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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1300

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1	#if ! defined( __openacc )
2	SUBROUTINE flow_statistics
3
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	!
18	! Copyright 1997-2012 Leibniz University Hannover
19	!--------------------------------------------------------------------------------!
20	!
21	! Current revisions:
22	! -----------------
23	!
24	!
25	! Former revisions:
26	! -----------------
27	! $Id: flow_statistics.f90 1300 2014-03-06 13:18:34Z heinze $
28	!
29	! 1299 2014-03-06 13:15:21Z heinze
30	! Output of large scale vertical velocity w_subs
31	!
32	! 1257 2013-11-08 15:18:40Z raasch
33	! openacc "end parallel" replaced by "end parallel loop"
34	!
35	! 1241 2013-10-30 11:36:58Z heinze
36	! Output of ug and vg
37	!
38	! 1221 2013-09-10 08:59:13Z raasch
39	! ported for openACC in separate #else branch
40	!
41	! 1179 2013-06-14 05:57:58Z raasch
42	! comment for profile 77 added
43	!
44	! 1115 2013-03-26 18:16:16Z hoffmann
45	! ql is calculated by calc_liquid_water_content
46	!
47	! 1111 2013-03-08 23:54:10Z raasch
48	! openACC directive added
49	!
50	! 1053 2012-11-13 17:11:03Z hoffmann
51	! additions for two-moment cloud physics scheme:
52	! +nr, qr, qc, prr
53	!
54	! 1036 2012-10-22 13:43:42Z raasch
55	! code put under GPL (PALM 3.9)
56	!
57	! 1007 2012-09-19 14:30:36Z franke
58	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
59	! turbulent fluxes of WS-scheme
60	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
61	! droplets at nzb and nzt added
62	!
63	! 801 2012-01-10 17:30:36Z suehring
64	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
65	!
66	! 743 2011-08-18 16:10:16Z suehring
67	! Calculation of turbulent fluxes with WS-scheme only for the whole model
68	! domain, not for user-defined subregions.
69	!
70	! 709 2011-03-30 09:31:40Z raasch
71	! formatting adjustments
72	!
73	! 699 2011-03-22 17:52:22Z suehring
74	! Bugfix in calculation of vertical velocity skewness. The added absolute value
75	! avoid negative values in the root. Negative values of w'w' can occur at the
76	! top or bottom of the model domain due to degrading the order of advection
77	! scheme. Furthermore the calculation will be the same for all advection
78	! schemes.
79	!, tend
80	! 696 2011-03-18 07:03:49Z raasch
81	! Bugfix: Summation of Wicker-Skamarock scheme fluxes and variances for all
82	! threads
83	!
84	! 678 2011-02-02 14:31:56Z raasch
85	! Bugfix in calculation of the divergence of vertical flux of resolved scale
86	! energy, pressure fluctuations, and flux of pressure fluctuation itself
87	!
88	! 673 2011-01-18 16:19:48Z suehring
89	! Top bc for the horizontal velocity variances added for ocean runs.
90	! Setting the corresponding bottom bc moved to advec_ws.
91	!
92	! 667 2010-12-23 12:06:00Z suehring/gryschka
93	! When advection is computed with ws-scheme, turbulent fluxes are already
94	! computed in the respective advection routines and buffered in arrays
95	! sums_xx_ws_l(). This is due to a consistent treatment of statistics with the
96	! numerics and to avoid unphysical kinks near the surface.
97	! So some if requests has to be done to dicern between fluxes from ws-scheme
98	! other advection schemes.
99	! Furthermore the computation of z_i is only done if the heat flux exceeds a
100	! minimum value. This affects only simulations of a neutral boundary layer and
101	! is due to reasons of computations in the advection scheme.
102	!
103	! 624 2010-12-10 11:46:30Z heinze
104	! Calculation of q*2 added
105	!
106	! 622 2010-12-10 08:08:13Z raasch
107	! optional barriers included in order to speed up collective operations
108	!
109	! 388 2009-09-23 09:40:33Z raasch
110	! Vertical profiles of potential density and hydrostatic pressure are
111	! calculated.
112	! Added missing timeseries calculation of w"q"(0), moved timeseries q* to the
113	! end.
114	! Temperature gradient criterion for estimating the boundary layer height
115	! replaced by the gradient criterion of Sullivan et al. (1998).
116	! Output of messages replaced by message handling routine.
117	!
118	! 197 2008-09-16 15:29:03Z raasch
119	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
120	! added,
121	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
122	! (like other scalars)
123	!
124	! 133 2007-11-20 10:10:53Z letzel
125	! Vertical profiles now based on nzb_s_inner; they are divided by
126	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
127	! velocity components and their products, procucts of scalars and velocity
128	! components), respectively.
129	!
130	! 106 2007-08-16 14:30:26Z raasch
131	! Prescribed momentum fluxes at the top surface are used,
132	! profiles for wp and w"e are calculated
133	!
134	! 97 2007-06-21 08:23:15Z raasch
135	! Statistics for ocean version (salinity, density) added,
136	! calculation of z_i and Deardorff velocity scale adjusted to be used with
137	! the ocean version
138	!
139	! 87 2007-05-22 15:46:47Z raasch
140	! Two more arguments added to user_statistics, which is now also called for
141	! user-defined profiles,
142	! var_hom and var_sum renamed pr_palm
143	!
144	! 82 2007-04-16 15:40:52Z raasch
145	! Cpp-directive lcmuk changed to intel_openmp_bug
146	!
147	! 75 2007-03-22 09:54:05Z raasch
148	! Collection of time series quantities moved from routine flow_statistics to
149	! here, routine user_statistics is called for each statistic region,
150	! moisture renamed humidity
151	!
152	! 19 2007-02-23 04:53:48Z raasch
153	! fluxes at top modified (tswst, qswst)
154	!
155	! RCS Log replace by Id keyword, revision history cleaned up
156	!
157	! Revision 1.41 2006/08/04 14:37:50 raasch
158	! Error removed in non-parallel part (sums_l)
159	!
160	! Revision 1.1 1997/08/11 06:15:17 raasch
161	! Initial revision
162	!
163	!
164	! Description:
165	! ------------
166	! Compute average profiles and further average flow quantities for the different
167	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
168	!
169	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
170	! ---- lower vertical index for k-loops for all variables, although strictly
171	! speaking the k-loops would have to be split up according to the staggered
172	! grid. However, this implies no error since staggered velocity components are
173	! zero at the walls and inside buildings.
174	!------------------------------------------------------------------------------!
175
176	USE arrays_3d
177	USE cloud_parameters
178	USE control_parameters
179	USE cpulog
180	USE grid_variables
181	USE indices
182	USE interfaces
183	USE pegrid
184	USE statistics
185
186	IMPLICIT NONE
187
188	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
189	LOGICAL :: first
190	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
191	ust2, u2, vst, vst2, v2, w2, z_i(2)
192	REAL :: dptdz(nzb+1:nzt+1)
193	REAL :: sums_ll(nzb:nzt+1,2)
194
195	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
196
197	!$acc update host( km, kh, e, pt, qs, qsws, rif, shf, ts, u, usws, v, vsws, w )
198
199	!
200	!-- To be on the safe side, check whether flow_statistics has already been
201	!-- called once after the current time step
202	IF ( flow_statistics_called ) THEN
203
204	message_string = 'flow_statistics is called two times within one ' // &
205	'timestep'
206	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
207
208	ENDIF
209
210	!
211	!-- Compute statistics for each (sub-)region
212	DO sr = 0, statistic_regions
213
214	!
215	!-- Initialize (local) summation array
216	sums_l = 0.0
217
218	!
219	!-- Store sums that have been computed in other subroutines in summation
220	!-- array
221	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
222	!-- WARNING: next line still has to be adjusted for OpenMP
223	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
224	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
225	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
226
227	!
228	!-- Copy the turbulent quantities, evaluated in the advection routines to
229	!-- the local array sums_l() for further computations
230	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
231
232	!
233	!-- According to the Neumann bc for the horizontal velocity components,
234	!-- the corresponding fluxes has to satisfiy the same bc.
235	IF ( ocean ) THEN
236	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
237	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
238	ENDIF
239
240	DO i = 0, threads_per_task-1
241	!
242	!-- Swap the turbulent quantities evaluated in advec_ws.
243	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
244	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
245	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
246	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
247	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
248	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
249	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
250	sums_ws2_ws_l(:,i) ) ! e*
251	DO k = nzb, nzt
252	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
253	sums_us2_ws_l(k,i) + &
254	sums_vs2_ws_l(k,i) + &
255	sums_ws2_ws_l(k,i) )
256	ENDDO
257	ENDDO
258
259	ENDIF
260
261	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
262
263	DO i = 0, threads_per_task-1
264	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
265	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
266	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
267	sums_wsqs_ws_l(:,i) !wq
268	ENDDO
269
270	ENDIF
271	!
272	!-- Horizontally averaged profiles of horizontal velocities and temperature.
273	!-- They must have been computed before, because they are already required
274	!-- for other horizontal averages.
275	tn = 0
276
277	!$OMP PARALLEL PRIVATE( i, j, k, tn )
278	#if defined( __intel_openmp_bug )
279	tn = omp_get_thread_num()
280	#else
281	!$ tn = omp_get_thread_num()
282	#endif
283
284	!$OMP DO
285	DO i = nxl, nxr
286	DO j = nys, nyn
287	DO k = nzb_s_inner(j,i), nzt+1
288	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
289	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
290	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
291	ENDDO
292	ENDDO
293	ENDDO
294
295	!
296	!-- Horizontally averaged profile of salinity
297	IF ( ocean ) THEN
298	!$OMP DO
299	DO i = nxl, nxr
300	DO j = nys, nyn
301	DO k = nzb_s_inner(j,i), nzt+1
302	sums_l(k,23,tn) = sums_l(k,23,tn) + &
303	sa(k,j,i) * rmask(j,i,sr)
304	ENDDO
305	ENDDO
306	ENDDO
307	ENDIF
308
309	!
310	!-- Horizontally averaged profiles of virtual potential temperature,
311	!-- total water content, specific humidity and liquid water potential
312	!-- temperature
313	IF ( humidity ) THEN
314	!$OMP DO
315	DO i = nxl, nxr
316	DO j = nys, nyn
317	DO k = nzb_s_inner(j,i), nzt+1
318	sums_l(k,44,tn) = sums_l(k,44,tn) + &
319	vpt(k,j,i) * rmask(j,i,sr)
320	sums_l(k,41,tn) = sums_l(k,41,tn) + &
321	q(k,j,i) * rmask(j,i,sr)
322	ENDDO
323	ENDDO
324	ENDDO
325	IF ( cloud_physics ) THEN
326	!$OMP DO
327	DO i = nxl, nxr
328	DO j = nys, nyn
329	DO k = nzb_s_inner(j,i), nzt+1
330	sums_l(k,42,tn) = sums_l(k,42,tn) + &
331	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
332	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
333	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
334	) * rmask(j,i,sr)
335	ENDDO
336	ENDDO
337	ENDDO
338	ENDIF
339	ENDIF
340
341	!
342	!-- Horizontally averaged profiles of passive scalar
343	IF ( passive_scalar ) THEN
344	!$OMP DO
345	DO i = nxl, nxr
346	DO j = nys, nyn
347	DO k = nzb_s_inner(j,i), nzt+1
348	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
349	ENDDO
350	ENDDO
351	ENDDO
352	ENDIF
353	!$OMP END PARALLEL
354	!
355	!-- Summation of thread sums
356	IF ( threads_per_task > 1 ) THEN
357	DO i = 1, threads_per_task-1
358	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
359	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
360	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
361	IF ( ocean ) THEN
362	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
363	ENDIF
364	IF ( humidity ) THEN
365	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
366	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
367	IF ( cloud_physics ) THEN
368	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
369	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
370	ENDIF
371	ENDIF
372	IF ( passive_scalar ) THEN
373	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
374	ENDIF
375	ENDDO
376	ENDIF
377
378	#if defined( __parallel )
379	!
