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source: palm/trunk/SOURCE/flow_statistics.f90 @ 4788

Last change on this file since 4788 was 4757, checked in by schwenkel, 4 years ago
implement relative humidity as diagnostic output quantity
Property svn:keywords set to `Id`
File size: 119.1 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 4757 2020-10-26 10:23:38Z oliver.maas $
26	! Implement relative humidity as diagnostic output quantity
27	!
28	! 4742 2020-10-14 15:11:02Z schwenkel
29	! Implement snow and graupel (bulk microphysics)
30	!
31	! 4703 2020-09-28 09:21:45Z suehring
32	! Revise averaging of land-surface quantities
33	!
34	! 4672 2020-09-09 21:27:32Z pavelkrc
35	! OpenACC bugfix
36	!
37	! 4671 2020-09-09 20:27:58Z pavelkrc
38	! Implementation of downward facing USM and LSM surfaces
39	!
40	! 4646 2020-08-24 16:02:40Z raasch
41	! file re-formatted to follow the PALM coding standard
42	!
43	! 4581 2020-06-29 08:49:58Z suehring
44	! Formatting adjustment
45	!
46	! 4551 2020-06-02 10:22:25Z suehring
47	! Bugfix in summation for statistical regions
48	!
49	! 4521 2020-05-06 11:39:49Z schwenkel
50	! Rename variable
51	!
52	! 4502 2020-04-17 16:14:16Z schwenkel
53	! Implementation of ice microphysics
54	!
55	! 4472 2020-03-24 12:21:00Z Giersch
56	! Calculations of the Kolmogorov lengt scale eta implemented
57	!
58	! 4464 2020-03-17 11:08:46Z Giersch
59	! Reset last change (r4463)
60	!
61	! 4463 2020-03-17 09:27:36Z Giersch
62	! Calculate horizontally averaged profiles of all velocity components at the same place
63	!
64	! 4444 2020-03-05 15:59:50Z raasch
65	! bugfix: cpp-directives for serial mode added
66	!
67	! 4442 2020-03-04 19:21:13Z suehring
68	! Change order of dimension in surface array %frac to allow for better vectorization.
69	!
70	! 4441 2020-03-04 19:20:35Z suehring
71	! Introduction of wall_flags_total_0, which currently sets bits based on static topography
72	! information used in wall_flags_static_0
73	!
74	! 4329 2019-12-10 15:46:36Z motisi
75	! Renamed wall_flags_0 to wall_flags_static_0
76	!
77	! 4182 2019-08-22 15:20:23Z scharf
78	! Corrected "Former revisions" section
79	!
80	! 4131 2019-08-02 11:06:18Z monakurppa
81	! Allow profile output for salsa variables.
82	!
83	! 4039 2019-06-18 10:32:41Z suehring
84	! Correct conversion to kinematic scalar fluxes in case of pw-scheme and statistic regions
85	!
86	! 3828 2019-03-27 19:36:23Z raasch
87	! unused variables removed
88	!
89	! 3676 2019-01-16 15:07:05Z knoop
90	! Bugfix, terminate OMP Parallel block
91	!
92	! Revision 1.1 1997/08/11 06:15:17 raasch
93	! Initial revision
94	!
95	!
96	! Description:
97	! ------------
98	!> Compute average profiles and further average flow quantities for the different user-defined
99	!> (sub-)regions. The region indexed 0 is the total model domain.
100	!>
101	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are used as a lower vertical index for
102	!> k-loops for all variables, although strictly speaking the k-loops would have to be split
103	!> up according to the staggered grid. However, this implies no error since staggered velocity
104	!> components are zero at the walls and inside buildings.
105	!--------------------------------------------------------------------------------------------------!
106	SUBROUTINE flow_statistics
107
108
109	USE arrays_3d, &
110	ONLY: ddzu, ddzw, d_exner, e, exner, heatflux_output_conversion, hyp, km, kh, &
111	momentumflux_output_conversion, &
112	nc, ni, ng, nr, ns, p, prho, prr, pt, q, qc, qi, qg, ql, qr, qs, &
113	rho_air, rho_air_zw, rho_ocean, s, sa, u, ug, v, vg, vpt, w, w_subs, &
114	waterflux_output_conversion, zw
115
116	USE basic_constants_and_equations_mod, &
117	ONLY: g, lv_d_cp, magnus, rd_d_rv
118
119	USE bulk_cloud_model_mod, &
120	ONLY: bulk_cloud_model, graupel, snow, microphysics_morrison, microphysics_seifert, &
121	microphysics_ice_phase
122
123	USE chem_modules, &
124	ONLY: max_pr_cs
125
126	USE control_parameters, &
127	ONLY: air_chemistry, average_count_pr, cloud_droplets, do_sum, dt_3d, humidity, &
128	initializing_actions, kolmogorov_length_scale, land_surface, large_scale_forcing, &
129	large_scale_subsidence, max_pr_salsa, max_pr_user, message_string, neutral, &
130	ocean_mode, passive_scalar, salsa, simulated_time, simulated_time_at_begin, &
131	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, ws_scheme_mom, &
132	ws_scheme_sca
133
134	USE cpulog, &
135	ONLY: cpu_log, log_point
136
137	USE grid_variables, &
138	ONLY: ddx, ddy
139
140	USE indices, &
141	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, nxl, nxr, nyn, nys, nzb, nzt, &
142	topo_min_level, wall_flags_total_0
143
144	#if defined( __parallel )
145	USE indices, &
146	ONLY: ngp_sums, ngp_sums_ls
147	#endif
148
149	USE kinds
150
151	USE land_surface_model_mod, &
152	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
153
154	USE lsf_nudging_mod, &
155	ONLY: td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert
156
157	USE module_interface, &
158	ONLY: module_interface_statistics
159
160	USE netcdf_interface, &
161	ONLY: dots_rad, dots_soil, dots_max
162
163	USE pegrid
164
165	USE radiation_model_mod, &
166	ONLY: radiation, radiation_scheme, &
167	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
168	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
169
170	USE statistics
171
172	USE surface_mod, &
173	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
174
175
176	IMPLICIT NONE
177
178	INTEGER(iwp) :: i !<
179	INTEGER(iwp) :: j !<
180	INTEGER(iwp) :: k !<
181	INTEGER(iwp) :: ki !<
182	INTEGER(iwp) :: k_surface_level !<
183	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
184	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
