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source: palm/trunk/SOURCE/init_grid.f90 @ 234

Last change on this file since 234 was 226, checked in by raasch, 16 years ago
preparations for the next release
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Rev	Line
[1]	1	SUBROUTINE init_grid
	2
	3	!------------------------------------------------------------------------------!
	4	! Actual revisions:
	5	! -----------------
[226]	6	!
[139]	7	!
	8	! Former revisions:
	9	! -----------------
	10	! $Id: init_grid.f90 226 2009-02-02 07:39:34Z raasch $
	11	!
[226]	12	! 217 2008-12-09 18:00:48Z letzel
	13	! +topography_grid_convention
	14	!
[139]	15	! 134 2007-11-21 07:28:38Z letzel
[134]	16	! Redefine initial nzb_local as the actual total size of topography (later the
	17	! extent of topography in nzb_local is reduced by 1dx at the E topography walls
	18	! and by 1dy at the N topography walls to form the basis for nzb_s_inner);
	19	! for consistency redefine 'single_building' case.
[114]	20	! Calculation of wall flag arrays
[1]	21	!
[98]	22	! 94 2007-06-01 15:25:22Z raasch
	23	! Grid definition for ocean version
	24	!
[77]	25	! 75 2007-03-22 09:54:05Z raasch
	26	! storage of topography height arrays zu_s_inner and zw_s_inner,
	27	! 2nd+3rd argument removed from exchange horiz
	28	!
[39]	29	! 19 2007-02-23 04:53:48Z raasch
	30	! Setting of nzt_diff
	31	!
[3]	32	! RCS Log replace by Id keyword, revision history cleaned up
	33	!
[1]	34	! Revision 1.17 2006/08/22 14:00:05 raasch
	35	! +dz_max to limit vertical stretching,
	36	! bugfix in index array initialization for line- or point-like topography
	37	! structures
	38	!
	39	! Revision 1.1 1997/08/11 06:17:45 raasch
	40	! Initial revision (Testversion)
	41	!
	42	!
	43	! Description:
	44	! ------------
	45	! Creating grid depending constants
	46	!------------------------------------------------------------------------------!
	47
	48	USE arrays_3d
	49	USE control_parameters
	50	USE grid_variables
	51	USE indices
	52	USE pegrid
	53
	54	IMPLICIT NONE
	55
[114]	56	INTEGER :: bh, blx, bly, bxl, bxr, byn, bys, gls, i, inc, i_center, j, &
	57	j_center, k, l, nxl_l, nxr_l, nyn_l, nys_l, nzb_si, nzt_l, vi
[1]	58
	59	INTEGER, DIMENSION(:), ALLOCATABLE :: vertical_influence
	60
	61	INTEGER, DIMENSION(:,:), ALLOCATABLE :: corner_nl, corner_nr, corner_sl, &
	62	corner_sr, wall_l, wall_n, wall_r,&
	63	wall_s, nzb_local, nzb_tmp
	64
	65	REAL :: dx_l, dy_l, dz_stretched
	66
	67	REAL, DIMENSION(0:ny,0:nx) :: topo_height
	68
	69	REAL, DIMENSION(:,:,:), ALLOCATABLE :: distance
	70
	71	!
	72	!-- Allocate grid arrays
	73	ALLOCATE( ddzu(1:nzt+1), ddzw(1:nzt+1), dd2zu(1:nzt), dzu(1:nzt+1), &
	74	dzw(1:nzt+1), l_grid(1:nzt), zu(0:nzt+1), zw(0:nzt+1) )
	75
	76	!
	77	!-- Compute height of u-levels from constant grid length and dz stretch factors
	78	IF ( dz == -1.0 ) THEN
	79	IF ( myid == 0 ) PRINT*,'+++ init_grid: missing dz'
	80	CALL local_stop
	81	ELSEIF ( dz <= 0.0 ) THEN
	82	IF ( myid == 0 ) PRINT*,'+++ init_grid: dz=',dz,' <= 0.0'
	83	CALL local_stop
	84	ENDIF
[94]	85
[1]	86	!
[94]	87	!-- Define the vertical grid levels
	88	IF ( .NOT. ocean ) THEN
	89	!
	90	!-- Grid for atmosphere with surface at z=0 (k=0, w-grid).
	91	!-- Since the w-level lies on the surface, the first u-level (staggered!)
	92	!-- lies below the surface (used for "mirror" boundary condition).
	93	!-- The first u-level above the surface corresponds to the top of the
	94	!-- Prandtl-layer.
	95	zu(0) = - dz * 0.5
	96	zu(1) = dz * 0.5
[1]	97
[94]	98	dz_stretch_level_index = nzt+1
	99	dz_stretched = dz
	100	DO k = 2, nzt+1
	101	IF ( dz_stretch_level <= zu(k-1) .AND. dz_stretched < dz_max ) THEN
	102	dz_stretched = dz_stretched * dz_stretch_factor
	103	dz_stretched = MIN( dz_stretched, dz_max )
	104	IF ( dz_stretch_level_index == nzt+1 ) dz_stretch_level_index = k-1
	105	ENDIF
	106	zu(k) = zu(k-1) + dz_stretched
	107	ENDDO
[1]	108
	109	!
[94]	110	!-- Compute the w-levels. They are always staggered half-way between the
	111	!-- corresponding u-levels. The top w-level is extrapolated linearly.
	112	zw(0) = 0.0
	113	DO k = 1, nzt
	114	zw(k) = ( zu(k) + zu(k+1) ) * 0.5
	115	ENDDO
	116	zw(nzt+1) = zw(nzt) + 2.0 * ( zu(nzt+1) - zw(nzt) )
[1]	117
[94]	118	ELSE
[1]	119	!
[94]	120	!-- Grid for ocean with solid surface at z=0 (k=0, w-grid). The free water
	121	!-- surface is at k=nzt (w-grid).
	122	!-- Since the w-level lies always on the surface, the first/last u-level
	123	!-- (staggered!) lies below the bottom surface / above the free surface.
