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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1196

Last change on this file since 1196 was 1182, checked in by raasch, 11 years ago
last commit documented, rc-file for example run updated
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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	!
[1182]	23	!
[1008]	24	! Former revisions:
	25	! -----------------
	26	! $Id: flow_statistics.f90 1182 2013-06-14 09:07:24Z heinze $
	27	!
[1182]	28	! 1179 2013-06-14 05:57:58Z raasch
	29	! comment for profile 77 added
	30	!
[1116]	31	! 1115 2013-03-26 18:16:16Z hoffmann
	32	! ql is calculated by calc_liquid_water_content
	33	!
[1112]	34	! 1111 2013-03-08 23:54:10Z raasch
	35	! openACC directive added
	36	!
[1054]	37	! 1053 2012-11-13 17:11:03Z hoffmann
[1112]	38	! additions for two-moment cloud physics scheme:
[1054]	39	! +nr, qr, qc, prr
	40	!
[1037]	41	! 1036 2012-10-22 13:43:42Z raasch
	42	! code put under GPL (PALM 3.9)
	43	!
[1008]	44	! 1007 2012-09-19 14:30:36Z franke
[1007]	45	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
	46	! turbulent fluxes of WS-scheme
	47	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
	48	! droplets at nzb and nzt added
[700]	49	!
[802]	50	! 801 2012-01-10 17:30:36Z suehring
	51	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
	52	!
[744]	53	! 743 2011-08-18 16:10:16Z suehring
	54	! Calculation of turbulent fluxes with WS-scheme only for the whole model
	55	! domain, not for user-defined subregions.
	56	!
[710]	57	! 709 2011-03-30 09:31:40Z raasch
	58	! formatting adjustments
	59	!
[700]	60	! 699 2011-03-22 17:52:22Z suehring
[699]	61	! Bugfix in calculation of vertical velocity skewness. The added absolute value
	62	! avoid negative values in the root. Negative values of w'w' can occur at the
	63	! top or bottom of the model domain due to degrading the order of advection
	64	! scheme. Furthermore the calculation will be the same for all advection
	65	! schemes.
[392]	66	!
[697]	67	! 696 2011-03-18 07:03:49Z raasch
	68	! Bugfix: Summation of Wicker-Skamarock scheme fluxes and variances for all
	69	! threads
	70	!
[679]	71	! 678 2011-02-02 14:31:56Z raasch
	72	! Bugfix in calculation of the divergence of vertical flux of resolved scale
	73	! energy, pressure fluctuations, and flux of pressure fluctuation itself
	74	!
[674]	75	! 673 2011-01-18 16:19:48Z suehring
	76	! Top bc for the horizontal velocity variances added for ocean runs.
	77	! Setting the corresponding bottom bc moved to advec_ws.
	78	!
[668]	79	! 667 2010-12-23 12:06:00Z suehring/gryschka
	80	! When advection is computed with ws-scheme, turbulent fluxes are already
	81	! computed in the respective advection routines and buffered in arrays
	82	! sums_xx_ws_l(). This is due to a consistent treatment of statistics with the
	83	! numerics and to avoid unphysical kinks near the surface.
	84	! So some if requests has to be done to dicern between fluxes from ws-scheme
	85	! other advection schemes.
	86	! Furthermore the computation of z_i is only done if the heat flux exceeds a
	87	! minimum value. This affects only simulations of a neutral boundary layer and
	88	! is due to reasons of computations in the advection scheme.
	89	!
[625]	90	! 624 2010-12-10 11:46:30Z heinze
	91	! Calculation of q*2 added
	92	!
[623]	93	! 622 2010-12-10 08:08:13Z raasch
	94	! optional barriers included in order to speed up collective operations
	95	!
[392]	96	! 388 2009-09-23 09:40:33Z raasch
[388]	97	! Vertical profiles of potential density and hydrostatic pressure are
	98	! calculated.
[343]	99	! Added missing timeseries calculation of w"q"(0), moved timeseries q* to the
	100	! end.
[291]	101	! Temperature gradient criterion for estimating the boundary layer height
	102	! replaced by the gradient criterion of Sullivan et al. (1998).
[254]	103	! Output of messages replaced by message handling routine.
[1]	104	!
[198]	105	! 197 2008-09-16 15:29:03Z raasch
	106	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
	107	! added,
	108	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
	109	! (like other scalars)
	110	!
[139]	111	! 133 2007-11-20 10:10:53Z letzel
	112	! Vertical profiles now based on nzb_s_inner; they are divided by
	113	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
	114	! velocity components and their products, procucts of scalars and velocity
	115	! components), respectively.
	116	!
[110]	117	! 106 2007-08-16 14:30:26Z raasch
	118	! Prescribed momentum fluxes at the top surface are used,
	119	! profiles for wp and w"e are calculated
	120	!
[98]	121	! 97 2007-06-21 08:23:15Z raasch
	122	! Statistics for ocean version (salinity, density) added,
	123	! calculation of z_i and Deardorff velocity scale adjusted to be used with
	124	! the ocean version
	125	!
[90]	126	! 87 2007-05-22 15:46:47Z raasch
	127	! Two more arguments added to user_statistics, which is now also called for
	128	! user-defined profiles,
	129	! var_hom and var_sum renamed pr_palm
	130	!
[83]	131	! 82 2007-04-16 15:40:52Z raasch
	132	! Cpp-directive lcmuk changed to intel_openmp_bug
	133	!
[77]	134	! 75 2007-03-22 09:54:05Z raasch
	135	! Collection of time series quantities moved from routine flow_statistics to
	136	! here, routine user_statistics is called for each statistic region,
	137	! moisture renamed humidity
	138	!
[39]	139	! 19 2007-02-23 04:53:48Z raasch
[77]	140	! fluxes at top modified (tswst, qswst)
[39]	141	!
