Home

Context Navigation

source: palm/trunk/SOURCE/init_grid.f90 @ 2021

Last change on this file since 2021 was 2021, checked in by suehring, 8 years ago
Bugfix, restore flags for nest boundaries in multigrid solver; bugfix: setting Neumann boundary conditions for topography arrays in case of non-cyclic boundary conditions
Property svn:keywords set to `Id`
File size: 62.5 KB

Rev	Line
[1682]	1	!> @file init_grid.f90
[2000]	2	!------------------------------------------------------------------------------!
[1036]	3	! This file is part of PALM.
	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1036]	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	!
[1818]	17	! Copyright 1997-2016 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[254]	20	! Current revisions:
[1]	21	! -----------------
[2021]	22	! Bugfix: setting Neumann boundary conditions for topography required for
	23	! topography flags in multigrid_noopt solver
[1969]	24	!
	25	! Former revisions:
	26	! -----------------
	27	! $Id: init_grid.f90 2021 2016-10-07 14:08:57Z suehring $
	28	!
[2001]	29	! 2000 2016-08-20 18:09:15Z knoop
	30	! Forced header and separation lines into 80 columns
	31	!
[1995]	32	! 1994 2016-08-15 09:52:21Z suehring
	33	! Bugfix in definition of generic topography
	34	!
[1983]	35	! 1982 2016-08-01 11:04:48Z suehring
	36	! Bugfix concering consistency check for topography
	37	!
[1969]	38	! 1968 2016-07-18 12:01:49Z suehring
[1968]	39	! Changed: PE-wise reading of topography file in order to avoid global definition
	40	! of arrays nzb_local and nzb_tmp. Thereby, topography definition for single
	41	! buildings and street canyons has changed, as well as flag setting for
	42	! multigrid scheme.
	43	!
	44	! Bugfix in checking l_grid anisotropy.
	45	! Simplify initial computation of lwall and vertical_influence, i.e. remove
	46	! nzb_s_inner as it is still zero at this point.
[1932]	47	!
[1943]	48	! 1942 2016-06-14 12:18:18Z suehring
	49	! Topography filter implemented to fill holes resolved by only one grid point.
	50	! Initialization of flags for ws-scheme moved to advec_ws.
	51	!
[1932]	52	! 1931 2016-06-10 12:06:59Z suehring
	53	! Rename multigrid into multigrid_noopt and multigrid_fast into multigrid
	54	!
[1911]	55	! 1910 2016-05-26 06:49:46Z raasch
	56	! Bugfix: if topography is read from file, Neumann conditions are used for the
	57	! nzb_local array (instead of cyclic conditions) in case that non-cyclic
	58	! boundary conditions are switched on for the run
	59	!
[1903]	60	! 1902 2016-05-09 11:18:56Z suehring
[1910]	61	! Set topography flags for multigrid solver only (not for multigrid_fast)
[1903]	62	!
[1887]	63	! 1886 2016-04-21 11:20:47Z suehring
	64	! Bugfix: setting advection flags near walls
	65	! reformulated index values for nzb_v_inner
	66	! variable discriptions added in declaration block
	67	!
[1846]	68	! 1845 2016-04-08 08:29:13Z raasch
	69	! nzb_2d removed
	70	!
[1805]	71	! 1804 2016-04-05 16:30:18Z maronga
	72	! Removed code for parameter file check (__check)
	73	!
[1780]	74	! 1779 2016-03-03 08:01:28Z raasch
	75	! coupling_char is trimmed at every place it occurs, because it can have
	76	! different length now
	77	!
[1763]	78	! 1762 2016-02-25 12:31:13Z hellstea
	79	! Introduction of nested domain feature
	80	!
[1744]	81	! 1743 2016-01-13 10:23:51Z raasch
	82	! Bugfix for calculation of nzb_s_outer and nzb_u_outer at north boundary of
	83	! total domain
	84	!
[1692]	85	! 1691 2015-10-26 16:17:44Z maronga
	86	! Renamed prandtl_layer to constant_flux_layer.
	87	!
[1683]	88	! 1682 2015-10-07 23:56:08Z knoop
	89	! Code annotations made doxygen readable
	90	!
[1678]	91	! 1677 2015-10-02 13:25:23Z boeske
	92	! Bugfix: Ghost points are included in wall_flags_0 and wall_flags_00
	93	!
[1676]	94	! 1675 2015-10-02 08:28:59Z gronemeier
	95	! Bugfix: Definition of topography grid levels
	96	!
[1662]	97	! 1660 2015-09-21 08:15:16Z gronemeier
	98	! Bugfix: Definition of topography grid levels if vertical grid stretching
	99	! starts below the maximum topography height.
	100	!
[1581]	101	! 1580 2015-04-10 13:43:49Z suehring
	102	! Bugfix: setting flags for 5th order scheme near buildings
	103	!
[1576]	104	! 1575 2015-03-27 09:56:27Z raasch
	105	! adjustments for psolver-queries
	106	!
[1558]	107	! 1557 2015-03-05 16:43:04Z suehring
	108	! Adjustment for monotoinic limiter
	109	!
[1419]	110	! 1418 2014-06-06 13:05:08Z fricke
	111	! Bugfix: Change if-condition for stretched grid in the ocean, with the old
	112	! condition and a negative value for dz_stretch_level the condition
	113	! was always true for the whole model domain
	114	!
[1410]	115	! 1409 2014-05-23 12:11:32Z suehring
	116	! Bugfix: set wall_flags_0 at inflow and outflow boundary also for i <= nxlu
	117	! j <= nysv
	118	!
[1354]	119	! 1353 2014-04-08 15:21:23Z heinze
	120	! REAL constants provided with KIND-attribute
	121	!
[1323]	122	! 1322 2014-03-20 16:38:49Z raasch
	123	! REAL constants defined as wp-kind
	124	!
[1321]	125	! 1320 2014-03-20 08:40:49Z raasch
[1320]	126	! ONLY-attribute added to USE-statements,
	127	! kind-parameters added to all INTEGER and REAL declaration statements,
	128	! kinds are defined in new module kinds,
	129	! revision history before 2012 removed,
	130	! comment fields (!:) to be used for variable explanations added to
	131	! all variable declaration statements
[1321]	132	!
[1222]	133	! 1221 2013-09-10 08:59:13Z raasch
	134	! wall_flags_00 introduced to hold bits 32-63,
	135	! additional 3D-flag arrays for replacing the 2D-index array nzb_s_inner in
	136	! loops optimized for openACC (pres + flow_statistics)
	137	!
[1093]	138	! 1092 2013-02-02 11:24:22Z raasch
	139	! unused variables removed
	140	!
[1070]	141	! 1069 2012-11-28 16:18:43Z maronga
[1779]	142	! bugfix: added coupling_char to TOPOGRAPHY_DATA to allow topography in the
	143	! ocean model in case of coupled runs
[1070]	144	!
[1037]	145	! 1036 2012-10-22 13:43:42Z raasch
	146	! code put under GPL (PALM 3.9)
	147	!
[1017]	148	! 1015 2012-09-27 09:23:24Z raasch
	149	! lower index for calculating wall_flags_0 set to nzb_w_inner instead of
	150	! nzb_w_inner+1
	151	!
[997]	152	! 996 2012-09-07 10:41:47Z raasch
	153	! little reformatting
	154	!
[979]	155	! 978 2012-08-09 08:28:32Z fricke
	156	! Bugfix: nzb_max is set to nzt at non-cyclic lateral boundaries
	157	! Bugfix: Set wall_flags_0 for inflow boundary
	158	!
[928]	159	! 927 2012-06-06 19:15:04Z raasch
	160	! Wall flags are not set for multigrid method in case of masking method
	161	!
[865]	162	! 864 2012-03-27 15:10:33Z gryschka
[927]	163	! In case of ocean and Dirichlet bottom bc for u and v dzu_mg and ddzu_pres
	164	! were not correctly defined for k=1.
[865]	165	!
[863]	166	! 861 2012-03-26 14:18:34Z suehring
[861]	167	! Set wall_flags_0. The array is needed for degradation in ws-scheme near walls,
	168	! inflow and outflow boundaries as well as near the bottom and the top of the
[863]	169	! model domain.!
[861]	170	! Initialization of nzb_s_inner and nzb_w_inner.
	171	! gls has to be at least nbgp to do not exceed the array bounds of nzb_local
	172	! while setting wall_flags_0
	173	!
[844]	174	! 843 2012-02-29 15:16:21Z gryschka
	175	! In case of ocean and dirichlet bc for u and v at the bottom
	176	! the first u-level ist defined at same height as the first w-level
	177	!
[819]	178	! 818 2012-02-08 16:11:23Z maronga
	179	! Bugfix: topo_height is only required if topography is used. It is thus now
	180	! allocated in the topography branch
	181	!
[810]	182	! 809 2012-01-30 13:32:58Z maronga
	183	! Bugfix: replaced .AND. and .NOT. with && and ! in the preprocessor directives
	184	!
[808]	185	! 807 2012-01-25 11:53:51Z maronga
	186	! New cpp directive "__check" implemented which is used by check_namelist_files
	187	!
[1]	188	! Revision 1.1 1997/08/11 06:17:45 raasch
	189	! Initial revision (Testversion)
	190	!
	191	!
	192	! Description:
	193	! ------------
[1682]	194	!> Creating grid depending constants
[1]	195	!------------------------------------------------------------------------------!
