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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1053

Last change on this file since 1053 was 1053, checked in by hoffmann, 11 years ago
two-moment cloud physics implemented
Property svn:keywords set to `Id`
File size: 56.2 KB

Rev	Line
[1]	1	SUBROUTINE flow_statistics
	2
[1036]	3	!--------------------------------------------------------------------------------!
	4	! This file is part of PALM.
	5	!
	6	! PALM is free software: you can redistribute it and/or modify it under the terms
	7	! of the GNU General Public License as published by the Free Software Foundation,
	8	! either version 3 of the License, or (at your option) any later version.
	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
	17	! Copyright 1997-2012 Leibniz University Hannover
	18	!--------------------------------------------------------------------------------!
	19	!
[254]	20	! Current revisions:
[1]	21	! -----------------
[1053]	22	! necessary additions for two-moment cloud physics scheme:
	23	! +nr, qr, qc, prr
[1008]	24	!
	25	! Former revisions:
	26	! -----------------
	27	! $Id: flow_statistics.f90 1053 2012-11-13 17:11:03Z hoffmann $
	28	!
[1037]	29	! 1036 2012-10-22 13:43:42Z raasch
	30	! code put under GPL (PALM 3.9)
	31	!
[1008]	32	! 1007 2012-09-19 14:30:36Z franke
[1007]	33	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
	34	! turbulent fluxes of WS-scheme
	35	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
	36	! droplets at nzb and nzt added
[700]	37	!
[802]	38	! 801 2012-01-10 17:30:36Z suehring
	39	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
	40	!
[744]	41	! 743 2011-08-18 16:10:16Z suehring
	42	! Calculation of turbulent fluxes with WS-scheme only for the whole model
	43	! domain, not for user-defined subregions.
	44	!
[710]	45	! 709 2011-03-30 09:31:40Z raasch
	46	! formatting adjustments
	47	!
[700]	48	! 699 2011-03-22 17:52:22Z suehring
[699]	49	! Bugfix in calculation of vertical velocity skewness. The added absolute value
	50	! avoid negative values in the root. Negative values of w'w' can occur at the
	51	! top or bottom of the model domain due to degrading the order of advection
	52	! scheme. Furthermore the calculation will be the same for all advection
	53	! schemes.
[392]	54	!
[697]	55	! 696 2011-03-18 07:03:49Z raasch
	56	! Bugfix: Summation of Wicker-Skamarock scheme fluxes and variances for all
	57	! threads
	58	!
[679]	59	! 678 2011-02-02 14:31:56Z raasch
	60	! Bugfix in calculation of the divergence of vertical flux of resolved scale
	61	! energy, pressure fluctuations, and flux of pressure fluctuation itself
	62	!
[674]	63	! 673 2011-01-18 16:19:48Z suehring
	64	! Top bc for the horizontal velocity variances added for ocean runs.
	65	! Setting the corresponding bottom bc moved to advec_ws.
	66	!
[668]	67	! 667 2010-12-23 12:06:00Z suehring/gryschka
	68	! When advection is computed with ws-scheme, turbulent fluxes are already
	69	! computed in the respective advection routines and buffered in arrays
	70	! sums_xx_ws_l(). This is due to a consistent treatment of statistics with the
	71	! numerics and to avoid unphysical kinks near the surface.
	72	! So some if requests has to be done to dicern between fluxes from ws-scheme
	73	! other advection schemes.
	74	! Furthermore the computation of z_i is only done if the heat flux exceeds a
	75	! minimum value. This affects only simulations of a neutral boundary layer and
	76	! is due to reasons of computations in the advection scheme.
	77	!
[625]	78	! 624 2010-12-10 11:46:30Z heinze
	79	! Calculation of q*2 added
	80	!
[623]	81	! 622 2010-12-10 08:08:13Z raasch
	82	! optional barriers included in order to speed up collective operations
	83	!
[392]	84	! 388 2009-09-23 09:40:33Z raasch
[388]	85	! Vertical profiles of potential density and hydrostatic pressure are
	86	! calculated.
[343]	87	! Added missing timeseries calculation of w"q"(0), moved timeseries q* to the
	88	! end.
[291]	89	! Temperature gradient criterion for estimating the boundary layer height
	90	! replaced by the gradient criterion of Sullivan et al. (1998).
[254]	91	! Output of messages replaced by message handling routine.
[1]	92	!
[198]	93	! 197 2008-09-16 15:29:03Z raasch
	94	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
	95	! added,
	96	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
	97	! (like other scalars)
	98	!
[139]	99	! 133 2007-11-20 10:10:53Z letzel
	100	! Vertical profiles now based on nzb_s_inner; they are divided by
	101	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
	102	! velocity components and their products, procucts of scalars and velocity
	103	! components), respectively.
	104	!
[110]	105	! 106 2007-08-16 14:30:26Z raasch
	106	! Prescribed momentum fluxes at the top surface are used,
	107	! profiles for wp and w"e are calculated
	108	!
[98]	109	! 97 2007-06-21 08:23:15Z raasch
	110	! Statistics for ocean version (salinity, density) added,
	111	! calculation of z_i and Deardorff velocity scale adjusted to be used with
	112	! the ocean version
	113	!
[90]	114	! 87 2007-05-22 15:46:47Z raasch
	115	! Two more arguments added to user_statistics, which is now also called for
	116	! user-defined profiles,
	117	! var_hom and var_sum renamed pr_palm
	118	!
[83]	119	! 82 2007-04-16 15:40:52Z raasch
	120	! Cpp-directive lcmuk changed to intel_openmp_bug
	121	!
[77]	122	! 75 2007-03-22 09:54:05Z raasch
	123	! Collection of time series quantities moved from routine flow_statistics to
	124	! here, routine user_statistics is called for each statistic region,
	125	! moisture renamed humidity
	126	!