[3]	142	! RCS Log replace by Id keyword, revision history cleaned up
	143	!
[1]	144	! Revision 1.41 2006/08/04 14:37:50 raasch
	145	! Error removed in non-parallel part (sums_l)
	146	!
	147	! Revision 1.1 1997/08/11 06:15:17 raasch
	148	! Initial revision
	149	!
	150	!
	151	! Description:
	152	! ------------
	153	! Compute average profiles and further average flow quantities for the different
	154	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
	155	!
[132]	156	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
	157	! ---- lower vertical index for k-loops for all variables, although strictly
	158	! speaking the k-loops would have to be split up according to the staggered
	159	! grid. However, this implies no error since staggered velocity components are
	160	! zero at the walls and inside buildings.
[1]	161	!------------------------------------------------------------------------------!
	162
	163	USE arrays_3d
	164	USE cloud_parameters
[709]	165	USE control_parameters
[1]	166	USE cpulog
	167	USE grid_variables
	168	USE indices
	169	USE interfaces
	170	USE pegrid
	171	USE statistics
	172
	173	IMPLICIT NONE
	174
	175	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
	176	LOGICAL :: first
[291]	177	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
	178	ust2, u2, vst, vst2, v2, w2, z_i(2)
	179	REAL :: dptdz(nzb+1:nzt+1)
[1]	180	REAL :: sums_ll(nzb:nzt+1,2)
	181
	182	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
	183
	184	!
	185	!-- To be on the safe side, check whether flow_statistics has already been
	186	!-- called once after the current time step
	187	IF ( flow_statistics_called ) THEN
[254]	188
[274]	189	message_string = 'flow_statistics is called two times within one ' // &
	190	'timestep'
[254]	191	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
[1007]	192
[1]	193	ENDIF
	194
[1111]	195	!$acc update host( km, kh, e, pt, qs, qsws, rif, shf, ts, u, v, w )
	196
[1]	197	!
	198	!-- Compute statistics for each (sub-)region
	199	DO sr = 0, statistic_regions
	200
	201	!
	202	!-- Initialize (local) summation array
	203	sums_l = 0.0
	204
	205	!
	206	!-- Store sums that have been computed in other subroutines in summation
	207	!-- array
	208	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
	209	!-- WARNING: next line still has to be adjusted for OpenMP
	210	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
[87]	211	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
	212	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
[1]	213
[667]	214	!
	215	!-- Copy the turbulent quantities, evaluated in the advection routines to
	216	!-- the local array sums_l() for further computations
[743]	217	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
[696]	218
[1007]	219	!
[673]	220	!-- According to the Neumann bc for the horizontal velocity components,
	221	!-- the corresponding fluxes has to satisfiy the same bc.
	222	IF ( ocean ) THEN
[801]	223	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
[1007]	224	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
[673]	225	ENDIF
[696]	226
	227	DO i = 0, threads_per_task-1
[1007]	228	!
[696]	229	!-- Swap the turbulent quantities evaluated in advec_ws.
[801]	230	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
	231	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
	232	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
	233	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
	234	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
[696]	235	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
[801]	236	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
	237	sums_ws2_ws_l(:,i) ) ! e*
[696]	238	DO k = nzb, nzt
[801]	239	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
	240	sums_us2_ws_l(k,i) + &
	241	sums_vs2_ws_l(k,i) + &
	242	sums_ws2_ws_l(k,i) )
[696]	243	ENDDO
[667]	244	ENDDO
[696]	245
[667]	246	ENDIF
[696]	247
[743]	248	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
[696]	249
	250	DO i = 0, threads_per_task-1
[801]	251	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
	252	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
[696]	253	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
[801]	254	sums_wsqs_ws_l(:,i) !wq
[696]	255	ENDDO
	256
[667]	257	ENDIF
[305]	258	!
[1]	259	!-- Horizontally averaged profiles of horizontal velocities and temperature.
	260	!-- They must have been computed before, because they are already required
	261	!-- for other horizontal averages.
	262	tn = 0
[667]	263
[1]	264	!$OMP PARALLEL PRIVATE( i, j, k, tn )
[82]	265	#if defined( __intel_openmp_bug )
[1]	266	tn = omp_get_thread_num()
	267	#else
	268	!$ tn = omp_get_thread_num()
	269	#endif
	270
	271	!$OMP DO
	272	DO i = nxl, nxr
	273	DO j = nys, nyn
[132]	274	DO k = nzb_s_inner(j,i), nzt+1
[1]	275	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
	276	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
	277	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
	278	ENDDO
	279	ENDDO
	280	ENDDO
	281
	282	!
[96]	283	!-- Horizontally averaged profile of salinity
	284	IF ( ocean ) THEN
	285	!$OMP DO
	286	DO i = nxl, nxr
	287	DO j = nys, nyn
[132]	288	DO k = nzb_s_inner(j,i), nzt+1
[96]	289	sums_l(k,23,tn) = sums_l(k,23,tn) + &
	290	sa(k,j,i) * rmask(j,i,sr)
	291	ENDDO
	292	ENDDO
	293	ENDDO
	294	ENDIF
	295
	296	!
[1]	297	!-- Horizontally averaged profiles of virtual potential temperature,
	298	!-- total water content, specific humidity and liquid water potential
	299	!-- temperature
[75]	300	IF ( humidity ) THEN
[1]	301	!$OMP DO
	302	DO i = nxl, nxr
	303	DO j = nys, nyn
[132]	304	DO k = nzb_s_inner(j,i), nzt+1
[1]	305	sums_l(k,44,tn) = sums_l(k,44,tn) + &
	306	vpt(k,j,i) * rmask(j,i,sr)
	307	sums_l(k,41,tn) = sums_l(k,41,tn) + &
	308	q(k,j,i) * rmask(j,i,sr)
	309	ENDDO
	310	ENDDO
	311	ENDDO
	312	IF ( cloud_physics ) THEN
	313	!$OMP DO
	314	DO i = nxl, nxr
	315	DO j = nys, nyn
[132]	316	DO k = nzb_s_inner(j,i), nzt+1
[1]	317	sums_l(k,42,tn) = sums_l(k,42,tn) + &
	318	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
	319	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
	320	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
	321	) * rmask(j,i,sr)
	322	ENDDO
	323	ENDDO
	324	ENDDO
	325	ENDIF
	326	ENDIF
	327
	328	!