380	!-- Compute total sum from local sums
381	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
382	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
383	MPI_SUM, comm2d, ierr )
384	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
385	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
386	MPI_SUM, comm2d, ierr )
387	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
388	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
389	MPI_SUM, comm2d, ierr )
390	IF ( ocean ) THEN
391	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
392	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
393	MPI_REAL, MPI_SUM, comm2d, ierr )
394	ENDIF
395	IF ( humidity ) THEN
396	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
397	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
398	MPI_REAL, MPI_SUM, comm2d, ierr )
399	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
400	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
401	MPI_REAL, MPI_SUM, comm2d, ierr )
402	IF ( cloud_physics ) THEN
403	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
404	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
405	MPI_REAL, MPI_SUM, comm2d, ierr )
406	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
407	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
408	MPI_REAL, MPI_SUM, comm2d, ierr )
409	ENDIF
410	ENDIF
411
412	IF ( passive_scalar ) THEN
413	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
414	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
415	MPI_REAL, MPI_SUM, comm2d, ierr )
416	ENDIF
417	#else
418	sums(:,1) = sums_l(:,1,0)
419	sums(:,2) = sums_l(:,2,0)
420	sums(:,4) = sums_l(:,4,0)
421	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
422	IF ( humidity ) THEN
423	sums(:,44) = sums_l(:,44,0)
424	sums(:,41) = sums_l(:,41,0)
425	IF ( cloud_physics ) THEN
426	sums(:,42) = sums_l(:,42,0)
427	sums(:,43) = sums_l(:,43,0)
428	ENDIF
429	ENDIF
430	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
431	#endif
432
433	!
434	!-- Final values are obtained by division by the total number of grid points
435	!-- used for summation. After that store profiles.
436	sums(:,1) = sums(:,1) / ngp_2dh(sr)
437	sums(:,2) = sums(:,2) / ngp_2dh(sr)
438	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
439	hom(:,1,1,sr) = sums(:,1) ! u
440	hom(:,1,2,sr) = sums(:,2) ! v
441	hom(:,1,4,sr) = sums(:,4) ! pt
442
443
444	!
445	!-- Salinity
446	IF ( ocean ) THEN
447	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
448	hom(:,1,23,sr) = sums(:,23) ! sa
449	ENDIF
450
451	!
452	!-- Humidity and cloud parameters
453	IF ( humidity ) THEN
454	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
455	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
456	hom(:,1,44,sr) = sums(:,44) ! vpt
457	hom(:,1,41,sr) = sums(:,41) ! qv (q)
458	IF ( cloud_physics ) THEN
459	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
460	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
461	hom(:,1,42,sr) = sums(:,42) ! qv
462	hom(:,1,43,sr) = sums(:,43) ! pt
463	ENDIF
464	ENDIF
465
466	!
467	!-- Passive scalar
468	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
469	ngp_2dh_s_inner(:,sr) ! s (q)
470
471	!
472	!-- Horizontally averaged profiles of the remaining prognostic variables,
473	!-- variances, the total and the perturbation energy (single values in last
474	!-- column of sums_l) and some diagnostic quantities.
475	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
476	!-- ---- speaking the following k-loop would have to be split up and
477	!-- rearranged according to the staggered grid.
478	!-- However, this implies no error since staggered velocity components
479	!-- are zero at the walls and inside buildings.
480	tn = 0
481	#if defined( __intel_openmp_bug )
482	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
483	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
484	tn = omp_get_thread_num()
485	#else
486	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
487	!$ tn = omp_get_thread_num()
488	#endif
489	!$OMP DO
490	DO i = nxl, nxr
491	DO j = nys, nyn
492	sums_l_etot = 0.0
493	DO k = nzb_s_inner(j,i), nzt+1
494	!
495	!-- Prognostic and diagnostic variables
496	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
497	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
498	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
499	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
500	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
501
502	sums_l(k,33,tn) = sums_l(k,33,tn) + &
503	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
504
505	IF ( humidity ) THEN
506	sums_l(k,70,tn) = sums_l(k,70,tn) + &
507	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
508	ENDIF
509
510	!
511	!-- Higher moments
512	!-- (Computation of the skewness of w further below)
513	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
514
515	sums_l_etot = sums_l_etot + &
516	0.5 * ( u(k,j,i)2 + v(k,j,i)2 + &
517	w(k,j,i)*2 ) rmask(j,i,sr)
518	ENDDO
519	!
520	!-- Total and perturbation energy for the total domain (being
521	!-- collected in the last column of sums_l). Summation of these
522	!-- quantities is seperated from the previous loop in order to
523	!-- allow vectorization of that loop.
524	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
525	!
526	!-- 2D-arrays (being collected in the last column of sums_l)
527	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
528	us(j,i) * rmask(j,i,sr)
529	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
530	usws(j,i) * rmask(j,i,sr)
531	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
532	vsws(j,i) * rmask(j,i,sr)
533	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
534	ts(j,i) * rmask(j,i,sr)
535	IF ( humidity ) THEN
536	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
537	qs(j,i) * rmask(j,i,sr)
538	ENDIF
539	ENDDO
540	ENDDO
541
542	!
543	!-- Computation of statistics when ws-scheme is not used. Else these
544	!-- quantities are evaluated in the advection routines.
545	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
546	!$OMP DO
547	DO i = nxl, nxr
548	DO j = nys, nyn
549	sums_l_eper = 0.0
550	DO k = nzb_s_inner(j,i), nzt+1
551	u2 = u(k,j,i)**2
552	v2 = v(k,j,i)**2
553	w2 = w(k,j,i)**2
554	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
555	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
556
557	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
558	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
559	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
560	!
561	!-- Perturbation energy
562
563	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * &
564	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
565	sums_l_eper = sums_l_eper + &
566	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
567
568	ENDDO
569	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
570	+ sums_l_eper
571	ENDDO
572	ENDDO
573	ENDIF
574
575	!
576	!-- Horizontally averaged profiles of the vertical fluxes
577
578	!$OMP DO
579	DO i = nxl, nxr
580	DO j = nys, nyn
581	!
582	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
583	!-- oterwise from k=nzb+1)
584	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
585	!-- ---- strictly speaking the following k-loop would have to be
586	!-- split up according to the staggered grid.
587	!-- However, this implies no error since staggered velocity
588	!-- components are zero at the walls and inside buildings.
589
590	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
591	!
592	!-- Momentum flux w"u"
593	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
594	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
595	) * ( &
596	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
597	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
598	) * rmask(j,i,sr)
599	!
600	!-- Momentum flux w"v"
601	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
602	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
603	) * ( &
604	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
605	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
606	) * rmask(j,i,sr)
607	!
608	!-- Heat flux w"pt"
609	sums_l(k,16,tn) = sums_l(k,16,tn) &
610	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
611	* ( pt(k+1,j,i) - pt(k,j,i) ) &
612	* ddzu(k+1) * rmask(j,i,sr)
613
614
615	!
616	!-- Salinity flux w"sa"
617	IF ( ocean ) THEN
618	sums_l(k,65,tn) = sums_l(k,65,tn) &
619	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
620	* ( sa(k+1,j,i) - sa(k,j,i) ) &
621	* ddzu(k+1) * rmask(j,i,sr)
622	ENDIF
623
624	!
625	!-- Buoyancy flux, water flux (humidity flux) w"q"
626	IF ( humidity ) THEN
627	sums_l(k,45,tn) = sums_l(k,45,tn) &
628	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
629	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
630	* ddzu(k+1) * rmask(j,i,sr)
631	sums_l(k,48,tn) = sums_l(k,48,tn) &
632	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
633	* ( q(k+1,j,i) - q(k,j,i) ) &
634	* ddzu(k+1) * rmask(j,i,sr)
635
636	IF ( cloud_physics ) THEN
637	sums_l(k,51,tn) = sums_l(k,51,tn) &
638	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
639	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
640	- ( q(k,j,i) - ql(k,j,i) ) ) &
641	* ddzu(k+1) * rmask(j,i,sr)
642	ENDIF
643	ENDIF
644
645	!
646	!-- Passive scalar flux
647	IF ( passive_scalar ) THEN
648	sums_l(k,48,tn) = sums_l(k,48,tn) &
649	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
650	* ( q(k+1,j,i) - q(k,j,i) ) &
651	* ddzu(k+1) * rmask(j,i,sr)
652	ENDIF
653
654	ENDDO
655
656	!
657	!-- Subgridscale fluxes in the Prandtl layer
658	IF ( use_surface_fluxes ) THEN
659	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
660	usws(j,i) * rmask(j,i,sr) ! w"u"
661	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
662	vsws(j,i) * rmask(j,i,sr) ! w"v"
663	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
664	shf(j,i) * rmask(j,i,sr) ! w"pt"
665	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
666	0.0 * rmask(j,i,sr) ! u"pt"
667	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
668	0.0 * rmask(j,i,sr) ! v"pt"
669	IF ( ocean ) THEN
670	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
671	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
672	ENDIF
673	IF ( humidity ) THEN
674	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
675	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
676	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
677	( 1.0 + 0.61 * q(nzb,j,i) ) * &
678	shf(j,i) + 0.61 * pt(nzb,j,i) * &
679	qsws(j,i) )
680	IF ( cloud_droplets ) THEN
681	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
682	( 1.0 + 0.61 * q(nzb,j,i) - &
683	ql(nzb,j,i) ) * shf(j,i) + &
684	0.61 * pt(nzb,j,i) * qsws(j,i) )
685	ENDIF
686	IF ( cloud_physics ) THEN
687	!
688	!-- Formula does not work if ql(nzb) /= 0.0
689	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
690	qsws(j,i) * rmask(j,i,sr)
691	ENDIF
692	ENDIF
693	IF ( passive_scalar ) THEN
694	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
695	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
696	ENDIF
697	ENDIF
698
699	!
700	!-- Subgridscale fluxes at the top surface
701	IF ( use_top_fluxes ) THEN
702	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
703	uswst(j,i) * rmask(j,i,sr) ! w"u"
704	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
705	vswst(j,i) * rmask(j,i,sr) ! w"v"
706	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
707	tswst(j,i) * rmask(j,i,sr) ! w"pt"
708	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
709	0.0 * rmask(j,i,sr) ! u"pt"
710	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
711	0.0 * rmask(j,i,sr) ! v"pt"
712
713	IF ( ocean ) THEN
714	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
715	saswst(j,i) * rmask(j,i,sr) ! w"sa"
716	ENDIF
717	IF ( humidity ) THEN
718	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
719	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
720	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
721	( 1.0 + 0.61 * q(nzt,j,i) ) * &
722	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
723	qswst(j,i) )
724	IF ( cloud_droplets ) THEN
725	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
726	( 1.0 + 0.61 * q(nzt,j,i) - &
727	ql(nzt,j,i) ) * tswst(j,i) + &
728	0.61 * pt(nzt,j,i) * qswst(j,i) )
729	ENDIF
730	IF ( cloud_physics ) THEN
731	!
732	!-- Formula does not work if ql(nzb) /= 0.0
733	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
734	qswst(j,i) * rmask(j,i,sr)
735	ENDIF
736	ENDIF
737	IF ( passive_scalar ) THEN
738	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
739	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
740	ENDIF
741	ENDIF
742
743	!
744	!-- Resolved fluxes (can be computed for all horizontal points)
745	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
746	!-- ---- speaking the following k-loop would have to be split up and
747	!-- rearranged according to the staggered grid.
748	DO k = nzb_s_inner(j,i), nzt
749	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
750	u(k+1,j,i) - hom(k+1,1,1,sr) )
751	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
752	v(k+1,j,i) - hom(k+1,1,2,sr) )
753	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
754	pt(k+1,j,i) - hom(k+1,1,4,sr) )
755
756	!-- Higher moments
757	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
758	rmask(j,i,sr)
759	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
760	rmask(j,i,sr)
761
762	!
