography type, all other index
	594	!-- arrays are initialized further below.
	595	SELECT CASE ( TRIM( topography ) )
	596
	597	CASE ( 'flat' )
	598	!
[555]	599	!-- nzb_local is required for the multigrid solver
	600	nzb_local = 0
[1]	601
	602	CASE ( 'single_building' )
	603	!
	604	!-- Single rectangular building, by default centered in the middle of the
	605	!-- total domain
	606	blx = NINT( building_length_x / dx )
	607	bly = NINT( building_length_y / dy )
[1675]	608	bh = MINLOC( ABS( zw - building_height ), 1 ) - 1
	609	IF ( ABS( zw(bh ) - building_height ) == &
	610	ABS( zw(bh+1) - building_height ) ) bh = bh + 1
[1]	611
[1322]	612	IF ( building_wall_left == 9999999.9_wp ) THEN
[1]	613	building_wall_left = ( nx + 1 - blx ) / 2 * dx
	614	ENDIF
	615	bxl = NINT( building_wall_left / dx )
	616	bxr = bxl + blx
	617
[1322]	618	IF ( building_wall_south == 9999999.9_wp ) THEN
[1]	619	building_wall_south = ( ny + 1 - bly ) / 2 * dy
	620	ENDIF
	621	bys = NINT( building_wall_south / dy )
	622	byn = bys + bly
	623
	624	!
	625	!-- Building size has to meet some requirements
	626	IF ( ( bxl < 1 ) .OR. ( bxr > nx-1 ) .OR. ( bxr < bxl+3 ) .OR. &
	627	( bys < 1 ) .OR. ( byn > ny-1 ) .OR. ( byn < bys+3 ) ) THEN
[274]	628	WRITE( message_string, * ) 'inconsistent building parameters:', &
	629	'& bxl=', bxl, 'bxr=', bxr, 'bys=', bys, &
	630	'byn=', byn, 'nx=', nx, 'ny=', ny
[254]	631	CALL message( 'init_grid', 'PA0203', 1, 2, 0, 6, 0 )
[1]	632	ENDIF
	633
	634	!
[1968]	635	!-- Define the building.
[1]	636	nzb_local = 0
[1968]	637	IF ( bxl <= nxr .AND. bxr >= nxl .AND. &
	638	bys <= nyn .AND. byn >= nys ) &
	639	nzb_local(MAX(nys,bys):MIN(nyn,byn),MAX(nxl,bxl):MIN(nxr,bxr)) = bh
[1]	640
[240]	641	CASE ( 'single_street_canyon' )
	642	!
	643	!-- Single quasi-2D street canyon of infinite length in x or y direction.
	644	!-- The canyon is centered in the other direction by default.
[1322]	645	IF ( canyon_width_x /= 9999999.9_wp ) THEN
[240]	646	!
	647	!-- Street canyon in y direction
	648	cwx = NINT( canyon_width_x / dx )
[1322]	649	IF ( canyon_wall_left == 9999999.9_wp ) THEN
[240]	650	canyon_wall_left = ( nx + 1 - cwx ) / 2 * dx
	651	ENDIF
	652	cxl = NINT( canyon_wall_left / dx )
	653	cxr = cxl + cwx
	654
[1322]	655	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
[240]	656	!
	657	!-- Street canyon in x direction
	658	cwy = NINT( canyon_width_y / dy )
[1322]	659	IF ( canyon_wall_south == 9999999.9_wp ) THEN
[240]	660	canyon_wall_south = ( ny + 1 - cwy ) / 2 * dy
	661	ENDIF
	662	cys = NINT( canyon_wall_south / dy )
	663	cyn = cys + cwy
	664
	665	ELSE
[254]	666
	667	message_string = 'no street canyon width given'
	668	CALL message( 'init_grid', 'PA0204', 1, 2, 0, 6, 0 )
	669
[240]	670	ENDIF
	671
[1675]	672	ch = MINLOC( ABS( zw - canyon_height ), 1 ) - 1
	673	IF ( ABS( zw(ch ) - canyon_height ) == &
	674	ABS( zw(ch+1) - canyon_height ) ) ch = ch + 1
	675
[240]	676	dp_level_ind_b = ch
	677	!
	678	!-- Street canyon size has to meet some requirements
[1322]	679	IF ( canyon_width_x /= 9999999.9_wp ) THEN
[1353]	680	IF ( ( cxl < 1 ) .OR. ( cxr > nx-1 ) .OR. ( cwx < 3 ) .OR. &
[240]	681	( ch < 3 ) ) THEN
[1353]	682	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
	683	'&cxl=', cxl, 'cxr=', cxr, &
	684	'cwx=', cwx, &
[254]	685	'ch=', ch, 'nx=', nx, 'ny=', ny
	686	CALL message( 'init_grid', 'PA0205', 1, 2, 0, 6, 0 )
[240]	687	ENDIF
[1322]	688	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
[1353]	689	IF ( ( cys < 1 ) .OR. ( cyn > ny-1 ) .OR. ( cwy < 3 ) .OR. &
[240]	690	( ch < 3 ) ) THEN
[1353]	691	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
	692	'&cys=', cys, 'cyn=', cyn, &
	693	'cwy=', cwy, &
[254]	694	'ch=', ch, 'nx=', nx, 'ny=', ny
	695	CALL message( 'init_grid', 'PA0206', 1, 2, 0, 6, 0 )
[240]	696	ENDIF
	697	ENDIF
[1353]	698	IF ( canyon_width_x /= 9999999.9_wp .AND. &
	699	canyon_width_y /= 9999999.9_wp ) THEN
	700	message_string = 'inconsistent canyon parameters:' // &
	701	'&street canyon can only be oriented' // &
[254]	702	'&either in x- or in y-direction'
	703	CALL message( 'init_grid', 'PA0207', 1, 2, 0, 6, 0 )
[240]	704	ENDIF
	705
	706	nzb_local = ch
[1322]	707	IF ( canyon_width_x /= 9999999.9_wp ) THEN
[1968]	708	IF ( cxl <= nxr .AND. cxr >= nxl ) &
	709	nzb_local(:,MAX(nxl,cxl+1):MIN(nxr,cxr-1)) = 0
[1322]	710	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
[1968]	711	IF ( cys <= nyn .AND. cyn >= nys ) &
	712	nzb_local(MAX(nys,cys+1):MIN(nyn,cyn-1),:) = 0
[240]	713	ENDIF
	714
[1]	715	CASE ( 'read_from_file' )
[759]	716
[1968]	717	ALLOCATE ( topo_height(nys:nyn,nxl:nxr) )
[818]	718
[759]	719	DO ii = 0, io_blocks-1
	720	IF ( ii == io_group ) THEN
	721
[1]	722	!