[1682]	196	SUBROUTINE init_grid
	197
[1942]	198	USE advec_ws, &
	199	ONLY: ws_init_flags
[1]	200
[1320]	201	USE arrays_3d, &
	202	ONLY: dd2zu, ddzu, ddzu_pres, ddzw, dzu, dzu_mg, dzw, dzw_mg, f1_mg, &
	203	f2_mg, f3_mg, l_grid, l_wall, zu, zw
	204
[1353]	205	USE control_parameters, &
[1910]	206	ONLY: bc_lr_cyc, bc_ns_cyc, building_height, building_length_x, &
[1320]	207	building_length_y, building_wall_left, building_wall_south, &
	208	canyon_height, canyon_wall_left, canyon_wall_south, &
[1691]	209	canyon_width_x, canyon_width_y, constant_flux_layer, &
	210	coupling_char, dp_level_ind_b, dz, dz_max, dz_stretch_factor, &
[1968]	211	dz_stretch_level, dz_stretch_level_index, grid_level, ibc_uv_b, &
	212	io_blocks, io_group, inflow_l, inflow_n, inflow_r, inflow_s, &
[1691]	213	masking_method, maximum_grid_level, message_string, &
[2021]	214	momentum_advec, nest_domain, nest_bound_l, nest_bound_n, &
	215	nest_bound_r, nest_bound_s, ocean, outflow_l, outflow_n, &
[1762]	216	outflow_r, outflow_s, psolver, scalar_advec, topography, &
[1691]	217	topography_grid_convention, use_surface_fluxes, use_top_fluxes, &
[2021]	218	wall_adjustment_factor
	219
[1320]	220	USE grid_variables, &
	221	ONLY: ddx, ddx2, ddx2_mg, ddy, ddy2, ddy2_mg, dx, dx2, dy, dy2, fwxm, &
	222	fwxp, fwym, fwyp, fxm, fxp, fym, fyp, wall_e_x, wall_e_y, &
	223	wall_u, wall_v, wall_w_x, wall_w_y, zu_s_inner, zw_w_inner
	224
	225	USE indices, &
[1942]	226	ONLY: flags, nbgp, nx, nxl, nxlg, nxl_mg, nxr, nxrg, nxr_mg, &
	227	ny, nyn, nyng, nyn_mg, nys, nys_mg, nysg, nz, nzb, &
[1845]	228	nzb_diff, nzb_diff_s_inner, nzb_diff_s_outer, nzb_diff_u, &
	229	nzb_diff_v, nzb_max, nzb_s_inner, nzb_s_outer, nzb_u_inner, &
	230	nzb_u_outer, nzb_v_inner, nzb_v_outer, nzb_w_inner, &
	231	nzb_w_outer, nzt, nzt_diff, nzt_mg, rflags_invers, &
[1320]	232	rflags_s_inner, wall_flags_0, wall_flags_00, wall_flags_1, &
	233	wall_flags_10, wall_flags_2, wall_flags_3, wall_flags_4, &
	234	wall_flags_5, wall_flags_6, wall_flags_7, wall_flags_8, &
	235	wall_flags_9
	236
	237	USE kinds
	238
[1]	239	USE pegrid
	240
	241	IMPLICIT NONE
	242
[1968]	243	INTEGER(iwp) :: bh !< temporary vertical index of building height
	244	INTEGER(iwp) :: blx !< grid point number of building size along x
	245	INTEGER(iwp) :: bly !< grid point number of building size along y
	246	INTEGER(iwp) :: bxl !< index for left building wall
	247	INTEGER(iwp) :: bxr !< index for right building wall
	248	INTEGER(iwp) :: byn !< index for north building wall
	249	INTEGER(iwp) :: bys !< index for south building wall
	250	INTEGER(iwp) :: ch !< temporary vertical index for canyon height
	251	INTEGER(iwp) :: cwx !< grid point number of canyon size along x
	252	INTEGER(iwp) :: cwy !< grid point number of canyon size along y
	253	INTEGER(iwp) :: cxl !< index for left canyon wall
	254	INTEGER(iwp) :: cxr !< index for right canyon wall
	255	INTEGER(iwp) :: cyn !< index for north canyon wall
	256	INTEGER(iwp) :: cys !< index for south canyon wall
	257	INTEGER(iwp) :: i !< index variable along x
	258	INTEGER(iwp) :: ii !< loop variable for reading topography file
	259	INTEGER(iwp) :: inc !< incremental parameter for coarsening grid level
	260	INTEGER(iwp) :: j !< index variable along y
	261	INTEGER(iwp) :: k !< index variable along z
	262	INTEGER(iwp) :: l !< loop variable
	263	INTEGER(iwp) :: nxl_l !< index of left PE boundary for multigrid level
	264	INTEGER(iwp) :: nxr_l !< index of right PE boundary for multigrid level
	265	INTEGER(iwp) :: nyn_l !< index of north PE boundary for multigrid level
	266	INTEGER(iwp) :: nys_l !< index of south PE boundary for multigrid level
	267	INTEGER(iwp) :: nzb_local_max !< vertical grid index of maximum topography height
	268	INTEGER(iwp) :: nzb_local_min !< vertical grid index of minimum topography height
	269	INTEGER(iwp) :: nzb_si !< dummy index for local nzb_s_inner
	270	INTEGER(iwp) :: nzt_l !< index of top PE boundary for multigrid level
	271	INTEGER(iwp) :: num_hole !< number of holes (in topography) resolved by only one grid point
	272	INTEGER(iwp) :: num_hole_l !< number of holes (in topography) resolved by only one grid point on local PE
	273	INTEGER(iwp) :: num_wall !< number of surrounding vertical walls for a single grid point
	274	INTEGER(iwp) :: skip_n_rows !< counting variable to skip rows while reading topography file
	275	INTEGER(iwp) :: vi !< dummy for vertical influence
[1]	276
[1886]	277	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: &
[1931]	278	vertical_influence !< number of vertical grid points above obstacle where adjustment of near-wall mixing length is required
[1886]	279
[1968]	280	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_nl !< index of north-left corner location to limit near-wall mixing length
	281	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_nr !< north-right
	282	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_sl !< south-left
	283	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: corner_sr !< south-right
	284	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_local !< index for topography top at cell-center
	285	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_tmp !< dummy to calculate topography indices on u- and v-grid
	286	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_l !< distance to adjacent left-facing wall
	287	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_n !< north-facing
	288	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_r !< right-facing
	289	INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: wall_s !< right-facing
[1]	290
[1968]	291	REAL(wp) :: dum !< dummy variable to skip columns while reading topography file
[1886]	292	REAL(wp) :: dx_l !< grid spacing along x on different multigrid level
	293	REAL(wp) :: dy_l !< grid spacing along y on different multigrid level
	294	REAL(wp) :: dz_stretched !< stretched vertical grid spacing
[861]	295
[1968]	296	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: topo_height !< input variable for topography height
	297	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zu_s_inner_l !< dummy array on global scale to write topography output array
	298	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zw_w_inner_l !< dummy array on global scale to write topography output array
[1]	299
[667]	300
[1]	301	!
[709]	302	!-- Calculation of horizontal array bounds including ghost layers
[667]	303	nxlg = nxl - nbgp
	304	nxrg = nxr + nbgp
	305	nysg = nys - nbgp
	306	nyng = nyn + nbgp
[709]	307
[667]	308	!
[1]	309	!-- Allocate grid arrays
[1353]	310	ALLOCATE( ddzu(1:nzt+1), ddzw(1:nzt+1), dd2zu(1:nzt), dzu(1:nzt+1), &
[667]	311	dzw(1:nzt+1), l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1) )
[1]	312
	313	!
	314	!-- Compute height of u-levels from constant grid length and dz stretch factors
[1353]	315	IF ( dz == -1.0_wp ) THEN
[254]	316	message_string = 'missing dz'
	317	CALL message( 'init_grid', 'PA0200', 1, 2, 0, 6, 0 )
[1353]	318	ELSEIF ( dz <= 0.0_wp ) THEN
[254]	319	WRITE( message_string, * ) 'dz=',dz,' <= 0.0'
	320	CALL message( 'init_grid', 'PA0201', 1, 2, 0, 6, 0 )
[1]	321	ENDIF
[94]	322
[1]	323	!
[94]	324	!-- Define the vertical grid levels
	325	IF ( .NOT. ocean ) THEN
	326	!
	327	!-- Grid for atmosphere with surface at z=0 (k=0, w-grid).
[843]	328	!-- The second u-level (k=1) corresponds to the top of the
[94]	329	!-- Prandtl-layer.
[667]	330
	331	IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN
[1353]	332	zu(0) = 0.0_wp
	333	! zu(0) = - dz * 0.5_wp
[667]	334	ELSE
[1353]	335	zu(0) = - dz * 0.5_wp
[667]	336	ENDIF
[1353]	337	zu(1) = dz * 0.5_wp
[1]	338
[94]	339	dz_stretch_level_index = nzt+1
	340	dz_stretched = dz
	341	DO k = 2, nzt+1
	342	IF ( dz_stretch_level <= zu(k-1) .AND. dz_stretched < dz_max ) THEN
	343	dz_stretched = dz_stretched * dz_stretch_factor
	344	dz_stretched = MIN( dz_stretched, dz_max )
	345	IF ( dz_stretch_level_index == nzt+1 ) dz_stretch_level_index = k-1
	346	ENDIF
	347	zu(k) = zu(k-1) + dz_stretched
	348	ENDDO
[1]	349
	350	!
[94]	351	!-- Compute the w-levels. They are always staggered half-way between the
[843]	352	!-- corresponding u-levels. In case of dirichlet bc for u and v at the
	353	!-- ground the first u- and w-level (k=0) are defined at same height (z=0).
	354	!-- The top w-level is extrapolated linearly.
[1353]	355	zw(0) = 0.0_wp
[94]	356	DO k = 1, nzt
[1353]	357	zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp
[94]	358	ENDDO
[1353]	359	zw(nzt+1) = zw(nzt) + 2.0_wp * ( zu(nzt+1) - zw(nzt) )
[1]	360
[94]	361	ELSE
[1]	362	!
[843]	363	!-- Grid for ocean with free water surface is at k=nzt (w-grid).
	364	!-- In case of neumann bc at the ground the first first u-level (k=0) lies
	365	!-- below the first w-level (k=0). In case of dirichlet bc the first u- and
	366	!-- w-level are defined at same height, but staggered from the second level.
	367	!-- The second u-level (k=1) corresponds to the top of the Prandtl-layer.