185	INTEGER(iwp) :: nt !<
186	!$ INTEGER(iwp) :: omp_get_thread_num !<
187	INTEGER(iwp) :: sr !<
188	INTEGER(iwp) :: tn !<
189
190	LOGICAL :: first !<
191
192	REAL(wp) :: dissipation !< dissipation rate
193	REAL(wp) :: dptdz_threshold !<
194	REAL(wp) :: du_dx !< Derivative of u fluctuations with respect to x
195	REAL(wp) :: du_dy !< Derivative of u fluctuations with respect to y
196	REAL(wp) :: du_dz !< Derivative of u fluctuations with respect to z
197	REAL(wp) :: dv_dx !< Derivative of v fluctuations with respect to x
198	REAL(wp) :: dv_dy !< Derivative of v fluctuations with respect to y
199	REAL(wp) :: dv_dz !< Derivative of v fluctuations with respect to z
200	REAL(wp) :: dw_dx !< Derivative of w fluctuations with respect to x
201	REAL(wp) :: dw_dy !< Derivative of w fluctuations with respect to y
202	REAL(wp) :: dw_dz !< Derivative of w fluctuations with respect to z
203	REAL(wp) :: eta !< Kolmogorov length scale
204	REAL(wp) :: fac !<
205	REAL(wp) :: flag !<
206	REAL(wp) :: height !<
207	REAL(wp) :: pts !<
208	REAL(wp) :: s11 !< fluctuating rate-of-strain tensor component 11
209	REAL(wp) :: s21 !< fluctuating rate-of-strain tensor component 21
210	REAL(wp) :: s31 !< fluctuating rate-of-strain tensor component 31
211	REAL(wp) :: s12 !< fluctuating rate-of-strain tensor component 12
212	REAL(wp) :: s22 !< fluctuating rate-of-strain tensor component 22
213	REAL(wp) :: s32 !< fluctuating rate-of-strain tensor component 32
214	REAL(wp) :: s13 !< fluctuating rate-of-strain tensor component 13
215	REAL(wp) :: s23 !< fluctuating rate-of-strain tensor component 23
216	REAL(wp) :: s33 !< fluctuating rate-of-strain tensor component 33
217	REAL(wp) :: sums_l_etot !<
218	REAL(wp) :: ust !<
219	REAL(wp) :: ust2 !<
220	REAL(wp) :: u2 !<
221	REAL(wp) :: vst !<
222	REAL(wp) :: vst2 !<
223	REAL(wp) :: v2 !<
224	REAL(wp) :: w2 !<
225
226	REAL(wp) :: temp !< temperature
227	REAL(wp) :: e_s !< saturation vapor pressure
228	REAL(wp) :: q_s !< saturation mixing ratio
229	REAL(wp) :: rh_tmp !< local value of relative humidity
230
231	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
232	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
233
234
235	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
236
237
238	!
239	!-- To be on the safe side, check whether flow_statistics has already been called once after the
240	!-- current time step.
241	IF ( flow_statistics_called ) THEN
242
243	message_string = 'flow_statistics is called two times within one ' // 'timestep'
244	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
245
246	ENDIF
247
248	!
249	!-- Compute statistics for each (sub-)region
250	DO sr = 0, statistic_regions
251
252	!
253	!-- Initialize (local) summation array
254	sums_l = 0.0_wp
255	#ifdef _OPENACC
256	!$ACC KERNELS PRESENT(sums_l)
257	sums_l = 0.0_wp
258	!$ACC END KERNELS
259	#endif
260
261	!
262	!-- Store sums that have been computed in other subroutines in summation array
263	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
264	!-- WARNING: next line still has to be adjusted for OpenMP
265	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
266	heatflux_output_conversion ! heat flux from advec_s_bc
267	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
268	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
269
270	!
271	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-scale) vertical fluxes
272	!-- and velocity variances by using commonly-applied Reynolds-based methods
273	!-- ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) ) in combination with the 5th order advection scheme,
274	!-- pronounced artificial kinks could be observed in the vertical profiles near the surface.
275	!-- Please note: these kinks were not related to the model truth, i.e. these kinks are just
276	!-- related to an evaluation problem.
277	!-- In order avoid these kinks, vertical fluxes and horizontal as well vertical velocity
278	!-- variances are calculated directly within the advection routines, according to the numerical
279	!-- discretization, to evaluate the statistical quantities as they will appear within the
280	!-- prognostic equations.
281	!-- Copy the turbulent quantities, evaluated in the advection routines to the local array
282	!-- sums_l() for further computations.
283	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
284
285	!
286	!-- According to the Neumann bc for the horizontal velocity components, the corresponding
287	!-- fluxes has to satisfiy the same bc.
288	IF ( ocean_mode ) THEN
289	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
290	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
291	ENDIF
292
293	DO i = 0, threads_per_task-1
294	!
295	!-- Swap the turbulent quantities evaluated in advec_ws.
296	sums_l(:,13,i) = sums_wsus_ws_l(:,i) * momentumflux_output_conversion ! wu
297	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) * momentumflux_output_conversion ! wv
298	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
299	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
300	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
301	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
302	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + sums_ws2_ws_l(:,i) ) ! e*
303	ENDDO
304
305	ENDIF
306
307	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
308
309	DO i = 0, threads_per_task-1
310	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
311	* heatflux_output_conversion ! wpt
312	IF ( ocean_mode ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
313	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
314	* waterflux_output_conversion ! wq
315	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
316	ENDDO
317
318	ENDIF
319	!
