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source: palm/trunk/SOURCE/init_grid.f90 @ 1932

Last change on this file since 1932 was 1932, checked in by suehring, 8 years ago
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1	!> @file init_grid.f90
2	!-------------------------------------------------------------------------------!
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	!
16	! Copyright 1997-2016 Leibniz Universitaet Hannover
17	!-------------------------------------------------------------------------------!
18	!
19	! Current revisions:
20	! -----------------
21	!
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: init_grid.f90 1932 2016-06-10 12:09:21Z suehring $
26	!
27	! 1931 2016-06-10 12:06:59Z suehring
28	! Rename multigrid into multigrid_noopt and multigrid_fast into multigrid
29	!
30	! 1910 2016-05-26 06:49:46Z raasch
31	! Bugfix: if topography is read from file, Neumann conditions are used for the
32	! nzb_local array (instead of cyclic conditions) in case that non-cyclic
33	! boundary conditions are switched on for the run
34	!
35	! 1902 2016-05-09 11:18:56Z suehring
36	! Set topography flags for multigrid solver only (not for multigrid_fast)
37	!
38	! 1886 2016-04-21 11:20:47Z suehring
39	! Bugfix: setting advection flags near walls
40	! reformulated index values for nzb_v_inner
41	! variable discriptions added in declaration block
42	!
43	! 1845 2016-04-08 08:29:13Z raasch
44	! nzb_2d removed
45	!
46	! 1804 2016-04-05 16:30:18Z maronga
47	! Removed code for parameter file check (__check)
48	!
49	! 1779 2016-03-03 08:01:28Z raasch
50	! coupling_char is trimmed at every place it occurs, because it can have
51	! different length now
52	!
53	! 1762 2016-02-25 12:31:13Z hellstea
54	! Introduction of nested domain feature
55	!
56	! 1743 2016-01-13 10:23:51Z raasch
57	! Bugfix for calculation of nzb_s_outer and nzb_u_outer at north boundary of
58	! total domain
59	!
60	! 1691 2015-10-26 16:17:44Z maronga
61	! Renamed prandtl_layer to constant_flux_layer.
62	!
63	! 1682 2015-10-07 23:56:08Z knoop
64	! Code annotations made doxygen readable
65	!
66	! 1677 2015-10-02 13:25:23Z boeske
67	! Bugfix: Ghost points are included in wall_flags_0 and wall_flags_00
68	!
69	! 1675 2015-10-02 08:28:59Z gronemeier
70	! Bugfix: Definition of topography grid levels
71	!
72	! 1660 2015-09-21 08:15:16Z gronemeier
73	! Bugfix: Definition of topography grid levels if vertical grid stretching
74	! starts below the maximum topography height.
75	!
76	! 1580 2015-04-10 13:43:49Z suehring
77	! Bugfix: setting flags for 5th order scheme near buildings
78	!
79	! 1575 2015-03-27 09:56:27Z raasch
80	! adjustments for psolver-queries
81	!
82	! 1557 2015-03-05 16:43:04Z suehring
83	! Adjustment for monotoinic limiter
84	!
85	! 1418 2014-06-06 13:05:08Z fricke
86	! Bugfix: Change if-condition for stretched grid in the ocean, with the old
87	! condition and a negative value for dz_stretch_level the condition
88	! was always true for the whole model domain
89	!
90	! 1409 2014-05-23 12:11:32Z suehring
91	! Bugfix: set wall_flags_0 at inflow and outflow boundary also for i <= nxlu
92	! j <= nysv
93	!
94	! 1353 2014-04-08 15:21:23Z heinze
95	! REAL constants provided with KIND-attribute
96	!
97	! 1322 2014-03-20 16:38:49Z raasch
98	! REAL constants defined as wp-kind
99	!
100	! 1320 2014-03-20 08:40:49Z raasch
101	! ONLY-attribute added to USE-statements,
102	! kind-parameters added to all INTEGER and REAL declaration statements,
103	! kinds are defined in new module kinds,
104	! revision history before 2012 removed,
105	! comment fields (!:) to be used for variable explanations added to
106	! all variable declaration statements
107	!
108	! 1221 2013-09-10 08:59:13Z raasch
109	! wall_flags_00 introduced to hold bits 32-63,
110	! additional 3D-flag arrays for replacing the 2D-index array nzb_s_inner in
111	! loops optimized for openACC (pres + flow_statistics)
112	!
113	! 1092 2013-02-02 11:24:22Z raasch
114	! unused variables removed
115	!
116	! 1069 2012-11-28 16:18:43Z maronga
117	! bugfix: added coupling_char to TOPOGRAPHY_DATA to allow topography in the
118	! ocean model in case of coupled runs
119	!
120	! 1036 2012-10-22 13:43:42Z raasch
121	! code put under GPL (PALM 3.9)
122	!
123	! 1015 2012-09-27 09:23:24Z raasch
124	! lower index for calculating wall_flags_0 set to nzb_w_inner instead of
125	! nzb_w_inner+1
126	!
127	! 996 2012-09-07 10:41:47Z raasch
128	! little reformatting
129	!
130	! 978 2012-08-09 08:28:32Z fricke
131	! Bugfix: nzb_max is set to nzt at non-cyclic lateral boundaries
132	! Bugfix: Set wall_flags_0 for inflow boundary
133	!
134	! 927 2012-06-06 19:15:04Z raasch
135	! Wall flags are not set for multigrid method in case of masking method
136	!
137	! 864 2012-03-27 15:10:33Z gryschka
138	! In case of ocean and Dirichlet bottom bc for u and v dzu_mg and ddzu_pres
139	! were not correctly defined for k=1.
140	!
141	! 861 2012-03-26 14:18:34Z suehring
142	! Set wall_flags_0. The array is needed for degradation in ws-scheme near walls,
143	! inflow and outflow boundaries as well as near the bottom and the top of the
144	! model domain.!
145	! Initialization of nzb_s_inner and nzb_w_inner.
146	! gls has to be at least nbgp to do not exceed the array bounds of nzb_local
147	! while setting wall_flags_0
148	!
149	! 843 2012-02-29 15:16:21Z gryschka
150	! In case of ocean and dirichlet bc for u and v at the bottom
151	! the first u-level ist defined at same height as the first w-level
152	!
153	! 818 2012-02-08 16:11:23Z maronga
154	! Bugfix: topo_height is only required if topography is used. It is thus now
155	! allocated in the topography branch
156	!
157	! 809 2012-01-30 13:32:58Z maronga
158	! Bugfix: replaced .AND. and .NOT. with && and ! in the preprocessor directives
159	!
160	! 807 2012-01-25 11:53:51Z maronga
161	! New cpp directive "__check" implemented which is used by check_namelist_files
162	!
163	! Revision 1.1 1997/08/11 06:17:45 raasch
164	! Initial revision (Testversion)
165	!
166	!
167	! Description:
168	! ------------
169	!> Creating grid depending constants
170	!------------------------------------------------------------------------------!
171	SUBROUTINE init_grid
172
173
174	USE arrays_3d, &
175	ONLY: dd2zu, ddzu, ddzu_pres, ddzw, dzu, dzu_mg, dzw, dzw_mg, f1_mg, &
176	f2_mg, f3_mg, l_grid, l_wall, zu, zw
177
178	USE control_parameters, &
179	ONLY: bc_lr_cyc, bc_ns_cyc, building_height, building_length_x, &
180	building_length_y, building_wall_left, building_wall_south, &
181	canyon_height, canyon_wall_left, canyon_wall_south, &
182	canyon_width_x, canyon_width_y, constant_flux_layer, &
183	coupling_char, dp_level_ind_b, dz, dz_max, dz_stretch_factor, &
184	dz_stretch_level, dz_stretch_level_index, ibc_uv_b, io_blocks, &
185	io_group, inflow_l, inflow_n, inflow_r, inflow_s, &
186	masking_method, maximum_grid_level, message_string, &
187	momentum_advec, nest_domain, nest_bound_l, nest_bound_n, &
188	nest_bound_r, nest_bound_s, ocean, outflow_l, outflow_n, &
189	outflow_r, outflow_s, psolver, scalar_advec, topography, &
190	topography_grid_convention, use_surface_fluxes, use_top_fluxes, &
191	wall_adjustment_factor
192
193	USE grid_variables, &
194	ONLY: ddx, ddx2, ddx2_mg, ddy, ddy2, ddy2_mg, dx, dx2, dy, dy2, fwxm, &
195	fwxp, fwym, fwyp, fxm, fxp, fym, fyp, wall_e_x, wall_e_y, &
196	wall_u, wall_v, wall_w_x, wall_w_y, zu_s_inner, zw_w_inner
197
198	USE indices, &
199	ONLY: flags, nbgp, nx, nxl, nxlg, nxlu, nxl_mg, nxr, nxrg, nxr_mg, &
200	ny, nyn, nyng, nyn_mg, nys, nysv, nys_mg, nysg, nz, nzb, &
201	nzb_diff, nzb_diff_s_inner, nzb_diff_s_outer, nzb_diff_u, &
202	nzb_diff_v, nzb_max, nzb_s_inner, nzb_s_outer, nzb_u_inner, &
203	nzb_u_outer, nzb_v_inner, nzb_v_outer, nzb_w_inner, &
204	nzb_w_outer, nzt, nzt_diff, nzt_mg, rflags_invers, &
205	rflags_s_inner, wall_flags_0, wall_flags_00, wall_flags_1, &
206	wall_flags_10, wall_flags_2, wall_flags_3, wall_flags_4, &
207	wall_flags_5, wall_flags_6, wall_flags_7, wall_flags_8, &
208	wall_flags_9
209
210	USE kinds
211
212	USE pegrid
213
214	IMPLICIT NONE
215
216	INTEGER(iwp) :: bh !< temporary vertical index of building height
217	INTEGER(iwp) :: blx !< grid point number of building size along x
218	INTEGER(iwp) :: bly !< grid point number of building size along y
219	INTEGER(iwp) :: bxl !< index for left building wall
220	INTEGER(iwp) :: bxr !< index for right building wall
221	INTEGER(iwp) :: byn !< index for north building wall
222	INTEGER(iwp) :: bys !< index for south building wall
223	INTEGER(iwp) :: ch !< temporary vertical index for canyon height
224	INTEGER(iwp) :: cwx !< grid point number of canyon size along x
225	INTEGER(iwp) :: cwy !< grid point number of canyon size along y
226	INTEGER(iwp) :: cxl !< index for left canyon wall
227	INTEGER(iwp) :: cxr !< index for right canyon wall
228	INTEGER(iwp) :: cyn !< index for north canyon wall
229	INTEGER(iwp) :: cys !< index for south canyon wall
230	INTEGER(iwp) :: gls !< number of lateral ghost points at total model domain boundaries required for multigrid solver
231	INTEGER(iwp) :: i !< index variable along x
232	INTEGER(iwp) :: ii !< loop variable for reading topography file
233	INTEGER(iwp) :: inc !< incremental parameter for coarsening grid level
234	INTEGER(iwp) :: j !< index variable along y
235	INTEGER(iwp) :: k !< index variable along z
236	INTEGER(iwp) :: l !< loop variable
237	INTEGER(iwp) :: nxl_l !< index of left PE boundary for multigrid level
238	INTEGER(iwp) :: nxr_l !< index of right PE boundary for multigrid level
239	INTEGER(iwp) :: nyn_l !< index of north PE boundary for multigrid level
240	INTEGER(iwp) :: nys_l !< index of south PE boundary for multigrid level
241	INTEGER(iwp) :: nzb_si !< dummy index for local nzb_s_inner
242	INTEGER(iwp) :: nzt_l !< index of top PE boundary for multigrid level
243	INTEGER(iwp) :: vi !< dummy for vertical influence
244
245	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: &
246	vertical_influence !< number of vertical grid points above obstacle where adjustment of near-wall mixing length is required
247
248	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_nl !< index of north-left corner location to limit near-wall mixing length
249	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_nr !< north-right
250	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_sl !< south-left
251	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_sr !< south-right
252	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_l !< distance to adjacent left-facing
253	!< wall
254	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_n !< north-facing
255	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_r !< right-facing
256	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_s !< right-facing
257	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_local !< index for topography
258	!< top at cell-center
259	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_tmp !< dummy to calculate topography indices on u- and v-grid
260
261	LOGICAL :: flag_set = .FALSE. !< steering variable for advection flags
262
263	REAL(wp) :: dx_l !< grid spacing along x on different multigrid level
264	REAL(wp) :: dy_l !< grid spacing along y on different multigrid level
265	REAL(wp) :: dz_stretched !< stretched vertical grid spacing
266
267	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: topo_height !< input variable for topography height
268
269
270	!
