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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1568

Last change on this file since 1568 was 1568, checked in by suehring, 9 years ago
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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 1997-2014 Leibniz Universitaet Hannover
19	!--------------------------------------------------------------------------------!
20	!
21	! Current revisions:
22	! -----------------
23	!
24	!
25	! Former revisions:
26	! -----------------
27	! $Id: flow_statistics.f90 1568 2015-03-10 18:00:02Z suehring $
28	!
29	! 1567 2015-03-10 17:57:55Z suehring
30	! Reverse modifications made for monotonic limiter.
31	!
32	! 1557 2015-03-05 16:43:04Z suehring
33	! Adjustments for monotonic limiter
34	!
35	! 1555 2015-03-04 17:44:27Z maronga
36	! Added output of r_a and r_s.
37	!
38	! 1551 2015-03-03 14:18:16Z maronga
39	! Added suppport for land surface model and radiation model output.
40	!
41	! 1498 2014-12-03 14:09:51Z suehring
42	! Comments added
43	!
44	! 1482 2014-10-18 12:34:45Z raasch
45	! missing ngp_sums_ls added in accelerator version
46	!
47	! 1450 2014-08-21 07:31:51Z heinze
48	! bugfix: calculate fac only for simulated_time >= 0.0
49	!
50	! 1396 2014-05-06 13:37:41Z raasch
51	! bugfix: "copyin" replaced by "update device" in openacc-branch
52	!
53	! 1386 2014-05-05 13:55:30Z boeske
54	! bugfix: simulated time before the last timestep is needed for the correct
55	! calculation of the profiles of large scale forcing tendencies
56	!
57	! 1382 2014-04-30 12:15:41Z boeske
58	! Renamed variables which store large scale forcing tendencies
59	! pt_lsa -> td_lsa_lpt, pt_subs -> td_sub_lpt,
60	! q_lsa -> td_lsa_q, q_subs -> td_sub_q,
61	! added Neumann boundary conditions for profile data output of large scale
62	! advection and subsidence terms at nzt+1
63	!
64	! 1374 2014-04-25 12:55:07Z raasch
65	! bugfix: syntax errors removed from openacc-branch
66	! missing variables added to ONLY-lists
67	!
68	! 1365 2014-04-22 15:03:56Z boeske
69	! Output of large scale advection, large scale subsidence and nudging tendencies
70	! +sums_ls_l, ngp_sums_ls, use_subsidence_tendencies
71	!
72	! 1353 2014-04-08 15:21:23Z heinze
73	! REAL constants provided with KIND-attribute
74	!
75	! 1322 2014-03-20 16:38:49Z raasch
76	! REAL constants defined as wp-kind
77	!
78	! 1320 2014-03-20 08:40:49Z raasch
79	! ONLY-attribute added to USE-statements,
80	! kind-parameters added to all INTEGER and REAL declaration statements,
81	! kinds are defined in new module kinds,
82	! revision history before 2012 removed,
83	! comment fields (!:) to be used for variable explanations added to
84	! all variable declaration statements
85	!
86	! 1299 2014-03-06 13:15:21Z heinze
87	! Output of large scale vertical velocity w_subs
88	!
89	! 1257 2013-11-08 15:18:40Z raasch
90	! openacc "end parallel" replaced by "end parallel loop"
91	!
92	! 1241 2013-10-30 11:36:58Z heinze
93	! Output of ug and vg
94	!
95	! 1221 2013-09-10 08:59:13Z raasch
96	! ported for openACC in separate #else branch
97	!
98	! 1179 2013-06-14 05:57:58Z raasch
99	! comment for profile 77 added
100	!
101	! 1115 2013-03-26 18:16:16Z hoffmann
102	! ql is calculated by calc_liquid_water_content
103	!
104	! 1111 2013-03-08 23:54:10Z raasch
105	! openACC directive added
106	!
107	! 1053 2012-11-13 17:11:03Z hoffmann
108	! additions for two-moment cloud physics scheme:
109	! +nr, qr, qc, prr
110	!
111	! 1036 2012-10-22 13:43:42Z raasch
112	! code put under GPL (PALM 3.9)
113	!
114	! 1007 2012-09-19 14:30:36Z franke
115	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
116	! turbulent fluxes of WS-scheme
117	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
118	! droplets at nzb and nzt added
119	!
120	! 801 2012-01-10 17:30:36Z suehring
121	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
122	!
123	! Revision 1.1 1997/08/11 06:15:17 raasch
124	! Initial revision
125	!
126	!
127	! Description:
128	! ------------
129	! Compute average profiles and further average flow quantities for the different
130	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
131	!
132	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
133	! ---- lower vertical index for k-loops for all variables, although strictly
134	! speaking the k-loops would have to be split up according to the staggered
135	! grid. However, this implies no error since staggered velocity components are
136	! zero at the walls and inside buildings.
137	!------------------------------------------------------------------------------!
138
139	USE arrays_3d, &
140	ONLY: ddzu, ddzw, e, hyp, km, kh, nr, p, prho, pt, q, qc, ql, qr, qs, &
141	qsws, qswst, rho, sa, saswsb, saswst, shf, td_lsa_lpt, td_lsa_q,&
142	td_sub_lpt, td_sub_q, time_vert, ts, tswst, u, ug, us, usws, &
143	uswst, vsws, v, vg, vpt, vswst, w, w_subs, zw
144
145	USE cloud_parameters, &
146	ONLY: l_d_cp, prr, pt_d_t
147
148	USE control_parameters, &
149	ONLY: average_count_pr, cloud_droplets, cloud_physics, do_sum, &
150	dt_3d, g, humidity, icloud_scheme, kappa, large_scale_forcing, &
151	large_scale_subsidence, max_pr_user, message_string, ocean, &
152	passive_scalar, precipitation, simulated_time, &
153	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
154	ws_scheme_mom, ws_scheme_sca
155
156	USE cpulog, &
157	ONLY: cpu_log, log_point
158
159	USE grid_variables, &
160	ONLY: ddx, ddy
161
162	USE indices, &
163	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
164	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzb_diff_s_inner, &
165	nzb_s_inner, nzt, nzt_diff
166
167	USE kinds
168
169	USE land_surface_model_mod, &
170	ONLY: dots_soil, ghf_eb, land_surface, m_soil, nzb_soil, nzt_soil, &
171	qsws_eb, qsws_liq_eb, qsws_soil_eb, qsws_veg_eb, r_a, r_s, &
172	shf_eb, t_soil
173
174	USE pegrid
175
176	USE radiation_model_mod, &
177	ONLY : dots_rad, rad_net, rad_sw_in, radiation
178
179	USE statistics
180
181	IMPLICIT NONE
182
183	INTEGER(iwp) :: i !:
184	INTEGER(iwp) :: j !:
185	INTEGER(iwp) :: k !:
186	INTEGER(iwp) :: nt !:
187	INTEGER(iwp) :: omp_get_thread_num !:
188	INTEGER(iwp) :: sr !:
189	INTEGER(iwp) :: tn !:
190
191	LOGICAL :: first !:
192
193	REAL(wp) :: dptdz_threshold !:
194	REAL(wp) :: fac !:
195	REAL(wp) :: height !:
196	REAL(wp) :: pts !:
197	REAL(wp) :: sums_l_eper !:
198	REAL(wp) :: sums_l_etot !:
199	REAL(wp) :: ust !:
200	REAL(wp) :: ust2 !:
201	REAL(wp) :: u2 !:
202	REAL(wp) :: vst !:
203	REAL(wp) :: vst2 !:
204	REAL(wp) :: v2 !:
205	REAL(wp) :: w2 !:
206	REAL(wp) :: z_i(2) !:
207
208	REAL(wp) :: dptdz(nzb+1:nzt+1) !:
209	REAL(wp) :: sums_ll(nzb:nzt+1,2) !:
210
211	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
212
213	!$acc update host( km, kh, e, pt, qs, qsws, rif, shf, ts, u, usws, v, vsws, w )
214
215	!
216	!-- To be on the safe side, check whether flow_statistics has already been
217	!-- called once after the current time step
218	IF ( flow_statistics_called ) THEN
219
220	message_string = 'flow_statistics is called two times within one ' // &
221	'timestep'
222	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
223
224	ENDIF
225
226	!
227	!-- Compute statistics for each (sub-)region
228	DO sr = 0, statistic_regions
229
230	!
231	!-- Initialize (local) summation array
232	sums_l = 0.0_wp
233
234	!
235	!-- Store sums that have been computed in other subroutines in summation
236	!-- array
237	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
238	!-- WARNING: next line still has to be adjusted for OpenMP
239	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
240	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
241	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
242
243	!
244	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
245	!-- scale) vertical fluxes and velocity variances by using commonly-
246	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
247	!-- in combination with the 5th order advection scheme, pronounced
248	!-- artificial kinks could be observed in the vertical profiles near the
249	!-- surface. Please note: these kinks were not related to the model truth,
250	!-- i.e. these kinks are just related to an evaluation problem.
251	!-- In order avoid these kinks, vertical fluxes and horizontal as well
252	!-- vertical velocity variances are calculated directly within the advection
253	!-- routines, according to the numerical discretization, to evaluate the
254	!-- statistical quantities as they will appear within the prognostic
255	!-- equations.
256	!-- Copy the turbulent quantities, evaluated in the advection routines to
257	!-- the local array sums_l() for further computations.
258	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
259
260	!
261	!-- According to the Neumann bc for the horizontal velocity components,
262	!-- the corresponding fluxes has to satisfiy the same bc.
263	IF ( ocean ) THEN
264	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
265	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
266	ENDIF
267
268	DO i = 0, threads_per_task-1
269	!
270	!-- Swap the turbulent quantities evaluated in advec_ws.
271	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
272	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
273	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
274	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
275	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
276	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
277	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
278	sums_ws2_ws_l(:,i) ) ! e*
279	DO k = nzb, nzt
280	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5_wp * ( &
281	sums_us2_ws_l(k,i) + &
282	sums_vs2_ws_l(k,i) + &
283	sums_ws2_ws_l(k,i) )
284	ENDDO
285	ENDDO
286
287	ENDIF
288
289	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
290
291	DO i = 0, threads_per_task-1
292	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
293	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
294	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
295	sums_wsqs_ws_l(:,i) !wq
296	ENDDO
297
298	ENDIF
299	!
300	!-- Horizontally averaged profiles of horizontal velocities and temperature.
301	!-- They must have been computed before, because they are already required
302	!-- for other horizontal averages.
303	tn = 0
304
305	!$OMP PARALLEL PRIVATE( i, j, k, tn )
306	#if defined( __intel_openmp_bug )
307	tn = omp_get_thread_num()
308	#else
309	!$ tn = omp_get_thread_num()
310	#endif
311
312	!$OMP DO
313	DO i = nxl, nxr
314	DO j = nys, nyn
315	DO k = nzb_s_inner(j,i), nzt+1
316	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
317	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
318	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
319	ENDDO
320	ENDDO
321	ENDDO
322
323	!
324	!-- Horizontally averaged profile of salinity
325	IF ( ocean ) THEN
326	!$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,23,tn) = sums_l(k,23,tn) + &
331	sa(k,j,i) * rmask(j,i,sr)
332	ENDDO
333	ENDDO
334	ENDDO
335	ENDIF
336
337	!
338	!-- Horizontally averaged profiles of virtual potential temperature,
339	!-- total water content, specific humidity and liquid water potential
340	!-- temperature
341	IF ( humidity ) THEN
342	!$OMP DO
343	DO i = nxl, nxr
344	DO j = nys, nyn
345	DO k = nzb_s_inner(j,i), nzt+1
346	sums_l(k,44,tn) = sums_l(k,44,tn) + &
347	vpt(k,j,i) * rmask(j,i,sr)
348	sums_l(k,41,tn) = sums_l(k,41,tn) + &
349	q(k,j,i) * rmask(j,i,sr)
350	ENDDO
351	ENDDO
352	ENDDO
353	IF ( cloud_physics ) THEN
354	!$OMP DO
355	DO i = nxl, nxr
356	DO j = nys, nyn
357	DO k = nzb_s_inner(j,i), nzt+1
358	sums_l(k,42,tn) = sums_l(k,42,tn) + &
359	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
360	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
361	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
362	) * rmask(j,i,sr)
363	ENDDO
364	ENDDO
365	ENDDO
366	ENDIF
367	ENDIF
368
369	!
370	!-- Horizontally averaged profiles of passive scalar
371	IF ( passive_scalar ) THEN
372	!$OMP DO
373	DO i = nxl, nxr
374	DO j = nys, nyn
375	DO k = nzb_s_inner(j,i), nzt+1
376	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
377	ENDDO
378	ENDDO
379	ENDDO
380	ENDIF
381	!$OMP END PARALLEL
382	!
383	!-- Summation of thread sums
384	IF ( threads_per_task > 1 ) THEN
385	DO i = 1, threads_per_task-1
386	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
387	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
388	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
389	IF ( ocean ) THEN
390	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
391	ENDIF
392	IF ( humidity ) THEN
393	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
394	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
395	IF ( cloud_physics ) THEN
396	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
397	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
398	ENDIF
399	ENDIF
400	IF ( passive_scalar ) THEN
401	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
402	ENDIF
403	ENDDO
404	ENDIF
405
406	#if defined( __parallel )
407	!