320	!-- Horizontally averaged profiles of horizontal velocities and temperature.
321	!-- They must have been computed before, because they are already required for other horizontal
322	!-- averages.
323	tn = 0
324	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
325	!$ tn = omp_get_thread_num()
326	!$OMP DO
327	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag) &
328	!$ACC PRESENT(wall_flags_total_0, u, v, pt, rmask, sums_l)
329	DO i = nxl, nxr
330	DO j = nys, nyn
331	DO k = nzb, nzt+1
332	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
333	!$ACC ATOMIC
334	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) * flag
335	!$ACC ATOMIC
336	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) * flag
337	!$ACC ATOMIC
338	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) * flag
339	ENDDO
340	ENDDO
341	ENDDO
342	!$ACC UPDATE HOST(sums_l(:,1,tn), sums_l(:,2,tn), sums_l(:,4,tn))
343
344	!
345	!-- Horizontally averaged profile of salinity
346	IF ( ocean_mode ) THEN
347	!$OMP DO
348	DO i = nxl, nxr
349	DO j = nys, nyn
350	DO k = nzb, nzt+1
351	sums_l(k,23,tn) = sums_l(k,23,tn) + sa(k,j,i) &
352	* rmask(j,i,sr) &
353	* MERGE( 1.0_wp, 0.0_wp, &
354	BTEST( wall_flags_total_0(k,j,i), 22 ) )
355	ENDDO
356	ENDDO
357	ENDDO
358	ENDIF
359
360	!
361	!-- Horizontally averaged profiles of virtual potential temperature, total water content, water
362	!-- vapor mixing ratio and liquid water potential temperature
363	IF ( humidity ) THEN
364	!$OMP DO
365	DO i = nxl, nxr
366	DO j = nys, nyn
367	DO k = nzb, nzt+1
368	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
369	sums_l(k,44,tn) = sums_l(k,44,tn) + vpt(k,j,i) * rmask(j,i,sr) * flag
370	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr) * flag
371	ENDDO
372	ENDDO
373	ENDDO
374	IF ( bulk_cloud_model ) THEN
375	!$OMP DO
376	DO i = nxl, nxr
377	DO j = nys, nyn
378	DO k = nzb, nzt+1
379	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
380	sums_l(k,42,tn) = sums_l(k,42,tn) + &
381	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) * flag
382	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
383	pt(k,j,i) + lv_d_cp * d_exner(k) * ql(k,j,i) &
384	) * rmask(j,i,sr) * flag
385	ENDDO
386	ENDDO
387	ENDDO
388	ENDIF
389	ENDIF
390
391	!
392	!-- Horizontally averaged profiles of passive scalar
393	IF ( passive_scalar ) THEN
394	!$OMP DO
395	DO i = nxl, nxr
396	DO j = nys, nyn
397	DO k = nzb, nzt+1
398	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
399	* rmask(j,i,sr) &
400	* MERGE( 1.0_wp, 0.0_wp, &
401	BTEST( wall_flags_total_0(k,j,i), 22 ) )
402	ENDDO
403	ENDDO
404	ENDDO
405	ENDIF
406	!$OMP END PARALLEL
407	!
408	!-- Summation of thread sums
409	IF ( threads_per_task > 1 ) THEN
410	DO i = 1, threads_per_task-1
411	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
412	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
413	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
414	IF ( ocean_mode ) THEN
415	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
416	ENDIF
417	IF ( humidity ) THEN
418	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
419	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
420	IF ( bulk_cloud_model ) THEN
421	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
422	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
423	ENDIF
424	ENDIF
425	IF ( passive_scalar ) THEN
426	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
427	ENDIF
428	ENDDO
429	ENDIF
430
431	#if defined( __parallel )
432	!
433	!-- Compute total sum from local sums
434	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
435	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
436	ierr )
437	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
438	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
439	ierr )
440	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
441	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
442	ierr )
443	IF ( ocean_mode ) THEN
444	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
445	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
446	ierr )
447	ENDIF
448	IF ( humidity ) THEN
449	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
450	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
451	ierr )
452	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
453	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
454	ierr )
455	IF ( bulk_cloud_model ) THEN
456	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
457	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, MPI_REAL, MPI_SUM, &
458	comm2d, ierr )
459	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
460	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, MPI_REAL, MPI_SUM, &
461	comm2d, ierr )
462	ENDIF
463	ENDIF
464
465	IF ( passive_scalar ) THEN
466	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
467	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, MPI_REAL, MPI_SUM, &
468	comm2d, ierr )
469	ENDIF
470	#else
471	sums(:,1) = sums_l(:,1,0)
472	sums(:,2) = sums_l(:,2,0)
473	sums(:,4) = sums_l(:,4,0)
474	IF ( ocean_mode ) sums(:,23) = sums_l(:,23,0)
475	IF ( humidity ) THEN
476	sums(:,44) = sums_l(:,44,0)
477	sums(:,41) = sums_l(:,41,0)
478	IF ( bulk_cloud_model ) THEN
479	sums(:,42) = sums_l(:,42,0)
480	sums(:,43) = sums_l(:,43,0)
481	ENDIF
482	ENDIF
483	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
484	#endif
485
486	!
487	!-- Final values are obtained by division by the total number of grid points used for summation.
488	!-- After that store profiles.
489	sums(:,1) = sums(:,1) / ngp_2dh(sr)
490	sums(:,2) = sums(:,2) / ngp_2dh(sr)
491	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
492	hom(:,1,1,sr) = sums(:,1) ! u
493	hom(:,1,2,sr) = sums(:,2) ! v
494	hom(:,1,4,sr) = sums(:,4) ! pt
495	!$ACC UPDATE DEVICE(hom(:,1,1,sr), hom(:,1,2,sr), hom(:,1,4,sr))
496
497
498	!