[1353]	368	zu(nzt+1) = dz * 0.5_wp
	369	zu(nzt) = - dz * 0.5_wp
[94]	370
	371	dz_stretch_level_index = 0
	372	dz_stretched = dz
	373	DO k = nzt-1, 0, -1
[1418]	374	!
	375	!-- The default value of dz_stretch_level is positive, thus the first
	376	!-- condition is always true. Hence, the second condition is necessary.
	377	IF ( dz_stretch_level >= zu(k+1) .AND. dz_stretch_level <= 0.0 &
	378	.AND. dz_stretched < dz_max ) THEN
[94]	379	dz_stretched = dz_stretched * dz_stretch_factor
	380	dz_stretched = MIN( dz_stretched, dz_max )
	381	IF ( dz_stretch_level_index == 0 ) dz_stretch_level_index = k+1
	382	ENDIF
	383	zu(k) = zu(k+1) - dz_stretched
	384	ENDDO
	385
	386	!
	387	!-- Compute the w-levels. They are always staggered half-way between the
[843]	388	!-- corresponding u-levels, except in case of dirichlet bc for u and v
	389	!-- at the ground. In this case the first u- and w-level are defined at
	390	!-- same height. The top w-level (nzt+1) is not used but set for
	391	!-- consistency, since w and all scalar variables are defined up tp nzt+1.
[94]	392	zw(nzt+1) = dz
[1353]	393	zw(nzt) = 0.0_wp
[94]	394	DO k = 0, nzt
[1353]	395	zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp
[94]	396	ENDDO
	397
[843]	398	!
	399	!-- In case of dirichlet bc for u and v the first u- and w-level are defined
	400	!-- at same height.
	401	IF ( ibc_uv_b == 0 ) THEN
	402	zu(0) = zw(0)
	403	ENDIF
	404
[94]	405	ENDIF
	406
	407	!
[1]	408	!-- Compute grid lengths.
	409	DO k = 1, nzt+1
	410	dzu(k) = zu(k) - zu(k-1)
[1353]	411	ddzu(k) = 1.0_wp / dzu(k)
[1]	412	dzw(k) = zw(k) - zw(k-1)
[1353]	413	ddzw(k) = 1.0_wp / dzw(k)
[1]	414	ENDDO
	415
	416	DO k = 1, nzt
[1353]	417	dd2zu(k) = 1.0_wp / ( dzu(k) + dzu(k+1) )
[1]	418	ENDDO
[667]	419
	420	!
[709]	421	!-- The FFT- SOR-pressure solvers assume grid spacings of a staggered grid
	422	!-- everywhere. For the actual grid, the grid spacing at the lowest level
	423	!-- is only dz/2, but should be dz. Therefore, an additional array
	424	!-- containing with appropriate grid information is created for these
	425	!-- solvers.
[1575]	426	IF ( psolver(1:9) /= 'multigrid' ) THEN
[667]	427	ALLOCATE( ddzu_pres(1:nzt+1) )
	428	ddzu_pres = ddzu
[864]	429	ddzu_pres(1) = ddzu_pres(2) ! change for lowest level
[667]	430	ENDIF
[1]	431
	432	!
	433	!-- In case of multigrid method, compute grid lengths and grid factors for the
	434	!-- grid levels
[1575]	435	IF ( psolver(1:9) == 'multigrid' ) THEN
[1]	436
	437	ALLOCATE( ddx2_mg(maximum_grid_level), ddy2_mg(maximum_grid_level), &
	438	dzu_mg(nzb+1:nzt+1,maximum_grid_level), &
	439	dzw_mg(nzb+1:nzt+1,maximum_grid_level), &
	440	f1_mg(nzb+1:nzt,maximum_grid_level), &
	441	f2_mg(nzb+1:nzt,maximum_grid_level), &
	442	f3_mg(nzb+1:nzt,maximum_grid_level) )
	443
	444	dzu_mg(:,maximum_grid_level) = dzu
[667]	445	!
[864]	446	!-- Next line to ensure an equally spaced grid.
	447	dzu_mg(1,maximum_grid_level) = dzu(2)
[709]	448
[1]	449	dzw_mg(:,maximum_grid_level) = dzw
	450	nzt_l = nzt
	451	DO l = maximum_grid_level-1, 1, -1
[1353]	452	dzu_mg(nzb+1,l) = 2.0_wp * dzu_mg(nzb+1,l+1)
	453	dzw_mg(nzb+1,l) = 2.0_wp * dzw_mg(nzb+1,l+1)
[1]	454	nzt_l = nzt_l / 2
	455	DO k = 2, nzt_l+1
	456	dzu_mg(k,l) = dzu_mg(2k-2,l+1) + dzu_mg(2k-1,l+1)
	457	dzw_mg(k,l) = dzw_mg(2k-2,l+1) + dzw_mg(2k-1,l+1)
	458	ENDDO
	459	ENDDO
	460
	461	nzt_l = nzt
	462	dx_l = dx
	463	dy_l = dy
	464	DO l = maximum_grid_level, 1, -1
[1353]	465	ddx2_mg(l) = 1.0_wp / dx_l**2
	466	ddy2_mg(l) = 1.0_wp / dy_l**2
[1]	467	DO k = nzb+1, nzt_l
[1353]	468	f2_mg(k,l) = 1.0_wp / ( dzu_mg(k+1,l) * dzw_mg(k,l) )
	469	f3_mg(k,l) = 1.0_wp / ( dzu_mg(k,l) * dzw_mg(k,l) )
	470	f1_mg(k,l) = 2.0_wp * ( ddx2_mg(l) + ddy2_mg(l) ) + &
[1]	471	f2_mg(k,l) + f3_mg(k,l)
	472	ENDDO
	473	nzt_l = nzt_l / 2
[1353]	474	dx_l = dx_l * 2.0_wp
	475	dy_l = dy_l * 2.0_wp
[1]	476	ENDDO
	477
	478	ENDIF
	479
	480	!
	481	!-- Compute the reciprocal values of the horizontal grid lengths.
[1353]	482	ddx = 1.0_wp / dx
	483	ddy = 1.0_wp / dy
[1]	484	dx2 = dx * dx
	485	dy2 = dy * dy
[1353]	486	ddx2 = 1.0_wp / dx2
	487	ddy2 = 1.0_wp / dy2
[1]	488
	489	!
	490	!-- Compute the grid-dependent mixing length.
	491	DO k = 1, nzt
[1322]	492	l_grid(k) = ( dx * dy * dzw(k) )**0.33333333333333_wp
[1]	493	ENDDO
	494
	495	!
	496	!-- Allocate outer and inner index arrays for topography and set
[114]	497	!-- defaults.
[667]	498
[114]	499	ALLOCATE( corner_nl(nys:nyn,nxl:nxr), corner_nr(nys:nyn,nxl:nxr), &
	500	corner_sl(nys:nyn,nxl:nxr), corner_sr(nys:nyn,nxl:nxr), &
	501	wall_l(nys:nyn,nxl:nxr), wall_n(nys:nyn,nxl:nxr), &
[1968]	502	wall_r(nys:nyn,nxl:nxr), wall_s(nys:nyn,nxl:nxr) )
	503
[667]	504	ALLOCATE( fwxm(nysg:nyng,nxlg:nxrg), fwxp(nysg:nyng,nxlg:nxrg), &
	505	fwym(nysg:nyng,nxlg:nxrg), fwyp(nysg:nyng,nxlg:nxrg), &
	506	fxm(nysg:nyng,nxlg:nxrg), fxp(nysg:nyng,nxlg:nxrg), &
	507	fym(nysg:nyng,nxlg:nxrg), fyp(nysg:nyng,nxlg:nxrg), &
	508	nzb_s_inner(nysg:nyng,nxlg:nxrg), &
	509	nzb_s_outer(nysg:nyng,nxlg:nxrg), &
	510	nzb_u_inner(nysg:nyng,nxlg:nxrg), &
	511	nzb_u_outer(nysg:nyng,nxlg:nxrg), &
	512	nzb_v_inner(nysg:nyng,nxlg:nxrg), &
	513	nzb_v_outer(nysg:nyng,nxlg:nxrg), &
	514	nzb_w_inner(nysg:nyng,nxlg:nxrg), &
	515	nzb_w_outer(nysg:nyng,nxlg:nxrg), &
	516	nzb_diff_s_inner(nysg:nyng,nxlg:nxrg), &
	517	nzb_diff_s_outer(nysg:nyng,nxlg:nxrg), &
	518	nzb_diff_u(nysg:nyng,nxlg:nxrg), &
	519	nzb_diff_v(nysg:nyng,nxlg:nxrg), &
[1968]	520	nzb_local(nysg:nyng,nxlg:nxrg), &
	521	nzb_tmp(nysg:nyng,nxlg:nxrg), &
[1221]	522	rflags_s_inner(nzb:nzt+2,nysg:nyng,nxlg:nxrg), &
	523	rflags_invers(nysg:nyng,nxlg:nxrg,nzb:nzt+2), &
[667]	524	wall_e_x(nysg:nyng,nxlg:nxrg), &
	525	wall_e_y(nysg:nyng,nxlg:nxrg), &
	526	wall_u(nysg:nyng,nxlg:nxrg), &
	527	wall_v(nysg:nyng,nxlg:nxrg), &
	528	wall_w_x(nysg:nyng,nxlg:nxrg), &
	529	wall_w_y(nysg:nyng,nxlg:nxrg) )
[1]	530
	531
[667]	532
	533	ALLOCATE( l_wall(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
	534
[818]	535
[1]	536	nzb_s_inner = nzb; nzb_s_outer = nzb
	537	nzb_u_inner = nzb; nzb_u_outer = nzb
	538	nzb_v_inner = nzb; nzb_v_outer = nzb
	539	nzb_w_inner = nzb; nzb_w_outer = nzb
	540
[1353]	541	rflags_s_inner = 1.0_wp
	542	rflags_invers = 1.0_wp
[1221]	543
[1]	544	!