763	!-- Salinity flux and density (density does not belong to here,
764	!-- but so far there is no other suitable place to calculate)
765	IF ( ocean ) THEN
766	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
767	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
768	sa(k+1,j,i) - hom(k+1,1,23,sr) )
769	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
770	rmask(j,i,sr)
771	ENDIF
772	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
773	rmask(j,i,sr)
774	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
775	rmask(j,i,sr)
776	ENDIF
777
778	!
779	!-- Buoyancy flux, water flux, humidity flux, liquid water
780	!-- content, rain drop concentration and rain water content
781	IF ( humidity ) THEN
782	IF ( cloud_physics .OR. cloud_droplets ) THEN
783	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
784	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
785	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
786	rmask(j,i,sr)
787	IF ( .NOT. cloud_droplets ) THEN
788	pts = 0.5 * &
789	( ( q(k,j,i) - ql(k,j,i) ) - &
790	hom(k,1,42,sr) + &
791	( q(k+1,j,i) - ql(k+1,j,i) ) - &
792	hom(k+1,1,42,sr) )
793	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
794	rmask(j,i,sr)
795	IF ( icloud_scheme == 0 ) THEN
796	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
797	rmask(j,i,sr)
798	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
799	rmask(j,i,sr)
800	IF ( precipitation ) THEN
801	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
802	rmask(j,i,sr)
803	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
804	rmask(j,i,sr)
805	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) *&
806	rmask(j,i,sr)
807	ENDIF
808	ELSE
809	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
810	rmask(j,i,sr)
811	ENDIF
812	ELSE
813	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
814	rmask(j,i,sr)
815	ENDIF
816	ELSE
817	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
818	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
819	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
820	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
821	rmask(j,i,sr)
822	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
823	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * &
824	sums_l(k,17,tn) + &
825	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
826	END IF
827	END IF
828	ENDIF
829	!
830	!-- Passive scalar flux
831	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
832	.OR. sr /= 0 ) ) THEN
833	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
834	q(k+1,j,i) - hom(k+1,1,41,sr) )
835	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
836	rmask(j,i,sr)
837	ENDIF
838
839	!
840	!-- Energy flux we
841	!-- has to be adjusted
842	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
843	( ust2 + vst2 + w(k,j,i)**2 )&
844	* rmask(j,i,sr)
845	ENDDO
846	ENDDO
847	ENDDO
848	!
849	!-- For speed optimization fluxes which have been computed in part directly
850	!-- inside the WS advection routines are treated seperatly
851	!-- Momentum fluxes first:
852	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
853	!$OMP DO
854	DO i = nxl, nxr
855	DO j = nys, nyn
856	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
857	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
858	u(k+1,j,i) - hom(k+1,1,1,sr) )
859	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
860	v(k+1,j,i) - hom(k+1,1,2,sr) )
861	!
862	!-- Momentum flux wu
863	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
864	( w(k,j,i-1) + w(k,j,i) ) &
865	* ust * rmask(j,i,sr)
866	!
867	!-- Momentum flux wv
868	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
869	( w(k,j-1,i) + w(k,j,i) ) &
870	* vst * rmask(j,i,sr)
871	ENDDO
872	ENDDO
873	ENDDO
874
875	ENDIF
876	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
877	!$OMP DO
878	DO i = nxl, nxr
879	DO j = nys, nyn
880	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
881	!
882	!-- Vertical heat flux
883	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
884	( pt(k,j,i) - hom(k,1,4,sr) + &
885	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
886	* w(k,j,i) * rmask(j,i,sr)
887	IF ( humidity ) THEN
888	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
889	q(k+1,j,i) - hom(k+1,1,41,sr) )
890	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
891	rmask(j,i,sr)
892	ENDIF
893	ENDDO
894	ENDDO
895	ENDDO
896
897	ENDIF
898
899	!
900	!-- Density at top follows Neumann condition
901	IF ( ocean ) THEN
902	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
903	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
904	ENDIF
905
906	!
907	!-- Divergence of vertical flux of resolved scale energy and pressure
908	!-- fluctuations as well as flux of pressure fluctuation itself (68).
909	!-- First calculate the products, then the divergence.
910	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
911	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
912
913	sums_ll = 0.0 ! local array
914
915	!$OMP DO
916	DO i = nxl, nxr
917	DO j = nys, nyn
918	DO k = nzb_s_inner(j,i)+1, nzt
919
920	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
921	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
922	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
923	) )**2 &
924	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
925	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
926	) )**2 &
927	+ w(k,j,i)**2 )
928
929	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
930	* ( p(k,j,i) + p(k+1,j,i) )
931
932	ENDDO
933	ENDDO
934	ENDDO
935	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
936	sums_ll(nzt+1,1) = 0.0
937	sums_ll(0,2) = 0.0
938	sums_ll(nzt+1,2) = 0.0
939
940	DO k = nzb+1, nzt
941	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
942	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
943	sums_l(k,68,tn) = sums_ll(k,2)
944	ENDDO
945	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
946	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
947	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
948
949	ENDIF
950
951	!
952	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
953	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
954
955	!$OMP DO
956	DO i = nxl, nxr
957	DO j = nys, nyn
958	DO k = nzb_s_inner(j,i)+1, nzt
959
960	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
961	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
962	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
963	) * ddzw(k)
964
965	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
966	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
967	)
968
969	ENDDO
970	ENDDO
971	ENDDO
972	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
973	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
974
975	ENDIF
976
977	!
978	!-- Horizontal heat fluxes (subgrid, resolved, total).
979	!-- Do it only, if profiles shall be plotted.
980	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
981
982	!$OMP DO
983	DO i = nxl, nxr
984	DO j = nys, nyn
985	DO k = nzb_s_inner(j,i)+1, nzt
986	!
987	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
988	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
989	( kh(k,j,i) + kh(k,j,i-1) ) &
990	* ( pt(k,j,i-1) - pt(k,j,i) ) &
991	* ddx * rmask(j,i,sr)
992	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
993	( kh(k,j,i) + kh(k,j-1,i) ) &
994	* ( pt(k,j-1,i) - pt(k,j,i) ) &
995	* ddy * rmask(j,i,sr)
996	!
997	!-- Resolved horizontal heat fluxes upt, vpt
998	sums_l(k,59,tn) = sums_l(k,59,tn) + &
999	( u(k,j,i) - hom(k,1,1,sr) ) &
1000	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1001	pt(k,j,i) - hom(k,1,4,sr) )
1002	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1003	pt(k,j,i) - hom(k,1,4,sr) )
1004	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1005	( v(k,j,i) - hom(k,1,2,sr) ) &
1006	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1007	pt(k,j,i) - hom(k,1,4,sr) )
1008	ENDDO
1009	ENDDO
1010	ENDDO
1011	!
1012	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1013	sums_l(nzb,58,tn) = 0.0
1014	sums_l(nzb,59,tn) = 0.0
1015	sums_l(nzb,60,tn) = 0.0
1016	sums_l(nzb,61,tn) = 0.0
1017	sums_l(nzb,62,tn) = 0.0
1018	sums_l(nzb,63,tn) = 0.0
1019
1020	ENDIF
1021
1022	!
1023	!-- Calculate the user-defined profiles
1024	CALL user_statistics( 'profiles', sr, tn )
1025	!$OMP END PARALLEL
1026
1027	!
1028	!-- Summation of thread sums
1029	IF ( threads_per_task > 1 ) THEN
1030	DO i = 1, threads_per_task-1
1031	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1032	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1033	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1034	sums_l(:,45:pr_palm,i)
1035	IF ( max_pr_user > 0 ) THEN
1036	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1037	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1038	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1039	ENDIF
1040	ENDDO
1041	ENDIF
1042
1043	#if defined( __parallel )
1044
1045	!
1046	!-- Compute total sum from local sums
1047	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1048	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1049	MPI_SUM, comm2d, ierr )
1050	#else
1051	sums = sums_l(:,:,0)
1052	#endif
1053
1054	!
1055	!-- Final values are obtained by division by the total number of grid points
1056	!-- used for summation. After that store profiles.
1057	!-- Profiles:
1058	DO k = nzb, nzt+1
1059	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1060	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1061	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1062	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1063	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1064	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1065	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1066	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1067	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1068	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1069	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1070	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1071	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
1072	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
1073	ENDDO
1074
1075	!-- Upstream-parts
1076	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
1077	!-- u* and so on
1078	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1079	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1080	!-- above the topography, they are being divided by ngp_2dh(sr)
1081	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1082	ngp_2dh(sr)
1083	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1084	ngp_2dh(sr)
1085	!-- eges, e*
1086	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1087	ngp_3d(sr)
1088	!-- Old and new divergence
1089	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1090	ngp_3d_inner(sr)
1091
1092	!-- User-defined profiles
1093	IF ( max_pr_user > 0 ) THEN
1094	DO k = nzb, nzt+1
1095	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1096	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1097	ngp_2dh_s_inner(k,sr)
1098	ENDDO
1099	ENDIF
1100
1101	!
1102	!-- Collect horizontal average in hom.
1103	!-- Compute deduced averages (e.g. total heat flux)
1104	hom(:,1,3,sr) = sums(:,3) ! w
1105	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1106	hom(:,1,9,sr) = sums(:,9) ! km
1107	hom(:,1,10,sr) = sums(:,10) ! kh
1108	hom(:,1,11,sr) = sums(:,11) ! l
1109	hom(:,1,12,sr) = sums(:,12) ! w"u"
1110	hom(:,1,13,sr) = sums(:,13) ! wu
1111	hom(:,1,14,sr) = sums(:,14) ! w"v"
1112	hom(:,1,15,sr) = sums(:,15) ! wv
1113	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1114	hom(:,1,17,sr) = sums(:,17) ! wpt
1115	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1116	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1117	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1118	hom(:,1,21,sr) = sums(:,21) ! wptBC
1119	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1120	! profile 24 is initial profile (sa)
1121	! profiles 25-29 left empty for initial
1122	! profiles
1123	hom(:,1,30,sr) = sums(:,30) ! u*2
1124	hom(:,1,31,sr) = sums(:,31) ! v*2
1125	hom(:,1,32,sr) = sums(:,32) ! w*2
1126	hom(:,1,33,sr) = sums(:,33) ! pt*2
1127	hom(:,1,34,sr) = sums(:,34) ! e*
1128	hom(:,1,35,sr) = sums(:,35) ! w2pt
1129	hom(:,1,36,sr) = sums(:,36) ! wpt2
1130	hom(:,1,37,sr) = sums(:,37) ! we
1131	hom(:,1,38,sr) = sums(:,38) ! w*3
1132	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
1133	hom(:,1,40,sr) = sums(:,40) ! p
1134	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1135	hom(:,1,46,sr) = sums(:,46) ! wvpt
1136	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1137	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1138	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1139	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1140	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1141	hom(:,1,52,sr) = sums(:,52) ! wqv
1142	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1143	hom(:,1,54,sr) = sums(:,54) ! ql
1144	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1145	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1146	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
1147	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1148	hom(:,1,59,sr) = sums(:,59) ! upt
1149	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1150	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1151	hom(:,1,62,sr) = sums(:,62) ! vpt
1152	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1153	hom(:,1,64,sr) = sums(:,64) ! rho
1154	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1155	hom(:,1,66,sr) = sums(:,66) ! wsa
1156	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1157	hom(:,1,68,sr) = sums(:,68) ! wp
1158	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
1159	hom(:,1,70,sr) = sums(:,70) ! q*2
1160	hom(:,1,71,sr) = sums(:,71) ! prho
1161	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
1162	hom(:,1,73,sr) = sums(:,73) ! nr
1163	hom(:,1,74,sr) = sums(:,74) ! qr
1164	hom(:,1,75,sr) = sums(:,75) ! qc
1165	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1166	! 77 is initial density profile
1167	hom(:,1,78,sr) = ug ! ug
1168	hom(:,1,79,sr) = vg ! vg
1169	hom(:,1,80,sr) = w_subs ! w_subs
1170
1171	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
1172	! upstream-parts u_x, u_y, u_z, v_x,
1173	! v_y, usw. (in last but one profile)
1174	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
1175	! u, w'u', w'v', t (in last profile)
1176
1177	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
1178	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
1179	sums(:,pr_palm+1:pr_palm+max_pr_user)
1180	ENDIF
1181
1182	!