[39]	127	! 19 2007-02-23 04:53:48Z raasch
[77]	128	! fluxes at top modified (tswst, qswst)
[39]	129	!
[3]	130	! RCS Log replace by Id keyword, revision history cleaned up
	131	!
[1]	132	! Revision 1.41 2006/08/04 14:37:50 raasch
	133	! Error removed in non-parallel part (sums_l)
	134	!
	135	! Revision 1.1 1997/08/11 06:15:17 raasch
	136	! Initial revision
	137	!
	138	!
	139	! Description:
	140	! ------------
	141	! Compute average profiles and further average flow quantities for the different
	142	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
	143	!
[132]	144	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
	145	! ---- lower vertical index for k-loops for all variables, although strictly
	146	! speaking the k-loops would have to be split up according to the staggered
	147	! grid. However, this implies no error since staggered velocity components are
	148	! zero at the walls and inside buildings.
[1]	149	!------------------------------------------------------------------------------!
	150
	151	USE arrays_3d
	152	USE cloud_parameters
[709]	153	USE control_parameters
[1]	154	USE cpulog
	155	USE grid_variables
	156	USE indices
	157	USE interfaces
	158	USE pegrid
	159	USE statistics
	160
	161	IMPLICIT NONE
	162
	163	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
	164	LOGICAL :: first
[291]	165	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
	166	ust2, u2, vst, vst2, v2, w2, z_i(2)
	167	REAL :: dptdz(nzb+1:nzt+1)
[1]	168	REAL :: sums_ll(nzb:nzt+1,2)
	169
	170	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
	171
	172	!
	173	!-- To be on the safe side, check whether flow_statistics has already been
	174	!-- called once after the current time step
	175	IF ( flow_statistics_called ) THEN
[254]	176
[274]	177	message_string = 'flow_statistics is called two times within one ' // &
	178	'timestep'
[254]	179	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
[1007]	180
[1]	181	ENDIF
	182
	183	!
	184	!-- Compute statistics for each (sub-)region
	185	DO sr = 0, statistic_regions
	186
	187	!
	188	!-- Initialize (local) summation array
	189	sums_l = 0.0
	190
	191	!
	192	!-- Store sums that have been computed in other subroutines in summation
	193	!-- array
	194	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
	195	!-- WARNING: next line still has to be adjusted for OpenMP
	196	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
[87]	197	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
	198	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
[1]	199
[667]	200	!
	201	!-- Copy the turbulent quantities, evaluated in the advection routines to
	202	!-- the local array sums_l() for further computations
[743]	203	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
[696]	204
[1007]	205	!
[673]	206	!-- According to the Neumann bc for the horizontal velocity components,
	207	!-- the corresponding fluxes has to satisfiy the same bc.
	208	IF ( ocean ) THEN
[801]	209	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
[1007]	210	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
[673]	211	ENDIF
[696]	212
	213	DO i = 0, threads_per_task-1
[1007]	214	!
[696]	215	!-- Swap the turbulent quantities evaluated in advec_ws.
[801]	216	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
	217	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
	218	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
	219	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
	220	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
[696]	221	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
[801]	222	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
	223	sums_ws2_ws_l(:,i) ) ! e*
[696]	224	DO k = nzb, nzt
[801]	225	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
	226	sums_us2_ws_l(k,i) + &
	227	sums_vs2_ws_l(k,i) + &
	228	sums_ws2_ws_l(k,i) )
[696]	229	ENDDO
[667]	230	ENDDO
[696]	231
[667]	232	ENDIF
[696]	233
[743]	234	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
[696]	235
	236	DO i = 0, threads_per_task-1
[801]	237	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
	238	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
[696]	239	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
[801]	240	sums_wsqs_ws_l(:,i) !wq
[696]	241	ENDDO
	242
[667]	243	ENDIF
[305]	244	!
[1]	245	!-- Horizontally averaged profiles of horizontal velocities and temperature.
	246	!-- They must have been computed before, because they are already required
	247	!-- for other horizontal averages.
	248	tn = 0
[667]	249
[1]	250	!$OMP PARALLEL PRIVATE( i, j, k, tn )
[82]	251	#if defined( __intel_openmp_bug )
[1]	252	tn = omp_get_thread_num()
	253	#else
	254	!$ tn = omp_get_thread_num()
	255	#endif
	256
	257	!$OMP DO
	258	DO i = nxl, nxr
	259	DO j = nys, nyn
[132]	260	DO k = nzb_s_inner(j,i), nzt+1
[1]	261	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
	262	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
	263	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
	264	ENDDO
	265	ENDDO
	266	ENDDO
	267
	268	!
[96]	269	!-- Horizontally averaged profile of salinity
	270	IF ( ocean ) THEN
	271	!$OMP DO
	272	DO i = nxl, nxr
	273	DO j = nys, nyn
[132]	274	DO k = nzb_s_inner(j,i), nzt+1
[96]	275	sums_l(k,23,tn) = sums_l(k,23,tn) + &
	276	sa(k,j,i) * rmask(j,i,sr)
	277	ENDDO
	278	ENDDO
	279	ENDDO
	280	ENDIF
	281
	282	!
[1]	283	!-- Horizontally averaged profiles of virtual potential temperature,
	284	!-- total water content, specific humidity and liquid water potential
	285	!-- temperature
[75]	286	IF ( humidity ) THEN
[1]	287	!$OMP DO
	288	DO i = nxl, nxr
	289	DO j = nys, nyn
[132]	290	DO k = nzb_s_inner(j,i), nzt+1
[1]	291	sums_l(k,44,tn) = sums_l(k,44,tn) + &
	292	vpt(k,j,i) * rmask(j,i,sr)
	293	sums_l(k,41,tn) = sums_l(k,41,tn) + &
	294	q(k,j,i) * rmask(j,i,sr)
	295	ENDDO
	296	ENDDO
	297	ENDDO
	298	IF ( cloud_physics ) THEN
	299	!$OMP DO
	300	DO i = nxl, nxr
	301	DO j = nys, nyn
[132]	302	DO k = nzb_s_inner(j,i), nzt+1
[1]	303	sums_l(k,42,tn) = sums_l(k,42,tn) + &
	304	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
	305	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
	306	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
	307	) * rmask(j,i,sr)
	308	ENDDO
	309	ENDDO
	310	ENDDO
	311	ENDIF
	312	ENDIF
	313
	314	!
