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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1119

Last change on this file since 1119 was 1116, checked in by hoffmann, 12 years ago
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[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	! -----------------
[1008]	22	!
[1116]	23	!
[1008]	24	! Former revisions:
	25	! -----------------
	26	! $Id: flow_statistics.f90 1116 2013-03-26 18:49:55Z raasch $
	27	!
[1116]	28	! 1115 2013-03-26 18:16:16Z hoffmann
	29	! ql is calculated by calc_liquid_water_content
	30	!
[1112]	31	! 1111 2013-03-08 23:54:10Z raasch
	32	! openACC directive added
	33	!
[1054]	34	! 1053 2012-11-13 17:11:03Z hoffmann
[1112]	35	! additions for two-moment cloud physics scheme:
[1054]	36	! +nr, qr, qc, prr
	37	!
[1037]	38	! 1036 2012-10-22 13:43:42Z raasch
	39	! code put under GPL (PALM 3.9)
	40	!
[1008]	41	! 1007 2012-09-19 14:30:36Z franke
[1007]	42	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
	43	! turbulent fluxes of WS-scheme
	44	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
	45	! droplets at nzb and nzt added
[700]	46	!
[802]	47	! 801 2012-01-10 17:30:36Z suehring
	48	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
	49	!
[744]	50	! 743 2011-08-18 16:10:16Z suehring
	51	! Calculation of turbulent fluxes with WS-scheme only for the whole model
	52	! domain, not for user-defined subregions.
	53	!
[710]	54	! 709 2011-03-30 09:31:40Z raasch
	55	! formatting adjustments
	56	!
[700]	57	! 699 2011-03-22 17:52:22Z suehring
[699]	58	! Bugfix in calculation of vertical velocity skewness. The added absolute value
	59	! avoid negative values in the root. Negative values of w'w' can occur at the
	60	! top or bottom of the model domain due to degrading the order of advection
	61	! scheme. Furthermore the calculation will be the same for all advection
	62	! schemes.
[392]	63	!
[697]	64	! 696 2011-03-18 07:03:49Z raasch
	65	! Bugfix: Summation of Wicker-Skamarock scheme fluxes and variances for all
	66	! threads
	67	!
[679]	68	! 678 2011-02-02 14:31:56Z raasch
	69	! Bugfix in calculation of the divergence of vertical flux of resolved scale
	70	! energy, pressure fluctuations, and flux of pressure fluctuation itself
	71	!
[674]	72	! 673 2011-01-18 16:19:48Z suehring
	73	! Top bc for the horizontal velocity variances added for ocean runs.
	74	! Setting the corresponding bottom bc moved to advec_ws.
	75	!
[668]	76	! 667 2010-12-23 12:06:00Z suehring/gryschka
	77	! When advection is computed with ws-scheme, turbulent fluxes are already
	78	! computed in the respective advection routines and buffered in arrays
	79	! sums_xx_ws_l(). This is due to a consistent treatment of statistics with the
	80	! numerics and to avoid unphysical kinks near the surface.
	81	! So some if requests has to be done to dicern between fluxes from ws-scheme
	82	! other advection schemes.
	83	! Furthermore the computation of z_i is only done if the heat flux exceeds a
	84	! minimum value. This affects only simulations of a neutral boundary layer and
	85	! is due to reasons of computations in the advection scheme.
	86	!
[625]	87	! 624 2010-12-10 11:46:30Z heinze
	88	! Calculation of q*2 added
	89	!
[623]	90	! 622 2010-12-10 08:08:13Z raasch
	91	! optional barriers included in order to speed up collective operations
	92	!
[392]	93	! 388 2009-09-23 09:40:33Z raasch
[388]	94	! Vertical profiles of potential density and hydrostatic pressure are
	95	! calculated.
[343]	96	! Added missing timeseries calculation of w"q"(0), moved timeseries q* to the
	97	! end.
[291]	98	! Temperature gradient criterion for estimating the boundary layer height
	99	! replaced by the gradient criterion of Sullivan et al. (1998).
[254]	100	! Output of messages replaced by message handling routine.
[1]	101	!
[198]	102	! 197 2008-09-16 15:29:03Z raasch
	103	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
	104	! added,
	105	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
	106	! (like other scalars)
	107	!
[139]	108	! 133 2007-11-20 10:10:53Z letzel
	109	! Vertical profiles now based on nzb_s_inner; they are divided by
	110	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
	111	! velocity components and their products, procucts of scalars and velocity
	112	! components), respectively.
	113	!
[110]	114	! 106 2007-08-16 14:30:26Z raasch
	115	! Prescribed momentum fluxes at the top surface are used,
	116	! profiles for wp and w"e are calculated
	117	!
[98]	118	! 97 2007-06-21 08:23:15Z raasch
	119	! Statistics for ocean version (salinity, density) added,
	120	! calculation of z_i and Deardorff velocity scale adjusted to be used with
	121	! the ocean version
	122	!
[90]	123	! 87 2007-05-22 15:46:47Z raasch
	124	! Two more arguments added to user_statistics, which is now also called for
	125	! user-defined profiles,
	126	! var_hom and var_sum renamed pr_palm
	127	!
[83]	128	! 82 2007-04-16 15:40:52Z raasch
	129	! Cpp-directive lcmuk changed to intel_openmp_bug
	130	!
[77]	131	! 75 2007-03-22 09:54:05Z raasch
	132	! Collection of time series quantities moved from routine flow_statistics to
	133	! here, routine user_statistics is called for each statistic region,
	134	! moisture renamed humidity
	135	!
[39]	136	! 19 2007-02-23 04:53:48Z raasch
[77]	137	! fluxes at top modified (tswst, qswst)
[39]	138	!
[3]	139	! RCS Log replace by Id keyword, revision history cleaned up
	140	!
