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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1315

Last change on this file since 1315 was 1310, checked in by raasch, 11 years ago
update of GPL copyright
Property svn:keywords set to `Id`
File size: 120.7 KB

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[1221]	1	#if ! defined( __openacc )
[1]	2	SUBROUTINE flow_statistics
	3
[1036]	4	!--------------------------------------------------------------------------------!
	5	! This file is part of PALM.
	6	!
	7	! PALM is free software: you can redistribute it and/or modify it under the terms
	8	! of the GNU General Public License as published by the Free Software Foundation,
	9	! either version 3 of the License, or (at your option) any later version.
	10	!
	11	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	12	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	13	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	14	!
	15	! You should have received a copy of the GNU General Public License along with
	16	! PALM. If not, see <http://www.gnu.org/licenses/>.
	17	!
[1310]	18	! Copyright 1997-2014 Leibniz Universitaet Hannover
[1036]	19	!--------------------------------------------------------------------------------!
	20	!
[254]	21	! Current revisions:
[1]	22	! -----------------
[1300]	23	!
[1008]	24	!
	25	! Former revisions:
	26	! -----------------
	27	! $Id: flow_statistics.f90 1310 2014-03-14 08:01:56Z suehring $
	28	!
[1300]	29	! 1299 2014-03-06 13:15:21Z heinze
	30	! Output of large scale vertical velocity w_subs
	31	!
[1258]	32	! 1257 2013-11-08 15:18:40Z raasch
	33	! openacc "end parallel" replaced by "end parallel loop"
	34	!
[1242]	35	! 1241 2013-10-30 11:36:58Z heinze
	36	! Output of ug and vg
	37	!
[1222]	38	! 1221 2013-09-10 08:59:13Z raasch
	39	! ported for openACC in separate #else branch
	40	!
[1182]	41	! 1179 2013-06-14 05:57:58Z raasch
	42	! comment for profile 77 added
	43	!
[1116]	44	! 1115 2013-03-26 18:16:16Z hoffmann
	45	! ql is calculated by calc_liquid_water_content
	46	!
[1112]	47	! 1111 2013-03-08 23:54:10Z raasch
	48	! openACC directive added
	49	!
[1054]	50	! 1053 2012-11-13 17:11:03Z hoffmann
[1112]	51	! additions for two-moment cloud physics scheme:
[1054]	52	! +nr, qr, qc, prr
	53	!
[1037]	54	! 1036 2012-10-22 13:43:42Z raasch
	55	! code put under GPL (PALM 3.9)
	56	!
[1008]	57	! 1007 2012-09-19 14:30:36Z franke
[1007]	58	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
	59	! turbulent fluxes of WS-scheme
	60	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
	61	! droplets at nzb and nzt added
[700]	62	!
[802]	63	! 801 2012-01-10 17:30:36Z suehring
	64	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
	65	!
[744]	66	! 743 2011-08-18 16:10:16Z suehring
	67	! Calculation of turbulent fluxes with WS-scheme only for the whole model
	68	! domain, not for user-defined subregions.
	69	!
[710]	70	! 709 2011-03-30 09:31:40Z raasch
	71	! formatting adjustments
	72	!
[700]	73	! 699 2011-03-22 17:52:22Z suehring
[699]	74	! Bugfix in calculation of vertical velocity skewness. The added absolute value
	75	! avoid negative values in the root. Negative values of w'w' can occur at the
	76	! top or bottom of the model domain due to degrading the order of advection
	77	! scheme. Furthermore the calculation will be the same for all advection
	78	! schemes.
[1221]	79	!, tend
[697]	80	! 696 2011-03-18 07:03:49Z raasch
	81	! Bugfix: Summation of Wicker-Skamarock scheme fluxes and variances for all
	82	! threads
	83	!
[679]	84	! 678 2011-02-02 14:31:56Z raasch
	85	! Bugfix in calculation of the divergence of vertical flux of resolved scale
	86	! energy, pressure fluctuations, and flux of pressure fluctuation itself
	87	!
[674]	88	! 673 2011-01-18 16:19:48Z suehring
	89	! Top bc for the horizontal velocity variances added for ocean runs.
	90	! Setting the corresponding bottom bc moved to advec_ws.
	91	!
[668]	92	! 667 2010-12-23 12:06:00Z suehring/gryschka
	93	! When advection is computed with ws-scheme, turbulent fluxes are already
	94	! computed in the respective advection routines and buffered in arrays
	95	! sums_xx_ws_l(). This is due to a consistent treatment of statistics with the
	96	! numerics and to avoid unphysical kinks near the surface.
	97	! So some if requests has to be done to dicern between fluxes from ws-scheme
	98	! other advection schemes.
	99	! Furthermore the computation of z_i is only done if the heat flux exceeds a
	100	! minimum value. This affects only simulations of a neutral boundary layer and
	101	! is due to reasons of computations in the advection scheme.
	102	!
[625]	103	! 624 2010-12-10 11:46:30Z heinze
	104	! Calculation of q*2 added
	105	!
[623]	106	! 622 2010-12-10 08:08:13Z raasch
	107	! optional barriers included in order to speed up collective operations
	108	!
[392]	109	! 388 2009-09-23 09:40:33Z raasch
[388]	110	! Vertical profiles of potential density and hydrostatic pressure are
	111	! calculated.
[343]	112	! Added missing timeseries calculation of w"q"(0), moved timeseries q* to the
	113	! end.
[291]	114	! Temperature gradient criterion for estimating the boundary layer height
	115	! replaced by the gradient criterion of Sullivan et al. (1998).
[254]	116	! Output of messages replaced by message handling routine.
[1]	117	!
[198]	118	! 197 2008-09-16 15:29:03Z raasch
	119	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
	120	! added,
	121	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
	122	! (like other scalars)
	123	!
[139]	124	! 133 2007-11-20 10:10:53Z letzel
	125	! Vertical profiles now based on nzb_s_inner; they are divided by
	126	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
	127	! velocity components and their products, procucts of scalars and velocity
	128	! components), respectively.
	129	!
[110]	130	! 106 2007-08-16 14:30:26Z raasch
	131	! Prescribed momentum fluxes at the top surface are used,
	132	! profiles for wp and w"e are calculated
	133	!
[98]	134	! 97 2007-06-21 08:23:15Z raasch
	135	! Statistics for ocean version (salinity, density) added,
	136	! calculation of z_i and Deardorff velocity scale adjusted to be used with
	137	! the ocean version
	138	!
[90]	139	! 87 2007-05-22 15:46:47Z raasch
	140	! Two more arguments added to user_statistics, which is now also called for
	141	! user-defined profiles,
	142	! var_hom and var_sum renamed pr_palm
	143	!
[83]	144	! 82 2007-04-16 15:40:52Z raasch
	145	! Cpp-directive lcmuk changed to intel_openmp_bug
	146	!
[77]	147	! 75 2007-03-22 09:54:05Z raasch
	148	! Collection of time series quantities moved from routine flow_statistics to
	149	! here, routine user_statistics is called for each statistic region,
	150	! moisture renamed humidity
	151	!
[39]	152	! 19 2007-02-23 04:53:48Z raasch
[77]	153	! fluxes at top modified (tswst, qswst)
[39]	154	!
[3]	155	! RCS Log replace by Id keyword, revision history cleaned up
	156	!
[1]	157	! Revision 1.41 2006/08/04 14:37:50 raasch
	158	! Error removed in non-parallel part (sums_l)
	159	!
	160	! Revision 1.1 1997/08/11 06:15:17 raasch
	161	! Initial revision
	162	!
	163	!
	164	! Description:
	165	! ------------
	166	! Compute average profiles and further average flow quantities for the different
	167	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
	168	!
[132]	169	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
	170	! ---- lower vertical index for k-loops for all variables, although strictly
	171	! speaking the k-loops would have to be split up according to the staggered
	172	! grid. However, this implies no error since staggered velocity components are
	173	! zero at the walls and inside buildings.
[1]	174	!------------------------------------------------------------------------------!
	175
	176	USE arrays_3d
	177	USE cloud_parameters
[709]	178	USE control_parameters
[1]	179	USE cpulog
	180	USE grid_variables
	181	USE indices
	182	USE interfaces
	183	USE pegrid
	184	USE statistics
	185
	186	IMPLICIT NONE
	187
	188	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
	189	LOGICAL :: first
[291]	190	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
	191	ust2, u2, vst, vst2, v2, w2, z_i(2)
	192	REAL :: dptdz(nzb+1:nzt+1)
[1]	193	REAL :: sums_ll(nzb:nzt+1,2)
	194
	195	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
	196
[1221]	197	!$acc update host( km, kh, e, pt, qs, qsws, rif, shf, ts, u, usws, v, vsws, w )
	198
[1]	199	!
	200	!-- To be on the safe side, check whether flow_statistics has already been
	201	!-- called once after the current time step
	202	IF ( flow_statistics_called ) THEN
[254]	203
[274]	204	message_string = 'flow_statistics is called two times within one ' // &
	205	'timestep'
[254]	206	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
[1007]	207
[1]	208	ENDIF
	209
	210	!
	211	!-- Compute statistics for each (sub-)region
	212	DO sr = 0, statistic_regions
	213
	214	!
	215	!-- Initialize (local) summation array
	216	sums_l = 0.0
	217
	218	!
	219	!-- Store sums that have been computed in other subroutines in summation
	220	!-- array
	221	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
	222	!-- WARNING: next line still has to be adjusted for OpenMP
	223	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
[87]	224	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
	225	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
[1]	226
[667]	227	!
	228	!-- Copy the turbulent quantities, evaluated in the advection routines to
	229	!-- the local array sums_l() for further computations
[743]	230	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
[696]	231
[1007]	232	!
[673]	233	!-- According to the Neumann bc for the horizontal velocity components,
	234	!-- the corresponding fluxes has to satisfiy the same bc.
	235	IF ( ocean ) THEN
[801]	236	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
[1007]	237	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
[673]	238	ENDIF
[696]	239
	240	DO i = 0, threads_per_task-1
[1007]	241	!
[696]	242	!-- Swap the turbulent quantities evaluated in advec_ws.
[801]	243	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
	244	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
	245	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
	246	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
	247	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
[696]	248	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
[801]	249	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
	250	sums_ws2_ws_l(:,i) ) ! e*
[696]	251	DO k = nzb, nzt
[801]	252	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
	253	sums_us2_ws_l(k,i) + &
	254	sums_vs2_ws_l(k,i) + &
	255	sums_ws2_ws_l(k,i) )
[696]	256	ENDDO
[667]	257	ENDDO
[696]	258
[667]	259	ENDIF
[696]	260
[743]	261	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
[696]	262
	263	DO i = 0, threads_per_task-1
[801]	264	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
	265	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
[696]	266	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
[801]	267	sums_wsqs_ws_l(:,i) !wq
[696]	268	ENDDO
	269
[667]	270	ENDIF
[305]	271	!
[1]	272	!-- Horizontally averaged profiles of horizontal velocities and temperature.
	273	!-- They must have been computed before, because they are already required
	274	!-- for other horizontal averages.
	275	tn = 0
[667]	276
[1]	277	!$OMP PARALLEL PRIVATE( i, j, k, tn )
[82]	278	#if defined( __intel_openmp_bug )
[1]	279	tn = omp_get_thread_num()
	280	#else
	281	!$ tn = omp_get_thread_num()
	282	#endif
	283
	284	!$OMP DO
	285	DO i = nxl, nxr
	286	DO j = nys, nyn
[132]	287	DO k = nzb_s_inner(j,i), nzt+1
[1]	288	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
	289	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
	290	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
	291	ENDDO
	292	ENDDO
	293	ENDDO
	294
	295	!
[96]	296	!-- Horizontally averaged profile of salinity
	297	IF ( ocean ) THEN
	298	!$OMP DO
	299	DO i = nxl, nxr
	300	DO j = nys, nyn
[132]	301	DO k = nzb_s_inner(j,i), nzt+1
[96]	302	sums_l(k,23,tn) = sums_l(k,23,tn) + &
	303	sa(k,j,i) * rmask(j,i,sr)
	304	ENDDO
	305	ENDDO
	306	ENDDO
	307	ENDIF
	308
	309	!
[1]	310	!-- Horizontally averaged profiles of virtual potential temperature,
	311	!-- total water content, specific humidity and liquid water potential
	312	!-- temperature
[75]	313	IF ( humidity ) THEN
[1]	314	!$OMP DO
	315	DO i = nxl, nxr
	316	DO j = nys, nyn
[132]	317	DO k = nzb_s_inner(j,i), nzt+1
[1]	318	sums_l(k,44,tn) = sums_l(k,44,tn) + &
	319	vpt(k,j,i) * rmask(j,i,sr)
	320	sums_l(k,41,tn) = sums_l(k,41,tn) + &
	321	q(k,j,i) * rmask(j,i,sr)
	322	ENDDO
	323	ENDDO
	324	ENDDO
	325	IF ( cloud_physics ) THEN
	326	!$OMP DO
	327	DO i = nxl, nxr
	328	DO j = nys, nyn
[132]	329	DO k = nzb_s_inner(j,i), nzt+1
[1]	330	sums_l(k,42,tn) = sums_l(k,42,tn) + &
	331	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
	332	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
	333	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
	334	) * rmask(j,i,sr)
	335	ENDDO
	336	ENDDO
	337	ENDDO
	338	ENDIF
	339	ENDIF
	340
	341	!
