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source: palm/trunk/SOURCE/init_grid.f90 @ 196

Last change on this file since 196 was 145, checked in by raasch, 17 years ago
second preliminary update for turbulent inflow
Property svn:keywords set to `Id`
File size: 36.3 KB

Rev	Line
[1]	1	SUBROUTINE init_grid
	2
	3	!------------------------------------------------------------------------------!
	4	! Actual revisions:
	5	! -----------------
[139]	6	!
	7	!
	8	! Former revisions:
	9	! -----------------
	10	! $Id: init_grid.f90 145 2008-01-09 08:17:38Z raasch $
	11	!
	12	! 134 2007-11-21 07:28:38Z letzel
[134]	13	! Redefine initial nzb_local as the actual total size of topography (later the
	14	! extent of topography in nzb_local is reduced by 1dx at the E topography walls
	15	! and by 1dy at the N topography walls to form the basis for nzb_s_inner);
	16	! for consistency redefine 'single_building' case.
[114]	17	! Calculation of wall flag arrays
[1]	18	!
[98]	19	! 94 2007-06-01 15:25:22Z raasch
	20	! Grid definition for ocean version
	21	!
[77]	22	! 75 2007-03-22 09:54:05Z raasch
	23	! storage of topography height arrays zu_s_inner and zw_s_inner,
	24	! 2nd+3rd argument removed from exchange horiz
	25	!
[39]	26	! 19 2007-02-23 04:53:48Z raasch
	27	! Setting of nzt_diff
	28	!
[3]	29	! RCS Log replace by Id keyword, revision history cleaned up
	30	!
[1]	31	! Revision 1.17 2006/08/22 14:00:05 raasch
	32	! +dz_max to limit vertical stretching,
	33	! bugfix in index array initialization for line- or point-like topography
	34	! structures
	35	!
	36	! Revision 1.1 1997/08/11 06:17:45 raasch
	37	! Initial revision (Testversion)
	38	!
	39	!
	40	! Description:
	41	! ------------
	42	! Creating grid depending constants
	43	!------------------------------------------------------------------------------!
	44
	45	USE arrays_3d
	46	USE control_parameters
	47	USE grid_variables
	48	USE indices
	49	USE pegrid
	50
	51	IMPLICIT NONE
	52
[114]	53	INTEGER :: bh, blx, bly, bxl, bxr, byn, bys, gls, i, inc, i_center, j, &
	54	j_center, k, l, nxl_l, nxr_l, nyn_l, nys_l, nzb_si, nzt_l, vi
[1]	55
	56	INTEGER, DIMENSION(:), ALLOCATABLE :: vertical_influence
	57
	58	INTEGER, DIMENSION(:,:), ALLOCATABLE :: corner_nl, corner_nr, corner_sl, &
	59	corner_sr, wall_l, wall_n, wall_r,&
	60	wall_s, nzb_local, nzb_tmp
	61
	62	REAL :: dx_l, dy_l, dz_stretched
	63
	64	REAL, DIMENSION(0:ny,0:nx) :: topo_height
	65
	66	REAL, DIMENSION(:,:,:), ALLOCATABLE :: distance
	67
	68	!
	69	!-- Allocate grid arrays
	70	ALLOCATE( ddzu(1:nzt+1), ddzw(1:nzt+1), dd2zu(1:nzt), dzu(1:nzt+1), &
	71	dzw(1:nzt+1), l_grid(1:nzt), zu(0:nzt+1), zw(0:nzt+1) )
	72
	73	!
	74	!-- Compute height of u-levels from constant grid length and dz stretch factors
	75	IF ( dz == -1.0 ) THEN
	76	IF ( myid == 0 ) PRINT*,'+++ init_grid: missing dz'
	77	CALL local_stop
	78	ELSEIF ( dz <= 0.0 ) THEN
	79	IF ( myid == 0 ) PRINT*,'+++ init_grid: dz=',dz,' <= 0.0'
	80	CALL local_stop
	81	ENDIF
[94]	82
[1]	83	!
[94]	84	!-- Define the vertical grid levels
	85	IF ( .NOT. ocean ) THEN
	86	!
	87	!-- Grid for atmosphere with surface at z=0 (k=0, w-grid).
	88	!-- Since the w-level lies on the surface, the first u-level (staggered!)
	89	!-- lies below the surface (used for "mirror" boundary condition).
	90	!-- The first u-level above the surface corresponds to the top of the
	91	!-- Prandtl-layer.
	92	zu(0) = - dz * 0.5
	93	zu(1) = dz * 0.5
[1]	94
[94]	95	dz_stretch_level_index = nzt+1
	96	dz_stretched = dz
	97	DO k = 2, nzt+1
	98	IF ( dz_stretch_level <= zu(k-1) .AND. dz_stretched < dz_max ) THEN
	99	dz_stretched = dz_stretched * dz_stretch_factor
	100	dz_stretched = MIN( dz_stretched, dz_max )
	101	IF ( dz_stretch_level_index == nzt+1 ) dz_stretch_level_index = k-1
	102	ENDIF
	103	zu(k) = zu(k-1) + dz_stretched
	104	ENDDO
[1]	105
	106	!
[94]	107	!-- Compute the w-levels. They are always staggered half-way between the
	108	!-- corresponding u-levels. The top w-level is extrapolated linearly.
	109	zw(0) = 0.0
	110	DO k = 1, nzt
	111	zw(k) = ( zu(k) + zu(k+1) ) * 0.5
	112	ENDDO
	113	zw(nzt+1) = zw(nzt) + 2.0 * ( zu(nzt+1) - zw(nzt) )
[1]	114
[94]	115	ELSE
[1]	116	!
[94]	117	!-- Grid for ocean with solid surface at z=0 (k=0, w-grid). The free water
	118	!-- surface is at k=nzt (w-grid).
	119	!-- Since the w-level lies always on the surface, the first/last u-level
	120	!-- (staggered!) lies below the bottom surface / above the free surface.
