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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1954

Last change on this file since 1954 was 1919, 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 1997-2016 Leibniz Universitaet Hannover
17	!--------------------------------------------------------------------------------!
18	!
19	! Current revisions:
20	! -----------------
21	!
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: flow_statistics.f90 1919 2016-05-27 14:51:23Z suehring $
26	!
27	! 1918 2016-05-27 14:35:57Z raasch
28	! in case of Wicker-Skamarock scheme, calculate disturbance kinetic energy here,
29	! if flow_statistics is called before the first initial time step
30	!
31	! 1853 2016-04-11 09:00:35Z maronga
32	! Adjusted for use with radiation_scheme = constant
33	!
34	! 1849 2016-04-08 11:33:18Z hoffmann
35	! prr moved to arrays_3d
36	!
37	! 1822 2016-04-07 07:49:42Z hoffmann
38	! Output of bulk microphysics simplified.
39	!
40	! 1815 2016-04-06 13:49:59Z raasch
41	! cpp-directives for intel openmp bug removed
42	!
43	! 1783 2016-03-06 18:36:17Z raasch
44	! +module netcdf_interface
45	!
46	! 1747 2016-02-08 12:25:53Z raasch
47	! small bugfixes for accelerator version
48	!
49	! 1738 2015-12-18 13:56:05Z raasch
50	! bugfixes for calculations in statistical regions which do not contain grid
51	! points in the lowest vertical levels, mean surface level height considered
52	! in the calculation of the characteristic vertical velocity,
53	! old upstream parts removed
54	!
55	! 1709 2015-11-04 14:47:01Z maronga
56	! Updated output of Obukhov length
57	!
58	! 1691 2015-10-26 16:17:44Z maronga
59	! Revised calculation of Obukhov length. Added output of radiative heating >
60	! rates for RRTMG.
61	!
62	! 1682 2015-10-07 23:56:08Z knoop
63	! Code annotations made doxygen readable
64	!
65	! 1658 2015-09-18 10:52:53Z raasch
66	! bugfix: temporary reduction variables in the openacc branch are now
67	! initialized to zero
68	!
69	! 1654 2015-09-17 09:20:17Z raasch
70	! FORTRAN bugfix of r1652
71	!
72	! 1652 2015-09-17 08:12:24Z raasch
73	! bugfix in calculation of energy production by turbulent transport of TKE
74	!
75	! 1593 2015-05-16 13:58:02Z raasch
76	! FORTRAN errors removed from openacc branch
77	!
78	! 1585 2015-04-30 07:05:52Z maronga
79	! Added output of timeseries and profiles for RRTMG
80	!
81	! 1571 2015-03-12 16:12:49Z maronga
82	! Bugfix: output of rad_net and rad_sw_in
83	!
84	! 1567 2015-03-10 17:57:55Z suehring
85	! Reverse modifications made for monotonic limiter.
86	!
87	! 1557 2015-03-05 16:43:04Z suehring
88	! Adjustments for monotonic limiter
89	!
90	! 1555 2015-03-04 17:44:27Z maronga
91	! Added output of r_a and r_s.
92	!
93	! 1551 2015-03-03 14:18:16Z maronga
94	! Added suppport for land surface model and radiation model output.
95	!
96	! 1498 2014-12-03 14:09:51Z suehring
97	! Comments added
98	!
99	! 1482 2014-10-18 12:34:45Z raasch
100	! missing ngp_sums_ls added in accelerator version
101	!
102	! 1450 2014-08-21 07:31:51Z heinze
103	! bugfix: calculate fac only for simulated_time >= 0.0
104	!
105	! 1396 2014-05-06 13:37:41Z raasch
106	! bugfix: "copyin" replaced by "update device" in openacc-branch
107	!
108	! 1386 2014-05-05 13:55:30Z boeske
109	! bugfix: simulated time before the last timestep is needed for the correct
110	! calculation of the profiles of large scale forcing tendencies
111	!
112	! 1382 2014-04-30 12:15:41Z boeske
113	! Renamed variables which store large scale forcing tendencies
114	! pt_lsa -> td_lsa_lpt, pt_subs -> td_sub_lpt,
115	! q_lsa -> td_lsa_q, q_subs -> td_sub_q,
116	! added Neumann boundary conditions for profile data output of large scale
117	! advection and subsidence terms at nzt+1
118	!
119	! 1374 2014-04-25 12:55:07Z raasch
120	! bugfix: syntax errors removed from openacc-branch
121	! missing variables added to ONLY-lists
122	!
123	! 1365 2014-04-22 15:03:56Z boeske
124	! Output of large scale advection, large scale subsidence and nudging tendencies
125	! +sums_ls_l, ngp_sums_ls, use_subsidence_tendencies
126	!
127	! 1353 2014-04-08 15:21:23Z heinze
128	! REAL constants provided with KIND-attribute
129	!
130	! 1322 2014-03-20 16:38:49Z raasch
131	! REAL constants defined as wp-kind
132	!
133	! 1320 2014-03-20 08:40:49Z raasch
134	! ONLY-attribute added to USE-statements,
135	! kind-parameters added to all INTEGER and REAL declaration statements,
136	! kinds are defined in new module kinds,
137	! revision history before 2012 removed,
138	! comment fields (!:) to be used for variable explanations added to
139	! all variable declaration statements
140	!
141	! 1299 2014-03-06 13:15:21Z heinze
142	! Output of large scale vertical velocity w_subs
143	!
144	! 1257 2013-11-08 15:18:40Z raasch
145	! openacc "end parallel" replaced by "end parallel loop"
146	!
147	! 1241 2013-10-30 11:36:58Z heinze
148	! Output of ug and vg
149	!
150	! 1221 2013-09-10 08:59:13Z raasch
151	! ported for openACC in separate #else branch
152	!
153	! 1179 2013-06-14 05:57:58Z raasch
154	! comment for profile 77 added
155	!
156	! 1115 2013-03-26 18:16:16Z hoffmann
157	! ql is calculated by calc_liquid_water_content
158	!
159	! 1111 2013-03-08 23:54:10Z raasch
160	! openACC directive added
161	!
162	! 1053 2012-11-13 17:11:03Z hoffmann
163	! additions for two-moment cloud physics scheme:
164	! +nr, qr, qc, prr
165	!
166	! 1036 2012-10-22 13:43:42Z raasch
167	! code put under GPL (PALM 3.9)
168	!
169	! 1007 2012-09-19 14:30:36Z franke
170	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
171	! turbulent fluxes of WS-scheme
172	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
173	! droplets at nzb and nzt added
174	!
175	! 801 2012-01-10 17:30:36Z suehring
176	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
177	!
178	! Revision 1.1 1997/08/11 06:15:17 raasch
179	! Initial revision
180	!
181	!
182	! Description:
183	! ------------
184	!> Compute average profiles and further average flow quantities for the different
185	!> user-defined (sub-)regions. The region indexed 0 is the total model domain.
186	!>
187	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
188	!> lower vertical index for k-loops for all variables, although strictly
189	!> speaking the k-loops would have to be split up according to the staggered
190	!> grid. However, this implies no error since staggered velocity components
191	!> are zero at the walls and inside buildings.
192	!------------------------------------------------------------------------------!
193	#if ! defined( __openacc )
194	SUBROUTINE flow_statistics
195
196
197	USE arrays_3d, &
198	ONLY: ddzu, ddzw, e, hyp, km, kh, nr, ol, p, prho, prr, pt, q, qc, ql,&
199	qr, qs, qsws, qswst, rho, sa, saswsb, saswst, shf, td_lsa_lpt, &
200	td_lsa_q, td_sub_lpt, td_sub_q, time_vert, ts, tswst, u, ug, us,&
201	usws, uswst, vsws, v, vg, vpt, vswst, w, w_subs, zw
202
203	USE cloud_parameters, &
204	ONLY: l_d_cp, pt_d_t
205
206	USE control_parameters, &
207	ONLY: average_count_pr, cloud_droplets, cloud_physics, do_sum, &
208	dt_3d, g, humidity, kappa, large_scale_forcing, &
209	large_scale_subsidence, max_pr_user, message_string, neutral, &
210	microphysics_seifert, ocean, passive_scalar, simulated_time, &
211	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
212	ws_scheme_mom, ws_scheme_sca
213
214	USE cpulog, &
215	ONLY: cpu_log, log_point
216
217	USE grid_variables, &
218	ONLY: ddx, ddy
219
220	USE indices, &
221	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
222	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzb_diff_s_inner, &
223	nzb_s_inner, nzt, nzt_diff
224
225	USE kinds
226
227	USE land_surface_model_mod, &
228	ONLY: ghf_eb, land_surface, m_soil, nzb_soil, nzt_soil, &
229	qsws_eb, qsws_liq_eb, qsws_soil_eb, qsws_veg_eb, r_a, r_s, &
230	shf_eb, t_soil
231
232	USE netcdf_interface, &
233	ONLY: dots_rad, dots_soil
234
235	USE pegrid
236
237	USE radiation_model_mod, &
238	ONLY: radiation, radiation_scheme, rad_net, &
239	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
240	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
241
242	#if defined ( __rrtmg )
243	USE radiation_model_mod, &
244	ONLY: rrtm_aldif, rrtm_aldir, rrtm_asdif, rrtm_asdir
245	#endif
246
247	USE statistics
248
249
250	IMPLICIT NONE
251
252	INTEGER(iwp) :: i !<
253	INTEGER(iwp) :: j !<
254	INTEGER(iwp) :: k !<
255	INTEGER(iwp) :: k_surface_level !<
256	INTEGER(iwp) :: nt !<
257	INTEGER(iwp) :: omp_get_thread_num !<
258	INTEGER(iwp) :: sr !<
259	INTEGER(iwp) :: tn !<
260
261	LOGICAL :: first !<
262
263	REAL(wp) :: dptdz_threshold !<
264	REAL(wp) :: fac !<
265	REAL(wp) :: height !<
266	REAL(wp) :: pts !<
267	REAL(wp) :: sums_l_eper !<
268	REAL(wp) :: sums_l_etot !<
269	REAL(wp) :: ust !<
270	REAL(wp) :: ust2 !<
271	REAL(wp) :: u2 !<
272	REAL(wp) :: vst !<
273	REAL(wp) :: vst2 !<
274	REAL(wp) :: v2 !<
275	REAL(wp) :: w2 !<
276	REAL(wp) :: z_i(2) !<
277
278	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
279	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
280
281	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
282
283	!$acc update host( km, kh, e, ol, pt, qs, qsws, shf, ts, u, usws, v, vsws, w )
284
285	!
286	!-- To be on the safe side, check whether flow_statistics has already been
287	!-- called once after the current time step
288	IF ( flow_statistics_called ) THEN
289
290	message_string = 'flow_statistics is called two times within one ' // &
291	'timestep'
292	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
293
294	ENDIF
295
296	!
297	!-- Compute statistics for each (sub-)region
298	DO sr = 0, statistic_regions
299
300	!
301	!-- Initialize (local) summation array
302	sums_l = 0.0_wp
303
304	!
305	!-- Store sums that have been computed in other subroutines in summation
306	!-- array
307	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
308	!-- WARNING: next line still has to be adjusted for OpenMP
309	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
310	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
311	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
312
313	!
314	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
315	!-- scale) vertical fluxes and velocity variances by using commonly-
316	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
317	!-- in combination with the 5th order advection scheme, pronounced
318	!-- artificial kinks could be observed in the vertical profiles near the
319	!-- surface. Please note: these kinks were not related to the model truth,
320	!-- i.e. these kinks are just related to an evaluation problem.
321	!-- In order avoid these kinks, vertical fluxes and horizontal as well
322	!-- vertical velocity variances are calculated directly within the advection
323	!-- routines, according to the numerical discretization, to evaluate the
324	!-- statistical quantities as they will appear within the prognostic
325	!-- equations.
326	!-- Copy the turbulent quantities, evaluated in the advection routines to
327	!-- the local array sums_l() for further computations.
328	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
329
330	!
331	!-- According to the Neumann bc for the horizontal velocity components,
332	!-- the corresponding fluxes has to satisfiy the same bc.
333	IF ( ocean ) THEN
334	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
335	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
336	ENDIF
337
338	DO i = 0, threads_per_task-1
339	!
340	!-- Swap the turbulent quantities evaluated in advec_ws.
341	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
342	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
343	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
344	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
345	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
346	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
347	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
348	sums_ws2_ws_l(:,i) ) ! e*
349	DO k = nzb, nzt
350	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5_wp * ( &
351	sums_us2_ws_l(k,i) + &
352	sums_vs2_ws_l(k,i) + &
353	sums_ws2_ws_l(k,i) )
354	ENDDO
355	ENDDO
356
357	ENDIF
358
359	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
360
361	DO i = 0, threads_per_task-1
362	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
363	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
364	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
365	sums_wsqs_ws_l(:,i) !wq
366	ENDDO
367
368	ENDIF
369	!
370	!-- Horizontally averaged profiles of horizontal velocities and temperature.
371	!-- They must have been computed before, because they are already required
372	!-- for other horizontal averages.
373	tn = 0
374
375	!$OMP PARALLEL PRIVATE( i, j, k, tn )
376	!$ tn = omp_get_thread_num()
377
378	!$OMP DO
379	DO i = nxl, nxr
380	DO j = nys, nyn
381	DO k = nzb_s_inner(j,i), nzt+1
382	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
383	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
384	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
385	ENDDO
386	ENDDO
387	ENDDO
388
389	!
390	!-- Horizontally averaged profile of salinity
391	IF ( ocean ) THEN
392	!$OMP DO
393	DO i = nxl, nxr
394	DO j = nys, nyn
395	DO k = nzb_s_inner(j,i), nzt+1
396	sums_l(k,23,tn) = sums_l(k,23,tn) + &
397	sa(k,j,i) * rmask(j,i,sr)
398	ENDDO
399	ENDDO
400	ENDDO
401	ENDIF
402
403	!