	315	!-- Horizontally averaged profiles of passive scalar
	316	IF ( passive_scalar ) THEN
	317	!$OMP DO
	318	DO i = nxl, nxr
	319	DO j = nys, nyn
[132]	320	DO k = nzb_s_inner(j,i), nzt+1
[1]	321	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
	322	ENDDO
	323	ENDDO
	324	ENDDO
	325	ENDIF
	326	!$OMP END PARALLEL
	327	!
	328	!-- Summation of thread sums
	329	IF ( threads_per_task > 1 ) THEN
	330	DO i = 1, threads_per_task-1
	331	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
	332	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
	333	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
[96]	334	IF ( ocean ) THEN
	335	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
	336	ENDIF
[75]	337	IF ( humidity ) THEN
[1]	338	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	339	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
	340	IF ( cloud_physics ) THEN
	341	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
	342	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
	343	ENDIF
	344	ENDIF
	345	IF ( passive_scalar ) THEN
	346	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	347	ENDIF
	348	ENDDO
	349	ENDIF
	350
	351	#if defined( __parallel )
	352	!
	353	!-- Compute total sum from local sums
[622]	354	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	355	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
	356	MPI_SUM, comm2d, ierr )
[622]	357	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	358	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
	359	MPI_SUM, comm2d, ierr )
[622]	360	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	361	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
	362	MPI_SUM, comm2d, ierr )
[96]	363	IF ( ocean ) THEN
[622]	364	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[96]	365	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
	366	MPI_REAL, MPI_SUM, comm2d, ierr )
	367	ENDIF
[75]	368	IF ( humidity ) THEN
[622]	369	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	370	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
	371	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	372	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	373	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	374	MPI_REAL, MPI_SUM, comm2d, ierr )
	375	IF ( cloud_physics ) THEN
[622]	376	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	377	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
	378	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	379	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	380	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
	381	MPI_REAL, MPI_SUM, comm2d, ierr )
	382	ENDIF
	383	ENDIF
	384
	385	IF ( passive_scalar ) THEN
[622]	386	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	387	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	388	MPI_REAL, MPI_SUM, comm2d, ierr )
	389	ENDIF
	390	#else
	391	sums(:,1) = sums_l(:,1,0)
	392	sums(:,2) = sums_l(:,2,0)
	393	sums(:,4) = sums_l(:,4,0)
[96]	394	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
[75]	395	IF ( humidity ) THEN
[1]	396	sums(:,44) = sums_l(:,44,0)
	397	sums(:,41) = sums_l(:,41,0)
	398	IF ( cloud_physics ) THEN
	399	sums(:,42) = sums_l(:,42,0)
	400	sums(:,43) = sums_l(:,43,0)
	401	ENDIF
	402	ENDIF
	403	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
	404	#endif
	405
	406	!
	407	!-- Final values are obtained by division by the total number of grid points
	408	!-- used for summation. After that store profiles.
[132]	409	sums(:,1) = sums(:,1) / ngp_2dh(sr)
	410	sums(:,2) = sums(:,2) / ngp_2dh(sr)
	411	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
[1]	412	hom(:,1,1,sr) = sums(:,1) ! u
	413	hom(:,1,2,sr) = sums(:,2) ! v
	414	hom(:,1,4,sr) = sums(:,4) ! pt
	415
[667]	416
[1]	417	!
[96]	418	!-- Salinity
	419	IF ( ocean ) THEN
[132]	420	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
[96]	421	hom(:,1,23,sr) = sums(:,23) ! sa
	422	ENDIF
	423
	424	!
[1]	425	!-- Humidity and cloud parameters
[75]	426	IF ( humidity ) THEN
[132]	427	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
	428	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
[1]	429	hom(:,1,44,sr) = sums(:,44) ! vpt
	430	hom(:,1,41,sr) = sums(:,41) ! qv (q)
	431	IF ( cloud_physics ) THEN
[132]	432	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
	433	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
[1]	434	hom(:,1,42,sr) = sums(:,42) ! qv
	435	hom(:,1,43,sr) = sums(:,43) ! pt
	436	ENDIF
	437	ENDIF
	438
	439	!
	440	!-- Passive scalar
[132]	441	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
	442	ngp_2dh_s_inner(:,sr) ! s (q)
[1]	443
	444	!
	445	!-- Horizontally averaged profiles of the remaining prognostic variables,
	446	!-- variances, the total and the perturbation energy (single values in last
	447	!-- column of sums_l) and some diagnostic quantities.
[132]	448	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	449	!-- ---- speaking the following k-loop would have to be split up and
	450	!-- rearranged according to the staggered grid.
[132]	451	!-- However, this implies no error since staggered velocity components
	452	!-- are zero at the walls and inside buildings.
[1]	453	tn = 0
[82]	454	#if defined( __intel_openmp_bug )
[1]	455	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
	456	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
	457	tn = omp_get_thread_num()
	458	#else
	459	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
	460	!$ tn = omp_get_thread_num()
	461	#endif
	462	!$OMP DO
	463	DO i = nxl, nxr
	464	DO j = nys, nyn
	465	sums_l_etot = 0.0
[132]	466	DO k = nzb_s_inner(j,i), nzt+1
[1]	467	!
