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source: palm/trunk/SOURCE/flow_statistics.f90 @ 4671

Last change on this file since 4671 was 4671, checked in by pavelkrc, 4 years ago
Radiative transfer model RTM version 4.1
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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 4671 2020-09-09 20:27:58Z pavelkrc $
26	! Implementation of downward facing USM and LSM surfaces
27	!
28	! 4646 2020-08-24 16:02:40Z raasch
29	! file re-formatted to follow the PALM coding standard
30	!
31	! 4581 2020-06-29 08:49:58Z suehring
32	! Formatting adjustment
33	!
34	! 4551 2020-06-02 10:22:25Z suehring
35	! Bugfix in summation for statistical regions
36	!
37	! 4521 2020-05-06 11:39:49Z schwenkel
38	! Rename variable
39	!
40	! 4502 2020-04-17 16:14:16Z schwenkel
41	! Implementation of ice microphysics
42	!
43	! 4472 2020-03-24 12:21:00Z Giersch
44	! Calculations of the Kolmogorov lengt scale eta implemented
45	!
46	! 4464 2020-03-17 11:08:46Z Giersch
47	! Reset last change (r4463)
48	!
49	! 4463 2020-03-17 09:27:36Z Giersch
50	! Calculate horizontally averaged profiles of all velocity components at the same place
51	!
52	! 4444 2020-03-05 15:59:50Z raasch
53	! bugfix: cpp-directives for serial mode added
54	!
55	! 4442 2020-03-04 19:21:13Z suehring
56	! Change order of dimension in surface array %frac to allow for better vectorization.
57	!
58	! 4441 2020-03-04 19:20:35Z suehring
59	! Introduction of wall_flags_total_0, which currently sets bits based on static topography
60	! information used in wall_flags_static_0
61	!
62	! 4329 2019-12-10 15:46:36Z motisi
63	! Renamed wall_flags_0 to wall_flags_static_0
64	!
65	! 4182 2019-08-22 15:20:23Z scharf
66	! Corrected "Former revisions" section
67	!
68	! 4131 2019-08-02 11:06:18Z monakurppa
69	! Allow profile output for salsa variables.
70	!
71	! 4039 2019-06-18 10:32:41Z suehring
72	! Correct conversion to kinematic scalar fluxes in case of pw-scheme and statistic regions
73	!
74	! 3828 2019-03-27 19:36:23Z raasch
75	! unused variables removed
76	!
77	! 3676 2019-01-16 15:07:05Z knoop
78	! Bugfix, terminate OMP Parallel block
79	!
80	! Revision 1.1 1997/08/11 06:15:17 raasch
81	! Initial revision
82	!
83	!
84	! Description:
85	! ------------
86	!> Compute average profiles and further average flow quantities for the different user-defined
87	!> (sub-)regions. The region indexed 0 is the total model domain.
88	!>
89	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are used as a lower vertical index for
90	!> k-loops for all variables, although strictly speaking the k-loops would have to be split
91	!> up according to the staggered grid. However, this implies no error since staggered velocity
92	!> components are zero at the walls and inside buildings.
93	!--------------------------------------------------------------------------------------------------!
94	SUBROUTINE flow_statistics
95
96
97	USE arrays_3d, &
98	ONLY: ddzu, ddzw, d_exner, e, heatflux_output_conversion, hyp, km, kh, &
99	momentumflux_output_conversion, nc, ni, nr, p, prho, prr, pt, q, qc, qi, ql, qr, &
100	rho_air, rho_air_zw, rho_ocean, s, sa, u, ug, v, vg, vpt, w, w_subs, &
101	waterflux_output_conversion, zw
102
103	USE basic_constants_and_equations_mod, &
104	ONLY: g, lv_d_cp
105
106	USE bulk_cloud_model_mod, &
107	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert, microphysics_ice_phase
108
109	USE chem_modules, &
110	ONLY: max_pr_cs
111
112	USE control_parameters, &
113	ONLY: air_chemistry, average_count_pr, cloud_droplets, do_sum, dt_3d, humidity, &
114	initializing_actions, kolmogorov_length_scale, land_surface, large_scale_forcing, &
115	large_scale_subsidence, max_pr_salsa, max_pr_user, message_string, neutral, &
116	ocean_mode, passive_scalar, salsa, simulated_time, simulated_time_at_begin, &
117	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, ws_scheme_mom, &
118	ws_scheme_sca
119
120	USE cpulog, &
121	ONLY: cpu_log, log_point
122
123	USE grid_variables, &
124	ONLY: ddx, ddy
125
126	USE indices, &
127	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, nxl, nxr, nyn, nys, nzb, nzt, &
128	topo_min_level, wall_flags_total_0
129
130	#if defined( __parallel )
131	USE indices, &
132	ONLY: ngp_sums, ngp_sums_ls
133	#endif
134
135	USE kinds
136
137	USE land_surface_model_mod, &
138	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
139
140	USE lsf_nudging_mod, &
141	ONLY: td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert
142
143	USE module_interface, &
144	ONLY: module_interface_statistics
145
146	USE netcdf_interface, &
147	ONLY: dots_rad, dots_soil, dots_max
148
149	USE pegrid
150
151	USE radiation_model_mod, &
152	ONLY: radiation, radiation_scheme, &
153	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
154	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
155
156	USE statistics
157
158	USE surface_mod, &
159	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
160
161
162	IMPLICIT NONE
163
164	INTEGER(iwp) :: i !<
165	INTEGER(iwp) :: j !<
166	INTEGER(iwp) :: k !<
167	INTEGER(iwp) :: ki !<
168	INTEGER(iwp) :: k_surface_level !<
169	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
170	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
171	INTEGER(iwp) :: nt !<
172	!$ INTEGER(iwp) :: omp_get_thread_num !<
173	INTEGER(iwp) :: sr !<
174	INTEGER(iwp) :: tn !<
175
176	LOGICAL :: first !<
177
178	REAL(wp) :: dissipation !< dissipation rate
179	REAL(wp) :: dptdz_threshold !<
180	REAL(wp) :: du_dx !< Derivative of u fluctuations with respect to x
181	REAL(wp) :: du_dy !< Derivative of u fluctuations with respect to y
182	REAL(wp) :: du_dz !< Derivative of u fluctuations with respect to z
183	REAL(wp) :: dv_dx !< Derivative of v fluctuations with respect to x
184	REAL(wp) :: dv_dy !< Derivative of v fluctuations with respect to y
185	REAL(wp) :: dv_dz !< Derivative of v fluctuations with respect to z
186	REAL(wp) :: dw_dx !< Derivative of w fluctuations with respect to x
187	REAL(wp) :: dw_dy !< Derivative of w fluctuations with respect to y
188	REAL(wp) :: dw_dz !< Derivative of w fluctuations with respect to z
189	REAL(wp) :: eta !< Kolmogorov length scale
190	REAL(wp) :: fac !<
191	REAL(wp) :: flag !<
192	REAL(wp) :: height !<
193	REAL(wp) :: pts !<
194	REAL(wp) :: s11 !< fluctuating rate-of-strain tensor component 11
195	REAL(wp) :: s21 !< fluctuating rate-of-strain tensor component 21
196	REAL(wp) :: s31 !< fluctuating rate-of-strain tensor component 31
197	REAL(wp) :: s12 !< fluctuating rate-of-strain tensor component 12
198	REAL(wp) :: s22 !< fluctuating rate-of-strain tensor component 22
199	REAL(wp) :: s32 !< fluctuating rate-of-strain tensor component 32
200	REAL(wp) :: s13 !< fluctuating rate-of-strain tensor component 13
201	REAL(wp) :: s23 !< fluctuating rate-of-strain tensor component 23
202	REAL(wp) :: s33 !< fluctuating rate-of-strain tensor component 33
203	REAL(wp) :: sums_l_etot !<
204	REAL(wp) :: ust !<
205	REAL(wp) :: ust2 !<
206	REAL(wp) :: u2 !<
207	REAL(wp) :: vst !<
208	REAL(wp) :: vst2 !<
209	REAL(wp) :: v2 !<
210	REAL(wp) :: w2 !<
211
212	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
213	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
214
215
216	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
217
218
219	!
220	!-- To be on the safe side, check whether flow_statistics has already been called once after the
221	!-- current time step.
222	IF ( flow_statistics_called ) THEN
223
224	message_string = 'flow_statistics is called two times within one ' // 'timestep'
225	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
226
227	ENDIF
228
229	!
