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source: palm/trunk/SOURCE/flow_statistics.f90 @ 4676

Last change on this file since 4676 was 4672, checked in by pavelkrc, 4 years ago
OpenACC bugfix
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 4672 2020-09-09 21:27:32Z pavelkrc $
26	! OpenACC bugfix
27	!
28	! 4671 2020-09-09 20:27:58Z pavelkrc
29	! Implementation of downward facing USM and LSM surfaces
30	!
31	! 4646 2020-08-24 16:02:40Z raasch
32	! file re-formatted to follow the PALM coding standard
33	!
34	! 4581 2020-06-29 08:49:58Z suehring
35	! Formatting adjustment
36	!
37	! 4551 2020-06-02 10:22:25Z suehring
38	! Bugfix in summation for statistical regions
39	!
40	! 4521 2020-05-06 11:39:49Z schwenkel
41	! Rename variable
42	!
43	! 4502 2020-04-17 16:14:16Z schwenkel
44	! Implementation of ice microphysics
45	!
46	! 4472 2020-03-24 12:21:00Z Giersch
47	! Calculations of the Kolmogorov lengt scale eta implemented
48	!
49	! 4464 2020-03-17 11:08:46Z Giersch
50	! Reset last change (r4463)
51	!
52	! 4463 2020-03-17 09:27:36Z Giersch
53	! Calculate horizontally averaged profiles of all velocity components at the same place
54	!
55	! 4444 2020-03-05 15:59:50Z raasch
56	! bugfix: cpp-directives for serial mode added
57	!
58	! 4442 2020-03-04 19:21:13Z suehring
59	! Change order of dimension in surface array %frac to allow for better vectorization.
60	!
61	! 4441 2020-03-04 19:20:35Z suehring
62	! Introduction of wall_flags_total_0, which currently sets bits based on static topography
63	! information used in wall_flags_static_0
64	!
65	! 4329 2019-12-10 15:46:36Z motisi
66	! Renamed wall_flags_0 to wall_flags_static_0
67	!
68	! 4182 2019-08-22 15:20:23Z scharf
69	! Corrected "Former revisions" section
70	!
71	! 4131 2019-08-02 11:06:18Z monakurppa
72	! Allow profile output for salsa variables.
73	!
74	! 4039 2019-06-18 10:32:41Z suehring
75	! Correct conversion to kinematic scalar fluxes in case of pw-scheme and statistic regions
76	!
77	! 3828 2019-03-27 19:36:23Z raasch
78	! unused variables removed
79	!
80	! 3676 2019-01-16 15:07:05Z knoop
81	! Bugfix, terminate OMP Parallel block
82	!
83	! Revision 1.1 1997/08/11 06:15:17 raasch
84	! Initial revision
85	!
86	!
87	! Description:
88	! ------------
89	!> Compute average profiles and further average flow quantities for the different user-defined
90	!> (sub-)regions. The region indexed 0 is the total model domain.
91	!>
92	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are used as a lower vertical index for
93	!> k-loops for all variables, although strictly speaking the k-loops would have to be split
94	!> up according to the staggered grid. However, this implies no error since staggered velocity
95	!> components are zero at the walls and inside buildings.
96	!--------------------------------------------------------------------------------------------------!
97	SUBROUTINE flow_statistics
98
99
100	USE arrays_3d, &
101	ONLY: ddzu, ddzw, d_exner, e, heatflux_output_conversion, hyp, km, kh, &
102	momentumflux_output_conversion, nc, ni, nr, p, prho, prr, pt, q, qc, qi, ql, qr, &
103	rho_air, rho_air_zw, rho_ocean, s, sa, u, ug, v, vg, vpt, w, w_subs, &
104	waterflux_output_conversion, zw
105
106	USE basic_constants_and_equations_mod, &
107	ONLY: g, lv_d_cp
108
109	USE bulk_cloud_model_mod, &
110	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert, microphysics_ice_phase
111
112	USE chem_modules, &
113	ONLY: max_pr_cs
114
115	USE control_parameters, &
116	ONLY: air_chemistry, average_count_pr, cloud_droplets, do_sum, dt_3d, humidity, &
117	initializing_actions, kolmogorov_length_scale, land_surface, large_scale_forcing, &
118	large_scale_subsidence, max_pr_salsa, max_pr_user, message_string, neutral, &
119	ocean_mode, passive_scalar, salsa, simulated_time, simulated_time_at_begin, &
120	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, ws_scheme_mom, &
121	ws_scheme_sca
122
123	USE cpulog, &
124	ONLY: cpu_log, log_point
125
126	USE grid_variables, &
127	ONLY: ddx, ddy
128
129	USE indices, &
130	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, nxl, nxr, nyn, nys, nzb, nzt, &
131	topo_min_level, wall_flags_total_0
132
133	#if defined( __parallel )
134	USE indices, &
135	ONLY: ngp_sums, ngp_sums_ls
136	#endif
137
138	USE kinds
139
140	USE land_surface_model_mod, &
141	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
142
143	USE lsf_nudging_mod, &
144	ONLY: td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert
145
146	USE module_interface, &
147	ONLY: module_interface_statistics
148
149	USE netcdf_interface, &
150	ONLY: dots_rad, dots_soil, dots_max
151
152	USE pegrid
153
154	USE radiation_model_mod, &
155	ONLY: radiation, radiation_scheme, &
156	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
157	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
158
159	USE statistics
160
161	USE surface_mod, &
162	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
163
164
165	IMPLICIT NONE
166
167	INTEGER(iwp) :: i !<
168	INTEGER(iwp) :: j !<
169	INTEGER(iwp) :: k !<
170	INTEGER(iwp) :: ki !<
171	INTEGER(iwp) :: k_surface_level !<
172	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
173	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
174	INTEGER(iwp) :: nt !<
175	!$ INTEGER(iwp) :: omp_get_thread_num !<
176	INTEGER(iwp) :: sr !<
177	INTEGER(iwp) :: tn !<
178
179	LOGICAL :: first !<
180
181	REAL(wp) :: dissipation !< dissipation rate
182	REAL(wp) :: dptdz_threshold !<
183	REAL(wp) :: du_dx !< Derivative of u fluctuations with respect to x
184	REAL(wp) :: du_dy !< Derivative of u fluctuations with respect to y
185	REAL(wp) :: du_dz !< Derivative of u fluctuations with respect to z
186	REAL(wp) :: dv_dx !< Derivative of v fluctuations with respect to x
187	REAL(wp) :: dv_dy !< Derivative of v fluctuations with respect to y
188	REAL(wp) :: dv_dz !< Derivative of v fluctuations with respect to z
189	REAL(wp) :: dw_dx !< Derivative of w fluctuations with respect to x
190	REAL(wp) :: dw_dy !< Derivative of w fluctuations with respect to y
191	REAL(wp) :: dw_dz !< Derivative of w fluctuations with respect to z
192	REAL(wp) :: eta !< Kolmogorov length scale
193	REAL(wp) :: fac !<
194	REAL(wp) :: flag !<
195	REAL(wp) :: height !<
196	REAL(wp) :: pts !<
197	REAL(wp) :: s11 !< fluctuating rate-of-strain tensor component 11
198	REAL(wp) :: s21 !< fluctuating rate-of-strain tensor component 21
199	REAL(wp) :: s31 !< fluctuating rate-of-strain tensor component 31
200	REAL(wp) :: s12 !< fluctuating rate-of-strain tensor component 12
201	REAL(wp) :: s22 !< fluctuating rate-of-strain tensor component 22
202	REAL(wp) :: s32 !< fluctuating rate-of-strain tensor component 32
203	REAL(wp) :: s13 !< fluctuating rate-of-strain tensor component 13
204	REAL(wp) :: s23 !< fluctuating rate-of-strain tensor component 23
205	REAL(wp) :: s33 !< fluctuating rate-of-strain tensor component 33
206	REAL(wp) :: sums_l_etot !<
207	REAL(wp) :: ust !<
208	REAL(wp) :: ust2 !<
209	REAL(wp) :: u2 !<
210	REAL(wp) :: vst !<
211	REAL(wp) :: vst2 !<
212	REAL(wp) :: v2 !<
213	REAL(wp) :: w2 !<
214
215	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
216	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
217
218
219	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
220
221
222	!
223	!-- To be on the safe side, check whether flow_statistics has already been called once after the
224	!-- current time step.
225	IF ( flow_statistics_called ) THEN
226
227	message_string = 'flow_statistics is called two times within one ' // 'timestep'
228	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
229
230	ENDIF
231
232	!
233	!-- Compute statistics for each (sub-)region
234	DO sr = 0, statistic_regions
235
236	!
237	!-- Initialize (local) summation array
238	sums_l = 0.0_wp
239	#ifdef _OPENACC
240	!$ACC KERNELS PRESENT(sums_l)
241	sums_l = 0.0_wp
242	!$ACC END KERNELS
243	#endif
244
245	!
246	!-- Store sums that have been computed in other subroutines in summation array
247	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
248	!-- WARNING: next line still has to be adjusted for OpenMP
249	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
250	heatflux_output_conversion ! heat flux from advec_s_bc
251	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
252	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
253
254	!
255	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-scale) vertical fluxes
256	!-- and velocity variances by using commonly-applied Reynolds-based methods
257	!-- ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) ) in combination with the 5th order advection scheme,
258	!-- pronounced artificial kinks could be observed in the vertical profiles near the surface.
259	!-- Please note: these kinks were not related to the model truth, i.e. these kinks are just
260	!-- related to an evaluation problem.
261	!-- In order avoid these kinks, vertical fluxes and horizontal as well vertical velocity
262	!-- variances are calculated directly within the advection routines, according to the numerical
263	!-- discretization, to evaluate the statistical quantities as they will appear within the
264	!-- prognostic equations.
265	!-- Copy the turbulent quantities, evaluated in the advection routines to the local array
266	!-- sums_l() for further computations.