	468	!-- Prognostic and diagnostic variables
	469	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
	470	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
	471	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
	472	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
	473	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
	474
	475	sums_l(k,33,tn) = sums_l(k,33,tn) + &
	476	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
[624]	477
	478	IF ( humidity ) THEN
	479	sums_l(k,70,tn) = sums_l(k,70,tn) + &
	480	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
	481	ENDIF
[1007]	482
[699]	483	!
	484	!-- Higher moments
	485	!-- (Computation of the skewness of w further below)
	486	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
[667]	487
[1]	488	sums_l_etot = sums_l_etot + &
[667]	489	0.5 * ( u(k,j,i)2 + v(k,j,i)2 + &
	490	w(k,j,i)*2 ) rmask(j,i,sr)
[1]	491	ENDDO
	492	!
	493	!-- Total and perturbation energy for the total domain (being
	494	!-- collected in the last column of sums_l). Summation of these
	495	!-- quantities is seperated from the previous loop in order to
	496	!-- allow vectorization of that loop.
[87]	497	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
[1]	498	!
	499	!-- 2D-arrays (being collected in the last column of sums_l)
[87]	500	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
[1]	501	us(j,i) * rmask(j,i,sr)
[87]	502	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
[1]	503	usws(j,i) * rmask(j,i,sr)
[87]	504	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
[1]	505	vsws(j,i) * rmask(j,i,sr)
[87]	506	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
[1]	507	ts(j,i) * rmask(j,i,sr)
[197]	508	IF ( humidity ) THEN
	509	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
	510	qs(j,i) * rmask(j,i,sr)
	511	ENDIF
[1]	512	ENDDO
	513	ENDDO
	514
	515	!
[667]	516	!-- Computation of statistics when ws-scheme is not used. Else these
	517	!-- quantities are evaluated in the advection routines.
[743]	518	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	519	!$OMP DO
	520	DO i = nxl, nxr
	521	DO j = nys, nyn
	522	sums_l_eper = 0.0
	523	DO k = nzb_s_inner(j,i), nzt+1
	524	u2 = u(k,j,i)**2
	525	v2 = v(k,j,i)**2
	526	w2 = w(k,j,i)**2
	527	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
	528	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
	529
	530	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
	531	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
	532	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
	533	!
	534	!-- Perturbation energy
	535
	536	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * &
	537	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
	538	sums_l_eper = sums_l_eper + &
	539	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
	540
	541	ENDDO
	542	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
	543	+ sums_l_eper
	544	ENDDO
	545	ENDDO
	546	ENDIF
	547	!
[1]	548	!-- Horizontally averaged profiles of the vertical fluxes
[667]	549
[1]	550	!$OMP DO
	551	DO i = nxl, nxr
	552	DO j = nys, nyn
	553	!
	554	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
	555	!-- oterwise from k=nzb+1)
[132]	556	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
[1]	557	!-- ---- strictly speaking the following k-loop would have to be
	558	!-- split up according to the staggered grid.
[132]	559	!-- However, this implies no error since staggered velocity
	560	!-- components are zero at the walls and inside buildings.
	561
	562	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
[1]	563	!
	564	!-- Momentum flux w"u"
	565	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
	566	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
	567	) * ( &
	568	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	569	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	570	) * rmask(j,i,sr)
	571	!
	572	!-- Momentum flux w"v"
	573	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
	574	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
	575	) * ( &
	576	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	577	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	578	) * rmask(j,i,sr)
	579	!
	580	!-- Heat flux w"pt"
	581	sums_l(k,16,tn) = sums_l(k,16,tn) &
	582	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	583	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	584	* ddzu(k+1) * rmask(j,i,sr)
	585
	586
	587	!
[96]	588	!-- Salinity flux w"sa"
	589	IF ( ocean ) THEN
	590	sums_l(k,65,tn) = sums_l(k,65,tn) &
	591	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	592	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	593	* ddzu(k+1) * rmask(j,i,sr)
	594	ENDIF
	595
	596	!
[1]	597	!-- Buoyancy flux, water flux (humidity flux) w"q"
[75]	598	IF ( humidity ) THEN
[1]	599	sums_l(k,45,tn) = sums_l(k,45,tn) &
	600	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	601	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	602	* ddzu(k+1) * rmask(j,i,sr)
	603	sums_l(k,48,tn) = sums_l(k,48,tn) &
	604	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	605	* ( q(k+1,j,i) - q(k,j,i) ) &
	606	* ddzu(k+1) * rmask(j,i,sr)
[1007]	607
[1]	608	IF ( cloud_physics ) THEN
	609	sums_l(k,51,tn) = sums_l(k,51,tn) &
	610	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	611	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
	612	- ( q(k,j,i) - ql(k,j,i) ) ) &
	613	* ddzu(k+1) * rmask(j,i,sr)
	614	ENDIF
	615	ENDIF
	616
	617	!
	618	!-- Passive scalar flux
	619	IF ( passive_scalar ) THEN
	620	sums_l(k,48,tn) = sums_l(k,48,tn) &
	621	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	622	* ( q(k+1,j,i) - q(k,j,i) ) &
	623	* ddzu(k+1) * rmask(j,i,sr)
	624	ENDIF
	625
	626	ENDDO
	627
	628	!