1183	!-- Determine the boundary layer height using two different schemes.
1184	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
1185	!-- first relative minimum (maximum) of the total heat flux.
1186	!-- The corresponding height is assumed as the boundary layer height, if it
1187	!-- is less than 1.5 times the height where the heat flux becomes negative
1188	!-- (positive) for the first time.
1189	z_i(1) = 0.0
1190	first = .TRUE.
1191
1192	IF ( ocean ) THEN
1193	DO k = nzt, nzb+1, -1
1194	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
1195	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
1196	first = .FALSE.
1197	height = zw(k)
1198	ENDIF
1199	IF ( hom(k,1,18,sr) < 0.0 .AND. &
1200	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
1201	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
1202	IF ( zw(k) < 1.5 * height ) THEN
1203	z_i(1) = zw(k)
1204	ELSE
1205	z_i(1) = height
1206	ENDIF
1207	EXIT
1208	ENDIF
1209	ENDDO
1210	ELSE
1211	DO k = nzb, nzt-1
1212	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
1213	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
1214	first = .FALSE.
1215	height = zw(k)
1216	ENDIF
1217	IF ( hom(k,1,18,sr) < 0.0 .AND. &
1218	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
1219	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
1220	IF ( zw(k) < 1.5 * height ) THEN
1221	z_i(1) = zw(k)
1222	ELSE
1223	z_i(1) = height
1224	ENDIF
1225	EXIT
1226	ENDIF
1227	ENDDO
1228	ENDIF
1229
1230	!
1231	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
1232	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
1233	!-- maximal local temperature gradient: starting from the second (the last
1234	!-- but one) vertical gridpoint, the local gradient must be at least
1235	!-- 0.2K/100m and greater than the next four gradients.
1236	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
1237	!-- ocean case!
1238	z_i(2) = 0.0
1239	DO k = nzb+1, nzt+1
1240	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
1241	ENDDO
1242	dptdz_threshold = 0.2 / 100.0
1243
1244	IF ( ocean ) THEN
1245	DO k = nzt+1, nzb+5, -1
1246	IF ( dptdz(k) > dptdz_threshold .AND. &
1247	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
1248	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
1249	z_i(2) = zw(k-1)
1250	EXIT
1251	ENDIF
1252	ENDDO
1253	ELSE
1254	DO k = nzb+1, nzt-3
1255	IF ( dptdz(k) > dptdz_threshold .AND. &
1256	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
1257	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
1258	z_i(2) = zw(k-1)
1259	EXIT
1260	ENDIF
1261	ENDDO
1262	ENDIF
1263
1264	hom(nzb+6,1,pr_palm,sr) = z_i(1)
1265	hom(nzb+7,1,pr_palm,sr) = z_i(2)
1266
1267	!
1268	!-- Computation of both the characteristic vertical velocity and
1269	!-- the characteristic convective boundary layer temperature.
1270	!-- The horizontal average at nzb+1 is input for the average temperature.
1271	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
1272	.AND. z_i(1) /= 0.0 ) THEN
1273	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
1274	hom(nzb,1,18,sr) * &
1275	ABS( z_i(1) ) )**0.333333333
1276	!-- so far this only works if Prandtl layer is used
1277	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
1278	ELSE
1279	hom(nzb+8,1,pr_palm,sr) = 0.0
1280	hom(nzb+11,1,pr_palm,sr) = 0.0
1281	ENDIF
1282
1283	!
1284	!-- Collect the time series quantities
1285	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
1286	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
1287	ts_value(3,sr) = dt_3d
1288	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
1289	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
1290	ts_value(6,sr) = u_max
1291	ts_value(7,sr) = v_max
1292	ts_value(8,sr) = w_max
1293	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
1294	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
1295	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
1296	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
1297	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
1298	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
1299	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
1300	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
1301	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
1302	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
1303	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
1304	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
1305	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
1306
1307	IF ( ts_value(5,sr) /= 0.0 ) THEN
1308	ts_value(22,sr) = ts_value(4,sr)**2 / &
1309	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
1310	ELSE
1311	ts_value(22,sr) = 10000.0
1312	ENDIF
1313
1314	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
1315	!
1316	!-- Calculate additional statistics provided by the user interface
1317	CALL user_statistics( 'time_series', sr, 0 )
1318
1319	ENDDO ! loop of the subregions
1320
1321	!
1322	!-- If required, sum up horizontal averages for subsequent time averaging
1323	IF ( do_sum ) THEN
1324	IF ( average_count_pr == 0 ) hom_sum = 0.0
1325	hom_sum = hom_sum + hom(:,1,:,:)
1326	average_count_pr = average_count_pr + 1
1327	do_sum = .FALSE.
1328	ENDIF
1329
1330	!
1331	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
1332	!-- This flag is reset after each time step in time_integration.
1333	flow_statistics_called = .TRUE.
1334
1335	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
1336
1337
1338	END SUBROUTINE flow_statistics
1339
1340
1341	#else
1342
1343
1344	!------------------------------------------------------------------------------!
1345	! flow statistics - accelerator version
1346	!------------------------------------------------------------------------------!
1347	SUBROUTINE flow_statistics
1348
1349	USE arrays_3d
1350	USE cloud_parameters
1351	USE control_parameters
1352	USE cpulog
1353	USE grid_variables
1354	USE indices
1355	USE interfaces
1356	USE pegrid
1357	USE statistics
1358
1359	IMPLICIT NONE
1360
1361	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
1362	LOGICAL :: first
1363	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
1364	ust2, u2, vst, vst2, v2, w2, z_i(2)
1365	REAL :: s1, s2, s3, s4, s5, s6, s7
1366	REAL :: dptdz(nzb+1:nzt+1)
1367	REAL :: sums_ll(nzb:nzt+1,2)
1368
1369	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
1370
1371	!
1372	!-- To be on the safe side, check whether flow_statistics has already been
1373	!-- called once after the current time step
1374	IF ( flow_statistics_called ) THEN
1375
1376	message_string = 'flow_statistics is called two times within one ' // &
1377	'timestep'
1378	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
1379
1380	ENDIF
1381
1382	!$acc data copyin( hom ) create( sums, sums_l )
1383
1384	!
1385	!-- Compute statistics for each (sub-)region
1386	DO sr = 0, statistic_regions
1387
1388	!
1389	!-- Initialize (local) summation array
1390	sums_l = 0.0
1391
1392	!
1393	!-- Store sums that have been computed in other subroutines in summation
1394	!-- array
1395	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
1396	!-- WARNING: next line still has to be adjusted for OpenMP
1397	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
1398	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
1399	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
1400
1401	!
1402	!-- Copy the turbulent quantities, evaluated in the advection routines to
1403	!-- the local array sums_l() for further computations
1404	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
1405
1406	!
1407	!-- According to the Neumann bc for the horizontal velocity components,
1408	!-- the corresponding fluxes has to satisfiy the same bc.
1409	IF ( ocean ) THEN
1410	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
1411	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
1412	ENDIF
1413
1414	DO i = 0, threads_per_task-1
1415	!
1416	!-- Swap the turbulent quantities evaluated in advec_ws.
1417	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
1418	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
1419	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
1420	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
1421	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
1422	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
1423	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
1424	sums_ws2_ws_l(:,i) ) ! e*
1425	DO k = nzb, nzt
1426	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
1427	sums_us2_ws_l(k,i) + &
1428	sums_vs2_ws_l(k,i) + &
1429	sums_ws2_ws_l(k,i) )
1430	ENDDO
1431	ENDDO
1432
1433	ENDIF
1434
1435	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1436
1437	DO i = 0, threads_per_task-1
1438	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
1439	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
1440	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
1441	sums_wsqs_ws_l(:,i) !wq
1442	ENDDO
1443
1444	ENDIF
1445	!
1446	!-- Horizontally averaged profiles of horizontal velocities and temperature.
1447	!-- They must have been computed before, because they are already required
1448	!-- for other horizontal averages.
1449	tn = 0
1450
1451	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1452	#if defined( __intel_openmp_bug )
1453	tn = omp_get_thread_num()
1454	#else
1455	!$ tn = omp_get_thread_num()
1456	#endif
1457
1458	!$acc update device( sums_l )
1459
1460	!$OMP DO
1461	!$acc parallel loop gang present( pt, rflags_invers, rmask, sums_l, u, v ) create( s1, s2, s3 )
1462	DO k = nzb, nzt+1
1463	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
1464	DO i = nxl, nxr
1465	DO j = nys, nyn
1466	!
1467	!-- k+1 is used in rflags since rflags is set 0 at surface points
1468	s1 = s1 + u(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1469	s2 = s2 + v(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1470	s3 = s3 + pt(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1471	ENDDO
1472	ENDDO
1473	sums_l(k,1,tn) = s1
1474	sums_l(k,2,tn) = s2
1475	sums_l(k,4,tn) = s3
1476	ENDDO
1477	!$acc end parallel loop
1478
1479	!
1480	!-- Horizontally averaged profile of salinity
1481	IF ( ocean ) THEN
1482	!$OMP DO
1483	!$acc parallel loop gang present( rflags_invers, rmask, sums_l, sa ) create( s1 )
1484	DO k = nzb, nzt+1
1485	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1486	DO i = nxl, nxr
1487	DO j = nys, nyn
1488	s1 = s1 + sa(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1489	ENDDO
1490	ENDDO
1491	sums_l(k,23,tn) = s1
1492	ENDDO
1493	!$acc end parallel loop
1494	ENDIF
1495
1496	!
1497	!-- Horizontally averaged profiles of virtual potential temperature,
1498	!-- total water content, specific humidity and liquid water potential
1499	!-- temperature
1500	IF ( humidity ) THEN
1501
1502	!$OMP DO
1503	!$acc parallel loop gang present( q, rflags_invers, rmask, sums_l, vpt ) create( s1, s2 )
1504	DO k = nzb, nzt+1
1505	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
1506	DO i = nxl, nxr
1507	DO j = nys, nyn
1508	s1 = s1 + q(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1509	s2 = s2 + vpt(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1510	ENDDO
1511	ENDDO
1512	sums_l(k,41,tn) = s1
1513	sums_l(k,44,tn) = s2
1514	ENDDO
1515	!$acc end parallel loop
1516
1517	IF ( cloud_physics ) THEN
1518	!$OMP DO
1519	!$acc parallel loop gang present( pt, q, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
1520	DO k = nzb, nzt+1
1521	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
1522	DO i = nxl, nxr
1523	DO j = nys, nyn
1524	s1 = s1 + ( q(k,j,i) - ql(k,j,i) ) * &
1525	rmask(j,i,sr) * rflags_invers(j,i,k+1)
1526	s2 = s2 + ( pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) ) * &
1527	rmask(j,i,sr) * rflags_invers(j,i,k+1)
1528	ENDDO
1529	ENDDO
1530	sums_l(k,42,tn) = s1
1531	sums_l(k,43,tn) = s2
1532	ENDDO
1533	!$acc end parallel loop
1534	ENDIF
1535	ENDIF
1536
1537	!
1538	!-- Horizontally averaged profiles of passive scalar
1539	IF ( passive_scalar ) THEN
1540	!$OMP DO
1541	!$acc parallel loop gang present( q, rflags_invers, rmask, sums_l ) create( s1 )
1542	DO k = nzb, nzt+1
1543	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1544	DO i = nxl, nxr
1545	DO j = nys, nyn
1546	s1 = s1 + q(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1547	ENDDO
1548	ENDDO
1549	sums_l(k,41,tn) = s1
1550	ENDDO
1551	!$acc end parallel loop
1552	ENDIF
1553	!$OMP END PARALLEL
1554
1555	!
