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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1650

Last change on this file since 1650 was 1594, checked in by raasch, 10 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 1594 2015-05-16 13:59:40Z knoop $
28	!
29	! 1593 2015-05-16 13:58:02Z raasch
30	! FORTRAN errors removed from openacc branch
31	!
32	! 1585 2015-04-30 07:05:52Z maronga
33	! Added output of timeseries and profiles for RRTMG
34	!
35	! 1571 2015-03-12 16:12:49Z maronga
36	! Bugfix: output of rad_net and rad_sw_in
37	!
38	! 1567 2015-03-10 17:57:55Z suehring
39	! Reverse modifications made for monotonic limiter.
40	!
41	! 1557 2015-03-05 16:43:04Z suehring
42	! Adjustments for monotonic limiter
43	!
44	! 1555 2015-03-04 17:44:27Z maronga
45	! Added output of r_a and r_s.
46	!
47	! 1551 2015-03-03 14:18:16Z maronga
48	! Added suppport for land surface model and radiation model output.
49	!
50	! 1498 2014-12-03 14:09:51Z suehring
51	! Comments added
52	!
53	! 1482 2014-10-18 12:34:45Z raasch
54	! missing ngp_sums_ls added in accelerator version
55	!
56	! 1450 2014-08-21 07:31:51Z heinze
57	! bugfix: calculate fac only for simulated_time >= 0.0
58	!
59	! 1396 2014-05-06 13:37:41Z raasch
60	! bugfix: "copyin" replaced by "update device" in openacc-branch
61	!
62	! 1386 2014-05-05 13:55:30Z boeske
63	! bugfix: simulated time before the last timestep is needed for the correct
64	! calculation of the profiles of large scale forcing tendencies
65	!
66	! 1382 2014-04-30 12:15:41Z boeske
67	! Renamed variables which store large scale forcing tendencies
68	! pt_lsa -> td_lsa_lpt, pt_subs -> td_sub_lpt,
69	! q_lsa -> td_lsa_q, q_subs -> td_sub_q,
70	! added Neumann boundary conditions for profile data output of large scale
71	! advection and subsidence terms at nzt+1
72	!
73	! 1374 2014-04-25 12:55:07Z raasch
74	! bugfix: syntax errors removed from openacc-branch
75	! missing variables added to ONLY-lists
76	!
77	! 1365 2014-04-22 15:03:56Z boeske
78	! Output of large scale advection, large scale subsidence and nudging tendencies
79	! +sums_ls_l, ngp_sums_ls, use_subsidence_tendencies
80	!
81	! 1353 2014-04-08 15:21:23Z heinze
82	! REAL constants provided with KIND-attribute
83	!
84	! 1322 2014-03-20 16:38:49Z raasch
85	! REAL constants defined as wp-kind
86	!
87	! 1320 2014-03-20 08:40:49Z raasch
88	! ONLY-attribute added to USE-statements,
89	! kind-parameters added to all INTEGER and REAL declaration statements,
90	! kinds are defined in new module kinds,
91	! revision history before 2012 removed,
92	! comment fields (!:) to be used for variable explanations added to
93	! all variable declaration statements
94	!
95	! 1299 2014-03-06 13:15:21Z heinze
96	! Output of large scale vertical velocity w_subs
97	!
98	! 1257 2013-11-08 15:18:40Z raasch
99	! openacc "end parallel" replaced by "end parallel loop"
100	!
101	! 1241 2013-10-30 11:36:58Z heinze
102	! Output of ug and vg
103	!
104	! 1221 2013-09-10 08:59:13Z raasch
105	! ported for openACC in separate #else branch
106	!
107	! 1179 2013-06-14 05:57:58Z raasch
108	! comment for profile 77 added
109	!
110	! 1115 2013-03-26 18:16:16Z hoffmann
111	! ql is calculated by calc_liquid_water_content
112	!
113	! 1111 2013-03-08 23:54:10Z raasch
114	! openACC directive added
115	!
116	! 1053 2012-11-13 17:11:03Z hoffmann
117	! additions for two-moment cloud physics scheme:
118	! +nr, qr, qc, prr
119	!
120	! 1036 2012-10-22 13:43:42Z raasch
121	! code put under GPL (PALM 3.9)
122	!
123	! 1007 2012-09-19 14:30:36Z franke
124	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
125	! turbulent fluxes of WS-scheme
126	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
127	! droplets at nzb and nzt added
128	!
129	! 801 2012-01-10 17:30:36Z suehring
130	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
131	!
132	! Revision 1.1 1997/08/11 06:15:17 raasch
133	! Initial revision
134	!
135	!
136	! Description:
137	! ------------
138	! Compute average profiles and further average flow quantities for the different
139	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
140	!
141	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
142	! ---- lower vertical index for k-loops for all variables, although strictly
143	! speaking the k-loops would have to be split up according to the staggered
144	! grid. However, this implies no error since staggered velocity components are
145	! zero at the walls and inside buildings.
146	!------------------------------------------------------------------------------!
147
148	USE arrays_3d, &
149	ONLY: ddzu, ddzw, e, hyp, km, kh, nr, p, prho, pt, q, qc, ql, qr, qs, &
150	qsws, qswst, rho, sa, saswsb, saswst, shf, td_lsa_lpt, td_lsa_q,&
151	td_sub_lpt, td_sub_q, time_vert, ts, tswst, u, ug, us, usws, &
152	uswst, vsws, v, vg, vpt, vswst, w, w_subs, zw
153
154	USE cloud_parameters, &
155	ONLY: l_d_cp, prr, pt_d_t
156
157	USE control_parameters, &
158	ONLY: average_count_pr, cloud_droplets, cloud_physics, do_sum, &
159	dt_3d, g, humidity, icloud_scheme, kappa, large_scale_forcing, &
160	large_scale_subsidence, max_pr_user, message_string, ocean, &
161	passive_scalar, precipitation, simulated_time, &
162	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
163	ws_scheme_mom, ws_scheme_sca
164
165	USE cpulog, &
166	ONLY: cpu_log, log_point
167
168	USE grid_variables, &
169	ONLY: ddx, ddy
170
171	USE indices, &
172	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
173	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzb_diff_s_inner, &
174	nzb_s_inner, nzt, nzt_diff
175
176	USE kinds
177
178	USE land_surface_model_mod, &
179	ONLY: dots_soil, ghf_eb, land_surface, m_soil, nzb_soil, nzt_soil, &
180	qsws_eb, qsws_liq_eb, qsws_soil_eb, qsws_veg_eb, r_a, r_s, &
181	shf_eb, t_soil
182
183	USE pegrid
184
185	USE radiation_model_mod, &
186	ONLY: dots_rad, radiation, radiation_scheme, rad_net, &
187	rad_lw_in, rad_lw_out, rad_sw_in, rad_sw_out
188
189	#if defined ( __rrtmg )
190	USE radiation_model_mod, &
191	ONLY: rrtm_aldif, rrtm_aldir, rrtm_asdif, rrtm_asdir
192	#endif
193
194	USE statistics
195
196	IMPLICIT NONE
197
198	INTEGER(iwp) :: i !:
199	INTEGER(iwp) :: j !:
200	INTEGER(iwp) :: k !:
201	INTEGER(iwp) :: nt !:
202	INTEGER(iwp) :: omp_get_thread_num !:
203	INTEGER(iwp) :: sr !:
204	INTEGER(iwp) :: tn !:
205
206	LOGICAL :: first !:
207
208	REAL(wp) :: dptdz_threshold !:
209	REAL(wp) :: fac !:
210	REAL(wp) :: height !:
211	REAL(wp) :: pts !:
212	REAL(wp) :: sums_l_eper !:
213	REAL(wp) :: sums_l_etot !:
214	REAL(wp) :: ust !:
215	REAL(wp) :: ust2 !:
216	REAL(wp) :: u2 !:
217	REAL(wp) :: vst !:
218	REAL(wp) :: vst2 !:
219	REAL(wp) :: v2 !:
220	REAL(wp) :: w2 !:
221	REAL(wp) :: z_i(2) !:
222
223	REAL(wp) :: dptdz(nzb+1:nzt+1) !:
224	REAL(wp) :: sums_ll(nzb:nzt+1,2) !:
225
226	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
227
228	!$acc update host( km, kh, e, pt, qs, qsws, rif, shf, ts, u, usws, v, vsws, w )
229
230	!
231	!-- To be on the safe side, check whether flow_statistics has already been
232	!-- called once after the current time step
233	IF ( flow_statistics_called ) THEN
234
235	message_string = 'flow_statistics is called two times within one ' // &
236	'timestep'
237	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
238
239	ENDIF
240
241	!
242	!-- Compute statistics for each (sub-)region
243	DO sr = 0, statistic_regions
244
245	!
246	!-- Initialize (local) summation array
247	sums_l = 0.0_wp
248
249	!
250	!-- Store sums that have been computed in other subroutines in summation
251	!-- array
252	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
253	!-- WARNING: next line still has to be adjusted for OpenMP
254	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
255	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
256	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
257
258	!
259	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
260	!-- scale) vertical fluxes and velocity variances by using commonly-
261	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
262	!-- in combination with the 5th order advection scheme, pronounced
263	!-- artificial kinks could be observed in the vertical profiles near the
264	!-- surface. Please note: these kinks were not related to the model truth,
265	!-- i.e. these kinks are just related to an evaluation problem.
266	!-- In order avoid these kinks, vertical fluxes and horizontal as well
267	!-- vertical velocity variances are calculated directly within the advection
268	!-- routines, according to the numerical discretization, to evaluate the
269	!-- statistical quantities as they will appear within the prognostic
270	!-- equations.
271	!-- Copy the turbulent quantities, evaluated in the advection routines to
272	!-- the local array sums_l() for further computations.
273	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
274
275	!
276	!-- According to the Neumann bc for the horizontal velocity components,
277	!-- the corresponding fluxes has to satisfiy the same bc.
278	IF ( ocean ) THEN
279	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
280	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
281	ENDIF
282
283	DO i = 0, threads_per_task-1
284	!
285	!-- Swap the turbulent quantities evaluated in advec_ws.
286	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
287	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
288	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
289	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
290	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
291	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
292	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
293	sums_ws2_ws_l(:,i) ) ! e*
294	DO k = nzb, nzt
295	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5_wp * ( &
296	sums_us2_ws_l(k,i) + &
297	sums_vs2_ws_l(k,i) + &
298	sums_ws2_ws_l(k,i) )
299	ENDDO
300	ENDDO
301
302	ENDIF
303
304	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
305
306	DO i = 0, threads_per_task-1
307	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
308	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
309	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
310	sums_wsqs_ws_l(:,i) !wq
311	ENDDO
312
313	ENDIF
314	!
315	!-- Horizontally averaged profiles of horizontal velocities and temperature.
316	!-- They must have been computed before, because they are already required
317	!-- for other horizontal averages.
318	tn = 0
319
320	!$OMP PARALLEL PRIVATE( i, j, k, tn )
321	#if defined( __intel_openmp_bug )
322	tn = omp_get_thread_num()
323	#else
324	!$ tn = omp_get_thread_num()
325	#endif
326
327	!$OMP DO
328	DO i = nxl, nxr
329	DO j = nys, nyn
330	DO k = nzb_s_inner(j,i), nzt+1
331	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
332	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
333	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
334	ENDDO
335	ENDDO
336	ENDDO
337
338	!
339	!-- Horizontally averaged profile of salinity
340	IF ( ocean ) THEN
341	!$OMP DO
342	DO i = nxl, nxr
343	DO j = nys, nyn
344	DO k = nzb_s_inner(j,i), nzt+1
345	sums_l(k,23,tn) = sums_l(k,23,tn) + &
346	sa(k,j,i) * rmask(j,i,sr)
347	ENDDO
348	ENDDO
349	ENDDO
350	ENDIF
351
352	!
353	!-- Horizontally averaged profiles of virtual potential temperature,
354	!-- total water content, specific humidity and liquid water potential
355	!-- temperature
356	IF ( humidity ) THEN
357	!$OMP DO
358	DO i = nxl, nxr
359	DO j = nys, nyn
360	DO k = nzb_s_inner(j,i), nzt+1
361	sums_l(k,44,tn) = sums_l(k,44,tn) + &
362	vpt(k,j,i) * rmask(j,i,sr)
363	sums_l(k,41,tn) = sums_l(k,41,tn) + &
364	q(k,j,i) * rmask(j,i,sr)
365	ENDDO
366	ENDDO
367	ENDDO
368	IF ( cloud_physics ) THEN
369	!$OMP DO
370	DO i = nxl, nxr
371	DO j = nys, nyn
372	DO k = nzb_s_inner(j,i), nzt+1
373	sums_l(k,42,tn) = sums_l(k,42,tn) + &
374	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
375	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
376	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
377	) * rmask(j,i,sr)
378	ENDDO
379	ENDDO
380	ENDDO
381	ENDIF
382	ENDIF
383
384	!
385	!-- Horizontally averaged profiles of passive scalar
386	IF ( passive_scalar ) THEN
387	!$OMP DO
388	DO i = nxl, nxr
389	DO j = nys, nyn
390	DO k = nzb_s_inner(j,i), nzt+1
391	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
392	ENDDO
393	ENDDO
394	ENDDO
395	ENDIF
396	!$OMP END PARALLEL
397	!
398	!-- Summation of thread sums
399	IF ( threads_per_task > 1 ) THEN
400	DO i = 1, threads_per_task-1
401	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
402	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
403	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
404	IF ( ocean ) THEN
405	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
406	ENDIF
407	IF ( humidity ) THEN
408	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
409	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
410	IF ( cloud_physics ) THEN
411	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
412	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
413	ENDIF
414	ENDIF
415	IF ( passive_scalar ) THEN
416	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
417	ENDIF
418	ENDDO
419	ENDIF
420
421	#if defined( __parallel )
422	!
