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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1806

Last change on this file since 1806 was 1784, checked in by raasch, 9 years ago
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1	!> @file flow_statistics.f90
2	!--------------------------------------------------------------------------------!
3	! This file is part of PALM.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the terms
6	! of the GNU General Public License as published by the Free Software Foundation,
7	! either version 3 of the License, or (at your option) any later version.
8	!
9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
12	!
13	! You should have received a copy of the GNU General Public License along with
14	! PALM. If not, see <http://www.gnu.org/licenses/>.
15	!
16	! Copyright 1997-2015 Leibniz Universitaet Hannover
17	!--------------------------------------------------------------------------------!
18	!
19	! Current revisions:
20	! -----------------
21	!
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: flow_statistics.f90 1784 2016-03-06 19:14:40Z gronemeier $
26	!
27	! 1783 2016-03-06 18:36:17Z raasch
28	! +module netcdf_interface
29	!
30	! 1747 2016-02-08 12:25:53Z raasch
31	! small bugfixes for accelerator version
32	!
33	! 1738 2015-12-18 13:56:05Z raasch
34	! bugfixes for calculations in statistical regions which do not contain grid
35	! points in the lowest vertical levels, mean surface level height considered
36	! in the calculation of the characteristic vertical velocity,
37	! old upstream parts removed
38	!
39	! 1709 2015-11-04 14:47:01Z maronga
40	! Updated output of Obukhov length
41	!
42	! 1691 2015-10-26 16:17:44Z maronga
43	! Revised calculation of Obukhov length. Added output of radiative heating >
44	! rates for RRTMG.
45	!
46	! 1682 2015-10-07 23:56:08Z knoop
47	! Code annotations made doxygen readable
48	!
49	! 1658 2015-09-18 10:52:53Z raasch
50	! bugfix: temporary reduction variables in the openacc branch are now
51	! initialized to zero
52	!
53	! 1654 2015-09-17 09:20:17Z raasch
54	! FORTRAN bugfix of r1652
55	!
56	! 1652 2015-09-17 08:12:24Z raasch
57	! bugfix in calculation of energy production by turbulent transport of TKE
58	!
59	! 1593 2015-05-16 13:58:02Z raasch
60	! FORTRAN errors removed from openacc branch
61	!
62	! 1585 2015-04-30 07:05:52Z maronga
63	! Added output of timeseries and profiles for RRTMG
64	!
65	! 1571 2015-03-12 16:12:49Z maronga
66	! Bugfix: output of rad_net and rad_sw_in
67	!
68	! 1567 2015-03-10 17:57:55Z suehring
69	! Reverse modifications made for monotonic limiter.
70	!
71	! 1557 2015-03-05 16:43:04Z suehring
72	! Adjustments for monotonic limiter
73	!
74	! 1555 2015-03-04 17:44:27Z maronga
75	! Added output of r_a and r_s.
76	!
77	! 1551 2015-03-03 14:18:16Z maronga
78	! Added suppport for land surface model and radiation model output.
79	!
80	! 1498 2014-12-03 14:09:51Z suehring
81	! Comments added
82	!
83	! 1482 2014-10-18 12:34:45Z raasch
84	! missing ngp_sums_ls added in accelerator version
85	!
86	! 1450 2014-08-21 07:31:51Z heinze
87	! bugfix: calculate fac only for simulated_time >= 0.0
88	!
89	! 1396 2014-05-06 13:37:41Z raasch
90	! bugfix: "copyin" replaced by "update device" in openacc-branch
91	!
92	! 1386 2014-05-05 13:55:30Z boeske
93	! bugfix: simulated time before the last timestep is needed for the correct
94	! calculation of the profiles of large scale forcing tendencies
95	!
96	! 1382 2014-04-30 12:15:41Z boeske
97	! Renamed variables which store large scale forcing tendencies
98	! pt_lsa -> td_lsa_lpt, pt_subs -> td_sub_lpt,
99	! q_lsa -> td_lsa_q, q_subs -> td_sub_q,
100	! added Neumann boundary conditions for profile data output of large scale
101	! advection and subsidence terms at nzt+1
102	!
103	! 1374 2014-04-25 12:55:07Z raasch
104	! bugfix: syntax errors removed from openacc-branch
105	! missing variables added to ONLY-lists
106	!
107	! 1365 2014-04-22 15:03:56Z boeske
108	! Output of large scale advection, large scale subsidence and nudging tendencies
109	! +sums_ls_l, ngp_sums_ls, use_subsidence_tendencies
110	!
111	! 1353 2014-04-08 15:21:23Z heinze
112	! REAL constants provided with KIND-attribute
113	!
114	! 1322 2014-03-20 16:38:49Z raasch
115	! REAL constants defined as wp-kind
116	!
117	! 1320 2014-03-20 08:40:49Z raasch
118	! ONLY-attribute added to USE-statements,
119	! kind-parameters added to all INTEGER and REAL declaration statements,
120	! kinds are defined in new module kinds,
121	! revision history before 2012 removed,
122	! comment fields (!:) to be used for variable explanations added to
123	! all variable declaration statements
124	!
125	! 1299 2014-03-06 13:15:21Z heinze
126	! Output of large scale vertical velocity w_subs
127	!
128	! 1257 2013-11-08 15:18:40Z raasch
129	! openacc "end parallel" replaced by "end parallel loop"
130	!
131	! 1241 2013-10-30 11:36:58Z heinze
132	! Output of ug and vg
133	!
134	! 1221 2013-09-10 08:59:13Z raasch
135	! ported for openACC in separate #else branch
136	!
137	! 1179 2013-06-14 05:57:58Z raasch
138	! comment for profile 77 added
139	!
140	! 1115 2013-03-26 18:16:16Z hoffmann
141	! ql is calculated by calc_liquid_water_content
142	!
143	! 1111 2013-03-08 23:54:10Z raasch
144	! openACC directive added
145	!
146	! 1053 2012-11-13 17:11:03Z hoffmann
147	! additions for two-moment cloud physics scheme:
148	! +nr, qr, qc, prr
149	!
150	! 1036 2012-10-22 13:43:42Z raasch
151	! code put under GPL (PALM 3.9)
152	!
153	! 1007 2012-09-19 14:30:36Z franke
154	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
155	! turbulent fluxes of WS-scheme
156	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
157	! droplets at nzb and nzt added
158	!
159	! 801 2012-01-10 17:30:36Z suehring
160	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
161	!
162	! Revision 1.1 1997/08/11 06:15:17 raasch
163	! Initial revision
164	!
165	!
166	! Description:
167	! ------------
168	!> Compute average profiles and further average flow quantities for the different
169	!> user-defined (sub-)regions. The region indexed 0 is the total model domain.
170	!>
171	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
172	!> lower vertical index for k-loops for all variables, although strictly
173	!> speaking the k-loops would have to be split up according to the staggered
174	!> grid. However, this implies no error since staggered velocity components
175	!> are zero at the walls and inside buildings.
176	!------------------------------------------------------------------------------!
177	#if ! defined( __openacc )
178	SUBROUTINE flow_statistics
179
180
181	USE arrays_3d, &
182	ONLY: ddzu, ddzw, e, hyp, km, kh, nr, ol, p, prho, pt, q, qc, ql, qr, &
183	qs, qsws, qswst, rho, sa, saswsb, saswst, shf, td_lsa_lpt, &
184	td_lsa_q, td_sub_lpt, td_sub_q, time_vert, ts, tswst, u, ug, us,&
185	usws, uswst, vsws, v, vg, vpt, vswst, w, w_subs, zw
186
187	USE cloud_parameters, &
188	ONLY: l_d_cp, prr, pt_d_t
189
190	USE control_parameters, &
191	ONLY: average_count_pr, cloud_droplets, cloud_physics, do_sum, &
192	dt_3d, g, humidity, icloud_scheme, kappa, large_scale_forcing, &
193	large_scale_subsidence, max_pr_user, message_string, neutral, &
194	ocean, passive_scalar, precipitation, simulated_time, &
195	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
196	ws_scheme_mom, ws_scheme_sca
197
198	USE cpulog, &
199	ONLY: cpu_log, log_point
200
201	USE grid_variables, &
202	ONLY: ddx, ddy
203
204	USE indices, &
205	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
206	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzb_diff_s_inner, &
207	nzb_s_inner, nzt, nzt_diff
208
209	USE kinds
210
211	USE land_surface_model_mod, &
212	ONLY: ghf_eb, land_surface, m_soil, nzb_soil, nzt_soil, &
213	qsws_eb, qsws_liq_eb, qsws_soil_eb, qsws_veg_eb, r_a, r_s, &
214	shf_eb, t_soil
215
216	USE netcdf_interface, &
217	ONLY: dots_rad, dots_soil
218
219	USE pegrid
220
221	USE radiation_model_mod, &
222	ONLY: radiation, radiation_scheme, rad_net, &
223	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
224	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
225
226	#if defined ( __rrtmg )
227	USE radiation_model_mod, &
228	ONLY: rrtm_aldif, rrtm_aldir, rrtm_asdif, rrtm_asdir
229	#endif
230
231	USE statistics
232
233
234	IMPLICIT NONE
235
236	INTEGER(iwp) :: i !<
237	INTEGER(iwp) :: j !<
238	INTEGER(iwp) :: k !<
239	INTEGER(iwp) :: k_surface_level !<
240	INTEGER(iwp) :: nt !<
241	INTEGER(iwp) :: omp_get_thread_num !<
242	INTEGER(iwp) :: sr !<
243	INTEGER(iwp) :: tn !<
244
245	LOGICAL :: first !<
246
247	REAL(wp) :: dptdz_threshold !<
248	REAL(wp) :: fac !<
249	REAL(wp) :: height !<
250	REAL(wp) :: pts !<
251	REAL(wp) :: sums_l_eper !<
252	REAL(wp) :: sums_l_etot !<
253	REAL(wp) :: ust !<
254	REAL(wp) :: ust2 !<
255	REAL(wp) :: u2 !<
256	REAL(wp) :: vst !<
257	REAL(wp) :: vst2 !<
258	REAL(wp) :: v2 !<
259	REAL(wp) :: w2 !<
260	REAL(wp) :: z_i(2) !<
261
262	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
263	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
264
265	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
266
267	!$acc update host( km, kh, e, ol, pt, qs, qsws, shf, ts, u, usws, v, vsws, w )
268
269	!
270	!-- To be on the safe side, check whether flow_statistics has already been
271	!-- called once after the current time step
272	IF ( flow_statistics_called ) THEN
273
274	message_string = 'flow_statistics is called two times within one ' // &
275	'timestep'
276	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
277
278	ENDIF
279
280	!
281	!-- Compute statistics for each (sub-)region
282	DO sr = 0, statistic_regions
283
284	!
285	!-- Initialize (local) summation array
286	sums_l = 0.0_wp
287
288	!
289	!-- Store sums that have been computed in other subroutines in summation
290	!-- array
291	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
292	!-- WARNING: next line still has to be adjusted for OpenMP
293	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
294	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
295	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
296
297	!
298	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
299	!-- scale) vertical fluxes and velocity variances by using commonly-
300	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
301	!-- in combination with the 5th order advection scheme, pronounced
302	!-- artificial kinks could be observed in the vertical profiles near the
303	!-- surface. Please note: these kinks were not related to the model truth,
304	!-- i.e. these kinks are just related to an evaluation problem.
305	!-- In order avoid these kinks, vertical fluxes and horizontal as well
306	!-- vertical velocity variances are calculated directly within the advection
307	!-- routines, according to the numerical discretization, to evaluate the
308	!-- statistical quantities as they will appear within the prognostic
309	!-- equations.
310	!-- Copy the turbulent quantities, evaluated in the advection routines to
311	!-- the local array sums_l() for further computations.
312	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
313
314	!
315	!-- According to the Neumann bc for the horizontal velocity components,
316	!-- the corresponding fluxes has to satisfiy the same bc.
317	IF ( ocean ) THEN
318	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
319	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
320	ENDIF
321
322	DO i = 0, threads_per_task-1
323	!
324	!-- Swap the turbulent quantities evaluated in advec_ws.
325	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
326	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
327	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
328	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
329	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
330	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
331	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
332	sums_ws2_ws_l(:,i) ) ! e*
333	DO k = nzb, nzt
334	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5_wp * ( &
335	sums_us2_ws_l(k,i) + &
336	sums_vs2_ws_l(k,i) + &
337	sums_ws2_ws_l(k,i) )
338	ENDDO
339	ENDDO
340
341	ENDIF
342
343	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
344
345	DO i = 0, threads_per_task-1
346	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
347	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
348	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
349	sums_wsqs_ws_l(:,i) !wq
350	ENDDO
351
352	ENDIF
353	!
354	!-- Horizontally averaged profiles of horizontal velocities and temperature.
355	!-- They must have been computed before, because they are already required
356	!-- for other horizontal averages.
357	tn = 0
358
359	!$OMP PARALLEL PRIVATE( i, j, k, tn )
360	#if defined( __intel_openmp_bug )
361	tn = omp_get_thread_num()
362	#else
363	!$ tn = omp_get_thread_num()
364	#endif
365
366	!$OMP DO
367	DO i = nxl, nxr
368	DO j = nys, nyn
369	DO k = nzb_s_inner(j,i), nzt+1
370	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
371	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
372	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
373	ENDDO
374	ENDDO
375	ENDDO
376
377	!
378	!-- Horizontally averaged profile of salinity
379	IF ( ocean ) THEN
380	!$OMP DO
381	DO i = nxl, nxr
382	DO j = nys, nyn
383	DO k = nzb_s_inner(j,i), nzt+1
384	sums_l(k,23,tn) = sums_l(k,23,tn) + &
385	sa(k,j,i) * rmask(j,i,sr)
386	ENDDO
387	ENDDO
388	ENDDO
389	ENDIF
390
391	!
392	!-- Horizontally averaged profiles of virtual potential temperature,
393	!-- total water content, specific humidity and liquid water potential
394	!-- temperature
395	IF ( humidity ) THEN
396	!$OMP DO
397	DO i = nxl, nxr
398	DO j = nys, nyn
399	DO k = nzb_s_inner(j,i), nzt+1
400	sums_l(k,44,tn) = sums_l(k,44,tn) + &
401	vpt(k,j,i) * rmask(j,i,sr)
402	sums_l(k,41,tn) = sums_l(k,41,tn) + &
403	q(k,j,i) * rmask(j,i,sr)
404	ENDDO
405	ENDDO
406	ENDDO
407	IF ( cloud_physics ) THEN
408	!$OMP DO
409	DO i = nxl, nxr
410	DO j = nys, nyn
411	DO k = nzb_s_inner(j,i), nzt+1
412	sums_l(k,42,tn) = sums_l(k,42,tn) + &
413	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
414	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
415	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
416	) * rmask(j,i,sr)
417	ENDDO
418	ENDDO
419	ENDDO
420	ENDIF
421	ENDIF
422
423	!
