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source: palm/trunk/SOURCE/init_grid.f90 @ 1088

Last change on this file since 1088 was 1070, checked in by maronga, 12 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 1997-2012 Leibniz University Hannover
18	!--------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: init_grid.f90 1070 2012-11-28 16:26:33Z raasch $
27	!
28	! 1069 2012-11-28 16:18:43Z maronga
29	! bugfix: added coupling_char to TOPOGRAPHY_DATA to allow topography in the ocean
30	! model in case of coupled runs
31	!
32	! 1036 2012-10-22 13:43:42Z raasch
33	! code put under GPL (PALM 3.9)
34	!
35	! 1015 2012-09-27 09:23:24Z raasch
36	! lower index for calculating wall_flags_0 set to nzb_w_inner instead of
37	! nzb_w_inner+1
38	!
39	! 996 2012-09-07 10:41:47Z raasch
40	! little reformatting
41	!
42	! 978 2012-08-09 08:28:32Z fricke
43	! Bugfix: nzb_max is set to nzt at non-cyclic lateral boundaries
44	! Bugfix: Set wall_flags_0 for inflow boundary
45	!
46	! 927 2012-06-06 19:15:04Z raasch
47	! Wall flags are not set for multigrid method in case of masking method
48	!
49	! 864 2012-03-27 15:10:33Z gryschka
50	! In case of ocean and Dirichlet bottom bc for u and v dzu_mg and ddzu_pres
51	! were not correctly defined for k=1.
52	!
53	! 861 2012-03-26 14:18:34Z suehring
54	! Set wall_flags_0. The array is needed for degradation in ws-scheme near walls,
55	! inflow and outflow boundaries as well as near the bottom and the top of the
56	! model domain.!
57	! Initialization of nzb_s_inner and nzb_w_inner.
58	! gls has to be at least nbgp to do not exceed the array bounds of nzb_local
59	! while setting wall_flags_0
60	!
61	! 843 2012-02-29 15:16:21Z gryschka
62	! In case of ocean and dirichlet bc for u and v at the bottom
63	! the first u-level ist defined at same height as the first w-level
64	!
65	! 818 2012-02-08 16:11:23Z maronga
66	! Bugfix: topo_height is only required if topography is used. It is thus now
67	! allocated in the topography branch
68	!
69	! 809 2012-01-30 13:32:58Z maronga
70	! Bugfix: replaced .AND. and .NOT. with && and ! in the preprocessor directives
71	!
72	! 807 2012-01-25 11:53:51Z maronga
73	! New cpp directive "__check" implemented which is used by check_namelist_files
74	!
75	! 759 2011-09-15 13:58:31Z raasch
76	! Splitting of parallel I/O in blocks of PEs
77	!
78	! 722 2011-04-11 06:21:09Z raasch
79	! Bugfix: bc_lr/ns_cyc replaced by bc_lr/ns, because variables are not yet set
80	! here
81	!
82	! 709 2011-03-30 09:31:40Z raasch
83	! formatting adjustments
84	!
85	! 707 2011-03-29 11:39:40Z raasch
86	! bc_lr/ns replaced by bc_lr/ns_cyc
87	!
88	! 667 2010-12-23 12:06:00Z suehring/gryschka
89	! Definition of new array bounds nxlg, nxrg, nysg, nyng on each PE.
90	! Furthermore the allocation of arrays and steering of loops is done with these
91	! parameters. Call of exchange_horiz are modified.
92	! In case of dirichlet bounday condition at the bottom zu(0)=0.0
93	! dzu_mg has to be set explicitly for a equally spaced grid near bottom.
94	! ddzu_pres added to use a equally spaced grid near bottom.
95	!
96	! 555 2010-09-07 07:32:53Z raasch
97	! Bugfix: default setting of nzb_local for flat topography
98	!
99	! 274 2009-03-26 15:11:21Z heinze
100	! Output of messages replaced by message handling routine.
101	! new topography case 'single_street_canyon'
102	!
103	! 217 2008-12-09 18:00:48Z letzel
104	! +topography_grid_convention
105	!
106	! 134 2007-11-21 07:28:38Z letzel
107	! Redefine initial nzb_local as the actual total size of topography (later the
108	! extent of topography in nzb_local is reduced by 1dx at the E topography walls
109	! and by 1dy at the N topography walls to form the basis for nzb_s_inner);
110	! for consistency redefine 'single_building' case.
111	! Calculation of wall flag arrays
112	!
113	! 94 2007-06-01 15:25:22Z raasch
114	! Grid definition for ocean version
115	!
116	! 75 2007-03-22 09:54:05Z raasch
117	! storage of topography height arrays zu_s_inner and zw_s_inner,
118	! 2nd+3rd argument removed from exchange horiz
119	!
120	! 19 2007-02-23 04:53:48Z raasch
121	! Setting of nzt_diff
122	!
123	! RCS Log replace by Id keyword, revision history cleaned up
124	!
125	! Revision 1.17 2006/08/22 14:00:05 raasch
126	! +dz_max to limit vertical stretching,
127	! bugfix in index array initialization for line- or point-like topography
128	! structures
129	!
130	! Revision 1.1 1997/08/11 06:17:45 raasch
131	! Initial revision (Testversion)
132	!
133	!
134	! Description:
135	! ------------
136	! Creating grid depending constants
137	!------------------------------------------------------------------------------!
138
139	USE arrays_3d
140	USE control_parameters
141	USE grid_variables
142	USE indices
143	USE pegrid
144
145	IMPLICIT NONE
146
147	INTEGER :: bh, blx, bly, bxl, bxr, byn, bys, ch, cwx, cwy, cxl, cxr, cyn, &
148	cys, gls, i, ii, inc, i_center, j, j_center, k, l, nxl_l, &
149	nxr_l, nyn_l, nys_l, nzb_si, nzt_l, vi
150
151	INTEGER, DIMENSION(:), ALLOCATABLE :: vertical_influence
152
153	INTEGER, DIMENSION(:,:), ALLOCATABLE :: corner_nl, corner_nr, corner_sl, &
154	corner_sr, wall_l, wall_n, wall_r,&
155	wall_s, nzb_local, nzb_tmp
156
157	LOGICAL :: flag_set = .FALSE.
158
159	REAL :: dx_l, dy_l, dz_stretched
160
161	REAL, DIMENSION(:,:), ALLOCATABLE :: topo_height
162
163	REAL, DIMENSION(:,:,:), ALLOCATABLE :: distance
164
165	!
166	!-- Calculation of horizontal array bounds including ghost layers
167	nxlg = nxl - nbgp
168	nxrg = nxr + nbgp
169	nysg = nys - nbgp
170	nyng = nyn + nbgp
171
172	!
173	!-- Allocate grid arrays
174	ALLOCATE( ddzu(1:nzt+1), ddzw(1:nzt+1), dd2zu(1:nzt), dzu(1:nzt+1), &
175	dzw(1:nzt+1), l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1) )
176
177	!
178	!-- Compute height of u-levels from constant grid length and dz stretch factors
179	IF ( dz == -1.0 ) THEN
180	message_string = 'missing dz'
181	CALL message( 'init_grid', 'PA0200', 1, 2, 0, 6, 0 )
182	ELSEIF ( dz <= 0.0 ) THEN
183	WRITE( message_string, * ) 'dz=',dz,' <= 0.0'
184	CALL message( 'init_grid', 'PA0201', 1, 2, 0, 6, 0 )
185	ENDIF
186
187	!
188	!-- Define the vertical grid levels
189	IF ( .NOT. ocean ) THEN
190	!
191	!-- Grid for atmosphere with surface at z=0 (k=0, w-grid).
192	!-- The second u-level (k=1) corresponds to the top of the
193	!-- Prandtl-layer.
194
195	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
196	zu(0) = 0.0
197	! zu(0) = - dz * 0.5
198	ELSE
199	zu(0) = - dz * 0.5
200	ENDIF
201	zu(1) = dz * 0.5
202
203	dz_stretch_level_index = nzt+1
204	dz_stretched = dz
205	DO k = 2, nzt+1
206	IF ( dz_stretch_level <= zu(k-1) .AND. dz_stretched < dz_max ) THEN
207	dz_stretched = dz_stretched * dz_stretch_factor
208	dz_stretched = MIN( dz_stretched, dz_max )
209	IF ( dz_stretch_level_index == nzt+1 ) dz_stretch_level_index = k-1
210	ENDIF
211	zu(k) = zu(k-1) + dz_stretched
212	ENDDO
213
214	!