	342	!-- Horizontally averaged profiles of passive scalar
	343	IF ( passive_scalar ) THEN
	344	!$OMP DO
	345	DO i = nxl, nxr
	346	DO j = nys, nyn
[132]	347	DO k = nzb_s_inner(j,i), nzt+1
[1]	348	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
	349	ENDDO
	350	ENDDO
	351	ENDDO
	352	ENDIF
	353	!$OMP END PARALLEL
	354	!
	355	!-- Summation of thread sums
	356	IF ( threads_per_task > 1 ) THEN
	357	DO i = 1, threads_per_task-1
	358	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
	359	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
	360	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
[96]	361	IF ( ocean ) THEN
	362	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
	363	ENDIF
[75]	364	IF ( humidity ) THEN
[1]	365	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	366	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
	367	IF ( cloud_physics ) THEN
	368	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
	369	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
	370	ENDIF
	371	ENDIF
	372	IF ( passive_scalar ) THEN
	373	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	374	ENDIF
	375	ENDDO
	376	ENDIF
	377
	378	#if defined( __parallel )
	379	!
	380	!-- Compute total sum from local sums
[622]	381	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	382	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
	383	MPI_SUM, comm2d, ierr )
[622]	384	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	385	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
	386	MPI_SUM, comm2d, ierr )
[622]	387	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	388	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
	389	MPI_SUM, comm2d, ierr )
[96]	390	IF ( ocean ) THEN
[622]	391	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[96]	392	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
	393	MPI_REAL, MPI_SUM, comm2d, ierr )
	394	ENDIF
[75]	395	IF ( humidity ) THEN
[622]	396	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	397	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
	398	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	399	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	400	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	401	MPI_REAL, MPI_SUM, comm2d, ierr )
	402	IF ( cloud_physics ) THEN
[622]	403	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	404	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
	405	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	406	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	407	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
	408	MPI_REAL, MPI_SUM, comm2d, ierr )
	409	ENDIF
	410	ENDIF
	411
	412	IF ( passive_scalar ) THEN
[622]	413	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	414	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	415	MPI_REAL, MPI_SUM, comm2d, ierr )
	416	ENDIF
	417	#else
	418	sums(:,1) = sums_l(:,1,0)
	419	sums(:,2) = sums_l(:,2,0)
	420	sums(:,4) = sums_l(:,4,0)
[96]	421	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
[75]	422	IF ( humidity ) THEN
[1]	423	sums(:,44) = sums_l(:,44,0)
	424	sums(:,41) = sums_l(:,41,0)
	425	IF ( cloud_physics ) THEN
	426	sums(:,42) = sums_l(:,42,0)
	427	sums(:,43) = sums_l(:,43,0)
	428	ENDIF
	429	ENDIF
	430	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
	431	#endif
	432
	433	!
	434	!-- Final values are obtained by division by the total number of grid points
	435	!-- used for summation. After that store profiles.
[132]	436	sums(:,1) = sums(:,1) / ngp_2dh(sr)
	437	sums(:,2) = sums(:,2) / ngp_2dh(sr)
	438	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
[1]	439	hom(:,1,1,sr) = sums(:,1) ! u
	440	hom(:,1,2,sr) = sums(:,2) ! v
	441	hom(:,1,4,sr) = sums(:,4) ! pt
	442
[667]	443
[1]	444	!
[96]	445	!-- Salinity
	446	IF ( ocean ) THEN
[132]	447	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
[96]	448	hom(:,1,23,sr) = sums(:,23) ! sa
	449	ENDIF
	450
	451	!
[1]	452	!-- Humidity and cloud parameters
[75]	453	IF ( humidity ) THEN
[132]	454	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
	455	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
[1]	456	hom(:,1,44,sr) = sums(:,44) ! vpt
	457	hom(:,1,41,sr) = sums(:,41) ! qv (q)
	458	IF ( cloud_physics ) THEN
[132]	459	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
	460	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
[1]	461	hom(:,1,42,sr) = sums(:,42) ! qv
	462	hom(:,1,43,sr) = sums(:,43) ! pt
	463	ENDIF
	464	ENDIF
	465
	466	!
	467	!-- Passive scalar
[132]	468	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
	469	ngp_2dh_s_inner(:,sr) ! s (q)
[1]	470
	471	!
	472	!-- Horizontally averaged profiles of the remaining prognostic variables,
	473	!-- variances, the total and the perturbation energy (single values in last
	474	!-- column of sums_l) and some diagnostic quantities.
[132]	475	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	476	!-- ---- speaking the following k-loop would have to be split up and
	477	!-- rearranged according to the staggered grid.
[132]	478	!-- However, this implies no error since staggered velocity components
	479	!-- are zero at the walls and inside buildings.
[1]	480	tn = 0
[82]	481	#if defined( __intel_openmp_bug )
[1]	482	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
	483	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
	484	tn = omp_get_thread_num()
	485	#else
	486	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
	487	!$ tn = omp_get_thread_num()
	488	#endif
	489	!$OMP DO
	490	DO i = nxl, nxr
	491	DO j = nys, nyn
	492	sums_l_etot = 0.0
[132]	493	DO k = nzb_s_inner(j,i), nzt+1
[1]	494	!
	495	!-- Prognostic and diagnostic variables
	496	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
	497	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
	498	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
	499	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
	500	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
	501
	502	sums_l(k,33,tn) = sums_l(k,33,tn) + &
	503	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
[624]	504
	505	IF ( humidity ) THEN
	506	sums_l(k,70,tn) = sums_l(k,70,tn) + &
	507	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
	508	ENDIF
[1007]	509
[699]	510	!
	511	!-- Higher moments
	512	!-- (Computation of the skewness of w further below)
	513	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
[667]	514
[1]	515	sums_l_etot = sums_l_etot + &
[667]	516	0.5 * ( u(k,j,i)2 + v(k,j,i)2 + &
	517	w(k,j,i)*2 ) rmask(j,i,sr)
[1]	518	ENDDO
	519	!
	520	!-- Total and perturbation energy for the total domain (being
	521	!-- collected in the last column of sums_l). Summation of these
	522	!-- quantities is seperated from the previous loop in order to
	523	!-- allow vectorization of that loop.
[87]	524	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
[1]	525	!
	526	!-- 2D-arrays (being collected in the last column of sums_l)
[87]	527	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
[1]	528	us(j,i) * rmask(j,i,sr)
[87]	529	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
[1]	530	usws(j,i) * rmask(j,i,sr)
[87]	531	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
[1]	532	vsws(j,i) * rmask(j,i,sr)
[87]	533	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
[1]	534	ts(j,i) * rmask(j,i,sr)
[197]	535	IF ( humidity ) THEN
	536	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
	537	qs(j,i) * rmask(j,i,sr)
	538	ENDIF
[1]	539	ENDDO
	540	ENDDO
	541
	542	!
[667]	543	!-- Computation of statistics when ws-scheme is not used. Else these
	544	!-- quantities are evaluated in the advection routines.
[743]	545	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	546	!$OMP DO
	547	DO i = nxl, nxr
	548	DO j = nys, nyn
	549	sums_l_eper = 0.0
	550	DO k = nzb_s_inner(j,i), nzt+1
	551	u2 = u(k,j,i)**2
	552	v2 = v(k,j,i)**2
	553	w2 = w(k,j,i)**2
	554	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
	555	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
	556
	557	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
	558	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
	559	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
	560	!
	561	!-- Perturbation energy
	562
	563	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * &
	564	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
	565	sums_l_eper = sums_l_eper + &
	566	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
	567
	568	ENDDO
	569	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
	570	+ sums_l_eper
	571	ENDDO
	572	ENDDO
	573	ENDIF
[1241]	574
[667]	575	!
[1]	576	!-- Horizontally averaged profiles of the vertical fluxes
[667]	577
[1]	578	!$OMP DO
	579	DO i = nxl, nxr
	580	DO j = nys, nyn
	581	!
	582	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
	583	!-- oterwise from k=nzb+1)
[132]	584	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
[1]	585	!-- ---- strictly speaking the following k-loop would have to be
	586	!-- split up according to the staggered grid.
[132]	587	!-- However, this implies no error since staggered velocity
	588	!-- components are zero at the walls and inside buildings.
	589
	590	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
[1]	591	!
	592	!-- Momentum flux w"u"
	593	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
	594	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
	595	) * ( &
	596	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	597	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	598	) * rmask(j,i,sr)
	599	!
	600	!-- Momentum flux w"v"
	601	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
	602	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
	603	) * ( &
	604	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	605	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	606	) * rmask(j,i,sr)
	607	!
	608	!-- Heat flux w"pt"
	609	sums_l(k,16,tn) = sums_l(k,16,tn) &
	610	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	611	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	612	* ddzu(k+1) * rmask(j,i,sr)
	613
	614
	615	!
[96]	616	!-- Salinity flux w"sa"
	617	IF ( ocean ) THEN
	618	sums_l(k,65,tn) = sums_l(k,65,tn) &
	619	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	620	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	621	* ddzu(k+1) * rmask(j,i,sr)
	622	ENDIF
	623
	624	!
[1]	625	!-- Buoyancy flux, water flux (humidity flux) w"q"
[75]	626	IF ( humidity ) THEN
[1]	627	sums_l(k,45,tn) = sums_l(k,45,tn) &
	628	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	629	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	630	* ddzu(k+1) * rmask(j,i,sr)
	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)
[1007]	635
[1]	636	IF ( cloud_physics ) THEN
	637	sums_l(k,51,tn) = sums_l(k,51,tn) &
	638	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	639	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
	640	- ( q(k,j,i) - ql(k,j,i) ) ) &
	641	* ddzu(k+1) * rmask(j,i,sr)
	642	ENDIF
	643	ENDIF
	644
	645	!
	646	!-- Passive scalar flux
	647	IF ( passive_scalar ) THEN
	648	sums_l(k,48,tn) = sums_l(k,48,tn) &
	649	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	650	* ( q(k+1,j,i) - q(k,j,i) ) &
	651	* ddzu(k+1) * rmask(j,i,sr)
	652	ENDIF
	653
	654	ENDDO
	655
	656	!
	657	!-- Subgridscale fluxes in the Prandtl layer
	658	IF ( use_surface_fluxes ) THEN
	659	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
	660	usws(j,i) * rmask(j,i,sr) ! w"u"
	661	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
	662	vsws(j,i) * rmask(j,i,sr) ! w"v"
	663	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
	664	shf(j,i) * rmask(j,i,sr) ! w"pt"
	665	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
	666	0.0 * rmask(j,i,sr) ! u"pt"
	667	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
	668	0.0 * rmask(j,i,sr) ! v"pt"
[96]	669	IF ( ocean ) THEN
	670	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
	671	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	672	ENDIF
[75]	673	IF ( humidity ) THEN
[1]	674	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	675	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	676	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	677	( 1.0 + 0.61 * q(nzb,j,i) ) * &
	678	shf(j,i) + 0.61 * pt(nzb,j,i) * &
	679	qsws(j,i) )
	680	IF ( cloud_droplets ) THEN
	681	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	682	( 1.0 + 0.61 * q(nzb,j,i) - &
	683	ql(nzb,j,i) ) * shf(j,i) + &
	684	0.61 * pt(nzb,j,i) * qsws(j,i) )
	685	ENDIF
[1]	686	IF ( cloud_physics ) THEN
	687	!
	688	!-- Formula does not work if ql(nzb) /= 0.0
	689	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
	690	qsws(j,i) * rmask(j,i,sr)
	691	ENDIF
	692	ENDIF
	693	IF ( passive_scalar ) THEN
	694	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	695	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	696	ENDIF
	697	ENDIF
	698
	699	!
[19]	700	!-- Subgridscale fluxes at the top surface
	701	IF ( use_top_fluxes ) THEN
[550]	702	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
[102]	703	uswst(j,i) * rmask(j,i,sr) ! w"u"
[550]	704	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
[102]	705	vswst(j,i) * rmask(j,i,sr) ! w"v"
[550]	706	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
[19]	707	tswst(j,i) * rmask(j,i,sr) ! w"pt"
[550]	708	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
[19]	709	0.0 * rmask(j,i,sr) ! u"pt"
[550]	710	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
	711	0.0 * rmask(j,i,sr) ! v"pt"
	712
[96]	713	IF ( ocean ) THEN
	714	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
	715	saswst(j,i) * rmask(j,i,sr) ! w"sa"
	716	ENDIF
[75]	717	IF ( humidity ) THEN
[19]	718	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	719	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	720	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	721	( 1.0 + 0.61 * q(nzt,j,i) ) * &
	722	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
	723	qswst(j,i) )
	724	IF ( cloud_droplets ) THEN
	725	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	726	( 1.0 + 0.61 * q(nzt,j,i) - &
	727	ql(nzt,j,i) ) * tswst(j,i) + &
	728	0.61 * pt(nzt,j,i) * qswst(j,i) )
	729	ENDIF
[19]	730	IF ( cloud_physics ) THEN
	731	!