499	!-- Salinity
500	IF ( ocean_mode ) THEN
501	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
502	hom(:,1,23,sr) = sums(:,23) ! sa
503	ENDIF
504
505	!
506	!-- Humidity and cloud parameters
507	IF ( humidity ) THEN
508	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
509	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
510	hom(:,1,44,sr) = sums(:,44) ! vpt
511	hom(:,1,41,sr) = sums(:,41) ! qv (q)
512	IF ( bulk_cloud_model ) THEN
513	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
514	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
515	hom(:,1,42,sr) = sums(:,42) ! qv
516	hom(:,1,43,sr) = sums(:,43) ! pt
517	ENDIF
518	ENDIF
519
520	!
521	!-- Passive scalar
522	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / ngp_2dh_s_inner(:,sr) ! s
523
524	!
525	!-- Horizontally averaged profiles of the remaining prognostic variables, variances, the total
526	!-- and the perturbation energy (single values in last column of sums_l) and some diagnostic
527	!-- quantities.
528	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly speaking the following
529	!-- ---- k-loop would have to be split up and rearranged according to the staggered grid.
530	!-- However, this implies no error since staggered velocity components are zero at the
531	!-- walls and inside buildings.
532	tn = 0
533	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, &
534	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
535	!$OMP w2, flag, m, ki, l )
536	!$ tn = omp_get_thread_num()
537	!$OMP DO
538	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, m) &
539	!$ACC PRIVATE(sums_l_etot, flag, du_dx, du_dy, du_dz) &
540	!$ACC PRIVATE(dv_dx, dv_dy, dv_dz, dw_dx, dw_dy, dw_dz) &
541	!$ACC PRIVATE(s11, s21, s31, s12, s22, s32, s13, s23, s33) &
542	!$ACC PRIVATE(dissipation, eta) &
543	!$ACC PRESENT(wall_flags_total_0, rmask, momentumflux_output_conversion) &
544	!$ACC PRESENT(hom(:,1,1:2,sr), hom(:,1,4,sr)) &
545	!$ACC PRESENT(e, u, v, w, km, kh, p, pt) &
546	!$ACC PRESENT(ddx, ddy, ddzu, ddzw) &
547	!$ACC PRESENT(surf_def_h(0), surf_lsm_h(0), surf_usm_h(0)) &
548	!$ACC PRESENT(sums_l)
549	DO i = nxl, nxr
550	DO j = nys, nyn
551	sums_l_etot = 0.0_wp
552	DO k = nzb, nzt+1
553	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
554	!
555	!-- Prognostic and diagnostic variables
556	!$ACC ATOMIC
557	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) * flag
558	!$ACC ATOMIC
559	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) * flag
560	!$ACC ATOMIC
561	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) * flag
562	!$ACC ATOMIC
563	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) * flag
564	!$ACC ATOMIC
565	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
566	/ momentumflux_output_conversion(k) ) * flag
567
568	!$ACC ATOMIC
569	sums_l(k,33,tn) = sums_l(k,33,tn) + &
570	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr) * flag
571	#ifndef _OPENACC
572	IF ( humidity ) THEN
573	sums_l(k,70,tn) = sums_l(k,70,tn) + &
574	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr) * flag
575	ENDIF
576	IF ( passive_scalar ) THEN
577	sums_l(k,116,tn) = sums_l(k,116,tn) + &
578	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr) * flag
579	ENDIF
580	#endif
581	!
582	!-- Higher moments
583	!-- (Computation of the skewness of w further below)
584	!$ACC ATOMIC
585	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) * flag
586
587	sums_l_etot = sums_l_etot + 0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + w(k,j,i)**2 ) &
588	* rmask(j,i,sr) * flag
589
590	!
591	!-- Computation of the Kolmogorov length scale. Calculation is based on gradients of the
592	!-- deviations from the horizontal mean.
593	!-- Kolmogorov scale at the boundaries (k=0/z=0m and k=nzt+1) is set to zero.
594	IF ( kolmogorov_length_scale .AND. k /= nzb .AND. k /= nzt+1) THEN
595	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
596
597	!
598	!-- Calculate components of the fluctuating rate-of-strain tensor
599	!-- (0.5*(del u'_i/del x_j + del u'_j/del x_i)) defined in the center of each grid
600	!-- box.