[1]	141	! Revision 1.41 2006/08/04 14:37:50 raasch
	142	! Error removed in non-parallel part (sums_l)
	143	!
	144	! Revision 1.1 1997/08/11 06:15:17 raasch
	145	! Initial revision
	146	!
	147	!
	148	! Description:
	149	! ------------
	150	! Compute average profiles and further average flow quantities for the different
	151	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
	152	!
[132]	153	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
	154	! ---- lower vertical index for k-loops for all variables, although strictly
	155	! speaking the k-loops would have to be split up according to the staggered
	156	! grid. However, this implies no error since staggered velocity components are
	157	! zero at the walls and inside buildings.
[1]	158	!------------------------------------------------------------------------------!
	159
	160	USE arrays_3d
	161	USE cloud_parameters
[709]	162	USE control_parameters
[1]	163	USE cpulog
	164	USE grid_variables
	165	USE indices
	166	USE interfaces
	167	USE pegrid
	168	USE statistics
	169
	170	IMPLICIT NONE
	171
	172	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
	173	LOGICAL :: first
[291]	174	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
	175	ust2, u2, vst, vst2, v2, w2, z_i(2)
	176	REAL :: dptdz(nzb+1:nzt+1)
[1]	177	REAL :: sums_ll(nzb:nzt+1,2)
	178
	179	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
	180
	181	!
	182	!-- To be on the safe side, check whether flow_statistics has already been
	183	!-- called once after the current time step
	184	IF ( flow_statistics_called ) THEN
[254]	185
[274]	186	message_string = 'flow_statistics is called two times within one ' // &
	187	'timestep'
[254]	188	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
[1007]	189
[1]	190	ENDIF
	191
[1111]	192	!$acc update host( km, kh, e, pt, qs, qsws, rif, shf, ts, u, v, w )
	193
[1]	194	!
	195	!-- Compute statistics for each (sub-)region
	196	DO sr = 0, statistic_regions
	197
	198	!
	199	!-- Initialize (local) summation array
	200	sums_l = 0.0
	201
	202	!
	203	!-- Store sums that have been computed in other subroutines in summation
	204	!-- array
	205	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
	206	!-- WARNING: next line still has to be adjusted for OpenMP
	207	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
[87]	208	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
	209	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
[1]	210
[667]	211	!
	212	!-- Copy the turbulent quantities, evaluated in the advection routines to
	213	!-- the local array sums_l() for further computations
[743]	214	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
[696]	215
[1007]	216	!
[673]	217	!-- According to the Neumann bc for the horizontal velocity components,
	218	!-- the corresponding fluxes has to satisfiy the same bc.
	219	IF ( ocean ) THEN
[801]	220	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
[1007]	221	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
[673]	222	ENDIF
[696]	223
	224	DO i = 0, threads_per_task-1
[1007]	225	!
[696]	226	!-- Swap the turbulent quantities evaluated in advec_ws.
[801]	227	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
	228	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
	229	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
	230	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
	231	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
[696]	232	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
[801]	233	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
	234	sums_ws2_ws_l(:,i) ) ! e*
[696]	235	DO k = nzb, nzt
[801]	236	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
	237	sums_us2_ws_l(k,i) + &
	238	sums_vs2_ws_l(k,i) + &
	239	sums_ws2_ws_l(k,i) )
[696]	240	ENDDO
[667]	241	ENDDO
[696]	242
[667]	243	ENDIF
[696]	244
[743]	245	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
[696]	246
	247	DO i = 0, threads_per_task-1
[801]	248	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
	249	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
[696]	250	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
[801]	251	sums_wsqs_ws_l(:,i) !wq
[696]	252	ENDDO
	253
[667]	254	ENDIF
[305]	255	!
[1]	256	!-- Horizontally averaged profiles of horizontal velocities and temperature.
	257	!-- They must have been computed before, because they are already required
	258	!-- for other horizontal averages.
	259	tn = 0
[667]	260
[1]	261	!$OMP PARALLEL PRIVATE( i, j, k, tn )
[82]	262	#if defined( __intel_openmp_bug )
[1]	263	tn = omp_get_thread_num()
	264	#else
	265	!$ tn = omp_get_thread_num()
	266	#endif
	267
	268	!$OMP DO
	269	DO i = nxl, nxr
	270	DO j = nys, nyn
[132]	271	DO k = nzb_s_inner(j,i), nzt+1
[1]	272	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
	273	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
	274	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
	275	ENDDO
	276	ENDDO
	277	ENDDO
	278
	279	!
[96]	280	!-- Horizontally averaged profile of salinity
	281	IF ( ocean ) THEN
	282	!$OMP DO
	283	DO i = nxl, nxr
	284	DO j = nys, nyn
[132]	285	DO k = nzb_s_inner(j,i), nzt+1
[96]	286	sums_l(k,23,tn) = sums_l(k,23,tn) + &
	287	sa(k,j,i) * rmask(j,i,sr)
	288	ENDDO
	289	ENDDO
	290	ENDDO
	291	ENDIF
	292
	293	!
[1]	294	!-- Horizontally averaged profiles of virtual potential temperature,
	295	!-- total water content, specific humidity and liquid water potential
	296	!-- temperature
[75]	297	IF ( humidity ) THEN
[1]	298	!$OMP DO
	299	DO i = nxl, nxr
	300	DO j = nys, nyn
[132]	301	DO k = nzb_s_inner(j,i), nzt+1
[1]	302	sums_l(k,44,tn) = sums_l(k,44,tn) + &
	303	vpt(k,j,i) * rmask(j,i,sr)
	304	sums_l(k,41,tn) = sums_l(k,41,tn) + &
	305	q(k,j,i) * rmask(j,i,sr)
	306	ENDDO
	307	ENDDO
	308	ENDDO
	309	IF ( cloud_physics ) THEN
	310	!$OMP DO
	311	DO i = nxl, nxr
	312	DO j = nys, nyn
[132]	313	DO k = nzb_s_inner(j,i), nzt+1
[1]	314	sums_l(k,42,tn) = sums_l(k,42,tn) + &
	315	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
	316	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
	317	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
	318	) * rmask(j,i,sr)
	319	ENDDO
	320	ENDDO
	321	ENDDO
	322	ENDIF
	323	ENDIF
	324
	325	!