	732	!-- Formula does not work if ql(nzb) /= 0.0
	733	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
	734	qswst(j,i) * rmask(j,i,sr)
	735	ENDIF
	736	ENDIF
	737	IF ( passive_scalar ) THEN
	738	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	739	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[19]	740	ENDIF
	741	ENDIF
	742
	743	!
[1]	744	!-- Resolved fluxes (can be computed for all horizontal points)
[132]	745	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	746	!-- ---- speaking the following k-loop would have to be split up and
	747	!-- rearranged according to the staggered grid.
[132]	748	DO k = nzb_s_inner(j,i), nzt
[1]	749	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	750	u(k+1,j,i) - hom(k+1,1,1,sr) )
	751	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	752	v(k+1,j,i) - hom(k+1,1,2,sr) )
	753	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	754	pt(k+1,j,i) - hom(k+1,1,4,sr) )
[667]	755
[1]	756	!-- Higher moments
	757	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
	758	rmask(j,i,sr)
	759	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
	760	rmask(j,i,sr)
	761
	762	!
[96]	763	!-- Salinity flux and density (density does not belong to here,
[97]	764	!-- but so far there is no other suitable place to calculate)
[96]	765	IF ( ocean ) THEN
[743]	766	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	767	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
[96]	768	sa(k+1,j,i) - hom(k+1,1,23,sr) )
[667]	769	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
[96]	770	rmask(j,i,sr)
[667]	771	ENDIF
[96]	772	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
	773	rmask(j,i,sr)
[388]	774	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
	775	rmask(j,i,sr)
[96]	776	ENDIF
	777
	778	!
[1053]	779	!-- Buoyancy flux, water flux, humidity flux, liquid water
	780	!-- content, rain drop concentration and rain water content
[75]	781	IF ( humidity ) THEN
[1007]	782	IF ( cloud_physics .OR. cloud_droplets ) THEN
[1053]	783	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
[1007]	784	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	785	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
[1]	786	rmask(j,i,sr)
[1053]	787	IF ( .NOT. cloud_droplets ) THEN
[1115]	788	pts = 0.5 * &
	789	( ( q(k,j,i) - ql(k,j,i) ) - &
	790	hom(k,1,42,sr) + &
	791	( q(k+1,j,i) - ql(k+1,j,i) ) - &
[1053]	792	hom(k+1,1,42,sr) )
[1115]	793	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
[1053]	794	rmask(j,i,sr)
	795	IF ( icloud_scheme == 0 ) THEN
[1115]	796	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
[1053]	797	rmask(j,i,sr)
[1115]	798	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
[1053]	799	rmask(j,i,sr)
[1115]	800	IF ( precipitation ) THEN
	801	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
	802	rmask(j,i,sr)
	803	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
	804	rmask(j,i,sr)
	805	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) *&
	806	rmask(j,i,sr)
	807	ENDIF
[1053]	808	ELSE
[1115]	809	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
[1053]	810	rmask(j,i,sr)
	811	ENDIF
	812	ELSE
[1115]	813	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
[1053]	814	rmask(j,i,sr)
	815	ENDIF
[1007]	816	ELSE
	817	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	818	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	819	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	820	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
	821	rmask(j,i,sr)
	822	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
[1053]	823	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * &
[1007]	824	sums_l(k,17,tn) + &
	825	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
	826	END IF
	827	END IF
[1]	828	ENDIF
	829	!
	830	!-- Passive scalar flux
[743]	831	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
	832	.OR. sr /= 0 ) ) THEN
[1]	833	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	834	q(k+1,j,i) - hom(k+1,1,41,sr) )
	835	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	836	rmask(j,i,sr)
	837	ENDIF
	838
	839	!
	840	!-- Energy flux we
[667]	841	!-- has to be adjusted
	842	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
	843	( ust2 + vst2 + w(k,j,i)**2 )&
	844	* rmask(j,i,sr)
[1]	845	ENDDO
	846	ENDDO
	847	ENDDO
[709]	848	!
	849	!-- For speed optimization fluxes which have been computed in part directly
	850	!-- inside the WS advection routines are treated seperatly
	851	!-- Momentum fluxes first:
[743]	852	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	853	!$OMP DO
	854	DO i = nxl, nxr
	855	DO j = nys, nyn
	856	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	857	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	858	u(k+1,j,i) - hom(k+1,1,1,sr) )
	859	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	860	v(k+1,j,i) - hom(k+1,1,2,sr) )
[1007]	861	!
[667]	862	!-- Momentum flux wu
	863	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
	864	( w(k,j,i-1) + w(k,j,i) ) &
	865	* ust * rmask(j,i,sr)
	866	!
	867	!-- Momentum flux wv
	868	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
	869	( w(k,j-1,i) + w(k,j,i) ) &
	870	* vst * rmask(j,i,sr)
	871	ENDDO
	872	ENDDO
	873	ENDDO
[1]	874
[667]	875	ENDIF
[743]	876	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	877	!$OMP DO
	878	DO i = nxl, nxr
	879	DO j = nys, nyn
[709]	880	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	881	!
	882	!-- Vertical heat flux
[667]	883	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
	884	( pt(k,j,i) - hom(k,1,4,sr) + &
	885	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
	886	* w(k,j,i) * rmask(j,i,sr)
	887	IF ( humidity ) THEN
	888	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	889	q(k+1,j,i) - hom(k+1,1,41,sr) )
	890	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	891	rmask(j,i,sr)
	892	ENDIF
	893	ENDDO
	894	ENDDO
	895	ENDDO
	896
	897	ENDIF
	898
[1]	899	!
[97]	900	!-- Density at top follows Neumann condition
[388]	901	IF ( ocean ) THEN
	902	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	903	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
	904	ENDIF
[97]	905
	906	!
[1]	907	!-- Divergence of vertical flux of resolved scale energy and pressure
[106]	908	!-- fluctuations as well as flux of pressure fluctuation itself (68).
	909	!-- First calculate the products, then the divergence.
[1]	910	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
[106]	911	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
[1]	912
	913	sums_ll = 0.0 ! local array
	914
	915	!$OMP DO
	916	DO i = nxl, nxr
	917	DO j = nys, nyn
[132]	918	DO k = nzb_s_inner(j,i)+1, nzt
[1]	919
	920	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	921	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
[678]	922	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
[1]	923	) )**2 &
	924	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
[678]	925	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
[1]	926	) )**2 &
	927	+ w(k,j,i)**2 )
	928
	929	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	930	* ( p(k,j,i) + p(k+1,j,i) )
	931
	932	ENDDO
	933	ENDDO
	934	ENDDO
	935	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	936	sums_ll(nzt+1,1) = 0.0
	937	sums_ll(0,2) = 0.0
	938	sums_ll(nzt+1,2) = 0.0
	939
[678]	940	DO k = nzb+1, nzt
[1]	941	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	942	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
[106]	943	sums_l(k,68,tn) = sums_ll(k,2)
[1]	944	ENDDO
	945	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	946	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
[106]	947	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
[1]	948
	949	ENDIF
	950
	951	!
[106]	952	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
	953	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
[1]	954
	955	!$OMP DO
	956	DO i = nxl, nxr
	957	DO j = nys, nyn
[132]	958	DO k = nzb_s_inner(j,i)+1, nzt
[1]	959
[106]	960	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
[1]	961	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	962	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
[106]	963	) * ddzw(k)
[1]	964
[106]	965	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
	966	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	967	)
	968
[1]	969	ENDDO
	970	ENDDO
	971	ENDDO
	972	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
[106]	973	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
[1]	974
	975	ENDIF
	976
	977	!
	978	!-- Horizontal heat fluxes (subgrid, resolved, total).
	979	!-- Do it only, if profiles shall be plotted.
	980	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	981
	982	!$OMP DO
	983	DO i = nxl, nxr
	984	DO j = nys, nyn
[132]	985	DO k = nzb_s_inner(j,i)+1, nzt
[1]	986	!
	987	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	988	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	989	( kh(k,j,i) + kh(k,j,i-1) ) &
	990	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	991	* ddx * rmask(j,i,sr)
	992	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	993	( kh(k,j,i) + kh(k,j-1,i) ) &
	994	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	995	* ddy * rmask(j,i,sr)
	996	!
	997	!-- Resolved horizontal heat fluxes upt, vpt
	998	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	999	( u(k,j,i) - hom(k,1,1,sr) ) &
	1000	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	1001	pt(k,j,i) - hom(k,1,4,sr) )
	1002	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	1003	pt(k,j,i) - hom(k,1,4,sr) )
	1004	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	1005	( v(k,j,i) - hom(k,1,2,sr) ) &
	1006	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	1007	pt(k,j,i) - hom(k,1,4,sr) )
	1008	ENDDO
	1009	ENDDO
	1010	ENDDO
	1011	!
	1012	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
[97]	1013	sums_l(nzb,58,tn) = 0.0
	1014	sums_l(nzb,59,tn) = 0.0
	1015	sums_l(nzb,60,tn) = 0.0
	1016	sums_l(nzb,61,tn) = 0.0
	1017	sums_l(nzb,62,tn) = 0.0
	1018	sums_l(nzb,63,tn) = 0.0
[1]	1019
	1020	ENDIF
[87]	1021
	1022	!
	1023	!-- Calculate the user-defined profiles
	1024	CALL user_statistics( 'profiles', sr, tn )
[1]	1025	!$OMP END PARALLEL
	1026
	1027	!
	1028	!-- Summation of thread sums
	1029	IF ( threads_per_task > 1 ) THEN
	1030	DO i = 1, threads_per_task-1
	1031	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	1032	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
[87]	1033	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	1034	sums_l(:,45:pr_palm,i)
	1035	IF ( max_pr_user > 0 ) THEN
	1036	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	1037	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	1038	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	1039	ENDIF
[1]	1040	ENDDO
	1041	ENDIF
	1042
	1043	#if defined( __parallel )
[667]	1044
[1]	1045	!
	1046	!-- Compute total sum from local sums
[622]	1047	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	1048	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	1049	MPI_SUM, comm2d, ierr )
	1050	#else
	1051	sums = sums_l(:,:,0)
	1052	#endif
	1053
	1054	!
	1055	!-- Final values are obtained by division by the total number of grid points
	1056	!-- used for summation. After that store profiles.
	1057	!-- Profiles:
	1058	DO k = nzb, nzt+1
[132]	1059	sums(k,3) = sums(k,3) / ngp_2dh(sr)
[142]	1060	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
[132]	1061	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
	1062	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
	1063	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
[142]	1064	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
	1065	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
[132]	1066	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
	1067	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
	1068	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
	1069	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
	1070	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
	1071	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
	1072	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
[1]	1073	ENDDO
[667]	1074
[1]	1075	!-- Upstream-parts
[87]	1076	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
[1]	1077	!-- u* and so on
[87]	1078	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
[1]	1079	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	1080	!-- above the topography, they are being divided by ngp_2dh(sr)
[87]	1081	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
[1]	1082	ngp_2dh(sr)
[197]	1083	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
	1084	ngp_2dh(sr)
[1]	1085	!-- eges, e*
[87]	1086	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
[132]	1087	ngp_3d(sr)
[1]	1088	!-- Old and new divergence
[87]	1089	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
[1]	1090	ngp_3d_inner(sr)
	1091
[87]	1092	!-- User-defined profiles
	1093	IF ( max_pr_user > 0 ) THEN
	1094	DO k = nzb, nzt+1
	1095	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	1096	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
[132]	1097	ngp_2dh_s_inner(k,sr)
[87]	1098	ENDDO
	1099	ENDIF
[1007]	1100
[1]	1101	!
	1102	!-- Collect horizontal average in hom.