601	du_dx = ( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
602	( u(k,j,i) - hom(k,1,1,sr) ) ) * ddx
603	du_dy = 0.25_wp * ddy * &
604	( ( u(k,j+1,i) - hom(k,1,1,sr) ) - &
605	( u(k,j-1,i) - hom(k,1,1,sr) ) + &
606	( u(k,j+1,i+1) - hom(k,1,1,sr) ) - &
607	( u(k,j-1,i+1) - hom(k,1,1,sr) ) )
608	du_dz = 0.25_wp * ( ( ( u(k+1,j,i) - hom(k+1,1,1,sr) ) - &
609	( u(k,j,i) - hom(k,1,1,sr) ) ) * &
610	ddzu(k+1) + &
611	( ( u(k,j,i) - hom(k,1,1,sr) ) - &
612	( u(k-1,j,i) - hom(k-1,1,1,sr) ) ) * &
613	ddzu(k) + &
614	( ( u(k+1,j,i+1) - hom(k+1,1,1,sr) ) - &
615	( u(k,j,i+1) - hom(k,1,1,sr) ) ) * &
616	ddzu(k+1) + &
617	( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
618	( u(k-1,j,i+1) - hom(k-1,1,1,sr) ) ) * &
619	ddzu(k) )
620
621	dv_dx = 0.25_wp * ddx * &
622	( ( v(k,j,i+1) - hom(k,1,2,sr) ) - &
623	( v(k,j,i-1) - hom(k,1,2,sr) ) + &
624	( v(k,j+1,i+1) - hom(k,1,2,sr) ) - &
625	( v(k,j+1,i-1) - hom(k,1,2,sr) ) )
626	dv_dy = ( ( v(k,j+1,i) - hom(k,1,2,sr) ) - ( v(k,j,i) - hom(k,1,2,sr) ) ) * ddy
627	dv_dz = 0.25_wp * ( ( ( v(k+1,j,i) - hom(k+1,1,2,sr) ) - &
628	( v(k,j,i) - hom(k,1,2,sr) ) ) * &
629	ddzu(k+1) + &
630	( ( v(k,j,i) - hom(k,1,2,sr) ) - &
631	( v(k-1,j,i) - hom(k-1,1,2,sr) ) ) * &
632	ddzu(k) + &
633	( ( v(k+1,j+1,i) - hom(k+1,1,2,sr) ) - &
634	( v(k,j+1,i) - hom(k,1,2,sr) ) ) * &
635	ddzu(k+1) + &
636	( ( v(k,j+1,i) - hom(k,1,2,sr) ) - &
637	( v(k-1,j+1,i) - hom(k-1,1,2,sr) ) ) * &
638	ddzu(k) )
639
640	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) )
641	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) )
642	dw_dz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
643
644	s11 = 0.5_wp * ( du_dx + du_dx )
645	s21 = 0.5_wp * ( dv_dx + du_dy )
646	s31 = 0.5_wp * ( dw_dx + du_dz )
647
648	s12 = s21
649	s22 = 0.5 * ( dv_dy + dv_dy )
650	s32 = 0.5 * ( dw_dy + dv_dz )
651
652	s13 = s31
653	s23 = s32
654	s33 = 0.5_wp * ( dw_dz + dw_dz )
655
656	!-- Calculate 3D instantaneous energy dissipation rate following Pope (2000):
657	!-- Turbulent flows, p.259. It is defined in the center of each grid volume.
658	dissipation = 2.0_wp * km(k,j,i) * &
659	( s11s11 + s21s21 + s31*s31 + &
660	s12s12 + s22s22 + s32*s32 + &
661	s13s13 + s23s23 + s33*s33 )
662	eta = ( km(k,j,i)3.0_wp / ( dissipation+1.0E-12 ) )(1.0_wp/4.0_wp)
663
664	!$ACC ATOMIC
665	sums_l(k,121,tn) = sums_l(k,121,tn) + eta * rmask(j,i,sr) * flag
666
667
668	ENDIF !Kolmogorov length scale
669
670	ENDDO !k-loop
671	!
672	!-- Total and perturbation energy for the total domain (being collected in the last column
673	!-- of sums_l). Summation of these quantities is seperated from the previous loop in order
674	!-- to allow vectorization of that loop.
675	!$ACC ATOMIC
676	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
677	!
678	!-- 2D-arrays (being collected in the last column of sums_l)
679	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
680	m = surf_def_h(0)%start_index(j,i)
681	!$ACC ATOMIC
682	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
683	surf_def_h(0)%us(m) * rmask(j,i,sr)
684	!$ACC ATOMIC
685	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
686	surf_def_h(0)%usws(m) * rmask(j,i,sr)
687	!$ACC ATOMIC
688	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
689	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
690	!$ACC ATOMIC
691	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
692	surf_def_h(0)%ts(m) * rmask(j,i,sr)
693	#ifndef _OPENACC
694	IF ( humidity ) THEN
695	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
696	surf_def_h(0)%qs(m) * rmask(j,i,sr)
697	ENDIF
698	IF ( passive_scalar ) THEN
699	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
700	surf_def_h(0)%ss(m) * rmask(j,i,sr)
701	ENDIF
702	#endif
703	!
704	!-- Summation of surface temperature.
705	!$ACC ATOMIC
706	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
707	surf_def_h(0)%pt_surface(m) * rmask(j,i,sr)
708	ENDIF
709	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
710	m = surf_lsm_h(0)%start_index(j,i)
711	!$ACC ATOMIC
712	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
713	surf_lsm_h(0)%us(m) * rmask(j,i,sr)
714	!$ACC ATOMIC
715	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
716	surf_lsm_h(0)%usws(m) * rmask(j,i,sr)
717	!$ACC ATOMIC
718	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
719	surf_lsm_h(0)%vsws(m) * rmask(j,i,sr)
720	!$ACC ATOMIC
721	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
722	surf_lsm_h(0)%ts(m) * rmask(j,i,sr)
723	#ifndef _OPENACC
724	IF ( humidity ) THEN
725	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
726	surf_lsm_h(0)%qs(m) * rmask(j,i,sr)
727	ENDIF
728	IF ( passive_scalar ) THEN
729	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
730	surf_lsm_h(0)%ss(m) * rmask(j,i,sr)
731	ENDIF
732	#endif
733	!
734	!-- Summation of surface temperature.
735	!$ACC ATOMIC
736	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
737	surf_lsm_h(0)%pt_surface(m) * rmask(j,i,sr)
738	ENDIF
739	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
740	m = surf_usm_h(0)%start_index(j,i)
741	!$ACC ATOMIC
742	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
743	surf_usm_h(0)%us(m) * rmask(j,i,sr)
744	!$ACC ATOMIC
745	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
746	surf_usm_h(0)%usws(m) * rmask(j,i,sr)
747	!$ACC ATOMIC
748	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
749	surf_usm_h(0)%vsws(m) * rmask(j,i,sr)
750	!$ACC ATOMIC
751	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
752	surf_usm_h(0)%ts(m) * rmask(j,i,sr)
753	#ifndef _OPENACC
754	IF ( humidity ) THEN
755	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
756	surf_usm_h(0)%qs(m) * rmask(j,i,sr)
757	ENDIF
758	IF ( passive_scalar ) THEN
759	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
760	surf_usm_h(0)%ss(m) * rmask(j,i,sr)
761	ENDIF
762	#endif
763	!