271	!-- Calculation of horizontal array bounds including ghost layers
272	nxlg = nxl - nbgp
273	nxrg = nxr + nbgp
274	nysg = nys - nbgp
275	nyng = nyn + nbgp
276
277	!
278	!-- Allocate grid arrays
279	ALLOCATE( ddzu(1:nzt+1), ddzw(1:nzt+1), dd2zu(1:nzt), dzu(1:nzt+1), &
280	dzw(1:nzt+1), l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1) )
281
282	!
283	!-- Compute height of u-levels from constant grid length and dz stretch factors
284	IF ( dz == -1.0_wp ) THEN
285	message_string = 'missing dz'
286	CALL message( 'init_grid', 'PA0200', 1, 2, 0, 6, 0 )
287	ELSEIF ( dz <= 0.0_wp ) THEN
288	WRITE( message_string, * ) 'dz=',dz,' <= 0.0'
289	CALL message( 'init_grid', 'PA0201', 1, 2, 0, 6, 0 )
290	ENDIF
291
292	!
293	!-- Define the vertical grid levels
294	IF ( .NOT. ocean ) THEN
295	!
296	!-- Grid for atmosphere with surface at z=0 (k=0, w-grid).
297	!-- The second u-level (k=1) corresponds to the top of the
298	!-- Prandtl-layer.
299
300	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
301	zu(0) = 0.0_wp
302	! zu(0) = - dz * 0.5_wp
303	ELSE
304	zu(0) = - dz * 0.5_wp
305	ENDIF
306	zu(1) = dz * 0.5_wp
307
308	dz_stretch_level_index = nzt+1
309	dz_stretched = dz
310	DO k = 2, nzt+1
311	IF ( dz_stretch_level <= zu(k-1) .AND. dz_stretched < dz_max ) THEN
312	dz_stretched = dz_stretched * dz_stretch_factor
313	dz_stretched = MIN( dz_stretched, dz_max )
314	IF ( dz_stretch_level_index == nzt+1 ) dz_stretch_level_index = k-1
315	ENDIF
316	zu(k) = zu(k-1) + dz_stretched
317	ENDDO
318
319	!
320	!-- Compute the w-levels. They are always staggered half-way between the
321	!-- corresponding u-levels. In case of dirichlet bc for u and v at the
322	!-- ground the first u- and w-level (k=0) are defined at same height (z=0).
323	!-- The top w-level is extrapolated linearly.
324	zw(0) = 0.0_wp
325	DO k = 1, nzt
326	zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp
327	ENDDO
328	zw(nzt+1) = zw(nzt) + 2.0_wp * ( zu(nzt+1) - zw(nzt) )
329
330	ELSE
331	!
332	!-- Grid for ocean with free water surface is at k=nzt (w-grid).
333	!-- In case of neumann bc at the ground the first first u-level (k=0) lies
334	!-- below the first w-level (k=0). In case of dirichlet bc the first u- and
335	!-- w-level are defined at same height, but staggered from the second level.
336	!-- The second u-level (k=1) corresponds to the top of the Prandtl-layer.
337	zu(nzt+1) = dz * 0.5_wp
338	zu(nzt) = - dz * 0.5_wp
339
340	dz_stretch_level_index = 0
341	dz_stretched = dz
342	DO k = nzt-1, 0, -1
343	!
344	!-- The default value of dz_stretch_level is positive, thus the first
345	!-- condition is always true. Hence, the second condition is necessary.
346	IF ( dz_stretch_level >= zu(k+1) .AND. dz_stretch_level <= 0.0 &
347	.AND. dz_stretched < dz_max ) THEN
348	dz_stretched = dz_stretched * dz_stretch_factor
349	dz_stretched = MIN( dz_stretched, dz_max )
350	IF ( dz_stretch_level_index == 0 ) dz_stretch_level_index = k+1
351	ENDIF
352	zu(k) = zu(k+1) - dz_stretched
353	ENDDO
354
355	!
356	!-- Compute the w-levels. They are always staggered half-way between the
357	!-- corresponding u-levels, except in case of dirichlet bc for u and v
358	!-- at the ground. In this case the first u- and w-level are defined at
359	!-- same height. The top w-level (nzt+1) is not used but set for
360	!-- consistency, since w and all scalar variables are defined up tp nzt+1.
361	zw(nzt+1) = dz
362	zw(nzt) = 0.0_wp
363	DO k = 0, nzt
364	zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp
365	ENDDO
366
367	!
368	!-- In case of dirichlet bc for u and v the first u- and w-level are defined
369	!-- at same height.
370	IF ( ibc_uv_b == 0 ) THEN
371	zu(0) = zw(0)
372	ENDIF
373
374	ENDIF
375
376	!
377	!-- Compute grid lengths.
378	DO k = 1, nzt+1
379	dzu(k) = zu(k) - zu(k-1)
380	ddzu(k) = 1.0_wp / dzu(k)
381	dzw(k) = zw(k) - zw(k-1)
382	ddzw(k) = 1.0_wp / dzw(k)
383	ENDDO
384
385	DO k = 1, nzt
386	dd2zu(k) = 1.0_wp / ( dzu(k) + dzu(k+1) )
387	ENDDO
388
389	!
390	!-- The FFT- SOR-pressure solvers assume grid spacings of a staggered grid
391	!-- everywhere. For the actual grid, the grid spacing at the lowest level
392	!-- is only dz/2, but should be dz. Therefore, an additional array
393	!-- containing with appropriate grid information is created for these
394	!-- solvers.
395	IF ( psolver(1:9) /= 'multigrid' ) THEN
396	ALLOCATE( ddzu_pres(1:nzt+1) )
397	ddzu_pres = ddzu
398	ddzu_pres(1) = ddzu_pres(2) ! change for lowest level
399	ENDIF
400
401	!
402	!-- In case of multigrid method, compute grid lengths and grid factors for the
403	!-- grid levels
404	IF ( psolver(1:9) == 'multigrid' ) THEN
405
406	ALLOCATE( ddx2_mg(maximum_grid_level), ddy2_mg(maximum_grid_level), &
407	dzu_mg(nzb+1:nzt+1,maximum_grid_level), &
408	dzw_mg(nzb+1:nzt+1,maximum_grid_level), &
409	f1_mg(nzb+1:nzt,maximum_grid_level), &
410	f2_mg(nzb+1:nzt,maximum_grid_level), &
411	f3_mg(nzb+1:nzt,maximum_grid_level) )
412
413	dzu_mg(:,maximum_grid_level) = dzu
414	!
415	!-- Next line to ensure an equally spaced grid.