215	!-- Compute the w-levels. They are always staggered half-way between the
216	!-- corresponding u-levels. In case of dirichlet bc for u and v at the
217	!-- ground the first u- and w-level (k=0) are defined at same height (z=0).
218	!-- The top w-level is extrapolated linearly.
219	zw(0) = 0.0
220	DO k = 1, nzt
221	zw(k) = ( zu(k) + zu(k+1) ) * 0.5
222	ENDDO
223	zw(nzt+1) = zw(nzt) + 2.0 * ( zu(nzt+1) - zw(nzt) )
224
225	ELSE
226	!
227	!-- Grid for ocean with free water surface is at k=nzt (w-grid).
228	!-- In case of neumann bc at the ground the first first u-level (k=0) lies
229	!-- below the first w-level (k=0). In case of dirichlet bc the first u- and
230	!-- w-level are defined at same height, but staggered from the second level.
231	!-- The second u-level (k=1) corresponds to the top of the Prandtl-layer.
232	zu(nzt+1) = dz * 0.5
233	zu(nzt) = - dz * 0.5
234
235	dz_stretch_level_index = 0
236	dz_stretched = dz
237	DO k = nzt-1, 0, -1
238	IF ( dz_stretch_level <= ABS( zu(k+1) ) .AND. &
239	dz_stretched < dz_max ) THEN
240	dz_stretched = dz_stretched * dz_stretch_factor
241	dz_stretched = MIN( dz_stretched, dz_max )
242	IF ( dz_stretch_level_index == 0 ) dz_stretch_level_index = k+1
243	ENDIF
244	zu(k) = zu(k+1) - dz_stretched
245	ENDDO
246
247	!
248	!-- Compute the w-levels. They are always staggered half-way between the
249	!-- corresponding u-levels, except in case of dirichlet bc for u and v
250	!-- at the ground. In this case the first u- and w-level are defined at
251	!-- same height. The top w-level (nzt+1) is not used but set for
252	!-- consistency, since w and all scalar variables are defined up tp nzt+1.
253	zw(nzt+1) = dz
254	zw(nzt) = 0.0
255	DO k = 0, nzt
256	zw(k) = ( zu(k) + zu(k+1) ) * 0.5
257	ENDDO
258
259	!
260	!-- In case of dirichlet bc for u and v the first u- and w-level are defined
261	!-- at same height.
262	IF ( ibc_uv_b == 0 ) THEN
263	zu(0) = zw(0)
264	ENDIF
265
266	ENDIF
267
268	!
269	!-- Compute grid lengths.
270	DO k = 1, nzt+1
271	dzu(k) = zu(k) - zu(k-1)
272	ddzu(k) = 1.0 / dzu(k)
273	dzw(k) = zw(k) - zw(k-1)
274	ddzw(k) = 1.0 / dzw(k)
275	ENDDO
276
277	DO k = 1, nzt
278	dd2zu(k) = 1.0 / ( dzu(k) + dzu(k+1) )
279	ENDDO
280
281	!
282	!-- The FFT- SOR-pressure solvers assume grid spacings of a staggered grid
283	!-- everywhere. For the actual grid, the grid spacing at the lowest level
284	!-- is only dz/2, but should be dz. Therefore, an additional array
285	!-- containing with appropriate grid information is created for these
286	!-- solvers.
287	IF ( psolver /= 'multigrid' ) THEN
288	ALLOCATE( ddzu_pres(1:nzt+1) )
289	ddzu_pres = ddzu
290	ddzu_pres(1) = ddzu_pres(2) ! change for lowest level
291	ENDIF
292
293	!
294	!-- In case of multigrid method, compute grid lengths and grid factors for the
295	!-- grid levels
296	IF ( psolver == 'multigrid' ) THEN
297
298	ALLOCATE( ddx2_mg(maximum_grid_level), ddy2_mg(maximum_grid_level), &
299	dzu_mg(nzb+1:nzt+1,maximum_grid_level), &
300	dzw_mg(nzb+1:nzt+1,maximum_grid_level), &
301	f1_mg(nzb+1:nzt,maximum_grid_level), &
302	f2_mg(nzb+1:nzt,maximum_grid_level), &
303	f3_mg(nzb+1:nzt,maximum_grid_level) )
304
305	dzu_mg(:,maximum_grid_level) = dzu
306	!
307	!-- Next line to ensure an equally spaced grid.
308	dzu_mg(1,maximum_grid_level) = dzu(2)
309
310	dzw_mg(:,maximum_grid_level) = dzw
311	nzt_l = nzt
312	DO l = maximum_grid_level-1, 1, -1
313	dzu_mg(nzb+1,l) = 2.0 * dzu_mg(nzb+1,l+1)
314	dzw_mg(nzb+1,l) = 2.0 * dzw_mg(nzb+1,l+1)
315	nzt_l = nzt_l / 2
316	DO k = 2, nzt_l+1
317	dzu_mg(k,l) = dzu_mg(2k-2,l+1) + dzu_mg(2k-1,l+1)
318	dzw_mg(k,l) = dzw_mg(2k-2,l+1) + dzw_mg(2k-1,l+1)
319	ENDDO
320	ENDDO
321
322	nzt_l = nzt
323	dx_l = dx
324	dy_l = dy
325	DO l = maximum_grid_level, 1, -1
326	ddx2_mg(l) = 1.0 / dx_l**2
327	ddy2_mg(l) = 1.0 / dy_l**2
328	DO k = nzb+1, nzt_l
329	f2_mg(k,l) = 1.0 / ( dzu_mg(k+1,l) * dzw_mg(k,l) )
330	f3_mg(k,l) = 1.0 / ( dzu_mg(k,l) * dzw_mg(k,l) )
331	f1_mg(k,l) = 2.0 * ( ddx2_mg(l) + ddy2_mg(l) ) + &
332	f2_mg(k,l) + f3_mg(k,l)
333	ENDDO
334	nzt_l = nzt_l / 2
335	dx_l = dx_l * 2.0
336	dy_l = dy_l * 2.0
337	ENDDO
338
339	ENDIF
340
341	!
342	!-- Compute the reciprocal values of the horizontal grid lengths.
343	ddx = 1.0 / dx
344	ddy = 1.0 / dy
345	dx2 = dx * dx
346	dy2 = dy * dy
347	ddx2 = 1.0 / dx2
348	ddy2 = 1.0 / dy2
349
350	!
351	!-- Compute the grid-dependent mixing length.
352	DO k = 1, nzt
353	l_grid(k) = ( dx * dy * dzw(k) )**0.33333333333333
354	ENDDO
355
356	!
357	!-- Allocate outer and inner index arrays for topography and set
358	!-- defaults.