408	!-- Compute total sum from local sums
409	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
410	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
411	MPI_SUM, comm2d, ierr )
412	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
413	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
414	MPI_SUM, comm2d, ierr )
415	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
416	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
417	MPI_SUM, comm2d, ierr )
418	IF ( ocean ) THEN
419	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
420	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
421	MPI_REAL, MPI_SUM, comm2d, ierr )
422	ENDIF
423	IF ( humidity ) THEN
424	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
425	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
426	MPI_REAL, MPI_SUM, comm2d, ierr )
427	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
428	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
429	MPI_REAL, MPI_SUM, comm2d, ierr )
430	IF ( cloud_physics ) THEN
431	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
432	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
433	MPI_REAL, MPI_SUM, comm2d, ierr )
434	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
435	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
436	MPI_REAL, MPI_SUM, comm2d, ierr )
437	ENDIF
438	ENDIF
439
440	IF ( passive_scalar ) THEN
441	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
442	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
443	MPI_REAL, MPI_SUM, comm2d, ierr )
444	ENDIF
445	#else
446	sums(:,1) = sums_l(:,1,0)
447	sums(:,2) = sums_l(:,2,0)
448	sums(:,4) = sums_l(:,4,0)
449	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
450	IF ( humidity ) THEN
451	sums(:,44) = sums_l(:,44,0)
452	sums(:,41) = sums_l(:,41,0)
453	IF ( cloud_physics ) THEN
454	sums(:,42) = sums_l(:,42,0)
455	sums(:,43) = sums_l(:,43,0)
456	ENDIF
457	ENDIF
458	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
459	#endif
460
461	!
462	!-- Final values are obtained by division by the total number of grid points
463	!-- used for summation. After that store profiles.
464	sums(:,1) = sums(:,1) / ngp_2dh(sr)
465	sums(:,2) = sums(:,2) / ngp_2dh(sr)
466	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
467	hom(:,1,1,sr) = sums(:,1) ! u
468	hom(:,1,2,sr) = sums(:,2) ! v
469	hom(:,1,4,sr) = sums(:,4) ! pt
470
471
472	!
473	!-- Salinity
474	IF ( ocean ) THEN
475	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
476	hom(:,1,23,sr) = sums(:,23) ! sa
477	ENDIF
478
479	!
480	!-- Humidity and cloud parameters
481	IF ( humidity ) THEN
482	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
483	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
484	hom(:,1,44,sr) = sums(:,44) ! vpt
485	hom(:,1,41,sr) = sums(:,41) ! qv (q)
486	IF ( cloud_physics ) THEN
487	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
488	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
489	hom(:,1,42,sr) = sums(:,42) ! qv
490	hom(:,1,43,sr) = sums(:,43) ! pt
491	ENDIF
492	ENDIF
493
494	!
495	!-- Passive scalar
496	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
497	ngp_2dh_s_inner(:,sr) ! s (q)
498
499	!
500	!-- Horizontally averaged profiles of the remaining prognostic variables,
501	!-- variances, the total and the perturbation energy (single values in last
502	!-- column of sums_l) and some diagnostic quantities.
503	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
504	!-- ---- speaking the following k-loop would have to be split up and
505	!-- rearranged according to the staggered grid.
506	!-- However, this implies no error since staggered velocity components
507	!-- are zero at the walls and inside buildings.
508	tn = 0
509	#if defined( __intel_openmp_bug )
510	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
511	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
512	tn = omp_get_thread_num()
513	#else
514	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
515	!$ tn = omp_get_thread_num()
516	#endif
517	!$OMP DO
518	DO i = nxl, nxr
519	DO j = nys, nyn
520	sums_l_etot = 0.0_wp
521	DO k = nzb_s_inner(j,i), nzt+1
522	!
523	!-- Prognostic and diagnostic variables
524	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
525	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
526	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
527	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
528	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
529
530	sums_l(k,33,tn) = sums_l(k,33,tn) + &
531	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
532
533	IF ( humidity ) THEN
534	sums_l(k,70,tn) = sums_l(k,70,tn) + &
535	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
536	ENDIF
537
538	!
539	!-- Higher moments
540	!-- (Computation of the skewness of w further below)
541	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
542
543	sums_l_etot = sums_l_etot + &
544	0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + &
545	w(k,j,i)*2 ) rmask(j,i,sr)
546	ENDDO
547	!
548	!-- Total and perturbation energy for the total domain (being
549	!-- collected in the last column of sums_l). Summation of these
550	!-- quantities is seperated from the previous loop in order to
551	!-- allow vectorization of that loop.
552	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
553	!
554	!-- 2D-arrays (being collected in the last column of sums_l)
555	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
556	us(j,i) * rmask(j,i,sr)
557	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
558	usws(j,i) * rmask(j,i,sr)
559	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
560	vsws(j,i) * rmask(j,i,sr)
561	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
562	ts(j,i) * rmask(j,i,sr)
563	IF ( humidity ) THEN
564	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
565	qs(j,i) * rmask(j,i,sr)
566	ENDIF
567	ENDDO
568	ENDDO
569
570	!
571	!-- Computation of statistics when ws-scheme is not used. Else these
572	!-- quantities are evaluated in the advection routines.
573	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
574	!$OMP DO
575	DO i = nxl, nxr
576	DO j = nys, nyn
577	sums_l_eper = 0.0_wp
578	DO k = nzb_s_inner(j,i), nzt+1
579	u2 = u(k,j,i)**2
580	v2 = v(k,j,i)**2
581	w2 = w(k,j,i)**2
582	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
583	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
584
585	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
586	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
587	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
588	!
589	!-- Perturbation energy
590
591	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5_wp * &
592	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
593	sums_l_eper = sums_l_eper + &
594	0.5_wp * ( ust2+vst2+w2 ) * rmask(j,i,sr)
595
596	ENDDO
597	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
598	+ sums_l_eper
599	ENDDO
600	ENDDO
601	ENDIF
602
603	!
604	!-- Horizontally averaged profiles of the vertical fluxes
605
606	!$OMP DO
607	DO i = nxl, nxr
608	DO j = nys, nyn
609	!
610	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
611	!-- oterwise from k=nzb+1)
612	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
613	!-- ---- strictly speaking the following k-loop would have to be
614	!-- split up according to the staggered grid.
615	!-- However, this implies no error since staggered velocity
616	!-- components are zero at the walls and inside buildings.
617
618	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
619	!
620	!-- Momentum flux w"u"
621	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
622	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
623	) * ( &
624	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
625	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
626	) * rmask(j,i,sr)
627	!
628	!-- Momentum flux w"v"
629	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
630	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
631	) * ( &
632	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
633	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
634	) * rmask(j,i,sr)
635	!
636	!-- Heat flux w"pt"
637	sums_l(k,16,tn) = sums_l(k,16,tn) &
638	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
639	* ( pt(k+1,j,i) - pt(k,j,i) ) &
640	* ddzu(k+1) * rmask(j,i,sr)
641
642
643	!
644	!-- Salinity flux w"sa"
645	IF ( ocean ) THEN
646	sums_l(k,65,tn) = sums_l(k,65,tn) &
647	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
648	* ( sa(k+1,j,i) - sa(k,j,i) ) &
649	* ddzu(k+1) * rmask(j,i,sr)
650	ENDIF
651
652	!
653	!-- Buoyancy flux, water flux (humidity flux) w"q"
654	IF ( humidity ) THEN
655	sums_l(k,45,tn) = sums_l(k,45,tn) &
656	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
657	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
658	* ddzu(k+1) * rmask(j,i,sr)
659	sums_l(k,48,tn) = sums_l(k,48,tn) &
660	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
661	* ( q(k+1,j,i) - q(k,j,i) ) &
662	* ddzu(k+1) * rmask(j,i,sr)
663
664	IF ( cloud_physics ) THEN
665	sums_l(k,51,tn) = sums_l(k,51,tn) &
666	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
667	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
668	- ( q(k,j,i) - ql(k,j,i) ) ) &
669	* ddzu(k+1) * rmask(j,i,sr)
670	ENDIF
671	ENDIF
672
673	!
674	!-- Passive scalar flux
675	IF ( passive_scalar ) THEN
676	sums_l(k,48,tn) = sums_l(k,48,tn) &
677	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
678	* ( q(k+1,j,i) - q(k,j,i) ) &
679	* ddzu(k+1) * rmask(j,i,sr)
680	ENDIF
681
682	ENDDO
683
684	!
685	!-- Subgridscale fluxes in the Prandtl layer
686	IF ( use_surface_fluxes ) THEN
687	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
688	usws(j,i) * rmask(j,i,sr) ! w"u"
689	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
690	vsws(j,i) * rmask(j,i,sr) ! w"v"
691	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
692	shf(j,i) * rmask(j,i,sr) ! w"pt"
693	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
694	0.0_wp * rmask(j,i,sr) ! u"pt"
695	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
696	0.0_wp * rmask(j,i,sr) ! v"pt"
697	IF ( ocean ) THEN
698	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
699	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
700	ENDIF
701	IF ( humidity ) THEN
702	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
703	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
704	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
705	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
706	shf(j,i) + 0.61_wp * pt(nzb,j,i) * &
707	qsws(j,i) )
708	IF ( cloud_droplets ) THEN
709	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
710	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
711	ql(nzb,j,i) ) * shf(j,i) + &
712	0.61_wp * pt(nzb,j,i) * qsws(j,i) )
713	ENDIF
714	IF ( cloud_physics ) THEN
715	!
716	!-- Formula does not work if ql(nzb) /= 0.0
717	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
718	qsws(j,i) * rmask(j,i,sr)
719	ENDIF
720	ENDIF
721	IF ( passive_scalar ) THEN
722	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
723	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
724	ENDIF
725	ENDIF
726
727	IF ( land_surface ) THEN
728	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + ghf_eb(j,i)
729	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + shf_eb(j,i)
730	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + qsws_eb(j,i)
731	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + qsws_liq_eb(j,i)
732	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + qsws_soil_eb(j,i)
733	sums_l(nzb,98,tn) = sums_l(nzb,98,tn) + qsws_veg_eb(j,i)
734	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + r_a(j,i)
735	sums_l(nzb,100,tn) = sums_l(nzb,100,tn)+ r_s(j,i)
736	ENDIF
737
738	IF ( radiation ) THEN
739	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + rad_net(j,i)
740	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + rad_sw_in(j,i)
741	ENDIF
742
743	!
744	!-- Subgridscale fluxes at the top surface
745	IF ( use_top_fluxes ) THEN
746	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
747	uswst(j,i) * rmask(j,i,sr) ! w"u"
748	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
749	vswst(j,i) * rmask(j,i,sr) ! w"v"
750	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
751	tswst(j,i) * rmask(j,i,sr) ! w"pt"
752	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
753	0.0_wp * rmask(j,i,sr) ! u"pt"
754	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
755	0.0_wp * rmask(j,i,sr) ! v"pt"
756
757	IF ( ocean ) THEN
758	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
759	saswst(j,i) * rmask(j,i,sr) ! w"sa"
760	ENDIF
761	IF ( humidity ) THEN
762	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
763	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
764	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
765	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
766	tswst(j,i) + 0.61_wp * pt(nzt,j,i) * &
767	qswst(j,i) )
768	IF ( cloud_droplets ) THEN
769	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
770	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
771	ql(nzt,j,i) ) * tswst(j,i) + &
772	0.61_wp * pt(nzt,j,i) * qswst(j,i) )
773	ENDIF
774	IF ( cloud_physics ) THEN
775	!
776	!-- Formula does not work if ql(nzb) /= 0.0
777	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
778	qswst(j,i) * rmask(j,i,sr)
779	ENDIF
780	ENDIF
781	IF ( passive_scalar ) THEN
782	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
783	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
784	ENDIF
785	ENDIF
786
787	!
788	!-- Resolved fluxes (can be computed for all horizontal points)
789	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
790	!-- ---- speaking the following k-loop would have to be split up and
791	!-- rearranged according to the staggered grid.
792	DO k = nzb_s_inner(j,i), nzt
793	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
794	u(k+1,j,i) - hom(k+1,1,1,sr) )
795	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
796	v(k+1,j,i) - hom(k+1,1,2,sr) )
797	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
798	pt(k+1,j,i) - hom(k+1,1,4,sr) )
799
800	!-- Higher moments
801	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
802	rmask(j,i,sr)
803	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
804	rmask(j,i,sr)
805
806	!
807	!-- Salinity flux and density (density does not belong to here,
808	!-- but so far there is no other suitable place to calculate)
809	IF ( ocean ) THEN
810	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
811	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
812	sa(k+1,j,i) - hom(k+1,1,23,sr) )
813	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
814	rmask(j,i,sr)
815	ENDIF
816	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
817	rmask(j,i,sr)
818	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
819	rmask(j,i,sr)
820	ENDIF
821
822	!
823	!-- Buoyancy flux, water flux, humidity flux, liquid water
824	!-- content, rain drop concentration and rain water content
825	IF ( humidity ) THEN
826	IF ( cloud_physics .OR. cloud_droplets ) THEN
827	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
828	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
829	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
830	rmask(j,i,sr)
831	IF ( .NOT. cloud_droplets ) THEN
832	pts = 0.5_wp * &
833	( ( q(k,j,i) - ql(k,j,i) ) - &
834	hom(k,1,42,sr) + &
835	( q(k+1,j,i) - ql(k+1,j,i) ) - &
836	hom(k+1,1,42,sr) )
837	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
838	rmask(j,i,sr)
839	IF ( icloud_scheme == 0 ) THEN
840	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
841	rmask(j,i,sr)
842	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
843	rmask(j,i,sr)
844	IF ( precipitation ) THEN
845	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
846	rmask(j,i,sr)
847	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
848	rmask(j,i,sr)
849	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) *&
850	rmask(j,i,sr)
851	ENDIF
852	ELSE
853	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
854	rmask(j,i,sr)
855	ENDIF
856	ELSE
857	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
858	rmask(j,i,sr)
859	ENDIF
860	ELSE
861	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
862	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
863	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
864	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
865	rmask(j,i,sr)
866	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
867	sums_l(k,46,tn) = ( 1.0_wp + 0.61_wp * &
868	hom(k,1,41,sr) ) * &
869	sums_l(k,17,tn) + &
870	0.61_wp * hom(k,1,4,sr) * &
871	sums_l(k,49,tn)
872	END IF
873	END IF
874	ENDIF
875	!