764	!-- Summation of surface temperature.
765	!$ACC ATOMIC
766	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
767	surf_usm_h(0)%pt_surface(m) * rmask(j,i,sr)
768	ENDIF
769	ENDDO !j-loop
770	ENDDO !i-loop
771	!$ACC UPDATE &
772	!$ACC HOST(sums_l(:,3,tn), sums_l(:,8,tn), sums_l(:,9,tn)) &
773	!$ACC HOST(sums_l(:,10,tn), sums_l(:,40,tn), sums_l(:,33,tn)) &
774	!$ACC HOST(sums_l(:,38,tn), sums_l(:,121,tn)) &
775	!$ACC HOST(sums_l(nzb:nzb+4,pr_palm,tn), sums_l(nzb+14:nzb+14,pr_palm,tn))
776
777	!
778	!-- Computation of statistics when ws-scheme is not used. Else these
779	!-- quantities are evaluated in the advection routines.
780	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) THEN
781	!$OMP DO
782	DO i = nxl, nxr
783	DO j = nys, nyn
784	DO k = nzb, nzt+1
785	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
786
787	u2 = u(k,j,i)**2
788	v2 = v(k,j,i)**2
789	w2 = w(k,j,i)**2
790	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
791	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
792
793	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) * flag
794	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) * flag
795	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) * flag
796	!
797	!-- Perturbation energy
798	sums_l(k,34,tn) = sums_l(k,34,tn) + &
799	0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * flag
800	ENDDO
801	ENDDO
802	ENDDO
803	ENDIF
804	!
805	!-- Computaion of domain-averaged perturbation energy. Please note, to prevent that perturbation
806	!-- energy is larger (even if only slightly) than the total kinetic energy, calculation is based
807	!-- on deviations from the horizontal mean, instead of spatial descretization of the advection
808	!-- term.
809	!$OMP DO
810	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag, w2, ust2, vst2) &
811	!$ACC PRESENT(wall_flags_total_0, u, v, w, rmask, hom(:,1,1:2,sr)) &
812	!$ACC PRESENT(sums_l)
813	DO i = nxl, nxr
814	DO j = nys, nyn
815	DO k = nzb, nzt+1
816	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
817
818	w2 = w(k,j,i)**2
819	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
820	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
821	w2 = w(k,j,i)**2
822
823	!$ACC ATOMIC
824	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
825	+ 0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * flag
826
827	ENDDO
828	ENDDO
829	ENDDO
830	!$ACC UPDATE HOST(sums_l(nzb+5:nzb+5,pr_palm,tn))
831
832	!
833	!-- Horizontally averaged profiles of the vertical fluxes
834	!$OMP DO
835	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) &
836	!$ACC PRIVATE(ki, flag, ust, vst, pts) &
837	!$ACC PRESENT(kh, km, u, v, w, pt) &
838	!$ACC PRESENT(wall_flags_total_0, rmask, ddzu, rho_air_zw, hom(:,1,1:4,sr)) &
839	!$ACC PRESENT(heatflux_output_conversion, momentumflux_output_conversion) &
840	!$ACC PRESENT(surf_def_h(0:2), surf_lsm_h(0:1), surf_usm_h(0:1)) &
841	!$ACC PRESENT(sums_l)
842	DO i = nxl, nxr
843	DO j = nys, nyn
844	!
845	!-- Subgridscale fluxes (without Prandtl layer from k=nzb, oterwise from k=nzb+1)
846	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although strictly speaking the
847	!-- ---- following k-loop would have to be split up according to the staggered grid.
848	!-- However, this implies no error since staggered velocity components are zero at
849	!-- the walls and inside buildings.
850	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes, which are added
851	!-- further below.
852	DO k = nzb, nzt
853	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
854	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
855	!
856	!-- Momentum flux w"u"
857	!$ACC ATOMIC
858	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
859	km(k,j,i) + km(k+1,j,i) + km(k,j,i-1) + km(k+1,j,i-1) &
860	) * ( &
861	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
862	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
863	) * rmask(j,i,sr) &
864	* rho_air_zw(k) &
865	* momentumflux_output_conversion(k) &
866	* flag
867	!
868	!-- Momentum flux w"v"
869	!$ACC ATOMIC
870	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
871	km(k,j,i) + km(k+1,j,i) + km(k,j-1,i) + km(k+1,j-1,i) &
872	) * ( &
873	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
874	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
875	) * rmask(j,i,sr) &
876	* rho_air_zw(k) &
877	* momentumflux_output_conversion(k) &
878	* flag
879	!
880	!-- Heat flux w"pt"
881	!$ACC ATOMIC
882	sums_l(k,16,tn) = sums_l(k,16,tn) &
883	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
884	* ( pt(k+1,j,i) - pt(k,j,i) ) &
885	* rho_air_zw(k) &
886	* heatflux_output_conversion(k) &
887	* ddzu(k+1) * rmask(j,i,sr) &
888	* flag
889
890	!
891	!-- Salinity flux w"sa"
892	#ifndef _OPENACC
893	IF ( ocean_mode ) THEN
894	sums_l(k,65,tn) = sums_l(k,65,tn) &
895	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
896	* ( sa(k+1,j,i) - sa(k,j,i) ) &
897	* ddzu(k+1) * rmask(j,i,sr) &
898	* flag
899	ENDIF
900
901	!