1556	!-- Summation of thread sums
1557	IF ( threads_per_task > 1 ) THEN
1558	DO i = 1, threads_per_task-1
1559	!$acc parallel present( sums_l )
1560	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
1561	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
1562	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
1563	!$acc end parallel
1564	IF ( ocean ) THEN
1565	!$acc parallel present( sums_l )
1566	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
1567	!$acc end parallel
1568	ENDIF
1569	IF ( humidity ) THEN
1570	!$acc parallel present( sums_l )
1571	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
1572	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
1573	!$acc end parallel
1574	IF ( cloud_physics ) THEN
1575	!$acc parallel present( sums_l )
1576	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
1577	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
1578	!$acc end parallel
1579	ENDIF
1580	ENDIF
1581	IF ( passive_scalar ) THEN
1582	!$acc parallel present( sums_l )
1583	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
1584	!$acc end parallel
1585	ENDIF
1586	ENDDO
1587	ENDIF
1588
1589	#if defined( __parallel )
1590	!
1591	!-- Compute total sum from local sums
1592	!$acc update host( sums_l )
1593	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1594	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
1595	MPI_SUM, comm2d, ierr )
1596	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1597	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
1598	MPI_SUM, comm2d, ierr )
1599	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1600	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
1601	MPI_SUM, comm2d, ierr )
1602	IF ( ocean ) THEN
1603	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1604	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
1605	MPI_REAL, MPI_SUM, comm2d, ierr )
1606	ENDIF
1607	IF ( humidity ) THEN
1608	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1609	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
1610	MPI_REAL, MPI_SUM, comm2d, ierr )
1611	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1612	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
1613	MPI_REAL, MPI_SUM, comm2d, ierr )
1614	IF ( cloud_physics ) THEN
1615	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1616	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
1617	MPI_REAL, MPI_SUM, comm2d, ierr )
1618	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1619	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
1620	MPI_REAL, MPI_SUM, comm2d, ierr )
1621	ENDIF
1622	ENDIF
1623
1624	IF ( passive_scalar ) THEN
1625	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1626	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
1627	MPI_REAL, MPI_SUM, comm2d, ierr )
1628	ENDIF
1629	!$acc update device( sums )
1630	#else
1631	!$acc parallel present( sums, sums_l )
1632	sums(:,1) = sums_l(:,1,0)
1633	sums(:,2) = sums_l(:,2,0)
1634	sums(:,4) = sums_l(:,4,0)
1635	!$acc end parallel
1636	IF ( ocean ) THEN
1637	!$acc parallel present( sums, sums_l )
1638	sums(:,23) = sums_l(:,23,0)
1639	!$acc end parallel
1640	ENDIF
1641	IF ( humidity ) THEN
1642	!$acc parallel present( sums, sums_l )
1643	sums(:,44) = sums_l(:,44,0)
1644	sums(:,41) = sums_l(:,41,0)
1645	!$acc end parallel
1646	IF ( cloud_physics ) THEN
1647	!$acc parallel present( sums, sums_l )
1648	sums(:,42) = sums_l(:,42,0)
1649	sums(:,43) = sums_l(:,43,0)
1650	!$acc end parallel
1651	ENDIF
1652	ENDIF
1653	IF ( passive_scalar ) THEN
1654	!$acc parallel present( sums, sums_l )
1655	sums(:,41) = sums_l(:,41,0)
1656	!$acc end parallel
1657	ENDIF
1658	#endif
1659
1660	!
1661	!-- Final values are obtained by division by the total number of grid points
1662	!-- used for summation. After that store profiles.
1663	!$acc parallel present( hom, ngp_2dh, ngp_2dh_s_inner, sums )
1664	sums(:,1) = sums(:,1) / ngp_2dh(sr)
1665	sums(:,2) = sums(:,2) / ngp_2dh(sr)
1666	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
1667	hom(:,1,1,sr) = sums(:,1) ! u
1668	hom(:,1,2,sr) = sums(:,2) ! v
1669	hom(:,1,4,sr) = sums(:,4) ! pt
1670	!$acc end parallel
1671
1672	!
1673	!-- Salinity
1674	IF ( ocean ) THEN
1675	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
1676	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
1677	hom(:,1,23,sr) = sums(:,23) ! sa
1678	!$acc end parallel
1679	ENDIF
1680
1681	!
1682	!-- Humidity and cloud parameters
1683	IF ( humidity ) THEN
1684	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
1685	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
1686	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
1687	hom(:,1,44,sr) = sums(:,44) ! vpt
1688	hom(:,1,41,sr) = sums(:,41) ! qv (q)
1689	!$acc end parallel
1690	IF ( cloud_physics ) THEN
1691	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
1692	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
1693	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
1694	hom(:,1,42,sr) = sums(:,42) ! qv
1695	hom(:,1,43,sr) = sums(:,43) ! pt
1696	!$acc end parallel
1697	ENDIF
1698	ENDIF
1699
1700	!
1701	!-- Passive scalar
1702	IF ( passive_scalar ) THEN
1703	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
1704	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
1705	hom(:,1,41,sr) = sums(:,41) ! s (q)
1706	!$acc end parallel
1707	ENDIF
1708
1709	!
1710	!-- Horizontally averaged profiles of the remaining prognostic variables,
1711	!-- variances, the total and the perturbation energy (single values in last
1712	!-- column of sums_l) and some diagnostic quantities.
1713	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
1714	!-- ---- speaking the following k-loop would have to be split up and
1715	!-- rearranged according to the staggered grid.
1716	!-- However, this implies no error since staggered velocity components
1717	!-- are zero at the walls and inside buildings.
1718	tn = 0
1719	#if defined( __intel_openmp_bug )
1720	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
1721	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
1722	tn = omp_get_thread_num()
1723	#else
1724	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
1725	!$ tn = omp_get_thread_num()
1726	#endif
1727	!$OMP DO
1728	!$acc parallel loop gang present( e, hom, kh, km, p, pt, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3, s4, s5, s6, s7 )
1729	DO k = nzb, nzt+1
1730	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5, s6, s7 )
1731	DO i = nxl, nxr
1732	DO j = nys, nyn
1733	!
1734	!-- Prognostic and diagnostic variables
1735	s1 = s1 + w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1736	s2 = s2 + e(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1737	s3 = s3 + km(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1738	s4 = s4 + kh(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1739	s5 = s5 + p(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1740	s6 = s6 + ( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr) * &
1741	rflags_invers(j,i,k+1)
1742	!
1743	!-- Higher moments
1744	!-- (Computation of the skewness of w further below)
1745	s7 = s7 + w(k,j,i)*3 rmask(j,i,sr) * rflags_invers(j,i,k+1)
1746	ENDDO
1747	ENDDO
1748	sums_l(k,3,tn) = s1
1749	sums_l(k,8,tn) = s2
1750	sums_l(k,9,tn) = s3
1751	sums_l(k,10,tn) = s4
1752	sums_l(k,40,tn) = s5
1753	sums_l(k,33,tn) = s6
1754	sums_l(k,38,tn) = s7
1755	ENDDO
1756	!$acc end parallel loop
1757
1758	IF ( humidity ) THEN
1759	!$OMP DO
1760	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l ) create( s1 )
1761	DO k = nzb, nzt+1
1762	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1763	DO i = nxl, nxr
1764	DO j = nys, nyn
1765	s1 = s1 + ( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr) * &
1766	rflags_invers(j,i,k+1)
1767	ENDDO
1768	ENDDO
1769	sums_l(k,70,tn) = s1
1770	ENDDO
1771	!$acc end parallel loop
1772	ENDIF
1773
1774	!
1775	!-- Total and perturbation energy for the total domain (being
1776	!-- collected in the last column of sums_l).
1777	!$OMP DO
1778	!$acc parallel loop collapse(3) present( rflags_invers, rmask, u, v, w ) reduction(+:s1)
1779	DO i = nxl, nxr
1780	DO j = nys, nyn
1781	DO k = nzb, nzt+1
1782	s1 = s1 + 0.5 * ( u(k,j,i)2 + v(k,j,i)2 + w(k,j,i)*2 ) &
1783	rmask(j,i,sr) * rflags_invers(j,i,k+1)
1784	ENDDO
1785	ENDDO
1786	ENDDO
1787	!$acc end parallel loop
1788	!$acc parallel present( sums_l )
1789	sums_l(nzb+4,pr_palm,tn) = s1
1790	!$acc end parallel
1791
1792	!$OMP DO
1793	!$acc parallel present( rmask, sums_l, us, usws, vsws, ts ) create( s1, s2, s3, s4 )
1794	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
1795	DO i = nxl, nxr
1796	DO j = nys, nyn
1797	!
1798	!-- 2D-arrays (being collected in the last column of sums_l)
1799	s1 = s1 + us(j,i) * rmask(j,i,sr)
1800	s2 = s2 + usws(j,i) * rmask(j,i,sr)
1801	s3 = s3 + vsws(j,i) * rmask(j,i,sr)
1802	s4 = s4 + ts(j,i) * rmask(j,i,sr)
1803	ENDDO
1804	ENDDO
1805	sums_l(nzb,pr_palm,tn) = s1
1806	sums_l(nzb+1,pr_palm,tn) = s2
1807	sums_l(nzb+2,pr_palm,tn) = s3
1808	sums_l(nzb+3,pr_palm,tn) = s4
1809	!$acc end parallel
1810
1811	IF ( humidity ) THEN
1812	!$acc parallel present( qs, rmask, sums_l ) create( s1 )
1813	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1814	DO i = nxl, nxr
1815	DO j = nys, nyn
1816	s1 = s1 + qs(j,i) * rmask(j,i,sr)
1817	ENDDO
1818	ENDDO
1819	sums_l(nzb+12,pr_palm,tn) = s1
1820	!$acc end parallel
1821	ENDIF
1822
1823	!
1824	!-- Computation of statistics when ws-scheme is not used. Else these
1825	!-- quantities are evaluated in the advection routines.
1826	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1827
1828	!$OMP DO
1829	!$acc parallel loop gang present( u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3, s4, ust2, vst2, w2 )
1830	DO k = nzb, nzt+1
1831	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
1832	DO i = nxl, nxr
1833	DO j = nys, nyn
1834	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
1835	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
1836	w2 = w(k,j,i)**2
1837
1838	s1 = s1 + ust2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1839	s2 = s2 + vst2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1840	s3 = s3 + w2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1841	!
1842	!-- Perturbation energy
1843	s4 = s4 + 0.5 * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * &
1844	rflags_invers(j,i,k+1)
1845	ENDDO
1846	ENDDO
1847	sums_l(k,30,tn) = s1
1848	sums_l(k,31,tn) = s2
1849	sums_l(k,32,tn) = s3
1850	sums_l(k,34,tn) = s4
1851	ENDDO
1852	!$acc end parallel loop
1853	!
1854	!-- Total perturbation TKE
1855	!$OMP DO
1856	!$acc parallel present( sums_l ) create( s1 )
1857	!$acc loop reduction( +: s1 )
1858	DO k = nzb, nzt+1
1859	s1 = s1 + sums_l(k,34,tn)
1860	ENDDO
1861	sums_l(nzb+5,pr_palm,tn) = s1
1862	!$acc end parallel
1863
1864	ENDIF
1865
1866	!
1867	!-- Horizontally averaged profiles of the vertical fluxes
1868
1869	!
1870	!-- Subgridscale fluxes.
1871	!-- WARNING: If a Prandtl-layer is used (k=nzb for flat terrain), the fluxes
1872	!-- ------- should be calculated there in a different way. This is done
1873	!-- in the next loop further below, where results from this loop are
1874	!-- overwritten. However, THIS WORKS IN CASE OF FLAT TERRAIN ONLY!
