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source: palm/trunk/SOURCE/init_grid.f90 @ 1653

Last change on this file since 1653 was 1581, checked in by suehring, 10 years ago
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1	SUBROUTINE init_grid
2
3	!--------------------------------------------------------------------------------!
4	! This file is part of PALM.
5	!
6	! PALM is free software: you can redistribute it and/or modify it under the terms
7	! of the GNU General Public License as published by the Free Software Foundation,
8	! either version 3 of the License, or (at your option) any later version.
9	!
10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
13	!
14	! You should have received a copy of the GNU General Public License along with
15	! PALM. If not, see <http://www.gnu.org/licenses/>.
16	!
17	! Copyright 1997-2014 Leibniz Universitaet Hannover
18	!--------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: init_grid.f90 1581 2015-04-10 13:45:59Z raasch $
27	!
28	! 1580 2015-04-10 13:43:49Z suehring
29	! Bugfix: setting flags for 5th order scheme near buildings
30	!
31	! 1575 2015-03-27 09:56:27Z raasch
32	! adjustments for psolver-queries
33	!
34	! 1557 2015-03-05 16:43:04Z suehring
35	! Adjustment for monotoinic limiter
36	!
37	! 1418 2014-06-06 13:05:08Z fricke
38	! Bugfix: Change if-condition for stretched grid in the ocean, with the old
39	! condition and a negative value for dz_stretch_level the condition
40	! was always true for the whole model domain
41	!
42	! 1409 2014-05-23 12:11:32Z suehring
43	! Bugfix: set wall_flags_0 at inflow and outflow boundary also for i <= nxlu
44	! j <= nysv
45	!
46	! 1353 2014-04-08 15:21:23Z heinze
47	! REAL constants provided with KIND-attribute
48	!
49	! 1322 2014-03-20 16:38:49Z raasch
50	! REAL constants defined as wp-kind
51	!
52	! 1320 2014-03-20 08:40:49Z raasch
53	! ONLY-attribute added to USE-statements,
54	! kind-parameters added to all INTEGER and REAL declaration statements,
55	! kinds are defined in new module kinds,
56	! revision history before 2012 removed,
57	! comment fields (!:) to be used for variable explanations added to
58	! all variable declaration statements
59	!
60	! 1221 2013-09-10 08:59:13Z raasch
61	! wall_flags_00 introduced to hold bits 32-63,
62	! additional 3D-flag arrays for replacing the 2D-index array nzb_s_inner in
63	! loops optimized for openACC (pres + flow_statistics)
64	!
65	! 1092 2013-02-02 11:24:22Z raasch
66	! unused variables removed
67	!
68	! 1069 2012-11-28 16:18:43Z maronga
69	! bugfix: added coupling_char to TOPOGRAPHY_DATA to allow topography in the ocean
70	! model in case of coupled runs
71	!
72	! 1036 2012-10-22 13:43:42Z raasch
73	! code put under GPL (PALM 3.9)
74	!
75	! 1015 2012-09-27 09:23:24Z raasch
76	! lower index for calculating wall_flags_0 set to nzb_w_inner instead of
77	! nzb_w_inner+1
78	!
79	! 996 2012-09-07 10:41:47Z raasch
80	! little reformatting
81	!
82	! 978 2012-08-09 08:28:32Z fricke
83	! Bugfix: nzb_max is set to nzt at non-cyclic lateral boundaries
84	! Bugfix: Set wall_flags_0 for inflow boundary
85	!
86	! 927 2012-06-06 19:15:04Z raasch
87	! Wall flags are not set for multigrid method in case of masking method
88	!
89	! 864 2012-03-27 15:10:33Z gryschka
90	! In case of ocean and Dirichlet bottom bc for u and v dzu_mg and ddzu_pres
91	! were not correctly defined for k=1.
92	!
93	! 861 2012-03-26 14:18:34Z suehring
94	! Set wall_flags_0. The array is needed for degradation in ws-scheme near walls,
95	! inflow and outflow boundaries as well as near the bottom and the top of the
96	! model domain.!
97	! Initialization of nzb_s_inner and nzb_w_inner.
98	! gls has to be at least nbgp to do not exceed the array bounds of nzb_local
99	! while setting wall_flags_0
100	!
101	! 843 2012-02-29 15:16:21Z gryschka
102	! In case of ocean and dirichlet bc for u and v at the bottom
103	! the first u-level ist defined at same height as the first w-level
104	!
105	! 818 2012-02-08 16:11:23Z maronga
106	! Bugfix: topo_height is only required if topography is used. It is thus now
107	! allocated in the topography branch
108	!
109	! 809 2012-01-30 13:32:58Z maronga
110	! Bugfix: replaced .AND. and .NOT. with && and ! in the preprocessor directives
111	!
112	! 807 2012-01-25 11:53:51Z maronga
113	! New cpp directive "__check" implemented which is used by check_namelist_files
114	!
115	! Revision 1.1 1997/08/11 06:17:45 raasch
116	! Initial revision (Testversion)
117	!
118	!
119	! Description:
120	! ------------
121	! Creating grid depending constants
122	!------------------------------------------------------------------------------!
123
124	USE arrays_3d, &
125	ONLY: dd2zu, ddzu, ddzu_pres, ddzw, dzu, dzu_mg, dzw, dzw_mg, f1_mg, &
126	f2_mg, f3_mg, l_grid, l_wall, zu, zw
127
128	USE control_parameters, &
129	ONLY: bc_lr, bc_ns, building_height, building_length_x, &
130	building_length_y, building_wall_left, building_wall_south, &
131	canyon_height, canyon_wall_left, canyon_wall_south, &
132	canyon_width_x, canyon_width_y, coupling_char, dp_level_ind_b, &
133	dz, dz_max, dz_stretch_factor, dz_stretch_level, &
134	dz_stretch_level_index, ibc_uv_b, io_blocks, io_group, &
135	inflow_l, inflow_n, inflow_r, inflow_s, masking_method, &
136	maximum_grid_level, message_string, momentum_advec, ocean, &
137	outflow_l, outflow_n, outflow_r, outflow_s, prandtl_layer, &
138	psolver, scalar_advec, topography, topography_grid_convention, &
139	use_surface_fluxes, use_top_fluxes, wall_adjustment_factor
140
141	USE grid_variables, &
142	ONLY: ddx, ddx2, ddx2_mg, ddy, ddy2, ddy2_mg, dx, dx2, dy, dy2, fwxm, &
143	fwxp, fwym, fwyp, fxm, fxp, fym, fyp, wall_e_x, wall_e_y, &
144	wall_u, wall_v, wall_w_x, wall_w_y, zu_s_inner, zw_w_inner
145
146	USE indices, &
147	ONLY: flags, nbgp, nx, nxl, nxlg, nxlu, nxl_mg, nxr, nxrg, nxr_mg, &
148	ny, nyn, nyng, nyn_mg, nys, nysv, nys_mg, nysg, nz, nzb, &
149	nzb_2d, nzb_diff, nzb_diff_s_inner, nzb_diff_s_outer, &
150	nzb_diff_u, nzb_diff_v, nzb_max, nzb_s_inner, nzb_s_outer, &
151	nzb_u_inner, nzb_u_outer, nzb_v_inner, nzb_v_outer, &
152	nzb_w_inner, nzb_w_outer, nzt, nzt_diff, nzt_mg, rflags_invers, &
153	rflags_s_inner, wall_flags_0, wall_flags_00, wall_flags_1, &
154	wall_flags_10, wall_flags_2, wall_flags_3, wall_flags_4, &
155	wall_flags_5, wall_flags_6, wall_flags_7, wall_flags_8, &
156	wall_flags_9
157
158	USE kinds
159
160	USE pegrid
161
162	IMPLICIT NONE
163
164	INTEGER(iwp) :: bh !:
165	INTEGER(iwp) :: blx !:
166	INTEGER(iwp) :: bly !:
167	INTEGER(iwp) :: bxl !:
168	INTEGER(iwp) :: bxr !:
169	INTEGER(iwp) :: byn !:
170	INTEGER(iwp) :: bys !:
171	INTEGER(iwp) :: ch !:
172	INTEGER(iwp) :: cwx !:
173	INTEGER(iwp) :: cwy !:
174	INTEGER(iwp) :: cxl !:
175	INTEGER(iwp) :: cxr !:
176	INTEGER(iwp) :: cyn !:
177	INTEGER(iwp) :: cys !:
178	INTEGER(iwp) :: gls !:
179	INTEGER(iwp) :: i !:
180	INTEGER(iwp) :: ii !:
181	INTEGER(iwp) :: inc !:
182	INTEGER(iwp) :: j !:
183	INTEGER(iwp) :: k !:
184	INTEGER(iwp) :: l !:
185	INTEGER(iwp) :: nxl_l !:
186	INTEGER(iwp) :: nxr_l !:
187	INTEGER(iwp) :: nyn_l !:
188	INTEGER(iwp) :: nys_l !:
189	INTEGER(iwp) :: nzb_si !:
190	INTEGER(iwp) :: nzt_l !:
191	INTEGER(iwp) :: vi !:
192
193	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: vertical_influence !:
194
195	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_nl !:
196	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_nr !:
197	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_sl !:
198	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_sr !:
199	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_l !:
200	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_n !:
201	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_r !:
202	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_s !:
203	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_local !:
204	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_tmp !:
205
206	LOGICAL :: flag_set = .FALSE. !:
207
208	REAL(wp) :: dx_l !:
209	REAL(wp) :: dy_l !:
210	REAL(wp) :: dz_stretched !:
211
212	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: topo_height !:
213
214
215	!
