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source: palm/trunk/SOURCE/flow_statistics.f90 @ 4739

Last change on this file since 4739 was 4703, checked in by suehring, 4 years ago
Revise profile and timeseries averaging of land-surface quantities
Property svn:keywords set to `Id`
File size: 117.6 KB

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1	!> @file flow_statistics.f90
2	!--------------------------------------------------------------------------------------------------!
3	! This file is part of the PALM model system.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the terms of the GNU General
6	! Public License as published by the Free Software Foundation, either version 3 of the License, or
7	! (at your option) any later version.
8	!
9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the
10	! implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
11	! Public License for more details.
12	!
13	! You should have received a copy of the GNU General Public License along with PALM. If not, see
14	! <http://www.gnu.org/licenses/>.
15	!
16	! Copyright 1997-2020 Leibniz Universitaet Hannover
17	!--------------------------------------------------------------------------------------------------!
18	!
19	! Current revisions:
20	! ------------------
21	!
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: flow_statistics.f90 4703 2020-09-28 09:21:45Z maronga $
26	! Revise averaging of land-surface quantities
27	!
28	! 4672 2020-09-09 21:27:32Z pavelkrc
29	! OpenACC bugfix
30	!
31	! 4671 2020-09-09 20:27:58Z pavelkrc
32	! Implementation of downward facing USM and LSM surfaces
33	!
34	! 4646 2020-08-24 16:02:40Z raasch
35	! file re-formatted to follow the PALM coding standard
36	!
37	! 4581 2020-06-29 08:49:58Z suehring
38	! Formatting adjustment
39	!
40	! 4551 2020-06-02 10:22:25Z suehring
41	! Bugfix in summation for statistical regions
42	!
43	! 4521 2020-05-06 11:39:49Z schwenkel
44	! Rename variable
45	!
46	! 4502 2020-04-17 16:14:16Z schwenkel
47	! Implementation of ice microphysics
48	!
49	! 4472 2020-03-24 12:21:00Z Giersch
50	! Calculations of the Kolmogorov lengt scale eta implemented
51	!
52	! 4464 2020-03-17 11:08:46Z Giersch
53	! Reset last change (r4463)
54	!
55	! 4463 2020-03-17 09:27:36Z Giersch
56	! Calculate horizontally averaged profiles of all velocity components at the same place
57	!
58	! 4444 2020-03-05 15:59:50Z raasch
59	! bugfix: cpp-directives for serial mode added
60	!
61	! 4442 2020-03-04 19:21:13Z suehring
62	! Change order of dimension in surface array %frac to allow for better vectorization.
63	!
64	! 4441 2020-03-04 19:20:35Z suehring
65	! Introduction of wall_flags_total_0, which currently sets bits based on static topography
66	! information used in wall_flags_static_0
67	!
68	! 4329 2019-12-10 15:46:36Z motisi
69	! Renamed wall_flags_0 to wall_flags_static_0
70	!
71	! 4182 2019-08-22 15:20:23Z scharf
72	! Corrected "Former revisions" section
73	!
74	! 4131 2019-08-02 11:06:18Z monakurppa
75	! Allow profile output for salsa variables.
76	!
77	! 4039 2019-06-18 10:32:41Z suehring
78	! Correct conversion to kinematic scalar fluxes in case of pw-scheme and statistic regions
79	!
80	! 3828 2019-03-27 19:36:23Z raasch
81	! unused variables removed
82	!
83	! 3676 2019-01-16 15:07:05Z knoop
84	! Bugfix, terminate OMP Parallel block
85	!
86	! Revision 1.1 1997/08/11 06:15:17 raasch
87	! Initial revision
88	!
89	!
90	! Description:
91	! ------------
92	!> Compute average profiles and further average flow quantities for the different user-defined
93	!> (sub-)regions. The region indexed 0 is the total model domain.
94	!>
95	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are used as a lower vertical index for
96	!> k-loops for all variables, although strictly speaking the k-loops would have to be split
97	!> up according to the staggered grid. However, this implies no error since staggered velocity
98	!> components are zero at the walls and inside buildings.
99	!--------------------------------------------------------------------------------------------------!
100	SUBROUTINE flow_statistics
101
102
103	USE arrays_3d, &
104	ONLY: ddzu, ddzw, d_exner, e, heatflux_output_conversion, hyp, km, kh, &
105	momentumflux_output_conversion, nc, ni, nr, p, prho, prr, pt, q, qc, qi, ql, qr, &
106	rho_air, rho_air_zw, rho_ocean, s, sa, u, ug, v, vg, vpt, w, w_subs, &
107	waterflux_output_conversion, zw
108
109	USE basic_constants_and_equations_mod, &
110	ONLY: g, lv_d_cp
111
112	USE bulk_cloud_model_mod, &
113	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert, microphysics_ice_phase
114
115	USE chem_modules, &
116	ONLY: max_pr_cs
117
118	USE control_parameters, &
119	ONLY: air_chemistry, average_count_pr, cloud_droplets, do_sum, dt_3d, humidity, &
120	initializing_actions, kolmogorov_length_scale, land_surface, large_scale_forcing, &
121	large_scale_subsidence, max_pr_salsa, max_pr_user, message_string, neutral, &
122	ocean_mode, passive_scalar, salsa, simulated_time, simulated_time_at_begin, &
123	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, ws_scheme_mom, &
124	ws_scheme_sca
125
126	USE cpulog, &
127	ONLY: cpu_log, log_point
128
129	USE grid_variables, &
130	ONLY: ddx, ddy
131
132	USE indices, &
133	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, nxl, nxr, nyn, nys, nzb, nzt, &
134	topo_min_level, wall_flags_total_0
135
136	#if defined( __parallel )
137	USE indices, &
138	ONLY: ngp_sums, ngp_sums_ls
139	#endif
140
141	USE kinds
142
143	USE land_surface_model_mod, &
144	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
145
146	USE lsf_nudging_mod, &
147	ONLY: td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert
148
149	USE module_interface, &
150	ONLY: module_interface_statistics
151
152	USE netcdf_interface, &
153	ONLY: dots_rad, dots_soil, dots_max
154
155	USE pegrid
156
157	USE radiation_model_mod, &
158	ONLY: radiation, radiation_scheme, &
159	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
160	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
161
162	USE statistics
163
164	USE surface_mod, &
165	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
166
167
168	IMPLICIT NONE
169
170	INTEGER(iwp) :: i !<
171	INTEGER(iwp) :: j !<
172	INTEGER(iwp) :: k !<
173	INTEGER(iwp) :: ki !<
174	INTEGER(iwp) :: k_surface_level !<
175	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
176	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
177	INTEGER(iwp) :: nt !<
178	!$ INTEGER(iwp) :: omp_get_thread_num !<
179	INTEGER(iwp) :: sr !<
180	INTEGER(iwp) :: tn !<
181
182	LOGICAL :: first !<
183
184	REAL(wp) :: dissipation !< dissipation rate
185	REAL(wp) :: dptdz_threshold !<
186	REAL(wp) :: du_dx !< Derivative of u fluctuations with respect to x
187	REAL(wp) :: du_dy !< Derivative of u fluctuations with respect to y
188	REAL(wp) :: du_dz !< Derivative of u fluctuations with respect to z
189	REAL(wp) :: dv_dx !< Derivative of v fluctuations with respect to x
190	REAL(wp) :: dv_dy !< Derivative of v fluctuations with respect to y
191	REAL(wp) :: dv_dz !< Derivative of v fluctuations with respect to z
192	REAL(wp) :: dw_dx !< Derivative of w fluctuations with respect to x
193	REAL(wp) :: dw_dy !< Derivative of w fluctuations with respect to y
194	REAL(wp) :: dw_dz !< Derivative of w fluctuations with respect to z
195	REAL(wp) :: eta !< Kolmogorov length scale
196	REAL(wp) :: fac !<
197	REAL(wp) :: flag !<
198	REAL(wp) :: height !<
199	REAL(wp) :: pts !<
200	REAL(wp) :: s11 !< fluctuating rate-of-strain tensor component 11
201	REAL(wp) :: s21 !< fluctuating rate-of-strain tensor component 21
202	REAL(wp) :: s31 !< fluctuating rate-of-strain tensor component 31
203	REAL(wp) :: s12 !< fluctuating rate-of-strain tensor component 12
204	REAL(wp) :: s22 !< fluctuating rate-of-strain tensor component 22
205	REAL(wp) :: s32 !< fluctuating rate-of-strain tensor component 32
206	REAL(wp) :: s13 !< fluctuating rate-of-strain tensor component 13
207	REAL(wp) :: s23 !< fluctuating rate-of-strain tensor component 23
208	REAL(wp) :: s33 !< fluctuating rate-of-strain tensor component 33
209	REAL(wp) :: sums_l_etot !<
210	REAL(wp) :: ust !<
211	REAL(wp) :: ust2 !<
212	REAL(wp) :: u2 !<
213	REAL(wp) :: vst !<
214	REAL(wp) :: vst2 !<
215	REAL(wp) :: v2 !<
216	REAL(wp) :: w2 !<
217
218	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
219	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
220
221
222	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
223
224
225	!
226	!-- To be on the safe side, check whether flow_statistics has already been called once after the
227	!-- current time step.
228	IF ( flow_statistics_called ) THEN
229
230	message_string = 'flow_statistics is called two times within one ' // 'timestep'
231	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
232
233	ENDIF
234
235	!
236	!-- Compute statistics for each (sub-)region
237	DO sr = 0, statistic_regions
238
239	!
240	!-- Initialize (local) summation array
241	sums_l = 0.0_wp
242	#ifdef _OPENACC
243	!$ACC KERNELS PRESENT(sums_l)
244	sums_l = 0.0_wp
245	!$ACC END KERNELS
246	#endif
247
248	!
249	!-- Store sums that have been computed in other subroutines in summation array
250	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
251	!-- WARNING: next line still has to be adjusted for OpenMP
252	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
253	heatflux_output_conversion ! heat flux from advec_s_bc
254	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
255	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
256
257	!