[759]	723	!-- Arbitrary irregular topography data in PALM format (exactly
	724	!-- matching the grid size and total domain size)
[1779]	725	OPEN( 90, FILE='TOPOGRAPHY_DATA'//TRIM( coupling_char ), &
	726	STATUS='OLD', FORM='FORMATTED', ERR=10 )
[1968]	727	!
	728	!-- Read topography PE-wise. Rows are read from nyn to nys, columns
	729	!-- are read from nxl to nxr. At first, ny-nyn rows need to be skipped.
	730	skip_n_rows = 0
	731	DO WHILE ( skip_n_rows < ny - nyn )
	732	READ( 90, * )
	733	skip_n_rows = skip_n_rows + 1
[759]	734	ENDDO
[1968]	735	!
	736	!-- Read data from nyn to nys and nxl to nxr. Therefore, skip
	737	!-- column until nxl-1 is reached
	738	DO j = nyn, nys, -1
	739	READ( 90, *, ERR=11, END=11 ) &
	740	( dum, i = 0, nxl-1 ), &
	741	( topo_height(j,i), i = nxl, nxr )
	742	ENDDO
[759]	743
	744	GOTO 12
	745
[1779]	746	10 message_string = 'file TOPOGRAPHY'//TRIM( coupling_char )// &
	747	' does not exist'
[759]	748	CALL message( 'init_grid', 'PA0208', 1, 2, 0, 6, 0 )
	749
[1779]	750	11 message_string = 'errors in file TOPOGRAPHY_DATA'// &
	751	TRIM( coupling_char )
[759]	752	CALL message( 'init_grid', 'PA0209', 1, 2, 0, 6, 0 )
	753
	754	12 CLOSE( 90 )
	755
	756	ENDIF
[1804]	757	#if defined( __parallel )
[759]	758	CALL MPI_BARRIER( comm2d, ierr )
	759	#endif
[559]	760	ENDDO
[759]	761
[1]	762	!
	763	!-- Calculate the index height of the topography
[1968]	764	nzb_local = 0
	765	DO i = nxl, nxr
	766	DO j = nys, nyn
[1675]	767	nzb_local(j,i) = MINLOC( ABS( zw - topo_height(j,i) ), 1 ) - 1
	768	IF ( ABS( zw(nzb_local(j,i) ) - topo_height(j,i) ) == &
	769	ABS( zw(nzb_local(j,i)+1) - topo_height(j,i) ) ) &
	770	nzb_local(j,i) = nzb_local(j,i) + 1
[1]	771	ENDDO
	772	ENDDO
[818]	773
	774	DEALLOCATE ( topo_height )
[1942]	775	!
	776	!-- Filter topography, i.e. fill holes resolved by only one grid point.
	777	!-- Such holes are suspected to lead to velocity blow-ups as continuity
	778	!-- equation on discrete grid cannot be fulfilled in such case.
	779	!-- For now, check only for holes and fill them to the lowest height level
	780	!-- of the directly adjoining grid points along x- and y- direction.
	781	!-- Before checking for holes, set lateral boundary conditions for
	782	!-- topography. After hole-filling, boundary conditions must be set again!
[1968]	783	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	784
	785	IF ( .NOT. bc_ns_cyc ) THEN
	786	IF ( nys == 0 ) nzb_local(-1,:) = nzb_local(0,:)
	787	IF ( nyn == ny ) nzb_local(ny+1,:) = nzb_local(ny,:)
[1942]	788	ENDIF
[1910]	789
[1968]	790	IF ( .NOT. bc_lr_cyc ) THEN
	791	IF ( nxl == 0 ) nzb_local(:,-1) = nzb_local(:,0)
	792	IF ( nxr == nx ) nzb_local(:,nx+1) = nzb_local(:,nx)
[1942]	793	ENDIF
	794
[1968]	795	num_hole_l = 0
	796	DO i = nxl, nxr
	797	DO j = nys, nyn
[1942]	798
	799	num_wall = 0
	800
	801	IF ( nzb_local(j-1,i) > nzb_local(j,i) ) &
	802	num_wall = num_wall + 1
	803	IF ( nzb_local(j+1,i) > nzb_local(j,i) ) &
	804	num_wall = num_wall + 1
	805	IF ( nzb_local(j,i-1) > nzb_local(j,i) ) &
	806	num_wall = num_wall + 1
	807	IF ( nzb_local(j,i+1) > nzb_local(j,i) ) &
	808	num_wall = num_wall + 1
	809
	810	IF ( num_wall == 4 ) THEN
	811	nzb_local(j,i) = MIN( nzb_local(j-1,i), nzb_local(j+1,i), &
	812	nzb_local(j,i-1), nzb_local(j,i+1) )
[1968]	813	num_hole_l = num_hole_l + 1
[1942]	814	ENDIF
	815	ENDDO
	816	ENDDO
[114]	817	!