359	!-- nzb_local has to contain additional layers of ghost points for calculating
360	!-- the flag arrays needed for the multigrid method
361	gls = 2**( maximum_grid_level )
362	IF ( gls < nbgp ) gls = nbgp
363
364	ALLOCATE( corner_nl(nys:nyn,nxl:nxr), corner_nr(nys:nyn,nxl:nxr), &
365	corner_sl(nys:nyn,nxl:nxr), corner_sr(nys:nyn,nxl:nxr), &
366	nzb_local(-gls:ny+gls,-gls:nx+gls), &
367	nzb_tmp(-nbgp:ny+nbgp,-nbgp:nx+nbgp), &
368	wall_l(nys:nyn,nxl:nxr), wall_n(nys:nyn,nxl:nxr), &
369	wall_r(nys:nyn,nxl:nxr), wall_s(nys:nyn,nxl:nxr) )
370	ALLOCATE( fwxm(nysg:nyng,nxlg:nxrg), fwxp(nysg:nyng,nxlg:nxrg), &
371	fwym(nysg:nyng,nxlg:nxrg), fwyp(nysg:nyng,nxlg:nxrg), &
372	fxm(nysg:nyng,nxlg:nxrg), fxp(nysg:nyng,nxlg:nxrg), &
373	fym(nysg:nyng,nxlg:nxrg), fyp(nysg:nyng,nxlg:nxrg), &
374	nzb_s_inner(nysg:nyng,nxlg:nxrg), &
375	nzb_s_outer(nysg:nyng,nxlg:nxrg), &
376	nzb_u_inner(nysg:nyng,nxlg:nxrg), &
377	nzb_u_outer(nysg:nyng,nxlg:nxrg), &
378	nzb_v_inner(nysg:nyng,nxlg:nxrg), &
379	nzb_v_outer(nysg:nyng,nxlg:nxrg), &
380	nzb_w_inner(nysg:nyng,nxlg:nxrg), &
381	nzb_w_outer(nysg:nyng,nxlg:nxrg), &
382	nzb_diff_s_inner(nysg:nyng,nxlg:nxrg), &
383	nzb_diff_s_outer(nysg:nyng,nxlg:nxrg), &
384	nzb_diff_u(nysg:nyng,nxlg:nxrg), &
385	nzb_diff_v(nysg:nyng,nxlg:nxrg), &
386	nzb_2d(nysg:nyng,nxlg:nxrg), &
387	wall_e_x(nysg:nyng,nxlg:nxrg), &
388	wall_e_y(nysg:nyng,nxlg:nxrg), &
389	wall_u(nysg:nyng,nxlg:nxrg), &
390	wall_v(nysg:nyng,nxlg:nxrg), &
391	wall_w_x(nysg:nyng,nxlg:nxrg), &
392	wall_w_y(nysg:nyng,nxlg:nxrg) )
393
394
395
396	ALLOCATE( l_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
397
398
399	nzb_s_inner = nzb; nzb_s_outer = nzb
400	nzb_u_inner = nzb; nzb_u_outer = nzb
401	nzb_v_inner = nzb; nzb_v_outer = nzb
402	nzb_w_inner = nzb; nzb_w_outer = nzb
403
404	!
405	!-- Define vertical gridpoint from (or to) which on the usual finite difference
406	!-- form (which does not use surface fluxes) is applied
407	IF ( prandtl_layer .OR. use_surface_fluxes ) THEN
408	nzb_diff = nzb + 2
409	ELSE
410	nzb_diff = nzb + 1
411	ENDIF
412	IF ( use_top_fluxes ) THEN
413	nzt_diff = nzt - 1
414	ELSE
415	nzt_diff = nzt
416	ENDIF
417
418	nzb_diff_s_inner = nzb_diff; nzb_diff_s_outer = nzb_diff
419	nzb_diff_u = nzb_diff; nzb_diff_v = nzb_diff
420
421	wall_e_x = 0.0; wall_e_y = 0.0; wall_u = 0.0; wall_v = 0.0
422	wall_w_x = 0.0; wall_w_y = 0.0
423	fwxp = 1.0; fwxm = 1.0; fwyp = 1.0; fwym = 1.0
424	fxp = 1.0; fxm = 1.0; fyp = 1.0; fym = 1.0
425
426	!
427	!-- Initialize near-wall mixing length l_wall only in the vertical direction
428	!-- for the moment,
429	!-- multiplication with wall_adjustment_factor near the end of this routine
430	l_wall(nzb,:,:) = l_grid(1)
431	DO k = nzb+1, nzt
432	l_wall(k,:,:) = l_grid(k)
433	ENDDO
434	l_wall(nzt+1,:,:) = l_grid(nzt)
435
436	ALLOCATE ( vertical_influence(nzb:nzt) )
437	DO k = 1, nzt
438	vertical_influence(k) = MIN ( INT( l_grid(k) / &
439	( wall_adjustment_factor * dzw(k) ) + 0.5 ), nzt - k )
440	ENDDO
441
442	DO k = 1, MAXVAL( nzb_s_inner )
443	IF ( l_grid(k) > 1.5 * dx * wall_adjustment_factor .OR. &
444	l_grid(k) > 1.5 * dy * wall_adjustment_factor ) THEN
445	WRITE( message_string, * ) 'grid anisotropy exceeds ', &
446	'threshold given by only local', &
447	' &horizontal reduction of near_wall ', &
448	'mixing length l_wall', &
449	' &starting from height level k = ', k, '.'
450	CALL message( 'init_grid', 'PA0202', 0, 1, 0, 6, 0 )
451	EXIT
452	ENDIF
453	ENDDO
454	vertical_influence(0) = vertical_influence(1)
455
456	DO i = nxlg, nxrg
457	DO j = nysg, nyng
458	DO k = nzb_s_inner(j,i) + 1, &
459	nzb_s_inner(j,i) + vertical_influence(nzb_s_inner(j,i))
460	l_wall(k,j,i) = zu(k) - zw(nzb_s_inner(j,i))
461	ENDDO
462	ENDDO
463	ENDDO
464
465	!
466	!-- Set outer and inner index arrays for non-flat topography.
467	!-- Here consistency checks concerning domain size and periodicity are
468	!-- necessary.
469	!-- Within this SELECT CASE structure only nzb_local is initialized
470	!-- individually depending on the chosen topography type, all other index
471	!-- arrays are initialized further below.
472	SELECT CASE ( TRIM( topography ) )
473
474	CASE ( 'flat' )
475	!
476	!-- nzb_local is required for the multigrid solver
477	nzb_local = 0
478
479	CASE ( 'single_building' )
480	!
481	!-- Single rectangular building, by default centered in the middle of the
482	!-- total domain
483	blx = NINT( building_length_x / dx )
484	bly = NINT( building_length_y / dy )
485	bh = NINT( building_height / dz )
486
487	IF ( building_wall_left == 9999999.9 ) THEN
488	building_wall_left = ( nx + 1 - blx ) / 2 * dx
489	ENDIF
490	bxl = NINT( building_wall_left / dx )
491	bxr = bxl + blx
492
493	IF ( building_wall_south == 9999999.9 ) THEN
494	building_wall_south = ( ny + 1 - bly ) / 2 * dy
495	ENDIF
496	bys = NINT( building_wall_south / dy )
497	byn = bys + bly
498
499	!
500	!-- Building size has to meet some requirements
501	IF ( ( bxl < 1 ) .OR. ( bxr > nx-1 ) .OR. ( bxr < bxl+3 ) .OR. &
502	( bys < 1 ) .OR. ( byn > ny-1 ) .OR. ( byn < bys+3 ) ) THEN
503	WRITE( message_string, * ) 'inconsistent building parameters:', &
504	'& bxl=', bxl, 'bxr=', bxr, 'bys=', bys, &
505	'byn=', byn, 'nx=', nx, 'ny=', ny
506	CALL message( 'init_grid', 'PA0203', 1, 2, 0, 6, 0 )
507	ENDIF
508
509	!
510	!-- Define the building.
511	nzb_local = 0
512	nzb_local(bys:byn,bxl:bxr) = bh
513
514	CASE ( 'single_street_canyon' )
515	!
516	!-- Single quasi-2D street canyon of infinite length in x or y direction.
517	!-- The canyon is centered in the other direction by default.
518	IF ( canyon_width_x /= 9999999.9 ) THEN
519	!
520	!-- Street canyon in y direction
521	cwx = NINT( canyon_width_x / dx )
522	IF ( canyon_wall_left == 9999999.9 ) THEN
523	canyon_wall_left = ( nx + 1 - cwx ) / 2 * dx
524	ENDIF
525	cxl = NINT( canyon_wall_left / dx )
526	cxr = cxl + cwx
527
528	ELSEIF ( canyon_width_y /= 9999999.9 ) THEN
529	!
530	!-- Street canyon in x direction
531	cwy = NINT( canyon_width_y / dy )
532	IF ( canyon_wall_south == 9999999.9 ) THEN
533	canyon_wall_south = ( ny + 1 - cwy ) / 2 * dy
534	ENDIF
535	cys = NINT( canyon_wall_south / dy )
536	cyn = cys + cwy
537
538	ELSE
539
540	message_string = 'no street canyon width given'
541	CALL message( 'init_grid', 'PA0204', 1, 2, 0, 6, 0 )
542
543	ENDIF
544
545	ch = NINT( canyon_height / dz )
546	dp_level_ind_b = ch
547	!
