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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1330

Last change on this file since 1330 was 1323, checked in by raasch, 11 years ago
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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	! -----------------
[1321]	23	!
[1323]	24	!
[1321]	25	! Former revisions:
	26	! -----------------
	27	! $Id: flow_statistics.f90 1323 2014-03-20 17:09:54Z suehring $
	28	!
[1323]	29	! 1322 2014-03-20 16:38:49Z raasch
	30	! REAL constants defined as wp-kind
	31	!
[1321]	32	! 1320 2014-03-20 08:40:49Z raasch
[1320]	33	! ONLY-attribute added to USE-statements,
	34	! kind-parameters added to all INTEGER and REAL declaration statements,
	35	! kinds are defined in new module kinds,
	36	! revision history before 2012 removed,
	37	! comment fields (!:) to be used for variable explanations added to
	38	! all variable declaration statements
[1008]	39	!
[1300]	40	! 1299 2014-03-06 13:15:21Z heinze
	41	! Output of large scale vertical velocity w_subs
	42	!
[1258]	43	! 1257 2013-11-08 15:18:40Z raasch
	44	! openacc "end parallel" replaced by "end parallel loop"
	45	!
[1242]	46	! 1241 2013-10-30 11:36:58Z heinze
	47	! Output of ug and vg
	48	!
[1222]	49	! 1221 2013-09-10 08:59:13Z raasch
	50	! ported for openACC in separate #else branch
	51	!
[1182]	52	! 1179 2013-06-14 05:57:58Z raasch
	53	! comment for profile 77 added
	54	!
[1116]	55	! 1115 2013-03-26 18:16:16Z hoffmann
	56	! ql is calculated by calc_liquid_water_content
	57	!
[1112]	58	! 1111 2013-03-08 23:54:10Z raasch
	59	! openACC directive added
	60	!
[1054]	61	! 1053 2012-11-13 17:11:03Z hoffmann
[1112]	62	! additions for two-moment cloud physics scheme:
[1054]	63	! +nr, qr, qc, prr
	64	!
[1037]	65	! 1036 2012-10-22 13:43:42Z raasch
	66	! code put under GPL (PALM 3.9)
	67	!
[1008]	68	! 1007 2012-09-19 14:30:36Z franke
[1007]	69	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
	70	! turbulent fluxes of WS-scheme
	71	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
	72	! droplets at nzb and nzt added
[700]	73	!
[802]	74	! 801 2012-01-10 17:30:36Z suehring
	75	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
	76	!
[1]	77	! Revision 1.1 1997/08/11 06:15:17 raasch
	78	! Initial revision
	79	!
	80	!
	81	! Description:
	82	! ------------
	83	! Compute average profiles and further average flow quantities for the different
	84	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
	85	!
[132]	86	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
	87	! ---- lower vertical index for k-loops for all variables, although strictly
	88	! speaking the k-loops would have to be split up according to the staggered
	89	! grid. However, this implies no error since staggered velocity components are
	90	! zero at the walls and inside buildings.
[1]	91	!------------------------------------------------------------------------------!
	92
[1320]	93	USE arrays_3d, &
	94	ONLY : ddzu, ddzw, e, hyp, km, kh,nr, p, prho, pt, q, qc, ql, qr, &
	95	qs, qsws, qswst, rho, sa, saswsb, saswst, shf, ts, tswst, u, &
	96	ug, us, usws, uswst, vsws, v, vg, vpt, vswst, w, w_subs, zw
	97
	98	USE cloud_parameters, &
	99	ONLY : l_d_cp, prr, pt_d_t
	100
	101	USE control_parameters, &
	102	ONLY : average_count_pr, cloud_droplets, cloud_physics, do_sum, &
	103	dt_3d, g, humidity, icloud_scheme, kappa, max_pr_user, &
	104	message_string, ocean, passive_scalar, precipitation, &
	105	use_surface_fluxes, use_top_fluxes, ws_scheme_mom, ws_scheme_sca
	106
	107	USE cpulog, &
	108	ONLY : cpu_log, log_point
	109
	110	USE grid_variables, &
	111	ONLY : ddx, ddy
	112
	113	USE indices, &
	114	ONLY : ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, nxl, &
	115	nxr, nyn, nys, nzb, nzb_diff_s_inner, nzb_s_inner, nzt, nzt_diff
	116
	117	USE kinds
	118
[1]	119	USE pegrid
[1320]	120
[1]	121	USE statistics
	122
	123	IMPLICIT NONE
	124
[1320]	125	INTEGER(iwp) :: i !:
	126	INTEGER(iwp) :: j !:
	127	INTEGER(iwp) :: k !:
	128	INTEGER(iwp) :: omp_get_thread_num !:
	129	INTEGER(iwp) :: sr !:
	130	INTEGER(iwp) :: tn !:
	131
	132	LOGICAL :: first !:
	133
	134	REAL(wp) :: dptdz_threshold !:
	135	REAL(wp) :: height !:
	136	REAL(wp) :: pts !:
	137	REAL(wp) :: sums_l_eper !:
	138	REAL(wp) :: sums_l_etot !:
	139	REAL(wp) :: ust !:
	140	REAL(wp) :: ust2 !:
	141	REAL(wp) :: u2 !:
	142	REAL(wp) :: vst !:
	143	REAL(wp) :: vst2 !:
	144	REAL(wp) :: v2 !:
	145	REAL(wp) :: w2 !:
	146	REAL(wp) :: z_i(2) !:
	147
	148	REAL(wp) :: dptdz(nzb+1:nzt+1) !:
	149	REAL(wp) :: sums_ll(nzb:nzt+1,2) !:
[1]	150
	151	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
	152
[1221]	153	!$acc update host( km, kh, e, pt, qs, qsws, rif, shf, ts, u, usws, v, vsws, w )
	154
[1]	155	!
	156	!-- To be on the safe side, check whether flow_statistics has already been
	157	!-- called once after the current time step
	158	IF ( flow_statistics_called ) THEN
[254]	159
[274]	160	message_string = 'flow_statistics is called two times within one ' // &
	161	'timestep'
[254]	162	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
[1007]	163
[1]	164	ENDIF
	165
	166	!
	167	!-- Compute statistics for each (sub-)region
	168	DO sr = 0, statistic_regions
	169
	170	!
	171	!-- Initialize (local) summation array
	172	sums_l = 0.0
	173
	174	!
	175	!-- Store sums that have been computed in other subroutines in summation
	176	!-- array
	177	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
	178	!-- WARNING: next line still has to be adjusted for OpenMP
	179	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
[87]	180	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
	181	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
[1]	182
[667]	183	!
	184	!-- Copy the turbulent quantities, evaluated in the advection routines to
	185	!-- the local array sums_l() for further computations
[743]	186	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
[696]	187
[1007]	188	!
[673]	189	!-- According to the Neumann bc for the horizontal velocity components,
	190	!-- the corresponding fluxes has to satisfiy the same bc.
	191	IF ( ocean ) THEN
[801]	192	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
[1007]	193	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
[673]	194	ENDIF
[696]	195
	196	DO i = 0, threads_per_task-1
[1007]	197	!
[696]	198	!-- Swap the turbulent quantities evaluated in advec_ws.
[801]	199	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
	200	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
	201	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
	202	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
	203	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
[1320]	204	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
	205	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
[801]	206	sums_ws2_ws_l(:,i) ) ! e*
[696]	207	DO k = nzb, nzt
[1320]	208	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
	209	sums_us2_ws_l(k,i) + &
	210	sums_vs2_ws_l(k,i) + &
[801]	211	sums_ws2_ws_l(k,i) )
[696]	212	ENDDO
[667]	213	ENDDO
[696]	214
[667]	215	ENDIF
[696]	216
[743]	217	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
[696]	218
	219	DO i = 0, threads_per_task-1
[801]	220	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
	221	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
[696]	222	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
[801]	223	sums_wsqs_ws_l(:,i) !wq
[696]	224	ENDDO
	225
[667]	226	ENDIF
[305]	227	!
[1]	228	!-- Horizontally averaged profiles of horizontal velocities and temperature.
	229	!-- They must have been computed before, because they are already required
	230	!-- for other horizontal averages.
	231	tn = 0
[667]	232
[1]	233	!$OMP PARALLEL PRIVATE( i, j, k, tn )
[82]	234	#if defined( __intel_openmp_bug )
[1]	235	tn = omp_get_thread_num()
	236	#else
	237	!$ tn = omp_get_thread_num()
	238	#endif
	239
	240	!$OMP DO
	241	DO i = nxl, nxr
	242	DO j = nys, nyn
[132]	243	DO k = nzb_s_inner(j,i), nzt+1
[1]	244	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
	245	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
	246	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
	247	ENDDO
	248	ENDDO
	249	ENDDO
	250
	251	!
[96]	252	!-- Horizontally averaged profile of salinity
	253	IF ( ocean ) THEN
	254	!$OMP DO
	255	DO i = nxl, nxr
	256	DO j = nys, nyn
[132]	257	DO k = nzb_s_inner(j,i), nzt+1
[96]	258	sums_l(k,23,tn) = sums_l(k,23,tn) + &
	259	sa(k,j,i) * rmask(j,i,sr)
	260	ENDDO
	261	ENDDO
	262	ENDDO
	263	ENDIF
	264
	265	!
[1]	266	!-- Horizontally averaged profiles of virtual potential temperature,
	267	!-- total water content, specific humidity and liquid water potential
	268	!-- temperature
[75]	269	IF ( humidity ) THEN
[1]	270	!$OMP DO
	271	DO i = nxl, nxr
	272	DO j = nys, nyn
[132]	273	DO k = nzb_s_inner(j,i), nzt+1
[1]	274	sums_l(k,44,tn) = sums_l(k,44,tn) + &
	275	vpt(k,j,i) * rmask(j,i,sr)
	276	sums_l(k,41,tn) = sums_l(k,41,tn) + &
	277	q(k,j,i) * rmask(j,i,sr)
	278	ENDDO
	279	ENDDO
	280	ENDDO
	281	IF ( cloud_physics ) THEN
	282	!$OMP DO
	283	DO i = nxl, nxr
	284	DO j = nys, nyn
[132]	285	DO k = nzb_s_inner(j,i), nzt+1
[1]	286	sums_l(k,42,tn) = sums_l(k,42,tn) + &
	287	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
	288	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
	289	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
	290	) * rmask(j,i,sr)
	291	ENDDO
	292	ENDDO
	293	ENDDO
	294	ENDIF
	295	ENDIF
	296
	297	!
	298	!-- Horizontally averaged profiles of passive scalar
	299	IF ( passive_scalar ) THEN
	300	!$OMP DO
	301	DO i = nxl, nxr
	302	DO j = nys, nyn
[132]	303	DO k = nzb_s_inner(j,i), nzt+1
[1]	304	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
	305	ENDDO
	306	ENDDO
	307	ENDDO
	308	ENDIF
	309	!$OMP END PARALLEL
	310	!
	311	!-- Summation of thread sums
	312	IF ( threads_per_task > 1 ) THEN
	313	DO i = 1, threads_per_task-1
	314	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
	315	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
	316	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
[96]	317	IF ( ocean ) THEN
	318	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
	319	ENDIF
[75]	320	IF ( humidity ) THEN
[1]	321	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	322	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
	323	IF ( cloud_physics ) THEN
	324	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
	325	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
	326	ENDIF
	327	ENDIF
	328	IF ( passive_scalar ) THEN
	329	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	330	ENDIF
	331	ENDDO
	332	ENDIF
	333
	334	#if defined( __parallel )
	335	!
	336	!-- Compute total sum from local sums
[622]	337	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1320]	338	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
[1]	339	MPI_SUM, comm2d, ierr )
[622]	340	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1320]	341	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
[1]	342	MPI_SUM, comm2d, ierr )
[622]	343	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1320]	344	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
[1]	345	MPI_SUM, comm2d, ierr )
[96]	346	IF ( ocean ) THEN
[622]	347	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1320]	348	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
[96]	349	MPI_REAL, MPI_SUM, comm2d, ierr )
	350	ENDIF
[75]	351	IF ( humidity ) THEN
[622]	352	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1320]	353	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
[1]	354	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	355	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1320]	356	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
[1]	357	MPI_REAL, MPI_SUM, comm2d, ierr )
	358	IF ( cloud_physics ) THEN
[622]	359	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1320]	360	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
[1]	361	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	362	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1320]	363	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
[1]	364	MPI_REAL, MPI_SUM, comm2d, ierr )
	365	ENDIF
	366	ENDIF
	367
	368	IF ( passive_scalar ) THEN
[622]	369	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1320]	370	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
[1]	371	MPI_REAL, MPI_SUM, comm2d, ierr )
	372	ENDIF
	373	#else
	374	sums(:,1) = sums_l(:,1,0)
	375	sums(:,2) = sums_l(:,2,0)
	376	sums(:,4) = sums_l(:,4,0)
[96]	377	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
[75]	378	IF ( humidity ) THEN
[1]	379	sums(:,44) = sums_l(:,44,0)
	380	sums(:,41) = sums_l(:,41,0)
	381	IF ( cloud_physics ) THEN
	382	sums(:,42) = sums_l(:,42,0)
	383	sums(:,43) = sums_l(:,43,0)
	384	ENDIF
	385	ENDIF
	386	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
	387	#endif
	388
	389	!