	629	!-- Subgridscale fluxes in the Prandtl layer
	630	IF ( use_surface_fluxes ) THEN
	631	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
	632	usws(j,i) * rmask(j,i,sr) ! w"u"
	633	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
	634	vsws(j,i) * rmask(j,i,sr) ! w"v"
	635	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
	636	shf(j,i) * rmask(j,i,sr) ! w"pt"
	637	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
	638	0.0 * rmask(j,i,sr) ! u"pt"
	639	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
	640	0.0 * rmask(j,i,sr) ! v"pt"
[96]	641	IF ( ocean ) THEN
	642	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
	643	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	644	ENDIF
[75]	645	IF ( humidity ) THEN
[1]	646	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	647	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	648	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	649	( 1.0 + 0.61 * q(nzb,j,i) ) * &
	650	shf(j,i) + 0.61 * pt(nzb,j,i) * &
	651	qsws(j,i) )
	652	IF ( cloud_droplets ) THEN
	653	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	654	( 1.0 + 0.61 * q(nzb,j,i) - &
	655	ql(nzb,j,i) ) * shf(j,i) + &
	656	0.61 * pt(nzb,j,i) * qsws(j,i) )
	657	ENDIF
[1]	658	IF ( cloud_physics ) THEN
	659	!
	660	!-- Formula does not work if ql(nzb) /= 0.0
	661	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
	662	qsws(j,i) * rmask(j,i,sr)
	663	ENDIF
	664	ENDIF
	665	IF ( passive_scalar ) THEN
	666	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	667	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	668	ENDIF
	669	ENDIF
	670
	671	!
[19]	672	!-- Subgridscale fluxes at the top surface
	673	IF ( use_top_fluxes ) THEN
[550]	674	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
[102]	675	uswst(j,i) * rmask(j,i,sr) ! w"u"
[550]	676	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
[102]	677	vswst(j,i) * rmask(j,i,sr) ! w"v"
[550]	678	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
[19]	679	tswst(j,i) * rmask(j,i,sr) ! w"pt"
[550]	680	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
[19]	681	0.0 * rmask(j,i,sr) ! u"pt"
[550]	682	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
	683	0.0 * rmask(j,i,sr) ! v"pt"
	684
[96]	685	IF ( ocean ) THEN
	686	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
	687	saswst(j,i) * rmask(j,i,sr) ! w"sa"
	688	ENDIF
[75]	689	IF ( humidity ) THEN
[19]	690	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	691	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	692	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	693	( 1.0 + 0.61 * q(nzt,j,i) ) * &
	694	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
	695	qswst(j,i) )
	696	IF ( cloud_droplets ) THEN
	697	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	698	( 1.0 + 0.61 * q(nzt,j,i) - &
	699	ql(nzt,j,i) ) * tswst(j,i) + &
	700	0.61 * pt(nzt,j,i) * qswst(j,i) )
	701	ENDIF
[19]	702	IF ( cloud_physics ) THEN
	703	!
	704	!-- Formula does not work if ql(nzb) /= 0.0
	705	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
	706	qswst(j,i) * rmask(j,i,sr)
	707	ENDIF
	708	ENDIF
	709	IF ( passive_scalar ) THEN
	710	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	711	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[19]	712	ENDIF
	713	ENDIF
	714
	715	!
[1]	716	!-- Resolved fluxes (can be computed for all horizontal points)
[132]	717	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	718	!-- ---- speaking the following k-loop would have to be split up and
	719	!-- rearranged according to the staggered grid.
[132]	720	DO k = nzb_s_inner(j,i), nzt
[1]	721	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	722	u(k+1,j,i) - hom(k+1,1,1,sr) )
	723	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	724	v(k+1,j,i) - hom(k+1,1,2,sr) )
	725	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	726	pt(k+1,j,i) - hom(k+1,1,4,sr) )
[667]	727
[1]	728	!-- Higher moments
	729	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
	730	rmask(j,i,sr)
	731	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
	732	rmask(j,i,sr)
	733
	734	!
[96]	735	!-- Salinity flux and density (density does not belong to here,
[97]	736	!-- but so far there is no other suitable place to calculate)
[96]	737	IF ( ocean ) THEN
[743]	738	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	739	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
[96]	740	sa(k+1,j,i) - hom(k+1,1,23,sr) )
[667]	741	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
[96]	742	rmask(j,i,sr)
[667]	743	ENDIF
[96]	744	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
	745	rmask(j,i,sr)
[388]	746	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
	747	rmask(j,i,sr)
[96]	748	ENDIF
	749
	750	!
[1053]	751	!-- Buoyancy flux, water flux, humidity flux, liquid water
	752	!-- content, rain drop concentration and rain water content
[75]	753	IF ( humidity ) THEN
[1007]	754	IF ( cloud_physics .OR. cloud_droplets ) THEN
[1053]	755	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
[1007]	756	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	757	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
[1]	758	rmask(j,i,sr)
[1053]	759	IF ( .NOT. cloud_droplets ) THEN
	760	pts = 0.5 * &
	761	( ( q(k,j,i) - ql(k,j,i) ) - &
	762	hom(k,1,42,sr) + &
	763	( q(k+1,j,i) - ql(k+1,j,i) ) - &
	764	hom(k+1,1,42,sr) )
	765	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
	766	rmask(j,i,sr)
	767	IF ( icloud_scheme == 0 ) THEN
	768	sums_l(k,54,tn) = sums_l(k,54,tn) + ( ql(k,j,i) + &
	769	qr(k,j,i) ) * &
	770	rmask(j,i,sr)
	771	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
	772	rmask(j,i,sr)
	773	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
	774	rmask(j,i,sr)
	775	sums_l(k,75,tn) = sums_l(k,75,tn) + ql(k,j,i) * &
	776	rmask(j,i,sr)
	777	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * &
	778	rmask(j,i,sr)
	779	ELSE
	780	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
	781	rmask(j,i,sr)
	782	ENDIF
	783	ELSE
	784	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
	785	rmask(j,i,sr)
	786	ENDIF
[1007]	787	ELSE
	788	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	789	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	790	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	791	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
	792	rmask(j,i,sr)
	793	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
[1053]	794	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * &
[1007]	795	sums_l(k,17,tn) + &
	796	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
	797	END IF
	798	END IF
[1]	799	ENDIF
	800	!