[19]	545	!-- Define vertical gridpoint from (or to) which on the usual finite difference
[1]	546	!-- form (which does not use surface fluxes) is applied
[1691]	547	IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN
[1]	548	nzb_diff = nzb + 2
	549	ELSE
	550	nzb_diff = nzb + 1
	551	ENDIF
[19]	552	IF ( use_top_fluxes ) THEN
	553	nzt_diff = nzt - 1
	554	ELSE
	555	nzt_diff = nzt
	556	ENDIF
[1]	557
	558	nzb_diff_s_inner = nzb_diff; nzb_diff_s_outer = nzb_diff
	559	nzb_diff_u = nzb_diff; nzb_diff_v = nzb_diff
	560
[1353]	561	wall_e_x = 0.0_wp; wall_e_y = 0.0_wp; wall_u = 0.0_wp; wall_v = 0.0_wp
	562	wall_w_x = 0.0_wp; wall_w_y = 0.0_wp
	563	fwxp = 1.0_wp; fwxm = 1.0_wp; fwyp = 1.0_wp; fwym = 1.0_wp
	564	fxp = 1.0_wp; fxm = 1.0_wp; fyp = 1.0_wp; fym = 1.0_wp
[1]	565
	566	!
	567	!-- Initialize near-wall mixing length l_wall only in the vertical direction
	568	!-- for the moment,
	569	!-- multiplication with wall_adjustment_factor near the end of this routine
	570	l_wall(nzb,:,:) = l_grid(1)
	571	DO k = nzb+1, nzt
	572	l_wall(k,:,:) = l_grid(k)
	573	ENDDO
	574	l_wall(nzt+1,:,:) = l_grid(nzt)
	575
	576	ALLOCATE ( vertical_influence(nzb:nzt) )
	577	DO k = 1, nzt
	578	vertical_influence(k) = MIN ( INT( l_grid(k) / &
[1353]	579	( wall_adjustment_factor * dzw(k) ) + 0.5_wp ), nzt - k )
[1]	580	ENDDO
	581
[1968]	582	DO k = 1, nzt
[1353]	583	IF ( l_grid(k) > 1.5_wp * dx * wall_adjustment_factor .OR. &
	584	l_grid(k) > 1.5_wp * dy * wall_adjustment_factor ) THEN
[254]	585	WRITE( message_string, * ) 'grid anisotropy exceeds ', &
	586	'threshold given by only local', &
	587	' &horizontal reduction of near_wall ', &
	588	'mixing length l_wall', &
	589	' &starting from height level k = ', k, '.'
	590	CALL message( 'init_grid', 'PA0202', 0, 1, 0, 6, 0 )
[1]	591	EXIT
	592	ENDIF
	593	ENDDO
	594	vertical_influence(0) = vertical_influence(1)
	595
[1968]	596	DO k = nzb + 1, nzb + vertical_influence(nzb)
	597	l_wall(k,:,:) = zu(k) - zw(nzb)
[1]	598	ENDDO
	599
	600	!
	601	!-- Set outer and inner index arrays for non-flat topography.
	602	!-- Here consistency checks concerning domain size and periodicity are
	603	!-- necessary.
	604	!-- Within this SELECT CASE structure only nzb_local is initialized
	605	!-- individually depending on the chosen topography type, all other index
	606	!-- arrays are initialized further below.
	607	SELECT CASE ( TRIM( topography ) )
	608
	609	CASE ( 'flat' )
	610	!
[555]	611	!-- nzb_local is required for the multigrid solver
	612	nzb_local = 0
[1]	613
	614	CASE ( 'single_building' )
	615	!
	616	!-- Single rectangular building, by default centered in the middle of the
	617	!-- total domain
	618	blx = NINT( building_length_x / dx )
	619	bly = NINT( building_length_y / dy )
[1675]	620	bh = MINLOC( ABS( zw - building_height ), 1 ) - 1
	621	IF ( ABS( zw(bh ) - building_height ) == &
	622	ABS( zw(bh+1) - building_height ) ) bh = bh + 1
[1]	623
[1322]	624	IF ( building_wall_left == 9999999.9_wp ) THEN
[1]	625	building_wall_left = ( nx + 1 - blx ) / 2 * dx
	626	ENDIF
	627	bxl = NINT( building_wall_left / dx )
	628	bxr = bxl + blx
	629
[1322]	630	IF ( building_wall_south == 9999999.9_wp ) THEN
[1]	631	building_wall_south = ( ny + 1 - bly ) / 2 * dy
	632	ENDIF
	633	bys = NINT( building_wall_south / dy )
	634	byn = bys + bly
	635
	636	!
	637	!-- Building size has to meet some requirements
	638	IF ( ( bxl < 1 ) .OR. ( bxr > nx-1 ) .OR. ( bxr < bxl+3 ) .OR. &
	639	( bys < 1 ) .OR. ( byn > ny-1 ) .OR. ( byn < bys+3 ) ) THEN
[274]	640	WRITE( message_string, * ) 'inconsistent building parameters:', &
	641	'& bxl=', bxl, 'bxr=', bxr, 'bys=', bys, &
	642	'byn=', byn, 'nx=', nx, 'ny=', ny
[254]	643	CALL message( 'init_grid', 'PA0203', 1, 2, 0, 6, 0 )
[1]	644	ENDIF
	645
	646	!
[1968]	647	!-- Define the building.
[1]	648	nzb_local = 0
[1968]	649	IF ( bxl <= nxr .AND. bxr >= nxl .AND. &
	650	bys <= nyn .AND. byn >= nys ) &
	651	nzb_local(MAX(nys,bys):MIN(nyn,byn),MAX(nxl,bxl):MIN(nxr,bxr)) = bh
[1]	652
[1994]	653	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	654
[240]	655	CASE ( 'single_street_canyon' )
	656	!
	657	!-- Single quasi-2D street canyon of infinite length in x or y direction.
	658	!-- The canyon is centered in the other direction by default.
[1322]	659	IF ( canyon_width_x /= 9999999.9_wp ) THEN
[240]	660	!
	661	!-- Street canyon in y direction
	662	cwx = NINT( canyon_width_x / dx )
[1322]	663	IF ( canyon_wall_left == 9999999.9_wp ) THEN
[240]	664	canyon_wall_left = ( nx + 1 - cwx ) / 2 * dx
	665	ENDIF
	666	cxl = NINT( canyon_wall_left / dx )
	667	cxr = cxl + cwx
	668
[1322]	669	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
[240]	670	!
	671	!-- Street canyon in x direction
	672	cwy = NINT( canyon_width_y / dy )
[1322]	673	IF ( canyon_wall_south == 9999999.9_wp ) THEN
[240]	674	canyon_wall_south = ( ny + 1 - cwy ) / 2 * dy
	675	ENDIF
	676	cys = NINT( canyon_wall_south / dy )
	677	cyn = cys + cwy
	678
	679	ELSE
[254]	680
	681	message_string = 'no street canyon width given'
	682	CALL message( 'init_grid', 'PA0204', 1, 2, 0, 6, 0 )
	683
[240]	684	ENDIF
	685
[1675]	686	ch = MINLOC( ABS( zw - canyon_height ), 1 ) - 1
	687	IF ( ABS( zw(ch ) - canyon_height ) == &
	688	ABS( zw(ch+1) - canyon_height ) ) ch = ch + 1
	689
[240]	690	dp_level_ind_b = ch
	691	!
	692	!-- Street canyon size has to meet some requirements
[1322]	693	IF ( canyon_width_x /= 9999999.9_wp ) THEN
[1353]	694	IF ( ( cxl < 1 ) .OR. ( cxr > nx-1 ) .OR. ( cwx < 3 ) .OR. &
[240]	695	( ch < 3 ) ) THEN
[1353]	696	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
	697	'&cxl=', cxl, 'cxr=', cxr, &
	698	'cwx=', cwx, &
[254]	699	'ch=', ch, 'nx=', nx, 'ny=', ny
	700	CALL message( 'init_grid', 'PA0205', 1, 2, 0, 6, 0 )
[240]	701	ENDIF
[1322]	702	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
[1353]	703	IF ( ( cys < 1 ) .OR. ( cyn > ny-1 ) .OR. ( cwy < 3 ) .OR. &
[240]	704	( ch < 3 ) ) THEN
[1353]	705	WRITE( message_string, * ) 'inconsistent canyon parameters:', &
	706	'&cys=', cys, 'cyn=', cyn, &
	707	'cwy=', cwy, &
[254]	708	'ch=', ch, 'nx=', nx, 'ny=', ny
	709	CALL message( 'init_grid', 'PA0206', 1, 2, 0, 6, 0 )
[240]	710	ENDIF
	711	ENDIF
[1353]	712	IF ( canyon_width_x /= 9999999.9_wp .AND. &
	713	canyon_width_y /= 9999999.9_wp ) THEN
	714	message_string = 'inconsistent canyon parameters:' // &
	715	'&street canyon can only be oriented' // &
[254]	716	'&either in x- or in y-direction'
	717	CALL message( 'init_grid', 'PA0207', 1, 2, 0, 6, 0 )
[240]	718	ENDIF
	719
	720	nzb_local = ch
[1322]	721	IF ( canyon_width_x /= 9999999.9_wp ) THEN
[1968]	722	IF ( cxl <= nxr .AND. cxr >= nxl ) &
	723	nzb_local(:,MAX(nxl,cxl+1):MIN(nxr,cxr-1)) = 0
[1322]	724	ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN
[1968]	725	IF ( cys <= nyn .AND. cyn >= nys ) &
	726	nzb_local(MAX(nys,cys+1):MIN(nyn,cyn-1),:) = 0
[240]	727	ENDIF
	728
[1994]	729	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	730
[1]	731	CASE ( 'read_from_file' )
[759]	732
[1968]	733	ALLOCATE ( topo_height(nys:nyn,nxl:nxr) )
[818]	734
[759]	735	DO ii = 0, io_blocks-1
	736	IF ( ii == io_group ) THEN
	737
[1]	738	!