	390	!-- Final values are obtained by division by the total number of grid points
	391	!-- used for summation. After that store profiles.
[132]	392	sums(:,1) = sums(:,1) / ngp_2dh(sr)
	393	sums(:,2) = sums(:,2) / ngp_2dh(sr)
	394	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
[1]	395	hom(:,1,1,sr) = sums(:,1) ! u
	396	hom(:,1,2,sr) = sums(:,2) ! v
	397	hom(:,1,4,sr) = sums(:,4) ! pt
	398
[667]	399
[1]	400	!
[96]	401	!-- Salinity
	402	IF ( ocean ) THEN
[132]	403	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
[96]	404	hom(:,1,23,sr) = sums(:,23) ! sa
	405	ENDIF
	406
	407	!
[1]	408	!-- Humidity and cloud parameters
[75]	409	IF ( humidity ) THEN
[132]	410	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
	411	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
[1]	412	hom(:,1,44,sr) = sums(:,44) ! vpt
	413	hom(:,1,41,sr) = sums(:,41) ! qv (q)
	414	IF ( cloud_physics ) THEN
[132]	415	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
	416	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
[1]	417	hom(:,1,42,sr) = sums(:,42) ! qv
	418	hom(:,1,43,sr) = sums(:,43) ! pt
	419	ENDIF
	420	ENDIF
	421
	422	!
	423	!-- Passive scalar
[1320]	424	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
[132]	425	ngp_2dh_s_inner(:,sr) ! s (q)
[1]	426
	427	!
	428	!-- Horizontally averaged profiles of the remaining prognostic variables,
	429	!-- variances, the total and the perturbation energy (single values in last
	430	!-- column of sums_l) and some diagnostic quantities.
[132]	431	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	432	!-- ---- speaking the following k-loop would have to be split up and
	433	!-- rearranged according to the staggered grid.
[132]	434	!-- However, this implies no error since staggered velocity components
	435	!-- are zero at the walls and inside buildings.
[1]	436	tn = 0
[82]	437	#if defined( __intel_openmp_bug )
[1]	438	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
	439	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
	440	tn = omp_get_thread_num()
	441	#else
	442	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
	443	!$ tn = omp_get_thread_num()
	444	#endif
	445	!$OMP DO
	446	DO i = nxl, nxr
	447	DO j = nys, nyn
	448	sums_l_etot = 0.0
[132]	449	DO k = nzb_s_inner(j,i), nzt+1
[1]	450	!
	451	!-- Prognostic and diagnostic variables
	452	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
	453	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
	454	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
	455	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
	456	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
	457
	458	sums_l(k,33,tn) = sums_l(k,33,tn) + &
	459	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
[624]	460
	461	IF ( humidity ) THEN
	462	sums_l(k,70,tn) = sums_l(k,70,tn) + &
	463	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
	464	ENDIF
[1007]	465
[699]	466	!
	467	!-- Higher moments
	468	!-- (Computation of the skewness of w further below)
	469	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
[667]	470
[1]	471	sums_l_etot = sums_l_etot + &
[667]	472	0.5 * ( u(k,j,i)2 + v(k,j,i)2 + &
	473	w(k,j,i)*2 ) rmask(j,i,sr)
[1]	474	ENDDO
	475	!
	476	!-- Total and perturbation energy for the total domain (being
	477	!-- collected in the last column of sums_l). Summation of these
	478	!-- quantities is seperated from the previous loop in order to
	479	!-- allow vectorization of that loop.
[87]	480	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
[1]	481	!
	482	!-- 2D-arrays (being collected in the last column of sums_l)
[1320]	483	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
[1]	484	us(j,i) * rmask(j,i,sr)
[1320]	485	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
[1]	486	usws(j,i) * rmask(j,i,sr)
[1320]	487	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
[1]	488	vsws(j,i) * rmask(j,i,sr)
[1320]	489	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
[1]	490	ts(j,i) * rmask(j,i,sr)
[197]	491	IF ( humidity ) THEN
[1320]	492	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
[197]	493	qs(j,i) * rmask(j,i,sr)
	494	ENDIF
[1]	495	ENDDO
	496	ENDDO
	497
	498	!
[667]	499	!-- Computation of statistics when ws-scheme is not used. Else these
	500	!-- quantities are evaluated in the advection routines.
[743]	501	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	502	!$OMP DO
	503	DO i = nxl, nxr
	504	DO j = nys, nyn
	505	sums_l_eper = 0.0
	506	DO k = nzb_s_inner(j,i), nzt+1
	507	u2 = u(k,j,i)**2
	508	v2 = v(k,j,i)**2
	509	w2 = w(k,j,i)**2
	510	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
	511	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
	512
	513	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
	514	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
	515	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
	516	!
	517	!-- Perturbation energy
	518
	519	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * &
	520	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
	521	sums_l_eper = sums_l_eper + &
	522	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
	523
	524	ENDDO
	525	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
	526	+ sums_l_eper
	527	ENDDO
	528	ENDDO
	529	ENDIF
[1241]	530
[667]	531	!
[1]	532	!-- Horizontally averaged profiles of the vertical fluxes
[667]	533
[1]	534	!$OMP DO
	535	DO i = nxl, nxr
	536	DO j = nys, nyn
	537	!
	538	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
	539	!-- oterwise from k=nzb+1)
[132]	540	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
[1]	541	!-- ---- strictly speaking the following k-loop would have to be
	542	!-- split up according to the staggered grid.
[132]	543	!-- However, this implies no error since staggered velocity
	544	!-- components are zero at the walls and inside buildings.
	545
	546	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
[1]	547	!
	548	!-- Momentum flux w"u"
	549	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
	550	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
	551	) * ( &
	552	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	553	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	554	) * rmask(j,i,sr)
	555	!
	556	!-- Momentum flux w"v"
	557	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
	558	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
	559	) * ( &
	560	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	561	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	562	) * rmask(j,i,sr)
	563	!
	564	!-- Heat flux w"pt"
	565	sums_l(k,16,tn) = sums_l(k,16,tn) &
	566	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	567	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	568	* ddzu(k+1) * rmask(j,i,sr)
	569
	570
	571	!
[96]	572	!-- Salinity flux w"sa"
	573	IF ( ocean ) THEN
	574	sums_l(k,65,tn) = sums_l(k,65,tn) &
	575	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	576	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	577	* ddzu(k+1) * rmask(j,i,sr)
	578	ENDIF
	579
	580	!
[1]	581	!-- Buoyancy flux, water flux (humidity flux) w"q"
[75]	582	IF ( humidity ) THEN
[1]	583	sums_l(k,45,tn) = sums_l(k,45,tn) &
	584	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	585	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	586	* ddzu(k+1) * rmask(j,i,sr)
	587	sums_l(k,48,tn) = sums_l(k,48,tn) &
	588	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	589	* ( q(k+1,j,i) - q(k,j,i) ) &
	590	* ddzu(k+1) * rmask(j,i,sr)
[1007]	591
[1]	592	IF ( cloud_physics ) THEN
	593	sums_l(k,51,tn) = sums_l(k,51,tn) &
	594	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	595	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
	596	- ( q(k,j,i) - ql(k,j,i) ) ) &
	597	* ddzu(k+1) * rmask(j,i,sr)
	598	ENDIF
	599	ENDIF
	600
	601	!
	602	!-- Passive scalar flux
	603	IF ( passive_scalar ) THEN
	604	sums_l(k,48,tn) = sums_l(k,48,tn) &
	605	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	606	* ( q(k+1,j,i) - q(k,j,i) ) &
	607	* ddzu(k+1) * rmask(j,i,sr)
	608	ENDIF
	609
	610	ENDDO
	611
	612	!
	613	!-- Subgridscale fluxes in the Prandtl layer
	614	IF ( use_surface_fluxes ) THEN
	615	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
	616	usws(j,i) * rmask(j,i,sr) ! w"u"
	617	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
	618	vsws(j,i) * rmask(j,i,sr) ! w"v"
	619	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
	620	shf(j,i) * rmask(j,i,sr) ! w"pt"
	621	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
	622	0.0 * rmask(j,i,sr) ! u"pt"
	623	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
	624	0.0 * rmask(j,i,sr) ! v"pt"
[96]	625	IF ( ocean ) THEN
	626	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
	627	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	628	ENDIF
[75]	629	IF ( humidity ) THEN
[1]	630	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	631	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	632	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	633	( 1.0 + 0.61 * q(nzb,j,i) ) * &
	634	shf(j,i) + 0.61 * pt(nzb,j,i) * &
	635	qsws(j,i) )
	636	IF ( cloud_droplets ) THEN
	637	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	638	( 1.0 + 0.61 * q(nzb,j,i) - &
	639	ql(nzb,j,i) ) * shf(j,i) + &
	640	0.61 * pt(nzb,j,i) * qsws(j,i) )
	641	ENDIF
[1]	642	IF ( cloud_physics ) THEN
	643	!
	644	!-- Formula does not work if ql(nzb) /= 0.0
	645	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
	646	qsws(j,i) * rmask(j,i,sr)
	647	ENDIF
	648	ENDIF
	649	IF ( passive_scalar ) THEN
	650	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	651	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	652	ENDIF
	653	ENDIF
	654
	655	!
[19]	656	!-- Subgridscale fluxes at the top surface
	657	IF ( use_top_fluxes ) THEN
[550]	658	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
[102]	659	uswst(j,i) * rmask(j,i,sr) ! w"u"
[550]	660	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
[102]	661	vswst(j,i) * rmask(j,i,sr) ! w"v"
[550]	662	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
[19]	663	tswst(j,i) * rmask(j,i,sr) ! w"pt"
[550]	664	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
[19]	665	0.0 * rmask(j,i,sr) ! u"pt"
[550]	666	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
	667	0.0 * rmask(j,i,sr) ! v"pt"
	668
[96]	669	IF ( ocean ) THEN
	670	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
	671	saswst(j,i) * rmask(j,i,sr) ! w"sa"
	672	ENDIF
[75]	673	IF ( humidity ) THEN
[19]	674	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	675	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	676	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	677	( 1.0 + 0.61 * q(nzt,j,i) ) * &
	678	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
	679	qswst(j,i) )
	680	IF ( cloud_droplets ) THEN
	681	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	682	( 1.0 + 0.61 * q(nzt,j,i) - &
	683	ql(nzt,j,i) ) * tswst(j,i) + &
	684	0.61 * pt(nzt,j,i) * qswst(j,i) )
	685	ENDIF
[19]	686	IF ( cloud_physics ) THEN
	687	!
	688	!-- Formula does not work if ql(nzb) /= 0.0
	689	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
	690	qswst(j,i) * rmask(j,i,sr)
	691	ENDIF
	692	ENDIF
	693	IF ( passive_scalar ) THEN
	694	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	695	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[19]	696	ENDIF
	697	ENDIF
	698
	699	!
[1]	700	!-- Resolved fluxes (can be computed for all horizontal points)
[132]	701	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	702	!-- ---- speaking the following k-loop would have to be split up and
	703	!-- rearranged according to the staggered grid.
[132]	704	DO k = nzb_s_inner(j,i), nzt
[1]	705	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	706	u(k+1,j,i) - hom(k+1,1,1,sr) )
	707	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	708	v(k+1,j,i) - hom(k+1,1,2,sr) )
	709	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	710	pt(k+1,j,i) - hom(k+1,1,4,sr) )
[667]	711
[1]	712	!-- Higher moments
	713	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
	714	rmask(j,i,sr)
	715	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
	716	rmask(j,i,sr)
	717
	718	!
[96]	719	!-- Salinity flux and density (density does not belong to here,
[97]	720	!-- but so far there is no other suitable place to calculate)
[96]	721	IF ( ocean ) THEN
[743]	722	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	723	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
[96]	724	sa(k+1,j,i) - hom(k+1,1,23,sr) )
[667]	725	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
[96]	726	rmask(j,i,sr)
[667]	727	ENDIF
[96]	728	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
	729	rmask(j,i,sr)
[388]	730	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
	731	rmask(j,i,sr)
[96]	732	ENDIF
	733
	734	!