267	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
268
269	!
270	!-- According to the Neumann bc for the horizontal velocity components, the corresponding
271	!-- fluxes has to satisfiy the same bc.
272	IF ( ocean_mode ) THEN
273	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
274	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
275	ENDIF
276
277	DO i = 0, threads_per_task-1
278	!
279	!-- Swap the turbulent quantities evaluated in advec_ws.
280	sums_l(:,13,i) = sums_wsus_ws_l(:,i) * momentumflux_output_conversion ! wu
281	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) * momentumflux_output_conversion ! wv
282	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
283	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
284	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
285	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
286	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + sums_ws2_ws_l(:,i) ) ! e*
287	ENDDO
288
289	ENDIF
290
291	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
292
293	DO i = 0, threads_per_task-1
294	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
295	* heatflux_output_conversion ! wpt
296	IF ( ocean_mode ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
297	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
298	* waterflux_output_conversion ! wq
299	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
300	ENDDO
301
302	ENDIF
303	!
304	!-- Horizontally averaged profiles of horizontal velocities and temperature.
305	!-- They must have been computed before, because they are already required for other horizontal
306	!-- averages.
307	tn = 0
308	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
309	!$ tn = omp_get_thread_num()
310	!$OMP DO
311	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag) &
312	!$ACC PRESENT(wall_flags_total_0, u, v, pt, rmask, sums_l)
313	DO i = nxl, nxr
314	DO j = nys, nyn
315	DO k = nzb, nzt+1
316	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
317	!$ACC ATOMIC
318	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) * flag
319	!$ACC ATOMIC
320	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) * flag
321	!$ACC ATOMIC
322	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) * flag
323	ENDDO
324	ENDDO
325	ENDDO
326	!$ACC UPDATE HOST(sums_l(:,1,tn), sums_l(:,2,tn), sums_l(:,4,tn))
327
328	!
329	!-- Horizontally averaged profile of salinity
330	IF ( ocean_mode ) THEN
331	!$OMP DO
332	DO i = nxl, nxr
333	DO j = nys, nyn
334	DO k = nzb, nzt+1
335	sums_l(k,23,tn) = sums_l(k,23,tn) + sa(k,j,i) &
336	* rmask(j,i,sr) &
337	* MERGE( 1.0_wp, 0.0_wp, &
338	BTEST( wall_flags_total_0(k,j,i), 22 ) )
339	ENDDO
340	ENDDO
341	ENDDO
342	ENDIF
343
344	!
345	!-- Horizontally averaged profiles of virtual potential temperature, total water content, water
346	!-- vapor mixing ratio and liquid water potential temperature
347	IF ( humidity ) THEN
348	!$OMP DO
349	DO i = nxl, nxr
350	DO j = nys, nyn
351	DO k = nzb, nzt+1
352	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
353	sums_l(k,44,tn) = sums_l(k,44,tn) + vpt(k,j,i) * rmask(j,i,sr) * flag
354	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr) * flag
355	ENDDO
356	ENDDO
357	ENDDO
358	IF ( bulk_cloud_model ) THEN
359	!$OMP DO
360	DO i = nxl, nxr
361	DO j = nys, nyn
362	DO k = nzb, nzt+1
363	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
364	sums_l(k,42,tn) = sums_l(k,42,tn) + &
365	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) * flag
366	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
367	pt(k,j,i) + lv_d_cp * d_exner(k) * ql(k,j,i) &
368	) * rmask(j,i,sr) * flag
369	ENDDO
370	ENDDO
371	ENDDO
372	ENDIF
373	ENDIF
374
375	!
376	!-- Horizontally averaged profiles of passive scalar
377	IF ( passive_scalar ) THEN
378	!$OMP DO
379	DO i = nxl, nxr
380	DO j = nys, nyn
381	DO k = nzb, nzt+1
382	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
383	* rmask(j,i,sr) &
384	* MERGE( 1.0_wp, 0.0_wp, &
385	BTEST( wall_flags_total_0(k,j,i), 22 ) )
386	ENDDO
387	ENDDO
388	ENDDO
389	ENDIF
390	!$OMP END PARALLEL
391	!
392	!-- Summation of thread sums
393	IF ( threads_per_task > 1 ) THEN
394	DO i = 1, threads_per_task-1
395	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
396	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
397	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
398	IF ( ocean_mode ) THEN
399	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
400	ENDIF
401	IF ( humidity ) THEN
402	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
403	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
404	IF ( bulk_cloud_model ) THEN
405	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
406	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
407	ENDIF
408	ENDIF
409	IF ( passive_scalar ) THEN
410	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
411	ENDIF
412	ENDDO
413	ENDIF
414
415	#if defined( __parallel )
416	!
417	!-- Compute total sum from local sums
418	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
419	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), 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,2,0), sums(nzb,2), 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,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
426	ierr )
427	IF ( ocean_mode ) THEN
428	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
429	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
430	ierr )
431	ENDIF
432	IF ( humidity ) THEN
433	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
434	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
435	ierr )
436	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
437	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
438	ierr )
439	IF ( bulk_cloud_model ) THEN
440	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
441	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, MPI_REAL, MPI_SUM, &
442	comm2d, ierr )
443	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
444	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, MPI_REAL, MPI_SUM, &
445	comm2d, ierr )
446	ENDIF
447	ENDIF
448
449	IF ( passive_scalar ) THEN
450	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
451	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, MPI_REAL, MPI_SUM, &
452	comm2d, ierr )
453	ENDIF
454	#else
455	sums(:,1) = sums_l(:,1,0)
456	sums(:,2) = sums_l(:,2,0)
457	sums(:,4) = sums_l(:,4,0)
458	IF ( ocean_mode ) sums(:,23) = sums_l(:,23,0)
459	IF ( humidity ) THEN
460	sums(:,44) = sums_l(:,44,0)
461	sums(:,41) = sums_l(:,41,0)
462	IF ( bulk_cloud_model ) THEN
463	sums(:,42) = sums_l(:,42,0)
464	sums(:,43) = sums_l(:,43,0)
465	ENDIF
466	ENDIF
467	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
468	#endif
469
470	!
471	!-- Final values are obtained by division by the total number of grid points used for summation.
472	!-- After that store profiles.
473	sums(:,1) = sums(:,1) / ngp_2dh(sr)
474	sums(:,2) = sums(:,2) / ngp_2dh(sr)
475	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
476	hom(:,1,1,sr) = sums(:,1) ! u
477	hom(:,1,2,sr) = sums(:,2) ! v
478	hom(:,1,4,sr) = sums(:,4) ! pt
479	!$ACC UPDATE DEVICE(hom(:,1,1,sr), hom(:,1,2,sr), hom(:,1,4,sr))
480
481
482	!
483	!-- Salinity
484	IF ( ocean_mode ) THEN
485	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
486	hom(:,1,23,sr) = sums(:,23) ! sa
487	ENDIF
488
489	!
490	!-- Humidity and cloud parameters
491	IF ( humidity ) THEN
492	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
493	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
494	hom(:,1,44,sr) = sums(:,44) ! vpt
495	hom(:,1,41,sr) = sums(:,41) ! qv (q)
496	IF ( bulk_cloud_model ) THEN
497	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
498	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
499	hom(:,1,42,sr) = sums(:,42) ! qv
500	hom(:,1,43,sr) = sums(:,43) ! pt
501	ENDIF
502	ENDIF
503
504	!
505	!-- Passive scalar
506	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / ngp_2dh_s_inner(:,sr) ! s
507
508	!
509	!-- Horizontally averaged profiles of the remaining prognostic variables, variances, the total
510	!-- and the perturbation energy (single values in last column of sums_l) and some diagnostic
511	!-- quantities.
512	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly speaking the following
513	!-- ---- k-loop would have to be split up and rearranged according to the staggered grid.
514	!-- However, this implies no error since staggered velocity components are zero at the
515	!-- walls and inside buildings.
516	tn = 0
517	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, &
518	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
519	!$OMP w2, flag, m, ki, l )
520	!$ tn = omp_get_thread_num()
521	!$OMP DO
522	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, m) &
523	!$ACC PRIVATE(sums_l_etot, flag, du_dx, du_dy, du_dz) &
524	!$ACC PRIVATE(dv_dx, dv_dy, dv_dz, dw_dx, dw_dy, dw_dz) &
525	!$ACC PRIVATE(s11, s21, s31, s12, s22, s32, s13, s23, s33) &
526	!$ACC PRIVATE(dissipation, eta) &
527	!$ACC PRESENT(wall_flags_total_0, rmask, momentumflux_output_conversion) &
528	!$ACC PRESENT(hom(:,1,1:2,sr), hom(:,1,4,sr)) &
529	!$ACC PRESENT(e, u, v, w, km, kh, p, pt) &
530	!$ACC PRESENT(ddx, ddy, ddzu, ddzw) &
531	!$ACC PRESENT(surf_def_h(0), surf_lsm_h(0), surf_usm_h(0)) &
532	!$ACC PRESENT(sums_l)
533	DO i = nxl, nxr
534	DO j = nys, nyn
535	sums_l_etot = 0.0_wp
536	DO k = nzb, nzt+1
537	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
538	!
539	!-- Prognostic and diagnostic variables
540	!$ACC ATOMIC
541	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) * flag
542	!$ACC ATOMIC
543	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) * flag
544	!$ACC ATOMIC
545	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) * flag
546	!$ACC ATOMIC
547	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) * flag
548	!$ACC ATOMIC
549	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
550	/ momentumflux_output_conversion(k) ) * flag
551
552	!$ACC ATOMIC
553	sums_l(k,33,tn) = sums_l(k,33,tn) + &
554	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr) * flag
555	#ifndef _OPENACC
556	IF ( humidity ) THEN
557	sums_l(k,70,tn) = sums_l(k,70,tn) + &
558	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr) * flag
559	ENDIF
560	IF ( passive_scalar ) THEN
561	sums_l(k,116,tn) = sums_l(k,116,tn) + &
562	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr) * flag
563	ENDIF
564	#endif
565	!