404	!-- Horizontally averaged profiles of virtual potential temperature,
405	!-- total water content, specific humidity and liquid water potential
406	!-- temperature
407	IF ( humidity ) THEN
408	!$OMP DO
409	DO i = nxl, nxr
410	DO j = nys, nyn
411	DO k = nzb_s_inner(j,i), nzt+1
412	sums_l(k,44,tn) = sums_l(k,44,tn) + &
413	vpt(k,j,i) * rmask(j,i,sr)
414	sums_l(k,41,tn) = sums_l(k,41,tn) + &
415	q(k,j,i) * rmask(j,i,sr)
416	ENDDO
417	ENDDO
418	ENDDO
419	IF ( cloud_physics ) THEN
420	!$OMP DO
421	DO i = nxl, nxr
422	DO j = nys, nyn
423	DO k = nzb_s_inner(j,i), nzt+1
424	sums_l(k,42,tn) = sums_l(k,42,tn) + &
425	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
426	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
427	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
428	) * rmask(j,i,sr)
429	ENDDO
430	ENDDO
431	ENDDO
432	ENDIF
433	ENDIF
434
435	!
436	!-- Horizontally averaged profiles of passive scalar
437	IF ( passive_scalar ) THEN
438	!$OMP DO
439	DO i = nxl, nxr
440	DO j = nys, nyn
441	DO k = nzb_s_inner(j,i), nzt+1
442	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
443	ENDDO
444	ENDDO
445	ENDDO
446	ENDIF
447	!$OMP END PARALLEL
448	!
449	!-- Summation of thread sums
450	IF ( threads_per_task > 1 ) THEN
451	DO i = 1, threads_per_task-1
452	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
453	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
454	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
455	IF ( ocean ) THEN
456	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
457	ENDIF
458	IF ( humidity ) THEN
459	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
460	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
461	IF ( cloud_physics ) THEN
462	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
463	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
464	ENDIF
465	ENDIF
466	IF ( passive_scalar ) THEN
467	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
468	ENDIF
469	ENDDO
470	ENDIF
471
472	#if defined( __parallel )
473	!
474	!-- Compute total sum from local sums
475	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
476	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
477	MPI_SUM, comm2d, ierr )
478	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
479	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
480	MPI_SUM, comm2d, ierr )
481	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
482	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
483	MPI_SUM, comm2d, ierr )
484	IF ( ocean ) THEN
485	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
486	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
487	MPI_REAL, MPI_SUM, comm2d, ierr )
488	ENDIF
489	IF ( humidity ) THEN
490	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
491	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
492	MPI_REAL, MPI_SUM, comm2d, ierr )
493	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
494	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
495	MPI_REAL, MPI_SUM, comm2d, ierr )
496	IF ( cloud_physics ) THEN
497	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
498	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
499	MPI_REAL, MPI_SUM, comm2d, ierr )
500	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
501	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
502	MPI_REAL, MPI_SUM, comm2d, ierr )
503	ENDIF
504	ENDIF
505
506	IF ( passive_scalar ) THEN
507	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
508	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
509	MPI_REAL, MPI_SUM, comm2d, ierr )
510	ENDIF
511	#else
512	sums(:,1) = sums_l(:,1,0)
513	sums(:,2) = sums_l(:,2,0)
514	sums(:,4) = sums_l(:,4,0)
515	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
516	IF ( humidity ) THEN
517	sums(:,44) = sums_l(:,44,0)
518	sums(:,41) = sums_l(:,41,0)
519	IF ( cloud_physics ) THEN
520	sums(:,42) = sums_l(:,42,0)
521	sums(:,43) = sums_l(:,43,0)
522	ENDIF
523	ENDIF
524	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
525	#endif
526
527	!
528	!-- Final values are obtained by division by the total number of grid points
529	!-- used for summation. After that store profiles.
530	sums(:,1) = sums(:,1) / ngp_2dh(sr)
531	sums(:,2) = sums(:,2) / ngp_2dh(sr)
532	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
533	hom(:,1,1,sr) = sums(:,1) ! u
534	hom(:,1,2,sr) = sums(:,2) ! v
535	hom(:,1,4,sr) = sums(:,4) ! pt
536
537
538	!
539	!-- Salinity
540	IF ( ocean ) THEN
541	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
542	hom(:,1,23,sr) = sums(:,23) ! sa
543	ENDIF
544
545	!
546	!-- Humidity and cloud parameters
547	IF ( humidity ) THEN
548	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
549	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
550	hom(:,1,44,sr) = sums(:,44) ! vpt
551	hom(:,1,41,sr) = sums(:,41) ! qv (q)
552	IF ( cloud_physics ) THEN
553	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
554	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
555	hom(:,1,42,sr) = sums(:,42) ! qv
556	hom(:,1,43,sr) = sums(:,43) ! pt
557	ENDIF
558	ENDIF
559
560	!
561	!-- Passive scalar
562	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
563	ngp_2dh_s_inner(:,sr) ! s (q)
564
565	!
566	!-- Horizontally averaged profiles of the remaining prognostic variables,
567	!-- variances, the total and the perturbation energy (single values in last
568	!-- column of sums_l) and some diagnostic quantities.
569	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
570	!-- ---- speaking the following k-loop would have to be split up and
571	!-- rearranged according to the staggered grid.
572	!-- However, this implies no error since staggered velocity components
573	!-- are zero at the walls and inside buildings.
574	tn = 0
575	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, &
576	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
577	!$OMP w2 )
578	!$ tn = omp_get_thread_num()
579
580	!$OMP DO
581	DO i = nxl, nxr
582	DO j = nys, nyn
583	sums_l_etot = 0.0_wp
584	DO k = nzb_s_inner(j,i), nzt+1
585	!
586	!-- Prognostic and diagnostic variables
587	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
588	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
589	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
590	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
591	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
592
593	sums_l(k,33,tn) = sums_l(k,33,tn) + &
594	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
595
596	IF ( humidity ) THEN
597	sums_l(k,70,tn) = sums_l(k,70,tn) + &
598	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
599	ENDIF
600
601	!
602	!-- Higher moments
603	!-- (Computation of the skewness of w further below)
604	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
605
606	sums_l_etot = sums_l_etot + &
607	0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + &
608	w(k,j,i)*2 ) rmask(j,i,sr)
609	ENDDO
610	!
611	!-- Total and perturbation energy for the total domain (being
612	!-- collected in the last column of sums_l). Summation of these
613	!-- quantities is seperated from the previous loop in order to
614	!-- allow vectorization of that loop.
615	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
616	!
617	!-- 2D-arrays (being collected in the last column of sums_l)
618	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
619	us(j,i) * rmask(j,i,sr)
620	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
621	usws(j,i) * rmask(j,i,sr)
622	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
623	vsws(j,i) * rmask(j,i,sr)
624	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
625	ts(j,i) * rmask(j,i,sr)
626	IF ( humidity ) THEN
627	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
628	qs(j,i) * rmask(j,i,sr)
629	ENDIF
630	ENDDO
631	ENDDO
632
633	!
634	!-- Computation of statistics when ws-scheme is not used. Else these
635	!-- quantities are evaluated in the advection routines.
636	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) &
637	THEN
638	!$OMP DO
639	DO i = nxl, nxr
640	DO j = nys, nyn
641	sums_l_eper = 0.0_wp
642	DO k = nzb_s_inner(j,i), nzt+1
643	u2 = u(k,j,i)**2
644	v2 = v(k,j,i)**2
645	w2 = w(k,j,i)**2
646	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
647	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
648
649	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
650	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
651	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
652	!
653	!-- Perturbation energy
654
655	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5_wp * &
656	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
657	sums_l_eper = sums_l_eper + &
658	0.5_wp * ( ust2+vst2+w2 ) * rmask(j,i,sr)
659
660	ENDDO
661	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
662	+ sums_l_eper
663	ENDDO
664	ENDDO
665	ENDIF
666
667	!
668	!-- Horizontally averaged profiles of the vertical fluxes
669
670	!$OMP DO
671	DO i = nxl, nxr
672	DO j = nys, nyn
673	!
674	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
675	!-- oterwise from k=nzb+1)
676	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
677	!-- ---- strictly speaking the following k-loop would have to be
678	!-- split up according to the staggered grid.
679	!-- However, this implies no error since staggered velocity
680	!-- components are zero at the walls and inside buildings.
681
682	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
683	!
684	!-- Momentum flux w"u"
685	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
686	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
687	) * ( &
688	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
689	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
690	) * rmask(j,i,sr)
691	!
692	!-- Momentum flux w"v"
693	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
694	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
695	) * ( &
696	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
697	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
698	) * rmask(j,i,sr)
699	!
700	!-- Heat flux w"pt"
701	sums_l(k,16,tn) = sums_l(k,16,tn) &
702	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
703	* ( pt(k+1,j,i) - pt(k,j,i) ) &
704	* ddzu(k+1) * rmask(j,i,sr)
705
706
707	!
708	!-- Salinity flux w"sa"
709	IF ( ocean ) THEN
710	sums_l(k,65,tn) = sums_l(k,65,tn) &
711	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
712	* ( sa(k+1,j,i) - sa(k,j,i) ) &
713	* ddzu(k+1) * rmask(j,i,sr)
714	ENDIF
715
716	!
717	!-- Buoyancy flux, water flux (humidity flux) w"q"
718	IF ( humidity ) THEN
719	sums_l(k,45,tn) = sums_l(k,45,tn) &
720	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
721	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
722	* ddzu(k+1) * rmask(j,i,sr)
723	sums_l(k,48,tn) = sums_l(k,48,tn) &
724	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
725	* ( q(k+1,j,i) - q(k,j,i) ) &
726	* ddzu(k+1) * rmask(j,i,sr)
727
728	IF ( cloud_physics ) THEN
729	sums_l(k,51,tn) = sums_l(k,51,tn) &
730	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
731	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
732	- ( q(k,j,i) - ql(k,j,i) ) ) &
733	* ddzu(k+1) * rmask(j,i,sr)
734	ENDIF
735	ENDIF
736
737	!
738	!-- Passive scalar flux
739	IF ( passive_scalar ) THEN
740	sums_l(k,48,tn) = sums_l(k,48,tn) &
741	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
742	* ( q(k+1,j,i) - q(k,j,i) ) &
743	* ddzu(k+1) * rmask(j,i,sr)
744	ENDIF
745
746	ENDDO
747
748	!
749	!-- Subgridscale fluxes in the Prandtl layer
750	IF ( use_surface_fluxes ) THEN
751	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
752	usws(j,i) * rmask(j,i,sr) ! w"u"
753	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
754	vsws(j,i) * rmask(j,i,sr) ! w"v"
755	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
756	shf(j,i) * rmask(j,i,sr) ! w"pt"
757	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
758	0.0_wp * rmask(j,i,sr) ! u"pt"
759	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
760	0.0_wp * rmask(j,i,sr) ! v"pt"
761	IF ( ocean ) THEN
762	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
763	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
764	ENDIF
765	IF ( humidity ) THEN
766	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
767	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
768	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
769	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
770	shf(j,i) + 0.61_wp * pt(nzb,j,i) * &
771	qsws(j,i) )
772	IF ( cloud_droplets ) THEN
773	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
774	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
775	ql(nzb,j,i) ) * shf(j,i) + &
776	0.61_wp * pt(nzb,j,i) * qsws(j,i) )
777	ENDIF
778	IF ( cloud_physics ) THEN
779	!
780	!-- Formula does not work if ql(nzb) /= 0.0
781	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
782	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
783	ENDIF
784	ENDIF
785	IF ( passive_scalar ) THEN
786	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
787	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
788	ENDIF
789	ENDIF
790
791	IF ( .NOT. neutral ) THEN
792	sums_l(nzb,114,tn) = sums_l(nzb,114,tn) + &
793	ol(j,i) * rmask(j,i,sr) ! L
794	ENDIF
795
796
797	IF ( land_surface ) THEN
798	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + ghf_eb(j,i)
799	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + shf_eb(j,i)
800	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + qsws_eb(j,i)
801	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + qsws_liq_eb(j,i)
802	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + qsws_soil_eb(j,i)
803	sums_l(nzb,98,tn) = sums_l(nzb,98,tn) + qsws_veg_eb(j,i)
804	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + r_a(j,i)
805	sums_l(nzb,100,tn) = sums_l(nzb,100,tn)+ r_s(j,i)
806	ENDIF
807
808	IF ( radiation .AND. radiation_scheme /= 'constant' ) THEN
809	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + rad_net(j,i)
810	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + rad_lw_in(nzb,j,i)
811	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + rad_lw_out(nzb,j,i)
812	sums_l(nzb,104,tn) = sums_l(nzb,104,tn) + rad_sw_in(nzb,j,i)
813	sums_l(nzb,105,tn) = sums_l(nzb,105,tn) + rad_sw_out(nzb,j,i)
814
815	#if defined ( __rrtmg )
816	IF ( radiation_scheme == 'rrtmg' ) THEN
817	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + rrtm_aldif(0,j,i)
818	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + rrtm_aldir(0,j,i)
819	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + rrtm_asdif(0,j,i)
820	sums_l(nzb,113,tn) = sums_l(nzb,113,tn) + rrtm_asdir(0,j,i)
821	ENDIF
822	#endif
823
824	ENDIF
825
826	!
827	!-- Subgridscale fluxes at the top surface
828	IF ( use_top_fluxes ) THEN
829	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
830	uswst(j,i) * rmask(j,i,sr) ! w"u"
831	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
832	vswst(j,i) * rmask(j,i,sr) ! w"v"
833	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
834	tswst(j,i) * rmask(j,i,sr) ! w"pt"
835	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
836	0.0_wp * rmask(j,i,sr) ! u"pt"
837	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
838	0.0_wp * rmask(j,i,sr) ! v"pt"
839
840	IF ( ocean ) THEN
841	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
842	saswst(j,i) * rmask(j,i,sr) ! w"sa"
843	ENDIF
844	IF ( humidity ) THEN
845	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
846	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
847	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
848	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
849	tswst(j,i) + 0.61_wp * pt(nzt,j,i) * &
850	qswst(j,i) )
851	IF ( cloud_droplets ) THEN
852	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
853	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
854	ql(nzt,j,i) ) * tswst(j,i) + &
855	0.61_wp * pt(nzt,j,i) * qswst(j,i) )
856	ENDIF
857	IF ( cloud_physics ) THEN
858	!