416	dzu_mg(1,maximum_grid_level) = dzu(2)
417
418	dzw_mg(:,maximum_grid_level) = dzw
419	nzt_l = nzt
420	DO l = maximum_grid_level-1, 1, -1
421	dzu_mg(nzb+1,l) = 2.0_wp * dzu_mg(nzb+1,l+1)
422	dzw_mg(nzb+1,l) = 2.0_wp * dzw_mg(nzb+1,l+1)
423	nzt_l = nzt_l / 2
424	DO k = 2, nzt_l+1
425	dzu_mg(k,l) = dzu_mg(2k-2,l+1) + dzu_mg(2k-1,l+1)
426	dzw_mg(k,l) = dzw_mg(2k-2,l+1) + dzw_mg(2k-1,l+1)
427	ENDDO
428	ENDDO
429
430	nzt_l = nzt
431	dx_l = dx
432	dy_l = dy
433	DO l = maximum_grid_level, 1, -1
434	ddx2_mg(l) = 1.0_wp / dx_l**2
435	ddy2_mg(l) = 1.0_wp / dy_l**2
436	DO k = nzb+1, nzt_l
437	f2_mg(k,l) = 1.0_wp / ( dzu_mg(k+1,l) * dzw_mg(k,l) )
438	f3_mg(k,l) = 1.0_wp / ( dzu_mg(k,l) * dzw_mg(k,l) )
439	f1_mg(k,l) = 2.0_wp * ( ddx2_mg(l) + ddy2_mg(l) ) + &
440	f2_mg(k,l) + f3_mg(k,l)
441	ENDDO
442	nzt_l = nzt_l / 2
443	dx_l = dx_l * 2.0_wp
444	dy_l = dy_l * 2.0_wp
445	ENDDO
446
447	ENDIF
448
449	!
450	!-- Compute the reciprocal values of the horizontal grid lengths.
451	ddx = 1.0_wp / dx
452	ddy = 1.0_wp / dy
453	dx2 = dx * dx
454	dy2 = dy * dy
455	ddx2 = 1.0_wp / dx2
456	ddy2 = 1.0_wp / dy2
457
458	!
459	!-- Compute the grid-dependent mixing length.
460	DO k = 1, nzt
461	l_grid(k) = ( dx * dy * dzw(k) )**0.33333333333333_wp
462	ENDDO
463
464	!
465	!-- Allocate outer and inner index arrays for topography and set
466	!-- defaults.
467	!-- nzb_local has to contain additional layers of ghost points for calculating
468	!-- the flag arrays needed for the multigrid method
469	gls = 2**( maximum_grid_level )
470	IF ( gls < nbgp ) gls = nbgp
471
472	ALLOCATE( corner_nl(nys:nyn,nxl:nxr), corner_nr(nys:nyn,nxl:nxr), &
473	corner_sl(nys:nyn,nxl:nxr), corner_sr(nys:nyn,nxl:nxr), &
474	nzb_local(-gls:ny+gls,-gls:nx+gls), &
475	nzb_tmp(-nbgp:ny+nbgp,-nbgp:nx+nbgp), &
476	wall_l(nys:nyn,nxl:nxr), wall_n(nys:nyn,nxl:nxr), &
477	wall_r(nys:nyn,nxl:nxr), wall_s(nys:nyn,nxl:nxr) )
478	ALLOCATE( fwxm(nysg:nyng,nxlg:nxrg), fwxp(nysg:nyng,nxlg:nxrg), &
479	fwym(nysg:nyng,nxlg:nxrg), fwyp(nysg:nyng,nxlg:nxrg), &
480	fxm(nysg:nyng,nxlg:nxrg), fxp(nysg:nyng,nxlg:nxrg), &
481	fym(nysg:nyng,nxlg:nxrg), fyp(nysg:nyng,nxlg:nxrg), &
482	nzb_s_inner(nysg:nyng,nxlg:nxrg), &
483	nzb_s_outer(nysg:nyng,nxlg:nxrg), &
484	nzb_u_inner(nysg:nyng,nxlg:nxrg), &
485	nzb_u_outer(nysg:nyng,nxlg:nxrg), &
486	nzb_v_inner(nysg:nyng,nxlg:nxrg), &
487	nzb_v_outer(nysg:nyng,nxlg:nxrg), &
488	nzb_w_inner(nysg:nyng,nxlg:nxrg), &
489	nzb_w_outer(nysg:nyng,nxlg:nxrg), &
490	nzb_diff_s_inner(nysg:nyng,nxlg:nxrg), &
491	nzb_diff_s_outer(nysg:nyng,nxlg:nxrg), &
492	nzb_diff_u(nysg:nyng,nxlg:nxrg), &
493	nzb_diff_v(nysg:nyng,nxlg:nxrg), &
494	rflags_s_inner(nzb:nzt+2,nysg:nyng,nxlg:nxrg), &
495	rflags_invers(nysg:nyng,nxlg:nxrg,nzb:nzt+2), &
496	wall_e_x(nysg:nyng,nxlg:nxrg), &
497	wall_e_y(nysg:nyng,nxlg:nxrg), &
498	wall_u(nysg:nyng,nxlg:nxrg), &
499	wall_v(nysg:nyng,nxlg:nxrg), &
500	wall_w_x(nysg:nyng,nxlg:nxrg), &
501	wall_w_y(nysg:nyng,nxlg:nxrg) )
502
503
504
505	ALLOCATE( l_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
506
507
508	nzb_s_inner = nzb; nzb_s_outer = nzb
509	nzb_u_inner = nzb; nzb_u_outer = nzb
510	nzb_v_inner = nzb; nzb_v_outer = nzb
511	nzb_w_inner = nzb; nzb_w_outer = nzb
512
513	rflags_s_inner = 1.0_wp
514	rflags_invers = 1.0_wp
515
516	!
517	!-- Define vertical gridpoint from (or to) which on the usual finite difference
518	!-- form (which does not use surface fluxes) is applied
519	IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN
520	nzb_diff = nzb + 2
521	ELSE
522	nzb_diff = nzb + 1
523	ENDIF
524	IF ( use_top_fluxes ) THEN
525	nzt_diff = nzt - 1
526	ELSE
527	nzt_diff = nzt
528	ENDIF
529
530	nzb_diff_s_inner = nzb_diff; nzb_diff_s_outer = nzb_diff
531	nzb_diff_u = nzb_diff; nzb_diff_v = nzb_diff
532
533	wall_e_x = 0.0_wp; wall_e_y = 0.0_wp; wall_u = 0.0_wp; wall_v = 0.0_wp
534	wall_w_x = 0.0_wp; wall_w_y = 0.0_wp
535	fwxp = 1.0_wp; fwxm = 1.0_wp; fwyp = 1.0_wp; fwym = 1.0_wp
536	fxp = 1.0_wp; fxm = 1.0_wp; fyp = 1.0_wp; fym = 1.0_wp
537
538	!
539	!-- Initialize near-wall mixing length l_wall only in the vertical direction
540	!-- for the moment,
541	!-- multiplication with wall_adjustment_factor near the end of this routine
542	l_wall(nzb,:,:) = l_grid(1)
543	DO k = nzb+1, nzt
544	l_wall(k,:,:) = l_grid(k)
545	ENDDO
546	l_wall(nzt+1,:,:) = l_grid(nzt)
547
548	ALLOCATE ( vertical_influence(nzb:nzt) )
549	DO k = 1, nzt
550	vertical_influence(k) = MIN ( INT( l_grid(k) / &
551	( wall_adjustment_factor * dzw(k) ) + 0.5_wp ), nzt - k )
552	ENDDO
553
554	DO k = 1, MAXVAL( nzb_s_inner )
555	IF ( l_grid(k) > 1.5_wp * dx * wall_adjustment_factor .OR. &
556	l_grid(k) > 1.5_wp * dy * wall_adjustment_factor ) THEN
557	WRITE( message_string, * ) 'grid anisotropy exceeds ', &
558	'threshold given by only local', &
559	' &horizontal reduction of near_wall ', &
560	'mixing length l_wall', &
561	' &starting from height level k = ', k, '.'
562	CALL message( 'init_grid', 'PA0202', 0, 1, 0, 6, 0 )
563	EXIT
564	ENDIF
565	ENDDO
566	vertical_influence(0) = vertical_influence(1)
567
568	DO i = nxlg, nxrg
569	DO j = nysg, nyng
570	DO k = nzb_s_inner(j,i) + 1, &
571	nzb_s_inner(j,i) + vertical_influence(nzb_s_inner(j,i))
572	l_wall(k,j,i) = zu(k) - zw(nzb_s_inner(j,i))
573	ENDDO
574	ENDDO
575	ENDDO
576
577	!
578	!-- Set outer and inner index arrays for non-flat topography.
579	!-- Here consistency checks concerning domain size and periodicity are
580	!-- necessary.
581	!-- Within this SELECT CASE structure only nzb_local is initialized
582	!-- individually depending on the chosen topography type, all other index
583	!-- arrays are initialized further below.
584	SELECT CASE ( TRIM( topography ) )
585
586	CASE ( 'flat' )
587	!
588	!-- nzb_local is required for the multigrid solver
589	nzb_local = 0
590
591	CASE ( 'single_building' )
592	!
593	!-- Single rectangular building, by default centered in the middle of the
594	!-- total domain
595	blx = NINT( building_length_x / dx )
596	bly = NINT( building_length_y / dy )
597	bh = MINLOC( ABS( zw - building_height ), 1 ) - 1
598	IF ( ABS( zw(bh ) - building_height ) == &
599	ABS( zw(bh+1) - building_height ) ) bh = bh + 1
600
601	IF ( building_wall_left == 9999999.9_wp ) THEN
602	building_wall_left = ( nx + 1 - blx ) / 2 * dx
603	ENDIF
604	bxl = NINT( building_wall_left / dx )
605	bxr = bxl + blx
606
607	IF ( building_wall_south == 9999999.9_wp ) THEN
608	building_wall_south = ( ny + 1 - bly ) / 2 * dy
609	ENDIF
610	bys = NINT( building_wall_south / dy )
611	byn = bys + bly
612
613	!
614	!-- Building size has to meet some requirements
615	IF ( ( bxl < 1 ) .OR. ( bxr > nx-1 ) .OR. ( bxr < bxl+3 ) .OR. &
616	( bys < 1 ) .OR. ( byn > ny-1 ) .OR. ( byn < bys+3 ) ) THEN
617	WRITE( message_string, * ) 'inconsistent building parameters:', &
618	'& bxl=', bxl, 'bxr=', bxr, 'bys=', bys, &
619	'byn=', byn, 'nx=', nx, 'ny=', ny
620	CALL message( 'init_grid', 'PA0203', 1, 2, 0, 6, 0 )
621	ENDIF
622
623	!
624	!-- Define the building.