1875	!-- The non-flat case still has to be handled.
1876	!-- NOTE: for simplicity, nzb_s_inner is used below, although
1877	!-- ---- strictly speaking the following k-loop would have to be
1878	!-- split up according to the staggered grid.
1879	!-- However, this implies no error since staggered velocity
1880	!-- components are zero at the walls and inside buildings.
1881	!$OMP DO
1882	!$acc parallel loop gang present( ddzu, kh, km, pt, u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
1883	DO k = nzb, nzt_diff
1884	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
1885	DO i = nxl, nxr
1886	DO j = nys, nyn
1887
1888	!
1889	!-- Momentum flux w"u"
1890	s1 = s1 - 0.25 * ( &
1891	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
1892	) * ( &
1893	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
1894	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
1895	) &
1896	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
1897	!
1898	!-- Momentum flux w"v"
1899	s2 = s2 - 0.25 * ( &
1900	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
1901	) * ( &
1902	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
1903	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
1904	) &
1905	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
1906	!
1907	!-- Heat flux w"pt"
1908	s3 = s3 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
1909	* ( pt(k+1,j,i) - pt(k,j,i) ) &
1910	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1911	ENDDO
1912	ENDDO
1913	sums_l(k,12,tn) = s1
1914	sums_l(k,14,tn) = s2
1915	sums_l(k,16,tn) = s3
1916	ENDDO
1917	!$acc end parallel loop
1918
1919	!
1920	!-- Salinity flux w"sa"
1921	IF ( ocean ) THEN
1922	!$acc parallel loop gang present( ddzu, kh, sa, rflags_invers, rmask, sums_l ) create( s1 )
1923	DO k = nzb, nzt_diff
1924	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1925	DO i = nxl, nxr
1926	DO j = nys, nyn
1927	s1 = s1 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
1928	* ( sa(k+1,j,i) - sa(k,j,i) ) &
1929	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1930	ENDDO
1931	ENDDO
1932	sums_l(k,65,tn) = s1
1933	ENDDO
1934	!$acc end parallel loop
1935	ENDIF
1936
1937	!
1938	!-- Buoyancy flux, water flux (humidity flux) w"q"
1939	IF ( humidity ) THEN
1940
1941	!$acc parallel loop gang present( ddzu, kh, q, vpt, rflags_invers, rmask, sums_l ) create( s1, s2 )
1942	DO k = nzb, nzt_diff
1943	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
1944	DO i = nxl, nxr
1945	DO j = nys, nyn
1946	s1 = s1 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
1947	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
1948	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1949	s2 = s2 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
1950	* ( q(k+1,j,i) - q(k,j,i) ) &
1951	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1952	ENDDO
1953	ENDDO
1954	sums_l(k,45,tn) = s1
1955	sums_l(k,48,tn) = s2
1956	ENDDO
1957	!$acc end parallel loop
1958
1959	IF ( cloud_physics ) THEN
1960
1961	!$acc parallel loop gang present( ddzu, kh, q, ql, rflags_invers, rmask, sums_l ) create( s1 )
1962	DO k = nzb, nzt_diff
1963	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1964	DO i = nxl, nxr
1965	DO j = nys, nyn
1966	s1 = s1 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
1967	* ( ( q(k+1,j,i) - ql(k+1,j,i) ) &
1968	- ( q(k,j,i) - ql(k,j,i) ) ) &
1969	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1970	ENDDO
1971	ENDDO
1972	sums_l(k,51,tn) = s1
1973	ENDDO
1974	!$acc end parallel loop
1975
1976	ENDIF
1977
1978	ENDIF
1979	!
1980	!-- Passive scalar flux
1981	IF ( passive_scalar ) THEN
1982
1983	!$acc parallel loop gang present( ddzu, kh, q, rflags_invers, rmask, sums_l ) create( s1 )
1984	DO k = nzb, nzt_diff
1985	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1986	DO i = nxl, nxr
1987	DO j = nys, nyn
1988	s1 = s1 - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
1989	* ( q(k+1,j,i) - q(k,j,i) ) &
1990	* ddzu(k+1) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1991	ENDDO
1992	ENDDO
1993	sums_l(k,48,tn) = s1
1994	ENDDO
1995	!$acc end parallel loop
1996
1997	ENDIF
1998
1999	IF ( use_surface_fluxes ) THEN
2000
2001	!$OMP DO
2002	!$acc parallel present( rmask, shf, sums_l, usws, vsws ) create( s1, s2, s3, s4, s5 )
2003	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
2004	DO i = nxl, nxr
2005	DO j = nys, nyn
2006	!
2007	!-- Subgridscale fluxes in the Prandtl layer
2008	s1 = s1 + usws(j,i) * rmask(j,i,sr) ! w"u"
2009	s2 = s2 + vsws(j,i) * rmask(j,i,sr) ! w"v"
2010	s3 = s3 + shf(j,i) * rmask(j,i,sr) ! w"pt"
2011	s4 = s4 + 0.0 * rmask(j,i,sr) ! u"pt"
2012	s5 = s5 + 0.0 * rmask(j,i,sr) ! v"pt"
2013	ENDDO
2014	ENDDO
2015	sums_l(nzb,12,tn) = s1
2016	sums_l(nzb,14,tn) = s2
2017	sums_l(nzb,16,tn) = s3
2018	sums_l(nzb,58,tn) = s4
2019	sums_l(nzb,61,tn) = s5
2020	!$acc end parallel
2021
2022	IF ( ocean ) THEN
2023
2024	!$OMP DO
2025	!$acc parallel present( rmask, saswsb, sums_l ) create( s1 )
2026	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2027	DO i = nxl, nxr
2028	DO j = nys, nyn
2029	s1 = s1 + saswsb(j,i) * rmask(j,i,sr) ! w"sa"
2030	ENDDO
2031	ENDDO
2032	sums_l(nzb,65,tn) = s1
2033	!$acc end parallel
2034
2035	ENDIF
2036
2037	IF ( humidity ) THEN
2038
2039	!$OMP DO
2040	!$acc parallel present( pt, q, qsws, rmask, shf, sums_l ) create( s1, s2 )
2041	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2042	DO i = nxl, nxr
2043	DO j = nys, nyn
2044	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2045	s2 = s2 + ( ( 1.0 + 0.61 * q(nzb,j,i) ) * shf(j,i) &
2046	+ 0.61 * pt(nzb,j,i) * qsws(j,i) )
2047	ENDDO
2048	ENDDO
2049	sums_l(nzb,48,tn) = s1
2050	sums_l(nzb,45,tn) = s2
2051	!$acc end parallel
2052
2053	IF ( cloud_droplets ) THEN
2054
2055	!$OMP DO
2056	!$acc parallel present( pt, q, ql, qsws, rmask, shf, sums_l ) create( s1 )
2057	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2058	DO i = nxl, nxr
2059	DO j = nys, nyn
2060	s1 = s1 + ( ( 1.0 + 0.61 * q(nzb,j,i) - ql(nzb,j,i) ) * &
2061	shf(j,i) + 0.61 * pt(nzb,j,i) * qsws(j,i) )
2062	ENDDO
2063	ENDDO
2064	sums_l(nzb,45,tn) = s1
2065	!$acc end parallel
2066
2067	ENDIF
2068
2069	IF ( cloud_physics ) THEN
2070
2071	!$OMP DO
2072	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
2073	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2074	DO i = nxl, nxr
2075	DO j = nys, nyn
2076	!
2077	!-- Formula does not work if ql(nzb) /= 0.0
2078	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2079	ENDDO
2080	ENDDO
2081	sums_l(nzb,51,tn) = s1
2082	!$acc end parallel
2083
2084	ENDIF
2085
2086	ENDIF
2087
2088	IF ( passive_scalar ) THEN
2089
2090	!$OMP DO
2091	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
2092	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2093	DO i = nxl, nxr
2094	DO j = nys, nyn
2095	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2096	ENDDO
2097	ENDDO
2098	sums_l(nzb,48,tn) = s1
2099	!$acc end parallel
2100
2101	ENDIF
2102
2103	ENDIF
2104
2105	!
2106	!-- Subgridscale fluxes at the top surface
2107	IF ( use_top_fluxes ) THEN
2108
2109	!$OMP DO
2110	!$acc parallel present( rmask, sums_l, tswst, uswst, vswst ) create( s1, s2, s3, s4, s5 )
2111	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
2112	DO i = nxl, nxr
2113	DO j = nys, nyn
2114	s1 = s1 + uswst(j,i) * rmask(j,i,sr) ! w"u"
2115	s2 = s2 + vswst(j,i) * rmask(j,i,sr) ! w"v"
2116	s3 = s3 + tswst(j,i) * rmask(j,i,sr) ! w"pt"
2117	s4 = s4 + 0.0 * rmask(j,i,sr) ! u"pt"
2118	s5 = s5 + 0.0 * rmask(j,i,sr) ! v"pt"
2119	ENDDO
2120	ENDDO
2121	sums_l(nzt:nzt+1,12,tn) = s1
2122	sums_l(nzt:nzt+1,14,tn) = s2
2123	sums_l(nzt:nzt+1,16,tn) = s3
2124	sums_l(nzt:nzt+1,58,tn) = s4
2125	sums_l(nzt:nzt+1,61,tn) = s5
2126	!$acc end parallel
2127
2128	IF ( ocean ) THEN
2129
2130	!$OMP DO
2131	!$acc parallel present( rmask, saswst, sums_l ) create( s1 )
2132	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2133	DO i = nxl, nxr
2134	DO j = nys, nyn
2135	s1 = s1 + saswst(j,i) * rmask(j,i,sr) ! w"sa"
2136	ENDDO
2137	ENDDO
2138	sums_l(nzt,65,tn) = s1
2139	!$acc end parallel
2140
2141	ENDIF
2142
2143	IF ( humidity ) THEN
2144
2145	!$OMP DO
2146	!$acc parallel present( pt, q, qswst, rmask, tswst, sums_l ) create( s1, s2 )
2147	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2148	DO i = nxl, nxr
2149	DO j = nys, nyn
2150	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2151	s2 = s2 + ( ( 1.0 + 0.61 * q(nzt,j,i) ) * tswst(j,i) + &
2152	0.61 * pt(nzt,j,i) * qswst(j,i) )
2153	ENDDO
2154	ENDDO
2155	sums_l(nzt,48,tn) = s1
2156	sums_l(nzt,45,tn) = s2
2157	!$acc end parallel
2158
2159	IF ( cloud_droplets ) THEN
2160
2161	!$OMP DO
2162	!$acc parallel present( pt, q, ql, qswst, rmask, tswst, sums_l ) create( s1 )
2163	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2164	DO i = nxl, nxr
2165	DO j = nys, nyn
2166	s1 = s1 + ( ( 1.0 + 0.61 * q(nzt,j,i) - ql(nzt,j,i) ) * &
2167	tswst(j,i) + 0.61 * pt(nzt,j,i) * qswst(j,i) )
2168	ENDDO
2169	ENDDO
2170	sums_l(nzt,45,tn) = s1
2171	!$acc end parallel
2172
2173	ENDIF
2174
2175	IF ( cloud_physics ) THEN
2176
2177	!$OMP DO
2178	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
2179	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2180	DO i = nxl, nxr
2181	DO j = nys, nyn
2182	!
2183	!-- Formula does not work if ql(nzb) /= 0.0
2184	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2185	ENDDO
2186	ENDDO
2187	sums_l(nzt,51,tn) = s1
2188	!$acc end parallel
2189
2190	ENDIF
2191
2192	ENDIF
2193
2194	IF ( passive_scalar ) THEN
2195
2196	!$OMP DO
2197	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
2198	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2199	DO i = nxl, nxr
2200	DO j = nys, nyn
2201	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2202	ENDDO
2203	ENDDO
2204	sums_l(nzt,48,tn) = s1
2205	!$acc end parallel
2206
2207	ENDIF
2208
2209	ENDIF
2210
2211	!