216	!-- Calculation of horizontal array bounds including ghost layers
217	nxlg = nxl - nbgp
218	nxrg = nxr + nbgp
219	nysg = nys - nbgp
220	nyng = nyn + nbgp
221
222	!
223	!-- Allocate grid arrays
224	ALLOCATE( ddzu(1:nzt+1), ddzw(1:nzt+1), dd2zu(1:nzt), dzu(1:nzt+1), &
225	dzw(1:nzt+1), l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1) )
226
227	!
228	!-- Compute height of u-levels from constant grid length and dz stretch factors
229	IF ( dz == -1.0_wp ) THEN
230	message_string = 'missing dz'
231	CALL message( 'init_grid', 'PA0200', 1, 2, 0, 6, 0 )
232	ELSEIF ( dz <= 0.0_wp ) THEN
233	WRITE( message_string, * ) 'dz=',dz,' <= 0.0'
234	CALL message( 'init_grid', 'PA0201', 1, 2, 0, 6, 0 )
235	ENDIF
236
237	!
238	!-- Define the vertical grid levels
239	IF ( .NOT. ocean ) THEN
240	!
241	!-- Grid for atmosphere with surface at z=0 (k=0, w-grid).
242	!-- The second u-level (k=1) corresponds to the top of the
243	!-- Prandtl-layer.
244
245	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
246	zu(0) = 0.0_wp
247	! zu(0) = - dz * 0.5_wp
248	ELSE
249	zu(0) = - dz * 0.5_wp
250	ENDIF
251	zu(1) = dz * 0.5_wp
252
253	dz_stretch_level_index = nzt+1
254	dz_stretched = dz
255	DO k = 2, nzt+1
256	IF ( dz_stretch_level <= zu(k-1) .AND. dz_stretched < dz_max ) THEN
257	dz_stretched = dz_stretched * dz_stretch_factor
258	dz_stretched = MIN( dz_stretched, dz_max )
259	IF ( dz_stretch_level_index == nzt+1 ) dz_stretch_level_index = k-1
260	ENDIF
261	zu(k) = zu(k-1) + dz_stretched
262	ENDDO
263
264	!
265	!-- Compute the w-levels. They are always staggered half-way between the
266	!-- corresponding u-levels. In case of dirichlet bc for u and v at the
267	!-- ground the first u- and w-level (k=0) are defined at same height (z=0).
268	!-- The top w-level is extrapolated linearly.
269	zw(0) = 0.0_wp
270	DO k = 1, nzt
271	zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp
272	ENDDO
273	zw(nzt+1) = zw(nzt) + 2.0_wp * ( zu(nzt+1) - zw(nzt) )
274
275	ELSE
276	!
277	!-- Grid for ocean with free water surface is at k=nzt (w-grid).
278	!-- In case of neumann bc at the ground the first first u-level (k=0) lies
279	!-- below the first w-level (k=0). In case of dirichlet bc the first u- and
280	!-- w-level are defined at same height, but staggered from the second level.
281	!-- The second u-level (k=1) corresponds to the top of the Prandtl-layer.
282	zu(nzt+1) = dz * 0.5_wp
283	zu(nzt) = - dz * 0.5_wp
284
285	dz_stretch_level_index = 0
286	dz_stretched = dz
287	DO k = nzt-1, 0, -1
288	!
289	!-- The default value of dz_stretch_level is positive, thus the first
290	!-- condition is always true. Hence, the second condition is necessary.
291	IF ( dz_stretch_level >= zu(k+1) .AND. dz_stretch_level <= 0.0 &
292	.AND. dz_stretched < dz_max ) THEN
293	dz_stretched = dz_stretched * dz_stretch_factor
294	dz_stretched = MIN( dz_stretched, dz_max )
295	IF ( dz_stretch_level_index == 0 ) dz_stretch_level_index = k+1
296	ENDIF
297	zu(k) = zu(k+1) - dz_stretched
298	ENDDO
299
300	!
301	!-- Compute the w-levels. They are always staggered half-way between the
302	!-- corresponding u-levels, except in case of dirichlet bc for u and v
303	!-- at the ground. In this case the first u- and w-level are defined at
304	!-- same height. The top w-level (nzt+1) is not used but set for
305	!-- consistency, since w and all scalar variables are defined up tp nzt+1.
306	zw(nzt+1) = dz
307	zw(nzt) = 0.0_wp
308	DO k = 0, nzt
309	zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp
310	ENDDO
311
312	!
313	!-- In case of dirichlet bc for u and v the first u- and w-level are defined
314	!-- at same height.
315	IF ( ibc_uv_b == 0 ) THEN
316	zu(0) = zw(0)
317	ENDIF
318
319	ENDIF
320
321	!
322	!-- Compute grid lengths.
323	DO k = 1, nzt+1
324	dzu(k) = zu(k) - zu(k-1)
325	ddzu(k) = 1.0_wp / dzu(k)
326	dzw(k) = zw(k) - zw(k-1)
327	ddzw(k) = 1.0_wp / dzw(k)
328	ENDDO
329
330	DO k = 1, nzt
331	dd2zu(k) = 1.0_wp / ( dzu(k) + dzu(k+1) )
332	ENDDO
333
334	!
335	!-- The FFT- SOR-pressure solvers assume grid spacings of a staggered grid
336	!-- everywhere. For the actual grid, the grid spacing at the lowest level
337	!-- is only dz/2, but should be dz. Therefore, an additional array
338	!-- containing with appropriate grid information is created for these
339	!-- solvers.
340	IF ( psolver(1:9) /= 'multigrid' ) THEN
341	ALLOCATE( ddzu_pres(1:nzt+1) )
342	ddzu_pres = ddzu
343	ddzu_pres(1) = ddzu_pres(2) ! change for lowest level
344	ENDIF
345
346	!
347	!-- In case of multigrid method, compute grid lengths and grid factors for the
348	!-- grid levels
349	IF ( psolver(1:9) == 'multigrid' ) THEN
350
351	ALLOCATE( ddx2_mg(maximum_grid_level), ddy2_mg(maximum_grid_level), &
352	dzu_mg(nzb+1:nzt+1,maximum_grid_level), &
353	dzw_mg(nzb+1:nzt+1,maximum_grid_level), &
354	f1_mg(nzb+1:nzt,maximum_grid_level), &
355	f2_mg(nzb+1:nzt,maximum_grid_level), &
356	f3_mg(nzb+1:nzt,maximum_grid_level) )
357
358	dzu_mg(:,maximum_grid_level) = dzu
359	!
360	!-- Next line to ensure an equally spaced grid.
361	dzu_mg(1,maximum_grid_level) = dzu(2)
362
363	dzw_mg(:,maximum_grid_level) = dzw
364	nzt_l = nzt
365	DO l = maximum_grid_level-1, 1, -1
366	dzu_mg(nzb+1,l) = 2.0_wp * dzu_mg(nzb+1,l+1)
367	dzw_mg(nzb+1,l) = 2.0_wp * dzw_mg(nzb+1,l+1)
368	nzt_l = nzt_l / 2
369	DO k = 2, nzt_l+1
370	dzu_mg(k,l) = dzu_mg(2k-2,l+1) + dzu_mg(2k-1,l+1)
371	dzw_mg(k,l) = dzw_mg(2k-2,l+1) + dzw_mg(2k-1,l+1)
372	ENDDO
373	ENDDO
374
375	nzt_l = nzt
376	dx_l = dx
377	dy_l = dy
378	DO l = maximum_grid_level, 1, -1
379	ddx2_mg(l) = 1.0_wp / dx_l**2
380	ddy2_mg(l) = 1.0_wp / dy_l**2
381	DO k = nzb+1, nzt_l
382	f2_mg(k,l) = 1.0_wp / ( dzu_mg(k+1,l) * dzw_mg(k,l) )
383	f3_mg(k,l) = 1.0_wp / ( dzu_mg(k,l) * dzw_mg(k,l) )
384	f1_mg(k,l) = 2.0_wp * ( ddx2_mg(l) + ddy2_mg(l) ) + &
385	f2_mg(k,l) + f3_mg(k,l)
386	ENDDO
387	nzt_l = nzt_l / 2
388	dx_l = dx_l * 2.0_wp
389	dy_l = dy_l * 2.0_wp
390	ENDDO
391
392	ENDIF
393
394	!