625	nzb_local = 0
626	nzb_local(bys:byn,bxl:bxr) = bh
627
628	CASE ( 'single_street_canyon' )
629	!
630	!-- Single quasi-2D street canyon of infinite length in x or y direction.
631	!-- The canyon is centered in the other direction by default.
632	IF ( canyon_width_x /= 9999999.9_wp ) THEN
633	!
634	!-- Street canyon in y direction
635	cwx = NINT( canyon_width_x / dx )
636	IF ( canyon_wall_left == 9999999.9_wp ) THEN
637	canyon_wall_left = ( nx + 1 - cwx ) / 2 * dx
638	ENDIF
639	cxl = NINT( canyon_wall_left / dx )
640	cxr = cxl + cwx
641
642	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
643	!
644	!-- Street canyon in x direction
645	cwy = NINT( canyon_width_y / dy )
646	IF ( canyon_wall_south == 9999999.9_wp ) THEN
647	canyon_wall_south = ( ny + 1 - cwy ) / 2 * dy
648	ENDIF
649	cys = NINT( canyon_wall_south / dy )
650	cyn = cys + cwy
651
652	ELSE
653
654	message_string = 'no street canyon width given'
655	CALL message( 'init_grid', 'PA0204', 1, 2, 0, 6, 0 )
656
657	ENDIF
658
659	ch = MINLOC( ABS( zw - canyon_height ), 1 ) - 1
660	IF ( ABS( zw(ch ) - canyon_height ) == &
661	ABS( zw(ch+1) - canyon_height ) ) ch = ch + 1
662
663	dp_level_ind_b = ch
664	!
665	!-- Street canyon size has to meet some requirements
666	IF ( canyon_width_x /= 9999999.9_wp ) THEN
667	IF ( ( cxl < 1 ) .OR. ( cxr > nx-1 ) .OR. ( cwx < 3 ) .OR. &
668	( ch < 3 ) ) THEN
669	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
670	'&cxl=', cxl, 'cxr=', cxr, &
671	'cwx=', cwx, &
672	'ch=', ch, 'nx=', nx, 'ny=', ny
673	CALL message( 'init_grid', 'PA0205', 1, 2, 0, 6, 0 )
674	ENDIF
675	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
676	IF ( ( cys < 1 ) .OR. ( cyn > ny-1 ) .OR. ( cwy < 3 ) .OR. &
677	( ch < 3 ) ) THEN
678	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
679	'&cys=', cys, 'cyn=', cyn, &
680	'cwy=', cwy, &
681	'ch=', ch, 'nx=', nx, 'ny=', ny
682	CALL message( 'init_grid', 'PA0206', 1, 2, 0, 6, 0 )
683	ENDIF
684	ENDIF
685	IF ( canyon_width_x /= 9999999.9_wp .AND. &
686	canyon_width_y /= 9999999.9_wp ) THEN
687	message_string = 'inconsistent canyon parameters:' // &
688	'&street canyon can only be oriented' // &
689	'&either in x- or in y-direction'
690	CALL message( 'init_grid', 'PA0207', 1, 2, 0, 6, 0 )
691	ENDIF
692
693	nzb_local = ch
694	IF ( canyon_width_x /= 9999999.9_wp ) THEN
695	nzb_local(:,cxl+1:cxr-1) = 0
696	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
697	nzb_local(cys+1:cyn-1,:) = 0
698	ENDIF
699
700	CASE ( 'read_from_file' )
701
702	ALLOCATE ( topo_height(0:ny,0:nx) )
703
704	DO ii = 0, io_blocks-1
705	IF ( ii == io_group ) THEN
706
707	!
708	!-- Arbitrary irregular topography data in PALM format (exactly
709	!-- matching the grid size and total domain size)
710	OPEN( 90, FILE='TOPOGRAPHY_DATA'//TRIM( coupling_char ), &
711	STATUS='OLD', FORM='FORMATTED', ERR=10 )
712	DO j = ny, 0, -1
713	READ( 90, *, ERR=11, END=11 ) ( topo_height(j,i), i = 0,nx )
714	ENDDO
715
716	GOTO 12
717
718	10 message_string = 'file TOPOGRAPHY'//TRIM( coupling_char )// &
719	' does not exist'
720	CALL message( 'init_grid', 'PA0208', 1, 2, 0, 6, 0 )
721
722	11 message_string = 'errors in file TOPOGRAPHY_DATA'// &
723	TRIM( coupling_char )
724	CALL message( 'init_grid', 'PA0209', 1, 2, 0, 6, 0 )
725
726	12 CLOSE( 90 )
727
728	ENDIF
729	#if defined( __parallel )
730	CALL MPI_BARRIER( comm2d, ierr )
731	#endif
732	ENDDO
733
734	!
735	!-- Calculate the index height of the topography
736	DO i = 0, nx
737	DO j = 0, ny
738	nzb_local(j,i) = MINLOC( ABS( zw - topo_height(j,i) ), 1 ) - 1
739	IF ( ABS( zw(nzb_local(j,i) ) - topo_height(j,i) ) == &
740	ABS( zw(nzb_local(j,i)+1) - topo_height(j,i) ) ) &
741	nzb_local(j,i) = nzb_local(j,i) + 1
742	ENDDO
743	ENDDO
744
745	DEALLOCATE ( topo_height )
746
747	!
748	!-- Add cyclic or Neumann boundary conditions (additional layers are for
749	!-- calculating flag arrays needed for the multigrid sover)
750	IF ( bc_ns_cyc ) THEN
751	nzb_local(-gls:-1,0:nx) = nzb_local(ny-gls+1:ny,0:nx)
752	nzb_local(ny+1:ny+gls,0:nx) = nzb_local(0:gls-1,0:nx)
753	ELSE
754	DO j = -gls, -1
755	nzb_local(j,0:nx) = nzb_local(0,0:nx)
756	ENDDO
757	DO j = ny+1, ny+gls
758	nzb_local(j,0:nx) = nzb_local(ny,0:nx)
759	ENDDO
760	ENDIF
761
762	IF ( bc_lr_cyc ) THEN
763	nzb_local(:,-gls:-1) = nzb_local(:,nx-gls+1:nx)
764	nzb_local(:,nx+1:nx+gls) = nzb_local(:,0:gls-1)
765	ELSE
766	DO i = -gls, -1
767	nzb_local(:,i) = nzb_local(:,0)
768	ENDDO
769	DO i = nx+1, nx+gls
770	nzb_local(:,i) = nzb_local(:,nx)
771	ENDDO
772	ENDIF
773
774	CASE DEFAULT
775	!
776	!-- The DEFAULT case is reached either if the parameter topography
777	!-- contains a wrong character string or if the user has defined a special
778	!-- case in the user interface. There, the subroutine user_init_grid
779	!-- checks which of these two conditions applies.
780	CALL user_init_grid( gls, nzb_local )
781
782	END SELECT
783	!
784	!-- Determine the maximum level of topography. Furthermore it is used for
785	!-- steering the degradation of order of the applied advection scheme.
786	!-- In case of non-cyclic lateral boundaries, the order of the advection
787	!-- scheme have to be reduced up to nzt (required at the lateral boundaries).
788	nzb_max = MAXVAL( nzb_local ) + 1
789	IF ( inflow_l .OR. outflow_l .OR. inflow_r .OR. outflow_r .OR. &
790	inflow_n .OR. outflow_n .OR. inflow_s .OR. outflow_s .OR. &
791	nest_domain ) &
792	THEN
793	nzb_max = nzt
794	ENDIF
795
796	!
797	!-- Consistency checks and index array initialization are only required for
798	!-- non-flat topography, also the initialization of topography height arrays
799	!-- zu_s_inner and zw_w_inner
800	IF ( TRIM( topography ) /= 'flat' ) THEN
801
802	!
803	!-- Consistency checks
804	IF ( MINVAL( nzb_local ) < 0 .OR. MAXVAL( nzb_local ) > nz + 1 ) THEN
805	WRITE( message_string, * ) 'nzb_local values are outside the', &
806	'model domain', &
807	'&MINVAL( nzb_local ) = ', MINVAL(nzb_local), &
808	'&MAXVAL( nzb_local ) = ', MAXVAL(nzb_local)
809	CALL message( 'init_grid', 'PA0210', 1, 2, 0, 6, 0 )
810	ENDIF
811
812	IF ( bc_lr_cyc ) THEN
813	IF ( ANY( nzb_local(:,-1) /= nzb_local(:,nx) ) .OR. &
814	ANY( nzb_local(:,0) /= nzb_local(:,nx+1) ) ) THEN
815	message_string = 'nzb_local does not fulfill cyclic' // &
816	' boundary condition in x-direction'
817	CALL message( 'init_grid', 'PA0211', 1, 2, 0, 6, 0 )
818	ENDIF
819	ENDIF
820	IF ( bc_ns_cyc ) THEN
821	IF ( ANY( nzb_local(-1,:) /= nzb_local(ny,:) ) .OR. &
822	ANY( nzb_local(0,:) /= nzb_local(ny+1,:) ) ) THEN
823	message_string = 'nzb_local does not fulfill cyclic' // &
824	' boundary condition in y-direction'
825	CALL message( 'init_grid', 'PA0212', 1, 2, 0, 6, 0 )
826	ENDIF
827	ENDIF
828
829	IF ( topography_grid_convention == 'cell_edge' ) THEN
830	!
831	!-- The array nzb_local as defined using the 'cell_edge' convention
832	!-- describes the actual total size of topography which is defined at the
833	!-- cell edges where u=0 on the topography walls in x-direction and v=0
834	!-- on the topography walls in y-direction. However, PALM uses individual
835	!-- arrays nzb_u\|v\|w\|s_inner\|outer that are based on nzb_s_inner.
836	!-- Therefore, the extent of topography in nzb_local is now reduced by
837	!-- 1dx at the E topography walls and by 1dy at the N topography walls
838	!-- to form the basis for nzb_s_inner.
839	DO j = -gls, ny + gls
840	DO i = -gls, nx
841	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j,i+1) )
842	ENDDO
843	ENDDO
844	!-- apply cyclic boundary conditions in x-direction
845	!(ist das erforderlich? Ursache von Seung Bus Fehler?)