	801	!-- Passive scalar flux
[743]	802	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
	803	.OR. sr /= 0 ) ) THEN
[1]	804	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	805	q(k+1,j,i) - hom(k+1,1,41,sr) )
	806	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	807	rmask(j,i,sr)
	808	ENDIF
	809
	810	!
	811	!-- Energy flux we
[667]	812	!-- has to be adjusted
	813	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
	814	( ust2 + vst2 + w(k,j,i)**2 )&
	815	* rmask(j,i,sr)
[1]	816	ENDDO
	817	ENDDO
	818	ENDDO
[709]	819	!
	820	!-- For speed optimization fluxes which have been computed in part directly
	821	!-- inside the WS advection routines are treated seperatly
	822	!-- Momentum fluxes first:
[743]	823	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	824	!$OMP DO
	825	DO i = nxl, nxr
	826	DO j = nys, nyn
	827	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	828	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	829	u(k+1,j,i) - hom(k+1,1,1,sr) )
	830	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	831	v(k+1,j,i) - hom(k+1,1,2,sr) )
[1007]	832	!
[667]	833	!-- Momentum flux wu
	834	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
	835	( w(k,j,i-1) + w(k,j,i) ) &
	836	* ust * rmask(j,i,sr)
	837	!
	838	!-- Momentum flux wv
	839	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
	840	( w(k,j-1,i) + w(k,j,i) ) &
	841	* vst * rmask(j,i,sr)
	842	ENDDO
	843	ENDDO
	844	ENDDO
[1]	845
[667]	846	ENDIF
[743]	847	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	848	!$OMP DO
	849	DO i = nxl, nxr
	850	DO j = nys, nyn
[709]	851	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	852	!
	853	!-- Vertical heat flux
[667]	854	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
	855	( pt(k,j,i) - hom(k,1,4,sr) + &
	856	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
	857	* w(k,j,i) * rmask(j,i,sr)
	858	IF ( humidity ) THEN
	859	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	860	q(k+1,j,i) - hom(k+1,1,41,sr) )
	861	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	862	rmask(j,i,sr)
	863	ENDIF
	864	ENDDO
	865	ENDDO
	866	ENDDO
	867
	868	ENDIF
	869
	870
[1]	871	!
[97]	872	!-- Density at top follows Neumann condition
[388]	873	IF ( ocean ) THEN
	874	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	875	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
	876	ENDIF
[97]	877
	878	!
[1]	879	!-- Divergence of vertical flux of resolved scale energy and pressure
[106]	880	!-- fluctuations as well as flux of pressure fluctuation itself (68).
	881	!-- First calculate the products, then the divergence.
[1]	882	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
[106]	883	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
[1]	884
	885	sums_ll = 0.0 ! local array
	886
	887	!$OMP DO
	888	DO i = nxl, nxr
	889	DO j = nys, nyn
[132]	890	DO k = nzb_s_inner(j,i)+1, nzt
[1]	891
	892	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	893	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
[678]	894	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
[1]	895	) )**2 &
	896	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
[678]	897	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
[1]	898	) )**2 &
	899	+ w(k,j,i)**2 )
	900
	901	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	902	* ( p(k,j,i) + p(k+1,j,i) )
	903
	904	ENDDO
	905	ENDDO
	906	ENDDO
	907	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	908	sums_ll(nzt+1,1) = 0.0
	909	sums_ll(0,2) = 0.0
	910	sums_ll(nzt+1,2) = 0.0
	911
[678]	912	DO k = nzb+1, nzt
[1]	913	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	914	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
[106]	915	sums_l(k,68,tn) = sums_ll(k,2)
[1]	916	ENDDO
	917	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	918	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
[106]	919	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
[1]	920
	921	ENDIF
	922
	923	!
[106]	924	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
	925	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
[1]	926
	927	!$OMP DO
	928	DO i = nxl, nxr
	929	DO j = nys, nyn
[132]	930	DO k = nzb_s_inner(j,i)+1, nzt
[1]	931
[106]	932	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
[1]	933	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	934	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
[106]	935	) * ddzw(k)
[1]	936
[106]	937	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
	938	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	939	)
	940
[1]	941	ENDDO
	942	ENDDO
	943	ENDDO
	944	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
[106]	945	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
[1]	946
	947	ENDIF
	948
	949	!
	950	!-- Horizontal heat fluxes (subgrid, resolved, total).
	951	!-- Do it only, if profiles shall be plotted.
	952	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	953
	954	!$OMP DO
	955	DO i = nxl, nxr
	956	DO j = nys, nyn
[132]	957	DO k = nzb_s_inner(j,i)+1, nzt
[1]	958	!
	959	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	960	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	961	( kh(k,j,i) + kh(k,j,i-1) ) &
	962	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	963	* ddx * rmask(j,i,sr)
	964	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	965	( kh(k,j,i) + kh(k,j-1,i) ) &
	966	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	967	* ddy * rmask(j,i,sr)
	968	!
	969	!-- Resolved horizontal heat fluxes upt, vpt
	970	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	971	( u(k,j,i) - hom(k,1,1,sr) ) &
	972	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	973	pt(k,j,i) - hom(k,1,4,sr) )
	974	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	975	pt(k,j,i) - hom(k,1,4,sr) )
	976	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	977	( v(k,j,i) - hom(k,1,2,sr) ) &
	978	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	979	pt(k,j,i) - hom(k,1,4,sr) )
	980	ENDDO
	981	ENDDO
	982	ENDDO
	983	!
	984	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
[97]	985	sums_l(nzb,58,tn) = 0.0
	986	sums_l(nzb,59,tn) = 0.0
	987	sums_l(nzb,60,tn) = 0.0
	988	sums_l(nzb,61,tn) = 0.0
	989	sums_l(nzb,62,tn) = 0.0
	990	sums_l(nzb,63,tn) = 0.0
[1]	991
	992	ENDIF
[87]	993
	994	!