548	!-- Street canyon size has to meet some requirements
549	IF ( canyon_width_x /= 9999999.9 ) THEN
550	IF ( ( cxl < 1 ) .OR. ( cxr > nx-1 ) .OR. ( cwx < 3 ) .OR. &
551	( ch < 3 ) ) THEN
552	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
553	'&cxl=', cxl, 'cxr=', cxr, &
554	'cwx=', cwx, &
555	'ch=', ch, 'nx=', nx, 'ny=', ny
556	CALL message( 'init_grid', 'PA0205', 1, 2, 0, 6, 0 )
557	ENDIF
558	ELSEIF ( canyon_width_y /= 9999999.9 ) THEN
559	IF ( ( cys < 1 ) .OR. ( cyn > ny-1 ) .OR. ( cwy < 3 ) .OR. &
560	( ch < 3 ) ) THEN
561	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
562	'&cys=', cys, 'cyn=', cyn, &
563	'cwy=', cwy, &
564	'ch=', ch, 'nx=', nx, 'ny=', ny
565	CALL message( 'init_grid', 'PA0206', 1, 2, 0, 6, 0 )
566	ENDIF
567	ENDIF
568	IF ( canyon_width_x /= 9999999.9 .AND. canyon_width_y /= 9999999.9 ) &
569	THEN
570	message_string = 'inconsistent canyon parameters:' // &
571	'&street canyon can only be oriented' // &
572	'&either in x- or in y-direction'
573	CALL message( 'init_grid', 'PA0207', 1, 2, 0, 6, 0 )
574	ENDIF
575
576	nzb_local = ch
577	IF ( canyon_width_x /= 9999999.9 ) THEN
578	nzb_local(:,cxl+1:cxr-1) = 0
579	ELSEIF ( canyon_width_y /= 9999999.9 ) THEN
580	nzb_local(cys+1:cyn-1,:) = 0
581	ENDIF
582
583	CASE ( 'read_from_file' )
584
585	ALLOCATE ( topo_height(0:ny,0:nx) )
586
587	DO ii = 0, io_blocks-1
588	IF ( ii == io_group ) THEN
589
590	!
591	!-- Arbitrary irregular topography data in PALM format (exactly
592	!-- matching the grid size and total domain size)
593	OPEN( 90, FILE='TOPOGRAPHY_DATA'//coupling_char, STATUS='OLD', &
594	FORM='FORMATTED', ERR=10 )
595	DO j = ny, 0, -1
596	READ( 90, *, ERR=11, END=11 ) ( topo_height(j,i), i = 0,nx )
597	ENDDO
598
599	GOTO 12
600
601	10 message_string = 'file TOPOGRAPHY'//coupling_char//' does not exist'
602	CALL message( 'init_grid', 'PA0208', 1, 2, 0, 6, 0 )
603
604	11 message_string = 'errors in file TOPOGRAPHY_DATA'//coupling_char
605	CALL message( 'init_grid', 'PA0209', 1, 2, 0, 6, 0 )
606
607	12 CLOSE( 90 )
608
609	ENDIF
610	#if defined( __parallel ) && ! defined ( __check )
611	CALL MPI_BARRIER( comm2d, ierr )
612	#endif
613	ENDDO
614
615	!
616	!-- Calculate the index height of the topography
617	DO i = 0, nx
618	DO j = 0, ny
619	nzb_local(j,i) = NINT( topo_height(j,i) / dz )
620	ENDDO
621	ENDDO
622
623	DEALLOCATE ( topo_height )
624	!
625	!-- Add cyclic boundaries (additional layers are for calculating
626	!-- flag arrays needed for the multigrid sover)
627	nzb_local(-gls:-1,0:nx) = nzb_local(ny-gls+1:ny,0:nx)
628	nzb_local(ny+1:ny+gls,0:nx) = nzb_local(0:gls-1,0:nx)
629	nzb_local(:,-gls:-1) = nzb_local(:,nx-gls+1:nx)
630	nzb_local(:,nx+1:nx+gls) = nzb_local(:,0:gls-1)
631
632	CASE DEFAULT
633	!
634	!-- The DEFAULT case is reached either if the parameter topography
635	!-- contains a wrong character string or if the user has defined a special
636	!-- case in the user interface. There, the subroutine user_init_grid
637	!-- checks which of these two conditions applies.
638	CALL user_init_grid( gls, nzb_local )
639
640	END SELECT
641	!
642	!-- Determine the maximum level of topography. Furthermore it is used for
643	!-- steering the degradation of order of the applied advection scheme.
644	!-- In case of non-cyclic lateral boundaries, the order of the advection
645	!-- scheme have to be reduced up to nzt (required at the lateral boundaries).
646	nzb_max = MAXVAL( nzb_local )
647	IF ( inflow_l .OR. outflow_l .OR. inflow_r .OR. outflow_r .OR. &
648	inflow_n .OR. outflow_n .OR. inflow_s .OR. outflow_s ) THEN
649	nzb_max = nzt
650	ENDIF
651
652	!
653	!-- Consistency checks and index array initialization are only required for
654	!-- non-flat topography, also the initialization of topography height arrays
655	!-- zu_s_inner and zw_w_inner
656	IF ( TRIM( topography ) /= 'flat' ) THEN
657
658	!
659	!-- Consistency checks
660	IF ( MINVAL( nzb_local ) < 0 .OR. MAXVAL( nzb_local ) > nz + 1 ) THEN
661	WRITE( message_string, * ) 'nzb_local values are outside the', &
662	'model domain', &
663	'&MINVAL( nzb_local ) = ', MINVAL(nzb_local), &
664	'&MAXVAL( nzb_local ) = ', MAXVAL(nzb_local)
665	CALL message( 'init_grid', 'PA0210', 1, 2, 0, 6, 0 )
666	ENDIF
667
668	IF ( bc_lr == 'cyclic' ) THEN
669	IF ( ANY( nzb_local(:,-1) /= nzb_local(:,nx) ) .OR. &
670	ANY( nzb_local(:,0) /= nzb_local(:,nx+1) ) ) THEN
671	message_string = 'nzb_local does not fulfill cyclic' // &
672	' boundary condition in x-direction'
673	CALL message( 'init_grid', 'PA0211', 1, 2, 0, 6, 0 )
674	ENDIF
675	ENDIF
676	IF ( bc_ns == 'cyclic' ) THEN
677	IF ( ANY( nzb_local(-1,:) /= nzb_local(ny,:) ) .OR. &
678	ANY( nzb_local(0,:) /= nzb_local(ny+1,:) ) ) THEN
679	message_string = 'nzb_local does not fulfill cyclic' // &
680	' boundary condition in y-direction'
681	CALL message( 'init_grid', 'PA0212', 1, 2, 0, 6, 0 )
682	ENDIF
683	ENDIF
684
685	IF ( topography_grid_convention == 'cell_edge' ) THEN
686	!
687	!-- The array nzb_local as defined using the 'cell_edge' convention
688	!-- describes the actual total size of topography which is defined at the
689	!-- cell edges where u=0 on the topography walls in x-direction and v=0
690	!-- on the topography walls in y-direction. However, PALM uses individual
691	!-- arrays nzb_u\|v\|w\|s_inner\|outer that are based on nzb_s_inner.
692	!-- Therefore, the extent of topography in nzb_local is now reduced by
693	!-- 1dx at the E topography walls and by 1dy at the N topography walls
694	!-- to form the basis for nzb_s_inner.
695	DO j = -gls, ny + gls
696	DO i = -gls, nx
697	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j,i+1) )
698	ENDDO
699	ENDDO
700	!-- apply cyclic boundary conditions in x-direction
701	!(ist das erforderlich? Ursache von Seung Bus Fehler?)
702	nzb_local(:,nx+1:nx+gls) = nzb_local(:,0:gls-1)
703	DO i = -gls, nx + gls
704	DO j = -gls, ny
705	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j+1,i) )
706	ENDDO
707	ENDDO
708	!-- apply cyclic boundary conditions in y-direction
709	!(ist das erforderlich? Ursache von Seung Bus Fehler?)