230	!-- Compute statistics for each (sub-)region
231	DO sr = 0, statistic_regions
232
233	!
234	!-- Initialize (local) summation array
235	sums_l = 0.0_wp
236	#ifdef _OPENACC
237	!$ACC KERNELS PRESENT(sums_l)
238	sums_l = 0.0_wp
239	!$ACC END KERNELS
240	#endif
241
242	!
243	!-- Store sums that have been computed in other subroutines in summation array
244	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
245	!-- WARNING: next line still has to be adjusted for OpenMP
246	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
247	heatflux_output_conversion ! heat flux from advec_s_bc
248	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
249	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
250
251	!
252	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-scale) vertical fluxes
253	!-- and velocity variances by using commonly-applied Reynolds-based methods
254	!-- ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) ) in combination with the 5th order advection scheme,
255	!-- pronounced artificial kinks could be observed in the vertical profiles near the surface.
256	!-- Please note: these kinks were not related to the model truth, i.e. these kinks are just
257	!-- related to an evaluation problem.
258	!-- In order avoid these kinks, vertical fluxes and horizontal as well vertical velocity
259	!-- variances are calculated directly within the advection routines, according to the numerical
260	!-- discretization, to evaluate the statistical quantities as they will appear within the
261	!-- prognostic equations.
262	!-- Copy the turbulent quantities, evaluated in the advection routines to the local array
263	!-- sums_l() for further computations.
264	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
265
266	!
267	!-- According to the Neumann bc for the horizontal velocity components, the corresponding
268	!-- fluxes has to satisfiy the same bc.
269	IF ( ocean_mode ) THEN
270	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
271	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
272	ENDIF
273
274	DO i = 0, threads_per_task-1
275	!
276	!-- Swap the turbulent quantities evaluated in advec_ws.
277	sums_l(:,13,i) = sums_wsus_ws_l(:,i) * momentumflux_output_conversion ! wu
278	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) * momentumflux_output_conversion ! wv
279	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
280	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
281	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
282	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
283	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + sums_ws2_ws_l(:,i) ) ! e*
284	ENDDO
285
286	ENDIF
287
288	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
289
290	DO i = 0, threads_per_task-1
291	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
292	* heatflux_output_conversion ! wpt
293	IF ( ocean_mode ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
294	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
295	* waterflux_output_conversion ! wq
296	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
297	ENDDO
298
299	ENDIF
300	!
301	!-- Horizontally averaged profiles of horizontal velocities and temperature.
302	!-- They must have been computed before, because they are already required for other horizontal
303	!-- averages.
304	tn = 0
305	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
306	!$ tn = omp_get_thread_num()
307	!$OMP DO
308	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag) &
309	!$ACC PRESENT(wall_flags_total_0, u, v, pt, rmask, sums_l)
310	DO i = nxl, nxr
311	DO j = nys, nyn
312	DO k = nzb, nzt+1
313	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
314	!$ACC ATOMIC
315	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) * flag
316	!$ACC ATOMIC
317	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) * flag
318	!$ACC ATOMIC
319	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) * flag
320	ENDDO
321	ENDDO
322	ENDDO
323	!$ACC UPDATE HOST(sums_l(:,1,tn), sums_l(:,2,tn), sums_l(:,4,tn))
324
325	!
326	!-- Horizontally averaged profile of salinity
327	IF ( ocean_mode ) THEN
328	!$OMP DO
329	DO i = nxl, nxr
330	DO j = nys, nyn
331	DO k = nzb, nzt+1
332	sums_l(k,23,tn) = sums_l(k,23,tn) + sa(k,j,i) &
333	* rmask(j,i,sr) &
334	* MERGE( 1.0_wp, 0.0_wp, &
335	BTEST( wall_flags_total_0(k,j,i), 22 ) )
336	ENDDO
337	ENDDO
338	ENDDO
339	ENDIF
340
341	!
342	!-- Horizontally averaged profiles of virtual potential temperature, total water content, water
343	!-- vapor mixing ratio and liquid water potential temperature
344	IF ( humidity ) THEN
345	!$OMP DO
346	DO i = nxl, nxr
347	DO j = nys, nyn
348	DO k = nzb, nzt+1
349	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
350	sums_l(k,44,tn) = sums_l(k,44,tn) + vpt(k,j,i) * rmask(j,i,sr) * flag
351	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr) * flag
352	ENDDO
353	ENDDO
354	ENDDO
355	IF ( bulk_cloud_model ) THEN
356	!$OMP DO
357	DO i = nxl, nxr
358	DO j = nys, nyn
359	DO k = nzb, nzt+1
360	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
361	sums_l(k,42,tn) = sums_l(k,42,tn) + &
362	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) * flag
363	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
364	pt(k,j,i) + lv_d_cp * d_exner(k) * ql(k,j,i) &
365	) * rmask(j,i,sr) * flag
366	ENDDO
367	ENDDO
368	ENDDO
369	ENDIF
370	ENDIF
371
372	!
373	!-- Horizontally averaged profiles of passive scalar
374	IF ( passive_scalar ) THEN
375	!$OMP DO
376	DO i = nxl, nxr
377	DO j = nys, nyn
378	DO k = nzb, nzt+1
379	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
380	* rmask(j,i,sr) &
381	* MERGE( 1.0_wp, 0.0_wp, &
382	BTEST( wall_flags_total_0(k,j,i), 22 ) )
383	ENDDO
384	ENDDO
385	ENDDO
386	ENDIF
387	!$OMP END PARALLEL
388	!
389	!-- Summation of thread sums
390	IF ( threads_per_task > 1 ) THEN
391	DO i = 1, threads_per_task-1
392	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
393	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
394	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
395	IF ( ocean_mode ) THEN
396	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
397	ENDIF
398	IF ( humidity ) THEN
399	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
400	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
401	IF ( bulk_cloud_model ) THEN
402	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
403	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
404	ENDIF
405	ENDIF
406	IF ( passive_scalar ) THEN
407	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
408	ENDIF
409	ENDDO
410	ENDIF
411
412	#if defined( __parallel )
413	!
414	!-- Compute total sum from local sums
415	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
416	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
417	ierr )
418	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
419	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
420	ierr )
421	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
422	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
423	ierr )
424	IF ( ocean_mode ) THEN
425	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
426	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
427	ierr )
428	ENDIF
429	IF ( humidity ) THEN
430	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
431	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
432	ierr )
433	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
434	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
435	ierr )
436	IF ( bulk_cloud_model ) THEN
437	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
438	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, MPI_REAL, MPI_SUM, &
439	comm2d, ierr )
440	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
441	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, MPI_REAL, MPI_SUM, &
442	comm2d, ierr )
443	ENDIF
444	ENDIF
445
446	IF ( passive_scalar ) THEN
447	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
448	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, MPI_REAL, MPI_SUM, &
449	comm2d, ierr )
450	ENDIF
451	#else
452	sums(:,1) = sums_l(:,1,0)
453	sums(:,2) = sums_l(:,2,0)
454	sums(:,4) = sums_l(:,4,0)
455	IF ( ocean_mode ) sums(:,23) = sums_l(:,23,0)
456	IF ( humidity ) THEN
457	sums(:,44) = sums_l(:,44,0)
458	sums(:,41) = sums_l(:,41,0)
459	IF ( bulk_cloud_model ) THEN
460	sums(:,42) = sums_l(:,42,0)
461	sums(:,43) = sums_l(:,43,0)
462	ENDIF
463	ENDIF
464	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
465	#endif
466
467	!
468	!-- Final values are obtained by division by the total number of grid points used for summation.
469	!-- After that store profiles.
470	sums(:,1) = sums(:,1) / ngp_2dh(sr)
471	sums(:,2) = sums(:,2) / ngp_2dh(sr)
472	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
473	hom(:,1,1,sr) = sums(:,1) ! u
474	hom(:,1,2,sr) = sums(:,2) ! v
475	hom(:,1,4,sr) = sums(:,4) ! pt
476	!$ACC UPDATE DEVICE(hom(:,1,1,sr), hom(:,1,2,sr), hom(:,1,4,sr))
477
478
479	!
480	!-- Salinity
481	IF ( ocean_mode ) THEN
482	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
483	hom(:,1,23,sr) = sums(:,23) ! sa
484	ENDIF
485
486	!