	326	!-- Horizontally averaged profiles of passive scalar
	327	IF ( passive_scalar ) THEN
	328	!$OMP DO
	329	DO i = nxl, nxr
	330	DO j = nys, nyn
[132]	331	DO k = nzb_s_inner(j,i), nzt+1
[1]	332	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
	333	ENDDO
	334	ENDDO
	335	ENDDO
	336	ENDIF
	337	!$OMP END PARALLEL
	338	!
	339	!-- Summation of thread sums
	340	IF ( threads_per_task > 1 ) THEN
	341	DO i = 1, threads_per_task-1
	342	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
	343	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
	344	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
[96]	345	IF ( ocean ) THEN
	346	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
	347	ENDIF
[75]	348	IF ( humidity ) THEN
[1]	349	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	350	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
	351	IF ( cloud_physics ) THEN
	352	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
	353	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
	354	ENDIF
	355	ENDIF
	356	IF ( passive_scalar ) THEN
	357	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	358	ENDIF
	359	ENDDO
	360	ENDIF
	361
	362	#if defined( __parallel )
	363	!
	364	!-- Compute total sum from local sums
[622]	365	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	366	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
	367	MPI_SUM, comm2d, ierr )
[622]	368	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	369	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
	370	MPI_SUM, comm2d, ierr )
[622]	371	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	372	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
	373	MPI_SUM, comm2d, ierr )
[96]	374	IF ( ocean ) THEN
[622]	375	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[96]	376	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
	377	MPI_REAL, MPI_SUM, comm2d, ierr )
	378	ENDIF
[75]	379	IF ( humidity ) THEN
[622]	380	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	381	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
	382	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	383	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	384	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	385	MPI_REAL, MPI_SUM, comm2d, ierr )
	386	IF ( cloud_physics ) THEN
[622]	387	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	388	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
	389	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	390	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	391	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
	392	MPI_REAL, MPI_SUM, comm2d, ierr )
	393	ENDIF
	394	ENDIF
	395
	396	IF ( passive_scalar ) THEN
[622]	397	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	398	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	399	MPI_REAL, MPI_SUM, comm2d, ierr )
	400	ENDIF
	401	#else
	402	sums(:,1) = sums_l(:,1,0)
	403	sums(:,2) = sums_l(:,2,0)
	404	sums(:,4) = sums_l(:,4,0)
[96]	405	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
[75]	406	IF ( humidity ) THEN
[1]	407	sums(:,44) = sums_l(:,44,0)
	408	sums(:,41) = sums_l(:,41,0)
	409	IF ( cloud_physics ) THEN
	410	sums(:,42) = sums_l(:,42,0)
	411	sums(:,43) = sums_l(:,43,0)
	412	ENDIF
	413	ENDIF
	414	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
	415	#endif
	416
	417	!
	418	!-- Final values are obtained by division by the total number of grid points
	419	!-- used for summation. After that store profiles.
[132]	420	sums(:,1) = sums(:,1) / ngp_2dh(sr)
	421	sums(:,2) = sums(:,2) / ngp_2dh(sr)
	422	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
[1]	423	hom(:,1,1,sr) = sums(:,1) ! u
	424	hom(:,1,2,sr) = sums(:,2) ! v
	425	hom(:,1,4,sr) = sums(:,4) ! pt
	426
[667]	427
[1]	428	!
[96]	429	!-- Salinity
	430	IF ( ocean ) THEN
[132]	431	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
[96]	432	hom(:,1,23,sr) = sums(:,23) ! sa
	433	ENDIF
	434
	435	!
[1]	436	!-- Humidity and cloud parameters
[75]	437	IF ( humidity ) THEN
[132]	438	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
	439	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
[1]	440	hom(:,1,44,sr) = sums(:,44) ! vpt
	441	hom(:,1,41,sr) = sums(:,41) ! qv (q)
	442	IF ( cloud_physics ) THEN
[132]	443	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
	444	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
[1]	445	hom(:,1,42,sr) = sums(:,42) ! qv
	446	hom(:,1,43,sr) = sums(:,43) ! pt
	447	ENDIF
	448	ENDIF
	449
	450	!
	451	!-- Passive scalar
[132]	452	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
	453	ngp_2dh_s_inner(:,sr) ! s (q)
[1]	454
	455	!
	456	!-- Horizontally averaged profiles of the remaining prognostic variables,
	457	!-- variances, the total and the perturbation energy (single values in last
	458	!-- column of sums_l) and some diagnostic quantities.
[132]	459	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	460	!-- ---- speaking the following k-loop would have to be split up and
	461	!-- rearranged according to the staggered grid.
[132]	462	!-- However, this implies no error since staggered velocity components
	463	!-- are zero at the walls and inside buildings.
[1]	464	tn = 0
[82]	465	#if defined( __intel_openmp_bug )
[1]	466	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
	467	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
	468	tn = omp_get_thread_num()
	469	#else
	470	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
	471	!$ tn = omp_get_thread_num()
	472	#endif
	473	!$OMP DO
	474	DO i = nxl, nxr
	475	DO j = nys, nyn
	476	sums_l_etot = 0.0
[132]	477	DO k = nzb_s_inner(j,i), nzt+1
[1]	478	!