	1103	!-- Compute deduced averages (e.g. total heat flux)
	1104	hom(:,1,3,sr) = sums(:,3) ! w
	1105	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	1106	hom(:,1,9,sr) = sums(:,9) ! km
	1107	hom(:,1,10,sr) = sums(:,10) ! kh
	1108	hom(:,1,11,sr) = sums(:,11) ! l
	1109	hom(:,1,12,sr) = sums(:,12) ! w"u"
	1110	hom(:,1,13,sr) = sums(:,13) ! wu
	1111	hom(:,1,14,sr) = sums(:,14) ! w"v"
	1112	hom(:,1,15,sr) = sums(:,15) ! wv
	1113	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	1114	hom(:,1,17,sr) = sums(:,17) ! wpt
	1115	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	1116	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	1117	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	1118	hom(:,1,21,sr) = sums(:,21) ! wptBC
	1119	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
[96]	1120	! profile 24 is initial profile (sa)
	1121	! profiles 25-29 left empty for initial
[1]	1122	! profiles
	1123	hom(:,1,30,sr) = sums(:,30) ! u*2
	1124	hom(:,1,31,sr) = sums(:,31) ! v*2
	1125	hom(:,1,32,sr) = sums(:,32) ! w*2
	1126	hom(:,1,33,sr) = sums(:,33) ! pt*2
	1127	hom(:,1,34,sr) = sums(:,34) ! e*
	1128	hom(:,1,35,sr) = sums(:,35) ! w2pt
	1129	hom(:,1,36,sr) = sums(:,36) ! wpt2
	1130	hom(:,1,37,sr) = sums(:,37) ! we
	1131	hom(:,1,38,sr) = sums(:,38) ! w*3
[699]	1132	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
[1]	1133	hom(:,1,40,sr) = sums(:,40) ! p
[531]	1134	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
[1]	1135	hom(:,1,46,sr) = sums(:,46) ! wvpt
	1136	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	1137	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	1138	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	1139	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	1140	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	1141	hom(:,1,52,sr) = sums(:,52) ! wqv
	1142	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	1143	hom(:,1,54,sr) = sums(:,54) ! ql
	1144	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	1145	hom(:,1,56,sr) = sums(:,56) ! wp/dz
[106]	1146	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
[1]	1147	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	1148	hom(:,1,59,sr) = sums(:,59) ! upt
	1149	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	1150	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	1151	hom(:,1,62,sr) = sums(:,62) ! vpt
	1152	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
[96]	1153	hom(:,1,64,sr) = sums(:,64) ! rho
	1154	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	1155	hom(:,1,66,sr) = sums(:,66) ! wsa
	1156	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
[106]	1157	hom(:,1,68,sr) = sums(:,68) ! wp
	1158	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
[197]	1159	hom(:,1,70,sr) = sums(:,70) ! q*2
[388]	1160	hom(:,1,71,sr) = sums(:,71) ! prho
[531]	1161	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
[1053]	1162	hom(:,1,73,sr) = sums(:,73) ! nr
	1163	hom(:,1,74,sr) = sums(:,74) ! qr
	1164	hom(:,1,75,sr) = sums(:,75) ! qc
	1165	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
[1179]	1166	! 77 is initial density profile
[1241]	1167	hom(:,1,78,sr) = ug ! ug
	1168	hom(:,1,79,sr) = vg ! vg
[1299]	1169	hom(:,1,80,sr) = w_subs ! w_subs
[1]	1170
[87]	1171	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
[1]	1172	! upstream-parts u_x, u_y, u_z, v_x,
	1173	! v_y, usw. (in last but one profile)
[667]	1174	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
[1]	1175	! u, w'u', w'v', t (in last profile)
	1176
[87]	1177	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	1178	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	1179	sums(:,pr_palm+1:pr_palm+max_pr_user)
	1180	ENDIF
	1181
[1]	1182	!
	1183	!-- Determine the boundary layer height using two different schemes.
[94]	1184	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	1185	!-- first relative minimum (maximum) of the total heat flux.
	1186	!-- The corresponding height is assumed as the boundary layer height, if it
	1187	!-- is less than 1.5 times the height where the heat flux becomes negative
	1188	!-- (positive) for the first time.
[1]	1189	z_i(1) = 0.0
	1190	first = .TRUE.
[667]	1191
[97]	1192	IF ( ocean ) THEN
	1193	DO k = nzt, nzb+1, -1
[667]	1194	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1195	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
[97]	1196	first = .FALSE.
	1197	height = zw(k)
	1198	ENDIF
	1199	IF ( hom(k,1,18,sr) < 0.0 .AND. &
[667]	1200	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[97]	1201	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1202	IF ( zw(k) < 1.5 * height ) THEN
	1203	z_i(1) = zw(k)
	1204	ELSE
	1205	z_i(1) = height
	1206	ENDIF
	1207	EXIT
	1208	ENDIF
	1209	ENDDO
	1210	ELSE
[94]	1211	DO k = nzb, nzt-1
[667]	1212	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1213	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
[94]	1214	first = .FALSE.
	1215	height = zw(k)
[1]	1216	ENDIF
[667]	1217	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	1218	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[94]	1219	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1220	IF ( zw(k) < 1.5 * height ) THEN
	1221	z_i(1) = zw(k)
	1222	ELSE
	1223	z_i(1) = height
	1224	ENDIF
	1225	EXIT
	1226	ENDIF
	1227	ENDDO
[97]	1228	ENDIF
[1]	1229
	1230	!
[291]	1231	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
	1232	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
	1233	!-- maximal local temperature gradient: starting from the second (the last
	1234	!-- but one) vertical gridpoint, the local gradient must be at least
	1235	!-- 0.2K/100m and greater than the next four gradients.
	1236	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
	1237	!-- ocean case!
[1]	1238	z_i(2) = 0.0
[291]	1239	DO k = nzb+1, nzt+1
	1240	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
	1241	ENDDO
	1242	dptdz_threshold = 0.2 / 100.0
	1243
[97]	1244	IF ( ocean ) THEN
[291]	1245	DO k = nzt+1, nzb+5, -1
	1246	IF ( dptdz(k) > dptdz_threshold .AND. &
	1247	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
	1248	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
	1249	z_i(2) = zw(k-1)
[97]	1250	EXIT
	1251	ENDIF
	1252	ENDDO
	1253	ELSE
[291]	1254	DO k = nzb+1, nzt-3
	1255	IF ( dptdz(k) > dptdz_threshold .AND. &
	1256	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
	1257	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
	1258	z_i(2) = zw(k-1)
[97]	1259	EXIT
	1260	ENDIF
	1261	ENDDO
	1262	ENDIF
[1]	1263
[87]	1264	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	1265	hom(nzb+7,1,pr_palm,sr) = z_i(2)
[1]	1266
	1267	!
	1268	!-- Computation of both the characteristic vertical velocity and
	1269	!-- the characteristic convective boundary layer temperature.
	1270	!-- The horizontal average at nzb+1 is input for the average temperature.
[667]	1271	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
	1272	.AND. z_i(1) /= 0.0 ) THEN
[87]	1273	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
[94]	1274	hom(nzb,1,18,sr) * &
	1275	ABS( z_i(1) ) )**0.333333333
[1]	1276	!-- so far this only works if Prandtl layer is used
[87]	1277	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
[1]	1278	ELSE
[87]	1279	hom(nzb+8,1,pr_palm,sr) = 0.0
	1280	hom(nzb+11,1,pr_palm,sr) = 0.0
[1]	1281	ENDIF
	1282
[48]	1283	!
	1284	!-- Collect the time series quantities
[87]	1285	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	1286	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
[48]	1287	ts_value(3,sr) = dt_3d
[87]	1288	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	1289	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
[48]	1290	ts_value(6,sr) = u_max
	1291	ts_value(7,sr) = v_max
	1292	ts_value(8,sr) = w_max
[87]	1293	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	1294	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	1295	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	1296	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	1297	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
[48]	1298	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	1299	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	1300	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	1301	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	1302	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
[197]	1303	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
	1304	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
[343]	1305	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
[197]	1306
[48]	1307	IF ( ts_value(5,sr) /= 0.0 ) THEN
	1308	ts_value(22,sr) = ts_value(4,sr)**2 / &
	1309	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	1310	ELSE
	1311	ts_value(22,sr) = 10000.0
	1312	ENDIF
[1]	1313
[343]	1314	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
[1]	1315	!
[48]	1316	!-- Calculate additional statistics provided by the user interface
[87]	1317	CALL user_statistics( 'time_series', sr, 0 )
[1]	1318
[48]	1319	ENDDO ! loop of the subregions
	1320
[1]	1321	!
	1322	!-- If required, sum up horizontal averages for subsequent time averaging
	1323	IF ( do_sum ) THEN
	1324	IF ( average_count_pr == 0 ) hom_sum = 0.0
	1325	hom_sum = hom_sum + hom(:,1,:,:)
	1326	average_count_pr = average_count_pr + 1
	1327	do_sum = .FALSE.
	1328	ENDIF
	1329
	1330	!
	1331	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	1332	!-- This flag is reset after each time step in time_integration.
	1333	flow_statistics_called = .TRUE.
	1334
	1335	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	1336
	1337
	1338	END SUBROUTINE flow_statistics
[1221]	1339
	1340
	1341	#else
	1342
	1343
	1344	!------------------------------------------------------------------------------!
	1345	! flow statistics - accelerator version
	1346	!------------------------------------------------------------------------------!
	1347	SUBROUTINE flow_statistics
	1348
	1349	USE arrays_3d
	1350	USE cloud_parameters
	1351	USE control_parameters
	1352	USE cpulog
	1353	USE grid_variables
	1354	USE indices
	1355	USE interfaces
	1356	USE pegrid
	1357	USE statistics
	1358
	1359	IMPLICIT NONE
	1360
	1361	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
	1362	LOGICAL :: first
	1363	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
	1364	ust2, u2, vst, vst2, v2, w2, z_i(2)
	1365	REAL :: s1, s2, s3, s4, s5, s6, s7
	1366	REAL :: dptdz(nzb+1:nzt+1)
	1367	REAL :: sums_ll(nzb:nzt+1,2)
	1368
	1369	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
	1370
	1371	!
	1372	!-- To be on the safe side, check whether flow_statistics has already been
	1373	!-- called once after the current time step
	1374	IF ( flow_statistics_called ) THEN
	1375
	1376	message_string = 'flow_statistics is called two times within one ' // &
	1377	'timestep'
	1378	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
	1379
	1380	ENDIF
	1381
	1382	!$acc data copyin( hom ) create( sums, sums_l )
	1383
	1384	!
	1385	!-- Compute statistics for each (sub-)region
	1386	DO sr = 0, statistic_regions
	1387
	1388	!
	1389	!-- Initialize (local) summation array
	1390	sums_l = 0.0
	1391
	1392	!
	1393	!-- Store sums that have been computed in other subroutines in summation
	1394	!-- array
	1395	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
	1396	!-- WARNING: next line still has to be adjusted for OpenMP
	1397	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
	1398	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
	1399	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
	1400
	1401	!
	1402	!-- Copy the turbulent quantities, evaluated in the advection routines to
	1403	!-- the local array sums_l() for further computations
	1404	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
	1405
	1406	!
	1407	!-- According to the Neumann bc for the horizontal velocity components,
	1408	!-- the corresponding fluxes has to satisfiy the same bc.
	1409	IF ( ocean ) THEN
	1410	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
	1411	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
	1412	ENDIF
	1413
	1414	DO i = 0, threads_per_task-1
	1415	!
	1416	!-- Swap the turbulent quantities evaluated in advec_ws.
	1417	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
	1418	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
	1419	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
	1420	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
	1421	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
	1422	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
	1423	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
	1424	sums_ws2_ws_l(:,i) ) ! e*
	1425	DO k = nzb, nzt
	1426	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
	1427	sums_us2_ws_l(k,i) + &
	1428	sums_vs2_ws_l(k,i) + &
	1429	sums_ws2_ws_l(k,i) )
	1430	ENDDO
	1431	ENDDO
	1432
	1433	ENDIF
	1434
	1435	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
	1436
	1437	DO i = 0, threads_per_task-1
	1438	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
	1439	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
	1440	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
	1441	sums_wsqs_ws_l(:,i) !wq
	1442	ENDDO
	1443
	1444	ENDIF
	1445	!
	1446	!-- Horizontally averaged profiles of horizontal velocities and temperature.
	1447	!-- They must have been computed before, because they are already required
	1448	!-- for other horizontal averages.
	1449	tn = 0
	1450
	1451	!$OMP PARALLEL PRIVATE( i, j, k, tn )
	1452	#if defined( __intel_openmp_bug )
	1453	tn = omp_get_thread_num()
	1454	#else
	1455	!$ tn = omp_get_thread_num()
	1456	#endif
	1457
	1458	!$acc update device( sums_l )
	1459
	1460	!$OMP DO
	1461	!$acc parallel loop gang present( pt, rflags_invers, rmask, sums_l, u, v ) create( s1, s2, s3 )
	1462	DO k = nzb, nzt+1
	1463	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
	1464	DO i = nxl, nxr
	1465	DO j = nys, nyn
	1466	!
	1467	!-- k+1 is used in rflags since rflags is set 0 at surface points
	1468	s1 = s1 + u(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1469	s2 = s2 + v(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1470	s3 = s3 + pt(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1471	ENDDO
	1472	ENDDO
	1473	sums_l(k,1,tn) = s1
	1474	sums_l(k,2,tn) = s2
	1475	sums_l(k,4,tn) = s3
	1476	ENDDO
[1257]	1477	!$acc end parallel loop
[1221]	1478
	1479	!
	1480	!-- Horizontally averaged profile of salinity
	1481	IF ( ocean ) THEN
	1482	!$OMP DO
	1483	!$acc parallel loop gang present( rflags_invers, rmask, sums_l, sa ) create( s1 )
	1484	DO k = nzb, nzt+1
	1485	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1486	DO i = nxl, nxr
	1487	DO j = nys, nyn
	1488	s1 = s1 + sa(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1489	ENDDO
	1490	ENDDO
	1491	sums_l(k,23,tn) = s1
	1492	ENDDO
[1257]	1493	!$acc end parallel loop
[1221]	1494	ENDIF
	1495
	1496	!