566	!-- Higher moments
567	!-- (Computation of the skewness of w further below)
568	!$ACC ATOMIC
569	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) * flag
570
571	sums_l_etot = sums_l_etot + 0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + w(k,j,i)**2 ) &
572	* rmask(j,i,sr) * flag
573
574	!
575	!-- Computation of the Kolmogorov length scale. Calculation is based on gradients of the
576	!-- deviations from the horizontal mean.
577	!-- Kolmogorov scale at the boundaries (k=0/z=0m and k=nzt+1) is set to zero.
578	IF ( kolmogorov_length_scale .AND. k /= nzb .AND. k /= nzt+1) THEN
579	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
580
581	!
582	!-- Calculate components of the fluctuating rate-of-strain tensor
583	!-- (0.5*(del u'_i/del x_j + del u'_j/del x_i)) defined in the center of each grid
584	!-- box.
585	du_dx = ( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
586	( u(k,j,i) - hom(k,1,1,sr) ) ) * ddx
587	du_dy = 0.25_wp * ddy * &
588	( ( u(k,j+1,i) - hom(k,1,1,sr) ) - &
589	( u(k,j-1,i) - hom(k,1,1,sr) ) + &
590	( u(k,j+1,i+1) - hom(k,1,1,sr) ) - &
591	( u(k,j-1,i+1) - hom(k,1,1,sr) ) )
592	du_dz = 0.25_wp * ( ( ( u(k+1,j,i) - hom(k+1,1,1,sr) ) - &
593	( u(k,j,i) - hom(k,1,1,sr) ) ) * &
594	ddzu(k+1) + &
595	( ( u(k,j,i) - hom(k,1,1,sr) ) - &
596	( u(k-1,j,i) - hom(k-1,1,1,sr) ) ) * &
597	ddzu(k) + &
598	( ( u(k+1,j,i+1) - hom(k+1,1,1,sr) ) - &
599	( u(k,j,i+1) - hom(k,1,1,sr) ) ) * &
600	ddzu(k+1) + &
601	( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
602	( u(k-1,j,i+1) - hom(k-1,1,1,sr) ) ) * &
603	ddzu(k) )
604
605	dv_dx = 0.25_wp * ddx * &
606	( ( v(k,j,i+1) - hom(k,1,2,sr) ) - &
607	( v(k,j,i-1) - hom(k,1,2,sr) ) + &
608	( v(k,j+1,i+1) - hom(k,1,2,sr) ) - &
609	( v(k,j+1,i-1) - hom(k,1,2,sr) ) )
610	dv_dy = ( ( v(k,j+1,i) - hom(k,1,2,sr) ) - ( v(k,j,i) - hom(k,1,2,sr) ) ) * ddy
611	dv_dz = 0.25_wp * ( ( ( v(k+1,j,i) - hom(k+1,1,2,sr) ) - &
612	( v(k,j,i) - hom(k,1,2,sr) ) ) * &
613	ddzu(k+1) + &
614	( ( v(k,j,i) - hom(k,1,2,sr) ) - &
615	( v(k-1,j,i) - hom(k-1,1,2,sr) ) ) * &
616	ddzu(k) + &
617	( ( v(k+1,j+1,i) - hom(k+1,1,2,sr) ) - &
618	( v(k,j+1,i) - hom(k,1,2,sr) ) ) * &
619	ddzu(k+1) + &
620	( ( v(k,j+1,i) - hom(k,1,2,sr) ) - &
621	( v(k-1,j+1,i) - hom(k-1,1,2,sr) ) ) * &
622	ddzu(k) )
623
624	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) )
625	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) )
626	dw_dz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
627
628	s11 = 0.5_wp * ( du_dx + du_dx )
629	s21 = 0.5_wp * ( dv_dx + du_dy )
630	s31 = 0.5_wp * ( dw_dx + du_dz )
631
632	s12 = s21
633	s22 = 0.5 * ( dv_dy + dv_dy )
634	s32 = 0.5 * ( dw_dy + dv_dz )
635
636	s13 = s31
637	s23 = s32
638	s33 = 0.5_wp * ( dw_dz + dw_dz )
639
640	!-- Calculate 3D instantaneous energy dissipation rate following Pope (2000):
641	!-- Turbulent flows, p.259. It is defined in the center of each grid volume.
642	dissipation = 2.0_wp * km(k,j,i) * &
643	( s11s11 + s21s21 + s31*s31 + &
644	s12s12 + s22s22 + s32*s32 + &
645	s13s13 + s23s23 + s33*s33 )
646	eta = ( km(k,j,i)3.0_wp / ( dissipation+1.0E-12 ) )(1.0_wp/4.0_wp)
647
648	!$ACC ATOMIC
649	sums_l(k,121,tn) = sums_l(k,121,tn) + eta * rmask(j,i,sr) * flag
650
651
652	ENDIF !Kolmogorov length scale
653
654	ENDDO !k-loop
655	!
656	!-- Total and perturbation energy for the total domain (being collected in the last column
657	!-- of sums_l). Summation of these quantities is seperated from the previous loop in order
658	!-- to allow vectorization of that loop.
659	!$ACC ATOMIC
660	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
661	!
662	!-- 2D-arrays (being collected in the last column of sums_l)
663	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
664	m = surf_def_h(0)%start_index(j,i)
665	!$ACC ATOMIC
666	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
667	surf_def_h(0)%us(m) * rmask(j,i,sr)
668	!$ACC ATOMIC
669	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
670	surf_def_h(0)%usws(m) * rmask(j,i,sr)
671	!$ACC ATOMIC
672	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
673	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
674	!$ACC ATOMIC
675	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
676	surf_def_h(0)%ts(m) * rmask(j,i,sr)
677	#ifndef _OPENACC
678	IF ( humidity ) THEN
679	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
680	surf_def_h(0)%qs(m) * rmask(j,i,sr)
681	ENDIF
682	IF ( passive_scalar ) THEN
683	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
684	surf_def_h(0)%ss(m) * rmask(j,i,sr)
685	ENDIF
686	#endif
687	!
688	!-- Summation of surface temperature.
689	!$ACC ATOMIC
690	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
691	surf_def_h(0)%pt_surface(m) * rmask(j,i,sr)
692	ENDIF
693	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
694	m = surf_lsm_h(0)%start_index(j,i)
695	!$ACC ATOMIC
696	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
697	surf_lsm_h(0)%us(m) * rmask(j,i,sr)
698	!$ACC ATOMIC
699	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
700	surf_lsm_h(0)%usws(m) * rmask(j,i,sr)
701	!$ACC ATOMIC
702	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
703	surf_lsm_h(0)%vsws(m) * rmask(j,i,sr)
704	!$ACC ATOMIC
705	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
706	surf_lsm_h(0)%ts(m) * rmask(j,i,sr)
707	#ifndef _OPENACC
708	IF ( humidity ) THEN
709	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
710	surf_lsm_h(0)%qs(m) * rmask(j,i,sr)
711	ENDIF
712	IF ( passive_scalar ) THEN
713	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
714	surf_lsm_h(0)%ss(m) * rmask(j,i,sr)
715	ENDIF
716	#endif
717	!
718	!-- Summation of surface temperature.
719	!$ACC ATOMIC
720	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
721	surf_lsm_h(0)%pt_surface(m) * rmask(j,i,sr)
722	ENDIF
723	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
724	m = surf_usm_h(0)%start_index(j,i)
725	!$ACC ATOMIC
726	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
727	surf_usm_h(0)%us(m) * rmask(j,i,sr)
728	!$ACC ATOMIC
729	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
730	surf_usm_h(0)%usws(m) * rmask(j,i,sr)
731	!$ACC ATOMIC
732	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
733	surf_usm_h(0)%vsws(m) * rmask(j,i,sr)
734	!$ACC ATOMIC
735	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
736	surf_usm_h(0)%ts(m) * rmask(j,i,sr)
737	#ifndef _OPENACC
738	IF ( humidity ) THEN
739	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
740	surf_usm_h(0)%qs(m) * rmask(j,i,sr)
741	ENDIF
742	IF ( passive_scalar ) THEN
743	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
744	surf_usm_h(0)%ss(m) * rmask(j,i,sr)
745	ENDIF
746	#endif
747	!
748	!-- Summation of surface temperature.
749	!$ACC ATOMIC
750	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
751	surf_usm_h(0)%pt_surface(m) * rmask(j,i,sr)
752	ENDIF
753	ENDDO !j-loop
754	ENDDO !i-loop
755	!$ACC UPDATE &
756	!$ACC HOST(sums_l(:,3,tn), sums_l(:,8,tn), sums_l(:,9,tn)) &
757	!$ACC HOST(sums_l(:,10,tn), sums_l(:,40,tn), sums_l(:,33,tn)) &
758	!$ACC HOST(sums_l(:,38,tn), sums_l(:,121,tn)) &
759	!$ACC HOST(sums_l(nzb:nzb+4,pr_palm,tn), sums_l(nzb+14:nzb+14,pr_palm,tn))
760
761	!
762	!-- Computation of statistics when ws-scheme is not used. Else these
763	!-- quantities are evaluated in the advection routines.
764	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) THEN
765	!$OMP DO
766	DO i = nxl, nxr
767	DO j = nys, nyn
768	DO k = nzb, nzt+1
769	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
770
771	u2 = u(k,j,i)**2
772	v2 = v(k,j,i)**2
773	w2 = w(k,j,i)**2
774	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
775	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
776
777	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) * flag
778	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) * flag
779	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) * flag
780	!
781	!-- Perturbation energy
782	sums_l(k,34,tn) = sums_l(k,34,tn) + &
783	0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * flag
784	ENDDO
785	ENDDO
786	ENDDO
787	ENDIF
788	!