423	!-- Compute total sum from local sums
424	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
425	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
426	MPI_SUM, comm2d, ierr )
427	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
428	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
429	MPI_SUM, comm2d, ierr )
430	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
431	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
432	MPI_SUM, comm2d, ierr )
433	IF ( ocean ) THEN
434	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
435	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
436	MPI_REAL, MPI_SUM, comm2d, ierr )
437	ENDIF
438	IF ( humidity ) THEN
439	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
440	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
441	MPI_REAL, MPI_SUM, comm2d, ierr )
442	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
443	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
444	MPI_REAL, MPI_SUM, comm2d, ierr )
445	IF ( cloud_physics ) THEN
446	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
447	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
448	MPI_REAL, MPI_SUM, comm2d, ierr )
449	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
450	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
451	MPI_REAL, MPI_SUM, comm2d, ierr )
452	ENDIF
453	ENDIF
454
455	IF ( passive_scalar ) THEN
456	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
457	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
458	MPI_REAL, MPI_SUM, comm2d, ierr )
459	ENDIF
460	#else
461	sums(:,1) = sums_l(:,1,0)
462	sums(:,2) = sums_l(:,2,0)
463	sums(:,4) = sums_l(:,4,0)
464	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
465	IF ( humidity ) THEN
466	sums(:,44) = sums_l(:,44,0)
467	sums(:,41) = sums_l(:,41,0)
468	IF ( cloud_physics ) THEN
469	sums(:,42) = sums_l(:,42,0)
470	sums(:,43) = sums_l(:,43,0)
471	ENDIF
472	ENDIF
473	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
474	#endif
475
476	!
477	!-- Final values are obtained by division by the total number of grid points
478	!-- used for summation. After that store profiles.
479	sums(:,1) = sums(:,1) / ngp_2dh(sr)
480	sums(:,2) = sums(:,2) / ngp_2dh(sr)
481	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
482	hom(:,1,1,sr) = sums(:,1) ! u
483	hom(:,1,2,sr) = sums(:,2) ! v
484	hom(:,1,4,sr) = sums(:,4) ! pt
485
486
487	!
488	!-- Salinity
489	IF ( ocean ) THEN
490	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
491	hom(:,1,23,sr) = sums(:,23) ! sa
492	ENDIF
493
494	!
495	!-- Humidity and cloud parameters
496	IF ( humidity ) THEN
497	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
498	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
499	hom(:,1,44,sr) = sums(:,44) ! vpt
500	hom(:,1,41,sr) = sums(:,41) ! qv (q)
501	IF ( cloud_physics ) THEN
502	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
503	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
504	hom(:,1,42,sr) = sums(:,42) ! qv
505	hom(:,1,43,sr) = sums(:,43) ! pt
506	ENDIF
507	ENDIF
508
509	!
510	!-- Passive scalar
511	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
512	ngp_2dh_s_inner(:,sr) ! s (q)
513
514	!
515	!-- Horizontally averaged profiles of the remaining prognostic variables,
516	!-- variances, the total and the perturbation energy (single values in last
517	!-- column of sums_l) and some diagnostic quantities.
518	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
519	!-- ---- speaking the following k-loop would have to be split up and
520	!-- rearranged according to the staggered grid.
521	!-- However, this implies no error since staggered velocity components
522	!-- are zero at the walls and inside buildings.
523	tn = 0
524	#if defined( __intel_openmp_bug )
525	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
526	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
527	tn = omp_get_thread_num()
528	#else
529	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
530	!$ tn = omp_get_thread_num()
531	#endif
532	!$OMP DO
533	DO i = nxl, nxr
534	DO j = nys, nyn
535	sums_l_etot = 0.0_wp
536	DO k = nzb_s_inner(j,i), nzt+1
537	!
538	!-- Prognostic and diagnostic variables
539	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
540	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
541	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
542	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
543	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
544
545	sums_l(k,33,tn) = sums_l(k,33,tn) + &
546	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
547
548	IF ( humidity ) THEN
549	sums_l(k,70,tn) = sums_l(k,70,tn) + &
550	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
551	ENDIF
552
553	!
554	!-- Higher moments
555	!-- (Computation of the skewness of w further below)
556	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
557
558	sums_l_etot = sums_l_etot + &
559	0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + &
560	w(k,j,i)*2 ) rmask(j,i,sr)
561	ENDDO
562	!
563	!-- Total and perturbation energy for the total domain (being
564	!-- collected in the last column of sums_l). Summation of these
565	!-- quantities is seperated from the previous loop in order to
566	!-- allow vectorization of that loop.
567	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
568	!
569	!-- 2D-arrays (being collected in the last column of sums_l)
570	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
571	us(j,i) * rmask(j,i,sr)
572	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
573	usws(j,i) * rmask(j,i,sr)
574	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
575	vsws(j,i) * rmask(j,i,sr)
576	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
577	ts(j,i) * rmask(j,i,sr)
578	IF ( humidity ) THEN
579	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
580	qs(j,i) * rmask(j,i,sr)
581	ENDIF
582	ENDDO
583	ENDDO
584
585	!
586	!-- Computation of statistics when ws-scheme is not used. Else these
587	!-- quantities are evaluated in the advection routines.
588	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
589	!$OMP DO
590	DO i = nxl, nxr
591	DO j = nys, nyn
592	sums_l_eper = 0.0_wp
593	DO k = nzb_s_inner(j,i), nzt+1
594	u2 = u(k,j,i)**2
595	v2 = v(k,j,i)**2
596	w2 = w(k,j,i)**2
597	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
598	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
599
600	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
601	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
602	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
603	!
604	!-- Perturbation energy
605
606	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5_wp * &
607	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
608	sums_l_eper = sums_l_eper + &
609	0.5_wp * ( ust2+vst2+w2 ) * rmask(j,i,sr)
610
611	ENDDO
612	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
613	+ sums_l_eper
614	ENDDO
615	ENDDO
616	ENDIF
617
618	!
619	!-- Horizontally averaged profiles of the vertical fluxes
620
621	!$OMP DO
622	DO i = nxl, nxr
623	DO j = nys, nyn
624	!
625	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
626	!-- oterwise from k=nzb+1)
627	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
628	!-- ---- strictly speaking the following k-loop would have to be
629	!-- split up according to the staggered grid.
630	!-- However, this implies no error since staggered velocity
631	!-- components are zero at the walls and inside buildings.
632
633	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
634	!
635	!-- Momentum flux w"u"
636	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
637	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
638	) * ( &
639	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
640	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
641	) * rmask(j,i,sr)
642	!
643	!-- Momentum flux w"v"
644	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
645	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
646	) * ( &
647	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
648	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
649	) * rmask(j,i,sr)
650	!
651	!-- Heat flux w"pt"
652	sums_l(k,16,tn) = sums_l(k,16,tn) &
653	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
654	* ( pt(k+1,j,i) - pt(k,j,i) ) &
655	* ddzu(k+1) * rmask(j,i,sr)
656
657
658	!
659	!-- Salinity flux w"sa"
660	IF ( ocean ) THEN
661	sums_l(k,65,tn) = sums_l(k,65,tn) &
662	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
663	* ( sa(k+1,j,i) - sa(k,j,i) ) &
664	* ddzu(k+1) * rmask(j,i,sr)
665	ENDIF
666
667	!
668	!-- Buoyancy flux, water flux (humidity flux) w"q"
669	IF ( humidity ) THEN
670	sums_l(k,45,tn) = sums_l(k,45,tn) &
671	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
672	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
673	* ddzu(k+1) * rmask(j,i,sr)
674	sums_l(k,48,tn) = sums_l(k,48,tn) &
675	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
676	* ( q(k+1,j,i) - q(k,j,i) ) &
677	* ddzu(k+1) * rmask(j,i,sr)
678
679	IF ( cloud_physics ) THEN
680	sums_l(k,51,tn) = sums_l(k,51,tn) &
681	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
682	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
683	- ( q(k,j,i) - ql(k,j,i) ) ) &
684	* ddzu(k+1) * rmask(j,i,sr)
685	ENDIF
686	ENDIF
687
688	!
689	!-- Passive scalar flux
690	IF ( passive_scalar ) THEN
691	sums_l(k,48,tn) = sums_l(k,48,tn) &
692	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
693	* ( q(k+1,j,i) - q(k,j,i) ) &
694	* ddzu(k+1) * rmask(j,i,sr)
695	ENDIF
696
697	ENDDO
698
699	!
700	!-- Subgridscale fluxes in the Prandtl layer
701	IF ( use_surface_fluxes ) THEN
702	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
703	usws(j,i) * rmask(j,i,sr) ! w"u"
704	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
705	vsws(j,i) * rmask(j,i,sr) ! w"v"
706	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
707	shf(j,i) * rmask(j,i,sr) ! w"pt"
708	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
709	0.0_wp * rmask(j,i,sr) ! u"pt"
710	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
711	0.0_wp * rmask(j,i,sr) ! v"pt"
712	IF ( ocean ) THEN
713	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
714	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
715	ENDIF
716	IF ( humidity ) THEN
717	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
718	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
719	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
720	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
721	shf(j,i) + 0.61_wp * pt(nzb,j,i) * &
722	qsws(j,i) )
723	IF ( cloud_droplets ) THEN
724	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
725	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
726	ql(nzb,j,i) ) * shf(j,i) + &
727	0.61_wp * pt(nzb,j,i) * qsws(j,i) )
728	ENDIF
729	IF ( cloud_physics ) THEN
730	!
731	!-- Formula does not work if ql(nzb) /= 0.0
732	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
733	qsws(j,i) * rmask(j,i,sr)
734	ENDIF
735	ENDIF
736	IF ( passive_scalar ) THEN
737	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
738	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
739	ENDIF
740	ENDIF
741
742	IF ( land_surface ) THEN
743	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + ghf_eb(j,i)
744	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + shf_eb(j,i)
745	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + qsws_eb(j,i)
746	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + qsws_liq_eb(j,i)
747	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + qsws_soil_eb(j,i)
748	sums_l(nzb,98,tn) = sums_l(nzb,98,tn) + qsws_veg_eb(j,i)
749	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + r_a(j,i)
750	sums_l(nzb,100,tn) = sums_l(nzb,100,tn)+ r_s(j,i)
751	ENDIF
752
753	IF ( radiation ) THEN
754	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + rad_net(j,i)
755	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + rad_lw_in(nzb,j,i)
756	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + rad_lw_out(nzb,j,i)
757	sums_l(nzb,104,tn) = sums_l(nzb,104,tn) + rad_sw_in(nzb,j,i)
758	sums_l(nzb,105,tn) = sums_l(nzb,105,tn) + rad_sw_out(nzb,j,i)
759
760	#if defined ( __rrtmg )
761	IF ( radiation_scheme == 'rrtmg' ) THEN
762	sums_l(nzb,106,tn) = sums_l(nzb,106,tn) + rrtm_aldif(0,j,i)
763	sums_l(nzb,107,tn) = sums_l(nzb,107,tn) + rrtm_aldir(0,j,i)
764	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + rrtm_asdif(0,j,i)
765	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + rrtm_asdir(0,j,i)
766	ENDIF
767	#endif
768
769	ENDIF
770
771	!
772	!-- Subgridscale fluxes at the top surface
773	IF ( use_top_fluxes ) THEN
774	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
775	uswst(j,i) * rmask(j,i,sr) ! w"u"
776	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
777	vswst(j,i) * rmask(j,i,sr) ! w"v"
778	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
779	tswst(j,i) * rmask(j,i,sr) ! w"pt"
780	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
781	0.0_wp * rmask(j,i,sr) ! u"pt"
782	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
783	0.0_wp * rmask(j,i,sr) ! v"pt"
784
785	IF ( ocean ) THEN
786	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
787	saswst(j,i) * rmask(j,i,sr) ! w"sa"
788	ENDIF
789	IF ( humidity ) THEN
790	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
791	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
792	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
793	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
794	tswst(j,i) + 0.61_wp * pt(nzt,j,i) * &
795	qswst(j,i) )
796	IF ( cloud_droplets ) THEN
797	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
798	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
799	ql(nzt,j,i) ) * tswst(j,i) + &
800	0.61_wp * pt(nzt,j,i) * qswst(j,i) )
801	ENDIF
802	IF ( cloud_physics ) THEN
803	!
804	!-- Formula does not work if ql(nzb) /= 0.0
805	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
806	qswst(j,i) * rmask(j,i,sr)
807	ENDIF
808	ENDIF
809	IF ( passive_scalar ) THEN
810	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
811	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
812	ENDIF
813	ENDIF
814
815	!
816	!-- Resolved fluxes (can be computed for all horizontal points)
817	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
818	!-- ---- speaking the following k-loop would have to be split up and
819	!-- rearranged according to the staggered grid.
820	DO k = nzb_s_inner(j,i), nzt
821	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
822	u(k+1,j,i) - hom(k+1,1,1,sr) )
823	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
824	v(k+1,j,i) - hom(k+1,1,2,sr) )
825	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
826	pt(k+1,j,i) - hom(k+1,1,4,sr) )
827
828	!-- Higher moments
829	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
830	rmask(j,i,sr)
831	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
832	rmask(j,i,sr)
833
834	!
835	!-- Salinity flux and density (density does not belong to here,
836	!-- but so far there is no other suitable place to calculate)
837	IF ( ocean ) THEN
838	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
839	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
840	sa(k+1,j,i) - hom(k+1,1,23,sr) )
841	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
842	rmask(j,i,sr)
843	ENDIF
844	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
845	rmask(j,i,sr)
846	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
847	rmask(j,i,sr)
848	ENDIF
849
850	!
851	!-- Buoyancy flux, water flux, humidity flux, liquid water
852	!-- content, rain drop concentration and rain water content
853	IF ( humidity ) THEN
854	IF ( cloud_physics .OR. cloud_droplets ) THEN
855	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
856	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
857	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
858	rmask(j,i,sr)
859	IF ( .NOT. cloud_droplets ) THEN
860	pts = 0.5_wp * &
861	( ( q(k,j,i) - ql(k,j,i) ) - &
862	hom(k,1,42,sr) + &
863	( q(k+1,j,i) - ql(k+1,j,i) ) - &
864	hom(k+1,1,42,sr) )
865	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
866	rmask(j,i,sr)
867	IF ( icloud_scheme == 0 ) THEN
868	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
869	rmask(j,i,sr)
870	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
871	rmask(j,i,sr)
872	IF ( precipitation ) THEN
873	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
874	rmask(j,i,sr)
875	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
876	rmask(j,i,sr)
877	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) *&
878	rmask(j,i,sr)
879	ENDIF
880	ELSE
881	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
882	rmask(j,i,sr)
883	ENDIF
884	ELSE
885	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
886	rmask(j,i,sr)
887	ENDIF
888	ELSE
889	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
890	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
891	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
892	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
893	rmask(j,i,sr)
894	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
895	sums_l(k,46,tn) = ( 1.0_wp + 0.61_wp * &
896	hom(k,1,41,sr) ) * &
897	sums_l(k,17,tn) + &
898	0.61_wp * hom(k,1,4,sr) * &
899	sums_l(k,49,tn)
900	END IF
901	END IF
902	ENDIF
903	!