	1497	!-- Horizontally averaged profiles of virtual potential temperature,
	1498	!-- total water content, specific humidity and liquid water potential
	1499	!-- temperature
	1500	IF ( humidity ) THEN
	1501
	1502	!$OMP DO
	1503	!$acc parallel loop gang present( q, rflags_invers, rmask, sums_l, vpt ) create( s1, s2 )
	1504	DO k = nzb, nzt+1
	1505	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	1506	DO i = nxl, nxr
	1507	DO j = nys, nyn
	1508	s1 = s1 + q(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1509	s2 = s2 + vpt(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1510	ENDDO
	1511	ENDDO
	1512	sums_l(k,41,tn) = s1
	1513	sums_l(k,44,tn) = s2
	1514	ENDDO
[1257]	1515	!$acc end parallel loop
[1221]	1516
	1517	IF ( cloud_physics ) THEN
	1518	!$OMP DO
	1519	!$acc parallel loop gang present( pt, q, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
	1520	DO k = nzb, nzt+1
	1521	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	1522	DO i = nxl, nxr
	1523	DO j = nys, nyn
	1524	s1 = s1 + ( q(k,j,i) - ql(k,j,i) ) * &
	1525	rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1526	s2 = s2 + ( pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) ) * &
	1527	rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1528	ENDDO
	1529	ENDDO
	1530	sums_l(k,42,tn) = s1
	1531	sums_l(k,43,tn) = s2
	1532	ENDDO
[1257]	1533	!$acc end parallel loop
[1221]	1534	ENDIF
	1535	ENDIF
	1536
	1537	!
	1538	!-- Horizontally averaged profiles of passive scalar
	1539	IF ( passive_scalar ) THEN
	1540	!$OMP DO
	1541	!$acc parallel loop gang present( q, rflags_invers, rmask, sums_l ) create( s1 )
	1542	DO k = nzb, nzt+1
	1543	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1544	DO i = nxl, nxr
	1545	DO j = nys, nyn
	1546	s1 = s1 + q(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1547	ENDDO
	1548	ENDDO
	1549	sums_l(k,41,tn) = s1
	1550	ENDDO
[1257]	1551	!$acc end parallel loop
[1221]	1552	ENDIF
	1553	!$OMP END PARALLEL
	1554
	1555	!
	1556	!-- Summation of thread sums
	1557	IF ( threads_per_task > 1 ) THEN
	1558	DO i = 1, threads_per_task-1
	1559	!$acc parallel present( sums_l )
	1560	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
	1561	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
	1562	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
	1563	!$acc end parallel
	1564	IF ( ocean ) THEN
	1565	!$acc parallel present( sums_l )
	1566	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
	1567	!$acc end parallel
	1568	ENDIF
	1569	IF ( humidity ) THEN
	1570	!$acc parallel present( sums_l )
	1571	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	1572	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
	1573	!$acc end parallel
	1574	IF ( cloud_physics ) THEN
	1575	!$acc parallel present( sums_l )
	1576	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
	1577	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
	1578	!$acc end parallel
	1579	ENDIF
	1580	ENDIF
	1581	IF ( passive_scalar ) THEN
	1582	!$acc parallel present( sums_l )
	1583	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	1584	!$acc end parallel
	1585	ENDIF
	1586	ENDDO
	1587	ENDIF
	1588
	1589	#if defined( __parallel )
	1590	!
	1591	!-- Compute total sum from local sums
	1592	!$acc update host( sums_l )
	1593	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1594	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
	1595	MPI_SUM, comm2d, ierr )
	1596	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1597	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
	1598	MPI_SUM, comm2d, ierr )
	1599	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1600	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
	1601	MPI_SUM, comm2d, ierr )
	1602	IF ( ocean ) THEN
	1603	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1604	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
	1605	MPI_REAL, MPI_SUM, comm2d, ierr )
	1606	ENDIF
	1607	IF ( humidity ) THEN
	1608	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1609	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
	1610	MPI_REAL, MPI_SUM, comm2d, ierr )
	1611	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1612	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	1613	MPI_REAL, MPI_SUM, comm2d, ierr )
	1614	IF ( cloud_physics ) THEN
	1615	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1616	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
	1617	MPI_REAL, MPI_SUM, comm2d, ierr )
	1618	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1619	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
	1620	MPI_REAL, MPI_SUM, comm2d, ierr )
	1621	ENDIF
	1622	ENDIF
	1623
	1624	IF ( passive_scalar ) THEN
	1625	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1626	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	1627	MPI_REAL, MPI_SUM, comm2d, ierr )
	1628	ENDIF
	1629	!$acc update device( sums )
	1630	#else
	1631	!$acc parallel present( sums, sums_l )
	1632	sums(:,1) = sums_l(:,1,0)
	1633	sums(:,2) = sums_l(:,2,0)
	1634	sums(:,4) = sums_l(:,4,0)
	1635	!$acc end parallel
	1636	IF ( ocean ) THEN
	1637	!$acc parallel present( sums, sums_l )
	1638	sums(:,23) = sums_l(:,23,0)
	1639	!$acc end parallel
	1640	ENDIF
	1641	IF ( humidity ) THEN
	1642	!$acc parallel present( sums, sums_l )
	1643	sums(:,44) = sums_l(:,44,0)
	1644	sums(:,41) = sums_l(:,41,0)
	1645	!$acc end parallel
	1646	IF ( cloud_physics ) THEN
	1647	!$acc parallel present( sums, sums_l )
	1648	sums(:,42) = sums_l(:,42,0)
	1649	sums(:,43) = sums_l(:,43,0)
	1650	!$acc end parallel
	1651	ENDIF
	1652	ENDIF
	1653	IF ( passive_scalar ) THEN
	1654	!$acc parallel present( sums, sums_l )
	1655	sums(:,41) = sums_l(:,41,0)
	1656	!$acc end parallel
	1657	ENDIF
	1658	#endif
	1659
	1660	!
	1661	!-- Final values are obtained by division by the total number of grid points
	1662	!-- used for summation. After that store profiles.
	1663	!$acc parallel present( hom, ngp_2dh, ngp_2dh_s_inner, sums )
	1664	sums(:,1) = sums(:,1) / ngp_2dh(sr)
	1665	sums(:,2) = sums(:,2) / ngp_2dh(sr)
	1666	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
	1667	hom(:,1,1,sr) = sums(:,1) ! u
	1668	hom(:,1,2,sr) = sums(:,2) ! v
	1669	hom(:,1,4,sr) = sums(:,4) ! pt
	1670	!$acc end parallel
	1671
	1672	!
	1673	!-- Salinity
	1674	IF ( ocean ) THEN
	1675	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
	1676	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
	1677	hom(:,1,23,sr) = sums(:,23) ! sa
	1678	!$acc end parallel
	1679	ENDIF
	1680
	1681	!
	1682	!-- Humidity and cloud parameters
	1683	IF ( humidity ) THEN
	1684	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
	1685	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
	1686	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
	1687	hom(:,1,44,sr) = sums(:,44) ! vpt
	1688	hom(:,1,41,sr) = sums(:,41) ! qv (q)
	1689	!$acc end parallel
	1690	IF ( cloud_physics ) THEN
	1691	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
	1692	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
	1693	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
	1694	hom(:,1,42,sr) = sums(:,42) ! qv
	1695	hom(:,1,43,sr) = sums(:,43) ! pt
	1696	!$acc end parallel
	1697	ENDIF
	1698	ENDIF
	1699
	1700	!
	1701	!-- Passive scalar
	1702	IF ( passive_scalar ) THEN
	1703	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
	1704	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
	1705	hom(:,1,41,sr) = sums(:,41) ! s (q)
	1706	!$acc end parallel
	1707	ENDIF
	1708
	1709	!
	1710	!-- Horizontally averaged profiles of the remaining prognostic variables,
	1711	!-- variances, the total and the perturbation energy (single values in last
	1712	!-- column of sums_l) and some diagnostic quantities.
	1713	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
	1714	!-- ---- speaking the following k-loop would have to be split up and
	1715	!-- rearranged according to the staggered grid.
	1716	!-- However, this implies no error since staggered velocity components
	1717	!-- are zero at the walls and inside buildings.
	1718	tn = 0
	1719	#if defined( __intel_openmp_bug )
	1720	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
	1721	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
	1722	tn = omp_get_thread_num()
	1723	#else
	1724	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
	1725	!$ tn = omp_get_thread_num()
	1726	#endif
	1727	!$OMP DO
	1728	!$acc parallel loop gang present( e, hom, kh, km, p, pt, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3, s4, s5, s6, s7 )
	1729	DO k = nzb, nzt+1
	1730	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5, s6, s7 )
	1731	DO i = nxl, nxr
	1732	DO j = nys, nyn
	1733	!
	1734	!-- Prognostic and diagnostic variables
	1735	s1 = s1 + w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1736	s2 = s2 + e(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1737	s3 = s3 + km(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1738	s4 = s4 + kh(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1739	s5 = s5 + p(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1740	s6 = s6 + ( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr) * &
	1741	rflags_invers(j,i,k+1)
	1742	!
	1743	!-- Higher moments
	1744	!-- (Computation of the skewness of w further below)
	1745	s7 = s7 + w(k,j,i)*3 rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1746	ENDDO
	1747	ENDDO
	1748	sums_l(k,3,tn) = s1
	1749	sums_l(k,8,tn) = s2
	1750	sums_l(k,9,tn) = s3
	1751	sums_l(k,10,tn) = s4
	1752	sums_l(k,40,tn) = s5
	1753	sums_l(k,33,tn) = s6
	1754	sums_l(k,38,tn) = s7
	1755	ENDDO
[1257]	1756	!$acc end parallel loop
[1221]	1757
	1758	IF ( humidity ) THEN
	1759	!$OMP DO
	1760	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l ) create( s1 )
	1761	DO k = nzb, nzt+1
	1762	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1763	DO i = nxl, nxr
	1764	DO j = nys, nyn
	1765	s1 = s1 + ( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr) * &
	1766	rflags_invers(j,i,k+1)
	1767	ENDDO
	1768	ENDDO
	1769	sums_l(k,70,tn) = s1
	1770	ENDDO
[1257]	1771	!$acc end parallel loop
[1221]	1772	ENDIF
	1773
	1774	!
	1775	!-- Total and perturbation energy for the total domain (being
	1776	!-- collected in the last column of sums_l).
	1777	!$OMP DO
	1778	!$acc parallel loop collapse(3) present( rflags_invers, rmask, u, v, w ) reduction(+:s1)
	1779	DO i = nxl, nxr
	1780	DO j = nys, nyn
	1781	DO k = nzb, nzt+1
	1782	s1 = s1 + 0.5 * ( u(k,j,i)2 + v(k,j,i)2 + w(k,j,i)*2 ) &
	1783	rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1784	ENDDO
	1785	ENDDO
	1786	ENDDO
[1257]	1787	!$acc end parallel loop
[1221]	1788	!$acc parallel present( sums_l )
	1789	sums_l(nzb+4,pr_palm,tn) = s1
	1790	!$acc end parallel
	1791
	1792	!$OMP DO
	1793	!$acc parallel present( rmask, sums_l, us, usws, vsws, ts ) create( s1, s2, s3, s4 )
	1794	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
	1795	DO i = nxl, nxr
	1796	DO j = nys, nyn
	1797	!
	1798	!-- 2D-arrays (being collected in the last column of sums_l)
	1799	s1 = s1 + us(j,i) * rmask(j,i,sr)
	1800	s2 = s2 + usws(j,i) * rmask(j,i,sr)
	1801	s3 = s3 + vsws(j,i) * rmask(j,i,sr)
	1802	s4 = s4 + ts(j,i) * rmask(j,i,sr)
	1803	ENDDO
	1804	ENDDO
	1805	sums_l(nzb,pr_palm,tn) = s1
	1806	sums_l(nzb+1,pr_palm,tn) = s2
	1807	sums_l(nzb+2,pr_palm,tn) = s3
	1808	sums_l(nzb+3,pr_palm,tn) = s4
	1809	!$acc end parallel
	1810
	1811	IF ( humidity ) THEN
	1812	!$acc parallel present( qs, rmask, sums_l ) create( s1 )
	1813	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1814	DO i = nxl, nxr
	1815	DO j = nys, nyn
	1816	s1 = s1 + qs(j,i) * rmask(j,i,sr)
	1817	ENDDO
	1818	ENDDO
	1819	sums_l(nzb+12,pr_palm,tn) = s1
	1820	!$acc end parallel
	1821	ENDIF
	1822
	1823	!
	1824	!-- Computation of statistics when ws-scheme is not used. Else these
	1825	!-- quantities are evaluated in the advection routines.