876	!-- Passive scalar flux
877	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
878	.OR. sr /= 0 ) ) THEN
879	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
880	q(k+1,j,i) - hom(k+1,1,41,sr) )
881	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
882	rmask(j,i,sr)
883	ENDIF
884
885	!
886	!-- Energy flux we
887	!-- has to be adjusted
888	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
889	( ust2 + vst2 + w(k,j,i)**2 ) &
890	* rmask(j,i,sr)
891	ENDDO
892	ENDDO
893	ENDDO
894	!
895	!-- For speed optimization fluxes which have been computed in part directly
896	!-- inside the WS advection routines are treated seperatly
897	!-- Momentum fluxes first:
898	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
899	!$OMP DO
900	DO i = nxl, nxr
901	DO j = nys, nyn
902	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
903	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
904	u(k+1,j,i) - hom(k+1,1,1,sr) )
905	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
906	v(k+1,j,i) - hom(k+1,1,2,sr) )
907	!
908	!-- Momentum flux wu
909	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
910	( w(k,j,i-1) + w(k,j,i) ) &
911	* ust * rmask(j,i,sr)
912	!
913	!-- Momentum flux wv
914	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * &
915	( w(k,j-1,i) + w(k,j,i) ) &
916	* vst * rmask(j,i,sr)
917	ENDDO
918	ENDDO
919	ENDDO
920
921	ENDIF
922	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
923	!$OMP DO
924	DO i = nxl, nxr
925	DO j = nys, nyn
926	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
927	!
928	!-- Vertical heat flux
929	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
930	( pt(k,j,i) - hom(k,1,4,sr) + &
931	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
932	* w(k,j,i) * rmask(j,i,sr)
933	IF ( humidity ) THEN
934	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
935	q(k+1,j,i) - hom(k+1,1,41,sr) )
936	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
937	rmask(j,i,sr)
938	ENDIF
939	ENDDO
940	ENDDO
941	ENDDO
942
943	ENDIF
944
945	!
946	!-- Density at top follows Neumann condition
947	IF ( ocean ) THEN
948	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
949	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
950	ENDIF
951
952	!
953	!-- Divergence of vertical flux of resolved scale energy and pressure
954	!-- fluctuations as well as flux of pressure fluctuation itself (68).
955	!-- First calculate the products, then the divergence.
956	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
957	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) THEN
958
959	sums_ll = 0.0_wp ! local array
960
961	!$OMP DO
962	DO i = nxl, nxr
963	DO j = nys, nyn
964	DO k = nzb_s_inner(j,i)+1, nzt
965
966	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
967	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
968	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
969	) )**2 &
970	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
971	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
972	) )**2 &
973	+ w(k,j,i)**2 )
974
975	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
976	* ( p(k,j,i) + p(k+1,j,i) )
977
978	ENDDO
979	ENDDO
980	ENDDO
981	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
982	sums_ll(nzt+1,1) = 0.0_wp
983	sums_ll(0,2) = 0.0_wp
984	sums_ll(nzt+1,2) = 0.0_wp
985
986	DO k = nzb+1, nzt
987	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
988	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
989	sums_l(k,68,tn) = sums_ll(k,2)
990	ENDDO
991	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
992	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
993	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
994
995	ENDIF
996
997	!
998	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
999	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) THEN
1000
1001	!$OMP DO
1002	DO i = nxl, nxr
1003	DO j = nys, nyn
1004	DO k = nzb_s_inner(j,i)+1, nzt
1005
1006	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1007	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1008	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1009	) * ddzw(k)
1010
1011	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1012	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1013	)
1014
1015	ENDDO
1016	ENDDO
1017	ENDDO
1018	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1019	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1020
1021	ENDIF
1022
1023	!
1024	!-- Horizontal heat fluxes (subgrid, resolved, total).
1025	!-- Do it only, if profiles shall be plotted.
1026	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1027
1028	!$OMP DO
1029	DO i = nxl, nxr
1030	DO j = nys, nyn
1031	DO k = nzb_s_inner(j,i)+1, nzt
1032	!
1033	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1034	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1035	( kh(k,j,i) + kh(k,j,i-1) ) &
1036	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1037	* ddx * rmask(j,i,sr)
1038	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1039	( kh(k,j,i) + kh(k,j-1,i) ) &
1040	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1041	* ddy * rmask(j,i,sr)
1042	!
1043	!-- Resolved horizontal heat fluxes upt, vpt
1044	sums_l(k,59,tn) = sums_l(k,59,tn) + &
1045	( u(k,j,i) - hom(k,1,1,sr) ) &
1046	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1047	pt(k,j,i) - hom(k,1,4,sr) )
1048	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1049	pt(k,j,i) - hom(k,1,4,sr) )
1050	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1051	( v(k,j,i) - hom(k,1,2,sr) ) &
1052	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1053	pt(k,j,i) - hom(k,1,4,sr) )
1054	ENDDO
1055	ENDDO
1056	ENDDO
1057	!
1058	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1059	sums_l(nzb,58,tn) = 0.0_wp
1060	sums_l(nzb,59,tn) = 0.0_wp
1061	sums_l(nzb,60,tn) = 0.0_wp
1062	sums_l(nzb,61,tn) = 0.0_wp
1063	sums_l(nzb,62,tn) = 0.0_wp
1064	sums_l(nzb,63,tn) = 0.0_wp
1065
1066	ENDIF
1067
1068	!
1069	!-- Collect current large scale advection and subsidence tendencies for
1070	!-- data output
1071	IF ( large_scale_forcing .AND. ( simulated_time .GT. 0.0_wp ) ) THEN
1072	!
1073	!-- Interpolation in time of LSF_DATA
1074	nt = 1
1075	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1076	nt = nt + 1
1077	ENDDO
1078	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1079	nt = nt - 1
1080	ENDIF
1081
1082	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
1083	/ ( time_vert(nt+1)-time_vert(nt) )
1084
1085
1086	DO k = nzb, nzt
1087	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
1088	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1089	sums_ls_l(k,1) = td_lsa_q(k,nt) &
1090	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1091	ENDDO
1092
1093	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1094	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1095
1096	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1097
1098	DO k = nzb, nzt
1099	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
1100	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1101	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
1102	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1103	ENDDO
1104
1105	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1106	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1107
1108	ENDIF
1109
1110	ENDIF
1111
1112
1113	IF ( land_surface ) THEN
1114	!$OMP DO
1115	DO i = nxl, nxr
1116	DO j = nys, nyn
1117	DO k = nzb_soil, nzt_soil
1118	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil(k,j,i) * rmask(j,i,sr)
1119	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil(k,j,i) * rmask(j,i,sr)
1120	ENDDO
1121	ENDDO
1122	ENDDO
1123	ENDIF
1124
1125
1126	!
1127	!-- Calculate the user-defined profiles
1128	CALL user_statistics( 'profiles', sr, tn )
1129	!$OMP END PARALLEL
1130
1131	!
1132	!-- Summation of thread sums
1133	IF ( threads_per_task > 1 ) THEN
1134	DO i = 1, threads_per_task-1
1135	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1136	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1137	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1138	sums_l(:,45:pr_palm,i)
1139	IF ( max_pr_user > 0 ) THEN
1140	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1141	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1142	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1143	ENDIF
1144	ENDDO
1145	ENDIF
1146
1147	#if defined( __parallel )
1148
1149	!
1150	!-- Compute total sum from local sums
1151	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1152	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1153	MPI_SUM, comm2d, ierr )
1154	IF ( large_scale_forcing ) THEN
1155	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
1156	MPI_REAL, MPI_SUM, comm2d, ierr )
1157	ENDIF
1158	#else
1159	sums = sums_l(:,:,0)
1160	IF ( large_scale_forcing ) THEN
1161	sums(:,81:88) = sums_ls_l
1162	ENDIF
1163	#endif
1164
1165	!
1166	!-- Final values are obtained by division by the total number of grid points
1167	!-- used for summation. After that store profiles.
1168	!-- Profiles:
1169	DO k = nzb, nzt+1
1170	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1171	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1172	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1173	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1174	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1175	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1176	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1177	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1178	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1179	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1180	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1181	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1182	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
1183	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1184	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1185	sums(k,89:100) = sums(k,89:100) / ngp_2dh(sr)
1186	sums(k,101:pr_palm-2) = sums(k,101:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
1187	ENDDO
1188
1189	!-- Upstream-parts
1190	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
1191	!-- u* and so on
1192	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1193	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1194	!-- above the topography, they are being divided by ngp_2dh(sr)
1195	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1196	ngp_2dh(sr)
1197	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1198	ngp_2dh(sr)
1199	!-- eges, e*
1200	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1201	ngp_3d(sr)
1202	!-- Old and new divergence
1203	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1204	ngp_3d_inner(sr)
1205
1206	!-- User-defined profiles
1207	IF ( max_pr_user > 0 ) THEN
1208	DO k = nzb, nzt+1
1209	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1210	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1211	ngp_2dh_s_inner(k,sr)
1212	ENDDO
1213	ENDIF
1214
1215	!
1216	!-- Collect horizontal average in hom.
1217	!-- Compute deduced averages (e.g. total heat flux)
1218	hom(:,1,3,sr) = sums(:,3) ! w
1219	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1220	hom(:,1,9,sr) = sums(:,9) ! km
1221	hom(:,1,10,sr) = sums(:,10) ! kh
1222	hom(:,1,11,sr) = sums(:,11) ! l
1223	hom(:,1,12,sr) = sums(:,12) ! w"u"
1224	hom(:,1,13,sr) = sums(:,13) ! wu
1225	hom(:,1,14,sr) = sums(:,14) ! w"v"
1226	hom(:,1,15,sr) = sums(:,15) ! wv
1227	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1228	hom(:,1,17,sr) = sums(:,17) ! wpt
1229	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1230	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1231	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1232	hom(:,1,21,sr) = sums(:,21) ! wptBC
1233	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1234	! profile 24 is initial profile (sa)
1235	! profiles 25-29 left empty for initial
1236	! profiles
1237	hom(:,1,30,sr) = sums(:,30) ! u*2
1238	hom(:,1,31,sr) = sums(:,31) ! v*2
1239	hom(:,1,32,sr) = sums(:,32) ! w*2
1240	hom(:,1,33,sr) = sums(:,33) ! pt*2
1241	hom(:,1,34,sr) = sums(:,34) ! e*
1242	hom(:,1,35,sr) = sums(:,35) ! w2pt
1243	hom(:,1,36,sr) = sums(:,36) ! wpt2
1244	hom(:,1,37,sr) = sums(:,37) ! we
1245	hom(:,1,38,sr) = sums(:,38) ! w*3
1246	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1247	hom(:,1,40,sr) = sums(:,40) ! p
1248	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1249	hom(:,1,46,sr) = sums(:,46) ! wvpt
1250	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1251	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1252	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1253	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1254	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1255	hom(:,1,52,sr) = sums(:,52) ! wqv
1256	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1257	hom(:,1,54,sr) = sums(:,54) ! ql
1258	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1259	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1260	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
1261	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1262	hom(:,1,59,sr) = sums(:,59) ! upt
1263	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1264	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1265	hom(:,1,62,sr) = sums(:,62) ! vpt
1266	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1267	hom(:,1,64,sr) = sums(:,64) ! rho
1268	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1269	hom(:,1,66,sr) = sums(:,66) ! wsa
1270	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1271	hom(:,1,68,sr) = sums(:,68) ! wp
1272	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
1273	hom(:,1,70,sr) = sums(:,70) ! q*2
1274	hom(:,1,71,sr) = sums(:,71) ! prho
1275	hom(:,1,72,sr) = hyp * 1E-4_wp ! hyp in dbar
1276	hom(:,1,73,sr) = sums(:,73) ! nr
1277	hom(:,1,74,sr) = sums(:,74) ! qr
1278	hom(:,1,75,sr) = sums(:,75) ! qc
1279	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1280	! 77 is initial density profile
1281	hom(:,1,78,sr) = ug ! ug
1282	hom(:,1,79,sr) = vg ! vg
1283	hom(:,1,80,sr) = w_subs ! w_subs
1284
1285	IF ( large_scale_forcing ) THEN
1286	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1287	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1288	IF ( use_subsidence_tendencies ) THEN
1289	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1290	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1291	ELSE
1292	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1293	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1294	ENDIF
1295	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1296	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1297	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1298	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1299	ENDIF
1300
1301	IF ( land_surface ) THEN
1302	hom(:,1,89,sr) = sums(:,89) ! t_soil
1303	! 90 is initial t_soil profile
1304	hom(:,1,91,sr) = sums(:,91) ! m_soil
1305	! 92 is initial m_soil profile
1306	hom(:,1,93,sr) = sums(:,93) ! ghf_eb
1307	hom(:,1,94,sr) = sums(:,94) ! shf_eb
1308	hom(:,1,95,sr) = sums(:,95) ! qsws_eb
1309	hom(:,1,96,sr) = sums(:,96) ! qsws_liq_eb
1310	hom(:,1,97,sr) = sums(:,97) ! qsws_soil_eb
1311	hom(:,1,98,sr) = sums(:,98) ! qsws_veg_eb
1312	hom(:,1,99,sr) = sums(:,99) ! r_a
1313	hom(:,1,100,sr) = sums(:,100) ! r_s
1314
1315	ENDIF
1316
1317	IF ( radiation ) THEN
1318	hom(:,1,101 ,sr) = sums(:,101) ! rad_net
1319	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
1320	ENDIF
1321
1322	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
1323	! upstream-parts u_x, u_y, u_z, v_x,
1324	! v_y, usw. (in last but one profile)
1325	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
1326	! u, w'u', w'v', t (in last profile)
1327
1328	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
1329	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
1330	sums(:,pr_palm+1:pr_palm+max_pr_user)
1331	ENDIF
1332
1333	!