	995	!-- Calculate the user-defined profiles
	996	CALL user_statistics( 'profiles', sr, tn )
[1]	997	!$OMP END PARALLEL
	998
	999	!
	1000	!-- Summation of thread sums
	1001	IF ( threads_per_task > 1 ) THEN
	1002	DO i = 1, threads_per_task-1
	1003	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	1004	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
[87]	1005	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	1006	sums_l(:,45:pr_palm,i)
	1007	IF ( max_pr_user > 0 ) THEN
	1008	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	1009	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	1010	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	1011	ENDIF
[1]	1012	ENDDO
	1013	ENDIF
	1014
	1015	#if defined( __parallel )
[667]	1016
[1]	1017	!
	1018	!-- Compute total sum from local sums
[622]	1019	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	1020	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	1021	MPI_SUM, comm2d, ierr )
	1022	#else
	1023	sums = sums_l(:,:,0)
	1024	#endif
	1025
	1026	!
	1027	!-- Final values are obtained by division by the total number of grid points
	1028	!-- used for summation. After that store profiles.
	1029	!-- Profiles:
	1030	DO k = nzb, nzt+1
[132]	1031	sums(k,3) = sums(k,3) / ngp_2dh(sr)
[142]	1032	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
[132]	1033	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
	1034	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
	1035	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
[142]	1036	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
	1037	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
[132]	1038	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
	1039	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
	1040	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
	1041	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
	1042	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
	1043	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
	1044	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
[1]	1045	ENDDO
[667]	1046
[1]	1047	!-- Upstream-parts
[87]	1048	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
[1]	1049	!-- u* and so on
[87]	1050	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
[1]	1051	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	1052	!-- above the topography, they are being divided by ngp_2dh(sr)
[87]	1053	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
[1]	1054	ngp_2dh(sr)
[197]	1055	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
	1056	ngp_2dh(sr)
[1]	1057	!-- eges, e*
[87]	1058	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
[132]	1059	ngp_3d(sr)
[1]	1060	!-- Old and new divergence
[87]	1061	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
[1]	1062	ngp_3d_inner(sr)
	1063
[87]	1064	!-- User-defined profiles
	1065	IF ( max_pr_user > 0 ) THEN
	1066	DO k = nzb, nzt+1
	1067	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	1068	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
[132]	1069	ngp_2dh_s_inner(k,sr)
[87]	1070	ENDDO
	1071	ENDIF
[1007]	1072
[1]	1073	!
	1074	!-- Collect horizontal average in hom.
	1075	!-- Compute deduced averages (e.g. total heat flux)
	1076	hom(:,1,3,sr) = sums(:,3) ! w
	1077	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	1078	hom(:,1,9,sr) = sums(:,9) ! km
	1079	hom(:,1,10,sr) = sums(:,10) ! kh
	1080	hom(:,1,11,sr) = sums(:,11) ! l
	1081	hom(:,1,12,sr) = sums(:,12) ! w"u"
	1082	hom(:,1,13,sr) = sums(:,13) ! wu
	1083	hom(:,1,14,sr) = sums(:,14) ! w"v"
	1084	hom(:,1,15,sr) = sums(:,15) ! wv
	1085	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	1086	hom(:,1,17,sr) = sums(:,17) ! wpt
	1087	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	1088	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	1089	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	1090	hom(:,1,21,sr) = sums(:,21) ! wptBC
	1091	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
[96]	1092	! profile 24 is initial profile (sa)
	1093	! profiles 25-29 left empty for initial
[1]	1094	! profiles
	1095	hom(:,1,30,sr) = sums(:,30) ! u*2
	1096	hom(:,1,31,sr) = sums(:,31) ! v*2
	1097	hom(:,1,32,sr) = sums(:,32) ! w*2
	1098	hom(:,1,33,sr) = sums(:,33) ! pt*2
	1099	hom(:,1,34,sr) = sums(:,34) ! e*
	1100	hom(:,1,35,sr) = sums(:,35) ! w2pt
	1101	hom(:,1,36,sr) = sums(:,36) ! wpt2
	1102	hom(:,1,37,sr) = sums(:,37) ! we
	1103	hom(:,1,38,sr) = sums(:,38) ! w*3
[699]	1104	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
[1]	1105	hom(:,1,40,sr) = sums(:,40) ! p
[531]	1106	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
[1]	1107	hom(:,1,46,sr) = sums(:,46) ! wvpt
	1108	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	1109	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	1110	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	1111	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	1112	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	1113	hom(:,1,52,sr) = sums(:,52) ! wqv
	1114	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	1115	hom(:,1,54,sr) = sums(:,54) ! ql
	1116	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	1117	hom(:,1,56,sr) = sums(:,56) ! wp/dz
[106]	1118	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
[1]	1119	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	1120	hom(:,1,59,sr) = sums(:,59) ! upt
	1121	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	1122	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	1123	hom(:,1,62,sr) = sums(:,62) ! vpt
	1124	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
[96]	1125	hom(:,1,64,sr) = sums(:,64) ! rho
	1126	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	1127	hom(:,1,66,sr) = sums(:,66) ! wsa
	1128	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
[106]	1129	hom(:,1,68,sr) = sums(:,68) ! wp
	1130	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
[197]	1131	hom(:,1,70,sr) = sums(:,70) ! q*2
[388]	1132	hom(:,1,71,sr) = sums(:,71) ! prho
[531]	1133	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
[1053]	1134	hom(:,1,73,sr) = sums(:,73) ! nr
	1135	hom(:,1,74,sr) = sums(:,74) ! qr
	1136	hom(:,1,75,sr) = sums(:,75) ! qc
	1137	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
[1]	1138
[87]	1139	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
[1]	1140	! upstream-parts u_x, u_y, u_z, v_x,
	1141	! v_y, usw. (in last but one profile)
[667]	1142	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
[1]	1143	! u, w'u', w'v', t (in last profile)
	1144
[87]	1145	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	1146	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	1147	sums(:,pr_palm+1:pr_palm+max_pr_user)
	1148	ENDIF
	1149
[1]	1150	!