	121	!-- It is used for "mirror" boundary condition.
	122	!-- The first u-level above the bottom surface corresponds to the top of the
	123	!-- Prandtl-layer.
	124	zu(nzt+1) = dz * 0.5
	125	zu(nzt) = - dz * 0.5
	126
	127	dz_stretch_level_index = 0
	128	dz_stretched = dz
	129	DO k = nzt-1, 0, -1
	130	IF ( dz_stretch_level <= ABS( zu(k+1) ) .AND. &
	131	dz_stretched < dz_max ) THEN
	132	dz_stretched = dz_stretched * dz_stretch_factor
	133	dz_stretched = MIN( dz_stretched, dz_max )
	134	IF ( dz_stretch_level_index == 0 ) dz_stretch_level_index = k+1
	135	ENDIF
	136	zu(k) = zu(k+1) - dz_stretched
	137	ENDDO
	138
	139	!
	140	!-- Compute the w-levels. They are always staggered half-way between the
	141	!-- corresponding u-levels.
	142	!-- The top w-level (nzt+1) is not used but set for consistency, since
	143	!-- w and all scalar variables are defined up tp nzt+1.
	144	zw(nzt+1) = dz
	145	zw(nzt) = 0.0
	146	DO k = 0, nzt
	147	zw(k) = ( zu(k) + zu(k+1) ) * 0.5
	148	ENDDO
	149
	150	ENDIF
	151
	152	!
[1]	153	!-- Compute grid lengths.
	154	DO k = 1, nzt+1
	155	dzu(k) = zu(k) - zu(k-1)
	156	ddzu(k) = 1.0 / dzu(k)
	157	dzw(k) = zw(k) - zw(k-1)
	158	ddzw(k) = 1.0 / dzw(k)
	159	ENDDO
	160
	161	DO k = 1, nzt
	162	dd2zu(k) = 1.0 / ( dzu(k) + dzu(k+1) )
	163	ENDDO
	164
	165	!
	166	!-- In case of multigrid method, compute grid lengths and grid factors for the
	167	!-- grid levels
	168	IF ( psolver == 'multigrid' ) THEN
	169
	170	ALLOCATE( ddx2_mg(maximum_grid_level), ddy2_mg(maximum_grid_level), &
	171	dzu_mg(nzb+1:nzt+1,maximum_grid_level), &
	172	dzw_mg(nzb+1:nzt+1,maximum_grid_level), &
	173	f1_mg(nzb+1:nzt,maximum_grid_level), &
	174	f2_mg(nzb+1:nzt,maximum_grid_level), &
	175	f3_mg(nzb+1:nzt,maximum_grid_level) )
	176
	177	dzu_mg(:,maximum_grid_level) = dzu
	178	dzw_mg(:,maximum_grid_level) = dzw
	179	nzt_l = nzt
	180	DO l = maximum_grid_level-1, 1, -1
	181	dzu_mg(nzb+1,l) = 2.0 * dzu_mg(nzb+1,l+1)
	182	dzw_mg(nzb+1,l) = 2.0 * dzw_mg(nzb+1,l+1)
	183	nzt_l = nzt_l / 2
	184	DO k = 2, nzt_l+1
	185	dzu_mg(k,l) = dzu_mg(2k-2,l+1) + dzu_mg(2k-1,l+1)
	186	dzw_mg(k,l) = dzw_mg(2k-2,l+1) + dzw_mg(2k-1,l+1)
	187	ENDDO
	188	ENDDO
	189
	190	nzt_l = nzt
	191	dx_l = dx
	192	dy_l = dy
	193	DO l = maximum_grid_level, 1, -1
	194	ddx2_mg(l) = 1.0 / dx_l**2
	195	ddy2_mg(l) = 1.0 / dy_l**2
	196	DO k = nzb+1, nzt_l
	197	f2_mg(k,l) = 1.0 / ( dzu_mg(k+1,l) * dzw_mg(k,l) )
	198	f3_mg(k,l) = 1.0 / ( dzu_mg(k,l) * dzw_mg(k,l) )
	199	f1_mg(k,l) = 2.0 * ( ddx2_mg(l) + ddy2_mg(l) ) + &
	200	f2_mg(k,l) + f3_mg(k,l)
	201	ENDDO
	202	nzt_l = nzt_l / 2
	203	dx_l = dx_l * 2.0
	204	dy_l = dy_l * 2.0
	205	ENDDO
	206
	207	ENDIF
	208
	209	!
	210	!-- Compute the reciprocal values of the horizontal grid lengths.
	211	ddx = 1.0 / dx
	212	ddy = 1.0 / dy
	213	dx2 = dx * dx
	214	dy2 = dy * dy
	215	ddx2 = 1.0 / dx2
	216	ddy2 = 1.0 / dy2
	217
	218	!
	219	!-- Compute the grid-dependent mixing length.
	220	DO k = 1, nzt
	221	l_grid(k) = ( dx * dy * dzw(k) )**0.33333333333333
	222	ENDDO
	223
	224	!
	225	!-- Allocate outer and inner index arrays for topography and set
[114]	226	!-- defaults.