1334	!-- Determine the boundary layer height using two different schemes.
1335	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
1336	!-- first relative minimum (maximum) of the total heat flux.
1337	!-- The corresponding height is assumed as the boundary layer height, if it
1338	!-- is less than 1.5 times the height where the heat flux becomes negative
1339	!-- (positive) for the first time.
1340	z_i(1) = 0.0_wp
1341	first = .TRUE.
1342
1343	IF ( ocean ) THEN
1344	DO k = nzt, nzb+1, -1
1345	IF ( first .AND. hom(k,1,18,sr) < 0.0_wp &
1346	.AND. abs(hom(k,1,18,sr)) > 1.0E-8_wp) THEN
1347	first = .FALSE.
1348	height = zw(k)
1349	ENDIF
1350	IF ( hom(k,1,18,sr) < 0.0_wp .AND. &
1351	abs(hom(k,1,18,sr)) > 1.0E-8_wp .AND. &
1352	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
1353	IF ( zw(k) < 1.5_wp * height ) THEN
1354	z_i(1) = zw(k)
1355	ELSE
1356	z_i(1) = height
1357	ENDIF
1358	EXIT
1359	ENDIF
1360	ENDDO
1361	ELSE
1362	DO k = nzb, nzt-1
1363	IF ( first .AND. hom(k,1,18,sr) < 0.0_wp &
1364	.AND. abs(hom(k,1,18,sr)) > 1.0E-8_wp ) THEN
1365	first = .FALSE.
1366	height = zw(k)
1367	ENDIF
1368	IF ( hom(k,1,18,sr) < 0.0_wp .AND. &
1369	abs(hom(k,1,18,sr)) > 1.0E-8_wp .AND. &
1370	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
1371	IF ( zw(k) < 1.5_wp * height ) THEN
1372	z_i(1) = zw(k)
1373	ELSE
1374	z_i(1) = height
1375	ENDIF
1376	EXIT
1377	ENDIF
1378	ENDDO
1379	ENDIF
1380
1381	!
1382	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
1383	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
1384	!-- maximal local temperature gradient: starting from the second (the last
1385	!-- but one) vertical gridpoint, the local gradient must be at least
1386	!-- 0.2K/100m and greater than the next four gradients.
1387	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
1388	!-- ocean case!
1389	z_i(2) = 0.0_wp
1390	DO k = nzb+1, nzt+1
1391	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
1392	ENDDO
1393	dptdz_threshold = 0.2_wp / 100.0_wp
1394
1395	IF ( ocean ) THEN
1396	DO k = nzt+1, nzb+5, -1
1397	IF ( dptdz(k) > dptdz_threshold .AND. &
1398	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
1399	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
1400	z_i(2) = zw(k-1)
1401	EXIT
1402	ENDIF
1403	ENDDO
1404	ELSE
1405	DO k = nzb+1, nzt-3
1406	IF ( dptdz(k) > dptdz_threshold .AND. &
1407	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
1408	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
1409	z_i(2) = zw(k-1)
1410	EXIT
1411	ENDIF
1412	ENDDO
1413	ENDIF
1414
1415	hom(nzb+6,1,pr_palm,sr) = z_i(1)
1416	hom(nzb+7,1,pr_palm,sr) = z_i(2)
1417
1418	!
1419	!-- Computation of both the characteristic vertical velocity and
1420	!-- the characteristic convective boundary layer temperature.
1421	!-- The horizontal average at nzb+1 is input for the average temperature.
1422	IF ( hom(nzb,1,18,sr) > 0.0_wp .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8_wp &
1423	.AND. z_i(1) /= 0.0_wp ) THEN
1424	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
1425	hom(nzb,1,18,sr) * &
1426	ABS( z_i(1) ) )**0.333333333_wp
1427	!-- so far this only works if Prandtl layer is used
1428	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
1429	ELSE
1430	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
1431	hom(nzb+11,1,pr_palm,sr) = 0.0_wp
1432	ENDIF
1433
1434	!
1435	!-- Collect the time series quantities
1436	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
1437	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
1438	ts_value(3,sr) = dt_3d
1439	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
1440	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
1441	ts_value(6,sr) = u_max
1442	ts_value(7,sr) = v_max
1443	ts_value(8,sr) = w_max
1444	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
1445	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
1446	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
1447	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
1448	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
1449	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
1450	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
1451	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
1452	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
1453	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
1454	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
1455	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
1456	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
1457
1458	IF ( ts_value(5,sr) /= 0.0_wp ) THEN
1459	ts_value(22,sr) = ts_value(4,sr)**2 / &
1460	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
1461	ELSE
1462	ts_value(22,sr) = 10000.0_wp
1463	ENDIF
1464
1465	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
1466
1467	!
1468	!-- Collect land surface model timeseries
1469	IF ( land_surface ) THEN
1470	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf_eb
1471	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! shf_eb
1472	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_eb
1473	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_liq_eb
1474	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! qsws_soil_eb
1475	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! qsws_veg_eb
1476	ts_value(dots_soil+6,sr) = hom(nzb,1,99,sr) ! r_a
1477	ts_value(dots_soil+7,sr) = hom(nzb,1,100,sr) ! r_s
1478	ENDIF
1479	!
1480	!-- Collect radiation model timeseries
1481	IF ( radiation ) THEN
1482	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
1483	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_sw_in
1484	ENDIF
1485
1486	!
1487	!-- Calculate additional statistics provided by the user interface
1488	CALL user_statistics( 'time_series', sr, 0 )
1489
1490	ENDDO ! loop of the subregions
1491
1492	!
1493	!-- If required, sum up horizontal averages for subsequent time averaging
1494	IF ( do_sum ) THEN
1495	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
1496	hom_sum = hom_sum + hom(:,1,:,:)
1497	average_count_pr = average_count_pr + 1
1498	do_sum = .FALSE.
1499	ENDIF
1500
1501	!
1502	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
1503	!-- This flag is reset after each time step in time_integration.
1504	flow_statistics_called = .TRUE.
1505
1506	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
1507
1508
1509	END SUBROUTINE flow_statistics
1510
1511
1512	#else
1513
1514
1515	!------------------------------------------------------------------------------!
1516	! flow statistics - accelerator version
1517	!------------------------------------------------------------------------------!
1518	SUBROUTINE flow_statistics
1519
1520	USE arrays_3d, &
1521	ONLY: ddzu, ddzw, e, hyp, km, kh, nr, p, prho, pt, q, qc, ql, qr, qs, &
1522	qsws, qswst, rho, sa, saswsb, saswst, shf, td_lsa_lpt, td_lsa_q,&
1523	td_sub_lpt, td_sub_q, time_vert, ts, tswst, u, ug, us, usws, &
1524	uswst, vsws, v, vg, vpt, vswst, w, w_subs, zw
1525
1526
1527	USE cloud_parameters, &
1528	ONLY: l_d_cp, prr, pt_d_t
1529
1530	USE control_parameters, &
1531	ONLY : average_count_pr, cloud_droplets, cloud_physics, do_sum, &
1532	dt_3d, g, humidity, icloud_scheme, kappa, large_scale_forcing, &
1533	large_scale_subsidence, max_pr_user, message_string, ocean, &
1534	passive_scalar, precipitation, simulated_time, &
1535	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
1536	ws_scheme_mom, ws_scheme_sca
1537
1538	USE cpulog, &
1539	ONLY: cpu_log, log_point
1540
1541	USE grid_variables, &
1542	ONLY: ddx, ddy
1543
1544	USE indices, &
1545	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
1546	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzb_diff_s_inner, &
1547	nzb_s_inner, nzt, nzt_diff, rflags_invers
1548
1549	USE kinds
1550
1551	USE pegrid
1552
1553	USE statistics
1554
1555	IMPLICIT NONE
1556
1557	INTEGER(iwp) :: i !:
1558	INTEGER(iwp) :: j !:
1559	INTEGER(iwp) :: k !:
1560	INTEGER(iwp) :: nt !:
1561	INTEGER(iwp) :: omp_get_thread_num !:
1562	INTEGER(iwp) :: sr !:
1563	INTEGER(iwp) :: tn !:
1564
1565	LOGICAL :: first !:
1566
1567	REAL(wp) :: dptdz_threshold !:
1568	REAL(wp) :: fac !:
1569	REAL(wp) :: height !:
1570	REAL(wp) :: pts !:
1571	REAL(wp) :: sums_l_eper !:
1572	REAL(wp) :: sums_l_etot !:
1573	REAL(wp) :: s1 !:
1574	REAL(wp) :: s2 !:
1575	REAL(wp) :: s3 !:
1576	REAL(wp) :: s4 !:
1577	REAL(wp) :: s5 !:
1578	REAL(wp) :: s6 !:
1579	REAL(wp) :: s7 !:
1580	REAL(wp) :: ust !:
1581	REAL(wp) :: ust2 !:
1582	REAL(wp) :: u2 !:
1583	REAL(wp) :: vst !:
1584	REAL(wp) :: vst2 !:
1585	REAL(wp) :: v2 !:
1586	REAL(wp) :: w2 !:
1587	REAL(wp) :: z_i(2) !:
1588
1589	REAL(wp) :: dptdz(nzb+1:nzt+1) !:
1590	REAL(wp) :: sums_ll(nzb:nzt+1,2) !:
1591
1592	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
1593
1594	!
1595	!-- To be on the safe side, check whether flow_statistics has already been
1596	!-- called once after the current time step
1597	IF ( flow_statistics_called ) THEN
1598
1599	message_string = 'flow_statistics is called two times within one ' // &
1600	'timestep'
1601	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
1602
1603	ENDIF
1604
1605	!$acc data create( sums, sums_l )
1606	!$acc update device( hom )
1607
1608	!
1609	!-- Compute statistics for each (sub-)region
1610	DO sr = 0, statistic_regions
1611
1612	!
1613	!-- Initialize (local) summation array
1614	sums_l = 0.0_wp
1615
1616	!
1617	!-- Store sums that have been computed in other subroutines in summation
1618	!-- array
1619	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
1620	!-- WARNING: next line still has to be adjusted for OpenMP
1621	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
1622	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
1623	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
1624
1625	!
1626	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
1627	!-- scale) vertical fluxes and velocity variances by using commonly-
1628	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
1629	!-- in combination with the 5th order advection scheme, pronounced
1630	!-- artificial kinks could be observed in the vertical profiles near the
1631	!-- surface. Please note: these kinks were not related to the model truth,
1632	!-- i.e. these kinks are just related to an evaluation problem.
1633	!-- In order avoid these kinks, vertical fluxes and horizontal as well
1634	!-- vertical velocity variances are calculated directly within the advection
1635	!-- routines, according to the numerical discretization, to evaluate the
1636	!-- statistical quantities as they will appear within the prognostic
1637	!-- equations.
1638	!-- Copy the turbulent quantities, evaluated in the advection routines to
1639	!-- the local array sums_l() for further computations.
1640	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
1641
1642	!
1643	!-- According to the Neumann bc for the horizontal velocity components,
1644	!-- the corresponding fluxes has to satisfiy the same bc.
1645	IF ( ocean ) THEN
1646	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
1647	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
1648	ENDIF
1649
1650	DO i = 0, threads_per_task-1
1651	!
1652	!-- Swap the turbulent quantities evaluated in advec_ws.
1653	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
1654	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
1655	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
1656	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
1657	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
1658	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
1659	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
1660	sums_ws2_ws_l(:,i) ) ! e*
1661	DO k = nzb, nzt
1662	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5_wp * ( &
1663	sums_us2_ws_l(k,i) + &
1664	sums_vs2_ws_l(k,i) + &
1665	sums_ws2_ws_l(k,i) )
1666	ENDDO
1667	ENDDO
1668
1669	ENDIF
1670
1671	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1672
1673	DO i = 0, threads_per_task-1
1674	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
1675	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
1676	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
1677	sums_wsqs_ws_l(:,i) !wq
1678	ENDDO
1679
1680	ENDIF
1681	!
1682	!-- Horizontally averaged profiles of horizontal velocities and temperature.
1683	!-- They must have been computed before, because they are already required
1684	!-- for other horizontal averages.
1685	tn = 0
1686
1687	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1688	#if defined( __intel_openmp_bug )
1689	tn = omp_get_thread_num()
1690	#else
1691	!$ tn = omp_get_thread_num()
1692	#endif
1693
1694	!$acc update device( sums_l )
1695
1696	!$OMP DO
1697	!$acc parallel loop gang present( pt, rflags_invers, rmask, sums_l, u, v ) create( s1, s2, s3 )
1698	DO k = nzb, nzt+1
1699	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
1700	DO i = nxl, nxr
1701	DO j = nys, nyn
1702	!
1703	!-- k+1 is used in rflags since rflags is set 0 at surface points
1704	s1 = s1 + u(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1705	s2 = s2 + v(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1706	s3 = s3 + pt(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1707	ENDDO
1708	ENDDO
1709	sums_l(k,1,tn) = s1
1710	sums_l(k,2,tn) = s2
1711	sums_l(k,4,tn) = s3
1712	ENDDO
1713	!$acc end parallel loop
1714
1715	!