	329	!-- Horizontally averaged profiles of passive scalar
	330	IF ( passive_scalar ) THEN
	331	!$OMP DO
	332	DO i = nxl, nxr
	333	DO j = nys, nyn
[132]	334	DO k = nzb_s_inner(j,i), nzt+1
[1]	335	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
	336	ENDDO
	337	ENDDO
	338	ENDDO
	339	ENDIF
	340	!$OMP END PARALLEL
	341	!
	342	!-- Summation of thread sums
	343	IF ( threads_per_task > 1 ) THEN
	344	DO i = 1, threads_per_task-1
	345	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
	346	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
	347	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
[96]	348	IF ( ocean ) THEN
	349	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
	350	ENDIF
[75]	351	IF ( humidity ) THEN
[1]	352	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	353	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
	354	IF ( cloud_physics ) THEN
	355	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
	356	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
	357	ENDIF
	358	ENDIF
	359	IF ( passive_scalar ) THEN
	360	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	361	ENDIF
	362	ENDDO
	363	ENDIF
	364
	365	#if defined( __parallel )
	366	!
	367	!-- Compute total sum from local sums
[622]	368	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	369	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), 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,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
	373	MPI_SUM, comm2d, ierr )
[622]	374	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	375	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
	376	MPI_SUM, comm2d, ierr )
[96]	377	IF ( ocean ) THEN
[622]	378	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[96]	379	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
	380	MPI_REAL, MPI_SUM, comm2d, ierr )
	381	ENDIF
[75]	382	IF ( humidity ) THEN
[622]	383	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	384	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
	385	MPI_REAL, MPI_SUM, comm2d, ierr )
[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	IF ( cloud_physics ) THEN
[622]	390	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	391	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
	392	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	393	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	394	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
	395	MPI_REAL, MPI_SUM, comm2d, ierr )
	396	ENDIF
	397	ENDIF
	398
	399	IF ( passive_scalar ) THEN
[622]	400	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	401	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	402	MPI_REAL, MPI_SUM, comm2d, ierr )
	403	ENDIF
	404	#else
	405	sums(:,1) = sums_l(:,1,0)
	406	sums(:,2) = sums_l(:,2,0)
	407	sums(:,4) = sums_l(:,4,0)
[96]	408	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
[75]	409	IF ( humidity ) THEN
[1]	410	sums(:,44) = sums_l(:,44,0)
	411	sums(:,41) = sums_l(:,41,0)
	412	IF ( cloud_physics ) THEN
	413	sums(:,42) = sums_l(:,42,0)
	414	sums(:,43) = sums_l(:,43,0)
	415	ENDIF
	416	ENDIF
	417	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
	418	#endif
	419
	420	!
	421	!-- Final values are obtained by division by the total number of grid points
	422	!-- used for summation. After that store profiles.
[132]	423	sums(:,1) = sums(:,1) / ngp_2dh(sr)
	424	sums(:,2) = sums(:,2) / ngp_2dh(sr)
	425	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
[1]	426	hom(:,1,1,sr) = sums(:,1) ! u
	427	hom(:,1,2,sr) = sums(:,2) ! v
	428	hom(:,1,4,sr) = sums(:,4) ! pt
	429
[667]	430
[1]	431	!
[96]	432	!-- Salinity
	433	IF ( ocean ) THEN
[132]	434	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
[96]	435	hom(:,1,23,sr) = sums(:,23) ! sa
	436	ENDIF
	437
	438	!
[1]	439	!-- Humidity and cloud parameters
[75]	440	IF ( humidity ) THEN
[132]	441	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
	442	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
[1]	443	hom(:,1,44,sr) = sums(:,44) ! vpt
	444	hom(:,1,41,sr) = sums(:,41) ! qv (q)
	445	IF ( cloud_physics ) THEN
[132]	446	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
	447	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
[1]	448	hom(:,1,42,sr) = sums(:,42) ! qv
	449	hom(:,1,43,sr) = sums(:,43) ! pt
	450	ENDIF
	451	ENDIF
	452
	453	!
	454	!-- Passive scalar
[132]	455	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
	456	ngp_2dh_s_inner(:,sr) ! s (q)
[1]	457
	458	!
	459	!-- Horizontally averaged profiles of the remaining prognostic variables,
	460	!-- variances, the total and the perturbation energy (single values in last
	461	!-- column of sums_l) and some diagnostic quantities.
[132]	462	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	463	!-- ---- speaking the following k-loop would have to be split up and
	464	!-- rearranged according to the staggered grid.
[132]	465	!-- However, this implies no error since staggered velocity components
	466	!-- are zero at the walls and inside buildings.
[1]	467	tn = 0
[82]	468	#if defined( __intel_openmp_bug )
[1]	469	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
	470	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
	471	tn = omp_get_thread_num()
	472	#else
	473	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
	474	!$ tn = omp_get_thread_num()
	475	#endif
	476	!$OMP DO
	477	DO i = nxl, nxr
	478	DO j = nys, nyn
	479	sums_l_etot = 0.0
[132]	480	DO k = nzb_s_inner(j,i), nzt+1
[1]	481	!