	479	!-- Prognostic and diagnostic variables
	480	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
	481	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
	482	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
	483	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
	484	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
	485
	486	sums_l(k,33,tn) = sums_l(k,33,tn) + &
	487	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
[624]	488
	489	IF ( humidity ) THEN
	490	sums_l(k,70,tn) = sums_l(k,70,tn) + &
	491	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
	492	ENDIF
[1007]	493
[699]	494	!
	495	!-- Higher moments
	496	!-- (Computation of the skewness of w further below)
	497	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
[667]	498
[1]	499	sums_l_etot = sums_l_etot + &
[667]	500	0.5 * ( u(k,j,i)2 + v(k,j,i)2 + &
	501	w(k,j,i)*2 ) rmask(j,i,sr)
[1]	502	ENDDO
	503	!
	504	!-- Total and perturbation energy for the total domain (being
	505	!-- collected in the last column of sums_l). Summation of these
	506	!-- quantities is seperated from the previous loop in order to
	507	!-- allow vectorization of that loop.
[87]	508	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
[1]	509	!
	510	!-- 2D-arrays (being collected in the last column of sums_l)
[87]	511	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
[1]	512	us(j,i) * rmask(j,i,sr)
[87]	513	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
[1]	514	usws(j,i) * rmask(j,i,sr)
[87]	515	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
[1]	516	vsws(j,i) * rmask(j,i,sr)
[87]	517	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
[1]	518	ts(j,i) * rmask(j,i,sr)
[197]	519	IF ( humidity ) THEN
	520	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
	521	qs(j,i) * rmask(j,i,sr)
	522	ENDIF
[1]	523	ENDDO
	524	ENDDO
	525
	526	!
[667]	527	!-- Computation of statistics when ws-scheme is not used. Else these
	528	!-- quantities are evaluated in the advection routines.
[743]	529	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	530	!$OMP DO
	531	DO i = nxl, nxr
	532	DO j = nys, nyn
	533	sums_l_eper = 0.0
	534	DO k = nzb_s_inner(j,i), nzt+1
	535	u2 = u(k,j,i)**2
	536	v2 = v(k,j,i)**2
	537	w2 = w(k,j,i)**2
	538	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
	539	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
	540
	541	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
	542	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
	543	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
	544	!
	545	!-- Perturbation energy
	546
	547	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * &
	548	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
	549	sums_l_eper = sums_l_eper + &
	550	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
	551
	552	ENDDO
	553	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
	554	+ sums_l_eper
	555	ENDDO
	556	ENDDO
	557	ENDIF
	558	!
[1]	559	!-- Horizontally averaged profiles of the vertical fluxes
[667]	560
[1]	561	!$OMP DO
	562	DO i = nxl, nxr
	563	DO j = nys, nyn
	564	!
	565	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
	566	!-- oterwise from k=nzb+1)
[132]	567	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
[1]	568	!-- ---- strictly speaking the following k-loop would have to be
	569	!-- split up according to the staggered grid.
[132]	570	!-- However, this implies no error since staggered velocity
	571	!-- components are zero at the walls and inside buildings.
	572
	573	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
[1]	574	!
	575	!-- Momentum flux w"u"
	576	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
	577	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
	578	) * ( &
	579	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	580	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	581	) * rmask(j,i,sr)
	582	!
	583	!-- Momentum flux w"v"
	584	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
	585	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
	586	) * ( &
	587	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	588	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	589	) * rmask(j,i,sr)
	590	!
	591	!-- Heat flux w"pt"
	592	sums_l(k,16,tn) = sums_l(k,16,tn) &
	593	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	594	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	595	* ddzu(k+1) * rmask(j,i,sr)
	596
	597
	598	!
[96]	599	!-- Salinity flux w"sa"
	600	IF ( ocean ) THEN
	601	sums_l(k,65,tn) = sums_l(k,65,tn) &
	602	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	603	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	604	* ddzu(k+1) * rmask(j,i,sr)
	605	ENDIF
	606
	607	!
[1]	608	!-- Buoyancy flux, water flux (humidity flux) w"q"
[75]	609	IF ( humidity ) THEN
[1]	610	sums_l(k,45,tn) = sums_l(k,45,tn) &
	611	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	612	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	613	* ddzu(k+1) * rmask(j,i,sr)
	614	sums_l(k,48,tn) = sums_l(k,48,tn) &
	615	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	616	* ( q(k+1,j,i) - q(k,j,i) ) &
	617	* ddzu(k+1) * rmask(j,i,sr)
[1007]	618
[1]	619	IF ( cloud_physics ) THEN
	620	sums_l(k,51,tn) = sums_l(k,51,tn) &
	621	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	622	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
	623	- ( q(k,j,i) - ql(k,j,i) ) ) &
	624	* ddzu(k+1) * rmask(j,i,sr)
	625	ENDIF
	626	ENDIF
	627
	628	!
	629	!-- Passive scalar flux
	630	IF ( passive_scalar ) THEN
	631	sums_l(k,48,tn) = sums_l(k,48,tn) &
	632	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	633	* ( q(k+1,j,i) - q(k,j,i) ) &
	634	* ddzu(k+1) * rmask(j,i,sr)
	635	ENDIF
	636
	637	ENDDO
	638
	639	!
	640	!-- Subgridscale fluxes in the Prandtl layer
	641	IF ( use_surface_fluxes ) THEN
	642	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
	643	usws(j,i) * rmask(j,i,sr) ! w"u"
	644	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
	645	vsws(j,i) * rmask(j,i,sr) ! w"v"
	646	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
	647	shf(j,i) * rmask(j,i,sr) ! w"pt"
	648	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
	649	0.0 * rmask(j,i,sr) ! u"pt"
	650	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
	651	0.0 * rmask(j,i,sr) ! v"pt"
[96]	652	IF ( ocean ) THEN
	653	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
	654	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	655	ENDIF
[75]	656	IF ( humidity ) THEN
[1]	657	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	658	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	659	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	660	( 1.0 + 0.61 * q(nzb,j,i) ) * &
	661	shf(j,i) + 0.61 * pt(nzb,j,i) * &
	662	qsws(j,i) )
	663	IF ( cloud_droplets ) THEN
	664	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	665	( 1.0 + 0.61 * q(nzb,j,i) - &
	666	ql(nzb,j,i) ) * shf(j,i) + &
	667	0.61 * pt(nzb,j,i) * qsws(j,i) )
	668	ENDIF
[1]	669	IF ( cloud_physics ) THEN
	670	!