424	!-- Horizontally averaged profiles of passive scalar
425	IF ( passive_scalar ) THEN
426	!$OMP DO
427	DO i = nxl, nxr
428	DO j = nys, nyn
429	DO k = nzb_s_inner(j,i), nzt+1
430	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
431	ENDDO
432	ENDDO
433	ENDDO
434	ENDIF
435	!$OMP END PARALLEL
436	!
437	!-- Summation of thread sums
438	IF ( threads_per_task > 1 ) THEN
439	DO i = 1, threads_per_task-1
440	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
441	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
442	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
443	IF ( ocean ) THEN
444	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
445	ENDIF
446	IF ( humidity ) THEN
447	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
448	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
449	IF ( cloud_physics ) THEN
450	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
451	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
452	ENDIF
453	ENDIF
454	IF ( passive_scalar ) THEN
455	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
456	ENDIF
457	ENDDO
458	ENDIF
459
460	#if defined( __parallel )
461	!
462	!-- Compute total sum from local sums
463	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
464	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
465	MPI_SUM, comm2d, ierr )
466	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
467	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
468	MPI_SUM, comm2d, ierr )
469	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
470	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
471	MPI_SUM, comm2d, ierr )
472	IF ( ocean ) THEN
473	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
474	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
475	MPI_REAL, MPI_SUM, comm2d, ierr )
476	ENDIF
477	IF ( humidity ) THEN
478	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
479	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
480	MPI_REAL, MPI_SUM, comm2d, ierr )
481	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
482	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
483	MPI_REAL, MPI_SUM, comm2d, ierr )
484	IF ( cloud_physics ) THEN
485	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
486	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
487	MPI_REAL, MPI_SUM, comm2d, ierr )
488	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
489	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
490	MPI_REAL, MPI_SUM, comm2d, ierr )
491	ENDIF
492	ENDIF
493
494	IF ( passive_scalar ) THEN
495	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
496	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
497	MPI_REAL, MPI_SUM, comm2d, ierr )
498	ENDIF
499	#else
500	sums(:,1) = sums_l(:,1,0)
501	sums(:,2) = sums_l(:,2,0)
502	sums(:,4) = sums_l(:,4,0)
503	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
504	IF ( humidity ) THEN
505	sums(:,44) = sums_l(:,44,0)
506	sums(:,41) = sums_l(:,41,0)
507	IF ( cloud_physics ) THEN
508	sums(:,42) = sums_l(:,42,0)
509	sums(:,43) = sums_l(:,43,0)
510	ENDIF
511	ENDIF
512	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
513	#endif
514
515	!
516	!-- Final values are obtained by division by the total number of grid points
517	!-- used for summation. After that store profiles.
518	sums(:,1) = sums(:,1) / ngp_2dh(sr)
519	sums(:,2) = sums(:,2) / ngp_2dh(sr)
520	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
521	hom(:,1,1,sr) = sums(:,1) ! u
522	hom(:,1,2,sr) = sums(:,2) ! v
523	hom(:,1,4,sr) = sums(:,4) ! pt
524
525
526	!
527	!-- Salinity
528	IF ( ocean ) THEN
529	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
530	hom(:,1,23,sr) = sums(:,23) ! sa
531	ENDIF
532
533	!
534	!-- Humidity and cloud parameters
535	IF ( humidity ) THEN
536	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
537	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
538	hom(:,1,44,sr) = sums(:,44) ! vpt
539	hom(:,1,41,sr) = sums(:,41) ! qv (q)
540	IF ( cloud_physics ) THEN
541	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
542	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
543	hom(:,1,42,sr) = sums(:,42) ! qv
544	hom(:,1,43,sr) = sums(:,43) ! pt
545	ENDIF
546	ENDIF
547
548	!
549	!-- Passive scalar
550	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
551	ngp_2dh_s_inner(:,sr) ! s (q)
552
553	!
554	!-- Horizontally averaged profiles of the remaining prognostic variables,
555	!-- variances, the total and the perturbation energy (single values in last
556	!-- column of sums_l) and some diagnostic quantities.
557	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
558	!-- ---- speaking the following k-loop would have to be split up and
559	!-- rearranged according to the staggered grid.
560	!-- However, this implies no error since staggered velocity components
561	!-- are zero at the walls and inside buildings.
562	tn = 0
563	#if defined( __intel_openmp_bug )
564	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
565	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
566	tn = omp_get_thread_num()
567	#else
568	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
569	!$ tn = omp_get_thread_num()
570	#endif
571	!$OMP DO
572	DO i = nxl, nxr
573	DO j = nys, nyn
574	sums_l_etot = 0.0_wp
575	DO k = nzb_s_inner(j,i), nzt+1
576	!
577	!-- Prognostic and diagnostic variables
578	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
579	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
580	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
581	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
582	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
583
584	sums_l(k,33,tn) = sums_l(k,33,tn) + &
585	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
586
587	IF ( humidity ) THEN
588	sums_l(k,70,tn) = sums_l(k,70,tn) + &
589	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
590	ENDIF
591
592	!
593	!-- Higher moments
594	!-- (Computation of the skewness of w further below)
595	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
596
597	sums_l_etot = sums_l_etot + &
598	0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + &
599	w(k,j,i)*2 ) rmask(j,i,sr)
600	ENDDO
601	!
602	!-- Total and perturbation energy for the total domain (being
603	!-- collected in the last column of sums_l). Summation of these
604	!-- quantities is seperated from the previous loop in order to
605	!-- allow vectorization of that loop.
606	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
607	!
608	!-- 2D-arrays (being collected in the last column of sums_l)
609	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
610	us(j,i) * rmask(j,i,sr)
611	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
612	usws(j,i) * rmask(j,i,sr)
613	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
614	vsws(j,i) * rmask(j,i,sr)
615	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
616	ts(j,i) * rmask(j,i,sr)
617	IF ( humidity ) THEN
618	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
619	qs(j,i) * rmask(j,i,sr)
620	ENDIF
621	ENDDO
622	ENDDO
623
624	!
625	!-- Computation of statistics when ws-scheme is not used. Else these
626	!-- quantities are evaluated in the advection routines.
627	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
628	!$OMP DO
629	DO i = nxl, nxr
630	DO j = nys, nyn
631	sums_l_eper = 0.0_wp
632	DO k = nzb_s_inner(j,i), nzt+1
633	u2 = u(k,j,i)**2
634	v2 = v(k,j,i)**2
635	w2 = w(k,j,i)**2
636	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
637	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
638
639	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
640	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
641	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
642	!
643	!-- Perturbation energy
644
645	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5_wp * &
646	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
647	sums_l_eper = sums_l_eper + &
648	0.5_wp * ( ust2+vst2+w2 ) * rmask(j,i,sr)
649
650	ENDDO
651	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
652	+ sums_l_eper
653	ENDDO
654	ENDDO
655	ENDIF
656
657	!
658	!-- Horizontally averaged profiles of the vertical fluxes
659
660	!$OMP DO
661	DO i = nxl, nxr
662	DO j = nys, nyn
663	!
664	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
665	!-- oterwise from k=nzb+1)
666	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
667	!-- ---- strictly speaking the following k-loop would have to be
668	!-- split up according to the staggered grid.
669	!-- However, this implies no error since staggered velocity
670	!-- components are zero at the walls and inside buildings.
671
672	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
673	!
674	!-- Momentum flux w"u"
675	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
676	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
677	) * ( &
678	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
679	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
680	) * rmask(j,i,sr)
681	!
682	!-- Momentum flux w"v"
683	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
684	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
685	) * ( &
686	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
687	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
688	) * rmask(j,i,sr)
689	!
690	!-- Heat flux w"pt"
691	sums_l(k,16,tn) = sums_l(k,16,tn) &
692	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
693	* ( pt(k+1,j,i) - pt(k,j,i) ) &
694	* ddzu(k+1) * rmask(j,i,sr)
695
696
697	!
698	!-- Salinity flux w"sa"
699	IF ( ocean ) THEN
700	sums_l(k,65,tn) = sums_l(k,65,tn) &
701	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
702	* ( sa(k+1,j,i) - sa(k,j,i) ) &
703	* ddzu(k+1) * rmask(j,i,sr)
704	ENDIF
705
706	!
707	!-- Buoyancy flux, water flux (humidity flux) w"q"
708	IF ( humidity ) THEN
709	sums_l(k,45,tn) = sums_l(k,45,tn) &
710	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
711	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
712	* ddzu(k+1) * rmask(j,i,sr)
713	sums_l(k,48,tn) = sums_l(k,48,tn) &
714	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
715	* ( q(k+1,j,i) - q(k,j,i) ) &
716	* ddzu(k+1) * rmask(j,i,sr)
717
718	IF ( cloud_physics ) THEN
719	sums_l(k,51,tn) = sums_l(k,51,tn) &
720	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
721	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
722	- ( q(k,j,i) - ql(k,j,i) ) ) &
723	* ddzu(k+1) * rmask(j,i,sr)
724	ENDIF
725	ENDIF
726
727	!
728	!-- Passive scalar flux
729	IF ( passive_scalar ) THEN
730	sums_l(k,48,tn) = sums_l(k,48,tn) &
731	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
732	* ( q(k+1,j,i) - q(k,j,i) ) &
733	* ddzu(k+1) * rmask(j,i,sr)
734	ENDIF
735
736	ENDDO
737
738	!
739	!-- Subgridscale fluxes in the Prandtl layer
740	IF ( use_surface_fluxes ) THEN
741	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
742	usws(j,i) * rmask(j,i,sr) ! w"u"
743	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
744	vsws(j,i) * rmask(j,i,sr) ! w"v"
745	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
746	shf(j,i) * rmask(j,i,sr) ! w"pt"
747	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
748	0.0_wp * rmask(j,i,sr) ! u"pt"
749	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
750	0.0_wp * rmask(j,i,sr) ! v"pt"
751	IF ( ocean ) THEN
752	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
753	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
754	ENDIF
755	IF ( humidity ) THEN
756	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
757	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
758	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
759	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
760	shf(j,i) + 0.61_wp * pt(nzb,j,i) * &
761	qsws(j,i) )
762	IF ( cloud_droplets ) THEN
763	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
764	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
765	ql(nzb,j,i) ) * shf(j,i) + &
766	0.61_wp * pt(nzb,j,i) * qsws(j,i) )
767	ENDIF
768	IF ( cloud_physics ) THEN
769	!
770	!-- Formula does not work if ql(nzb) /= 0.0
771	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
772	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
773	ENDIF
774	ENDIF
775	IF ( passive_scalar ) THEN
776	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
777	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
778	ENDIF
779	ENDIF
780
781	IF ( .NOT. neutral ) THEN
782	sums_l(nzb,114,tn) = sums_l(nzb,114,tn) + &
783	ol(j,i) * rmask(j,i,sr) ! L
784	ENDIF
785
786
787	IF ( land_surface ) THEN
788	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + ghf_eb(j,i)
789	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + shf_eb(j,i)
790	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + qsws_eb(j,i)
791	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + qsws_liq_eb(j,i)
792	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + qsws_soil_eb(j,i)
793	sums_l(nzb,98,tn) = sums_l(nzb,98,tn) + qsws_veg_eb(j,i)
794	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + r_a(j,i)
795	sums_l(nzb,100,tn) = sums_l(nzb,100,tn)+ r_s(j,i)
796	ENDIF
797
798	IF ( radiation ) THEN
799	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + rad_net(j,i)
800	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + rad_lw_in(nzb,j,i)
801	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + rad_lw_out(nzb,j,i)
802	sums_l(nzb,104,tn) = sums_l(nzb,104,tn) + rad_sw_in(nzb,j,i)
803	sums_l(nzb,105,tn) = sums_l(nzb,105,tn) + rad_sw_out(nzb,j,i)
804
805	#if defined ( __rrtmg )
806	IF ( radiation_scheme == 'rrtmg' ) THEN
807	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + rrtm_aldif(0,j,i)
808	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + rrtm_aldir(0,j,i)
809	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + rrtm_asdif(0,j,i)
810	sums_l(nzb,113,tn) = sums_l(nzb,113,tn) + rrtm_asdir(0,j,i)
811	ENDIF
812	#endif
813
814	ENDIF
815
816	!
817	!-- Subgridscale fluxes at the top surface
818	IF ( use_top_fluxes ) THEN
819	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
820	uswst(j,i) * rmask(j,i,sr) ! w"u"
821	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
822	vswst(j,i) * rmask(j,i,sr) ! w"v"
823	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
824	tswst(j,i) * rmask(j,i,sr) ! w"pt"
825	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
826	0.0_wp * rmask(j,i,sr) ! u"pt"
827	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
828	0.0_wp * rmask(j,i,sr) ! v"pt"
829
830	IF ( ocean ) THEN
831	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
832	saswst(j,i) * rmask(j,i,sr) ! w"sa"
833	ENDIF
834	IF ( humidity ) THEN
835	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
836	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
837	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
838	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
839	tswst(j,i) + 0.61_wp * pt(nzt,j,i) * &
840	qswst(j,i) )
841	IF ( cloud_droplets ) THEN
842	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
843	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
844	ql(nzt,j,i) ) * tswst(j,i) + &
845	0.61_wp * pt(nzt,j,i) * qswst(j,i) )
846	ENDIF
847	IF ( cloud_physics ) THEN
848	!
849	!-- Formula does not work if ql(nzb) /= 0.0
850	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
851	qswst(j,i) * rmask(j,i,sr)
852	ENDIF
853	ENDIF
854	IF ( passive_scalar ) THEN
855	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
856	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
857	ENDIF
858	ENDIF
859
860	!
861	!-- Resolved fluxes (can be computed for all horizontal points)
862	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
863	!-- ---- speaking the following k-loop would have to be split up and
864	!-- rearranged according to the staggered grid.
865	DO k = nzb_s_inner(j,i), nzt
866	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
867	u(k+1,j,i) - hom(k+1,1,1,sr) )
868	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
869	v(k+1,j,i) - hom(k+1,1,2,sr) )
870	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
871	pt(k+1,j,i) - hom(k+1,1,4,sr) )
872
873	!-- Higher moments
874	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
875	rmask(j,i,sr)
876	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
877	rmask(j,i,sr)
878
879	!
880	!-- Salinity flux and density (density does not belong to here,
881	!-- but so far there is no other suitable place to calculate)
882	IF ( ocean ) THEN
883	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
884	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
885	sa(k+1,j,i) - hom(k+1,1,23,sr) )
886	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
887	rmask(j,i,sr)
888	ENDIF
889	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
890	rmask(j,i,sr)
891	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
892	rmask(j,i,sr)
893	ENDIF
894
895	!