789	!-- Computaion of domain-averaged perturbation energy. Please note, to prevent that perturbation
790	!-- energy is larger (even if only slightly) than the total kinetic energy, calculation is based
791	!-- on deviations from the horizontal mean, instead of spatial descretization of the advection
792	!-- term.
793	!$OMP DO
794	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag, w2, ust2, vst2) &
795	!$ACC PRESENT(wall_flags_total_0, u, v, w, rmask, hom(:,1,1:2,sr)) &
796	!$ACC PRESENT(sums_l)
797	DO i = nxl, nxr
798	DO j = nys, nyn
799	DO k = nzb, nzt+1
800	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
801
802	w2 = w(k,j,i)**2
803	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
804	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
805	w2 = w(k,j,i)**2
806
807	!$ACC ATOMIC
808	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
809	+ 0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * flag
810
811	ENDDO
812	ENDDO
813	ENDDO
814	!$ACC UPDATE HOST(sums_l(nzb+5:nzb+5,pr_palm,tn))
815
816	!
817	!-- Horizontally averaged profiles of the vertical fluxes
818	!$OMP DO
819	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) &
820	!$ACC PRIVATE(ki, flag, ust, vst, pts) &
821	!$ACC PRESENT(kh, km, u, v, w, pt) &
822	!$ACC PRESENT(wall_flags_total_0, rmask, ddzu, rho_air_zw, hom(:,1,1:4,sr)) &
823	!$ACC PRESENT(heatflux_output_conversion, momentumflux_output_conversion) &
824	!$ACC PRESENT(surf_def_h(0:2), surf_lsm_h(0:1), surf_usm_h(0:1)) &
825	!$ACC PRESENT(sums_l)
826	DO i = nxl, nxr
827	DO j = nys, nyn
828	!
829	!-- Subgridscale fluxes (without Prandtl layer from k=nzb, oterwise from k=nzb+1)
830	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although strictly speaking the
831	!-- ---- following k-loop would have to be split up according to the staggered grid.
832	!-- However, this implies no error since staggered velocity components are zero at
833	!-- the walls and inside buildings.
834	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes, which are added
835	!-- further below.
836	DO k = nzb, nzt
837	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
838	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
839	!
840	!-- Momentum flux w"u"
841	!$ACC ATOMIC
842	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
843	km(k,j,i) + km(k+1,j,i) + km(k,j,i-1) + km(k+1,j,i-1) &
844	) * ( &
845	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
846	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
847	) * rmask(j,i,sr) &
848	* rho_air_zw(k) &
849	* momentumflux_output_conversion(k) &
850	* flag
851	!
852	!-- Momentum flux w"v"
853	!$ACC ATOMIC
854	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
855	km(k,j,i) + km(k+1,j,i) + km(k,j-1,i) + km(k+1,j-1,i) &
856	) * ( &
857	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
858	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
859	) * rmask(j,i,sr) &
860	* rho_air_zw(k) &
861	* momentumflux_output_conversion(k) &
862	* flag
863	!
864	!-- Heat flux w"pt"
865	!$ACC ATOMIC
866	sums_l(k,16,tn) = sums_l(k,16,tn) &
867	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
868	* ( pt(k+1,j,i) - pt(k,j,i) ) &
869	* rho_air_zw(k) &
870	* heatflux_output_conversion(k) &
871	* ddzu(k+1) * rmask(j,i,sr) &
872	* flag
873
874	!
875	!-- Salinity flux w"sa"
876	#ifndef _OPENACC
877	IF ( ocean_mode ) THEN
878	sums_l(k,65,tn) = sums_l(k,65,tn) &
879	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
880	* ( sa(k+1,j,i) - sa(k,j,i) ) &
881	* ddzu(k+1) * rmask(j,i,sr) &
882	* flag
883	ENDIF
884
885	!
886	!-- Buoyancy flux, water flux (humidity flux) w"q"
887	IF ( humidity ) THEN
888	sums_l(k,45,tn) = sums_l(k,45,tn) &
889	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
890	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
891	* rho_air_zw(k) &
892	* heatflux_output_conversion(k) &
893	* ddzu(k+1) * rmask(j,i,sr) * flag
894	sums_l(k,48,tn) = sums_l(k,48,tn) &
895	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
896	* ( q(k+1,j,i) - q(k,j,i) ) &
897	* rho_air_zw(k) &
898	* waterflux_output_conversion(k) &
899	* ddzu(k+1) * rmask(j,i,sr) * flag
900
901	IF ( bulk_cloud_model ) THEN
902	sums_l(k,51,tn) = sums_l(k,51,tn) &
903	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
904	* ( ( q(k+1,j,i) - ql(k+1,j,i) ) &
905	- ( q(k,j,i) - ql(k,j,i) ) ) &
906	* rho_air_zw(k) &
907	* waterflux_output_conversion(k) &
908	* ddzu(k+1) * rmask(j,i,sr) * flag
909	ENDIF
910	ENDIF
911
912	!
913	!-- Passive scalar flux
914	IF ( passive_scalar ) THEN
915	sums_l(k,117,tn) = sums_l(k,117,tn) &
916	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
917	* ( s(k+1,j,i) - s(k,j,i) ) &
918	* ddzu(k+1) * rmask(j,i,sr) &
919	* flag
920	ENDIF
921	#endif
922
923	ENDDO
924
925	!
926	!-- Subgridscale fluxes in the Prandtl layer
927	IF ( use_surface_fluxes ) THEN
928	DO l = 0, 1
929	! The original code using MERGE doesn't work with the PGI
930	! compiler when running on the GPU.
931	! This is submitted as a compiler Bug in PGI ticket TPR#26718
932	! ki = MERGE( -1, 0, l == 0 )
933	ki = -1 + l
934	IF ( surf_def_h(l)%ns >= 1 ) THEN
935	DO m = surf_def_h(l)%start_index(j,i), &
936	surf_def_h(l)%end_index(j,i)
937	k = surf_def_h(l)%k(m)
938
939	!$ACC ATOMIC
940	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
941	momentumflux_output_conversion(k+ki) * &
942	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
943	!$ACC ATOMIC
944	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
945	momentumflux_output_conversion(k+ki) * &
946	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
947	!$ACC ATOMIC
948	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
949	heatflux_output_conversion(k+ki) * &
950	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
951	#if 0
952	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
953	0.0_wp * rmask(j,i,sr) ! u"pt"
954	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
955	0.0_wp * rmask(j,i,sr) ! v"pt"
956	#endif
957	#ifndef _OPENACC
958	IF ( ocean_mode ) THEN
959	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
960	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
961	ENDIF
962	IF ( humidity ) THEN
963	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
964	waterflux_output_conversion(k+ki) * &
965	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
966	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
967	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
968	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
969	surf_def_h(l)%qsws(m) ) &
970	* heatflux_output_conversion(k+ki)
971	IF ( cloud_droplets ) THEN
972	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
973	( 1.0_wp + 0.61_wp * q(k+ki,j,i) - &
974	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
975	0.61_wp * pt(k+ki,j,i) &
976	* surf_def_h(l)%qsws(m) ) &
977	* heatflux_output_conversion(k+ki)
978	ENDIF
979	IF ( bulk_cloud_model ) THEN
980	!
981	!-- Formula does not work if ql(k+ki) /= 0.0
982	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
983	waterflux_output_conversion(k+ki) * &
984	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
985	ENDIF
986	ENDIF
987	IF ( passive_scalar ) THEN
988	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
989	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
990	ENDIF
991	#endif
992
993	ENDDO
994
995	ENDIF
996	IF ( surf_lsm_h(l)%end_index(j,i) >= surf_lsm_h(l)%start_index(j,i) ) THEN
997	m = surf_lsm_h(l)%start_index(j,i)
998	!$ACC ATOMIC
999	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1000	momentumflux_output_conversion(nzb) * &
1001	surf_lsm_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
1002	!$ACC ATOMIC
1003	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1004	momentumflux_output_conversion(nzb) * &
1005	surf_lsm_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
1006	!$ACC ATOMIC
1007	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1008	heatflux_output_conversion(nzb) * &
1009	surf_lsm_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1010	#if 0
1011	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1012	0.0_wp * rmask(j,i,sr) ! u"pt"
1013	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1014	0.0_wp * rmask(j,i,sr) ! v"pt"
1015	#endif
1016	#ifndef _OPENACC
1017	IF ( ocean_mode ) THEN
1018	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1019	surf_lsm_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1020	ENDIF
1021	IF ( humidity ) THEN
1022	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1023	waterflux_output_conversion(nzb) * &
1024	surf_lsm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1025	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1026	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * surf_lsm_h(l)%shf(m) + &
1027	0.61_wp * pt(nzb,j,i) * surf_lsm_h(l)%qsws(m) ) &
1028	* heatflux_output_conversion(nzb)
1029	IF ( cloud_droplets ) THEN
1030	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1031	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1032	ql(nzb,j,i) ) * surf_lsm_h(l)%shf(m) + &
1033	0.61_wp * pt(nzb,j,i) * surf_lsm_h(l)%qsws(m) ) &
1034	* heatflux_output_conversion(nzb)
1035	ENDIF
1036	IF ( bulk_cloud_model ) THEN
1037	!