[1053]	735	!-- Buoyancy flux, water flux, humidity flux, liquid water
	736	!-- content, rain drop concentration and rain water content
[75]	737	IF ( humidity ) THEN
[1007]	738	IF ( cloud_physics .OR. cloud_droplets ) THEN
[1053]	739	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
[1007]	740	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	741	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
[1]	742	rmask(j,i,sr)
[1053]	743	IF ( .NOT. cloud_droplets ) THEN
[1115]	744	pts = 0.5 * &
	745	( ( q(k,j,i) - ql(k,j,i) ) - &
	746	hom(k,1,42,sr) + &
	747	( q(k+1,j,i) - ql(k+1,j,i) ) - &
[1053]	748	hom(k+1,1,42,sr) )
[1115]	749	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
[1053]	750	rmask(j,i,sr)
	751	IF ( icloud_scheme == 0 ) THEN
[1115]	752	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
[1053]	753	rmask(j,i,sr)
[1115]	754	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
[1053]	755	rmask(j,i,sr)
[1115]	756	IF ( precipitation ) THEN
	757	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
	758	rmask(j,i,sr)
	759	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
	760	rmask(j,i,sr)
	761	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) *&
	762	rmask(j,i,sr)
	763	ENDIF
[1053]	764	ELSE
[1115]	765	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
[1053]	766	rmask(j,i,sr)
	767	ENDIF
	768	ELSE
[1115]	769	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
[1053]	770	rmask(j,i,sr)
	771	ENDIF
[1007]	772	ELSE
	773	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	774	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	775	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	776	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
	777	rmask(j,i,sr)
	778	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
[1053]	779	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * &
[1007]	780	sums_l(k,17,tn) + &
	781	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
	782	END IF
	783	END IF
[1]	784	ENDIF
	785	!
	786	!-- Passive scalar flux
[743]	787	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
	788	.OR. sr /= 0 ) ) THEN
[1]	789	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	790	q(k+1,j,i) - hom(k+1,1,41,sr) )
	791	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	792	rmask(j,i,sr)
	793	ENDIF
	794
	795	!
	796	!-- Energy flux we
[667]	797	!-- has to be adjusted
	798	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
	799	( ust2 + vst2 + w(k,j,i)**2 )&
	800	* rmask(j,i,sr)
[1]	801	ENDDO
	802	ENDDO
	803	ENDDO
[709]	804	!
	805	!-- For speed optimization fluxes which have been computed in part directly
	806	!-- inside the WS advection routines are treated seperatly
	807	!-- Momentum fluxes first:
[743]	808	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	809	!$OMP DO
	810	DO i = nxl, nxr
	811	DO j = nys, nyn
	812	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	813	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	814	u(k+1,j,i) - hom(k+1,1,1,sr) )
	815	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	816	v(k+1,j,i) - hom(k+1,1,2,sr) )
[1007]	817	!
[667]	818	!-- Momentum flux wu
	819	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
	820	( w(k,j,i-1) + w(k,j,i) ) &
	821	* ust * rmask(j,i,sr)
	822	!
	823	!-- Momentum flux wv
	824	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
	825	( w(k,j-1,i) + w(k,j,i) ) &
	826	* vst * rmask(j,i,sr)
	827	ENDDO
	828	ENDDO
	829	ENDDO
[1]	830
[667]	831	ENDIF
[743]	832	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	833	!$OMP DO
	834	DO i = nxl, nxr
	835	DO j = nys, nyn
[709]	836	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	837	!
	838	!-- Vertical heat flux
[667]	839	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
	840	( pt(k,j,i) - hom(k,1,4,sr) + &
	841	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
	842	* w(k,j,i) * rmask(j,i,sr)
	843	IF ( humidity ) THEN
	844	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	845	q(k+1,j,i) - hom(k+1,1,41,sr) )
	846	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	847	rmask(j,i,sr)
	848	ENDIF
	849	ENDDO
	850	ENDDO
	851	ENDDO
	852
	853	ENDIF
	854
[1]	855	!
[97]	856	!-- Density at top follows Neumann condition
[388]	857	IF ( ocean ) THEN
	858	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	859	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
	860	ENDIF
[97]	861
	862	!
[1]	863	!-- Divergence of vertical flux of resolved scale energy and pressure
[106]	864	!-- fluctuations as well as flux of pressure fluctuation itself (68).
	865	!-- First calculate the products, then the divergence.
[1]	866	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
[106]	867	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
[1]	868
	869	sums_ll = 0.0 ! local array
	870
	871	!$OMP DO
	872	DO i = nxl, nxr
	873	DO j = nys, nyn
[132]	874	DO k = nzb_s_inner(j,i)+1, nzt
[1]	875
	876	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	877	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
[678]	878	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
[1]	879	) )**2 &
	880	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
[678]	881	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
[1]	882	) )**2 &
	883	+ w(k,j,i)**2 )
	884
	885	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	886	* ( p(k,j,i) + p(k+1,j,i) )
	887
	888	ENDDO
	889	ENDDO
	890	ENDDO
	891	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	892	sums_ll(nzt+1,1) = 0.0
	893	sums_ll(0,2) = 0.0
	894	sums_ll(nzt+1,2) = 0.0
	895
[678]	896	DO k = nzb+1, nzt
[1]	897	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	898	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
[106]	899	sums_l(k,68,tn) = sums_ll(k,2)
[1]	900	ENDDO
	901	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	902	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
[106]	903	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
[1]	904
	905	ENDIF
	906
	907	!
[106]	908	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
	909	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
[1]	910
	911	!$OMP DO
	912	DO i = nxl, nxr
	913	DO j = nys, nyn
[132]	914	DO k = nzb_s_inner(j,i)+1, nzt
[1]	915
[106]	916	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
[1]	917	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	918	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
[106]	919	) * ddzw(k)
[1]	920
[106]	921	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
	922	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	923	)
	924
[1]	925	ENDDO
	926	ENDDO
	927	ENDDO
	928	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
[106]	929	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
[1]	930
	931	ENDIF
	932
	933	!
	934	!-- Horizontal heat fluxes (subgrid, resolved, total).
	935	!-- Do it only, if profiles shall be plotted.
	936	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	937
	938	!$OMP DO
	939	DO i = nxl, nxr
	940	DO j = nys, nyn
[132]	941	DO k = nzb_s_inner(j,i)+1, nzt
[1]	942	!
	943	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	944	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	945	( kh(k,j,i) + kh(k,j,i-1) ) &
	946	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	947	* ddx * rmask(j,i,sr)
	948	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	949	( kh(k,j,i) + kh(k,j-1,i) ) &
	950	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	951	* ddy * rmask(j,i,sr)
	952	!
	953	!-- Resolved horizontal heat fluxes upt, vpt
	954	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	955	( u(k,j,i) - hom(k,1,1,sr) ) &
	956	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	957	pt(k,j,i) - hom(k,1,4,sr) )
	958	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	959	pt(k,j,i) - hom(k,1,4,sr) )
	960	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	961	( v(k,j,i) - hom(k,1,2,sr) ) &
	962	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	963	pt(k,j,i) - hom(k,1,4,sr) )
	964	ENDDO
	965	ENDDO
	966	ENDDO
	967	!
	968	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
[97]	969	sums_l(nzb,58,tn) = 0.0
	970	sums_l(nzb,59,tn) = 0.0
	971	sums_l(nzb,60,tn) = 0.0
	972	sums_l(nzb,61,tn) = 0.0
	973	sums_l(nzb,62,tn) = 0.0
	974	sums_l(nzb,63,tn) = 0.0
[1]	975
	976	ENDIF
[87]	977
	978	!
	979	!-- Calculate the user-defined profiles
	980	CALL user_statistics( 'profiles', sr, tn )
[1]	981	!$OMP END PARALLEL
	982
	983	!
	984	!-- Summation of thread sums
	985	IF ( threads_per_task > 1 ) THEN
	986	DO i = 1, threads_per_task-1
	987	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	988	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
[87]	989	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	990	sums_l(:,45:pr_palm,i)
	991	IF ( max_pr_user > 0 ) THEN
	992	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	993	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	994	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	995	ENDIF
[1]	996	ENDDO
	997	ENDIF
	998
	999	#if defined( __parallel )
[667]	1000
[1]	1001	!
	1002	!-- Compute total sum from local sums
[622]	1003	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	1004	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	1005	MPI_SUM, comm2d, ierr )
	1006	#else
	1007	sums = sums_l(:,:,0)
	1008	#endif
	1009
	1010	!
	1011	!-- Final values are obtained by division by the total number of grid points
	1012	!-- used for summation. After that store profiles.
	1013	!-- Profiles:
	1014	DO k = nzb, nzt+1
[132]	1015	sums(k,3) = sums(k,3) / ngp_2dh(sr)
[142]	1016	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
[132]	1017	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
	1018	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
	1019	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
[142]	1020	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
	1021	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
[132]	1022	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
	1023	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
	1024	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
	1025	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
	1026	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
	1027	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
	1028	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
[1]	1029	ENDDO
[667]	1030
[1]	1031	!-- Upstream-parts
[87]	1032	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
[1]	1033	!-- u* and so on
[87]	1034	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
[1]	1035	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	1036	!-- above the topography, they are being divided by ngp_2dh(sr)
[87]	1037	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
[1]	1038	ngp_2dh(sr)
[197]	1039	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
	1040	ngp_2dh(sr)
[1]	1041	!-- eges, e*
[87]	1042	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
[132]	1043	ngp_3d(sr)
[1]	1044	!-- Old and new divergence
[87]	1045	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
[1]	1046	ngp_3d_inner(sr)
	1047
[87]	1048	!-- User-defined profiles
	1049	IF ( max_pr_user > 0 ) THEN
	1050	DO k = nzb, nzt+1
	1051	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	1052	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
[132]	1053	ngp_2dh_s_inner(k,sr)
[87]	1054	ENDDO
	1055	ENDIF
[1007]	1056
[1]	1057	!
	1058	!-- Collect horizontal average in hom.
	1059	!-- Compute deduced averages (e.g. total heat flux)
	1060	hom(:,1,3,sr) = sums(:,3) ! w
	1061	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	1062	hom(:,1,9,sr) = sums(:,9) ! km
	1063	hom(:,1,10,sr) = sums(:,10) ! kh
	1064	hom(:,1,11,sr) = sums(:,11) ! l
	1065	hom(:,1,12,sr) = sums(:,12) ! w"u"
	1066	hom(:,1,13,sr) = sums(:,13) ! wu
	1067	hom(:,1,14,sr) = sums(:,14) ! w"v"
	1068	hom(:,1,15,sr) = sums(:,15) ! wv
	1069	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	1070	hom(:,1,17,sr) = sums(:,17) ! wpt
	1071	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	1072	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	1073	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	1074	hom(:,1,21,sr) = sums(:,21) ! wptBC
	1075	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
[96]	1076	! profile 24 is initial profile (sa)
	1077	! profiles 25-29 left empty for initial
[1]	1078	! profiles
	1079	hom(:,1,30,sr) = sums(:,30) ! u*2
	1080	hom(:,1,31,sr) = sums(:,31) ! v*2
	1081	hom(:,1,32,sr) = sums(:,32) ! w*2
	1082	hom(:,1,33,sr) = sums(:,33) ! pt*2
	1083	hom(:,1,34,sr) = sums(:,34) ! e*
	1084	hom(:,1,35,sr) = sums(:,35) ! w2pt
	1085	hom(:,1,36,sr) = sums(:,36) ! wpt2
	1086	hom(:,1,37,sr) = sums(:,37) ! we
	1087	hom(:,1,38,sr) = sums(:,38) ! w*3
[699]	1088	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
[1]	1089	hom(:,1,40,sr) = sums(:,40) ! p
[531]	1090	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
[1]	1091	hom(:,1,46,sr) = sums(:,46) ! wvpt
	1092	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	1093	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	1094	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	1095	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	1096	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	1097	hom(:,1,52,sr) = sums(:,52) ! wqv
	1098	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	1099	hom(:,1,54,sr) = sums(:,54) ! ql
	1100	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	1101	hom(:,1,56,sr) = sums(:,56) ! wp/dz
[106]	1102	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
[1]	1103	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	1104	hom(:,1,59,sr) = sums(:,59) ! upt
	1105	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	1106	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	1107	hom(:,1,62,sr) = sums(:,62) ! vpt
	1108	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
[96]	1109	hom(:,1,64,sr) = sums(:,64) ! rho
	1110	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	1111	hom(:,1,66,sr) = sums(:,66) ! wsa
	1112	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
[106]	1113	hom(:,1,68,sr) = sums(:,68) ! wp
	1114	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
[197]	1115	hom(:,1,70,sr) = sums(:,70) ! q*2
[388]	1116	hom(:,1,71,sr) = sums(:,71) ! prho
[531]	1117	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
[1053]	1118	hom(:,1,73,sr) = sums(:,73) ! nr
	1119	hom(:,1,74,sr) = sums(:,74) ! qr
	1120	hom(:,1,75,sr) = sums(:,75) ! qc
	1121	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
[1179]	1122	! 77 is initial density profile
[1241]	1123	hom(:,1,78,sr) = ug ! ug
	1124	hom(:,1,79,sr) = vg ! vg
[1299]	1125	hom(:,1,80,sr) = w_subs ! w_subs
[1]	1126
[87]	1127	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
[1]	1128	! upstream-parts u_x, u_y, u_z, v_x,
	1129	! v_y, usw. (in last but one profile)
[667]	1130	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
[1]	1131	! u, w'u', w'v', t (in last profile)
	1132
[87]	1133	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	1134	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	1135	sums(:,pr_palm+1:pr_palm+max_pr_user)
	1136	ENDIF
	1137
[1]	1138	!