	124	!-- It is used for "mirror" boundary condition.
	125	!-- The first u-level above the bottom surface corresponds to the top of the
	126	!-- Prandtl-layer.
	127	zu(nzt+1) = dz * 0.5
	128	zu(nzt) = - dz * 0.5
	129
	130	dz_stretch_level_index = 0
	131	dz_stretched = dz
	132	DO k = nzt-1, 0, -1
	133	IF ( dz_stretch_level <= ABS( zu(k+1) ) .AND. &
	134	dz_stretched < dz_max ) THEN
	135	dz_stretched = dz_stretched * dz_stretch_factor
	136	dz_stretched = MIN( dz_stretched, dz_max )
	137	IF ( dz_stretch_level_index == 0 ) dz_stretch_level_index = k+1
	138	ENDIF
	139	zu(k) = zu(k+1) - dz_stretched
	140	ENDDO
	141
	142	!
	143	!-- Compute the w-levels. They are always staggered half-way between the
	144	!-- corresponding u-levels.
	145	!-- The top w-level (nzt+1) is not used but set for consistency, since
	146	!-- w and all scalar variables are defined up tp nzt+1.
	147	zw(nzt+1) = dz
	148	zw(nzt) = 0.0
	149	DO k = 0, nzt
	150	zw(k) = ( zu(k) + zu(k+1) ) * 0.5
	151	ENDDO
	152
	153	ENDIF
	154
	155	!
[1]	156	!-- Compute grid lengths.
	157	DO k = 1, nzt+1
	158	dzu(k) = zu(k) - zu(k-1)
	159	ddzu(k) = 1.0 / dzu(k)
	160	dzw(k) = zw(k) - zw(k-1)
	161	ddzw(k) = 1.0 / dzw(k)
	162	ENDDO
	163
	164	DO k = 1, nzt
	165	dd2zu(k) = 1.0 / ( dzu(k) + dzu(k+1) )
	166	ENDDO
	167
	168	!
	169	!-- In case of multigrid method, compute grid lengths and grid factors for the
	170	!-- grid levels
	171	IF ( psolver == 'multigrid' ) THEN
	172
	173	ALLOCATE( ddx2_mg(maximum_grid_level), ddy2_mg(maximum_grid_level), &
	174	dzu_mg(nzb+1:nzt+1,maximum_grid_level), &
	175	dzw_mg(nzb+1:nzt+1,maximum_grid_level), &
	176	f1_mg(nzb+1:nzt,maximum_grid_level), &
	177	f2_mg(nzb+1:nzt,maximum_grid_level), &
	178	f3_mg(nzb+1:nzt,maximum_grid_level) )
	179
	180	dzu_mg(:,maximum_grid_level) = dzu
	181	dzw_mg(:,maximum_grid_level) = dzw
	182	nzt_l = nzt
	183	DO l = maximum_grid_level-1, 1, -1
	184	dzu_mg(nzb+1,l) = 2.0 * dzu_mg(nzb+1,l+1)
	185	dzw_mg(nzb+1,l) = 2.0 * dzw_mg(nzb+1,l+1)
	186	nzt_l = nzt_l / 2
	187	DO k = 2, nzt_l+1
	188	dzu_mg(k,l) = dzu_mg(2k-2,l+1) + dzu_mg(2k-1,l+1)
	189	dzw_mg(k,l) = dzw_mg(2k-2,l+1) + dzw_mg(2k-1,l+1)
	190	ENDDO
	191	ENDDO
	192
	193	nzt_l = nzt
	194	dx_l = dx
	195	dy_l = dy
	196	DO l = maximum_grid_level, 1, -1
	197	ddx2_mg(l) = 1.0 / dx_l**2
	198	ddy2_mg(l) = 1.0 / dy_l**2
	199	DO k = nzb+1, nzt_l
	200	f2_mg(k,l) = 1.0 / ( dzu_mg(k+1,l) * dzw_mg(k,l) )
	201	f3_mg(k,l) = 1.0 / ( dzu_mg(k,l) * dzw_mg(k,l) )
	202	f1_mg(k,l) = 2.0 * ( ddx2_mg(l) + ddy2_mg(l) ) + &
	203	f2_mg(k,l) + f3_mg(k,l)
	204	ENDDO
	205	nzt_l = nzt_l / 2
	206	dx_l = dx_l * 2.0
	207	dy_l = dy_l * 2.0
	208	ENDDO
	209
	210	ENDIF
	211
	212	!
	213	!-- Compute the reciprocal values of the horizontal grid lengths.
	214	ddx = 1.0 / dx
	215	ddy = 1.0 / dy
	216	dx2 = dx * dx
	217	dy2 = dy * dy
	218	ddx2 = 1.0 / dx2
	219	ddy2 = 1.0 / dy2
	220
	221	!
	222	!-- Compute the grid-dependent mixing length.
	223	DO k = 1, nzt
	224	l_grid(k) = ( dx * dy * dzw(k) )**0.33333333333333
	225	ENDDO
	226
	227	!
	228	!-- Allocate outer and inner index arrays for topography and set
[114]	229	!-- defaults.