710	nzb_local(ny+1:ny+gls,:) = nzb_local(0:gls-1,:)
711	ENDIF
712
713	!
714	!-- Initialize index arrays nzb_s_inner and nzb_w_inner
715	nzb_s_inner = nzb_local(nysg:nyng,nxlg:nxrg)
716	nzb_w_inner = nzb_local(nysg:nyng,nxlg:nxrg)
717
718	!
719	!-- Initialize remaining index arrays:
720	!-- first pre-initialize them with nzb_s_inner...
721	nzb_u_inner = nzb_s_inner
722	nzb_u_outer = nzb_s_inner
723	nzb_v_inner = nzb_s_inner
724	nzb_v_outer = nzb_s_inner
725	nzb_w_outer = nzb_s_inner
726	nzb_s_outer = nzb_s_inner
727
728	!
729	!-- ...then extend pre-initialized arrays in their according directions
730	!-- based on nzb_local using nzb_tmp as a temporary global index array
731
732	!
733	!-- nzb_s_outer:
734	!-- extend nzb_local east-/westwards first, then north-/southwards
735	nzb_tmp = nzb_local(-nbgp:ny+nbgp,-nbgp:nx+nbgp)
736	DO j = -1, ny + 1
737	DO i = 0, nx
738	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i), &
739	nzb_local(j,i+1) )
740	ENDDO
741	ENDDO
742	DO i = nxl, nxr
743	DO j = nys, nyn
744	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
745	nzb_tmp(j+1,i) )
746	ENDDO
747	!
748	!-- non-cyclic boundary conditions (overwritten by call of
749	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
750	IF ( nys == 0 ) THEN
751	j = -1
752	nzb_s_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
753	ENDIF
754	IF ( nys == ny ) THEN
755	j = ny + 1
756	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
757	ENDIF
758	ENDDO
759	!
760	!-- nzb_w_outer:
761	!-- identical to nzb_s_outer
762	nzb_w_outer = nzb_s_outer
763
764	!
765	!-- nzb_u_inner:
766	!-- extend nzb_local rightwards only
767	nzb_tmp = nzb_local(-nbgp:ny+nbgp,-nbgp:nx+nbgp)
768	DO j = -1, ny + 1
769	DO i = 0, nx + 1
770	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i) )
771	ENDDO
772	ENDDO
773	nzb_u_inner = nzb_tmp(nysg:nyng,nxlg:nxrg)
774
775	!
776	!-- nzb_u_outer:
777	!-- extend current nzb_tmp (nzb_u_inner) north-/southwards
778	DO i = nxl, nxr
779	DO j = nys, nyn
780	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
781	nzb_tmp(j+1,i) )
782	ENDDO
783	!
784	!-- non-cyclic boundary conditions (overwritten by call of
785	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
786	IF ( nys == 0 ) THEN
787	j = -1
788	nzb_u_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
789	ENDIF
790	IF ( nys == ny ) THEN
791	j = ny + 1
792	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
793	ENDIF
794	ENDDO
795
796	!
797	!-- nzb_v_inner:
798	!-- extend nzb_local northwards only
799	nzb_tmp = nzb_local(-nbgp:ny+nbgp,-nbgp:nx+nbgp)
800	DO i = -1, nx + 1
801	DO j = 0, ny + 1
802	nzb_tmp(j,i) = MAX( nzb_local(j-1,i), nzb_local(j,i) )
803	ENDDO
804	ENDDO
805	nzb_v_inner = nzb_tmp(nys-nbgp:nyn+nbgp,nxl-nbgp:nxr+nbgp)
806
807	!
808	!-- nzb_v_outer:
809	!-- extend current nzb_tmp (nzb_v_inner) right-/leftwards
810	DO j = nys, nyn
811	DO i = nxl, nxr
812	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i), &
813	nzb_tmp(j,i+1) )
814	ENDDO
815	!
816	!-- non-cyclic boundary conditions (overwritten by call of
817	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
818	IF ( nxl == 0 ) THEN
819	i = -1
820	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i+1), nzb_tmp(j,i) )
821	ENDIF
822	IF ( nxr == nx ) THEN
823	i = nx + 1
824	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i) )
825	ENDIF
826	ENDDO
827	#if ! defined ( __check )
828	!
829	!-- Exchange of lateral boundary values (parallel computers) and cyclic
830	!-- boundary conditions, if applicable.
831	!-- Since nzb_s_inner and nzb_w_inner are derived directly from nzb_local
832	!-- they do not require exchange and are not included here.
833	CALL exchange_horiz_2d_int( nzb_u_inner )
834	CALL exchange_horiz_2d_int( nzb_u_outer )
835	CALL exchange_horiz_2d_int( nzb_v_inner )
836	CALL exchange_horiz_2d_int( nzb_v_outer )
837	CALL exchange_horiz_2d_int( nzb_w_outer )
838	CALL exchange_horiz_2d_int( nzb_s_outer )
839
840	!
841	!-- Allocate and set the arrays containing the topography height
842	IF ( myid == 0 ) THEN
843
844	ALLOCATE( zu_s_inner(0:nx+1,0:ny+1), zw_w_inner(0:nx+1,0:ny+1) )
845
846	DO i = 0, nx + 1
847	DO j = 0, ny + 1
848	zu_s_inner(i,j) = zu(nzb_local(j,i))
849	zw_w_inner(i,j) = zw(nzb_local(j,i))
850	ENDDO
851	ENDDO
852
853	ENDIF
854	#endif
855	ENDIF
856
857	#if ! defined ( __check )
858	!
859	!-- Preliminary: to be removed after completion of the topography code!
860	!-- Set the former default k index arrays nzb_2d
861	nzb_2d = nzb
862
863	!
864	!-- Set the individual index arrays which define the k index from which on
865	!-- the usual finite difference form (which does not use surface fluxes) is
866	!-- applied
867	IF ( prandtl_layer .OR. use_surface_fluxes ) THEN
868	nzb_diff_u = nzb_u_inner + 2
869	nzb_diff_v = nzb_v_inner + 2
870	nzb_diff_s_inner = nzb_s_inner + 2
871	nzb_diff_s_outer = nzb_s_outer + 2
872	ELSE
873	nzb_diff_u = nzb_u_inner + 1
874	nzb_diff_v = nzb_v_inner + 1
875	nzb_diff_s_inner = nzb_s_inner + 1
876	nzb_diff_s_outer = nzb_s_outer + 1
877	ENDIF
878
879	!
880	!-- Calculation of wall switches and factors required by diffusion_u/v.f90 and
881	!-- for limitation of near-wall mixing length l_wall further below
882	corner_nl = 0
883	corner_nr = 0
884	corner_sl = 0
885	corner_sr = 0
886	wall_l = 0
887	wall_n = 0
888	wall_r = 0
889	wall_s = 0
890
891	DO i = nxl, nxr
892	DO j = nys, nyn
893	!
894	!-- u-component
895	IF ( nzb_u_outer(j,i) > nzb_u_outer(j+1,i) ) THEN
896	wall_u(j,i) = 1.0 ! north wall (location of adjacent fluid)
897	fym(j,i) = 0.0
898	fyp(j,i) = 1.0
899	ELSEIF ( nzb_u_outer(j,i) > nzb_u_outer(j-1,i) ) THEN
900	wall_u(j,i) = 1.0 ! south wall (location of adjacent fluid)
901	fym(j,i) = 1.0
902	fyp(j,i) = 0.0
903	ENDIF
904	!
905	!-- v-component
906	IF ( nzb_v_outer(j,i) > nzb_v_outer(j,i+1) ) THEN
907	wall_v(j,i) = 1.0 ! rigth wall (location of adjacent fluid)
908	fxm(j,i) = 0.0
909	fxp(j,i) = 1.0
910	ELSEIF ( nzb_v_outer(j,i) > nzb_v_outer(j,i-1) ) THEN
911	wall_v(j,i) = 1.0 ! left wall (location of adjacent fluid)
912	fxm(j,i) = 1.0
913	fxp(j,i) = 0.0
914	ENDIF
915	!