902	!-- Buoyancy flux, water flux (humidity flux) w"q"
903	IF ( humidity ) THEN
904	sums_l(k,45,tn) = sums_l(k,45,tn) &
905	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
906	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
907	* rho_air_zw(k) &
908	* heatflux_output_conversion(k) &
909	* ddzu(k+1) * rmask(j,i,sr) * flag
910	sums_l(k,48,tn) = sums_l(k,48,tn) &
911	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
912	* ( q(k+1,j,i) - q(k,j,i) ) &
913	* rho_air_zw(k) &
914	* waterflux_output_conversion(k) &
915	* ddzu(k+1) * rmask(j,i,sr) * flag
916
917	IF ( bulk_cloud_model ) THEN
918	sums_l(k,51,tn) = sums_l(k,51,tn) &
919	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
920	* ( ( q(k+1,j,i) - ql(k+1,j,i) ) &
921	- ( q(k,j,i) - ql(k,j,i) ) ) &
922	* rho_air_zw(k) &
923	* waterflux_output_conversion(k) &
924	* ddzu(k+1) * rmask(j,i,sr) * flag
925	ENDIF
926	ENDIF
927
928	!
929	!-- Passive scalar flux
930	IF ( passive_scalar ) THEN
931	sums_l(k,117,tn) = sums_l(k,117,tn) &
932	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
933	* ( s(k+1,j,i) - s(k,j,i) ) &
934	* ddzu(k+1) * rmask(j,i,sr) &
935	* flag
936	ENDIF
937	#endif
938
939	ENDDO
940
941	!
942	!-- Subgridscale fluxes in the Prandtl layer
943	IF ( use_surface_fluxes ) THEN
944	DO l = 0, 1
945	! The original code using MERGE doesn't work with the PGI
946	! compiler when running on the GPU.
947	! This is submitted as a compiler Bug in PGI ticket TPR#26718
948	! ki = MERGE( -1, 0, l == 0 )
949	ki = -1 + l
950	IF ( surf_def_h(l)%ns >= 1 ) THEN
951	DO m = surf_def_h(l)%start_index(j,i), &
952	surf_def_h(l)%end_index(j,i)
953	k = surf_def_h(l)%k(m)
954
955	!$ACC ATOMIC
956	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
957	momentumflux_output_conversion(k+ki) * &
958	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
959	!$ACC ATOMIC
960	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
961	momentumflux_output_conversion(k+ki) * &
962	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
963	!$ACC ATOMIC
964	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
965	heatflux_output_conversion(k+ki) * &
966	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
967	#if 0
968	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
969	0.0_wp * rmask(j,i,sr) ! u"pt"
970	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
971	0.0_wp * rmask(j,i,sr) ! v"pt"
972	#endif
973	#ifndef _OPENACC
974	IF ( ocean_mode ) THEN
975	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
976	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
977	ENDIF
978	IF ( humidity ) THEN
979	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
980	waterflux_output_conversion(k+ki) * &
981	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
982	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
983	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
984	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
985	surf_def_h(l)%qsws(m) ) &
986	* heatflux_output_conversion(k+ki)
987	IF ( cloud_droplets ) THEN
988	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
989	( 1.0_wp + 0.61_wp * q(k+ki,j,i) - &
990	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
991	0.61_wp * pt(k+ki,j,i) &
992	* surf_def_h(l)%qsws(m) ) &
993	* heatflux_output_conversion(k+ki)
994	ENDIF
995	IF ( bulk_cloud_model ) THEN
996	!
997	!-- Formula does not work if ql(k+ki) /= 0.0
998	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
999	waterflux_output_conversion(k+ki) * &
1000	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1001	ENDIF
1002	ENDIF
1003	IF ( passive_scalar ) THEN
1004	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
1005	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1006	ENDIF
1007	#endif
1008
1009	ENDDO
1010
1011	ENDIF
1012	IF ( surf_lsm_h(l)%end_index(j,i) >= surf_lsm_h(l)%start_index(j,i) ) THEN
1013	m = surf_lsm_h(l)%start_index(j,i)
1014	!$ACC ATOMIC
1015	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1016	momentumflux_output_conversion(nzb) * &
1017	surf_lsm_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
1018	!$ACC ATOMIC
1019	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1020	momentumflux_output_conversion(nzb) * &
1021	surf_lsm_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
1022	!$ACC ATOMIC
1023	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1024	heatflux_output_conversion(nzb) * &
1025	surf_lsm_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1026	#if 0
1027	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1028	0.0_wp * rmask(j,i,sr) ! u"pt"
1029	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1030	0.0_wp * rmask(j,i,sr) ! v"pt"
1031	#endif
1032	#ifndef _OPENACC
1033	IF ( ocean_mode ) THEN
1034	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1035	surf_lsm_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1036	ENDIF
1037	IF ( humidity ) THEN
1038	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1039	waterflux_output_conversion(nzb) * &
1040	surf_lsm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1041	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1042	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * surf_lsm_h(l)%shf(m) + &
1043	0.61_wp * pt(nzb,j,i) * surf_lsm_h(l)%qsws(m) ) &
1044	* heatflux_output_conversion(nzb)
1045	IF ( cloud_droplets ) THEN
1046	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1047	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1048	ql(nzb,j,i) ) * surf_lsm_h(l)%shf(m) + &
1049	0.61_wp * pt(nzb,j,i) * surf_lsm_h(l)%qsws(m) ) &
1050	* heatflux_output_conversion(nzb)
1051	ENDIF
1052	IF ( bulk_cloud_model ) THEN
1053	!