258	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-scale) vertical fluxes
259	!-- and velocity variances by using commonly-applied Reynolds-based methods
260	!-- ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) ) in combination with the 5th order advection scheme,
261	!-- pronounced artificial kinks could be observed in the vertical profiles near the surface.
262	!-- Please note: these kinks were not related to the model truth, i.e. these kinks are just
263	!-- related to an evaluation problem.
264	!-- In order avoid these kinks, vertical fluxes and horizontal as well vertical velocity
265	!-- variances are calculated directly within the advection routines, according to the numerical
266	!-- discretization, to evaluate the statistical quantities as they will appear within the
267	!-- prognostic equations.
268	!-- Copy the turbulent quantities, evaluated in the advection routines to the local array
269	!-- sums_l() for further computations.
270	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
271
272	!
273	!-- According to the Neumann bc for the horizontal velocity components, the corresponding
274	!-- fluxes has to satisfiy the same bc.
275	IF ( ocean_mode ) THEN
276	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
277	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
278	ENDIF
279
280	DO i = 0, threads_per_task-1
281	!
282	!-- Swap the turbulent quantities evaluated in advec_ws.
283	sums_l(:,13,i) = sums_wsus_ws_l(:,i) * momentumflux_output_conversion ! wu
284	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) * momentumflux_output_conversion ! wv
285	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
286	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
287	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
288	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
289	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + sums_ws2_ws_l(:,i) ) ! e*
290	ENDDO
291
292	ENDIF
293
294	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
295
296	DO i = 0, threads_per_task-1
297	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
298	* heatflux_output_conversion ! wpt
299	IF ( ocean_mode ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
300	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
301	* waterflux_output_conversion ! wq
302	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
303	ENDDO
304
305	ENDIF
306	!
307	!-- Horizontally averaged profiles of horizontal velocities and temperature.
308	!-- They must have been computed before, because they are already required for other horizontal
309	!-- averages.
310	tn = 0
311	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
312	!$ tn = omp_get_thread_num()
313	!$OMP DO
314	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag) &
315	!$ACC PRESENT(wall_flags_total_0, u, v, pt, rmask, sums_l)
316	DO i = nxl, nxr
317	DO j = nys, nyn
318	DO k = nzb, nzt+1
319	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
320	!$ACC ATOMIC
321	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) * flag
322	!$ACC ATOMIC
323	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) * flag
324	!$ACC ATOMIC
325	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) * flag
326	ENDDO
327	ENDDO
328	ENDDO
329	!$ACC UPDATE HOST(sums_l(:,1,tn), sums_l(:,2,tn), sums_l(:,4,tn))
330
331	!
332	!-- Horizontally averaged profile of salinity
333	IF ( ocean_mode ) THEN
334	!$OMP DO
335	DO i = nxl, nxr
336	DO j = nys, nyn
337	DO k = nzb, nzt+1
338	sums_l(k,23,tn) = sums_l(k,23,tn) + sa(k,j,i) &
339	* rmask(j,i,sr) &
340	* MERGE( 1.0_wp, 0.0_wp, &
341	BTEST( wall_flags_total_0(k,j,i), 22 ) )
342	ENDDO
343	ENDDO
344	ENDDO
345	ENDIF
346
347	!
348	!-- Horizontally averaged profiles of virtual potential temperature, total water content, water
349	!-- vapor mixing ratio and liquid water potential temperature
350	IF ( humidity ) THEN
351	!$OMP DO
352	DO i = nxl, nxr
353	DO j = nys, nyn
354	DO k = nzb, nzt+1
355	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
356	sums_l(k,44,tn) = sums_l(k,44,tn) + vpt(k,j,i) * rmask(j,i,sr) * flag
357	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr) * flag
358	ENDDO
359	ENDDO
360	ENDDO
361	IF ( bulk_cloud_model ) THEN
362	!$OMP DO
363	DO i = nxl, nxr
364	DO j = nys, nyn
365	DO k = nzb, nzt+1
366	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
367	sums_l(k,42,tn) = sums_l(k,42,tn) + &
368	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) * flag
369	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
370	pt(k,j,i) + lv_d_cp * d_exner(k) * ql(k,j,i) &
371	) * rmask(j,i,sr) * flag
372	ENDDO
373	ENDDO
374	ENDDO
375	ENDIF
376	ENDIF
377
378	!
379	!-- Horizontally averaged profiles of passive scalar
380	IF ( passive_scalar ) THEN
381	!$OMP DO
382	DO i = nxl, nxr
383	DO j = nys, nyn
384	DO k = nzb, nzt+1
385	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
386	* rmask(j,i,sr) &
387	* MERGE( 1.0_wp, 0.0_wp, &
388	BTEST( wall_flags_total_0(k,j,i), 22 ) )
389	ENDDO
390	ENDDO
391	ENDDO
392	ENDIF
393	!$OMP END PARALLEL
394	!
395	!-- Summation of thread sums
396	IF ( threads_per_task > 1 ) THEN
397	DO i = 1, threads_per_task-1
398	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
399	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
400	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
401	IF ( ocean_mode ) THEN
402	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
403	ENDIF
404	IF ( humidity ) THEN
405	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
406	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
407	IF ( bulk_cloud_model ) THEN
408	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
409	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
410	ENDIF
411	ENDIF
412	IF ( passive_scalar ) THEN
413	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
414	ENDIF
415	ENDDO
416	ENDIF
417
418	#if defined( __parallel )
419	!
420	!-- Compute total sum from local sums
421	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
422	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
423	ierr )
424	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
425	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
426	ierr )
427	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
428	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
429	ierr )
430	IF ( ocean_mode ) THEN
431	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
432	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
433	ierr )
434	ENDIF
435	IF ( humidity ) THEN
436	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
437	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
438	ierr )
439	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
440	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
441	ierr )
442	IF ( bulk_cloud_model ) THEN
443	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
444	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, MPI_REAL, MPI_SUM, &
445	comm2d, ierr )
446	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
447	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, MPI_REAL, MPI_SUM, &
448	comm2d, ierr )
449	ENDIF
450	ENDIF
451
452	IF ( passive_scalar ) THEN
453	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
454	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, MPI_REAL, MPI_SUM, &
455	comm2d, ierr )
456	ENDIF
457	#else
458	sums(:,1) = sums_l(:,1,0)
459	sums(:,2) = sums_l(:,2,0)
460	sums(:,4) = sums_l(:,4,0)
461	IF ( ocean_mode ) sums(:,23) = sums_l(:,23,0)
462	IF ( humidity ) THEN
463	sums(:,44) = sums_l(:,44,0)
464	sums(:,41) = sums_l(:,41,0)
465	IF ( bulk_cloud_model ) THEN
466	sums(:,42) = sums_l(:,42,0)
467	sums(:,43) = sums_l(:,43,0)
468	ENDIF
469	ENDIF
470	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
471	#endif
472
473	!
474	!-- Final values are obtained by division by the total number of grid points used for summation.
475	!-- After that store profiles.
476	sums(:,1) = sums(:,1) / ngp_2dh(sr)
477	sums(:,2) = sums(:,2) / ngp_2dh(sr)
478	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
479	hom(:,1,1,sr) = sums(:,1) ! u
480	hom(:,1,2,sr) = sums(:,2) ! v
481	hom(:,1,4,sr) = sums(:,4) ! pt
482	!$ACC UPDATE DEVICE(hom(:,1,1,sr), hom(:,1,2,sr), hom(:,1,4,sr))
483
484
485	!
486	!-- Salinity
487	IF ( ocean_mode ) THEN
488	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
489	hom(:,1,23,sr) = sums(:,23) ! sa
490	ENDIF
491
492	!
493	!-- Humidity and cloud parameters
494	IF ( humidity ) THEN
495	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
496	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
497	hom(:,1,44,sr) = sums(:,44) ! vpt
498	hom(:,1,41,sr) = sums(:,41) ! qv (q)
499	IF ( bulk_cloud_model ) THEN
500	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
501	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
502	hom(:,1,42,sr) = sums(:,42) ! qv
503	hom(:,1,43,sr) = sums(:,43) ! pt
504	ENDIF
505	ENDIF
506
507	!
508	!-- Passive scalar
509	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / ngp_2dh_s_inner(:,sr) ! s
510
511	!
512	!-- Horizontally averaged profiles of the remaining prognostic variables, variances, the total
513	!-- and the perturbation energy (single values in last column of sums_l) and some diagnostic
514	!-- quantities.
515	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly speaking the following
516	!-- ---- k-loop would have to be split up and rearranged according to the staggered grid.
517	!-- However, this implies no error since staggered velocity components are zero at the
518	!-- walls and inside buildings.
519	tn = 0
520	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, &
521	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
522	!$OMP w2, flag, m, ki, l )
523	!$ tn = omp_get_thread_num()
524	!$OMP DO
525	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, m) &
526	!$ACC PRIVATE(sums_l_etot, flag, du_dx, du_dy, du_dz) &
527	!$ACC PRIVATE(dv_dx, dv_dy, dv_dz, dw_dx, dw_dy, dw_dz) &
528	!$ACC PRIVATE(s11, s21, s31, s12, s22, s32, s13, s23, s33) &
529	!$ACC PRIVATE(dissipation, eta) &
530	!$ACC PRESENT(wall_flags_total_0, rmask, momentumflux_output_conversion) &
531	!$ACC PRESENT(hom(:,1,1:2,sr), hom(:,1,4,sr)) &
532	!$ACC PRESENT(e, u, v, w, km, kh, p, pt) &
533	!$ACC PRESENT(ddx, ddy, ddzu, ddzw) &
534	!$ACC PRESENT(surf_def_h(0), surf_lsm_h(0), surf_usm_h(0)) &
535	!$ACC PRESENT(sums_l)
536	DO i = nxl, nxr
537	DO j = nys, nyn
538	sums_l_etot = 0.0_wp
539	DO k = nzb, nzt+1
540	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
541	!