[1968]	818	!-- Count the total number of holes, required for informative message.
	819	#if defined( __parallel )
	820	CALL MPI_ALLREDUCE( num_hole_l, num_hole, 1, MPI_INTEGER, MPI_SUM, &
	821	comm2d, ierr )
	822	#else
	823	num_hole = num_hole_l
	824	#endif
	825	!
[1942]	826	!-- Create an informative message if any hole was removed.
[1968]	827	IF ( num_hole > 0 ) THEN
[1942]	828	WRITE( message_string, * ) num_hole, 'hole(s) resolved by only '//&
	829	'one grid point were filled'
	830	CALL message( 'init_grid', 'PA0430', 0, 0, 0, 6, 0 )
	831	ENDIF
	832	!
[1968]	833	!-- Exchange ghost-points, as well as add cyclic or Neumann boundary
	834	!-- conditions.
	835	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	836
	837	IF ( .NOT. bc_ns_cyc ) THEN
	838	IF ( nys == 0 ) nzb_local(-1,:) = nzb_local(0,:)
	839	IF ( nyn == ny ) nzb_local(ny+1,:) = nzb_local(ny,:)
[1910]	840	ENDIF
[667]	841
[1968]	842	IF ( .NOT. bc_lr_cyc ) THEN
	843	IF ( nxl == 0 ) nzb_local(:,-1) = nzb_local(:,0)
	844	IF ( nxr == nx ) nzb_local(:,nx+1) = nzb_local(:,nx)
[1910]	845	ENDIF
	846
[1]	847	CASE DEFAULT
	848	!
	849	!-- The DEFAULT case is reached either if the parameter topography
[217]	850	!-- contains a wrong character string or if the user has defined a special
[1]	851	!-- case in the user interface. There, the subroutine user_init_grid
	852	!-- checks which of these two conditions applies.
[1968]	853	CALL user_init_grid( nzb_local )
[1]	854
	855	END SELECT
	856	!
[861]	857	!-- Determine the maximum level of topography. Furthermore it is used for
	858	!-- steering the degradation of order of the applied advection scheme.
[978]	859	!-- In case of non-cyclic lateral boundaries, the order of the advection
[1968]	860	!-- scheme has to be reduced up to nzt (required at the lateral boundaries).
	861	#if defined( __parallel )
	862	CALL MPI_ALLREDUCE( MAXVAL( nzb_local ) + 1, nzb_max, 1, MPI_INTEGER, &
	863	MPI_MAX, comm2d, ierr )
	864	#else
[1677]	865	nzb_max = MAXVAL( nzb_local ) + 1
[1968]	866	#endif
[1353]	867	IF ( inflow_l .OR. outflow_l .OR. inflow_r .OR. outflow_r .OR. &
[1762]	868	inflow_n .OR. outflow_n .OR. inflow_s .OR. outflow_s .OR. &
	869	nest_domain ) &
	870	THEN
	871	nzb_max = nzt
[978]	872	ENDIF
	873
[861]	874	!
[1]	875	!-- Consistency checks and index array initialization are only required for
[217]	876	!-- non-flat topography, also the initialization of topography height arrays
[49]	877	!-- zu_s_inner and zw_w_inner
[1]	878	IF ( TRIM( topography ) /= 'flat' ) THEN
[1968]	879	#if defined( __parallel )
	880	CALL MPI_ALLREDUCE( MAXVAL( nzb_local ), nzb_local_max, 1, MPI_INTEGER, &
	881	MPI_MAX, comm2d, ierr )
	882	CALL MPI_ALLREDUCE( MAXVAL( nzb_local ), nzb_local_min, 1, MPI_INTEGER, &
	883	MPI_MIN, comm2d, ierr )
	884	#else
	885	nzb_local_max = MAXVAL( nzb_local )
	886	nzb_local_min = MINVAL( nzb_local )
	887	#endif
[1]	888	!
	889	!-- Consistency checks
[1968]	890	IF ( nzb_local_min < 0 .OR. nzb_local_max > nz + 1 ) THEN
[1353]	891	WRITE( message_string, * ) 'nzb_local values are outside the', &
	892	'model domain', &
[1968]	893	'&MINVAL( nzb_local ) = ', nzb_local_min, &
	894	'&MAXVAL( nzb_local ) = ', nzb_local_max
[254]	895	CALL message( 'init_grid', 'PA0210', 1, 2, 0, 6, 0 )
[1]	896	ENDIF
	897
[217]	898	IF ( topography_grid_convention == 'cell_edge' ) THEN
[134]	899	!
[217]	900	!-- The array nzb_local as defined using the 'cell_edge' convention
	901	!-- describes the actual total size of topography which is defined at the
	902	!-- cell edges where u=0 on the topography walls in x-direction and v=0
	903	!-- on the topography walls in y-direction. However, PALM uses individual
	904	!-- arrays nzb_u\|v\|w\|s_inner\|outer that are based on nzb_s_inner.
	905	!-- Therefore, the extent of topography in nzb_local is now reduced by
	906	!-- 1dx at the E topography walls and by 1dy at the N topography walls
[1968]	907	!-- to form the basis for nzb_s_inner.
	908	!-- Note, the reverse memory access (i-j instead of j-i) is absolutely
	909	!-- required at this point.
	910	DO j = nys+1, nyn+1
	911	DO i = nxl-1, nxr
[217]	912	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j,i+1) )
	913	ENDDO
[134]	914	ENDDO
[1968]	915	!
	916	!-- Exchange ghost points
	917	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	918
	919	DO i = nxl, nxr+1
	920	DO j = nys-1, nyn
[217]	921	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j+1,i) )
	922	ENDDO
[134]	923	ENDDO
[1968]	924	!