	671	!-- Formula does not work if ql(nzb) /= 0.0
	672	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
	673	qsws(j,i) * rmask(j,i,sr)
	674	ENDIF
	675	ENDIF
	676	IF ( passive_scalar ) THEN
	677	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	678	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	679	ENDIF
	680	ENDIF
	681
	682	!
[19]	683	!-- Subgridscale fluxes at the top surface
	684	IF ( use_top_fluxes ) THEN
[550]	685	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
[102]	686	uswst(j,i) * rmask(j,i,sr) ! w"u"
[550]	687	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
[102]	688	vswst(j,i) * rmask(j,i,sr) ! w"v"
[550]	689	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
[19]	690	tswst(j,i) * rmask(j,i,sr) ! w"pt"
[550]	691	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
[19]	692	0.0 * rmask(j,i,sr) ! u"pt"
[550]	693	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
	694	0.0 * rmask(j,i,sr) ! v"pt"
	695
[96]	696	IF ( ocean ) THEN
	697	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
	698	saswst(j,i) * rmask(j,i,sr) ! w"sa"
	699	ENDIF
[75]	700	IF ( humidity ) THEN
[19]	701	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	702	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	703	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	704	( 1.0 + 0.61 * q(nzt,j,i) ) * &
	705	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
	706	qswst(j,i) )
	707	IF ( cloud_droplets ) THEN
	708	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	709	( 1.0 + 0.61 * q(nzt,j,i) - &
	710	ql(nzt,j,i) ) * tswst(j,i) + &
	711	0.61 * pt(nzt,j,i) * qswst(j,i) )
	712	ENDIF
[19]	713	IF ( cloud_physics ) THEN
	714	!
	715	!-- Formula does not work if ql(nzb) /= 0.0
	716	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
	717	qswst(j,i) * rmask(j,i,sr)
	718	ENDIF
	719	ENDIF
	720	IF ( passive_scalar ) THEN
	721	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	722	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[19]	723	ENDIF
	724	ENDIF
	725
	726	!
[1]	727	!-- Resolved fluxes (can be computed for all horizontal points)
[132]	728	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	729	!-- ---- speaking the following k-loop would have to be split up and
	730	!-- rearranged according to the staggered grid.
[132]	731	DO k = nzb_s_inner(j,i), nzt
[1]	732	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	733	u(k+1,j,i) - hom(k+1,1,1,sr) )
	734	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	735	v(k+1,j,i) - hom(k+1,1,2,sr) )
	736	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	737	pt(k+1,j,i) - hom(k+1,1,4,sr) )
[667]	738
[1]	739	!-- Higher moments
	740	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
	741	rmask(j,i,sr)
	742	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
	743	rmask(j,i,sr)
	744
	745	!
[96]	746	!-- Salinity flux and density (density does not belong to here,
[97]	747	!-- but so far there is no other suitable place to calculate)
[96]	748	IF ( ocean ) THEN
[743]	749	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	750	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
[96]	751	sa(k+1,j,i) - hom(k+1,1,23,sr) )
[667]	752	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
[96]	753	rmask(j,i,sr)
[667]	754	ENDIF
[96]	755	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
	756	rmask(j,i,sr)
[388]	757	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
	758	rmask(j,i,sr)
[96]	759	ENDIF
	760
	761	!
[1053]	762	!-- Buoyancy flux, water flux, humidity flux, liquid water
	763	!-- content, rain drop concentration and rain water content
[75]	764	IF ( humidity ) THEN
[1007]	765	IF ( cloud_physics .OR. cloud_droplets ) THEN
[1053]	766	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
[1007]	767	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	768	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
[1]	769	rmask(j,i,sr)
[1053]	770	IF ( .NOT. cloud_droplets ) THEN
[1115]	771	pts = 0.5 * &
	772	( ( q(k,j,i) - ql(k,j,i) ) - &
	773	hom(k,1,42,sr) + &
	774	( q(k+1,j,i) - ql(k+1,j,i) ) - &
[1053]	775	hom(k+1,1,42,sr) )
[1115]	776	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
[1053]	777	rmask(j,i,sr)
	778	IF ( icloud_scheme == 0 ) THEN
[1115]	779	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
[1053]	780	rmask(j,i,sr)
[1115]	781	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
[1053]	782	rmask(j,i,sr)
[1115]	783	IF ( precipitation ) THEN
	784	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
	785	rmask(j,i,sr)
	786	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
	787	rmask(j,i,sr)
	788	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) *&
	789	rmask(j,i,sr)
	790	ENDIF
[1053]	791	ELSE
[1115]	792	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
[1053]	793	rmask(j,i,sr)
	794	ENDIF
	795	ELSE
[1115]	796	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
[1053]	797	rmask(j,i,sr)
	798	ENDIF
[1007]	799	ELSE
	800	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	801	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	802	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	803	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
	804	rmask(j,i,sr)
	805	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
[1053]	806	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * &
[1007]	807	sums_l(k,17,tn) + &
	808	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
	809	END IF
	810	END IF
[1]	811	ENDIF
	812	!