1716	!-- Horizontally averaged profile of salinity
1717	IF ( ocean ) THEN
1718	!$OMP DO
1719	!$acc parallel loop gang present( rflags_invers, rmask, sums_l, sa ) create( s1 )
1720	DO k = nzb, nzt+1
1721	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1722	DO i = nxl, nxr
1723	DO j = nys, nyn
1724	s1 = s1 + sa(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1725	ENDDO
1726	ENDDO
1727	sums_l(k,23,tn) = s1
1728	ENDDO
1729	!$acc end parallel loop
1730	ENDIF
1731
1732	!
1733	!-- Horizontally averaged profiles of virtual potential temperature,
1734	!-- total water content, specific humidity and liquid water potential
1735	!-- temperature
1736	IF ( humidity ) THEN
1737
1738	!$OMP DO
1739	!$acc parallel loop gang present( q, rflags_invers, rmask, sums_l, vpt ) create( s1, s2 )
1740	DO k = nzb, nzt+1
1741	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
1742	DO i = nxl, nxr
1743	DO j = nys, nyn
1744	s1 = s1 + q(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1745	s2 = s2 + vpt(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1746	ENDDO
1747	ENDDO
1748	sums_l(k,41,tn) = s1
1749	sums_l(k,44,tn) = s2
1750	ENDDO
1751	!$acc end parallel loop
1752
1753	IF ( cloud_physics ) THEN
1754	!$OMP DO
1755	!$acc parallel loop gang present( pt, q, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
1756	DO k = nzb, nzt+1
1757	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
1758	DO i = nxl, nxr
1759	DO j = nys, nyn
1760	s1 = s1 + ( q(k,j,i) - ql(k,j,i) ) * &
1761	rmask(j,i,sr) * rflags_invers(j,i,k+1)
1762	s2 = s2 + ( pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) ) * &
1763	rmask(j,i,sr) * rflags_invers(j,i,k+1)
1764	ENDDO
1765	ENDDO
1766	sums_l(k,42,tn) = s1
1767	sums_l(k,43,tn) = s2
1768	ENDDO
1769	!$acc end parallel loop
1770	ENDIF
1771	ENDIF
1772
1773	!
1774	!-- Horizontally averaged profiles of passive scalar
1775	IF ( passive_scalar ) THEN
1776	!$OMP DO
1777	!$acc parallel loop gang present( q, rflags_invers, rmask, sums_l ) create( s1 )
1778	DO k = nzb, nzt+1
1779	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1780	DO i = nxl, nxr
1781	DO j = nys, nyn
1782	s1 = s1 + q(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1783	ENDDO
1784	ENDDO
1785	sums_l(k,41,tn) = s1
1786	ENDDO
1787	!$acc end parallel loop
1788	ENDIF
1789	!$OMP END PARALLEL
1790
1791	!
1792	!-- Summation of thread sums
1793	IF ( threads_per_task > 1 ) THEN
1794	DO i = 1, threads_per_task-1
1795	!$acc parallel present( sums_l )
1796	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
1797	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
1798	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
1799	!$acc end parallel
1800	IF ( ocean ) THEN
1801	!$acc parallel present( sums_l )
1802	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
1803	!$acc end parallel
1804	ENDIF
1805	IF ( humidity ) THEN
1806	!$acc parallel present( sums_l )
1807	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
1808	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
1809	!$acc end parallel
1810	IF ( cloud_physics ) THEN
1811	!$acc parallel present( sums_l )
1812	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
1813	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
1814	!$acc end parallel
1815	ENDIF
1816	ENDIF
1817	IF ( passive_scalar ) THEN
1818	!$acc parallel present( sums_l )
1819	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
1820	!$acc end parallel
1821	ENDIF
1822	ENDDO
1823	ENDIF
1824
1825	#if defined( __parallel )
1826	!
1827	!-- Compute total sum from local sums
1828	!$acc update host( sums_l )
1829	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1830	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
1831	MPI_SUM, comm2d, ierr )
1832	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1833	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
1834	MPI_SUM, comm2d, ierr )
1835	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1836	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
1837	MPI_SUM, comm2d, ierr )
1838	IF ( ocean ) THEN
1839	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1840	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
1841	MPI_REAL, MPI_SUM, comm2d, ierr )
1842	ENDIF
1843	IF ( humidity ) THEN
1844	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1845	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
1846	MPI_REAL, MPI_SUM, comm2d, ierr )
1847	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1848	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
1849	MPI_REAL, MPI_SUM, comm2d, ierr )
1850	IF ( cloud_physics ) THEN
1851	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1852	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
1853	MPI_REAL, MPI_SUM, comm2d, ierr )
1854	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1855	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
1856	MPI_REAL, MPI_SUM, comm2d, ierr )
1857	ENDIF
1858	ENDIF
1859
1860	IF ( passive_scalar ) THEN
1861	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1862	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
1863	MPI_REAL, MPI_SUM, comm2d, ierr )
1864	ENDIF
1865	!$acc update device( sums )
1866	#else
1867	!$acc parallel present( sums, sums_l )
1868	sums(:,1) = sums_l(:,1,0)
1869	sums(:,2) = sums_l(:,2,0)
1870	sums(:,4) = sums_l(:,4,0)
1871	!$acc end parallel
1872	IF ( ocean ) THEN
1873	!$acc parallel present( sums, sums_l )
1874	sums(:,23) = sums_l(:,23,0)
1875	!$acc end parallel
1876	ENDIF
1877	IF ( humidity ) THEN
1878	!$acc parallel present( sums, sums_l )
1879	sums(:,44) = sums_l(:,44,0)
1880	sums(:,41) = sums_l(:,41,0)
1881	!$acc end parallel
1882	IF ( cloud_physics ) THEN
1883	!$acc parallel present( sums, sums_l )
1884	sums(:,42) = sums_l(:,42,0)
1885	sums(:,43) = sums_l(:,43,0)
1886	!$acc end parallel
1887	ENDIF
1888	ENDIF
1889	IF ( passive_scalar ) THEN
1890	!$acc parallel present( sums, sums_l )
1891	sums(:,41) = sums_l(:,41,0)
1892	!$acc end parallel
1893	ENDIF
1894	#endif
1895
1896	!
1897	!-- Final values are obtained by division by the total number of grid points
1898	!-- used for summation. After that store profiles.
1899	!$acc parallel present( hom, ngp_2dh, ngp_2dh_s_inner, sums )
1900	sums(:,1) = sums(:,1) / ngp_2dh(sr)
1901	sums(:,2) = sums(:,2) / ngp_2dh(sr)
1902	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
1903	hom(:,1,1,sr) = sums(:,1) ! u
1904	hom(:,1,2,sr) = sums(:,2) ! v
1905	hom(:,1,4,sr) = sums(:,4) ! pt
1906	!$acc end parallel
1907
1908	!
1909	!-- Salinity
1910	IF ( ocean ) THEN
1911	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
1912	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
1913	hom(:,1,23,sr) = sums(:,23) ! sa
1914	!$acc end parallel
1915	ENDIF
1916
1917	!
1918	!-- Humidity and cloud parameters
1919	IF ( humidity ) THEN
1920	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
1921	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
1922	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
1923	hom(:,1,44,sr) = sums(:,44) ! vpt
1924	hom(:,1,41,sr) = sums(:,41) ! qv (q)
1925	!$acc end parallel
1926	IF ( cloud_physics ) THEN
1927	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
1928	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
1929	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
1930	hom(:,1,42,sr) = sums(:,42) ! qv
1931	hom(:,1,43,sr) = sums(:,43) ! pt
1932	!$acc end parallel
1933	ENDIF
1934	ENDIF
1935
1936	!
1937	!-- Passive scalar
1938	IF ( passive_scalar ) THEN
1939	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
1940	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
1941	hom(:,1,41,sr) = sums(:,41) ! s (q)
1942	!$acc end parallel
1943	ENDIF
1944
1945	!
1946	!-- Horizontally averaged profiles of the remaining prognostic variables,
1947	!-- variances, the total and the perturbation energy (single values in last
1948	!-- column of sums_l) and some diagnostic quantities.
1949	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
1950	!-- ---- speaking the following k-loop would have to be split up and
1951	!-- rearranged according to the staggered grid.
1952	!-- However, this implies no error since staggered velocity components
1953	!-- are zero at the walls and inside buildings.
1954	tn = 0
1955	#if defined( __intel_openmp_bug )
1956	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
1957	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
1958	tn = omp_get_thread_num()
1959	#else
1960	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
1961	!$ tn = omp_get_thread_num()
1962	#endif
1963	!$OMP DO
1964	!$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 )
1965	DO k = nzb, nzt+1
1966	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5, s6, s7 )
1967	DO i = nxl, nxr
1968	DO j = nys, nyn
1969	!
1970	!-- Prognostic and diagnostic variables
1971	s1 = s1 + w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1972	s2 = s2 + e(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1973	s3 = s3 + km(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1974	s4 = s4 + kh(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1975	s5 = s5 + p(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1976	s6 = s6 + ( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr) * &
1977	rflags_invers(j,i,k+1)
1978	!
1979	!-- Higher moments
1980	!-- (Computation of the skewness of w further below)
1981	s7 = s7 + w(k,j,i)*3 rmask(j,i,sr) * rflags_invers(j,i,k+1)
1982	ENDDO
1983	ENDDO
1984	sums_l(k,3,tn) = s1
1985	sums_l(k,8,tn) = s2
1986	sums_l(k,9,tn) = s3
1987	sums_l(k,10,tn) = s4
1988	sums_l(k,40,tn) = s5
1989	sums_l(k,33,tn) = s6
1990	sums_l(k,38,tn) = s7
1991	ENDDO
1992	!$acc end parallel loop
1993
1994	IF ( humidity ) THEN
1995	!$OMP DO
1996	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l ) create( s1 )
1997	DO k = nzb, nzt+1
1998	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1999	DO i = nxl, nxr
2000	DO j = nys, nyn
2001	s1 = s1 + ( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr) * &
2002	rflags_invers(j,i,k+1)
2003	ENDDO
2004	ENDDO
2005	sums_l(k,70,tn) = s1
2006	ENDDO
2007	!$acc end parallel loop
2008	ENDIF
2009
2010	!
2011	!-- Total and perturbation energy for the total domain (being
2012	!-- collected in the last column of sums_l).
2013	!$OMP DO
2014	!$acc parallel loop collapse(3) present( rflags_invers, rmask, u, v, w ) reduction(+:s1)
2015	DO i = nxl, nxr
2016	DO j = nys, nyn
2017	DO k = nzb, nzt+1
2018	s1 = s1 + 0.5_wp * &
2019	( u(k,j,i)2 + v(k,j,i)2 + w(k,j,i)*2 ) &
2020	rmask(j,i,sr) * rflags_invers(j,i,k+1)
2021	ENDDO
2022	ENDDO
2023	ENDDO
2024	!$acc end parallel loop
2025	!$acc parallel present( sums_l )
2026	sums_l(nzb+4,pr_palm,tn) = s1
2027	!$acc end parallel
2028
2029	!$OMP DO
2030	!$acc parallel present( rmask, sums_l, us, usws, vsws, ts ) create( s1, s2, s3, s4 )
2031	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
2032	DO i = nxl, nxr
2033	DO j = nys, nyn
2034	!
2035	!-- 2D-arrays (being collected in the last column of sums_l)
2036	s1 = s1 + us(j,i) * rmask(j,i,sr)
2037	s2 = s2 + usws(j,i) * rmask(j,i,sr)
2038	s3 = s3 + vsws(j,i) * rmask(j,i,sr)
2039	s4 = s4 + ts(j,i) * rmask(j,i,sr)
2040	ENDDO
2041	ENDDO
2042	sums_l(nzb,pr_palm,tn) = s1
2043	sums_l(nzb+1,pr_palm,tn) = s2
2044	sums_l(nzb+2,pr_palm,tn) = s3
2045	sums_l(nzb+3,pr_palm,tn) = s4
2046	!$acc end parallel
2047
2048	IF ( humidity ) THEN
2049	!$acc parallel present( qs, rmask, sums_l ) create( s1 )
2050	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2051	DO i = nxl, nxr
2052	DO j = nys, nyn
2053	s1 = s1 + qs(j,i) * rmask(j,i,sr)
2054	ENDDO
2055	ENDDO
2056	sums_l(nzb+12,pr_palm,tn) = s1
2057	!$acc end parallel
2058	ENDIF
2059
2060	!
2061	!-- Computation of statistics when ws-scheme is not used. Else these
2062	!-- quantities are evaluated in the advection routines.
2063	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
2064
2065	!$OMP DO
2066	!$acc parallel loop gang present( u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3, s4, ust2, vst2, w2 )
2067	DO k = nzb, nzt+1
2068	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
2069	DO i = nxl, nxr
2070	DO j = nys, nyn
2071	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
2072	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
2073	w2 = w(k,j,i)**2
2074
2075	s1 = s1 + ust2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2076	s2 = s2 + vst2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2077	s3 = s3 + w2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2078	!
2079	!-- Perturbation energy
2080	s4 = s4 + 0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * &
2081	rflags_invers(j,i,k+1)
2082	ENDDO
2083	ENDDO
2084	sums_l(k,30,tn) = s1
2085	sums_l(k,31,tn) = s2
2086	sums_l(k,32,tn) = s3
2087	sums_l(k,34,tn) = s4
2088	ENDDO
2089	!$acc end parallel loop
2090	!
2091	!-- Total perturbation TKE
2092	!$OMP DO
2093	!$acc parallel present( sums_l ) create( s1 )
2094	!$acc loop reduction( +: s1 )
2095	DO k = nzb, nzt+1
2096	s1 = s1 + sums_l(k,34,tn)
2097	ENDDO
2098	sums_l(nzb+5,pr_palm,tn) = s1
2099	!$acc end parallel
2100
2101	ENDIF
2102
2103	!