542	!-- Prognostic and diagnostic variables
543	!$ACC ATOMIC
544	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) * flag
545	!$ACC ATOMIC
546	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) * flag
547	!$ACC ATOMIC
548	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) * flag
549	!$ACC ATOMIC
550	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) * flag
551	!$ACC ATOMIC
552	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
553	/ momentumflux_output_conversion(k) ) * flag
554
555	!$ACC ATOMIC
556	sums_l(k,33,tn) = sums_l(k,33,tn) + &
557	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr) * flag
558	#ifndef _OPENACC
559	IF ( humidity ) THEN
560	sums_l(k,70,tn) = sums_l(k,70,tn) + &
561	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr) * flag
562	ENDIF
563	IF ( passive_scalar ) THEN
564	sums_l(k,116,tn) = sums_l(k,116,tn) + &
565	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr) * flag
566	ENDIF
567	#endif
568	!
569	!-- Higher moments
570	!-- (Computation of the skewness of w further below)
571	!$ACC ATOMIC
572	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) * flag
573
574	sums_l_etot = sums_l_etot + 0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + w(k,j,i)**2 ) &
575	* rmask(j,i,sr) * flag
576
577	!
578	!-- Computation of the Kolmogorov length scale. Calculation is based on gradients of the
579	!-- deviations from the horizontal mean.
580	!-- Kolmogorov scale at the boundaries (k=0/z=0m and k=nzt+1) is set to zero.
581	IF ( kolmogorov_length_scale .AND. k /= nzb .AND. k /= nzt+1) THEN
582	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
583
584	!
585	!-- Calculate components of the fluctuating rate-of-strain tensor
586	!-- (0.5*(del u'_i/del x_j + del u'_j/del x_i)) defined in the center of each grid
587	!-- box.
588	du_dx = ( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
589	( u(k,j,i) - hom(k,1,1,sr) ) ) * ddx
590	du_dy = 0.25_wp * ddy * &
591	( ( u(k,j+1,i) - hom(k,1,1,sr) ) - &
592	( u(k,j-1,i) - hom(k,1,1,sr) ) + &
593	( u(k,j+1,i+1) - hom(k,1,1,sr) ) - &
594	( u(k,j-1,i+1) - hom(k,1,1,sr) ) )
595	du_dz = 0.25_wp * ( ( ( u(k+1,j,i) - hom(k+1,1,1,sr) ) - &
596	( u(k,j,i) - hom(k,1,1,sr) ) ) * &
597	ddzu(k+1) + &
598	( ( u(k,j,i) - hom(k,1,1,sr) ) - &
599	( u(k-1,j,i) - hom(k-1,1,1,sr) ) ) * &
600	ddzu(k) + &
601	( ( u(k+1,j,i+1) - hom(k+1,1,1,sr) ) - &
602	( u(k,j,i+1) - hom(k,1,1,sr) ) ) * &
603	ddzu(k+1) + &
604	( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
605	( u(k-1,j,i+1) - hom(k-1,1,1,sr) ) ) * &
606	ddzu(k) )
607
608	dv_dx = 0.25_wp * ddx * &
609	( ( v(k,j,i+1) - hom(k,1,2,sr) ) - &
610	( v(k,j,i-1) - hom(k,1,2,sr) ) + &
611	( v(k,j+1,i+1) - hom(k,1,2,sr) ) - &
612	( v(k,j+1,i-1) - hom(k,1,2,sr) ) )
613	dv_dy = ( ( v(k,j+1,i) - hom(k,1,2,sr) ) - ( v(k,j,i) - hom(k,1,2,sr) ) ) * ddy
614	dv_dz = 0.25_wp * ( ( ( v(k+1,j,i) - hom(k+1,1,2,sr) ) - &
615	( v(k,j,i) - hom(k,1,2,sr) ) ) * &
616	ddzu(k+1) + &
617	( ( v(k,j,i) - hom(k,1,2,sr) ) - &
618	( v(k-1,j,i) - hom(k-1,1,2,sr) ) ) * &
619	ddzu(k) + &
620	( ( v(k+1,j+1,i) - hom(k+1,1,2,sr) ) - &
621	( v(k,j+1,i) - hom(k,1,2,sr) ) ) * &
622	ddzu(k+1) + &
623	( ( v(k,j+1,i) - hom(k,1,2,sr) ) - &
624	( v(k-1,j+1,i) - hom(k-1,1,2,sr) ) ) * &
625	ddzu(k) )
626
627	dw_dx = 0.25_wp * ddx * ( w(k,j,i+1) - w(k,j,i-1) + w(k-1,j,i+1) - w(k-1,j,i-1) )
628	dw_dy = 0.25_wp * ddy * ( w(k,j+1,i) - w(k,j-1,i) + w(k-1,j+1,i) - w(k-1,j-1,i) )
629	dw_dz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
630
631	s11 = 0.5_wp * ( du_dx + du_dx )
632	s21 = 0.5_wp * ( dv_dx + du_dy )
633	s31 = 0.5_wp * ( dw_dx + du_dz )
634
635	s12 = s21
636	s22 = 0.5 * ( dv_dy + dv_dy )
637	s32 = 0.5 * ( dw_dy + dv_dz )
638
639	s13 = s31
640	s23 = s32
641	s33 = 0.5_wp * ( dw_dz + dw_dz )
642
643	!-- Calculate 3D instantaneous energy dissipation rate following Pope (2000):
644	!-- Turbulent flows, p.259. It is defined in the center of each grid volume.
645	dissipation = 2.0_wp * km(k,j,i) * &
646	( s11s11 + s21s21 + s31*s31 + &
647	s12s12 + s22s22 + s32*s32 + &
648	s13s13 + s23s23 + s33*s33 )
649	eta = ( km(k,j,i)3.0_wp / ( dissipation+1.0E-12 ) )(1.0_wp/4.0_wp)
650
651	!$ACC ATOMIC
652	sums_l(k,121,tn) = sums_l(k,121,tn) + eta * rmask(j,i,sr) * flag
653
654
655	ENDIF !Kolmogorov length scale
656
657	ENDDO !k-loop
658	!
659	!-- Total and perturbation energy for the total domain (being collected in the last column
660	!-- of sums_l). Summation of these quantities is seperated from the previous loop in order
661	!-- to allow vectorization of that loop.
662	!$ACC ATOMIC
663	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
664	!
665	!-- 2D-arrays (being collected in the last column of sums_l)
666	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
667	m = surf_def_h(0)%start_index(j,i)
668	!$ACC ATOMIC
669	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
670	surf_def_h(0)%us(m) * rmask(j,i,sr)
671	!$ACC ATOMIC
672	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
673	surf_def_h(0)%usws(m) * rmask(j,i,sr)
674	!$ACC ATOMIC
675	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
676	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
677	!$ACC ATOMIC
678	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
679	surf_def_h(0)%ts(m) * rmask(j,i,sr)
680	#ifndef _OPENACC
681	IF ( humidity ) THEN
682	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
683	surf_def_h(0)%qs(m) * rmask(j,i,sr)
684	ENDIF
685	IF ( passive_scalar ) THEN
686	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
687	surf_def_h(0)%ss(m) * rmask(j,i,sr)
688	ENDIF
689	#endif
690	!
691	!-- Summation of surface temperature.
692	!$ACC ATOMIC
693	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
694	surf_def_h(0)%pt_surface(m) * rmask(j,i,sr)
695	ENDIF
696	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
697	m = surf_lsm_h(0)%start_index(j,i)
698	!$ACC ATOMIC
699	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
700	surf_lsm_h(0)%us(m) * rmask(j,i,sr)
701	!$ACC ATOMIC
702	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
703	surf_lsm_h(0)%usws(m) * rmask(j,i,sr)
704	!$ACC ATOMIC
705	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
706	surf_lsm_h(0)%vsws(m) * rmask(j,i,sr)
707	!$ACC ATOMIC
708	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
709	surf_lsm_h(0)%ts(m) * rmask(j,i,sr)
710	#ifndef _OPENACC
711	IF ( humidity ) THEN
712	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
713	surf_lsm_h(0)%qs(m) * rmask(j,i,sr)
714	ENDIF
715	IF ( passive_scalar ) THEN
716	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
717	surf_lsm_h(0)%ss(m) * rmask(j,i,sr)
718	ENDIF
719	#endif
720	!
721	!-- Summation of surface temperature.
722	!$ACC ATOMIC
723	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
724	surf_lsm_h(0)%pt_surface(m) * rmask(j,i,sr)
725	ENDIF
726	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
727	m = surf_usm_h(0)%start_index(j,i)
728	!$ACC ATOMIC
729	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
730	surf_usm_h(0)%us(m) * rmask(j,i,sr)
731	!$ACC ATOMIC
732	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
733	surf_usm_h(0)%usws(m) * rmask(j,i,sr)
734	!$ACC ATOMIC
735	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
736	surf_usm_h(0)%vsws(m) * rmask(j,i,sr)
737	!$ACC ATOMIC
738	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
739	surf_usm_h(0)%ts(m) * rmask(j,i,sr)
740	#ifndef _OPENACC
741	IF ( humidity ) THEN
742	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
743	surf_usm_h(0)%qs(m) * rmask(j,i,sr)
744	ENDIF
745	IF ( passive_scalar ) THEN
746	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
747	surf_usm_h(0)%ss(m) * rmask(j,i,sr)
748	ENDIF
749	#endif
750	!
751	!-- Summation of surface temperature.
752	!$ACC ATOMIC
753	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
754	surf_usm_h(0)%pt_surface(m) * rmask(j,i,sr)
755	ENDIF
756	ENDDO !j-loop
757	ENDDO !i-loop
758	!$ACC UPDATE &
759	!$ACC HOST(sums_l(:,3,tn), sums_l(:,8,tn), sums_l(:,9,tn)) &
760	!$ACC HOST(sums_l(:,10,tn), sums_l(:,40,tn), sums_l(:,33,tn)) &
761	!$ACC HOST(sums_l(:,38,tn), sums_l(:,121,tn)) &
762	!$ACC HOST(sums_l(nzb:nzb+4,pr_palm,tn), sums_l(nzb+14:nzb+14,pr_palm,tn))
763
764	!