487	!-- Humidity and cloud parameters
488	IF ( humidity ) THEN
489	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
490	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
491	hom(:,1,44,sr) = sums(:,44) ! vpt
492	hom(:,1,41,sr) = sums(:,41) ! qv (q)
493	IF ( bulk_cloud_model ) THEN
494	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
495	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
496	hom(:,1,42,sr) = sums(:,42) ! qv
497	hom(:,1,43,sr) = sums(:,43) ! pt
498	ENDIF
499	ENDIF
500
501	!
502	!-- Passive scalar
503	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / ngp_2dh_s_inner(:,sr) ! s
504
505	!
506	!-- Horizontally averaged profiles of the remaining prognostic variables, variances, the total
507	!-- and the perturbation energy (single values in last column of sums_l) and some diagnostic
508	!-- quantities.
509	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly speaking the following
510	!-- ---- k-loop would have to be split up and rearranged according to the staggered grid.
511	!-- However, this implies no error since staggered velocity components are zero at the
512	!-- walls and inside buildings.
513	tn = 0
514	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, &
515	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
516	!$OMP w2, flag, m, ki, l )
517	!$ tn = omp_get_thread_num()
518	!$OMP DO
519	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, m) &
520	!$ACC PRIVATE(sums_l_etot, flag, du_dx, du_dy, du_dz) &
521	!$ACC PRIVATE(dv_dx, dv_dy, dv_dz, dw_dx, dw_dy, dw_dz) &
522	!$ACC PRIVATE(s11, s21, s31, s12, s22, s32, s13, s23, s33) &
523	!$ACC PRIVATE(dissipation, eta) &
524	!$ACC PRESENT(wall_flags_total_0, rmask, momentumflux_output_conversion) &
525	!$ACC PRESENT(hom(:,1,1:2,sr), hom(:,1,4,sr)) &
526	!$ACC PRESENT(e, u, v, w, km, kh, p, pt) &
527	!$ACC PRESENT(ddx, ddy, ddzu, ddzw) &
528	!$ACC PRESENT(surf_def_h(0), surf_lsm_h(0), surf_usm_h(0)) &
529	!$ACC PRESENT(sums_l)
530	DO i = nxl, nxr
531	DO j = nys, nyn
532	sums_l_etot = 0.0_wp
533	DO k = nzb, nzt+1
534	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
535	!
536	!-- Prognostic and diagnostic variables
537	!$ACC ATOMIC
538	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) * flag
539	!$ACC ATOMIC
540	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) * flag
541	!$ACC ATOMIC
542	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) * flag
543	!$ACC ATOMIC
544	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) * flag
545	!$ACC ATOMIC
546	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
547	/ momentumflux_output_conversion(k) ) * flag
548
549	!$ACC ATOMIC
550	sums_l(k,33,tn) = sums_l(k,33,tn) + &
551	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr) * flag
552	#ifndef _OPENACC
553	IF ( humidity ) THEN
554	sums_l(k,70,tn) = sums_l(k,70,tn) + &
555	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr) * flag
556	ENDIF
557	IF ( passive_scalar ) THEN
558	sums_l(k,116,tn) = sums_l(k,116,tn) + &
559	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr) * flag
560	ENDIF
561	#endif
562	!
563	!-- Higher moments
564	!-- (Computation of the skewness of w further below)
565	!$ACC ATOMIC
566	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) * flag
567
568	sums_l_etot = sums_l_etot + 0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + w(k,j,i)**2 ) &
569	* rmask(j,i,sr) * flag
570
571	!
572	!-- Computation of the Kolmogorov length scale. Calculation is based on gradients of the
573	!-- deviations from the horizontal mean.
574	!-- Kolmogorov scale at the boundaries (k=0/z=0m and k=nzt+1) is set to zero.
575	IF ( kolmogorov_length_scale .AND. k /= nzb .AND. k /= nzt+1) THEN
576	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
577
578	!
579	!-- Calculate components of the fluctuating rate-of-strain tensor
580	!-- (0.5*(del u'_i/del x_j + del u'_j/del x_i)) defined in the center of each grid
581	!-- box.
582	du_dx = ( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
583	( u(k,j,i) - hom(k,1,1,sr) ) ) * ddx
584	du_dy = 0.25_wp * ddy * &
585	( ( u(k,j+1,i) - hom(k,1,1,sr) ) - &
586	( u(k,j-1,i) - hom(k,1,1,sr) ) + &
587	( u(k,j+1,i+1) - hom(k,1,1,sr) ) - &
588	( u(k,j-1,i+1) - hom(k,1,1,sr) ) )
589	du_dz = 0.25_wp * ( ( ( u(k+1,j,i) - hom(k+1,1,1,sr) ) - &
590	( u(k,j,i) - hom(k,1,1,sr) ) ) * &
591	ddzu(k+1) + &
592	( ( u(k,j,i) - hom(k,1,1,sr) ) - &
593	( u(k-1,j,i) - hom(k-1,1,1,sr) ) ) * &
594	ddzu(k) + &
595	( ( u(k+1,j,i+1) - hom(k+1,1,1,sr) ) - &
596	( u(k,j,i+1) - hom(k,1,1,sr) ) ) * &
597	ddzu(k+1) + &
598	( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
599	( u(k-1,j,i+1) - hom(k-1,1,1,sr) ) ) * &
600	ddzu(k) )
601
602	dv_dx = 0.25_wp * ddx * &
603	( ( v(k,j,i+1) - hom(k,1,2,sr) ) - &
604	( v(k,j,i-1) - hom(k,1,2,sr) ) + &
605	( v(k,j+1,i+1) - hom(k,1,2,sr) ) - &
606	( v(k,j+1,i-1) - hom(k,1,2,sr) ) )
607	dv_dy = ( ( v(k,j+1,i) - hom(k,1,2,sr) ) - ( v(k,j,i) - hom(k,1,2,sr) ) ) * ddy
608	dv_dz = 0.25_wp * ( ( ( v(k+1,j,i) - hom(k+1,1,2,sr) ) - &
609	( v(k,j,i) - hom(k,1,2,sr) ) ) * &
610	ddzu(k+1) + &
611	( ( v(k,j,i) - hom(k,1,2,sr) ) - &
612	( v(k-1,j,i) - hom(k-1,1,2,sr) ) ) * &
613	ddzu(k) + &
614	( ( v(k+1,j+1,i) - hom(k+1,1,2,sr) ) - &
615	( v(k,j+1,i) - hom(k,1,2,sr) ) ) * &
616	ddzu(k+1) + &
617	( ( v(k,j+1,i) - hom(k,1,2,sr) ) - &
618	( v(k-1,j+1,i) - hom(k-1,1,2,sr) ) ) * &
619	ddzu(k) )
620
621	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) )
622	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) )
623	dw_dz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
624
625	s11 = 0.5_wp * ( du_dx + du_dx )
626	s21 = 0.5_wp * ( dv_dx + du_dy )
627	s31 = 0.5_wp * ( dw_dx + du_dz )
628
629	s12 = s21
630	s22 = 0.5 * ( dv_dy + dv_dy )
631	s32 = 0.5 * ( dw_dy + dv_dz )
632
633	s13 = s31
634	s23 = s32
635	s33 = 0.5_wp * ( dw_dz + dw_dz )
636
637	!-- Calculate 3D instantaneous energy dissipation rate following Pope (2000):
638	!-- Turbulent flows, p.259. It is defined in the center of each grid volume.
639	dissipation = 2.0_wp * km(k,j,i) * &
640	( s11s11 + s21s21 + s31*s31 + &
641	s12s12 + s22s22 + s32*s32 + &
642	s13s13 + s23s23 + s33*s33 )
643	eta = ( km(k,j,i)3.0_wp / ( dissipation+1.0E-12 ) )(1.0_wp/4.0_wp)
644
645	!$ACC ATOMIC
646	sums_l(k,121,tn) = sums_l(k,121,tn) + eta * rmask(j,i,sr) * flag
647
648
649	ENDIF !Kolmogorov length scale
650
651	ENDDO !k-loop
652	!
653	!-- Total and perturbation energy for the total domain (being collected in the last column
654	!-- of sums_l). Summation of these quantities is seperated from the previous loop in order
655	!-- to allow vectorization of that loop.
656	!$ACC ATOMIC
657	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
658	!