	230	!-- nzb_local has to contain additional layers of ghost points for calculating
	231	!-- the flag arrays needed for the multigrid method
	232	gls = 2**( maximum_grid_level )
	233	ALLOCATE( corner_nl(nys:nyn,nxl:nxr), corner_nr(nys:nyn,nxl:nxr), &
	234	corner_sl(nys:nyn,nxl:nxr), corner_sr(nys:nyn,nxl:nxr), &
	235	nzb_local(-gls:ny+gls,-gls:nx+gls), nzb_tmp(-1:ny+1,-1:nx+1), &
	236	wall_l(nys:nyn,nxl:nxr), wall_n(nys:nyn,nxl:nxr), &
[1]	237	wall_r(nys:nyn,nxl:nxr), wall_s(nys:nyn,nxl:nxr) )
	238	ALLOCATE( fwxm(nys-1:nyn+1,nxl-1:nxr+1), fwxp(nys-1:nyn+1,nxl-1:nxr+1), &
	239	fwym(nys-1:nyn+1,nxl-1:nxr+1), fwyp(nys-1:nyn+1,nxl-1:nxr+1), &
	240	fxm(nys-1:nyn+1,nxl-1:nxr+1), fxp(nys-1:nyn+1,nxl-1:nxr+1), &
	241	fym(nys-1:nyn+1,nxl-1:nxr+1), fyp(nys-1:nyn+1,nxl-1:nxr+1), &
	242	nzb_s_inner(nys-1:nyn+1,nxl-1:nxr+1), &
	243	nzb_s_outer(nys-1:nyn+1,nxl-1:nxr+1), &
	244	nzb_u_inner(nys-1:nyn+1,nxl-1:nxr+1), &
	245	nzb_u_outer(nys-1:nyn+1,nxl-1:nxr+1), &
	246	nzb_v_inner(nys-1:nyn+1,nxl-1:nxr+1), &
	247	nzb_v_outer(nys-1:nyn+1,nxl-1:nxr+1), &
	248	nzb_w_inner(nys-1:nyn+1,nxl-1:nxr+1), &
	249	nzb_w_outer(nys-1:nyn+1,nxl-1:nxr+1), &
	250	nzb_diff_s_inner(nys-1:nyn+1,nxl-1:nxr+1), &
	251	nzb_diff_s_outer(nys-1:nyn+1,nxl-1:nxr+1), &
	252	nzb_diff_u(nys-1:nyn+1,nxl-1:nxr+1), &
	253	nzb_diff_v(nys-1:nyn+1,nxl-1:nxr+1), &
	254	nzb_2d(nys-1:nyn+1,nxl-1:nxr+1), &
	255	wall_e_x(nys-1:nyn+1,nxl-1:nxr+1), &
	256	wall_e_y(nys-1:nyn+1,nxl-1:nxr+1), &
	257	wall_u(nys-1:nyn+1,nxl-1:nxr+1), &
	258	wall_v(nys-1:nyn+1,nxl-1:nxr+1), &
	259	wall_w_x(nys-1:nyn+1,nxl-1:nxr+1), &
	260	wall_w_y(nys-1:nyn+1,nxl-1:nxr+1) )
	261
	262	ALLOCATE( l_wall(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) )
	263
	264	nzb_s_inner = nzb; nzb_s_outer = nzb
	265	nzb_u_inner = nzb; nzb_u_outer = nzb
	266	nzb_v_inner = nzb; nzb_v_outer = nzb
	267	nzb_w_inner = nzb; nzb_w_outer = nzb
	268
	269	!
[19]	270	!-- Define vertical gridpoint from (or to) which on the usual finite difference
[1]	271	!-- form (which does not use surface fluxes) is applied
	272	IF ( prandtl_layer .OR. use_surface_fluxes ) THEN
	273	nzb_diff = nzb + 2
	274	ELSE
	275	nzb_diff = nzb + 1
	276	ENDIF
[19]	277	IF ( use_top_fluxes ) THEN
	278	nzt_diff = nzt - 1
	279	ELSE
	280	nzt_diff = nzt
	281	ENDIF
[1]	282
	283	nzb_diff_s_inner = nzb_diff; nzb_diff_s_outer = nzb_diff
	284	nzb_diff_u = nzb_diff; nzb_diff_v = nzb_diff
	285
	286	wall_e_x = 0.0; wall_e_y = 0.0; wall_u = 0.0; wall_v = 0.0
	287	wall_w_x = 0.0; wall_w_y = 0.0
	288	fwxp = 1.0; fwxm = 1.0; fwyp = 1.0; fwym = 1.0
	289	fxp = 1.0; fxm = 1.0; fyp = 1.0; fym = 1.0
	290
	291	!
	292	!-- Initialize near-wall mixing length l_wall only in the vertical direction
	293	!-- for the moment,
	294	!-- multiplication with wall_adjustment_factor near the end of this routine
	295	l_wall(nzb,:,:) = l_grid(1)
	296	DO k = nzb+1, nzt
	297	l_wall(k,:,:) = l_grid(k)
	298	ENDDO
	299	l_wall(nzt+1,:,:) = l_grid(nzt)
	300
	301	ALLOCATE ( vertical_influence(nzb:nzt) )
	302	DO k = 1, nzt
	303	vertical_influence(k) = MIN ( INT( l_grid(k) / &
	304	( wall_adjustment_factor * dzw(k) ) + 0.5 ), nzt - k )
	305	ENDDO
	306
	307	DO k = 1, MAXVAL( nzb_s_inner )
	308	IF ( l_grid(k) > 1.5 * dx * wall_adjustment_factor .OR. &
	309	l_grid(k) > 1.5 * dy * wall_adjustment_factor ) THEN
	310	IF ( myid == 0 ) THEN
	311	PRINT*, '+++ WARNING: grid anisotropy exceeds '// &
	312	'threshold given by only local'
	313	PRINT*, ' horizontal reduction of near_wall '// &
	314	'mixing length l_wall'
	315	PRINT*, ' starting from height level k = ', k, '.'
	316	ENDIF
	317	EXIT
	318	ENDIF
	319	ENDDO
	320	vertical_influence(0) = vertical_influence(1)
	321
	322	DO i = nxl-1, nxr+1
	323	DO j = nys-1, nyn+1
	324	DO k = nzb_s_inner(j,i) + 1, &
	325	nzb_s_inner(j,i) + vertical_influence(nzb_s_inner(j,i))
	326	l_wall(k,j,i) = zu(k) - zw(nzb_s_inner(j,i))
	327	ENDDO
	328	ENDDO
	329	ENDDO
	330
	331	!
	332	!-- Set outer and inner index arrays for non-flat topography.
	333	!-- Here consistency checks concerning domain size and periodicity are
	334	!-- necessary.