	925	!-- Exchange ghost points
	926	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
[217]	927	ENDIF
[1]	928	!
	929	!-- Initialize index arrays nzb_s_inner and nzb_w_inner
[1968]	930	nzb_s_inner = nzb_local
	931	nzb_w_inner = nzb_local
[1]	932
	933	!
	934	!-- Initialize remaining index arrays:
	935	!-- first pre-initialize them with nzb_s_inner...
	936	nzb_u_inner = nzb_s_inner
	937	nzb_u_outer = nzb_s_inner
	938	nzb_v_inner = nzb_s_inner
	939	nzb_v_outer = nzb_s_inner
	940	nzb_w_outer = nzb_s_inner
	941	nzb_s_outer = nzb_s_inner
	942
	943	!
	944	!-- ...then extend pre-initialized arrays in their according directions
	945	!-- based on nzb_local using nzb_tmp as a temporary global index array
	946
	947	!
	948	!-- nzb_s_outer:
	949	!-- extend nzb_local east-/westwards first, then north-/southwards
[1968]	950	nzb_tmp = nzb_local
	951	DO j = nys, nyn
	952	DO i = nxl, nxr
[1353]	953	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i), &
[1]	954	nzb_local(j,i+1) )
	955	ENDDO
	956	ENDDO
[1968]	957
	958	CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp )
	959
[1]	960	DO i = nxl, nxr
	961	DO j = nys, nyn
[1353]	962	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
[1]	963	nzb_tmp(j+1,i) )
	964	ENDDO
	965	!
	966	!-- non-cyclic boundary conditions (overwritten by call of
	967	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	968	IF ( nys == 0 ) THEN
	969	j = -1
	970	nzb_s_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
	971	ENDIF
[1743]	972	IF ( nyn == ny ) THEN
[1]	973	j = ny + 1
	974	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
	975	ENDIF
	976	ENDDO
	977	!
	978	!-- nzb_w_outer:
	979	!-- identical to nzb_s_outer
	980	nzb_w_outer = nzb_s_outer
	981
	982	!
	983	!-- nzb_u_inner:
	984	!-- extend nzb_local rightwards only
[1968]	985	nzb_tmp = nzb_local
	986	DO j = nys, nyn
	987	DO i = nxl, nxr
[1]	988	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i) )
	989	ENDDO
	990	ENDDO
[1968]	991
	992	CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp )
	993
	994	nzb_u_inner = nzb_tmp
[1]	995	!
	996	!-- nzb_u_outer:
	997	!-- extend current nzb_tmp (nzb_u_inner) north-/southwards
	998	DO i = nxl, nxr
	999	DO j = nys, nyn
[1353]	1000	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
[1]	1001	nzb_tmp(j+1,i) )
	1002	ENDDO
	1003	!
	1004	!-- non-cyclic boundary conditions (overwritten by call of
	1005	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	1006	IF ( nys == 0 ) THEN
	1007	j = -1
	1008	nzb_u_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
	1009	ENDIF
[1743]	1010	IF ( nyn == ny ) THEN
[1]	1011	j = ny + 1
	1012	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
	1013	ENDIF
	1014	ENDDO
	1015
	1016	!
	1017	!-- nzb_v_inner:
	1018	!-- extend nzb_local northwards only
[1968]	1019	nzb_tmp = nzb_local
	1020	DO i = nxl, nxr
	1021	DO j = nys, nyn
[1]	1022	nzb_tmp(j,i) = MAX( nzb_local(j-1,i), nzb_local(j,i) )
	1023	ENDDO
	1024	ENDDO
[1968]	1025
	1026	CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp )
	1027	nzb_v_inner = nzb_tmp
[1]	1028
	1029	!
	1030	!-- nzb_v_outer:
	1031	!-- extend current nzb_tmp (nzb_v_inner) right-/leftwards
	1032	DO j = nys, nyn
	1033	DO i = nxl, nxr
[1353]	1034	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i), &
[1]	1035	nzb_tmp(j,i+1) )
	1036	ENDDO
	1037	!
	1038	!-- non-cyclic boundary conditions (overwritten by call of
	1039	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	1040	IF ( nxl == 0 ) THEN
	1041	i = -1
	1042	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i+1), nzb_tmp(j,i) )
	1043	ENDIF
	1044	IF ( nxr == nx ) THEN
	1045	i = nx + 1
	1046	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i) )
	1047	ENDIF
	1048	ENDDO
[1804]	1049
[1]	1050	!
	1051	!-- Exchange of lateral boundary values (parallel computers) and cyclic
	1052	!-- boundary conditions, if applicable.
	1053	!-- Since nzb_s_inner and nzb_w_inner are derived directly from nzb_local
	1054	!-- they do not require exchange and are not included here.
[1968]	1055	CALL exchange_horiz_2d_int( nzb_u_inner, nys, nyn, nxl, nxr, nbgp )
	1056	CALL exchange_horiz_2d_int( nzb_u_outer, nys, nyn, nxl, nxr, nbgp )
	1057	CALL exchange_horiz_2d_int( nzb_v_inner, nys, nyn, nxl, nxr, nbgp )
	1058	CALL exchange_horiz_2d_int( nzb_v_outer, nys, nyn, nxl, nxr, nbgp )
	1059	CALL exchange_horiz_2d_int( nzb_w_outer, nys, nyn, nxl, nxr, nbgp )
	1060	CALL exchange_horiz_2d_int( nzb_s_outer, nys, nyn, nxl, nxr, nbgp )
[1]	1061
[49]	1062	!