659	!-- 2D-arrays (being collected in the last column of sums_l)
660	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
661	m = surf_def_h(0)%start_index(j,i)
662	!$ACC ATOMIC
663	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
664	surf_def_h(0)%us(m) * rmask(j,i,sr)
665	!$ACC ATOMIC
666	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
667	surf_def_h(0)%usws(m) * rmask(j,i,sr)
668	!$ACC ATOMIC
669	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
670	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
671	!$ACC ATOMIC
672	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
673	surf_def_h(0)%ts(m) * rmask(j,i,sr)
674	#ifndef _OPENACC
675	IF ( humidity ) THEN
676	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
677	surf_def_h(0)%qs(m) * rmask(j,i,sr)
678	ENDIF
679	IF ( passive_scalar ) THEN
680	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
681	surf_def_h(0)%ss(m) * rmask(j,i,sr)
682	ENDIF
683	#endif
684	!
685	!-- Summation of surface temperature.
686	!$ACC ATOMIC
687	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
688	surf_def_h(0)%pt_surface(m) * rmask(j,i,sr)
689	ENDIF
690	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
691	m = surf_lsm_h(0)%start_index(j,i)
692	!$ACC ATOMIC
693	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
694	surf_lsm_h(0)%us(m) * rmask(j,i,sr)
695	!$ACC ATOMIC
696	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
697	surf_lsm_h(0)%usws(m) * rmask(j,i,sr)
698	!$ACC ATOMIC
699	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
700	surf_lsm_h(0)%vsws(m) * rmask(j,i,sr)
701	!$ACC ATOMIC
702	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
703	surf_lsm_h(0)%ts(m) * rmask(j,i,sr)
704	#ifndef _OPENACC
705	IF ( humidity ) THEN
706	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
707	surf_lsm_h(0)%qs(m) * rmask(j,i,sr)
708	ENDIF
709	IF ( passive_scalar ) THEN
710	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
711	surf_lsm_h(0)%ss(m) * rmask(j,i,sr)
712	ENDIF
713	#endif
714	!
715	!-- Summation of surface temperature.
716	!$ACC ATOMIC
717	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
718	surf_lsm_h(0)%pt_surface(m) * rmask(j,i,sr)
719	ENDIF
720	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
721	m = surf_usm_h(0)%start_index(j,i)
722	!$ACC ATOMIC
723	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
724	surf_usm_h(0)%us(m) * rmask(j,i,sr)
725	!$ACC ATOMIC
726	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
727	surf_usm_h(0)%usws(m) * rmask(j,i,sr)
728	!$ACC ATOMIC
729	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
730	surf_usm_h(0)%vsws(m) * rmask(j,i,sr)
731	!$ACC ATOMIC
732	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
733	surf_usm_h(0)%ts(m) * rmask(j,i,sr)
734	#ifndef _OPENACC
735	IF ( humidity ) THEN
736	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
737	surf_usm_h(0)%qs(m) * rmask(j,i,sr)
738	ENDIF
739	IF ( passive_scalar ) THEN
740	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
741	surf_usm_h(0)%ss(m) * rmask(j,i,sr)
742	ENDIF
743	#endif
744	!
745	!-- Summation of surface temperature.
746	!$ACC ATOMIC
747	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
748	surf_usm_h(0)%pt_surface(m) * rmask(j,i,sr)
749	ENDIF
750	ENDDO !j-loop
751	ENDDO !i-loop
752	!$ACC UPDATE &
753	!$ACC HOST(sums_l(:,3,tn), sums_l(:,8,tn), sums_l(:,9,tn)) &
754	!$ACC HOST(sums_l(:,10,tn), sums_l(:,40,tn), sums_l(:,33,tn)) &
755	!$ACC HOST(sums_l(:,38,tn), sums_l(:,121,tn)) &
756	!$ACC HOST(sums_l(nzb:nzb+4,pr_palm,tn), sums_l(nzb+14:nzb+14,pr_palm,tn))
757
758	!
759	!-- Computation of statistics when ws-scheme is not used. Else these
760	!-- quantities are evaluated in the advection routines.
761	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) THEN
762	!$OMP DO
763	DO i = nxl, nxr
764	DO j = nys, nyn
765	DO k = nzb, nzt+1
766	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
767
768	u2 = u(k,j,i)**2
769	v2 = v(k,j,i)**2
770	w2 = w(k,j,i)**2
771	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
772	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
773
774	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) * flag
775	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) * flag
776	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) * flag
777	!
778	!-- Perturbation energy
779	sums_l(k,34,tn) = sums_l(k,34,tn) + &
780	0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * flag
781	ENDDO
782	ENDDO
783	ENDDO
784	ENDIF
785	!
786	!-- Computaion of domain-averaged perturbation energy. Please note, to prevent that perturbation
787	!-- energy is larger (even if only slightly) than the total kinetic energy, calculation is based
788	!-- on deviations from the horizontal mean, instead of spatial descretization of the advection
789	!-- term.
790	!$OMP DO
791	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag, w2, ust2, vst2) &
792	!$ACC PRESENT(wall_flags_total_0, u, v, w, rmask, hom(:,1,1:2,sr)) &
793	!$ACC PRESENT(sums_l)
794	DO i = nxl, nxr
795	DO j = nys, nyn
796	DO k = nzb, nzt+1
797	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
798
799	w2 = w(k,j,i)**2
800	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
801	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
802	w2 = w(k,j,i)**2
803
804	!$ACC ATOMIC
805	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
806	+ 0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * flag
807
808	ENDDO
809	ENDDO
810	ENDDO
811	!$ACC UPDATE HOST(sums_l(nzb+5:nzb+5,pr_palm,tn))
812
813	!
814	!-- Horizontally averaged profiles of the vertical fluxes
815	!$OMP DO
816	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) &
817	!$ACC PRIVATE(ki, flag, ust, vst, pts) &
818	!$ACC PRESENT(kh, km, u, v, w, pt) &
819	!$ACC PRESENT(wall_flags_total_0, rmask, ddzu, rho_air_zw, hom(:,1,1:4,sr)) &
820	!$ACC PRESENT(heatflux_output_conversion, momentumflux_output_conversion) &
821	!$ACC PRESENT(surf_def_h(0:2), surf_lsm_h(0:1), surf_usm_h(0:1) &
822	!$ACC PRESENT(sums_l)
823	DO i = nxl, nxr
824	DO j = nys, nyn
825	!
826	!-- Subgridscale fluxes (without Prandtl layer from k=nzb, oterwise from k=nzb+1)
827	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although strictly speaking the
828	!-- ---- following k-loop would have to be split up according to the staggered grid.
829	!-- However, this implies no error since staggered velocity components are zero at
830	!-- the walls and inside buildings.
831	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes, which are added
832	!-- further below.
833	DO k = nzb, nzt
834	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
835	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
836	!
837	!-- Momentum flux w"u"
838	!$ACC ATOMIC
839	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
840	km(k,j,i) + km(k+1,j,i) + km(k,j,i-1) + km(k+1,j,i-1) &
841	) * ( &
842	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
843	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
844	) * rmask(j,i,sr) &
845	* rho_air_zw(k) &
846	* momentumflux_output_conversion(k) &
847	* flag
848	!
849	!-- Momentum flux w"v"
850	!$ACC ATOMIC
851	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
852	km(k,j,i) + km(k+1,j,i) + km(k,j-1,i) + km(k+1,j-1,i) &
853	) * ( &
854	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
855	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
856	) * rmask(j,i,sr) &
857	* rho_air_zw(k) &
858	* momentumflux_output_conversion(k) &
859	* flag
860	!
861	!-- Heat flux w"pt"
862	!$ACC ATOMIC
863	sums_l(k,16,tn) = sums_l(k,16,tn) &
864	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
865	* ( pt(k+1,j,i) - pt(k,j,i) ) &
866	* rho_air_zw(k) &
867	* heatflux_output_conversion(k) &
868	* ddzu(k+1) * rmask(j,i,sr) &
869	* flag
870
871	!
872	!-- Salinity flux w"sa"
873	#ifndef _OPENACC
874	IF ( ocean_mode ) THEN
875	sums_l(k,65,tn) = sums_l(k,65,tn) &
876	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
877	* ( sa(k+1,j,i) - sa(k,j,i) ) &
878	* ddzu(k+1) * rmask(j,i,sr) &
879	* flag
880	ENDIF
881
882	!