846	nzb_local(:,nx+1:nx+gls) = nzb_local(:,0:gls-1)
847	DO i = -gls, nx + gls
848	DO j = -gls, ny
849	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j+1,i) )
850	ENDDO
851	ENDDO
852	!-- apply cyclic boundary conditions in y-direction
853	!(ist das erforderlich? Ursache von Seung Bus Fehler?)
854	nzb_local(ny+1:ny+gls,:) = nzb_local(0:gls-1,:)
855	ENDIF
856
857	!
858	!-- Initialize index arrays nzb_s_inner and nzb_w_inner
859	nzb_s_inner = nzb_local(nysg:nyng,nxlg:nxrg)
860	nzb_w_inner = nzb_local(nysg:nyng,nxlg:nxrg)
861
862	!
863	!-- Initialize remaining index arrays:
864	!-- first pre-initialize them with nzb_s_inner...
865	nzb_u_inner = nzb_s_inner
866	nzb_u_outer = nzb_s_inner
867	nzb_v_inner = nzb_s_inner
868	nzb_v_outer = nzb_s_inner
869	nzb_w_outer = nzb_s_inner
870	nzb_s_outer = nzb_s_inner
871
872	!
873	!-- ...then extend pre-initialized arrays in their according directions
874	!-- based on nzb_local using nzb_tmp as a temporary global index array
875
876	!
877	!-- nzb_s_outer:
878	!-- extend nzb_local east-/westwards first, then north-/southwards
879	nzb_tmp = nzb_local(-nbgp:ny+nbgp,-nbgp:nx+nbgp)
880	DO j = -1, ny + 1
881	DO i = 0, nx
882	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i), &
883	nzb_local(j,i+1) )
884	ENDDO
885	ENDDO
886	DO i = nxl, nxr
887	DO j = nys, nyn
888	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
889	nzb_tmp(j+1,i) )
890	ENDDO
891	!
892	!-- non-cyclic boundary conditions (overwritten by call of
893	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
894	IF ( nys == 0 ) THEN
895	j = -1
896	nzb_s_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
897	ENDIF
898	IF ( nyn == ny ) THEN
899	j = ny + 1
900	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
901	ENDIF
902	ENDDO
903	!
904	!-- nzb_w_outer:
905	!-- identical to nzb_s_outer
906	nzb_w_outer = nzb_s_outer
907
908	!
909	!-- nzb_u_inner:
910	!-- extend nzb_local rightwards only
911	nzb_tmp = nzb_local(-nbgp:ny+nbgp,-nbgp:nx+nbgp)
912	DO j = -1, ny + 1
913	DO i = 0, nx + 1
914	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i) )
915	ENDDO
916	ENDDO
917	nzb_u_inner = nzb_tmp(nysg:nyng,nxlg:nxrg)
918
919	!
920	!-- nzb_u_outer:
921	!-- extend current nzb_tmp (nzb_u_inner) north-/southwards
922	DO i = nxl, nxr
923	DO j = nys, nyn
924	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
925	nzb_tmp(j+1,i) )
926	ENDDO
927	!
928	!-- non-cyclic boundary conditions (overwritten by call of
929	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
930	IF ( nys == 0 ) THEN
931	j = -1
932	nzb_u_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
933	ENDIF
934	IF ( nyn == ny ) THEN
935	j = ny + 1
936	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
937	ENDIF
938	ENDDO
939
940	!
941	!-- nzb_v_inner:
942	!-- extend nzb_local northwards only
943	nzb_tmp = nzb_local(-nbgp:ny+nbgp,-nbgp:nx+nbgp)
944	DO i = -1, nx + 1
945	DO j = 0, ny + 1
946	nzb_tmp(j,i) = MAX( nzb_local(j-1,i), nzb_local(j,i) )
947	ENDDO
948	ENDDO
949	nzb_v_inner = nzb_tmp(nysg:nyng,nxlg:nxrg)
950
951	!
952	!-- nzb_v_outer:
953	!-- extend current nzb_tmp (nzb_v_inner) right-/leftwards
954	DO j = nys, nyn
955	DO i = nxl, nxr
956	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i), &
957	nzb_tmp(j,i+1) )
958	ENDDO
959	!
960	!-- non-cyclic boundary conditions (overwritten by call of
961	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
962	IF ( nxl == 0 ) THEN
963	i = -1
964	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i+1), nzb_tmp(j,i) )
965	ENDIF
966	IF ( nxr == nx ) THEN
967	i = nx + 1
968	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i) )
969	ENDIF
970	ENDDO
971
972	!
973	!-- Exchange of lateral boundary values (parallel computers) and cyclic
974	!-- boundary conditions, if applicable.
975	!-- Since nzb_s_inner and nzb_w_inner are derived directly from nzb_local
976	!-- they do not require exchange and are not included here.
977	CALL exchange_horiz_2d_int( nzb_u_inner )
978	CALL exchange_horiz_2d_int( nzb_u_outer )
979	CALL exchange_horiz_2d_int( nzb_v_inner )
980	CALL exchange_horiz_2d_int( nzb_v_outer )
981	CALL exchange_horiz_2d_int( nzb_w_outer )
982	CALL exchange_horiz_2d_int( nzb_s_outer )
983
984	!
985	!-- Allocate and set the arrays containing the topography height
986	IF ( myid == 0 ) THEN
987
988	ALLOCATE( zu_s_inner(0:nx+1,0:ny+1), zw_w_inner(0:nx+1,0:ny+1) )
989
990	DO i = 0, nx + 1
991	DO j = 0, ny + 1
992	zu_s_inner(i,j) = zu(nzb_local(j,i))
993	zw_w_inner(i,j) = zw(nzb_local(j,i))
994	ENDDO
995	ENDDO
996
997	ENDIF
998	!
999	!-- Set flag arrays to be used for masking of grid points
1000	DO i = nxlg, nxrg
1001	DO j = nysg, nyng
1002	DO k = nzb, nzt+1
1003	IF ( k <= nzb_s_inner(j,i) ) rflags_s_inner(k,j,i) = 0.0_wp
1004	IF ( k <= nzb_s_inner(j,i) ) rflags_invers(j,i,k) = 0.0_wp
1005	ENDDO
1006	ENDDO
1007	ENDDO
1008
1009	ENDIF
1010
1011	!
1012	!-- Set the individual index arrays which define the k index from which on
1013	!-- the usual finite difference form (which does not use surface fluxes) is
1014	!-- applied
1015	IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN
1016	nzb_diff_u = nzb_u_inner + 2
1017	nzb_diff_v = nzb_v_inner + 2
1018	nzb_diff_s_inner = nzb_s_inner + 2
1019	nzb_diff_s_outer = nzb_s_outer + 2
1020	ELSE
1021	nzb_diff_u = nzb_u_inner + 1
1022	nzb_diff_v = nzb_v_inner + 1
1023	nzb_diff_s_inner = nzb_s_inner + 1
1024	nzb_diff_s_outer = nzb_s_outer + 1
1025	ENDIF
1026
1027	!
1028	!-- Calculation of wall switches and factors required by diffusion_u/v.f90 and
1029	!-- for limitation of near-wall mixing length l_wall further below
1030	corner_nl = 0
1031	corner_nr = 0
1032	corner_sl = 0
1033	corner_sr = 0
1034	wall_l = 0
1035	wall_n = 0
1036	wall_r = 0
1037	wall_s = 0
1038
1039	DO i = nxl, nxr
1040	DO j = nys, nyn
1041	!
1042	!-- u-component
1043	IF ( nzb_u_outer(j,i) > nzb_u_outer(j+1,i) ) THEN
1044	wall_u(j,i) = 1.0_wp ! north wall (location of adjacent fluid)
1045	fym(j,i) = 0.0_wp
1046	fyp(j,i) = 1.0_wp
1047	ELSEIF ( nzb_u_outer(j,i) > nzb_u_outer(j-1,i) ) THEN
1048	wall_u(j,i) = 1.0_wp ! south wall (location of adjacent fluid)
1049	fym(j,i) = 1.0_wp
1050	fyp(j,i) = 0.0_wp
1051	ENDIF
1052	!
1053	!-- v-component
1054	IF ( nzb_v_outer(j,i) > nzb_v_outer(j,i+1) ) THEN
1055	wall_v(j,i) = 1.0_wp ! rigth wall (location of adjacent fluid)
1056	fxm(j,i) = 0.0_wp
1057	fxp(j,i) = 1.0_wp
1058	ELSEIF ( nzb_v_outer(j,i) > nzb_v_outer(j,i-1) ) THEN
1059	wall_v(j,i) = 1.0_wp ! left wall (location of adjacent fluid)
1060	fxm(j,i) = 1.0_wp
1061	fxp(j,i) = 0.0_wp
1062	ENDIF
1063	!
1064	!-- w-component, also used for scalars, separate arrays for shear
1065	!-- production of tke
1066	IF ( nzb_w_outer(j,i) > nzb_w_outer(j+1,i) ) THEN
1067	wall_e_y(j,i) = 1.0_wp ! north wall (location of adjacent fluid)
1068	wall_w_y(j,i) = 1.0_wp
1069	fwym(j,i) = 0.0_wp
1070	fwyp(j,i) = 1.0_wp
1071	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j-1,i) ) THEN
1072	wall_e_y(j,i) = -1.0_wp ! south wall (location of adjacent fluid)
1073	wall_w_y(j,i) = 1.0_wp
1074	fwym(j,i) = 1.0_wp
1075	fwyp(j,i) = 0.0_wp
1076	ENDIF
1077	IF ( nzb_w_outer(j,i) > nzb_w_outer(j,i+1) ) THEN
1078	wall_e_x(j,i) = 1.0_wp ! right wall (location of adjacent fluid)
1079	wall_w_x(j,i) = 1.0_wp
1080	fwxm(j,i) = 0.0_wp
1081	fwxp(j,i) = 1.0_wp
1082	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j,i-1) ) THEN
1083	wall_e_x(j,i) = -1.0_wp ! left wall (location of adjacent fluid)
1084	wall_w_x(j,i) = 1.0_wp
1085	fwxm(j,i) = 1.0_wp
1086	fwxp(j,i) = 0.0_wp
1087	ENDIF
1088	!