	482	!-- Prognostic and diagnostic variables
	483	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
	484	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
	485	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
	486	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
	487	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
	488
	489	sums_l(k,33,tn) = sums_l(k,33,tn) + &
	490	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
[624]	491
	492	IF ( humidity ) THEN
	493	sums_l(k,70,tn) = sums_l(k,70,tn) + &
	494	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
	495	ENDIF
[1007]	496
[699]	497	!
	498	!-- Higher moments
	499	!-- (Computation of the skewness of w further below)
	500	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
[667]	501
[1]	502	sums_l_etot = sums_l_etot + &
[667]	503	0.5 * ( u(k,j,i)2 + v(k,j,i)2 + &
	504	w(k,j,i)*2 ) rmask(j,i,sr)
[1]	505	ENDDO
	506	!
	507	!-- Total and perturbation energy for the total domain (being
	508	!-- collected in the last column of sums_l). Summation of these
	509	!-- quantities is seperated from the previous loop in order to
	510	!-- allow vectorization of that loop.
[87]	511	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
[1]	512	!
	513	!-- 2D-arrays (being collected in the last column of sums_l)
[87]	514	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
[1]	515	us(j,i) * rmask(j,i,sr)
[87]	516	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
[1]	517	usws(j,i) * rmask(j,i,sr)
[87]	518	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
[1]	519	vsws(j,i) * rmask(j,i,sr)
[87]	520	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
[1]	521	ts(j,i) * rmask(j,i,sr)
[197]	522	IF ( humidity ) THEN
	523	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
	524	qs(j,i) * rmask(j,i,sr)
	525	ENDIF
[1]	526	ENDDO
	527	ENDDO
	528
	529	!
[667]	530	!-- Computation of statistics when ws-scheme is not used. Else these
	531	!-- quantities are evaluated in the advection routines.
[743]	532	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	533	!$OMP DO
	534	DO i = nxl, nxr
	535	DO j = nys, nyn
	536	sums_l_eper = 0.0
	537	DO k = nzb_s_inner(j,i), nzt+1
	538	u2 = u(k,j,i)**2
	539	v2 = v(k,j,i)**2
	540	w2 = w(k,j,i)**2
	541	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
	542	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
	543
	544	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
	545	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
	546	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
	547	!
	548	!-- Perturbation energy
	549
	550	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * &
	551	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
	552	sums_l_eper = sums_l_eper + &
	553	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
	554
	555	ENDDO
	556	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
	557	+ sums_l_eper
	558	ENDDO
	559	ENDDO
	560	ENDIF
	561	!
[1]	562	!-- Horizontally averaged profiles of the vertical fluxes
[667]	563
[1]	564	!$OMP DO
	565	DO i = nxl, nxr
	566	DO j = nys, nyn
	567	!
	568	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
	569	!-- oterwise from k=nzb+1)
[132]	570	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
[1]	571	!-- ---- strictly speaking the following k-loop would have to be
	572	!-- split up according to the staggered grid.
[132]	573	!-- However, this implies no error since staggered velocity
	574	!-- components are zero at the walls and inside buildings.
	575
	576	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
[1]	577	!
	578	!-- Momentum flux w"u"
	579	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
	580	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
	581	) * ( &
	582	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	583	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	584	) * rmask(j,i,sr)
	585	!
	586	!-- Momentum flux w"v"
	587	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
	588	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
	589	) * ( &
	590	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	591	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	592	) * rmask(j,i,sr)
	593	!
	594	!-- Heat flux w"pt"
	595	sums_l(k,16,tn) = sums_l(k,16,tn) &
	596	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	597	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	598	* ddzu(k+1) * rmask(j,i,sr)
	599
	600
	601	!
[96]	602	!-- Salinity flux w"sa"
	603	IF ( ocean ) THEN
	604	sums_l(k,65,tn) = sums_l(k,65,tn) &
	605	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	606	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	607	* ddzu(k+1) * rmask(j,i,sr)
	608	ENDIF
	609
	610	!
[1]	611	!-- Buoyancy flux, water flux (humidity flux) w"q"
[75]	612	IF ( humidity ) THEN
[1]	613	sums_l(k,45,tn) = sums_l(k,45,tn) &
	614	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	615	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	616	* ddzu(k+1) * rmask(j,i,sr)
	617	sums_l(k,48,tn) = sums_l(k,48,tn) &
	618	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	619	* ( q(k+1,j,i) - q(k,j,i) ) &
	620	* ddzu(k+1) * rmask(j,i,sr)
[1007]	621
[1]	622	IF ( cloud_physics ) THEN
	623	sums_l(k,51,tn) = sums_l(k,51,tn) &
	624	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	625	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
	626	- ( q(k,j,i) - ql(k,j,i) ) ) &
	627	* ddzu(k+1) * rmask(j,i,sr)
	628	ENDIF
	629	ENDIF
	630
	631	!
	632	!-- Passive scalar flux
	633	IF ( passive_scalar ) THEN
	634	sums_l(k,48,tn) = sums_l(k,48,tn) &
	635	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	636	* ( q(k+1,j,i) - q(k,j,i) ) &
	637	* ddzu(k+1) * rmask(j,i,sr)
	638	ENDIF
	639
	640	ENDDO
	641
	642	!
	643	!-- Subgridscale fluxes in the Prandtl layer
	644	IF ( use_surface_fluxes ) THEN
	645	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
	646	usws(j,i) * rmask(j,i,sr) ! w"u"
	647	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
	648	vsws(j,i) * rmask(j,i,sr) ! w"v"
	649	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
	650	shf(j,i) * rmask(j,i,sr) ! w"pt"
	651	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
	652	0.0 * rmask(j,i,sr) ! u"pt"
	653	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
	654	0.0 * rmask(j,i,sr) ! v"pt"
[96]	655	IF ( ocean ) THEN
	656	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
	657	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	658	ENDIF
[75]	659	IF ( humidity ) THEN
[1]	660	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	661	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	662	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	663	( 1.0 + 0.61 * q(nzb,j,i) ) * &
	664	shf(j,i) + 0.61 * pt(nzb,j,i) * &
	665	qsws(j,i) )
	666	IF ( cloud_droplets ) THEN
	667	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	668	( 1.0 + 0.61 * q(nzb,j,i) - &
	669	ql(nzb,j,i) ) * shf(j,i) + &
	670	0.61 * pt(nzb,j,i) * qsws(j,i) )
	671	ENDIF
[1]	672	IF ( cloud_physics ) THEN
	673	!