896	!-- Buoyancy flux, water flux, humidity flux, liquid water
897	!-- content, rain drop concentration and rain water content
898	IF ( humidity ) THEN
899	IF ( cloud_physics .OR. cloud_droplets ) THEN
900	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
901	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
902	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
903	rmask(j,i,sr)
904	IF ( .NOT. cloud_droplets ) THEN
905	pts = 0.5_wp * &
906	( ( q(k,j,i) - ql(k,j,i) ) - &
907	hom(k,1,42,sr) + &
908	( q(k+1,j,i) - ql(k+1,j,i) ) - &
909	hom(k+1,1,42,sr) )
910	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
911	rmask(j,i,sr)
912	IF ( icloud_scheme == 0 ) THEN
913	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
914	rmask(j,i,sr)
915	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
916	rmask(j,i,sr)
917	IF ( precipitation ) THEN
918	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
919	rmask(j,i,sr)
920	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
921	rmask(j,i,sr)
922	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) *&
923	rmask(j,i,sr)
924	ENDIF
925	ELSE
926	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
927	rmask(j,i,sr)
928	ENDIF
929	ELSE
930	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
931	rmask(j,i,sr)
932	ENDIF
933	ELSE
934	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
935	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
936	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
937	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
938	rmask(j,i,sr)
939	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
940	sums_l(k,46,tn) = ( 1.0_wp + 0.61_wp * &
941	hom(k,1,41,sr) ) * &
942	sums_l(k,17,tn) + &
943	0.61_wp * hom(k,1,4,sr) * &
944	sums_l(k,49,tn)
945	END IF
946	END IF
947	ENDIF
948	!
949	!-- Passive scalar flux
950	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
951	.OR. sr /= 0 ) ) THEN
952	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
953	q(k+1,j,i) - hom(k+1,1,41,sr) )
954	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
955	rmask(j,i,sr)
956	ENDIF
957
958	!
959	!-- Energy flux we
960	!-- has to be adjusted
961	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
962	( ust2 + vst2 + w(k,j,i)**2 ) &
963	* rmask(j,i,sr)
964	ENDDO
965	ENDDO
966	ENDDO
967	!
968	!-- For speed optimization fluxes which have been computed in part directly
969	!-- inside the WS advection routines are treated seperatly
970	!-- Momentum fluxes first:
971	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
972	!$OMP DO
973	DO i = nxl, nxr
974	DO j = nys, nyn
975	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
976	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
977	u(k+1,j,i) - hom(k+1,1,1,sr) )
978	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
979	v(k+1,j,i) - hom(k+1,1,2,sr) )
980	!
981	!-- Momentum flux wu
982	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
983	( w(k,j,i-1) + w(k,j,i) ) &
984	* ust * rmask(j,i,sr)
985	!
986	!-- Momentum flux wv
987	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * &
988	( w(k,j-1,i) + w(k,j,i) ) &
989	* vst * rmask(j,i,sr)
990	ENDDO
991	ENDDO
992	ENDDO
993
994	ENDIF
995	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
996	!$OMP DO
997	DO i = nxl, nxr
998	DO j = nys, nyn
999	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
1000	!
1001	!-- Vertical heat flux
1002	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1003	( pt(k,j,i) - hom(k,1,4,sr) + &
1004	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1005	* w(k,j,i) * rmask(j,i,sr)
1006	IF ( humidity ) THEN
1007	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1008	q(k+1,j,i) - hom(k+1,1,41,sr) )
1009	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1010	rmask(j,i,sr)
1011	ENDIF
1012	ENDDO
1013	ENDDO
1014	ENDDO
1015
1016	ENDIF
1017
1018	!
1019	!-- Density at top follows Neumann condition
1020	IF ( ocean ) THEN
1021	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1022	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1023	ENDIF
1024
1025	!
1026	!-- Divergence of vertical flux of resolved scale energy and pressure
1027	!-- fluctuations as well as flux of pressure fluctuation itself (68).
1028	!-- First calculate the products, then the divergence.
1029	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1030	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) &
1031	THEN
1032	sums_ll = 0.0_wp ! local array
1033
1034	!$OMP DO
1035	DO i = nxl, nxr
1036	DO j = nys, nyn
1037	DO k = nzb_s_inner(j,i)+1, nzt
1038
1039	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1040	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1041	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2&
1042	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1043	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2&
1044	+ w(k,j,i)**2 )
1045
1046	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1047	* ( p(k,j,i) + p(k+1,j,i) )
1048
1049	ENDDO
1050	ENDDO
1051	ENDDO
1052	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1053	sums_ll(nzt+1,1) = 0.0_wp
1054	sums_ll(0,2) = 0.0_wp
1055	sums_ll(nzt+1,2) = 0.0_wp
1056
1057	DO k = nzb+1, nzt
1058	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1059	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1060	sums_l(k,68,tn) = sums_ll(k,2)
1061	ENDDO
1062	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1063	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1064	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1065
1066	ENDIF
1067
1068	!
1069	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1070	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) &
1071	THEN
1072	!$OMP DO
1073	DO i = nxl, nxr
1074	DO j = nys, nyn
1075	DO k = nzb_s_inner(j,i)+1, nzt
1076
1077	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1078	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1079	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1080	) * ddzw(k)
1081
1082	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1083	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1084	)
1085
1086	ENDDO
1087	ENDDO
1088	ENDDO
1089	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1090	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1091
1092	ENDIF
1093
1094	!
1095	!-- Horizontal heat fluxes (subgrid, resolved, total).
1096	!-- Do it only, if profiles shall be plotted.
1097	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1098
1099	!$OMP DO
1100	DO i = nxl, nxr
1101	DO j = nys, nyn
1102	DO k = nzb_s_inner(j,i)+1, nzt
1103	!
1104	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1105	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1106	( kh(k,j,i) + kh(k,j,i-1) ) &
1107	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1108	* ddx * rmask(j,i,sr)
1109	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1110	( kh(k,j,i) + kh(k,j-1,i) ) &
1111	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1112	* ddy * rmask(j,i,sr)
1113	!
1114	!-- Resolved horizontal heat fluxes upt, vpt
1115	sums_l(k,59,tn) = sums_l(k,59,tn) + &
1116	( u(k,j,i) - hom(k,1,1,sr) ) &
1117	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1118	pt(k,j,i) - hom(k,1,4,sr) )
1119	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1120	pt(k,j,i) - hom(k,1,4,sr) )
1121	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1122	( v(k,j,i) - hom(k,1,2,sr) ) &
1123	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1124	pt(k,j,i) - hom(k,1,4,sr) )
1125	ENDDO
1126	ENDDO
1127	ENDDO
1128	!
1129	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1130	sums_l(nzb,58,tn) = 0.0_wp
1131	sums_l(nzb,59,tn) = 0.0_wp
1132	sums_l(nzb,60,tn) = 0.0_wp
1133	sums_l(nzb,61,tn) = 0.0_wp
1134	sums_l(nzb,62,tn) = 0.0_wp
1135	sums_l(nzb,63,tn) = 0.0_wp
1136
1137	ENDIF
1138
1139	!
1140	!-- Collect current large scale advection and subsidence tendencies for
1141	!-- data output
1142	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1143	!
1144	!-- Interpolation in time of LSF_DATA
1145	nt = 1
1146	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1147	nt = nt + 1
1148	ENDDO
1149	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1150	nt = nt - 1
1151	ENDIF
1152
1153	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
1154	/ ( time_vert(nt+1)-time_vert(nt) )
1155
1156
1157	DO k = nzb, nzt
1158	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
1159	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1160	sums_ls_l(k,1) = td_lsa_q(k,nt) &
1161	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1162	ENDDO
1163
1164	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1165	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1166
1167	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1168
1169	DO k = nzb, nzt
1170	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
1171	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1172	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
1173	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1174	ENDDO
1175
1176	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1177	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1178
1179	ENDIF
1180
1181	ENDIF
1182
1183
1184	IF ( land_surface ) THEN
1185	!$OMP DO
1186	DO i = nxl, nxr
1187	DO j = nys, nyn
1188	DO k = nzb_soil, nzt_soil
1189	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil(k,j,i) &
1190	* rmask(j,i,sr)
1191	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil(k,j,i) &
1192	* rmask(j,i,sr)
1193	ENDDO
1194	ENDDO
1195	ENDDO
1196	ENDIF
1197
1198	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1199	!$OMP DO
1200	DO i = nxl, nxr
1201	DO j = nys, nyn
1202	DO k = nzb_s_inner(j,i)+1, nzt+1
1203	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_lw_in(k,j,i) &
1204	* rmask(j,i,sr)
1205	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_lw_out(k,j,i) &
1206	* rmask(j,i,sr)
1207	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_sw_in(k,j,i) &
1208	* rmask(j,i,sr)
1209	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_sw_out(k,j,i) &
1210	* rmask(j,i,sr)
1211	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_lw_cs_hr(k,j,i) &
1212	* rmask(j,i,sr)
1213	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_lw_hr(k,j,i) &
1214	* rmask(j,i,sr)
1215	sums_l(k,108,tn) = sums_l(k,108,tn) + rad_sw_cs_hr(k,j,i) &
1216	* rmask(j,i,sr)
1217	sums_l(k,109,tn) = sums_l(k,109,tn) + rad_sw_hr(k,j,i) &
1218	* rmask(j,i,sr)
1219	ENDDO
1220	ENDDO
1221	ENDDO
1222	ENDIF
1223	!
1224	!-- Calculate the user-defined profiles
1225	CALL user_statistics( 'profiles', sr, tn )
1226	!$OMP END PARALLEL
1227
1228	!
1229	!-- Summation of thread sums
1230	IF ( threads_per_task > 1 ) THEN
1231	DO i = 1, threads_per_task-1
1232	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1233	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1234	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1235	sums_l(:,45:pr_palm,i)
1236	IF ( max_pr_user > 0 ) THEN
1237	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1238	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1239	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1240	ENDIF
1241	ENDDO
1242	ENDIF
1243
1244	#if defined( __parallel )
1245
1246	!
1247	!-- Compute total sum from local sums
1248	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1249	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1250	MPI_SUM, comm2d, ierr )
1251	IF ( large_scale_forcing ) THEN
1252	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
1253	MPI_REAL, MPI_SUM, comm2d, ierr )
1254	ENDIF
1255	#else
1256	sums = sums_l(:,:,0)
1257	IF ( large_scale_forcing ) THEN
1258	sums(:,81:88) = sums_ls_l
1259	ENDIF
1260	#endif
1261
1262	!
1263	!-- Final values are obtained by division by the total number of grid points
1264	!-- used for summation. After that store profiles.
1265	!-- Check, if statistical regions do contain at least one grid point at the
1266	!-- respective k-level, otherwise division by zero will lead to undefined
1267	!-- values, which may cause e.g. problems with NetCDF output
1268	!-- Profiles:
1269	DO k = nzb, nzt+1
1270	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1271	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1272	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1273	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1274	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1275	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1276	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1277	sums(k,89:114) = sums(k,89:114) / ngp_2dh(sr)
1278	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1279	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1280	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1281	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1282	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1283	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1284	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1285	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1286	sums(k,115:pr_palm-2) = sums(k,115:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1287	ENDIF
1288	ENDDO
1289
1290	!-- u* and so on
1291	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1292	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1293	!-- above the topography, they are being divided by ngp_2dh(sr)
1294	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1295	ngp_2dh(sr)
1296	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1297	ngp_2dh(sr)
1298	!-- eges, e*
1299	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1300	ngp_3d(sr)
1301	!-- Old and new divergence
1302	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1303	ngp_3d_inner(sr)
1304
1305	!-- User-defined profiles
1306	IF ( max_pr_user > 0 ) THEN
1307	DO k = nzb, nzt+1
1308	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1309	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1310	ngp_2dh_s_inner(k,sr)
1311	ENDDO
1312	ENDIF
1313
1314	!
1315	!-- Collect horizontal average in hom.
1316	!-- Compute deduced averages (e.g. total heat flux)
1317	hom(:,1,3,sr) = sums(:,3) ! w
1318	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1319	hom(:,1,9,sr) = sums(:,9) ! km
1320	hom(:,1,10,sr) = sums(:,10) ! kh
1321	hom(:,1,11,sr) = sums(:,11) ! l
1322	hom(:,1,12,sr) = sums(:,12) ! w"u"
1323	hom(:,1,13,sr) = sums(:,13) ! wu
1324	hom(:,1,14,sr) = sums(:,14) ! w"v"
1325	hom(:,1,15,sr) = sums(:,15) ! wv
1326	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1327	hom(:,1,17,sr) = sums(:,17) ! wpt
1328	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1329	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1330	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1331	hom(:,1,21,sr) = sums(:,21) ! wptBC
1332	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1333	! profile 24 is initial profile (sa)
1334	! profiles 25-29 left empty for initial
1335	! profiles
1336	hom(:,1,30,sr) = sums(:,30) ! u*2
1337	hom(:,1,31,sr) = sums(:,31) ! v*2
1338	hom(:,1,32,sr) = sums(:,32) ! w*2
1339	hom(:,1,33,sr) = sums(:,33) ! pt*2
1340	hom(:,1,34,sr) = sums(:,34) ! e*
1341	hom(:,1,35,sr) = sums(:,35) ! w2pt
1342	hom(:,1,36,sr) = sums(:,36) ! wpt2
1343	hom(:,1,37,sr) = sums(:,37) ! we
1344	hom(:,1,38,sr) = sums(:,38) ! w*3
1345	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1346	hom(:,1,40,sr) = sums(:,40) ! p
1347	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1348	hom(:,1,46,sr) = sums(:,46) ! wvpt
1349	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1350	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1351	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1352	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1353	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1354	hom(:,1,52,sr) = sums(:,52) ! wqv
1355	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1356	hom(:,1,54,sr) = sums(:,54) ! ql
1357	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1358	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1359	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
1360	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1361	hom(:,1,59,sr) = sums(:,59) ! upt
1362	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1363	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1364	hom(:,1,62,sr) = sums(:,62) ! vpt
1365	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1366	hom(:,1,64,sr) = sums(:,64) ! rho
1367	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1368	hom(:,1,66,sr) = sums(:,66) ! wsa
1369	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1370	hom(:,1,68,sr) = sums(:,68) ! wp
1371	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
1372	hom(:,1,70,sr) = sums(:,70) ! q*2
1373	hom(:,1,71,sr) = sums(:,71) ! prho
1374	hom(:,1,72,sr) = hyp * 1E-4_wp ! hyp in dbar
1375	hom(:,1,73,sr) = sums(:,73) ! nr
1376	hom(:,1,74,sr) = sums(:,74) ! qr
1377	hom(:,1,75,sr) = sums(:,75) ! qc
1378	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1379	! 77 is initial density profile
1380	hom(:,1,78,sr) = ug ! ug
1381	hom(:,1,79,sr) = vg ! vg
1382	hom(:,1,80,sr) = w_subs ! w_subs
1383
1384	IF ( large_scale_forcing ) THEN
1385	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1386	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1387	IF ( use_subsidence_tendencies ) THEN
1388	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1389	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1390	ELSE
1391	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1392	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1393	ENDIF
1394	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1395	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1396	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1397	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1398	ENDIF
1399
1400	IF ( land_surface ) THEN
1401	hom(:,1,89,sr) = sums(:,89) ! t_soil
1402	! 90 is initial t_soil profile
1403	hom(:,1,91,sr) = sums(:,91) ! m_soil
1404	! 92 is initial m_soil profile
1405	hom(:,1,93,sr) = sums(:,93) ! ghf_eb
1406	hom(:,1,94,sr) = sums(:,94) ! shf_eb
1407	hom(:,1,95,sr) = sums(:,95) ! qsws_eb
1408	hom(:,1,96,sr) = sums(:,96) ! qsws_liq_eb
1409	hom(:,1,97,sr) = sums(:,97) ! qsws_soil_eb
1410	hom(:,1,98,sr) = sums(:,98) ! qsws_veg_eb
1411	hom(:,1,99,sr) = sums(:,99) ! r_a
1412	hom(:,1,100,sr) = sums(:,100) ! r_s
1413
1414	ENDIF
1415
1416	IF ( radiation ) THEN
1417	hom(:,1,101,sr) = sums(:,101) ! rad_net
1418	hom(:,1,102,sr) = sums(:,102) ! rad_lw_in
1419	hom(:,1,103,sr) = sums(:,103) ! rad_lw_out
1420	hom(:,1,104,sr) = sums(:,104) ! rad_sw_in
1421	hom(:,1,105,sr) = sums(:,105) ! rad_sw_out
1422
1423	IF ( radiation_scheme == 'rrtmg' ) THEN
1424	#if defined ( __rrtmg )
1425	hom(:,1,106,sr) = sums(:,106) ! rad_lw_cs_hr
1426	hom(:,1,107,sr) = sums(:,107) ! rad_lw_hr
1427	hom(:,1,108,sr) = sums(:,108) ! rad_sw_cs_hr
1428	hom(:,1,109,sr) = sums(:,109) ! rad_sw_hr
1429
1430	hom(:,1,110,sr) = sums(:,110) ! rrtm_aldif
1431	hom(:,1,111,sr) = sums(:,111) ! rrtm_aldir
1432	hom(:,1,112,sr) = sums(:,112) ! rrtm_asdif
1433	hom(:,1,113,sr) = sums(:,113) ! rrtm_asdir
1434	#endif
1435	ENDIF
1436
1437
1438	ENDIF
1439
1440	hom(:,1,114,sr) = sums(:,114) !: L
1441
1442	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
1443	! u, w'u', w'v', t (in last profile)
1444
1445	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
1446	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
1447	sums(:,pr_palm+1:pr_palm+max_pr_user)
1448	ENDIF
1449
1450	!