[759]	739	!-- Arbitrary irregular topography data in PALM format (exactly
	740	!-- matching the grid size and total domain size)
[1779]	741	OPEN( 90, FILE='TOPOGRAPHY_DATA'//TRIM( coupling_char ), &
	742	STATUS='OLD', FORM='FORMATTED', ERR=10 )
[1968]	743	!
	744	!-- Read topography PE-wise. Rows are read from nyn to nys, columns
	745	!-- are read from nxl to nxr. At first, ny-nyn rows need to be skipped.
	746	skip_n_rows = 0
	747	DO WHILE ( skip_n_rows < ny - nyn )
	748	READ( 90, * )
	749	skip_n_rows = skip_n_rows + 1
[759]	750	ENDDO
[1968]	751	!
	752	!-- Read data from nyn to nys and nxl to nxr. Therefore, skip
	753	!-- column until nxl-1 is reached
	754	DO j = nyn, nys, -1
	755	READ( 90, *, ERR=11, END=11 ) &
	756	( dum, i = 0, nxl-1 ), &
	757	( topo_height(j,i), i = nxl, nxr )
	758	ENDDO
[759]	759
	760	GOTO 12
	761
[1779]	762	10 message_string = 'file TOPOGRAPHY'//TRIM( coupling_char )// &
	763	' does not exist'
[759]	764	CALL message( 'init_grid', 'PA0208', 1, 2, 0, 6, 0 )
	765
[1779]	766	11 message_string = 'errors in file TOPOGRAPHY_DATA'// &
	767	TRIM( coupling_char )
[759]	768	CALL message( 'init_grid', 'PA0209', 1, 2, 0, 6, 0 )
	769
	770	12 CLOSE( 90 )
	771
	772	ENDIF
[1804]	773	#if defined( __parallel )
[759]	774	CALL MPI_BARRIER( comm2d, ierr )
	775	#endif
[559]	776	ENDDO
[759]	777
[1]	778	!
	779	!-- Calculate the index height of the topography
[1968]	780	nzb_local = 0
	781	DO i = nxl, nxr
	782	DO j = nys, nyn
[1675]	783	nzb_local(j,i) = MINLOC( ABS( zw - topo_height(j,i) ), 1 ) - 1
	784	IF ( ABS( zw(nzb_local(j,i) ) - topo_height(j,i) ) == &
	785	ABS( zw(nzb_local(j,i)+1) - topo_height(j,i) ) ) &
	786	nzb_local(j,i) = nzb_local(j,i) + 1
[1]	787	ENDDO
	788	ENDDO
[818]	789
	790	DEALLOCATE ( topo_height )
[1942]	791	!
	792	!-- Filter topography, i.e. fill holes resolved by only one grid point.
	793	!-- Such holes are suspected to lead to velocity blow-ups as continuity
	794	!-- equation on discrete grid cannot be fulfilled in such case.
	795	!-- For now, check only for holes and fill them to the lowest height level
	796	!-- of the directly adjoining grid points along x- and y- direction.
	797	!-- Before checking for holes, set lateral boundary conditions for
	798	!-- topography. After hole-filling, boundary conditions must be set again!
[1968]	799	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	800
	801	IF ( .NOT. bc_ns_cyc ) THEN
	802	IF ( nys == 0 ) nzb_local(-1,:) = nzb_local(0,:)
	803	IF ( nyn == ny ) nzb_local(ny+1,:) = nzb_local(ny,:)
[1942]	804	ENDIF
[1910]	805
[1968]	806	IF ( .NOT. bc_lr_cyc ) THEN
	807	IF ( nxl == 0 ) nzb_local(:,-1) = nzb_local(:,0)
	808	IF ( nxr == nx ) nzb_local(:,nx+1) = nzb_local(:,nx)
[1942]	809	ENDIF
	810
[1968]	811	num_hole_l = 0
	812	DO i = nxl, nxr
	813	DO j = nys, nyn
[1942]	814
	815	num_wall = 0
	816
	817	IF ( nzb_local(j-1,i) > nzb_local(j,i) ) &
	818	num_wall = num_wall + 1
	819	IF ( nzb_local(j+1,i) > nzb_local(j,i) ) &
	820	num_wall = num_wall + 1
	821	IF ( nzb_local(j,i-1) > nzb_local(j,i) ) &
	822	num_wall = num_wall + 1
	823	IF ( nzb_local(j,i+1) > nzb_local(j,i) ) &
	824	num_wall = num_wall + 1
	825
	826	IF ( num_wall == 4 ) THEN
	827	nzb_local(j,i) = MIN( nzb_local(j-1,i), nzb_local(j+1,i), &
	828	nzb_local(j,i-1), nzb_local(j,i+1) )
[1968]	829	num_hole_l = num_hole_l + 1
[1942]	830	ENDIF
	831	ENDDO
	832	ENDDO
[114]	833	!
[1968]	834	!-- Count the total number of holes, required for informative message.
	835	#if defined( __parallel )
	836	CALL MPI_ALLREDUCE( num_hole_l, num_hole, 1, MPI_INTEGER, MPI_SUM, &
	837	comm2d, ierr )
	838	#else
	839	num_hole = num_hole_l
	840	#endif
	841	!
[1942]	842	!-- Create an informative message if any hole was removed.
[1968]	843	IF ( num_hole > 0 ) THEN
[1942]	844	WRITE( message_string, * ) num_hole, 'hole(s) resolved by only '//&
	845	'one grid point were filled'
	846	CALL message( 'init_grid', 'PA0430', 0, 0, 0, 6, 0 )
	847	ENDIF
	848	!
[1968]	849	!-- Exchange ghost-points, as well as add cyclic or Neumann boundary
	850	!-- conditions.
	851	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	852
	853	IF ( .NOT. bc_ns_cyc ) THEN
	854	IF ( nys == 0 ) nzb_local(-1,:) = nzb_local(0,:)
	855	IF ( nyn == ny ) nzb_local(ny+1,:) = nzb_local(ny,:)
[1910]	856	ENDIF
[667]	857
[1968]	858	IF ( .NOT. bc_lr_cyc ) THEN
	859	IF ( nxl == 0 ) nzb_local(:,-1) = nzb_local(:,0)
	860	IF ( nxr == nx ) nzb_local(:,nx+1) = nzb_local(:,nx)
[1910]	861	ENDIF
	862
[1]	863	CASE DEFAULT
	864	!
	865	!-- The DEFAULT case is reached either if the parameter topography
[217]	866	!-- contains a wrong character string or if the user has defined a special
[1]	867	!-- case in the user interface. There, the subroutine user_init_grid
	868	!-- checks which of these two conditions applies.
[1968]	869	CALL user_init_grid( nzb_local )
[1]	870
	871	END SELECT
	872	!
[861]	873	!-- Determine the maximum level of topography. Furthermore it is used for
	874	!-- steering the degradation of order of the applied advection scheme.
[978]	875	!-- In case of non-cyclic lateral boundaries, the order of the advection
[1968]	876	!-- scheme has to be reduced up to nzt (required at the lateral boundaries).
	877	#if defined( __parallel )
	878	CALL MPI_ALLREDUCE( MAXVAL( nzb_local ) + 1, nzb_max, 1, MPI_INTEGER, &
	879	MPI_MAX, comm2d, ierr )
	880	#else
[1677]	881	nzb_max = MAXVAL( nzb_local ) + 1
[1968]	882	#endif
[1353]	883	IF ( inflow_l .OR. outflow_l .OR. inflow_r .OR. outflow_r .OR. &
[1762]	884	inflow_n .OR. outflow_n .OR. inflow_s .OR. outflow_s .OR. &
	885	nest_domain ) &
	886	THEN
	887	nzb_max = nzt
[978]	888	ENDIF
	889
[861]	890	!
[1]	891	!-- Consistency checks and index array initialization are only required for
[217]	892	!-- non-flat topography, also the initialization of topography height arrays
[49]	893	!-- zu_s_inner and zw_w_inner
[1]	894	IF ( TRIM( topography ) /= 'flat' ) THEN
[1968]	895	#if defined( __parallel )
	896	CALL MPI_ALLREDUCE( MAXVAL( nzb_local ), nzb_local_max, 1, MPI_INTEGER, &
	897	MPI_MAX, comm2d, ierr )
[1982]	898	CALL MPI_ALLREDUCE( MINVAL( nzb_local ), nzb_local_min, 1, MPI_INTEGER, &
[1968]	899	MPI_MIN, comm2d, ierr )
	900	#else
	901	nzb_local_max = MAXVAL( nzb_local )
	902	nzb_local_min = MINVAL( nzb_local )
	903	#endif
[1982]	904
[1]	905	!
	906	!-- Consistency checks
[1968]	907	IF ( nzb_local_min < 0 .OR. nzb_local_max > nz + 1 ) THEN
[1353]	908	WRITE( message_string, * ) 'nzb_local values are outside the', &
	909	'model domain', &
[1968]	910	'&MINVAL( nzb_local ) = ', nzb_local_min, &
	911	'&MAXVAL( nzb_local ) = ', nzb_local_max
[254]	912	CALL message( 'init_grid', 'PA0210', 1, 2, 0, 6, 0 )
[1]	913	ENDIF
	914
[217]	915	IF ( topography_grid_convention == 'cell_edge' ) THEN
[134]	916	!
[217]	917	!-- The array nzb_local as defined using the 'cell_edge' convention
	918	!-- describes the actual total size of topography which is defined at the
	919	!-- cell edges where u=0 on the topography walls in x-direction and v=0
	920	!-- on the topography walls in y-direction. However, PALM uses individual
	921	!-- arrays nzb_u\|v\|w\|s_inner\|outer that are based on nzb_s_inner.
	922	!-- Therefore, the extent of topography in nzb_local is now reduced by
	923	!-- 1dx at the E topography walls and by 1dy at the N topography walls
[1968]	924	!-- to form the basis for nzb_s_inner.
	925	!-- Note, the reverse memory access (i-j instead of j-i) is absolutely
	926	!-- required at this point.