859	!-- Formula does not work if ql(nzb) /= 0.0
860	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
861	qswst(j,i) * rmask(j,i,sr)
862	ENDIF
863	ENDIF
864	IF ( passive_scalar ) THEN
865	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
866	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
867	ENDIF
868	ENDIF
869
870	!
871	!-- Resolved fluxes (can be computed for all horizontal points)
872	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
873	!-- ---- speaking the following k-loop would have to be split up and
874	!-- rearranged according to the staggered grid.
875	DO k = nzb_s_inner(j,i), nzt
876	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
877	u(k+1,j,i) - hom(k+1,1,1,sr) )
878	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
879	v(k+1,j,i) - hom(k+1,1,2,sr) )
880	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
881	pt(k+1,j,i) - hom(k+1,1,4,sr) )
882
883	!-- Higher moments
884	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
885	rmask(j,i,sr)
886	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
887	rmask(j,i,sr)
888
889	!
890	!-- Salinity flux and density (density does not belong to here,
891	!-- but so far there is no other suitable place to calculate)
892	IF ( ocean ) THEN
893	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
894	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
895	sa(k+1,j,i) - hom(k+1,1,23,sr) )
896	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
897	rmask(j,i,sr)
898	ENDIF
899	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
900	rmask(j,i,sr)
901	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
902	rmask(j,i,sr)
903	ENDIF
904
905	!
906	!-- Buoyancy flux, water flux, humidity flux, liquid water
907	!-- content, rain drop concentration and rain water content
908	IF ( humidity ) THEN
909	IF ( cloud_physics .OR. cloud_droplets ) THEN
910	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
911	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
912	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
913	rmask(j,i,sr)
914	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr)
915
916	IF ( .NOT. cloud_droplets ) THEN
917	pts = 0.5_wp * &
918	( ( q(k,j,i) - ql(k,j,i) ) - &
919	hom(k,1,42,sr) + &
920	( q(k+1,j,i) - ql(k+1,j,i) ) - &
921	hom(k+1,1,42,sr) )
922	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
923	rmask(j,i,sr)
924	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
925	rmask(j,i,sr)
926	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * &
927	rmask(j,i,sr)
928	IF ( microphysics_seifert ) THEN
929	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
930	rmask(j,i,sr)
931	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
932	rmask(j,i,sr)
933	ENDIF
934	ENDIF
935
936	ELSE
937	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
938	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
939	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
940	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
941	rmask(j,i,sr)
942	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
943	sums_l(k,46,tn) = ( 1.0_wp + 0.61_wp * &
944	hom(k,1,41,sr) ) * &
945	sums_l(k,17,tn) + &
946	0.61_wp * hom(k,1,4,sr) * &
947	sums_l(k,49,tn)
948	END IF
949	END IF
950	ENDIF
951	!
952	!-- Passive scalar flux
953	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
954	.OR. sr /= 0 ) ) THEN
955	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
956	q(k+1,j,i) - hom(k+1,1,41,sr) )
957	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
958	rmask(j,i,sr)
959	ENDIF
960
961	!
962	!-- Energy flux we
963	!-- has to be adjusted
964	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
965	( ust2 + vst2 + w(k,j,i)**2 ) &
966	* rmask(j,i,sr)
967	ENDDO
968	ENDDO
969	ENDDO
970	!
971	!-- For speed optimization fluxes which have been computed in part directly
972	!-- inside the WS advection routines are treated seperatly
973	!-- Momentum fluxes first:
974	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
975	!$OMP DO
976	DO i = nxl, nxr
977	DO j = nys, nyn
978	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
979	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
980	u(k+1,j,i) - hom(k+1,1,1,sr) )
981	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
982	v(k+1,j,i) - hom(k+1,1,2,sr) )
983	!
984	!-- Momentum flux wu
985	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
986	( w(k,j,i-1) + w(k,j,i) ) &
987	* ust * rmask(j,i,sr)
988	!
989	!-- Momentum flux wv
990	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * &
991	( w(k,j-1,i) + w(k,j,i) ) &
992	* vst * rmask(j,i,sr)
993	ENDDO
994	ENDDO
995	ENDDO
996
997	ENDIF
998	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
999	!$OMP DO
1000	DO i = nxl, nxr
1001	DO j = nys, nyn
1002	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
1003	!
1004	!-- Vertical heat flux
1005	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1006	( pt(k,j,i) - hom(k,1,4,sr) + &
1007	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1008	* w(k,j,i) * rmask(j,i,sr)
1009	IF ( humidity ) THEN
1010	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1011	q(k+1,j,i) - hom(k+1,1,41,sr) )
1012	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1013	rmask(j,i,sr)
1014	ENDIF
1015	ENDDO
1016	ENDDO
1017	ENDDO
1018
1019	ENDIF
1020
1021	!
1022	!-- Density at top follows Neumann condition
1023	IF ( ocean ) THEN
1024	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1025	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1026	ENDIF
1027
1028	!
1029	!-- Divergence of vertical flux of resolved scale energy and pressure
1030	!-- fluctuations as well as flux of pressure fluctuation itself (68).
1031	!-- First calculate the products, then the divergence.
1032	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1033	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) &
1034	THEN
1035	sums_ll = 0.0_wp ! local array
1036
1037	!$OMP DO
1038	DO i = nxl, nxr
1039	DO j = nys, nyn
1040	DO k = nzb_s_inner(j,i)+1, nzt
1041
1042	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1043	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1044	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2&
1045	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1046	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2&
1047	+ w(k,j,i)**2 )
1048
1049	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1050	* ( p(k,j,i) + p(k+1,j,i) )
1051
1052	ENDDO
1053	ENDDO
1054	ENDDO
1055	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1056	sums_ll(nzt+1,1) = 0.0_wp
1057	sums_ll(0,2) = 0.0_wp
1058	sums_ll(nzt+1,2) = 0.0_wp
1059
1060	DO k = nzb+1, nzt
1061	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1062	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1063	sums_l(k,68,tn) = sums_ll(k,2)
1064	ENDDO
1065	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1066	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1067	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1068
1069	ENDIF
1070
1071	!
1072	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1073	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) &
1074	THEN
1075	!$OMP DO
1076	DO i = nxl, nxr
1077	DO j = nys, nyn
1078	DO k = nzb_s_inner(j,i)+1, nzt
1079
1080	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1081	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1082	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1083	) * ddzw(k)
1084
1085	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1086	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1087	)
1088
1089	ENDDO
1090	ENDDO
1091	ENDDO
1092	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1093	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1094
1095	ENDIF
1096
1097	!
1098	!-- Horizontal heat fluxes (subgrid, resolved, total).
1099	!-- Do it only, if profiles shall be plotted.
1100	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1101
1102	!$OMP DO
1103	DO i = nxl, nxr
1104	DO j = nys, nyn
1105	DO k = nzb_s_inner(j,i)+1, nzt
1106	!
1107	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1108	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1109	( kh(k,j,i) + kh(k,j,i-1) ) &
1110	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1111	* ddx * rmask(j,i,sr)
1112	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1113	( kh(k,j,i) + kh(k,j-1,i) ) &
1114	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1115	* ddy * rmask(j,i,sr)
1116	!
1117	!-- Resolved horizontal heat fluxes upt, vpt
1118	sums_l(k,59,tn) = sums_l(k,59,tn) + &
1119	( u(k,j,i) - hom(k,1,1,sr) ) &
1120	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1121	pt(k,j,i) - hom(k,1,4,sr) )
1122	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1123	pt(k,j,i) - hom(k,1,4,sr) )
1124	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1125	( v(k,j,i) - hom(k,1,2,sr) ) &
1126	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1127	pt(k,j,i) - hom(k,1,4,sr) )
1128	ENDDO
1129	ENDDO
1130	ENDDO
1131	!
1132	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1133	sums_l(nzb,58,tn) = 0.0_wp
1134	sums_l(nzb,59,tn) = 0.0_wp
1135	sums_l(nzb,60,tn) = 0.0_wp
1136	sums_l(nzb,61,tn) = 0.0_wp
1137	sums_l(nzb,62,tn) = 0.0_wp
1138	sums_l(nzb,63,tn) = 0.0_wp
1139
1140	ENDIF
1141
1142	!
1143	!-- Collect current large scale advection and subsidence tendencies for
1144	!-- data output
1145	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1146	!
1147	!-- Interpolation in time of LSF_DATA
1148	nt = 1
1149	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1150	nt = nt + 1
1151	ENDDO
1152	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1153	nt = nt - 1
1154	ENDIF
1155
1156	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
1157	/ ( time_vert(nt+1)-time_vert(nt) )
1158
1159
1160	DO k = nzb, nzt
1161	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
1162	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1163	sums_ls_l(k,1) = td_lsa_q(k,nt) &
1164	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1165	ENDDO
1166
1167	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1168	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1169
1170	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1171
1172	DO k = nzb, nzt
1173	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
1174	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1175	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
1176	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1177	ENDDO
1178
1179	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1180	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1181
1182	ENDIF
1183
1184	ENDIF
1185
1186
1187	IF ( land_surface ) THEN
1188	!$OMP DO
1189	DO i = nxl, nxr
1190	DO j = nys, nyn
1191	DO k = nzb_soil, nzt_soil
1192	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil(k,j,i) &
1193	* rmask(j,i,sr)
1194	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil(k,j,i) &
1195	* rmask(j,i,sr)
1196	ENDDO
1197	ENDDO
1198	ENDDO
1199	ENDIF
1200
1201	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1202	!$OMP DO
1203	DO i = nxl, nxr
1204	DO j = nys, nyn
1205	DO k = nzb_s_inner(j,i)+1, nzt+1
1206	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_lw_in(k,j,i) &
1207	* rmask(j,i,sr)
1208	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_lw_out(k,j,i) &
1209	* rmask(j,i,sr)
1210	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_sw_in(k,j,i) &
1211	* rmask(j,i,sr)
1212	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_sw_out(k,j,i) &
1213	* rmask(j,i,sr)
1214	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_lw_cs_hr(k,j,i) &
1215	* rmask(j,i,sr)
1216	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_lw_hr(k,j,i) &
1217	* rmask(j,i,sr)
1218	sums_l(k,108,tn) = sums_l(k,108,tn) + rad_sw_cs_hr(k,j,i) &
1219	* rmask(j,i,sr)
1220	sums_l(k,109,tn) = sums_l(k,109,tn) + rad_sw_hr(k,j,i) &
1221	* rmask(j,i,sr)
1222	ENDDO
1223	ENDDO
1224	ENDDO
1225	ENDIF
1226	!
1227	!-- Calculate the user-defined profiles
1228	CALL user_statistics( 'profiles', sr, tn )
1229	!$OMP END PARALLEL
1230
1231	!
1232	!-- Summation of thread sums
1233	IF ( threads_per_task > 1 ) THEN
1234	DO i = 1, threads_per_task-1
1235	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1236	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1237	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1238	sums_l(:,45:pr_palm,i)
1239	IF ( max_pr_user > 0 ) THEN
1240	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1241	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1242	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1243	ENDIF
1244	ENDDO
1245	ENDIF
1246
1247	#if defined( __parallel )
1248
1249	!
1250	!-- Compute total sum from local sums
1251	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1252	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1253	MPI_SUM, comm2d, ierr )
1254	IF ( large_scale_forcing ) THEN
1255	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
1256	MPI_REAL, MPI_SUM, comm2d, ierr )
1257	ENDIF
1258	#else
1259	sums = sums_l(:,:,0)
1260	IF ( large_scale_forcing ) THEN
1261	sums(:,81:88) = sums_ls_l
1262	ENDIF
1263	#endif
1264
1265	!
1266	!-- Final values are obtained by division by the total number of grid points
1267	!-- used for summation. After that store profiles.
1268	!-- Check, if statistical regions do contain at least one grid point at the
1269	!-- respective k-level, otherwise division by zero will lead to undefined
1270	!-- values, which may cause e.g. problems with NetCDF output
1271	!-- Profiles:
1272	DO k = nzb, nzt+1
1273	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1274	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1275	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1276	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1277	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1278	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1279	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1280	sums(k,89:114) = sums(k,89:114) / ngp_2dh(sr)
1281	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1282	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1283	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1284	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1285	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1286	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1287	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1288	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1289	sums(k,115:pr_palm-2) = sums(k,115:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1290	ENDIF
1291	ENDDO
1292
1293	!-- u* and so on
1294	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1295	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1296	!-- above the topography, they are being divided by ngp_2dh(sr)
1297	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1298	ngp_2dh(sr)
1299	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1300	ngp_2dh(sr)
1301	!-- eges, e*
1302	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1303	ngp_3d(sr)
1304	!-- Old and new divergence
1305	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1306	ngp_3d_inner(sr)
1307
1308	!-- User-defined profiles
1309	IF ( max_pr_user > 0 ) THEN
1310	DO k = nzb, nzt+1
1311	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1312	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1313	ngp_2dh_s_inner(k,sr)
1314	ENDDO
1315	ENDIF
1316
1317	!
1318	!-- Collect horizontal average in hom.