1038	!-- Formula does not work if ql(nzb) /= 0.0
1039	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1040	waterflux_output_conversion(nzb) * &
1041	surf_lsm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1042	ENDIF
1043	ENDIF
1044	IF ( passive_scalar ) THEN
1045	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1046	surf_lsm_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1047	ENDIF
1048	#endif
1049
1050	ENDIF
1051	IF ( surf_usm_h(l)%end_index(j,i) >= surf_usm_h(l)%start_index(j,i) ) THEN
1052	m = surf_usm_h(l)%start_index(j,i)
1053	!$ACC ATOMIC
1054	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1055	momentumflux_output_conversion(nzb) * &
1056	surf_usm_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
1057	!$ACC ATOMIC
1058	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1059	momentumflux_output_conversion(nzb) * &
1060	surf_usm_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
1061	!$ACC ATOMIC
1062	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1063	heatflux_output_conversion(nzb) * &
1064	surf_usm_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1065	#if 0
1066	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + 0.0_wp * rmask(j,i,sr) ! u"pt"
1067	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + 0.0_wp * rmask(j,i,sr) ! v"pt"
1068	#endif
1069	#ifndef _OPENACC
1070	IF ( ocean_mode ) THEN
1071	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1072	surf_usm_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1073	ENDIF
1074	IF ( humidity ) THEN
1075	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1076	waterflux_output_conversion(nzb) * &
1077	surf_usm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1078	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1079	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1080	surf_usm_h(l)%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1081	surf_usm_h(l)%qsws(m) ) &
1082	* heatflux_output_conversion(nzb)
1083	IF ( cloud_droplets ) THEN
1084	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1085	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1086	ql(nzb,j,i) ) * surf_usm_h(l)%shf(m) + &
1087	0.61_wp * pt(nzb,j,i) * surf_usm_h(l)%qsws(m) ) &
1088	* heatflux_output_conversion(nzb)
1089	ENDIF
1090	IF ( bulk_cloud_model ) THEN
1091	!
1092	!-- Formula does not work if ql(nzb) /= 0.0
1093	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1094	waterflux_output_conversion(nzb) * &
1095	surf_usm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1096	ENDIF
1097	ENDIF
1098	IF ( passive_scalar ) THEN
1099	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1100	surf_usm_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1101	ENDIF
1102	#endif
1103
1104	ENDIF
1105	ENDDO
1106	ENDIF
1107
1108	#ifndef _OPENACC
1109	IF ( .NOT. neutral ) THEN
1110	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1111	m = surf_def_h(0)%start_index(j,i)
1112	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1113	ENDIF
1114	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1115	m = surf_lsm_h(0)%start_index(j,i)
1116	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_lsm_h(0)%ol(m) * rmask(j,i,sr) ! L
1117	ENDIF
1118	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1119	m = surf_usm_h(0)%start_index(j,i)
1120	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_usm_h(0)%ol(m) * rmask(j,i,sr) ! L
1121	ENDIF
1122	ENDIF
1123
1124	IF ( radiation ) THEN
1125	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1126	m = surf_def_h(0)%start_index(j,i)
1127	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1128	surf_def_h(0)%rad_net(m) * rmask(j,i,sr)
1129	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1130	surf_def_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1131	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1132	surf_def_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1133	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1134	surf_def_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1135	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1136	surf_def_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1137	ENDIF
1138	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1139	m = surf_lsm_h(0)%start_index(j,i)
1140	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1141	surf_lsm_h(0)%rad_net(m) * rmask(j,i,sr)
1142	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1143	surf_lsm_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1144	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1145	surf_lsm_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1146	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1147	surf_lsm_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1148	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1149	surf_lsm_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1150	ENDIF
1151	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1152	m = surf_usm_h(0)%start_index(j,i)
1153	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1154	surf_usm_h(0)%rad_net(m) * rmask(j,i,sr)
1155	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1156	surf_usm_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1157	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1158	surf_usm_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1159	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1160	surf_usm_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1161	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1162	surf_usm_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1163	ENDIF
1164
1165	#if defined ( __rrtmg )
1166	IF ( radiation_scheme == 'rrtmg' ) THEN
1167
1168	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1169	m = surf_def_h(0)%start_index(j,i)
1170	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1171	surf_def_h(0)%rrtm_aldif(m,0) * rmask(j,i,sr)
1172	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1173	surf_def_h(0)%rrtm_aldir(m,0) * rmask(j,i,sr)
1174	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1175	surf_def_h(0)%rrtm_asdif(m,0) * rmask(j,i,sr)
1176	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1177	surf_def_h(0)%rrtm_asdir(m,0) * rmask(j,i,sr)
1178	ENDIF
1179	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1180	m = surf_lsm_h(0)%start_index(j,i)
1181	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1182	SUM( surf_lsm_h(0)%frac(m,:) * &
1183	surf_lsm_h(0)%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1184	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1185	SUM( surf_lsm_h(0)%frac(m,:) * &
1186	surf_lsm_h(0)%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1187	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1188	SUM( surf_lsm_h(0)%frac(m,:) * &
1189	surf_lsm_h(0)%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1190	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1191	SUM( surf_lsm_h(0)%frac(m,:) * &
1192	surf_lsm_h(0)%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1193	ENDIF
1194	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1195	m = surf_usm_h(0)%start_index(j,i)
1196	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1197	SUM( surf_usm_h(0)%frac(m,:) * &
1198	surf_usm_h(0)%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1199	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1200	SUM( surf_usm_h(0)%frac(m,:) * &
1201	surf_usm_h(0)%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1202	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1203	SUM( surf_usm_h(0)%frac(m,:) * &
1204	surf_usm_h(0)%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1205	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1206	SUM( surf_usm_h(0)%frac(m,:) * &
1207	surf_usm_h(0)%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1208	ENDIF
1209
1210	ENDIF
1211	#endif
1212	ENDIF
1213	#endif
1214	!
1215	!-- Subgridscale fluxes at the top surface
1216	IF ( use_top_fluxes ) THEN
1217	m = surf_def_h(2)%start_index(j,i)
1218	!$ACC ATOMIC
1219	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
1220	momentumflux_output_conversion(nzt) * &
1221	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1222	!$ACC ATOMIC
1223	sums_l(nzt+1,12,tn) = sums_l(nzt+1,12,tn) + &
1224	momentumflux_output_conversion(nzt+1) * &
1225	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1226	!$ACC ATOMIC
1227	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
1228	momentumflux_output_conversion(nzt) * &
1229	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1230	!$ACC ATOMIC
1231	sums_l(nzt+1,14,tn) = sums_l(nzt+1,14,tn) + &
1232	momentumflux_output_conversion(nzt+1) * &
1233	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1234	!$ACC ATOMIC
1235	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
1236	heatflux_output_conversion(nzt) * &
1237	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1238	!$ACC ATOMIC
1239	sums_l(nzt+1,16,tn) = sums_l(nzt+1,16,tn) + &
1240	heatflux_output_conversion(nzt+1) * &
1241	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1242	#if 0
1243	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1244	0.0_wp * rmask(j,i,sr) ! u"pt"
1245	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1246	0.0_wp * rmask(j,i,sr) ! v"pt"
1247	#endif
1248	#ifndef _OPENACC
1249	IF ( ocean_mode ) THEN
1250	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1251	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1252	ENDIF
1253	IF ( humidity ) THEN
1254	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1255	waterflux_output_conversion(nzt) * &
1256	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1257	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1258	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
1259	surf_def_h(2)%shf(m) + &
1260	0.61_wp * pt(nzt,j,i) * &
1261	surf_def_h(2)%qsws(m) ) &
1262	* heatflux_output_conversion(nzt)
1263	IF ( cloud_droplets ) THEN
1264	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1265	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1266	ql(nzt,j,i) ) * &
1267	surf_def_h(2)%shf(m) + &
1268	0.61_wp * pt(nzt,j,i) * &
1269	surf_def_h(2)%qsws(m) ) &
1270	* heatflux_output_conversion(nzt)
1271	ENDIF
1272	IF ( bulk_cloud_model ) THEN
1273	!
1274	!-- Formula does not work if ql(nzb) /= 0.0
1275	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1276	waterflux_output_conversion(nzt) * &
1277	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1278	ENDIF
1279	ENDIF
1280	IF ( passive_scalar ) THEN
1281	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1282	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1283	ENDIF
1284	#endif
1285	ENDIF
1286
1287	!
1288	!-- Resolved fluxes (can be computed for all horizontal points)
1289	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly speaking the
1290	!-- ---- following k-loop would have to be split up and rearranged according to the
1291	!-- staggered grid.
1292	DO k = nzb, nzt
1293	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
1294	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1295	u(k+1,j,i) - hom(k+1,1,1,sr) )
1296	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1297	v(k+1,j,i) - hom(k+1,1,2,sr) )
1298	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1299	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1300	!
1301	!-- Higher moments
1302	!$ACC ATOMIC
1303	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 rmask(j,i,sr) * flag
1304	!$ACC ATOMIC
1305	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * rmask(j,i,sr) * flag
1306
1307	!
1308	!-- Salinity flux and density (density does not belong to here, but so far there is no
1309	!-- other suitable place to calculate)
1310	#ifndef _OPENACC
1311	IF ( ocean_mode ) THEN
1312	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1313	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1314	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1315	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1316	rmask(j,i,sr) * flag
1317	ENDIF
1318	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * rmask(j,i,sr) * flag
1319	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * rmask(j,i,sr) * flag
1320	ENDIF
1321
1322	!