	1151	!-- Determine the boundary layer height using two different schemes.
[94]	1152	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	1153	!-- first relative minimum (maximum) of the total heat flux.
	1154	!-- The corresponding height is assumed as the boundary layer height, if it
	1155	!-- is less than 1.5 times the height where the heat flux becomes negative
	1156	!-- (positive) for the first time.
[1]	1157	z_i(1) = 0.0
	1158	first = .TRUE.
[667]	1159
[97]	1160	IF ( ocean ) THEN
	1161	DO k = nzt, nzb+1, -1
[667]	1162	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1163	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
[97]	1164	first = .FALSE.
	1165	height = zw(k)
	1166	ENDIF
	1167	IF ( hom(k,1,18,sr) < 0.0 .AND. &
[667]	1168	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[97]	1169	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1170	IF ( zw(k) < 1.5 * height ) THEN
	1171	z_i(1) = zw(k)
	1172	ELSE
	1173	z_i(1) = height
	1174	ENDIF
	1175	EXIT
	1176	ENDIF
	1177	ENDDO
	1178	ELSE
[94]	1179	DO k = nzb, nzt-1
[667]	1180	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1181	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
[94]	1182	first = .FALSE.
	1183	height = zw(k)
[1]	1184	ENDIF
[667]	1185	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	1186	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[94]	1187	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1188	IF ( zw(k) < 1.5 * height ) THEN
	1189	z_i(1) = zw(k)
	1190	ELSE
	1191	z_i(1) = height
	1192	ENDIF
	1193	EXIT
	1194	ENDIF
	1195	ENDDO
[97]	1196	ENDIF
[1]	1197
	1198	!
[291]	1199	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
	1200	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
	1201	!-- maximal local temperature gradient: starting from the second (the last
	1202	!-- but one) vertical gridpoint, the local gradient must be at least
	1203	!-- 0.2K/100m and greater than the next four gradients.
	1204	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
	1205	!-- ocean case!
[1]	1206	z_i(2) = 0.0
[291]	1207	DO k = nzb+1, nzt+1
	1208	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
	1209	ENDDO
	1210	dptdz_threshold = 0.2 / 100.0
	1211
[97]	1212	IF ( ocean ) THEN
[291]	1213	DO k = nzt+1, nzb+5, -1
	1214	IF ( dptdz(k) > dptdz_threshold .AND. &
	1215	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
	1216	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
	1217	z_i(2) = zw(k-1)
[97]	1218	EXIT
	1219	ENDIF
	1220	ENDDO
	1221	ELSE
[291]	1222	DO k = nzb+1, nzt-3
	1223	IF ( dptdz(k) > dptdz_threshold .AND. &
	1224	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
	1225	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
	1226	z_i(2) = zw(k-1)
[97]	1227	EXIT
	1228	ENDIF
	1229	ENDDO
	1230	ENDIF
[1]	1231
[87]	1232	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	1233	hom(nzb+7,1,pr_palm,sr) = z_i(2)
[1]	1234
	1235	!
	1236	!-- Computation of both the characteristic vertical velocity and
	1237	!-- the characteristic convective boundary layer temperature.
	1238	!-- The horizontal average at nzb+1 is input for the average temperature.
[667]	1239	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
	1240	.AND. z_i(1) /= 0.0 ) THEN
[87]	1241	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
[94]	1242	hom(nzb,1,18,sr) * &
	1243	ABS( z_i(1) ) )**0.333333333
[1]	1244	!-- so far this only works if Prandtl layer is used
[87]	1245	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
[1]	1246	ELSE
[87]	1247	hom(nzb+8,1,pr_palm,sr) = 0.0
	1248	hom(nzb+11,1,pr_palm,sr) = 0.0
[1]	1249	ENDIF
	1250
[48]	1251	!
	1252	!-- Collect the time series quantities
[87]	1253	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	1254	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
[48]	1255	ts_value(3,sr) = dt_3d
[87]	1256	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	1257	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
[48]	1258	ts_value(6,sr) = u_max
	1259	ts_value(7,sr) = v_max
	1260	ts_value(8,sr) = w_max
[87]	1261	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	1262	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	1263	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	1264	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	1265	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
[48]	1266	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	1267	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	1268	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	1269	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	1270	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
[197]	1271	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
	1272	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
[343]	1273	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
[197]	1274
[48]	1275	IF ( ts_value(5,sr) /= 0.0 ) THEN
	1276	ts_value(22,sr) = ts_value(4,sr)**2 / &
	1277	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	1278	ELSE
	1279	ts_value(22,sr) = 10000.0
	1280	ENDIF
[1]	1281
[343]	1282	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
[1]	1283	!
[48]	1284	!-- Calculate additional statistics provided by the user interface
[87]	1285	CALL user_statistics( 'time_series', sr, 0 )
[1]	1286
[48]	1287	ENDDO ! loop of the subregions
	1288
[1]	1289	!
	1290	!-- If required, sum up horizontal averages for subsequent time averaging
	1291	IF ( do_sum ) THEN
	1292	IF ( average_count_pr == 0 ) hom_sum = 0.0
	1293	hom_sum = hom_sum + hom(:,1,:,:)
	1294	average_count_pr = average_count_pr + 1
	1295	do_sum = .FALSE.
	1296	ENDIF
	1297
	1298	!
	1299	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	1300	!-- This flag is reset after each time step in time_integration.
	1301	flow_statistics_called = .TRUE.
	1302
	1303	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	1304
	1305
	1306	END SUBROUTINE flow_statistics

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