904	!-- Passive scalar flux
905	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
906	.OR. sr /= 0 ) ) THEN
907	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
908	q(k+1,j,i) - hom(k+1,1,41,sr) )
909	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
910	rmask(j,i,sr)
911	ENDIF
912
913	!
914	!-- Energy flux we
915	!-- has to be adjusted
916	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
917	( ust2 + vst2 + w(k,j,i)**2 ) &
918	* rmask(j,i,sr)
919	ENDDO
920	ENDDO
921	ENDDO
922	!
923	!-- For speed optimization fluxes which have been computed in part directly
924	!-- inside the WS advection routines are treated seperatly
925	!-- Momentum fluxes first:
926	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
927	!$OMP DO
928	DO i = nxl, nxr
929	DO j = nys, nyn
930	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
931	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
932	u(k+1,j,i) - hom(k+1,1,1,sr) )
933	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
934	v(k+1,j,i) - hom(k+1,1,2,sr) )
935	!
936	!-- Momentum flux wu
937	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
938	( w(k,j,i-1) + w(k,j,i) ) &
939	* ust * rmask(j,i,sr)
940	!
941	!-- Momentum flux wv
942	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * &
943	( w(k,j-1,i) + w(k,j,i) ) &
944	* vst * rmask(j,i,sr)
945	ENDDO
946	ENDDO
947	ENDDO
948
949	ENDIF
950	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
951	!$OMP DO
952	DO i = nxl, nxr
953	DO j = nys, nyn
954	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
955	!
956	!-- Vertical heat flux
957	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
958	( pt(k,j,i) - hom(k,1,4,sr) + &
959	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
960	* w(k,j,i) * rmask(j,i,sr)
961	IF ( humidity ) THEN
962	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
963	q(k+1,j,i) - hom(k+1,1,41,sr) )
964	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
965	rmask(j,i,sr)
966	ENDIF
967	ENDDO
968	ENDDO
969	ENDDO
970
971	ENDIF
972
973	!
974	!-- Density at top follows Neumann condition
975	IF ( ocean ) THEN
976	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
977	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
978	ENDIF
979
980	!
981	!-- Divergence of vertical flux of resolved scale energy and pressure
982	!-- fluctuations as well as flux of pressure fluctuation itself (68).
983	!-- First calculate the products, then the divergence.
984	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
985	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) THEN
986
987	sums_ll = 0.0_wp ! local array
988
989	!$OMP DO
990	DO i = nxl, nxr
991	DO j = nys, nyn
992	DO k = nzb_s_inner(j,i)+1, nzt
993
994	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
995	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
996	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
997	) )**2 &
998	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
999	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
1000	) )**2 &
1001	+ w(k,j,i)**2 )
1002
1003	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1004	* ( p(k,j,i) + p(k+1,j,i) )
1005
1006	ENDDO
1007	ENDDO
1008	ENDDO
1009	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1010	sums_ll(nzt+1,1) = 0.0_wp
1011	sums_ll(0,2) = 0.0_wp
1012	sums_ll(nzt+1,2) = 0.0_wp
1013
1014	DO k = nzb+1, nzt
1015	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1016	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1017	sums_l(k,68,tn) = sums_ll(k,2)
1018	ENDDO
1019	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1020	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1021	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1022
1023	ENDIF
1024
1025	!
1026	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1027	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) THEN
1028
1029	!$OMP DO
1030	DO i = nxl, nxr
1031	DO j = nys, nyn
1032	DO k = nzb_s_inner(j,i)+1, nzt
1033
1034	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1035	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1036	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1037	) * ddzw(k)
1038
1039	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1040	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1041	)
1042
1043	ENDDO
1044	ENDDO
1045	ENDDO
1046	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1047	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1048
1049	ENDIF
1050
1051	!
1052	!-- Horizontal heat fluxes (subgrid, resolved, total).
1053	!-- Do it only, if profiles shall be plotted.
1054	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1055
1056	!$OMP DO
1057	DO i = nxl, nxr
1058	DO j = nys, nyn
1059	DO k = nzb_s_inner(j,i)+1, nzt
1060	!
1061	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1062	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1063	( kh(k,j,i) + kh(k,j,i-1) ) &
1064	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1065	* ddx * rmask(j,i,sr)
1066	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1067	( kh(k,j,i) + kh(k,j-1,i) ) &
1068	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1069	* ddy * rmask(j,i,sr)
1070	!
1071	!-- Resolved horizontal heat fluxes upt, vpt
1072	sums_l(k,59,tn) = sums_l(k,59,tn) + &
1073	( u(k,j,i) - hom(k,1,1,sr) ) &
1074	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1075	pt(k,j,i) - hom(k,1,4,sr) )
1076	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1077	pt(k,j,i) - hom(k,1,4,sr) )
1078	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1079	( v(k,j,i) - hom(k,1,2,sr) ) &
1080	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1081	pt(k,j,i) - hom(k,1,4,sr) )
1082	ENDDO
1083	ENDDO
1084	ENDDO
1085	!
1086	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1087	sums_l(nzb,58,tn) = 0.0_wp
1088	sums_l(nzb,59,tn) = 0.0_wp
1089	sums_l(nzb,60,tn) = 0.0_wp
1090	sums_l(nzb,61,tn) = 0.0_wp
1091	sums_l(nzb,62,tn) = 0.0_wp
1092	sums_l(nzb,63,tn) = 0.0_wp
1093
1094	ENDIF
1095
1096	!
1097	!-- Collect current large scale advection and subsidence tendencies for
1098	!-- data output
1099	IF ( large_scale_forcing .AND. ( simulated_time .GT. 0.0_wp ) ) THEN
1100	!
1101	!-- Interpolation in time of LSF_DATA
1102	nt = 1
1103	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1104	nt = nt + 1
1105	ENDDO
1106	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1107	nt = nt - 1
1108	ENDIF
1109
1110	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
1111	/ ( time_vert(nt+1)-time_vert(nt) )
1112
1113
1114	DO k = nzb, nzt
1115	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
1116	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1117	sums_ls_l(k,1) = td_lsa_q(k,nt) &
1118	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1119	ENDDO
1120
1121	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1122	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1123
1124	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1125
1126	DO k = nzb, nzt
1127	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
1128	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1129	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
1130	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1131	ENDDO
1132
1133	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1134	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1135
1136	ENDIF
1137
1138	ENDIF
1139
1140
1141	IF ( land_surface ) THEN
1142	!$OMP DO
1143	DO i = nxl, nxr
1144	DO j = nys, nyn
1145	DO k = nzb_soil, nzt_soil
1146	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil(k,j,i) * rmask(j,i,sr)
1147	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil(k,j,i) * rmask(j,i,sr)
1148	ENDDO
1149	ENDDO
1150	ENDDO
1151	ENDIF
1152
1153	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1154	!$OMP DO
1155	DO i = nxl, nxr
1156	DO j = nys, nyn
1157	DO k = nzb_s_inner(j,i)+1, nzt+1
1158	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_lw_in(k,j,i) * rmask(j,i,sr)
1159	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_lw_out(k,j,i) * rmask(j,i,sr)
1160	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_sw_in(k,j,i) * rmask(j,i,sr)
1161	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_sw_out(k,j,i) * rmask(j,i,sr)
1162	ENDDO
1163	ENDDO
1164	ENDDO
1165	ENDIF
1166	!
1167	!-- Calculate the user-defined profiles
1168	CALL user_statistics( 'profiles', sr, tn )
1169	!$OMP END PARALLEL
1170
1171	!
1172	!-- Summation of thread sums
1173	IF ( threads_per_task > 1 ) THEN
1174	DO i = 1, threads_per_task-1
1175	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1176	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1177	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1178	sums_l(:,45:pr_palm,i)
1179	IF ( max_pr_user > 0 ) THEN
1180	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1181	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1182	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1183	ENDIF
1184	ENDDO
1185	ENDIF
1186
1187	#if defined( __parallel )
1188
1189	!
1190	!-- Compute total sum from local sums
1191	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1192	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1193	MPI_SUM, comm2d, ierr )
1194	IF ( large_scale_forcing ) THEN
1195	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
1196	MPI_REAL, MPI_SUM, comm2d, ierr )
1197	ENDIF
1198	#else
1199	sums = sums_l(:,:,0)
1200	IF ( large_scale_forcing ) THEN
1201	sums(:,81:88) = sums_ls_l
1202	ENDIF
1203	#endif
1204
1205	!
1206	!-- Final values are obtained by division by the total number of grid points
1207	!-- used for summation. After that store profiles.
1208	!-- Profiles:
1209	DO k = nzb, nzt+1
1210	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1211	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1212	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1213	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1214	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1215	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1216	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1217	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1218	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1219	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1220	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1221	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1222	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
1223	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1224	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1225	sums(k,89:105) = sums(k,89:105) / ngp_2dh(sr)
1226	sums(k,106:pr_palm-2) = sums(k,106:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
1227	ENDDO
1228
1229	!-- Upstream-parts
1230	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
1231	!-- u* and so on
1232	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1233	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1234	!-- above the topography, they are being divided by ngp_2dh(sr)
1235	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1236	ngp_2dh(sr)
1237	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1238	ngp_2dh(sr)
1239	!-- eges, e*
1240	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1241	ngp_3d(sr)
1242	!-- Old and new divergence
1243	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1244	ngp_3d_inner(sr)
1245
1246	!-- User-defined profiles
1247	IF ( max_pr_user > 0 ) THEN
1248	DO k = nzb, nzt+1
1249	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1250	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1251	ngp_2dh_s_inner(k,sr)
1252	ENDDO
1253	ENDIF
1254
1255	!
1256	!-- Collect horizontal average in hom.
1257	!-- Compute deduced averages (e.g. total heat flux)
1258	hom(:,1,3,sr) = sums(:,3) ! w
1259	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1260	hom(:,1,9,sr) = sums(:,9) ! km
1261	hom(:,1,10,sr) = sums(:,10) ! kh
1262	hom(:,1,11,sr) = sums(:,11) ! l
1263	hom(:,1,12,sr) = sums(:,12) ! w"u"
1264	hom(:,1,13,sr) = sums(:,13) ! wu
1265	hom(:,1,14,sr) = sums(:,14) ! w"v"
1266	hom(:,1,15,sr) = sums(:,15) ! wv
1267	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1268	hom(:,1,17,sr) = sums(:,17) ! wpt
1269	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1270	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1271	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1272	hom(:,1,21,sr) = sums(:,21) ! wptBC
1273	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1274	! profile 24 is initial profile (sa)
1275	! profiles 25-29 left empty for initial
1276	! profiles
1277	hom(:,1,30,sr) = sums(:,30) ! u*2
1278	hom(:,1,31,sr) = sums(:,31) ! v*2
1279	hom(:,1,32,sr) = sums(:,32) ! w*2
1280	hom(:,1,33,sr) = sums(:,33) ! pt*2
1281	hom(:,1,34,sr) = sums(:,34) ! e*
1282	hom(:,1,35,sr) = sums(:,35) ! w2pt
1283	hom(:,1,36,sr) = sums(:,36) ! wpt2
1284	hom(:,1,37,sr) = sums(:,37) ! we
1285	hom(:,1,38,sr) = sums(:,38) ! w*3
1286	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1287	hom(:,1,40,sr) = sums(:,40) ! p
1288	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1289	hom(:,1,46,sr) = sums(:,46) ! wvpt
1290	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1291	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1292	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1293	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1294	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1295	hom(:,1,52,sr) = sums(:,52) ! wqv
1296	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1297	hom(:,1,54,sr) = sums(:,54) ! ql
1298	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1299	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1300	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
1301	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1302	hom(:,1,59,sr) = sums(:,59) ! upt
1303	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1304	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1305	hom(:,1,62,sr) = sums(:,62) ! vpt
1306	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1307	hom(:,1,64,sr) = sums(:,64) ! rho
1308	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1309	hom(:,1,66,sr) = sums(:,66) ! wsa
1310	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1311	hom(:,1,68,sr) = sums(:,68) ! wp
1312	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
1313	hom(:,1,70,sr) = sums(:,70) ! q*2
1314	hom(:,1,71,sr) = sums(:,71) ! prho
1315	hom(:,1,72,sr) = hyp * 1E-4_wp ! hyp in dbar
1316	hom(:,1,73,sr) = sums(:,73) ! nr
1317	hom(:,1,74,sr) = sums(:,74) ! qr
1318	hom(:,1,75,sr) = sums(:,75) ! qc
1319	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1320	! 77 is initial density profile
1321	hom(:,1,78,sr) = ug ! ug
1322	hom(:,1,79,sr) = vg ! vg
1323	hom(:,1,80,sr) = w_subs ! w_subs
1324
1325	IF ( large_scale_forcing ) THEN
1326	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1327	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1328	IF ( use_subsidence_tendencies ) THEN
1329	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1330	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1331	ELSE
1332	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1333	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1334	ENDIF
1335	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1336	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1337	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1338	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1339	ENDIF
1340
1341	IF ( land_surface ) THEN
1342	hom(:,1,89,sr) = sums(:,89) ! t_soil
1343	! 90 is initial t_soil profile
1344	hom(:,1,91,sr) = sums(:,91) ! m_soil
1345	! 92 is initial m_soil profile
1346	hom(:,1,93,sr) = sums(:,93) ! ghf_eb
1347	hom(:,1,94,sr) = sums(:,94) ! shf_eb
1348	hom(:,1,95,sr) = sums(:,95) ! qsws_eb
1349	hom(:,1,96,sr) = sums(:,96) ! qsws_liq_eb
1350	hom(:,1,97,sr) = sums(:,97) ! qsws_soil_eb
1351	hom(:,1,98,sr) = sums(:,98) ! qsws_veg_eb
1352	hom(:,1,99,sr) = sums(:,99) ! r_a
1353	hom(:,1,100,sr) = sums(:,100) ! r_s
1354
1355	ENDIF
1356
1357	IF ( radiation ) THEN
1358	hom(:,1,101,sr) = sums(:,101) ! rad_net
1359	hom(:,1,102,sr) = sums(:,102) ! rad_lw_in
1360	hom(:,1,103,sr) = sums(:,103) ! rad_lw_out
1361	hom(:,1,104,sr) = sums(:,104) ! rad_sw_in
1362	hom(:,1,105,sr) = sums(:,105) ! rad_sw_out
1363
1364	#if defined ( __rrtmg )
1365	IF ( radiation_scheme == 'rrtmg' ) THEN
1366	hom(:,1,106,sr) = sums(:,106) ! rrtm_aldif
1367	hom(:,1,107,sr) = sums(:,107) ! rrtm_aldir
1368	hom(:,1,108,sr) = sums(:,108) ! rrtm_asdif
1369	hom(:,1,109,sr) = sums(:,109) ! rrtm_asdir
1370	ENDIF
1371	#endif
1372
1373	ENDIF
1374
1375	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
1376	! upstream-parts u_x, u_y, u_z, v_x,
1377	! v_y, usw. (in last but one profile)
1378	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
1379	! u, w'u', w'v', t (in last profile)
1380
1381	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
1382	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
1383	sums(:,pr_palm+1:pr_palm+max_pr_user)
1384	ENDIF
1385
1386	!