395	!-- Compute the reciprocal values of the horizontal grid lengths.
396	ddx = 1.0_wp / dx
397	ddy = 1.0_wp / dy
398	dx2 = dx * dx
399	dy2 = dy * dy
400	ddx2 = 1.0_wp / dx2
401	ddy2 = 1.0_wp / dy2
402
403	!
404	!-- Compute the grid-dependent mixing length.
405	DO k = 1, nzt
406	l_grid(k) = ( dx * dy * dzw(k) )**0.33333333333333_wp
407	ENDDO
408
409	!
410	!-- Allocate outer and inner index arrays for topography and set
411	!-- defaults.
412	!-- nzb_local has to contain additional layers of ghost points for calculating
413	!-- the flag arrays needed for the multigrid method
414	gls = 2**( maximum_grid_level )
415	IF ( gls < nbgp ) gls = nbgp
416
417	ALLOCATE( corner_nl(nys:nyn,nxl:nxr), corner_nr(nys:nyn,nxl:nxr), &
418	corner_sl(nys:nyn,nxl:nxr), corner_sr(nys:nyn,nxl:nxr), &
419	nzb_local(-gls:ny+gls,-gls:nx+gls), &
420	nzb_tmp(-nbgp:ny+nbgp,-nbgp:nx+nbgp), &
421	wall_l(nys:nyn,nxl:nxr), wall_n(nys:nyn,nxl:nxr), &
422	wall_r(nys:nyn,nxl:nxr), wall_s(nys:nyn,nxl:nxr) )
423	ALLOCATE( fwxm(nysg:nyng,nxlg:nxrg), fwxp(nysg:nyng,nxlg:nxrg), &
424	fwym(nysg:nyng,nxlg:nxrg), fwyp(nysg:nyng,nxlg:nxrg), &
425	fxm(nysg:nyng,nxlg:nxrg), fxp(nysg:nyng,nxlg:nxrg), &
426	fym(nysg:nyng,nxlg:nxrg), fyp(nysg:nyng,nxlg:nxrg), &
427	nzb_s_inner(nysg:nyng,nxlg:nxrg), &
428	nzb_s_outer(nysg:nyng,nxlg:nxrg), &
429	nzb_u_inner(nysg:nyng,nxlg:nxrg), &
430	nzb_u_outer(nysg:nyng,nxlg:nxrg), &
431	nzb_v_inner(nysg:nyng,nxlg:nxrg), &
432	nzb_v_outer(nysg:nyng,nxlg:nxrg), &
433	nzb_w_inner(nysg:nyng,nxlg:nxrg), &
434	nzb_w_outer(nysg:nyng,nxlg:nxrg), &
435	nzb_diff_s_inner(nysg:nyng,nxlg:nxrg), &
436	nzb_diff_s_outer(nysg:nyng,nxlg:nxrg), &
437	nzb_diff_u(nysg:nyng,nxlg:nxrg), &
438	nzb_diff_v(nysg:nyng,nxlg:nxrg), &
439	nzb_2d(nysg:nyng,nxlg:nxrg), &
440	rflags_s_inner(nzb:nzt+2,nysg:nyng,nxlg:nxrg), &
441	rflags_invers(nysg:nyng,nxlg:nxrg,nzb:nzt+2), &
442	wall_e_x(nysg:nyng,nxlg:nxrg), &
443	wall_e_y(nysg:nyng,nxlg:nxrg), &
444	wall_u(nysg:nyng,nxlg:nxrg), &
445	wall_v(nysg:nyng,nxlg:nxrg), &
446	wall_w_x(nysg:nyng,nxlg:nxrg), &
447	wall_w_y(nysg:nyng,nxlg:nxrg) )
448
449
450
451	ALLOCATE( l_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
452
453
454	nzb_s_inner = nzb; nzb_s_outer = nzb
455	nzb_u_inner = nzb; nzb_u_outer = nzb
456	nzb_v_inner = nzb; nzb_v_outer = nzb
457	nzb_w_inner = nzb; nzb_w_outer = nzb
458
459	rflags_s_inner = 1.0_wp
460	rflags_invers = 1.0_wp
461
462	!
463	!-- Define vertical gridpoint from (or to) which on the usual finite difference
464	!-- form (which does not use surface fluxes) is applied
465	IF ( prandtl_layer .OR. use_surface_fluxes ) THEN
466	nzb_diff = nzb + 2
467	ELSE
468	nzb_diff = nzb + 1
469	ENDIF
470	IF ( use_top_fluxes ) THEN
471	nzt_diff = nzt - 1
472	ELSE
473	nzt_diff = nzt
474	ENDIF
475
476	nzb_diff_s_inner = nzb_diff; nzb_diff_s_outer = nzb_diff
477	nzb_diff_u = nzb_diff; nzb_diff_v = nzb_diff
478
479	wall_e_x = 0.0_wp; wall_e_y = 0.0_wp; wall_u = 0.0_wp; wall_v = 0.0_wp
480	wall_w_x = 0.0_wp; wall_w_y = 0.0_wp
481	fwxp = 1.0_wp; fwxm = 1.0_wp; fwyp = 1.0_wp; fwym = 1.0_wp
482	fxp = 1.0_wp; fxm = 1.0_wp; fyp = 1.0_wp; fym = 1.0_wp
483
484	!
485	!-- Initialize near-wall mixing length l_wall only in the vertical direction
486	!-- for the moment,
487	!-- multiplication with wall_adjustment_factor near the end of this routine
488	l_wall(nzb,:,:) = l_grid(1)
489	DO k = nzb+1, nzt
490	l_wall(k,:,:) = l_grid(k)
491	ENDDO
492	l_wall(nzt+1,:,:) = l_grid(nzt)
493
494	ALLOCATE ( vertical_influence(nzb:nzt) )
495	DO k = 1, nzt
496	vertical_influence(k) = MIN ( INT( l_grid(k) / &
497	( wall_adjustment_factor * dzw(k) ) + 0.5_wp ), nzt - k )
498	ENDDO
499
500	DO k = 1, MAXVAL( nzb_s_inner )
501	IF ( l_grid(k) > 1.5_wp * dx * wall_adjustment_factor .OR. &
502	l_grid(k) > 1.5_wp * dy * wall_adjustment_factor ) THEN
503	WRITE( message_string, * ) 'grid anisotropy exceeds ', &
504	'threshold given by only local', &
505	' &horizontal reduction of near_wall ', &
506	'mixing length l_wall', &
507	' &starting from height level k = ', k, '.'
508	CALL message( 'init_grid', 'PA0202', 0, 1, 0, 6, 0 )
509	EXIT
510	ENDIF
511	ENDDO
512	vertical_influence(0) = vertical_influence(1)
513
514	DO i = nxlg, nxrg
515	DO j = nysg, nyng
516	DO k = nzb_s_inner(j,i) + 1, &
517	nzb_s_inner(j,i) + vertical_influence(nzb_s_inner(j,i))
518	l_wall(k,j,i) = zu(k) - zw(nzb_s_inner(j,i))
519	ENDDO
520	ENDDO
521	ENDDO
522
523	!
524	!-- Set outer and inner index arrays for non-flat topography.
525	!-- Here consistency checks concerning domain size and periodicity are
526	!-- necessary.
527	!-- Within this SELECT CASE structure only nzb_local is initialized
528	!-- individually depending on the chosen topography type, all other index
529	!-- arrays are initialized further below.
530	SELECT CASE ( TRIM( topography ) )
531
532	CASE ( 'flat' )
533	!
534	!-- nzb_local is required for the multigrid solver
535	nzb_local = 0
536
537	CASE ( 'single_building' )
538	!
539	!-- Single rectangular building, by default centered in the middle of the
540	!-- total domain
541	blx = NINT( building_length_x / dx )
542	bly = NINT( building_length_y / dy )
543	bh = NINT( building_height / dz )
544
545	IF ( building_wall_left == 9999999.9_wp ) THEN
546	building_wall_left = ( nx + 1 - blx ) / 2 * dx
547	ENDIF
548	bxl = NINT( building_wall_left / dx )
549	bxr = bxl + blx
550
551	IF ( building_wall_south == 9999999.9_wp ) THEN
552	building_wall_south = ( ny + 1 - bly ) / 2 * dy
553	ENDIF
554	bys = NINT( building_wall_south / dy )
555	byn = bys + bly
556
557	!
558	!-- Building size has to meet some requirements
559	IF ( ( bxl < 1 ) .OR. ( bxr > nx-1 ) .OR. ( bxr < bxl+3 ) .OR. &
560	( bys < 1 ) .OR. ( byn > ny-1 ) .OR. ( byn < bys+3 ) ) THEN
561	WRITE( message_string, * ) 'inconsistent building parameters:', &
562	'& bxl=', bxl, 'bxr=', bxr, 'bys=', bys, &
563	'byn=', byn, 'nx=', nx, 'ny=', ny
564	CALL message( 'init_grid', 'PA0203', 1, 2, 0, 6, 0 )
565	ENDIF
566
567	!