1319	!-- Compute deduced averages (e.g. total heat flux)
1320	hom(:,1,3,sr) = sums(:,3) ! w
1321	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1322	hom(:,1,9,sr) = sums(:,9) ! km
1323	hom(:,1,10,sr) = sums(:,10) ! kh
1324	hom(:,1,11,sr) = sums(:,11) ! l
1325	hom(:,1,12,sr) = sums(:,12) ! w"u"
1326	hom(:,1,13,sr) = sums(:,13) ! wu
1327	hom(:,1,14,sr) = sums(:,14) ! w"v"
1328	hom(:,1,15,sr) = sums(:,15) ! wv
1329	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1330	hom(:,1,17,sr) = sums(:,17) ! wpt
1331	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1332	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1333	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1334	hom(:,1,21,sr) = sums(:,21) ! wptBC
1335	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1336	! profile 24 is initial profile (sa)
1337	! profiles 25-29 left empty for initial
1338	! profiles
1339	hom(:,1,30,sr) = sums(:,30) ! u*2
1340	hom(:,1,31,sr) = sums(:,31) ! v*2
1341	hom(:,1,32,sr) = sums(:,32) ! w*2
1342	hom(:,1,33,sr) = sums(:,33) ! pt*2
1343	hom(:,1,34,sr) = sums(:,34) ! e*
1344	hom(:,1,35,sr) = sums(:,35) ! w2pt
1345	hom(:,1,36,sr) = sums(:,36) ! wpt2
1346	hom(:,1,37,sr) = sums(:,37) ! we
1347	hom(:,1,38,sr) = sums(:,38) ! w*3
1348	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1349	hom(:,1,40,sr) = sums(:,40) ! p
1350	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1351	hom(:,1,46,sr) = sums(:,46) ! wvpt
1352	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1353	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1354	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1355	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1356	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1357	hom(:,1,52,sr) = sums(:,52) ! wqv
1358	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1359	hom(:,1,54,sr) = sums(:,54) ! ql
1360	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1361	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1362	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
1363	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1364	hom(:,1,59,sr) = sums(:,59) ! upt
1365	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1366	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1367	hom(:,1,62,sr) = sums(:,62) ! vpt
1368	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1369	hom(:,1,64,sr) = sums(:,64) ! rho
1370	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1371	hom(:,1,66,sr) = sums(:,66) ! wsa
1372	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1373	hom(:,1,68,sr) = sums(:,68) ! wp
1374	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
1375	hom(:,1,70,sr) = sums(:,70) ! q*2
1376	hom(:,1,71,sr) = sums(:,71) ! prho
1377	hom(:,1,72,sr) = hyp * 1E-4_wp ! hyp in dbar
1378	hom(:,1,73,sr) = sums(:,73) ! nr
1379	hom(:,1,74,sr) = sums(:,74) ! qr
1380	hom(:,1,75,sr) = sums(:,75) ! qc
1381	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1382	! 77 is initial density profile
1383	hom(:,1,78,sr) = ug ! ug
1384	hom(:,1,79,sr) = vg ! vg
1385	hom(:,1,80,sr) = w_subs ! w_subs
1386
1387	IF ( large_scale_forcing ) THEN
1388	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1389	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1390	IF ( use_subsidence_tendencies ) THEN
1391	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1392	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1393	ELSE
1394	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1395	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1396	ENDIF
1397	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1398	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1399	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1400	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1401	ENDIF
1402
1403	IF ( land_surface ) THEN
1404	hom(:,1,89,sr) = sums(:,89) ! t_soil
1405	! 90 is initial t_soil profile
1406	hom(:,1,91,sr) = sums(:,91) ! m_soil
1407	! 92 is initial m_soil profile
1408	hom(:,1,93,sr) = sums(:,93) ! ghf_eb
1409	hom(:,1,94,sr) = sums(:,94) ! shf_eb
1410	hom(:,1,95,sr) = sums(:,95) ! qsws_eb
1411	hom(:,1,96,sr) = sums(:,96) ! qsws_liq_eb
1412	hom(:,1,97,sr) = sums(:,97) ! qsws_soil_eb
1413	hom(:,1,98,sr) = sums(:,98) ! qsws_veg_eb
1414	hom(:,1,99,sr) = sums(:,99) ! r_a
1415	hom(:,1,100,sr) = sums(:,100) ! r_s
1416
1417	ENDIF
1418
1419	IF ( radiation ) THEN
1420	hom(:,1,101,sr) = sums(:,101) ! rad_net
1421	hom(:,1,102,sr) = sums(:,102) ! rad_lw_in
1422	hom(:,1,103,sr) = sums(:,103) ! rad_lw_out
1423	hom(:,1,104,sr) = sums(:,104) ! rad_sw_in
1424	hom(:,1,105,sr) = sums(:,105) ! rad_sw_out
1425
1426	IF ( radiation_scheme == 'rrtmg' ) THEN
1427	#if defined ( __rrtmg )
1428	hom(:,1,106,sr) = sums(:,106) ! rad_lw_cs_hr
1429	hom(:,1,107,sr) = sums(:,107) ! rad_lw_hr
1430	hom(:,1,108,sr) = sums(:,108) ! rad_sw_cs_hr
1431	hom(:,1,109,sr) = sums(:,109) ! rad_sw_hr
1432
1433	hom(:,1,110,sr) = sums(:,110) ! rrtm_aldif
1434	hom(:,1,111,sr) = sums(:,111) ! rrtm_aldir
1435	hom(:,1,112,sr) = sums(:,112) ! rrtm_asdif
1436	hom(:,1,113,sr) = sums(:,113) ! rrtm_asdir
1437	#endif
1438	ENDIF
1439
1440
1441	ENDIF
1442
1443	hom(:,1,114,sr) = sums(:,114) !: L
1444
1445	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
1446	! u, w'u', w'v', t (in last profile)
1447
1448	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
1449	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
1450	sums(:,pr_palm+1:pr_palm+max_pr_user)
1451	ENDIF
1452
1453	!
1454	!-- Determine the boundary layer height using two different schemes.
1455	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
1456	!-- first relative minimum (maximum) of the total heat flux.
1457	!-- The corresponding height is assumed as the boundary layer height, if it
1458	!-- is less than 1.5 times the height where the heat flux becomes negative
1459	!-- (positive) for the first time.
1460	z_i(1) = 0.0_wp
1461	first = .TRUE.
1462
1463	IF ( ocean ) THEN
1464	DO k = nzt, nzb+1, -1
1465	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
1466	first = .FALSE.
1467	height = zw(k)
1468	ENDIF
1469	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
1470	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
1471	IF ( zw(k) < 1.5_wp * height ) THEN
1472	z_i(1) = zw(k)
1473	ELSE
1474	z_i(1) = height
1475	ENDIF
1476	EXIT
1477	ENDIF
1478	ENDDO
1479	ELSE
1480	DO k = nzb, nzt-1
1481	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
1482	first = .FALSE.
1483	height = zw(k)
1484	ENDIF
1485	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
1486	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
1487	IF ( zw(k) < 1.5_wp * height ) THEN
1488	z_i(1) = zw(k)
1489	ELSE
1490	z_i(1) = height
1491	ENDIF
1492	EXIT
1493	ENDIF
1494	ENDDO
1495	ENDIF
1496
1497	!
1498	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
1499	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
1500	!-- maximal local temperature gradient: starting from the second (the last
1501	!-- but one) vertical gridpoint, the local gradient must be at least
1502	!-- 0.2K/100m and greater than the next four gradients.
1503	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
1504	!-- ocean case!
1505	z_i(2) = 0.0_wp
1506	DO k = nzb+1, nzt+1
1507	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
1508	ENDDO
1509	dptdz_threshold = 0.2_wp / 100.0_wp
1510
1511	IF ( ocean ) THEN
1512	DO k = nzt+1, nzb+5, -1
1513	IF ( dptdz(k) > dptdz_threshold .AND. &
1514	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
1515	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
1516	z_i(2) = zw(k-1)
1517	EXIT
1518	ENDIF
1519	ENDDO
1520	ELSE
1521	DO k = nzb+1, nzt-3
1522	IF ( dptdz(k) > dptdz_threshold .AND. &
1523	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
1524	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
1525	z_i(2) = zw(k-1)
1526	EXIT
1527	ENDIF
1528	ENDDO
1529	ENDIF
1530
1531	hom(nzb+6,1,pr_palm,sr) = z_i(1)
1532	hom(nzb+7,1,pr_palm,sr) = z_i(2)
1533
1534	!
1535	!-- Determine vertical index which is nearest to the mean surface level
1536	!-- height of the respective statistic region
1537	DO k = nzb, nzt
1538	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
1539	k_surface_level = k
1540	EXIT
1541	ENDIF
1542	ENDDO
1543	!
1544	!-- Computation of both the characteristic vertical velocity and
1545	!-- the characteristic convective boundary layer temperature.
1546	!-- The inversion height entering into the equation is defined with respect
1547	!-- to the mean surface level height of the respective statistic region.
1548	!-- The horizontal average at surface level index + 1 is input for the
1549	!-- average temperature.
1550	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp )&
1551	THEN
1552	hom(nzb+8,1,pr_palm,sr) = &
1553	( g / hom(k_surface_level+1,1,4,sr) * hom(k_surface_level,1,18,sr)&
1554	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
1555	ELSE
1556	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
1557	ENDIF
1558
1559	!
1560	!-- Collect the time series quantities
1561	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
1562	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
1563	ts_value(3,sr) = dt_3d
1564	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
1565	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
1566	ts_value(6,sr) = u_max
1567	ts_value(7,sr) = v_max
1568	ts_value(8,sr) = w_max
1569	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
1570	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
1571	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
1572	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
1573	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
1574	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
1575	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
1576	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
1577	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
1578	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
1579	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
1580	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
1581	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
1582
1583	IF ( .NOT. neutral ) THEN
1584	ts_value(22,sr) = hom(nzb,1,114,sr) ! L
1585	ELSE
1586	ts_value(22,sr) = 1.0E10_wp
1587	ENDIF
1588
1589	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
1590
1591	!
1592	!-- Collect land surface model timeseries
1593	IF ( land_surface ) THEN
1594	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf_eb
1595	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! shf_eb
1596	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_eb
1597	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_liq_eb
1598	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! qsws_soil_eb
1599	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! qsws_veg_eb
1600	ts_value(dots_soil+6,sr) = hom(nzb,1,99,sr) ! r_a
1601	ts_value(dots_soil+7,sr) = hom(nzb,1,100,sr) ! r_s
1602	ENDIF
1603	!
1604	!-- Collect radiation model timeseries
1605	IF ( radiation ) THEN
1606	ts_value(dots_rad,sr) = hom(nzb,1,101,sr) ! rad_net
1607	ts_value(dots_rad+1,sr) = hom(nzb,1,102,sr) ! rad_lw_in
1608	ts_value(dots_rad+2,sr) = hom(nzb,1,103,sr) ! rad_lw_out
1609	ts_value(dots_rad+3,sr) = hom(nzb,1,104,sr) ! rad_sw_in
1610	ts_value(dots_rad+4,sr) = hom(nzb,1,105,sr) ! rad_sw_out
1611
1612	#if defined ( __rrtmg )
1613	IF ( radiation_scheme == 'rrtmg' ) THEN
1614	ts_value(dots_rad+5,sr) = hom(nzb,1,110,sr) ! rrtm_aldif
1615	ts_value(dots_rad+6,sr) = hom(nzb,1,111,sr) ! rrtm_aldir
1616	ts_value(dots_rad+7,sr) = hom(nzb,1,112,sr) ! rrtm_asdif
1617	ts_value(dots_rad+8,sr) = hom(nzb,1,113,sr) ! rrtm_asdir
1618	ENDIF
1619	#endif
1620
1621	ENDIF
1622
1623	!
1624	!-- Calculate additional statistics provided by the user interface
1625	CALL user_statistics( 'time_series', sr, 0 )
1626
1627	ENDDO ! loop of the subregions
1628
1629	!
1630	!-- If required, sum up horizontal averages for subsequent time averaging.
1631	!-- Do not sum, if flow statistics is called before the first initial time step.
1632	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
1633	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
1634	hom_sum = hom_sum + hom(:,1,:,:)
1635	average_count_pr = average_count_pr + 1
1636	do_sum = .FALSE.
1637	ENDIF
1638
1639	!
1640	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
1641	!-- This flag is reset after each time step in time_integration.
1642	flow_statistics_called = .TRUE.
1643
1644	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
1645
1646
1647	END SUBROUTINE flow_statistics
1648
1649
1650	#else
1651
1652
1653	!------------------------------------------------------------------------------!
1654	! Description:
1655	! ------------
1656	!> flow statistics - accelerator version
1657	!------------------------------------------------------------------------------!
1658	SUBROUTINE flow_statistics
1659
1660	USE arrays_3d, &
1661	ONLY: ddzu, ddzw, e, hyp, km, kh, nr, p, prho, pt, q, qc, ql, qr, qs, &
1662	qsws, qswst, rho, sa, saswsb, saswst, shf, td_lsa_lpt, td_lsa_q,&
1663	td_sub_lpt, td_sub_q, time_vert, ts, tswst, u, ug, us, usws, &
1664	uswst, vsws, v, vg, vpt, vswst, w, w_subs, zw
1665
1666
1667	USE cloud_parameters, &
1668	ONLY: l_d_cp, prr, pt_d_t
1669
1670	USE control_parameters, &
1671	ONLY : average_count_pr, cloud_droplets, cloud_physics, do_sum, &
1672	dt_3d, g, humidity, kappa, large_scale_forcing, &
1673	large_scale_subsidence, max_pr_user, message_string, &
1674	microphysics_seifert, neutral, ocean, passive_scalar, &
1675	simulated_time, use_subsidence_tendencies, use_surface_fluxes, &
1676	use_top_fluxes, ws_scheme_mom, ws_scheme_sca
1677
1678	USE cpulog, &
1679	ONLY: cpu_log, log_point
1680
1681	USE grid_variables, &
1682	ONLY: ddx, ddy
1683
1684	USE indices, &
1685	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
1686	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzb_diff_s_inner, &
1687	nzb_s_inner, nzt, nzt_diff, rflags_invers
1688
1689	USE kinds
1690
1691	USE land_surface_model_mod, &
1692	ONLY: ghf_eb, land_surface, m_soil, nzb_soil, nzt_soil, &
1693	qsws_eb, qsws_liq_eb, qsws_soil_eb, qsws_veg_eb, r_a, r_s, &
1694	shf_eb, t_soil
1695
1696	USE netcdf_interface, &
1697	ONLY: dots_rad, dots_soil
1698
1699	USE pegrid
1700
1701	USE radiation_model_mod, &
1702	ONLY: radiation, radiation_scheme, rad_net, &
1703	rad_lw_in, rad_lw_out, rad_sw_in, rad_sw_out
1704
1705	#if defined ( __rrtmg )
1706	USE radiation_model_mod, &
1707	ONLY: rrtm_aldif, rrtm_aldir, rrtm_asdif, rrtm_asdir, rad_lw_cs_hr, &
1708	rad_lw_hr, rad_sw_cs_hr, rad_sw_hr
1709	#endif
1710
1711	USE statistics
1712
1713	IMPLICIT NONE
1714
1715	INTEGER(iwp) :: i !<
1716	INTEGER(iwp) :: j !<
1717	INTEGER(iwp) :: k !<
1718	INTEGER(iwp) :: k_surface_level !<
1719	INTEGER(iwp) :: nt !<
1720	INTEGER(iwp) :: omp_get_thread_num !<
1721	INTEGER(iwp) :: sr !<
1722	INTEGER(iwp) :: tn !<
1723
1724	LOGICAL :: first !<
1725
1726	REAL(wp) :: dptdz_threshold !<
1727	REAL(wp) :: fac !<
1728	REAL(wp) :: height !<
1729	REAL(wp) :: pts !<
1730	REAL(wp) :: sums_l_eper !<
1731	REAL(wp) :: sums_l_etot !<
1732	REAL(wp) :: s1 !<
1733	REAL(wp) :: s2 !<
1734	REAL(wp) :: s3 !<
1735	REAL(wp) :: s4 !<
1736	REAL(wp) :: s5 !<
1737	REAL(wp) :: s6 !<
1738	REAL(wp) :: s7 !<
1739	REAL(wp) :: ust !<
1740	REAL(wp) :: ust2 !<
1741	REAL(wp) :: u2 !<
1742	REAL(wp) :: vst !<
1743	REAL(wp) :: vst2 !<
1744	REAL(wp) :: v2 !<
1745	REAL(wp) :: w2 !<
1746	REAL(wp) :: z_i(2) !<
1747
1748	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
1749	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
1750
1751	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
1752
1753	!