	1063	!-- Allocate and set the arrays containing the topography height
[1968]	1064	ALLOCATE( zu_s_inner(0:nx+1,0:ny+1), zw_w_inner(0:nx+1,0:ny+1), &
	1065	zu_s_inner_l(0:nx+1,0:ny+1), zw_w_inner_l(0:nx+1,0:ny+1) )
	1066
	1067	zu_s_inner = 0.0_wp
	1068	zw_w_inner = 0.0_wp
	1069	zu_s_inner_l = 0.0_wp
	1070	zw_w_inner_l = 0.0_wp
	1071
	1072	DO i = nxl, nxr
	1073	DO j = nys, nyn
	1074	zu_s_inner_l(i,j) = zu(nzb_local(j,i))
	1075	zw_w_inner_l(i,j) = zw(nzb_local(j,i))
	1076	ENDDO
	1077	ENDDO
	1078
	1079	#if defined( __parallel )
	1080	CALL MPI_REDUCE( zu_s_inner_l, zu_s_inner, (nx+2)*(ny+2), &
	1081	MPI_REAL, MPI_SUM, 0, comm2d, ierr )
	1082	CALL MPI_REDUCE( zw_w_inner_l, zw_w_inner, (nx+2)*(ny+2), &
	1083	MPI_REAL, MPI_SUM, 0, comm2d, ierr )
	1084	#else
	1085	zu_s_inner = zu_s_inner_l
	1086	zw_w_inner = zw_w_inner_l
	1087	#endif
[49]	1088
[1968]	1089	DEALLOCATE( zu_s_inner_l, zw_w_inner_l )
	1090	IF ( myid /= 0 ) DEALLOCATE( zu_s_inner, zw_w_inner )
[1221]	1091	!
[1968]	1092	!-- Set south and left ghost points, required for netcdf output
	1093	IF ( myid == 0 ) THEN
	1094	IF( bc_lr_cyc ) THEN
	1095	zu_s_inner(nx+1,:) = zu_s_inner(0,:)
	1096	zw_w_inner(nx+1,:) = zw_w_inner(0,:)
	1097	ELSE
	1098	zu_s_inner(nx+1,:) = zu_s_inner(nx,:)
	1099	zw_w_inner(nx+1,:) = zw_w_inner(nx,:)
	1100	ENDIF
	1101	IF( bc_ns_cyc ) THEN
	1102	zu_s_inner(:,ny+1) = zu_s_inner(:,0)
	1103	zw_w_inner(:,ny+1) = zw_w_inner(:,0)
	1104	ELSE
	1105	zu_s_inner(:,ny+1) = zu_s_inner(:,ny)
	1106	zw_w_inner(:,ny+1) = zw_w_inner(:,ny)
	1107	ENDIF
	1108	ENDIF
	1109	!
[1221]	1110	!-- Set flag arrays to be used for masking of grid points
	1111	DO i = nxlg, nxrg
	1112	DO j = nysg, nyng
	1113	DO k = nzb, nzt+1
[1353]	1114	IF ( k <= nzb_s_inner(j,i) ) rflags_s_inner(k,j,i) = 0.0_wp
	1115	IF ( k <= nzb_s_inner(j,i) ) rflags_invers(j,i,k) = 0.0_wp
[1221]	1116	ENDDO
	1117	ENDDO
	1118	ENDDO
[1804]	1119
[1]	1120	ENDIF
[1968]	1121	!
	1122	!-- Deallocate temporary array, as it might be reused for different
	1123	!-- grid-levels further below.
	1124	DEALLOCATE( nzb_tmp )
[1]	1125
	1126	!
	1127	!-- Set the individual index arrays which define the k index from which on
	1128	!-- the usual finite difference form (which does not use surface fluxes) is
	1129	!-- applied
[1691]	1130	IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN
[1]	1131	nzb_diff_u = nzb_u_inner + 2
	1132	nzb_diff_v = nzb_v_inner + 2
	1133	nzb_diff_s_inner = nzb_s_inner + 2
	1134	nzb_diff_s_outer = nzb_s_outer + 2
	1135	ELSE
	1136	nzb_diff_u = nzb_u_inner + 1
	1137	nzb_diff_v = nzb_v_inner + 1
	1138	nzb_diff_s_inner = nzb_s_inner + 1
	1139	nzb_diff_s_outer = nzb_s_outer + 1
	1140	ENDIF
	1141
	1142	!
	1143	!-- Calculation of wall switches and factors required by diffusion_u/v.f90 and
	1144	!-- for limitation of near-wall mixing length l_wall further below
	1145	corner_nl = 0
	1146	corner_nr = 0
	1147	corner_sl = 0
	1148	corner_sr = 0
	1149	wall_l = 0
	1150	wall_n = 0
	1151	wall_r = 0
	1152	wall_s = 0
	1153
	1154	DO i = nxl, nxr
	1155	DO j = nys, nyn
	1156	!
	1157	!-- u-component
	1158	IF ( nzb_u_outer(j,i) > nzb_u_outer(j+1,i) ) THEN
[1353]	1159	wall_u(j,i) = 1.0_wp ! north wall (location of adjacent fluid)
	1160	fym(j,i) = 0.0_wp
	1161	fyp(j,i) = 1.0_wp
[1]	1162	ELSEIF ( nzb_u_outer(j,i) > nzb_u_outer(j-1,i) ) THEN
[1353]	1163	wall_u(j,i) = 1.0_wp ! south wall (location of adjacent fluid)
	1164	fym(j,i) = 1.0_wp
	1165	fyp(j,i) = 0.0_wp
[1]	1166	ENDIF
	1167	!
	1168	!-- v-component
	1169	IF ( nzb_v_outer(j,i) > nzb_v_outer(j,i+1) ) THEN
[1353]	1170	wall_v(j,i) = 1.0_wp ! rigth wall (location of adjacent fluid)
	1171	fxm(j,i) = 0.0_wp
	1172	fxp(j,i) = 1.0_wp
[1]	1173	ELSEIF ( nzb_v_outer(j,i) > nzb_v_outer(j,i-1) ) THEN
[1353]	1174	wall_v(j,i) = 1.0_wp ! left wall (location of adjacent fluid)
	1175	fxm(j,i) = 1.0_wp
	1176	fxp(j,i) = 0.0_wp
[1]	1177	ENDIF
	1178	!