765	!-- Computation of statistics when ws-scheme is not used. Else these
766	!-- quantities are evaluated in the advection routines.
767	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) THEN
768	!$OMP DO
769	DO i = nxl, nxr
770	DO j = nys, nyn
771	DO k = nzb, nzt+1
772	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
773
774	u2 = u(k,j,i)**2
775	v2 = v(k,j,i)**2
776	w2 = w(k,j,i)**2
777	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
778	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
779
780	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) * flag
781	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) * flag
782	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) * flag
783	!
784	!-- Perturbation energy
785	sums_l(k,34,tn) = sums_l(k,34,tn) + &
786	0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * flag
787	ENDDO
788	ENDDO
789	ENDDO
790	ENDIF
791	!
792	!-- Computaion of domain-averaged perturbation energy. Please note, to prevent that perturbation
793	!-- energy is larger (even if only slightly) than the total kinetic energy, calculation is based
794	!-- on deviations from the horizontal mean, instead of spatial descretization of the advection
795	!-- term.
796	!$OMP DO
797	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag, w2, ust2, vst2) &
798	!$ACC PRESENT(wall_flags_total_0, u, v, w, rmask, hom(:,1,1:2,sr)) &
799	!$ACC PRESENT(sums_l)
800	DO i = nxl, nxr
801	DO j = nys, nyn
802	DO k = nzb, nzt+1
803	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
804
805	w2 = w(k,j,i)**2
806	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
807	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
808	w2 = w(k,j,i)**2
809
810	!$ACC ATOMIC
811	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
812	+ 0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * flag
813
814	ENDDO
815	ENDDO
816	ENDDO
817	!$ACC UPDATE HOST(sums_l(nzb+5:nzb+5,pr_palm,tn))
818
819	!
820	!-- Horizontally averaged profiles of the vertical fluxes
821	!$OMP DO
822	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) &
823	!$ACC PRIVATE(ki, flag, ust, vst, pts) &
824	!$ACC PRESENT(kh, km, u, v, w, pt) &
825	!$ACC PRESENT(wall_flags_total_0, rmask, ddzu, rho_air_zw, hom(:,1,1:4,sr)) &
826	!$ACC PRESENT(heatflux_output_conversion, momentumflux_output_conversion) &
827	!$ACC PRESENT(surf_def_h(0:2), surf_lsm_h(0:1), surf_usm_h(0:1)) &
828	!$ACC PRESENT(sums_l)
829	DO i = nxl, nxr
830	DO j = nys, nyn
831	!
832	!-- Subgridscale fluxes (without Prandtl layer from k=nzb, oterwise from k=nzb+1)
833	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although strictly speaking the
834	!-- ---- following k-loop would have to be split up according to the staggered grid.
835	!-- However, this implies no error since staggered velocity components are zero at
836	!-- the walls and inside buildings.
837	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes, which are added
838	!-- further below.
839	DO k = nzb, nzt
840	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
841	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
842	!
843	!-- Momentum flux w"u"
844	!$ACC ATOMIC
845	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
846	km(k,j,i) + km(k+1,j,i) + km(k,j,i-1) + km(k+1,j,i-1) &
847	) * ( &
848	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
849	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
850	) * rmask(j,i,sr) &
851	* rho_air_zw(k) &
852	* momentumflux_output_conversion(k) &
853	* flag
854	!
855	!-- Momentum flux w"v"
856	!$ACC ATOMIC
857	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
858	km(k,j,i) + km(k+1,j,i) + km(k,j-1,i) + km(k+1,j-1,i) &
859	) * ( &
860	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
861	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
862	) * rmask(j,i,sr) &
863	* rho_air_zw(k) &
864	* momentumflux_output_conversion(k) &
865	* flag
866	!
867	!-- Heat flux w"pt"
868	!$ACC ATOMIC
869	sums_l(k,16,tn) = sums_l(k,16,tn) &
870	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
871	* ( pt(k+1,j,i) - pt(k,j,i) ) &
872	* rho_air_zw(k) &
873	* heatflux_output_conversion(k) &
874	* ddzu(k+1) * rmask(j,i,sr) &
875	* flag
876
877	!
878	!-- Salinity flux w"sa"
879	#ifndef _OPENACC
880	IF ( ocean_mode ) THEN
881	sums_l(k,65,tn) = sums_l(k,65,tn) &
882	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
883	* ( sa(k+1,j,i) - sa(k,j,i) ) &
884	* ddzu(k+1) * rmask(j,i,sr) &
885	* flag
886	ENDIF
887
888	!
889	!-- Buoyancy flux, water flux (humidity flux) w"q"
890	IF ( humidity ) THEN
891	sums_l(k,45,tn) = sums_l(k,45,tn) &
892	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
893	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
894	* rho_air_zw(k) &
895	* heatflux_output_conversion(k) &
896	* ddzu(k+1) * rmask(j,i,sr) * flag
897	sums_l(k,48,tn) = sums_l(k,48,tn) &
898	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
899	* ( q(k+1,j,i) - q(k,j,i) ) &
900	* rho_air_zw(k) &
901	* waterflux_output_conversion(k) &
902	* ddzu(k+1) * rmask(j,i,sr) * flag
903
904	IF ( bulk_cloud_model ) THEN
905	sums_l(k,51,tn) = sums_l(k,51,tn) &
906	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
907	* ( ( q(k+1,j,i) - ql(k+1,j,i) ) &
908	- ( q(k,j,i) - ql(k,j,i) ) ) &
909	* rho_air_zw(k) &
910	* waterflux_output_conversion(k) &
911	* ddzu(k+1) * rmask(j,i,sr) * flag
912	ENDIF
913	ENDIF
914
915	!
916	!-- Passive scalar flux
917	IF ( passive_scalar ) THEN
918	sums_l(k,117,tn) = sums_l(k,117,tn) &
919	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
920	* ( s(k+1,j,i) - s(k,j,i) ) &
921	* ddzu(k+1) * rmask(j,i,sr) &
922	* flag
923	ENDIF
924	#endif
925
926	ENDDO
927
928	!
929	!-- Subgridscale fluxes in the Prandtl layer
930	IF ( use_surface_fluxes ) THEN
931	DO l = 0, 1
932	! The original code using MERGE doesn't work with the PGI
933	! compiler when running on the GPU.
934	! This is submitted as a compiler Bug in PGI ticket TPR#26718
935	! ki = MERGE( -1, 0, l == 0 )
936	ki = -1 + l
937	IF ( surf_def_h(l)%ns >= 1 ) THEN
938	DO m = surf_def_h(l)%start_index(j,i), &
939	surf_def_h(l)%end_index(j,i)
940	k = surf_def_h(l)%k(m)
941
942	!$ACC ATOMIC
943	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
944	momentumflux_output_conversion(k+ki) * &
945	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
946	!$ACC ATOMIC
947	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
948	momentumflux_output_conversion(k+ki) * &
949	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
950	!$ACC ATOMIC
951	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
952	heatflux_output_conversion(k+ki) * &
953	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
954	#if 0
955	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
956	0.0_wp * rmask(j,i,sr) ! u"pt"
957	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
958	0.0_wp * rmask(j,i,sr) ! v"pt"
959	#endif
960	#ifndef _OPENACC
961	IF ( ocean_mode ) THEN
962	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
963	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
964	ENDIF
965	IF ( humidity ) THEN
966	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
967	waterflux_output_conversion(k+ki) * &
968	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
969	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
970	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
971	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
972	surf_def_h(l)%qsws(m) ) &
973	* heatflux_output_conversion(k+ki)
974	IF ( cloud_droplets ) THEN
975	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
976	( 1.0_wp + 0.61_wp * q(k+ki,j,i) - &
977	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
978	0.61_wp * pt(k+ki,j,i) &
979	* surf_def_h(l)%qsws(m) ) &
980	* heatflux_output_conversion(k+ki)
981	ENDIF
982	IF ( bulk_cloud_model ) THEN
983	!
984	!-- Formula does not work if ql(k+ki) /= 0.0
985	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
986	waterflux_output_conversion(k+ki) * &
987	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
988	ENDIF
989	ENDIF
990	IF ( passive_scalar ) THEN
991	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
992	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
993	ENDIF
994	#endif
995
996	ENDDO
997
998	ENDIF
999	IF ( surf_lsm_h(l)%end_index(j,i) >= surf_lsm_h(l)%start_index(j,i) ) THEN
1000	m = surf_lsm_h(l)%start_index(j,i)
1001	!$ACC ATOMIC
1002	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1003	momentumflux_output_conversion(nzb) * &
1004	surf_lsm_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
1005	!$ACC ATOMIC
1006	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1007	momentumflux_output_conversion(nzb) * &
1008	surf_lsm_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
1009	!$ACC ATOMIC
1010	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1011	heatflux_output_conversion(nzb) * &
1012	surf_lsm_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1013	#if 0
1014	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1015	0.0_wp * rmask(j,i,sr) ! u"pt"
1016	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1017	0.0_wp * rmask(j,i,sr) ! v"pt"
1018	#endif
1019	#ifndef _OPENACC
1020	IF ( ocean_mode ) THEN
1021	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1022	surf_lsm_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1023	ENDIF
1024	IF ( humidity ) THEN
1025	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1026	waterflux_output_conversion(nzb) * &
1027	surf_lsm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1028	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1029	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * surf_lsm_h(l)%shf(m) + &
1030	0.61_wp * pt(nzb,j,i) * surf_lsm_h(l)%qsws(m) ) &
1031	* heatflux_output_conversion(nzb)
1032	IF ( cloud_droplets ) THEN
1033	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1034	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1035	ql(nzb,j,i) ) * surf_lsm_h(l)%shf(m) + &
1036	0.61_wp * pt(nzb,j,i) * surf_lsm_h(l)%qsws(m) ) &
1037	* heatflux_output_conversion(nzb)
1038	ENDIF
1039	IF ( bulk_cloud_model ) THEN
1040	!
