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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1576

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

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