568	!-- Define the building.
569	nzb_local = 0
570	nzb_local(bys:byn,bxl:bxr) = bh
571
572	CASE ( 'single_street_canyon' )
573	!
574	!-- Single quasi-2D street canyon of infinite length in x or y direction.
575	!-- The canyon is centered in the other direction by default.
576	IF ( canyon_width_x /= 9999999.9_wp ) THEN
577	!
578	!-- Street canyon in y direction
579	cwx = NINT( canyon_width_x / dx )
580	IF ( canyon_wall_left == 9999999.9_wp ) THEN
581	canyon_wall_left = ( nx + 1 - cwx ) / 2 * dx
582	ENDIF
583	cxl = NINT( canyon_wall_left / dx )
584	cxr = cxl + cwx
585
586	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
587	!
588	!-- Street canyon in x direction
589	cwy = NINT( canyon_width_y / dy )
590	IF ( canyon_wall_south == 9999999.9_wp ) THEN
591	canyon_wall_south = ( ny + 1 - cwy ) / 2 * dy
592	ENDIF
593	cys = NINT( canyon_wall_south / dy )
594	cyn = cys + cwy
595
596	ELSE
597
598	message_string = 'no street canyon width given'
599	CALL message( 'init_grid', 'PA0204', 1, 2, 0, 6, 0 )
600
601	ENDIF
602
603	ch = NINT( canyon_height / dz )
604	dp_level_ind_b = ch
605	!
606	!-- Street canyon size has to meet some requirements
607	IF ( canyon_width_x /= 9999999.9_wp ) THEN
608	IF ( ( cxl < 1 ) .OR. ( cxr > nx-1 ) .OR. ( cwx < 3 ) .OR. &
609	( ch < 3 ) ) THEN
610	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
611	'&cxl=', cxl, 'cxr=', cxr, &
612	'cwx=', cwx, &
613	'ch=', ch, 'nx=', nx, 'ny=', ny
614	CALL message( 'init_grid', 'PA0205', 1, 2, 0, 6, 0 )
615	ENDIF
616	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
617	IF ( ( cys < 1 ) .OR. ( cyn > ny-1 ) .OR. ( cwy < 3 ) .OR. &
618	( ch < 3 ) ) THEN
619	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
620	'&cys=', cys, 'cyn=', cyn, &
621	'cwy=', cwy, &
622	'ch=', ch, 'nx=', nx, 'ny=', ny
623	CALL message( 'init_grid', 'PA0206', 1, 2, 0, 6, 0 )
624	ENDIF
625	ENDIF
626	IF ( canyon_width_x /= 9999999.9_wp .AND. &
627	canyon_width_y /= 9999999.9_wp ) THEN
628	message_string = 'inconsistent canyon parameters:' // &
629	'&street canyon can only be oriented' // &
630	'&either in x- or in y-direction'
631	CALL message( 'init_grid', 'PA0207', 1, 2, 0, 6, 0 )
632	ENDIF
633
634	nzb_local = ch
635	IF ( canyon_width_x /= 9999999.9_wp ) THEN
636	nzb_local(:,cxl+1:cxr-1) = 0
637	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
638	nzb_local(cys+1:cyn-1,:) = 0
639	ENDIF
640
641	CASE ( 'read_from_file' )
642
643	ALLOCATE ( topo_height(0:ny,0:nx) )
644
645	DO ii = 0, io_blocks-1
646	IF ( ii == io_group ) THEN
647
648	!
649	!-- Arbitrary irregular topography data in PALM format (exactly
650	!-- matching the grid size and total domain size)
651	OPEN( 90, FILE='TOPOGRAPHY_DATA'//coupling_char, STATUS='OLD', &
652	FORM='FORMATTED', ERR=10 )
653	DO j = ny, 0, -1
654	READ( 90, *, ERR=11, END=11 ) ( topo_height(j,i), i = 0,nx )
655	ENDDO
656
657	GOTO 12
658
659	10 message_string = 'file TOPOGRAPHY'//coupling_char//' does not exist'
660	CALL message( 'init_grid', 'PA0208', 1, 2, 0, 6, 0 )
661
662	11 message_string = 'errors in file TOPOGRAPHY_DATA'//coupling_char
663	CALL message( 'init_grid', 'PA0209', 1, 2, 0, 6, 0 )
664
665	12 CLOSE( 90 )
666
667	ENDIF
668	#if defined( __parallel ) && ! defined ( __check )
669	CALL MPI_BARRIER( comm2d, ierr )
670	#endif
671	ENDDO
672
673	!
674	!-- Calculate the index height of the topography
675	DO i = 0, nx
676	DO j = 0, ny
677	nzb_local(j,i) = NINT( topo_height(j,i) / dz )
678	ENDDO
679	ENDDO
680
681	DEALLOCATE ( topo_height )
682	!
683	!-- Add cyclic boundaries (additional layers are for calculating
684	!-- flag arrays needed for the multigrid sover)
685	nzb_local(-gls:-1,0:nx) = nzb_local(ny-gls+1:ny,0:nx)
686	nzb_local(ny+1:ny+gls,0:nx) = nzb_local(0:gls-1,0:nx)
687	nzb_local(:,-gls:-1) = nzb_local(:,nx-gls+1:nx)
688	nzb_local(:,nx+1:nx+gls) = nzb_local(:,0:gls-1)
689
690	CASE DEFAULT
691	!
692	!-- The DEFAULT case is reached either if the parameter topography
693	!-- contains a wrong character string or if the user has defined a special
694	!-- case in the user interface. There, the subroutine user_init_grid
695	!-- checks which of these two conditions applies.
696	CALL user_init_grid( gls, nzb_local )
697
698	END SELECT
699	!
700	!-- Determine the maximum level of topography. Furthermore it is used for
701	!-- steering the degradation of order of the applied advection scheme.
702	!-- In case of non-cyclic lateral boundaries, the order of the advection
703	!-- scheme have to be reduced up to nzt (required at the lateral boundaries).
704	nzb_max = MAXVAL( nzb_local )
705	IF ( inflow_l .OR. outflow_l .OR. inflow_r .OR. outflow_r .OR. &
706	inflow_n .OR. outflow_n .OR. inflow_s .OR. outflow_s ) THEN
707	nzb_max = nzt
708	ENDIF
709
710	!
711	!-- Consistency checks and index array initialization are only required for
712	!-- non-flat topography, also the initialization of topography height arrays
713	!-- zu_s_inner and zw_w_inner
714	IF ( TRIM( topography ) /= 'flat' ) THEN
715
716	!
717	!-- Consistency checks
718	IF ( MINVAL( nzb_local ) < 0 .OR. MAXVAL( nzb_local ) > nz + 1 ) THEN
719	WRITE( message_string, * ) 'nzb_local values are outside the', &
720	'model domain', &
721	'&MINVAL( nzb_local ) = ', MINVAL(nzb_local), &
722	'&MAXVAL( nzb_local ) = ', MAXVAL(nzb_local)
723	CALL message( 'init_grid', 'PA0210', 1, 2, 0, 6, 0 )
724	ENDIF
725
726	IF ( bc_lr == 'cyclic' ) THEN
727	IF ( ANY( nzb_local(:,-1) /= nzb_local(:,nx) ) .OR. &
728	ANY( nzb_local(:,0) /= nzb_local(:,nx+1) ) ) THEN
729	message_string = 'nzb_local does not fulfill cyclic' // &
730	' boundary condition in x-direction'
731	CALL message( 'init_grid', 'PA0211', 1, 2, 0, 6, 0 )
732	ENDIF
733	ENDIF
734	IF ( bc_ns == 'cyclic' ) THEN
735	IF ( ANY( nzb_local(-1,:) /= nzb_local(ny,:) ) .OR. &
736	ANY( nzb_local(0,:) /= nzb_local(ny+1,:) ) ) THEN
737	message_string = 'nzb_local does not fulfill cyclic' // &
738	' boundary condition in y-direction'
739	CALL message( 'init_grid', 'PA0212', 1, 2, 0, 6, 0 )
740	ENDIF
741	ENDIF
742
743	IF ( topography_grid_convention == 'cell_edge' ) THEN
744	!
745	!-- The array nzb_local as defined using the 'cell_edge' convention
746	!-- describes the actual total size of topography which is defined at the
747	!-- cell edges where u=0 on the topography walls in x-direction and v=0
748	!-- on the topography walls in y-direction. However, PALM uses individual
749	!-- arrays nzb_u\|v\|w\|s_inner\|outer that are based on nzb_s_inner.
750	!-- Therefore, the extent of topography in nzb_local is now reduced by
751	!-- 1dx at the E topography walls and by 1dy at the N topography walls
752	!-- to form the basis for nzb_s_inner.