1041	!-- Formula does not work if ql(nzb) /= 0.0
1042	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1043	waterflux_output_conversion(nzb) * &
1044	surf_lsm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1045	ENDIF
1046	ENDIF
1047	IF ( passive_scalar ) THEN
1048	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1049	surf_lsm_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1050	ENDIF
1051	#endif
1052
1053	ENDIF
1054	IF ( surf_usm_h(l)%end_index(j,i) >= surf_usm_h(l)%start_index(j,i) ) THEN
1055	m = surf_usm_h(l)%start_index(j,i)
1056	!$ACC ATOMIC
1057	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1058	momentumflux_output_conversion(nzb) * &
1059	surf_usm_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
1060	!$ACC ATOMIC
1061	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1062	momentumflux_output_conversion(nzb) * &
1063	surf_usm_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
1064	!$ACC ATOMIC
1065	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1066	heatflux_output_conversion(nzb) * &
1067	surf_usm_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1068	#if 0
1069	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + 0.0_wp * rmask(j,i,sr) ! u"pt"
1070	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + 0.0_wp * rmask(j,i,sr) ! v"pt"
1071	#endif
1072	#ifndef _OPENACC
1073	IF ( ocean_mode ) THEN
1074	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1075	surf_usm_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1076	ENDIF
1077	IF ( humidity ) THEN
1078	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1079	waterflux_output_conversion(nzb) * &
1080	surf_usm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1081	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1082	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1083	surf_usm_h(l)%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1084	surf_usm_h(l)%qsws(m) ) &
1085	* heatflux_output_conversion(nzb)
1086	IF ( cloud_droplets ) THEN
1087	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1088	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1089	ql(nzb,j,i) ) * surf_usm_h(l)%shf(m) + &
1090	0.61_wp * pt(nzb,j,i) * surf_usm_h(l)%qsws(m) ) &
1091	* heatflux_output_conversion(nzb)
1092	ENDIF
1093	IF ( bulk_cloud_model ) THEN
1094	!
1095	!-- Formula does not work if ql(nzb) /= 0.0
1096	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1097	waterflux_output_conversion(nzb) * &
1098	surf_usm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1099	ENDIF
1100	ENDIF
1101	IF ( passive_scalar ) THEN
1102	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1103	surf_usm_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1104	ENDIF
1105	#endif
1106
1107	ENDIF
1108	ENDDO
1109	ENDIF
1110
1111	#ifndef _OPENACC
1112	IF ( .NOT. neutral ) THEN
1113	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1114	m = surf_def_h(0)%start_index(j,i)
1115	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1116	ENDIF
1117	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1118	m = surf_lsm_h(0)%start_index(j,i)
1119	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_lsm_h(0)%ol(m) * rmask(j,i,sr) ! L
1120	ENDIF
1121	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1122	m = surf_usm_h(0)%start_index(j,i)
1123	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_usm_h(0)%ol(m) * rmask(j,i,sr) ! L
1124	ENDIF
1125	ENDIF
1126
1127	IF ( radiation ) THEN
1128	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1129	m = surf_def_h(0)%start_index(j,i)
1130	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1131	surf_def_h(0)%rad_net(m) * rmask(j,i,sr)
1132	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1133	surf_def_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1134	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1135	surf_def_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1136	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1137	surf_def_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1138	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1139	surf_def_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1140	ENDIF
1141	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1142	m = surf_lsm_h(0)%start_index(j,i)
1143	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1144	surf_lsm_h(0)%rad_net(m) * rmask(j,i,sr)
1145	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1146	surf_lsm_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1147	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1148	surf_lsm_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1149	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1150	surf_lsm_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1151	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1152	surf_lsm_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1153	ENDIF
1154	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1155	m = surf_usm_h(0)%start_index(j,i)
1156	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1157	surf_usm_h(0)%rad_net(m) * rmask(j,i,sr)
1158	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1159	surf_usm_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1160	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1161	surf_usm_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1162	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1163	surf_usm_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1164	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1165	surf_usm_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1166	ENDIF
1167
1168	#if defined ( __rrtmg )
1169	IF ( radiation_scheme == 'rrtmg' ) THEN
1170
1171	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1172	m = surf_def_h(0)%start_index(j,i)
1173	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1174	surf_def_h(0)%rrtm_aldif(m,0) * rmask(j,i,sr)
1175	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1176	surf_def_h(0)%rrtm_aldir(m,0) * rmask(j,i,sr)
1177	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1178	surf_def_h(0)%rrtm_asdif(m,0) * rmask(j,i,sr)
1179	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1180	surf_def_h(0)%rrtm_asdir(m,0) * rmask(j,i,sr)
1181	ENDIF
1182	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1183	m = surf_lsm_h(0)%start_index(j,i)
1184	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1185	SUM( surf_lsm_h(0)%frac(m,:) * &
1186	surf_lsm_h(0)%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1187	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1188	SUM( surf_lsm_h(0)%frac(m,:) * &
1189	surf_lsm_h(0)%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1190	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1191	SUM( surf_lsm_h(0)%frac(m,:) * &
1192	surf_lsm_h(0)%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1193	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1194	SUM( surf_lsm_h(0)%frac(m,:) * &
1195	surf_lsm_h(0)%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1196	ENDIF
1197	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1198	m = surf_usm_h(0)%start_index(j,i)
1199	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1200	SUM( surf_usm_h(0)%frac(m,:) * &
1201	surf_usm_h(0)%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1202	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1203	SUM( surf_usm_h(0)%frac(m,:) * &
1204	surf_usm_h(0)%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1205	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1206	SUM( surf_usm_h(0)%frac(m,:) * &
1207	surf_usm_h(0)%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1208	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1209	SUM( surf_usm_h(0)%frac(m,:) * &
1210	surf_usm_h(0)%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1211	ENDIF
1212
1213	ENDIF
1214	#endif
1215	ENDIF
1216	#endif
1217	!
1218	!-- Subgridscale fluxes at the top surface
1219	IF ( use_top_fluxes ) THEN
1220	m = surf_def_h(2)%start_index(j,i)
1221	!$ACC ATOMIC
1222	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
1223	momentumflux_output_conversion(nzt) * &
1224	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1225	!$ACC ATOMIC
1226	sums_l(nzt+1,12,tn) = sums_l(nzt+1,12,tn) + &
1227	momentumflux_output_conversion(nzt+1) * &
1228	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1229	!$ACC ATOMIC
1230	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
1231	momentumflux_output_conversion(nzt) * &
1232	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1233	!$ACC ATOMIC
1234	sums_l(nzt+1,14,tn) = sums_l(nzt+1,14,tn) + &
1235	momentumflux_output_conversion(nzt+1) * &
1236	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1237	!$ACC ATOMIC
1238	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
1239	heatflux_output_conversion(nzt) * &
1240	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1241	!$ACC ATOMIC
1242	sums_l(nzt+1,16,tn) = sums_l(nzt+1,16,tn) + &
1243	heatflux_output_conversion(nzt+1) * &
1244	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1245	#if 0
1246	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1247	0.0_wp * rmask(j,i,sr) ! u"pt"
1248	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1249	0.0_wp * rmask(j,i,sr) ! v"pt"
1250	#endif
1251	#ifndef _OPENACC
1252	IF ( ocean_mode ) THEN
1253	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1254	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1255	ENDIF
1256	IF ( humidity ) THEN
1257	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1258	waterflux_output_conversion(nzt) * &
1259	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1260	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1261	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
1262	surf_def_h(2)%shf(m) + &
1263	0.61_wp * pt(nzt,j,i) * &
1264	surf_def_h(2)%qsws(m) ) &
1265	* heatflux_output_conversion(nzt)
1266	IF ( cloud_droplets ) THEN
1267	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1268	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1269	ql(nzt,j,i) ) * &
1270	surf_def_h(2)%shf(m) + &
1271	0.61_wp * pt(nzt,j,i) * &
1272	surf_def_h(2)%qsws(m) ) &
1273	* heatflux_output_conversion(nzt)
1274	ENDIF
1275	IF ( bulk_cloud_model ) THEN
1276	!
1277	!-- Formula does not work if ql(nzb) /= 0.0
1278	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1279	waterflux_output_conversion(nzt) * &
1280	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1281	ENDIF
1282	ENDIF
1283	IF ( passive_scalar ) THEN
1284	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1285	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1286	ENDIF
1287	#endif
1288	ENDIF
1289
1290	!
1291	!-- Resolved fluxes (can be computed for all horizontal points)
1292	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly speaking the
1293	!-- ---- following k-loop would have to be split up and rearranged according to the
1294	!-- staggered grid.
1295	DO k = nzb, nzt
1296	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
1297	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1298	u(k+1,j,i) - hom(k+1,1,1,sr) )
1299	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1300	v(k+1,j,i) - hom(k+1,1,2,sr) )
1301	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1302	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1303	!
1304	!-- Higher moments
1305	!$ACC ATOMIC
1306	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 rmask(j,i,sr) * flag
1307	!$ACC ATOMIC
1308	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * rmask(j,i,sr) * flag
1309
1310	!
1311	!-- Salinity flux and density (density does not belong to here, but so far there is no
1312	!-- other suitable place to calculate)
1313	#ifndef _OPENACC
1314	IF ( ocean_mode ) THEN
1315	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1316	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1317	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1318	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1319	rmask(j,i,sr) * flag
1320	ENDIF
1321	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * rmask(j,i,sr) * flag
1322	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * rmask(j,i,sr) * flag
1323	ENDIF
1324
1325	!