883	!-- Buoyancy flux, water flux (humidity flux) w"q"
884	IF ( humidity ) THEN
885	sums_l(k,45,tn) = sums_l(k,45,tn) &
886	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
887	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
888	* rho_air_zw(k) &
889	* heatflux_output_conversion(k) &
890	* ddzu(k+1) * rmask(j,i,sr) * flag
891	sums_l(k,48,tn) = sums_l(k,48,tn) &
892	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
893	* ( q(k+1,j,i) - q(k,j,i) ) &
894	* rho_air_zw(k) &
895	* waterflux_output_conversion(k) &
896	* ddzu(k+1) * rmask(j,i,sr) * flag
897
898	IF ( bulk_cloud_model ) THEN
899	sums_l(k,51,tn) = sums_l(k,51,tn) &
900	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
901	* ( ( q(k+1,j,i) - ql(k+1,j,i) ) &
902	- ( q(k,j,i) - ql(k,j,i) ) ) &
903	* rho_air_zw(k) &
904	* waterflux_output_conversion(k) &
905	* ddzu(k+1) * rmask(j,i,sr) * flag
906	ENDIF
907	ENDIF
908
909	!
910	!-- Passive scalar flux
911	IF ( passive_scalar ) THEN
912	sums_l(k,117,tn) = sums_l(k,117,tn) &
913	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
914	* ( s(k+1,j,i) - s(k,j,i) ) &
915	* ddzu(k+1) * rmask(j,i,sr) &
916	* flag
917	ENDIF
918	#endif
919
920	ENDDO
921
922	!
923	!-- Subgridscale fluxes in the Prandtl layer
924	IF ( use_surface_fluxes ) THEN
925	DO l = 0, 1
926	! The original code using MERGE doesn't work with the PGI
927	! compiler when running on the GPU.
928	! This is submitted as a compiler Bug in PGI ticket TPR#26718
929	! ki = MERGE( -1, 0, l == 0 )
930	ki = -1 + l
931	IF ( surf_def_h(l)%ns >= 1 ) THEN
932	DO m = surf_def_h(l)%start_index(j,i), &
933	surf_def_h(l)%end_index(j,i)
934	k = surf_def_h(l)%k(m)
935
936	!$ACC ATOMIC
937	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
938	momentumflux_output_conversion(k+ki) * &
939	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
940	!$ACC ATOMIC
941	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
942	momentumflux_output_conversion(k+ki) * &
943	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
944	!$ACC ATOMIC
945	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
946	heatflux_output_conversion(k+ki) * &
947	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
948	#if 0
949	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
950	0.0_wp * rmask(j,i,sr) ! u"pt"
951	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
952	0.0_wp * rmask(j,i,sr) ! v"pt"
953	#endif
954	#ifndef _OPENACC
955	IF ( ocean_mode ) THEN
956	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
957	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
958	ENDIF
959	IF ( humidity ) THEN
960	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
961	waterflux_output_conversion(k+ki) * &
962	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
963	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
964	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
965	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
966	surf_def_h(l)%qsws(m) ) &
967	* heatflux_output_conversion(k+ki)
968	IF ( cloud_droplets ) THEN
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	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
972	0.61_wp * pt(k+ki,j,i) &
973	* surf_def_h(l)%qsws(m) ) &
974	* heatflux_output_conversion(k+ki)
975	ENDIF
976	IF ( bulk_cloud_model ) THEN
977	!
978	!-- Formula does not work if ql(k+ki) /= 0.0
979	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
980	waterflux_output_conversion(k+ki) * &
981	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
982	ENDIF
983	ENDIF
984	IF ( passive_scalar ) THEN
985	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
986	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
987	ENDIF
988	#endif
989
990	ENDDO
991
992	ENDIF
993	IF ( surf_lsm_h(l)%end_index(j,i) >= surf_lsm_h(l)%start_index(j,i) ) THEN
994	m = surf_lsm_h(l)%start_index(j,i)
995	!$ACC ATOMIC
996	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
997	momentumflux_output_conversion(nzb) * &
998	surf_lsm_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
999	!$ACC ATOMIC
1000	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1001	momentumflux_output_conversion(nzb) * &
1002	surf_lsm_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
1003	!$ACC ATOMIC
1004	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1005	heatflux_output_conversion(nzb) * &
1006	surf_lsm_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1007	#if 0
1008	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1009	0.0_wp * rmask(j,i,sr) ! u"pt"
1010	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1011	0.0_wp * rmask(j,i,sr) ! v"pt"
1012	#endif
1013	#ifndef _OPENACC
1014	IF ( ocean_mode ) THEN
1015	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1016	surf_lsm_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1017	ENDIF
1018	IF ( humidity ) THEN
1019	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1020	waterflux_output_conversion(nzb) * &
1021	surf_lsm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1022	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1023	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * surf_lsm_h(l)%shf(m) + &
1024	0.61_wp * pt(nzb,j,i) * surf_lsm_h(l)%qsws(m) ) &
1025	* heatflux_output_conversion(nzb)
1026	IF ( cloud_droplets ) THEN
1027	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1028	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1029	ql(nzb,j,i) ) * surf_lsm_h(l)%shf(m) + &
1030	0.61_wp * pt(nzb,j,i) * surf_lsm_h(l)%qsws(m) ) &
1031	* heatflux_output_conversion(nzb)
1032	ENDIF
1033	IF ( bulk_cloud_model ) THEN
1034	!
1035	!-- Formula does not work if ql(nzb) /= 0.0
1036	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1037	waterflux_output_conversion(nzb) * &
1038	surf_lsm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1039	ENDIF
1040	ENDIF
1041	IF ( passive_scalar ) THEN
1042	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1043	surf_lsm_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1044	ENDIF
1045	#endif
1046
1047	ENDIF
1048	IF ( surf_usm_h(l)%end_index(j,i) >= surf_usm_h(l)%start_index(j,i) ) THEN
1049	m = surf_usm_h(l)%start_index(j,i)
1050	!$ACC ATOMIC
1051	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1052	momentumflux_output_conversion(nzb) * &
1053	surf_usm_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
1054	!$ACC ATOMIC
1055	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1056	momentumflux_output_conversion(nzb) * &
1057	surf_usm_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
1058	!$ACC ATOMIC
1059	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1060	heatflux_output_conversion(nzb) * &
1061	surf_usm_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1062	#if 0
1063	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + 0.0_wp * rmask(j,i,sr) ! u"pt"
1064	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + 0.0_wp * rmask(j,i,sr) ! v"pt"
1065	#endif
1066	#ifndef _OPENACC
1067	IF ( ocean_mode ) THEN
1068	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1069	surf_usm_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1070	ENDIF
1071	IF ( humidity ) THEN
1072	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1073	waterflux_output_conversion(nzb) * &
1074	surf_usm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1075	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1076	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1077	surf_usm_h(l)%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1078	surf_usm_h(l)%qsws(m) ) &
1079	* heatflux_output_conversion(nzb)
1080	IF ( cloud_droplets ) THEN
1081	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1082	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1083	ql(nzb,j,i) ) * surf_usm_h(l)%shf(m) + &
1084	0.61_wp * pt(nzb,j,i) * surf_usm_h(l)%qsws(m) ) &
1085	* heatflux_output_conversion(nzb)
1086	ENDIF
1087	IF ( bulk_cloud_model ) THEN
1088	!