	674	!-- Formula does not work if ql(nzb) /= 0.0
	675	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
	676	qsws(j,i) * rmask(j,i,sr)
	677	ENDIF
	678	ENDIF
	679	IF ( passive_scalar ) THEN
	680	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	681	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	682	ENDIF
	683	ENDIF
	684
	685	!
[19]	686	!-- Subgridscale fluxes at the top surface
	687	IF ( use_top_fluxes ) THEN
[550]	688	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
[102]	689	uswst(j,i) * rmask(j,i,sr) ! w"u"
[550]	690	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
[102]	691	vswst(j,i) * rmask(j,i,sr) ! w"v"
[550]	692	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
[19]	693	tswst(j,i) * rmask(j,i,sr) ! w"pt"
[550]	694	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
[19]	695	0.0 * rmask(j,i,sr) ! u"pt"
[550]	696	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
	697	0.0 * rmask(j,i,sr) ! v"pt"
	698
[96]	699	IF ( ocean ) THEN
	700	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
	701	saswst(j,i) * rmask(j,i,sr) ! w"sa"
	702	ENDIF
[75]	703	IF ( humidity ) THEN
[19]	704	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	705	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	706	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	707	( 1.0 + 0.61 * q(nzt,j,i) ) * &
	708	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
	709	qswst(j,i) )
	710	IF ( cloud_droplets ) THEN
	711	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	712	( 1.0 + 0.61 * q(nzt,j,i) - &
	713	ql(nzt,j,i) ) * tswst(j,i) + &
	714	0.61 * pt(nzt,j,i) * qswst(j,i) )
	715	ENDIF
[19]	716	IF ( cloud_physics ) THEN
	717	!
	718	!-- Formula does not work if ql(nzb) /= 0.0
	719	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
	720	qswst(j,i) * rmask(j,i,sr)
	721	ENDIF
	722	ENDIF
	723	IF ( passive_scalar ) THEN
	724	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	725	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[19]	726	ENDIF
	727	ENDIF
	728
	729	!
[1]	730	!-- Resolved fluxes (can be computed for all horizontal points)
[132]	731	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	732	!-- ---- speaking the following k-loop would have to be split up and
	733	!-- rearranged according to the staggered grid.
[132]	734	DO k = nzb_s_inner(j,i), nzt
[1]	735	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	736	u(k+1,j,i) - hom(k+1,1,1,sr) )
	737	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	738	v(k+1,j,i) - hom(k+1,1,2,sr) )
	739	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	740	pt(k+1,j,i) - hom(k+1,1,4,sr) )
[667]	741
[1]	742	!-- Higher moments
	743	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
	744	rmask(j,i,sr)
	745	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
	746	rmask(j,i,sr)
	747
	748	!
[96]	749	!-- Salinity flux and density (density does not belong to here,
[97]	750	!-- but so far there is no other suitable place to calculate)
[96]	751	IF ( ocean ) THEN
[743]	752	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	753	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
[96]	754	sa(k+1,j,i) - hom(k+1,1,23,sr) )
[667]	755	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
[96]	756	rmask(j,i,sr)
[667]	757	ENDIF
[96]	758	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
	759	rmask(j,i,sr)
[388]	760	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
	761	rmask(j,i,sr)
[96]	762	ENDIF
	763
	764	!
[1053]	765	!-- Buoyancy flux, water flux, humidity flux, liquid water
	766	!-- content, rain drop concentration and rain water content
[75]	767	IF ( humidity ) THEN
[1007]	768	IF ( cloud_physics .OR. cloud_droplets ) THEN
[1053]	769	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
[1007]	770	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	771	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
[1]	772	rmask(j,i,sr)
[1053]	773	IF ( .NOT. cloud_droplets ) THEN
[1115]	774	pts = 0.5 * &
	775	( ( q(k,j,i) - ql(k,j,i) ) - &
	776	hom(k,1,42,sr) + &
	777	( q(k+1,j,i) - ql(k+1,j,i) ) - &
[1053]	778	hom(k+1,1,42,sr) )
[1115]	779	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
[1053]	780	rmask(j,i,sr)
	781	IF ( icloud_scheme == 0 ) THEN
[1115]	782	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
[1053]	783	rmask(j,i,sr)
[1115]	784	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
[1053]	785	rmask(j,i,sr)
[1115]	786	IF ( precipitation ) THEN
	787	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
	788	rmask(j,i,sr)
	789	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
	790	rmask(j,i,sr)
	791	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) *&
	792	rmask(j,i,sr)
	793	ENDIF
[1053]	794	ELSE
[1115]	795	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
[1053]	796	rmask(j,i,sr)
	797	ENDIF
	798	ELSE
[1115]	799	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
[1053]	800	rmask(j,i,sr)
	801	ENDIF
[1007]	802	ELSE
	803	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	804	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	805	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	806	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
	807	rmask(j,i,sr)
	808	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
[1053]	809	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * &
[1007]	810	sums_l(k,17,tn) + &
	811	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
	812	END IF
	813	END IF
[1]	814	ENDIF
	815	!
	816	!-- Passive scalar flux
[743]	817	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
	818	.OR. sr /= 0 ) ) THEN
[1]	819	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	820	q(k+1,j,i) - hom(k+1,1,41,sr) )
	821	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	822	rmask(j,i,sr)
	823	ENDIF
	824
	825	!