	227	!-- nzb_local has to contain additional layers of ghost points for calculating
	228	!-- the flag arrays needed for the multigrid method
	229	gls = 2**( maximum_grid_level )
	230	ALLOCATE( corner_nl(nys:nyn,nxl:nxr), corner_nr(nys:nyn,nxl:nxr), &
	231	corner_sl(nys:nyn,nxl:nxr), corner_sr(nys:nyn,nxl:nxr), &
	232	nzb_local(-gls:ny+gls,-gls:nx+gls), nzb_tmp(-1:ny+1,-1:nx+1), &
	233	wall_l(nys:nyn,nxl:nxr), wall_n(nys:nyn,nxl:nxr), &
[1]	234	wall_r(nys:nyn,nxl:nxr), wall_s(nys:nyn,nxl:nxr) )
	235	ALLOCATE( fwxm(nys-1:nyn+1,nxl-1:nxr+1), fwxp(nys-1:nyn+1,nxl-1:nxr+1), &
	236	fwym(nys-1:nyn+1,nxl-1:nxr+1), fwyp(nys-1:nyn+1,nxl-1:nxr+1), &
	237	fxm(nys-1:nyn+1,nxl-1:nxr+1), fxp(nys-1:nyn+1,nxl-1:nxr+1), &
	238	fym(nys-1:nyn+1,nxl-1:nxr+1), fyp(nys-1:nyn+1,nxl-1:nxr+1), &
	239	nzb_s_inner(nys-1:nyn+1,nxl-1:nxr+1), &
	240	nzb_s_outer(nys-1:nyn+1,nxl-1:nxr+1), &
	241	nzb_u_inner(nys-1:nyn+1,nxl-1:nxr+1), &
	242	nzb_u_outer(nys-1:nyn+1,nxl-1:nxr+1), &
	243	nzb_v_inner(nys-1:nyn+1,nxl-1:nxr+1), &
	244	nzb_v_outer(nys-1:nyn+1,nxl-1:nxr+1), &
	245	nzb_w_inner(nys-1:nyn+1,nxl-1:nxr+1), &
	246	nzb_w_outer(nys-1:nyn+1,nxl-1:nxr+1), &
	247	nzb_diff_s_inner(nys-1:nyn+1,nxl-1:nxr+1), &
	248	nzb_diff_s_outer(nys-1:nyn+1,nxl-1:nxr+1), &
	249	nzb_diff_u(nys-1:nyn+1,nxl-1:nxr+1), &
	250	nzb_diff_v(nys-1:nyn+1,nxl-1:nxr+1), &
	251	nzb_2d(nys-1:nyn+1,nxl-1:nxr+1), &
	252	wall_e_x(nys-1:nyn+1,nxl-1:nxr+1), &
	253	wall_e_y(nys-1:nyn+1,nxl-1:nxr+1), &
	254	wall_u(nys-1:nyn+1,nxl-1:nxr+1), &
	255	wall_v(nys-1:nyn+1,nxl-1:nxr+1), &
	256	wall_w_x(nys-1:nyn+1,nxl-1:nxr+1), &
	257	wall_w_y(nys-1:nyn+1,nxl-1:nxr+1) )
	258
	259	ALLOCATE( l_wall(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
	260
	261	nzb_s_inner = nzb; nzb_s_outer = nzb
	262	nzb_u_inner = nzb; nzb_u_outer = nzb
	263	nzb_v_inner = nzb; nzb_v_outer = nzb
	264	nzb_w_inner = nzb; nzb_w_outer = nzb
	265
	266	!
[19]	267	!-- Define vertical gridpoint from (or to) which on the usual finite difference
[1]	268	!-- form (which does not use surface fluxes) is applied
	269	IF ( prandtl_layer .OR. use_surface_fluxes ) THEN
	270	nzb_diff = nzb + 2
	271	ELSE
	272	nzb_diff = nzb + 1
	273	ENDIF
[19]	274	IF ( use_top_fluxes ) THEN
	275	nzt_diff = nzt - 1
	276	ELSE
	277	nzt_diff = nzt
	278	ENDIF
[1]	279
	280	nzb_diff_s_inner = nzb_diff; nzb_diff_s_outer = nzb_diff
	281	nzb_diff_u = nzb_diff; nzb_diff_v = nzb_diff
	282
	283	wall_e_x = 0.0; wall_e_y = 0.0; wall_u = 0.0; wall_v = 0.0
	284	wall_w_x = 0.0; wall_w_y = 0.0
	285	fwxp = 1.0; fwxm = 1.0; fwyp = 1.0; fwym = 1.0
	286	fxp = 1.0; fxm = 1.0; fyp = 1.0; fym = 1.0
	287
	288	!
	289	!-- Initialize near-wall mixing length l_wall only in the vertical direction
	290	!-- for the moment,
	291	!-- multiplication with wall_adjustment_factor near the end of this routine
	292	l_wall(nzb,:,:) = l_grid(1)
	293	DO k = nzb+1, nzt
	294	l_wall(k,:,:) = l_grid(k)
	295	ENDDO
	296	l_wall(nzt+1,:,:) = l_grid(nzt)
	297
	298	ALLOCATE ( vertical_influence(nzb:nzt) )
	299	DO k = 1, nzt
	300	vertical_influence(k) = MIN ( INT( l_grid(k) / &
	301	( wall_adjustment_factor * dzw(k) ) + 0.5 ), nzt - k )
	302	ENDDO
	303
	304	DO k = 1, MAXVAL( nzb_s_inner )
	305	IF ( l_grid(k) > 1.5 * dx * wall_adjustment_factor .OR. &
	306	l_grid(k) > 1.5 * dy * wall_adjustment_factor ) THEN
	307	IF ( myid == 0 ) THEN
	308	PRINT*, '+++ WARNING: grid anisotropy exceeds '// &
	309	'threshold given by only local'
	310	PRINT*, ' horizontal reduction of near_wall '// &
	311	'mixing length l_wall'
	312	PRINT*, ' starting from height level k = ', k, '.'
	313	ENDIF
	314	EXIT
	315	ENDIF
	316	ENDDO
	317	vertical_influence(0) = vertical_influence(1)
	318
	319	DO i = nxl-1, nxr+1
	320	DO j = nys-1, nyn+1
	321	DO k = nzb_s_inner(j,i) + 1, &
	322	nzb_s_inner(j,i) + vertical_influence(nzb_s_inner(j,i))
	323	l_wall(k,j,i) = zu(k) - zw(nzb_s_inner(j,i))
	324	ENDDO
	325	ENDDO
	326	ENDDO
	327
	328	!
	329	!-- Set outer and inner index arrays for non-flat topography.