1754	!-- To be on the safe side, check whether flow_statistics has already been
1755	!-- called once after the current time step
1756	IF ( flow_statistics_called ) THEN
1757
1758	message_string = 'flow_statistics is called two times within one ' // &
1759	'timestep'
1760	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
1761
1762	ENDIF
1763
1764	!$acc data create( sums, sums_l )
1765	!$acc update device( hom )
1766
1767	!
1768	!-- Compute statistics for each (sub-)region
1769	DO sr = 0, statistic_regions
1770
1771	!
1772	!-- Initialize (local) summation array
1773	sums_l = 0.0_wp
1774
1775	!
1776	!-- Store sums that have been computed in other subroutines in summation
1777	!-- array
1778	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
1779	!-- WARNING: next line still has to be adjusted for OpenMP
1780	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
1781	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
1782	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
1783
1784	!
1785	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
1786	!-- scale) vertical fluxes and velocity variances by using commonly-
1787	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
1788	!-- in combination with the 5th order advection scheme, pronounced
1789	!-- artificial kinks could be observed in the vertical profiles near the
1790	!-- surface. Please note: these kinks were not related to the model truth,
1791	!-- i.e. these kinks are just related to an evaluation problem.
1792	!-- In order avoid these kinks, vertical fluxes and horizontal as well
1793	!-- vertical velocity variances are calculated directly within the advection
1794	!-- routines, according to the numerical discretization, to evaluate the
1795	!-- statistical quantities as they will appear within the prognostic
1796	!-- equations.
1797	!-- Copy the turbulent quantities, evaluated in the advection routines to
1798	!-- the local array sums_l() for further computations.
1799	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
1800
1801	!
1802	!-- According to the Neumann bc for the horizontal velocity components,
1803	!-- the corresponding fluxes has to satisfiy the same bc.
1804	IF ( ocean ) THEN
1805	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
1806	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
1807	ENDIF
1808
1809	DO i = 0, threads_per_task-1
1810	!
1811	!-- Swap the turbulent quantities evaluated in advec_ws.
1812	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
1813	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
1814	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
1815	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
1816	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
1817	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
1818	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
1819	sums_ws2_ws_l(:,i) ) ! e*
1820	DO k = nzb, nzt
1821	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5_wp * ( &
1822	sums_us2_ws_l(k,i) + &
1823	sums_vs2_ws_l(k,i) + &
1824	sums_ws2_ws_l(k,i) )
1825	ENDDO
1826	ENDDO
1827
1828	ENDIF
1829
1830	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1831
1832	DO i = 0, threads_per_task-1
1833	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
1834	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
1835	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
1836	sums_wsqs_ws_l(:,i) !wq
1837	ENDDO
1838
1839	ENDIF
1840	!
1841	!-- Horizontally averaged profiles of horizontal velocities and temperature.
1842	!-- They must have been computed before, because they are already required
1843	!-- for other horizontal averages.
1844	tn = 0
1845
1846	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1847	!$ tn = omp_get_thread_num()
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	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, &
2120	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
2121	!$OMP w2 )
2122	!$ tn = omp_get_thread_num()
2123
2124	!$OMP DO
2125	!$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 )
2126	DO k = nzb, nzt+1
2127	s1 = 0
2128	s2 = 0
2129	s3 = 0
2130	s4 = 0
2131	s5 = 0
2132	s6 = 0
2133	s7 = 0
2134	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5, s6, s7 )
2135	DO i = nxl, nxr
2136	DO j = nys, nyn
2137	!
2138	!-- Prognostic and diagnostic variables
2139	s1 = s1 + w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2140	s2 = s2 + e(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2141	s3 = s3 + km(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2142	s4 = s4 + kh(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2143	s5 = s5 + p(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2144	s6 = s6 + ( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr) * &
2145	rflags_invers(j,i,k+1)
2146	!
2147	!-- Higher moments
2148	!-- (Computation of the skewness of w further below)
2149	s7 = s7 + w(k,j,i)*3 rmask(j,i,sr) * rflags_invers(j,i,k+1)
2150	ENDDO
2151	ENDDO
2152	sums_l(k,3,tn) = s1
2153	sums_l(k,8,tn) = s2
2154	sums_l(k,9,tn) = s3
2155	sums_l(k,10,tn) = s4
2156	sums_l(k,40,tn) = s5
2157	sums_l(k,33,tn) = s6
2158	sums_l(k,38,tn) = s7
2159	ENDDO
2160	!$acc end parallel loop
2161
2162	IF ( humidity ) THEN
2163	!$OMP DO
2164	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l ) create( s1 )
2165	DO k = nzb, nzt+1
2166	s1 = 0
2167	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2168	DO i = nxl, nxr
2169	DO j = nys, nyn
2170	s1 = s1 + ( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr) * &
2171	rflags_invers(j,i,k+1)
2172	ENDDO
2173	ENDDO
2174	sums_l(k,70,tn) = s1
2175	ENDDO
2176	!$acc end parallel loop
2177	ENDIF
2178
2179	!
2180	!-- Total and perturbation energy for the total domain (being
2181	!-- collected in the last column of sums_l).
2182	s1 = 0
2183	!$OMP DO
2184	!$acc parallel loop collapse(3) present( rflags_invers, rmask, u, v, w ) reduction(+:s1)
2185	DO i = nxl, nxr
2186	DO j = nys, nyn
2187	DO k = nzb, nzt+1
2188	s1 = s1 + 0.5_wp * &
2189	( u(k,j,i)2 + v(k,j,i)2 + w(k,j,i)*2 ) &
2190	rmask(j,i,sr) * rflags_invers(j,i,k+1)
2191	ENDDO
2192	ENDDO
2193	ENDDO
2194	!$acc end parallel loop
2195	!$acc parallel present( sums_l )
2196	sums_l(nzb+4,pr_palm,tn) = s1
2197	!$acc end parallel
2198
2199	!$OMP DO
2200	!$acc parallel present( rmask, sums_l, us, usws, vsws, ts ) create( s1, s2, s3, s4 )
2201	s1 = 0
2202	s2 = 0
2203	s3 = 0
2204	s4 = 0
2205	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
2206	DO i = nxl, nxr
2207	DO j = nys, nyn
2208	!
2209	!-- 2D-arrays (being collected in the last column of sums_l)
2210	s1 = s1 + us(j,i) * rmask(j,i,sr)
2211	s2 = s2 + usws(j,i) * rmask(j,i,sr)
2212	s3 = s3 + vsws(j,i) * rmask(j,i,sr)
2213	s4 = s4 + ts(j,i) * rmask(j,i,sr)
2214	ENDDO
2215	ENDDO
2216	sums_l(nzb,pr_palm,tn) = s1
2217	sums_l(nzb+1,pr_palm,tn) = s2
2218	sums_l(nzb+2,pr_palm,tn) = s3
2219	sums_l(nzb+3,pr_palm,tn) = s4
2220	!$acc end parallel
2221
2222	IF ( humidity ) THEN
2223	!$acc parallel present( qs, rmask, sums_l ) create( s1 )
2224	s1 = 0
2225	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2226	DO i = nxl, nxr
2227	DO j = nys, nyn
2228	s1 = s1 + qs(j,i) * rmask(j,i,sr)
2229	ENDDO
2230	ENDDO
2231	sums_l(nzb+12,pr_palm,tn) = s1
2232	!$acc end parallel
2233	ENDIF
2234
2235	!
2236	!-- Computation of statistics when ws-scheme is not used. Else these
2237	!-- quantities are evaluated in the advection routines.
2238	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) &
2239	THEN
2240
2241	!$OMP DO
2242	!$acc parallel loop gang present( u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3, s4, ust2, vst2, w2 )
2243	DO k = nzb, nzt+1
2244	s1 = 0
2245	s2 = 0
2246	s3 = 0
2247	s4 = 0
2248	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4 )
2249	DO i = nxl, nxr
2250	DO j = nys, nyn
2251	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
2252	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
2253	w2 = w(k,j,i)**2
2254
2255	s1 = s1 + ust2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2256	s2 = s2 + vst2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2257	s3 = s3 + w2 * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2258	!
2259	!-- Perturbation energy
2260	s4 = s4 + 0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * &
2261	rflags_invers(j,i,k+1)
2262	ENDDO
2263	ENDDO
2264	sums_l(k,30,tn) = s1
2265	sums_l(k,31,tn) = s2
2266	sums_l(k,32,tn) = s3
2267	sums_l(k,34,tn) = s4
2268	ENDDO
2269	!$acc end parallel loop
2270	!
2271	!-- Total perturbation TKE
2272	!$OMP DO
2273	!$acc parallel present( sums_l ) create( s1 )
2274	s1 = 0
2275	!$acc loop reduction( +: s1 )
2276	DO k = nzb, nzt+1
2277	s1 = s1 + sums_l(k,34,tn)
2278	ENDDO
2279	sums_l(nzb+5,pr_palm,tn) = s1
2280	!$acc end parallel
2281
2282	ENDIF
2283
2284	!
2285	!-- Horizontally averaged profiles of the vertical fluxes
2286
2287	!
2288	!-- Subgridscale fluxes.
2289	!-- WARNING: If a Prandtl-layer is used (k=nzb for flat terrain), the fluxes
2290	!-- ------- should be calculated there in a different way. This is done
2291	!-- in the next loop further below, where results from this loop are
2292	!-- overwritten. However, THIS WORKS IN CASE OF FLAT TERRAIN ONLY!
2293	!-- The non-flat case still has to be handled.
2294	!-- NOTE: for simplicity, nzb_s_inner is used below, although
2295	!-- ---- strictly speaking the following k-loop would have to be
2296	!-- split up according to the staggered grid.
2297	!-- However, this implies no error since staggered velocity
2298	!-- components are zero at the walls and inside buildings.
2299	!$OMP DO
2300	!$acc parallel loop gang present( ddzu, kh, km, pt, u, v, w, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
2301	DO k = nzb, nzt_diff
2302	s1 = 0
2303	s2 = 0
2304	s3 = 0
2305	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2306	DO i = nxl, nxr
2307	DO j = nys, nyn
2308
2309	!
2310	!-- Momentum flux w"u"
2311	s1 = s1 - 0.25_wp * ( &
2312	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
2313	) * ( &
2314	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
2315	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
2316	) &
2317	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2318	!
2319	!-- Momentum flux w"v"
2320	s2 = s2 - 0.25_wp * ( &
2321	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
2322	) * ( &
2323	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
2324	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
2325	) &
2326	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2327	!
2328	!-- Heat flux w"pt"
2329	s3 = s3 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2330	* ( pt(k+1,j,i) - pt(k,j,i) ) &
2331	* ddzu(k+1) * rmask(j,i,sr) &
2332	* rflags_invers(j,i,k+1)
2333	ENDDO
2334	ENDDO
2335	sums_l(k,12,tn) = s1
2336	sums_l(k,14,tn) = s2
2337	sums_l(k,16,tn) = s3
2338	ENDDO
2339	!$acc end parallel loop
2340
2341	!
2342	!-- Salinity flux w"sa"
2343	IF ( ocean ) THEN
2344	!$acc parallel loop gang present( ddzu, kh, sa, rflags_invers, rmask, sums_l ) create( s1 )
2345	DO k = nzb, nzt_diff
2346	s1 = 0
2347	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2348	DO i = nxl, nxr
2349	DO j = nys, nyn
2350	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2351	* ( sa(k+1,j,i) - sa(k,j,i) ) &
2352	* ddzu(k+1) * rmask(j,i,sr) &
2353	* rflags_invers(j,i,k+1)
2354	ENDDO
2355	ENDDO
2356	sums_l(k,65,tn) = s1
2357	ENDDO
2358	!$acc end parallel loop
2359	ENDIF
2360
2361	!