	927	DO j = nys+1, nyn+1
	928	DO i = nxl-1, nxr
[217]	929	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j,i+1) )
	930	ENDDO
[134]	931	ENDDO
[1968]	932	!
	933	!-- Exchange ghost points
	934	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
	935
	936	DO i = nxl, nxr+1
	937	DO j = nys-1, nyn
[217]	938	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j+1,i) )
	939	ENDDO
[134]	940	ENDDO
[1968]	941	!
	942	!-- Exchange ghost points
	943	CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp )
[217]	944	ENDIF
[1]	945	!
	946	!-- Initialize index arrays nzb_s_inner and nzb_w_inner
[1968]	947	nzb_s_inner = nzb_local
	948	nzb_w_inner = nzb_local
[1]	949
	950	!
	951	!-- Initialize remaining index arrays:
	952	!-- first pre-initialize them with nzb_s_inner...
	953	nzb_u_inner = nzb_s_inner
	954	nzb_u_outer = nzb_s_inner
	955	nzb_v_inner = nzb_s_inner
	956	nzb_v_outer = nzb_s_inner
	957	nzb_w_outer = nzb_s_inner
	958	nzb_s_outer = nzb_s_inner
	959
	960	!
	961	!-- ...then extend pre-initialized arrays in their according directions
	962	!-- based on nzb_local using nzb_tmp as a temporary global index array
	963
	964	!
	965	!-- nzb_s_outer:
	966	!-- extend nzb_local east-/westwards first, then north-/southwards
[1968]	967	nzb_tmp = nzb_local
	968	DO j = nys, nyn
	969	DO i = nxl, nxr
[1353]	970	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i), &
[1]	971	nzb_local(j,i+1) )
	972	ENDDO
	973	ENDDO
[1968]	974
	975	CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp )
	976
[1]	977	DO i = nxl, nxr
	978	DO j = nys, nyn
[1353]	979	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
[1]	980	nzb_tmp(j+1,i) )
	981	ENDDO
	982	!
	983	!-- non-cyclic boundary conditions (overwritten by call of
	984	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	985	IF ( nys == 0 ) THEN
	986	j = -1
	987	nzb_s_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
	988	ENDIF
[1743]	989	IF ( nyn == ny ) THEN
[1]	990	j = ny + 1
	991	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
	992	ENDIF
	993	ENDDO
	994	!
	995	!-- nzb_w_outer:
	996	!-- identical to nzb_s_outer
	997	nzb_w_outer = nzb_s_outer
	998
	999	!
	1000	!-- nzb_u_inner:
	1001	!-- extend nzb_local rightwards only
[1968]	1002	nzb_tmp = nzb_local
	1003	DO j = nys, nyn
	1004	DO i = nxl, nxr
[1]	1005	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i) )
	1006	ENDDO
	1007	ENDDO
[1968]	1008
	1009	CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp )
	1010
	1011	nzb_u_inner = nzb_tmp
[1]	1012	!
	1013	!-- nzb_u_outer:
	1014	!-- extend current nzb_tmp (nzb_u_inner) north-/southwards
	1015	DO i = nxl, nxr
	1016	DO j = nys, nyn
[1353]	1017	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
[1]	1018	nzb_tmp(j+1,i) )
	1019	ENDDO
	1020	!
	1021	!-- non-cyclic boundary conditions (overwritten by call of
	1022	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	1023	IF ( nys == 0 ) THEN
	1024	j = -1
	1025	nzb_u_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
	1026	ENDIF
[1743]	1027	IF ( nyn == ny ) THEN
[1]	1028	j = ny + 1
	1029	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
	1030	ENDIF
	1031	ENDDO
	1032
	1033	!
	1034	!-- nzb_v_inner:
	1035	!-- extend nzb_local northwards only
[1968]	1036	nzb_tmp = nzb_local
	1037	DO i = nxl, nxr
	1038	DO j = nys, nyn
[1]	1039	nzb_tmp(j,i) = MAX( nzb_local(j-1,i), nzb_local(j,i) )
	1040	ENDDO
	1041	ENDDO
[1968]	1042
	1043	CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp )
	1044	nzb_v_inner = nzb_tmp
[1]	1045
	1046	!
	1047	!-- nzb_v_outer:
	1048	!-- extend current nzb_tmp (nzb_v_inner) right-/leftwards
	1049	DO j = nys, nyn
	1050	DO i = nxl, nxr
[1353]	1051	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i), &
[1]	1052	nzb_tmp(j,i+1) )
	1053	ENDDO
	1054	!
	1055	!-- non-cyclic boundary conditions (overwritten by call of
	1056	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	1057	IF ( nxl == 0 ) THEN
	1058	i = -1
	1059	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i+1), nzb_tmp(j,i) )
	1060	ENDIF
	1061	IF ( nxr == nx ) THEN
	1062	i = nx + 1
	1063	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i) )
	1064	ENDIF
	1065	ENDDO
[1804]	1066
[1]	1067	!
	1068	!-- Exchange of lateral boundary values (parallel computers) and cyclic
	1069	!-- boundary conditions, if applicable.
	1070	!-- Since nzb_s_inner and nzb_w_inner are derived directly from nzb_local
	1071	!-- they do not require exchange and are not included here.
[1968]	1072	CALL exchange_horiz_2d_int( nzb_u_inner, nys, nyn, nxl, nxr, nbgp )
	1073	CALL exchange_horiz_2d_int( nzb_u_outer, nys, nyn, nxl, nxr, nbgp )
	1074	CALL exchange_horiz_2d_int( nzb_v_inner, nys, nyn, nxl, nxr, nbgp )
	1075	CALL exchange_horiz_2d_int( nzb_v_outer, nys, nyn, nxl, nxr, nbgp )
	1076	CALL exchange_horiz_2d_int( nzb_w_outer, nys, nyn, nxl, nxr, nbgp )
	1077	CALL exchange_horiz_2d_int( nzb_s_outer, nys, nyn, nxl, nxr, nbgp )
[1]	1078
[49]	1079	!
	1080	!-- Allocate and set the arrays containing the topography height
[1968]	1081	ALLOCATE( zu_s_inner(0:nx+1,0:ny+1), zw_w_inner(0:nx+1,0:ny+1), &
	1082	zu_s_inner_l(0:nx+1,0:ny+1), zw_w_inner_l(0:nx+1,0:ny+1) )
	1083
	1084	zu_s_inner = 0.0_wp
	1085	zw_w_inner = 0.0_wp
	1086	zu_s_inner_l = 0.0_wp
	1087	zw_w_inner_l = 0.0_wp
	1088
	1089	DO i = nxl, nxr
	1090	DO j = nys, nyn
	1091	zu_s_inner_l(i,j) = zu(nzb_local(j,i))
	1092	zw_w_inner_l(i,j) = zw(nzb_local(j,i))
	1093	ENDDO
	1094	ENDDO
	1095
	1096	#if defined( __parallel )
	1097	CALL MPI_REDUCE( zu_s_inner_l, zu_s_inner, (nx+2)*(ny+2), &
	1098	MPI_REAL, MPI_SUM, 0, comm2d, ierr )
	1099	CALL MPI_REDUCE( zw_w_inner_l, zw_w_inner, (nx+2)*(ny+2), &
	1100	MPI_REAL, MPI_SUM, 0, comm2d, ierr )
	1101	#else
	1102	zu_s_inner = zu_s_inner_l
	1103	zw_w_inner = zw_w_inner_l
	1104	#endif
[49]	1105
[1968]	1106	DEALLOCATE( zu_s_inner_l, zw_w_inner_l )
	1107	IF ( myid /= 0 ) DEALLOCATE( zu_s_inner, zw_w_inner )
[1221]	1108	!
[1968]	1109	!-- Set south and left ghost points, required for netcdf output
	1110	IF ( myid == 0 ) THEN
	1111	IF( bc_lr_cyc ) THEN
	1112	zu_s_inner(nx+1,:) = zu_s_inner(0,:)
	1113	zw_w_inner(nx+1,:) = zw_w_inner(0,:)
	1114	ELSE
	1115	zu_s_inner(nx+1,:) = zu_s_inner(nx,:)
	1116	zw_w_inner(nx+1,:) = zw_w_inner(nx,:)
	1117	ENDIF
	1118	IF( bc_ns_cyc ) THEN
	1119	zu_s_inner(:,ny+1) = zu_s_inner(:,0)
	1120	zw_w_inner(:,ny+1) = zw_w_inner(:,0)
	1121	ELSE
	1122	zu_s_inner(:,ny+1) = zu_s_inner(:,ny)
	1123	zw_w_inner(:,ny+1) = zw_w_inner(:,ny)
	1124	ENDIF
	1125	ENDIF
	1126	!
[1221]	1127	!-- Set flag arrays to be used for masking of grid points
	1128	DO i = nxlg, nxrg
	1129	DO j = nysg, nyng
	1130	DO k = nzb, nzt+1
[1353]	1131	IF ( k <= nzb_s_inner(j,i) ) rflags_s_inner(k,j,i) = 0.0_wp
	1132	IF ( k <= nzb_s_inner(j,i) ) rflags_invers(j,i,k) = 0.0_wp
[1221]	1133	ENDDO
	1134	ENDDO
	1135	ENDDO
[1804]	1136
[1]	1137	ENDIF
[1968]	1138	!
	1139	!-- Deallocate temporary array, as it might be reused for different
	1140	!-- grid-levels further below.
	1141	DEALLOCATE( nzb_tmp )
[1]	1142
	1143	!
	1144	!-- Set the individual index arrays which define the k index from which on
	1145	!-- the usual finite difference form (which does not use surface fluxes) is
	1146	!-- applied
[1691]	1147	IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN
[1]	1148	nzb_diff_u = nzb_u_inner + 2
	1149	nzb_diff_v = nzb_v_inner + 2
	1150	nzb_diff_s_inner = nzb_s_inner + 2
	1151	nzb_diff_s_outer = nzb_s_outer + 2
	1152	ELSE
	1153	nzb_diff_u = nzb_u_inner + 1
	1154	nzb_diff_v = nzb_v_inner + 1
	1155	nzb_diff_s_inner = nzb_s_inner + 1
	1156	nzb_diff_s_outer = nzb_s_outer + 1
	1157	ENDIF
	1158
	1159	!