	1139	!-- Determine the boundary layer height using two different schemes.
[94]	1140	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	1141	!-- first relative minimum (maximum) of the total heat flux.
	1142	!-- The corresponding height is assumed as the boundary layer height, if it
	1143	!-- is less than 1.5 times the height where the heat flux becomes negative
	1144	!-- (positive) for the first time.
[1]	1145	z_i(1) = 0.0
	1146	first = .TRUE.
[667]	1147
[97]	1148	IF ( ocean ) THEN
	1149	DO k = nzt, nzb+1, -1
[667]	1150	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1151	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
[97]	1152	first = .FALSE.
	1153	height = zw(k)
	1154	ENDIF
	1155	IF ( hom(k,1,18,sr) < 0.0 .AND. &
[667]	1156	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[97]	1157	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1158	IF ( zw(k) < 1.5 * height ) THEN
	1159	z_i(1) = zw(k)
	1160	ELSE
	1161	z_i(1) = height
	1162	ENDIF
	1163	EXIT
	1164	ENDIF
	1165	ENDDO
	1166	ELSE
[94]	1167	DO k = nzb, nzt-1
[667]	1168	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1169	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
[94]	1170	first = .FALSE.
	1171	height = zw(k)
[1]	1172	ENDIF
[667]	1173	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	1174	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[94]	1175	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1176	IF ( zw(k) < 1.5 * height ) THEN
	1177	z_i(1) = zw(k)
	1178	ELSE
	1179	z_i(1) = height
	1180	ENDIF
	1181	EXIT
	1182	ENDIF
	1183	ENDDO
[97]	1184	ENDIF
[1]	1185
	1186	!
[291]	1187	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
	1188	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
	1189	!-- maximal local temperature gradient: starting from the second (the last
	1190	!-- but one) vertical gridpoint, the local gradient must be at least
	1191	!-- 0.2K/100m and greater than the next four gradients.
	1192	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
	1193	!-- ocean case!
[1]	1194	z_i(2) = 0.0
[291]	1195	DO k = nzb+1, nzt+1
	1196	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
	1197	ENDDO
[1322]	1198	dptdz_threshold = 0.2_wp / 100.0_wp
[291]	1199
[97]	1200	IF ( ocean ) THEN
[291]	1201	DO k = nzt+1, nzb+5, -1
	1202	IF ( dptdz(k) > dptdz_threshold .AND. &
	1203	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
	1204	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
	1205	z_i(2) = zw(k-1)
[97]	1206	EXIT
	1207	ENDIF
	1208	ENDDO
	1209	ELSE
[291]	1210	DO k = nzb+1, nzt-3
	1211	IF ( dptdz(k) > dptdz_threshold .AND. &
	1212	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
	1213	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
	1214	z_i(2) = zw(k-1)
[97]	1215	EXIT
	1216	ENDIF
	1217	ENDDO
	1218	ENDIF
[1]	1219
[87]	1220	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	1221	hom(nzb+7,1,pr_palm,sr) = z_i(2)
[1]	1222
	1223	!
	1224	!-- Computation of both the characteristic vertical velocity and
	1225	!-- the characteristic convective boundary layer temperature.
	1226	!-- The horizontal average at nzb+1 is input for the average temperature.
[667]	1227	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
	1228	.AND. z_i(1) /= 0.0 ) THEN
[87]	1229	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
[94]	1230	hom(nzb,1,18,sr) * &
	1231	ABS( z_i(1) ) )**0.333333333
[1]	1232	!-- so far this only works if Prandtl layer is used
[87]	1233	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
[1]	1234	ELSE
[87]	1235	hom(nzb+8,1,pr_palm,sr) = 0.0
	1236	hom(nzb+11,1,pr_palm,sr) = 0.0
[1]	1237	ENDIF
	1238
[48]	1239	!
	1240	!-- Collect the time series quantities
[87]	1241	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	1242	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
[48]	1243	ts_value(3,sr) = dt_3d
[87]	1244	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	1245	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
[48]	1246	ts_value(6,sr) = u_max
	1247	ts_value(7,sr) = v_max
	1248	ts_value(8,sr) = w_max
[87]	1249	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	1250	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	1251	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	1252	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	1253	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
[48]	1254	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	1255	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	1256	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	1257	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	1258	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
[197]	1259	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
	1260	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
[343]	1261	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
[197]	1262
[48]	1263	IF ( ts_value(5,sr) /= 0.0 ) THEN
	1264	ts_value(22,sr) = ts_value(4,sr)**2 / &
	1265	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	1266	ELSE
	1267	ts_value(22,sr) = 10000.0
	1268	ENDIF
[1]	1269
[343]	1270	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
[1]	1271	!
[48]	1272	!-- Calculate additional statistics provided by the user interface
[87]	1273	CALL user_statistics( 'time_series', sr, 0 )
[1]	1274
[48]	1275	ENDDO ! loop of the subregions
	1276
[1]	1277	!
	1278	!-- If required, sum up horizontal averages for subsequent time averaging
	1279	IF ( do_sum ) THEN
	1280	IF ( average_count_pr == 0 ) hom_sum = 0.0
	1281	hom_sum = hom_sum + hom(:,1,:,:)
	1282	average_count_pr = average_count_pr + 1
	1283	do_sum = .FALSE.
	1284	ENDIF
	1285
	1286	!
	1287	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	1288	!-- This flag is reset after each time step in time_integration.
	1289	flow_statistics_called = .TRUE.
	1290
	1291	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	1292
	1293
	1294	END SUBROUTINE flow_statistics
[1221]	1295
	1296
	1297	#else
	1298
	1299
	1300	!------------------------------------------------------------------------------!
	1301	! flow statistics - accelerator version
	1302	!------------------------------------------------------------------------------!
	1303	SUBROUTINE flow_statistics
	1304
[1320]	1305	USE arrays_3d, &
	1306	ONLY: ddzu, ddzw, e, hyp, km, kh,nr, p, prho, pt, q, qc, ql, qr, &
	1307	qs, qsws, qswst, rho, sa, saswsb, saswst, shf, ts, tswst, u, &
	1308	ug, us, usws, uswst, vsws, v, vg, vpt, vswst, w, w_subs, zw
	1309
	1310	USE cloud_parameters, &
	1311	ONLY: l_d_cp, prr, pt_d_t
	1312
	1313	USE control_parameters, &
	1314	ONLY: average_count_pr, cloud_droplets, cloud_physics, do_sum, &
	1315	dt_3d, g, humidity, icloud_scheme, kappa, max_pr_user, &
	1316	message_string, ocean, passive_scalar, precipitation, &
	1317	use_surface_fluxes, use_top_fluxes, ws_scheme_mom, ws_scheme_sca
	1318
	1319	USE cpulog, &
	1320	ONLY: cpu_log, log_point
	1321
	1322	USE grid_variables, &
	1323	ONLY: ddx, ddy
	1324
	1325	USE indices, &
	1326	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, nxl, &
	1327	nxr, nyn, nys, nzb, nzb_diff_s_inner, nzb_s_inner, nzt, nzt_diff
	1328
	1329	USE kinds
	1330
[1221]	1331	USE pegrid
[1320]	1332
[1221]	1333	USE statistics
	1334
	1335	IMPLICIT NONE
	1336
[1320]	1337	INTEGER(iwp) :: i !:
	1338	INTEGER(iwp) :: j !:
	1339	INTEGER(iwp) :: k !:
	1340	INTEGER(iwp) :: omp_get_thread_num !:
	1341	INTEGER(iwp) :: sr !:
	1342	INTEGER(iwp) :: tn !:
	1343
	1344	LOGICAL :: first !:
	1345
	1346	REAL(wp) :: dptdz_threshold !:
	1347	REAL(wp) :: height !:
	1348	REAL(wp) :: pts !:
	1349	REAL(wp) :: sums_l_eper !:
	1350	REAL(wp) :: sums_l_etot !:
	1351	REAL(wp) :: s1 !:
	1352	REAL(wp) :: s2 !:
	1353	REAL(wp) :: s3 !:
	1354	REAL(wp) :: s4 !:
	1355	REAL(wp) :: s5 !:
	1356	REAL(wp) :: s6 !:
	1357	REAL(wp) :: s7 !:
	1358	REAL(wp) :: ust !:
	1359	REAL(wp) :: ust2 !:
	1360	REAL(wp) :: u2, !:
	1361	REAL(wp) :: vst !:
	1362	REAL(wp) :: vst2 !:
	1363	REAL(wp) :: v2 !:
	1364	REAL(wp) :: w2 !:
	1365	REAL(wp) :: z_i(2) !:
[1221]	1366
[1320]	1367	REAL(wp) :: dptdz(nzb+1:nzt+1) !:
	1368	REAL(wp) :: sums_ll(nzb:nzt+1,2) !:
	1369
[1221]	1370	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
	1371
	1372	!
	1373	!-- To be on the safe side, check whether flow_statistics has already been
	1374	!-- called once after the current time step
	1375	IF ( flow_statistics_called ) THEN
	1376
	1377	message_string = 'flow_statistics is called two times within one ' // &
	1378	'timestep'
	1379	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
	1380
	1381	ENDIF
	1382
	1383	!$acc data copyin( hom ) create( sums, sums_l )
	1384
	1385	!
	1386	!-- Compute statistics for each (sub-)region
	1387	DO sr = 0, statistic_regions
	1388
	1389	!
	1390	!-- Initialize (local) summation array
	1391	sums_l = 0.0
	1392
	1393	!
	1394	!-- Store sums that have been computed in other subroutines in summation
	1395	!-- array
	1396	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
	1397	!-- WARNING: next line still has to be adjusted for OpenMP
	1398	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
	1399	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
	1400	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
	1401
	1402	!
	1403	!-- Copy the turbulent quantities, evaluated in the advection routines to
	1404	!-- the local array sums_l() for further computations
	1405	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
	1406
	1407	!
	1408	!-- According to the Neumann bc for the horizontal velocity components,
	1409	!-- the corresponding fluxes has to satisfiy the same bc.
	1410	IF ( ocean ) THEN
	1411	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
	1412	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
	1413	ENDIF
	1414
	1415	DO i = 0, threads_per_task-1
	1416	!
	1417	!-- Swap the turbulent quantities evaluated in advec_ws.
	1418	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
	1419	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
	1420	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
	1421	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
	1422	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
	1423	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
	1424	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
	1425	sums_ws2_ws_l(:,i) ) ! e*
	1426	DO k = nzb, nzt
	1427	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
	1428	sums_us2_ws_l(k,i) + &
	1429	sums_vs2_ws_l(k,i) + &
	1430	sums_ws2_ws_l(k,i) )
	1431	ENDDO
	1432	ENDDO
	1433
	1434	ENDIF
	1435
	1436	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
	1437
	1438	DO i = 0, threads_per_task-1
	1439	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
	1440	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
	1441	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
	1442	sums_wsqs_ws_l(:,i) !wq
	1443	ENDDO
	1444
	1445	ENDIF
	1446	!
	1447	!-- Horizontally averaged profiles of horizontal velocities and temperature.
	1448	!-- They must have been computed before, because they are already required
	1449	!-- for other horizontal averages.
	1450	tn = 0
	1451
	1452	!$OMP PARALLEL PRIVATE( i, j, k, tn )
	1453	#if defined( __intel_openmp_bug )
	1454	tn = omp_get_thread_num()
	1455	#else
	1456	!$ tn = omp_get_thread_num()
	1457	#endif
	1458
	1459	!$acc update device( sums_l )
	1460
	1461	!$OMP DO
	1462	!$acc parallel loop gang present( pt, rflags_invers, rmask, sums_l, u, v ) create( s1, s2, s3 )
	1463	DO k = nzb, nzt+1
	1464	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
	1465	DO i = nxl, nxr
	1466	DO j = nys, nyn
	1467	!
	1468	!-- k+1 is used in rflags since rflags is set 0 at surface points
	1469	s1 = s1 + u(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1470	s2 = s2 + v(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1471	s3 = s3 + pt(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1472	ENDDO
	1473	ENDDO
	1474	sums_l(k,1,tn) = s1
	1475	sums_l(k,2,tn) = s2
	1476	sums_l(k,4,tn) = s3
	1477	ENDDO
[1257]	1478	!$acc end parallel loop
[1221]	1479
	1480	!
	1481	!-- Horizontally averaged profile of salinity
	1482	IF ( ocean ) THEN
	1483	!$OMP DO
	1484	!$acc parallel loop gang present( rflags_invers, rmask, sums_l, sa ) create( s1 )
	1485	DO k = nzb, nzt+1
	1486	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1487	DO i = nxl, nxr
	1488	DO j = nys, nyn
	1489	s1 = s1 + sa(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1490	ENDDO
	1491	ENDDO
	1492	sums_l(k,23,tn) = s1
	1493	ENDDO
[1257]	1494	!$acc end parallel loop
[1221]	1495	ENDIF
	1496
	1497	!