2362	!-- Buoyancy flux, water flux (humidity flux) w"q"
2363	IF ( humidity ) THEN
2364
2365	!$acc parallel loop gang present( ddzu, kh, q, vpt, rflags_invers, rmask, sums_l ) create( s1, s2 )
2366	DO k = nzb, nzt_diff
2367	s1 = 0
2368	s2 = 0
2369	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2370	DO i = nxl, nxr
2371	DO j = nys, nyn
2372	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2373	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
2374	* ddzu(k+1) * rmask(j,i,sr) &
2375	* rflags_invers(j,i,k+1)
2376	s2 = s2 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2377	* ( q(k+1,j,i) - q(k,j,i) ) &
2378	* ddzu(k+1) * rmask(j,i,sr) &
2379	* rflags_invers(j,i,k+1)
2380	ENDDO
2381	ENDDO
2382	sums_l(k,45,tn) = s1
2383	sums_l(k,48,tn) = s2
2384	ENDDO
2385	!$acc end parallel loop
2386
2387	IF ( cloud_physics ) THEN
2388
2389	!$acc parallel loop gang present( ddzu, kh, q, ql, rflags_invers, rmask, sums_l ) create( s1 )
2390	DO k = nzb, nzt_diff
2391	s1 = 0
2392	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2393	DO i = nxl, nxr
2394	DO j = nys, nyn
2395	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2396	* ( ( q(k+1,j,i) - ql(k+1,j,i) ) &
2397	- ( q(k,j,i) - ql(k,j,i) ) ) &
2398	* ddzu(k+1) * rmask(j,i,sr) &
2399	* rflags_invers(j,i,k+1)
2400	ENDDO
2401	ENDDO
2402	sums_l(k,51,tn) = s1
2403	ENDDO
2404	!$acc end parallel loop
2405
2406	ENDIF
2407
2408	ENDIF
2409	!
2410	!-- Passive scalar flux
2411	IF ( passive_scalar ) THEN
2412
2413	!$acc parallel loop gang present( ddzu, kh, q, rflags_invers, rmask, sums_l ) create( s1 )
2414	DO k = nzb, nzt_diff
2415	s1 = 0
2416	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2417	DO i = nxl, nxr
2418	DO j = nys, nyn
2419	s1 = s1 - 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
2420	* ( q(k+1,j,i) - q(k,j,i) ) &
2421	* ddzu(k+1) * rmask(j,i,sr) &
2422	* rflags_invers(j,i,k+1)
2423	ENDDO
2424	ENDDO
2425	sums_l(k,48,tn) = s1
2426	ENDDO
2427	!$acc end parallel loop
2428
2429	ENDIF
2430
2431	IF ( use_surface_fluxes ) THEN
2432
2433	!$OMP DO
2434	!$acc parallel present( rmask, shf, sums_l, usws, vsws ) create( s1, s2, s3, s4, s5 )
2435	s1 = 0
2436	s2 = 0
2437	s3 = 0
2438	s4 = 0
2439	s5 = 0
2440	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
2441	DO i = nxl, nxr
2442	DO j = nys, nyn
2443	!
2444	!-- Subgridscale fluxes in the Prandtl layer
2445	s1 = s1 + usws(j,i) * rmask(j,i,sr) ! w"u"
2446	s2 = s2 + vsws(j,i) * rmask(j,i,sr) ! w"v"
2447	s3 = s3 + shf(j,i) * rmask(j,i,sr) ! w"pt"
2448	s4 = s4 + 0.0_wp * rmask(j,i,sr) ! u"pt"
2449	s5 = s5 + 0.0_wp * rmask(j,i,sr) ! v"pt"
2450	ENDDO
2451	ENDDO
2452	sums_l(nzb,12,tn) = s1
2453	sums_l(nzb,14,tn) = s2
2454	sums_l(nzb,16,tn) = s3
2455	sums_l(nzb,58,tn) = s4
2456	sums_l(nzb,61,tn) = s5
2457	!$acc end parallel
2458
2459	IF ( ocean ) THEN
2460
2461	!$OMP DO
2462	!$acc parallel present( rmask, saswsb, sums_l ) create( s1 )
2463	s1 = 0
2464	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2465	DO i = nxl, nxr
2466	DO j = nys, nyn
2467	s1 = s1 + saswsb(j,i) * rmask(j,i,sr) ! w"sa"
2468	ENDDO
2469	ENDDO
2470	sums_l(nzb,65,tn) = s1
2471	!$acc end parallel
2472
2473	ENDIF
2474
2475	IF ( humidity ) THEN
2476
2477	!$OMP DO
2478	!$acc parallel present( pt, q, qsws, rmask, shf, sums_l ) create( s1, s2 )
2479	s1 = 0
2480	s2 = 0
2481	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2482	DO i = nxl, nxr
2483	DO j = nys, nyn
2484	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2485	s2 = s2 + ( ( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * shf(j,i) &
2486	+ 0.61_wp * pt(nzb,j,i) * qsws(j,i) )
2487	ENDDO
2488	ENDDO
2489	sums_l(nzb,48,tn) = s1
2490	sums_l(nzb,45,tn) = s2
2491	!$acc end parallel
2492
2493	IF ( cloud_droplets ) THEN
2494
2495	!$OMP DO
2496	!$acc parallel present( pt, q, ql, qsws, rmask, shf, sums_l ) create( s1 )
2497	s1 = 0
2498	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2499	DO i = nxl, nxr
2500	DO j = nys, nyn
2501	s1 = s1 + ( ( 1.0_wp + &
2502	0.61_wp * q(nzb,j,i) - ql(nzb,j,i) ) * &
2503	shf(j,i) + 0.61_wp * pt(nzb,j,i) * qsws(j,i) )
2504	ENDDO
2505	ENDDO
2506	sums_l(nzb,45,tn) = s1
2507	!$acc end parallel
2508
2509	ENDIF
2510
2511	IF ( cloud_physics ) THEN
2512
2513	!$OMP DO
2514	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
2515	s1 = 0
2516	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2517	DO i = nxl, nxr
2518	DO j = nys, nyn
2519	!
2520	!-- Formula does not work if ql(nzb) /= 0.0
2521	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2522	ENDDO
2523	ENDDO
2524	sums_l(nzb,51,tn) = s1
2525	!$acc end parallel
2526
2527	ENDIF
2528
2529	ENDIF
2530
2531	IF ( passive_scalar ) THEN
2532
2533	!$OMP DO
2534	!$acc parallel present( qsws, rmask, sums_l ) create( s1 )
2535	s1 = 0
2536	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2537	DO i = nxl, nxr
2538	DO j = nys, nyn
2539	s1 = s1 + qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2540	ENDDO
2541	ENDDO
2542	sums_l(nzb,48,tn) = s1
2543	!$acc end parallel
2544
2545	ENDIF
2546
2547	ENDIF
2548
2549	!
2550	!-- Subgridscale fluxes at the top surface
2551	IF ( use_top_fluxes ) THEN
2552
2553	!$OMP DO
2554	!$acc parallel present( rmask, sums_l, tswst, uswst, vswst ) create( s1, s2, s3, s4, s5 )
2555	s1 = 0
2556	s2 = 0
2557	s3 = 0
2558	s4 = 0
2559	s5 = 0
2560	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3, s4, s5 )
2561	DO i = nxl, nxr
2562	DO j = nys, nyn
2563	s1 = s1 + uswst(j,i) * rmask(j,i,sr) ! w"u"
2564	s2 = s2 + vswst(j,i) * rmask(j,i,sr) ! w"v"
2565	s3 = s3 + tswst(j,i) * rmask(j,i,sr) ! w"pt"
2566	s4 = s4 + 0.0_wp * rmask(j,i,sr) ! u"pt"
2567	s5 = s5 + 0.0_wp * rmask(j,i,sr) ! v"pt"
2568	ENDDO
2569	ENDDO
2570	sums_l(nzt:nzt+1,12,tn) = s1
2571	sums_l(nzt:nzt+1,14,tn) = s2
2572	sums_l(nzt:nzt+1,16,tn) = s3
2573	sums_l(nzt:nzt+1,58,tn) = s4
2574	sums_l(nzt:nzt+1,61,tn) = s5
2575	!$acc end parallel
2576
2577	IF ( ocean ) THEN
2578
2579	!$OMP DO
2580	!$acc parallel present( rmask, saswst, sums_l ) create( s1 )
2581	s1 = 0
2582	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2583	DO i = nxl, nxr
2584	DO j = nys, nyn
2585	s1 = s1 + saswst(j,i) * rmask(j,i,sr) ! w"sa"
2586	ENDDO
2587	ENDDO
2588	sums_l(nzt,65,tn) = s1
2589	!$acc end parallel
2590
2591	ENDIF
2592
2593	IF ( humidity ) THEN
2594
2595	!$OMP DO
2596	!$acc parallel present( pt, q, qswst, rmask, tswst, sums_l ) create( s1, s2 )
2597	s1 = 0
2598	s2 = 0
2599	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2600	DO i = nxl, nxr
2601	DO j = nys, nyn
2602	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2603	s2 = s2 + ( ( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * tswst(j,i) +&
2604	0.61_wp * pt(nzt,j,i) * qswst(j,i) )
2605	ENDDO
2606	ENDDO
2607	sums_l(nzt,48,tn) = s1
2608	sums_l(nzt,45,tn) = s2
2609	!$acc end parallel
2610
2611	IF ( cloud_droplets ) THEN
2612
2613	!$OMP DO
2614	!$acc parallel present( pt, q, ql, qswst, rmask, tswst, sums_l ) create( s1 )
2615	s1 = 0
2616	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2617	DO i = nxl, nxr
2618	DO j = nys, nyn
2619	s1 = s1 + ( ( 1.0_wp + &
2620	0.61_wp * q(nzt,j,i) - ql(nzt,j,i) ) * &
2621	tswst(j,i) + &
2622	0.61_wp * pt(nzt,j,i) * qswst(j,i) )
2623	ENDDO
2624	ENDDO
2625	sums_l(nzt,45,tn) = s1
2626	!$acc end parallel
2627
2628	ENDIF
2629
2630	IF ( cloud_physics ) THEN
2631
2632	!$OMP DO
2633	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
2634	s1 = 0
2635	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2636	DO i = nxl, nxr
2637	DO j = nys, nyn
2638	!
2639	!-- Formula does not work if ql(nzb) /= 0.0
2640	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2641	ENDDO
2642	ENDDO
2643	sums_l(nzt,51,tn) = s1
2644	!$acc end parallel
2645
2646	ENDIF
2647
2648	ENDIF
2649
2650	IF ( passive_scalar ) THEN
2651
2652	!$OMP DO
2653	!$acc parallel present( qswst, rmask, sums_l ) create( s1 )
2654	s1 = 0
2655	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2656	DO i = nxl, nxr
2657	DO j = nys, nyn
2658	s1 = s1 + qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
2659	ENDDO
2660	ENDDO
2661	sums_l(nzt,48,tn) = s1
2662	!$acc end parallel
2663
2664	ENDIF
2665
2666	ENDIF
2667
2668	!
2669	!-- Resolved fluxes (can be computed for all horizontal points)
2670	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
2671	!-- ---- speaking the following k-loop would have to be split up and
2672	!-- rearranged according to the staggered grid.
2673	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2, s3 )
2674	DO k = nzb, nzt_diff
2675	s1 = 0
2676	s2 = 0
2677	s3 = 0
2678	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2679	DO i = nxl, nxr
2680	DO j = nys, nyn
2681	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
2682	u(k+1,j,i) - hom(k+1,1,1,sr) )
2683	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
2684	v(k+1,j,i) - hom(k+1,1,2,sr) )
2685	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
2686	pt(k+1,j,i) - hom(k+1,1,4,sr) )
2687	!
2688	!-- Higher moments
2689	s1 = s1 + pts * w(k,j,i)*2 rmask(j,i,sr) * rflags_invers(j,i,k+1)
2690	s2 = s2 + pts*2 w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2691	!
2692	!-- Energy flux we (has to be adjusted?)
2693	s3 = s3 + w(k,j,i) * 0.5_wp * ( ust2 + vst2 + w(k,j,i)**2 )&
2694	* rmask(j,i,sr) * rflags_invers(j,i,k+1)
2695	ENDDO
2696	ENDDO
2697	sums_l(k,35,tn) = s1
2698	sums_l(k,36,tn) = s2
2699	sums_l(k,37,tn) = s3
2700	ENDDO
2701	!$acc end parallel loop
2702
2703	!
2704	!-- Salinity flux and density (density does not belong to here,
2705	!-- but so far there is no other suitable place to calculate)
2706	IF ( ocean ) THEN
2707
2708	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2709
2710	!$acc parallel loop gang present( hom, rflags_invers, rmask, sa, sums_l, w ) create( s1 )
2711	DO k = nzb, nzt_diff
2712	s1 = 0
2713	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2714	DO i = nxl, nxr
2715	DO j = nys, nyn
2716	s1 = s1 + 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
2717	sa(k+1,j,i) - hom(k+1,1,23,sr) ) &
2718	* w(k,j,i) * rmask(j,i,sr) &
2719	* rflags_invers(j,i,k+1)
2720	ENDDO
2721	ENDDO
2722	sums_l(k,66,tn) = s1
2723	ENDDO
2724	!$acc end parallel loop
2725
2726	ENDIF
2727
2728	!$acc parallel loop gang present( rflags_invers, rho, prho, rmask, sums_l ) create( s1, s2 )
2729	DO k = nzb, nzt_diff
2730	s1 = 0
2731	s2 = 0
2732	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2733	DO i = nxl, nxr
2734	DO j = nys, nyn
2735	s1 = s1 + rho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2736	s2 = s2 + prho(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2737	ENDDO
2738	ENDDO
2739	sums_l(k,64,tn) = s1
2740	sums_l(k,71,tn) = s2
2741	ENDDO
2742	!$acc end parallel loop
2743
2744	ENDIF
2745
2746	!