2212	!-- Resolved fluxes (can be computed for all horizontal points)
2213	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
2214	!-- ---- speaking the following k-loop would have to be split up and
2215	!-- rearranged according to the staggered grid.
2216	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2, s3 )
2217	DO k = nzb, nzt_diff
2218	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2219	DO i = nxl, nxr
2220	DO j = nys, nyn
2221	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
2222	u(k+1,j,i) - hom(k+1,1,1,sr) )
2223	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
2224	v(k+1,j,i) - hom(k+1,1,2,sr) )
2225	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
2226	pt(k+1,j,i) - hom(k+1,1,4,sr) )
2227	!
2228	!-- Higher moments
2229	s1 = s1 + pts * w(k,j,i)*2 rmask(j,i,sr) * rflags_invers(j,i,k+1)
2230	s2 = s2 + pts*2 w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2231	!
2232	!-- Energy flux we (has to be adjusted?)
2233	s3 = s3 + w(k,j,i) * 0.5 * ( ust2 + vst2 + w(k,j,i)**2 ) &
2234	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2235	ENDDO
2236	ENDDO
2237	sums_l(k,35,tn) = s1
2238	sums_l(k,36,tn) = s2
2239	sums_l(k,37,tn) = s3
2240	ENDDO
2241	!$acc end parallel loop
2242
2243	!
2244	!-- Salinity flux and density (density does not belong to here,
2245	!-- but so far there is no other suitable place to calculate)
2246	IF ( ocean ) THEN
2247
2248	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2249
2250	!$acc parallel loop gang present( hom, rflags_invers, rmask, sa, sums_l, w ) create( s1 )
2251	DO k = nzb, nzt_diff
2252	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2253	DO i = nxl, nxr
2254	DO j = nys, nyn
2255	s1 = s1 + 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
2256	sa(k+1,j,i) - hom(k+1,1,23,sr) ) &
2257	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2258	ENDDO
2259	ENDDO
2260	sums_l(k,66,tn) = s1
2261	ENDDO
2262	!$acc end parallel loop
2263
2264	ENDIF
2265
2266	!$acc parallel loop gang present( rflags_invers, rho, prho, rmask, sums_l ) create( s1, s2 )
2267	DO k = nzb, nzt_diff
2268	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2269	DO i = nxl, nxr
2270	DO j = nys, nyn
2271	s1 = s1 + rho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2272	s2 = s2 + prho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2273	ENDDO
2274	ENDDO
2275	sums_l(k,64,tn) = s1
2276	sums_l(k,71,tn) = s2
2277	ENDDO
2278	!$acc end parallel loop
2279
2280	ENDIF
2281
2282	!
2283	!-- Buoyancy flux, water flux, humidity flux, liquid water
2284	!-- content, rain drop concentration and rain water content
2285	IF ( humidity ) THEN
2286
2287	IF ( cloud_physics .OR. cloud_droplets ) THEN
2288
2289	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
2290	DO k = nzb, nzt_diff
2291	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2292	DO i = nxl, nxr
2293	DO j = nys, nyn
2294	s1 = s1 + 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
2295	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) * &
2296	w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2297	ENDDO
2298	ENDDO
2299	sums_l(k,46,tn) = s1
2300	ENDDO
2301	!$acc end parallel loop
2302
2303	IF ( .NOT. cloud_droplets ) THEN
2304
2305	!$acc parallel loop gang present( hom, q, ql, rflags_invers, rmask, sums_l, w ) create( s1 )
2306	DO k = nzb, nzt_diff
2307	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2308	DO i = nxl, nxr
2309	DO j = nys, nyn
2310	s1 = s1 + 0.5 * ( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) + &
2311	( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) ) &
2312	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2313	ENDDO
2314	ENDDO
2315	sums_l(k,52,tn) = s1
2316	ENDDO
2317	!$acc end parallel loop
2318
2319	IF ( icloud_scheme == 0 ) THEN
2320
2321	!$acc parallel loop gang present( qc, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
2322	DO k = nzb, nzt_diff
2323	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2324	DO i = nxl, nxr
2325	DO j = nys, nyn
2326	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2327	s2 = s2 + qc(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2328	ENDDO
2329	ENDDO
2330	sums_l(k,54,tn) = s1
2331	sums_l(k,75,tn) = s2
2332	ENDDO
2333	!$acc end parallel loop
2334
2335	IF ( precipitation ) THEN
2336
2337	!$acc parallel loop gang present( nr, qr, prr, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
2338	DO k = nzb, nzt_diff
2339	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2340	DO i = nxl, nxr
2341	DO j = nys, nyn
2342	s1 = s1 + nr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2343	s2 = s2 + qr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2344	s3 = s3 + prr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2345	ENDDO
2346	ENDDO
2347	sums_l(k,73,tn) = s1
2348	sums_l(k,74,tn) = s2
2349	sums_l(k,76,tn) = s3
2350	ENDDO
2351	!$acc end parallel loop
2352
2353	ENDIF
2354
2355	ELSE
2356
2357	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
2358	DO k = nzb, nzt_diff
2359	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2360	DO i = nxl, nxr
2361	DO j = nys, nyn
2362	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2363	ENDDO
2364	ENDDO
2365	sums_l(k,54,tn) = s1
2366	ENDDO
2367	!$acc end parallel loop
2368
2369	ENDIF
2370
2371	ELSE
2372
2373	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
2374	DO k = nzb, nzt_diff
2375	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2376	DO i = nxl, nxr
2377	DO j = nys, nyn
2378	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2379	ENDDO
2380	ENDDO
2381	sums_l(k,54,tn) = s1
2382	ENDDO
2383	!$acc end parallel loop
2384
2385	ENDIF
2386
2387	ELSE
2388
2389	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2390
2391	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
2392	DO k = nzb, nzt_diff
2393	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2394	DO i = nxl, nxr
2395	DO j = nys, nyn
2396	s1 = s1 + 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
2397	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) &
2398	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2399	ENDDO
2400	ENDDO
2401	sums_l(k,46,tn) = s1
2402	ENDDO
2403	!$acc end parallel loop
2404
2405	ELSEIF ( ws_scheme_sca .AND. sr == 0 ) THEN
2406
2407	!$acc parallel loop present( hom, sums_l )
2408	DO k = nzb, nzt_diff
2409	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * sums_l(k,17,tn) + &
2410	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
2411	ENDDO
2412	!$acc end parallel loop
2413
2414	ENDIF
2415
2416	ENDIF
2417
2418	ENDIF
2419	!
2420	!-- Passive scalar flux
2421	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca .OR. sr /= 0 ) ) THEN
2422
2423	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
2424	DO k = nzb, nzt_diff
2425	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2426	DO i = nxl, nxr
2427	DO j = nys, nyn
2428	s1 = s1 + 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
2429	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
2430	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2431	ENDDO
2432	ENDDO
2433	sums_l(k,49,tn) = s1
2434	ENDDO
2435	!$acc end parallel loop
2436
2437	ENDIF
2438
2439	!
2440	!-- For speed optimization fluxes which have been computed in part directly
2441	!-- inside the WS advection routines are treated seperatly
2442	!-- Momentum fluxes first:
2443	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
2444
2445	!$OMP DO
2446	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2 )
2447	DO k = nzb, nzt_diff
2448	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2449	DO i = nxl, nxr
2450	DO j = nys, nyn
2451	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
2452	u(k+1,j,i) - hom(k+1,1,1,sr) )
2453	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
2454	v(k+1,j,i) - hom(k+1,1,2,sr) )
2455	!
2456	!-- Momentum flux wu
2457	s1 = s1 + 0.5 * ( w(k,j,i-1) + w(k,j,i) ) &
2458	* ust * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2459	!
2460	!-- Momentum flux wv
2461	s2 = s2 + 0.5 * ( w(k,j-1,i) + w(k,j,i) ) &
2462	* vst * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2463	ENDDO
2464	ENDDO
2465	sums_l(k,13,tn) = s1
2466	sums_l(k,15,tn) = s1
2467	ENDDO
2468	!$acc end parallel loop
2469
2470	ENDIF
2471
2472	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2473
2474	!$OMP DO
2475	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, w ) create( s1 )
2476	DO k = nzb, nzt_diff
2477	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2478	DO i = nxl, nxr
2479	DO j = nys, nyn
2480	!
2481	!-- Vertical heat flux
2482	s1 = s1 + 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
2483	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
2484	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2485	ENDDO
2486	ENDDO
2487	sums_l(k,17,tn) = s1
2488	ENDDO
2489	!$acc end parallel loop
2490
2491	IF ( humidity ) THEN
2492
2493	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
2494	DO k = nzb, nzt_diff
2495	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2496	DO i = nxl, nxr
2497	DO j = nys, nyn
2498	s1 = s1 + 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
2499	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
2500	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2501	ENDDO
2502	ENDDO
2503	sums_l(k,49,tn) = s1
2504	ENDDO
2505	!$acc end parallel loop
2506
2507	ENDIF
2508
2509	ENDIF
2510
2511
2512	!
2513	!-- Density at top follows Neumann condition
2514	IF ( ocean ) THEN
2515	!$acc parallel present( sums_l )
2516	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
2517	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
2518	!$acc end parallel
2519	ENDIF
2520
2521	!
2522	!-- Divergence of vertical flux of resolved scale energy and pressure
2523	!-- fluctuations as well as flux of pressure fluctuation itself (68).
2524	!-- First calculate the products, then the divergence.
2525	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
2526	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
2527
2528	STOP '+++ openACC porting for vertical flux div of resolved scale TKE in flow_statistics is still missing'
2529	sums_ll = 0.0 ! local array
2530
2531	!$OMP DO
2532	DO i = nxl, nxr
2533	DO j = nys, nyn
2534	DO k = nzb_s_inner(j,i)+1, nzt
2535
2536	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
2537	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
2538	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
2539	) )**2 &
2540	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
2541	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
2542	) )**2 &
2543	+ w(k,j,i)**2 )
2544
2545	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
2546	* ( p(k,j,i) + p(k+1,j,i) )
2547
2548	ENDDO
2549	ENDDO
2550	ENDDO
2551	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
2552	sums_ll(nzt+1,1) = 0.0
2553	sums_ll(0,2) = 0.0
2554	sums_ll(nzt+1,2) = 0.0
2555
2556	DO k = nzb+1, nzt
2557	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
2558	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
2559	sums_l(k,68,tn) = sums_ll(k,2)
2560	ENDDO
2561	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
2562	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
2563	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
2564
2565	ENDIF
2566
2567	!
2568	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
2569	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
2570
2571	STOP '+++ openACC porting for vertical flux div of SGS TKE in flow_statistics is still missing'
2572	!$OMP DO
2573	DO i = nxl, nxr
2574	DO j = nys, nyn
2575	DO k = nzb_s_inner(j,i)+1, nzt
2576
2577	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
2578	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
2579	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
2580	) * ddzw(k)
2581
2582	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
2583	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
2584	)
2585
2586	ENDDO
2587	ENDDO
2588	ENDDO
2589	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
2590	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
2591
2592	ENDIF
2593
2594	!
2595	!-- Horizontal heat fluxes (subgrid, resolved, total).
2596	!-- Do it only, if profiles shall be plotted.
2597	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
2598
2599	STOP '+++ openACC porting for horizontal flux calculation in flow_statistics is still missing'
2600	!$OMP DO
2601	DO i = nxl, nxr
2602	DO j = nys, nyn
2603	DO k = nzb_s_inner(j,i)+1, nzt
2604	!
2605	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
2606	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
2607	( kh(k,j,i) + kh(k,j,i-1) ) &
2608	* ( pt(k,j,i-1) - pt(k,j,i) ) &
2609	* ddx * rmask(j,i,sr)
2610	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
2611	( kh(k,j,i) + kh(k,j-1,i) ) &
2612	* ( pt(k,j-1,i) - pt(k,j,i) ) &
2613	* ddy * rmask(j,i,sr)
2614	!