1451	!-- Determine the boundary layer height using two different schemes.
1452	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
1453	!-- first relative minimum (maximum) of the total heat flux.
1454	!-- The corresponding height is assumed as the boundary layer height, if it
1455	!-- is less than 1.5 times the height where the heat flux becomes negative
1456	!-- (positive) for the first time.
1457	z_i(1) = 0.0_wp
1458	first = .TRUE.
1459
1460	IF ( ocean ) THEN
1461	DO k = nzt, nzb+1, -1
1462	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
1463	first = .FALSE.
1464	height = zw(k)
1465	ENDIF
1466	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
1467	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
1468	IF ( zw(k) < 1.5_wp * height ) THEN
1469	z_i(1) = zw(k)
1470	ELSE
1471	z_i(1) = height
1472	ENDIF
1473	EXIT
1474	ENDIF
1475	ENDDO
1476	ELSE
1477	DO k = nzb, nzt-1
1478	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
1479	first = .FALSE.
1480	height = zw(k)
1481	ENDIF
1482	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
1483	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
1484	IF ( zw(k) < 1.5_wp * height ) THEN
1485	z_i(1) = zw(k)
1486	ELSE
1487	z_i(1) = height
1488	ENDIF
1489	EXIT
1490	ENDIF
1491	ENDDO
1492	ENDIF
1493
1494	!
1495	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
1496	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
1497	!-- maximal local temperature gradient: starting from the second (the last
1498	!-- but one) vertical gridpoint, the local gradient must be at least
1499	!-- 0.2K/100m and greater than the next four gradients.
1500	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
1501	!-- ocean case!
1502	z_i(2) = 0.0_wp
1503	DO k = nzb+1, nzt+1
1504	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
1505	ENDDO
1506	dptdz_threshold = 0.2_wp / 100.0_wp
1507
1508	IF ( ocean ) THEN
1509	DO k = nzt+1, nzb+5, -1
1510	IF ( dptdz(k) > dptdz_threshold .AND. &
1511	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
1512	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
1513	z_i(2) = zw(k-1)
1514	EXIT
1515	ENDIF
1516	ENDDO
1517	ELSE
1518	DO k = nzb+1, nzt-3
1519	IF ( dptdz(k) > dptdz_threshold .AND. &
1520	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
1521	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
1522	z_i(2) = zw(k-1)
1523	EXIT
1524	ENDIF
1525	ENDDO
1526	ENDIF
1527
1528	hom(nzb+6,1,pr_palm,sr) = z_i(1)
1529	hom(nzb+7,1,pr_palm,sr) = z_i(2)
1530
1531	!
1532	!-- Determine vertical index which is nearest to the mean surface level
1533	!-- height of the respective statistic region
1534	DO k = nzb, nzt
1535	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
1536	k_surface_level = k
1537	EXIT
1538	ENDIF
1539	ENDDO
1540	!
1541	!-- Computation of both the characteristic vertical velocity and
1542	!-- the characteristic convective boundary layer temperature.
1543	!-- The inversion height entering into the equation is defined with respect
1544	!-- to the mean surface level height of the respective statistic region.
1545	!-- The horizontal average at surface level index + 1 is input for the
1546	!-- average temperature.
1547	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp )&
1548	THEN
1549	hom(nzb+8,1,pr_palm,sr) = &
1550	( g / hom(k_surface_level+1,1,4,sr) * hom(k_surface_level,1,18,sr)&
1551	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
1552	ELSE
1553	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
1554	ENDIF
1555
1556	!
1557	!-- Collect the time series quantities
1558	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
1559	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
1560	ts_value(3,sr) = dt_3d
1561	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
1562	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
1563	ts_value(6,sr) = u_max
1564	ts_value(7,sr) = v_max
1565	ts_value(8,sr) = w_max
1566	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
1567	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
1568	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
1569	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
1570	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
1571	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
1572	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
1573	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
1574	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
1575	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
1576	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
1577	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
1578	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
1579
1580	IF ( .NOT. neutral ) THEN
1581	ts_value(22,sr) = hom(nzb,1,114,sr) ! L
1582	ELSE
1583	ts_value(22,sr) = 1.0E10_wp
1584	ENDIF
1585
1586	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
1587
1588	!
1589	!-- Collect land surface model timeseries
1590	IF ( land_surface ) THEN
1591	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf_eb
1592	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! shf_eb
1593	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_eb
1594	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_liq_eb
1595	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! qsws_soil_eb
1596	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! qsws_veg_eb
1597	ts_value(dots_soil+6,sr) = hom(nzb,1,99,sr) ! r_a
1598	ts_value(dots_soil+7,sr) = hom(nzb,1,100,sr) ! r_s
1599	ENDIF
1600	!
1601	!-- Collect radiation model timeseries
1602	IF ( radiation ) THEN
1603	ts_value(dots_rad,sr) = hom(nzb,1,101,sr) ! rad_net
1604	ts_value(dots_rad+1,sr) = hom(nzb,1,102,sr) ! rad_lw_in
1605	ts_value(dots_rad+2,sr) = hom(nzb,1,103,sr) ! rad_lw_out
1606	ts_value(dots_rad+3,sr) = hom(nzb,1,104,sr) ! rad_sw_in
1607	ts_value(dots_rad+4,sr) = hom(nzb,1,105,sr) ! rad_sw_out
1608
1609	#if defined ( __rrtmg )
1610	IF ( radiation_scheme == 'rrtmg' ) THEN
1611	ts_value(dots_rad+5,sr) = hom(nzb,1,110,sr) ! rrtm_aldif
1612	ts_value(dots_rad+6,sr) = hom(nzb,1,111,sr) ! rrtm_aldir
1613	ts_value(dots_rad+7,sr) = hom(nzb,1,112,sr) ! rrtm_asdif
1614	ts_value(dots_rad+8,sr) = hom(nzb,1,113,sr) ! rrtm_asdir
1615	ENDIF
1616	#endif
1617
1618	ENDIF
1619
1620	!
1621	!-- Calculate additional statistics provided by the user interface
1622	CALL user_statistics( 'time_series', sr, 0 )
1623
1624	ENDDO ! loop of the subregions
1625
1626	!
1627	!-- If required, sum up horizontal averages for subsequent time averaging
1628	IF ( do_sum ) THEN
1629	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
1630	hom_sum = hom_sum + hom(:,1,:,:)
1631	average_count_pr = average_count_pr + 1
1632	do_sum = .FALSE.
1633	ENDIF
1634
1635	!
1636	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
1637	!-- This flag is reset after each time step in time_integration.
1638	flow_statistics_called = .TRUE.
1639
1640	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
1641
1642
1643	END SUBROUTINE flow_statistics
1644
1645
1646	#else
1647
1648
1649	!------------------------------------------------------------------------------!
1650	! Description:
1651	! ------------
1652	!> flow statistics - accelerator version
1653	!------------------------------------------------------------------------------!
1654	SUBROUTINE flow_statistics
1655
1656	USE arrays_3d, &
1657	ONLY: ddzu, ddzw, e, hyp, km, kh, nr, p, prho, pt, q, qc, ql, qr, qs, &
1658	qsws, qswst, rho, sa, saswsb, saswst, shf, td_lsa_lpt, td_lsa_q,&
1659	td_sub_lpt, td_sub_q, time_vert, ts, tswst, u, ug, us, usws, &
1660	uswst, vsws, v, vg, vpt, vswst, w, w_subs, zw
1661
1662
1663	USE cloud_parameters, &
1664	ONLY: l_d_cp, prr, pt_d_t
1665
1666	USE control_parameters, &
1667	ONLY : average_count_pr, cloud_droplets, cloud_physics, do_sum, &
1668	dt_3d, g, humidity, icloud_scheme, kappa, large_scale_forcing, &
1669	large_scale_subsidence, max_pr_user, message_string, neutral, &
1670	ocean, passive_scalar, precipitation, simulated_time, &
1671	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
1672	ws_scheme_mom, ws_scheme_sca
1673
1674	USE cpulog, &
1675	ONLY: cpu_log, log_point
1676
1677	USE grid_variables, &
1678	ONLY: ddx, ddy
1679
1680	USE indices, &
1681	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
1682	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzb_diff_s_inner, &
1683	nzb_s_inner, nzt, nzt_diff, rflags_invers
1684
1685	USE kinds
1686
1687	USE land_surface_model_mod, &
1688	ONLY: ghf_eb, land_surface, m_soil, nzb_soil, nzt_soil, &
1689	qsws_eb, qsws_liq_eb, qsws_soil_eb, qsws_veg_eb, r_a, r_s, &
1690	shf_eb, t_soil
1691
1692	USE netcdf_interface, &
1693	ONLY: dots_rad, dots_soil
1694
1695	USE pegrid
1696
1697	USE radiation_model_mod, &
1698	ONLY: radiation, radiation_scheme, rad_net, &
1699	rad_lw_in, rad_lw_out, rad_sw_in, rad_sw_out
1700
1701	#if defined ( __rrtmg )
1702	USE radiation_model_mod, &
1703	ONLY: rrtm_aldif, rrtm_aldir, rrtm_asdif, rrtm_asdir, rad_lw_cs_hr, &
1704	rad_lw_hr, rad_sw_cs_hr, rad_sw_hr
1705	#endif
1706
1707	USE statistics
1708
1709	IMPLICIT NONE
1710
1711	INTEGER(iwp) :: i !<
1712	INTEGER(iwp) :: j !<
1713	INTEGER(iwp) :: k !<
1714	INTEGER(iwp) :: k_surface_level !<
1715	INTEGER(iwp) :: nt !<
1716	INTEGER(iwp) :: omp_get_thread_num !<
1717	INTEGER(iwp) :: sr !<
1718	INTEGER(iwp) :: tn !<
1719
1720	LOGICAL :: first !<
1721
1722	REAL(wp) :: dptdz_threshold !<
1723	REAL(wp) :: fac !<
1724	REAL(wp) :: height !<
1725	REAL(wp) :: pts !<
1726	REAL(wp) :: sums_l_eper !<
1727	REAL(wp) :: sums_l_etot !<
1728	REAL(wp) :: s1 !<
1729	REAL(wp) :: s2 !<
1730	REAL(wp) :: s3 !<
1731	REAL(wp) :: s4 !<
1732	REAL(wp) :: s5 !<
1733	REAL(wp) :: s6 !<
1734	REAL(wp) :: s7 !<
1735	REAL(wp) :: ust !<
1736	REAL(wp) :: ust2 !<
1737	REAL(wp) :: u2 !<
1738	REAL(wp) :: vst !<
1739	REAL(wp) :: vst2 !<
1740	REAL(wp) :: v2 !<
1741	REAL(wp) :: w2 !<
1742	REAL(wp) :: z_i(2) !<
1743
1744	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
1745	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
1746
1747	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
1748
1749	!
1750	!-- To be on the safe side, check whether flow_statistics has already been
1751	!-- called once after the current time step
1752	IF ( flow_statistics_called ) THEN
1753
1754	message_string = 'flow_statistics is called two times within one ' // &
1755	'timestep'
1756	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
1757
1758	ENDIF
1759
1760	!$acc data create( sums, sums_l )
1761	!$acc update device( hom )
1762
1763	!
1764	!-- Compute statistics for each (sub-)region
1765	DO sr = 0, statistic_regions
1766
1767	!
1768	!-- Initialize (local) summation array
1769	sums_l = 0.0_wp
1770
1771	!
1772	!-- Store sums that have been computed in other subroutines in summation
1773	!-- array
1774	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
1775	!-- WARNING: next line still has to be adjusted for OpenMP
1776	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
1777	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
1778	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
1779
1780	!
1781	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
1782	!-- scale) vertical fluxes and velocity variances by using commonly-
1783	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
1784	!-- in combination with the 5th order advection scheme, pronounced
1785	!-- artificial kinks could be observed in the vertical profiles near the
1786	!-- surface. Please note: these kinks were not related to the model truth,
1787	!-- i.e. these kinks are just related to an evaluation problem.
1788	!-- In order avoid these kinks, vertical fluxes and horizontal as well
1789	!-- vertical velocity variances are calculated directly within the advection
1790	!-- routines, according to the numerical discretization, to evaluate the
1791	!-- statistical quantities as they will appear within the prognostic
1792	!-- equations.
1793	!-- Copy the turbulent quantities, evaluated in the advection routines to
1794	!-- the local array sums_l() for further computations.
1795	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
1796
1797	!
1798	!-- According to the Neumann bc for the horizontal velocity components,
1799	!-- the corresponding fluxes has to satisfiy the same bc.
1800	IF ( ocean ) THEN
1801	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
1802	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
1803	ENDIF
1804
1805	DO i = 0, threads_per_task-1
1806	!
1807	!-- Swap the turbulent quantities evaluated in advec_ws.