1089	!-- Formula does not work if ql(nzb) /= 0.0
1090	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1091	waterflux_output_conversion(nzb) * &
1092	surf_usm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1093	ENDIF
1094	ENDIF
1095	IF ( passive_scalar ) THEN
1096	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1097	surf_usm_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1098	ENDIF
1099	#endif
1100
1101	ENDIF
1102	ENDDO
1103	ENDIF
1104
1105	#ifndef _OPENACC
1106	IF ( .NOT. neutral ) THEN
1107	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1108	m = surf_def_h(0)%start_index(j,i)
1109	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1110	ENDIF
1111	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1112	m = surf_lsm_h(0)%start_index(j,i)
1113	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_lsm_h(0)%ol(m) * rmask(j,i,sr) ! L
1114	ENDIF
1115	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1116	m = surf_usm_h(0)%start_index(j,i)
1117	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_usm_h(0)%ol(m) * rmask(j,i,sr) ! L
1118	ENDIF
1119	ENDIF
1120
1121	IF ( radiation ) THEN
1122	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1123	m = surf_def_h(0)%start_index(j,i)
1124	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1125	surf_def_h(0)%rad_net(m) * rmask(j,i,sr)
1126	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1127	surf_def_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1128	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1129	surf_def_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1130	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1131	surf_def_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1132	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1133	surf_def_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1134	ENDIF
1135	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1136	m = surf_lsm_h(0)%start_index(j,i)
1137	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1138	surf_lsm_h(0)%rad_net(m) * rmask(j,i,sr)
1139	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1140	surf_lsm_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1141	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1142	surf_lsm_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1143	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1144	surf_lsm_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1145	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1146	surf_lsm_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1147	ENDIF
1148	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1149	m = surf_usm_h(0)%start_index(j,i)
1150	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1151	surf_usm_h(0)%rad_net(m) * rmask(j,i,sr)
1152	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1153	surf_usm_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1154	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1155	surf_usm_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1156	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1157	surf_usm_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1158	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1159	surf_usm_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1160	ENDIF
1161
1162	#if defined ( __rrtmg )
1163	IF ( radiation_scheme == 'rrtmg' ) THEN
1164
1165	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1166	m = surf_def_h(0)%start_index(j,i)
1167	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1168	surf_def_h(0)%rrtm_aldif(m,0) * rmask(j,i,sr)
1169	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1170	surf_def_h(0)%rrtm_aldir(m,0) * rmask(j,i,sr)
1171	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1172	surf_def_h(0)%rrtm_asdif(m,0) * rmask(j,i,sr)
1173	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1174	surf_def_h(0)%rrtm_asdir(m,0) * rmask(j,i,sr)
1175	ENDIF
1176	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1177	m = surf_lsm_h(0)%start_index(j,i)
1178	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1179	SUM( surf_lsm_h(0)%frac(m,:) * &
1180	surf_lsm_h(0)%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1181	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1182	SUM( surf_lsm_h(0)%frac(m,:) * &
1183	surf_lsm_h(0)%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1184	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1185	SUM( surf_lsm_h(0)%frac(m,:) * &
1186	surf_lsm_h(0)%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1187	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1188	SUM( surf_lsm_h(0)%frac(m,:) * &
1189	surf_lsm_h(0)%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1190	ENDIF
1191	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1192	m = surf_usm_h(0)%start_index(j,i)
1193	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1194	SUM( surf_usm_h(0)%frac(m,:) * &
1195	surf_usm_h(0)%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1196	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1197	SUM( surf_usm_h(0)%frac(m,:) * &
1198	surf_usm_h(0)%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1199	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1200	SUM( surf_usm_h(0)%frac(m,:) * &
1201	surf_usm_h(0)%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1202	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1203	SUM( surf_usm_h(0)%frac(m,:) * &
1204	surf_usm_h(0)%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1205	ENDIF
1206
1207	ENDIF
1208	#endif
1209	ENDIF
1210	#endif
1211	!
1212	!-- Subgridscale fluxes at the top surface
1213	IF ( use_top_fluxes ) THEN
1214	m = surf_def_h(2)%start_index(j,i)
1215	!$ACC ATOMIC
1216	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
1217	momentumflux_output_conversion(nzt) * &
1218	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1219	!$ACC ATOMIC
1220	sums_l(nzt+1,12,tn) = sums_l(nzt+1,12,tn) + &
1221	momentumflux_output_conversion(nzt+1) * &
1222	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1223	!$ACC ATOMIC
1224	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
1225	momentumflux_output_conversion(nzt) * &
1226	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1227	!$ACC ATOMIC
1228	sums_l(nzt+1,14,tn) = sums_l(nzt+1,14,tn) + &
1229	momentumflux_output_conversion(nzt+1) * &
1230	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1231	!$ACC ATOMIC
1232	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
1233	heatflux_output_conversion(nzt) * &
1234	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1235	!$ACC ATOMIC
1236	sums_l(nzt+1,16,tn) = sums_l(nzt+1,16,tn) + &
1237	heatflux_output_conversion(nzt+1) * &
1238	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1239	#if 0
1240	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1241	0.0_wp * rmask(j,i,sr) ! u"pt"
1242	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1243	0.0_wp * rmask(j,i,sr) ! v"pt"
1244	#endif
1245	#ifndef _OPENACC
1246	IF ( ocean_mode ) THEN
1247	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1248	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1249	ENDIF
1250	IF ( humidity ) THEN
1251	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1252	waterflux_output_conversion(nzt) * &
1253	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1254	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1255	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
1256	surf_def_h(2)%shf(m) + &
1257	0.61_wp * pt(nzt,j,i) * &
1258	surf_def_h(2)%qsws(m) ) &
1259	* heatflux_output_conversion(nzt)
1260	IF ( cloud_droplets ) THEN
1261	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1262	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1263	ql(nzt,j,i) ) * &
1264	surf_def_h(2)%shf(m) + &
1265	0.61_wp * pt(nzt,j,i) * &
1266	surf_def_h(2)%qsws(m) ) &
1267	* heatflux_output_conversion(nzt)
1268	ENDIF
1269	IF ( bulk_cloud_model ) THEN
1270	!
1271	!-- Formula does not work if ql(nzb) /= 0.0
1272	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1273	waterflux_output_conversion(nzt) * &
1274	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1275	ENDIF
1276	ENDIF
1277	IF ( passive_scalar ) THEN
1278	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1279	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1280	ENDIF
1281	#endif
1282	ENDIF
1283
1284	!
1285	!-- Resolved fluxes (can be computed for all horizontal points)
1286	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly speaking the
1287	!-- ---- following k-loop would have to be split up and rearranged according to the
1288	!-- staggered grid.
1289	DO k = nzb, nzt
1290	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
1291	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1292	u(k+1,j,i) - hom(k+1,1,1,sr) )
1293	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1294	v(k+1,j,i) - hom(k+1,1,2,sr) )
1295	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1296	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1297	!
1298	!-- Higher moments
1299	!$ACC ATOMIC
1300	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 rmask(j,i,sr) * flag
1301	!$ACC ATOMIC
1302	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * rmask(j,i,sr) * flag
1303
1304	!
1305	!-- Salinity flux and density (density does not belong to here, but so far there is no
1306	!-- other suitable place to calculate)
1307	#ifndef _OPENACC
1308	IF ( ocean_mode ) THEN
1309	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1310	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1311	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1312	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1313	rmask(j,i,sr) * flag
1314	ENDIF
1315	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * rmask(j,i,sr) * flag
1316	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * rmask(j,i,sr) * flag
1317	ENDIF
1318
1319	!
1320	!-- Buoyancy flux, water flux, humidity flux, liquid water content, rain drop
1321	!-- concentration and rain water content
1322	IF ( humidity ) THEN
1323	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
1324	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1325	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1326	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1327	rho_air_zw(k) * &
1328	heatflux_output_conversion(k) * &
1329	rmask(j,i,sr) * flag
1330	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) * flag
1331
1332	IF ( .NOT. cloud_droplets ) THEN
1333	pts = 0.5_wp * &
1334	( ( q(k,j,i) - ql(k,j,i) ) - &
1335	hom(k,1,42,sr) + &
1336	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1337	hom(k+1,1,42,sr) )
1338	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1339	rho_air_zw(k) * &
1340	waterflux_output_conversion(k) * &
1341	rmask(j,i,sr) * flag
1342	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * rmask(j,i,sr) * flag
1343	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * rmask(j,i,sr) * flag
1344	IF ( microphysics_morrison ) THEN
1345	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * rmask(j,i,sr) * flag
1346	ENDIF
1347	IF ( microphysics_ice_phase ) THEN
1348	sums_l(k,124,tn) = sums_l(k,124,tn) + ni(k,j,i) * rmask(j,i,sr) * flag
1349	sums_l(k,125,tn) = sums_l(k,125,tn) + qi(k,j,i) * rmask(j,i,sr) * flag
1350	ENDIF
1351
1352	IF ( microphysics_seifert ) THEN
1353	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * rmask(j,i,sr) * flag
1354	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * rmask(j,i,sr) * flag
1355	ENDIF
1356	ENDIF
1357
1358	ELSE
1359	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1360	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1361	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1362	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1363	rho_air_zw(k) * &
1364	heatflux_output_conversion(k) * &
1365	rmask(j,i,sr) * flag
1366	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1367	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1368	hom(k,1,41,sr) ) * &
1369	sums_l(k,17,tn) + &
1370	0.61_wp * hom(k,1,4,sr) * &
1371	sums_l(k,49,tn) &
1372	) * heatflux_output_conversion(k) * flag
1373	END IF
1374	END IF
1375	ENDIF
1376	!
1377	!-- Passive scalar flux
1378	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca .OR. sr /= 0 ) ) THEN
1379	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1380	s(k+1,j,i) - hom(k+1,1,115,sr) )
1381	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * rmask(j,i,sr) * flag
1382	ENDIF
1383	#endif
1384
1385	!