916	!-- w-component, also used for scalars, separate arrays for shear
917	!-- production of tke
918	IF ( nzb_w_outer(j,i) > nzb_w_outer(j+1,i) ) THEN
919	wall_e_y(j,i) = 1.0 ! north wall (location of adjacent fluid)
920	wall_w_y(j,i) = 1.0
921	fwym(j,i) = 0.0
922	fwyp(j,i) = 1.0
923	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j-1,i) ) THEN
924	wall_e_y(j,i) = -1.0 ! south wall (location of adjacent fluid)
925	wall_w_y(j,i) = 1.0
926	fwym(j,i) = 1.0
927	fwyp(j,i) = 0.0
928	ENDIF
929	IF ( nzb_w_outer(j,i) > nzb_w_outer(j,i+1) ) THEN
930	wall_e_x(j,i) = 1.0 ! right wall (location of adjacent fluid)
931	wall_w_x(j,i) = 1.0
932	fwxm(j,i) = 0.0
933	fwxp(j,i) = 1.0
934	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j,i-1) ) THEN
935	wall_e_x(j,i) = -1.0 ! left wall (location of adjacent fluid)
936	wall_w_x(j,i) = 1.0
937	fwxm(j,i) = 1.0
938	fwxp(j,i) = 0.0
939	ENDIF
940	!
941	!-- Wall and corner locations inside buildings for limitation of
942	!-- near-wall mixing length l_wall
943	IF ( nzb_s_inner(j,i) > nzb_s_inner(j+1,i) ) THEN
944
945	wall_n(j,i) = nzb_s_inner(j+1,i) + 1 ! North wall
946
947	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
948	corner_nl(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northleft corner
949	nzb_s_inner(j,i-1) ) + 1
950	ENDIF
951
952	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
953	corner_nr(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northright corner
954	nzb_s_inner(j,i+1) ) + 1
955	ENDIF
956
957	ENDIF
958
959	IF ( nzb_s_inner(j,i) > nzb_s_inner(j-1,i) ) THEN
960
961	wall_s(j,i) = nzb_s_inner(j-1,i) + 1 ! South wall
962	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
963	corner_sl(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southleft corner
964	nzb_s_inner(j,i-1) ) + 1
965	ENDIF
966
967	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
968	corner_sr(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southright corner
969	nzb_s_inner(j,i+1) ) + 1
970	ENDIF
971
972	ENDIF
973
974	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
975	wall_l(j,i) = nzb_s_inner(j,i-1) + 1 ! Left wall
976	ENDIF
977
978	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
979	wall_r(j,i) = nzb_s_inner(j,i+1) + 1 ! Right wall
980	ENDIF
981
982	ENDDO
983	ENDDO
984
985	!
986	!-- Calculate wall flag arrays for the multigrid method
987	IF ( psolver == 'multigrid' ) THEN
988	!
989	!-- Gridpoint increment of the current level
990	inc = 1
991
992	DO l = maximum_grid_level, 1 , -1
993
994	nxl_l = nxl_mg(l)
995	nxr_l = nxr_mg(l)
996	nys_l = nys_mg(l)
997	nyn_l = nyn_mg(l)
998	nzt_l = nzt_mg(l)
999
1000	!
1001	!-- Assign the flag level to be calculated
1002	SELECT CASE ( l )
1003	CASE ( 1 )
1004	flags => wall_flags_1
1005	CASE ( 2 )
1006	flags => wall_flags_2
1007	CASE ( 3 )
1008	flags => wall_flags_3
1009	CASE ( 4 )
1010	flags => wall_flags_4
1011	CASE ( 5 )
1012	flags => wall_flags_5
1013	CASE ( 6 )
1014	flags => wall_flags_6
1015	CASE ( 7 )
1016	flags => wall_flags_7
1017	CASE ( 8 )
1018	flags => wall_flags_8
1019	CASE ( 9 )
1020	flags => wall_flags_9
1021	CASE ( 10 )
1022	flags => wall_flags_10
1023	END SELECT
1024
1025	!
1026	!-- Depending on the grid level, set the respective bits in case of
1027	!-- neighbouring walls
1028	!-- Bit 0: wall to the bottom
1029	!-- Bit 1: wall to the top (not realized in remaining PALM code so far)
1030	!-- Bit 2: wall to the south
1031	!-- Bit 3: wall to the north
1032	!-- Bit 4: wall to the left
1033	!-- Bit 5: wall to the right
1034	!-- Bit 6: inside building
1035
1036	flags = 0
1037
1038	!
1039	!-- In case of masking method, flags are not set and multigrid method
1040	!-- works like FFT-solver
1041	IF ( .NOT. masking_method ) THEN
1042
1043	DO i = nxl_l-1, nxr_l+1
1044	DO j = nys_l-1, nyn_l+1
1045	DO k = nzb, nzt_l+1
1046
1047	!
1048	!-- Inside/outside building (inside building does not need
1049	!-- further tests for walls)
1050	IF ( kinc <= nzb_local(jinc,i*inc) ) THEN
1051
1052	flags(k,j,i) = IBSET( flags(k,j,i), 6 )
1053
1054	ELSE
1055	!
1056	!-- Bottom wall
1057	IF ( (k-1)inc <= nzb_local(jinc,i*inc) ) THEN
1058	flags(k,j,i) = IBSET( flags(k,j,i), 0 )
1059	ENDIF
1060	!
1061	!-- South wall
1062	IF ( kinc <= nzb_local((j-1)inc,i*inc) ) THEN
1063	flags(k,j,i) = IBSET( flags(k,j,i), 2 )
1064	ENDIF
1065	!
1066	!-- North wall
1067	IF ( kinc <= nzb_local((j+1)inc,i*inc) ) THEN
1068	flags(k,j,i) = IBSET( flags(k,j,i), 3 )
1069	ENDIF
1070	!
1071	!-- Left wall
1072	IF ( kinc <= nzb_local(jinc,(i-1)*inc) ) THEN
1073	flags(k,j,i) = IBSET( flags(k,j,i), 4 )
1074	ENDIF
1075	!
1076	!-- Right wall
1077	IF ( kinc <= nzb_local(jinc,(i+1)*inc) ) THEN
1078	flags(k,j,i) = IBSET( flags(k,j,i), 5 )
1079	ENDIF
1080
1081	ENDIF
1082
1083	ENDDO
1084	ENDDO
1085	ENDDO
1086
1087	ENDIF
1088
1089	!
1090	!-- Test output of flag arrays
1091	! i = nxl_l
1092	! WRITE (9,*) ' '
1093	! WRITE (9,) ' mg level ', l, ' *', mg_switch_to_pe0_level
1094	! WRITE (9,*) ' inc=', inc, ' i =', nxl_l
1095	! WRITE (9,*) ' nxl_l',nxl_l,' nxr_l=',nxr_l,' nys_l=',nys_l,' nyn_l=',nyn_l
1096	! DO k = nzt_l+1, nzb, -1
1097	! WRITE (9,'(194(1X,I2))') ( flags(k,j,i), j = nys_l-1, nyn_l+1 )
1098	! ENDDO
1099
1100	inc = inc * 2
1101
1102	ENDDO
1103
1104	ENDIF
1105	!
1106	!-- Allocate flags needed for masking walls.
1107	ALLOCATE( wall_flags_0(nzb:nzt,nys:nyn,nxl:nxr) )
1108	wall_flags_0 = 0
1109
1110	IF ( scalar_advec == 'ws-scheme' ) THEN
1111	!
1112	!-- Set flags to steer the degradation of the advection scheme in advec_ws
1113	!-- near topography, inflow- and outflow boundaries as well as bottom and
1114	!-- top of model domain. wall_flags_0 remains zero for all non-prognostic
1115	!-- grid points.
1116	DO i = nxl, nxr
1117	DO j = nys, nyn
1118	DO k = nzb_s_inner(j,i)+1, nzt
1119	!