	330	!-- Here consistency checks concerning domain size and periodicity are
	331	!-- necessary.
	332	!-- Within this SELECT CASE structure only nzb_local is initialized
	333	!-- individually depending on the chosen topography type, all other index
	334	!-- arrays are initialized further below.
	335	SELECT CASE ( TRIM( topography ) )
	336
	337	CASE ( 'flat' )
	338	!
	339	!-- No actions necessary
	340
	341	CASE ( 'single_building' )
	342	!
	343	!-- Single rectangular building, by default centered in the middle of the
	344	!-- total domain
	345	blx = NINT( building_length_x / dx )
	346	bly = NINT( building_length_y / dy )
	347	bh = NINT( building_height / dz )
	348
	349	IF ( building_wall_left == 9999999.9 ) THEN
	350	building_wall_left = ( nx + 1 - blx ) / 2 * dx
	351	ENDIF
	352	bxl = NINT( building_wall_left / dx )
	353	bxr = bxl + blx
	354
	355	IF ( building_wall_south == 9999999.9 ) THEN
	356	building_wall_south = ( ny + 1 - bly ) / 2 * dy
	357	ENDIF
	358	bys = NINT( building_wall_south / dy )
	359	byn = bys + bly
	360
	361	!
	362	!-- Building size has to meet some requirements
	363	IF ( ( bxl < 1 ) .OR. ( bxr > nx-1 ) .OR. ( bxr < bxl+3 ) .OR. &
	364	( bys < 1 ) .OR. ( byn > ny-1 ) .OR. ( byn < bys+3 ) ) THEN
	365	IF ( myid == 0 ) THEN
	366	PRINT*, '+++ init_grid: inconsistent building parameters:'
	367	PRINT*, ' bxl=', bxl, 'bxr=', bxr, 'bys=', bys, &
	368	'byn=', byn, 'nx=', nx, 'ny=', ny
	369	ENDIF
	370	CALL local_stop
	371	ENDIF
	372
	373	!
[134]	374	!-- Set the actual total size of the building. Due to the staggered grid,
	375	!-- the building will be displaced by -0.5dx in x-direction and by -0.5dy
	376	!-- in y-direction compared to the scalar grid.
[1]	377	nzb_local = 0
[134]	378	nzb_local(bys:byn,bxl:bxr) = bh
[1]	379
	380	CASE ( 'read_from_file' )
	381	!
	382	!-- Arbitrary irregular topography data in PALM format (exactly matching
	383	!-- the grid size and total domain size)
	384	OPEN( 90, FILE='TOPOGRAPHY_DATA', STATUS='OLD', FORM='FORMATTED', &
	385	ERR=10 )
	386	DO j = ny, 0, -1
	387	READ( 90, *, ERR=11, END=11 ) ( topo_height(j,i), i = 0, nx )
	388	ENDDO
	389	!
	390	!-- Calculate the index height of the topography
	391	DO i = 0, nx
	392	DO j = 0, ny
	393	nzb_local(j,i) = NINT( topo_height(j,i) / dz )
	394	ENDDO
	395	ENDDO
[114]	396	!
	397	!-- Add cyclic boundaries (additional layers are for calculating flag
	398	!-- arrays needed for the multigrid sover)
	399	nzb_local(-gls:-1,0:nx) = nzb_local(ny-gls+1:ny,0:nx)
	400	nzb_local(ny+1:ny+gls,0:nx) = nzb_local(0:gls-1,0:nx)
	401	nzb_local(:,-gls:-1) = nzb_local(:,nx-gls+1:nx)
	402	nzb_local(:,nx+1:nx+gls) = nzb_local(:,0:gls-1)
[1]	403
	404	GOTO 12
	405
	406	10 IF ( myid == 0 ) THEN
	407	PRINT*, '+++ init_grid: file TOPOGRAPHY_DATA does not exist'
	408	ENDIF
	409	CALL local_stop
	410
	411	11 IF ( myid == 0 ) THEN
	412	PRINT*, '+++ init_grid: errors in file TOPOGRAPHY_DATA'
	413	ENDIF
	414	CALL local_stop
	415
	416	12 CLOSE( 90 )
	417
	418	CASE DEFAULT
	419	!
	420	!-- The DEFAULT case is reached either if the parameter topography
	421	!-- contains a wrong character string or if the user has coded a special
	422	!-- case in the user interface. There, the subroutine user_init_grid
	423	!-- checks which of these two conditions applies.
[114]	424	CALL user_init_grid( gls, nzb_local )
[1]	425
	426	END SELECT
	427
	428	!
[114]	429	!-- Test output of nzb_local -1:ny+1,-1:nx+1
[145]	430	! WRITE (9,) ' nzb_local *'
	431	! DO j = ny+1, -1, -1
	432	! WRITE (9,'(194(1X,I2))') ( nzb_local(j,i), i = -1, nx+1 )
	433	! ENDDO
[114]	434
	435	!
[1]	436	!-- Consistency checks and index array initialization are only required for
[49]	437	!-- non-flat topography, also the initialization of topography heigth arrays
	438	!-- zu_s_inner and zw_w_inner
[1]	439	IF ( TRIM( topography ) /= 'flat' ) THEN
	440
	441	!