1089	!-- Wall and corner locations inside buildings for limitation of
1090	!-- near-wall mixing length l_wall
1091	IF ( nzb_s_inner(j,i) > nzb_s_inner(j+1,i) ) THEN
1092
1093	wall_n(j,i) = nzb_s_inner(j+1,i) + 1 ! North wall
1094
1095	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
1096	corner_nl(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northleft corner
1097	nzb_s_inner(j,i-1) ) + 1
1098	ENDIF
1099
1100	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
1101	corner_nr(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northright corner
1102	nzb_s_inner(j,i+1) ) + 1
1103	ENDIF
1104
1105	ENDIF
1106
1107	IF ( nzb_s_inner(j,i) > nzb_s_inner(j-1,i) ) THEN
1108
1109	wall_s(j,i) = nzb_s_inner(j-1,i) + 1 ! South wall
1110	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
1111	corner_sl(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southleft corner
1112	nzb_s_inner(j,i-1) ) + 1
1113	ENDIF
1114
1115	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
1116	corner_sr(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southright corner
1117	nzb_s_inner(j,i+1) ) + 1
1118	ENDIF
1119
1120	ENDIF
1121
1122	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
1123	wall_l(j,i) = nzb_s_inner(j,i-1) + 1 ! Left wall
1124	ENDIF
1125
1126	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
1127	wall_r(j,i) = nzb_s_inner(j,i+1) + 1 ! Right wall
1128	ENDIF
1129
1130	ENDDO
1131	ENDDO
1132
1133	!
1134	!-- Calculate wall flag arrays for the multigrid method.
1135	!-- Please note, wall flags are only applied in the not cache-optimized
1136	!-- version.
1137	IF ( psolver == 'multigrid_noopt' ) THEN
1138	!
1139	!-- Gridpoint increment of the current level
1140	inc = 1
1141
1142	DO l = maximum_grid_level, 1 , -1
1143
1144	nxl_l = nxl_mg(l)
1145	nxr_l = nxr_mg(l)
1146	nys_l = nys_mg(l)
1147	nyn_l = nyn_mg(l)
1148	nzt_l = nzt_mg(l)
1149
1150	!
1151	!-- Assign the flag level to be calculated
1152	SELECT CASE ( l )
1153	CASE ( 1 )
1154	flags => wall_flags_1
1155	CASE ( 2 )
1156	flags => wall_flags_2
1157	CASE ( 3 )
1158	flags => wall_flags_3
1159	CASE ( 4 )
1160	flags => wall_flags_4
1161	CASE ( 5 )
1162	flags => wall_flags_5
1163	CASE ( 6 )
1164	flags => wall_flags_6
1165	CASE ( 7 )
1166	flags => wall_flags_7
1167	CASE ( 8 )
1168	flags => wall_flags_8
1169	CASE ( 9 )
1170	flags => wall_flags_9
1171	CASE ( 10 )
1172	flags => wall_flags_10
1173	END SELECT
1174
1175	!
1176	!-- Depending on the grid level, set the respective bits in case of
1177	!-- neighbouring walls
1178	!-- Bit 0: wall to the bottom
1179	!-- Bit 1: wall to the top (not realized in remaining PALM code so far)
1180	!-- Bit 2: wall to the south
1181	!-- Bit 3: wall to the north
1182	!-- Bit 4: wall to the left
1183	!-- Bit 5: wall to the right
1184	!-- Bit 6: inside building
1185
1186	flags = 0
1187
1188	!
1189	!-- In case of masking method, flags are not set and multigrid method
1190	!-- works like FFT-solver
1191	IF ( .NOT. masking_method ) THEN
1192
1193	DO i = nxl_l-1, nxr_l+1
1194	DO j = nys_l-1, nyn_l+1
1195	DO k = nzb, nzt_l+1
1196
1197	!
1198	!-- Inside/outside building (inside building does not need
1199	!-- further tests for walls)
1200	IF ( kinc <= nzb_local(jinc,i*inc) ) THEN
1201
1202	flags(k,j,i) = IBSET( flags(k,j,i), 6 )
1203
1204	ELSE
1205	!
1206	!-- Bottom wall
1207	IF ( (k-1)inc <= nzb_local(jinc,i*inc) ) THEN
1208	flags(k,j,i) = IBSET( flags(k,j,i), 0 )
1209	ENDIF
1210	!
1211	!-- South wall
1212	IF ( kinc <= nzb_local((j-1)inc,i*inc) ) THEN
1213	flags(k,j,i) = IBSET( flags(k,j,i), 2 )
1214	ENDIF
1215	!
1216	!-- North wall
1217	IF ( kinc <= nzb_local((j+1)inc,i*inc) ) THEN
1218	flags(k,j,i) = IBSET( flags(k,j,i), 3 )
1219	ENDIF
1220	!
1221	!-- Left wall
1222	IF ( kinc <= nzb_local(jinc,(i-1)*inc) ) THEN
1223	flags(k,j,i) = IBSET( flags(k,j,i), 4 )
1224	ENDIF
1225	!
1226	!-- Right wall
1227	IF ( kinc <= nzb_local(jinc,(i+1)*inc) ) THEN
1228	flags(k,j,i) = IBSET( flags(k,j,i), 5 )
1229	ENDIF
1230
1231	ENDIF
1232
1233	ENDDO
1234	ENDDO
1235	ENDDO
1236
1237	ENDIF
1238
1239	!
1240	!-- Test output of flag arrays
1241	! i = nxl_l
1242	! WRITE (9,*) ' '
1243	! WRITE (9,) ' mg level ', l, ' *', mg_switch_to_pe0_level
1244	! WRITE (9,*) ' inc=', inc, ' i =', nxl_l
1245	! WRITE (9,*) ' nxl_l',nxl_l,' nxr_l=',nxr_l,' nys_l=',nys_l,' nyn_l=',nyn_l
1246	! DO k = nzt_l+1, nzb, -1
1247	! WRITE (9,'(194(1X,I2))') ( flags(k,j,i), j = nys_l-1, nyn_l+1 )
1248	! ENDDO
1249
1250	inc = inc * 2
1251
1252	ENDDO
1253
1254	ENDIF
1255	!
1256	!-- Allocate flags needed for masking walls.
1257	ALLOCATE( wall_flags_0(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
1258	wall_flags_00(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
1259	wall_flags_0 = 0
1260	wall_flags_00 = 0
1261
1262	IF ( scalar_advec == 'ws-scheme' .OR. &
1263	scalar_advec == 'ws-scheme-mono' ) THEN
1264	!
1265	!-- Set flags to steer the degradation of the advection scheme in advec_ws
1266	!-- near topography, inflow- and outflow boundaries as well as bottom and
1267	!-- top of model domain. wall_flags_0 remains zero for all non-prognostic
1268	!-- grid points.
1269	DO i = nxl, nxr
1270	DO j = nys, nyn
1271	DO k = nzb_s_inner(j,i)+1, nzt
1272	!
1273	!-- scalar - x-direction
1274	!-- WS1 (0), WS3 (1), WS5 (2)
1275	IF ( ( k <= nzb_s_inner(j,i+1) .OR. k <= nzb_s_inner(j,i+2) &
1276	.OR. k <= nzb_s_inner(j,i-1) ) &
1277	.OR. ( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) &
1278	.AND. i == nxl ) .OR. &
1279	( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) &
1280	.AND. i == nxr ) ) &
1281	THEN
1282	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 0 )
1283	ELSEIF ( ( k <= nzb_s_inner(j,i+3) .AND. k > nzb_s_inner(j,i+1)&
1284	.AND. k > nzb_s_inner(j,i+2)&
1285	.AND. k > nzb_s_inner(j,i-1)&
1286	) .OR. &
1287	( k <= nzb_s_inner(j,i-2) .AND. k > nzb_s_inner(j,i+1)&
1288	.AND. k > nzb_s_inner(j,i+2)&
1289	.AND. k > nzb_s_inner(j,i-1)&
1290	) &
1291	.OR. &
1292	( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) &
1293	.AND. i == nxr-1 ) .OR. &
1294	( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) &
1295	.AND. i == nxlu ) ) &
1296	THEN
1297	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 1 )
1298	ELSEIF ( k > nzb_s_inner(j,i+1) .AND. k > nzb_s_inner(j,i+2) &
1299	.AND. k > nzb_s_inner(j,i+3) .AND. k > nzb_s_inner(j,i-1) &
1300	.AND. k > nzb_s_inner(j,i-2) ) &
1301	THEN
1302	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 2 )
1303	ENDIF
1304	!
1305	!-- scalar - y-direction
1306	!-- WS1 (3), WS3 (4), WS5 (5)
1307	IF ( ( k <= nzb_s_inner(j+1,i) .OR. k <= nzb_s_inner(j+2,i) &
1308	.OR. k <= nzb_s_inner(j-1,i) ) &
1309	.OR. &
1310	( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) &
1311	.AND. j == nys ) .OR. &
1312	( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) &
1313	.AND. j == nyn ) ) &
1314	THEN
1315	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 3 )
1316	!
1317	!-- WS3
1318	ELSEIF ( ( k <= nzb_s_inner(j+3,i) .AND. k > nzb_s_inner(j+1,i)&
1319	.AND. k > nzb_s_inner(j+2,i)&
1320	.AND. k > nzb_s_inner(j-1,i)&
1321	) .OR. &
1322	( k <= nzb_s_inner(j-2,i) .AND. k > nzb_s_inner(j+1,i)&
1323	.AND. k > nzb_s_inner(j+2,i)&
1324	.AND. k > nzb_s_inner(j-1,i)&
1325	) &
1326	.OR. &
1327	( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) &
1328	.AND. j == nysv ) .OR. &
1329	( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) &
1330	.AND. j == nyn-1 ) ) &
1331	THEN
1332	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 4 )
1333	!