	1498	!-- Horizontally averaged profiles of virtual potential temperature,
	1499	!-- total water content, specific humidity and liquid water potential
	1500	!-- temperature
	1501	IF ( humidity ) THEN
	1502
	1503	!$OMP DO
	1504	!$acc parallel loop gang present( q, rflags_invers, rmask, sums_l, vpt ) create( s1, s2 )
	1505	DO k = nzb, nzt+1
	1506	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	1507	DO i = nxl, nxr
	1508	DO j = nys, nyn
	1509	s1 = s1 + q(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1510	s2 = s2 + vpt(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1511	ENDDO
	1512	ENDDO
	1513	sums_l(k,41,tn) = s1
	1514	sums_l(k,44,tn) = s2
	1515	ENDDO
[1257]	1516	!$acc end parallel loop
[1221]	1517
	1518	IF ( cloud_physics ) THEN
	1519	!$OMP DO
	1520	!$acc parallel loop gang present( pt, q, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
	1521	DO k = nzb, nzt+1
	1522	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	1523	DO i = nxl, nxr
	1524	DO j = nys, nyn
	1525	s1 = s1 + ( q(k,j,i) - ql(k,j,i) ) * &
	1526	rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1527	s2 = s2 + ( pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) ) * &
	1528	rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1529	ENDDO
	1530	ENDDO
	1531	sums_l(k,42,tn) = s1
	1532	sums_l(k,43,tn) = s2
	1533	ENDDO
[1257]	1534	!$acc end parallel loop
[1221]	1535	ENDIF
	1536	ENDIF
	1537
	1538	!
	1539	!-- Horizontally averaged profiles of passive scalar
	1540	IF ( passive_scalar ) THEN
	1541	!$OMP DO
	1542	!$acc parallel loop gang present( q, rflags_invers, rmask, sums_l ) create( s1 )
	1543	DO k = nzb, nzt+1
	1544	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1545	DO i = nxl, nxr
	1546	DO j = nys, nyn
	1547	s1 = s1 + q(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1548	ENDDO
	1549	ENDDO
	1550	sums_l(k,41,tn) = s1
	1551	ENDDO
[1257]	1552	!$acc end parallel loop
[1221]	1553	ENDIF
	1554	!$OMP END PARALLEL
	1555
	1556	!
	1557	!-- Summation of thread sums
	1558	IF ( threads_per_task > 1 ) THEN
	1559	DO i = 1, threads_per_task-1
	1560	!$acc parallel present( sums_l )
	1561	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
	1562	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
	1563	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
	1564	!$acc end parallel
	1565	IF ( ocean ) THEN
	1566	!$acc parallel present( sums_l )
	1567	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
	1568	!$acc end parallel
	1569	ENDIF
	1570	IF ( humidity ) THEN
	1571	!$acc parallel present( sums_l )
	1572	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	1573	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
	1574	!$acc end parallel
	1575	IF ( cloud_physics ) THEN
	1576	!$acc parallel present( sums_l )
	1577	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
	1578	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
	1579	!$acc end parallel
	1580	ENDIF
	1581	ENDIF
	1582	IF ( passive_scalar ) THEN
	1583	!$acc parallel present( sums_l )
	1584	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	1585	!$acc end parallel
	1586	ENDIF
	1587	ENDDO
	1588	ENDIF
	1589
	1590	#if defined( __parallel )
	1591	!
	1592	!-- Compute total sum from local sums
	1593	!$acc update host( sums_l )
	1594	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1595	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
	1596	MPI_SUM, comm2d, ierr )
	1597	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1598	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
	1599	MPI_SUM, comm2d, ierr )
	1600	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1601	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
	1602	MPI_SUM, comm2d, ierr )
	1603	IF ( ocean ) THEN
	1604	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1605	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
	1606	MPI_REAL, MPI_SUM, comm2d, ierr )
	1607	ENDIF
	1608	IF ( humidity ) THEN
	1609	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1610	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
	1611	MPI_REAL, MPI_SUM, comm2d, ierr )
	1612	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1613	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	1614	MPI_REAL, MPI_SUM, comm2d, ierr )
	1615	IF ( cloud_physics ) THEN
	1616	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1617	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
	1618	MPI_REAL, MPI_SUM, comm2d, ierr )
	1619	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1620	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
	1621	MPI_REAL, MPI_SUM, comm2d, ierr )
	1622	ENDIF
	1623	ENDIF
	1624
	1625	IF ( passive_scalar ) THEN
	1626	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	1627	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	1628	MPI_REAL, MPI_SUM, comm2d, ierr )
	1629	ENDIF
	1630	!$acc update device( sums )
	1631	#else
	1632	!$acc parallel present( sums, sums_l )
	1633	sums(:,1) = sums_l(:,1,0)
	1634	sums(:,2) = sums_l(:,2,0)
	1635	sums(:,4) = sums_l(:,4,0)
	1636	!$acc end parallel
	1637	IF ( ocean ) THEN
	1638	!$acc parallel present( sums, sums_l )
	1639	sums(:,23) = sums_l(:,23,0)
	1640	!$acc end parallel
	1641	ENDIF
	1642	IF ( humidity ) THEN
	1643	!$acc parallel present( sums, sums_l )
	1644	sums(:,44) = sums_l(:,44,0)
	1645	sums(:,41) = sums_l(:,41,0)
	1646	!$acc end parallel
	1647	IF ( cloud_physics ) THEN
	1648	!$acc parallel present( sums, sums_l )
	1649	sums(:,42) = sums_l(:,42,0)
	1650	sums(:,43) = sums_l(:,43,0)
	1651	!$acc end parallel
	1652	ENDIF
	1653	ENDIF
	1654	IF ( passive_scalar ) THEN
	1655	!$acc parallel present( sums, sums_l )
	1656	sums(:,41) = sums_l(:,41,0)
	1657	!$acc end parallel
	1658	ENDIF
	1659	#endif
	1660
	1661	!
	1662	!-- Final values are obtained by division by the total number of grid points
	1663	!-- used for summation. After that store profiles.
	1664	!$acc parallel present( hom, ngp_2dh, ngp_2dh_s_inner, sums )
	1665	sums(:,1) = sums(:,1) / ngp_2dh(sr)
	1666	sums(:,2) = sums(:,2) / ngp_2dh(sr)
	1667	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
	1668	hom(:,1,1,sr) = sums(:,1) ! u
	1669	hom(:,1,2,sr) = sums(:,2) ! v
	1670	hom(:,1,4,sr) = sums(:,4) ! pt
	1671	!$acc end parallel
	1672
	1673	!
	1674	!-- Salinity
	1675	IF ( ocean ) THEN
	1676	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
	1677	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
	1678	hom(:,1,23,sr) = sums(:,23) ! sa
	1679	!$acc end parallel
	1680	ENDIF
	1681
	1682	!
	1683	!-- Humidity and cloud parameters
	1684	IF ( humidity ) THEN
	1685	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
	1686	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
	1687	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
	1688	hom(:,1,44,sr) = sums(:,44) ! vpt
	1689	hom(:,1,41,sr) = sums(:,41) ! qv (q)
	1690	!$acc end parallel
	1691	IF ( cloud_physics ) THEN
	1692	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
	1693	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
	1694	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
	1695	hom(:,1,42,sr) = sums(:,42) ! qv
	1696	hom(:,1,43,sr) = sums(:,43) ! pt
	1697	!$acc end parallel
	1698	ENDIF
	1699	ENDIF
	1700
	1701	!
	1702	!-- Passive scalar
	1703	IF ( passive_scalar ) THEN
	1704	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
	1705	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
	1706	hom(:,1,41,sr) = sums(:,41) ! s (q)
	1707	!$acc end parallel
	1708	ENDIF
	1709
	1710	!
	1711	!-- Horizontally averaged profiles of the remaining prognostic variables,
	1712	!-- variances, the total and the perturbation energy (single values in last
	1713	!-- column of sums_l) and some diagnostic quantities.
	1714	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
	1715	!-- ---- speaking the following k-loop would have to be split up and
	1716	!-- rearranged according to the staggered grid.
	1717	!-- However, this implies no error since staggered velocity components
	1718	!-- are zero at the walls and inside buildings.
	1719	tn = 0
	1720	#if defined( __intel_openmp_bug )
	1721	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
	1722	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
	1723	tn = omp_get_thread_num()
	1724	#else
	1725	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
	1726	!$ tn = omp_get_thread_num()
	1727	#endif
	1728	!$OMP DO
	1729	!$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 )
	1730	DO k = nzb, nzt+1
	1731	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5, s6, s7 )
	1732	DO i = nxl, nxr
	1733	DO j = nys, nyn
	1734	!
	1735	!-- Prognostic and diagnostic variables
	1736	s1 = s1 + w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1737	s2 = s2 + e(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1738	s3 = s3 + km(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1739	s4 = s4 + kh(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1740	s5 = s5 + p(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1741	s6 = s6 + ( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr) * &
	1742	rflags_invers(j,i,k+1)
	1743	!
	1744	!-- Higher moments
	1745	!-- (Computation of the skewness of w further below)
	1746	s7 = s7 + w(k,j,i)*3 rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1747	ENDDO
	1748	ENDDO
	1749	sums_l(k,3,tn) = s1
	1750	sums_l(k,8,tn) = s2
	1751	sums_l(k,9,tn) = s3
	1752	sums_l(k,10,tn) = s4
	1753	sums_l(k,40,tn) = s5
	1754	sums_l(k,33,tn) = s6
	1755	sums_l(k,38,tn) = s7
	1756	ENDDO
[1257]	1757	!$acc end parallel loop
[1221]	1758
	1759	IF ( humidity ) THEN
	1760	!$OMP DO
	1761	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l ) create( s1 )
	1762	DO k = nzb, nzt+1
	1763	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1764	DO i = nxl, nxr
	1765	DO j = nys, nyn
	1766	s1 = s1 + ( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr) * &
	1767	rflags_invers(j,i,k+1)
	1768	ENDDO
	1769	ENDDO
	1770	sums_l(k,70,tn) = s1
	1771	ENDDO
[1257]	1772	!$acc end parallel loop
[1221]	1773	ENDIF
	1774
	1775	!
	1776	!-- Total and perturbation energy for the total domain (being
	1777	!-- collected in the last column of sums_l).
	1778	!$OMP DO
	1779	!$acc parallel loop collapse(3) present( rflags_invers, rmask, u, v, w ) reduction(+:s1)
	1780	DO i = nxl, nxr
	1781	DO j = nys, nyn
	1782	DO k = nzb, nzt+1
	1783	s1 = s1 + 0.5 * ( u(k,j,i)2 + v(k,j,i)2 + w(k,j,i)*2 ) &
	1784	rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1785	ENDDO
	1786	ENDDO
	1787	ENDDO
[1257]	1788	!$acc end parallel loop
[1221]	1789	!$acc parallel present( sums_l )
	1790	sums_l(nzb+4,pr_palm,tn) = s1
	1791	!$acc end parallel
	1792
	1793	!$OMP DO
	1794	!$acc parallel present( rmask, sums_l, us, usws, vsws, ts ) create( s1, s2, s3, s4 )
	1795	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
	1796	DO i = nxl, nxr
	1797	DO j = nys, nyn
	1798	!
	1799	!-- 2D-arrays (being collected in the last column of sums_l)
	1800	s1 = s1 + us(j,i) * rmask(j,i,sr)
	1801	s2 = s2 + usws(j,i) * rmask(j,i,sr)
	1802	s3 = s3 + vsws(j,i) * rmask(j,i,sr)
	1803	s4 = s4 + ts(j,i) * rmask(j,i,sr)
	1804	ENDDO
	1805	ENDDO
	1806	sums_l(nzb,pr_palm,tn) = s1
	1807	sums_l(nzb+1,pr_palm,tn) = s2
	1808	sums_l(nzb+2,pr_palm,tn) = s3
	1809	sums_l(nzb+3,pr_palm,tn) = s4
	1810	!$acc end parallel
	1811
	1812	IF ( humidity ) THEN
	1813	!$acc parallel present( qs, rmask, sums_l ) create( s1 )
	1814	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1815	DO i = nxl, nxr
	1816	DO j = nys, nyn
	1817	s1 = s1 + qs(j,i) * rmask(j,i,sr)
	1818	ENDDO
	1819	ENDDO
	1820	sums_l(nzb+12,pr_palm,tn) = s1
	1821	!$acc end parallel
	1822	ENDIF
	1823
	1824	!
	1825	!-- Computation of statistics when ws-scheme is not used. Else these
	1826	!-- quantities are evaluated in the advection routines.
	1827	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
	1828
	1829	!$OMP DO
	1830	!$acc parallel loop gang present( u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3, s4, ust2, vst2, w2 )
	1831	DO k = nzb, nzt+1
	1832	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
	1833	DO i = nxl, nxr
	1834	DO j = nys, nyn
	1835	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
	1836	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
	1837	w2 = w(k,j,i)**2
	1838
	1839	s1 = s1 + ust2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1840	s2 = s2 + vst2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1841	s3 = s3 + w2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1842	!