	335	!-- Within this SELECT CASE structure only nzb_local is initialized
	336	!-- individually depending on the chosen topography type, all other index
	337	!-- arrays are initialized further below.
	338	SELECT CASE ( TRIM( topography ) )
	339
	340	CASE ( 'flat' )
	341	!
	342	!-- No actions necessary
	343
	344	CASE ( 'single_building' )
	345	!
	346	!-- Single rectangular building, by default centered in the middle of the
	347	!-- total domain
	348	blx = NINT( building_length_x / dx )
	349	bly = NINT( building_length_y / dy )
	350	bh = NINT( building_height / dz )
	351
	352	IF ( building_wall_left == 9999999.9 ) THEN
	353	building_wall_left = ( nx + 1 - blx ) / 2 * dx
	354	ENDIF
	355	bxl = NINT( building_wall_left / dx )
	356	bxr = bxl + blx
	357
	358	IF ( building_wall_south == 9999999.9 ) THEN
	359	building_wall_south = ( ny + 1 - bly ) / 2 * dy
	360	ENDIF
	361	bys = NINT( building_wall_south / dy )
	362	byn = bys + bly
	363
	364	!
	365	!-- Building size has to meet some requirements
	366	IF ( ( bxl < 1 ) .OR. ( bxr > nx-1 ) .OR. ( bxr < bxl+3 ) .OR. &
	367	( bys < 1 ) .OR. ( byn > ny-1 ) .OR. ( byn < bys+3 ) ) THEN
	368	IF ( myid == 0 ) THEN
	369	PRINT*, '+++ init_grid: inconsistent building parameters:'
	370	PRINT*, ' bxl=', bxl, 'bxr=', bxr, 'bys=', bys, &
	371	'byn=', byn, 'nx=', nx, 'ny=', ny
	372	ENDIF
	373	CALL local_stop
	374	ENDIF
	375
	376	!
[217]	377	!-- Define the building.
[1]	378	nzb_local = 0
[134]	379	nzb_local(bys:byn,bxl:bxr) = bh
[1]	380
	381	CASE ( 'read_from_file' )
	382	!
	383	!-- Arbitrary irregular topography data in PALM format (exactly matching
	384	!-- the grid size and total domain size)
	385	OPEN( 90, FILE='TOPOGRAPHY_DATA', STATUS='OLD', FORM='FORMATTED', &
	386	ERR=10 )
	387	DO j = ny, 0, -1
	388	READ( 90, *, ERR=11, END=11 ) ( topo_height(j,i), i = 0, nx )
	389	ENDDO
	390	!
	391	!-- Calculate the index height of the topography
	392	DO i = 0, nx
	393	DO j = 0, ny
	394	nzb_local(j,i) = NINT( topo_height(j,i) / dz )
	395	ENDDO
	396	ENDDO
[114]	397	!
	398	!-- Add cyclic boundaries (additional layers are for calculating flag
	399	!-- arrays needed for the multigrid sover)
	400	nzb_local(-gls:-1,0:nx) = nzb_local(ny-gls+1:ny,0:nx)
	401	nzb_local(ny+1:ny+gls,0:nx) = nzb_local(0:gls-1,0:nx)
	402	nzb_local(:,-gls:-1) = nzb_local(:,nx-gls+1:nx)
	403	nzb_local(:,nx+1:nx+gls) = nzb_local(:,0:gls-1)
[1]	404
	405	GOTO 12
	406
	407	10 IF ( myid == 0 ) THEN
	408	PRINT*, '+++ init_grid: file TOPOGRAPHY_DATA does not exist'
	409	ENDIF
	410	CALL local_stop
	411
	412	11 IF ( myid == 0 ) THEN
	413	PRINT*, '+++ init_grid: errors in file TOPOGRAPHY_DATA'
	414	ENDIF
	415	CALL local_stop
	416
	417	12 CLOSE( 90 )
	418
	419	CASE DEFAULT
	420	!
	421	!-- The DEFAULT case is reached either if the parameter topography
[217]	422	!-- contains a wrong character string or if the user has defined a special
[1]	423	!-- case in the user interface. There, the subroutine user_init_grid
	424	!-- checks which of these two conditions applies.
[114]	425	CALL user_init_grid( gls, nzb_local )
[1]	426
	427	END SELECT
	428
	429	!
[114]	430	!-- Test output of nzb_local -1:ny+1,-1:nx+1
[145]	431	! WRITE (9,) ' nzb_local *'
	432	! DO j = ny+1, -1, -1
	433	! WRITE (9,'(194(1X,I2))') ( nzb_local(j,i), i = -1, nx+1 )
	434	! ENDDO
[114]	435
	436	!
[1]	437	!-- Consistency checks and index array initialization are only required for
[217]	438	!-- non-flat topography, also the initialization of topography height arrays
[49]	439	!-- zu_s_inner and zw_w_inner
[1]	440	IF ( TRIM( topography ) /= 'flat' ) THEN
	441
	442	!
	443	!-- Consistency checks
	444	IF ( MINVAL( nzb_local ) < 0 .OR. MAXVAL( nzb_local ) > nz + 1 ) THEN
	445	IF ( myid == 0 ) THEN
	446	PRINT*, '+++ init_grid: nzb_local values are outside the', &
	447	'model domain'
	448	PRINT*, ' MINVAL( nzb_local ) = ', MINVAL(nzb_local)
	449	PRINT*, ' MAXVAL( nzb_local ) = ', MAXVAL(nzb_local)
	450	ENDIF
	451	CALL local_stop
	452	ENDIF
	453
	454	IF ( bc_lr == 'cyclic' ) THEN
	455	IF ( ANY( nzb_local(:,-1) /= nzb_local(:,nx) ) .OR. &
	456	ANY( nzb_local(:,0) /= nzb_local(:,nx+1) ) ) THEN
	457	IF ( myid == 0 ) THEN
	458	PRINT*, '+++ init_grid: nzb_local does not fulfill cyclic', &
	459	' boundary condition in x-direction'
	460	ENDIF
	461	CALL local_stop
	462	ENDIF
	463	ENDIF
	464	IF ( bc_ns == 'cyclic' ) THEN
	465	IF ( ANY( nzb_local(-1,:) /= nzb_local(ny,:) ) .OR. &
	466	ANY( nzb_local(0,:) /= nzb_local(ny+1,:) ) ) THEN
	467	IF ( myid == 0 ) THEN
	468	PRINT*, '+++ init_grid: nzb_local does not fulfill cyclic', &
	469	' boundary condition in y-direction'
	470	ENDIF
	471	CALL local_stop
	472	ENDIF
	473	ENDIF
	474
[217]	475	IF ( topography_grid_convention == 'cell_edge' ) THEN
[134]	476	!