	1826	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
	1827
	1828	!$OMP DO
	1829	!$acc parallel loop gang present( u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3, s4, ust2, vst2, w2 )
	1830	DO k = nzb, nzt+1
	1831	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
	1832	DO i = nxl, nxr
	1833	DO j = nys, nyn
	1834	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
	1835	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
	1836	w2 = w(k,j,i)**2
	1837
	1838	s1 = s1 + ust2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1839	s2 = s2 + vst2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1840	s3 = s3 + w2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1841	!
	1842	!-- Perturbation energy
	1843	s4 = s4 + 0.5 * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * &
	1844	rflags_invers(j,i,k+1)
	1845	ENDDO
	1846	ENDDO
	1847	sums_l(k,30,tn) = s1
	1848	sums_l(k,31,tn) = s2
	1849	sums_l(k,32,tn) = s3
	1850	sums_l(k,34,tn) = s4
	1851	ENDDO
[1257]	1852	!$acc end parallel loop
[1221]	1853	!
	1854	!-- Total perturbation TKE
	1855	!$OMP DO
	1856	!$acc parallel present( sums_l ) create( s1 )
	1857	!$acc loop reduction( +: s1 )
	1858	DO k = nzb, nzt+1
	1859	s1 = s1 + sums_l(k,34,tn)
	1860	ENDDO
	1861	sums_l(nzb+5,pr_palm,tn) = s1
	1862	!$acc end parallel
	1863
	1864	ENDIF
	1865
	1866	!
	1867	!-- Horizontally averaged profiles of the vertical fluxes
	1868
	1869	!
	1870	!-- Subgridscale fluxes.
	1871	!-- WARNING: If a Prandtl-layer is used (k=nzb for flat terrain), the fluxes
	1872	!-- ------- should be calculated there in a different way. This is done
	1873	!-- in the next loop further below, where results from this loop are
	1874	!-- overwritten. However, THIS WORKS IN CASE OF FLAT TERRAIN ONLY!
	1875	!-- The non-flat case still has to be handled.
	1876	!-- NOTE: for simplicity, nzb_s_inner is used below, although
	1877	!-- ---- strictly speaking the following k-loop would have to be
	1878	!-- split up according to the staggered grid.
	1879	!-- However, this implies no error since staggered velocity
	1880	!-- components are zero at the walls and inside buildings.
	1881	!$OMP DO
	1882	!$acc parallel loop gang present( ddzu, kh, km, pt, u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
	1883	DO k = nzb, nzt_diff
	1884	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
	1885	DO i = nxl, nxr
	1886	DO j = nys, nyn
	1887
	1888	!
	1889	!-- Momentum flux w"u"
	1890	s1 = s1 - 0.25 * ( &
	1891	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
	1892	) * ( &
	1893	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	1894	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	1895	) &
	1896	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1897	!
	1898	!-- Momentum flux w"v"
	1899	s2 = s2 - 0.25 * ( &
	1900	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
	1901	) * ( &
	1902	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	1903	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	1904	) &
	1905	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1906	!
	1907	!-- Heat flux w"pt"
	1908	s3 = s3 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	1909	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	1910	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1911	ENDDO
	1912	ENDDO
	1913	sums_l(k,12,tn) = s1
	1914	sums_l(k,14,tn) = s2
	1915	sums_l(k,16,tn) = s3
	1916	ENDDO
[1257]	1917	!$acc end parallel loop
[1221]	1918
	1919	!
	1920	!-- Salinity flux w"sa"
	1921	IF ( ocean ) THEN
	1922	!$acc parallel loop gang present( ddzu, kh, sa, rflags_invers, rmask, sums_l ) create( s1 )
	1923	DO k = nzb, nzt_diff
	1924	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1925	DO i = nxl, nxr
	1926	DO j = nys, nyn
	1927	s1 = s1 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	1928	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	1929	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1930	ENDDO
	1931	ENDDO
	1932	sums_l(k,65,tn) = s1
	1933	ENDDO
[1257]	1934	!$acc end parallel loop
[1221]	1935	ENDIF
	1936
	1937	!
	1938	!-- Buoyancy flux, water flux (humidity flux) w"q"
	1939	IF ( humidity ) THEN
	1940
	1941	!$acc parallel loop gang present( ddzu, kh, q, vpt, rflags_invers, rmask, sums_l ) create( s1, s2 )
	1942	DO k = nzb, nzt_diff
	1943	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	1944	DO i = nxl, nxr
	1945	DO j = nys, nyn
	1946	s1 = s1 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	1947	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	1948	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1949	s2 = s2 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	1950	* ( q(k+1,j,i) - q(k,j,i) ) &
	1951	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1952	ENDDO
	1953	ENDDO
	1954	sums_l(k,45,tn) = s1
	1955	sums_l(k,48,tn) = s2
	1956	ENDDO
[1257]	1957	!$acc end parallel loop
[1221]	1958
	1959	IF ( cloud_physics ) THEN
	1960
	1961	!$acc parallel loop gang present( ddzu, kh, q, ql, rflags_invers, rmask, sums_l ) create( s1 )
	1962	DO k = nzb, nzt_diff
	1963	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1964	DO i = nxl, nxr
	1965	DO j = nys, nyn
	1966	s1 = s1 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	1967	* ( ( q(k+1,j,i) - ql(k+1,j,i) ) &
	1968	- ( q(k,j,i) - ql(k,j,i) ) ) &
	1969	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1970	ENDDO
	1971	ENDDO
	1972	sums_l(k,51,tn) = s1
	1973	ENDDO
[1257]	1974	!$acc end parallel loop
[1221]	1975
	1976	ENDIF
	1977
	1978	ENDIF
	1979	!
	1980	!-- Passive scalar flux
	1981	IF ( passive_scalar ) THEN
	1982
	1983	!$acc parallel loop gang present( ddzu, kh, q, rflags_invers, rmask, sums_l ) create( s1 )
	1984	DO k = nzb, nzt_diff
	1985	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1986	DO i = nxl, nxr
	1987	DO j = nys, nyn
	1988	s1 = s1 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	1989	* ( q(k+1,j,i) - q(k,j,i) ) &
	1990	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1991	ENDDO
	1992	ENDDO
	1993	sums_l(k,48,tn) = s1
	1994	ENDDO
[1257]	1995	!$acc end parallel loop
[1221]	1996
	1997	ENDIF
	1998
	1999	IF ( use_surface_fluxes ) THEN
	2000
	2001	!$OMP DO
	2002	!$acc parallel present( rmask, shf, sums_l, usws, vsws ) create( s1, s2, s3, s4, s5 )
	2003	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
	2004	DO i = nxl, nxr
	2005	DO j = nys, nyn
	2006	!
	2007	!-- Subgridscale fluxes in the Prandtl layer
	2008	s1 = s1 + usws(j,i) * rmask(j,i,sr) ! w"u"
	2009	s2 = s2 + vsws(j,i) * rmask(j,i,sr) ! w"v"
	2010	s3 = s3 + shf(j,i) * rmask(j,i,sr) ! w"pt"
	2011	s4 = s4 + 0.0 * rmask(j,i,sr) ! u"pt"
	2012	s5 = s5 + 0.0 * rmask(j,i,sr) ! v"pt"
	2013	ENDDO
	2014	ENDDO
	2015	sums_l(nzb,12,tn) = s1
	2016	sums_l(nzb,14,tn) = s2
	2017	sums_l(nzb,16,tn) = s3
	2018	sums_l(nzb,58,tn) = s4
	2019	sums_l(nzb,61,tn) = s5
	2020	!$acc end parallel
	2021
	2022	IF ( ocean ) THEN
	2023
	2024	!$OMP DO
	2025	!$acc parallel present( rmask, saswsb, sums_l ) create( s1 )
	2026	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2027	DO i = nxl, nxr
	2028	DO j = nys, nyn
	2029	s1 = s1 + saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	2030	ENDDO
	2031	ENDDO
	2032	sums_l(nzb,65,tn) = s1
	2033	!$acc end parallel
	2034
	2035	ENDIF
	2036
	2037	IF ( humidity ) THEN
	2038
	2039	!$OMP DO
	2040	!$acc parallel present( pt, q, qsws, rmask, shf, sums_l ) create( s1, s2 )
	2041	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	2042	DO i = nxl, nxr
	2043	DO j = nys, nyn
	2044	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	2045	s2 = s2 + ( ( 1.0 + 0.61 * q(nzb,j,i) ) * shf(j,i) &
	2046	+ 0.61 * pt(nzb,j,i) * qsws(j,i) )
	2047	ENDDO
	2048	ENDDO
	2049	sums_l(nzb,48,tn) = s1
	2050	sums_l(nzb,45,tn) = s2
	2051	!$acc end parallel
	2052
	2053	IF ( cloud_droplets ) THEN
	2054
	2055	!$OMP DO
	2056	!$acc parallel present( pt, q, ql, qsws, rmask, shf, sums_l ) create( s1 )
	2057	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2058	DO i = nxl, nxr
	2059	DO j = nys, nyn
	2060	s1 = s1 + ( ( 1.0 + 0.61 * q(nzb,j,i) - ql(nzb,j,i) ) * &
	2061	shf(j,i) + 0.61 * pt(nzb,j,i) * qsws(j,i) )
	2062	ENDDO
	2063	ENDDO
	2064	sums_l(nzb,45,tn) = s1
	2065	!$acc end parallel
	2066
	2067	ENDIF
	2068
	2069	IF ( cloud_physics ) THEN
	2070
	2071	!$OMP DO
	2072	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
	2073	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2074	DO i = nxl, nxr
	2075	DO j = nys, nyn
	2076	!
	2077	!-- Formula does not work if ql(nzb) /= 0.0
	2078	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	2079	ENDDO
	2080	ENDDO
	2081	sums_l(nzb,51,tn) = s1
	2082	!$acc end parallel
	2083
	2084	ENDIF
	2085
	2086	ENDIF
	2087
	2088	IF ( passive_scalar ) THEN
	2089
	2090	!$OMP DO
	2091	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
	2092	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2093	DO i = nxl, nxr
	2094	DO j = nys, nyn
	2095	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	2096	ENDDO
	2097	ENDDO
	2098	sums_l(nzb,48,tn) = s1
	2099	!$acc end parallel
	2100
	2101	ENDIF
	2102
	2103	ENDIF
	2104
	2105	!
	2106	!-- Subgridscale fluxes at the top surface
	2107	IF ( use_top_fluxes ) THEN
	2108
	2109	!$OMP DO
	2110	!$acc parallel present( rmask, sums_l, tswst, uswst, vswst ) create( s1, s2, s3, s4, s5 )
	2111	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
	2112	DO i = nxl, nxr
	2113	DO j = nys, nyn
	2114	s1 = s1 + uswst(j,i) * rmask(j,i,sr) ! w"u"
	2115	s2 = s2 + vswst(j,i) * rmask(j,i,sr) ! w"v"
	2116	s3 = s3 + tswst(j,i) * rmask(j,i,sr) ! w"pt"
	2117	s4 = s4 + 0.0 * rmask(j,i,sr) ! u"pt"
	2118	s5 = s5 + 0.0 * rmask(j,i,sr) ! v"pt"
	2119	ENDDO
	2120	ENDDO
	2121	sums_l(nzt:nzt+1,12,tn) = s1
	2122	sums_l(nzt:nzt+1,14,tn) = s2
	2123	sums_l(nzt:nzt+1,16,tn) = s3
	2124	sums_l(nzt:nzt+1,58,tn) = s4
	2125	sums_l(nzt:nzt+1,61,tn) = s5
	2126	!$acc end parallel
	2127
	2128	IF ( ocean ) THEN
	2129
	2130	!$OMP DO
	2131	!$acc parallel present( rmask, saswst, sums_l ) create( s1 )
	2132	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2133	DO i = nxl, nxr
	2134	DO j = nys, nyn
	2135	s1 = s1 + saswst(j,i) * rmask(j,i,sr) ! w"sa"
	2136	ENDDO
	2137	ENDDO
	2138	sums_l(nzt,65,tn) = s1
	2139	!$acc end parallel
	2140
	2141	ENDIF
	2142
	2143	IF ( humidity ) THEN
	2144
	2145	!$OMP DO
	2146	!$acc parallel present( pt, q, qswst, rmask, tswst, sums_l ) create( s1, s2 )
	2147	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	2148	DO i = nxl, nxr
	2149	DO j = nys, nyn
	2150	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	2151	s2 = s2 + ( ( 1.0 + 0.61 * q(nzt,j,i) ) * tswst(j,i) + &
	2152	0.61 * pt(nzt,j,i) * qswst(j,i) )
	2153	ENDDO
	2154	ENDDO
	2155	sums_l(nzt,48,tn) = s1
	2156	sums_l(nzt,45,tn) = s2
	2157	!$acc end parallel
	2158
	2159	IF ( cloud_droplets ) THEN
	2160
	2161	!$OMP DO
	2162	!$acc parallel present( pt, q, ql, qswst, rmask, tswst, sums_l ) create( s1 )
	2163	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2164	DO i = nxl, nxr
	2165	DO j = nys, nyn
	2166	s1 = s1 + ( ( 1.0 + 0.61 * q(nzt,j,i) - ql(nzt,j,i) ) * &
	2167	tswst(j,i) + 0.61 * pt(nzt,j,i) * qswst(j,i) )
	2168	ENDDO
	2169	ENDDO
	2170	sums_l(nzt,45,tn) = s1
	2171	!$acc end parallel
	2172
	2173	ENDIF
	2174
	2175	IF ( cloud_physics ) THEN
	2176
	2177	!$OMP DO
	2178	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
	2179	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2180	DO i = nxl, nxr
	2181	DO j = nys, nyn
	2182	!