1387	!-- Determine the boundary layer height using two different schemes.
1388	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
1389	!-- first relative minimum (maximum) of the total heat flux.
1390	!-- The corresponding height is assumed as the boundary layer height, if it
1391	!-- is less than 1.5 times the height where the heat flux becomes negative
1392	!-- (positive) for the first time.
1393	z_i(1) = 0.0_wp
1394	first = .TRUE.
1395
1396	IF ( ocean ) THEN
1397	DO k = nzt, nzb+1, -1
1398	IF ( first .AND. hom(k,1,18,sr) < 0.0_wp &
1399	.AND. abs(hom(k,1,18,sr)) > 1.0E-8_wp) THEN
1400	first = .FALSE.
1401	height = zw(k)
1402	ENDIF
1403	IF ( hom(k,1,18,sr) < 0.0_wp .AND. &
1404	abs(hom(k,1,18,sr)) > 1.0E-8_wp .AND. &
1405	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
1406	IF ( zw(k) < 1.5_wp * height ) THEN
1407	z_i(1) = zw(k)
1408	ELSE
1409	z_i(1) = height
1410	ENDIF
1411	EXIT
1412	ENDIF
1413	ENDDO
1414	ELSE
1415	DO k = nzb, nzt-1
1416	IF ( first .AND. hom(k,1,18,sr) < 0.0_wp &
1417	.AND. abs(hom(k,1,18,sr)) > 1.0E-8_wp ) THEN
1418	first = .FALSE.
1419	height = zw(k)
1420	ENDIF
1421	IF ( hom(k,1,18,sr) < 0.0_wp .AND. &
1422	abs(hom(k,1,18,sr)) > 1.0E-8_wp .AND. &
1423	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
1424	IF ( zw(k) < 1.5_wp * height ) THEN
1425	z_i(1) = zw(k)
1426	ELSE
1427	z_i(1) = height
1428	ENDIF
1429	EXIT
1430	ENDIF
1431	ENDDO
1432	ENDIF
1433
1434	!
1435	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
1436	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
1437	!-- maximal local temperature gradient: starting from the second (the last
1438	!-- but one) vertical gridpoint, the local gradient must be at least
1439	!-- 0.2K/100m and greater than the next four gradients.
1440	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
1441	!-- ocean case!
1442	z_i(2) = 0.0_wp
1443	DO k = nzb+1, nzt+1
1444	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
1445	ENDDO
1446	dptdz_threshold = 0.2_wp / 100.0_wp
1447
1448	IF ( ocean ) THEN
1449	DO k = nzt+1, nzb+5, -1
1450	IF ( dptdz(k) > dptdz_threshold .AND. &
1451	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
1452	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
1453	z_i(2) = zw(k-1)
1454	EXIT
1455	ENDIF
1456	ENDDO
1457	ELSE
1458	DO k = nzb+1, nzt-3
1459	IF ( dptdz(k) > dptdz_threshold .AND. &
1460	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
1461	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
1462	z_i(2) = zw(k-1)
1463	EXIT
1464	ENDIF
1465	ENDDO
1466	ENDIF
1467
1468	hom(nzb+6,1,pr_palm,sr) = z_i(1)
1469	hom(nzb+7,1,pr_palm,sr) = z_i(2)
1470
1471	!
1472	!-- Computation of both the characteristic vertical velocity and
1473	!-- the characteristic convective boundary layer temperature.
1474	!-- The horizontal average at nzb+1 is input for the average temperature.
1475	IF ( hom(nzb,1,18,sr) > 0.0_wp .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8_wp &
1476	.AND. z_i(1) /= 0.0_wp ) THEN
1477	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
1478	hom(nzb,1,18,sr) * &
1479	ABS( z_i(1) ) )**0.333333333_wp
1480	!-- so far this only works if Prandtl layer is used
1481	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
1482	ELSE
1483	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
1484	hom(nzb+11,1,pr_palm,sr) = 0.0_wp
1485	ENDIF
1486
1487	!
1488	!-- Collect the time series quantities
1489	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
1490	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
1491	ts_value(3,sr) = dt_3d
1492	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
1493	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
1494	ts_value(6,sr) = u_max
1495	ts_value(7,sr) = v_max
1496	ts_value(8,sr) = w_max
1497	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
1498	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
1499	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
1500	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
1501	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
1502	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
1503	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
1504	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
1505	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
1506	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
1507	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
1508	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
1509	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
1510
1511	IF ( ts_value(5,sr) /= 0.0_wp ) THEN
1512	ts_value(22,sr) = ts_value(4,sr)**2 / &
1513	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
1514	ELSE
1515	ts_value(22,sr) = 10000.0_wp
1516	ENDIF
1517
1518	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
1519
1520	!
1521	!-- Collect land surface model timeseries
1522	IF ( land_surface ) THEN
1523	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf_eb
1524	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! shf_eb
1525	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_eb
1526	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_liq_eb
1527	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! qsws_soil_eb
1528	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! qsws_veg_eb
1529	ts_value(dots_soil+6,sr) = hom(nzb,1,99,sr) ! r_a
1530	ts_value(dots_soil+7,sr) = hom(nzb,1,100,sr) ! r_s
1531	ENDIF
1532	!
1533	!-- Collect radiation model timeseries
1534	IF ( radiation ) THEN
1535	ts_value(dots_rad,sr) = hom(nzb,1,101,sr) ! rad_net
1536	ts_value(dots_rad+1,sr) = hom(nzb,1,102,sr) ! rad_lw_in
1537	ts_value(dots_rad+2,sr) = hom(nzb,1,103,sr) ! rad_lw_out
1538	ts_value(dots_rad+3,sr) = hom(nzb,1,104,sr) ! rad_lw_in
1539	ts_value(dots_rad+4,sr) = hom(nzb,1,105,sr) ! rad_lw_out
1540
1541	#if defined ( __rrtmg )
1542	IF ( radiation_scheme == 'rrtmg' ) THEN
1543	ts_value(dots_rad+5,sr) = hom(nzb,1,106,sr) ! rrtm_aldif
1544	ts_value(dots_rad+6,sr) = hom(nzb,1,107,sr) ! rrtm_aldir
1545	ts_value(dots_rad+7,sr) = hom(nzb,1,108,sr) ! rrtm_asdif
1546	ts_value(dots_rad+8,sr) = hom(nzb,1,109,sr) ! rrtm_asdir
1547	ENDIF
1548	#endif
1549
1550	ENDIF
1551
1552	!
1553	!-- Calculate additional statistics provided by the user interface
1554	CALL user_statistics( 'time_series', sr, 0 )
1555
1556	ENDDO ! loop of the subregions
1557
1558	!
1559	!-- If required, sum up horizontal averages for subsequent time averaging
1560	IF ( do_sum ) THEN
1561	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
1562	hom_sum = hom_sum + hom(:,1,:,:)
1563	average_count_pr = average_count_pr + 1
1564	do_sum = .FALSE.
1565	ENDIF
1566
1567	!
1568	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
1569	!-- This flag is reset after each time step in time_integration.
1570	flow_statistics_called = .TRUE.
1571
1572	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
1573
1574
1575	END SUBROUTINE flow_statistics
1576
1577
1578	#else
1579
1580
1581	!------------------------------------------------------------------------------!
1582	! flow statistics - accelerator version
1583	!------------------------------------------------------------------------------!
1584	SUBROUTINE flow_statistics
1585
1586	USE arrays_3d, &
1587	ONLY: ddzu, ddzw, e, hyp, km, kh, nr, p, prho, pt, q, qc, ql, qr, qs, &
1588	qsws, qswst, rho, sa, saswsb, saswst, shf, td_lsa_lpt, td_lsa_q,&
1589	td_sub_lpt, td_sub_q, time_vert, ts, tswst, u, ug, us, usws, &
1590	uswst, vsws, v, vg, vpt, vswst, w, w_subs, zw
1591
1592
1593	USE cloud_parameters, &
1594	ONLY: l_d_cp, prr, pt_d_t
1595
1596	USE control_parameters, &
1597	ONLY : average_count_pr, cloud_droplets, cloud_physics, do_sum, &
1598	dt_3d, g, humidity, icloud_scheme, kappa, large_scale_forcing, &
1599	large_scale_subsidence, max_pr_user, message_string, ocean, &
1600	passive_scalar, precipitation, simulated_time, &
1601	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
1602	ws_scheme_mom, ws_scheme_sca
1603
1604	USE cpulog, &
1605	ONLY: cpu_log, log_point
1606
1607	USE grid_variables, &
1608	ONLY: ddx, ddy
1609
1610	USE indices, &
1611	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
1612	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzb_diff_s_inner, &
1613	nzb_s_inner, nzt, nzt_diff, rflags_invers
1614
1615	USE kinds
1616
1617	USE land_surface_model_mod, &
1618	ONLY: dots_soil, ghf_eb, land_surface, m_soil, nzb_soil, nzt_soil, &
1619	qsws_eb, qsws_liq_eb, qsws_soil_eb, qsws_veg_eb, r_a, r_s, &
1620	shf_eb, t_soil
1621
1622	USE pegrid
1623
1624	USE radiation_model_mod, &
1625	ONLY: dots_rad, radiation, radiation_scheme, rad_net, &
1626	rad_lw_in, rad_lw_out, rad_sw_in, rad_sw_out
1627
1628	#if defined ( __rrtmg )
1629	USE radiation_model_mod, &
1630	ONLY: rrtm_aldif, rrtm_aldir, rrtm_asdif, rrtm_asdir
1631	#endif
1632
1633	USE statistics
1634
1635	IMPLICIT NONE
1636
1637	INTEGER(iwp) :: i !:
1638	INTEGER(iwp) :: j !:
1639	INTEGER(iwp) :: k !:
1640	INTEGER(iwp) :: nt !:
1641	INTEGER(iwp) :: omp_get_thread_num !:
1642	INTEGER(iwp) :: sr !:
1643	INTEGER(iwp) :: tn !:
1644
1645	LOGICAL :: first !:
1646
1647	REAL(wp) :: dptdz_threshold !:
1648	REAL(wp) :: fac !:
1649	REAL(wp) :: height !:
1650	REAL(wp) :: pts !:
1651	REAL(wp) :: sums_l_eper !:
1652	REAL(wp) :: sums_l_etot !:
1653	REAL(wp) :: s1 !:
1654	REAL(wp) :: s2 !:
1655	REAL(wp) :: s3 !:
1656	REAL(wp) :: s4 !:
1657	REAL(wp) :: s5 !:
1658	REAL(wp) :: s6 !:
1659	REAL(wp) :: s7 !:
1660	REAL(wp) :: ust !:
1661	REAL(wp) :: ust2 !:
1662	REAL(wp) :: u2 !:
1663	REAL(wp) :: vst !:
1664	REAL(wp) :: vst2 !:
1665	REAL(wp) :: v2 !:
1666	REAL(wp) :: w2 !:
1667	REAL(wp) :: z_i(2) !:
1668
1669	REAL(wp) :: dptdz(nzb+1:nzt+1) !:
1670	REAL(wp) :: sums_ll(nzb:nzt+1,2) !:
1671
1672	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
1673
1674	!
1675	!-- To be on the safe side, check whether flow_statistics has already been
1676	!-- called once after the current time step
1677	IF ( flow_statistics_called ) THEN
1678
1679	message_string = 'flow_statistics is called two times within one ' // &
1680	'timestep'
1681	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
1682
1683	ENDIF
1684
1685	!$acc data create( sums, sums_l )
1686	!$acc update device( hom )
1687
1688	!
1689	!-- Compute statistics for each (sub-)region
1690	DO sr = 0, statistic_regions
1691
1692	!
1693	!-- Initialize (local) summation array
1694	sums_l = 0.0_wp
1695
1696	!
1697	!-- Store sums that have been computed in other subroutines in summation
1698	!-- array
1699	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
1700	!-- WARNING: next line still has to be adjusted for OpenMP
1701	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
1702	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
1703	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
1704
1705	!
1706	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
1707	!-- scale) vertical fluxes and velocity variances by using commonly-
1708	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
1709	!-- in combination with the 5th order advection scheme, pronounced
1710	!-- artificial kinks could be observed in the vertical profiles near the
1711	!-- surface. Please note: these kinks were not related to the model truth,
1712	!-- i.e. these kinks are just related to an evaluation problem.
1713	!-- In order avoid these kinks, vertical fluxes and horizontal as well
1714	!-- vertical velocity variances are calculated directly within the advection
1715	!-- routines, according to the numerical discretization, to evaluate the
1716	!-- statistical quantities as they will appear within the prognostic
1717	!-- equations.
1718	!-- Copy the turbulent quantities, evaluated in the advection routines to
1719	!-- the local array sums_l() for further computations.
1720	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
1721
1722	!
1723	!-- According to the Neumann bc for the horizontal velocity components,
1724	!-- the corresponding fluxes has to satisfiy the same bc.
1725	IF ( ocean ) THEN
1726	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
1727	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
1728	ENDIF
1729
1730	DO i = 0, threads_per_task-1
1731	!
1732	!-- Swap the turbulent quantities evaluated in advec_ws.
1733	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
1734	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
1735	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
1736	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
1737	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
1738	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
1739	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
1740	sums_ws2_ws_l(:,i) ) ! e*
1741	DO k = nzb, nzt
1742	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5_wp * ( &
1743	sums_us2_ws_l(k,i) + &
1744	sums_vs2_ws_l(k,i) + &
1745	sums_ws2_ws_l(k,i) )
1746	ENDDO
1747	ENDDO
1748
1749	ENDIF
1750
1751	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1752
1753	DO i = 0, threads_per_task-1
1754	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
1755	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
1756	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
1757	sums_wsqs_ws_l(:,i) !wq
1758	ENDDO
1759
1760	ENDIF
1761	!
