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source: palm/trunk/SOURCE/init_grid.f90 @ 1995

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

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