	1160	!-- Calculation of wall switches and factors required by diffusion_u/v.f90 and
	1161	!-- for limitation of near-wall mixing length l_wall further below
	1162	corner_nl = 0
	1163	corner_nr = 0
	1164	corner_sl = 0
	1165	corner_sr = 0
	1166	wall_l = 0
	1167	wall_n = 0
	1168	wall_r = 0
	1169	wall_s = 0
	1170
	1171	DO i = nxl, nxr
	1172	DO j = nys, nyn
	1173	!
	1174	!-- u-component
	1175	IF ( nzb_u_outer(j,i) > nzb_u_outer(j+1,i) ) THEN
[1353]	1176	wall_u(j,i) = 1.0_wp ! north wall (location of adjacent fluid)
	1177	fym(j,i) = 0.0_wp
	1178	fyp(j,i) = 1.0_wp
[1]	1179	ELSEIF ( nzb_u_outer(j,i) > nzb_u_outer(j-1,i) ) THEN
[1353]	1180	wall_u(j,i) = 1.0_wp ! south wall (location of adjacent fluid)
	1181	fym(j,i) = 1.0_wp
	1182	fyp(j,i) = 0.0_wp
[1]	1183	ENDIF
	1184	!
	1185	!-- v-component
	1186	IF ( nzb_v_outer(j,i) > nzb_v_outer(j,i+1) ) THEN
[1353]	1187	wall_v(j,i) = 1.0_wp ! rigth wall (location of adjacent fluid)
	1188	fxm(j,i) = 0.0_wp
	1189	fxp(j,i) = 1.0_wp
[1]	1190	ELSEIF ( nzb_v_outer(j,i) > nzb_v_outer(j,i-1) ) THEN
[1353]	1191	wall_v(j,i) = 1.0_wp ! left wall (location of adjacent fluid)
	1192	fxm(j,i) = 1.0_wp
	1193	fxp(j,i) = 0.0_wp
[1]	1194	ENDIF
	1195	!
	1196	!-- w-component, also used for scalars, separate arrays for shear
	1197	!-- production of tke
	1198	IF ( nzb_w_outer(j,i) > nzb_w_outer(j+1,i) ) THEN
[1353]	1199	wall_e_y(j,i) = 1.0_wp ! north wall (location of adjacent fluid)
	1200	wall_w_y(j,i) = 1.0_wp
	1201	fwym(j,i) = 0.0_wp
	1202	fwyp(j,i) = 1.0_wp
[1]	1203	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j-1,i) ) THEN
[1353]	1204	wall_e_y(j,i) = -1.0_wp ! south wall (location of adjacent fluid)
	1205	wall_w_y(j,i) = 1.0_wp
	1206	fwym(j,i) = 1.0_wp
	1207	fwyp(j,i) = 0.0_wp
[1]	1208	ENDIF
	1209	IF ( nzb_w_outer(j,i) > nzb_w_outer(j,i+1) ) THEN
[1353]	1210	wall_e_x(j,i) = 1.0_wp ! right wall (location of adjacent fluid)
	1211	wall_w_x(j,i) = 1.0_wp
	1212	fwxm(j,i) = 0.0_wp
	1213	fwxp(j,i) = 1.0_wp
[1]	1214	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j,i-1) ) THEN
[1353]	1215	wall_e_x(j,i) = -1.0_wp ! left wall (location of adjacent fluid)
	1216	wall_w_x(j,i) = 1.0_wp
	1217	fwxm(j,i) = 1.0_wp
	1218	fwxp(j,i) = 0.0_wp
[1]	1219	ENDIF
	1220	!
	1221	!-- Wall and corner locations inside buildings for limitation of
	1222	!-- near-wall mixing length l_wall
	1223	IF ( nzb_s_inner(j,i) > nzb_s_inner(j+1,i) ) THEN
	1224
	1225	wall_n(j,i) = nzb_s_inner(j+1,i) + 1 ! North wall
	1226
	1227	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	1228	corner_nl(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northleft corner
	1229	nzb_s_inner(j,i-1) ) + 1
	1230	ENDIF
	1231
	1232	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	1233	corner_nr(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northright corner
	1234	nzb_s_inner(j,i+1) ) + 1
	1235	ENDIF
	1236
	1237	ENDIF
	1238
	1239	IF ( nzb_s_inner(j,i) > nzb_s_inner(j-1,i) ) THEN
	1240
	1241	wall_s(j,i) = nzb_s_inner(j-1,i) + 1 ! South wall
	1242	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	1243	corner_sl(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southleft corner
	1244	nzb_s_inner(j,i-1) ) + 1
	1245	ENDIF
	1246
	1247	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	1248	corner_sr(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southright corner
	1249	nzb_s_inner(j,i+1) ) + 1
	1250	ENDIF
	1251
	1252	ENDIF
	1253
	1254	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	1255	wall_l(j,i) = nzb_s_inner(j,i-1) + 1 ! Left wall
	1256	ENDIF
	1257
	1258	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	1259	wall_r(j,i) = nzb_s_inner(j,i+1) + 1 ! Right wall
	1260	ENDIF
	1261
	1262	ENDDO
	1263	ENDDO
	1264	!
[1931]	1265	!-- Calculate wall flag arrays for the multigrid method.
	1266	!-- Please note, wall flags are only applied in the not cache-optimized
	1267	!-- version.
	1268	IF ( psolver == 'multigrid_noopt' ) THEN
[1968]	1269
[114]	1270	!
[1968]	1271	!-- Gridpoint increment of the current level.
[114]	1272	inc = 1
	1273	DO l = maximum_grid_level, 1 , -1
[1968]	1274	!
	1275	!-- Set grid_level as it is required for exchange_horiz_2d_int
	1276	grid_level = l
[114]	1277
	1278	nxl_l = nxl_mg(l)
	1279	nxr_l = nxr_mg(l)
	1280	nys_l = nys_mg(l)
	1281	nyn_l = nyn_mg(l)
	1282	nzt_l = nzt_mg(l)
	1283	!
	1284	!-- Assign the flag level to be calculated
	1285	SELECT CASE ( l )
	1286	CASE ( 1 )
	1287	flags => wall_flags_1
	1288	CASE ( 2 )
	1289	flags => wall_flags_2
	1290	CASE ( 3 )
	1291	flags => wall_flags_3
	1292	CASE ( 4 )
	1293	flags => wall_flags_4
	1294	CASE ( 5 )
	1295	flags => wall_flags_5
	1296	CASE ( 6 )
	1297	flags => wall_flags_6
	1298	CASE ( 7 )
	1299	flags => wall_flags_7
	1300	CASE ( 8 )
	1301	flags => wall_flags_8
	1302	CASE ( 9 )
	1303	flags => wall_flags_9
	1304	CASE ( 10 )
	1305	flags => wall_flags_10
	1306	END SELECT
	1307
	1308	!
	1309	!-- Depending on the grid level, set the respective bits in case of
	1310	!-- neighbouring walls
	1311	!-- Bit 0: wall to the bottom
	1312	!-- Bit 1: wall to the top (not realized in remaining PALM code so far)
	1313	!-- Bit 2: wall to the south
	1314	!-- Bit 3: wall to the north
	1315	!-- Bit 4: wall to the left
	1316	!-- Bit 5: wall to the right
[116]	1317	!-- Bit 6: inside building
[114]	1318
	1319	flags = 0
	1320
[927]	1321	!
	1322	!-- In case of masking method, flags are not set and multigrid method
	1323	!-- works like FFT-solver
[1931]	1324	IF ( .NOT. masking_method ) THEN
[927]	1325
[1968]	1326	!
	1327	!-- Allocate temporary array for topography heights on coarser grid
	1328	!-- level. Please note, 2 ghoist points are required, in order to
	1329	!-- calculate flags() on the interior ghost point.
	1330	ALLOCATE( nzb_tmp(nys_l-2:nyn_l+2,nxl_l-2:nxr_l+2) )
	1331	nzb_tmp = 0
	1332
	1333	DO i = nxl_l, nxr_l
	1334	DO j = nys_l, nyn_l
	1335	nzb_tmp(j,i) = nzb_local(jinc,iinc)
	1336	ENDDO
	1337	ENDDO
	1338	!
	1339	!-- Exchange ghost points on respective multigrid level. 2 ghost points
	1340	!-- are required, in order to calculate flags on
	1341	!-- nys_l-1 / nyn_l+1 / nxl_l-1 / nxr_l+1. The alternative would be to
	1342	!-- exchange 3D-INTEGER array flags on the respective multigrid level.
	1343	CALL exchange_horiz_2d_int( nzb_tmp, nys_l, nyn_l, nxl_l, nxr_l, 2 )
	1344	!
	1345	!-- Set non-cyclic boundary conditions on respective multigrid level
	1346	IF ( .NOT. bc_ns_cyc ) THEN
[2021]	1347	IF ( inflow_s .OR. outflow_s .OR. nest_bound_s ) THEN
[1968]	1348	nzb_tmp(-2,:) = nzb_tmp(0,:)
	1349	nzb_tmp(-1,:) = nzb_tmp(0,:)
	1350	ENDIF
[2021]	1351	IF ( inflow_n .OR. outflow_n .OR. nest_bound_n ) THEN
	1352	nzb_tmp(nyn_l+2,:) = nzb_tmp(nyn_l,:)
	1353	nzb_tmp(nyn_l+1,:) = nzb_tmp(nyn_l,:)
[1968]	1354	ENDIF
	1355	ENDIF
	1356	IF ( .NOT. bc_lr_cyc ) THEN
[2021]	1357	IF ( inflow_l .OR. outflow_l .OR. nest_bound_l ) THEN
[1968]	1358	nzb_tmp(:,-2) = nzb_tmp(:,0)
	1359	nzb_tmp(:,-1) = nzb_tmp(:,0)
	1360	ENDIF
[2021]	1361	IF ( inflow_r .OR. outflow_r .OR. nest_bound_r ) THEN
	1362	nzb_tmp(:,nxr_l+1) = nzb_tmp(:,nxr_l)
	1363	nzb_tmp(:,nxr_l+2) = nzb_tmp(:,nxr_l)
[1968]	1364	ENDIF
	1365	ENDIF
	1366
[927]	1367	DO i = nxl_l-1, nxr_l+1
	1368	DO j = nys_l-1, nyn_l+1
[1968]	1369	DO k = nzb, nzt_l+1
[114]	1370	!