1762	!-- Horizontally averaged profiles of horizontal velocities and temperature.
1763	!-- They must have been computed before, because they are already required
1764	!-- for other horizontal averages.
1765	tn = 0
1766
1767	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1768	#if defined( __intel_openmp_bug )
1769	tn = omp_get_thread_num()
1770	#else
1771	!$ tn = omp_get_thread_num()
1772	#endif
1773
1774	!$acc update device( sums_l )
1775
1776	!$OMP DO
1777	!$acc parallel loop gang present( pt, rflags_invers, rmask, sums_l, u, v ) create( s1, s2, s3 )
1778	DO k = nzb, nzt+1
1779	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
1780	DO i = nxl, nxr
1781	DO j = nys, nyn
1782	!
1783	!-- k+1 is used in rflags since rflags is set 0 at surface points
1784	s1 = s1 + u(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1785	s2 = s2 + v(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1786	s3 = s3 + pt(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1787	ENDDO
1788	ENDDO
1789	sums_l(k,1,tn) = s1
1790	sums_l(k,2,tn) = s2
1791	sums_l(k,4,tn) = s3
1792	ENDDO
1793	!$acc end parallel loop
1794
1795	!
1796	!-- Horizontally averaged profile of salinity
1797	IF ( ocean ) THEN
1798	!$OMP DO
1799	!$acc parallel loop gang present( rflags_invers, rmask, sums_l, sa ) create( s1 )
1800	DO k = nzb, nzt+1
1801	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1802	DO i = nxl, nxr
1803	DO j = nys, nyn
1804	s1 = s1 + sa(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1805	ENDDO
1806	ENDDO
1807	sums_l(k,23,tn) = s1
1808	ENDDO
1809	!$acc end parallel loop
1810	ENDIF
1811
1812	!
1813	!-- Horizontally averaged profiles of virtual potential temperature,
1814	!-- total water content, specific humidity and liquid water potential
1815	!-- temperature
1816	IF ( humidity ) THEN
1817
1818	!$OMP DO
1819	!$acc parallel loop gang present( q, rflags_invers, rmask, sums_l, vpt ) create( s1, s2 )
1820	DO k = nzb, nzt+1
1821	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
1822	DO i = nxl, nxr
1823	DO j = nys, nyn
1824	s1 = s1 + q(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1825	s2 = s2 + vpt(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1826	ENDDO
1827	ENDDO
1828	sums_l(k,41,tn) = s1
1829	sums_l(k,44,tn) = s2
1830	ENDDO
1831	!$acc end parallel loop
1832
1833	IF ( cloud_physics ) THEN
1834	!$OMP DO
1835	!$acc parallel loop gang present( pt, q, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
1836	DO k = nzb, nzt+1
1837	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
1838	DO i = nxl, nxr
1839	DO j = nys, nyn
1840	s1 = s1 + ( q(k,j,i) - ql(k,j,i) ) * &
1841	rmask(j,i,sr) * rflags_invers(j,i,k+1)
1842	s2 = s2 + ( pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) ) * &
1843	rmask(j,i,sr) * rflags_invers(j,i,k+1)
1844	ENDDO
1845	ENDDO
1846	sums_l(k,42,tn) = s1
1847	sums_l(k,43,tn) = s2
1848	ENDDO
1849	!$acc end parallel loop
1850	ENDIF
1851	ENDIF
1852
1853	!
1854	!-- Horizontally averaged profiles of passive scalar
1855	IF ( passive_scalar ) THEN
1856	!$OMP DO
1857	!$acc parallel loop gang present( q, rflags_invers, rmask, sums_l ) create( s1 )
1858	DO k = nzb, nzt+1
1859	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1860	DO i = nxl, nxr
1861	DO j = nys, nyn
1862	s1 = s1 + q(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1863	ENDDO
1864	ENDDO
1865	sums_l(k,41,tn) = s1
1866	ENDDO
1867	!$acc end parallel loop
1868	ENDIF
1869	!$OMP END PARALLEL
1870
1871	!
1872	!-- Summation of thread sums
1873	IF ( threads_per_task > 1 ) THEN
1874	DO i = 1, threads_per_task-1
1875	!$acc parallel present( sums_l )
1876	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
1877	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
1878	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
1879	!$acc end parallel
1880	IF ( ocean ) THEN
1881	!$acc parallel present( sums_l )
1882	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
1883	!$acc end parallel
1884	ENDIF
1885	IF ( humidity ) THEN
1886	!$acc parallel present( sums_l )
1887	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
1888	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
1889	!$acc end parallel
1890	IF ( cloud_physics ) THEN
1891	!$acc parallel present( sums_l )
1892	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
1893	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
1894	!$acc end parallel
1895	ENDIF
1896	ENDIF
1897	IF ( passive_scalar ) THEN
1898	!$acc parallel present( sums_l )
1899	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
1900	!$acc end parallel
1901	ENDIF
1902	ENDDO
1903	ENDIF
1904
1905	#if defined( __parallel )
1906	!
1907	!-- Compute total sum from local sums
1908	!$acc update host( sums_l )
1909	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1910	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
1911	MPI_SUM, comm2d, ierr )
1912	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1913	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
1914	MPI_SUM, comm2d, ierr )
1915	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1916	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
1917	MPI_SUM, comm2d, ierr )
1918	IF ( ocean ) THEN
1919	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1920	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
1921	MPI_REAL, MPI_SUM, comm2d, ierr )
1922	ENDIF
1923	IF ( humidity ) THEN
1924	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1925	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
1926	MPI_REAL, MPI_SUM, comm2d, ierr )
1927	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1928	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
1929	MPI_REAL, MPI_SUM, comm2d, ierr )
1930	IF ( cloud_physics ) THEN
1931	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1932	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
1933	MPI_REAL, MPI_SUM, comm2d, ierr )
1934	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1935	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
1936	MPI_REAL, MPI_SUM, comm2d, ierr )
1937	ENDIF
1938	ENDIF
1939
1940	IF ( passive_scalar ) THEN
1941	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1942	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
1943	MPI_REAL, MPI_SUM, comm2d, ierr )
1944	ENDIF
1945	!$acc update device( sums )
1946	#else
1947	!$acc parallel present( sums, sums_l )
1948	sums(:,1) = sums_l(:,1,0)
1949	sums(:,2) = sums_l(:,2,0)
1950	sums(:,4) = sums_l(:,4,0)
1951	!$acc end parallel
1952	IF ( ocean ) THEN
1953	!$acc parallel present( sums, sums_l )
1954	sums(:,23) = sums_l(:,23,0)
1955	!$acc end parallel
1956	ENDIF
1957	IF ( humidity ) THEN
1958	!$acc parallel present( sums, sums_l )
1959	sums(:,44) = sums_l(:,44,0)
1960	sums(:,41) = sums_l(:,41,0)
1961	!$acc end parallel
1962	IF ( cloud_physics ) THEN
1963	!$acc parallel present( sums, sums_l )
1964	sums(:,42) = sums_l(:,42,0)
1965	sums(:,43) = sums_l(:,43,0)
1966	!$acc end parallel
1967	ENDIF
1968	ENDIF
1969	IF ( passive_scalar ) THEN
1970	!$acc parallel present( sums, sums_l )
1971	sums(:,41) = sums_l(:,41,0)
1972	!$acc end parallel
1973	ENDIF
1974	#endif
1975
1976	!
1977	!-- Final values are obtained by division by the total number of grid points
1978	!-- used for summation. After that store profiles.
1979	!$acc parallel present( hom, ngp_2dh, ngp_2dh_s_inner, sums )
1980	sums(:,1) = sums(:,1) / ngp_2dh(sr)
1981	sums(:,2) = sums(:,2) / ngp_2dh(sr)
1982	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
1983	hom(:,1,1,sr) = sums(:,1) ! u
1984	hom(:,1,2,sr) = sums(:,2) ! v
1985	hom(:,1,4,sr) = sums(:,4) ! pt
1986	!$acc end parallel
1987
1988	!
1989	!-- Salinity
1990	IF ( ocean ) THEN
1991	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
1992	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
1993	hom(:,1,23,sr) = sums(:,23) ! sa
1994	!$acc end parallel
1995	ENDIF
1996
1997	!
1998	!-- Humidity and cloud parameters
1999	IF ( humidity ) THEN
2000	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
2001	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
2002	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
2003	hom(:,1,44,sr) = sums(:,44) ! vpt
2004	hom(:,1,41,sr) = sums(:,41) ! qv (q)
2005	!$acc end parallel
2006	IF ( cloud_physics ) THEN
2007	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
2008	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
2009	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
2010	hom(:,1,42,sr) = sums(:,42) ! qv
2011	hom(:,1,43,sr) = sums(:,43) ! pt
2012	!$acc end parallel
2013	ENDIF
2014	ENDIF
2015
2016	!
2017	!-- Passive scalar
2018	IF ( passive_scalar ) THEN
2019	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
2020	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
2021	hom(:,1,41,sr) = sums(:,41) ! s (q)
2022	!$acc end parallel
2023	ENDIF
2024
2025	!
2026	!-- Horizontally averaged profiles of the remaining prognostic variables,
2027	!-- variances, the total and the perturbation energy (single values in last
2028	!-- column of sums_l) and some diagnostic quantities.
2029	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
2030	!-- ---- speaking the following k-loop would have to be split up and
2031	!-- rearranged according to the staggered grid.
2032	!-- However, this implies no error since staggered velocity components
2033	!-- are zero at the walls and inside buildings.
2034	tn = 0
2035	#if defined( __intel_openmp_bug )
2036	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
2037	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
2038	tn = omp_get_thread_num()
2039	#else
2040	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
2041	!$ tn = omp_get_thread_num()
2042	#endif
2043	!$OMP DO
2044	!$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 )
2045	DO k = nzb, nzt+1
2046	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5, s6, s7 )
2047	DO i = nxl, nxr
2048	DO j = nys, nyn
2049	!
2050	!-- Prognostic and diagnostic variables
2051	s1 = s1 + w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2052	s2 = s2 + e(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2053	s3 = s3 + km(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2054	s4 = s4 + kh(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2055	s5 = s5 + p(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2056	s6 = s6 + ( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr) * &
2057	rflags_invers(j,i,k+1)
2058	!
2059	!-- Higher moments
2060	!-- (Computation of the skewness of w further below)
2061	s7 = s7 + w(k,j,i)*3 rmask(j,i,sr) * rflags_invers(j,i,k+1)
2062	ENDDO
2063	ENDDO
2064	sums_l(k,3,tn) = s1
2065	sums_l(k,8,tn) = s2
2066	sums_l(k,9,tn) = s3
2067	sums_l(k,10,tn) = s4
2068	sums_l(k,40,tn) = s5
2069	sums_l(k,33,tn) = s6
2070	sums_l(k,38,tn) = s7
2071	ENDDO
2072	!$acc end parallel loop
2073
2074	IF ( humidity ) THEN
2075	!$OMP DO
2076	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l ) create( s1 )
2077	DO k = nzb, nzt+1
2078	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2079	DO i = nxl, nxr
2080	DO j = nys, nyn
2081	s1 = s1 + ( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr) * &
2082	rflags_invers(j,i,k+1)
2083	ENDDO
2084	ENDDO
2085	sums_l(k,70,tn) = s1
2086	ENDDO
2087	!$acc end parallel loop
2088	ENDIF
2089
2090	!
2091	!-- Total and perturbation energy for the total domain (being
2092	!-- collected in the last column of sums_l).
2093	!$OMP DO
2094	!$acc parallel loop collapse(3) present( rflags_invers, rmask, u, v, w ) reduction(+:s1)
2095	DO i = nxl, nxr
2096	DO j = nys, nyn
2097	DO k = nzb, nzt+1
2098	s1 = s1 + 0.5_wp * &
2099	( u(k,j,i)2 + v(k,j,i)2 + w(k,j,i)*2 ) &
2100	rmask(j,i,sr) * rflags_invers(j,i,k+1)
2101	ENDDO
2102	ENDDO
2103	ENDDO
2104	!$acc end parallel loop
2105	!$acc parallel present( sums_l )
2106	sums_l(nzb+4,pr_palm,tn) = s1
2107	!$acc end parallel
2108
2109	!$OMP DO
2110	!$acc parallel present( rmask, sums_l, us, usws, vsws, ts ) create( s1, s2, s3, s4 )
2111	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
2112	DO i = nxl, nxr
2113	DO j = nys, nyn
2114	!
2115	!-- 2D-arrays (being collected in the last column of sums_l)
2116	s1 = s1 + us(j,i) * rmask(j,i,sr)
2117	s2 = s2 + usws(j,i) * rmask(j,i,sr)
2118	s3 = s3 + vsws(j,i) * rmask(j,i,sr)
2119	s4 = s4 + ts(j,i) * rmask(j,i,sr)
2120	ENDDO
2121	ENDDO
2122	sums_l(nzb,pr_palm,tn) = s1
2123	sums_l(nzb+1,pr_palm,tn) = s2
2124	sums_l(nzb+2,pr_palm,tn) = s3
2125	sums_l(nzb+3,pr_palm,tn) = s4
2126	!$acc end parallel
2127
2128	IF ( humidity ) THEN
2129	!$acc parallel present( qs, rmask, sums_l ) create( s1 )
2130	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2131	DO i = nxl, nxr
2132	DO j = nys, nyn
2133	s1 = s1 + qs(j,i) * rmask(j,i,sr)
2134	ENDDO
2135	ENDDO
2136	sums_l(nzb+12,pr_palm,tn) = s1
2137	!$acc end parallel
2138	ENDIF
2139
2140	!
2141	!-- Computation of statistics when ws-scheme is not used. Else these
2142	!-- quantities are evaluated in the advection routines.
2143	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
2144
2145	!$OMP DO
2146	!$acc parallel loop gang present( u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3, s4, ust2, vst2, w2 )
2147	DO k = nzb, nzt+1
2148	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
2149	DO i = nxl, nxr
2150	DO j = nys, nyn
2151	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
2152	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
2153	w2 = w(k,j,i)**2
2154
2155	s1 = s1 + ust2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2156	s2 = s2 + vst2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2157	s3 = s3 + w2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2158	!