1808	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
1809	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
1810	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
1811	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
1812	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
1813	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
1814	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
1815	sums_ws2_ws_l(:,i) ) ! e*
1816	DO k = nzb, nzt
1817	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5_wp * ( &
1818	sums_us2_ws_l(k,i) + &
1819	sums_vs2_ws_l(k,i) + &
1820	sums_ws2_ws_l(k,i) )
1821	ENDDO
1822	ENDDO
1823
1824	ENDIF
1825
1826	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1827
1828	DO i = 0, threads_per_task-1
1829	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
1830	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
1831	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
1832	sums_wsqs_ws_l(:,i) !wq
1833	ENDDO
1834
1835	ENDIF
1836	!
1837	!-- Horizontally averaged profiles of horizontal velocities and temperature.
1838	!-- They must have been computed before, because they are already required
1839	!-- for other horizontal averages.
1840	tn = 0
1841
1842	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1843	#if defined( __intel_openmp_bug )
1844	tn = omp_get_thread_num()
1845	#else
1846	!$ tn = omp_get_thread_num()
1847	#endif
1848
1849	!$acc update device( sums_l )
1850
1851	!$OMP DO
1852	!$acc parallel loop gang present( pt, rflags_invers, rmask, sums_l, u, v ) create( s1, s2, s3 )
1853	DO k = nzb, nzt+1
1854	s1 = 0
1855	s2 = 0
1856	s3 = 0
1857	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
1858	DO i = nxl, nxr
1859	DO j = nys, nyn
1860	!
1861	!-- k+1 is used in rflags since rflags is set 0 at surface points
1862	s1 = s1 + u(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1863	s2 = s2 + v(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1864	s3 = s3 + pt(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1865	ENDDO
1866	ENDDO
1867	sums_l(k,1,tn) = s1
1868	sums_l(k,2,tn) = s2
1869	sums_l(k,4,tn) = s3
1870	ENDDO
1871	!$acc end parallel loop
1872
1873	!
1874	!-- Horizontally averaged profile of salinity
1875	IF ( ocean ) THEN
1876	!$OMP DO
1877	!$acc parallel loop gang present( rflags_invers, rmask, sums_l, sa ) create( s1 )
1878	DO k = nzb, nzt+1
1879	s1 = 0
1880	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1881	DO i = nxl, nxr
1882	DO j = nys, nyn
1883	s1 = s1 + sa(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1884	ENDDO
1885	ENDDO
1886	sums_l(k,23,tn) = s1
1887	ENDDO
1888	!$acc end parallel loop
1889	ENDIF
1890
1891	!
1892	!-- Horizontally averaged profiles of virtual potential temperature,
1893	!-- total water content, specific humidity and liquid water potential
1894	!-- temperature
1895	IF ( humidity ) THEN
1896
1897	!$OMP DO
1898	!$acc parallel loop gang present( q, rflags_invers, rmask, sums_l, vpt ) create( s1, s2 )
1899	DO k = nzb, nzt+1
1900	s1 = 0
1901	s2 = 0
1902	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
1903	DO i = nxl, nxr
1904	DO j = nys, nyn
1905	s1 = s1 + q(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1906	s2 = s2 + vpt(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1907	ENDDO
1908	ENDDO
1909	sums_l(k,41,tn) = s1
1910	sums_l(k,44,tn) = s2
1911	ENDDO
1912	!$acc end parallel loop
1913
1914	IF ( cloud_physics ) THEN
1915	!$OMP DO
1916	!$acc parallel loop gang present( pt, q, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
1917	DO k = nzb, nzt+1
1918	s1 = 0
1919	s2 = 0
1920	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
1921	DO i = nxl, nxr
1922	DO j = nys, nyn
1923	s1 = s1 + ( q(k,j,i) - ql(k,j,i) ) * &
1924	rmask(j,i,sr) * rflags_invers(j,i,k+1)
1925	s2 = s2 + ( pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) ) * &
1926	rmask(j,i,sr) * rflags_invers(j,i,k+1)
1927	ENDDO
1928	ENDDO
1929	sums_l(k,42,tn) = s1
1930	sums_l(k,43,tn) = s2
1931	ENDDO
1932	!$acc end parallel loop
1933	ENDIF
1934	ENDIF
1935
1936	!
1937	!-- Horizontally averaged profiles of passive scalar
1938	IF ( passive_scalar ) THEN
1939	!$OMP DO
1940	!$acc parallel loop gang present( q, rflags_invers, rmask, sums_l ) create( s1 )
1941	DO k = nzb, nzt+1
1942	s1 = 0
1943	!$acc loop vector collapse( 2 ) reduction( +: s1 )
1944	DO i = nxl, nxr
1945	DO j = nys, nyn
1946	s1 = s1 + q(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
1947	ENDDO
1948	ENDDO
1949	sums_l(k,41,tn) = s1
1950	ENDDO
1951	!$acc end parallel loop
1952	ENDIF
1953	!$OMP END PARALLEL
1954
1955	!
1956	!-- Summation of thread sums
1957	IF ( threads_per_task > 1 ) THEN
1958	DO i = 1, threads_per_task-1
1959	!$acc parallel present( sums_l )
1960	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
1961	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
1962	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
1963	!$acc end parallel
1964	IF ( ocean ) THEN
1965	!$acc parallel present( sums_l )
1966	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
1967	!$acc end parallel
1968	ENDIF
1969	IF ( humidity ) THEN
1970	!$acc parallel present( sums_l )
1971	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
1972	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
1973	!$acc end parallel
1974	IF ( cloud_physics ) THEN
1975	!$acc parallel present( sums_l )
1976	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
1977	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
1978	!$acc end parallel
1979	ENDIF
1980	ENDIF
1981	IF ( passive_scalar ) THEN
1982	!$acc parallel present( sums_l )
1983	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
1984	!$acc end parallel
1985	ENDIF
1986	ENDDO
1987	ENDIF
1988
1989	#if defined( __parallel )
1990	!
1991	!-- Compute total sum from local sums
1992	!$acc update host( sums_l )
1993	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1994	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
1995	MPI_SUM, comm2d, ierr )
1996	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1997	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
1998	MPI_SUM, comm2d, ierr )
1999	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2000	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
2001	MPI_SUM, comm2d, ierr )
2002	IF ( ocean ) THEN
2003	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2004	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
2005	MPI_REAL, MPI_SUM, comm2d, ierr )
2006	ENDIF
2007	IF ( humidity ) THEN
2008	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2009	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
2010	MPI_REAL, MPI_SUM, comm2d, ierr )
2011	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2012	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
2013	MPI_REAL, MPI_SUM, comm2d, ierr )
2014	IF ( cloud_physics ) THEN
2015	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2016	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
2017	MPI_REAL, MPI_SUM, comm2d, ierr )
2018	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2019	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
2020	MPI_REAL, MPI_SUM, comm2d, ierr )
2021	ENDIF
2022	ENDIF
2023
2024	IF ( passive_scalar ) THEN
2025	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
2026	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
2027	MPI_REAL, MPI_SUM, comm2d, ierr )
2028	ENDIF
2029	!$acc update device( sums )
2030	#else
2031	!$acc parallel present( sums, sums_l )
2032	sums(:,1) = sums_l(:,1,0)
2033	sums(:,2) = sums_l(:,2,0)
2034	sums(:,4) = sums_l(:,4,0)
2035	!$acc end parallel
2036	IF ( ocean ) THEN
2037	!$acc parallel present( sums, sums_l )
2038	sums(:,23) = sums_l(:,23,0)
2039	!$acc end parallel
2040	ENDIF
2041	IF ( humidity ) THEN
2042	!$acc parallel present( sums, sums_l )
2043	sums(:,44) = sums_l(:,44,0)
2044	sums(:,41) = sums_l(:,41,0)
2045	!$acc end parallel
2046	IF ( cloud_physics ) THEN
2047	!$acc parallel present( sums, sums_l )
2048	sums(:,42) = sums_l(:,42,0)
2049	sums(:,43) = sums_l(:,43,0)
2050	!$acc end parallel
2051	ENDIF
2052	ENDIF
2053	IF ( passive_scalar ) THEN
2054	!$acc parallel present( sums, sums_l )
2055	sums(:,41) = sums_l(:,41,0)
2056	!$acc end parallel
2057	ENDIF
2058	#endif
2059
2060	!
2061	!-- Final values are obtained by division by the total number of grid points
2062	!-- used for summation. After that store profiles.
2063	!$acc parallel present( hom, ngp_2dh, ngp_2dh_s_inner, sums )
2064	sums(:,1) = sums(:,1) / ngp_2dh(sr)
2065	sums(:,2) = sums(:,2) / ngp_2dh(sr)
2066	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
2067	hom(:,1,1,sr) = sums(:,1) ! u
2068	hom(:,1,2,sr) = sums(:,2) ! v
2069	hom(:,1,4,sr) = sums(:,4) ! pt
2070	!$acc end parallel
2071
2072	!
2073	!-- Salinity
2074	IF ( ocean ) THEN
2075	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
2076	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
2077	hom(:,1,23,sr) = sums(:,23) ! sa
2078	!$acc end parallel
2079	ENDIF
2080
2081	!
2082	!-- Humidity and cloud parameters
2083	IF ( humidity ) THEN
2084	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
2085	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
2086	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
2087	hom(:,1,44,sr) = sums(:,44) ! vpt
2088	hom(:,1,41,sr) = sums(:,41) ! qv (q)
2089	!$acc end parallel
2090	IF ( cloud_physics ) THEN
2091	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
2092	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
2093	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
2094	hom(:,1,42,sr) = sums(:,42) ! qv
2095	hom(:,1,43,sr) = sums(:,43) ! pt
2096	!$acc end parallel
2097	ENDIF
2098	ENDIF
2099
2100	!
2101	!-- Passive scalar
2102	IF ( passive_scalar ) THEN
2103	!$acc parallel present( hom, ngp_2dh_s_inner, sums )
2104	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
2105	hom(:,1,41,sr) = sums(:,41) ! s (q)
2106	!$acc end parallel
2107	ENDIF
2108
2109	!
2110	!-- Horizontally averaged profiles of the remaining prognostic variables,
2111	!-- variances, the total and the perturbation energy (single values in last
2112	!-- column of sums_l) and some diagnostic quantities.
2113	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
2114	!-- ---- speaking the following k-loop would have to be split up and
2115	!-- rearranged according to the staggered grid.
2116	!-- However, this implies no error since staggered velocity components
2117	!-- are zero at the walls and inside buildings.
2118	tn = 0
2119	#if defined( __intel_openmp_bug )
2120	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
2121	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
2122	tn = omp_get_thread_num()
2123	#else
2124	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
2125	!$ tn = omp_get_thread_num()
2126	#endif
2127	!$OMP DO
2128	!$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 )
2129	DO k = nzb, nzt+1
2130	s1 = 0
2131	s2 = 0
2132	s3 = 0
2133	s4 = 0
2134	s5 = 0
2135	s6 = 0
2136	s7 = 0
2137	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5, s6, s7 )
2138	DO i = nxl, nxr
2139	DO j = nys, nyn
2140	!
2141	!-- Prognostic and diagnostic variables
2142	s1 = s1 + w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2143	s2 = s2 + e(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2144	s3 = s3 + km(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2145	s4 = s4 + kh(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2146	s5 = s5 + p(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2147	s6 = s6 + ( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr) * &
2148	rflags_invers(j,i,k+1)
2149	!
2150	!-- Higher moments
2151	!-- (Computation of the skewness of w further below)
2152	s7 = s7 + w(k,j,i)*3 rmask(j,i,sr) * rflags_invers(j,i,k+1)
2153	ENDDO
2154	ENDDO
2155	sums_l(k,3,tn) = s1
2156	sums_l(k,8,tn) = s2
2157	sums_l(k,9,tn) = s3
2158	sums_l(k,10,tn) = s4
2159	sums_l(k,40,tn) = s5
2160	sums_l(k,33,tn) = s6
2161	sums_l(k,38,tn) = s7
2162	ENDDO
2163	!$acc end parallel loop
2164
2165	IF ( humidity ) THEN
2166	!$OMP DO
2167	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l ) create( s1 )
2168	DO k = nzb, nzt+1
2169	s1 = 0
2170	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2171	DO i = nxl, nxr
2172	DO j = nys, nyn
2173	s1 = s1 + ( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr) * &
2174	rflags_invers(j,i,k+1)
2175	ENDDO
2176	ENDDO
2177	sums_l(k,70,tn) = s1
2178	ENDDO
2179	!$acc end parallel loop
2180	ENDIF
2181
2182	!
2183	!-- Total and perturbation energy for the total domain (being
2184	!-- collected in the last column of sums_l).
2185	s1 = 0
2186	!$OMP DO
2187	!$acc parallel loop collapse(3) present( rflags_invers, rmask, u, v, w ) reduction(+:s1)
2188	DO i = nxl, nxr
2189	DO j = nys, nyn
2190	DO k = nzb, nzt+1
2191	s1 = s1 + 0.5_wp * &
2192	( u(k,j,i)2 + v(k,j,i)2 + w(k,j,i)*2 ) &
2193	rmask(j,i,sr) * rflags_invers(j,i,k+1)
2194	ENDDO
2195	ENDDO
2196	ENDDO
2197	!$acc end parallel loop
2198	!$acc parallel present( sums_l )
2199	sums_l(nzb+4,pr_palm,tn) = s1
2200	!$acc end parallel
2201
2202	!$OMP DO
2203	!$acc parallel present( rmask, sums_l, us, usws, vsws, ts ) create( s1, s2, s3, s4 )
2204	s1 = 0
2205	s2 = 0
2206	s3 = 0
2207	s4 = 0
2208	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
2209	DO i = nxl, nxr
2210	DO j = nys, nyn
2211	!
2212	!-- 2D-arrays (being collected in the last column of sums_l)
2213	s1 = s1 + us(j,i) * rmask(j,i,sr)
2214	s2 = s2 + usws(j,i) * rmask(j,i,sr)
2215	s3 = s3 + vsws(j,i) * rmask(j,i,sr)
2216	s4 = s4 + ts(j,i) * rmask(j,i,sr)
2217	ENDDO
2218	ENDDO
2219	sums_l(nzb,pr_palm,tn) = s1
2220	sums_l(nzb+1,pr_palm,tn) = s2
2221	sums_l(nzb+2,pr_palm,tn) = s3
2222	sums_l(nzb+3,pr_palm,tn) = s4
2223	!$acc end parallel
2224
2225	IF ( humidity ) THEN
2226	!$acc parallel present( qs, rmask, sums_l ) create( s1 )
2227	s1 = 0
2228	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2229	DO i = nxl, nxr
2230	DO j = nys, nyn
2231	s1 = s1 + qs(j,i) * rmask(j,i,sr)
2232	ENDDO
2233	ENDDO
2234	sums_l(nzb+12,pr_palm,tn) = s1
2235	!$acc end parallel
2236	ENDIF
2237
2238	!
2239	!-- Computation of statistics when ws-scheme is not used. Else these
2240	!-- quantities are evaluated in the advection routines.