1386	!-- Energy flux we
1387	!-- has to be adjusted
1388	!$ACC ATOMIC
1389	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1390	( ust2 + vst2 + w(k,j,i)**2 ) &
1391	* rho_air_zw(k) &
1392	* momentumflux_output_conversion(k) &
1393	* rmask(j,i,sr) * flag
1394	ENDDO
1395	ENDDO
1396	ENDDO
1397	!$OMP END PARALLEL
1398
1399	!$ACC UPDATE &
1400	!$ACC HOST(sums_l(:,12,tn), sums_l(:,14,tn), sums_l(:,16,tn)) &
1401	!$ACC HOST(sums_l(:,35,tn), sums_l(:,36,tn), sums_l(:,37,tn))
1402	!
1403	!-- Treat land-surface quantities according to new wall model structure.
1404	IF ( land_surface ) THEN
1405	tn = 0
1406	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1407	!$ tn = omp_get_thread_num()
1408	!$OMP DO
1409	DO m = 1, surf_lsm_h(0)%ns
1410	i = surf_lsm_h(0)%i(m)
1411	j = surf_lsm_h(0)%j(m)
1412
1413	IF ( i >= nxl .AND. i <= nxr .AND. j >= nys .AND. j <= nyn ) THEN
1414	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h(0)%ghf(m) * rmask(j,i,sr)
1415	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h(0)%qsws_liq(m) * rmask(j,i,sr)
1416	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h(0)%qsws_soil(m) * rmask(j,i,sr)
1417	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h(0)%qsws_veg(m) * rmask(j,i,sr)
1418	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h(0)%r_a(m) * rmask(j,i,sr)
1419	sums_l(nzb,98,tn) = sums_l(nzb,98,tn) + surf_lsm_h(0)%r_s(m) * rmask(j,i,sr)
1420	ENDIF
1421	ENDDO
1422	!$OMP END PARALLEL
1423
1424	tn = 0
1425	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1426	!$ tn = omp_get_thread_num()
1427	!$OMP DO
1428	DO m = 1, surf_lsm_h(0)%ns
1429
1430	i = surf_lsm_h(0)%i(m)
1431	j = surf_lsm_h(0)%j(m)
1432
1433	IF ( i >= nxl .AND. i <= nxr .AND. j >= nys .AND. j <= nyn ) THEN
1434
1435	DO k = nzb_soil, nzt_soil
1436	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h(0)%var_2d(k,m) * rmask(j,i,sr)
1437	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h(0)%var_2d(k,m) * rmask(j,i,sr)
1438	ENDDO
1439	ENDIF
1440	ENDDO
1441	!$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	sums(k,89:112) = sums(k,89:112) / ngp_2dh(sr)
1806	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1807	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1808	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1809	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1810	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1811	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1812	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1813	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1814	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1815	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1816	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1817	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1818	sums(k,123:125) = sums(k,123:125) * ngp_2dh_s_inner(k,sr) / ngp_2dh(sr)
1819	ENDIF
1820	ENDDO
1821
1822	!-- u* and so on
1823	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose size is always
1824	!-- ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer above the topography, they are
1825	!-- divided by ngp_2dh(sr)
1826	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / ngp_2dh(sr)
1827	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / ngp_2dh(sr) ! qs
1828	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / ngp_2dh(sr) ! ss
1829	sums(nzb+14,pr_palm) = sums(nzb+14,pr_palm) / ngp_2dh(sr) ! surface temperature
1830
1831	!-- eges, e*
1832	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / ngp_3d(sr)
1833	!-- Old and new divergence
1834	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / ngp_3d_inner(sr)
1835
1836	!-- User-defined profiles
1837	IF ( max_pr_user > 0 ) THEN
1838	DO k = nzb, nzt+1
1839	sums(k,pr_palm+1:pr_palm+max_pr_user) = sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1840	ngp_2dh_s_inner(k,sr)
1841	ENDDO
1842	ENDIF
1843
1844	IF ( air_chemistry ) THEN
1845	IF ( max_pr_cs > 0 ) THEN
1846	DO k = nzb, nzt+1
1847	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) = &
1848	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) / &
1849	ngp_2dh_s_inner(k,sr)
1850	ENDDO
1851	ENDIF
1852	ENDIF
1853
1854	IF ( salsa ) THEN
1855	IF ( max_pr_salsa > 0 ) THEN
1856	DO k = nzb, nzt+1
1857	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) = &
1858	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) &
1859	/ ngp_2dh_s_inner(k,sr)
1860	ENDDO
1861	ENDIF
1862	ENDIF
1863
1864	!
1865	!-- Collect horizontal average in hom.
1866	!-- Compute deduced averages (e.g. total heat flux)
1867	hom(:,1,3,sr) = sums(:,3) ! w
1868	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1869	hom(:,1,9,sr) = sums(:,9) ! km
1870	hom(:,1,10,sr) = sums(:,10) ! kh
1871	hom(:,1,11,sr) = sums(:,11) ! l
1872	hom(:,1,12,sr) = sums(:,12) ! w"u"
1873	hom(:,1,13,sr) = sums(:,13) ! wu
1874	hom(:,1,14,sr) = sums(:,14) ! w"v"
1875	hom(:,1,15,sr) = sums(:,15) ! wv
1876	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1877	hom(:,1,17,sr) = sums(:,17) ! wpt
1878	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1879	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1880	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1881	hom(:,1,21,sr) = sums(:,21) ! wptBC
1882	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1883	! profile 24 is initial profile (sa)
1884	! profiles 25-29 left empty for initial
1885	! profiles
1886	hom(:,1,30,sr) = sums(:,30) ! u*2
1887	hom(:,1,31,sr) = sums(:,31) ! v*2
1888	hom(:,1,32,sr) = sums(:,32) ! w*2
1889	hom(:,1,33,sr) = sums(:,33) ! pt*2
1890	hom(:,1,34,sr) = sums(:,34) ! e*
1891	hom(:,1,35,sr) = sums(:,35) ! w2pt
1892	hom(:,1,36,sr) = sums(:,36) ! wpt2
1893	hom(:,1,37,sr) = sums(:,37) ! we
1894	hom(:,1,38,sr) = sums(:,38) ! w*3
1895	hom(:,1,39,sr) = sums(:,38) / ( ABS( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1896	hom(:,1,40,sr) = sums(:,40) ! p
1897	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1898	hom(:,1,46,sr) = sums(:,46) ! wvpt
1899	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1900	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1901	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1902	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1903	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1904	hom(:,1,52,sr) = sums(:,52) ! wqv
1905	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1906	hom(:,1,54,sr) = sums(:,54) ! ql
1907	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1908	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1909	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
1910	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1911	hom(:,1,59,sr) = sums(:,59) ! upt
1912	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1913	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1914	hom(:,1,62,sr) = sums(:,62) ! vpt
1915	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1916	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
1917	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1918	hom(:,1,66,sr) = sums(:,66) ! wsa
1919	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1920	hom(:,1,68,sr) = sums(:,68) ! wp
1921	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
1922	hom(:,1,70,sr) = sums(:,70) ! q*2
1923	hom(:,1,71,sr) = sums(:,71) ! prho
1924	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
1925	hom(:,1,123,sr) = sums(:,123) ! nc
1926	hom(:,1,124,sr) = sums(:,124) ! ni
1927	hom(:,1,125,sr) = sums(:,125) ! qi
1928	hom(:,1,73,sr) = sums(:,73) ! nr
1929	hom(:,1,74,sr) = sums(:,74) ! qr
1930	hom(:,1,75,sr) = sums(:,75) ! qc
1931	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1932	! 77 is initial density profile
1933	hom(:,1,78,sr) = ug ! ug
1934	hom(:,1,79,sr) = vg ! vg
1935	hom(:,1,80,sr) = w_subs ! w_subs
1936
1937	IF ( large_scale_forcing ) THEN
1938	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1939	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1940	IF ( use_subsidence_tendencies ) THEN
1941	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1942	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1943	ELSE
1944	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1945	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1946	ENDIF
1947	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1948	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1949	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1950	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1951	ENDIF
1952
1953	IF ( land_surface ) THEN
1954	hom(:,1,89,sr) = sums(:,89) ! t_soil
1955	! 90 is initial t_soil profile
1956	hom(:,1,91,sr) = sums(:,91) ! m_soil
1957	! 92 is initial m_soil profile
1958	hom(:,1,93,sr) = sums(:,93) ! ghf
1959	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
1960	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
1961	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
1962	hom(:,1,97,sr) = sums(:,97) ! r_a
1963	hom(:,1,98,sr) = sums(:,98) ! r_s
1964
1965	ENDIF
1966
1967	IF ( radiation ) THEN
1968	hom(:,1,99,sr) = sums(:,99) ! rad_net
1969	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
1970	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
1971	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
1972	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
1973
1974	IF ( radiation_scheme == 'rrtmg' ) THEN
1975	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
1976	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
1977	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
1978	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
1979
1980	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
1981	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
1982	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
1983	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
1984	ENDIF
1985	ENDIF
1986
1987	hom(:,1,112,sr) = sums(:,112) !: L
1988
1989	IF ( passive_scalar ) THEN
1990	hom(:,1,117,sr) = sums(:,117) ! w"s"
1991	hom(:,1,114,sr) = sums(:,114) ! ws
1992	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
1993	hom(:,1,116,sr) = sums(:,116) ! s*2
1994	ENDIF
1995
1996	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
1997	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
1998
1999	IF ( kolmogorov_length_scale ) THEN
2000	hom(:,1,121,sr) = sums(:,121) * 1E3_wp ! eta in mm
2001	ENDIF
2002
2003
2004	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
2005	! u, w'u', w'v', t (in last profile)
2006
2007	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
2008	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
2009	sums(:,pr_palm+1:pr_palm+max_pr_user)
2010	ENDIF
2011
2012	IF ( air_chemistry ) THEN
2013	IF ( max_pr_cs > 0 ) THEN ! chem_spcs profiles
2014	hom(:, 1, pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs, sr) = &
2015	sums(:, pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs)
2016	ENDIF
2017	ENDIF
2018
2019	IF ( salsa ) THEN
2020	IF ( max_pr_salsa > 0 ) THEN ! salsa profiles
2021	hom(:,1,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa, sr) = &
2022	sums(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa)
2023	ENDIF
2024	ENDIF
2025	!