	826	!-- Energy flux we
[667]	827	!-- has to be adjusted
	828	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
	829	( ust2 + vst2 + w(k,j,i)**2 )&
	830	* rmask(j,i,sr)
[1]	831	ENDDO
	832	ENDDO
	833	ENDDO
[709]	834	!
	835	!-- For speed optimization fluxes which have been computed in part directly
	836	!-- inside the WS advection routines are treated seperatly
	837	!-- Momentum fluxes first:
[743]	838	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	839	!$OMP DO
	840	DO i = nxl, nxr
	841	DO j = nys, nyn
	842	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	843	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	844	u(k+1,j,i) - hom(k+1,1,1,sr) )
	845	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	846	v(k+1,j,i) - hom(k+1,1,2,sr) )
[1007]	847	!
[667]	848	!-- Momentum flux wu
	849	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
	850	( w(k,j,i-1) + w(k,j,i) ) &
	851	* ust * rmask(j,i,sr)
	852	!
	853	!-- Momentum flux wv
	854	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
	855	( w(k,j-1,i) + w(k,j,i) ) &
	856	* vst * rmask(j,i,sr)
	857	ENDDO
	858	ENDDO
	859	ENDDO
[1]	860
[667]	861	ENDIF
[743]	862	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	863	!$OMP DO
	864	DO i = nxl, nxr
	865	DO j = nys, nyn
[709]	866	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	867	!
	868	!-- Vertical heat flux
[667]	869	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
	870	( pt(k,j,i) - hom(k,1,4,sr) + &
	871	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
	872	* w(k,j,i) * rmask(j,i,sr)
	873	IF ( humidity ) THEN
	874	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	875	q(k+1,j,i) - hom(k+1,1,41,sr) )
	876	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	877	rmask(j,i,sr)
	878	ENDIF
	879	ENDDO
	880	ENDDO
	881	ENDDO
	882
	883	ENDIF
	884
	885
[1]	886	!
[97]	887	!-- Density at top follows Neumann condition
[388]	888	IF ( ocean ) THEN
	889	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	890	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
	891	ENDIF
[97]	892
	893	!
[1]	894	!-- Divergence of vertical flux of resolved scale energy and pressure
[106]	895	!-- fluctuations as well as flux of pressure fluctuation itself (68).
	896	!-- First calculate the products, then the divergence.
[1]	897	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
[106]	898	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
[1]	899
	900	sums_ll = 0.0 ! local array
	901
	902	!$OMP DO
	903	DO i = nxl, nxr
	904	DO j = nys, nyn
[132]	905	DO k = nzb_s_inner(j,i)+1, nzt
[1]	906
	907	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	908	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
[678]	909	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
[1]	910	) )**2 &
	911	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
[678]	912	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
[1]	913	) )**2 &
	914	+ w(k,j,i)**2 )
	915
	916	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	917	* ( p(k,j,i) + p(k+1,j,i) )
	918
	919	ENDDO
	920	ENDDO
	921	ENDDO
	922	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	923	sums_ll(nzt+1,1) = 0.0
	924	sums_ll(0,2) = 0.0
	925	sums_ll(nzt+1,2) = 0.0
	926
[678]	927	DO k = nzb+1, nzt
[1]	928	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	929	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
[106]	930	sums_l(k,68,tn) = sums_ll(k,2)
[1]	931	ENDDO
	932	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	933	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
[106]	934	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
[1]	935
	936	ENDIF
	937
	938	!
[106]	939	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
	940	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
[1]	941
	942	!$OMP DO
	943	DO i = nxl, nxr
	944	DO j = nys, nyn
[132]	945	DO k = nzb_s_inner(j,i)+1, nzt
[1]	946
[106]	947	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
[1]	948	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	949	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
[106]	950	) * ddzw(k)
[1]	951
[106]	952	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
	953	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	954	)
	955
[1]	956	ENDDO
	957	ENDDO
	958	ENDDO
	959	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
[106]	960	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
[1]	961
	962	ENDIF
	963
	964	!
	965	!-- Horizontal heat fluxes (subgrid, resolved, total).
	966	!-- Do it only, if profiles shall be plotted.
	967	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	968
	969	!$OMP DO
	970	DO i = nxl, nxr
	971	DO j = nys, nyn
[132]	972	DO k = nzb_s_inner(j,i)+1, nzt
[1]	973	!
	974	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	975	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	976	( kh(k,j,i) + kh(k,j,i-1) ) &
	977	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	978	* ddx * rmask(j,i,sr)
	979	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	980	( kh(k,j,i) + kh(k,j-1,i) ) &
	981	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	982	* ddy * rmask(j,i,sr)
	983	!
	984	!-- Resolved horizontal heat fluxes upt, vpt
	985	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	986	( u(k,j,i) - hom(k,1,1,sr) ) &
	987	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	988	pt(k,j,i) - hom(k,1,4,sr) )
	989	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	990	pt(k,j,i) - hom(k,1,4,sr) )
	991	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	992	( v(k,j,i) - hom(k,1,2,sr) ) &
	993	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	994	pt(k,j,i) - hom(k,1,4,sr) )
	995	ENDDO
	996	ENDDO
	997	ENDDO
	998	!
	999	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
[97]	1000	sums_l(nzb,58,tn) = 0.0
	1001	sums_l(nzb,59,tn) = 0.0
	1002	sums_l(nzb,60,tn) = 0.0
	1003	sums_l(nzb,61,tn) = 0.0
	1004	sums_l(nzb,62,tn) = 0.0
	1005	sums_l(nzb,63,tn) = 0.0
[1]	1006
	1007	ENDIF
[87]	1008
	1009	!