	442	!-- Consistency checks
	443	IF ( MINVAL( nzb_local ) < 0 .OR. MAXVAL( nzb_local ) > nz + 1 ) THEN
	444	IF ( myid == 0 ) THEN
	445	PRINT*, '+++ init_grid: nzb_local values are outside the', &
	446	'model domain'
	447	PRINT*, ' MINVAL( nzb_local ) = ', MINVAL(nzb_local)
	448	PRINT*, ' MAXVAL( nzb_local ) = ', MAXVAL(nzb_local)
	449	ENDIF
	450	CALL local_stop
	451	ENDIF
	452
	453	IF ( bc_lr == 'cyclic' ) THEN
	454	IF ( ANY( nzb_local(:,-1) /= nzb_local(:,nx) ) .OR. &
	455	ANY( nzb_local(:,0) /= nzb_local(:,nx+1) ) ) THEN
	456	IF ( myid == 0 ) THEN
	457	PRINT*, '+++ init_grid: nzb_local does not fulfill cyclic', &
	458	' boundary condition in x-direction'
	459	ENDIF
	460	CALL local_stop
	461	ENDIF
	462	ENDIF
	463	IF ( bc_ns == 'cyclic' ) THEN
	464	IF ( ANY( nzb_local(-1,:) /= nzb_local(ny,:) ) .OR. &
	465	ANY( nzb_local(0,:) /= nzb_local(ny+1,:) ) ) THEN
	466	IF ( myid == 0 ) THEN
	467	PRINT*, '+++ init_grid: nzb_local does not fulfill cyclic', &
	468	' boundary condition in y-direction'
	469	ENDIF
	470	CALL local_stop
	471	ENDIF
	472	ENDIF
	473
[134]	474	!
	475	!-- The array nzb_local as defined above describes the actual total size of
	476	!-- topography which is defined by u=0 on the topography walls in x-direction
	477	!-- and by v=0 on the topography walls in y-direction. However, PALM uses
	478	!-- individual arrays nzb_u\|v\|w\|s_inner\|outer that are based on nzb_s_inner.
	479	!-- Therefore, the extent of topography in nzb_local is now reduced by 1dx
	480	!-- at the E topography walls and by 1dy at the N topography walls to form
	481	!-- the basis for nzb_s_inner.
	482	DO j = -gls, ny + gls
	483	DO i = -gls, nx
	484	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j,i+1) )
	485	ENDDO
	486	ENDDO
	487	!-- apply cyclic boundary conditions in x-direction
	488	nzb_local(:,nx+1:nx+gls) = nzb_local(:,0:gls-1)
	489	DO i = -gls, nx + gls
	490	DO j = -gls, ny
	491	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j+1,i) )
	492	ENDDO
	493	ENDDO
	494	!-- apply cyclic boundary conditions in y-direction
	495	nzb_local(ny+1:ny+gls,:) = nzb_local(0:gls-1,:)
	496
[1]	497	!
	498	!-- Initialize index arrays nzb_s_inner and nzb_w_inner
	499	nzb_s_inner = nzb_local(nys-1:nyn+1,nxl-1:nxr+1)
	500	nzb_w_inner = nzb_local(nys-1:nyn+1,nxl-1:nxr+1)
	501
	502	!
	503	!-- Initialize remaining index arrays:
	504	!-- first pre-initialize them with nzb_s_inner...
	505	nzb_u_inner = nzb_s_inner
	506	nzb_u_outer = nzb_s_inner
	507	nzb_v_inner = nzb_s_inner
	508	nzb_v_outer = nzb_s_inner
	509	nzb_w_outer = nzb_s_inner
	510	nzb_s_outer = nzb_s_inner
	511
	512	!
	513	!-- ...then extend pre-initialized arrays in their according directions
	514	!-- based on nzb_local using nzb_tmp as a temporary global index array
	515
	516	!
	517	!-- nzb_s_outer:
	518	!-- extend nzb_local east-/westwards first, then north-/southwards
[114]	519	nzb_tmp = nzb_local(-1:ny+1,-1:nx+1)
[1]	520	DO j = -1, ny + 1
	521	DO i = 0, nx
	522	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i), &
	523	nzb_local(j,i+1) )
	524	ENDDO
	525	ENDDO
	526	DO i = nxl, nxr
	527	DO j = nys, nyn
	528	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
	529	nzb_tmp(j+1,i) )
	530	ENDDO
	531	!
	532	!-- non-cyclic boundary conditions (overwritten by call of
	533	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	534	IF ( nys == 0 ) THEN
	535	j = -1
	536	nzb_s_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
	537	ENDIF
	538	IF ( nys == ny ) THEN
	539	j = ny + 1
	540	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
	541	ENDIF
	542	ENDDO
	543	!
	544	!-- nzb_w_outer:
	545	!-- identical to nzb_s_outer
	546	nzb_w_outer = nzb_s_outer
	547
	548	!
	549	!-- nzb_u_inner:
	550	!-- extend nzb_local rightwards only
[114]	551	nzb_tmp = nzb_local(-1:ny+1,-1:nx+1)
[1]	552	DO j = -1, ny + 1
	553	DO i = 0, nx + 1
	554	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i) )
	555	ENDDO
	556	ENDDO
	557	nzb_u_inner = nzb_tmp(nys-1:nyn+1,nxl-1:nxr+1)
	558
	559	!
	560	!-- nzb_u_outer:
	561	!-- extend current nzb_tmp (nzb_u_inner) north-/southwards
	562	DO i = nxl, nxr
	563	DO j = nys, nyn
	564	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
	565	nzb_tmp(j+1,i) )
	566	ENDDO
	567	!
	568	!-- non-cyclic boundary conditions (overwritten by call of
	569	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	570	IF ( nys == 0 ) THEN
	571	j = -1
	572	nzb_u_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
	573	ENDIF
	574	IF ( nys == ny ) THEN
	575	j = ny + 1
	576	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
	577	ENDIF
	578	ENDDO
	579
	580	!
	581	!-- nzb_v_inner:
	582	!-- extend nzb_local northwards only
[114]	583	nzb_tmp = nzb_local(-1:ny+1,-1:nx+1)
[1]	584	DO i = -1, nx + 1
	585	DO j = 0, ny + 1
	586	nzb_tmp(j,i) = MAX( nzb_local(j-1,i), nzb_local(j,i) )
	587	ENDDO
	588	ENDDO
	589	nzb_v_inner = nzb_tmp(nys-1:nyn+1,nxl-1:nxr+1)
	590
	591	!