[217]	477	!-- The array nzb_local as defined using the 'cell_edge' convention
	478	!-- describes the actual total size of topography which is defined at the
	479	!-- cell edges where u=0 on the topography walls in x-direction and v=0
	480	!-- on the topography walls in y-direction. However, PALM uses individual
	481	!-- arrays nzb_u\|v\|w\|s_inner\|outer that are based on nzb_s_inner.
	482	!-- Therefore, the extent of topography in nzb_local is now reduced by
	483	!-- 1dx at the E topography walls and by 1dy at the N topography walls
	484	!-- to form the basis for nzb_s_inner.
	485	DO j = -gls, ny + gls
	486	DO i = -gls, nx
	487	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j,i+1) )
	488	ENDDO
[134]	489	ENDDO
[217]	490	!-- apply cyclic boundary conditions in x-direction
	491	!(ist das erforderlich? Ursache von Seung Bus Fehler?)
	492	nzb_local(:,nx+1:nx+gls) = nzb_local(:,0:gls-1)
	493	DO i = -gls, nx + gls
	494	DO j = -gls, ny
	495	nzb_local(j,i) = MIN( nzb_local(j,i), nzb_local(j+1,i) )
	496	ENDDO
[134]	497	ENDDO
[217]	498	!-- apply cyclic boundary conditions in y-direction
	499	!(ist das erforderlich? Ursache von Seung Bus Fehler?)
	500	nzb_local(ny+1:ny+gls,:) = nzb_local(0:gls-1,:)
	501	ENDIF
[134]	502
[1]	503	!
	504	!-- Initialize index arrays nzb_s_inner and nzb_w_inner
	505	nzb_s_inner = nzb_local(nys-1:nyn+1,nxl-1:nxr+1)
	506	nzb_w_inner = nzb_local(nys-1:nyn+1,nxl-1:nxr+1)
	507
	508	!
	509	!-- Initialize remaining index arrays:
	510	!-- first pre-initialize them with nzb_s_inner...
	511	nzb_u_inner = nzb_s_inner
	512	nzb_u_outer = nzb_s_inner
	513	nzb_v_inner = nzb_s_inner
	514	nzb_v_outer = nzb_s_inner
	515	nzb_w_outer = nzb_s_inner
	516	nzb_s_outer = nzb_s_inner
	517
	518	!
	519	!-- ...then extend pre-initialized arrays in their according directions
	520	!-- based on nzb_local using nzb_tmp as a temporary global index array
	521
	522	!
	523	!-- nzb_s_outer:
	524	!-- extend nzb_local east-/westwards first, then north-/southwards
[114]	525	nzb_tmp = nzb_local(-1:ny+1,-1:nx+1)
[1]	526	DO j = -1, ny + 1
	527	DO i = 0, nx
	528	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i), &
	529	nzb_local(j,i+1) )
	530	ENDDO
	531	ENDDO
	532	DO i = nxl, nxr
	533	DO j = nys, nyn
	534	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
	535	nzb_tmp(j+1,i) )
	536	ENDDO
	537	!
	538	!-- non-cyclic boundary conditions (overwritten by call of
	539	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	540	IF ( nys == 0 ) THEN
	541	j = -1
	542	nzb_s_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
	543	ENDIF
	544	IF ( nys == ny ) THEN
	545	j = ny + 1
	546	nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
	547	ENDIF
	548	ENDDO
	549	!
	550	!-- nzb_w_outer:
	551	!-- identical to nzb_s_outer
	552	nzb_w_outer = nzb_s_outer
	553
	554	!
	555	!-- nzb_u_inner:
	556	!-- extend nzb_local rightwards only
[114]	557	nzb_tmp = nzb_local(-1:ny+1,-1:nx+1)
[1]	558	DO j = -1, ny + 1
	559	DO i = 0, nx + 1
	560	nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i) )
	561	ENDDO
	562	ENDDO
	563	nzb_u_inner = nzb_tmp(nys-1:nyn+1,nxl-1:nxr+1)
	564
	565	!
	566	!-- nzb_u_outer:
	567	!-- extend current nzb_tmp (nzb_u_inner) north-/southwards
	568	DO i = nxl, nxr
	569	DO j = nys, nyn
	570	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), &
	571	nzb_tmp(j+1,i) )
	572	ENDDO
	573	!
	574	!-- non-cyclic boundary conditions (overwritten by call of
	575	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	576	IF ( nys == 0 ) THEN
	577	j = -1
	578	nzb_u_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) )
	579	ENDIF
	580	IF ( nys == ny ) THEN
	581	j = ny + 1
	582	nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) )
	583	ENDIF
	584	ENDDO
	585
	586	!
	587	!-- nzb_v_inner:
	588	!-- extend nzb_local northwards only
[114]	589	nzb_tmp = nzb_local(-1:ny+1,-1:nx+1)
[1]	590	DO i = -1, nx + 1
	591	DO j = 0, ny + 1
	592	nzb_tmp(j,i) = MAX( nzb_local(j-1,i), nzb_local(j,i) )
	593	ENDDO
	594	ENDDO
	595	nzb_v_inner = nzb_tmp(nys-1:nyn+1,nxl-1:nxr+1)
	596
	597	!