	1010	!-- Calculate the user-defined profiles
	1011	CALL user_statistics( 'profiles', sr, tn )
[1]	1012	!$OMP END PARALLEL
	1013
	1014	!
	1015	!-- Summation of thread sums
	1016	IF ( threads_per_task > 1 ) THEN
	1017	DO i = 1, threads_per_task-1
	1018	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	1019	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
[87]	1020	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	1021	sums_l(:,45:pr_palm,i)
	1022	IF ( max_pr_user > 0 ) THEN
	1023	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	1024	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	1025	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	1026	ENDIF
[1]	1027	ENDDO
	1028	ENDIF
	1029
	1030	#if defined( __parallel )
[667]	1031
[1]	1032	!
	1033	!-- Compute total sum from local sums
[622]	1034	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	1035	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	1036	MPI_SUM, comm2d, ierr )
	1037	#else
	1038	sums = sums_l(:,:,0)
	1039	#endif
	1040
	1041	!
	1042	!-- Final values are obtained by division by the total number of grid points
	1043	!-- used for summation. After that store profiles.
	1044	!-- Profiles:
	1045	DO k = nzb, nzt+1
[132]	1046	sums(k,3) = sums(k,3) / ngp_2dh(sr)
[142]	1047	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
[132]	1048	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
	1049	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
	1050	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
[142]	1051	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
	1052	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
[132]	1053	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
	1054	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
	1055	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
	1056	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
	1057	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
	1058	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
	1059	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
[1]	1060	ENDDO
[667]	1061
[1]	1062	!-- Upstream-parts
[87]	1063	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
[1]	1064	!-- u* and so on
[87]	1065	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
[1]	1066	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	1067	!-- above the topography, they are being divided by ngp_2dh(sr)
[87]	1068	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
[1]	1069	ngp_2dh(sr)
[197]	1070	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
	1071	ngp_2dh(sr)
[1]	1072	!-- eges, e*
[87]	1073	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
[132]	1074	ngp_3d(sr)
[1]	1075	!-- Old and new divergence
[87]	1076	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
[1]	1077	ngp_3d_inner(sr)
	1078
[87]	1079	!-- User-defined profiles
	1080	IF ( max_pr_user > 0 ) THEN
	1081	DO k = nzb, nzt+1
	1082	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	1083	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
[132]	1084	ngp_2dh_s_inner(k,sr)
[87]	1085	ENDDO
	1086	ENDIF
[1007]	1087
[1]	1088	!
	1089	!-- Collect horizontal average in hom.
	1090	!-- Compute deduced averages (e.g. total heat flux)
	1091	hom(:,1,3,sr) = sums(:,3) ! w
	1092	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	1093	hom(:,1,9,sr) = sums(:,9) ! km
	1094	hom(:,1,10,sr) = sums(:,10) ! kh
	1095	hom(:,1,11,sr) = sums(:,11) ! l
	1096	hom(:,1,12,sr) = sums(:,12) ! w"u"
	1097	hom(:,1,13,sr) = sums(:,13) ! wu
	1098	hom(:,1,14,sr) = sums(:,14) ! w"v"
	1099	hom(:,1,15,sr) = sums(:,15) ! wv
	1100	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	1101	hom(:,1,17,sr) = sums(:,17) ! wpt
	1102	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	1103	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	1104	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	1105	hom(:,1,21,sr) = sums(:,21) ! wptBC
	1106	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
[96]	1107	! profile 24 is initial profile (sa)
	1108	! profiles 25-29 left empty for initial
[1]	1109	! profiles
	1110	hom(:,1,30,sr) = sums(:,30) ! u*2
	1111	hom(:,1,31,sr) = sums(:,31) ! v*2
	1112	hom(:,1,32,sr) = sums(:,32) ! w*2
	1113	hom(:,1,33,sr) = sums(:,33) ! pt*2
	1114	hom(:,1,34,sr) = sums(:,34) ! e*
	1115	hom(:,1,35,sr) = sums(:,35) ! w2pt
	1116	hom(:,1,36,sr) = sums(:,36) ! wpt2
	1117	hom(:,1,37,sr) = sums(:,37) ! we
	1118	hom(:,1,38,sr) = sums(:,38) ! w*3
[699]	1119	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
[1]	1120	hom(:,1,40,sr) = sums(:,40) ! p
[531]	1121	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
[1]	1122	hom(:,1,46,sr) = sums(:,46) ! wvpt
	1123	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	1124	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	1125	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	1126	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	1127	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	1128	hom(:,1,52,sr) = sums(:,52) ! wqv
	1129	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	1130	hom(:,1,54,sr) = sums(:,54) ! ql
	1131	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	1132	hom(:,1,56,sr) = sums(:,56) ! wp/dz
[106]	1133	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
[1]	1134	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	1135	hom(:,1,59,sr) = sums(:,59) ! upt
	1136	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	1137	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	1138	hom(:,1,62,sr) = sums(:,62) ! vpt
	1139	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
[96]	1140	hom(:,1,64,sr) = sums(:,64) ! rho
	1141	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	1142	hom(:,1,66,sr) = sums(:,66) ! wsa
	1143	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
[106]	1144	hom(:,1,68,sr) = sums(:,68) ! wp
	1145	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
[197]	1146	hom(:,1,70,sr) = sums(:,70) ! q*2
[388]	1147	hom(:,1,71,sr) = sums(:,71) ! prho
[531]	1148	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
[1053]	1149	hom(:,1,73,sr) = sums(:,73) ! nr
	1150	hom(:,1,74,sr) = sums(:,74) ! qr
	1151	hom(:,1,75,sr) = sums(:,75) ! qc
	1152	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
[1179]	1153	! 77 is initial density profile
[1]	1154
[87]	1155	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
[1]	1156	! upstream-parts u_x, u_y, u_z, v_x,
	1157	! v_y, usw. (in last but one profile)
[667]	1158	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
[1]	1159	! u, w'u', w'v', t (in last profile)
	1160
[87]	1161	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	1162	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	1163	sums(:,pr_palm+1:pr_palm+max_pr_user)
	1164	ENDIF
	1165
[1]	1166	!