	592	!-- nzb_v_outer:
	593	!-- extend current nzb_tmp (nzb_v_inner) right-/leftwards
	594	DO j = nys, nyn
	595	DO i = nxl, nxr
	596	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i), &
	597	nzb_tmp(j,i+1) )
	598	ENDDO
	599	!
	600	!-- non-cyclic boundary conditions (overwritten by call of
	601	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	602	IF ( nxl == 0 ) THEN
	603	i = -1
	604	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i+1), nzb_tmp(j,i) )
	605	ENDIF
	606	IF ( nxr == nx ) THEN
	607	i = nx + 1
	608	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i) )
	609	ENDIF
	610	ENDDO
	611
	612	!
	613	!-- Exchange of lateral boundary values (parallel computers) and cyclic
	614	!-- boundary conditions, if applicable.
	615	!-- Since nzb_s_inner and nzb_w_inner are derived directly from nzb_local
	616	!-- they do not require exchange and are not included here.
	617	CALL exchange_horiz_2d_int( nzb_u_inner )
	618	CALL exchange_horiz_2d_int( nzb_u_outer )
	619	CALL exchange_horiz_2d_int( nzb_v_inner )
	620	CALL exchange_horiz_2d_int( nzb_v_outer )
	621	CALL exchange_horiz_2d_int( nzb_w_outer )
	622	CALL exchange_horiz_2d_int( nzb_s_outer )
	623
[49]	624	!
	625	!-- Allocate and set the arrays containing the topography height
	626	IF ( myid == 0 ) THEN
	627
	628	ALLOCATE( zu_s_inner(0:nx+1,0:ny+1), zw_w_inner(0:nx+1,0:ny+1) )
	629
	630	DO i = 0, nx + 1
	631	DO j = 0, ny + 1
	632	zu_s_inner(i,j) = zu(nzb_local(j,i))
	633	zw_w_inner(i,j) = zw(nzb_local(j,i))
	634	ENDDO
	635	ENDDO
	636
	637	ENDIF
	638
[1]	639	ENDIF
	640
	641	!
	642	!-- Preliminary: to be removed after completion of the topography code!
	643	!-- Set the former default k index arrays nzb_2d
	644	nzb_2d = nzb
	645
	646	!
	647	!-- Set the individual index arrays which define the k index from which on
	648	!-- the usual finite difference form (which does not use surface fluxes) is
	649	!-- applied
	650	IF ( prandtl_layer .OR. use_surface_fluxes ) THEN
	651	nzb_diff_u = nzb_u_inner + 2
	652	nzb_diff_v = nzb_v_inner + 2
	653	nzb_diff_s_inner = nzb_s_inner + 2
	654	nzb_diff_s_outer = nzb_s_outer + 2
	655	ELSE
	656	nzb_diff_u = nzb_u_inner + 1
	657	nzb_diff_v = nzb_v_inner + 1
	658	nzb_diff_s_inner = nzb_s_inner + 1
	659	nzb_diff_s_outer = nzb_s_outer + 1
	660	ENDIF
	661
	662	!
	663	!-- Calculation of wall switches and factors required by diffusion_u/v.f90 and
	664	!-- for limitation of near-wall mixing length l_wall further below
	665	corner_nl = 0
	666	corner_nr = 0
	667	corner_sl = 0
	668	corner_sr = 0
	669	wall_l = 0
	670	wall_n = 0
	671	wall_r = 0
	672	wall_s = 0
	673
	674	DO i = nxl, nxr
	675	DO j = nys, nyn
	676	!
	677	!-- u-component
	678	IF ( nzb_u_outer(j,i) > nzb_u_outer(j+1,i) ) THEN
	679	wall_u(j,i) = 1.0 ! north wall (location of adjacent fluid)
	680	fym(j,i) = 0.0
	681	fyp(j,i) = 1.0
	682	ELSEIF ( nzb_u_outer(j,i) > nzb_u_outer(j-1,i) ) THEN
	683	wall_u(j,i) = 1.0 ! south wall (location of adjacent fluid)
	684	fym(j,i) = 1.0
	685	fyp(j,i) = 0.0
	686	ENDIF
	687	!
	688	!-- v-component
	689	IF ( nzb_v_outer(j,i) > nzb_v_outer(j,i+1) ) THEN
	690	wall_v(j,i) = 1.0 ! rigth wall (location of adjacent fluid)
	691	fxm(j,i) = 0.0
	692	fxp(j,i) = 1.0
	693	ELSEIF ( nzb_v_outer(j,i) > nzb_v_outer(j,i-1) ) THEN
	694	wall_v(j,i) = 1.0 ! left wall (location of adjacent fluid)
	695	fxm(j,i) = 1.0
	696	fxp(j,i) = 0.0
	697	ENDIF
	698	!
	699	!-- w-component, also used for scalars, separate arrays for shear
	700	!-- production of tke
	701	IF ( nzb_w_outer(j,i) > nzb_w_outer(j+1,i) ) THEN
	702	wall_e_y(j,i) = 1.0 ! north wall (location of adjacent fluid)
	703	wall_w_y(j,i) = 1.0
	704	fwym(j,i) = 0.0
	705	fwyp(j,i) = 1.0
	706	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j-1,i) ) THEN
	707	wall_e_y(j,i) = -1.0 ! south wall (location of adjacent fluid)
	708	wall_w_y(j,i) = 1.0
	709	fwym(j,i) = 1.0
	710	fwyp(j,i) = 0.0
	711	ENDIF
	712	IF ( nzb_w_outer(j,i) > nzb_w_outer(j,i+1) ) THEN
	713	wall_e_x(j,i) = 1.0 ! right wall (location of adjacent fluid)
	714	wall_w_x(j,i) = 1.0
	715	fwxm(j,i) = 0.0
	716	fwxp(j,i) = 1.0
	717	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j,i-1) ) THEN
	718	wall_e_x(j,i) = -1.0 ! left wall (location of adjacent fluid)
	719	wall_w_x(j,i) = 1.0
	720	fwxm(j,i) = 1.0
	721	fwxp(j,i) = 0.0
	722	ENDIF
	723	!