	598	!-- nzb_v_outer:
	599	!-- extend current nzb_tmp (nzb_v_inner) right-/leftwards
	600	DO j = nys, nyn
	601	DO i = nxl, nxr
	602	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i), &
	603	nzb_tmp(j,i+1) )
	604	ENDDO
	605	!
	606	!-- non-cyclic boundary conditions (overwritten by call of
	607	!-- exchange_horiz_2d_int below in case of cyclic boundary conditions)
	608	IF ( nxl == 0 ) THEN
	609	i = -1
	610	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i+1), nzb_tmp(j,i) )
	611	ENDIF
	612	IF ( nxr == nx ) THEN
	613	i = nx + 1
	614	nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i) )
	615	ENDIF
	616	ENDDO
	617
	618	!
	619	!-- Exchange of lateral boundary values (parallel computers) and cyclic
	620	!-- boundary conditions, if applicable.
	621	!-- Since nzb_s_inner and nzb_w_inner are derived directly from nzb_local
	622	!-- they do not require exchange and are not included here.
	623	CALL exchange_horiz_2d_int( nzb_u_inner )
	624	CALL exchange_horiz_2d_int( nzb_u_outer )
	625	CALL exchange_horiz_2d_int( nzb_v_inner )
	626	CALL exchange_horiz_2d_int( nzb_v_outer )
	627	CALL exchange_horiz_2d_int( nzb_w_outer )
	628	CALL exchange_horiz_2d_int( nzb_s_outer )
	629
[49]	630	!
	631	!-- Allocate and set the arrays containing the topography height
	632	IF ( myid == 0 ) THEN
	633
	634	ALLOCATE( zu_s_inner(0:nx+1,0:ny+1), zw_w_inner(0:nx+1,0:ny+1) )
	635
	636	DO i = 0, nx + 1
	637	DO j = 0, ny + 1
	638	zu_s_inner(i,j) = zu(nzb_local(j,i))
	639	zw_w_inner(i,j) = zw(nzb_local(j,i))
	640	ENDDO
	641	ENDDO
	642
	643	ENDIF
	644
[1]	645	ENDIF
	646
	647	!
	648	!-- Preliminary: to be removed after completion of the topography code!
	649	!-- Set the former default k index arrays nzb_2d
	650	nzb_2d = nzb
	651
	652	!
	653	!-- Set the individual index arrays which define the k index from which on
	654	!-- the usual finite difference form (which does not use surface fluxes) is
	655	!-- applied
	656	IF ( prandtl_layer .OR. use_surface_fluxes ) THEN
	657	nzb_diff_u = nzb_u_inner + 2
	658	nzb_diff_v = nzb_v_inner + 2
	659	nzb_diff_s_inner = nzb_s_inner + 2
	660	nzb_diff_s_outer = nzb_s_outer + 2
	661	ELSE
	662	nzb_diff_u = nzb_u_inner + 1
	663	nzb_diff_v = nzb_v_inner + 1
	664	nzb_diff_s_inner = nzb_s_inner + 1
	665	nzb_diff_s_outer = nzb_s_outer + 1
	666	ENDIF
	667
	668	!
	669	!-- Calculation of wall switches and factors required by diffusion_u/v.f90 and
	670	!-- for limitation of near-wall mixing length l_wall further below
	671	corner_nl = 0
	672	corner_nr = 0
	673	corner_sl = 0
	674	corner_sr = 0
	675	wall_l = 0
	676	wall_n = 0
	677	wall_r = 0
	678	wall_s = 0
	679
	680	DO i = nxl, nxr
	681	DO j = nys, nyn
	682	!
	683	!-- u-component
	684	IF ( nzb_u_outer(j,i) > nzb_u_outer(j+1,i) ) THEN
	685	wall_u(j,i) = 1.0 ! north wall (location of adjacent fluid)
	686	fym(j,i) = 0.0
	687	fyp(j,i) = 1.0
	688	ELSEIF ( nzb_u_outer(j,i) > nzb_u_outer(j-1,i) ) THEN
	689	wall_u(j,i) = 1.0 ! south wall (location of adjacent fluid)
	690	fym(j,i) = 1.0
	691	fyp(j,i) = 0.0
	692	ENDIF
	693	!
	694	!-- v-component
	695	IF ( nzb_v_outer(j,i) > nzb_v_outer(j,i+1) ) THEN
	696	wall_v(j,i) = 1.0 ! rigth wall (location of adjacent fluid)
	697	fxm(j,i) = 0.0
	698	fxp(j,i) = 1.0
	699	ELSEIF ( nzb_v_outer(j,i) > nzb_v_outer(j,i-1) ) THEN
	700	wall_v(j,i) = 1.0 ! left wall (location of adjacent fluid)
	701	fxm(j,i) = 1.0
	702	fxp(j,i) = 0.0
	703	ENDIF
	704	!
	705	!-- w-component, also used for scalars, separate arrays for shear
	706	!-- production of tke
	707	IF ( nzb_w_outer(j,i) > nzb_w_outer(j+1,i) ) THEN
	708	wall_e_y(j,i) = 1.0 ! north wall (location of adjacent fluid)
	709	wall_w_y(j,i) = 1.0
	710	fwym(j,i) = 0.0
	711	fwyp(j,i) = 1.0
	712	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j-1,i) ) THEN
	713	wall_e_y(j,i) = -1.0 ! south wall (location of adjacent fluid)
	714	wall_w_y(j,i) = 1.0
	715	fwym(j,i) = 1.0
	716	fwyp(j,i) = 0.0
	717	ENDIF
	718	IF ( nzb_w_outer(j,i) > nzb_w_outer(j,i+1) ) THEN
	719	wall_e_x(j,i) = 1.0 ! right wall (location of adjacent fluid)
	720	wall_w_x(j,i) = 1.0
	721	fwxm(j,i) = 0.0
	722	fwxp(j,i) = 1.0
	723	ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j,i-1) ) THEN
	724	wall_e_x(j,i) = -1.0 ! left wall (location of adjacent fluid)
	725	wall_w_x(j,i) = 1.0
	726	fwxm(j,i) = 1.0
	727	fwxp(j,i) = 0.0
	728	ENDIF
	729	!