1323	!-- Buoyancy flux, water flux, humidity flux, liquid water content, rain drop
1324	!-- concentration and rain water content
1325	IF ( humidity ) THEN
1326	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
1327	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1328	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1329	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1330	rho_air_zw(k) * &
1331	heatflux_output_conversion(k) * &
1332	rmask(j,i,sr) * flag
1333	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) * flag
1334
1335	IF ( .NOT. cloud_droplets ) THEN
1336	pts = 0.5_wp * &
1337	( ( q(k,j,i) - ql(k,j,i) ) - &
1338	hom(k,1,42,sr) + &
1339	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1340	hom(k+1,1,42,sr) )
1341	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1342	rho_air_zw(k) * &
1343	waterflux_output_conversion(k) * &
1344	rmask(j,i,sr) * flag
1345	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * rmask(j,i,sr) * flag
1346	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * rmask(j,i,sr) * flag
1347	IF ( microphysics_morrison ) THEN
1348	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * rmask(j,i,sr) * flag
1349	ENDIF
1350	IF ( microphysics_ice_phase ) THEN
1351	sums_l(k,124,tn) = sums_l(k,124,tn) + ni(k,j,i) * rmask(j,i,sr) * flag
1352	sums_l(k,125,tn) = sums_l(k,125,tn) + qi(k,j,i) * rmask(j,i,sr) * flag
1353	ENDIF
1354
1355	IF ( microphysics_seifert ) THEN
1356	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * rmask(j,i,sr) * flag
1357	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * rmask(j,i,sr) * flag
1358	ENDIF
1359	ENDIF
1360
1361	ELSE
1362	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1363	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1364	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1365	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1366	rho_air_zw(k) * &
1367	heatflux_output_conversion(k) * &
1368	rmask(j,i,sr) * flag
1369	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1370	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1371	hom(k,1,41,sr) ) * &
1372	sums_l(k,17,tn) + &
1373	0.61_wp * hom(k,1,4,sr) * &
1374	sums_l(k,49,tn) &
1375	) * heatflux_output_conversion(k) * flag
1376	END IF
1377	END IF
1378	ENDIF
1379	!
1380	!-- Passive scalar flux
1381	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca .OR. sr /= 0 ) ) THEN
1382	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1383	s(k+1,j,i) - hom(k+1,1,115,sr) )
1384	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * rmask(j,i,sr) * flag
1385	ENDIF
1386	#endif
1387
1388	!
1389	!-- Energy flux we
1390	!-- has to be adjusted
1391	!$ACC ATOMIC
1392	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1393	( ust2 + vst2 + w(k,j,i)**2 ) &
1394	* rho_air_zw(k) &
1395	* momentumflux_output_conversion(k) &
1396	* rmask(j,i,sr) * flag
1397	ENDDO
1398	ENDDO
1399	ENDDO
1400	!$OMP END PARALLEL
1401
1402	!$ACC UPDATE &
1403	!$ACC HOST(sums_l(:,12,tn), sums_l(:,14,tn), sums_l(:,16,tn)) &
1404	!$ACC HOST(sums_l(:,35,tn), sums_l(:,36,tn), sums_l(:,37,tn))
1405	!
1406	!-- Treat land-surface quantities according to new wall model structure.
1407	IF ( land_surface ) THEN
1408	tn = 0
1409	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1410	!$ tn = omp_get_thread_num()
1411	!$OMP DO
1412	DO m = 1, surf_lsm_h(0)%ns
1413	i = surf_lsm_h(0)%i(m)
1414	j = surf_lsm_h(0)%j(m)
1415
1416	IF ( i >= nxl .AND. i <= nxr .AND. j >= nys .AND. j <= nyn ) THEN
1417	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h(0)%ghf(m) * rmask(j,i,sr)
1418	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h(0)%qsws_liq(m) * rmask(j,i,sr)
1419	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h(0)%qsws_soil(m) * rmask(j,i,sr)
1420	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h(0)%qsws_veg(m) * rmask(j,i,sr)
1421	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h(0)%r_a(m) * rmask(j,i,sr)
1422	sums_l(nzb,98,tn) = sums_l(nzb,98,tn) + surf_lsm_h(0)%r_s(m) * rmask(j,i,sr)
1423	ENDIF
1424	ENDDO
1425	!$OMP END PARALLEL
1426
1427	tn = 0
1428	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1429	!$ tn = omp_get_thread_num()
1430	!$OMP DO
1431	DO m = 1, surf_lsm_h(0)%ns
1432
1433	i = surf_lsm_h(0)%i(m)
1434	j = surf_lsm_h(0)%j(m)
1435
1436	IF ( i >= nxl .AND. i <= nxr .AND. j >= nys .AND. j <= nyn ) THEN
1437
1438	DO k = nzb_soil, nzt_soil
1439	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h(0)%var_2d(k,m) * rmask(j,i,sr)
1440	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h(0)%var_2d(k,m) * rmask(j,i,sr)
1441	ENDDO
1442	ENDIF
1443	ENDDO
1444	!$OMP END PARALLEL
1445	ENDIF
1446	!
1447	!-- For speed optimization fluxes which have been computed in part directly inside the WS
1448	!-- advection routines are treated seperatly.
1449	!-- Momentum fluxes first:
1450
1451	tn = 0
1452	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
1453	!$ tn = omp_get_thread_num()
1454	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1455	!$OMP DO
1456	DO i = nxl, nxr
1457	DO j = nys, nyn
1458	DO k = nzb, nzt
1459	!
1460	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes, which are
1461	!-- added further below.
1462	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1463	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
1464
1465	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1466	u(k+1,j,i) - hom(k+1,1,1,sr) )
1467	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1468	v(k+1,j,i) - hom(k+1,1,2,sr) )
1469	!
1470	!-- Momentum flux wu
1471	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
1472	( w(k,j,i-1) + w(k,j,i) ) &
1473	* rho_air_zw(k) &
1474	* momentumflux_output_conversion(k) &
1475	* ust * rmask(j,i,sr) &
1476	* flag
1477	!
1478	!-- Momentum flux wv
1479	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * ( w(k,j-1,i) + w(k,j,i) ) &
1480	* rho_air_zw(k) &
1481	* momentumflux_output_conversion(k) &
1482	* vst * rmask(j,i,sr) &
1483	* flag
1484	ENDDO
1485	ENDDO
1486	ENDDO
1487
1488	ENDIF
1489	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1490	!$OMP DO
1491	DO i = nxl, nxr
1492	DO j = nys, nyn
1493	DO k = nzb, nzt
1494	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1495	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
1496	!
1497	!-- Vertical heat flux
1498	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1499	( pt(k,j,i) - hom(k,1,4,sr) + &
1500	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1501	* rho_air_zw(k) &
1502	* heatflux_output_conversion(k) &
1503	* w(k,j,i) * rmask(j,i,sr) * flag
1504	IF ( humidity ) THEN
1505	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1506	q(k+1,j,i) - hom(k+1,1,41,sr) )
1507	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1508	rho_air_zw(k) * &
1509	waterflux_output_conversion(k) * &
1510	rmask(j,i,sr) * flag
1511	ENDIF
1512	IF ( passive_scalar ) THEN
1513	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1514	s(k+1,j,i) - hom(k+1,1,115,sr) )
1515	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * rmask(j,i,sr) * flag
1516	ENDIF
1517	ENDDO
1518	ENDDO
1519	ENDDO
1520
1521	ENDIF
1522
1523	!
1524	!-- Density at top follows Neumann condition
1525	IF ( ocean_mode ) THEN
1526	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1527	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1528	ENDIF
1529
1530	!
1531	!-- Divergence of vertical flux of resolved scale energy and pressure fluctuations as well as
1532	!-- flux of pressure fluctuation itself (68).
1533	!-- First calculate the products, then the divergence.
1534	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1535	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) THEN
1536	sums_ll = 0.0_wp ! local array
1537
1538	!$OMP DO
1539	DO i = nxl, nxr
1540	DO j = nys, nyn
1541	DO k = nzb+1, nzt
1542	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1543
1544	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1545	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1546	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2 &
1547	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1548	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2 &
1549	+ w(k,j,i)*2 ) flag * rmask(j,i,sr)
1550
1551	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1552	* ( ( p(k,j,i) + p(k+1,j,i) ) &
1553	/ momentumflux_output_conversion(k) ) &
1554	* flag * rmask(j,i,sr)
1555
1556	ENDDO
1557	ENDDO
1558	ENDDO
1559	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1560	sums_ll(nzt+1,1) = 0.0_wp
1561	sums_ll(0,2) = 0.0_wp
1562	sums_ll(nzt+1,2) = 0.0_wp
1563
1564	DO k = nzb+1, nzt
1565	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1566	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1567	sums_l(k,68,tn) = sums_ll(k,2)
1568	ENDDO
1569	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1570	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1571	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1572
1573	ENDIF
1574
1575	!
1576	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1577	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) THEN
1578	!$OMP DO
1579	DO i = nxl, nxr
1580	DO j = nys, nyn
1581	DO k = nzb+1, nzt
1582
1583	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1584
1585	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1586	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1587	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1588	) * ddzw(k) &
1589	* flag * rmask(j,i,sr)
1590
1591	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1592	( km(k,j,i) + km(k+1,j,i) ) * &
1593	( e(k+1,j,i) - e(k,j,i) ) * ddzu(k+1) &
1594	) * flag * rmask(j,i,sr)
1595
1596	ENDDO
1597	ENDDO
1598	ENDDO
1599	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1600	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1601
1602	ENDIF
1603
1604	!
1605	!-- Horizontal heat fluxes (subgrid, resolved, total).
1606	!-- Do it only, if profiles shall be plotted.
1607	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1608
1609	!$OMP DO
1610	DO i = nxl, nxr
1611	DO j = nys, nyn
1612	DO k = nzb+1, nzt
1613	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1614	!
1615	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1616	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1617	( kh(k,j,i) + kh(k,j,i-1) ) &
1618	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1619	* rho_air_zw(k) &
1620	* heatflux_output_conversion(k) &
1621	* ddx * rmask(j,i,sr) * flag
1622	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1623	( kh(k,j,i) + kh(k,j-1,i) ) &
1624	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1625	* rho_air_zw(k) &
1626	* heatflux_output_conversion(k) &
1627	* ddy * rmask(j,i,sr) * flag
1628	!
1629	!-- Resolved horizontal heat fluxes upt, vpt
1630	sums_l(k,59,tn) = sums_l(k,59,tn) + ( u(k,j,i) - hom(k,1,1,sr) ) &
1631	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1632	pt(k,j,i) - hom(k,1,4,sr) ) &
1633	* heatflux_output_conversion(k) &
1634	* flag
1635	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1636	pt(k,j,i) - hom(k,1,4,sr) )
1637	sums_l(k,62,tn) = sums_l(k,62,tn) + ( v(k,j,i) - hom(k,1,2,sr) ) &
1638	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1639	pt(k,j,i) - hom(k,1,4,sr) ) &
1640	* heatflux_output_conversion(k) &
1641	* flag
1642	ENDDO
1643	ENDDO
1644	ENDDO
1645	!