	724	!-- Wall and corner locations inside buildings for limitation of
	725	!-- near-wall mixing length l_wall
	726	IF ( nzb_s_inner(j,i) > nzb_s_inner(j+1,i) ) THEN
	727
	728	wall_n(j,i) = nzb_s_inner(j+1,i) + 1 ! North wall
	729
	730	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	731	corner_nl(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northleft corner
	732	nzb_s_inner(j,i-1) ) + 1
	733	ENDIF
	734
	735	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	736	corner_nr(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northright corner
	737	nzb_s_inner(j,i+1) ) + 1
	738	ENDIF
	739
	740	ENDIF
	741
	742	IF ( nzb_s_inner(j,i) > nzb_s_inner(j-1,i) ) THEN
	743
	744	wall_s(j,i) = nzb_s_inner(j-1,i) + 1 ! South wall
	745	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	746	corner_sl(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southleft corner
	747	nzb_s_inner(j,i-1) ) + 1
	748	ENDIF
	749
	750	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	751	corner_sr(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southright corner
	752	nzb_s_inner(j,i+1) ) + 1
	753	ENDIF
	754
	755	ENDIF
	756
	757	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	758	wall_l(j,i) = nzb_s_inner(j,i-1) + 1 ! Left wall
	759	ENDIF
	760
	761	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	762	wall_r(j,i) = nzb_s_inner(j,i+1) + 1 ! Right wall
	763	ENDIF
	764
	765	ENDDO
	766	ENDDO
	767
	768	!
[114]	769	!-- Calculate wall flag arrays for the multigrid method
	770	IF ( psolver == 'multigrid' ) THEN
	771	!
	772	!-- Gridpoint increment of the current level
	773	inc = 1
	774
	775	DO l = maximum_grid_level, 1 , -1
	776
	777	nxl_l = nxl_mg(l)
	778	nxr_l = nxr_mg(l)
	779	nys_l = nys_mg(l)
	780	nyn_l = nyn_mg(l)
	781	nzt_l = nzt_mg(l)
	782
	783	!
	784	!-- Assign the flag level to be calculated
	785	SELECT CASE ( l )
	786	CASE ( 1 )
	787	flags => wall_flags_1
	788	CASE ( 2 )
	789	flags => wall_flags_2
	790	CASE ( 3 )
	791	flags => wall_flags_3
	792	CASE ( 4 )
	793	flags => wall_flags_4
	794	CASE ( 5 )
	795	flags => wall_flags_5
	796	CASE ( 6 )
	797	flags => wall_flags_6
	798	CASE ( 7 )
	799	flags => wall_flags_7
	800	CASE ( 8 )
	801	flags => wall_flags_8
	802	CASE ( 9 )
	803	flags => wall_flags_9
	804	CASE ( 10 )
	805	flags => wall_flags_10
	806	END SELECT
	807
	808	!
	809	!-- Depending on the grid level, set the respective bits in case of
	810	!-- neighbouring walls
	811	!-- Bit 0: wall to the bottom
	812	!-- Bit 1: wall to the top (not realized in remaining PALM code so far)
	813	!-- Bit 2: wall to the south
	814	!-- Bit 3: wall to the north
	815	!-- Bit 4: wall to the left
	816	!-- Bit 5: wall to the right
[116]	817	!-- Bit 6: inside building
[114]	818
	819	flags = 0
	820
	821	DO i = nxl_l-1, nxr_l+1
	822	DO j = nys_l-1, nyn_l+1
	823	DO k = nzb, nzt_l+1
	824
	825	!
	826	!-- Inside/outside building (inside building does not need
	827	!-- further tests for walls)
	828	IF ( kinc <= nzb_local(jinc,i*inc) ) THEN
	829
	830	flags(k,j,i) = IBSET( flags(k,j,i), 6 )
	831
	832	ELSE
	833	!
	834	!-- Bottom wall
	835	IF ( (k-1)inc <= nzb_local(jinc,i*inc) ) THEN
	836	flags(k,j,i) = IBSET( flags(k,j,i), 0 )
	837	ENDIF
	838	!
	839	!-- South wall
	840	IF ( kinc <= nzb_local((j-1)inc,i*inc) ) THEN
	841	flags(k,j,i) = IBSET( flags(k,j,i), 2 )
	842	ENDIF
	843	!
	844	!-- North wall
	845	IF ( kinc <= nzb_local((j+1)inc,i*inc) ) THEN
	846	flags(k,j,i) = IBSET( flags(k,j,i), 3 )
	847	ENDIF
	848	!
	849	!-- Left wall
	850	IF ( kinc <= nzb_local(jinc,(i-1)*inc) ) THEN
	851	flags(k,j,i) = IBSET( flags(k,j,i), 4 )
	852	ENDIF
	853	!
	854	!-- Right wall
	855	IF ( kinc <= nzb_local(jinc,(i+1)*inc) ) THEN
	856	flags(k,j,i) = IBSET( flags(k,j,i), 5 )
	857	ENDIF
	858
	859	ENDIF
	860
	861	ENDDO
	862	ENDDO
	863	ENDDO
	864
	865	!
	866	!-- Test output of flag arrays
[145]	867	! i = nxl_l
	868	! WRITE (9,*) ' '
	869	! WRITE (9,) ' mg level ', l, ' *', mg_switch_to_pe0_level
	870	! WRITE (9,*) ' inc=', inc, ' i =', nxl_l
	871	! WRITE (9,*) ' nxl_l',nxl_l,' nxr_l=',nxr_l,' nys_l=',nys_l,' nyn_l=',nyn_l
	872	! DO k = nzt_l+1, nzb, -1
	873	! WRITE (9,'(194(1X,I2))') ( flags(k,j,i), j = nys_l-1, nyn_l+1 )
	874	! ENDDO
[114]	875
	876	inc = inc * 2
	877
	878	ENDDO
	879
	880	ENDIF
	881
	882	!