2747	!-- Buoyancy flux, water flux, humidity flux, liquid water
2748	!-- content, rain drop concentration and rain water content
2749	IF ( humidity ) THEN
2750
2751	IF ( cloud_physics .OR. cloud_droplets ) THEN
2752
2753	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
2754	DO k = nzb, nzt_diff
2755	s1 = 0
2756	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2757	DO i = nxl, nxr
2758	DO j = nys, nyn
2759	s1 = s1 + 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
2760	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) * &
2761	w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2762	ENDDO
2763	ENDDO
2764	sums_l(k,46,tn) = s1
2765	ENDDO
2766	!$acc end parallel loop
2767
2768	IF ( .NOT. cloud_droplets ) THEN
2769
2770	!$acc parallel loop gang present( hom, q, ql, rflags_invers, rmask, sums_l, w ) create( s1 )
2771	DO k = nzb, nzt_diff
2772	s1 = 0
2773	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2774	DO i = nxl, nxr
2775	DO j = nys, nyn
2776	s1 = s1 + 0.5_wp * ( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) + &
2777	( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) ) &
2778	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2779	ENDDO
2780	ENDDO
2781	sums_l(k,52,tn) = s1
2782	ENDDO
2783	!$acc end parallel loop
2784
2785	IF ( microphysics_seifert ) THEN
2786
2787	!$acc parallel loop gang present( qc, ql, rflags_invers, rmask, sums_l ) create( s1, s2 )
2788	DO k = nzb, nzt_diff
2789	s1 = 0
2790	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2791	DO i = nxl, nxr
2792	DO j = nys, nyn
2793	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2794	s2 = s2 + qc(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2795	ENDDO
2796	ENDDO
2797	sums_l(k,54,tn) = s1
2798	sums_l(k,75,tn) = s2
2799	ENDDO
2800	!$acc end parallel loop
2801
2802	!$acc parallel loop gang present( nr, qr, prr, rflags_invers, rmask, sums_l ) create( s1, s2, s3 )
2803	DO k = nzb, nzt_diff
2804	s1 = 0
2805	s2 = 0
2806	s3 = 0
2807	!$acc loop vector collapse( 2 ) reduction( +: s1, s2, s3 )
2808	DO i = nxl, nxr
2809	DO j = nys, nyn
2810	s1 = s1 + nr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2811	s2 = s2 + qr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2812	s3 = s3 + prr(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2813	ENDDO
2814	ENDDO
2815	sums_l(k,73,tn) = s1
2816	sums_l(k,74,tn) = s2
2817	sums_l(k,76,tn) = s3
2818	ENDDO
2819	!$acc end parallel loop
2820
2821	ELSE
2822
2823	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
2824	DO k = nzb, nzt_diff
2825	s1 = 0
2826	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2827	DO i = nxl, nxr
2828	DO j = nys, nyn
2829	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2830	ENDDO
2831	ENDDO
2832	sums_l(k,54,tn) = s1
2833	ENDDO
2834	!$acc end parallel loop
2835
2836	ENDIF
2837
2838	ELSE
2839
2840	!$acc parallel loop gang present( ql, rflags_invers, rmask, sums_l ) create( s1 )
2841	DO k = nzb, nzt_diff
2842	s1 = 0
2843	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2844	DO i = nxl, nxr
2845	DO j = nys, nyn
2846	s1 = s1 + ql(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2847	ENDDO
2848	ENDDO
2849	sums_l(k,54,tn) = s1
2850	ENDDO
2851	!$acc end parallel loop
2852
2853	ENDIF
2854
2855	ELSE
2856
2857	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2858
2859	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, vpt, w ) create( s1 )
2860	DO k = nzb, nzt_diff
2861	s1 = 0
2862	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2863	DO i = nxl, nxr
2864	DO j = nys, nyn
2865	s1 = s1 + 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
2866	vpt(k+1,j,i) - hom(k+1,1,44,sr) ) &
2867	* w(k,j,i) * rmask(j,i,sr) * rflags_invers(j,i,k+1)
2868	ENDDO
2869	ENDDO
2870	sums_l(k,46,tn) = s1
2871	ENDDO
2872	!$acc end parallel loop
2873
2874	ELSEIF ( ws_scheme_sca .AND. sr == 0 ) THEN
2875
2876	!$acc parallel loop present( hom, sums_l )
2877	DO k = nzb, nzt_diff
2878	sums_l(k,46,tn) = ( 1.0_wp + 0.61_wp * hom(k,1,41,sr) ) * sums_l(k,17,tn) + &
2879	0.61_wp * hom(k,1,4,sr) * sums_l(k,49,tn)
2880	ENDDO
2881	!$acc end parallel loop
2882
2883	ENDIF
2884
2885	ENDIF
2886
2887	ENDIF
2888	!
2889	!-- Passive scalar flux
2890	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca .OR. sr /= 0 ) ) THEN
2891
2892	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
2893	DO k = nzb, nzt_diff
2894	s1 = 0
2895	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2896	DO i = nxl, nxr
2897	DO j = nys, nyn
2898	s1 = s1 + 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
2899	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
2900	* w(k,j,i) * rmask(j,i,sr) &
2901	* rflags_invers(j,i,k+1)
2902	ENDDO
2903	ENDDO
2904	sums_l(k,49,tn) = s1
2905	ENDDO
2906	!$acc end parallel loop
2907
2908	ENDIF
2909
2910	!
2911	!-- For speed optimization fluxes which have been computed in part directly
2912	!-- inside the WS advection routines are treated seperatly
2913	!-- Momentum fluxes first:
2914	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
2915
2916	!$OMP DO
2917	!$acc parallel loop gang present( hom, rflags_invers, rmask, sums_l, u, v, w ) create( s1, s2 )
2918	DO k = nzb, nzt_diff
2919	s1 = 0
2920	s2 = 0
2921	!$acc loop vector collapse( 2 ) reduction( +: s1, s2 )
2922	DO i = nxl, nxr
2923	DO j = nys, nyn
2924	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
2925	u(k+1,j,i) - hom(k+1,1,1,sr) )
2926	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
2927	v(k+1,j,i) - hom(k+1,1,2,sr) )
2928	!
2929	!-- Momentum flux wu
2930	s1 = s1 + 0.5_wp * ( w(k,j,i-1) + w(k,j,i) ) &
2931	* ust * rmask(j,i,sr) &
2932	* rflags_invers(j,i,k+1)
2933	!
2934	!-- Momentum flux wv
2935	s2 = s2 + 0.5_wp * ( w(k,j-1,i) + w(k,j,i) ) &
2936	* vst * rmask(j,i,sr) &
2937	* rflags_invers(j,i,k+1)
2938	ENDDO
2939	ENDDO
2940	sums_l(k,13,tn) = s1
2941	sums_l(k,15,tn) = s1
2942	ENDDO
2943	!$acc end parallel loop
2944
2945	ENDIF
2946
2947	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
2948
2949	!$OMP DO
2950	!$acc parallel loop gang present( hom, pt, rflags_invers, rmask, sums_l, w ) create( s1 )
2951	DO k = nzb, nzt_diff
2952	s1 = 0
2953	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2954	DO i = nxl, nxr
2955	DO j = nys, nyn
2956	!
2957	!-- Vertical heat flux
2958	s1 = s1 + 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
2959	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
2960	* w(k,j,i) * rmask(j,i,sr) &
2961	* rflags_invers(j,i,k+1)
2962	ENDDO
2963	ENDDO
2964	sums_l(k,17,tn) = s1
2965	ENDDO
2966	!$acc end parallel loop
2967
2968	IF ( humidity ) THEN
2969
2970	!$acc parallel loop gang present( hom, q, rflags_invers, rmask, sums_l, w ) create( s1 )
2971	DO k = nzb, nzt_diff
2972	s1 = 0
2973	!$acc loop vector collapse( 2 ) reduction( +: s1 )
2974	DO i = nxl, nxr
2975	DO j = nys, nyn
2976	s1 = s1 + 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
2977	q(k+1,j,i) - hom(k+1,1,41,sr) ) &
2978	* w(k,j,i) * rmask(j,i,sr) &
2979	* rflags_invers(j,i,k+1)
2980	ENDDO
2981	ENDDO
2982	sums_l(k,49,tn) = s1
2983	ENDDO
2984	!$acc end parallel loop
2985
2986	ENDIF
2987
2988	ENDIF
2989
2990
2991	!
2992	!-- Density at top follows Neumann condition
2993	IF ( ocean ) THEN
2994	!$acc parallel present( sums_l )
2995	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
2996	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
2997	!$acc end parallel
2998	ENDIF
2999
3000	!
3001	!-- Divergence of vertical flux of resolved scale energy and pressure
3002	!-- fluctuations as well as flux of pressure fluctuation itself (68).
3003	!-- First calculate the products, then the divergence.
3004	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
3005	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) THEN
3006
3007	STOP '+++ openACC porting for vertical flux div of resolved scale TKE in flow_statistics is still missing'
3008	sums_ll = 0.0_wp ! local array
3009
3010	!$OMP DO
3011	DO i = nxl, nxr
3012	DO j = nys, nyn
3013	DO k = nzb_s_inner(j,i)+1, nzt
3014
3015	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
3016	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
3017	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2&
3018	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
3019	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2&
3020	+ w(k,j,i)**2 )
3021
3022	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
3023	* ( p(k,j,i) + p(k+1,j,i) )
3024
3025	ENDDO
3026	ENDDO
3027	ENDDO
3028	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
3029	sums_ll(nzt+1,1) = 0.0_wp
3030	sums_ll(0,2) = 0.0_wp
3031	sums_ll(nzt+1,2) = 0.0_wp
3032
3033	DO k = nzb+1, nzt
3034	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
3035	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
3036	sums_l(k,68,tn) = sums_ll(k,2)
3037	ENDDO
3038	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
3039	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
3040	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
3041
3042	ENDIF
3043
3044	!
3045	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
3046	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) THEN
3047
3048	STOP '+++ openACC porting for vertical flux div of SGS TKE in flow_statistics is still missing'
3049	!$OMP DO
3050	DO i = nxl, nxr
3051	DO j = nys, nyn
3052	DO k = nzb_s_inner(j,i)+1, nzt
3053
3054	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
3055	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
3056	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
3057	) * ddzw(k)
3058
3059	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
3060	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
3061	)
3062
3063	ENDDO
3064	ENDDO
3065	ENDDO
3066	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
3067	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
3068
3069	ENDIF
3070
3071	!
3072	!-- Horizontal heat fluxes (subgrid, resolved, total).
3073	!-- Do it only, if profiles shall be plotted.
3074	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
3075
3076	STOP '+++ openACC porting for horizontal flux calculation in flow_statistics is still missing'
3077	!$OMP DO
3078	DO i = nxl, nxr
3079	DO j = nys, nyn
3080	DO k = nzb_s_inner(j,i)+1, nzt
3081	!
3082	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
3083	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
3084	( kh(k,j,i) + kh(k,j,i-1) ) &
3085	* ( pt(k,j,i-1) - pt(k,j,i) ) &
3086	* ddx * rmask(j,i,sr)
3087	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
3088	( kh(k,j,i) + kh(k,j-1,i) ) &
3089	* ( pt(k,j-1,i) - pt(k,j,i) ) &
3090	* ddy * rmask(j,i,sr)
3091	!
3092	!-- Resolved horizontal heat fluxes upt, vpt
3093	sums_l(k,59,tn) = sums_l(k,59,tn) + &
3094	( u(k,j,i) - hom(k,1,1,sr) ) * 0.5_wp * &
3095	( pt(k,j,i-1) - hom(k,1,4,sr) + &
3096	pt(k,j,i) - hom(k,1,4,sr) )
3097	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
3098	pt(k,j,i) - hom(k,1,4,sr) )
3099	sums_l(k,62,tn) = sums_l(k,62,tn) + &
3100	( v(k,j,i) - hom(k,1,2,sr) ) * 0.5_wp * &
3101	( pt(k,j-1,i) - hom(k,1,4,sr) + &
3102	pt(k,j,i) - hom(k,1,4,sr) )
3103	ENDDO
3104	ENDDO
3105	ENDDO
3106	!
3107	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
3108	sums_l(nzb,58,tn) = 0.0_wp
3109	sums_l(nzb,59,tn) = 0.0_wp
3110	sums_l(nzb,60,tn) = 0.0_wp
3111	sums_l(nzb,61,tn) = 0.0_wp
3112	sums_l(nzb,62,tn) = 0.0_wp
3113	sums_l(nzb,63,tn) = 0.0_wp
3114
3115	ENDIF
3116
3117	!
3118	!-- Collect current large scale advection and subsidence tendencies for
3119	!-- data output
3120	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
3121	!
3122	!-- Interpolation in time of LSF_DATA
3123	nt = 1
3124	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
3125	nt = nt + 1
3126	ENDDO
3127	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
3128	nt = nt - 1
3129	ENDIF
3130
3131	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
3132	/ ( time_vert(nt+1)-time_vert(nt) )
3133
3134
3135	DO k = nzb, nzt
3136	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
3137	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
3138	sums_ls_l(k,1) = td_lsa_q(k,nt) &
3139	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
3140	ENDDO
3141
3142	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
3143	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
3144
3145	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
3146
3147	DO k = nzb, nzt
3148	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
3149	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
3150	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
3151	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
3152	ENDDO
3153
3154	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
3155	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
3156
3157	ENDIF
3158
3159	ENDIF
3160
3161
3162	IF ( land_surface ) THEN
3163	!$OMP DO
3164	DO i = nxl, nxr
3165	DO j = nys, nyn
3166	DO k = nzb_soil, nzt_soil
3167	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil(k,j,i) &
3168	* rmask(j,i,sr)
3169	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil(k,j,i) &
3170	* rmask(j,i,sr)
3171	ENDDO
3172	ENDDO
3173	ENDDO
3174	ENDIF
3175
3176
3177	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
3178	!$OMP DO
3179	DO i = nxl, nxr
3180	DO j = nys, nyn
3181	DO k = nzb_s_inner(j,i)+1, nzt+1
3182	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_lw_in(k,j,i) &
3183	* rmask(j,i,sr)
3184	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_lw_out(k,j,i) &
3185	* rmask(j,i,sr)
3186	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_sw_in(k,j,i) &
3187	* rmask(j,i,sr)
3188	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_sw_out(k,j,i) &
3189	* rmask(j,i,sr)
3190	#if defined ( __rrtmg )
3191	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_lw_cs_hr(k,j,i) &
3192	* rmask(j,i,sr)
3193	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_lw_hr(k,j,i) &
3194	* rmask(j,i,sr)
3195	sums_l(k,108,tn) = sums_l(k,108,tn) + rad_sw_cs_hr(k,j,i) &
3196	* rmask(j,i,sr)
3197	sums_l(k,109,tn) = sums_l(k,109,tn) + rad_sw_hr(k,j,i) &
3198	* rmask(j,i,sr)
3199	#endif
3200	ENDDO
3201	ENDDO
3202	ENDDO
3203	ENDIF
3204
3205	!