2241	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
2242
2243	!$OMP DO
2244	!$acc parallel loop gang present( u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3, s4, ust2, vst2, w2 )
2245	DO k = nzb, nzt+1
2246	s1 = 0
2247	s2 = 0
2248	s3 = 0
2249	s4 = 0
2250	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
2251	DO i = nxl, nxr
2252	DO j = nys, nyn
2253	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
2254	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
2255	w2 = w(k,j,i)**2
2256
2257	s1 = s1 + ust2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2258	s2 = s2 + vst2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2259	s3 = s3 + w2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2260	!
2261	!-- Perturbation energy
2262	s4 = s4 + 0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * &
2263	rflags_invers(j,i,k+1)
2264	ENDDO
2265	ENDDO
2266	sums_l(k,30,tn) = s1
2267	sums_l(k,31,tn) = s2
2268	sums_l(k,32,tn) = s3
2269	sums_l(k,34,tn) = s4
2270	ENDDO
2271	!$acc end parallel loop
2272	!
2273	!-- Total perturbation TKE
2274	!$OMP DO
2275	!$acc parallel present( sums_l ) create( s1 )
2276	s1 = 0
2277	!$acc loop reduction( +: s1 )
2278	DO k = nzb, nzt+1
2279	s1 = s1 + sums_l(k,34,tn)
2280	ENDDO
2281	sums_l(nzb+5,pr_palm,tn) = s1
2282	!$acc end parallel
2283
2284	ENDIF
2285
2286	!
2287	!-- Horizontally averaged profiles of the vertical fluxes
2288
2289	!
2290	!-- Subgridscale fluxes.
2291	!-- WARNING: If a Prandtl-layer is used (k=nzb for flat terrain), the fluxes
2292	!-- ------- should be calculated there in a different way. This is done
2293	!-- in the next loop further below, where results from this loop are
2294	!-- overwritten. However, THIS WORKS IN CASE OF FLAT TERRAIN ONLY!
2295	!-- The non-flat case still has to be handled.
2296	!-- NOTE: for simplicity, nzb_s_inner is used below, although
2297	!-- ---- strictly speaking the following k-loop would have to be
2298	!-- split up according to the staggered grid.
2299	!-- However, this implies no error since staggered velocity
2300	!-- components are zero at the walls and inside buildings.
2301	!$OMP DO
2302	!$acc parallel loop gang present( ddzu, kh, km, pt, u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
2303	DO k = nzb, nzt_diff
2304	s1 = 0
2305	s2 = 0
2306	s3 = 0
2307	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2308	DO i = nxl, nxr
2309	DO j = nys, nyn
2310
2311	!
2312	!-- Momentum flux w"u"
2313	s1 = s1 - 0.25_wp * ( &
2314	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
2315	) * ( &
2316	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
2317	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
2318	) &
2319	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2320	!
2321	!-- Momentum flux w"v"
2322	s2 = s2 - 0.25_wp * ( &
2323	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
2324	) * ( &
2325	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
2326	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
2327	) &
2328	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2329	!
2330	!-- Heat flux w"pt"
2331	s3 = s3 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2332	* ( pt(k+1,j,i) - pt(k,j,i) ) &
2333	* ddzu(k+1) * rmask(j,i,sr) &
2334	* rflags_invers(j,i,k+1)
2335	ENDDO
2336	ENDDO
2337	sums_l(k,12,tn) = s1
2338	sums_l(k,14,tn) = s2
2339	sums_l(k,16,tn) = s3
2340	ENDDO
2341	!$acc end parallel loop
2342
2343	!
2344	!-- Salinity flux w"sa"
2345	IF ( ocean ) THEN
2346	!$acc parallel loop gang present( ddzu, kh, sa, rflags_invers, rmask, sums_l ) create( s1 )
2347	DO k = nzb, nzt_diff
2348	s1 = 0
2349	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2350	DO i = nxl, nxr
2351	DO j = nys, nyn
2352	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2353	* ( sa(k+1,j,i) - sa(k,j,i) ) &
2354	* ddzu(k+1) * rmask(j,i,sr) &
2355	* rflags_invers(j,i,k+1)
2356	ENDDO
2357	ENDDO
2358	sums_l(k,65,tn) = s1
2359	ENDDO
2360	!$acc end parallel loop
2361	ENDIF
2362
2363	!
2364	!-- Buoyancy flux, water flux (humidity flux) w"q"
2365	IF ( humidity ) THEN
2366
2367	!$acc parallel loop gang present( ddzu, kh, q, vpt, rflags_invers, rmask, sums_l ) create( s1, s2 )
2368	DO k = nzb, nzt_diff
2369	s1 = 0
2370	s2 = 0
2371	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2372	DO i = nxl, nxr
2373	DO j = nys, nyn
2374	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2375	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
2376	* ddzu(k+1) * rmask(j,i,sr) &
2377	* rflags_invers(j,i,k+1)
2378	s2 = s2 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2379	* ( q(k+1,j,i) - q(k,j,i) ) &
2380	* ddzu(k+1) * rmask(j,i,sr) &
2381	* rflags_invers(j,i,k+1)
2382	ENDDO
2383	ENDDO
2384	sums_l(k,45,tn) = s1
2385	sums_l(k,48,tn) = s2
2386	ENDDO
2387	!$acc end parallel loop
2388
2389	IF ( cloud_physics ) THEN
2390
2391	!$acc parallel loop gang present( ddzu, kh, q, ql, rflags_invers, rmask, sums_l ) create( s1 )
2392	DO k = nzb, nzt_diff
2393	s1 = 0
2394	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2395	DO i = nxl, nxr
2396	DO j = nys, nyn
2397	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2398	* ( ( q(k+1,j,i) - ql(k+1,j,i) ) &
2399	- ( q(k,j,i) - ql(k,j,i) ) ) &
2400	* ddzu(k+1) * rmask(j,i,sr) &
2401	* rflags_invers(j,i,k+1)
2402	ENDDO
2403	ENDDO
2404	sums_l(k,51,tn) = s1
2405	ENDDO
2406	!$acc end parallel loop
2407
2408	ENDIF
2409
2410	ENDIF
2411	!
2412	!-- Passive scalar flux
2413	IF ( passive_scalar ) THEN
2414
2415	!$acc parallel loop gang present( ddzu, kh, q, rflags_invers, rmask, sums_l ) create( s1 )
2416	DO k = nzb, nzt_diff
2417	s1 = 0
2418	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2419	DO i = nxl, nxr
2420	DO j = nys, nyn
2421	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2422	* ( q(k+1,j,i) - q(k,j,i) ) &
2423	* ddzu(k+1) * rmask(j,i,sr) &
2424	* rflags_invers(j,i,k+1)
2425	ENDDO
2426	ENDDO
2427	sums_l(k,48,tn) = s1
2428	ENDDO
2429	!$acc end parallel loop
2430
2431	ENDIF
2432
2433	IF ( use_surface_fluxes ) THEN
2434
2435	!$OMP DO
2436	!$acc parallel present( rmask, shf, sums_l, usws, vsws ) create( s1, s2, s3, s4, s5 )
2437	s1 = 0
2438	s2 = 0
2439	s3 = 0
2440	s4 = 0
2441	s5 = 0
2442	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
2443	DO i = nxl, nxr
2444	DO j = nys, nyn
2445	!
2446	!-- Subgridscale fluxes in the Prandtl layer
2447	s1 = s1 + usws(j,i) * rmask(j,i,sr) ! w"u"
2448	s2 = s2 + vsws(j,i) * rmask(j,i,sr) ! w"v"
2449	s3 = s3 + shf(j,i) * rmask(j,i,sr) ! w"pt"
2450	s4 = s4 + 0.0_wp * rmask(j,i,sr) ! u"pt"
2451	s5 = s5 + 0.0_wp * rmask(j,i,sr) ! v"pt"
2452	ENDDO
2453	ENDDO
2454	sums_l(nzb,12,tn) = s1
2455	sums_l(nzb,14,tn) = s2
2456	sums_l(nzb,16,tn) = s3
2457	sums_l(nzb,58,tn) = s4
2458	sums_l(nzb,61,tn) = s5
2459	!$acc end parallel
2460
2461	IF ( ocean ) THEN
2462
2463	!$OMP DO
2464	!$acc parallel present( rmask, saswsb, sums_l ) create( s1 )
2465	s1 = 0
2466	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2467	DO i = nxl, nxr
2468	DO j = nys, nyn
2469	s1 = s1 + saswsb(j,i) * rmask(j,i,sr) ! w"sa"
2470	ENDDO
2471	ENDDO
2472	sums_l(nzb,65,tn) = s1
2473	!$acc end parallel
2474
2475	ENDIF
2476
2477	IF ( humidity ) THEN
2478
2479	!$OMP DO
2480	!$acc parallel present( pt, q, qsws, rmask, shf, sums_l ) create( s1, s2 )
2481	s1 = 0
2482	s2 = 0
2483	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2484	DO i = nxl, nxr
2485	DO j = nys, nyn
2486	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2487	s2 = s2 + ( ( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * shf(j,i) &
2488	+ 0.61_wp * pt(nzb,j,i) * qsws(j,i) )
2489	ENDDO
2490	ENDDO
2491	sums_l(nzb,48,tn) = s1
2492	sums_l(nzb,45,tn) = s2
2493	!$acc end parallel
2494
2495	IF ( cloud_droplets ) THEN
2496
2497	!$OMP DO
2498	!$acc parallel present( pt, q, ql, qsws, rmask, shf, sums_l ) create( s1 )
2499	s1 = 0
2500	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2501	DO i = nxl, nxr
2502	DO j = nys, nyn
2503	s1 = s1 + ( ( 1.0_wp + &
2504	0.61_wp * q(nzb,j,i) - ql(nzb,j,i) ) * &
2505	shf(j,i) + 0.61_wp * pt(nzb,j,i) * qsws(j,i) )
2506	ENDDO
2507	ENDDO
2508	sums_l(nzb,45,tn) = s1
2509	!$acc end parallel
2510
2511	ENDIF
2512
2513	IF ( cloud_physics ) THEN
2514
2515	!$OMP DO
2516	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
2517	s1 = 0
2518	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2519	DO i = nxl, nxr
2520	DO j = nys, nyn
2521	!
2522	!-- Formula does not work if ql(nzb) /= 0.0
2523	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2524	ENDDO
2525	ENDDO
2526	sums_l(nzb,51,tn) = s1
2527	!$acc end parallel
2528
2529	ENDIF
2530
2531	ENDIF
2532
2533	IF ( passive_scalar ) THEN
2534
2535	!$OMP DO
2536	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
2537	s1 = 0
2538	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2539	DO i = nxl, nxr
2540	DO j = nys, nyn
2541	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2542	ENDDO
2543	ENDDO
2544	sums_l(nzb,48,tn) = s1
2545	!$acc end parallel
2546
2547	ENDIF
2548
2549	ENDIF
2550
2551	!
2552	!-- Subgridscale fluxes at the top surface
2553	IF ( use_top_fluxes ) THEN
2554
2555	!$OMP DO
2556	!$acc parallel present( rmask, sums_l, tswst, uswst, vswst ) create( s1, s2, s3, s4, s5 )
2557	s1 = 0
2558	s2 = 0
2559	s3 = 0
2560	s4 = 0
2561	s5 = 0
2562	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
2563	DO i = nxl, nxr
2564	DO j = nys, nyn
2565	s1 = s1 + uswst(j,i) * rmask(j,i,sr) ! w"u"
2566	s2 = s2 + vswst(j,i) * rmask(j,i,sr) ! w"v"
2567	s3 = s3 + tswst(j,i) * rmask(j,i,sr) ! w"pt"
2568	s4 = s4 + 0.0_wp * rmask(j,i,sr) ! u"pt"
2569	s5 = s5 + 0.0_wp * rmask(j,i,sr) ! v"pt"
2570	ENDDO
2571	ENDDO
2572	sums_l(nzt:nzt+1,12,tn) = s1
2573	sums_l(nzt:nzt+1,14,tn) = s2
2574	sums_l(nzt:nzt+1,16,tn) = s3
2575	sums_l(nzt:nzt+1,58,tn) = s4
2576	sums_l(nzt:nzt+1,61,tn) = s5
2577	!$acc end parallel
2578
2579	IF ( ocean ) THEN
2580
2581	!$OMP DO
2582	!$acc parallel present( rmask, saswst, sums_l ) create( s1 )
2583	s1 = 0
2584	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2585	DO i = nxl, nxr
2586	DO j = nys, nyn
2587	s1 = s1 + saswst(j,i) * rmask(j,i,sr) ! w"sa"
2588	ENDDO
2589	ENDDO
2590	sums_l(nzt,65,tn) = s1
2591	!$acc end parallel
2592
2593	ENDIF
2594
2595	IF ( humidity ) THEN
2596
2597	!$OMP DO
2598	!$acc parallel present( pt, q, qswst, rmask, tswst, sums_l ) create( s1, s2 )
2599	s1 = 0
2600	s2 = 0
2601	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2602	DO i = nxl, nxr
2603	DO j = nys, nyn
2604	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2605	s2 = s2 + ( ( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * tswst(j,i) +&
2606	0.61_wp * pt(nzt,j,i) * qswst(j,i) )
2607	ENDDO
2608	ENDDO
2609	sums_l(nzt,48,tn) = s1
2610	sums_l(nzt,45,tn) = s2
2611	!$acc end parallel
2612
2613	IF ( cloud_droplets ) THEN
2614
2615	!$OMP DO
2616	!$acc parallel present( pt, q, ql, qswst, rmask, tswst, sums_l ) create( s1 )
2617	s1 = 0
2618	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2619	DO i = nxl, nxr
2620	DO j = nys, nyn
2621	s1 = s1 + ( ( 1.0_wp + &
2622	0.61_wp * q(nzt,j,i) - ql(nzt,j,i) ) * &
2623	tswst(j,i) + &
2624	0.61_wp * pt(nzt,j,i) * qswst(j,i) )
2625	ENDDO
2626	ENDDO
2627	sums_l(nzt,45,tn) = s1
2628	!$acc end parallel
2629
2630	ENDIF
2631
2632	IF ( cloud_physics ) THEN
2633
2634	!$OMP DO
2635	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
2636	s1 = 0
2637	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2638	DO i = nxl, nxr
2639	DO j = nys, nyn
2640	!
2641	!-- Formula does not work if ql(nzb) /= 0.0
2642	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2643	ENDDO
2644	ENDDO
2645	sums_l(nzt,51,tn) = s1
2646	!$acc end parallel
2647
2648	ENDIF
2649
2650	ENDIF
2651
2652	IF ( passive_scalar ) THEN
2653
2654	!$OMP DO
2655	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
2656	s1 = 0
2657	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2658	DO i = nxl, nxr
2659	DO j = nys, nyn
2660	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2661	ENDDO
2662	ENDDO
2663	sums_l(nzt,48,tn) = s1
2664	!$acc end parallel
2665
2666	ENDIF
2667
2668	ENDIF
2669
2670	!
2671	!-- Resolved fluxes (can be computed for all horizontal points)
2672	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
2673	!-- ---- speaking the following k-loop would have to be split up and
2674	!-- rearranged according to the staggered grid.