753	DO j = -gls, ny + gls
754	DO i = -gls, nx
755	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j,i+1) )
756	ENDDO
757	ENDDO
758	!-- apply cyclic boundary conditions in x-direction
759	!(ist das erforderlich? Ursache von Seung Bus Fehler?)
760	nzb_local(:,nx+1:nx+gls) = nzb_local(:,0:gls-1)
761	DO i = -gls, nx + gls
762	DO j = -gls, ny
763	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j+1,i) )
764	ENDDO
765	ENDDO
766	!-- apply cyclic boundary conditions in y-direction
767	!(ist das erforderlich? Ursache von Seung Bus Fehler?)
768	nzb_local(ny+1:ny+gls,:) = nzb_local(0:gls-1,:)
769	ENDIF
770
771	!
772	!-- Initialize index arrays nzb_s_inner and nzb_w_inner
773	nzb_s_inner = nzb_local(nysg:nyng,nxlg:nxrg)
774	nzb_w_inner = nzb_local(nysg:nyng,nxlg:nxrg)
775
776	!
777	!-- Initialize remaining index arrays:
778	!-- first pre-initialize them with nzb_s_inner...
779	nzb_u_inner = nzb_s_inner
780	nzb_u_outer = nzb_s_inner
781	nzb_v_inner = nzb_s_inner
782	nzb_v_outer = nzb_s_inner
783	nzb_w_outer = nzb_s_inner
784	nzb_s_outer = nzb_s_inner
785
786	!
787	!-- ...then extend pre-initialized arrays in their according directions
788	!-- based on nzb_local using nzb_tmp as a temporary global index array
789
790	!
791	!-- nzb_s_outer:
792	!-- extend nzb_local east-/westwards first, then north-/southwards
793	nzb_tmp = nzb_local(-nbgp:ny+nbgp,-nbgp:nx+nbgp)
794	DO j = -1, ny + 1
795	DO i = 0, nx
796	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i), &
797	nzb_local(j,i+1) )
798	ENDDO
799	ENDDO
800	DO i = nxl, nxr
801	DO j = nys, nyn
802	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
803	nzb_tmp(j+1,i) )
804	ENDDO
805	!
806	!-- non-cyclic boundary conditions (overwritten by call of
807	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
808	IF ( nys == 0 ) THEN
809	j = -1
810	nzb_s_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
811	ENDIF
812	IF ( nys == ny ) THEN
813	j = ny + 1
814	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
815	ENDIF
816	ENDDO
817	!
818	!-- nzb_w_outer:
819	!-- identical to nzb_s_outer
820	nzb_w_outer = nzb_s_outer
821
822	!
823	!-- nzb_u_inner:
824	!-- extend nzb_local rightwards only
825	nzb_tmp = nzb_local(-nbgp:ny+nbgp,-nbgp:nx+nbgp)
826	DO j = -1, ny + 1
827	DO i = 0, nx + 1
828	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i) )
829	ENDDO
830	ENDDO
831	nzb_u_inner = nzb_tmp(nysg:nyng,nxlg:nxrg)
832
833	!
834	!-- nzb_u_outer:
835	!-- extend current nzb_tmp (nzb_u_inner) north-/southwards
836	DO i = nxl, nxr
837	DO j = nys, nyn
838	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
839	nzb_tmp(j+1,i) )
840	ENDDO
841	!
842	!-- non-cyclic boundary conditions (overwritten by call of
843	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
844	IF ( nys == 0 ) THEN
845	j = -1
846	nzb_u_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
847	ENDIF
848	IF ( nys == ny ) THEN
849	j = ny + 1
850	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
851	ENDIF
852	ENDDO
853
854	!
855	!-- nzb_v_inner:
856	!-- extend nzb_local northwards only
857	nzb_tmp = nzb_local(-nbgp:ny+nbgp,-nbgp:nx+nbgp)
858	DO i = -1, nx + 1
859	DO j = 0, ny + 1
860	nzb_tmp(j,i) = MAX( nzb_local(j-1,i), nzb_local(j,i) )
861	ENDDO
862	ENDDO
863	nzb_v_inner = nzb_tmp(nys-nbgp:nyn+nbgp,nxl-nbgp:nxr+nbgp)
864
865	!
866	!-- nzb_v_outer:
867	!-- extend current nzb_tmp (nzb_v_inner) right-/leftwards
868	DO j = nys, nyn
869	DO i = nxl, nxr
870	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i), &
871	nzb_tmp(j,i+1) )
872	ENDDO
873	!
874	!-- non-cyclic boundary conditions (overwritten by call of
875	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
876	IF ( nxl == 0 ) THEN
877	i = -1
878	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i+1), nzb_tmp(j,i) )
879	ENDIF
880	IF ( nxr == nx ) THEN
881	i = nx + 1
882	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i) )
883	ENDIF
884	ENDDO
885	#if ! defined ( __check )
886	!
887	!-- Exchange of lateral boundary values (parallel computers) and cyclic
888	!-- boundary conditions, if applicable.
889	!-- Since nzb_s_inner and nzb_w_inner are derived directly from nzb_local
890	!-- they do not require exchange and are not included here.
891	CALL exchange_horiz_2d_int( nzb_u_inner )
892	CALL exchange_horiz_2d_int( nzb_u_outer )
893	CALL exchange_horiz_2d_int( nzb_v_inner )
894	CALL exchange_horiz_2d_int( nzb_v_outer )
895	CALL exchange_horiz_2d_int( nzb_w_outer )
896	CALL exchange_horiz_2d_int( nzb_s_outer )
897
898	!
899	!-- Allocate and set the arrays containing the topography height
900	IF ( myid == 0 ) THEN
901
902	ALLOCATE( zu_s_inner(0:nx+1,0:ny+1), zw_w_inner(0:nx+1,0:ny+1) )
903
904	DO i = 0, nx + 1
905	DO j = 0, ny + 1
906	zu_s_inner(i,j) = zu(nzb_local(j,i))
907	zw_w_inner(i,j) = zw(nzb_local(j,i))
908	ENDDO
909	ENDDO
910
911	ENDIF
912	!
913	!-- Set flag arrays to be used for masking of grid points
914	DO i = nxlg, nxrg
915	DO j = nysg, nyng
916	DO k = nzb, nzt+1
917	IF ( k <= nzb_s_inner(j,i) ) rflags_s_inner(k,j,i) = 0.0_wp
918	IF ( k <= nzb_s_inner(j,i) ) rflags_invers(j,i,k) = 0.0_wp
919	ENDDO
920	ENDDO
921	ENDDO
922	#endif
923	ENDIF
924
925	#if ! defined ( __check )
926	!
927	!-- Preliminary: to be removed after completion of the topography code!
928	!-- Set the former default k index arrays nzb_2d
929	nzb_2d = nzb
930
931	!
932	!-- Set the individual index arrays which define the k index from which on
933	!-- the usual finite difference form (which does not use surface fluxes) is
934	!-- applied
935	IF ( prandtl_layer .OR. use_surface_fluxes ) THEN
936	nzb_diff_u = nzb_u_inner + 2
937	nzb_diff_v = nzb_v_inner + 2
938	nzb_diff_s_inner = nzb_s_inner + 2
939	nzb_diff_s_outer = nzb_s_outer + 2
940	ELSE
941	nzb_diff_u = nzb_u_inner + 1
942	nzb_diff_v = nzb_v_inner + 1
943	nzb_diff_s_inner = nzb_s_inner + 1
944	nzb_diff_s_outer = nzb_s_outer + 1
945	ENDIF
946
947	!
948	!-- Calculation of wall switches and factors required by diffusion_u/v.f90 and
949	!-- for limitation of near-wall mixing length l_wall further below
950	corner_nl = 0
951	corner_nr = 0
952	corner_sl = 0
953	corner_sr = 0
954	wall_l = 0
955	wall_n = 0
956	wall_r = 0
957	wall_s = 0
958
959	DO i = nxl, nxr
960	DO j = nys, nyn
961	!
962	!-- u-component
963	IF ( nzb_u_outer(j,i) > nzb_u_outer(j+1,i) ) THEN
964	wall_u(j,i) = 1.0_wp ! north wall (location of adjacent fluid)
965	fym(j,i) = 0.0_wp
966	fyp(j,i) = 1.0_wp
967	ELSEIF ( nzb_u_outer(j,i) > nzb_u_outer(j-1,i) ) THEN
968	wall_u(j,i) = 1.0_wp ! south wall (location of adjacent fluid)
969	fym(j,i) = 1.0_wp
970	fyp(j,i) = 0.0_wp
971	ENDIF
972	!