[1]	883	!-- In case of topography: limit near-wall mixing length l_wall further:
	884	!-- Go through all points of the subdomain one by one and look for the closest
	885	!-- surface
	886	IF ( TRIM(topography) /= 'flat' ) THEN
	887	DO i = nxl, nxr
	888	DO j = nys, nyn
	889
	890	nzb_si = nzb_s_inner(j,i)
	891	vi = vertical_influence(nzb_si)
	892
	893	IF ( wall_n(j,i) > 0 ) THEN
	894	!
	895	!-- North wall (y distance)
	896	DO k = wall_n(j,i), nzb_si
	897	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), 0.5 * dy )
	898	ENDDO
	899	!
	900	!-- Above North wall (yz distance)
	901	DO k = nzb_si + 1, nzb_si + vi
	902	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), &
	903	SQRT( 0.25 * dy**2 + &
	904	( zu(k) - zw(nzb_si) )**2 ) )
	905	ENDDO
	906	!
	907	!-- Northleft corner (xy distance)
	908	IF ( corner_nl(j,i) > 0 ) THEN
	909	DO k = corner_nl(j,i), nzb_si
	910	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
	911	0.5 * SQRT( dx2 + dy2 ) )
	912	ENDDO
	913	!
	914	!-- Above Northleft corner (xyz distance)
	915	DO k = nzb_si + 1, nzb_si + vi
	916	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
	917	SQRT( 0.25 * (dx2 + dy2) + &
	918	( zu(k) - zw(nzb_si) )**2 ) )
	919	ENDDO
	920	ENDIF
	921	!
	922	!-- Northright corner (xy distance)
	923	IF ( corner_nr(j,i) > 0 ) THEN
	924	DO k = corner_nr(j,i), nzb_si
	925	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
	926	0.5 * SQRT( dx2 + dy2 ) )
	927	ENDDO
	928	!
	929	!-- Above northright corner (xyz distance)
	930	DO k = nzb_si + 1, nzb_si + vi
	931	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
	932	SQRT( 0.25 * (dx2 + dy2) + &
	933	( zu(k) - zw(nzb_si) )**2 ) )
	934	ENDDO
	935	ENDIF
	936	ENDIF
	937
	938	IF ( wall_s(j,i) > 0 ) THEN
	939	!
	940	!-- South wall (y distance)
	941	DO k = wall_s(j,i), nzb_si
	942	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), 0.5 * dy )
	943	ENDDO
	944	!
	945	!-- Above south wall (yz distance)
	946	DO k = nzb_si + 1, &
	947	nzb_si + vi
	948	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), &
	949	SQRT( 0.25 * dy**2 + &
	950	( zu(k) - zw(nzb_si) )**2 ) )
	951	ENDDO
	952	!
	953	!-- Southleft corner (xy distance)
	954	IF ( corner_sl(j,i) > 0 ) THEN
	955	DO k = corner_sl(j,i), nzb_si
	956	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
	957	0.5 * SQRT( dx2 + dy2 ) )
	958	ENDDO
	959	!
	960	!-- Above southleft corner (xyz distance)
	961	DO k = nzb_si + 1, nzb_si + vi
	962	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
	963	SQRT( 0.25 * (dx2 + dy2) + &
	964	( zu(k) - zw(nzb_si) )**2 ) )
	965	ENDDO
	966	ENDIF
	967	!
	968	!-- Southright corner (xy distance)
	969	IF ( corner_sr(j,i) > 0 ) THEN
	970	DO k = corner_sr(j,i), nzb_si
	971	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
	972	0.5 * SQRT( dx2 + dy2 ) )
	973	ENDDO
	974	!
	975	!-- Above southright corner (xyz distance)
	976	DO k = nzb_si + 1, nzb_si + vi
	977	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
	978	SQRT( 0.25 * (dx2 + dy2) + &
	979	( zu(k) - zw(nzb_si) )**2 ) )
	980	ENDDO
	981	ENDIF
	982
	983	ENDIF
	984
	985	IF ( wall_l(j,i) > 0 ) THEN
	986	!
	987	!-- Left wall (x distance)
	988	DO k = wall_l(j,i), nzb_si
	989	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), 0.5 * dx )
	990	ENDDO
	991	!
	992	!-- Above left wall (xz distance)
	993	DO k = nzb_si + 1, nzb_si + vi
	994	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), &
	995	SQRT( 0.25 * dx**2 + &
	996	( zu(k) - zw(nzb_si) )**2 ) )
	997	ENDDO
	998	ENDIF
	999
	1000	IF ( wall_r(j,i) > 0 ) THEN
	1001	!
	1002	!-- Right wall (x distance)
	1003	DO k = wall_r(j,i), nzb_si
	1004	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), 0.5 * dx )
	1005	ENDDO
	1006	!
	1007	!-- Above right wall (xz distance)
	1008	DO k = nzb_si + 1, nzb_si + vi
	1009	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), &
	1010	SQRT( 0.25 * dx**2 + &
	1011	( zu(k) - zw(nzb_si) )**2 ) )
	1012	ENDDO
	1013
	1014	ENDIF
	1015
	1016	ENDDO
	1017	ENDDO
	1018
	1019	ENDIF
	1020
	1021	!
	1022	!-- Multiplication with wall_adjustment_factor
	1023	l_wall = wall_adjustment_factor * l_wall
	1024
	1025	!
	1026	!-- Need to set lateral boundary conditions for l_wall
[75]	1027	CALL exchange_horiz( l_wall )
[1]	1028
	1029	DEALLOCATE( corner_nl, corner_nr, corner_sl, corner_sr, nzb_local, &
	1030	nzb_tmp, vertical_influence, wall_l, wall_n, wall_r, wall_s )
	1031
	1032
	1033	END SUBROUTINE init_grid

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