	730	!-- Wall and corner locations inside buildings for limitation of
	731	!-- near-wall mixing length l_wall
	732	IF ( nzb_s_inner(j,i) > nzb_s_inner(j+1,i) ) THEN
	733
	734	wall_n(j,i) = nzb_s_inner(j+1,i) + 1 ! North wall
	735
	736	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	737	corner_nl(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northleft corner
	738	nzb_s_inner(j,i-1) ) + 1
	739	ENDIF
	740
	741	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	742	corner_nr(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northright corner
	743	nzb_s_inner(j,i+1) ) + 1
	744	ENDIF
	745
	746	ENDIF
	747
	748	IF ( nzb_s_inner(j,i) > nzb_s_inner(j-1,i) ) THEN
	749
	750	wall_s(j,i) = nzb_s_inner(j-1,i) + 1 ! South wall
	751	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	752	corner_sl(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southleft corner
	753	nzb_s_inner(j,i-1) ) + 1
	754	ENDIF
	755
	756	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	757	corner_sr(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southright corner
	758	nzb_s_inner(j,i+1) ) + 1
	759	ENDIF
	760
	761	ENDIF
	762
	763	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN
	764	wall_l(j,i) = nzb_s_inner(j,i-1) + 1 ! Left wall
	765	ENDIF
	766
	767	IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN
	768	wall_r(j,i) = nzb_s_inner(j,i+1) + 1 ! Right wall
	769	ENDIF
	770
	771	ENDDO
	772	ENDDO
	773
	774	!
[114]	775	!-- Calculate wall flag arrays for the multigrid method
	776	IF ( psolver == 'multigrid' ) THEN
	777	!
	778	!-- Gridpoint increment of the current level
	779	inc = 1
	780
	781	DO l = maximum_grid_level, 1 , -1
	782
	783	nxl_l = nxl_mg(l)
	784	nxr_l = nxr_mg(l)
	785	nys_l = nys_mg(l)
	786	nyn_l = nyn_mg(l)
	787	nzt_l = nzt_mg(l)
	788
	789	!
	790	!-- Assign the flag level to be calculated
	791	SELECT CASE ( l )
	792	CASE ( 1 )
	793	flags => wall_flags_1
	794	CASE ( 2 )
	795	flags => wall_flags_2
	796	CASE ( 3 )
	797	flags => wall_flags_3
	798	CASE ( 4 )
	799	flags => wall_flags_4
	800	CASE ( 5 )
	801	flags => wall_flags_5
	802	CASE ( 6 )
	803	flags => wall_flags_6
	804	CASE ( 7 )
	805	flags => wall_flags_7
	806	CASE ( 8 )
	807	flags => wall_flags_8
	808	CASE ( 9 )
	809	flags => wall_flags_9
	810	CASE ( 10 )
	811	flags => wall_flags_10
	812	END SELECT
	813
	814	!
	815	!-- Depending on the grid level, set the respective bits in case of
	816	!-- neighbouring walls
	817	!-- Bit 0: wall to the bottom
	818	!-- Bit 1: wall to the top (not realized in remaining PALM code so far)
	819	!-- Bit 2: wall to the south
	820	!-- Bit 3: wall to the north
	821	!-- Bit 4: wall to the left
	822	!-- Bit 5: wall to the right
[116]	823	!-- Bit 6: inside building
[114]	824
	825	flags = 0
	826
	827	DO i = nxl_l-1, nxr_l+1
	828	DO j = nys_l-1, nyn_l+1
	829	DO k = nzb, nzt_l+1
	830
	831	!
	832	!-- Inside/outside building (inside building does not need
	833	!-- further tests for walls)
	834	IF ( kinc <= nzb_local(jinc,i*inc) ) THEN
	835
	836	flags(k,j,i) = IBSET( flags(k,j,i), 6 )
	837
	838	ELSE
	839	!
	840	!-- Bottom wall
	841	IF ( (k-1)inc <= nzb_local(jinc,i*inc) ) THEN
	842	flags(k,j,i) = IBSET( flags(k,j,i), 0 )
	843	ENDIF
	844	!
	845	!-- South wall
	846	IF ( kinc <= nzb_local((j-1)inc,i*inc) ) THEN
	847	flags(k,j,i) = IBSET( flags(k,j,i), 2 )
	848	ENDIF
	849	!
	850	!-- North wall
	851	IF ( kinc <= nzb_local((j+1)inc,i*inc) ) THEN
	852	flags(k,j,i) = IBSET( flags(k,j,i), 3 )
	853	ENDIF
	854	!
	855	!-- Left wall
	856	IF ( kinc <= nzb_local(jinc,(i-1)*inc) ) THEN
	857	flags(k,j,i) = IBSET( flags(k,j,i), 4 )
	858	ENDIF
	859	!
	860	!-- Right wall
	861	IF ( kinc <= nzb_local(jinc,(i+1)*inc) ) THEN
	862	flags(k,j,i) = IBSET( flags(k,j,i), 5 )
	863	ENDIF
	864
	865	ENDIF
	866
	867	ENDDO
	868	ENDDO
	869	ENDDO
	870
	871	!
	872	!-- Test output of flag arrays
[145]	873	! i = nxl_l
	874	! WRITE (9,*) ' '
	875	! WRITE (9,) ' mg level ', l, ' *', mg_switch_to_pe0_level
	876	! WRITE (9,*) ' inc=', inc, ' i =', nxl_l
	877	! WRITE (9,*) ' nxl_l',nxl_l,' nxr_l=',nxr_l,' nys_l=',nys_l,' nyn_l=',nyn_l
	878	! DO k = nzt_l+1, nzb, -1
	879	! WRITE (9,'(194(1X,I2))') ( flags(k,j,i), j = nys_l-1, nyn_l+1 )
	880	! ENDDO
[114]	881
	882	inc = inc * 2
	883
	884	ENDDO
	885
	886	ENDIF
	887
	888	!