	813	!-- Passive scalar flux
[743]	814	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
	815	.OR. sr /= 0 ) ) THEN
[1]	816	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	817	q(k+1,j,i) - hom(k+1,1,41,sr) )
	818	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	819	rmask(j,i,sr)
	820	ENDIF
	821
	822	!
	823	!-- Energy flux we
[667]	824	!-- has to be adjusted
	825	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
	826	( ust2 + vst2 + w(k,j,i)**2 )&
	827	* rmask(j,i,sr)
[1]	828	ENDDO
	829	ENDDO
	830	ENDDO
[709]	831	!
	832	!-- For speed optimization fluxes which have been computed in part directly
	833	!-- inside the WS advection routines are treated seperatly
	834	!-- Momentum fluxes first:
[743]	835	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	836	!$OMP DO
	837	DO i = nxl, nxr
	838	DO j = nys, nyn
	839	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	840	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	841	u(k+1,j,i) - hom(k+1,1,1,sr) )
	842	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	843	v(k+1,j,i) - hom(k+1,1,2,sr) )
[1007]	844	!
[667]	845	!-- Momentum flux wu
	846	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
	847	( w(k,j,i-1) + w(k,j,i) ) &
	848	* ust * rmask(j,i,sr)
	849	!
	850	!-- Momentum flux wv
	851	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
	852	( w(k,j-1,i) + w(k,j,i) ) &
	853	* vst * rmask(j,i,sr)
	854	ENDDO
	855	ENDDO
	856	ENDDO
[1]	857
[667]	858	ENDIF
[743]	859	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	860	!$OMP DO
	861	DO i = nxl, nxr
	862	DO j = nys, nyn
[709]	863	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	864	!
	865	!-- Vertical heat flux
[667]	866	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
	867	( pt(k,j,i) - hom(k,1,4,sr) + &
	868	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
	869	* w(k,j,i) * rmask(j,i,sr)
	870	IF ( humidity ) THEN
	871	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	872	q(k+1,j,i) - hom(k+1,1,41,sr) )
	873	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	874	rmask(j,i,sr)
	875	ENDIF
	876	ENDDO
	877	ENDDO
	878	ENDDO
	879
	880	ENDIF
	881
	882
[1]	883	!
[97]	884	!-- Density at top follows Neumann condition
[388]	885	IF ( ocean ) THEN
	886	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	887	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
	888	ENDIF
[97]	889
	890	!
[1]	891	!-- Divergence of vertical flux of resolved scale energy and pressure
[106]	892	!-- fluctuations as well as flux of pressure fluctuation itself (68).
	893	!-- First calculate the products, then the divergence.
[1]	894	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
[106]	895	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
[1]	896
	897	sums_ll = 0.0 ! local array
	898
	899	!$OMP DO
	900	DO i = nxl, nxr
	901	DO j = nys, nyn
[132]	902	DO k = nzb_s_inner(j,i)+1, nzt
[1]	903
	904	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	905	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
[678]	906	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
[1]	907	) )**2 &
	908	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
[678]	909	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
[1]	910	) )**2 &
	911	+ w(k,j,i)**2 )
	912
	913	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	914	* ( p(k,j,i) + p(k+1,j,i) )
	915
	916	ENDDO
	917	ENDDO
	918	ENDDO
	919	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	920	sums_ll(nzt+1,1) = 0.0
	921	sums_ll(0,2) = 0.0
	922	sums_ll(nzt+1,2) = 0.0
	923
[678]	924	DO k = nzb+1, nzt
[1]	925	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	926	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
[106]	927	sums_l(k,68,tn) = sums_ll(k,2)
[1]	928	ENDDO
	929	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	930	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
[106]	931	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
[1]	932
	933	ENDIF
	934
	935	!
[106]	936	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
	937	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
[1]	938
	939	!$OMP DO
	940	DO i = nxl, nxr
	941	DO j = nys, nyn
[132]	942	DO k = nzb_s_inner(j,i)+1, nzt
[1]	943
[106]	944	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
[1]	945	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	946	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
[106]	947	) * ddzw(k)
[1]	948
[106]	949	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
	950	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	951	)
	952
[1]	953	ENDDO
	954	ENDDO
	955	ENDDO
	956	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
[106]	957	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
[1]	958
	959	ENDIF
	960
	961	!
	962	!-- Horizontal heat fluxes (subgrid, resolved, total).
	963	!-- Do it only, if profiles shall be plotted.
	964	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	965
	966	!$OMP DO
	967	DO i = nxl, nxr
	968	DO j = nys, nyn
[132]	969	DO k = nzb_s_inner(j,i)+1, nzt
[1]	970	!
	971	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	972	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	973	( kh(k,j,i) + kh(k,j,i-1) ) &
	974	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	975	* ddx * rmask(j,i,sr)
	976	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	977	( kh(k,j,i) + kh(k,j-1,i) ) &
	978	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	979	* ddy * rmask(j,i,sr)
	980	!
	981	!-- Resolved horizontal heat fluxes upt, vpt
	982	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	983	( u(k,j,i) - hom(k,1,1,sr) ) &
	984	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	985	pt(k,j,i) - hom(k,1,4,sr) )
	986	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	987	pt(k,j,i) - hom(k,1,4,sr) )
	988	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	989	( v(k,j,i) - hom(k,1,2,sr) ) &
	990	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	991	pt(k,j,i) - hom(k,1,4,sr) )
	992	ENDDO
	993	ENDDO
	994	ENDDO
	995	!
	996	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
[97]	997	sums_l(nzb,58,tn) = 0.0
	998	sums_l(nzb,59,tn) = 0.0
	999	sums_l(nzb,60,tn) = 0.0
	1000	sums_l(nzb,61,tn) = 0.0
	1001	sums_l(nzb,62,tn) = 0.0
	1002	sums_l(nzb,63,tn) = 0.0
[1]	1003
	1004	ENDIF
[87]	1005
	1006	!