1334	!-- WS5
1335	ELSEIF ( k > nzb_s_inner(j+1,i) .AND. k > nzb_s_inner(j+2,i) &
1336	.AND. k > nzb_s_inner(j+3,i) .AND. k > nzb_s_inner(j-1,i) &
1337	.AND. k > nzb_s_inner(j-2,i) ) &
1338	THEN
1339	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 5 )
1340	ENDIF
1341	!
1342	!-- scalar - z-direction
1343	!-- WS1 (6), WS3 (7), WS5 (8)
1344	flag_set = .FALSE.
1345	IF ( k == nzb_s_inner(j,i) + 1 .OR. k == nzt ) THEN
1346	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 6 )
1347	flag_set = .TRUE.
1348	ELSEIF ( k == nzb_s_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN
1349	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 7 )
1350	flag_set = .TRUE.
1351	ELSEIF ( k > nzb_s_inner(j,i) .AND. .NOT. flag_set ) THEN
1352	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 8 )
1353	ENDIF
1354
1355	ENDDO
1356	ENDDO
1357	ENDDO
1358	ENDIF
1359
1360	IF ( momentum_advec == 'ws-scheme' ) THEN
1361	!
1362	!-- Set wall_flags_0 to steer the degradation of the advection scheme in advec_ws
1363	!-- near topography, inflow- and outflow boundaries as well as bottom and
1364	!-- top of model domain. wall_flags_0 remains zero for all non-prognostic
1365	!-- grid points.
1366	DO i = nxl, nxr
1367	DO j = nys, nyn
1368	DO k = nzb+1, nzt
1369	!
1370	!-- At first, set flags to WS1.
1371	!-- Since fluxes are swapped in advec_ws.f90, this is necessary to
1372	!-- in order to handle the left/south flux.
1373	!-- near vertical walls.
1374	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 9 )
1375	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 12 )
1376	!
1377	!-- u component - x-direction
1378	!-- WS1 (9), WS3 (10), WS5 (11)
1379	IF ( k <= nzb_u_inner(j,i+1) .OR. &
1380	( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) &
1381	.AND. i <= nxlu ) .OR. &
1382	( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) &
1383	.AND. i == nxr ) ) &
1384	THEN
1385	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 9 )
1386	ELSEIF ( ( k <= nzb_u_inner(j,i+2) .AND. &
1387	k > nzb_u_inner(j,i+1) ) .OR. &
1388	k <= nzb_u_inner(j,i-1) &
1389	.OR. &
1390	( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) &
1391	.AND. i == nxr-1 ) .OR. &
1392	( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) &
1393	.AND. i == nxlu+1) ) &
1394	THEN
1395	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 10 )
1396	!
1397	!-- Clear flag for WS1
1398	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 9 )
1399	ELSEIF ( k > nzb_u_inner(j,i+1) .AND. k > nzb_u_inner(j,i+2) &
1400	.AND. k > nzb_u_inner(j,i-1) ) &
1401	THEN
1402	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 11 )
1403	!
1404	!-- Clear flag for WS1
1405	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 9 )
1406	ENDIF
1407	!
1408	!-- u component - y-direction
1409	!-- WS1 (12), WS3 (13), WS5 (14)
1410	IF ( k <= nzb_u_inner(j+1,i) .OR. &
1411	( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) &
1412	.AND. j == nys ) .OR. &
1413	( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) &
1414	.AND. j == nyn ) ) &
1415	THEN
1416	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 12 )
1417	ELSEIF ( ( k <= nzb_u_inner(j+2,i) .AND. &
1418	k > nzb_u_inner(j+1,i) ) .OR. &
1419	k <= nzb_u_inner(j-1,i) &
1420	.OR. &
1421	( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) &
1422	.AND. j == nysv ) .OR. &
1423	( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) &
1424	.AND. j == nyn-1 ) ) &
1425	THEN
1426	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 13 )
1427	!
1428	!-- Clear flag for WS1
1429	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 12 )
1430	ELSEIF ( k > nzb_u_inner(j+1,i) .AND. k > nzb_u_inner(j+2,i) &
1431	.AND. k > nzb_u_inner(j-1,i) ) &
1432	THEN
1433	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 14 )
1434	!
1435	!-- Clear flag for WS1
1436	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 12 )
1437	ENDIF
1438	!
1439	!-- u component - z-direction
1440	!-- WS1 (15), WS3 (16), WS5 (17)
1441	flag_set = .FALSE.
1442	IF ( k == nzb_u_inner(j,i) + 1 .OR. k == nzt ) THEN
1443	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 15 )
1444	flag_set = .TRUE.
1445	ELSEIF ( k == nzb_u_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN
1446	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 16 )
1447	flag_set = .TRUE.
1448	ELSEIF ( k > nzb_u_inner(j,i) .AND. .NOT. flag_set ) THEN
1449	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 17 )
1450	ENDIF
1451
1452	ENDDO
1453	ENDDO
1454	ENDDO
1455
1456	DO i = nxl, nxr
1457	DO j = nys, nyn
1458	DO k = nzb+1, nzt
1459	!
1460	!-- At first, set flags to WS1.
1461	!-- Since fluxes are swapped in advec_ws.f90, this is necessary to
1462	!-- in order to handle the left/south flux.
1463	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 18 )
1464	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 21 )
1465	!
1466	!-- v component - x-direction
1467	!-- WS1 (18), WS3 (19), WS5 (20)
1468	IF ( k <= nzb_v_inner(j,i+1) .OR. &
1469	( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) &
1470	.AND. i == nxl ) .OR. &
1471	( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) &
1472	.AND. i == nxr ) ) &
1473	THEN
1474	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 18 )
1475	!
1476	!-- WS3
1477	ELSEIF ( ( k <= nzb_v_inner(j,i+2) .AND. &
1478	k > nzb_v_inner(j,i+1) ) .OR. &
1479	k <= nzb_v_inner(j,i-1) &
1480	.OR. &
1481	( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) &
1482	.AND. i == nxr-1 ) .OR. &
1483	( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) &
1484	.AND. i == nxlu ) ) &
1485	THEN
1486	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 19 )
1487	!
1488	!-- Clear flag for WS1
1489	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 18 )
1490	ELSEIF ( k > nzb_v_inner(j,i+1) .AND. k > nzb_v_inner(j,i+2) &
1491	.AND. k > nzb_v_inner(j,i-1) ) &
1492	THEN
1493	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 20 )
1494	!
1495	!-- Clear flag for WS1
1496	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 18 )
1497	ENDIF
1498	!
1499	!-- v component - y-direction
1500	!-- WS1 (21), WS3 (22), WS5 (23)
1501	IF ( k <= nzb_v_inner(j+1,i) .OR. &
1502	( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) &
1503	.AND. j <= nysv ) .OR. &
1504	( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) &
1505	.AND. j == nyn ) ) &
1506	THEN
1507	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 21 )
1508	ELSEIF ( ( k <= nzb_v_inner(j+2,i) .AND. &
1509	k > nzb_v_inner(j+1,i) ) .OR. &
1510	k <= nzb_v_inner(j-1,i) &
1511	.OR. &
1512	( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) &
1513	.AND. j == nysv+1) .OR. &
1514	( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) &
1515	.AND. j == nyn-1 ) ) &
1516	THEN
1517	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 22 )
1518	!
1519	!-- Clear flag for WS1
1520	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 21 )
1521	ELSEIF ( k > nzb_v_inner(j+1,i) .AND. k > nzb_v_inner(j+2,i) &
1522	.AND. k > nzb_v_inner(j-1,i) ) &
1523	THEN
1524	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 23 )
1525	!
1526	!-- Clear flag for WS1
1527	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 21 )
1528	ENDIF
1529	!
1530	!-- v component - z-direction
1531	!-- WS1 (24), WS3 (25), WS5 (26)
1532	flag_set = .FALSE.
1533	IF ( k == nzb_v_inner(j,i) + 1 .OR. k == nzt ) THEN
1534	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 24 )
1535	flag_set = .TRUE.
1536	ELSEIF ( k == nzb_v_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN
1537	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 25 )
1538	flag_set = .TRUE.
1539	ELSEIF ( k > nzb_v_inner(j,i) .AND. .NOT. flag_set ) THEN
1540	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 26 )
1541	ENDIF
1542
1543	ENDDO
1544	ENDDO
1545	ENDDO
1546	DO i = nxl, nxr
1547	DO j = nys, nyn
1548	DO k = nzb+1, nzt
1549	!
1550	!-- At first, set flags to WS1.
1551	!-- Since fluxes are swapped in advec_ws.f90, this is necessary to
1552	!-- in order to handle the left/south flux.
1553	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 27 )
1554	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 30 )
1555	!
1556	!-- w component - x-direction
1557	!-- WS1 (27), WS3 (28), WS5 (29)
1558	IF ( k <= nzb_w_inner(j,i+1) .OR. &
1559	( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) &
1560	.AND. i == nxl ) .OR. &
1561	( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) &
1562	.AND. i == nxr ) ) &
1563	THEN
1564	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 27 )
1565	ELSEIF ( ( k <= nzb_w_inner(j,i+2) .AND. &
1566	k > nzb_w_inner(j,i+1) ) .OR. &
1567	k <= nzb_w_inner(j,i-1) &
1568	.OR. &
1569	( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) &
1570	.AND. i == nxr-1 ) .OR. &
1571	( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) &
1572	.AND. i == nxlu ) ) &
1573	THEN
1574	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 28 )
1575	!
1576	!-- Clear flag for WS1
1577	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 27 )
1578	ELSEIF ( k > nzb_w_inner(j,i+1) .AND. k > nzb_w_inner(j,i+2) &
1579	.AND. k > nzb_w_inner(j,i-1) ) &
1580	THEN
1581	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i),29 )
1582	!
1583	!-- Clear flag for WS1
1584	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 27 )
1585	ENDIF
1586	!