1646	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1647	sums_l(nzb,58,tn) = 0.0_wp
1648	sums_l(nzb,59,tn) = 0.0_wp
1649	sums_l(nzb,60,tn) = 0.0_wp
1650	sums_l(nzb,61,tn) = 0.0_wp
1651	sums_l(nzb,62,tn) = 0.0_wp
1652	sums_l(nzb,63,tn) = 0.0_wp
1653
1654	ENDIF
1655	!$OMP END PARALLEL
1656
1657	!
1658	!-- Collect current large scale advection and subsidence tendencies for
1659	!-- data output
1660	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1661	!
1662	!-- Interpolation in time of LSF_DATA
1663	nt = 1
1664	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1665	nt = nt + 1
1666	ENDDO
1667	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1668	nt = nt - 1
1669	ENDIF
1670
1671	fac = ( simulated_time - dt_3d - time_vert(nt) ) / ( time_vert(nt+1)-time_vert(nt) )
1672
1673
1674	DO k = nzb, nzt
1675	sums_ls_l(k,0) = td_lsa_lpt(k,nt) + fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1676	sums_ls_l(k,1) = td_lsa_q(k,nt) + fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1677	ENDDO
1678
1679	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1680	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1681
1682	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1683
1684	DO k = nzb, nzt
1685	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * ( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1686	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * ( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1687	ENDDO
1688
1689	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1690	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1691
1692	ENDIF
1693
1694	ENDIF
1695
1696	tn = 0
1697	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1698	!$ tn = omp_get_thread_num()
1699	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1700	!$OMP DO
1701	DO i = nxl, nxr
1702	DO j = nys, nyn
1703	DO k = nzb+1, nzt+1
1704	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1705
1706	sums_l(k,100,tn) = sums_l(k,100,tn) + rad_lw_in(k,j,i) * rmask(j,i,sr) * flag
1707	sums_l(k,101,tn) = sums_l(k,101,tn) + rad_lw_out(k,j,i) * rmask(j,i,sr) * flag
1708	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_sw_in(k,j,i) * rmask(j,i,sr) * flag
1709	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_sw_out(k,j,i) * rmask(j,i,sr) * flag
1710	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_lw_cs_hr(k,j,i) * rmask(j,i,sr) * flag
1711	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_lw_hr(k,j,i) * rmask(j,i,sr) * flag
1712	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_sw_cs_hr(k,j,i) * rmask(j,i,sr) * flag
1713	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_sw_hr(k,j,i) * rmask(j,i,sr) * flag
1714	ENDDO
1715	ENDDO
1716	ENDDO
1717	ENDIF
1718
1719	!
1720	!-- Calculate the profiles for all other modules
1721	CALL module_interface_statistics( 'profiles', sr, tn, dots_max )
1722	!$OMP END PARALLEL
1723
1724	!
1725	!-- Summation of thread sums
1726	IF ( threads_per_task > 1 ) THEN
1727	DO i = 1, threads_per_task-1
1728	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1729	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1730	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1731	sums_l(:,45:pr_palm,i)
1732	IF ( max_pr_user > 0 ) THEN
1733	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1734	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1735	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1736	ENDIF
1737
1738	IF ( air_chemistry ) THEN
1739	IF ( max_pr_cs > 0 ) THEN
1740	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+ max_pr_cs,0) = &
1741	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,0) + &
1742	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,i)
1743
1744	ENDIF
1745	ENDIF
1746	IF ( salsa ) THEN
1747	IF ( max_pr_cs > 0 ) THEN
1748	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) = &
1749	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) + &
1750	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,i)
1751
1752	ENDIF
1753	ENDIF
1754	ENDDO
1755	ENDIF
1756
1757	#if defined( __parallel )
1758
1759	!
1760	!-- Compute total sum from local sums
1761	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1762	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, MPI_SUM, comm2d, ierr )
1763	IF ( large_scale_forcing ) THEN
1764	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, MPI_REAL, MPI_SUM, &
1765	comm2d, ierr )
1766	ENDIF
1767
1768	IF ( air_chemistry .AND. max_pr_cs > 0 ) THEN
1769	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1770	DO i = 1, max_pr_cs
1771	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+i,0), &
1772	sums(nzb,pr_palm+max_pr_user+i), &
1773	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1774	ENDDO
1775	ENDIF
1776
1777	IF ( salsa .AND. max_pr_salsa > 0 ) THEN
1778	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1779	DO i = 1, max_pr_salsa
1780	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+max_pr_cs+i,0), &
1781	sums(nzb,pr_palm+max_pr_user+max_pr_user+i), &
1782	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1783	ENDDO
1784	ENDIF
1785
1786	#else
1787	sums = sums_l(:,:,0)
1788	IF ( large_scale_forcing ) THEN
1789	sums(:,81:88) = sums_ls_l
1790	ENDIF
1791	#endif
1792
1793	!
1794	!-- Final values are obtained by division by the total number of grid points used for summation.
1795	!-- After that store profiles.
1796	!-- Check, if statistical regions do contain at least one grid point at the respective k-level,
1797	!-- otherwise division by zero will lead to undefined values, which may cause e.g. problems with
1798	!-- NetCDF output.
1799	!-- Profiles:
1800	DO k = nzb, nzt+1
1801	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1802	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1803	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1804	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1805	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1806	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1807	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1808	sums(k,89:112) = sums(k,89:112) / ngp_2dh(sr)
1809	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1810	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1811	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1812	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1813	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1814	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1815	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1816	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1817	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1818	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1819	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1820	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1821	sums(k,123:125) = sums(k,123:125) * ngp_2dh_s_inner(k,sr) / ngp_2dh(sr)
1822	ENDIF
1823	ENDDO
1824
1825	!-- u* and so on
1826	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose size is always
1827	!-- ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer above the topography, they are
1828	!-- divided by ngp_2dh(sr)
1829	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / ngp_2dh(sr)
1830	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / ngp_2dh(sr) ! qs
1831	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / ngp_2dh(sr) ! ss
1832	sums(nzb+14,pr_palm) = sums(nzb+14,pr_palm) / ngp_2dh(sr) ! surface temperature
1833
1834	!-- eges, e*
1835	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / ngp_3d(sr)
1836	!-- Old and new divergence
1837	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / ngp_3d_inner(sr)
1838
1839	!-- User-defined profiles
1840	IF ( max_pr_user > 0 ) THEN
1841	DO k = nzb, nzt+1
1842	sums(k,pr_palm+1:pr_palm+max_pr_user) = sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1843	ngp_2dh_s_inner(k,sr)
1844	ENDDO
1845	ENDIF
1846
1847	IF ( air_chemistry ) THEN
1848	IF ( max_pr_cs > 0 ) THEN
1849	DO k = nzb, nzt+1
1850	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) = &
1851	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) / &
1852	ngp_2dh_s_inner(k,sr)
1853	ENDDO
1854	ENDIF
1855	ENDIF
1856
1857	IF ( salsa ) THEN
1858	IF ( max_pr_salsa > 0 ) THEN
1859	DO k = nzb, nzt+1
1860	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) = &
1861	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) &
1862	/ ngp_2dh_s_inner(k,sr)
1863	ENDDO
1864	ENDIF
1865	ENDIF
1866
1867	!
1868	!-- Collect horizontal average in hom.