[1]	889	!-- In case of topography: limit near-wall mixing length l_wall further:
	890	!-- Go through all points of the subdomain one by one and look for the closest
	891	!-- surface
	892	IF ( TRIM(topography) /= 'flat' ) THEN
	893	DO i = nxl, nxr
	894	DO j = nys, nyn
	895
	896	nzb_si = nzb_s_inner(j,i)
	897	vi = vertical_influence(nzb_si)
	898
	899	IF ( wall_n(j,i) > 0 ) THEN
	900	!
	901	!-- North wall (y distance)
	902	DO k = wall_n(j,i), nzb_si
	903	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), 0.5 * dy )
	904	ENDDO
	905	!
	906	!-- Above North wall (yz distance)
	907	DO k = nzb_si + 1, nzb_si + vi
	908	l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), &
	909	SQRT( 0.25 * dy**2 + &
	910	( zu(k) - zw(nzb_si) )**2 ) )
	911	ENDDO
	912	!
	913	!-- Northleft corner (xy distance)
	914	IF ( corner_nl(j,i) > 0 ) THEN
	915	DO k = corner_nl(j,i), nzb_si
	916	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
	917	0.5 * SQRT( dx2 + dy2 ) )
	918	ENDDO
	919	!
	920	!-- Above Northleft corner (xyz distance)
	921	DO k = nzb_si + 1, nzb_si + vi
	922	l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), &
	923	SQRT( 0.25 * (dx2 + dy2) + &
	924	( zu(k) - zw(nzb_si) )**2 ) )
	925	ENDDO
	926	ENDIF
	927	!
	928	!-- Northright corner (xy distance)
	929	IF ( corner_nr(j,i) > 0 ) THEN
	930	DO k = corner_nr(j,i), nzb_si
	931	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
	932	0.5 * SQRT( dx2 + dy2 ) )
	933	ENDDO
	934	!
	935	!-- Above northright corner (xyz distance)
	936	DO k = nzb_si + 1, nzb_si + vi
	937	l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), &
	938	SQRT( 0.25 * (dx2 + dy2) + &
	939	( zu(k) - zw(nzb_si) )**2 ) )
	940	ENDDO
	941	ENDIF
	942	ENDIF
	943
	944	IF ( wall_s(j,i) > 0 ) THEN
	945	!
	946	!-- South wall (y distance)
	947	DO k = wall_s(j,i), nzb_si
	948	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), 0.5 * dy )
	949	ENDDO
	950	!
	951	!-- Above south wall (yz distance)
	952	DO k = nzb_si + 1, &
	953	nzb_si + vi
	954	l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), &
	955	SQRT( 0.25 * dy**2 + &
	956	( zu(k) - zw(nzb_si) )**2 ) )
	957	ENDDO
	958	!
	959	!-- Southleft corner (xy distance)
	960	IF ( corner_sl(j,i) > 0 ) THEN
	961	DO k = corner_sl(j,i), nzb_si
	962	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
	963	0.5 * SQRT( dx2 + dy2 ) )
	964	ENDDO
	965	!
	966	!-- Above southleft corner (xyz distance)
	967	DO k = nzb_si + 1, nzb_si + vi
	968	l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), &
	969	SQRT( 0.25 * (dx2 + dy2) + &
	970	( zu(k) - zw(nzb_si) )**2 ) )
	971	ENDDO
	972	ENDIF
	973	!
	974	!-- Southright corner (xy distance)
	975	IF ( corner_sr(j,i) > 0 ) THEN
	976	DO k = corner_sr(j,i), nzb_si
	977	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
	978	0.5 * SQRT( dx2 + dy2 ) )
	979	ENDDO
	980	!
	981	!-- Above southright corner (xyz distance)
	982	DO k = nzb_si + 1, nzb_si + vi
	983	l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), &
	984	SQRT( 0.25 * (dx2 + dy2) + &
	985	( zu(k) - zw(nzb_si) )**2 ) )
	986	ENDDO
	987	ENDIF
	988
	989	ENDIF
	990
	991	IF ( wall_l(j,i) > 0 ) THEN
	992	!
	993	!-- Left wall (x distance)
	994	DO k = wall_l(j,i), nzb_si
	995	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), 0.5 * dx )
	996	ENDDO
	997	!
	998	!-- Above left wall (xz distance)
	999	DO k = nzb_si + 1, nzb_si + vi
	1000	l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), &
	1001	SQRT( 0.25 * dx**2 + &
	1002	( zu(k) - zw(nzb_si) )**2 ) )
	1003	ENDDO
	1004	ENDIF
	1005
	1006	IF ( wall_r(j,i) > 0 ) THEN
	1007	!
	1008	!-- Right wall (x distance)
	1009	DO k = wall_r(j,i), nzb_si
	1010	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), 0.5 * dx )
	1011	ENDDO
	1012	!
	1013	!-- Above right wall (xz distance)
	1014	DO k = nzb_si + 1, nzb_si + vi
	1015	l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), &
	1016	SQRT( 0.25 * dx**2 + &
	1017	( zu(k) - zw(nzb_si) )**2 ) )
	1018	ENDDO
	1019
	1020	ENDIF
	1021
	1022	ENDDO
	1023	ENDDO
	1024
	1025	ENDIF
	1026
	1027	!
	1028	!-- Multiplication with wall_adjustment_factor
	1029	l_wall = wall_adjustment_factor * l_wall
	1030
	1031	!
	1032	!-- Need to set lateral boundary conditions for l_wall
[75]	1033	CALL exchange_horiz( l_wall )
[1]	1034
	1035	DEALLOCATE( corner_nl, corner_nr, corner_sl, corner_sr, nzb_local, &
	1036	nzb_tmp, vertical_influence, wall_l, wall_n, wall_r, wall_s )
	1037
	1038
	1039	END SUBROUTINE init_grid

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