2159	!-- Perturbation energy
2160	s4 = s4 + 0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * &
2161	rflags_invers(j,i,k+1)
2162	ENDDO
2163	ENDDO
2164	sums_l(k,30,tn) = s1
2165	sums_l(k,31,tn) = s2
2166	sums_l(k,32,tn) = s3
2167	sums_l(k,34,tn) = s4
2168	ENDDO
2169	!$acc end parallel loop
2170	!
2171	!-- Total perturbation TKE
2172	!$OMP DO
2173	!$acc parallel present( sums_l ) create( s1 )
2174	!$acc loop reduction( +: s1 )
2175	DO k = nzb, nzt+1
2176	s1 = s1 + sums_l(k,34,tn)
2177	ENDDO
2178	sums_l(nzb+5,pr_palm,tn) = s1
2179	!$acc end parallel
2180
2181	ENDIF
2182
2183	!
2184	!-- Horizontally averaged profiles of the vertical fluxes
2185
2186	!
2187	!-- Subgridscale fluxes.
2188	!-- WARNING: If a Prandtl-layer is used (k=nzb for flat terrain), the fluxes
2189	!-- ------- should be calculated there in a different way. This is done
2190	!-- in the next loop further below, where results from this loop are
2191	!-- overwritten. However, THIS WORKS IN CASE OF FLAT TERRAIN ONLY!
2192	!-- The non-flat case still has to be handled.
2193	!-- NOTE: for simplicity, nzb_s_inner is used below, although
2194	!-- ---- strictly speaking the following k-loop would have to be
2195	!-- split up according to the staggered grid.
2196	!-- However, this implies no error since staggered velocity
2197	!-- components are zero at the walls and inside buildings.
2198	!$OMP DO
2199	!$acc parallel loop gang present( ddzu, kh, km, pt, u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
2200	DO k = nzb, nzt_diff
2201	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2202	DO i = nxl, nxr
2203	DO j = nys, nyn
2204
2205	!
2206	!-- Momentum flux w"u"
2207	s1 = s1 - 0.25_wp * ( &
2208	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
2209	) * ( &
2210	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
2211	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
2212	) &
2213	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2214	!
2215	!-- Momentum flux w"v"
2216	s2 = s2 - 0.25_wp * ( &
2217	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
2218	) * ( &
2219	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
2220	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
2221	) &
2222	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2223	!
2224	!-- Heat flux w"pt"
2225	s3 = s3 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2226	* ( pt(k+1,j,i) - pt(k,j,i) ) &
2227	* ddzu(k+1) * rmask(j,i,sr) &
2228	* rflags_invers(j,i,k+1)
2229	ENDDO
2230	ENDDO
2231	sums_l(k,12,tn) = s1
2232	sums_l(k,14,tn) = s2
2233	sums_l(k,16,tn) = s3
2234	ENDDO
2235	!$acc end parallel loop
2236
2237	!
2238	!-- Salinity flux w"sa"
2239	IF ( ocean ) THEN
2240	!$acc parallel loop gang present( ddzu, kh, sa, rflags_invers, rmask, sums_l ) create( s1 )
2241	DO k = nzb, nzt_diff
2242	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2243	DO i = nxl, nxr
2244	DO j = nys, nyn
2245	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2246	* ( sa(k+1,j,i) - sa(k,j,i) ) &
2247	* ddzu(k+1) * rmask(j,i,sr) &
2248	* rflags_invers(j,i,k+1)
2249	ENDDO
2250	ENDDO
2251	sums_l(k,65,tn) = s1
2252	ENDDO
2253	!$acc end parallel loop
2254	ENDIF
2255
2256	!
2257	!-- Buoyancy flux, water flux (humidity flux) w"q"
2258	IF ( humidity ) THEN
2259
2260	!$acc parallel loop gang present( ddzu, kh, q, vpt, rflags_invers, rmask, sums_l ) create( s1, s2 )
2261	DO k = nzb, nzt_diff
2262	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2263	DO i = nxl, nxr
2264	DO j = nys, nyn
2265	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2266	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
2267	* ddzu(k+1) * rmask(j,i,sr) &
2268	* rflags_invers(j,i,k+1)
2269	s2 = s2 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2270	* ( q(k+1,j,i) - q(k,j,i) ) &
2271	* ddzu(k+1) * rmask(j,i,sr) &
2272	* rflags_invers(j,i,k+1)
2273	ENDDO
2274	ENDDO
2275	sums_l(k,45,tn) = s1
2276	sums_l(k,48,tn) = s2
2277	ENDDO
2278	!$acc end parallel loop
2279
2280	IF ( cloud_physics ) THEN
2281
2282	!$acc parallel loop gang present( ddzu, kh, q, ql, rflags_invers, rmask, sums_l ) create( s1 )
2283	DO k = nzb, nzt_diff
2284	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2285	DO i = nxl, nxr
2286	DO j = nys, nyn
2287	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2288	* ( ( q(k+1,j,i) - ql(k+1,j,i) ) &
2289	- ( q(k,j,i) - ql(k,j,i) ) ) &
2290	* ddzu(k+1) * rmask(j,i,sr) &
2291	* rflags_invers(j,i,k+1)
2292	ENDDO
2293	ENDDO
2294	sums_l(k,51,tn) = s1
2295	ENDDO
2296	!$acc end parallel loop
2297
2298	ENDIF
2299
2300	ENDIF
2301	!
2302	!-- Passive scalar flux
2303	IF ( passive_scalar ) THEN
2304
2305	!$acc parallel loop gang present( ddzu, kh, q, rflags_invers, rmask, sums_l ) create( s1 )
2306	DO k = nzb, nzt_diff
2307	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2308	DO i = nxl, nxr
2309	DO j = nys, nyn
2310	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2311	* ( q(k+1,j,i) - q(k,j,i) ) &
2312	* ddzu(k+1) * rmask(j,i,sr) &
2313	* rflags_invers(j,i,k+1)
2314	ENDDO
2315	ENDDO
2316	sums_l(k,48,tn) = s1
2317	ENDDO
2318	!$acc end parallel loop
2319
2320	ENDIF
2321
2322	IF ( use_surface_fluxes ) THEN
2323
2324	!$OMP DO
2325	!$acc parallel present( rmask, shf, sums_l, usws, vsws ) create( s1, s2, s3, s4, s5 )
2326	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
2327	DO i = nxl, nxr
2328	DO j = nys, nyn
2329	!
2330	!-- Subgridscale fluxes in the Prandtl layer
2331	s1 = s1 + usws(j,i) * rmask(j,i,sr) ! w"u"
2332	s2 = s2 + vsws(j,i) * rmask(j,i,sr) ! w"v"
2333	s3 = s3 + shf(j,i) * rmask(j,i,sr) ! w"pt"
2334	s4 = s4 + 0.0_wp * rmask(j,i,sr) ! u"pt"
2335	s5 = s5 + 0.0_wp * rmask(j,i,sr) ! v"pt"
2336	ENDDO
2337	ENDDO
2338	sums_l(nzb,12,tn) = s1
2339	sums_l(nzb,14,tn) = s2
2340	sums_l(nzb,16,tn) = s3
2341	sums_l(nzb,58,tn) = s4
2342	sums_l(nzb,61,tn) = s5
2343	!$acc end parallel
2344
2345	IF ( ocean ) THEN
2346
2347	!$OMP DO
2348	!$acc parallel present( rmask, saswsb, sums_l ) create( s1 )
2349	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2350	DO i = nxl, nxr
2351	DO j = nys, nyn
2352	s1 = s1 + saswsb(j,i) * rmask(j,i,sr) ! w"sa"
2353	ENDDO
2354	ENDDO
2355	sums_l(nzb,65,tn) = s1
2356	!$acc end parallel
2357
2358	ENDIF
2359
2360	IF ( humidity ) THEN
2361
2362	!$OMP DO
2363	!$acc parallel present( pt, q, qsws, rmask, shf, sums_l ) create( s1, s2 )
2364	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2365	DO i = nxl, nxr
2366	DO j = nys, nyn
2367	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2368	s2 = s2 + ( ( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * shf(j,i) &
2369	+ 0.61_wp * pt(nzb,j,i) * qsws(j,i) )
2370	ENDDO
2371	ENDDO
2372	sums_l(nzb,48,tn) = s1
2373	sums_l(nzb,45,tn) = s2
2374	!$acc end parallel
2375
2376	IF ( cloud_droplets ) THEN
2377
2378	!$OMP DO
2379	!$acc parallel present( pt, q, ql, qsws, rmask, shf, sums_l ) create( s1 )
2380	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2381	DO i = nxl, nxr
2382	DO j = nys, nyn
2383	s1 = s1 + ( ( 1.0_wp + &
2384	0.61_wp * q(nzb,j,i) - ql(nzb,j,i) ) * &
2385	shf(j,i) + 0.61_wp * pt(nzb,j,i) * qsws(j,i) )
2386	ENDDO
2387	ENDDO
2388	sums_l(nzb,45,tn) = s1
2389	!$acc end parallel
2390
2391	ENDIF
2392
2393	IF ( cloud_physics ) THEN
2394
2395	!$OMP DO
2396	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
2397	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2398	DO i = nxl, nxr
2399	DO j = nys, nyn
2400	!
2401	!-- Formula does not work if ql(nzb) /= 0.0
2402	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2403	ENDDO
2404	ENDDO
2405	sums_l(nzb,51,tn) = s1
2406	!$acc end parallel
2407
2408	ENDIF
2409
2410	ENDIF
2411
2412	IF ( passive_scalar ) THEN
2413
2414	!$OMP DO
2415	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
2416	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2417	DO i = nxl, nxr
2418	DO j = nys, nyn
2419	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2420	ENDDO
2421	ENDDO
2422	sums_l(nzb,48,tn) = s1
2423	!$acc end parallel
2424
2425	ENDIF
2426
2427	ENDIF
2428
2429	!
2430	!-- Subgridscale fluxes at the top surface
2431	IF ( use_top_fluxes ) THEN
2432
2433	!$OMP DO
2434	!$acc parallel present( rmask, sums_l, tswst, uswst, vswst ) create( s1, s2, s3, s4, s5 )
2435	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
2436	DO i = nxl, nxr
2437	DO j = nys, nyn
2438	s1 = s1 + uswst(j,i) * rmask(j,i,sr) ! w"u"
2439	s2 = s2 + vswst(j,i) * rmask(j,i,sr) ! w"v"
2440	s3 = s3 + tswst(j,i) * rmask(j,i,sr) ! w"pt"
2441	s4 = s4 + 0.0_wp * rmask(j,i,sr) ! u"pt"
2442	s5 = s5 + 0.0_wp * rmask(j,i,sr) ! v"pt"
2443	ENDDO
2444	ENDDO
2445	sums_l(nzt:nzt+1,12,tn) = s1
2446	sums_l(nzt:nzt+1,14,tn) = s2
2447	sums_l(nzt:nzt+1,16,tn) = s3
2448	sums_l(nzt:nzt+1,58,tn) = s4
2449	sums_l(nzt:nzt+1,61,tn) = s5
2450	!$acc end parallel
2451
2452	IF ( ocean ) THEN
2453
2454	!$OMP DO
2455	!$acc parallel present( rmask, saswst, sums_l ) create( s1 )
2456	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2457	DO i = nxl, nxr
2458	DO j = nys, nyn
2459	s1 = s1 + saswst(j,i) * rmask(j,i,sr) ! w"sa"
2460	ENDDO
2461	ENDDO
2462	sums_l(nzt,65,tn) = s1
2463	!$acc end parallel
2464
2465	ENDIF
2466
2467	IF ( humidity ) THEN
2468
2469	!$OMP DO
2470	!$acc parallel present( pt, q, qswst, rmask, tswst, sums_l ) create( s1, s2 )
2471	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2472	DO i = nxl, nxr
2473	DO j = nys, nyn
2474	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2475	s2 = s2 + ( ( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * tswst(j,i) +&
2476	0.61_wp * pt(nzt,j,i) * qswst(j,i) )
2477	ENDDO
2478	ENDDO
2479	sums_l(nzt,48,tn) = s1
2480	sums_l(nzt,45,tn) = s2
2481	!$acc end parallel
2482
2483	IF ( cloud_droplets ) THEN
2484
2485	!$OMP DO
2486	!$acc parallel present( pt, q, ql, qswst, rmask, tswst, sums_l ) create( s1 )
2487	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2488	DO i = nxl, nxr
2489	DO j = nys, nyn
2490	s1 = s1 + ( ( 1.0_wp + &
2491	0.61_wp * q(nzt,j,i) - ql(nzt,j,i) ) * &
2492	tswst(j,i) + &
2493	0.61_wp * pt(nzt,j,i) * qswst(j,i) )
2494	ENDDO
2495	ENDDO
2496	sums_l(nzt,45,tn) = s1
2497	!$acc end parallel
2498
2499	ENDIF
2500
2501	IF ( cloud_physics ) THEN
2502
2503	!$OMP DO
2504	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
2505	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2506	DO i = nxl, nxr
2507	DO j = nys, nyn
2508	!
2509	!-- Formula does not work if ql(nzb) /= 0.0
2510	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2511	ENDDO
2512	ENDDO
2513	sums_l(nzt,51,tn) = s1
2514	!$acc end parallel
2515
2516	ENDIF
2517
2518	ENDIF
2519
2520	IF ( passive_scalar ) THEN
2521
2522	!$OMP DO
2523	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
2524	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2525	DO i = nxl, nxr
2526	DO j = nys, nyn
2527	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2528	ENDDO
2529	ENDDO
2530	sums_l(nzt,48,tn) = s1
2531	!$acc end parallel
2532
2533	ENDIF
2534
2535	ENDIF
2536
2537	!
2538	!-- Resolved fluxes (can be computed for all horizontal points)
2539	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
2540	!-- ---- speaking the following k-loop would have to be split up and
2541	!-- rearranged according to the staggered grid.
2542	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2, s3 )
2543	DO k = nzb, nzt_diff
2544	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2545	DO i = nxl, nxr
2546	DO j = nys, nyn
2547	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
2548	u(k+1,j,i) - hom(k+1,1,1,sr) )
2549	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
2550	v(k+1,j,i) - hom(k+1,1,2,sr) )
2551	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
2552	pt(k+1,j,i) - hom(k+1,1,4,sr) )
2553	!
2554	!-- Higher moments
2555	s1 = s1 + pts * w(k,j,i)*2 rmask(j,i,sr) * rflags_invers(j,i,k+1)
2556	s2 = s2 + pts*2 w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2557	!
2558	!-- Energy flux we (has to be adjusted?)