	1179	!-- w-component, also used for scalars, separate arrays for shear
	1180	!-- production of tke
	1181	IF ( nzb_w_outer(j,i) > nzb_w_outer(j+1,i) ) THEN
[1353]	1182	wall_e_y(j,i) = 1.0_wp ! north wall (location of adjacent fluid)
	1183	wall_w_y(j,i) = 1.0_wp
	1184	fwym(j,i) = 0.0_wp
	1185	fwyp(j,i) = 1.0_wp
[1]	1186	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j-1,i) ) THEN
[1353]	1187	wall_e_y(j,i) = -1.0_wp ! south wall (location of adjacent fluid)
	1188	wall_w_y(j,i) = 1.0_wp
	1189	fwym(j,i) = 1.0_wp
	1190	fwyp(j,i) = 0.0_wp
[1]	1191	ENDIF
	1192	IF ( nzb_w_outer(j,i) > nzb_w_outer(j,i+1) ) THEN
[1353]	1193	wall_e_x(j,i) = 1.0_wp ! right wall (location of adjacent fluid)
	1194	wall_w_x(j,i) = 1.0_wp
	1195	fwxm(j,i) = 0.0_wp
	1196	fwxp(j,i) = 1.0_wp
[1]	1197	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j,i-1) ) THEN
[1353]	1198	wall_e_x(j,i) = -1.0_wp ! left wall (location of adjacent fluid)
	1199	wall_w_x(j,i) = 1.0_wp
	1200	fwxm(j,i) = 1.0_wp
	1201	fwxp(j,i) = 0.0_wp
[1]	1202	ENDIF
	1203	!
	1204	!-- Wall and corner locations inside buildings for limitation of
	1205	!-- near-wall mixing length l_wall
	1206	IF ( nzb_s_inner(j,i) > nzb_s_inner(j+1,i) ) THEN
	1207
	1208	wall_n(j,i) = nzb_s_inner(j+1,i) + 1 ! North wall
	1209
	1210	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	1211	corner_nl(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northleft corner
	1212	nzb_s_inner(j,i-1) ) + 1
	1213	ENDIF
	1214
	1215	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	1216	corner_nr(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northright corner
	1217	nzb_s_inner(j,i+1) ) + 1
	1218	ENDIF
	1219
	1220	ENDIF
	1221
	1222	IF ( nzb_s_inner(j,i) > nzb_s_inner(j-1,i) ) THEN
	1223
	1224	wall_s(j,i) = nzb_s_inner(j-1,i) + 1 ! South wall
	1225	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	1226	corner_sl(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southleft corner
	1227	nzb_s_inner(j,i-1) ) + 1
	1228	ENDIF
	1229
	1230	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	1231	corner_sr(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southright corner
	1232	nzb_s_inner(j,i+1) ) + 1
	1233	ENDIF
	1234
	1235	ENDIF
	1236
	1237	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	1238	wall_l(j,i) = nzb_s_inner(j,i-1) + 1 ! Left wall
	1239	ENDIF
	1240
	1241	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	1242	wall_r(j,i) = nzb_s_inner(j,i+1) + 1 ! Right wall
	1243	ENDIF
	1244
	1245	ENDDO
	1246	ENDDO
	1247	!
[1931]	1248	!-- Calculate wall flag arrays for the multigrid method.
	1249	!-- Please note, wall flags are only applied in the not cache-optimized
	1250	!-- version.
	1251	IF ( psolver == 'multigrid_noopt' ) THEN
[1968]	1252
[114]	1253	!
[1968]	1254	!-- Gridpoint increment of the current level.
[114]	1255	inc = 1
	1256	DO l = maximum_grid_level, 1 , -1
[1968]	1257	!
	1258	!-- Set grid_level as it is required for exchange_horiz_2d_int
	1259	grid_level = l
[114]	1260
	1261	nxl_l = nxl_mg(l)
	1262	nxr_l = nxr_mg(l)
	1263	nys_l = nys_mg(l)
	1264	nyn_l = nyn_mg(l)
	1265	nzt_l = nzt_mg(l)
	1266	!
	1267	!-- Assign the flag level to be calculated
	1268	SELECT CASE ( l )
	1269	CASE ( 1 )
	1270	flags => wall_flags_1
	1271	CASE ( 2 )
	1272	flags => wall_flags_2
	1273	CASE ( 3 )
	1274	flags => wall_flags_3
	1275	CASE ( 4 )
	1276	flags => wall_flags_4
	1277	CASE ( 5 )
	1278	flags => wall_flags_5
	1279	CASE ( 6 )
	1280	flags => wall_flags_6
	1281	CASE ( 7 )
	1282	flags => wall_flags_7
	1283	CASE ( 8 )
	1284	flags => wall_flags_8
	1285	CASE ( 9 )
	1286	flags => wall_flags_9
	1287	CASE ( 10 )
	1288	flags => wall_flags_10
	1289	END SELECT
	1290
	1291	!
	1292	!-- Depending on the grid level, set the respective bits in case of
	1293	!-- neighbouring walls
	1294	!-- Bit 0: wall to the bottom
	1295	!-- Bit 1: wall to the top (not realized in remaining PALM code so far)
	1296	!-- Bit 2: wall to the south
	1297	!-- Bit 3: wall to the north
	1298	!-- Bit 4: wall to the left
	1299	!-- Bit 5: wall to the right
[116]	1300	!-- Bit 6: inside building
[114]	1301
	1302	flags = 0
	1303
[927]	1304	!