2026	!-- Determine the boundary layer height using two different schemes.
2027	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the first relative
2028	!-- minimum (maximum) of the total heat flux.
2029	!-- The corresponding height is assumed as the boundary layer height, if it is less than 1.5
2030	!-- times the height where the heat flux becomes negative (positive) for the first time.
2031	!-- Attention: the resolved vertical sensible heat flux (hom(:,1,17,sr) = wpt) is not known at
2032	!-- the beginning because the calculation happens in advec_s_ws which is called after
2033	!-- flow_statistics. Therefore z_i is directly taken from restart data at the beginning of
2034	!-- restart runs.
2035	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .OR. &
2036	simulated_time_at_begin /= simulated_time ) THEN
2037
2038	z_i(1) = 0.0_wp
2039	first = .TRUE.
2040
2041	IF ( ocean_mode ) THEN
2042	DO k = nzt, nzb+1, -1
2043	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2044	first = .FALSE.
2045	height = zw(k)
2046	ENDIF
2047	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2048	IF ( zw(k) < 1.5_wp * height ) THEN
2049	z_i(1) = zw(k)
2050	ELSE
2051	z_i(1) = height
2052	ENDIF
2053	EXIT
2054	ENDIF
2055	ENDDO
2056	ELSE
2057	DO k = nzb, nzt-1
2058	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2059	first = .FALSE.
2060	height = zw(k)
2061	ENDIF
2062	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2063	IF ( zw(k) < 1.5_wp * height ) THEN
2064	z_i(1) = zw(k)
2065	ELSE
2066	z_i(1) = height
2067	ENDIF
2068	EXIT
2069	ENDIF
2070	ENDDO
2071	ENDIF
2072
2073	!
2074	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified by Uhlenbrock(2006).
2075	!-- The boundary layer height is the height with the maximal local temperature gradient:
2076	!-- starting from the second (the last but one) vertical gridpoint, the local gradient must be
2077	!-- at least 0.2K/100m and greater than the next four gradients.
2078	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2079	!-- ocean case!
2080	z_i(2) = 0.0_wp
2081	DO k = nzb+1, nzt+1
2082	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2083	ENDDO
2084	dptdz_threshold = 0.2_wp / 100.0_wp
2085
2086	IF ( ocean_mode ) THEN
2087	DO k = nzt+1, nzb+5, -1
2088	IF ( dptdz(k) > dptdz_threshold .AND. &
2089	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
2090	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2091	z_i(2) = zw(k-1)
2092	EXIT
2093	ENDIF
2094	ENDDO
2095	ELSE
2096	DO k = nzb+1, nzt-3
2097	IF ( dptdz(k) > dptdz_threshold .AND. &
2098	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
2099	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2100	z_i(2) = zw(k-1)
2101	EXIT
2102	ENDIF
2103	ENDDO
2104	ENDIF
2105
2106	ENDIF
2107
2108	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2109	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2110
2111	!
2112	!-- Determine vertical index which is nearest to the mean surface level height of the respective
2113	!-- statistic region
2114	DO k = nzb, nzt
2115	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
2116	k_surface_level = k
2117	EXIT
2118	ENDIF
2119	ENDDO
2120
2121	!
2122	!-- Computation of both the characteristic vertical velocity and the characteristic convective
2123	!-- boundary layer temperature.
2124	!-- The inversion height entering into the equation is defined with respect to the mean surface
2125	!-- level height of the respective statistic region.
2126	!-- The horizontal average at surface level index + 1 is input for the average temperature.
2127	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp ) THEN
2128	hom(nzb+8,1,pr_palm,sr) = &
2129	( g / hom(k_surface_level+1,1,4,sr) * &
2130	( hom(k_surface_level,1,18,sr) / &
2131	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
2132	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
2133	ELSE
2134	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
2135	ENDIF
2136
2137	!
2138	!-- Collect the time series quantities. Please note, timeseries quantities which are collected
2139	!-- from horizontally averaged profiles, e.g. wpt or pt(zp), are treated specially. In case of
2140	!-- elevated model surfaces, index nzb+1 might be within topography and data will be zero.
2141	!-- Therefore, take value for the first atmosphere index, which is topo_min_level+1.
2142	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2143	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2144	ts_value(3,sr) = dt_3d
2145	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2146	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2147	ts_value(6,sr) = u_max
2148	ts_value(7,sr) = v_max
2149	ts_value(8,sr) = w_max
2150	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2151	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2152	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2153	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2154	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2155	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2156	ts_value(15,sr) = hom(topo_min_level+1,1,16,sr) ! w'pt' at k=1
2157	ts_value(16,sr) = hom(topo_min_level+1,1,18,sr) ! wpt at k=1
2158	ts_value(17,sr) = hom(nzb+14,1,pr_palm,sr) ! pt(0)
2159	ts_value(18,sr) = hom(topo_min_level+1,1,4,sr) ! pt(zp)
2160	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2161	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2162	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2163
2164	IF ( .NOT. neutral ) THEN
2165	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
2166	ELSE
2167	ts_value(22,sr) = 1.0E10_wp
2168	ENDIF
2169
2170	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2171
2172	IF ( passive_scalar ) THEN
2173	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
2174	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
2175	ENDIF
2176
2177	!
2178	!-- Collect land surface model timeseries
2179	IF ( land_surface ) THEN
2180	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2181	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2182	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2183	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2184	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2185	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2186	ENDIF
2187	!
2188	!-- Collect radiation model timeseries
2189	IF ( radiation ) THEN
2190	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2191	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2192	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2193	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2194	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2195
2196	IF ( radiation_scheme == 'rrtmg' ) THEN
2197	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2198	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2199	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2200	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2201	ENDIF
2202
2203	ENDIF
2204
2205	!
2206	!-- Calculate additional statistics provided by other modules
2207	CALL module_interface_statistics( 'time_series', sr, 0, dots_max )
2208
2209	ENDDO ! loop of the subregions
2210
2211	!
2212	!-- If required, sum up horizontal averages for subsequent time averaging.
2213	!-- Do not sum, if flow statistics is called before the first initial time step.
2214	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2215	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2216	hom_sum = hom_sum + hom(:,1,:,:)
2217	average_count_pr = average_count_pr + 1
2218	do_sum = .FALSE.
2219	ENDIF
2220
2221	!
2222	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2223	!-- This flag is reset after each time step in time_integration.
2224	flow_statistics_called = .TRUE.
2225
2226	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2227
2228
2229	END SUBROUTINE flow_statistics

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