973	!-- v-component
974	IF ( nzb_v_outer(j,i) > nzb_v_outer(j,i+1) ) THEN
975	wall_v(j,i) = 1.0_wp ! rigth wall (location of adjacent fluid)
976	fxm(j,i) = 0.0_wp
977	fxp(j,i) = 1.0_wp
978	ELSEIF ( nzb_v_outer(j,i) > nzb_v_outer(j,i-1) ) THEN
979	wall_v(j,i) = 1.0_wp ! left wall (location of adjacent fluid)
980	fxm(j,i) = 1.0_wp
981	fxp(j,i) = 0.0_wp
982	ENDIF
983	!
984	!-- w-component, also used for scalars, separate arrays for shear
985	!-- production of tke
986	IF ( nzb_w_outer(j,i) > nzb_w_outer(j+1,i) ) THEN
987	wall_e_y(j,i) = 1.0_wp ! north wall (location of adjacent fluid)
988	wall_w_y(j,i) = 1.0_wp
989	fwym(j,i) = 0.0_wp
990	fwyp(j,i) = 1.0_wp
991	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j-1,i) ) THEN
992	wall_e_y(j,i) = -1.0_wp ! south wall (location of adjacent fluid)
993	wall_w_y(j,i) = 1.0_wp
994	fwym(j,i) = 1.0_wp
995	fwyp(j,i) = 0.0_wp
996	ENDIF
997	IF ( nzb_w_outer(j,i) > nzb_w_outer(j,i+1) ) THEN
998	wall_e_x(j,i) = 1.0_wp ! right wall (location of adjacent fluid)
999	wall_w_x(j,i) = 1.0_wp
1000	fwxm(j,i) = 0.0_wp
1001	fwxp(j,i) = 1.0_wp
1002	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j,i-1) ) THEN
1003	wall_e_x(j,i) = -1.0_wp ! left wall (location of adjacent fluid)
1004	wall_w_x(j,i) = 1.0_wp
1005	fwxm(j,i) = 1.0_wp
1006	fwxp(j,i) = 0.0_wp
1007	ENDIF
1008	!
1009	!-- Wall and corner locations inside buildings for limitation of
1010	!-- near-wall mixing length l_wall
1011	IF ( nzb_s_inner(j,i) > nzb_s_inner(j+1,i) ) THEN
1012
1013	wall_n(j,i) = nzb_s_inner(j+1,i) + 1 ! North wall
1014
1015	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
1016	corner_nl(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northleft corner
1017	nzb_s_inner(j,i-1) ) + 1
1018	ENDIF
1019
1020	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
1021	corner_nr(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northright corner
1022	nzb_s_inner(j,i+1) ) + 1
1023	ENDIF
1024
1025	ENDIF
1026
1027	IF ( nzb_s_inner(j,i) > nzb_s_inner(j-1,i) ) THEN
1028
1029	wall_s(j,i) = nzb_s_inner(j-1,i) + 1 ! South wall
1030	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
1031	corner_sl(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southleft corner
1032	nzb_s_inner(j,i-1) ) + 1
1033	ENDIF
1034
1035	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
1036	corner_sr(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southright corner
1037	nzb_s_inner(j,i+1) ) + 1
1038	ENDIF
1039
1040	ENDIF
1041
1042	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
1043	wall_l(j,i) = nzb_s_inner(j,i-1) + 1 ! Left wall
1044	ENDIF
1045
1046	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
1047	wall_r(j,i) = nzb_s_inner(j,i+1) + 1 ! Right wall
1048	ENDIF
1049
1050	ENDDO
1051	ENDDO
1052
1053	!
1054	!-- Calculate wall flag arrays for the multigrid method
1055	IF ( psolver(1:9) == 'multigrid' ) THEN
1056	!
1057	!-- Gridpoint increment of the current level
1058	inc = 1
1059
1060	DO l = maximum_grid_level, 1 , -1
1061
1062	nxl_l = nxl_mg(l)
1063	nxr_l = nxr_mg(l)
1064	nys_l = nys_mg(l)
1065	nyn_l = nyn_mg(l)
1066	nzt_l = nzt_mg(l)
1067
1068	!
1069	!-- Assign the flag level to be calculated
1070	SELECT CASE ( l )
1071	CASE ( 1 )
1072	flags => wall_flags_1
1073	CASE ( 2 )
1074	flags => wall_flags_2
1075	CASE ( 3 )
1076	flags => wall_flags_3
1077	CASE ( 4 )
1078	flags => wall_flags_4
1079	CASE ( 5 )
1080	flags => wall_flags_5
1081	CASE ( 6 )
1082	flags => wall_flags_6
1083	CASE ( 7 )
1084	flags => wall_flags_7
1085	CASE ( 8 )
1086	flags => wall_flags_8
1087	CASE ( 9 )
1088	flags => wall_flags_9
1089	CASE ( 10 )
1090	flags => wall_flags_10
1091	END SELECT
1092
1093	!
1094	!-- Depending on the grid level, set the respective bits in case of
1095	!-- neighbouring walls
1096	!-- Bit 0: wall to the bottom
1097	!-- Bit 1: wall to the top (not realized in remaining PALM code so far)
1098	!-- Bit 2: wall to the south
1099	!-- Bit 3: wall to the north
1100	!-- Bit 4: wall to the left
1101	!-- Bit 5: wall to the right
1102	!-- Bit 6: inside building
1103
1104	flags = 0
1105
1106	!
1107	!-- In case of masking method, flags are not set and multigrid method
1108	!-- works like FFT-solver
1109	IF ( .NOT. masking_method ) THEN
1110
1111	DO i = nxl_l-1, nxr_l+1
1112	DO j = nys_l-1, nyn_l+1
1113	DO k = nzb, nzt_l+1
1114
1115	!
1116	!-- Inside/outside building (inside building does not need
1117	!-- further tests for walls)
1118	IF ( kinc <= nzb_local(jinc,i*inc) ) THEN
1119
1120	flags(k,j,i) = IBSET( flags(k,j,i), 6 )
1121
1122	ELSE
1123	!
1124	!-- Bottom wall
1125	IF ( (k-1)inc <= nzb_local(jinc,i*inc) ) THEN
1126	flags(k,j,i) = IBSET( flags(k,j,i), 0 )
1127	ENDIF
1128	!
1129	!-- South wall
1130	IF ( kinc <= nzb_local((j-1)inc,i*inc) ) THEN
1131	flags(k,j,i) = IBSET( flags(k,j,i), 2 )
1132	ENDIF
1133	!
1134	!-- North wall
1135	IF ( kinc <= nzb_local((j+1)inc,i*inc) ) THEN
1136	flags(k,j,i) = IBSET( flags(k,j,i), 3 )
1137	ENDIF
1138	!
1139	!-- Left wall
1140	IF ( kinc <= nzb_local(jinc,(i-1)*inc) ) THEN
1141	flags(k,j,i) = IBSET( flags(k,j,i), 4 )
1142	ENDIF
1143	!
1144	!-- Right wall
1145	IF ( kinc <= nzb_local(jinc,(i+1)*inc) ) THEN
1146	flags(k,j,i) = IBSET( flags(k,j,i), 5 )
1147	ENDIF
1148
1149	ENDIF
1150
1151	ENDDO
1152	ENDDO
1153	ENDDO
1154
1155	ENDIF
1156
1157	!
1158	!-- Test output of flag arrays
1159	! i = nxl_l
1160	! WRITE (9,*) ' '
1161	! WRITE (9,) ' mg level ', l, ' *', mg_switch_to_pe0_level
1162	! WRITE (9,*) ' inc=', inc, ' i =', nxl_l
1163	! WRITE (9,*) ' nxl_l',nxl_l,' nxr_l=',nxr_l,' nys_l=',nys_l,' nyn_l=',nyn_l
1164	! DO k = nzt_l+1, nzb, -1
1165	! WRITE (9,'(194(1X,I2))') ( flags(k,j,i), j = nys_l-1, nyn_l+1 )
1166	! ENDDO
1167
1168	inc = inc * 2
1169
1170	ENDDO
1171
1172	ENDIF
1173	!
1174	!-- Allocate flags needed for masking walls.
1175	ALLOCATE( wall_flags_0(nzb:nzt,nys:nyn,nxl:nxr), &
1176	wall_flags_00(nzb:nzt,nys:nyn,nxl:nxr) )
1177	wall_flags_0 = 0
1178	wall_flags_00 = 0
1179
1180	IF ( scalar_advec == 'ws-scheme' .OR. &
1181	scalar_advec == 'ws-scheme-mono' ) THEN
1182	!
1183	!-- Set flags to steer the degradation of the advection scheme in advec_ws
1184	!-- near topography, inflow- and outflow boundaries as well as bottom and
1185	!-- top of model domain. wall_flags_0 remains zero for all non-prognostic
1186	!-- grid points.
1187	DO i = nxl, nxr
1188	DO j = nys, nyn
1189	DO k = nzb_s_inner(j,i)+1, nzt
1190	!