2615	!-- Resolved horizontal heat fluxes upt, vpt
2616	sums_l(k,59,tn) = sums_l(k,59,tn) + &
2617	( u(k,j,i) - hom(k,1,1,sr) ) &
2618	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
2619	pt(k,j,i) - hom(k,1,4,sr) )
2620	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
2621	pt(k,j,i) - hom(k,1,4,sr) )
2622	sums_l(k,62,tn) = sums_l(k,62,tn) + &
2623	( v(k,j,i) - hom(k,1,2,sr) ) &
2624	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
2625	pt(k,j,i) - hom(k,1,4,sr) )
2626	ENDDO
2627	ENDDO
2628	ENDDO
2629	!
2630	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
2631	sums_l(nzb,58,tn) = 0.0
2632	sums_l(nzb,59,tn) = 0.0
2633	sums_l(nzb,60,tn) = 0.0
2634	sums_l(nzb,61,tn) = 0.0
2635	sums_l(nzb,62,tn) = 0.0
2636	sums_l(nzb,63,tn) = 0.0
2637
2638	ENDIF
2639
2640	!
2641	!-- Calculate the user-defined profiles
2642	CALL user_statistics( 'profiles', sr, tn )
2643	!$OMP END PARALLEL
2644
2645	!
2646	!-- Summation of thread sums
2647	IF ( threads_per_task > 1 ) THEN
2648	STOP '+++ openACC porting for threads_per_task > 1 in flow_statistics is still missing'
2649	DO i = 1, threads_per_task-1
2650	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
2651	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
2652	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
2653	sums_l(:,45:pr_palm,i)
2654	IF ( max_pr_user > 0 ) THEN
2655	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
2656	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
2657	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
2658	ENDIF
2659	ENDDO
2660	ENDIF
2661
2662	!$acc update host( hom, sums, sums_l )
2663
2664	#if defined( __parallel )
2665
2666	!
2667	!-- Compute total sum from local sums
2668	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2669	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
2670	MPI_SUM, comm2d, ierr )
2671	#else
2672	sums = sums_l(:,:,0)
2673	#endif
2674
2675	!
2676	!-- Final values are obtained by division by the total number of grid points
2677	!-- used for summation. After that store profiles.
2678	!-- Profiles:
2679	DO k = nzb, nzt+1
2680	sums(k,3) = sums(k,3) / ngp_2dh(sr)
2681	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
2682	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
2683	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
2684	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
2685	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
2686	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
2687	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
2688	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
2689	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
2690	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
2691	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
2692	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
2693	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
2694	ENDDO
2695
2696	!-- Upstream-parts
2697	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
2698	!-- u* and so on
2699	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
2700	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
2701	!-- above the topography, they are being divided by ngp_2dh(sr)
2702	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
2703	ngp_2dh(sr)
2704	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
2705	ngp_2dh(sr)
2706	!-- eges, e*
2707	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
2708	ngp_3d(sr)
2709	!-- Old and new divergence
2710	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
2711	ngp_3d_inner(sr)
2712
2713	!-- User-defined profiles
2714	IF ( max_pr_user > 0 ) THEN
2715	DO k = nzb, nzt+1
2716	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
2717	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
2718	ngp_2dh_s_inner(k,sr)
2719	ENDDO
2720	ENDIF
2721
2722	!
2723	!-- Collect horizontal average in hom.
2724	!-- Compute deduced averages (e.g. total heat flux)
2725	hom(:,1,3,sr) = sums(:,3) ! w
2726	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
2727	hom(:,1,9,sr) = sums(:,9) ! km
2728	hom(:,1,10,sr) = sums(:,10) ! kh
2729	hom(:,1,11,sr) = sums(:,11) ! l
2730	hom(:,1,12,sr) = sums(:,12) ! w"u"
2731	hom(:,1,13,sr) = sums(:,13) ! wu
2732	hom(:,1,14,sr) = sums(:,14) ! w"v"
2733	hom(:,1,15,sr) = sums(:,15) ! wv
2734	hom(:,1,16,sr) = sums(:,16) ! w"pt"
2735	hom(:,1,17,sr) = sums(:,17) ! wpt
2736	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
2737	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
2738	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
2739	hom(:,1,21,sr) = sums(:,21) ! wptBC
2740	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
2741	! profile 24 is initial profile (sa)
2742	! profiles 25-29 left empty for initial
2743	! profiles
2744	hom(:,1,30,sr) = sums(:,30) ! u*2
2745	hom(:,1,31,sr) = sums(:,31) ! v*2
2746	hom(:,1,32,sr) = sums(:,32) ! w*2
2747	hom(:,1,33,sr) = sums(:,33) ! pt*2
2748	hom(:,1,34,sr) = sums(:,34) ! e*
2749	hom(:,1,35,sr) = sums(:,35) ! w2pt
2750	hom(:,1,36,sr) = sums(:,36) ! wpt2
2751	hom(:,1,37,sr) = sums(:,37) ! we
2752	hom(:,1,38,sr) = sums(:,38) ! w*3
2753	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
2754	hom(:,1,40,sr) = sums(:,40) ! p
2755	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
2756	hom(:,1,46,sr) = sums(:,46) ! wvpt
2757	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
2758	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
2759	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
2760	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
2761	hom(:,1,51,sr) = sums(:,51) ! w"qv"
2762	hom(:,1,52,sr) = sums(:,52) ! wqv
2763	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
2764	hom(:,1,54,sr) = sums(:,54) ! ql
2765	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
2766	hom(:,1,56,sr) = sums(:,56) ! wp/dz
2767	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
2768	hom(:,1,58,sr) = sums(:,58) ! u"pt"
2769	hom(:,1,59,sr) = sums(:,59) ! upt
2770	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
2771	hom(:,1,61,sr) = sums(:,61) ! v"pt"
2772	hom(:,1,62,sr) = sums(:,62) ! vpt
2773	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
2774	hom(:,1,64,sr) = sums(:,64) ! rho
2775	hom(:,1,65,sr) = sums(:,65) ! w"sa"
2776	hom(:,1,66,sr) = sums(:,66) ! wsa
2777	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
2778	hom(:,1,68,sr) = sums(:,68) ! wp
2779	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
2780	hom(:,1,70,sr) = sums(:,70) ! q*2
2781	hom(:,1,71,sr) = sums(:,71) ! prho
2782	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
2783	hom(:,1,73,sr) = sums(:,73) ! nr
2784	hom(:,1,74,sr) = sums(:,74) ! qr
2785	hom(:,1,75,sr) = sums(:,75) ! qc
2786	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
2787	! 77 is initial density profile
2788	hom(:,1,78,sr) = ug ! ug
2789	hom(:,1,79,sr) = vg ! vg
2790	hom(:,1,80,sr) = w_subs ! w_subs
2791
2792	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
2793	! upstream-parts u_x, u_y, u_z, v_x,
2794	! v_y, usw. (in last but one profile)
2795	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
2796	! u, w'u', w'v', t (in last profile)
2797
2798	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
2799	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
2800	sums(:,pr_palm+1:pr_palm+max_pr_user)
2801	ENDIF
2802
2803	!
2804	!-- Determine the boundary layer height using two different schemes.
2805	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
2806	!-- first relative minimum (maximum) of the total heat flux.
2807	!-- The corresponding height is assumed as the boundary layer height, if it
2808	!-- is less than 1.5 times the height where the heat flux becomes negative
2809	!-- (positive) for the first time.
2810	z_i(1) = 0.0
2811	first = .TRUE.
2812
2813	IF ( ocean ) THEN
2814	DO k = nzt, nzb+1, -1
2815	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
2816	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
2817	first = .FALSE.
2818	height = zw(k)
2819	ENDIF
2820	IF ( hom(k,1,18,sr) < 0.0 .AND. &
2821	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
2822	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2823	IF ( zw(k) < 1.5 * height ) THEN
2824	z_i(1) = zw(k)
2825	ELSE
2826	z_i(1) = height
2827	ENDIF
2828	EXIT
2829	ENDIF
2830	ENDDO
2831	ELSE
2832	DO k = nzb, nzt-1
2833	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
2834	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
2835	first = .FALSE.
2836	height = zw(k)
2837	ENDIF
2838	IF ( hom(k,1,18,sr) < 0.0 .AND. &
2839	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
2840	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2841	IF ( zw(k) < 1.5 * height ) THEN
2842	z_i(1) = zw(k)
2843	ELSE
2844	z_i(1) = height
2845	ENDIF
2846	EXIT
2847	ENDIF
2848	ENDDO
2849	ENDIF
2850
2851	!
2852	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
2853	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
2854	!-- maximal local temperature gradient: starting from the second (the last
2855	!-- but one) vertical gridpoint, the local gradient must be at least
2856	!-- 0.2K/100m and greater than the next four gradients.
2857	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2858	!-- ocean case!
2859	z_i(2) = 0.0
2860	DO k = nzb+1, nzt+1
2861	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2862	ENDDO
2863	dptdz_threshold = 0.2 / 100.0
2864
2865	IF ( ocean ) THEN
2866	DO k = nzt+1, nzb+5, -1
2867	IF ( dptdz(k) > dptdz_threshold .AND. &
2868	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
2869	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2870	z_i(2) = zw(k-1)
2871	EXIT
2872	ENDIF
2873	ENDDO
2874	ELSE
2875	DO k = nzb+1, nzt-3
2876	IF ( dptdz(k) > dptdz_threshold .AND. &
2877	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
2878	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2879	z_i(2) = zw(k-1)
2880	EXIT
2881	ENDIF
2882	ENDDO
2883	ENDIF
2884
2885	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2886	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2887
2888	!
2889	!-- Computation of both the characteristic vertical velocity and
2890	!-- the characteristic convective boundary layer temperature.
2891	!-- The horizontal average at nzb+1 is input for the average temperature.
2892	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
2893	.AND. z_i(1) /= 0.0 ) THEN
2894	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
2895	hom(nzb,1,18,sr) * &
2896	ABS( z_i(1) ) )**0.333333333
2897	!-- so far this only works if Prandtl layer is used
2898	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
2899	ELSE
2900	hom(nzb+8,1,pr_palm,sr) = 0.0
2901	hom(nzb+11,1,pr_palm,sr) = 0.0
2902	ENDIF
2903
2904	!
2905	!-- Collect the time series quantities
2906	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2907	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2908	ts_value(3,sr) = dt_3d
2909	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2910	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2911	ts_value(6,sr) = u_max
2912	ts_value(7,sr) = v_max
2913	ts_value(8,sr) = w_max
2914	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2915	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2916	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2917	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2918	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2919	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2920	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
2921	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
2922	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
2923	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
2924	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2925	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2926	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2927
2928	IF ( ts_value(5,sr) /= 0.0 ) THEN
2929	ts_value(22,sr) = ts_value(4,sr)**2 / &
2930	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
2931	ELSE
2932	ts_value(22,sr) = 10000.0
2933	ENDIF
2934
2935	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2936	!
2937	!-- Calculate additional statistics provided by the user interface
2938	CALL user_statistics( 'time_series', sr, 0 )
2939
2940	ENDDO ! loop of the subregions
2941
2942	!$acc end data
2943
2944	!
2945	!-- If required, sum up horizontal averages for subsequent time averaging
2946	IF ( do_sum ) THEN
2947	IF ( average_count_pr == 0 ) hom_sum = 0.0
2948	hom_sum = hom_sum + hom(:,1,:,:)
2949	average_count_pr = average_count_pr + 1
2950	do_sum = .FALSE.
2951	ENDIF
2952
2953	!
2954	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2955	!-- This flag is reset after each time step in time_integration.
2956	flow_statistics_called = .TRUE.
2957
2958	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2959
2960
2961	END SUBROUTINE flow_statistics
2962	#endif

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