1120	!-- scalar - x-direction
1121	!-- WS1 (0), WS3 (1), WS5 (2)
1122	IF ( k <= nzb_s_inner(j,i+1) .OR. ( ( inflow_l .OR. outflow_l )&
1123	.AND. i == nxl ) .OR. ( ( inflow_r .OR. outflow_r ) &
1124	.AND. i == nxr ) ) THEN
1125	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 0 )
1126	ELSEIF ( k <= nzb_s_inner(j,i+2) .OR. k <= nzb_s_inner(j,i-1) &
1127	.OR. ( ( inflow_r .OR. outflow_r ) .AND. i == nxr-1 ) &
1128	.OR. ( ( inflow_l .OR. outflow_l ) .AND. i == nxlu ) &
1129	) THEN
1130	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 1 )
1131	ELSE
1132	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 2 )
1133	ENDIF
1134	!
1135	!-- scalar - y-direction
1136	!-- WS1 (3), WS3 (4), WS5 (5)
1137	IF ( k <= nzb_s_inner(j+1,i) .OR. ( ( inflow_s .OR. outflow_s )&
1138	.AND. j == nys ) .OR. ( ( inflow_n .OR. outflow_n ) &
1139	.AND. j == nyn ) ) THEN
1140	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 3 )
1141	!-- WS3
1142	ELSEIF ( k <= nzb_s_inner(j+2,i) .OR. k <= nzb_s_inner(j-1,i) &
1143	.OR. ( ( inflow_s .OR. outflow_s ) .AND. j == nysv ) &
1144	.OR. ( ( inflow_n .OR. outflow_n ) .AND. j == nyn-1 ) &
1145	) THEN
1146	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 4 )
1147	!-- WS5
1148	ELSE
1149	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 5 )
1150	ENDIF
1151	!
1152	!-- scalar - z-direction
1153	!-- WS1 (6), WS3 (7), WS5 (8)
1154	flag_set = .FALSE.
1155	IF ( k == nzb_s_inner(j,i) + 1 .OR. k == nzt ) THEN
1156	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 6 )
1157	flag_set = .TRUE.
1158	ELSEIF ( k == nzb_s_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN
1159	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 7 )
1160	flag_set = .TRUE.
1161	ELSEIF ( k > nzb_s_inner(j,i) .AND. .NOT. flag_set ) THEN
1162	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 8 )
1163	ENDIF
1164	ENDDO
1165	ENDDO
1166	ENDDO
1167	ENDIF
1168
1169	IF ( momentum_advec == 'ws-scheme' ) THEN
1170	!
1171	!-- Set wall_flags_0 to steer the degradation of the advection scheme in advec_ws
1172	!-- near topography, inflow- and outflow boundaries as well as bottom and
1173	!-- top of model domain. wall_flags_0 remains zero for all non-prognostic
1174	!-- grid points.
1175	DO i = nxl, nxr
1176	DO j = nys, nyn
1177	DO k = nzb_u_inner(j,i)+1, nzt
1178	!
1179	!-- u component - x-direction
1180	!-- WS1 (9), WS3 (10), WS5 (11)
1181	IF ( k <= nzb_u_inner(j,i+1) &
1182	.OR. ( ( inflow_l .OR. outflow_l ) .AND. i == nxlu ) &
1183	.OR. ( ( inflow_r .OR. outflow_r ) .AND. i == nxr ) &
1184	) THEN
1185	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 9 )
1186	ELSEIF ( k <= nzb_u_inner(j,i+2) .OR. k <= nzb_u_inner(j,i-1) &
1187	.OR. ( ( inflow_r .OR. outflow_r ) .AND. i == nxr-1 )&
1188	.OR. ( ( inflow_l .OR. outflow_l ) .AND. i == nxlu+1)&
1189	) THEN
1190	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 10 )
1191	ELSE
1192	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 11 )
1193	ENDIF
1194
1195	!
1196	!-- u component - y-direction
1197	!-- WS1 (12), WS3 (13), WS5 (14)
1198	IF ( k <= nzb_u_inner(j+1,i) .OR. ( ( inflow_s .OR. outflow_s )&
1199	.AND. j == nys ) .OR. ( ( inflow_n .OR. outflow_n ) &
1200	.AND. j == nyn ) ) THEN
1201	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 12 )
1202	ELSEIF ( k <= nzb_u_inner(j+2,i) .OR. k <= nzb_u_inner(j-1,i) &
1203	.OR. ( ( inflow_s .OR. outflow_s ) .AND. j == nysv ) &
1204	.OR. ( ( inflow_n .OR. outflow_n ) .AND. j == nyn-1 ) &
1205	) THEN
1206	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 13 )
1207	ELSE
1208	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 14 )
1209	ENDIF
1210	!
1211	!-- u component - z-direction
1212	!-- WS1 (15), WS3 (16), WS5 (17)
1213	flag_set = .FALSE.
1214	IF ( k == nzb_u_inner(j,i) + 1 .OR. k == nzt ) THEN
1215	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 15 )
1216	flag_set = .TRUE.
1217	ELSEIF ( k == nzb_u_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN
1218	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 16 )
1219	flag_set = .TRUE.
1220	ELSEIF ( k > nzb_u_inner(j,i) .AND. .NOT. flag_set ) THEN
1221	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 17 )
1222	ENDIF
1223
1224	ENDDO
1225	ENDDO
1226	ENDDO
1227
1228	DO i = nxl, nxr
1229	DO j = nys, nyn
1230	DO k = nzb_v_inner(j,i)+1, nzt
1231	!
1232	!-- v component - x-direction
1233	!-- WS1 (18), WS3 (19), WS5 (20)
1234	IF ( k <= nzb_v_inner(j,i+1) .OR. ( ( inflow_l .OR. outflow_l )&
1235	.AND. i == nxl ) .OR. (( inflow_r .OR. outflow_r ) &
1236	.AND. i == nxr ) ) THEN
1237	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 18 )
1238	!-- WS3
1239	ELSEIF ( k <= nzb_v_inner(j,i+2) .OR. k <= nzb_v_inner(j,i-1) &
1240	.OR. ( ( inflow_r .OR. outflow_r ) .AND. i == nxr-1 ) &
1241	.OR. ( ( inflow_l .OR. outflow_l ) .AND. i == nxlu ) &
1242	) THEN
1243	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 19 )
1244	ELSE
1245	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 20 )
1246	ENDIF
1247	!
1248	!-- v component - y-direction
1249	!-- WS1 (21), WS3 (22), WS5 (23)
1250	IF ( k <= nzb_v_inner(j+1,i) &
1251	.OR. ( ( inflow_s .OR. outflow_s ) .AND. i == nysv ) &
1252	.OR. ( ( inflow_n .OR. outflow_n ) .AND. j == nyn ) &
1253	) THEN
1254	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 21 )
1255	ELSEIF ( k <= nzb_v_inner(j+2,i) .OR. k <= nzb_v_inner(j-1,i) &
1256	.OR. ( ( inflow_s .OR. outflow_s ) .AND. j == nysv+1 )&
1257	.OR. ( ( inflow_n .OR. outflow_n ) .AND. j == nyn-1 )&
1258	) THEN
1259	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 22 )
1260	ELSE
1261	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 23 )
1262	ENDIF
1263	!
1264	!-- v component - z-direction
1265	!-- WS1 (24), WS3 (25), WS5 (26)
1266	flag_set = .FALSE.
1267	IF ( k == nzb_v_inner(j,i) + 1 .OR. k == nzt ) THEN
1268	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 24 )
1269	flag_set = .TRUE.
1270	ELSEIF ( k == nzb_v_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN
1271	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 25 )
1272	flag_set = .TRUE.
1273	ELSEIF ( k > nzb_v_inner(j,i) .AND. .NOT. flag_set ) THEN
1274	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 26 )
1275	ENDIF
1276
1277	ENDDO
1278	ENDDO
1279	ENDDO
1280	DO i = nxl, nxr
1281	DO j = nys, nyn
1282	DO k = nzb_w_inner(j,i), nzt
1283	!