1191	!-- scalar - x-direction
1192	!-- WS1 (0), WS3 (1), WS5 (2)
1193	IF ( k <= nzb_s_inner(j,i+1) .OR. ( ( inflow_l .OR. outflow_l )&
1194	.AND. i == nxl ) .OR. ( ( inflow_r .OR. outflow_r ) &
1195	.AND. i == nxr ) ) THEN
1196	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 0 )
1197	ELSEIF ( k <= nzb_s_inner(j,i+2) .OR. k <= nzb_s_inner(j,i-1) &
1198	.OR. ( ( inflow_r .OR. outflow_r ) .AND. i == nxr-1 ) &
1199	.OR. ( ( inflow_l .OR. outflow_l ) .AND. i == nxlu ) &
1200	) THEN
1201	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 1 )
1202	ELSE
1203	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 2 )
1204	ENDIF
1205	!
1206	!-- scalar - y-direction
1207	!-- WS1 (3), WS3 (4), WS5 (5)
1208	IF ( k <= nzb_s_inner(j+1,i) .OR. ( ( inflow_s .OR. outflow_s )&
1209	.AND. j == nys ) .OR. ( ( inflow_n .OR. outflow_n ) &
1210	.AND. j == nyn ) ) THEN
1211	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 3 )
1212	!-- WS3
1213	ELSEIF ( k <= nzb_s_inner(j+2,i) .OR. k <= nzb_s_inner(j-1,i) &
1214	.OR. ( ( inflow_s .OR. outflow_s ) .AND. j == nysv ) &
1215	.OR. ( ( inflow_n .OR. outflow_n ) .AND. j == nyn-1 ) &
1216	) THEN
1217	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 4 )
1218	!-- WS5
1219	ELSE
1220	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 5 )
1221	ENDIF
1222	!
1223	!-- scalar - z-direction
1224	!-- WS1 (6), WS3 (7), WS5 (8)
1225	flag_set = .FALSE.
1226	IF ( k == nzb_s_inner(j,i) + 1 .OR. k == nzt ) THEN
1227	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 6 )
1228	flag_set = .TRUE.
1229	ELSEIF ( k == nzb_s_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN
1230	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 7 )
1231	flag_set = .TRUE.
1232	ELSEIF ( k > nzb_s_inner(j,i) .AND. .NOT. flag_set ) THEN
1233	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 8 )
1234	ENDIF
1235	ENDDO
1236	ENDDO
1237	ENDDO
1238	ENDIF
1239
1240	IF ( momentum_advec == 'ws-scheme' ) THEN
1241	!
1242	!-- Set wall_flags_0 to steer the degradation of the advection scheme in advec_ws
1243	!-- near topography, inflow- and outflow boundaries as well as bottom and
1244	!-- top of model domain. wall_flags_0 remains zero for all non-prognostic
1245	!-- grid points.
1246	DO i = nxl, nxr
1247	DO j = nys, nyn
1248	DO k = nzb+1, nzt
1249	!
1250	!-- At first, set flags to WS1.
1251	!-- Since fluxes are swapped in advec_ws.f90, this is necessary to
1252	!-- in order to handle the left/south flux.
1253	!-- near vertical walls.
1254	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 9 )
1255	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 12 )
1256	!
1257	!-- u component - x-direction
1258	!-- WS1 (9), WS3 (10), WS5 (11)
1259	IF ( k <= nzb_u_inner(j,i+1) &
1260	.OR. ( ( inflow_l .OR. outflow_l ) .AND. i <= nxlu ) &
1261	.OR. ( ( inflow_r .OR. outflow_r ) .AND. i == nxr ) &
1262	) THEN
1263	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 9 )
1264	ELSEIF ( k <= nzb_u_inner(j,i+2) .OR. k <= nzb_u_inner(j,i-1) &
1265	.OR. ( ( inflow_r .OR. outflow_r ) .AND. i == nxr-1 )&
1266	.OR. ( ( inflow_l .OR. outflow_l ) .AND. i == nxlu+1)&
1267	) THEN
1268	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 10 )
1269	!
1270	!-- Clear flag for WS1
1271	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 9 )
1272	ELSE
1273	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 11 )
1274	!
1275	!-- Clear flag for WS1
1276	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 9 )
1277	ENDIF
1278	!
1279	!-- u component - y-direction
1280	!-- WS1 (12), WS3 (13), WS5 (14)
1281	IF ( k <= nzb_u_inner(j+1,i) .OR. ( ( inflow_s .OR. outflow_s )&
1282	.AND. j == nys ) .OR. ( ( inflow_n .OR. outflow_n ) &
1283	.AND. j == nyn ) ) THEN
1284	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 12 )
1285	ELSEIF ( k <= nzb_u_inner(j+2,i) .OR. k <= nzb_u_inner(j-1,i) &
1286	.OR. ( ( inflow_s .OR. outflow_s ) .AND. j == nysv ) &
1287	.OR. ( ( inflow_n .OR. outflow_n ) .AND. j == nyn-1 ) &
1288	) THEN
1289	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 13 )
1290	!
1291	!-- Clear flag for WS1
1292	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 12 )
1293	ELSE
1294	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 14 )
1295	!
1296	!-- Clear flag for WS1
1297	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 12 )
1298	ENDIF
1299	!
1300	!-- u component - z-direction
1301	!-- WS1 (15), WS3 (16), WS5 (17)
1302	flag_set = .FALSE.
1303	IF ( k == nzb_u_inner(j,i) + 1 .OR. k == nzt ) THEN
1304	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 15 )
1305	flag_set = .TRUE.
1306	ELSEIF ( k == nzb_u_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN
1307	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 16 )
1308	flag_set = .TRUE.
1309	ELSEIF ( k > nzb_u_inner(j,i) .AND. .NOT. flag_set ) THEN
1310	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 17 )
1311	ENDIF
1312
1313	ENDDO
1314	ENDDO
1315	ENDDO
1316
1317	DO i = nxl, nxr
1318	DO j = nys, nyn
1319	DO k = nzb+1, nzt
1320	!
1321	!-- At first, set flags to WS1.
1322	!-- Since fluxes are swapped in advec_ws.f90, this is necessary to
1323	!-- in order to handle the left/south flux.
1324	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 18 )
1325	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 21 )
1326	!
1327	!-- v component - x-direction
1328	!-- WS1 (18), WS3 (19), WS5 (20)
1329	IF ( k <= nzb_v_inner(j,i+1) .OR. ( ( inflow_l .OR. outflow_l )&
1330	.AND. i == nxl ) .OR. (( inflow_r .OR. outflow_r ) &
1331	.AND. i == nxr ) ) THEN
1332	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 18 )
1333	!-- WS3
1334	ELSEIF ( k <= nzb_v_inner(j,i+2) .OR. k <= nzb_v_inner(j,i-1) &
1335	.OR. ( ( inflow_r .OR. outflow_r ) .AND. i == nxr-1 ) &
1336	.OR. ( ( inflow_l .OR. outflow_l ) .AND. i == nxlu ) &
1337	) THEN
1338	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 19 )
1339	!
1340	!-- Clear flag for WS1
1341	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 18 )
1342	ELSE
1343	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 20 )
1344	!
1345	!-- Clear flag for WS1
1346	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 18 )
1347	ENDIF
1348	!
1349	!-- v component - y-direction
1350	!-- WS1 (21), WS3 (22), WS5 (23)
1351	IF ( k <= nzb_v_inner(j+1,i) &
1352	.OR. ( ( inflow_s .OR. outflow_s ) .AND. j <= nysv ) &
1353	.OR. ( ( inflow_n .OR. outflow_n ) .AND. j == nyn ) &
1354	) THEN
1355	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 21 )
1356	ELSEIF ( k <= nzb_v_inner(j+2,i) .OR. k <= nzb_v_inner(j-1,i) &
1357	.OR. ( ( inflow_s .OR. outflow_s ) .AND. j == nysv+1 )&
1358	.OR. ( ( inflow_n .OR. outflow_n ) .AND. j == nyn-1 )&
1359	) THEN
1360	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 22 )
1361	!
1362	!-- Clear flag for WS1
1363	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 21 )
1364	ELSE
1365	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 23 )
1366	!
1367	!-- Clear flag for WS1
1368	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 21 )
1369	ENDIF
1370	!
1371	!-- v component - z-direction
1372	!-- WS1 (24), WS3 (25), WS5 (26)
1373	flag_set = .FALSE.
1374	IF ( k == nzb_v_inner(j,i) + 1 .OR. k == nzt ) THEN
1375	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 24 )
1376	flag_set = .TRUE.
1377	ELSEIF ( k == nzb_v_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN
1378	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 25 )
1379	flag_set = .TRUE.
1380	ELSEIF ( k > nzb_v_inner(j,i) .AND. .NOT. flag_set ) THEN
1381	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 26 )
1382	ENDIF
1383
1384	ENDDO
1385	ENDDO
1386	ENDDO
1387	DO i = nxl, nxr
1388	DO j = nys, nyn
1389	DO k = nzb+1, nzt
1390	!
1391	!-- At first, set flags to WS1.