	1167	!-- Determine the boundary layer height using two different schemes.
[94]	1168	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	1169	!-- first relative minimum (maximum) of the total heat flux.
	1170	!-- The corresponding height is assumed as the boundary layer height, if it
	1171	!-- is less than 1.5 times the height where the heat flux becomes negative
	1172	!-- (positive) for the first time.
[1]	1173	z_i(1) = 0.0
	1174	first = .TRUE.
[667]	1175
[97]	1176	IF ( ocean ) THEN
	1177	DO k = nzt, nzb+1, -1
[667]	1178	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1179	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
[97]	1180	first = .FALSE.
	1181	height = zw(k)
	1182	ENDIF
	1183	IF ( hom(k,1,18,sr) < 0.0 .AND. &
[667]	1184	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[97]	1185	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1186	IF ( zw(k) < 1.5 * height ) THEN
	1187	z_i(1) = zw(k)
	1188	ELSE
	1189	z_i(1) = height
	1190	ENDIF
	1191	EXIT
	1192	ENDIF
	1193	ENDDO
	1194	ELSE
[94]	1195	DO k = nzb, nzt-1
[667]	1196	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1197	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
[94]	1198	first = .FALSE.
	1199	height = zw(k)
[1]	1200	ENDIF
[667]	1201	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	1202	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[94]	1203	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1204	IF ( zw(k) < 1.5 * height ) THEN
	1205	z_i(1) = zw(k)
	1206	ELSE
	1207	z_i(1) = height
	1208	ENDIF
	1209	EXIT
	1210	ENDIF
	1211	ENDDO
[97]	1212	ENDIF
[1]	1213
	1214	!
[291]	1215	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
	1216	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
	1217	!-- maximal local temperature gradient: starting from the second (the last
	1218	!-- but one) vertical gridpoint, the local gradient must be at least
	1219	!-- 0.2K/100m and greater than the next four gradients.
	1220	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
	1221	!-- ocean case!
[1]	1222	z_i(2) = 0.0
[291]	1223	DO k = nzb+1, nzt+1
	1224	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
	1225	ENDDO
	1226	dptdz_threshold = 0.2 / 100.0
	1227
[97]	1228	IF ( ocean ) THEN
[291]	1229	DO k = nzt+1, nzb+5, -1
	1230	IF ( dptdz(k) > dptdz_threshold .AND. &
	1231	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
	1232	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
	1233	z_i(2) = zw(k-1)
[97]	1234	EXIT
	1235	ENDIF
	1236	ENDDO
	1237	ELSE
[291]	1238	DO k = nzb+1, nzt-3
	1239	IF ( dptdz(k) > dptdz_threshold .AND. &
	1240	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
	1241	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
	1242	z_i(2) = zw(k-1)
[97]	1243	EXIT
	1244	ENDIF
	1245	ENDDO
	1246	ENDIF
[1]	1247
[87]	1248	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	1249	hom(nzb+7,1,pr_palm,sr) = z_i(2)
[1]	1250
	1251	!
	1252	!-- Computation of both the characteristic vertical velocity and
	1253	!-- the characteristic convective boundary layer temperature.
	1254	!-- The horizontal average at nzb+1 is input for the average temperature.
[667]	1255	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
	1256	.AND. z_i(1) /= 0.0 ) THEN
[87]	1257	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
[94]	1258	hom(nzb,1,18,sr) * &
	1259	ABS( z_i(1) ) )**0.333333333
[1]	1260	!-- so far this only works if Prandtl layer is used
[87]	1261	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
[1]	1262	ELSE
[87]	1263	hom(nzb+8,1,pr_palm,sr) = 0.0
	1264	hom(nzb+11,1,pr_palm,sr) = 0.0
[1]	1265	ENDIF
	1266
[48]	1267	!
	1268	!-- Collect the time series quantities
[87]	1269	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	1270	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
[48]	1271	ts_value(3,sr) = dt_3d
[87]	1272	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	1273	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
[48]	1274	ts_value(6,sr) = u_max
	1275	ts_value(7,sr) = v_max
	1276	ts_value(8,sr) = w_max
[87]	1277	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	1278	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	1279	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	1280	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	1281	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
[48]	1282	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	1283	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	1284	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	1285	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	1286	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
[197]	1287	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
	1288	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
[343]	1289	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
[197]	1290
[48]	1291	IF ( ts_value(5,sr) /= 0.0 ) THEN
	1292	ts_value(22,sr) = ts_value(4,sr)**2 / &
	1293	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	1294	ELSE
	1295	ts_value(22,sr) = 10000.0
	1296	ENDIF
[1]	1297
[343]	1298	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
[1]	1299	!
[48]	1300	!-- Calculate additional statistics provided by the user interface
[87]	1301	CALL user_statistics( 'time_series', sr, 0 )
[1]	1302
[48]	1303	ENDDO ! loop of the subregions
	1304
[1]	1305	!
	1306	!-- If required, sum up horizontal averages for subsequent time averaging
	1307	IF ( do_sum ) THEN
	1308	IF ( average_count_pr == 0 ) hom_sum = 0.0
	1309	hom_sum = hom_sum + hom(:,1,:,:)
	1310	average_count_pr = average_count_pr + 1
	1311	do_sum = .FALSE.
	1312	ENDIF
	1313
	1314	!
	1315	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	1316	!-- This flag is reset after each time step in time_integration.
	1317	flow_statistics_called = .TRUE.
	1318
	1319	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	1320
	1321
	1322	END SUBROUTINE flow_statistics

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