1284	!-- w component - x-direction
1285	!-- WS1 (27), WS3 (28), WS5 (29)
1286	IF ( k <= nzb_w_inner(j,i+1) .OR. ( ( inflow_l .OR. outflow_l )&
1287	.AND. i == nxl ) .OR. ( ( inflow_r .OR. outflow_r ) &
1288	.AND. i == nxr ) ) THEN
1289	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 27 )
1290	ELSEIF ( k <= nzb_w_inner(j,i+2) .OR. k <= nzb_w_inner(j,i-1) &
1291	.OR. ( ( inflow_r .OR. outflow_r ) .AND. i == nxr-1 ) &
1292	.OR. ( ( inflow_l .OR. outflow_l ) .AND. i == nxlu ) &
1293	) THEN
1294	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 28 )
1295	ELSE
1296	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i),29 )
1297	ENDIF
1298	!
1299	!-- w component - y-direction
1300	!-- WS1 (30), WS3 (31), WS5 (32)
1301	IF ( k <= nzb_w_inner(j+1,i) .OR. ( ( inflow_s .OR. outflow_s )&
1302	.AND. j == nys ) .OR. ( ( inflow_n .OR. outflow_n ) &
1303	.AND. j == nyn ) ) THEN
1304	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 30 )
1305	ELSEIF ( k <= nzb_w_inner(j+2,i) .OR. k <= nzb_w_inner(j-1,i) &
1306	.OR. ( ( inflow_s .OR. outflow_s ) .AND. j == nysv ) &
1307	.OR. ( ( inflow_n .OR. outflow_n ) .AND. j == nyn-1 ) &
1308	) THEN
1309	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 31 )
1310	ELSE
1311	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 32 )
1312	ENDIF
1313	!
1314	!-- w component - z-direction
1315	!-- WS1 (33), WS3 (34), WS5 (35)
1316	flag_set = .FALSE.
1317	IF ( k == nzb_w_inner(j,i) .OR. k == nzb_w_inner(j,i) + 1 &
1318	.OR. k == nzt ) THEN
1319	!
1320	!-- Please note, at k == nzb_w_inner(j,i) a flag is explictely
1321	!-- set, although this is not a prognostic level. However,
1322	!-- contrary to the advection of u,v and s this is necessary
1323	!-- because flux_t(nzb_w_inner(j,i)) is used for the tendency
1324	!-- at k == nzb_w_inner(j,i)+1.
1325	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 33 )
1326	flag_set = .TRUE.
1327	ELSEIF ( k == nzb_w_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN
1328	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 34 )
1329	flag_set = .TRUE.
1330	ELSEIF ( k > nzb_w_inner(j,i) .AND. .NOT. flag_set ) THEN
1331	wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 35 )
1332	ENDIF
1333
1334	ENDDO
1335	ENDDO
1336	ENDDO
1337
1338	ENDIF
1339
1340	!
1341	!-- In case of topography: limit near-wall mixing length l_wall further:
1342	!-- Go through all points of the subdomain one by one and look for the closest
1343	!-- surface
1344	IF ( TRIM(topography) /= 'flat' ) THEN
1345	DO i = nxl, nxr
1346	DO j = nys, nyn
1347
1348	nzb_si = nzb_s_inner(j,i)
1349	vi = vertical_influence(nzb_si)
1350
1351	IF ( wall_n(j,i) > 0 ) THEN
1352	!
1353	!-- North wall (y distance)
1354	DO k = wall_n(j,i), nzb_si
1355	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), 0.5 * dy )
1356	ENDDO
1357	!
1358	!-- Above North wall (yz distance)
1359	DO k = nzb_si + 1, nzb_si + vi
1360	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), &
1361	SQRT( 0.25 * dy**2 + &
1362	( zu(k) - zw(nzb_si) )**2 ) )
1363	ENDDO
1364	!
1365	!-- Northleft corner (xy distance)
1366	IF ( corner_nl(j,i) > 0 ) THEN
1367	DO k = corner_nl(j,i), nzb_si
1368	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
1369	0.5 * SQRT( dx2 + dy2 ) )
1370	ENDDO
1371	!
1372	!-- Above Northleft corner (xyz distance)
1373	DO k = nzb_si + 1, nzb_si + vi
1374	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
1375	SQRT( 0.25 * (dx2 + dy2) + &
1376	( zu(k) - zw(nzb_si) )**2 ) )
1377	ENDDO
1378	ENDIF
1379	!
1380	!-- Northright corner (xy distance)
1381	IF ( corner_nr(j,i) > 0 ) THEN
1382	DO k = corner_nr(j,i), nzb_si
1383	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
1384	0.5 * SQRT( dx2 + dy2 ) )
1385	ENDDO
1386	!
1387	!-- Above northright corner (xyz distance)
1388	DO k = nzb_si + 1, nzb_si + vi
1389	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
1390	SQRT( 0.25 * (dx2 + dy2) + &
1391	( zu(k) - zw(nzb_si) )**2 ) )
1392	ENDDO
1393	ENDIF
1394	ENDIF
1395
1396	IF ( wall_s(j,i) > 0 ) THEN
1397	!
1398	!-- South wall (y distance)
1399	DO k = wall_s(j,i), nzb_si
1400	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), 0.5 * dy )
1401	ENDDO
1402	!
1403	!-- Above south wall (yz distance)
1404	DO k = nzb_si + 1, &
1405	nzb_si + vi
1406	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), &
1407	SQRT( 0.25 * dy**2 + &
1408	( zu(k) - zw(nzb_si) )**2 ) )
1409	ENDDO
1410	!
1411	!-- Southleft corner (xy distance)
1412	IF ( corner_sl(j,i) > 0 ) THEN
1413	DO k = corner_sl(j,i), nzb_si
1414	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
1415	0.5 * SQRT( dx2 + dy2 ) )
1416	ENDDO
1417	!
1418	!-- Above southleft corner (xyz distance)
1419	DO k = nzb_si + 1, nzb_si + vi
1420	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
1421	SQRT( 0.25 * (dx2 + dy2) + &
1422	( zu(k) - zw(nzb_si) )**2 ) )
1423	ENDDO
1424	ENDIF
1425	!
1426	!-- Southright corner (xy distance)
1427	IF ( corner_sr(j,i) > 0 ) THEN
1428	DO k = corner_sr(j,i), nzb_si
1429	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
1430	0.5 * SQRT( dx2 + dy2 ) )
1431	ENDDO
1432	!
1433	!-- Above southright corner (xyz distance)
1434	DO k = nzb_si + 1, nzb_si + vi
1435	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
1436	SQRT( 0.25 * (dx2 + dy2) + &
1437	( zu(k) - zw(nzb_si) )**2 ) )
1438	ENDDO
1439	ENDIF
1440
1441	ENDIF
1442
1443	IF ( wall_l(j,i) > 0 ) THEN
1444	!
1445	!-- Left wall (x distance)
1446	DO k = wall_l(j,i), nzb_si
1447	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), 0.5 * dx )
1448	ENDDO
1449	!
1450	!-- Above left wall (xz distance)
1451	DO k = nzb_si + 1, nzb_si + vi
1452	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), &
1453	SQRT( 0.25 * dx**2 + &
1454	( zu(k) - zw(nzb_si) )**2 ) )
1455	ENDDO
1456	ENDIF
1457
1458	IF ( wall_r(j,i) > 0 ) THEN
1459	!
1460	!-- Right wall (x distance)
1461	DO k = wall_r(j,i), nzb_si
1462	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), 0.5 * dx )
1463	ENDDO
1464	!
1465	!-- Above right wall (xz distance)
1466	DO k = nzb_si + 1, nzb_si + vi
1467	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), &
1468	SQRT( 0.25 * dx**2 + &
1469	( zu(k) - zw(nzb_si) )**2 ) )
1470	ENDDO
1471
1472	ENDIF
1473
1474	ENDDO
1475	ENDDO
1476
1477	ENDIF
1478
1479	!
1480	!-- Multiplication with wall_adjustment_factor
1481	l_wall = wall_adjustment_factor * l_wall
1482
1483	!
1484	!-- Set lateral boundary conditions for l_wall
1485	CALL exchange_horiz( l_wall, nbgp )
1486
1487	DEALLOCATE( corner_nl, corner_nr, corner_sl, corner_sr, nzb_local, &
1488	nzb_tmp, vertical_influence, wall_l, wall_n, wall_r, wall_s )
1489
1490	#endif
1491
1492	END SUBROUTINE init_grid

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