1392	!-- Since fluxes are swapped in advec_ws.f90, this is necessary to
1393	!-- in order to handle the left/south flux.
1394	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 27 )
1395	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 30 )
1396	!
1397	!-- w component - x-direction
1398	!-- WS1 (27), WS3 (28), WS5 (29)
1399	IF ( k <= nzb_w_inner(j,i+1) .OR. ( ( inflow_l .OR. outflow_l )&
1400	.AND. i == nxl ) .OR. ( ( inflow_r .OR. outflow_r ) &
1401	.AND. i == nxr ) ) THEN
1402	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 27 )
1403	ELSEIF ( k <= nzb_w_inner(j,i+2) .OR. k <= nzb_w_inner(j,i-1) &
1404	.OR. ( ( inflow_r .OR. outflow_r ) .AND. i == nxr-1 ) &
1405	.OR. ( ( inflow_l .OR. outflow_l ) .AND. i == nxlu ) &
1406	) THEN
1407	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 28 )
1408	!
1409	!-- Clear flag for WS1
1410	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 27 )
1411	ELSE
1412	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i),29 )
1413	!
1414	!-- Clear flag for WS1
1415	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 27 )
1416	ENDIF
1417	!
1418	!-- w component - y-direction
1419	!-- WS1 (30), WS3 (31), WS5 (32)
1420	IF ( k <= nzb_w_inner(j+1,i) .OR. ( ( inflow_s .OR. outflow_s )&
1421	.AND. j == nys ) .OR. ( ( inflow_n .OR. outflow_n ) &
1422	.AND. j == nyn ) ) THEN
1423	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 30 )
1424	ELSEIF ( k <= nzb_w_inner(j+2,i) .OR. k <= nzb_w_inner(j-1,i) &
1425	.OR. ( ( inflow_s .OR. outflow_s ) .AND. j == nysv ) &
1426	.OR. ( ( inflow_n .OR. outflow_n ) .AND. j == nyn-1 ) &
1427	) THEN
1428	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 31 )
1429	!
1430	!-- Clear flag for WS1
1431	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 30 )
1432	ELSE
1433	wall_flags_00(k,j,i) = IBSET( wall_flags_00(k,j,i), 0 )
1434	!
1435	!-- Clear flag for WS1
1436	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 30 )
1437	ENDIF
1438	!
1439	!-- w component - z-direction
1440	!-- WS1 (33), WS3 (34), WS5 (35)
1441	flag_set = .FALSE.
1442	IF ( k == nzb_w_inner(j,i) .OR. k == nzb_w_inner(j,i) + 1 &
1443	.OR. k == nzt ) THEN
1444	!
1445	!-- Please note, at k == nzb_w_inner(j,i) a flag is explictely
1446	!-- set, although this is not a prognostic level. However,
1447	!-- contrary to the advection of u,v and s this is necessary
1448	!-- because flux_t(nzb_w_inner(j,i)) is used for the tendency
1449	!-- at k == nzb_w_inner(j,i)+1.
1450	wall_flags_00(k,j,i) = IBSET( wall_flags_00(k,j,i), 1 )
1451	flag_set = .TRUE.
1452	ELSEIF ( k == nzb_w_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN
1453	wall_flags_00(k,j,i) = IBSET( wall_flags_00(k,j,i), 2 )
1454	flag_set = .TRUE.
1455	ELSEIF ( k > nzb_w_inner(j,i) .AND. .NOT. flag_set ) THEN
1456	wall_flags_00(k,j,i) = IBSET( wall_flags_00(k,j,i), 3 )
1457	ENDIF
1458
1459	ENDDO
1460	ENDDO
1461	ENDDO
1462
1463	ENDIF
1464
1465	!
1466	!-- In case of topography: limit near-wall mixing length l_wall further:
1467	!-- Go through all points of the subdomain one by one and look for the closest
1468	!-- surface
1469	IF ( TRIM(topography) /= 'flat' ) THEN
1470	DO i = nxl, nxr
1471	DO j = nys, nyn
1472
1473	nzb_si = nzb_s_inner(j,i)
1474	vi = vertical_influence(nzb_si)
1475
1476	IF ( wall_n(j,i) > 0 ) THEN
1477	!
1478	!-- North wall (y distance)
1479	DO k = wall_n(j,i), nzb_si
1480	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), 0.5_wp * dy )
1481	ENDDO
1482	!
1483	!-- Above North wall (yz distance)
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 + &
1487	( zu(k) - zw(nzb_si) )**2 ) )
1488	ENDDO
1489	!
1490	!-- Northleft corner (xy distance)
1491	IF ( corner_nl(j,i) > 0 ) THEN
1492	DO k = corner_nl(j,i), nzb_si
1493	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
1494	0.5_wp * SQRT( dx2 + dy2 ) )
1495	ENDDO
1496	!
1497	!-- Above Northleft corner (xyz distance)
1498	DO k = nzb_si + 1, nzb_si + vi
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 ) )
1502	ENDDO
1503	ENDIF
1504	!
1505	!-- Northright corner (xy distance)
1506	IF ( corner_nr(j,i) > 0 ) THEN
1507	DO k = corner_nr(j,i), nzb_si
1508	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
1509	0.5_wp * SQRT( dx2 + dy2 ) )
1510	ENDDO
1511	!
1512	!-- Above northright corner (xyz distance)
1513	DO k = nzb_si + 1, nzb_si + vi
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 ) )
1517	ENDDO
1518	ENDIF
1519	ENDIF
1520
1521	IF ( wall_s(j,i) > 0 ) THEN
1522	!
1523	!-- South wall (y distance)
1524	DO k = wall_s(j,i), nzb_si
1525	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), 0.5_wp * dy )
1526	ENDDO
1527	!
1528	!-- Above south wall (yz distance)
1529	DO k = nzb_si + 1, nzb_si + vi
1530	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), &
1531	SQRT( 0.25_wp * dy**2 + &
1532	( zu(k) - zw(nzb_si) )**2 ) )
1533	ENDDO
1534	!
1535	!-- Southleft corner (xy distance)
1536	IF ( corner_sl(j,i) > 0 ) THEN
1537	DO k = corner_sl(j,i), nzb_si
1538	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
1539	0.5_wp * SQRT( dx2 + dy2 ) )
1540	ENDDO
1541	!
1542	!-- Above southleft corner (xyz distance)
1543	DO k = nzb_si + 1, nzb_si + vi
1544	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
1545	SQRT( 0.25_wp * (dx2 + dy2) + &
1546	( zu(k) - zw(nzb_si) )**2 ) )
1547	ENDDO
1548	ENDIF
1549	!
1550	!-- Southright corner (xy distance)
1551	IF ( corner_sr(j,i) > 0 ) THEN
1552	DO k = corner_sr(j,i), nzb_si
1553	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
1554	0.5_wp * SQRT( dx2 + dy2 ) )
1555	ENDDO
1556	!
1557	!-- Above southright corner (xyz distance)
1558	DO k = nzb_si + 1, nzb_si + vi
1559	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
1560	SQRT( 0.25_wp * (dx2 + dy2) + &
1561	( zu(k) - zw(nzb_si) )**2 ) )
1562	ENDDO
1563	ENDIF
1564
1565	ENDIF
1566
1567	IF ( wall_l(j,i) > 0 ) THEN
1568	!
1569	!-- Left wall (x distance)
1570	DO k = wall_l(j,i), nzb_si
1571	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), 0.5_wp * dx )
1572	ENDDO
1573	!
1574	!-- Above left wall (xz distance)
1575	DO k = nzb_si + 1, nzb_si + vi
1576	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), &
1577	SQRT( 0.25_wp * dx**2 + &
1578	( zu(k) - zw(nzb_si) )**2 ) )
1579	ENDDO
1580	ENDIF
1581
1582	IF ( wall_r(j,i) > 0 ) THEN
1583	!
1584	!-- Right wall (x distance)
1585	DO k = wall_r(j,i), nzb_si
1586	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), 0.5_wp * dx )
1587	ENDDO
1588	!
1589	!-- Above right wall (xz distance)
1590	DO k = nzb_si + 1, nzb_si + vi
1591	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), &
1592	SQRT( 0.25_wp * dx**2 + &
1593	( zu(k) - zw(nzb_si) )**2 ) )
1594	ENDDO
1595
1596	ENDIF
1597
1598	ENDDO
1599	ENDDO
1600
1601	ENDIF
1602
1603	!
1604	!-- Multiplication with wall_adjustment_factor
1605	l_wall = wall_adjustment_factor * l_wall
1606
1607	!
1608	!-- Set lateral boundary conditions for l_wall
1609	CALL exchange_horiz( l_wall, nbgp )
1610
1611	DEALLOCATE( corner_nl, corner_nr, corner_sl, corner_sr, nzb_local, &
1612	nzb_tmp, vertical_influence, wall_l, wall_n, wall_r, wall_s )
1613
1614	#endif
1615
1616	END SUBROUTINE init_grid

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