	2183	!-- Formula does not work if ql(nzb) /= 0.0
	2184	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	2185	ENDDO
	2186	ENDDO
	2187	sums_l(nzt,51,tn) = s1
	2188	!$acc end parallel
	2189
	2190	ENDIF
	2191
	2192	ENDIF
	2193
	2194	IF ( passive_scalar ) THEN
	2195
	2196	!$OMP DO
	2197	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
	2198	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2199	DO i = nxl, nxr
	2200	DO j = nys, nyn
	2201	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	2202	ENDDO
	2203	ENDDO
	2204	sums_l(nzt,48,tn) = s1
	2205	!$acc end parallel
	2206
	2207	ENDIF
	2208
	2209	ENDIF
	2210
	2211	!
	2212	!-- Resolved fluxes (can be computed for all horizontal points)
	2213	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
	2214	!-- ---- speaking the following k-loop would have to be split up and
	2215	!-- rearranged according to the staggered grid.
	2216	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2, s3 )
	2217	DO k = nzb, nzt_diff
	2218	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
	2219	DO i = nxl, nxr
	2220	DO j = nys, nyn
	2221	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	2222	u(k+1,j,i) - hom(k+1,1,1,sr) )
	2223	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	2224	v(k+1,j,i) - hom(k+1,1,2,sr) )
	2225	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	2226	pt(k+1,j,i) - hom(k+1,1,4,sr) )
	2227	!
	2228	!-- Higher moments
	2229	s1 = s1 + pts * w(k,j,i)*2 rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2230	s2 = s2 + pts*2 w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2231	!
	2232	!-- Energy flux we (has to be adjusted?)
	2233	s3 = s3 + w(k,j,i) * 0.5 * ( ust2 + vst2 + w(k,j,i)**2 ) &
	2234	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2235	ENDDO
	2236	ENDDO
	2237	sums_l(k,35,tn) = s1
	2238	sums_l(k,36,tn) = s2
	2239	sums_l(k,37,tn) = s3
	2240	ENDDO
[1257]	2241	!$acc end parallel loop
[1221]	2242
	2243	!
	2244	!-- Salinity flux and density (density does not belong to here,
	2245	!-- but so far there is no other suitable place to calculate)
	2246	IF ( ocean ) THEN
	2247
	2248	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	2249
	2250	!$acc parallel loop gang present( hom, rflags_invers, rmask, sa, sums_l, w ) create( s1 )
	2251	DO k = nzb, nzt_diff
	2252	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2253	DO i = nxl, nxr
	2254	DO j = nys, nyn
	2255	s1 = s1 + 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
	2256	sa(k+1,j,i) - hom(k+1,1,23,sr) ) &
	2257	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2258	ENDDO
	2259	ENDDO
	2260	sums_l(k,66,tn) = s1
	2261	ENDDO
[1257]	2262	!$acc end parallel loop
[1221]	2263
	2264	ENDIF
	2265
	2266	!$acc parallel loop gang present( rflags_invers, rho, prho, rmask, sums_l ) create( s1, s2 )
	2267	DO k = nzb, nzt_diff
	2268	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	2269	DO i = nxl, nxr
	2270	DO j = nys, nyn
	2271	s1 = s1 + rho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2272	s2 = s2 + prho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2273	ENDDO
	2274	ENDDO
	2275	sums_l(k,64,tn) = s1
	2276	sums_l(k,71,tn) = s2
	2277	ENDDO
[1257]	2278	!$acc end parallel loop
[1221]	2279
	2280	ENDIF
	2281
	2282	!
	2283	!-- Buoyancy flux, water flux, humidity flux, liquid water
	2284	!-- content, rain drop concentration and rain water content
	2285	IF ( humidity ) THEN
	2286
	2287	IF ( cloud_physics .OR. cloud_droplets ) THEN
	2288
	2289	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
	2290	DO k = nzb, nzt_diff
	2291	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2292	DO i = nxl, nxr
	2293	DO j = nys, nyn
	2294	s1 = s1 + 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	2295	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) * &
	2296	w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2297	ENDDO
	2298	ENDDO
	2299	sums_l(k,46,tn) = s1
	2300	ENDDO
[1257]	2301	!$acc end parallel loop
[1221]	2302
	2303	IF ( .NOT. cloud_droplets ) THEN
	2304
	2305	!$acc parallel loop gang present( hom, q, ql, rflags_invers, rmask, sums_l, w ) create( s1 )
	2306	DO k = nzb, nzt_diff
	2307	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2308	DO i = nxl, nxr
	2309	DO j = nys, nyn
	2310	s1 = s1 + 0.5 * ( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) + &
	2311	( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) ) &
	2312	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2313	ENDDO
	2314	ENDDO
	2315	sums_l(k,52,tn) = s1
	2316	ENDDO
[1257]	2317	!$acc end parallel loop
[1221]	2318
	2319	IF ( icloud_scheme == 0 ) THEN
	2320
	2321	!$acc parallel loop gang present( qc, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
	2322	DO k = nzb, nzt_diff
	2323	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	2324	DO i = nxl, nxr
	2325	DO j = nys, nyn
	2326	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2327	s2 = s2 + qc(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2328	ENDDO
	2329	ENDDO
	2330	sums_l(k,54,tn) = s1
	2331	sums_l(k,75,tn) = s2
	2332	ENDDO
[1257]	2333	!$acc end parallel loop
[1221]	2334
	2335	IF ( precipitation ) THEN
	2336
	2337	!$acc parallel loop gang present( nr, qr, prr, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
	2338	DO k = nzb, nzt_diff
	2339	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
	2340	DO i = nxl, nxr
	2341	DO j = nys, nyn
	2342	s1 = s1 + nr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2343	s2 = s2 + qr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2344	s3 = s3 + prr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2345	ENDDO
	2346	ENDDO
	2347	sums_l(k,73,tn) = s1
	2348	sums_l(k,74,tn) = s2
	2349	sums_l(k,76,tn) = s3
	2350	ENDDO
[1257]	2351	!$acc end parallel loop
[1221]	2352
	2353	ENDIF
	2354
	2355	ELSE
	2356
	2357	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
	2358	DO k = nzb, nzt_diff
	2359	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2360	DO i = nxl, nxr
	2361	DO j = nys, nyn
	2362	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2363	ENDDO
	2364	ENDDO
	2365	sums_l(k,54,tn) = s1
	2366	ENDDO
[1257]	2367	!$acc end parallel loop
[1221]	2368
	2369	ENDIF
	2370
	2371	ELSE
	2372
	2373	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
	2374	DO k = nzb, nzt_diff
	2375	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2376	DO i = nxl, nxr
	2377	DO j = nys, nyn
	2378	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2379	ENDDO
	2380	ENDDO
	2381	sums_l(k,54,tn) = s1
	2382	ENDDO
[1257]	2383	!$acc end parallel loop
[1221]	2384
	2385	ENDIF
	2386
	2387	ELSE
	2388
	2389	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	2390
	2391	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
	2392	DO k = nzb, nzt_diff
	2393	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2394	DO i = nxl, nxr
	2395	DO j = nys, nyn
	2396	s1 = s1 + 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	2397	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) &
	2398	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2399	ENDDO
	2400	ENDDO
	2401	sums_l(k,46,tn) = s1
	2402	ENDDO
[1257]	2403	!$acc end parallel loop
[1221]	2404
	2405	ELSEIF ( ws_scheme_sca .AND. sr == 0 ) THEN
	2406
	2407	!$acc parallel loop present( hom, sums_l )
	2408	DO k = nzb, nzt_diff
	2409	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * sums_l(k,17,tn) + &
	2410	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
	2411	ENDDO
[1257]	2412	!$acc end parallel loop
[1221]	2413
	2414	ENDIF
	2415
	2416	ENDIF
	2417
	2418	ENDIF
	2419	!
	2420	!-- Passive scalar flux
	2421	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca .OR. sr /= 0 ) ) THEN
	2422
	2423	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
	2424	DO k = nzb, nzt_diff
	2425	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2426	DO i = nxl, nxr
	2427	DO j = nys, nyn
	2428	s1 = s1 + 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	2429	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
	2430	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2431	ENDDO
	2432	ENDDO
	2433	sums_l(k,49,tn) = s1
	2434	ENDDO
[1257]	2435	!$acc end parallel loop
[1221]	2436
	2437	ENDIF
	2438
	2439	!
	2440	!-- For speed optimization fluxes which have been computed in part directly
	2441	!-- inside the WS advection routines are treated seperatly
	2442	!-- Momentum fluxes first:
	2443	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
	2444
	2445	!$OMP DO
	2446	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2 )
	2447	DO k = nzb, nzt_diff
	2448	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	2449	DO i = nxl, nxr
	2450	DO j = nys, nyn
	2451	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	2452	u(k+1,j,i) - hom(k+1,1,1,sr) )
	2453	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	2454	v(k+1,j,i) - hom(k+1,1,2,sr) )
	2455	!
	2456	!-- Momentum flux wu
	2457	s1 = s1 + 0.5 * ( w(k,j,i-1) + w(k,j,i) ) &
	2458	* ust * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2459	!
	2460	!-- Momentum flux wv
	2461	s2 = s2 + 0.5 * ( w(k,j-1,i) + w(k,j,i) ) &
	2462	* vst * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2463	ENDDO
	2464	ENDDO
	2465	sums_l(k,13,tn) = s1
	2466	sums_l(k,15,tn) = s1
	2467	ENDDO
[1257]	2468	!$acc end parallel loop
[1221]	2469
	2470	ENDIF
	2471
	2472	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	2473
	2474	!$OMP DO
	2475	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, w ) create( s1 )
	2476	DO k = nzb, nzt_diff
	2477	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2478	DO i = nxl, nxr
	2479	DO j = nys, nyn
	2480	!
	2481	!-- Vertical heat flux
	2482	s1 = s1 + 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	2483	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
	2484	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2485	ENDDO
	2486	ENDDO
	2487	sums_l(k,17,tn) = s1
	2488	ENDDO
[1257]	2489	!$acc end parallel loop
[1221]	2490
	2491	IF ( humidity ) THEN
	2492
	2493	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
	2494	DO k = nzb, nzt_diff
	2495	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2496	DO i = nxl, nxr
	2497	DO j = nys, nyn
	2498	s1 = s1 + 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	2499	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
	2500	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2501	ENDDO
	2502	ENDDO
	2503	sums_l(k,49,tn) = s1
	2504	ENDDO
[1257]	2505	!$acc end parallel loop
[1221]	2506
	2507	ENDIF
	2508
	2509	ENDIF
	2510
	2511
	2512	!
	2513	!-- Density at top follows Neumann condition
	2514	IF ( ocean ) THEN
	2515	!$acc parallel present( sums_l )
	2516	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	2517	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
	2518	!$acc end parallel
	2519	ENDIF
	2520
	2521	!
	2522	!-- Divergence of vertical flux of resolved scale energy and pressure
	2523	!-- fluctuations as well as flux of pressure fluctuation itself (68).
	2524	!-- First calculate the products, then the divergence.
	2525	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
	2526	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
	2527
	2528	STOP '+++ openACC porting for vertical flux div of resolved scale TKE in flow_statistics is still missing'
	2529	sums_ll = 0.0 ! local array
	2530
	2531	!$OMP DO
	2532	DO i = nxl, nxr
	2533	DO j = nys, nyn
	2534	DO k = nzb_s_inner(j,i)+1, nzt
	2535
	2536	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	2537	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
	2538	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
	2539	) )**2 &
	2540	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
	2541	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
	2542	) )**2 &
	2543	+ w(k,j,i)**2 )
	2544
	2545	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	2546	* ( p(k,j,i) + p(k+1,j,i) )
	2547
	2548	ENDDO
	2549	ENDDO
	2550	ENDDO
	2551	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	2552	sums_ll(nzt+1,1) = 0.0
	2553	sums_ll(0,2) = 0.0
	2554	sums_ll(nzt+1,2) = 0.0
	2555
	2556	DO k = nzb+1, nzt
	2557	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	2558	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
	2559	sums_l(k,68,tn) = sums_ll(k,2)
	2560	ENDDO
	2561	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	2562	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
	2563	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
	2564
	2565	ENDIF
	2566
	2567	!
	2568	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
	2569	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
	2570
	2571	STOP '+++ openACC porting for vertical flux div of SGS TKE in flow_statistics is still missing'
	2572	!$OMP DO
	2573	DO i = nxl, nxr
	2574	DO j = nys, nyn
	2575	DO k = nzb_s_inner(j,i)+1, nzt
	2576
	2577	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
	2578	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	2579	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
	2580	) * ddzw(k)
	2581
	2582	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
	2583	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	2584	)
	2585
	2586	ENDDO
	2587	ENDDO
	2588	ENDDO
	2589	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
	2590	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
	2591
	2592	ENDIF
	2593
	2594	!