	1843	!-- Perturbation energy
	1844	s4 = s4 + 0.5 * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * &
	1845	rflags_invers(j,i,k+1)
	1846	ENDDO
	1847	ENDDO
	1848	sums_l(k,30,tn) = s1
	1849	sums_l(k,31,tn) = s2
	1850	sums_l(k,32,tn) = s3
	1851	sums_l(k,34,tn) = s4
	1852	ENDDO
[1257]	1853	!$acc end parallel loop
[1221]	1854	!
	1855	!-- Total perturbation TKE
	1856	!$OMP DO
	1857	!$acc parallel present( sums_l ) create( s1 )
	1858	!$acc loop reduction( +: s1 )
	1859	DO k = nzb, nzt+1
	1860	s1 = s1 + sums_l(k,34,tn)
	1861	ENDDO
	1862	sums_l(nzb+5,pr_palm,tn) = s1
	1863	!$acc end parallel
	1864
	1865	ENDIF
	1866
	1867	!
	1868	!-- Horizontally averaged profiles of the vertical fluxes
	1869
	1870	!
	1871	!-- Subgridscale fluxes.
	1872	!-- WARNING: If a Prandtl-layer is used (k=nzb for flat terrain), the fluxes
	1873	!-- ------- should be calculated there in a different way. This is done
	1874	!-- in the next loop further below, where results from this loop are
	1875	!-- overwritten. However, THIS WORKS IN CASE OF FLAT TERRAIN ONLY!
	1876	!-- The non-flat case still has to be handled.
	1877	!-- NOTE: for simplicity, nzb_s_inner is used below, although
	1878	!-- ---- strictly speaking the following k-loop would have to be
	1879	!-- split up according to the staggered grid.
	1880	!-- However, this implies no error since staggered velocity
	1881	!-- components are zero at the walls and inside buildings.
	1882	!$OMP DO
	1883	!$acc parallel loop gang present( ddzu, kh, km, pt, u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
	1884	DO k = nzb, nzt_diff
	1885	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
	1886	DO i = nxl, nxr
	1887	DO j = nys, nyn
	1888
	1889	!
	1890	!-- Momentum flux w"u"
	1891	s1 = s1 - 0.25 * ( &
	1892	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
	1893	) * ( &
	1894	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	1895	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	1896	) &
	1897	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1898	!
	1899	!-- Momentum flux w"v"
	1900	s2 = s2 - 0.25 * ( &
	1901	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
	1902	) * ( &
	1903	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	1904	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	1905	) &
	1906	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1907	!
	1908	!-- Heat flux w"pt"
	1909	s3 = s3 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	1910	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	1911	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1912	ENDDO
	1913	ENDDO
	1914	sums_l(k,12,tn) = s1
	1915	sums_l(k,14,tn) = s2
	1916	sums_l(k,16,tn) = s3
	1917	ENDDO
[1257]	1918	!$acc end parallel loop
[1221]	1919
	1920	!
	1921	!-- Salinity flux w"sa"
	1922	IF ( ocean ) THEN
	1923	!$acc parallel loop gang present( ddzu, kh, sa, rflags_invers, rmask, sums_l ) create( s1 )
	1924	DO k = nzb, nzt_diff
	1925	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1926	DO i = nxl, nxr
	1927	DO j = nys, nyn
	1928	s1 = s1 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	1929	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	1930	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1931	ENDDO
	1932	ENDDO
	1933	sums_l(k,65,tn) = s1
	1934	ENDDO
[1257]	1935	!$acc end parallel loop
[1221]	1936	ENDIF
	1937
	1938	!
	1939	!-- Buoyancy flux, water flux (humidity flux) w"q"
	1940	IF ( humidity ) THEN
	1941
	1942	!$acc parallel loop gang present( ddzu, kh, q, vpt, rflags_invers, rmask, sums_l ) create( s1, s2 )
	1943	DO k = nzb, nzt_diff
	1944	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	1945	DO i = nxl, nxr
	1946	DO j = nys, nyn
	1947	s1 = s1 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	1948	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	1949	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1950	s2 = s2 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	1951	* ( q(k+1,j,i) - q(k,j,i) ) &
	1952	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1953	ENDDO
	1954	ENDDO
	1955	sums_l(k,45,tn) = s1
	1956	sums_l(k,48,tn) = s2
	1957	ENDDO
[1257]	1958	!$acc end parallel loop
[1221]	1959
	1960	IF ( cloud_physics ) THEN
	1961
	1962	!$acc parallel loop gang present( ddzu, kh, q, ql, rflags_invers, rmask, sums_l ) create( s1 )
	1963	DO k = nzb, nzt_diff
	1964	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1965	DO i = nxl, nxr
	1966	DO j = nys, nyn
	1967	s1 = s1 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	1968	* ( ( q(k+1,j,i) - ql(k+1,j,i) ) &
	1969	- ( q(k,j,i) - ql(k,j,i) ) ) &
	1970	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1971	ENDDO
	1972	ENDDO
	1973	sums_l(k,51,tn) = s1
	1974	ENDDO
[1257]	1975	!$acc end parallel loop
[1221]	1976
	1977	ENDIF
	1978
	1979	ENDIF
	1980	!
	1981	!-- Passive scalar flux
	1982	IF ( passive_scalar ) THEN
	1983
	1984	!$acc parallel loop gang present( ddzu, kh, q, rflags_invers, rmask, sums_l ) create( s1 )
	1985	DO k = nzb, nzt_diff
	1986	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	1987	DO i = nxl, nxr
	1988	DO j = nys, nyn
	1989	s1 = s1 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	1990	* ( q(k+1,j,i) - q(k,j,i) ) &
	1991	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	1992	ENDDO
	1993	ENDDO
	1994	sums_l(k,48,tn) = s1
	1995	ENDDO
[1257]	1996	!$acc end parallel loop
[1221]	1997
	1998	ENDIF
	1999
	2000	IF ( use_surface_fluxes ) THEN
	2001
	2002	!$OMP DO
	2003	!$acc parallel present( rmask, shf, sums_l, usws, vsws ) create( s1, s2, s3, s4, s5 )
	2004	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
	2005	DO i = nxl, nxr
	2006	DO j = nys, nyn
	2007	!
	2008	!-- Subgridscale fluxes in the Prandtl layer
	2009	s1 = s1 + usws(j,i) * rmask(j,i,sr) ! w"u"
	2010	s2 = s2 + vsws(j,i) * rmask(j,i,sr) ! w"v"
	2011	s3 = s3 + shf(j,i) * rmask(j,i,sr) ! w"pt"
	2012	s4 = s4 + 0.0 * rmask(j,i,sr) ! u"pt"
	2013	s5 = s5 + 0.0 * rmask(j,i,sr) ! v"pt"
	2014	ENDDO
	2015	ENDDO
	2016	sums_l(nzb,12,tn) = s1
	2017	sums_l(nzb,14,tn) = s2
	2018	sums_l(nzb,16,tn) = s3
	2019	sums_l(nzb,58,tn) = s4
	2020	sums_l(nzb,61,tn) = s5
	2021	!$acc end parallel
	2022
	2023	IF ( ocean ) THEN
	2024
	2025	!$OMP DO
	2026	!$acc parallel present( rmask, saswsb, sums_l ) create( s1 )
	2027	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2028	DO i = nxl, nxr
	2029	DO j = nys, nyn
	2030	s1 = s1 + saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	2031	ENDDO
	2032	ENDDO
	2033	sums_l(nzb,65,tn) = s1
	2034	!$acc end parallel
	2035
	2036	ENDIF
	2037
	2038	IF ( humidity ) THEN
	2039
	2040	!$OMP DO
	2041	!$acc parallel present( pt, q, qsws, rmask, shf, sums_l ) create( s1, s2 )
	2042	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	2043	DO i = nxl, nxr
	2044	DO j = nys, nyn
	2045	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	2046	s2 = s2 + ( ( 1.0 + 0.61 * q(nzb,j,i) ) * shf(j,i) &
	2047	+ 0.61 * pt(nzb,j,i) * qsws(j,i) )
	2048	ENDDO
	2049	ENDDO
	2050	sums_l(nzb,48,tn) = s1
	2051	sums_l(nzb,45,tn) = s2
	2052	!$acc end parallel
	2053
	2054	IF ( cloud_droplets ) THEN
	2055
	2056	!$OMP DO
	2057	!$acc parallel present( pt, q, ql, qsws, rmask, shf, sums_l ) create( s1 )
	2058	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2059	DO i = nxl, nxr
	2060	DO j = nys, nyn
	2061	s1 = s1 + ( ( 1.0 + 0.61 * q(nzb,j,i) - ql(nzb,j,i) ) * &
	2062	shf(j,i) + 0.61 * pt(nzb,j,i) * qsws(j,i) )
	2063	ENDDO
	2064	ENDDO
	2065	sums_l(nzb,45,tn) = s1
	2066	!$acc end parallel
	2067
	2068	ENDIF
	2069
	2070	IF ( cloud_physics ) THEN
	2071
	2072	!$OMP DO
	2073	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
	2074	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2075	DO i = nxl, nxr
	2076	DO j = nys, nyn
	2077	!
	2078	!-- Formula does not work if ql(nzb) /= 0.0
	2079	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	2080	ENDDO
	2081	ENDDO
	2082	sums_l(nzb,51,tn) = s1
	2083	!$acc end parallel
	2084
	2085	ENDIF
	2086
	2087	ENDIF
	2088
	2089	IF ( passive_scalar ) THEN
	2090
	2091	!$OMP DO
	2092	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
	2093	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2094	DO i = nxl, nxr
	2095	DO j = nys, nyn
	2096	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	2097	ENDDO
	2098	ENDDO
	2099	sums_l(nzb,48,tn) = s1
	2100	!$acc end parallel
	2101
	2102	ENDIF
	2103
	2104	ENDIF
	2105
	2106	!
	2107	!-- Subgridscale fluxes at the top surface
	2108	IF ( use_top_fluxes ) THEN
	2109
	2110	!$OMP DO
	2111	!$acc parallel present( rmask, sums_l, tswst, uswst, vswst ) create( s1, s2, s3, s4, s5 )
	2112	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
	2113	DO i = nxl, nxr
	2114	DO j = nys, nyn
	2115	s1 = s1 + uswst(j,i) * rmask(j,i,sr) ! w"u"
	2116	s2 = s2 + vswst(j,i) * rmask(j,i,sr) ! w"v"
	2117	s3 = s3 + tswst(j,i) * rmask(j,i,sr) ! w"pt"
	2118	s4 = s4 + 0.0 * rmask(j,i,sr) ! u"pt"
	2119	s5 = s5 + 0.0 * rmask(j,i,sr) ! v"pt"
	2120	ENDDO
	2121	ENDDO
	2122	sums_l(nzt:nzt+1,12,tn) = s1
	2123	sums_l(nzt:nzt+1,14,tn) = s2
	2124	sums_l(nzt:nzt+1,16,tn) = s3
	2125	sums_l(nzt:nzt+1,58,tn) = s4
	2126	sums_l(nzt:nzt+1,61,tn) = s5
	2127	!$acc end parallel
	2128
	2129	IF ( ocean ) THEN
	2130
	2131	!$OMP DO
	2132	!$acc parallel present( rmask, saswst, sums_l ) create( s1 )
	2133	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2134	DO i = nxl, nxr
	2135	DO j = nys, nyn
	2136	s1 = s1 + saswst(j,i) * rmask(j,i,sr) ! w"sa"
	2137	ENDDO
	2138	ENDDO
	2139	sums_l(nzt,65,tn) = s1
	2140	!$acc end parallel
	2141
	2142	ENDIF
	2143
	2144	IF ( humidity ) THEN
	2145
	2146	!$OMP DO
	2147	!$acc parallel present( pt, q, qswst, rmask, tswst, sums_l ) create( s1, s2 )
	2148	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	2149	DO i = nxl, nxr
	2150	DO j = nys, nyn
	2151	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	2152	s2 = s2 + ( ( 1.0 + 0.61 * q(nzt,j,i) ) * tswst(j,i) + &
	2153	0.61 * pt(nzt,j,i) * qswst(j,i) )
	2154	ENDDO
	2155	ENDDO
	2156	sums_l(nzt,48,tn) = s1
	2157	sums_l(nzt,45,tn) = s2
	2158	!$acc end parallel
	2159
	2160	IF ( cloud_droplets ) THEN
	2161
	2162	!$OMP DO
	2163	!$acc parallel present( pt, q, ql, qswst, rmask, tswst, sums_l ) create( s1 )
	2164	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2165	DO i = nxl, nxr
	2166	DO j = nys, nyn
	2167	s1 = s1 + ( ( 1.0 + 0.61 * q(nzt,j,i) - ql(nzt,j,i) ) * &
	2168	tswst(j,i) + 0.61 * pt(nzt,j,i) * qswst(j,i) )
	2169	ENDDO
	2170	ENDDO
	2171	sums_l(nzt,45,tn) = s1
	2172	!$acc end parallel
	2173
	2174	ENDIF
	2175
	2176	IF ( cloud_physics ) THEN
	2177
	2178	!$OMP DO
	2179	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
	2180	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2181	DO i = nxl, nxr
	2182	DO j = nys, nyn
	2183	!