	1305	!-- In case of masking method, flags are not set and multigrid method
	1306	!-- works like FFT-solver
[1931]	1307	IF ( .NOT. masking_method ) THEN
[927]	1308
[1968]	1309	!
	1310	!-- Allocate temporary array for topography heights on coarser grid
	1311	!-- level. Please note, 2 ghoist points are required, in order to
	1312	!-- calculate flags() on the interior ghost point.
	1313	ALLOCATE( nzb_tmp(nys_l-2:nyn_l+2,nxl_l-2:nxr_l+2) )
	1314	nzb_tmp = 0
	1315
	1316	DO i = nxl_l, nxr_l
	1317	DO j = nys_l, nyn_l
	1318	nzb_tmp(j,i) = nzb_local(jinc,iinc)
	1319	ENDDO
	1320	ENDDO
	1321	!
	1322	!-- Exchange ghost points on respective multigrid level. 2 ghost points
	1323	!-- are required, in order to calculate flags on
	1324	!-- nys_l-1 / nyn_l+1 / nxl_l-1 / nxr_l+1. The alternative would be to
	1325	!-- exchange 3D-INTEGER array flags on the respective multigrid level.
	1326	CALL exchange_horiz_2d_int( nzb_tmp, nys_l, nyn_l, nxl_l, nxr_l, 2 )
	1327	!
	1328	!-- Set non-cyclic boundary conditions on respective multigrid level
	1329	IF ( .NOT. bc_ns_cyc ) THEN
	1330	IF ( nys == 0 ) THEN
	1331	nzb_tmp(-2,:) = nzb_tmp(0,:)
	1332	nzb_tmp(-1,:) = nzb_tmp(0,:)
	1333	ENDIF
	1334	IF ( nyn == ny ) THEN
	1335	nzb_tmp(ny+2,:) = nzb_tmp(ny,:)
	1336	nzb_tmp(ny+1,:) = nzb_tmp(ny,:)
	1337	ENDIF
	1338	ENDIF
	1339	IF ( .NOT. bc_lr_cyc ) THEN
	1340	IF ( nxl == 0 ) THEN
	1341	nzb_tmp(:,-2) = nzb_tmp(:,0)
	1342	nzb_tmp(:,-1) = nzb_tmp(:,0)
	1343	ENDIF
	1344	IF ( nxr == nx ) THEN
	1345	nzb_tmp(:,nx+1) = nzb_tmp(:,nx)
	1346	nzb_tmp(:,nx+2) = nzb_tmp(:,nx)
	1347	ENDIF
	1348	ENDIF
	1349
[927]	1350	DO i = nxl_l-1, nxr_l+1
	1351	DO j = nys_l-1, nyn_l+1
[1968]	1352	DO k = nzb, nzt_l+1
[114]	1353	!
[927]	1354	!-- Inside/outside building (inside building does not need
	1355	!-- further tests for walls)
[1968]	1356	IF ( k*inc <= nzb_tmp(j,i) ) THEN
[114]	1357
[927]	1358	flags(k,j,i) = IBSET( flags(k,j,i), 6 )
[114]	1359
[927]	1360	ELSE
[114]	1361	!
[927]	1362	!-- Bottom wall
[1968]	1363	IF ( (k-1)*inc <= nzb_tmp(j,i) ) THEN
[927]	1364	flags(k,j,i) = IBSET( flags(k,j,i), 0 )
	1365	ENDIF
[114]	1366	!
[927]	1367	!-- South wall
[1968]	1368	IF ( k*inc <= nzb_tmp(j-1,i) ) THEN
[927]	1369	flags(k,j,i) = IBSET( flags(k,j,i), 2 )
	1370	ENDIF
[114]	1371	!
[927]	1372	!-- North wall
[1968]	1373	IF ( k*inc <= nzb_tmp(j+1,i) ) THEN
[927]	1374	flags(k,j,i) = IBSET( flags(k,j,i), 3 )
	1375	ENDIF
[114]	1376	!
[927]	1377	!-- Left wall
[1968]	1378	IF ( k*inc <= nzb_tmp(j,i-1) ) THEN
[927]	1379	flags(k,j,i) = IBSET( flags(k,j,i), 4 )
	1380	ENDIF
[114]	1381	!
[927]	1382	!-- Right wall
[1968]	1383	IF ( k*inc <= nzb_tmp(j,i+1) ) THEN
[927]	1384	flags(k,j,i) = IBSET( flags(k,j,i), 5 )
	1385	ENDIF
	1386
[114]	1387	ENDIF
	1388
[927]	1389	ENDDO
[114]	1390	ENDDO
	1391	ENDDO
	1392
[1968]	1393	DEALLOCATE( nzb_tmp )
	1394
[927]	1395	ENDIF
	1396
[114]	1397	inc = inc * 2
	1398
	1399	ENDDO
[1968]	1400	!
	1401	!-- Reset grid_level to "normal" grid
	1402	grid_level = 0
	1403
[114]	1404	ENDIF
[861]	1405	!
[1942]	1406	!-- Allocate flags needed for masking walls. Even though these flags are only
	1407	!-- required in the ws-scheme, the arrays need to be allocated as they are
	1408	!-- used in OpenACC directives.
[1677]	1409	ALLOCATE( wall_flags_0(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
	1410	wall_flags_00(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1221]	1411	wall_flags_0 = 0
	1412	wall_flags_00 = 0
[114]	1413	!
[1942]	1414	!-- Init flags for ws-scheme to degrade order near walls
	1415	IF ( momentum_advec == 'ws-scheme' .OR. scalar_advec == 'ws-scheme' .OR.&
	1416	scalar_advec == 'ws-scheme-mono' ) THEN
	1417	CALL ws_init_flags
[861]	1418	ENDIF
	1419
	1420	!