1587	!-- w component - y-direction
1588	!-- WS1 (30), WS3 (31), WS5 (32)
1589	IF ( k <= nzb_w_inner(j+1,i) .OR. &
1590	( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) &
1591	.AND. j == nys ) .OR. &
1592	( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) &
1593	.AND. j == nyn ) ) &
1594	THEN
1595	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 30 )
1596	ELSEIF ( ( k <= nzb_w_inner(j+2,i) .AND. &
1597	k > nzb_w_inner(j+1,i) ) .OR. &
1598	k <= nzb_w_inner(j-1,i) &
1599	.OR. &
1600	( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) &
1601	.AND. j == nysv ) .OR. &
1602	( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) &
1603	.AND. j == nyn-1 ) ) &
1604	THEN
1605	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 31 )
1606	!
1607	!-- Clear flag for WS1
1608	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 30 )
1609	ELSEIF ( k > nzb_w_inner(j+1,i) .AND. k > nzb_w_inner(j+2,i) &
1610	.AND. k > nzb_w_inner(j-1,i) ) &
1611	THEN
1612	wall_flags_00(k,j,i) = IBSET( wall_flags_00(k,j,i), 0 )
1613	!
1614	!-- Clear flag for WS1
1615	wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 30 )
1616	ENDIF
1617	!
1618	!-- w component - z-direction
1619	!-- WS1 (33), WS3 (34), WS5 (35)
1620	flag_set = .FALSE.
1621	IF ( k == nzb_w_inner(j,i) .OR. k == nzb_w_inner(j,i) + 1 &
1622	.OR. k == nzt ) THEN
1623	!
1624	!-- Please note, at k == nzb_w_inner(j,i) a flag is explictely
1625	!-- set, although this is not a prognostic level. However,
1626	!-- contrary to the advection of u,v and s this is necessary
1627	!-- because flux_t(nzb_w_inner(j,i)) is used for the tendency
1628	!-- at k == nzb_w_inner(j,i)+1.
1629	wall_flags_00(k,j,i) = IBSET( wall_flags_00(k,j,i), 1 )
1630	flag_set = .TRUE.
1631	ELSEIF ( k == nzb_w_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN
1632	wall_flags_00(k,j,i) = IBSET( wall_flags_00(k,j,i), 2 )
1633	flag_set = .TRUE.
1634	ELSEIF ( k > nzb_w_inner(j,i) .AND. .NOT. flag_set ) THEN
1635	wall_flags_00(k,j,i) = IBSET( wall_flags_00(k,j,i), 3 )
1636	ENDIF
1637
1638	ENDDO
1639	ENDDO
1640	ENDDO
1641
1642	ENDIF
1643
1644	!
1645	!-- Exchange 3D integer wall_flags.
1646	IF ( momentum_advec == 'ws-scheme' .OR. scalar_advec == 'ws-scheme' &
1647	.OR. scalar_advec == 'ws-scheme-mono' ) THEN
1648	!
1649	!-- Exchange ghost points for advection flags
1650	CALL exchange_horiz_int( wall_flags_0, nbgp )
1651	CALL exchange_horiz_int( wall_flags_00, nbgp )
1652	!
1653	!-- Set boundary flags at inflow and outflow boundary in case of
1654	!-- non-cyclic boundary conditions.
1655	IF ( inflow_l .OR. outflow_l .OR. nest_bound_l ) THEN
1656	wall_flags_0(:,:,nxl-1) = wall_flags_0(:,:,nxl)
1657	wall_flags_00(:,:,nxl-1) = wall_flags_00(:,:,nxl)
1658	ENDIF
1659
1660	IF ( inflow_r .OR. outflow_r .OR. nest_bound_r ) THEN
1661	wall_flags_0(:,:,nxr+1) = wall_flags_0(:,:,nxr)
1662	wall_flags_00(:,:,nxr+1) = wall_flags_00(:,:,nxr)
1663	ENDIF
1664
1665	IF ( inflow_n .OR. outflow_n .OR. nest_bound_n ) THEN
1666	wall_flags_0(:,nyn+1,:) = wall_flags_0(:,nyn,:)
1667	wall_flags_00(:,nyn+1,:) = wall_flags_00(:,nyn,:)
1668	ENDIF
1669
1670	IF ( inflow_s .OR. outflow_s .OR. nest_bound_s ) THEN
1671	wall_flags_0(:,nys-1,:) = wall_flags_0(:,nys,:)
1672	wall_flags_00(:,nys-1,:) = wall_flags_00(:,nys,:)
1673	ENDIF
1674
1675	ENDIF
1676
1677	!
1678	!-- In case of topography: limit near-wall mixing length l_wall further:
1679	!-- Go through all points of the subdomain one by one and look for the closest
1680	!-- surface
1681	IF ( TRIM(topography) /= 'flat' ) THEN
1682	DO i = nxl, nxr
1683	DO j = nys, nyn
1684
1685	nzb_si = nzb_s_inner(j,i)
1686	vi = vertical_influence(nzb_si)
1687
1688	IF ( wall_n(j,i) > 0 ) THEN
1689	!
1690	!-- North wall (y distance)
1691	DO k = wall_n(j,i), nzb_si
1692	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), 0.5_wp * dy )
1693	ENDDO
1694	!
1695	!-- Above North wall (yz distance)
1696	DO k = nzb_si + 1, nzb_si + vi
1697	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), &
1698	SQRT( 0.25_wp * dy**2 + &
1699	( zu(k) - zw(nzb_si) )**2 ) )
1700	ENDDO
1701	!
1702	!-- Northleft corner (xy distance)
1703	IF ( corner_nl(j,i) > 0 ) THEN
1704	DO k = corner_nl(j,i), nzb_si
1705	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
1706	0.5_wp * SQRT( dx2 + dy2 ) )
1707	ENDDO
1708	!
1709	!-- Above Northleft corner (xyz distance)
1710	DO k = nzb_si + 1, nzb_si + vi
1711	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
1712	SQRT( 0.25_wp * (dx2 + dy2) + &
1713	( zu(k) - zw(nzb_si) )**2 ) )
1714	ENDDO
1715	ENDIF
1716	!
1717	!-- Northright corner (xy distance)
1718	IF ( corner_nr(j,i) > 0 ) THEN
1719	DO k = corner_nr(j,i), nzb_si
1720	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
1721	0.5_wp * SQRT( dx2 + dy2 ) )
1722	ENDDO
1723	!
1724	!-- Above northright corner (xyz distance)
1725	DO k = nzb_si + 1, nzb_si + vi
1726	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
1727	SQRT( 0.25_wp * (dx2 + dy2) + &
1728	( zu(k) - zw(nzb_si) )**2 ) )
1729	ENDDO
1730	ENDIF
1731	ENDIF
1732
1733	IF ( wall_s(j,i) > 0 ) THEN
1734	!
1735	!-- South wall (y distance)
1736	DO k = wall_s(j,i), nzb_si
1737	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), 0.5_wp * dy )
1738	ENDDO
1739	!
1740	!-- Above south wall (yz distance)
1741	DO k = nzb_si + 1, nzb_si + vi
1742	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), &
1743	SQRT( 0.25_wp * dy**2 + &
1744	( zu(k) - zw(nzb_si) )**2 ) )
1745	ENDDO
1746	!
1747	!-- Southleft corner (xy distance)
1748	IF ( corner_sl(j,i) > 0 ) THEN
1749	DO k = corner_sl(j,i), nzb_si
1750	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
1751	0.5_wp * SQRT( dx2 + dy2 ) )
1752	ENDDO
1753	!
1754	!-- Above southleft corner (xyz distance)
1755	DO k = nzb_si + 1, nzb_si + vi
1756	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
1757	SQRT( 0.25_wp * (dx2 + dy2) + &
1758	( zu(k) - zw(nzb_si) )**2 ) )
1759	ENDDO
1760	ENDIF
1761	!
1762	!-- Southright corner (xy distance)
1763	IF ( corner_sr(j,i) > 0 ) THEN
1764	DO k = corner_sr(j,i), nzb_si
1765	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
1766	0.5_wp * SQRT( dx2 + dy2 ) )
1767	ENDDO
1768	!
1769	!-- Above southright corner (xyz distance)
1770	DO k = nzb_si + 1, nzb_si + vi
1771	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
1772	SQRT( 0.25_wp * (dx2 + dy2) + &
1773	( zu(k) - zw(nzb_si) )**2 ) )
1774	ENDDO
1775	ENDIF
1776
1777	ENDIF
1778
1779	IF ( wall_l(j,i) > 0 ) THEN
1780	!
1781	!-- Left wall (x distance)
1782	DO k = wall_l(j,i), nzb_si
1783	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), 0.5_wp * dx )
1784	ENDDO
1785	!
1786	!-- Above left wall (xz distance)
1787	DO k = nzb_si + 1, nzb_si + vi
1788	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), &
1789	SQRT( 0.25_wp * dx**2 + &
1790	( zu(k) - zw(nzb_si) )**2 ) )
1791	ENDDO
1792	ENDIF
1793
1794	IF ( wall_r(j,i) > 0 ) THEN
1795	!
1796	!-- Right wall (x distance)
1797	DO k = wall_r(j,i), nzb_si
1798	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), 0.5_wp * dx )
1799	ENDDO
1800	!
1801	!-- Above right wall (xz distance)
1802	DO k = nzb_si + 1, nzb_si + vi
1803	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), &
1804	SQRT( 0.25_wp * dx**2 + &
1805	( zu(k) - zw(nzb_si) )**2 ) )
1806	ENDDO
1807
1808	ENDIF
1809
1810	ENDDO
1811	ENDDO
1812
1813	ENDIF
1814
1815	!
1816	!-- Multiplication with wall_adjustment_factor
1817	l_wall = wall_adjustment_factor * l_wall
1818
1819	!
1820	!-- Set lateral boundary conditions for l_wall
1821	CALL exchange_horiz( l_wall, nbgp )
1822
1823	DEALLOCATE( corner_nl, corner_nr, corner_sl, corner_sr, nzb_local, &
1824	nzb_tmp, vertical_influence, wall_l, wall_n, wall_r, wall_s )
1825
1826
1827	END SUBROUTINE init_grid

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