	2184	!-- Formula does not work if ql(nzb) /= 0.0
	2185	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	2186	ENDDO
	2187	ENDDO
	2188	sums_l(nzt,51,tn) = s1
	2189	!$acc end parallel
	2190
	2191	ENDIF
	2192
	2193	ENDIF
	2194
	2195	IF ( passive_scalar ) THEN
	2196
	2197	!$OMP DO
	2198	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
	2199	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2200	DO i = nxl, nxr
	2201	DO j = nys, nyn
	2202	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	2203	ENDDO
	2204	ENDDO
	2205	sums_l(nzt,48,tn) = s1
	2206	!$acc end parallel
	2207
	2208	ENDIF
	2209
	2210	ENDIF
	2211
	2212	!
	2213	!-- Resolved fluxes (can be computed for all horizontal points)
	2214	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
	2215	!-- ---- speaking the following k-loop would have to be split up and
	2216	!-- rearranged according to the staggered grid.
	2217	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2, s3 )
	2218	DO k = nzb, nzt_diff
	2219	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
	2220	DO i = nxl, nxr
	2221	DO j = nys, nyn
	2222	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	2223	u(k+1,j,i) - hom(k+1,1,1,sr) )
	2224	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	2225	v(k+1,j,i) - hom(k+1,1,2,sr) )
	2226	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	2227	pt(k+1,j,i) - hom(k+1,1,4,sr) )
	2228	!
	2229	!-- Higher moments
	2230	s1 = s1 + pts * w(k,j,i)*2 rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2231	s2 = s2 + pts*2 w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2232	!
	2233	!-- Energy flux we (has to be adjusted?)
	2234	s3 = s3 + w(k,j,i) * 0.5 * ( ust2 + vst2 + w(k,j,i)**2 ) &
	2235	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2236	ENDDO
	2237	ENDDO
	2238	sums_l(k,35,tn) = s1
	2239	sums_l(k,36,tn) = s2
	2240	sums_l(k,37,tn) = s3
	2241	ENDDO
[1257]	2242	!$acc end parallel loop
[1221]	2243
	2244	!
	2245	!-- Salinity flux and density (density does not belong to here,
	2246	!-- but so far there is no other suitable place to calculate)
	2247	IF ( ocean ) THEN
	2248
	2249	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	2250
	2251	!$acc parallel loop gang present( hom, rflags_invers, rmask, sa, sums_l, w ) create( s1 )
	2252	DO k = nzb, nzt_diff
	2253	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2254	DO i = nxl, nxr
	2255	DO j = nys, nyn
	2256	s1 = s1 + 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
	2257	sa(k+1,j,i) - hom(k+1,1,23,sr) ) &
	2258	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2259	ENDDO
	2260	ENDDO
	2261	sums_l(k,66,tn) = s1
	2262	ENDDO
[1257]	2263	!$acc end parallel loop
[1221]	2264
	2265	ENDIF
	2266
	2267	!$acc parallel loop gang present( rflags_invers, rho, prho, rmask, sums_l ) create( s1, s2 )
	2268	DO k = nzb, nzt_diff
	2269	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	2270	DO i = nxl, nxr
	2271	DO j = nys, nyn
	2272	s1 = s1 + rho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2273	s2 = s2 + prho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2274	ENDDO
	2275	ENDDO
	2276	sums_l(k,64,tn) = s1
	2277	sums_l(k,71,tn) = s2
	2278	ENDDO
[1257]	2279	!$acc end parallel loop
[1221]	2280
	2281	ENDIF
	2282
	2283	!
	2284	!-- Buoyancy flux, water flux, humidity flux, liquid water
	2285	!-- content, rain drop concentration and rain water content
	2286	IF ( humidity ) THEN
	2287
	2288	IF ( cloud_physics .OR. cloud_droplets ) THEN
	2289
	2290	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
	2291	DO k = nzb, nzt_diff
	2292	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2293	DO i = nxl, nxr
	2294	DO j = nys, nyn
	2295	s1 = s1 + 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	2296	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) * &
	2297	w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2298	ENDDO
	2299	ENDDO
	2300	sums_l(k,46,tn) = s1
	2301	ENDDO
[1257]	2302	!$acc end parallel loop
[1221]	2303
	2304	IF ( .NOT. cloud_droplets ) THEN
	2305
	2306	!$acc parallel loop gang present( hom, q, ql, rflags_invers, rmask, sums_l, w ) create( s1 )
	2307	DO k = nzb, nzt_diff
	2308	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2309	DO i = nxl, nxr
	2310	DO j = nys, nyn
	2311	s1 = s1 + 0.5 * ( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) + &
	2312	( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) ) &
	2313	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2314	ENDDO
	2315	ENDDO
	2316	sums_l(k,52,tn) = s1
	2317	ENDDO
[1257]	2318	!$acc end parallel loop
[1221]	2319
	2320	IF ( icloud_scheme == 0 ) THEN
	2321
	2322	!$acc parallel loop gang present( qc, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
	2323	DO k = nzb, nzt_diff
	2324	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	2325	DO i = nxl, nxr
	2326	DO j = nys, nyn
	2327	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2328	s2 = s2 + qc(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2329	ENDDO
	2330	ENDDO
	2331	sums_l(k,54,tn) = s1
	2332	sums_l(k,75,tn) = s2
	2333	ENDDO
[1257]	2334	!$acc end parallel loop
[1221]	2335
	2336	IF ( precipitation ) THEN
	2337
	2338	!$acc parallel loop gang present( nr, qr, prr, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
	2339	DO k = nzb, nzt_diff
	2340	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
	2341	DO i = nxl, nxr
	2342	DO j = nys, nyn
	2343	s1 = s1 + nr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2344	s2 = s2 + qr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2345	s3 = s3 + prr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2346	ENDDO
	2347	ENDDO
	2348	sums_l(k,73,tn) = s1
	2349	sums_l(k,74,tn) = s2
	2350	sums_l(k,76,tn) = s3
	2351	ENDDO
[1257]	2352	!$acc end parallel loop
[1221]	2353
	2354	ENDIF
	2355
	2356	ELSE
	2357
	2358	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
	2359	DO k = nzb, nzt_diff
	2360	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2361	DO i = nxl, nxr
	2362	DO j = nys, nyn
	2363	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2364	ENDDO
	2365	ENDDO
	2366	sums_l(k,54,tn) = s1
	2367	ENDDO
[1257]	2368	!$acc end parallel loop
[1221]	2369
	2370	ENDIF
	2371
	2372	ELSE
	2373
	2374	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
	2375	DO k = nzb, nzt_diff
	2376	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2377	DO i = nxl, nxr
	2378	DO j = nys, nyn
	2379	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2380	ENDDO
	2381	ENDDO
	2382	sums_l(k,54,tn) = s1
	2383	ENDDO
[1257]	2384	!$acc end parallel loop
[1221]	2385
	2386	ENDIF
	2387
	2388	ELSE
	2389
	2390	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	2391
	2392	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
	2393	DO k = nzb, nzt_diff
	2394	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2395	DO i = nxl, nxr
	2396	DO j = nys, nyn
	2397	s1 = s1 + 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	2398	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) &
	2399	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2400	ENDDO
	2401	ENDDO
	2402	sums_l(k,46,tn) = s1
	2403	ENDDO
[1257]	2404	!$acc end parallel loop
[1221]	2405
	2406	ELSEIF ( ws_scheme_sca .AND. sr == 0 ) THEN
	2407
	2408	!$acc parallel loop present( hom, sums_l )
	2409	DO k = nzb, nzt_diff
	2410	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * sums_l(k,17,tn) + &
	2411	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
	2412	ENDDO
[1257]	2413	!$acc end parallel loop
[1221]	2414
	2415	ENDIF
	2416
	2417	ENDIF
	2418
	2419	ENDIF
	2420	!
	2421	!-- Passive scalar flux
	2422	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca .OR. sr /= 0 ) ) THEN
	2423
	2424	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
	2425	DO k = nzb, nzt_diff
	2426	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2427	DO i = nxl, nxr
	2428	DO j = nys, nyn
	2429	s1 = s1 + 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	2430	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
	2431	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2432	ENDDO
	2433	ENDDO
	2434	sums_l(k,49,tn) = s1
	2435	ENDDO
[1257]	2436	!$acc end parallel loop
[1221]	2437
	2438	ENDIF
	2439
	2440	!
	2441	!-- For speed optimization fluxes which have been computed in part directly
	2442	!-- inside the WS advection routines are treated seperatly
	2443	!-- Momentum fluxes first:
	2444	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
	2445
	2446	!$OMP DO
	2447	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2 )
	2448	DO k = nzb, nzt_diff
	2449	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
	2450	DO i = nxl, nxr
	2451	DO j = nys, nyn
	2452	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	2453	u(k+1,j,i) - hom(k+1,1,1,sr) )
	2454	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	2455	v(k+1,j,i) - hom(k+1,1,2,sr) )
	2456	!
	2457	!-- Momentum flux wu
	2458	s1 = s1 + 0.5 * ( w(k,j,i-1) + w(k,j,i) ) &
	2459	* ust * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2460	!
	2461	!-- Momentum flux wv
	2462	s2 = s2 + 0.5 * ( w(k,j-1,i) + w(k,j,i) ) &
	2463	* vst * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2464	ENDDO
	2465	ENDDO
	2466	sums_l(k,13,tn) = s1
	2467	sums_l(k,15,tn) = s1
	2468	ENDDO
[1257]	2469	!$acc end parallel loop
[1221]	2470
	2471	ENDIF
	2472
	2473	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	2474
	2475	!$OMP DO
	2476	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, w ) create( s1 )
	2477	DO k = nzb, nzt_diff
	2478	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2479	DO i = nxl, nxr
	2480	DO j = nys, nyn
	2481	!
	2482	!-- Vertical heat flux
	2483	s1 = s1 + 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	2484	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
	2485	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2486	ENDDO
	2487	ENDDO
	2488	sums_l(k,17,tn) = s1
	2489	ENDDO
[1257]	2490	!$acc end parallel loop
[1221]	2491
	2492	IF ( humidity ) THEN
	2493
	2494	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
	2495	DO k = nzb, nzt_diff
	2496	!$acc loop vector collapse( 2 ) reduction( +: s1 )
	2497	DO i = nxl, nxr
	2498	DO j = nys, nyn
	2499	s1 = s1 + 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	2500	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
	2501	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
	2502	ENDDO
	2503	ENDDO
	2504	sums_l(k,49,tn) = s1
	2505	ENDDO
[1257]	2506	!$acc end parallel loop
[1221]	2507
	2508	ENDIF
	2509
	2510	ENDIF
	2511
	2512
	2513	!
	2514	!-- Density at top follows Neumann condition
	2515	IF ( ocean ) THEN
	2516	!$acc parallel present( sums_l )
	2517	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	2518	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
	2519	!$acc end parallel
	2520	ENDIF
	2521
	2522	!
	2523	!-- Divergence of vertical flux of resolved scale energy and pressure
	2524	!-- fluctuations as well as flux of pressure fluctuation itself (68).
	2525	!-- First calculate the products, then the divergence.
	2526	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
	2527	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
	2528
	2529	STOP '+++ openACC porting for vertical flux div of resolved scale TKE in flow_statistics is still missing'
	2530	sums_ll = 0.0 ! local array
	2531
	2532	!$OMP DO
	2533	DO i = nxl, nxr
	2534	DO j = nys, nyn
	2535	DO k = nzb_s_inner(j,i)+1, nzt
	2536
	2537	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	2538	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
	2539	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
	2540	) )**2 &
	2541	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
	2542	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
	2543	) )**2 &
	2544	+ w(k,j,i)**2 )
	2545
	2546	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	2547	* ( p(k,j,i) + p(k+1,j,i) )
	2548
	2549	ENDDO
	2550	ENDDO
	2551	ENDDO
	2552	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	2553	sums_ll(nzt+1,1) = 0.0
	2554	sums_ll(0,2) = 0.0
	2555	sums_ll(nzt+1,2) = 0.0
	2556
	2557	DO k = nzb+1, nzt
	2558	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	2559	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
	2560	sums_l(k,68,tn) = sums_ll(k,2)
	2561	ENDDO
	2562	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	2563	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
	2564	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
	2565
	2566	ENDIF
	2567
	2568	!
	2569	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
	2570	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
	2571
	2572	STOP '+++ openACC porting for vertical flux div of SGS TKE in flow_statistics is still missing'
	2573	!$OMP DO
	2574	DO i = nxl, nxr
	2575	DO j = nys, nyn
	2576	DO k = nzb_s_inner(j,i)+1, nzt
	2577
	2578	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
	2579	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	2580	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
	2581	) * ddzw(k)
	2582
	2583	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
	2584	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	2585	)
	2586
	2587	ENDDO
	2588	ENDDO
	2589	ENDDO
	2590	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
	2591	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
	2592
	2593	ENDIF
	2594
	2595	!