2675	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2, s3 )
2676	DO k = nzb, nzt_diff
2677	s1 = 0
2678	s2 = 0
2679	s3 = 0
2680	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2681	DO i = nxl, nxr
2682	DO j = nys, nyn
2683	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
2684	u(k+1,j,i) - hom(k+1,1,1,sr) )
2685	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
2686	v(k+1,j,i) - hom(k+1,1,2,sr) )
2687	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
2688	pt(k+1,j,i) - hom(k+1,1,4,sr) )
2689	!
2690	!-- Higher moments
2691	s1 = s1 + pts * w(k,j,i)*2 rmask(j,i,sr) * rflags_invers(j,i,k+1)
2692	s2 = s2 + pts*2 w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2693	!
2694	!-- Energy flux we (has to be adjusted?)
2695	s3 = s3 + w(k,j,i) * 0.5_wp * ( ust2 + vst2 + w(k,j,i)**2 )&
2696	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2697	ENDDO
2698	ENDDO
2699	sums_l(k,35,tn) = s1
2700	sums_l(k,36,tn) = s2
2701	sums_l(k,37,tn) = s3
2702	ENDDO
2703	!$acc end parallel loop
2704
2705	!
2706	!-- Salinity flux and density (density does not belong to here,
2707	!-- but so far there is no other suitable place to calculate)
2708	IF ( ocean ) THEN
2709
2710	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2711
2712	!$acc parallel loop gang present( hom, rflags_invers, rmask, sa, sums_l, w ) create( s1 )
2713	DO k = nzb, nzt_diff
2714	s1 = 0
2715	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2716	DO i = nxl, nxr
2717	DO j = nys, nyn
2718	s1 = s1 + 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
2719	sa(k+1,j,i) - hom(k+1,1,23,sr) ) &
2720	* w(k,j,i) * rmask(j,i,sr) &
2721	* rflags_invers(j,i,k+1)
2722	ENDDO
2723	ENDDO
2724	sums_l(k,66,tn) = s1
2725	ENDDO
2726	!$acc end parallel loop
2727
2728	ENDIF
2729
2730	!$acc parallel loop gang present( rflags_invers, rho, prho, rmask, sums_l ) create( s1, s2 )
2731	DO k = nzb, nzt_diff
2732	s1 = 0
2733	s2 = 0
2734	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2735	DO i = nxl, nxr
2736	DO j = nys, nyn
2737	s1 = s1 + rho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2738	s2 = s2 + prho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2739	ENDDO
2740	ENDDO
2741	sums_l(k,64,tn) = s1
2742	sums_l(k,71,tn) = s2
2743	ENDDO
2744	!$acc end parallel loop
2745
2746	ENDIF
2747
2748	!
2749	!-- Buoyancy flux, water flux, humidity flux, liquid water
2750	!-- content, rain drop concentration and rain water content
2751	IF ( humidity ) THEN
2752
2753	IF ( cloud_physics .OR. cloud_droplets ) THEN
2754
2755	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
2756	DO k = nzb, nzt_diff
2757	s1 = 0
2758	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2759	DO i = nxl, nxr
2760	DO j = nys, nyn
2761	s1 = s1 + 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
2762	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) * &
2763	w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2764	ENDDO
2765	ENDDO
2766	sums_l(k,46,tn) = s1
2767	ENDDO
2768	!$acc end parallel loop
2769
2770	IF ( .NOT. cloud_droplets ) THEN
2771
2772	!$acc parallel loop gang present( hom, q, ql, rflags_invers, rmask, sums_l, w ) create( s1 )
2773	DO k = nzb, nzt_diff
2774	s1 = 0
2775	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2776	DO i = nxl, nxr
2777	DO j = nys, nyn
2778	s1 = s1 + 0.5_wp * ( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) + &
2779	( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) ) &
2780	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2781	ENDDO
2782	ENDDO
2783	sums_l(k,52,tn) = s1
2784	ENDDO
2785	!$acc end parallel loop
2786
2787	IF ( icloud_scheme == 0 ) THEN
2788
2789	!$acc parallel loop gang present( qc, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
2790	DO k = nzb, nzt_diff
2791	s1 = 0
2792	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2793	DO i = nxl, nxr
2794	DO j = nys, nyn
2795	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2796	s2 = s2 + qc(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2797	ENDDO
2798	ENDDO
2799	sums_l(k,54,tn) = s1
2800	sums_l(k,75,tn) = s2
2801	ENDDO
2802	!$acc end parallel loop
2803
2804	IF ( precipitation ) THEN
2805
2806	!$acc parallel loop gang present( nr, qr, prr, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
2807	DO k = nzb, nzt_diff
2808	s1 = 0
2809	s2 = 0
2810	s3 = 0
2811	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2812	DO i = nxl, nxr
2813	DO j = nys, nyn
2814	s1 = s1 + nr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2815	s2 = s2 + qr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2816	s3 = s3 + prr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2817	ENDDO
2818	ENDDO
2819	sums_l(k,73,tn) = s1
2820	sums_l(k,74,tn) = s2
2821	sums_l(k,76,tn) = s3
2822	ENDDO
2823	!$acc end parallel loop
2824
2825	ENDIF
2826
2827	ELSE
2828
2829	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
2830	DO k = nzb, nzt_diff
2831	s1 = 0
2832	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2833	DO i = nxl, nxr
2834	DO j = nys, nyn
2835	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2836	ENDDO
2837	ENDDO
2838	sums_l(k,54,tn) = s1
2839	ENDDO
2840	!$acc end parallel loop
2841
2842	ENDIF
2843
2844	ELSE
2845
2846	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
2847	DO k = nzb, nzt_diff
2848	s1 = 0
2849	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2850	DO i = nxl, nxr
2851	DO j = nys, nyn
2852	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2853	ENDDO
2854	ENDDO
2855	sums_l(k,54,tn) = s1
2856	ENDDO
2857	!$acc end parallel loop
2858
2859	ENDIF
2860
2861	ELSE
2862
2863	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2864
2865	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
2866	DO k = nzb, nzt_diff
2867	s1 = 0
2868	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2869	DO i = nxl, nxr
2870	DO j = nys, nyn
2871	s1 = s1 + 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
2872	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) &
2873	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2874	ENDDO
2875	ENDDO
2876	sums_l(k,46,tn) = s1
2877	ENDDO
2878	!$acc end parallel loop
2879
2880	ELSEIF ( ws_scheme_sca .AND. sr == 0 ) THEN
2881
2882	!$acc parallel loop present( hom, sums_l )
2883	DO k = nzb, nzt_diff
2884	sums_l(k,46,tn) = ( 1.0_wp + 0.61_wp * hom(k,1,41,sr) ) * sums_l(k,17,tn) + &
2885	0.61_wp * hom(k,1,4,sr) * sums_l(k,49,tn)
2886	ENDDO
2887	!$acc end parallel loop
2888
2889	ENDIF
2890
2891	ENDIF
2892
2893	ENDIF
2894	!
2895	!-- Passive scalar flux
2896	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca .OR. sr /= 0 ) ) THEN
2897
2898	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
2899	DO k = nzb, nzt_diff
2900	s1 = 0
2901	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2902	DO i = nxl, nxr
2903	DO j = nys, nyn
2904	s1 = s1 + 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
2905	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
2906	* w(k,j,i) * rmask(j,i,sr) &
2907	* rflags_invers(j,i,k+1)
2908	ENDDO
2909	ENDDO
2910	sums_l(k,49,tn) = s1
2911	ENDDO
2912	!$acc end parallel loop
2913
2914	ENDIF
2915
2916	!
2917	!-- For speed optimization fluxes which have been computed in part directly
2918	!-- inside the WS advection routines are treated seperatly
2919	!-- Momentum fluxes first:
2920	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
2921
2922	!$OMP DO
2923	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2 )
2924	DO k = nzb, nzt_diff
2925	s1 = 0
2926	s2 = 0
2927	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2928	DO i = nxl, nxr
2929	DO j = nys, nyn
2930	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
2931	u(k+1,j,i) - hom(k+1,1,1,sr) )
2932	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
2933	v(k+1,j,i) - hom(k+1,1,2,sr) )
2934	!
2935	!-- Momentum flux wu
2936	s1 = s1 + 0.5_wp * ( w(k,j,i-1) + w(k,j,i) ) &
2937	* ust * rmask(j,i,sr) &
2938	* rflags_invers(j,i,k+1)
2939	!
2940	!-- Momentum flux wv
2941	s2 = s2 + 0.5_wp * ( w(k,j-1,i) + w(k,j,i) ) &
2942	* vst * rmask(j,i,sr) &
2943	* rflags_invers(j,i,k+1)
2944	ENDDO
2945	ENDDO
2946	sums_l(k,13,tn) = s1
2947	sums_l(k,15,tn) = s1
2948	ENDDO
2949	!$acc end parallel loop
2950
2951	ENDIF
2952
2953	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2954
2955	!$OMP DO
2956	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, w ) create( s1 )
2957	DO k = nzb, nzt_diff
2958	s1 = 0
2959	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2960	DO i = nxl, nxr
2961	DO j = nys, nyn
2962	!
2963	!-- Vertical heat flux
2964	s1 = s1 + 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
2965	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
2966	* w(k,j,i) * rmask(j,i,sr) &
2967	* rflags_invers(j,i,k+1)
2968	ENDDO
2969	ENDDO
2970	sums_l(k,17,tn) = s1
2971	ENDDO
2972	!$acc end parallel loop
2973
2974	IF ( humidity ) THEN
2975
2976	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
2977	DO k = nzb, nzt_diff
2978	s1 = 0
2979	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2980	DO i = nxl, nxr
2981	DO j = nys, nyn
2982	s1 = s1 + 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
2983	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
2984	* w(k,j,i) * rmask(j,i,sr) &
2985	* rflags_invers(j,i,k+1)
2986	ENDDO
2987	ENDDO
2988	sums_l(k,49,tn) = s1
2989	ENDDO
2990	!$acc end parallel loop
2991
2992	ENDIF
2993
2994	ENDIF
2995
2996
2997	!
2998	!-- Density at top follows Neumann condition
2999	IF ( ocean ) THEN
3000	!$acc parallel present( sums_l )
3001	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
3002	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
3003	!$acc end parallel
3004	ENDIF
3005
3006	!
3007	!-- Divergence of vertical flux of resolved scale energy and pressure
3008	!-- fluctuations as well as flux of pressure fluctuation itself (68).
3009	!-- First calculate the products, then the divergence.
3010	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
3011	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) THEN
3012
3013	STOP '+++ openACC porting for vertical flux div of resolved scale TKE in flow_statistics is still missing'
3014	sums_ll = 0.0_wp ! local array
3015
3016	!$OMP DO
3017	DO i = nxl, nxr
3018	DO j = nys, nyn
3019	DO k = nzb_s_inner(j,i)+1, nzt
3020
3021	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
3022	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
3023	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2&
3024	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
3025	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2&
3026	+ w(k,j,i)**2 )
3027
3028	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
3029	* ( p(k,j,i) + p(k+1,j,i) )
3030
3031	ENDDO
3032	ENDDO
3033	ENDDO
3034	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
3035	sums_ll(nzt+1,1) = 0.0_wp
3036	sums_ll(0,2) = 0.0_wp
3037	sums_ll(nzt+1,2) = 0.0_wp
3038
3039	DO k = nzb+1, nzt
3040	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
3041	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
3042	sums_l(k,68,tn) = sums_ll(k,2)
3043	ENDDO
3044	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
3045	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
3046	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
3047
3048	ENDIF
3049
3050	!
3051	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
3052	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) THEN
3053
3054	STOP '+++ openACC porting for vertical flux div of SGS TKE in flow_statistics is still missing'
3055	!$OMP DO
3056	DO i = nxl, nxr
3057	DO j = nys, nyn
3058	DO k = nzb_s_inner(j,i)+1, nzt
3059
3060	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
3061	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
3062	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
3063	) * ddzw(k)
3064
3065	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
3066	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
3067	)
3068
3069	ENDDO
3070	ENDDO
3071	ENDDO
3072	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
3073	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
3074
3075	ENDIF
3076
3077	!
3078	!-- Horizontal heat fluxes (subgrid, resolved, total).
3079	!-- Do it only, if profiles shall be plotted.
3080	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
3081
3082	STOP '+++ openACC porting for horizontal flux calculation in flow_statistics is still missing'
3083	!$OMP DO
3084	DO i = nxl, nxr
3085	DO j = nys, nyn
3086	DO k = nzb_s_inner(j,i)+1, nzt
3087	!
3088	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
3089	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
3090	( kh(k,j,i) + kh(k,j,i-1) ) &
3091	* ( pt(k,j,i-1) - pt(k,j,i) ) &
3092	* ddx * rmask(j,i,sr)
3093	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
3094	( kh(k,j,i) + kh(k,j-1,i) ) &
3095	* ( pt(k,j-1,i) - pt(k,j,i) ) &
3096	* ddy * rmask(j,i,sr)
3097	!
3098	!-- Resolved horizontal heat fluxes upt, vpt
3099	sums_l(k,59,tn) = sums_l(k,59,tn) + &
3100	( u(k,j,i) - hom(k,1,1,sr) ) * 0.5_wp * &
3101	( pt(k,j,i-1) - hom(k,1,4,sr) + &
3102	pt(k,j,i) - hom(k,1,4,sr) )
3103	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
3104	pt(k,j,i) - hom(k,1,4,sr) )
3105	sums_l(k,62,tn) = sums_l(k,62,tn) + &
3106	( v(k,j,i) - hom(k,1,2,sr) ) * 0.5_wp * &
3107	( pt(k,j-1,i) - hom(k,1,4,sr) + &
3108	pt(k,j,i) - hom(k,1,4,sr) )
3109	ENDDO
3110	ENDDO
3111	ENDDO
3112	!
3113	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
3114	sums_l(nzb,58,tn) = 0.0_wp
3115	sums_l(nzb,59,tn) = 0.0_wp
3116	sums_l(nzb,60,tn) = 0.0_wp
3117	sums_l(nzb,61,tn) = 0.0_wp
3118	sums_l(nzb,62,tn) = 0.0_wp
3119	sums_l(nzb,63,tn) = 0.0_wp
3120
3121	ENDIF
3122
3123	!
3124	!-- Collect current large scale advection and subsidence tendencies for
3125	!-- data output
3126	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
3127	!