2104	!-- Horizontally averaged profiles of the vertical fluxes
2105
2106	!
2107	!-- Subgridscale fluxes.
2108	!-- WARNING: If a Prandtl-layer is used (k=nzb for flat terrain), the fluxes
2109	!-- ------- should be calculated there in a different way. This is done
2110	!-- in the next loop further below, where results from this loop are
2111	!-- overwritten. However, THIS WORKS IN CASE OF FLAT TERRAIN ONLY!
2112	!-- The non-flat case still has to be handled.
2113	!-- NOTE: for simplicity, nzb_s_inner is used below, although
2114	!-- ---- strictly speaking the following k-loop would have to be
2115	!-- split up according to the staggered grid.
2116	!-- However, this implies no error since staggered velocity
2117	!-- components are zero at the walls and inside buildings.
2118	!$OMP DO
2119	!$acc parallel loop gang present( ddzu, kh, km, pt, u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
2120	DO k = nzb, nzt_diff
2121	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2122	DO i = nxl, nxr
2123	DO j = nys, nyn
2124
2125	!
2126	!-- Momentum flux w"u"
2127	s1 = s1 - 0.25_wp * ( &
2128	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
2129	) * ( &
2130	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
2131	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
2132	) &
2133	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2134	!
2135	!-- Momentum flux w"v"
2136	s2 = s2 - 0.25_wp * ( &
2137	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
2138	) * ( &
2139	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
2140	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
2141	) &
2142	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2143	!
2144	!-- Heat flux w"pt"
2145	s3 = s3 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2146	* ( pt(k+1,j,i) - pt(k,j,i) ) &
2147	* ddzu(k+1) * rmask(j,i,sr) &
2148	* rflags_invers(j,i,k+1)
2149	ENDDO
2150	ENDDO
2151	sums_l(k,12,tn) = s1
2152	sums_l(k,14,tn) = s2
2153	sums_l(k,16,tn) = s3
2154	ENDDO
2155	!$acc end parallel loop
2156
2157	!
2158	!-- Salinity flux w"sa"
2159	IF ( ocean ) THEN
2160	!$acc parallel loop gang present( ddzu, kh, sa, rflags_invers, rmask, sums_l ) create( s1 )
2161	DO k = nzb, nzt_diff
2162	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2163	DO i = nxl, nxr
2164	DO j = nys, nyn
2165	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2166	* ( sa(k+1,j,i) - sa(k,j,i) ) &
2167	* ddzu(k+1) * rmask(j,i,sr) &
2168	* rflags_invers(j,i,k+1)
2169	ENDDO
2170	ENDDO
2171	sums_l(k,65,tn) = s1
2172	ENDDO
2173	!$acc end parallel loop
2174	ENDIF
2175
2176	!
2177	!-- Buoyancy flux, water flux (humidity flux) w"q"
2178	IF ( humidity ) THEN
2179
2180	!$acc parallel loop gang present( ddzu, kh, q, vpt, rflags_invers, rmask, sums_l ) create( s1, s2 )
2181	DO k = nzb, nzt_diff
2182	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2183	DO i = nxl, nxr
2184	DO j = nys, nyn
2185	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2186	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
2187	* ddzu(k+1) * rmask(j,i,sr) &
2188	* rflags_invers(j,i,k+1)
2189	s2 = s2 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2190	* ( q(k+1,j,i) - q(k,j,i) ) &
2191	* ddzu(k+1) * rmask(j,i,sr) &
2192	* rflags_invers(j,i,k+1)
2193	ENDDO
2194	ENDDO
2195	sums_l(k,45,tn) = s1
2196	sums_l(k,48,tn) = s2
2197	ENDDO
2198	!$acc end parallel loop
2199
2200	IF ( cloud_physics ) THEN
2201
2202	!$acc parallel loop gang present( ddzu, kh, q, ql, rflags_invers, rmask, sums_l ) create( s1 )
2203	DO k = nzb, nzt_diff
2204	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2205	DO i = nxl, nxr
2206	DO j = nys, nyn
2207	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2208	* ( ( q(k+1,j,i) - ql(k+1,j,i) ) &
2209	- ( q(k,j,i) - ql(k,j,i) ) ) &
2210	* ddzu(k+1) * rmask(j,i,sr) &
2211	* rflags_invers(j,i,k+1)
2212	ENDDO
2213	ENDDO
2214	sums_l(k,51,tn) = s1
2215	ENDDO
2216	!$acc end parallel loop
2217
2218	ENDIF
2219
2220	ENDIF
2221	!
2222	!-- Passive scalar flux
2223	IF ( passive_scalar ) THEN
2224
2225	!$acc parallel loop gang present( ddzu, kh, q, rflags_invers, rmask, sums_l ) create( s1 )
2226	DO k = nzb, nzt_diff
2227	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2228	DO i = nxl, nxr
2229	DO j = nys, nyn
2230	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2231	* ( q(k+1,j,i) - q(k,j,i) ) &
2232	* ddzu(k+1) * rmask(j,i,sr) &
2233	* rflags_invers(j,i,k+1)
2234	ENDDO
2235	ENDDO
2236	sums_l(k,48,tn) = s1
2237	ENDDO
2238	!$acc end parallel loop
2239
2240	ENDIF
2241
2242	IF ( use_surface_fluxes ) THEN
2243
2244	!$OMP DO
2245	!$acc parallel present( rmask, shf, sums_l, usws, vsws ) create( s1, s2, s3, s4, s5 )
2246	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
2247	DO i = nxl, nxr
2248	DO j = nys, nyn
2249	!
2250	!-- Subgridscale fluxes in the Prandtl layer
2251	s1 = s1 + usws(j,i) * rmask(j,i,sr) ! w"u"
2252	s2 = s2 + vsws(j,i) * rmask(j,i,sr) ! w"v"
2253	s3 = s3 + shf(j,i) * rmask(j,i,sr) ! w"pt"
2254	s4 = s4 + 0.0_wp * rmask(j,i,sr) ! u"pt"
2255	s5 = s5 + 0.0_wp * rmask(j,i,sr) ! v"pt"
2256	ENDDO
2257	ENDDO
2258	sums_l(nzb,12,tn) = s1
2259	sums_l(nzb,14,tn) = s2
2260	sums_l(nzb,16,tn) = s3
2261	sums_l(nzb,58,tn) = s4
2262	sums_l(nzb,61,tn) = s5
2263	!$acc end parallel
2264
2265	IF ( ocean ) THEN
2266
2267	!$OMP DO
2268	!$acc parallel present( rmask, saswsb, sums_l ) create( s1 )
2269	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2270	DO i = nxl, nxr
2271	DO j = nys, nyn
2272	s1 = s1 + saswsb(j,i) * rmask(j,i,sr) ! w"sa"
2273	ENDDO
2274	ENDDO
2275	sums_l(nzb,65,tn) = s1
2276	!$acc end parallel
2277
2278	ENDIF
2279
2280	IF ( humidity ) THEN
2281
2282	!$OMP DO
2283	!$acc parallel present( pt, q, qsws, rmask, shf, sums_l ) create( s1, s2 )
2284	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2285	DO i = nxl, nxr
2286	DO j = nys, nyn
2287	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2288	s2 = s2 + ( ( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * shf(j,i) &
2289	+ 0.61_wp * pt(nzb,j,i) * qsws(j,i) )
2290	ENDDO
2291	ENDDO
2292	sums_l(nzb,48,tn) = s1
2293	sums_l(nzb,45,tn) = s2
2294	!$acc end parallel
2295
2296	IF ( cloud_droplets ) THEN
2297
2298	!$OMP DO
2299	!$acc parallel present( pt, q, ql, qsws, rmask, shf, sums_l ) create( s1 )
2300	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2301	DO i = nxl, nxr
2302	DO j = nys, nyn
2303	s1 = s1 + ( ( 1.0_wp + &
2304	0.61_wp * q(nzb,j,i) - ql(nzb,j,i) ) * &
2305	shf(j,i) + 0.61_wp * pt(nzb,j,i) * qsws(j,i) )
2306	ENDDO
2307	ENDDO
2308	sums_l(nzb,45,tn) = s1
2309	!$acc end parallel
2310
2311	ENDIF
2312
2313	IF ( cloud_physics ) THEN
2314
2315	!$OMP DO
2316	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
2317	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2318	DO i = nxl, nxr
2319	DO j = nys, nyn
2320	!
2321	!-- Formula does not work if ql(nzb) /= 0.0
2322	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2323	ENDDO
2324	ENDDO
2325	sums_l(nzb,51,tn) = s1
2326	!$acc end parallel
2327
2328	ENDIF
2329
2330	ENDIF
2331
2332	IF ( passive_scalar ) THEN
2333
2334	!$OMP DO
2335	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
2336	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2337	DO i = nxl, nxr
2338	DO j = nys, nyn
2339	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2340	ENDDO
2341	ENDDO
2342	sums_l(nzb,48,tn) = s1
2343	!$acc end parallel
2344
2345	ENDIF
2346
2347	ENDIF
2348
2349	!
2350	!-- Subgridscale fluxes at the top surface
2351	IF ( use_top_fluxes ) THEN
2352
2353	!$OMP DO
2354	!$acc parallel present( rmask, sums_l, tswst, uswst, vswst ) create( s1, s2, s3, s4, s5 )
2355	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
2356	DO i = nxl, nxr
2357	DO j = nys, nyn
2358	s1 = s1 + uswst(j,i) * rmask(j,i,sr) ! w"u"
2359	s2 = s2 + vswst(j,i) * rmask(j,i,sr) ! w"v"
2360	s3 = s3 + tswst(j,i) * rmask(j,i,sr) ! w"pt"
2361	s4 = s4 + 0.0_wp * rmask(j,i,sr) ! u"pt"
2362	s5 = s5 + 0.0_wp * rmask(j,i,sr) ! v"pt"
2363	ENDDO
2364	ENDDO
2365	sums_l(nzt:nzt+1,12,tn) = s1
2366	sums_l(nzt:nzt+1,14,tn) = s2
2367	sums_l(nzt:nzt+1,16,tn) = s3
2368	sums_l(nzt:nzt+1,58,tn) = s4
2369	sums_l(nzt:nzt+1,61,tn) = s5
2370	!$acc end parallel
2371
2372	IF ( ocean ) THEN
2373
2374	!$OMP DO
2375	!$acc parallel present( rmask, saswst, sums_l ) create( s1 )
2376	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2377	DO i = nxl, nxr
2378	DO j = nys, nyn
2379	s1 = s1 + saswst(j,i) * rmask(j,i,sr) ! w"sa"
2380	ENDDO
2381	ENDDO
2382	sums_l(nzt,65,tn) = s1
2383	!$acc end parallel
2384
2385	ENDIF
2386
2387	IF ( humidity ) THEN
2388
2389	!$OMP DO
2390	!$acc parallel present( pt, q, qswst, rmask, tswst, sums_l ) create( s1, s2 )
2391	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2392	DO i = nxl, nxr
2393	DO j = nys, nyn
2394	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2395	s2 = s2 + ( ( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * tswst(j,i) +&
2396	0.61_wp * pt(nzt,j,i) * qswst(j,i) )
2397	ENDDO
2398	ENDDO
2399	sums_l(nzt,48,tn) = s1
2400	sums_l(nzt,45,tn) = s2
2401	!$acc end parallel
2402
2403	IF ( cloud_droplets ) THEN
2404
2405	!$OMP DO
2406	!$acc parallel present( pt, q, ql, qswst, rmask, tswst, sums_l ) create( s1 )
2407	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2408	DO i = nxl, nxr
2409	DO j = nys, nyn
2410	s1 = s1 + ( ( 1.0_wp + &
2411	0.61_wp * q(nzt,j,i) - ql(nzt,j,i) ) * &
2412	tswst(j,i) + &
2413	0.61_wp * pt(nzt,j,i) * qswst(j,i) )
2414	ENDDO
2415	ENDDO
2416	sums_l(nzt,45,tn) = s1
2417	!$acc end parallel
2418
2419	ENDIF
2420
2421	IF ( cloud_physics ) THEN
2422
2423	!$OMP DO
2424	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
2425	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2426	DO i = nxl, nxr
2427	DO j = nys, nyn
2428	!
2429	!-- Formula does not work if ql(nzb) /= 0.0
2430	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2431	ENDDO
2432	ENDDO
2433	sums_l(nzt,51,tn) = s1
2434	!$acc end parallel
2435
2436	ENDIF
2437
2438	ENDIF
2439
2440	IF ( passive_scalar ) THEN
2441
2442	!$OMP DO
2443	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
2444	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2445	DO i = nxl, nxr
2446	DO j = nys, nyn
2447	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2448	ENDDO
2449	ENDDO
2450	sums_l(nzt,48,tn) = s1
2451	!$acc end parallel
2452
2453	ENDIF
2454
2455	ENDIF
2456
2457	!
2458	!-- Resolved fluxes (can be computed for all horizontal points)
2459	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
2460	!-- ---- speaking the following k-loop would have to be split up and
2461	!-- rearranged according to the staggered grid.
2462	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2, s3 )
2463	DO k = nzb, nzt_diff
2464	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2465	DO i = nxl, nxr
2466	DO j = nys, nyn
2467	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
2468	u(k+1,j,i) - hom(k+1,1,1,sr) )
2469	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
2470	v(k+1,j,i) - hom(k+1,1,2,sr) )
2471	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
2472	pt(k+1,j,i) - hom(k+1,1,4,sr) )
2473	!
2474	!-- Higher moments
2475	s1 = s1 + pts * w(k,j,i)*2 rmask(j,i,sr) * rflags_invers(j,i,k+1)
2476	s2 = s2 + pts*2 w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2477	!