[927]	1371	!-- Inside/outside building (inside building does not need
	1372	!-- further tests for walls)
[1968]	1373	IF ( k*inc <= nzb_tmp(j,i) ) THEN
[114]	1374
[927]	1375	flags(k,j,i) = IBSET( flags(k,j,i), 6 )
[114]	1376
[927]	1377	ELSE
[114]	1378	!
[927]	1379	!-- Bottom wall
[1968]	1380	IF ( (k-1)*inc <= nzb_tmp(j,i) ) THEN
[927]	1381	flags(k,j,i) = IBSET( flags(k,j,i), 0 )
	1382	ENDIF
[114]	1383	!
[927]	1384	!-- South wall
[1968]	1385	IF ( k*inc <= nzb_tmp(j-1,i) ) THEN
[927]	1386	flags(k,j,i) = IBSET( flags(k,j,i), 2 )
	1387	ENDIF
[114]	1388	!
[927]	1389	!-- North wall
[1968]	1390	IF ( k*inc <= nzb_tmp(j+1,i) ) THEN
[927]	1391	flags(k,j,i) = IBSET( flags(k,j,i), 3 )
	1392	ENDIF
[114]	1393	!
[927]	1394	!-- Left wall
[1968]	1395	IF ( k*inc <= nzb_tmp(j,i-1) ) THEN
[927]	1396	flags(k,j,i) = IBSET( flags(k,j,i), 4 )
	1397	ENDIF
[114]	1398	!
[927]	1399	!-- Right wall
[1968]	1400	IF ( k*inc <= nzb_tmp(j,i+1) ) THEN
[927]	1401	flags(k,j,i) = IBSET( flags(k,j,i), 5 )
	1402	ENDIF
	1403
[114]	1404	ENDIF
	1405
[927]	1406	ENDDO
[114]	1407	ENDDO
	1408	ENDDO
	1409
[1968]	1410	DEALLOCATE( nzb_tmp )
	1411
[927]	1412	ENDIF
	1413
[114]	1414	inc = inc * 2
	1415
	1416	ENDDO
[1968]	1417	!
	1418	!-- Reset grid_level to "normal" grid
	1419	grid_level = 0
	1420
[114]	1421	ENDIF
[861]	1422	!
[1942]	1423	!-- Allocate flags needed for masking walls. Even though these flags are only
[2021]	1424	!-- required in the ws-scheme, the arrays need to be allocated here as they are
[1942]	1425	!-- used in OpenACC directives.
[1677]	1426	ALLOCATE( wall_flags_0(nzb:nzt+1,nysg:nyng,nxlg:nxrg), &
	1427	wall_flags_00(nzb:nzt+1,nysg:nyng,nxlg:nxrg) )
[1221]	1428	wall_flags_0 = 0
	1429	wall_flags_00 = 0
[114]	1430	!
[2021]	1431	!-- Init flags for ws-scheme to degrade order of the numerics near walls, i.e.
	1432	!-- to decrease the numerical stencil appropriately.
[1942]	1433	IF ( momentum_advec == 'ws-scheme' .OR. scalar_advec == 'ws-scheme' .OR.&
	1434	scalar_advec == 'ws-scheme-mono' ) THEN
	1435	CALL ws_init_flags
[861]	1436	ENDIF
	1437
	1438	!
[1]	1439	!-- In case of topography: limit near-wall mixing length l_wall further:
	1440	!-- Go through all points of the subdomain one by one and look for the closest
	1441	!-- surface
	1442	IF ( TRIM(topography) /= 'flat' ) THEN
	1443	DO i = nxl, nxr
	1444	DO j = nys, nyn
	1445
	1446	nzb_si = nzb_s_inner(j,i)
	1447	vi = vertical_influence(nzb_si)
	1448
	1449	IF ( wall_n(j,i) > 0 ) THEN
	1450	!
	1451	!-- North wall (y distance)
	1452	DO k = wall_n(j,i), nzb_si
[1353]	1453	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), 0.5_wp * dy )
[1]	1454	ENDDO
	1455	!
	1456	!-- Above North wall (yz distance)
	1457	DO k = nzb_si + 1, nzb_si + vi
[1353]	1458	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), &
	1459	SQRT( 0.25_wp * dy**2 + &
[1]	1460	( zu(k) - zw(nzb_si) )**2 ) )
	1461	ENDDO
	1462	!
	1463	!-- Northleft corner (xy distance)
	1464	IF ( corner_nl(j,i) > 0 ) THEN
	1465	DO k = corner_nl(j,i), nzb_si
	1466	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
[1353]	1467	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1468	ENDDO
	1469	!
	1470	!-- Above Northleft corner (xyz distance)
	1471	DO k = nzb_si + 1, nzb_si + vi
[1353]	1472	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
	1473	SQRT( 0.25_wp * (dx2 + dy2) + &
	1474	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1475	ENDDO
	1476	ENDIF
	1477	!
	1478	!-- Northright corner (xy distance)
	1479	IF ( corner_nr(j,i) > 0 ) THEN
	1480	DO k = corner_nr(j,i), nzb_si
[1353]	1481	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
	1482	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1483	ENDDO
	1484	!
	1485	!-- Above northright corner (xyz distance)
	1486	DO k = nzb_si + 1, nzb_si + vi
[1353]	1487	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
	1488	SQRT( 0.25_wp * (dx2 + dy2) + &
	1489	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1490	ENDDO
	1491	ENDIF
	1492	ENDIF
	1493
	1494	IF ( wall_s(j,i) > 0 ) THEN
	1495	!
	1496	!-- South wall (y distance)
	1497	DO k = wall_s(j,i), nzb_si
[1353]	1498	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), 0.5_wp * dy )
[1]	1499	ENDDO
	1500	!
	1501	!-- Above south wall (yz distance)
[1353]	1502	DO k = nzb_si + 1, nzb_si + vi
	1503	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), &
	1504	SQRT( 0.25_wp * dy**2 + &
[1]	1505	( zu(k) - zw(nzb_si) )**2 ) )
	1506	ENDDO
	1507	!
	1508	!-- Southleft corner (xy distance)
	1509	IF ( corner_sl(j,i) > 0 ) THEN
	1510	DO k = corner_sl(j,i), nzb_si
[1353]	1511	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
	1512	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1513	ENDDO
	1514	!
	1515	!-- Above southleft corner (xyz distance)
	1516	DO k = nzb_si + 1, nzb_si + vi
[1353]	1517	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
	1518	SQRT( 0.25_wp * (dx2 + dy2) + &
	1519	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1520	ENDDO
	1521	ENDIF
	1522	!
	1523	!-- Southright corner (xy distance)
	1524	IF ( corner_sr(j,i) > 0 ) THEN
	1525	DO k = corner_sr(j,i), nzb_si
[1353]	1526	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
	1527	0.5_wp * SQRT( dx2 + dy2 ) )
[1]	1528	ENDDO
	1529	!
	1530	!-- Above southright corner (xyz distance)
	1531	DO k = nzb_si + 1, nzb_si + vi
[1353]	1532	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
	1533	SQRT( 0.25_wp * (dx2 + dy2) + &
	1534	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1535	ENDDO
	1536	ENDIF
	1537
	1538	ENDIF
	1539
	1540	IF ( wall_l(j,i) > 0 ) THEN
	1541	!
	1542	!-- Left wall (x distance)
	1543	DO k = wall_l(j,i), nzb_si
[1353]	1544	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), 0.5_wp * dx )
[1]	1545	ENDDO
	1546	!
	1547	!-- Above left wall (xz distance)
	1548	DO k = nzb_si + 1, nzb_si + vi
[1353]	1549	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), &
	1550	SQRT( 0.25_wp * dx**2 + &
	1551	( zu(k) - zw(nzb_si) )**2 ) )
[1]	1552	ENDDO
	1553	ENDIF
	1554
	1555	IF ( wall_r(j,i) > 0 ) THEN
	1556	!
	1557	!-- Right wall (x distance)
	1558	DO k = wall_r(j,i), nzb_si
[1353]	1559	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), 0.5_wp * dx )
[1]	1560	ENDDO
	1561	!
	1562	!-- Above right wall (xz distance)
	1563	DO k = nzb_si + 1, nzb_si + vi
[1353]	1564	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), &
	1565	SQRT( 0.25_wp * dx**2 + &
[1]	1566	( zu(k) - zw(nzb_si) )**2 ) )
	1567	ENDDO
	1568
	1569	ENDIF
	1570
	1571	ENDDO
	1572	ENDDO
	1573
	1574	ENDIF
	1575
	1576	!
	1577	!-- Multiplication with wall_adjustment_factor
	1578	l_wall = wall_adjustment_factor * l_wall
	1579
	1580	!
[709]	1581	!-- Set lateral boundary conditions for l_wall
[667]	1582	CALL exchange_horiz( l_wall, nbgp )
	1583
[1]	1584	DEALLOCATE( corner_nl, corner_nr, corner_sl, corner_sr, nzb_local, &
[1968]	1585	vertical_influence, wall_l, wall_n, wall_r, wall_s )
[1]	1586
	1587
	1588	END SUBROUTINE init_grid

Note: See TracBrowser for help on using the repository browser.

Download in other formats:

| Impressum | ©Leibniz Universität Hannover |