1869	!-- Compute deduced averages (e.g. total heat flux)
1870	hom(:,1,3,sr) = sums(:,3) ! w
1871	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1872	hom(:,1,9,sr) = sums(:,9) ! km
1873	hom(:,1,10,sr) = sums(:,10) ! kh
1874	hom(:,1,11,sr) = sums(:,11) ! l
1875	hom(:,1,12,sr) = sums(:,12) ! w"u"
1876	hom(:,1,13,sr) = sums(:,13) ! wu
1877	hom(:,1,14,sr) = sums(:,14) ! w"v"
1878	hom(:,1,15,sr) = sums(:,15) ! wv
1879	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1880	hom(:,1,17,sr) = sums(:,17) ! wpt
1881	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1882	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1883	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1884	hom(:,1,21,sr) = sums(:,21) ! wptBC
1885	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1886	! profile 24 is initial profile (sa)
1887	! profiles 25-29 left empty for initial
1888	! profiles
1889	hom(:,1,30,sr) = sums(:,30) ! u*2
1890	hom(:,1,31,sr) = sums(:,31) ! v*2
1891	hom(:,1,32,sr) = sums(:,32) ! w*2
1892	hom(:,1,33,sr) = sums(:,33) ! pt*2
1893	hom(:,1,34,sr) = sums(:,34) ! e*
1894	hom(:,1,35,sr) = sums(:,35) ! w2pt
1895	hom(:,1,36,sr) = sums(:,36) ! wpt2
1896	hom(:,1,37,sr) = sums(:,37) ! we
1897	hom(:,1,38,sr) = sums(:,38) ! w*3
1898	hom(:,1,39,sr) = sums(:,38) / ( ABS( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1899	hom(:,1,40,sr) = sums(:,40) ! p
1900	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1901	hom(:,1,46,sr) = sums(:,46) ! wvpt
1902	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1903	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1904	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1905	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1906	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1907	hom(:,1,52,sr) = sums(:,52) ! wqv
1908	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1909	hom(:,1,54,sr) = sums(:,54) ! ql
1910	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1911	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1912	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
1913	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1914	hom(:,1,59,sr) = sums(:,59) ! upt
1915	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1916	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1917	hom(:,1,62,sr) = sums(:,62) ! vpt
1918	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1919	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
1920	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1921	hom(:,1,66,sr) = sums(:,66) ! wsa
1922	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1923	hom(:,1,68,sr) = sums(:,68) ! wp
1924	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
1925	hom(:,1,70,sr) = sums(:,70) ! q*2
1926	hom(:,1,71,sr) = sums(:,71) ! prho
1927	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
1928	hom(:,1,123,sr) = sums(:,123) ! nc
1929	hom(:,1,124,sr) = sums(:,124) ! ni
1930	hom(:,1,125,sr) = sums(:,125) ! qi
1931	hom(:,1,73,sr) = sums(:,73) ! nr
1932	hom(:,1,74,sr) = sums(:,74) ! qr
1933	hom(:,1,75,sr) = sums(:,75) ! qc
1934	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1935	! 77 is initial density profile
1936	hom(:,1,78,sr) = ug ! ug
1937	hom(:,1,79,sr) = vg ! vg
1938	hom(:,1,80,sr) = w_subs ! w_subs
1939
1940	IF ( large_scale_forcing ) THEN
1941	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1942	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1943	IF ( use_subsidence_tendencies ) THEN
1944	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1945	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1946	ELSE
1947	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1948	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1949	ENDIF
1950	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1951	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1952	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1953	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1954	ENDIF
1955
1956	IF ( land_surface ) THEN
1957	hom(:,1,89,sr) = sums(:,89) ! t_soil
1958	! 90 is initial t_soil profile
1959	hom(:,1,91,sr) = sums(:,91) ! m_soil
1960	! 92 is initial m_soil profile
1961	hom(:,1,93,sr) = sums(:,93) ! ghf
1962	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
1963	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
1964	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
1965	hom(:,1,97,sr) = sums(:,97) ! r_a
1966	hom(:,1,98,sr) = sums(:,98) ! r_s
1967
1968	ENDIF
1969
1970	IF ( radiation ) THEN
1971	hom(:,1,99,sr) = sums(:,99) ! rad_net
1972	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
1973	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
1974	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
1975	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
1976
1977	IF ( radiation_scheme == 'rrtmg' ) THEN
1978	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
1979	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
1980	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
1981	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
1982
1983	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
1984	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
1985	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
1986	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
1987	ENDIF
1988	ENDIF
1989
1990	hom(:,1,112,sr) = sums(:,112) !: L
1991
1992	IF ( passive_scalar ) THEN
1993	hom(:,1,117,sr) = sums(:,117) ! w"s"
1994	hom(:,1,114,sr) = sums(:,114) ! ws
1995	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
1996	hom(:,1,116,sr) = sums(:,116) ! s*2
1997	ENDIF
1998
1999	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
2000	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
2001
2002	IF ( kolmogorov_length_scale ) THEN
2003	hom(:,1,121,sr) = sums(:,121) * 1E3_wp ! eta in mm
2004	ENDIF
2005
2006
2007	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
2008	! u, w'u', w'v', t (in last profile)
2009
2010	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
2011	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
2012	sums(:,pr_palm+1:pr_palm+max_pr_user)
2013	ENDIF
2014
2015	IF ( air_chemistry ) THEN
2016	IF ( max_pr_cs > 0 ) THEN ! chem_spcs profiles
2017	hom(:, 1, pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs, sr) = &
2018	sums(:, pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs)
2019	ENDIF
2020	ENDIF
2021
2022	IF ( salsa ) THEN
2023	IF ( max_pr_salsa > 0 ) THEN ! salsa profiles
2024	hom(:,1,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa, sr) = &
2025	sums(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa)
2026	ENDIF
2027	ENDIF
2028	!
2029	!-- Determine the boundary layer height using two different schemes.
2030	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the first relative
2031	!-- minimum (maximum) of the total heat flux.
2032	!-- The corresponding height is assumed as the boundary layer height, if it is less than 1.5
2033	!-- times the height where the heat flux becomes negative (positive) for the first time.
2034	!-- Attention: the resolved vertical sensible heat flux (hom(:,1,17,sr) = wpt) is not known at
2035	!-- the beginning because the calculation happens in advec_s_ws which is called after
2036	!-- flow_statistics. Therefore z_i is directly taken from restart data at the beginning of
2037	!-- restart runs.
2038	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .OR. &
2039	simulated_time_at_begin /= simulated_time ) THEN
2040
2041	z_i(1) = 0.0_wp
2042	first = .TRUE.
2043
2044	IF ( ocean_mode ) THEN
2045	DO k = nzt, nzb+1, -1
2046	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2047	first = .FALSE.
2048	height = zw(k)
2049	ENDIF
2050	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2051	IF ( zw(k) < 1.5_wp * height ) THEN
2052	z_i(1) = zw(k)
2053	ELSE
2054	z_i(1) = height
2055	ENDIF
2056	EXIT
2057	ENDIF
2058	ENDDO
2059	ELSE
2060	DO k = nzb, nzt-1
2061	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2062	first = .FALSE.
2063	height = zw(k)
2064	ENDIF
2065	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2066	IF ( zw(k) < 1.5_wp * height ) THEN
2067	z_i(1) = zw(k)
2068	ELSE
2069	z_i(1) = height
2070	ENDIF
2071	EXIT
2072	ENDIF
2073	ENDDO
2074	ENDIF
2075
2076	!
2077	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified by Uhlenbrock(2006).
2078	!-- The boundary layer height is the height with the maximal local temperature gradient:
2079	!-- starting from the second (the last but one) vertical gridpoint, the local gradient must be
2080	!-- at least 0.2K/100m and greater than the next four gradients.
2081	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2082	!-- ocean case!
2083	z_i(2) = 0.0_wp
2084	DO k = nzb+1, nzt+1
2085	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2086	ENDDO
2087	dptdz_threshold = 0.2_wp / 100.0_wp
2088
2089	IF ( ocean_mode ) THEN
2090	DO k = nzt+1, nzb+5, -1
2091	IF ( dptdz(k) > dptdz_threshold .AND. &
2092	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
2093	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2094	z_i(2) = zw(k-1)
2095	EXIT
2096	ENDIF
2097	ENDDO
2098	ELSE
2099	DO k = nzb+1, nzt-3
2100	IF ( dptdz(k) > dptdz_threshold .AND. &
2101	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
2102	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2103	z_i(2) = zw(k-1)
2104	EXIT
2105	ENDIF
2106	ENDDO
2107	ENDIF
2108
2109	ENDIF
2110
2111	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2112	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2113
2114	!
2115	!-- Determine vertical index which is nearest to the mean surface level height of the respective
2116	!-- statistic region
2117	DO k = nzb, nzt
2118	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
2119	k_surface_level = k
2120	EXIT
2121	ENDIF
2122	ENDDO
2123
2124	!
2125	!-- Computation of both the characteristic vertical velocity and the characteristic convective
2126	!-- boundary layer temperature.
2127	!-- The inversion height entering into the equation is defined with respect to the mean surface
2128	!-- level height of the respective statistic region.
2129	!-- The horizontal average at surface level index + 1 is input for the average temperature.
2130	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp ) THEN
2131	hom(nzb+8,1,pr_palm,sr) = &
2132	( g / hom(k_surface_level+1,1,4,sr) * &
2133	( hom(k_surface_level,1,18,sr) / &
2134	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
2135	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
2136	ELSE
2137	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
2138	ENDIF
2139
2140	!
2141	!-- Collect the time series quantities. Please note, timeseries quantities which are collected
2142	!-- from horizontally averaged profiles, e.g. wpt or pt(zp), are treated specially. In case of
2143	!-- elevated model surfaces, index nzb+1 might be within topography and data will be zero.
2144	!-- Therefore, take value for the first atmosphere index, which is topo_min_level+1.
2145	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2146	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2147	ts_value(3,sr) = dt_3d
2148	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2149	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2150	ts_value(6,sr) = u_max
2151	ts_value(7,sr) = v_max
2152	ts_value(8,sr) = w_max
2153	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2154	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2155	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2156	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2157	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2158	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2159	ts_value(15,sr) = hom(topo_min_level+1,1,16,sr) ! w'pt' at k=1
2160	ts_value(16,sr) = hom(topo_min_level+1,1,18,sr) ! wpt at k=1
2161	ts_value(17,sr) = hom(nzb+14,1,pr_palm,sr) ! pt(0)
2162	ts_value(18,sr) = hom(topo_min_level+1,1,4,sr) ! pt(zp)
2163	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2164	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2165	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2166
2167	IF ( .NOT. neutral ) THEN
2168	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
2169	ELSE
2170	ts_value(22,sr) = 1.0E10_wp
2171	ENDIF
2172
2173	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2174
2175	IF ( passive_scalar ) THEN
2176	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
2177	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
2178	ENDIF
2179
2180	!
2181	!-- Collect land surface model timeseries
2182	IF ( land_surface ) THEN
2183	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2184	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2185	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2186	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2187	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2188	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2189	ENDIF
2190	!
2191	!-- Collect radiation model timeseries
2192	IF ( radiation ) THEN
2193	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2194	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2195	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2196	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2197	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2198
2199	IF ( radiation_scheme == 'rrtmg' ) THEN
2200	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2201	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2202	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2203	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2204	ENDIF
2205
2206	ENDIF
2207
2208	!
2209	!-- Calculate additional statistics provided by other modules
2210	CALL module_interface_statistics( 'time_series', sr, 0, dots_max )
2211
2212	ENDDO ! loop of the subregions
2213
2214	!
2215	!-- If required, sum up horizontal averages for subsequent time averaging.
2216	!-- Do not sum, if flow statistics is called before the first initial time step.
2217	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2218	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2219	hom_sum = hom_sum + hom(:,1,:,:)
2220	average_count_pr = average_count_pr + 1
2221	do_sum = .FALSE.
2222	ENDIF
2223
2224	!
2225	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2226	!-- This flag is reset after each time step in time_integration.
2227	flow_statistics_called = .TRUE.
2228
2229	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2230
2231
2232	END SUBROUTINE flow_statistics

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