2478	!-- Energy flux we (has to be adjusted?)
2479	s3 = s3 + w(k,j,i) * 0.5_wp * ( ust2 + vst2 + w(k,j,i)**2 )&
2480	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2481	ENDDO
2482	ENDDO
2483	sums_l(k,35,tn) = s1
2484	sums_l(k,36,tn) = s2
2485	sums_l(k,37,tn) = s3
2486	ENDDO
2487	!$acc end parallel loop
2488
2489	!
2490	!-- Salinity flux and density (density does not belong to here,
2491	!-- but so far there is no other suitable place to calculate)
2492	IF ( ocean ) THEN
2493
2494	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2495
2496	!$acc parallel loop gang present( hom, rflags_invers, rmask, sa, sums_l, w ) create( s1 )
2497	DO k = nzb, nzt_diff
2498	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2499	DO i = nxl, nxr
2500	DO j = nys, nyn
2501	s1 = s1 + 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
2502	sa(k+1,j,i) - hom(k+1,1,23,sr) ) &
2503	* w(k,j,i) * rmask(j,i,sr) &
2504	* rflags_invers(j,i,k+1)
2505	ENDDO
2506	ENDDO
2507	sums_l(k,66,tn) = s1
2508	ENDDO
2509	!$acc end parallel loop
2510
2511	ENDIF
2512
2513	!$acc parallel loop gang present( rflags_invers, rho, prho, rmask, sums_l ) create( s1, s2 )
2514	DO k = nzb, nzt_diff
2515	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2516	DO i = nxl, nxr
2517	DO j = nys, nyn
2518	s1 = s1 + rho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2519	s2 = s2 + prho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2520	ENDDO
2521	ENDDO
2522	sums_l(k,64,tn) = s1
2523	sums_l(k,71,tn) = s2
2524	ENDDO
2525	!$acc end parallel loop
2526
2527	ENDIF
2528
2529	!
2530	!-- Buoyancy flux, water flux, humidity flux, liquid water
2531	!-- content, rain drop concentration and rain water content
2532	IF ( humidity ) THEN
2533
2534	IF ( cloud_physics .OR. cloud_droplets ) THEN
2535
2536	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
2537	DO k = nzb, nzt_diff
2538	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2539	DO i = nxl, nxr
2540	DO j = nys, nyn
2541	s1 = s1 + 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
2542	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) * &
2543	w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2544	ENDDO
2545	ENDDO
2546	sums_l(k,46,tn) = s1
2547	ENDDO
2548	!$acc end parallel loop
2549
2550	IF ( .NOT. cloud_droplets ) THEN
2551
2552	!$acc parallel loop gang present( hom, q, ql, rflags_invers, rmask, sums_l, w ) create( s1 )
2553	DO k = nzb, nzt_diff
2554	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2555	DO i = nxl, nxr
2556	DO j = nys, nyn
2557	s1 = s1 + 0.5_wp * ( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) + &
2558	( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) ) &
2559	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2560	ENDDO
2561	ENDDO
2562	sums_l(k,52,tn) = s1
2563	ENDDO
2564	!$acc end parallel loop
2565
2566	IF ( icloud_scheme == 0 ) THEN
2567
2568	!$acc parallel loop gang present( qc, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
2569	DO k = nzb, nzt_diff
2570	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2571	DO i = nxl, nxr
2572	DO j = nys, nyn
2573	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2574	s2 = s2 + qc(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2575	ENDDO
2576	ENDDO
2577	sums_l(k,54,tn) = s1
2578	sums_l(k,75,tn) = s2
2579	ENDDO
2580	!$acc end parallel loop
2581
2582	IF ( precipitation ) THEN
2583
2584	!$acc parallel loop gang present( nr, qr, prr, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
2585	DO k = nzb, nzt_diff
2586	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2587	DO i = nxl, nxr
2588	DO j = nys, nyn
2589	s1 = s1 + nr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2590	s2 = s2 + qr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2591	s3 = s3 + prr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2592	ENDDO
2593	ENDDO
2594	sums_l(k,73,tn) = s1
2595	sums_l(k,74,tn) = s2
2596	sums_l(k,76,tn) = s3
2597	ENDDO
2598	!$acc end parallel loop
2599
2600	ENDIF
2601
2602	ELSE
2603
2604	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
2605	DO k = nzb, nzt_diff
2606	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2607	DO i = nxl, nxr
2608	DO j = nys, nyn
2609	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2610	ENDDO
2611	ENDDO
2612	sums_l(k,54,tn) = s1
2613	ENDDO
2614	!$acc end parallel loop
2615
2616	ENDIF
2617
2618	ELSE
2619
2620	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
2621	DO k = nzb, nzt_diff
2622	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2623	DO i = nxl, nxr
2624	DO j = nys, nyn
2625	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2626	ENDDO
2627	ENDDO
2628	sums_l(k,54,tn) = s1
2629	ENDDO
2630	!$acc end parallel loop
2631
2632	ENDIF
2633
2634	ELSE
2635
2636	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2637
2638	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
2639	DO k = nzb, nzt_diff
2640	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2641	DO i = nxl, nxr
2642	DO j = nys, nyn
2643	s1 = s1 + 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
2644	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) &
2645	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2646	ENDDO
2647	ENDDO
2648	sums_l(k,46,tn) = s1
2649	ENDDO
2650	!$acc end parallel loop
2651
2652	ELSEIF ( ws_scheme_sca .AND. sr == 0 ) THEN
2653
2654	!$acc parallel loop present( hom, sums_l )
2655	DO k = nzb, nzt_diff
2656	sums_l(k,46,tn) = ( 1.0_wp + 0.61_wp * hom(k,1,41,sr) ) * sums_l(k,17,tn) + &
2657	0.61_wp * hom(k,1,4,sr) * sums_l(k,49,tn)
2658	ENDDO
2659	!$acc end parallel loop
2660
2661	ENDIF
2662
2663	ENDIF
2664
2665	ENDIF
2666	!
2667	!-- Passive scalar flux
2668	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca .OR. sr /= 0 ) ) THEN
2669
2670	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
2671	DO k = nzb, nzt_diff
2672	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2673	DO i = nxl, nxr
2674	DO j = nys, nyn
2675	s1 = s1 + 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
2676	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
2677	* w(k,j,i) * rmask(j,i,sr) &
2678	* rflags_invers(j,i,k+1)
2679	ENDDO
2680	ENDDO
2681	sums_l(k,49,tn) = s1
2682	ENDDO
2683	!$acc end parallel loop
2684
2685	ENDIF
2686
2687	!
2688	!-- For speed optimization fluxes which have been computed in part directly
2689	!-- inside the WS advection routines are treated seperatly
2690	!-- Momentum fluxes first:
2691	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
2692
2693	!$OMP DO
2694	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2 )
2695	DO k = nzb, nzt_diff
2696	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2697	DO i = nxl, nxr
2698	DO j = nys, nyn
2699	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
2700	u(k+1,j,i) - hom(k+1,1,1,sr) )
2701	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
2702	v(k+1,j,i) - hom(k+1,1,2,sr) )
2703	!
2704	!-- Momentum flux wu
2705	s1 = s1 + 0.5_wp * ( w(k,j,i-1) + w(k,j,i) ) &
2706	* ust * rmask(j,i,sr) &
2707	* rflags_invers(j,i,k+1)
2708	!
2709	!-- Momentum flux wv
2710	s2 = s2 + 0.5_wp * ( w(k,j-1,i) + w(k,j,i) ) &
2711	* vst * rmask(j,i,sr) &
2712	* rflags_invers(j,i,k+1)
2713	ENDDO
2714	ENDDO
2715	sums_l(k,13,tn) = s1
2716	sums_l(k,15,tn) = s1
2717	ENDDO
2718	!$acc end parallel loop
2719
2720	ENDIF
2721
2722	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2723
2724	!$OMP DO
2725	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, w ) create( s1 )
2726	DO k = nzb, nzt_diff
2727	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2728	DO i = nxl, nxr
2729	DO j = nys, nyn
2730	!
2731	!-- Vertical heat flux
2732	s1 = s1 + 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
2733	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
2734	* w(k,j,i) * rmask(j,i,sr) &
2735	* rflags_invers(j,i,k+1)
2736	ENDDO
2737	ENDDO
2738	sums_l(k,17,tn) = s1
2739	ENDDO
2740	!$acc end parallel loop
2741
2742	IF ( humidity ) THEN
2743
2744	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
2745	DO k = nzb, nzt_diff
2746	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2747	DO i = nxl, nxr
2748	DO j = nys, nyn
2749	s1 = s1 + 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
2750	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
2751	* w(k,j,i) * rmask(j,i,sr) &
2752	* rflags_invers(j,i,k+1)
2753	ENDDO
2754	ENDDO
2755	sums_l(k,49,tn) = s1
2756	ENDDO
2757	!$acc end parallel loop
2758
2759	ENDIF
2760
2761	ENDIF
2762
2763
2764	!
2765	!-- Density at top follows Neumann condition
2766	IF ( ocean ) THEN
2767	!$acc parallel present( sums_l )
2768	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
2769	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
2770	!$acc end parallel
2771	ENDIF
2772
2773	!
2774	!-- Divergence of vertical flux of resolved scale energy and pressure
2775	!-- fluctuations as well as flux of pressure fluctuation itself (68).
2776	!-- First calculate the products, then the divergence.
2777	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
2778	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) THEN
2779
2780	STOP '+++ openACC porting for vertical flux div of resolved scale TKE in flow_statistics is still missing'
2781	sums_ll = 0.0_wp ! local array
2782
2783	!$OMP DO
2784	DO i = nxl, nxr
2785	DO j = nys, nyn
2786	DO k = nzb_s_inner(j,i)+1, nzt
2787
2788	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
2789	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
2790	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
2791	) )**2 &
2792	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
2793	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
2794	) )**2 &
2795	+ w(k,j,i)**2 )
2796
2797	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
2798	* ( p(k,j,i) + p(k+1,j,i) )
2799
2800	ENDDO
2801	ENDDO
2802	ENDDO
2803	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
2804	sums_ll(nzt+1,1) = 0.0_wp
2805	sums_ll(0,2) = 0.0_wp
2806	sums_ll(nzt+1,2) = 0.0_wp
2807
2808	DO k = nzb+1, nzt
2809	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
2810	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
2811	sums_l(k,68,tn) = sums_ll(k,2)
2812	ENDDO
2813	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
2814	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
2815	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
2816
2817	ENDIF
2818
2819	!
2820	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
2821	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) THEN
2822
2823	STOP '+++ openACC porting for vertical flux div of SGS TKE in flow_statistics is still missing'
2824	!$OMP DO
2825	DO i = nxl, nxr
2826	DO j = nys, nyn
2827	DO k = nzb_s_inner(j,i)+1, nzt
2828
2829	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
2830	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
2831	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
2832	) * ddzw(k)
2833
2834	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
2835	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
2836	)
2837
2838	ENDDO
2839	ENDDO
2840	ENDDO
2841	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
2842	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
2843
2844	ENDIF
2845
2846	!
2847	!-- Horizontal heat fluxes (subgrid, resolved, total).
2848	!-- Do it only, if profiles shall be plotted.
2849	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
2850
2851	STOP '+++ openACC porting for horizontal flux calculation in flow_statistics is still missing'
2852	!$OMP DO
2853	DO i = nxl, nxr
2854	DO j = nys, nyn
2855	DO k = nzb_s_inner(j,i)+1, nzt
2856	!
2857	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
2858	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
2859	( kh(k,j,i) + kh(k,j,i-1) ) &
2860	* ( pt(k,j,i-1) - pt(k,j,i) ) &
2861	* ddx * rmask(j,i,sr)
2862	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
2863	( kh(k,j,i) + kh(k,j-1,i) ) &
2864	* ( pt(k,j-1,i) - pt(k,j,i) ) &
2865	* ddy * rmask(j,i,sr)
2866	!
2867	!-- Resolved horizontal heat fluxes upt, vpt
2868	sums_l(k,59,tn) = sums_l(k,59,tn) + &
2869	( u(k,j,i) - hom(k,1,1,sr) ) * 0.5_wp * &
2870	( pt(k,j,i-1) - hom(k,1,4,sr) + &
2871	pt(k,j,i) - hom(k,1,4,sr) )
2872	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
2873	pt(k,j,i) - hom(k,1,4,sr) )
2874	sums_l(k,62,tn) = sums_l(k,62,tn) + &
2875	( v(k,j,i) - hom(k,1,2,sr) ) * 0.5_wp * &
2876	( pt(k,j-1,i) - hom(k,1,4,sr) + &
2877	pt(k,j,i) - hom(k,1,4,sr) )
2878	ENDDO
2879	ENDDO
2880	ENDDO
2881	!
2882	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
2883	sums_l(nzb,58,tn) = 0.0_wp
2884	sums_l(nzb,59,tn) = 0.0_wp
2885	sums_l(nzb,60,tn) = 0.0_wp
2886	sums_l(nzb,61,tn) = 0.0_wp
2887	sums_l(nzb,62,tn) = 0.0_wp
2888	sums_l(nzb,63,tn) = 0.0_wp
2889
2890	ENDIF
2891
2892	!
2893	!-- Collect current large scale advection and subsidence tendencies for
2894	!-- data output
2895	IF ( large_scale_forcing .AND. ( simulated_time .GT. 0.0_wp ) ) THEN
2896	!