1326	!-- Buoyancy flux, water flux, humidity flux, liquid water content, rain drop
1327	!-- concentration and rain water content
1328	IF ( humidity ) THEN
1329	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
1330	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1331	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1332	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1333	rho_air_zw(k) * &
1334	heatflux_output_conversion(k) * &
1335	rmask(j,i,sr) * flag
1336	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) * flag
1337
1338	IF ( .NOT. cloud_droplets ) THEN
1339	pts = 0.5_wp * &
1340	( ( q(k,j,i) - ql(k,j,i) ) - &
1341	hom(k,1,42,sr) + &
1342	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1343	hom(k+1,1,42,sr) )
1344	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1345	rho_air_zw(k) * &
1346	waterflux_output_conversion(k) * &
1347	rmask(j,i,sr) * flag
1348	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * rmask(j,i,sr) * flag
1349	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * rmask(j,i,sr) * flag
1350	IF ( microphysics_morrison ) THEN
1351	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * rmask(j,i,sr) * flag
1352	ENDIF
1353	IF ( microphysics_ice_phase ) THEN
1354	sums_l(k,124,tn) = sums_l(k,124,tn) + ni(k,j,i) * rmask(j,i,sr) * flag
1355	sums_l(k,125,tn) = sums_l(k,125,tn) + qi(k,j,i) * rmask(j,i,sr) * flag
1356	ENDIF
1357
1358	IF ( microphysics_seifert ) THEN
1359	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * rmask(j,i,sr) * flag
1360	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * rmask(j,i,sr) * flag
1361	ENDIF
1362	ENDIF
1363
1364	ELSE
1365	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1366	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1367	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1368	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1369	rho_air_zw(k) * &
1370	heatflux_output_conversion(k) * &
1371	rmask(j,i,sr) * flag
1372	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1373	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1374	hom(k,1,41,sr) ) * &
1375	sums_l(k,17,tn) + &
1376	0.61_wp * hom(k,1,4,sr) * &
1377	sums_l(k,49,tn) &
1378	) * heatflux_output_conversion(k) * flag
1379	END IF
1380	END IF
1381	ENDIF
1382	!
1383	!-- Passive scalar flux
1384	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca .OR. sr /= 0 ) ) THEN
1385	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1386	s(k+1,j,i) - hom(k+1,1,115,sr) )
1387	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * rmask(j,i,sr) * flag
1388	ENDIF
1389	#endif
1390
1391	!
1392	!-- Energy flux we
1393	!-- has to be adjusted
1394	!$ACC ATOMIC
1395	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1396	( ust2 + vst2 + w(k,j,i)**2 ) &
1397	* rho_air_zw(k) &
1398	* momentumflux_output_conversion(k) &
1399	* rmask(j,i,sr) * flag
1400	ENDDO
1401	ENDDO
1402	ENDDO
1403	!$OMP END PARALLEL
1404
1405	!$ACC UPDATE &
1406	!$ACC HOST(sums_l(:,12,tn), sums_l(:,14,tn), sums_l(:,16,tn)) &
1407	!$ACC HOST(sums_l(:,35,tn), sums_l(:,36,tn), sums_l(:,37,tn))
1408	!
1409	!-- Treat land-surface quantities according to new wall model structure.
1410	IF ( land_surface ) THEN
1411	tn = 0
1412	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1413	!$ tn = omp_get_thread_num()
1414	!$OMP DO
1415	DO m = 1, surf_lsm_h(0)%ns
1416	i = surf_lsm_h(0)%i(m)
1417	j = surf_lsm_h(0)%j(m)
1418
1419	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h(0)%ghf(m) * rmask(j,i,sr)
1420	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h(0)%qsws_liq(m) * rmask(j,i,sr)
1421	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h(0)%qsws_soil(m) * rmask(j,i,sr)
1422	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h(0)%qsws_veg(m) * rmask(j,i,sr)
1423	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h(0)%r_a(m) * rmask(j,i,sr)
1424	sums_l(nzb,98,tn) = sums_l(nzb,98,tn) + surf_lsm_h(0)%r_s(m) * rmask(j,i,sr)
1425	ENDDO
1426	!$OMP END PARALLEL
1427
1428	tn = 0
1429	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1430	!$ tn = omp_get_thread_num()
1431	!$OMP DO
1432	DO m = 1, surf_lsm_h(0)%ns
1433
1434	i = surf_lsm_h(0)%i(m)
1435	j = surf_lsm_h(0)%j(m)
1436	DO k = nzb_soil, nzt_soil
1437	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h(0)%var_2d(k,m) * rmask(j,i,sr)
1438	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h(0)%var_2d(k,m) * rmask(j,i,sr)
1439	ENDDO
1440	ENDDO
1441	!$OMP END PARALLEL
1442	ENDIF
1443	!
1444	!-- For speed optimization fluxes which have been computed in part directly inside the WS
1445	!-- advection routines are treated seperatly.
1446	!-- Momentum fluxes first:
1447
1448	tn = 0
1449	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
1450	!$ tn = omp_get_thread_num()
1451	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1452	!$OMP DO
1453	DO i = nxl, nxr
1454	DO j = nys, nyn
1455	DO k = nzb, nzt
1456	!
1457	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes, which are
1458	!-- added further below.
1459	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1460	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
1461
1462	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1463	u(k+1,j,i) - hom(k+1,1,1,sr) )
1464	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1465	v(k+1,j,i) - hom(k+1,1,2,sr) )
1466	!
1467	!-- Momentum flux wu
1468	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
1469	( w(k,j,i-1) + w(k,j,i) ) &
1470	* rho_air_zw(k) &
1471	* momentumflux_output_conversion(k) &
1472	* ust * rmask(j,i,sr) &
1473	* flag
1474	!
1475	!-- Momentum flux wv
1476	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * ( w(k,j-1,i) + w(k,j,i) ) &
1477	* rho_air_zw(k) &
1478	* momentumflux_output_conversion(k) &
1479	* vst * rmask(j,i,sr) &
1480	* flag
1481	ENDDO
1482	ENDDO
1483	ENDDO
1484
1485	ENDIF
1486	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1487	!$OMP DO
1488	DO i = nxl, nxr
1489	DO j = nys, nyn
1490	DO k = nzb, nzt
1491	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1492	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
1493	!
1494	!-- Vertical heat flux
1495	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1496	( pt(k,j,i) - hom(k,1,4,sr) + &
1497	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1498	* rho_air_zw(k) &
1499	* heatflux_output_conversion(k) &
1500	* w(k,j,i) * rmask(j,i,sr) * flag
1501	IF ( humidity ) THEN
1502	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1503	q(k+1,j,i) - hom(k+1,1,41,sr) )
1504	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1505	rho_air_zw(k) * &
1506	waterflux_output_conversion(k) * &
1507	rmask(j,i,sr) * flag
1508	ENDIF
1509	IF ( passive_scalar ) THEN
1510	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1511	s(k+1,j,i) - hom(k+1,1,115,sr) )
1512	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * rmask(j,i,sr) * flag
1513	ENDIF
1514	ENDDO
1515	ENDDO
1516	ENDDO
1517
1518	ENDIF
1519
1520	!
1521	!-- Density at top follows Neumann condition
1522	IF ( ocean_mode ) THEN
1523	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1524	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1525	ENDIF
1526
1527	!
1528	!-- Divergence of vertical flux of resolved scale energy and pressure fluctuations as well as
1529	!-- flux of pressure fluctuation itself (68).
1530	!-- First calculate the products, then the divergence.
1531	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1532	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) THEN
1533	sums_ll = 0.0_wp ! local array
1534
1535	!$OMP DO
1536	DO i = nxl, nxr
1537	DO j = nys, nyn
1538	DO k = nzb+1, nzt
1539	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1540
1541	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1542	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1543	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2 &
1544	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1545	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2 &
1546	+ w(k,j,i)*2 ) flag * rmask(j,i,sr)
1547
1548	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1549	* ( ( p(k,j,i) + p(k+1,j,i) ) &
1550	/ momentumflux_output_conversion(k) ) &
1551	* flag * rmask(j,i,sr)
1552
1553	ENDDO
1554	ENDDO
1555	ENDDO
1556	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1557	sums_ll(nzt+1,1) = 0.0_wp
1558	sums_ll(0,2) = 0.0_wp
1559	sums_ll(nzt+1,2) = 0.0_wp
1560
1561	DO k = nzb+1, nzt
1562	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1563	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1564	sums_l(k,68,tn) = sums_ll(k,2)
1565	ENDDO
1566	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1567	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1568	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1569
1570	ENDIF
1571
1572	!
1573	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1574	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) THEN
1575	!$OMP DO
1576	DO i = nxl, nxr
1577	DO j = nys, nyn
1578	DO k = nzb+1, nzt
1579
1580	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1581
1582	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1583	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1584	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1585	) * ddzw(k) &
1586	* flag * rmask(j,i,sr)
1587
1588	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1589	( km(k,j,i) + km(k+1,j,i) ) * &
1590	( e(k+1,j,i) - e(k,j,i) ) * ddzu(k+1) &
1591	) * flag * rmask(j,i,sr)
1592
1593	ENDDO
1594	ENDDO
1595	ENDDO
1596	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1597	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1598
1599	ENDIF
1600
1601	!
1602	!-- Horizontal heat fluxes (subgrid, resolved, total).
1603	!-- Do it only, if profiles shall be plotted.
1604	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1605
1606	!$OMP DO
1607	DO i = nxl, nxr
1608	DO j = nys, nyn
1609	DO k = nzb+1, nzt
1610	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1611	!
1612	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1613	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1614	( kh(k,j,i) + kh(k,j,i-1) ) &
1615	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1616	* rho_air_zw(k) &
1617	* heatflux_output_conversion(k) &
1618	* ddx * rmask(j,i,sr) * flag
1619	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1620	( kh(k,j,i) + kh(k,j-1,i) ) &
1621	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1622	* rho_air_zw(k) &
1623	* heatflux_output_conversion(k) &
1624	* ddy * rmask(j,i,sr) * flag
1625	!
1626	!-- Resolved horizontal heat fluxes upt, vpt
1627	sums_l(k,59,tn) = sums_l(k,59,tn) + ( u(k,j,i) - hom(k,1,1,sr) ) &
1628	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1629	pt(k,j,i) - hom(k,1,4,sr) ) &
1630	* heatflux_output_conversion(k) &
1631	* flag
1632	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1633	pt(k,j,i) - hom(k,1,4,sr) )
1634	sums_l(k,62,tn) = sums_l(k,62,tn) + ( v(k,j,i) - hom(k,1,2,sr) ) &
1635	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1636	pt(k,j,i) - hom(k,1,4,sr) ) &
1637	* heatflux_output_conversion(k) &
1638	* flag
1639	ENDDO
1640	ENDDO
1641	ENDDO
1642	!