[1]	1421	!-- In case of topography: limit near-wall mixing length l_wall further:
	1422	!-- Go through all points of the subdomain one by one and look for the closest
	1423	!-- surface
	1424	IF ( TRIM(topography) /= 'flat' ) THEN
	1425	DO i = nxl, nxr
	1426	DO j = nys, nyn
	1427
	1428	nzb_si = nzb_s_inner(j,i)
	1429	vi = vertical_influence(nzb_si)
	1430
	1431	IF ( wall_n(j,i) > 0 ) THEN
	1432	!
	1433	!-- North wall (y distance)
	1434	DO k = wall_n(j,i), nzb_si
[1353]	1435	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), 0.5_wp * dy )
[1]	1436	ENDDO
	1437	!
	1438	!-- Above North wall (yz distance)
	1439	DO k = nzb_si + 1, nzb_si + vi
[1353]	1440	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), &
	1441	SQRT( 0.25_wp * dy**2 + &
[1]	1442	( zu(k) - zw(nzb_si) )**2 ) )
	1443	ENDDO
	1444	!
	1445	!-- Northleft corner (xy distance)
	1446	IF ( corner_nl(j,i) > 0 ) THEN
	1447	DO k = corner_nl(j,i), nzb_si
	1448	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
[1353]	1449	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1450	ENDDO
	1451	!
	1452	!-- Above Northleft corner (xyz distance)
	1453	DO k = nzb_si + 1, nzb_si + vi
[1353]	1454	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
	1455	SQRT( 0.25_wp * (dx2 + dy2) + &
	1456	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1457	ENDDO
	1458	ENDIF
	1459	!
	1460	!-- Northright corner (xy distance)
	1461	IF ( corner_nr(j,i) > 0 ) THEN
	1462	DO k = corner_nr(j,i), nzb_si
[1353]	1463	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
	1464	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1465	ENDDO
	1466	!
	1467	!-- Above northright corner (xyz distance)
	1468	DO k = nzb_si + 1, nzb_si + vi
[1353]	1469	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
	1470	SQRT( 0.25_wp * (dx2 + dy2) + &
	1471	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1472	ENDDO
	1473	ENDIF
	1474	ENDIF
	1475
	1476	IF ( wall_s(j,i) > 0 ) THEN
	1477	!
	1478	!-- South wall (y distance)
	1479	DO k = wall_s(j,i), nzb_si
[1353]	1480	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), 0.5_wp * dy )
[1]	1481	ENDDO
	1482	!
	1483	!-- Above south wall (yz distance)
[1353]	1484	DO k = nzb_si + 1, nzb_si + vi
	1485	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), &
	1486	SQRT( 0.25_wp * dy**2 + &
[1]	1487	( zu(k) - zw(nzb_si) )**2 ) )
	1488	ENDDO
	1489	!
	1490	!-- Southleft corner (xy distance)
	1491	IF ( corner_sl(j,i) > 0 ) THEN
	1492	DO k = corner_sl(j,i), nzb_si
[1353]	1493	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
	1494	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1495	ENDDO
	1496	!
	1497	!-- Above southleft corner (xyz distance)
	1498	DO k = nzb_si + 1, nzb_si + vi
[1353]	1499	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
	1500	SQRT( 0.25_wp * (dx2 + dy2) + &
	1501	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1502	ENDDO
	1503	ENDIF
	1504	!
	1505	!-- Southright corner (xy distance)
	1506	IF ( corner_sr(j,i) > 0 ) THEN
	1507	DO k = corner_sr(j,i), nzb_si
[1353]	1508	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
	1509	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1510	ENDDO
	1511	!
	1512	!-- Above southright corner (xyz distance)
	1513	DO k = nzb_si + 1, nzb_si + vi
[1353]	1514	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
	1515	SQRT( 0.25_wp * (dx2 + dy2) + &
	1516	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1517	ENDDO
	1518	ENDIF
	1519
	1520	ENDIF
	1521
	1522	IF ( wall_l(j,i) > 0 ) THEN
	1523	!
	1524	!-- Left wall (x distance)
	1525	DO k = wall_l(j,i), nzb_si
[1353]	1526	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), 0.5_wp * dx )
[1]	1527	ENDDO
	1528	!
	1529	!-- Above left wall (xz distance)
	1530	DO k = nzb_si + 1, nzb_si + vi
[1353]	1531	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), &
	1532	SQRT( 0.25_wp * dx**2 + &
	1533	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1534	ENDDO
	1535	ENDIF
	1536
	1537	IF ( wall_r(j,i) > 0 ) THEN
	1538	!
	1539	!-- Right wall (x distance)
	1540	DO k = wall_r(j,i), nzb_si
[1353]	1541	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), 0.5_wp * dx )
[1]	1542	ENDDO
	1543	!
	1544	!-- Above right wall (xz distance)
	1545	DO k = nzb_si + 1, nzb_si + vi
[1353]	1546	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), &
	1547	SQRT( 0.25_wp * dx**2 + &
[1]	1548	( zu(k) - zw(nzb_si) )**2 ) )
	1549	ENDDO
	1550
	1551	ENDIF
	1552
	1553	ENDDO
	1554	ENDDO
	1555
	1556	ENDIF
	1557
	1558	!
	1559	!-- Multiplication with wall_adjustment_factor
	1560	l_wall = wall_adjustment_factor * l_wall
	1561
	1562	!
[709]	1563	!-- Set lateral boundary conditions for l_wall
[667]	1564	CALL exchange_horiz( l_wall, nbgp )
	1565
[1]	1566	DEALLOCATE( corner_nl, corner_nr, corner_sl, corner_sr, nzb_local, &
[1968]	1567	vertical_influence, wall_l, wall_n, wall_r, wall_s )
[1]	1568
	1569
	1570	END SUBROUTINE init_grid

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