2897	!-- Interpolation in time of LSF_DATA
2898	nt = 1
2899	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
2900	nt = nt + 1
2901	ENDDO
2902	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
2903	nt = nt - 1
2904	ENDIF
2905
2906	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
2907	/ ( time_vert(nt+1)-time_vert(nt) )
2908
2909
2910	DO k = nzb, nzt
2911	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
2912	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
2913	sums_ls_l(k,1) = td_lsa_q(k,nt) &
2914	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
2915	ENDDO
2916
2917	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
2918	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
2919
2920	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
2921
2922	DO k = nzb, nzt
2923	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
2924	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
2925	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
2926	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
2927	ENDDO
2928
2929	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
2930	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
2931
2932	ENDIF
2933
2934	ENDIF
2935
2936
2937	IF ( land_surface ) THEN
2938	!$OMP DO
2939	DO i = nxl, nxr
2940	DO j = nys, nyn
2941	DO k = nzb_soil, nzt_soil
2942	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil(k,j,i) * rmask(j,i,sr)
2943	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil(k,j,i) * rmask(j,i,sr)
2944	ENDDO
2945	ENDDO
2946	ENDDO
2947	ENDIF
2948
2949
2950	!
2951	!-- Calculate the user-defined profiles
2952	CALL user_statistics( 'profiles', sr, tn )
2953	!$OMP END PARALLEL
2954
2955	!
2956	!-- Summation of thread sums
2957	IF ( threads_per_task > 1 ) THEN
2958	STOP '+++ openACC porting for threads_per_task > 1 in flow_statistics is still missing'
2959	DO i = 1, threads_per_task-1
2960	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
2961	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
2962	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
2963	sums_l(:,45:pr_palm,i)
2964	IF ( max_pr_user > 0 ) THEN
2965	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
2966	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
2967	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
2968	ENDIF
2969	ENDDO
2970	ENDIF
2971
2972	!$acc update host( hom, sums, sums_l )
2973
2974	#if defined( __parallel )
2975
2976	!
2977	!-- Compute total sum from local sums
2978	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2979	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
2980	MPI_SUM, comm2d, ierr )
2981	IF ( large_scale_forcing ) THEN
2982	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
2983	MPI_REAL, MPI_SUM, comm2d, ierr )
2984	ENDIF
2985	#else
2986	sums = sums_l(:,:,0)
2987	IF ( large_scale_forcing ) THEN
2988	sums(:,81:88) = sums_ls_l
2989	ENDIF
2990	#endif
2991
2992	!
2993	!-- Final values are obtained by division by the total number of grid points
2994	!-- used for summation. After that store profiles.
2995	!-- Profiles:
2996	DO k = nzb, nzt+1
2997	sums(k,3) = sums(k,3) / ngp_2dh(sr)
2998	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
2999	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
3000	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
3001	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
3002	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
3003	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
3004	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
3005	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
3006	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
3007	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
3008	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
3009	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
3010	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
3011	sums(k,89:100) = sums(k,89:100) / ngp_2dh(sr)
3012	sums(k,101:pr_palm-2) = sums(k,101:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
3013	ENDDO
3014
3015	!-- Upstream-parts
3016	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
3017	!-- u* and so on
3018	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
3019	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
3020	!-- above the topography, they are being divided by ngp_2dh(sr)
3021	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
3022	ngp_2dh(sr)
3023	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
3024	ngp_2dh(sr)
3025	!-- eges, e*
3026	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
3027	ngp_3d(sr)
3028	!-- Old and new divergence
3029	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
3030	ngp_3d_inner(sr)
3031
3032	!-- User-defined profiles
3033	IF ( max_pr_user > 0 ) THEN
3034	DO k = nzb, nzt+1
3035	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
3036	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
3037	ngp_2dh_s_inner(k,sr)
3038	ENDDO
3039	ENDIF
3040
3041	!
3042	!-- Collect horizontal average in hom.
3043	!-- Compute deduced averages (e.g. total heat flux)
3044	hom(:,1,3,sr) = sums(:,3) ! w
3045	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
3046	hom(:,1,9,sr) = sums(:,9) ! km
3047	hom(:,1,10,sr) = sums(:,10) ! kh
3048	hom(:,1,11,sr) = sums(:,11) ! l
3049	hom(:,1,12,sr) = sums(:,12) ! w"u"
3050	hom(:,1,13,sr) = sums(:,13) ! wu
3051	hom(:,1,14,sr) = sums(:,14) ! w"v"
3052	hom(:,1,15,sr) = sums(:,15) ! wv
3053	hom(:,1,16,sr) = sums(:,16) ! w"pt"
3054	hom(:,1,17,sr) = sums(:,17) ! wpt
3055	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
3056	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
3057	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
3058	hom(:,1,21,sr) = sums(:,21) ! wptBC
3059	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
3060	! profile 24 is initial profile (sa)
3061	! profiles 25-29 left empty for initial
3062	! profiles
3063	hom(:,1,30,sr) = sums(:,30) ! u*2
3064	hom(:,1,31,sr) = sums(:,31) ! v*2
3065	hom(:,1,32,sr) = sums(:,32) ! w*2
3066	hom(:,1,33,sr) = sums(:,33) ! pt*2
3067	hom(:,1,34,sr) = sums(:,34) ! e*
3068	hom(:,1,35,sr) = sums(:,35) ! w2pt
3069	hom(:,1,36,sr) = sums(:,36) ! wpt2
3070	hom(:,1,37,sr) = sums(:,37) ! we
3071	hom(:,1,38,sr) = sums(:,38) ! w*3
3072	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
3073	hom(:,1,40,sr) = sums(:,40) ! p
3074	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
3075	hom(:,1,46,sr) = sums(:,46) ! wvpt
3076	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
3077	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
3078	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
3079	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
3080	hom(:,1,51,sr) = sums(:,51) ! w"qv"
3081	hom(:,1,52,sr) = sums(:,52) ! wqv
3082	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
3083	hom(:,1,54,sr) = sums(:,54) ! ql
3084	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
3085	hom(:,1,56,sr) = sums(:,56) ! wp/dz
3086	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
3087	hom(:,1,58,sr) = sums(:,58) ! u"pt"
3088	hom(:,1,59,sr) = sums(:,59) ! upt
3089	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
3090	hom(:,1,61,sr) = sums(:,61) ! v"pt"
3091	hom(:,1,62,sr) = sums(:,62) ! vpt
3092	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
3093	hom(:,1,64,sr) = sums(:,64) ! rho
3094	hom(:,1,65,sr) = sums(:,65) ! w"sa"
3095	hom(:,1,66,sr) = sums(:,66) ! wsa
3096	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
3097	hom(:,1,68,sr) = sums(:,68) ! wp
3098	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
3099	hom(:,1,70,sr) = sums(:,70) ! q*2
3100	hom(:,1,71,sr) = sums(:,71) ! prho
3101	hom(:,1,72,sr) = hyp * 1E-4_wp ! hyp in dbar
3102	hom(:,1,73,sr) = sums(:,73) ! nr
3103	hom(:,1,74,sr) = sums(:,74) ! qr
3104	hom(:,1,75,sr) = sums(:,75) ! qc
3105	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
3106	! 77 is initial density profile
3107	hom(:,1,78,sr) = ug ! ug
3108	hom(:,1,79,sr) = vg ! vg
3109	hom(:,1,80,sr) = w_subs ! w_subs
3110
3111	IF ( large_scale_forcing ) THEN
3112	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
3113	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
3114	IF ( use_subsidence_tendencies ) THEN
3115	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
3116	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
3117	ELSE
3118	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
3119	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
3120	ENDIF
3121	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
3122	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
3123	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
3124	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
3125	END IF
3126
3127	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
3128	! upstream-parts u_x, u_y, u_z, v_x,
3129	! v_y, usw. (in last but one profile)
3130	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
3131	! u, w'u', w'v', t (in last profile)
3132
3133	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
3134	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
3135	sums(:,pr_palm+1:pr_palm+max_pr_user)
3136	ENDIF
3137
3138	!
3139	!-- Determine the boundary layer height using two different schemes.
3140	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
3141	!-- first relative minimum (maximum) of the total heat flux.
3142	!-- The corresponding height is assumed as the boundary layer height, if it
3143	!-- is less than 1.5 times the height where the heat flux becomes negative
3144	!-- (positive) for the first time.
3145	z_i(1) = 0.0_wp
3146	first = .TRUE.
3147
3148	IF ( ocean ) THEN
3149	DO k = nzt, nzb+1, -1
3150	IF ( first .AND. hom(k,1,18,sr) < 0.0_wp &
3151	.AND. abs(hom(k,1,18,sr)) > 1.0E-8_wp ) THEN
3152	first = .FALSE.
3153	height = zw(k)
3154	ENDIF
3155	IF ( hom(k,1,18,sr) < 0.0_wp .AND. &
3156	abs(hom(k,1,18,sr)) > 1.0E-8_wp .AND. &
3157	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
3158	IF ( zw(k) < 1.5_wp * height ) THEN
3159	z_i(1) = zw(k)
3160	ELSE
3161	z_i(1) = height
3162	ENDIF
3163	EXIT
3164	ENDIF
3165	ENDDO
3166	ELSE
3167	DO k = nzb, nzt-1
3168	IF ( first .AND. hom(k,1,18,sr) < 0.0_wp &
3169	.AND. abs(hom(k,1,18,sr)) > 1.0E-8_wp ) THEN
3170	first = .FALSE.
3171	height = zw(k)
3172	ENDIF
3173	IF ( hom(k,1,18,sr) < 0.0 .AND. &
3174	abs(hom(k,1,18,sr)) > 1.0E-8_wp .AND. &
3175	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
3176	IF ( zw(k) < 1.5_wp * height ) THEN
3177	z_i(1) = zw(k)
3178	ELSE
3179	z_i(1) = height
3180	ENDIF
3181	EXIT
3182	ENDIF
3183	ENDDO
3184	ENDIF
3185
3186	!
3187	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
3188	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
3189	!-- maximal local temperature gradient: starting from the second (the last
3190	!-- but one) vertical gridpoint, the local gradient must be at least
3191	!-- 0.2K/100m and greater than the next four gradients.
3192	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
3193	!-- ocean case!
3194	z_i(2) = 0.0_wp
3195	DO k = nzb+1, nzt+1
3196	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
3197	ENDDO
3198	dptdz_threshold = 0.2_wp / 100.0_wp
3199
3200	IF ( ocean ) THEN
3201	DO k = nzt+1, nzb+5, -1
3202	IF ( dptdz(k) > dptdz_threshold .AND. &
3203	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
3204	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
3205	z_i(2) = zw(k-1)
3206	EXIT
3207	ENDIF
3208	ENDDO
3209	ELSE
3210	DO k = nzb+1, nzt-3
3211	IF ( dptdz(k) > dptdz_threshold .AND. &
3212	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
3213	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
3214	z_i(2) = zw(k-1)
3215	EXIT
3216	ENDIF
3217	ENDDO
3218	ENDIF
3219
3220	hom(nzb+6,1,pr_palm,sr) = z_i(1)
3221	hom(nzb+7,1,pr_palm,sr) = z_i(2)
3222
3223	!
3224	!-- Computation of both the characteristic vertical velocity and
3225	!-- the characteristic convective boundary layer temperature.
3226	!-- The horizontal average at nzb+1 is input for the average temperature.
3227	IF ( hom(nzb,1,18,sr) > 0.0_wp .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8_wp &
3228	.AND. z_i(1) /= 0.0_wp ) THEN
3229	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
3230	hom(nzb,1,18,sr) * &
3231	ABS( z_i(1) ) )**0.333333333_wp
3232	!-- so far this only works if Prandtl layer is used
3233	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
3234	ELSE
3235	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
3236	hom(nzb+11,1,pr_palm,sr) = 0.0_wp
3237	ENDIF
3238
3239	!
3240	!-- Collect the time series quantities
3241	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
3242	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
3243	ts_value(3,sr) = dt_3d
3244	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
3245	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
3246	ts_value(6,sr) = u_max
3247	ts_value(7,sr) = v_max
3248	ts_value(8,sr) = w_max
3249	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
3250	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
3251	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
3252	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
3253	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
3254	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
3255	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
3256	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
3257	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
3258	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
3259	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
3260	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
3261	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
3262
3263	IF ( ts_value(5,sr) /= 0.0_wp ) THEN
3264	ts_value(22,sr) = ts_value(4,sr)**2_wp / &
3265	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
3266	ELSE
3267	ts_value(22,sr) = 10000.0_wp
3268	ENDIF
3269
3270	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
3271
3272	!
3273	!-- Collect land surface model timeseries
3274	IF ( land_surface ) THEN
3275	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf_eb
3276	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! shf_eb
3277	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_eb
3278	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_liq_eb
3279	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! qsws_soil_eb
3280	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! qsws_veg_eb
3281	ts_value(dots_soil+6,sr) = hom(nzb,1,99,sr) ! r_a
3282	ts_value(dots_soil+7,sr) = hom(nzb,1,100,sr) ! r_s
3283	ENDIF
3284	!
3285	!-- Collect radiation model timeseries
3286	IF ( radiation ) THEN
3287	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
3288	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_sw_in
3289	ENDIF
3290
3291	!
3292	!-- Calculate additional statistics provided by the user interface
3293	CALL user_statistics( 'time_series', sr, 0 )
3294
3295	ENDDO ! loop of the subregions
3296
3297	!$acc end data
3298
3299	!
3300	!-- If required, sum up horizontal averages for subsequent time averaging
3301	IF ( do_sum ) THEN
3302	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
3303	hom_sum = hom_sum + hom(:,1,:,:)
3304	average_count_pr = average_count_pr + 1
3305	do_sum = .FALSE.
3306	ENDIF
3307
3308	!
3309	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
3310	!-- This flag is reset after each time step in time_integration.
3311	flow_statistics_called = .TRUE.
3312
3313	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
3314
3315
3316	END SUBROUTINE flow_statistics
3317	#endif

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