1643	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1644	sums_l(nzb,58,tn) = 0.0_wp
1645	sums_l(nzb,59,tn) = 0.0_wp
1646	sums_l(nzb,60,tn) = 0.0_wp
1647	sums_l(nzb,61,tn) = 0.0_wp
1648	sums_l(nzb,62,tn) = 0.0_wp
1649	sums_l(nzb,63,tn) = 0.0_wp
1650
1651	ENDIF
1652	!$OMP END PARALLEL
1653
1654	!
1655	!-- Collect current large scale advection and subsidence tendencies for
1656	!-- data output
1657	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1658	!
1659	!-- Interpolation in time of LSF_DATA
1660	nt = 1
1661	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1662	nt = nt + 1
1663	ENDDO
1664	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1665	nt = nt - 1
1666	ENDIF
1667
1668	fac = ( simulated_time - dt_3d - time_vert(nt) ) / ( time_vert(nt+1)-time_vert(nt) )
1669
1670
1671	DO k = nzb, nzt
1672	sums_ls_l(k,0) = td_lsa_lpt(k,nt) + fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1673	sums_ls_l(k,1) = td_lsa_q(k,nt) + fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1674	ENDDO
1675
1676	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1677	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1678
1679	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1680
1681	DO k = nzb, nzt
1682	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * ( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1683	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * ( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1684	ENDDO
1685
1686	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1687	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1688
1689	ENDIF
1690
1691	ENDIF
1692
1693	tn = 0
1694	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1695	!$ tn = omp_get_thread_num()
1696	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1697	!$OMP DO
1698	DO i = nxl, nxr
1699	DO j = nys, nyn
1700	DO k = nzb+1, nzt+1
1701	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1702
1703	sums_l(k,100,tn) = sums_l(k,100,tn) + rad_lw_in(k,j,i) * rmask(j,i,sr) * flag
1704	sums_l(k,101,tn) = sums_l(k,101,tn) + rad_lw_out(k,j,i) * rmask(j,i,sr) * flag
1705	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_sw_in(k,j,i) * rmask(j,i,sr) * flag
1706	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_sw_out(k,j,i) * rmask(j,i,sr) * flag
1707	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_lw_cs_hr(k,j,i) * rmask(j,i,sr) * flag
1708	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_lw_hr(k,j,i) * rmask(j,i,sr) * flag
1709	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_sw_cs_hr(k,j,i) * rmask(j,i,sr) * flag
1710	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_sw_hr(k,j,i) * rmask(j,i,sr) * flag
1711	ENDDO
1712	ENDDO
1713	ENDDO
1714	ENDIF
1715
1716	!
1717	!-- Calculate the profiles for all other modules
1718	CALL module_interface_statistics( 'profiles', sr, tn, dots_max )
1719	!$OMP END PARALLEL
1720
1721	!
1722	!-- Summation of thread sums
1723	IF ( threads_per_task > 1 ) THEN
1724	DO i = 1, threads_per_task-1
1725	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1726	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1727	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1728	sums_l(:,45:pr_palm,i)
1729	IF ( max_pr_user > 0 ) THEN
1730	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1731	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1732	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1733	ENDIF
1734
1735	IF ( air_chemistry ) THEN
1736	IF ( max_pr_cs > 0 ) THEN
1737	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+ max_pr_cs,0) = &
1738	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,0) + &
1739	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,i)
1740
1741	ENDIF
1742	ENDIF
1743	IF ( salsa ) THEN
1744	IF ( max_pr_cs > 0 ) THEN
1745	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) = &
1746	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) + &
1747	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,i)
1748
1749	ENDIF
1750	ENDIF
1751	ENDDO
1752	ENDIF
1753
1754	#if defined( __parallel )
1755
1756	!
1757	!-- Compute total sum from local sums
1758	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1759	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, MPI_SUM, comm2d, ierr )
1760	IF ( large_scale_forcing ) THEN
1761	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, MPI_REAL, MPI_SUM, &
1762	comm2d, ierr )
1763	ENDIF
1764
1765	IF ( air_chemistry .AND. max_pr_cs > 0 ) THEN
1766	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1767	DO i = 1, max_pr_cs
1768	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+i,0), &
1769	sums(nzb,pr_palm+max_pr_user+i), &
1770	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1771	ENDDO
1772	ENDIF
1773
1774	IF ( salsa .AND. max_pr_salsa > 0 ) THEN
1775	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1776	DO i = 1, max_pr_salsa
1777	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+max_pr_cs+i,0), &
1778	sums(nzb,pr_palm+max_pr_user+max_pr_user+i), &
1779	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1780	ENDDO
1781	ENDIF
1782
1783	#else
1784	sums = sums_l(:,:,0)
1785	IF ( large_scale_forcing ) THEN
1786	sums(:,81:88) = sums_ls_l
1787	ENDIF
1788	#endif
1789
1790	!
1791	!-- Final values are obtained by division by the total number of grid points used for summation.
1792	!-- After that store profiles.
1793	!-- Check, if statistical regions do contain at least one grid point at the respective k-level,
1794	!-- otherwise division by zero will lead to undefined values, which may cause e.g. problems with
1795	!-- NetCDF output.
1796	!-- Profiles:
1797	DO k = nzb, nzt+1
1798	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1799	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1800	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1801	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1802	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1803	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1804	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1805
1806	IF ( land_surface .AND. surf_lsm_h(0)%ns_tot > 0 ) THEN
1807	sums(k,89:98) = sums(k,89:98) / surf_lsm_h(0)%ns_tot
1808	ENDIF
1809
1810	sums(k,99:112) = sums(k,99:112) / ngp_2dh(sr)
1811	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1812	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1813	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1814	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1815	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1816	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1817	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1818	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1819	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1820	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1821	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1822	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1823	sums(k,123:125) = sums(k,123:125) * ngp_2dh_s_inner(k,sr) / ngp_2dh(sr)
1824	ENDIF
1825	ENDDO
1826
1827	!-- u* and so on
1828	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose size is always
1829	!-- ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer above the topography, they are
1830	!-- divided by ngp_2dh(sr)
1831	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / ngp_2dh(sr)
1832	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / ngp_2dh(sr) ! qs
1833	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / ngp_2dh(sr) ! ss
1834	sums(nzb+14,pr_palm) = sums(nzb+14,pr_palm) / ngp_2dh(sr) ! surface temperature
1835
1836	!-- eges, e*
1837	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / ngp_3d(sr)
1838	!-- Old and new divergence
1839	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / ngp_3d_inner(sr)
1840
1841	!-- User-defined profiles
1842	IF ( max_pr_user > 0 ) THEN
1843	DO k = nzb, nzt+1
1844	sums(k,pr_palm+1:pr_palm+max_pr_user) = sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1845	ngp_2dh_s_inner(k,sr)
1846	ENDDO
1847	ENDIF
1848
1849	IF ( air_chemistry ) THEN
1850	IF ( max_pr_cs > 0 ) THEN
1851	DO k = nzb, nzt+1
1852	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) = &
1853	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) / &
1854	ngp_2dh_s_inner(k,sr)
1855	ENDDO
1856	ENDIF
1857	ENDIF
1858
1859	IF ( salsa ) THEN
1860	IF ( max_pr_salsa > 0 ) THEN
1861	DO k = nzb, nzt+1
1862	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) = &
1863	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) &
1864	/ ngp_2dh_s_inner(k,sr)
1865	ENDDO
1866	ENDIF
1867	ENDIF
1868
1869	!
1870	!-- Collect horizontal average in hom.