2559	s3 = s3 + w(k,j,i) * 0.5_wp * ( ust2 + vst2 + w(k,j,i)**2 )&
2560	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2561	ENDDO
2562	ENDDO
2563	sums_l(k,35,tn) = s1
2564	sums_l(k,36,tn) = s2
2565	sums_l(k,37,tn) = s3
2566	ENDDO
2567	!$acc end parallel loop
2568
2569	!
2570	!-- Salinity flux and density (density does not belong to here,
2571	!-- but so far there is no other suitable place to calculate)
2572	IF ( ocean ) THEN
2573
2574	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2575
2576	!$acc parallel loop gang present( hom, rflags_invers, rmask, sa, sums_l, w ) create( s1 )
2577	DO k = nzb, nzt_diff
2578	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2579	DO i = nxl, nxr
2580	DO j = nys, nyn
2581	s1 = s1 + 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
2582	sa(k+1,j,i) - hom(k+1,1,23,sr) ) &
2583	* w(k,j,i) * rmask(j,i,sr) &
2584	* rflags_invers(j,i,k+1)
2585	ENDDO
2586	ENDDO
2587	sums_l(k,66,tn) = s1
2588	ENDDO
2589	!$acc end parallel loop
2590
2591	ENDIF
2592
2593	!$acc parallel loop gang present( rflags_invers, rho, prho, rmask, sums_l ) create( s1, s2 )
2594	DO k = nzb, nzt_diff
2595	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2596	DO i = nxl, nxr
2597	DO j = nys, nyn
2598	s1 = s1 + rho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2599	s2 = s2 + prho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2600	ENDDO
2601	ENDDO
2602	sums_l(k,64,tn) = s1
2603	sums_l(k,71,tn) = s2
2604	ENDDO
2605	!$acc end parallel loop
2606
2607	ENDIF
2608
2609	!
2610	!-- Buoyancy flux, water flux, humidity flux, liquid water
2611	!-- content, rain drop concentration and rain water content
2612	IF ( humidity ) THEN
2613
2614	IF ( cloud_physics .OR. cloud_droplets ) THEN
2615
2616	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
2617	DO k = nzb, nzt_diff
2618	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2619	DO i = nxl, nxr
2620	DO j = nys, nyn
2621	s1 = s1 + 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
2622	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) * &
2623	w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2624	ENDDO
2625	ENDDO
2626	sums_l(k,46,tn) = s1
2627	ENDDO
2628	!$acc end parallel loop
2629
2630	IF ( .NOT. cloud_droplets ) THEN
2631
2632	!$acc parallel loop gang present( hom, q, ql, rflags_invers, rmask, sums_l, w ) create( s1 )
2633	DO k = nzb, nzt_diff
2634	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2635	DO i = nxl, nxr
2636	DO j = nys, nyn
2637	s1 = s1 + 0.5_wp * ( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) + &
2638	( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) ) &
2639	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2640	ENDDO
2641	ENDDO
2642	sums_l(k,52,tn) = s1
2643	ENDDO
2644	!$acc end parallel loop
2645
2646	IF ( icloud_scheme == 0 ) THEN
2647
2648	!$acc parallel loop gang present( qc, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
2649	DO k = nzb, nzt_diff
2650	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2651	DO i = nxl, nxr
2652	DO j = nys, nyn
2653	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2654	s2 = s2 + qc(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2655	ENDDO
2656	ENDDO
2657	sums_l(k,54,tn) = s1
2658	sums_l(k,75,tn) = s2
2659	ENDDO
2660	!$acc end parallel loop
2661
2662	IF ( precipitation ) THEN
2663
2664	!$acc parallel loop gang present( nr, qr, prr, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
2665	DO k = nzb, nzt_diff
2666	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2667	DO i = nxl, nxr
2668	DO j = nys, nyn
2669	s1 = s1 + nr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2670	s2 = s2 + qr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2671	s3 = s3 + prr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2672	ENDDO
2673	ENDDO
2674	sums_l(k,73,tn) = s1
2675	sums_l(k,74,tn) = s2
2676	sums_l(k,76,tn) = s3
2677	ENDDO
2678	!$acc end parallel loop
2679
2680	ENDIF
2681
2682	ELSE
2683
2684	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
2685	DO k = nzb, nzt_diff
2686	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2687	DO i = nxl, nxr
2688	DO j = nys, nyn
2689	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2690	ENDDO
2691	ENDDO
2692	sums_l(k,54,tn) = s1
2693	ENDDO
2694	!$acc end parallel loop
2695
2696	ENDIF
2697
2698	ELSE
2699
2700	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
2701	DO k = nzb, nzt_diff
2702	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2703	DO i = nxl, nxr
2704	DO j = nys, nyn
2705	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2706	ENDDO
2707	ENDDO
2708	sums_l(k,54,tn) = s1
2709	ENDDO
2710	!$acc end parallel loop
2711
2712	ENDIF
2713
2714	ELSE
2715
2716	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2717
2718	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
2719	DO k = nzb, nzt_diff
2720	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2721	DO i = nxl, nxr
2722	DO j = nys, nyn
2723	s1 = s1 + 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
2724	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) &
2725	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2726	ENDDO
2727	ENDDO
2728	sums_l(k,46,tn) = s1
2729	ENDDO
2730	!$acc end parallel loop
2731
2732	ELSEIF ( ws_scheme_sca .AND. sr == 0 ) THEN
2733
2734	!$acc parallel loop present( hom, sums_l )
2735	DO k = nzb, nzt_diff
2736	sums_l(k,46,tn) = ( 1.0_wp + 0.61_wp * hom(k,1,41,sr) ) * sums_l(k,17,tn) + &
2737	0.61_wp * hom(k,1,4,sr) * sums_l(k,49,tn)
2738	ENDDO
2739	!$acc end parallel loop
2740
2741	ENDIF
2742
2743	ENDIF
2744
2745	ENDIF
2746	!
2747	!-- Passive scalar flux
2748	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca .OR. sr /= 0 ) ) THEN
2749
2750	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
2751	DO k = nzb, nzt_diff
2752	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2753	DO i = nxl, nxr
2754	DO j = nys, nyn
2755	s1 = s1 + 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
2756	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
2757	* w(k,j,i) * rmask(j,i,sr) &
2758	* rflags_invers(j,i,k+1)
2759	ENDDO
2760	ENDDO
2761	sums_l(k,49,tn) = s1
2762	ENDDO
2763	!$acc end parallel loop
2764
2765	ENDIF
2766
2767	!
2768	!-- For speed optimization fluxes which have been computed in part directly
2769	!-- inside the WS advection routines are treated seperatly
2770	!-- Momentum fluxes first:
2771	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
2772
2773	!$OMP DO
2774	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2 )
2775	DO k = nzb, nzt_diff
2776	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2777	DO i = nxl, nxr
2778	DO j = nys, nyn
2779	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
2780	u(k+1,j,i) - hom(k+1,1,1,sr) )
2781	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
2782	v(k+1,j,i) - hom(k+1,1,2,sr) )
2783	!
2784	!-- Momentum flux wu
2785	s1 = s1 + 0.5_wp * ( w(k,j,i-1) + w(k,j,i) ) &
2786	* ust * rmask(j,i,sr) &
2787	* rflags_invers(j,i,k+1)
2788	!
2789	!-- Momentum flux wv
2790	s2 = s2 + 0.5_wp * ( w(k,j-1,i) + w(k,j,i) ) &
2791	* vst * rmask(j,i,sr) &
2792	* rflags_invers(j,i,k+1)
2793	ENDDO
2794	ENDDO
2795	sums_l(k,13,tn) = s1
2796	sums_l(k,15,tn) = s1
2797	ENDDO
2798	!$acc end parallel loop
2799
2800	ENDIF
2801
2802	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2803
2804	!$OMP DO
2805	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, w ) create( s1 )
2806	DO k = nzb, nzt_diff
2807	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2808	DO i = nxl, nxr
2809	DO j = nys, nyn
2810	!
2811	!-- Vertical heat flux
2812	s1 = s1 + 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
2813	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
2814	* w(k,j,i) * rmask(j,i,sr) &
2815	* rflags_invers(j,i,k+1)
2816	ENDDO
2817	ENDDO
2818	sums_l(k,17,tn) = s1
2819	ENDDO
2820	!$acc end parallel loop
2821
2822	IF ( humidity ) THEN
2823
2824	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
2825	DO k = nzb, nzt_diff
2826	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2827	DO i = nxl, nxr
2828	DO j = nys, nyn
2829	s1 = s1 + 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
2830	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
2831	* w(k,j,i) * rmask(j,i,sr) &
2832	* rflags_invers(j,i,k+1)
2833	ENDDO
2834	ENDDO
2835	sums_l(k,49,tn) = s1
2836	ENDDO
2837	!$acc end parallel loop
2838
2839	ENDIF
2840
2841	ENDIF
2842
2843
2844	!
2845	!-- Density at top follows Neumann condition
2846	IF ( ocean ) THEN
2847	!$acc parallel present( sums_l )
2848	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
2849	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
2850	!$acc end parallel
2851	ENDIF
2852
2853	!
2854	!-- Divergence of vertical flux of resolved scale energy and pressure
2855	!-- fluctuations as well as flux of pressure fluctuation itself (68).
2856	!-- First calculate the products, then the divergence.
2857	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
2858	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) THEN
2859
2860	STOP '+++ openACC porting for vertical flux div of resolved scale TKE in flow_statistics is still missing'
2861	sums_ll = 0.0_wp ! local array
2862
2863	!$OMP DO
2864	DO i = nxl, nxr
2865	DO j = nys, nyn
2866	DO k = nzb_s_inner(j,i)+1, nzt
2867
2868	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
2869	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
2870	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
2871	) )**2 &
2872	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
2873	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
2874	) )**2 &
2875	+ w(k,j,i)**2 )
2876
2877	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
2878	* ( p(k,j,i) + p(k+1,j,i) )
2879
2880	ENDDO
2881	ENDDO
2882	ENDDO
2883	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
2884	sums_ll(nzt+1,1) = 0.0_wp
2885	sums_ll(0,2) = 0.0_wp
2886	sums_ll(nzt+1,2) = 0.0_wp
2887
2888	DO k = nzb+1, nzt
2889	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
2890	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
2891	sums_l(k,68,tn) = sums_ll(k,2)
2892	ENDDO
2893	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
2894	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
2895	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
2896
2897	ENDIF
2898
2899	!
2900	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
2901	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) THEN
2902
2903	STOP '+++ openACC porting for vertical flux div of SGS TKE in flow_statistics is still missing'
2904	!$OMP DO
2905	DO i = nxl, nxr
2906	DO j = nys, nyn
2907	DO k = nzb_s_inner(j,i)+1, nzt
2908
2909	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
2910	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
2911	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
2912	) * ddzw(k)
2913
2914	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
2915	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
2916	)
2917
2918	ENDDO
2919	ENDDO
2920	ENDDO
2921	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
2922	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
2923
2924	ENDIF
2925
2926	!
2927	!-- Horizontal heat fluxes (subgrid, resolved, total).
2928	!-- Do it only, if profiles shall be plotted.
2929	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
2930
2931	STOP '+++ openACC porting for horizontal flux calculation in flow_statistics is still missing'
2932	!$OMP DO
2933	DO i = nxl, nxr
2934	DO j = nys, nyn
2935	DO k = nzb_s_inner(j,i)+1, nzt
2936	!
2937	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
2938	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
2939	( kh(k,j,i) + kh(k,j,i-1) ) &
2940	* ( pt(k,j,i-1) - pt(k,j,i) ) &
2941	* ddx * rmask(j,i,sr)
2942	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
2943	( kh(k,j,i) + kh(k,j-1,i) ) &
2944	* ( pt(k,j-1,i) - pt(k,j,i) ) &
2945	* ddy * rmask(j,i,sr)
2946	!
2947	!-- Resolved horizontal heat fluxes upt, vpt
2948	sums_l(k,59,tn) = sums_l(k,59,tn) + &
2949	( u(k,j,i) - hom(k,1,1,sr) ) * 0.5_wp * &
2950	( pt(k,j,i-1) - hom(k,1,4,sr) + &
2951	pt(k,j,i) - hom(k,1,4,sr) )
2952	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
2953	pt(k,j,i) - hom(k,1,4,sr) )
2954	sums_l(k,62,tn) = sums_l(k,62,tn) + &
2955	( v(k,j,i) - hom(k,1,2,sr) ) * 0.5_wp * &
2956	( pt(k,j-1,i) - hom(k,1,4,sr) + &
2957	pt(k,j,i) - hom(k,1,4,sr) )
2958	ENDDO
2959	ENDDO
2960	ENDDO
2961	!
2962	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
2963	sums_l(nzb,58,tn) = 0.0_wp
2964	sums_l(nzb,59,tn) = 0.0_wp
2965	sums_l(nzb,60,tn) = 0.0_wp
2966	sums_l(nzb,61,tn) = 0.0_wp
2967	sums_l(nzb,62,tn) = 0.0_wp
2968	sums_l(nzb,63,tn) = 0.0_wp
2969
2970	ENDIF
2971
2972	!
2973	!-- Collect current large scale advection and subsidence tendencies for
2974	!-- data output
2975	IF ( large_scale_forcing .AND. ( simulated_time .GT. 0.0_wp ) ) THEN
2976	!
2977	!-- Interpolation in time of LSF_DATA
2978	nt = 1
2979	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
2980	nt = nt + 1
2981	ENDDO
2982	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
2983	nt = nt - 1
2984	ENDIF
2985
2986	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
2987	/ ( time_vert(nt+1)-time_vert(nt) )
2988
2989
2990	DO k = nzb, nzt
2991	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
2992	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
2993	sums_ls_l(k,1) = td_lsa_q(k,nt) &
2994	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
2995	ENDDO
2996
2997	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
2998	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
2999
3000	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
3001
3002	DO k = nzb, nzt
3003	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
3004	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
3005	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
3006	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
3007	ENDDO
3008
3009	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
3010	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
3011
3012	ENDIF
3013
3014	ENDIF
3015
3016
3017	IF ( land_surface ) THEN
3018	!$OMP DO
3019	DO i = nxl, nxr
3020	DO j = nys, nyn
3021	DO k = nzb_soil, nzt_soil
3022	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil(k,j,i) * rmask(j,i,sr)
3023	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil(k,j,i) * rmask(j,i,sr)
3024	ENDDO
3025	ENDDO
3026	ENDDO
3027	ENDIF
3028
3029
3030	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
3031	!$OMP DO
3032	DO i = nxl, nxr
3033	DO j = nys, nyn
3034	DO k = nzb_s_inner(j,i)+1, nzt+1
3035	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_lw_in(k,j,i) * rmask(j,i,sr)
3036	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_lw_out(k,j,i) * rmask(j,i,sr)
3037	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_sw_in(k,j,i) * rmask(j,i,sr)
3038	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_sw_out(k,j,i) * rmask(j,i,sr)
3039	ENDDO
3040	ENDDO
3041	ENDDO
3042	ENDIF
3043
3044	!