3128	!-- Interpolation in time of LSF_DATA
3129	nt = 1
3130	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
3131	nt = nt + 1
3132	ENDDO
3133	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
3134	nt = nt - 1
3135	ENDIF
3136
3137	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
3138	/ ( time_vert(nt+1)-time_vert(nt) )
3139
3140
3141	DO k = nzb, nzt
3142	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
3143	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
3144	sums_ls_l(k,1) = td_lsa_q(k,nt) &
3145	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
3146	ENDDO
3147
3148	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
3149	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
3150
3151	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
3152
3153	DO k = nzb, nzt
3154	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
3155	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
3156	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
3157	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
3158	ENDDO
3159
3160	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
3161	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
3162
3163	ENDIF
3164
3165	ENDIF
3166
3167
3168	IF ( land_surface ) THEN
3169	!$OMP DO
3170	DO i = nxl, nxr
3171	DO j = nys, nyn
3172	DO k = nzb_soil, nzt_soil
3173	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil(k,j,i) &
3174	* rmask(j,i,sr)
3175	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil(k,j,i) &
3176	* rmask(j,i,sr)
3177	ENDDO
3178	ENDDO
3179	ENDDO
3180	ENDIF
3181
3182
3183	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
3184	!$OMP DO
3185	DO i = nxl, nxr
3186	DO j = nys, nyn
3187	DO k = nzb_s_inner(j,i)+1, nzt+1
3188	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_lw_in(k,j,i) &
3189	* rmask(j,i,sr)
3190	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_lw_out(k,j,i) &
3191	* rmask(j,i,sr)
3192	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_sw_in(k,j,i) &
3193	* rmask(j,i,sr)
3194	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_sw_out(k,j,i) &
3195	* rmask(j,i,sr)
3196	#if defined ( __rrtmg )
3197	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_lw_cs_hr(k,j,i) &
3198	* rmask(j,i,sr)
3199	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_lw_hr(k,j,i) &
3200	* rmask(j,i,sr)
3201	sums_l(k,108,tn) = sums_l(k,108,tn) + rad_sw_cs_hr(k,j,i) &
3202	* rmask(j,i,sr)
3203	sums_l(k,109,tn) = sums_l(k,109,tn) + rad_sw_hr(k,j,i) &
3204	* rmask(j,i,sr)
3205	#endif
3206	ENDDO
3207	ENDDO
3208	ENDDO
3209	ENDIF
3210
3211	!
3212	!-- Calculate the user-defined profiles
3213	CALL user_statistics( 'profiles', sr, tn )
3214	!$OMP END PARALLEL
3215
3216	!
3217	!-- Summation of thread sums
3218	IF ( threads_per_task > 1 ) THEN
3219	STOP '+++ openACC porting for threads_per_task > 1 in flow_statistics is still missing'
3220	DO i = 1, threads_per_task-1
3221	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
3222	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
3223	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
3224	sums_l(:,45:pr_palm,i)
3225	IF ( max_pr_user > 0 ) THEN
3226	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
3227	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
3228	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
3229	ENDIF
3230	ENDDO
3231	ENDIF
3232
3233	!$acc update host( hom, sums, sums_l )
3234
3235	#if defined( __parallel )
3236
3237	!
3238	!-- Compute total sum from local sums
3239	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
3240	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
3241	MPI_SUM, comm2d, ierr )
3242	IF ( large_scale_forcing ) THEN
3243	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
3244	MPI_REAL, MPI_SUM, comm2d, ierr )
3245	ENDIF
3246	#else
3247	sums = sums_l(:,:,0)
3248	IF ( large_scale_forcing ) THEN
3249	sums(:,81:88) = sums_ls_l
3250	ENDIF
3251	#endif
3252
3253	!
3254	!-- Final values are obtained by division by the total number of grid points
3255	!-- used for summation. After that store profiles.
3256	!-- Check, if statistical regions do contain at least one grid point at the
3257	!-- respective k-level, otherwise division by zero will lead to undefined
3258	!-- values, which may cause e.g. problems with NetCDF output
3259	!-- Profiles:
3260	DO k = nzb, nzt+1
3261	sums(k,3) = sums(k,3) / ngp_2dh(sr)
3262	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
3263	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
3264	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
3265	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
3266	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
3267	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
3268	sums(k,89:114) = sums(k,89:114) / ngp_2dh(sr)
3269	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
3270	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
3271	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
3272	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
3273	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
3274	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
3275	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
3276	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
3277	sums(k,115:pr_palm-2) = sums(k,115:pr_palm-2) / ngp_2dh_s_inner(k,sr)
3278	ENDIF
3279	ENDDO
3280
3281	!-- u* and so on
3282	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
3283	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
3284	!-- above the topography, they are being divided by ngp_2dh(sr)
3285	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
3286	ngp_2dh(sr)
3287	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
3288	ngp_2dh(sr)
3289	!-- eges, e*
3290	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
3291	ngp_3d(sr)
3292	!-- Old and new divergence
3293	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
3294	ngp_3d_inner(sr)
3295
3296	!-- User-defined profiles
3297	IF ( max_pr_user > 0 ) THEN
3298	DO k = nzb, nzt+1
3299	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
3300	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
3301	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
3302	ngp_2dh_s_inner(k,sr)
3303	ENDIF
3304	ENDDO
3305	ENDIF
3306
3307	!
3308	!-- Collect horizontal average in hom.
3309	!-- Compute deduced averages (e.g. total heat flux)
3310	hom(:,1,3,sr) = sums(:,3) ! w
3311	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
3312	hom(:,1,9,sr) = sums(:,9) ! km
3313	hom(:,1,10,sr) = sums(:,10) ! kh
3314	hom(:,1,11,sr) = sums(:,11) ! l
3315	hom(:,1,12,sr) = sums(:,12) ! w"u"
3316	hom(:,1,13,sr) = sums(:,13) ! wu
3317	hom(:,1,14,sr) = sums(:,14) ! w"v"
3318	hom(:,1,15,sr) = sums(:,15) ! wv
3319	hom(:,1,16,sr) = sums(:,16) ! w"pt"
3320	hom(:,1,17,sr) = sums(:,17) ! wpt
3321	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
3322	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
3323	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
3324	hom(:,1,21,sr) = sums(:,21) ! wptBC
3325	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
3326	! profile 24 is initial profile (sa)
3327	! profiles 25-29 left empty for initial
3328	! profiles
3329	hom(:,1,30,sr) = sums(:,30) ! u*2
3330	hom(:,1,31,sr) = sums(:,31) ! v*2
3331	hom(:,1,32,sr) = sums(:,32) ! w*2
3332	hom(:,1,33,sr) = sums(:,33) ! pt*2
3333	hom(:,1,34,sr) = sums(:,34) ! e*
3334	hom(:,1,35,sr) = sums(:,35) ! w2pt
3335	hom(:,1,36,sr) = sums(:,36) ! wpt2
3336	hom(:,1,37,sr) = sums(:,37) ! we
3337	hom(:,1,38,sr) = sums(:,38) ! w*3
3338	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
3339	hom(:,1,40,sr) = sums(:,40) ! p
3340	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
3341	hom(:,1,46,sr) = sums(:,46) ! wvpt
3342	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
3343	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
3344	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
3345	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
3346	hom(:,1,51,sr) = sums(:,51) ! w"qv"
3347	hom(:,1,52,sr) = sums(:,52) ! wqv
3348	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
3349	hom(:,1,54,sr) = sums(:,54) ! ql
3350	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
3351	hom(:,1,56,sr) = sums(:,56) ! wp/dz
3352	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
3353	hom(:,1,58,sr) = sums(:,58) ! u"pt"
3354	hom(:,1,59,sr) = sums(:,59) ! upt
3355	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
3356	hom(:,1,61,sr) = sums(:,61) ! v"pt"
3357	hom(:,1,62,sr) = sums(:,62) ! vpt
3358	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
3359	hom(:,1,64,sr) = sums(:,64) ! rho
3360	hom(:,1,65,sr) = sums(:,65) ! w"sa"
3361	hom(:,1,66,sr) = sums(:,66) ! wsa
3362	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
3363	hom(:,1,68,sr) = sums(:,68) ! wp
3364	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
3365	hom(:,1,70,sr) = sums(:,70) ! q*2
3366	hom(:,1,71,sr) = sums(:,71) ! prho
3367	hom(:,1,72,sr) = hyp * 1E-4_wp ! hyp in dbar
3368	hom(:,1,73,sr) = sums(:,73) ! nr
3369	hom(:,1,74,sr) = sums(:,74) ! qr
3370	hom(:,1,75,sr) = sums(:,75) ! qc
3371	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
3372	! 77 is initial density profile
3373	hom(:,1,78,sr) = ug ! ug
3374	hom(:,1,79,sr) = vg ! vg
3375	hom(:,1,80,sr) = w_subs ! w_subs
3376
3377	IF ( large_scale_forcing ) THEN
3378	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
3379	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
3380	IF ( use_subsidence_tendencies ) THEN
3381	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
3382	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
3383	ELSE
3384	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
3385	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
3386	ENDIF
3387	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
3388	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
3389	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
3390	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
3391	END IF
3392
3393	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
3394	! u, w'u', w'v', t (in last profile)
3395
3396	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
3397	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
3398	sums(:,pr_palm+1:pr_palm+max_pr_user)
3399	ENDIF
3400
3401	!
3402	!-- Determine the boundary layer height using two different schemes.
3403	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
3404	!-- first relative minimum (maximum) of the total heat flux.
3405	!-- The corresponding height is assumed as the boundary layer height, if it
3406	!-- is less than 1.5 times the height where the heat flux becomes negative
3407	!-- (positive) for the first time.
3408	z_i(1) = 0.0_wp
3409	first = .TRUE.
3410
3411	IF ( ocean ) THEN
3412	DO k = nzt, nzb+1, -1
3413	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
3414	first = .FALSE.
3415	height = zw(k)
3416	ENDIF
3417	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
3418	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
3419	IF ( zw(k) < 1.5_wp * height ) THEN
3420	z_i(1) = zw(k)
3421	ELSE
3422	z_i(1) = height
3423	ENDIF
3424	EXIT
3425	ENDIF
3426	ENDDO
3427	ELSE
3428	DO k = nzb, nzt-1
3429	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
3430	first = .FALSE.
3431	height = zw(k)
3432	ENDIF
3433	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
3434	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
3435	IF ( zw(k) < 1.5_wp * height ) THEN
3436	z_i(1) = zw(k)
3437	ELSE
3438	z_i(1) = height
3439	ENDIF
3440	EXIT
3441	ENDIF
3442	ENDDO
3443	ENDIF
3444
3445	!
3446	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
3447	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
3448	!-- maximal local temperature gradient: starting from the second (the last
3449	!-- but one) vertical gridpoint, the local gradient must be at least
3450	!-- 0.2K/100m and greater than the next four gradients.
3451	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
3452	!-- ocean case!
3453	z_i(2) = 0.0_wp
3454	DO k = nzb+1, nzt+1
3455	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
3456	ENDDO
3457	dptdz_threshold = 0.2_wp / 100.0_wp
3458
3459	IF ( ocean ) THEN
3460	DO k = nzt+1, nzb+5, -1
3461	IF ( dptdz(k) > dptdz_threshold .AND. &
3462	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
3463	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
3464	z_i(2) = zw(k-1)
3465	EXIT
3466	ENDIF
3467	ENDDO
3468	ELSE
3469	DO k = nzb+1, nzt-3
3470	IF ( dptdz(k) > dptdz_threshold .AND. &
3471	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
3472	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
3473	z_i(2) = zw(k-1)
3474	EXIT
3475	ENDIF
3476	ENDDO
3477	ENDIF
3478
3479	hom(nzb+6,1,pr_palm,sr) = z_i(1)
3480	hom(nzb+7,1,pr_palm,sr) = z_i(2)
3481
3482	!
3483	!-- Determine vertical index which is nearest to the mean surface level
3484	!-- height of the respective statistic region
3485	DO k = nzb, nzt
3486	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
3487	k_surface_level = k
3488	EXIT
3489	ENDIF
3490	ENDDO
3491
3492	!
3493	!-- Computation of both the characteristic vertical velocity and
3494	!-- the characteristic convective boundary layer temperature.
3495	!-- The inversion height entering into the equation is defined with respect
3496	!-- to the mean surface level height of the respective statistic region.
3497	!-- The horizontal average at surface level index + 1 is input for the
3498	!-- average temperature.
3499	IF ( hom(nzb,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp ) THEN
3500	hom(nzb+8,1,pr_palm,sr) = &
3501	( g / hom(k_surface_level+1,1,4,sr) * hom(k_surface_level,1,18,sr)&
3502	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
3503	ELSE
3504	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
3505	ENDIF
3506
3507	!
3508	!-- Collect the time series quantities
3509	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
3510	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
3511	ts_value(3,sr) = dt_3d
3512	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
3513	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
3514	ts_value(6,sr) = u_max
3515	ts_value(7,sr) = v_max
3516	ts_value(8,sr) = w_max
3517	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
3518	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
3519	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
3520	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
3521	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
3522	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
3523	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
3524	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
3525	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
3526	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
3527	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
3528	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
3529	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
3530
3531	IF ( .NOT. neutral ) THEN
3532	ts_value(22,sr) = hom(nzb,1,114,sr) ! L
3533	ELSE
3534	ts_value(22,sr) = 1.0E10_wp
3535	ENDIF
3536
3537	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
3538
3539	!
3540	!-- Collect land surface model timeseries
3541	IF ( land_surface ) THEN
3542	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf_eb
3543	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! shf_eb
3544	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_eb
3545	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_liq_eb
3546	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! qsws_soil_eb
3547	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! qsws_veg_eb
3548	ts_value(dots_soil+6,sr) = hom(nzb,1,99,sr) ! r_a
3549	ts_value(dots_soil+7,sr) = hom(nzb,1,100,sr) ! r_s
3550	ENDIF
3551	!
3552	!-- Collect radiation model timeseries
3553	IF ( radiation ) THEN
3554	ts_value(dots_rad,sr) = hom(nzb,1,101,sr) ! rad_net
3555	ts_value(dots_rad+1,sr) = hom(nzb,1,102,sr) ! rad_lw_in
3556	ts_value(dots_rad+2,sr) = hom(nzb,1,103,sr) ! rad_lw_out
3557	ts_value(dots_rad+3,sr) = hom(nzb,1,104,sr) ! rad_sw_in
3558	ts_value(dots_rad+4,sr) = hom(nzb,1,105,sr) ! rad_sw_out
3559
3560	#if defined ( __rrtmg )
3561	IF ( radiation_scheme == 'rrtmg' ) THEN
3562	ts_value(dots_rad+5,sr) = hom(nzb,1,106,sr) ! rrtm_aldif
3563	ts_value(dots_rad+6,sr) = hom(nzb,1,107,sr) ! rrtm_aldir
3564	ts_value(dots_rad+7,sr) = hom(nzb,1,108,sr) ! rrtm_asdif
3565	ts_value(dots_rad+8,sr) = hom(nzb,1,109,sr) ! rrtm_asdir
3566	ENDIF
3567	#endif
3568
3569	ENDIF
3570
3571	!
3572	!-- Calculate additional statistics provided by the user interface
3573	CALL user_statistics( 'time_series', sr, 0 )
3574
3575	ENDDO ! loop of the subregions
3576
3577	!$acc end data
3578
3579	!
3580	!-- If required, sum up horizontal averages for subsequent time averaging
3581	IF ( do_sum ) THEN
3582	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
3583	hom_sum = hom_sum + hom(:,1,:,:)
3584	average_count_pr = average_count_pr + 1
3585	do_sum = .FALSE.
3586	ENDIF
3587
3588	!
3589	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
3590	!-- This flag is reset after each time step in time_integration.
3591	flow_statistics_called = .TRUE.
3592
3593	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
3594
3595
3596	END SUBROUTINE flow_statistics
3597	#endif

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