	1007	!-- Calculate the user-defined profiles
	1008	CALL user_statistics( 'profiles', sr, tn )
[1]	1009	!$OMP END PARALLEL
	1010
	1011	!
	1012	!-- Summation of thread sums
	1013	IF ( threads_per_task > 1 ) THEN
	1014	DO i = 1, threads_per_task-1
	1015	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	1016	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
[87]	1017	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	1018	sums_l(:,45:pr_palm,i)
	1019	IF ( max_pr_user > 0 ) THEN
	1020	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	1021	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	1022	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	1023	ENDIF
[1]	1024	ENDDO
	1025	ENDIF
	1026
	1027	#if defined( __parallel )
[667]	1028
[1]	1029	!
	1030	!-- Compute total sum from local sums
[622]	1031	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	1032	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	1033	MPI_SUM, comm2d, ierr )
	1034	#else
	1035	sums = sums_l(:,:,0)
	1036	#endif
	1037
	1038	!
	1039	!-- Final values are obtained by division by the total number of grid points
	1040	!-- used for summation. After that store profiles.
	1041	!-- Profiles:
	1042	DO k = nzb, nzt+1
[132]	1043	sums(k,3) = sums(k,3) / ngp_2dh(sr)
[142]	1044	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
[132]	1045	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
	1046	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
	1047	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
[142]	1048	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
	1049	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
[132]	1050	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
	1051	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
	1052	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
	1053	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
	1054	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
	1055	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
	1056	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
[1]	1057	ENDDO
[667]	1058
[1]	1059	!-- Upstream-parts
[87]	1060	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
[1]	1061	!-- u* and so on
[87]	1062	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
[1]	1063	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	1064	!-- above the topography, they are being divided by ngp_2dh(sr)
[87]	1065	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
[1]	1066	ngp_2dh(sr)
[197]	1067	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
	1068	ngp_2dh(sr)
[1]	1069	!-- eges, e*
[87]	1070	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
[132]	1071	ngp_3d(sr)
[1]	1072	!-- Old and new divergence
[87]	1073	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
[1]	1074	ngp_3d_inner(sr)
	1075
[87]	1076	!-- User-defined profiles
	1077	IF ( max_pr_user > 0 ) THEN
	1078	DO k = nzb, nzt+1
	1079	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	1080	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
[132]	1081	ngp_2dh_s_inner(k,sr)
[87]	1082	ENDDO
	1083	ENDIF
[1007]	1084
[1]	1085	!
	1086	!-- Collect horizontal average in hom.
	1087	!-- Compute deduced averages (e.g. total heat flux)
	1088	hom(:,1,3,sr) = sums(:,3) ! w
	1089	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	1090	hom(:,1,9,sr) = sums(:,9) ! km
	1091	hom(:,1,10,sr) = sums(:,10) ! kh
	1092	hom(:,1,11,sr) = sums(:,11) ! l
	1093	hom(:,1,12,sr) = sums(:,12) ! w"u"
	1094	hom(:,1,13,sr) = sums(:,13) ! wu
	1095	hom(:,1,14,sr) = sums(:,14) ! w"v"
	1096	hom(:,1,15,sr) = sums(:,15) ! wv
	1097	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	1098	hom(:,1,17,sr) = sums(:,17) ! wpt
	1099	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	1100	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	1101	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	1102	hom(:,1,21,sr) = sums(:,21) ! wptBC
	1103	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
[96]	1104	! profile 24 is initial profile (sa)
	1105	! profiles 25-29 left empty for initial
[1]	1106	! profiles
	1107	hom(:,1,30,sr) = sums(:,30) ! u*2
	1108	hom(:,1,31,sr) = sums(:,31) ! v*2
	1109	hom(:,1,32,sr) = sums(:,32) ! w*2
	1110	hom(:,1,33,sr) = sums(:,33) ! pt*2
	1111	hom(:,1,34,sr) = sums(:,34) ! e*
	1112	hom(:,1,35,sr) = sums(:,35) ! w2pt
	1113	hom(:,1,36,sr) = sums(:,36) ! wpt2
	1114	hom(:,1,37,sr) = sums(:,37) ! we
	1115	hom(:,1,38,sr) = sums(:,38) ! w*3
[699]	1116	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
[1]	1117	hom(:,1,40,sr) = sums(:,40) ! p
[531]	1118	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
[1]	1119	hom(:,1,46,sr) = sums(:,46) ! wvpt
	1120	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	1121	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	1122	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	1123	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	1124	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	1125	hom(:,1,52,sr) = sums(:,52) ! wqv
	1126	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	1127	hom(:,1,54,sr) = sums(:,54) ! ql
	1128	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	1129	hom(:,1,56,sr) = sums(:,56) ! wp/dz
[106]	1130	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
[1]	1131	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	1132	hom(:,1,59,sr) = sums(:,59) ! upt
	1133	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	1134	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	1135	hom(:,1,62,sr) = sums(:,62) ! vpt
	1136	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
[96]	1137	hom(:,1,64,sr) = sums(:,64) ! rho
	1138	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	1139	hom(:,1,66,sr) = sums(:,66) ! wsa
	1140	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
[106]	1141	hom(:,1,68,sr) = sums(:,68) ! wp
	1142	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
[197]	1143	hom(:,1,70,sr) = sums(:,70) ! q*2
[388]	1144	hom(:,1,71,sr) = sums(:,71) ! prho
[531]	1145	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
[1053]	1146	hom(:,1,73,sr) = sums(:,73) ! nr
	1147	hom(:,1,74,sr) = sums(:,74) ! qr
	1148	hom(:,1,75,sr) = sums(:,75) ! qc
	1149	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
[1]	1150
[87]	1151	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
[1]	1152	! upstream-parts u_x, u_y, u_z, v_x,
	1153	! v_y, usw. (in last but one profile)
[667]	1154	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
[1]	1155	! u, w'u', w'v', t (in last profile)
	1156
[87]	1157	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	1158	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	1159	sums(:,pr_palm+1:pr_palm+max_pr_user)
	1160	ENDIF
	1161
[1]	1162	!