	2596	!-- Horizontal heat fluxes (subgrid, resolved, total).
	2597	!-- Do it only, if profiles shall be plotted.
	2598	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	2599
	2600	STOP '+++ openACC porting for horizontal flux calculation in flow_statistics is still missing'
	2601	!$OMP DO
	2602	DO i = nxl, nxr
	2603	DO j = nys, nyn
	2604	DO k = nzb_s_inner(j,i)+1, nzt
	2605	!
	2606	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	2607	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	2608	( kh(k,j,i) + kh(k,j,i-1) ) &
	2609	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	2610	* ddx * rmask(j,i,sr)
	2611	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	2612	( kh(k,j,i) + kh(k,j-1,i) ) &
	2613	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	2614	* ddy * rmask(j,i,sr)
	2615	!
	2616	!-- Resolved horizontal heat fluxes upt, vpt
	2617	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	2618	( u(k,j,i) - hom(k,1,1,sr) ) &
	2619	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	2620	pt(k,j,i) - hom(k,1,4,sr) )
	2621	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	2622	pt(k,j,i) - hom(k,1,4,sr) )
	2623	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	2624	( v(k,j,i) - hom(k,1,2,sr) ) &
	2625	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	2626	pt(k,j,i) - hom(k,1,4,sr) )
	2627	ENDDO
	2628	ENDDO
	2629	ENDDO
	2630	!
	2631	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
	2632	sums_l(nzb,58,tn) = 0.0
	2633	sums_l(nzb,59,tn) = 0.0
	2634	sums_l(nzb,60,tn) = 0.0
	2635	sums_l(nzb,61,tn) = 0.0
	2636	sums_l(nzb,62,tn) = 0.0
	2637	sums_l(nzb,63,tn) = 0.0
	2638
	2639	ENDIF
	2640
	2641	!
	2642	!-- Calculate the user-defined profiles
	2643	CALL user_statistics( 'profiles', sr, tn )
	2644	!$OMP END PARALLEL
	2645
	2646	!
	2647	!-- Summation of thread sums
	2648	IF ( threads_per_task > 1 ) THEN
	2649	STOP '+++ openACC porting for threads_per_task > 1 in flow_statistics is still missing'
	2650	DO i = 1, threads_per_task-1
	2651	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	2652	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
	2653	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	2654	sums_l(:,45:pr_palm,i)
	2655	IF ( max_pr_user > 0 ) THEN
	2656	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	2657	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	2658	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	2659	ENDIF
	2660	ENDDO
	2661	ENDIF
	2662
	2663	!$acc update host( hom, sums, sums_l )
	2664
	2665	#if defined( __parallel )
	2666
	2667	!
	2668	!-- Compute total sum from local sums
	2669	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
	2670	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	2671	MPI_SUM, comm2d, ierr )
	2672	#else
	2673	sums = sums_l(:,:,0)
	2674	#endif
	2675
	2676	!
	2677	!-- Final values are obtained by division by the total number of grid points
	2678	!-- used for summation. After that store profiles.
	2679	!-- Profiles:
	2680	DO k = nzb, nzt+1
	2681	sums(k,3) = sums(k,3) / ngp_2dh(sr)
	2682	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
	2683	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
	2684	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
	2685	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
	2686	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
	2687	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
	2688	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
	2689	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
	2690	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
	2691	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
	2692	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
	2693	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
	2694	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
	2695	ENDDO
	2696
	2697	!-- Upstream-parts
	2698	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
	2699	!-- u* and so on
	2700	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
	2701	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	2702	!-- above the topography, they are being divided by ngp_2dh(sr)
	2703	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
	2704	ngp_2dh(sr)
	2705	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
	2706	ngp_2dh(sr)
	2707	!-- eges, e*
	2708	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
	2709	ngp_3d(sr)
	2710	!-- Old and new divergence
	2711	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
	2712	ngp_3d_inner(sr)
	2713
	2714	!-- User-defined profiles
	2715	IF ( max_pr_user > 0 ) THEN
	2716	DO k = nzb, nzt+1
	2717	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	2718	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
	2719	ngp_2dh_s_inner(k,sr)
	2720	ENDDO
	2721	ENDIF
	2722
	2723	!
	2724	!-- Collect horizontal average in hom.
	2725	!-- Compute deduced averages (e.g. total heat flux)
	2726	hom(:,1,3,sr) = sums(:,3) ! w
	2727	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	2728	hom(:,1,9,sr) = sums(:,9) ! km
	2729	hom(:,1,10,sr) = sums(:,10) ! kh
	2730	hom(:,1,11,sr) = sums(:,11) ! l
	2731	hom(:,1,12,sr) = sums(:,12) ! w"u"
	2732	hom(:,1,13,sr) = sums(:,13) ! wu
	2733	hom(:,1,14,sr) = sums(:,14) ! w"v"
	2734	hom(:,1,15,sr) = sums(:,15) ! wv
	2735	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	2736	hom(:,1,17,sr) = sums(:,17) ! wpt
	2737	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	2738	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	2739	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	2740	hom(:,1,21,sr) = sums(:,21) ! wptBC
	2741	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
	2742	! profile 24 is initial profile (sa)
	2743	! profiles 25-29 left empty for initial
	2744	! profiles
	2745	hom(:,1,30,sr) = sums(:,30) ! u*2
	2746	hom(:,1,31,sr) = sums(:,31) ! v*2
	2747	hom(:,1,32,sr) = sums(:,32) ! w*2
	2748	hom(:,1,33,sr) = sums(:,33) ! pt*2
	2749	hom(:,1,34,sr) = sums(:,34) ! e*
	2750	hom(:,1,35,sr) = sums(:,35) ! w2pt
	2751	hom(:,1,36,sr) = sums(:,36) ! wpt2
	2752	hom(:,1,37,sr) = sums(:,37) ! we
	2753	hom(:,1,38,sr) = sums(:,38) ! w*3
	2754	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
	2755	hom(:,1,40,sr) = sums(:,40) ! p
	2756	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
	2757	hom(:,1,46,sr) = sums(:,46) ! wvpt
	2758	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	2759	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	2760	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	2761	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	2762	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	2763	hom(:,1,52,sr) = sums(:,52) ! wqv
	2764	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	2765	hom(:,1,54,sr) = sums(:,54) ! ql
	2766	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	2767	hom(:,1,56,sr) = sums(:,56) ! wp/dz
	2768	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
	2769	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	2770	hom(:,1,59,sr) = sums(:,59) ! upt
	2771	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	2772	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	2773	hom(:,1,62,sr) = sums(:,62) ! vpt
	2774	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
	2775	hom(:,1,64,sr) = sums(:,64) ! rho
	2776	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	2777	hom(:,1,66,sr) = sums(:,66) ! wsa
	2778	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
	2779	hom(:,1,68,sr) = sums(:,68) ! wp
	2780	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
	2781	hom(:,1,70,sr) = sums(:,70) ! q*2
	2782	hom(:,1,71,sr) = sums(:,71) ! prho
	2783	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
	2784	hom(:,1,73,sr) = sums(:,73) ! nr
	2785	hom(:,1,74,sr) = sums(:,74) ! qr
	2786	hom(:,1,75,sr) = sums(:,75) ! qc
	2787	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
	2788	! 77 is initial density profile
[1241]	2789	hom(:,1,78,sr) = ug ! ug
	2790	hom(:,1,79,sr) = vg ! vg
[1299]	2791	hom(:,1,80,sr) = w_subs ! w_subs
[1221]	2792
	2793	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
	2794	! upstream-parts u_x, u_y, u_z, v_x,
	2795	! v_y, usw. (in last but one profile)
	2796	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
	2797	! u, w'u', w'v', t (in last profile)
	2798
	2799	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	2800	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	2801	sums(:,pr_palm+1:pr_palm+max_pr_user)
	2802	ENDIF
	2803
	2804	!
	2805	!-- Determine the boundary layer height using two different schemes.
	2806	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	2807	!-- first relative minimum (maximum) of the total heat flux.
	2808	!-- The corresponding height is assumed as the boundary layer height, if it
	2809	!-- is less than 1.5 times the height where the heat flux becomes negative
	2810	!-- (positive) for the first time.
	2811	z_i(1) = 0.0
	2812	first = .TRUE.
	2813
	2814	IF ( ocean ) THEN
	2815	DO k = nzt, nzb+1, -1
	2816	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	2817	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
	2818	first = .FALSE.
	2819	height = zw(k)
	2820	ENDIF
	2821	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	2822	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
	2823	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	2824	IF ( zw(k) < 1.5 * height ) THEN
	2825	z_i(1) = zw(k)
	2826	ELSE
	2827	z_i(1) = height
	2828	ENDIF
	2829	EXIT
	2830	ENDIF
	2831	ENDDO
	2832	ELSE
	2833	DO k = nzb, nzt-1
	2834	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	2835	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
	2836	first = .FALSE.
	2837	height = zw(k)
	2838	ENDIF
	2839	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	2840	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
	2841	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	2842	IF ( zw(k) < 1.5 * height ) THEN
	2843	z_i(1) = zw(k)
	2844	ELSE
	2845	z_i(1) = height
	2846	ENDIF
	2847	EXIT
	2848	ENDIF
	2849	ENDDO
	2850	ENDIF
	2851
	2852	!
	2853	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
	2854	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
	2855	!-- maximal local temperature gradient: starting from the second (the last
	2856	!-- but one) vertical gridpoint, the local gradient must be at least
	2857	!-- 0.2K/100m and greater than the next four gradients.
	2858	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
	2859	!-- ocean case!
	2860	z_i(2) = 0.0
	2861	DO k = nzb+1, nzt+1
	2862	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
	2863	ENDDO
[1322]	2864	dptdz_threshold = 0.2_wp / 100.0_wp
[1221]	2865
	2866	IF ( ocean ) THEN
	2867	DO k = nzt+1, nzb+5, -1
	2868	IF ( dptdz(k) > dptdz_threshold .AND. &
	2869	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
	2870	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
	2871	z_i(2) = zw(k-1)
	2872	EXIT
	2873	ENDIF
	2874	ENDDO
	2875	ELSE
	2876	DO k = nzb+1, nzt-3
	2877	IF ( dptdz(k) > dptdz_threshold .AND. &
	2878	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
	2879	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
	2880	z_i(2) = zw(k-1)
	2881	EXIT
	2882	ENDIF
	2883	ENDDO
	2884	ENDIF
	2885
	2886	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	2887	hom(nzb+7,1,pr_palm,sr) = z_i(2)
	2888
	2889	!
	2890	!-- Computation of both the characteristic vertical velocity and
	2891	!-- the characteristic convective boundary layer temperature.
	2892	!-- The horizontal average at nzb+1 is input for the average temperature.
	2893	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
	2894	.AND. z_i(1) /= 0.0 ) THEN
	2895	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
	2896	hom(nzb,1,18,sr) * &
	2897	ABS( z_i(1) ) )**0.333333333
	2898	!-- so far this only works if Prandtl layer is used
	2899	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
	2900	ELSE
	2901	hom(nzb+8,1,pr_palm,sr) = 0.0
	2902	hom(nzb+11,1,pr_palm,sr) = 0.0
	2903	ENDIF
	2904
	2905	!
	2906	!-- Collect the time series quantities
	2907	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	2908	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
	2909	ts_value(3,sr) = dt_3d
	2910	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	2911	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
	2912	ts_value(6,sr) = u_max
	2913	ts_value(7,sr) = v_max
	2914	ts_value(8,sr) = w_max
	2915	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	2916	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	2917	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	2918	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	2919	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
	2920	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	2921	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	2922	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	2923	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	2924	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
	2925	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
	2926	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
	2927	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
	2928
	2929	IF ( ts_value(5,sr) /= 0.0 ) THEN
	2930	ts_value(22,sr) = ts_value(4,sr)**2 / &
	2931	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	2932	ELSE
	2933	ts_value(22,sr) = 10000.0
	2934	ENDIF
	2935
	2936	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
	2937	!
	2938	!-- Calculate additional statistics provided by the user interface
	2939	CALL user_statistics( 'time_series', sr, 0 )
	2940
	2941	ENDDO ! loop of the subregions
	2942
	2943	!$acc end data
	2944
	2945	!
	2946	!-- If required, sum up horizontal averages for subsequent time averaging
	2947	IF ( do_sum ) THEN
	2948	IF ( average_count_pr == 0 ) hom_sum = 0.0
	2949	hom_sum = hom_sum + hom(:,1,:,:)
	2950	average_count_pr = average_count_pr + 1
	2951	do_sum = .FALSE.
	2952	ENDIF
	2953
	2954	!
	2955	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	2956	!-- This flag is reset after each time step in time_integration.
	2957	flow_statistics_called = .TRUE.
	2958
	2959	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	2960
	2961
	2962	END SUBROUTINE flow_statistics
	2963	#endif

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