	2595	!-- Horizontal heat fluxes (subgrid, resolved, total).
	2596	!-- Do it only, if profiles shall be plotted.
	2597	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	2598
	2599	STOP '+++ openACC porting for horizontal flux calculation in flow_statistics is still missing'
	2600	!$OMP DO
	2601	DO i = nxl, nxr
	2602	DO j = nys, nyn
	2603	DO k = nzb_s_inner(j,i)+1, nzt
	2604	!
	2605	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	2606	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	2607	( kh(k,j,i) + kh(k,j,i-1) ) &
	2608	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	2609	* ddx * rmask(j,i,sr)
	2610	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	2611	( kh(k,j,i) + kh(k,j-1,i) ) &
	2612	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	2613	* ddy * rmask(j,i,sr)
	2614	!
	2615	!-- Resolved horizontal heat fluxes upt, vpt
	2616	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	2617	( u(k,j,i) - hom(k,1,1,sr) ) &
	2618	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	2619	pt(k,j,i) - hom(k,1,4,sr) )
	2620	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	2621	pt(k,j,i) - hom(k,1,4,sr) )
	2622	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	2623	( v(k,j,i) - hom(k,1,2,sr) ) &
	2624	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	2625	pt(k,j,i) - hom(k,1,4,sr) )
	2626	ENDDO
	2627	ENDDO
	2628	ENDDO
	2629	!
	2630	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
	2631	sums_l(nzb,58,tn) = 0.0
	2632	sums_l(nzb,59,tn) = 0.0
	2633	sums_l(nzb,60,tn) = 0.0
	2634	sums_l(nzb,61,tn) = 0.0
	2635	sums_l(nzb,62,tn) = 0.0
	2636	sums_l(nzb,63,tn) = 0.0
	2637
	2638	ENDIF
	2639
	2640	!
	2641	!-- Calculate the user-defined profiles
	2642	CALL user_statistics( 'profiles', sr, tn )
	2643	!$OMP END PARALLEL
	2644
	2645	!
	2646	!-- Summation of thread sums
	2647	IF ( threads_per_task > 1 ) THEN
	2648	STOP '+++ openACC porting for threads_per_task > 1 in flow_statistics is still missing'
	2649	DO i = 1, threads_per_task-1
	2650	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	2651	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
	2652	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	2653	sums_l(:,45:pr_palm,i)
	2654	IF ( max_pr_user > 0 ) THEN
	2655	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	2656	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	2657	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	2658	ENDIF
	2659	ENDDO
	2660	ENDIF
	2661
	2662	!$acc update host( hom, sums, sums_l )
	2663
	2664	#if defined( __parallel )
	2665
	2666	!
	2667	!-- Compute total sum from local sums
	2668	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	2669	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	2670	MPI_SUM, comm2d, ierr )
	2671	#else
	2672	sums = sums_l(:,:,0)
	2673	#endif
	2674
	2675	!
	2676	!-- Final values are obtained by division by the total number of grid points
	2677	!-- used for summation. After that store profiles.
	2678	!-- Profiles:
	2679	DO k = nzb, nzt+1
	2680	sums(k,3) = sums(k,3) / ngp_2dh(sr)
	2681	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
	2682	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
	2683	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
	2684	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
	2685	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
	2686	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
	2687	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
	2688	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
	2689	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
	2690	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
	2691	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
	2692	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
	2693	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
	2694	ENDDO
	2695
	2696	!-- Upstream-parts
	2697	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
	2698	!-- u* and so on
	2699	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
	2700	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	2701	!-- above the topography, they are being divided by ngp_2dh(sr)
	2702	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
	2703	ngp_2dh(sr)
	2704	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
	2705	ngp_2dh(sr)
	2706	!-- eges, e*
	2707	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
	2708	ngp_3d(sr)
	2709	!-- Old and new divergence
	2710	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
	2711	ngp_3d_inner(sr)
	2712
	2713	!-- User-defined profiles
	2714	IF ( max_pr_user > 0 ) THEN
	2715	DO k = nzb, nzt+1
	2716	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	2717	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
	2718	ngp_2dh_s_inner(k,sr)
	2719	ENDDO
	2720	ENDIF
	2721
	2722	!
	2723	!-- Collect horizontal average in hom.
	2724	!-- Compute deduced averages (e.g. total heat flux)
	2725	hom(:,1,3,sr) = sums(:,3) ! w
	2726	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	2727	hom(:,1,9,sr) = sums(:,9) ! km
	2728	hom(:,1,10,sr) = sums(:,10) ! kh
	2729	hom(:,1,11,sr) = sums(:,11) ! l
	2730	hom(:,1,12,sr) = sums(:,12) ! w"u"
	2731	hom(:,1,13,sr) = sums(:,13) ! wu
	2732	hom(:,1,14,sr) = sums(:,14) ! w"v"
	2733	hom(:,1,15,sr) = sums(:,15) ! wv
	2734	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	2735	hom(:,1,17,sr) = sums(:,17) ! wpt
	2736	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	2737	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	2738	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	2739	hom(:,1,21,sr) = sums(:,21) ! wptBC
	2740	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
	2741	! profile 24 is initial profile (sa)
	2742	! profiles 25-29 left empty for initial
	2743	! profiles
	2744	hom(:,1,30,sr) = sums(:,30) ! u*2
	2745	hom(:,1,31,sr) = sums(:,31) ! v*2
	2746	hom(:,1,32,sr) = sums(:,32) ! w*2
	2747	hom(:,1,33,sr) = sums(:,33) ! pt*2
	2748	hom(:,1,34,sr) = sums(:,34) ! e*
	2749	hom(:,1,35,sr) = sums(:,35) ! w2pt
	2750	hom(:,1,36,sr) = sums(:,36) ! wpt2
	2751	hom(:,1,37,sr) = sums(:,37) ! we
	2752	hom(:,1,38,sr) = sums(:,38) ! w*3
	2753	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
	2754	hom(:,1,40,sr) = sums(:,40) ! p
	2755	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
	2756	hom(:,1,46,sr) = sums(:,46) ! wvpt
	2757	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	2758	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	2759	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	2760	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	2761	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	2762	hom(:,1,52,sr) = sums(:,52) ! wqv
	2763	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	2764	hom(:,1,54,sr) = sums(:,54) ! ql
	2765	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	2766	hom(:,1,56,sr) = sums(:,56) ! wp/dz
	2767	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
	2768	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	2769	hom(:,1,59,sr) = sums(:,59) ! upt
	2770	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	2771	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	2772	hom(:,1,62,sr) = sums(:,62) ! vpt
	2773	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
	2774	hom(:,1,64,sr) = sums(:,64) ! rho
	2775	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	2776	hom(:,1,66,sr) = sums(:,66) ! wsa
	2777	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
	2778	hom(:,1,68,sr) = sums(:,68) ! wp
	2779	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
	2780	hom(:,1,70,sr) = sums(:,70) ! q*2
	2781	hom(:,1,71,sr) = sums(:,71) ! prho
	2782	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
	2783	hom(:,1,73,sr) = sums(:,73) ! nr
	2784	hom(:,1,74,sr) = sums(:,74) ! qr
	2785	hom(:,1,75,sr) = sums(:,75) ! qc
	2786	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
	2787	! 77 is initial density profile
[1241]	2788	hom(:,1,78,sr) = ug ! ug
	2789	hom(:,1,79,sr) = vg ! vg
[1299]	2790	hom(:,1,80,sr) = w_subs ! w_subs
[1221]	2791
	2792	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
	2793	! upstream-parts u_x, u_y, u_z, v_x,
	2794	! v_y, usw. (in last but one profile)
	2795	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
	2796	! u, w'u', w'v', t (in last profile)
	2797
	2798	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	2799	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	2800	sums(:,pr_palm+1:pr_palm+max_pr_user)
	2801	ENDIF
	2802
	2803	!
	2804	!-- Determine the boundary layer height using two different schemes.
	2805	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	2806	!-- first relative minimum (maximum) of the total heat flux.
	2807	!-- The corresponding height is assumed as the boundary layer height, if it
	2808	!-- is less than 1.5 times the height where the heat flux becomes negative
	2809	!-- (positive) for the first time.
	2810	z_i(1) = 0.0
	2811	first = .TRUE.
	2812
	2813	IF ( ocean ) THEN
	2814	DO k = nzt, nzb+1, -1
	2815	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	2816	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
	2817	first = .FALSE.
	2818	height = zw(k)
	2819	ENDIF
	2820	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	2821	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
	2822	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	2823	IF ( zw(k) < 1.5 * height ) THEN
	2824	z_i(1) = zw(k)
	2825	ELSE
	2826	z_i(1) = height
	2827	ENDIF
	2828	EXIT
	2829	ENDIF
	2830	ENDDO
	2831	ELSE
	2832	DO k = nzb, nzt-1
	2833	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	2834	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
	2835	first = .FALSE.
	2836	height = zw(k)
	2837	ENDIF
	2838	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	2839	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
	2840	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	2841	IF ( zw(k) < 1.5 * height ) THEN
	2842	z_i(1) = zw(k)
	2843	ELSE
	2844	z_i(1) = height
	2845	ENDIF
	2846	EXIT
	2847	ENDIF
	2848	ENDDO
	2849	ENDIF
	2850
	2851	!
	2852	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
	2853	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
	2854	!-- maximal local temperature gradient: starting from the second (the last
	2855	!-- but one) vertical gridpoint, the local gradient must be at least
	2856	!-- 0.2K/100m and greater than the next four gradients.
	2857	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
	2858	!-- ocean case!
	2859	z_i(2) = 0.0
	2860	DO k = nzb+1, nzt+1
	2861	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
	2862	ENDDO
	2863	dptdz_threshold = 0.2 / 100.0
	2864
	2865	IF ( ocean ) THEN
	2866	DO k = nzt+1, nzb+5, -1
	2867	IF ( dptdz(k) > dptdz_threshold .AND. &
	2868	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
	2869	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
	2870	z_i(2) = zw(k-1)
	2871	EXIT
	2872	ENDIF
	2873	ENDDO
	2874	ELSE
	2875	DO k = nzb+1, nzt-3
	2876	IF ( dptdz(k) > dptdz_threshold .AND. &
	2877	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
	2878	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
	2879	z_i(2) = zw(k-1)
	2880	EXIT
	2881	ENDIF
	2882	ENDDO
	2883	ENDIF
	2884
	2885	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	2886	hom(nzb+7,1,pr_palm,sr) = z_i(2)
	2887
	2888	!
	2889	!-- Computation of both the characteristic vertical velocity and
	2890	!-- the characteristic convective boundary layer temperature.
	2891	!-- The horizontal average at nzb+1 is input for the average temperature.
	2892	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
	2893	.AND. z_i(1) /= 0.0 ) THEN
	2894	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
	2895	hom(nzb,1,18,sr) * &
	2896	ABS( z_i(1) ) )**0.333333333
	2897	!-- so far this only works if Prandtl layer is used
	2898	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
	2899	ELSE
	2900	hom(nzb+8,1,pr_palm,sr) = 0.0
	2901	hom(nzb+11,1,pr_palm,sr) = 0.0
	2902	ENDIF
	2903
	2904	!
	2905	!-- Collect the time series quantities
	2906	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	2907	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
	2908	ts_value(3,sr) = dt_3d
	2909	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	2910	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
	2911	ts_value(6,sr) = u_max
	2912	ts_value(7,sr) = v_max
	2913	ts_value(8,sr) = w_max
	2914	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	2915	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	2916	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	2917	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	2918	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
	2919	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	2920	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	2921	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	2922	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	2923	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
	2924	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
	2925	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
	2926	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
	2927
	2928	IF ( ts_value(5,sr) /= 0.0 ) THEN
	2929	ts_value(22,sr) = ts_value(4,sr)**2 / &
	2930	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	2931	ELSE
	2932	ts_value(22,sr) = 10000.0
	2933	ENDIF
	2934
	2935	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
	2936	!
	2937	!-- Calculate additional statistics provided by the user interface
	2938	CALL user_statistics( 'time_series', sr, 0 )
	2939
	2940	ENDDO ! loop of the subregions
	2941
	2942	!$acc end data
	2943
	2944	!
	2945	!-- If required, sum up horizontal averages for subsequent time averaging
	2946	IF ( do_sum ) THEN
	2947	IF ( average_count_pr == 0 ) hom_sum = 0.0
	2948	hom_sum = hom_sum + hom(:,1,:,:)
	2949	average_count_pr = average_count_pr + 1
	2950	do_sum = .FALSE.
	2951	ENDIF
	2952
	2953	!
	2954	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	2955	!-- This flag is reset after each time step in time_integration.
	2956	flow_statistics_called = .TRUE.
	2957
	2958	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	2959
	2960
	2961	END SUBROUTINE flow_statistics
	2962	#endif

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