	1163	!-- Determine the boundary layer height using two different schemes.
[94]	1164	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	1165	!-- first relative minimum (maximum) of the total heat flux.
	1166	!-- The corresponding height is assumed as the boundary layer height, if it
	1167	!-- is less than 1.5 times the height where the heat flux becomes negative
	1168	!-- (positive) for the first time.
[1]	1169	z_i(1) = 0.0
	1170	first = .TRUE.
[667]	1171
[97]	1172	IF ( ocean ) THEN
	1173	DO k = nzt, nzb+1, -1
[667]	1174	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1175	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
[97]	1176	first = .FALSE.
	1177	height = zw(k)
	1178	ENDIF
	1179	IF ( hom(k,1,18,sr) < 0.0 .AND. &
[667]	1180	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[97]	1181	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1182	IF ( zw(k) < 1.5 * height ) THEN
	1183	z_i(1) = zw(k)
	1184	ELSE
	1185	z_i(1) = height
	1186	ENDIF
	1187	EXIT
	1188	ENDIF
	1189	ENDDO
	1190	ELSE
[94]	1191	DO k = nzb, nzt-1
[667]	1192	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1193	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
[94]	1194	first = .FALSE.
	1195	height = zw(k)
[1]	1196	ENDIF
[667]	1197	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	1198	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[94]	1199	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1200	IF ( zw(k) < 1.5 * height ) THEN
	1201	z_i(1) = zw(k)
	1202	ELSE
	1203	z_i(1) = height
	1204	ENDIF
	1205	EXIT
	1206	ENDIF
	1207	ENDDO
[97]	1208	ENDIF
[1]	1209
	1210	!
[291]	1211	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
	1212	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
	1213	!-- maximal local temperature gradient: starting from the second (the last
	1214	!-- but one) vertical gridpoint, the local gradient must be at least
	1215	!-- 0.2K/100m and greater than the next four gradients.
	1216	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
	1217	!-- ocean case!
[1]	1218	z_i(2) = 0.0
[291]	1219	DO k = nzb+1, nzt+1
	1220	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
	1221	ENDDO
	1222	dptdz_threshold = 0.2 / 100.0
	1223
[97]	1224	IF ( ocean ) THEN
[291]	1225	DO k = nzt+1, nzb+5, -1
	1226	IF ( dptdz(k) > dptdz_threshold .AND. &
	1227	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
	1228	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
	1229	z_i(2) = zw(k-1)
[97]	1230	EXIT
	1231	ENDIF
	1232	ENDDO
	1233	ELSE
[291]	1234	DO k = nzb+1, nzt-3
	1235	IF ( dptdz(k) > dptdz_threshold .AND. &
	1236	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
	1237	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
	1238	z_i(2) = zw(k-1)
[97]	1239	EXIT
	1240	ENDIF
	1241	ENDDO
	1242	ENDIF
[1]	1243
[87]	1244	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	1245	hom(nzb+7,1,pr_palm,sr) = z_i(2)
[1]	1246
	1247	!
	1248	!-- Computation of both the characteristic vertical velocity and
	1249	!-- the characteristic convective boundary layer temperature.
	1250	!-- The horizontal average at nzb+1 is input for the average temperature.
[667]	1251	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
	1252	.AND. z_i(1) /= 0.0 ) THEN
[87]	1253	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
[94]	1254	hom(nzb,1,18,sr) * &
	1255	ABS( z_i(1) ) )**0.333333333
[1]	1256	!-- so far this only works if Prandtl layer is used
[87]	1257	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
[1]	1258	ELSE
[87]	1259	hom(nzb+8,1,pr_palm,sr) = 0.0
	1260	hom(nzb+11,1,pr_palm,sr) = 0.0
[1]	1261	ENDIF
	1262
[48]	1263	!
	1264	!-- Collect the time series quantities
[87]	1265	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	1266	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
[48]	1267	ts_value(3,sr) = dt_3d
[87]	1268	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	1269	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
[48]	1270	ts_value(6,sr) = u_max
	1271	ts_value(7,sr) = v_max
	1272	ts_value(8,sr) = w_max
[87]	1273	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	1274	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	1275	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	1276	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	1277	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
[48]	1278	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	1279	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	1280	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	1281	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	1282	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
[197]	1283	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
	1284	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
[343]	1285	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
[197]	1286
[48]	1287	IF ( ts_value(5,sr) /= 0.0 ) THEN
	1288	ts_value(22,sr) = ts_value(4,sr)**2 / &
	1289	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	1290	ELSE
	1291	ts_value(22,sr) = 10000.0
	1292	ENDIF
[1]	1293
[343]	1294	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
[1]	1295	!
[48]	1296	!-- Calculate additional statistics provided by the user interface
[87]	1297	CALL user_statistics( 'time_series', sr, 0 )
[1]	1298
[48]	1299	ENDDO ! loop of the subregions
	1300
[1]	1301	!
	1302	!-- If required, sum up horizontal averages for subsequent time averaging
	1303	IF ( do_sum ) THEN
	1304	IF ( average_count_pr == 0 ) hom_sum = 0.0
	1305	hom_sum = hom_sum + hom(:,1,:,:)
	1306	average_count_pr = average_count_pr + 1
	1307	do_sum = .FALSE.
	1308	ENDIF
	1309
	1310	!
	1311	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	1312	!-- This flag is reset after each time step in time_integration.
	1313	flow_statistics_called = .TRUE.
	1314
	1315	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	1316
	1317
	1318	END SUBROUTINE flow_statistics

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