1871	!-- Compute deduced averages (e.g. total heat flux)
1872	hom(:,1,3,sr) = sums(:,3) ! w
1873	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1874	hom(:,1,9,sr) = sums(:,9) ! km
1875	hom(:,1,10,sr) = sums(:,10) ! kh
1876	hom(:,1,11,sr) = sums(:,11) ! l
1877	hom(:,1,12,sr) = sums(:,12) ! w"u"
1878	hom(:,1,13,sr) = sums(:,13) ! wu
1879	hom(:,1,14,sr) = sums(:,14) ! w"v"
1880	hom(:,1,15,sr) = sums(:,15) ! wv
1881	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1882	hom(:,1,17,sr) = sums(:,17) ! wpt
1883	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1884	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1885	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1886	hom(:,1,21,sr) = sums(:,21) ! wptBC
1887	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1888	! profile 24 is initial profile (sa)
1889	! profiles 25-29 left empty for initial
1890	! profiles
1891	hom(:,1,30,sr) = sums(:,30) ! u*2
1892	hom(:,1,31,sr) = sums(:,31) ! v*2
1893	hom(:,1,32,sr) = sums(:,32) ! w*2
1894	hom(:,1,33,sr) = sums(:,33) ! pt*2
1895	hom(:,1,34,sr) = sums(:,34) ! e*
1896	hom(:,1,35,sr) = sums(:,35) ! w2pt
1897	hom(:,1,36,sr) = sums(:,36) ! wpt2
1898	hom(:,1,37,sr) = sums(:,37) ! we
1899	hom(:,1,38,sr) = sums(:,38) ! w*3
1900	hom(:,1,39,sr) = sums(:,38) / ( ABS( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1901	hom(:,1,40,sr) = sums(:,40) ! p
1902	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1903	hom(:,1,46,sr) = sums(:,46) ! wvpt
1904	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1905	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1906	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1907	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1908	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1909	hom(:,1,52,sr) = sums(:,52) ! wqv
1910	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1911	hom(:,1,54,sr) = sums(:,54) ! ql
1912	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1913	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1914	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
1915	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1916	hom(:,1,59,sr) = sums(:,59) ! upt
1917	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1918	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1919	hom(:,1,62,sr) = sums(:,62) ! vpt
1920	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1921	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
1922	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1923	hom(:,1,66,sr) = sums(:,66) ! wsa
1924	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1925	hom(:,1,68,sr) = sums(:,68) ! wp
1926	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
1927	hom(:,1,70,sr) = sums(:,70) ! q*2
1928	hom(:,1,71,sr) = sums(:,71) ! prho
1929	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
1930	hom(:,1,123,sr) = sums(:,123) ! nc
1931	hom(:,1,124,sr) = sums(:,124) ! ni
1932	hom(:,1,125,sr) = sums(:,125) ! qi
1933	hom(:,1,73,sr) = sums(:,73) ! nr
1934	hom(:,1,74,sr) = sums(:,74) ! qr
1935	hom(:,1,75,sr) = sums(:,75) ! qc
1936	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1937	! 77 is initial density profile
1938	hom(:,1,78,sr) = ug ! ug
1939	hom(:,1,79,sr) = vg ! vg
1940	hom(:,1,80,sr) = w_subs ! w_subs
1941
1942	IF ( large_scale_forcing ) THEN
1943	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1944	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1945	IF ( use_subsidence_tendencies ) THEN
1946	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1947	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1948	ELSE
1949	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1950	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1951	ENDIF
1952	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1953	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1954	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1955	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1956	ENDIF
1957
1958	IF ( land_surface ) THEN
1959	hom(:,1,89,sr) = sums(:,89) ! t_soil
1960	! 90 is initial t_soil profile
1961	hom(:,1,91,sr) = sums(:,91) ! m_soil
1962	! 92 is initial m_soil profile
1963	hom(:,1,93,sr) = sums(:,93) ! ghf
1964	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
1965	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
1966	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
1967	hom(:,1,97,sr) = sums(:,97) ! r_a
1968	hom(:,1,98,sr) = sums(:,98) ! r_s
1969
1970	ENDIF
1971
1972	IF ( radiation ) THEN
1973	hom(:,1,99,sr) = sums(:,99) ! rad_net
1974	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
1975	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
1976	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
1977	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
1978
1979	IF ( radiation_scheme == 'rrtmg' ) THEN
1980	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
1981	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
1982	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
1983	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
1984
1985	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
1986	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
1987	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
1988	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
1989	ENDIF
1990	ENDIF
1991
1992	hom(:,1,112,sr) = sums(:,112) !: L
1993
1994	IF ( passive_scalar ) THEN
1995	hom(:,1,117,sr) = sums(:,117) ! w"s"
1996	hom(:,1,114,sr) = sums(:,114) ! ws
1997	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
1998	hom(:,1,116,sr) = sums(:,116) ! s*2
1999	ENDIF
2000
2001	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
2002	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
2003
2004	IF ( kolmogorov_length_scale ) THEN
2005	hom(:,1,121,sr) = sums(:,121) * 1E3_wp ! eta in mm
2006	ENDIF
2007
2008
2009	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
2010	! u, w'u', w'v', t (in last profile)
2011
2012	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
2013	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
2014	sums(:,pr_palm+1:pr_palm+max_pr_user)
2015	ENDIF
2016
2017	IF ( air_chemistry ) THEN
2018	IF ( max_pr_cs > 0 ) THEN ! chem_spcs profiles
2019	hom(:, 1, pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs, sr) = &
2020	sums(:, pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs)
2021	ENDIF
2022	ENDIF
2023
2024	IF ( salsa ) THEN
2025	IF ( max_pr_salsa > 0 ) THEN ! salsa profiles
2026	hom(:,1,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa, sr) = &
2027	sums(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa)
2028	ENDIF
2029	ENDIF
2030	!
2031	!-- Determine the boundary layer height using two different schemes.
2032	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the first relative
2033	!-- minimum (maximum) of the total heat flux.
2034	!-- The corresponding height is assumed as the boundary layer height, if it is less than 1.5
2035	!-- times the height where the heat flux becomes negative (positive) for the first time.
2036	!-- Attention: the resolved vertical sensible heat flux (hom(:,1,17,sr) = wpt) is not known at
2037	!-- the beginning because the calculation happens in advec_s_ws which is called after
2038	!-- flow_statistics. Therefore z_i is directly taken from restart data at the beginning of
2039	!-- restart runs.
2040	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .OR. &
2041	simulated_time_at_begin /= simulated_time ) THEN
2042
2043	z_i(1) = 0.0_wp
2044	first = .TRUE.
2045
2046	IF ( ocean_mode ) THEN
2047	DO k = nzt, nzb+1, -1
2048	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2049	first = .FALSE.
2050	height = zw(k)
2051	ENDIF
2052	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2053	IF ( zw(k) < 1.5_wp * height ) THEN
2054	z_i(1) = zw(k)
2055	ELSE
2056	z_i(1) = height
2057	ENDIF
2058	EXIT
2059	ENDIF
2060	ENDDO
2061	ELSE
2062	DO k = nzb, nzt-1
2063	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2064	first = .FALSE.
2065	height = zw(k)
2066	ENDIF
2067	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2068	IF ( zw(k) < 1.5_wp * height ) THEN
2069	z_i(1) = zw(k)
2070	ELSE
2071	z_i(1) = height
2072	ENDIF
2073	EXIT
2074	ENDIF
2075	ENDDO
2076	ENDIF
2077
2078	!
2079	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified by Uhlenbrock(2006).
2080	!-- The boundary layer height is the height with the maximal local temperature gradient:
2081	!-- starting from the second (the last but one) vertical gridpoint, the local gradient must be
2082	!-- at least 0.2K/100m and greater than the next four gradients.
2083	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2084	!-- ocean case!
2085	z_i(2) = 0.0_wp
2086	DO k = nzb+1, nzt+1
2087	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2088	ENDDO
2089	dptdz_threshold = 0.2_wp / 100.0_wp
2090
2091	IF ( ocean_mode ) THEN
2092	DO k = nzt+1, nzb+5, -1
2093	IF ( dptdz(k) > dptdz_threshold .AND. &
2094	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
2095	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2096	z_i(2) = zw(k-1)
2097	EXIT
2098	ENDIF
2099	ENDDO
2100	ELSE
2101	DO k = nzb+1, nzt-3
2102	IF ( dptdz(k) > dptdz_threshold .AND. &
2103	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
2104	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2105	z_i(2) = zw(k-1)
2106	EXIT
2107	ENDIF
2108	ENDDO
2109	ENDIF
2110
2111	ENDIF
2112
2113	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2114	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2115
2116	!
2117	!-- Determine vertical index which is nearest to the mean surface level height of the respective
2118	!-- statistic region
2119	DO k = nzb, nzt
2120	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
2121	k_surface_level = k
2122	EXIT
2123	ENDIF
2124	ENDDO
2125
2126	!
2127	!-- Computation of both the characteristic vertical velocity and the characteristic convective
2128	!-- boundary layer temperature.
2129	!-- The inversion height entering into the equation is defined with respect to the mean surface
2130	!-- level height of the respective statistic region.
2131	!-- The horizontal average at surface level index + 1 is input for the average temperature.
2132	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp ) THEN
2133	hom(nzb+8,1,pr_palm,sr) = &
2134	( g / hom(k_surface_level+1,1,4,sr) * &
2135	( hom(k_surface_level,1,18,sr) / &
2136	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
2137	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
2138	ELSE
2139	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
2140	ENDIF
2141
2142	!
2143	!-- Collect the time series quantities. Please note, timeseries quantities which are collected
2144	!-- from horizontally averaged profiles, e.g. wpt or pt(zp), are treated specially. In case of
2145	!-- elevated model surfaces, index nzb+1 might be within topography and data will be zero.
2146	!-- Therefore, take value for the first atmosphere index, which is topo_min_level+1.
2147	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2148	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2149	ts_value(3,sr) = dt_3d
2150	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2151	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2152	ts_value(6,sr) = u_max
2153	ts_value(7,sr) = v_max
2154	ts_value(8,sr) = w_max
2155	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2156	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2157	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2158	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2159	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2160	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2161	ts_value(15,sr) = hom(topo_min_level+1,1,16,sr) ! w'pt' at k=1
2162	ts_value(16,sr) = hom(topo_min_level+1,1,18,sr) ! wpt at k=1
2163	ts_value(17,sr) = hom(nzb+14,1,pr_palm,sr) ! pt(0)
2164	ts_value(18,sr) = hom(topo_min_level+1,1,4,sr) ! pt(zp)
2165	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2166	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2167	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2168
2169	IF ( .NOT. neutral ) THEN
2170	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
2171	ELSE
2172	ts_value(22,sr) = 1.0E10_wp
2173	ENDIF
2174
2175	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2176
2177	IF ( passive_scalar ) THEN
2178	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
2179	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
2180	ENDIF
2181
2182	!
2183	!-- Collect land surface model timeseries
2184	IF ( land_surface ) THEN
2185	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2186	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2187	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2188	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2189	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2190	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2191	ENDIF
2192	!
2193	!-- Collect radiation model timeseries
2194	IF ( radiation ) THEN
2195	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2196	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2197	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2198	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2199	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2200
2201	IF ( radiation_scheme == 'rrtmg' ) THEN
2202	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2203	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2204	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2205	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2206	ENDIF
2207
2208	ENDIF
2209
2210	!
2211	!-- Calculate additional statistics provided by other modules
2212	CALL module_interface_statistics( 'time_series', sr, 0, dots_max )
2213
2214	ENDDO ! loop of the subregions
2215
2216	!
2217	!-- If required, sum up horizontal averages for subsequent time averaging.
2218	!-- Do not sum, if flow statistics is called before the first initial time step.
2219	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2220	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2221	hom_sum = hom_sum + hom(:,1,:,:)
2222	average_count_pr = average_count_pr + 1
2223	do_sum = .FALSE.
2224	ENDIF
2225
2226	!
2227	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2228	!-- This flag is reset after each time step in time_integration.
2229	flow_statistics_called = .TRUE.
2230
2231	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2232
2233
2234	END SUBROUTINE flow_statistics

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