3045	!-- Calculate the user-defined profiles
3046	CALL user_statistics( 'profiles', sr, tn )
3047	!$OMP END PARALLEL
3048
3049	!
3050	!-- Summation of thread sums
3051	IF ( threads_per_task > 1 ) THEN
3052	STOP '+++ openACC porting for threads_per_task > 1 in flow_statistics is still missing'
3053	DO i = 1, threads_per_task-1
3054	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
3055	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
3056	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
3057	sums_l(:,45:pr_palm,i)
3058	IF ( max_pr_user > 0 ) THEN
3059	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
3060	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
3061	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
3062	ENDIF
3063	ENDDO
3064	ENDIF
3065
3066	!$acc update host( hom, sums, sums_l )
3067
3068	#if defined( __parallel )
3069
3070	!
3071	!-- Compute total sum from local sums
3072	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
3073	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
3074	MPI_SUM, comm2d, ierr )
3075	IF ( large_scale_forcing ) THEN
3076	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
3077	MPI_REAL, MPI_SUM, comm2d, ierr )
3078	ENDIF
3079	#else
3080	sums = sums_l(:,:,0)
3081	IF ( large_scale_forcing ) THEN
3082	sums(:,81:88) = sums_ls_l
3083	ENDIF
3084	#endif
3085
3086	!
3087	!-- Final values are obtained by division by the total number of grid points
3088	!-- used for summation. After that store profiles.
3089	!-- Profiles:
3090	DO k = nzb, nzt+1
3091	sums(k,3) = sums(k,3) / ngp_2dh(sr)
3092	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
3093	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
3094	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
3095	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
3096	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
3097	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
3098	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
3099	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
3100	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
3101	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
3102	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
3103	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
3104	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
3105	sums(k,89:105) = sums(k,89:105) / ngp_2dh(sr)
3106	sums(k,106:pr_palm-2) = sums(k,106:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
3107	ENDDO
3108
3109	!-- Upstream-parts
3110	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
3111	!-- u* and so on
3112	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
3113	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
3114	!-- above the topography, they are being divided by ngp_2dh(sr)
3115	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
3116	ngp_2dh(sr)
3117	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
3118	ngp_2dh(sr)
3119	!-- eges, e*
3120	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
3121	ngp_3d(sr)
3122	!-- Old and new divergence
3123	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
3124	ngp_3d_inner(sr)
3125
3126	!-- User-defined profiles
3127	IF ( max_pr_user > 0 ) THEN
3128	DO k = nzb, nzt+1
3129	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
3130	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
3131	ngp_2dh_s_inner(k,sr)
3132	ENDDO
3133	ENDIF
3134
3135	!
3136	!-- Collect horizontal average in hom.
3137	!-- Compute deduced averages (e.g. total heat flux)
3138	hom(:,1,3,sr) = sums(:,3) ! w
3139	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
3140	hom(:,1,9,sr) = sums(:,9) ! km
3141	hom(:,1,10,sr) = sums(:,10) ! kh
3142	hom(:,1,11,sr) = sums(:,11) ! l
3143	hom(:,1,12,sr) = sums(:,12) ! w"u"
3144	hom(:,1,13,sr) = sums(:,13) ! wu
3145	hom(:,1,14,sr) = sums(:,14) ! w"v"
3146	hom(:,1,15,sr) = sums(:,15) ! wv
3147	hom(:,1,16,sr) = sums(:,16) ! w"pt"
3148	hom(:,1,17,sr) = sums(:,17) ! wpt
3149	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
3150	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
3151	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
3152	hom(:,1,21,sr) = sums(:,21) ! wptBC
3153	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
3154	! profile 24 is initial profile (sa)
3155	! profiles 25-29 left empty for initial
3156	! profiles
3157	hom(:,1,30,sr) = sums(:,30) ! u*2
3158	hom(:,1,31,sr) = sums(:,31) ! v*2
3159	hom(:,1,32,sr) = sums(:,32) ! w*2
3160	hom(:,1,33,sr) = sums(:,33) ! pt*2
3161	hom(:,1,34,sr) = sums(:,34) ! e*
3162	hom(:,1,35,sr) = sums(:,35) ! w2pt
3163	hom(:,1,36,sr) = sums(:,36) ! wpt2
3164	hom(:,1,37,sr) = sums(:,37) ! we
3165	hom(:,1,38,sr) = sums(:,38) ! w*3
3166	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
3167	hom(:,1,40,sr) = sums(:,40) ! p
3168	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
3169	hom(:,1,46,sr) = sums(:,46) ! wvpt
3170	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
3171	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
3172	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
3173	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
3174	hom(:,1,51,sr) = sums(:,51) ! w"qv"
3175	hom(:,1,52,sr) = sums(:,52) ! wqv
3176	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
3177	hom(:,1,54,sr) = sums(:,54) ! ql
3178	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
3179	hom(:,1,56,sr) = sums(:,56) ! wp/dz
3180	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
3181	hom(:,1,58,sr) = sums(:,58) ! u"pt"
3182	hom(:,1,59,sr) = sums(:,59) ! upt
3183	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
3184	hom(:,1,61,sr) = sums(:,61) ! v"pt"
3185	hom(:,1,62,sr) = sums(:,62) ! vpt
3186	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
3187	hom(:,1,64,sr) = sums(:,64) ! rho
3188	hom(:,1,65,sr) = sums(:,65) ! w"sa"
3189	hom(:,1,66,sr) = sums(:,66) ! wsa
3190	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
3191	hom(:,1,68,sr) = sums(:,68) ! wp
3192	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
3193	hom(:,1,70,sr) = sums(:,70) ! q*2
3194	hom(:,1,71,sr) = sums(:,71) ! prho
3195	hom(:,1,72,sr) = hyp * 1E-4_wp ! hyp in dbar
3196	hom(:,1,73,sr) = sums(:,73) ! nr
3197	hom(:,1,74,sr) = sums(:,74) ! qr
3198	hom(:,1,75,sr) = sums(:,75) ! qc
3199	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
3200	! 77 is initial density profile
3201	hom(:,1,78,sr) = ug ! ug
3202	hom(:,1,79,sr) = vg ! vg
3203	hom(:,1,80,sr) = w_subs ! w_subs
3204
3205	IF ( large_scale_forcing ) THEN
3206	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
3207	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
3208	IF ( use_subsidence_tendencies ) THEN
3209	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
3210	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
3211	ELSE
3212	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
3213	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
3214	ENDIF
3215	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
3216	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
3217	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
3218	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
3219	END IF
3220
3221	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
3222	! upstream-parts u_x, u_y, u_z, v_x,
3223	! v_y, usw. (in last but one profile)
3224	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
3225	! u, w'u', w'v', t (in last profile)
3226
3227	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
3228	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
3229	sums(:,pr_palm+1:pr_palm+max_pr_user)
3230	ENDIF
3231
3232	!
3233	!-- Determine the boundary layer height using two different schemes.
3234	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
3235	!-- first relative minimum (maximum) of the total heat flux.
3236	!-- The corresponding height is assumed as the boundary layer height, if it
3237	!-- is less than 1.5 times the height where the heat flux becomes negative
3238	!-- (positive) for the first time.
3239	z_i(1) = 0.0_wp
3240	first = .TRUE.
3241
3242	IF ( ocean ) THEN
3243	DO k = nzt, nzb+1, -1
3244	IF ( first .AND. hom(k,1,18,sr) < 0.0_wp &
3245	.AND. abs(hom(k,1,18,sr)) > 1.0E-8_wp ) THEN
3246	first = .FALSE.
3247	height = zw(k)
3248	ENDIF
3249	IF ( hom(k,1,18,sr) < 0.0_wp .AND. &
3250	abs(hom(k,1,18,sr)) > 1.0E-8_wp .AND. &
3251	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
3252	IF ( zw(k) < 1.5_wp * height ) THEN
3253	z_i(1) = zw(k)
3254	ELSE
3255	z_i(1) = height
3256	ENDIF
3257	EXIT
3258	ENDIF
3259	ENDDO
3260	ELSE
3261	DO k = nzb, nzt-1
3262	IF ( first .AND. hom(k,1,18,sr) < 0.0_wp &
3263	.AND. abs(hom(k,1,18,sr)) > 1.0E-8_wp ) THEN
3264	first = .FALSE.
3265	height = zw(k)
3266	ENDIF
3267	IF ( hom(k,1,18,sr) < 0.0 .AND. &
3268	abs(hom(k,1,18,sr)) > 1.0E-8_wp .AND. &
3269	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
3270	IF ( zw(k) < 1.5_wp * height ) THEN
3271	z_i(1) = zw(k)
3272	ELSE
3273	z_i(1) = height
3274	ENDIF
3275	EXIT
3276	ENDIF
3277	ENDDO
3278	ENDIF
3279
3280	!
3281	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
3282	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
3283	!-- maximal local temperature gradient: starting from the second (the last
3284	!-- but one) vertical gridpoint, the local gradient must be at least
3285	!-- 0.2K/100m and greater than the next four gradients.
3286	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
3287	!-- ocean case!
3288	z_i(2) = 0.0_wp
3289	DO k = nzb+1, nzt+1
3290	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
3291	ENDDO
3292	dptdz_threshold = 0.2_wp / 100.0_wp
3293
3294	IF ( ocean ) THEN
3295	DO k = nzt+1, nzb+5, -1
3296	IF ( dptdz(k) > dptdz_threshold .AND. &
3297	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
3298	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
3299	z_i(2) = zw(k-1)
3300	EXIT
3301	ENDIF
3302	ENDDO
3303	ELSE
3304	DO k = nzb+1, nzt-3
3305	IF ( dptdz(k) > dptdz_threshold .AND. &
3306	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
3307	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
3308	z_i(2) = zw(k-1)
3309	EXIT
3310	ENDIF
3311	ENDDO
3312	ENDIF
3313
3314	hom(nzb+6,1,pr_palm,sr) = z_i(1)
3315	hom(nzb+7,1,pr_palm,sr) = z_i(2)
3316
3317	!
3318	!-- Computation of both the characteristic vertical velocity and
3319	!-- the characteristic convective boundary layer temperature.
3320	!-- The horizontal average at nzb+1 is input for the average temperature.
3321	IF ( hom(nzb,1,18,sr) > 0.0_wp .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8_wp &
3322	.AND. z_i(1) /= 0.0_wp ) THEN
3323	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
3324	hom(nzb,1,18,sr) * &
3325	ABS( z_i(1) ) )**0.333333333_wp
3326	!-- so far this only works if Prandtl layer is used
3327	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
3328	ELSE
3329	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
3330	hom(nzb+11,1,pr_palm,sr) = 0.0_wp
3331	ENDIF
3332
3333	!
3334	!-- Collect the time series quantities
3335	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
3336	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
3337	ts_value(3,sr) = dt_3d
3338	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
3339	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
3340	ts_value(6,sr) = u_max
3341	ts_value(7,sr) = v_max
3342	ts_value(8,sr) = w_max
3343	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
3344	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
3345	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
3346	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
3347	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
3348	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
3349	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
3350	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
3351	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
3352	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
3353	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
3354	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
3355	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
3356
3357	IF ( ts_value(5,sr) /= 0.0_wp ) THEN
3358	ts_value(22,sr) = ts_value(4,sr)**2_wp / &
3359	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
3360	ELSE
3361	ts_value(22,sr) = 10000.0_wp
3362	ENDIF
3363
3364	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
3365
3366	!
3367	!-- Collect land surface model timeseries
3368	IF ( land_surface ) THEN
3369	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf_eb
3370	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! shf_eb
3371	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_eb
3372	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_liq_eb
3373	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! qsws_soil_eb
3374	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! qsws_veg_eb
3375	ts_value(dots_soil+6,sr) = hom(nzb,1,99,sr) ! r_a
3376	ts_value(dots_soil+7,sr) = hom(nzb,1,100,sr) ! r_s
3377	ENDIF
3378	!
3379	!-- Collect radiation model timeseries
3380	IF ( radiation ) THEN
3381	ts_value(dots_rad,sr) = hom(nzb,1,101,sr) ! rad_net
3382	ts_value(dots_rad+1,sr) = hom(nzb,1,102,sr) ! rad_lw_in
3383	ts_value(dots_rad+2,sr) = hom(nzb,1,103,sr) ! rad_lw_out
3384	ts_value(dots_rad+3,sr) = hom(nzb,1,104,sr) ! rad_lw_in
3385	ts_value(dots_rad+4,sr) = hom(nzb,1,105,sr) ! rad_lw_out
3386
3387	#if defined ( __rrtmg )
3388	IF ( radiation_scheme == 'rrtmg' ) THEN
3389	ts_value(dots_rad+5,sr) = hom(nzb,1,106,sr) ! rrtm_aldif
3390	ts_value(dots_rad+6,sr) = hom(nzb,1,107,sr) ! rrtm_aldir
3391	ts_value(dots_rad+7,sr) = hom(nzb,1,108,sr) ! rrtm_asdif
3392	ts_value(dots_rad+8,sr) = hom(nzb,1,109,sr) ! rrtm_asdir
3393	ENDIF
3394	#endif
3395
3396	ENDIF
3397
3398	!
3399	!-- Calculate additional statistics provided by the user interface
3400	CALL user_statistics( 'time_series', sr, 0 )
3401
3402	ENDDO ! loop of the subregions
3403
3404	!$acc end data
3405
3406	!
3407	!-- If required, sum up horizontal averages for subsequent time averaging
3408	IF ( do_sum ) THEN
3409	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
3410	hom_sum = hom_sum + hom(:,1,:,:)
3411	average_count_pr = average_count_pr + 1
3412	do_sum = .FALSE.
3413	ENDIF
3414
3415	!
3416	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
3417	!-- This flag is reset after each time step in time_integration.
3418	flow_statistics_called = .TRUE.
3419
3420	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
3421
3422
3423	END SUBROUTINE flow_statistics
3424	#endif

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