3206	!-- Calculate the user-defined profiles
3207	CALL user_statistics( 'profiles', sr, tn )
3208	!$OMP END PARALLEL
3209
3210	!
3211	!-- Summation of thread sums
3212	IF ( threads_per_task > 1 ) THEN
3213	STOP '+++ openACC porting for threads_per_task > 1 in flow_statistics is still missing'
3214	DO i = 1, threads_per_task-1
3215	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
3216	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
3217	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
3218	sums_l(:,45:pr_palm,i)
3219	IF ( max_pr_user > 0 ) THEN
3220	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
3221	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
3222	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
3223	ENDIF
3224	ENDDO
3225	ENDIF
3226
3227	!$acc update host( hom, sums, sums_l )
3228
3229	#if defined( __parallel )
3230
3231	!
3232	!-- Compute total sum from local sums
3233	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
3234	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
3235	MPI_SUM, comm2d, ierr )
3236	IF ( large_scale_forcing ) THEN
3237	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
3238	MPI_REAL, MPI_SUM, comm2d, ierr )
3239	ENDIF
3240	#else
3241	sums = sums_l(:,:,0)
3242	IF ( large_scale_forcing ) THEN
3243	sums(:,81:88) = sums_ls_l
3244	ENDIF
3245	#endif
3246
3247	!
3248	!-- Final values are obtained by division by the total number of grid points
3249	!-- used for summation. After that store profiles.
3250	!-- Check, if statistical regions do contain at least one grid point at the
3251	!-- respective k-level, otherwise division by zero will lead to undefined
3252	!-- values, which may cause e.g. problems with NetCDF output
3253	!-- Profiles:
3254	DO k = nzb, nzt+1
3255	sums(k,3) = sums(k,3) / ngp_2dh(sr)
3256	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
3257	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
3258	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
3259	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
3260	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
3261	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
3262	sums(k,89:114) = sums(k,89:114) / ngp_2dh(sr)
3263	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
3264	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
3265	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
3266	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
3267	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
3268	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
3269	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
3270	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
3271	sums(k,115:pr_palm-2) = sums(k,115:pr_palm-2) / ngp_2dh_s_inner(k,sr)
3272	ENDIF
3273	ENDDO
3274
3275	!-- u* and so on
3276	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
3277	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
3278	!-- above the topography, they are being divided by ngp_2dh(sr)
3279	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
3280	ngp_2dh(sr)
3281	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
3282	ngp_2dh(sr)
3283	!-- eges, e*
3284	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
3285	ngp_3d(sr)
3286	!-- Old and new divergence
3287	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
3288	ngp_3d_inner(sr)
3289
3290	!-- User-defined profiles
3291	IF ( max_pr_user > 0 ) THEN
3292	DO k = nzb, nzt+1
3293	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
3294	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
3295	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
3296	ngp_2dh_s_inner(k,sr)
3297	ENDIF
3298	ENDDO
3299	ENDIF
3300
3301	!
3302	!-- Collect horizontal average in hom.
3303	!-- Compute deduced averages (e.g. total heat flux)
3304	hom(:,1,3,sr) = sums(:,3) ! w
3305	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
3306	hom(:,1,9,sr) = sums(:,9) ! km
3307	hom(:,1,10,sr) = sums(:,10) ! kh
3308	hom(:,1,11,sr) = sums(:,11) ! l
3309	hom(:,1,12,sr) = sums(:,12) ! w"u"
3310	hom(:,1,13,sr) = sums(:,13) ! wu
3311	hom(:,1,14,sr) = sums(:,14) ! w"v"
3312	hom(:,1,15,sr) = sums(:,15) ! wv
3313	hom(:,1,16,sr) = sums(:,16) ! w"pt"
3314	hom(:,1,17,sr) = sums(:,17) ! wpt
3315	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
3316	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
3317	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
3318	hom(:,1,21,sr) = sums(:,21) ! wptBC
3319	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
3320	! profile 24 is initial profile (sa)
3321	! profiles 25-29 left empty for initial
3322	! profiles
3323	hom(:,1,30,sr) = sums(:,30) ! u*2
3324	hom(:,1,31,sr) = sums(:,31) ! v*2
3325	hom(:,1,32,sr) = sums(:,32) ! w*2
3326	hom(:,1,33,sr) = sums(:,33) ! pt*2
3327	hom(:,1,34,sr) = sums(:,34) ! e*
3328	hom(:,1,35,sr) = sums(:,35) ! w2pt
3329	hom(:,1,36,sr) = sums(:,36) ! wpt2
3330	hom(:,1,37,sr) = sums(:,37) ! we
3331	hom(:,1,38,sr) = sums(:,38) ! w*3
3332	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
3333	hom(:,1,40,sr) = sums(:,40) ! p
3334	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
3335	hom(:,1,46,sr) = sums(:,46) ! wvpt
3336	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
3337	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
3338	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
3339	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
3340	hom(:,1,51,sr) = sums(:,51) ! w"qv"
3341	hom(:,1,52,sr) = sums(:,52) ! wqv
3342	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
3343	hom(:,1,54,sr) = sums(:,54) ! ql
3344	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
3345	hom(:,1,56,sr) = sums(:,56) ! wp/dz
3346	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
3347	hom(:,1,58,sr) = sums(:,58) ! u"pt"
3348	hom(:,1,59,sr) = sums(:,59) ! upt
3349	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
3350	hom(:,1,61,sr) = sums(:,61) ! v"pt"
3351	hom(:,1,62,sr) = sums(:,62) ! vpt
3352	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
3353	hom(:,1,64,sr) = sums(:,64) ! rho
3354	hom(:,1,65,sr) = sums(:,65) ! w"sa"
3355	hom(:,1,66,sr) = sums(:,66) ! wsa
3356	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
3357	hom(:,1,68,sr) = sums(:,68) ! wp
3358	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
3359	hom(:,1,70,sr) = sums(:,70) ! q*2
3360	hom(:,1,71,sr) = sums(:,71) ! prho
3361	hom(:,1,72,sr) = hyp * 1E-4_wp ! hyp in dbar
3362	hom(:,1,73,sr) = sums(:,73) ! nr
3363	hom(:,1,74,sr) = sums(:,74) ! qr
3364	hom(:,1,75,sr) = sums(:,75) ! qc
3365	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
3366	! 77 is initial density profile
3367	hom(:,1,78,sr) = ug ! ug
3368	hom(:,1,79,sr) = vg ! vg
3369	hom(:,1,80,sr) = w_subs ! w_subs
3370
3371	IF ( large_scale_forcing ) THEN
3372	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
3373	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
3374	IF ( use_subsidence_tendencies ) THEN
3375	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
3376	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
3377	ELSE
3378	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
3379	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
3380	ENDIF
3381	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
3382	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
3383	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
3384	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
3385	END IF
3386
3387	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
3388	! u, w'u', w'v', t (in last profile)
3389
3390	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
3391	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
3392	sums(:,pr_palm+1:pr_palm+max_pr_user)
3393	ENDIF
3394
3395	!
3396	!-- Determine the boundary layer height using two different schemes.
3397	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
3398	!-- first relative minimum (maximum) of the total heat flux.
3399	!-- The corresponding height is assumed as the boundary layer height, if it
3400	!-- is less than 1.5 times the height where the heat flux becomes negative
3401	!-- (positive) for the first time.
3402	z_i(1) = 0.0_wp
3403	first = .TRUE.
3404
3405	IF ( ocean ) THEN
3406	DO k = nzt, nzb+1, -1
3407	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
3408	first = .FALSE.
3409	height = zw(k)
3410	ENDIF
3411	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
3412	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
3413	IF ( zw(k) < 1.5_wp * height ) THEN
3414	z_i(1) = zw(k)
3415	ELSE
3416	z_i(1) = height
3417	ENDIF
3418	EXIT
3419	ENDIF
3420	ENDDO
3421	ELSE
3422	DO k = nzb, nzt-1
3423	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
3424	first = .FALSE.
3425	height = zw(k)
3426	ENDIF
3427	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
3428	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
3429	IF ( zw(k) < 1.5_wp * height ) THEN
3430	z_i(1) = zw(k)
3431	ELSE
3432	z_i(1) = height
3433	ENDIF
3434	EXIT
3435	ENDIF
3436	ENDDO
3437	ENDIF
3438
3439	!
3440	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
3441	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
3442	!-- maximal local temperature gradient: starting from the second (the last
3443	!-- but one) vertical gridpoint, the local gradient must be at least
3444	!-- 0.2K/100m and greater than the next four gradients.
3445	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
3446	!-- ocean case!
3447	z_i(2) = 0.0_wp
3448	DO k = nzb+1, nzt+1
3449	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
3450	ENDDO
3451	dptdz_threshold = 0.2_wp / 100.0_wp
3452
3453	IF ( ocean ) THEN
3454	DO k = nzt+1, nzb+5, -1
3455	IF ( dptdz(k) > dptdz_threshold .AND. &
3456	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
3457	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
3458	z_i(2) = zw(k-1)
3459	EXIT
3460	ENDIF
3461	ENDDO
3462	ELSE
3463	DO k = nzb+1, nzt-3
3464	IF ( dptdz(k) > dptdz_threshold .AND. &
3465	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
3466	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
3467	z_i(2) = zw(k-1)
3468	EXIT
3469	ENDIF
3470	ENDDO
3471	ENDIF
3472
3473	hom(nzb+6,1,pr_palm,sr) = z_i(1)
3474	hom(nzb+7,1,pr_palm,sr) = z_i(2)
3475
3476	!
3477	!-- Determine vertical index which is nearest to the mean surface level
3478	!-- height of the respective statistic region
3479	DO k = nzb, nzt
3480	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
3481	k_surface_level = k
3482	EXIT
3483	ENDIF
3484	ENDDO
3485
3486	!
3487	!-- Computation of both the characteristic vertical velocity and
3488	!-- the characteristic convective boundary layer temperature.
3489	!-- The inversion height entering into the equation is defined with respect
3490	!-- to the mean surface level height of the respective statistic region.
3491	!-- The horizontal average at surface level index + 1 is input for the
3492	!-- average temperature.
3493	IF ( hom(nzb,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp ) THEN
3494	hom(nzb+8,1,pr_palm,sr) = &
3495	( g / hom(k_surface_level+1,1,4,sr) * hom(k_surface_level,1,18,sr)&
3496	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
3497	ELSE
3498	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
3499	ENDIF
3500
3501	!
3502	!-- Collect the time series quantities
3503	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
3504	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
3505	ts_value(3,sr) = dt_3d
3506	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
3507	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
3508	ts_value(6,sr) = u_max
3509	ts_value(7,sr) = v_max
3510	ts_value(8,sr) = w_max
3511	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
3512	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
3513	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
3514	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
3515	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
3516	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
3517	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
3518	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
3519	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
3520	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
3521	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
3522	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
3523	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
3524
3525	IF ( .NOT. neutral ) THEN
3526	ts_value(22,sr) = hom(nzb,1,114,sr) ! L
3527	ELSE
3528	ts_value(22,sr) = 1.0E10_wp
3529	ENDIF
3530
3531	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
3532
3533	!
3534	!-- Collect land surface model timeseries
3535	IF ( land_surface ) THEN
3536	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf_eb
3537	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! shf_eb
3538	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_eb
3539	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_liq_eb
3540	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! qsws_soil_eb
3541	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! qsws_veg_eb
3542	ts_value(dots_soil+6,sr) = hom(nzb,1,99,sr) ! r_a
3543	ts_value(dots_soil+7,sr) = hom(nzb,1,100,sr) ! r_s
3544	ENDIF
3545	!
3546	!-- Collect radiation model timeseries
3547	IF ( radiation ) THEN
3548	ts_value(dots_rad,sr) = hom(nzb,1,101,sr) ! rad_net
3549	ts_value(dots_rad+1,sr) = hom(nzb,1,102,sr) ! rad_lw_in
3550	ts_value(dots_rad+2,sr) = hom(nzb,1,103,sr) ! rad_lw_out
3551	ts_value(dots_rad+3,sr) = hom(nzb,1,104,sr) ! rad_sw_in
3552	ts_value(dots_rad+4,sr) = hom(nzb,1,105,sr) ! rad_sw_out
3553
3554	#if defined ( __rrtmg )
3555	IF ( radiation_scheme == 'rrtmg' ) THEN
3556	ts_value(dots_rad+5,sr) = hom(nzb,1,106,sr) ! rrtm_aldif
3557	ts_value(dots_rad+6,sr) = hom(nzb,1,107,sr) ! rrtm_aldir
3558	ts_value(dots_rad+7,sr) = hom(nzb,1,108,sr) ! rrtm_asdif
3559	ts_value(dots_rad+8,sr) = hom(nzb,1,109,sr) ! rrtm_asdir
3560	ENDIF
3561	#endif
3562
3563	ENDIF
3564
3565	!
3566	!-- Calculate additional statistics provided by the user interface
3567	CALL user_statistics( 'time_series', sr, 0 )
3568
3569	ENDDO ! loop of the subregions
3570
3571	!$acc end data
3572
3573	!
3574	!-- If required, sum up horizontal averages for subsequent time averaging
3575	!-- Do not sum, if flow statistics is called before the first initial time step.
3576	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
3577	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
3578	hom_sum = hom_sum + hom(:,1,:,:)
3579	average_count_pr = average_count_pr + 1
3580	do_sum = .FALSE.
3581	ENDIF
3582
3583	!
3584	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
3585	!-- This flag is reset after each time step in time_integration.
3586	flow_statistics_called = .TRUE.
3587
3588	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
3589
3590
3591	END SUBROUTINE flow_statistics
3592	#endif

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