1054	!-- Formula does not work if ql(nzb) /= 0.0
1055	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1056	waterflux_output_conversion(nzb) * &
1057	surf_lsm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1058	ENDIF
1059	ENDIF
1060	IF ( passive_scalar ) THEN
1061	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1062	surf_lsm_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1063	ENDIF
1064	#endif
1065
1066	ENDIF
1067	IF ( surf_usm_h(l)%end_index(j,i) >= surf_usm_h(l)%start_index(j,i) ) THEN
1068	m = surf_usm_h(l)%start_index(j,i)
1069	!$ACC ATOMIC
1070	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1071	momentumflux_output_conversion(nzb) * &
1072	surf_usm_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
1073	!$ACC ATOMIC
1074	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1075	momentumflux_output_conversion(nzb) * &
1076	surf_usm_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
1077	!$ACC ATOMIC
1078	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1079	heatflux_output_conversion(nzb) * &
1080	surf_usm_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1081	#if 0
1082	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + 0.0_wp * rmask(j,i,sr) ! u"pt"
1083	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + 0.0_wp * rmask(j,i,sr) ! v"pt"
1084	#endif
1085	#ifndef _OPENACC
1086	IF ( ocean_mode ) THEN
1087	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1088	surf_usm_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1089	ENDIF
1090	IF ( humidity ) THEN
1091	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1092	waterflux_output_conversion(nzb) * &
1093	surf_usm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1094	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1095	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1096	surf_usm_h(l)%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1097	surf_usm_h(l)%qsws(m) ) &
1098	* heatflux_output_conversion(nzb)
1099	IF ( cloud_droplets ) THEN
1100	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1101	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1102	ql(nzb,j,i) ) * surf_usm_h(l)%shf(m) + &
1103	0.61_wp * pt(nzb,j,i) * surf_usm_h(l)%qsws(m) ) &
1104	* heatflux_output_conversion(nzb)
1105	ENDIF
1106	IF ( bulk_cloud_model ) THEN
1107	!
1108	!-- Formula does not work if ql(nzb) /= 0.0
1109	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1110	waterflux_output_conversion(nzb) * &
1111	surf_usm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1112	ENDIF
1113	ENDIF
1114	IF ( passive_scalar ) THEN
1115	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1116	surf_usm_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1117	ENDIF
1118	#endif
1119
1120	ENDIF
1121	ENDDO
1122	ENDIF
1123
1124	#ifndef _OPENACC
1125	IF ( .NOT. neutral ) THEN
1126	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1127	m = surf_def_h(0)%start_index(j,i)
1128	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1129	ENDIF
1130	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1131	m = surf_lsm_h(0)%start_index(j,i)
1132	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_lsm_h(0)%ol(m) * rmask(j,i,sr) ! L
1133	ENDIF
1134	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1135	m = surf_usm_h(0)%start_index(j,i)
1136	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_usm_h(0)%ol(m) * rmask(j,i,sr) ! L
1137	ENDIF
1138	ENDIF
1139
1140	IF ( radiation ) THEN
1141	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1142	m = surf_def_h(0)%start_index(j,i)
1143	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1144	surf_def_h(0)%rad_net(m) * rmask(j,i,sr)
1145	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1146	surf_def_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1147	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1148	surf_def_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1149	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1150	surf_def_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1151	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1152	surf_def_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1153	ENDIF
1154	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1155	m = surf_lsm_h(0)%start_index(j,i)
1156	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1157	surf_lsm_h(0)%rad_net(m) * rmask(j,i,sr)
1158	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1159	surf_lsm_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1160	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1161	surf_lsm_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1162	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1163	surf_lsm_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1164	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1165	surf_lsm_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1166	ENDIF
1167	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1168	m = surf_usm_h(0)%start_index(j,i)
1169	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1170	surf_usm_h(0)%rad_net(m) * rmask(j,i,sr)
1171	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1172	surf_usm_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1173	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1174	surf_usm_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1175	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1176	surf_usm_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1177	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1178	surf_usm_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1179	ENDIF
1180
1181	#if defined ( __rrtmg )
1182	IF ( radiation_scheme == 'rrtmg' ) THEN
1183
1184	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1185	m = surf_def_h(0)%start_index(j,i)
1186	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1187	surf_def_h(0)%rrtm_aldif(m,0) * rmask(j,i,sr)
1188	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1189	surf_def_h(0)%rrtm_aldir(m,0) * rmask(j,i,sr)
1190	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1191	surf_def_h(0)%rrtm_asdif(m,0) * rmask(j,i,sr)
1192	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1193	surf_def_h(0)%rrtm_asdir(m,0) * rmask(j,i,sr)
1194	ENDIF
1195	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1196	m = surf_lsm_h(0)%start_index(j,i)
1197	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1198	SUM( surf_lsm_h(0)%frac(m,:) * &
1199	surf_lsm_h(0)%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1200	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1201	SUM( surf_lsm_h(0)%frac(m,:) * &
1202	surf_lsm_h(0)%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1203	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1204	SUM( surf_lsm_h(0)%frac(m,:) * &
1205	surf_lsm_h(0)%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1206	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1207	SUM( surf_lsm_h(0)%frac(m,:) * &
1208	surf_lsm_h(0)%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1209	ENDIF
1210	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1211	m = surf_usm_h(0)%start_index(j,i)
1212	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1213	SUM( surf_usm_h(0)%frac(m,:) * &
1214	surf_usm_h(0)%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1215	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1216	SUM( surf_usm_h(0)%frac(m,:) * &
1217	surf_usm_h(0)%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1218	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1219	SUM( surf_usm_h(0)%frac(m,:) * &
1220	surf_usm_h(0)%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1221	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1222	SUM( surf_usm_h(0)%frac(m,:) * &
1223	surf_usm_h(0)%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1224	ENDIF
1225
1226	ENDIF
1227	#endif
1228	ENDIF
1229	#endif
1230	!
1231	!-- Subgridscale fluxes at the top surface
1232	IF ( use_top_fluxes ) THEN
1233	m = surf_def_h(2)%start_index(j,i)
1234	!$ACC ATOMIC
1235	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
1236	momentumflux_output_conversion(nzt) * &
1237	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1238	!$ACC ATOMIC
1239	sums_l(nzt+1,12,tn) = sums_l(nzt+1,12,tn) + &
1240	momentumflux_output_conversion(nzt+1) * &
1241	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1242	!$ACC ATOMIC
1243	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
1244	momentumflux_output_conversion(nzt) * &
1245	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1246	!$ACC ATOMIC
1247	sums_l(nzt+1,14,tn) = sums_l(nzt+1,14,tn) + &
1248	momentumflux_output_conversion(nzt+1) * &
1249	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1250	!$ACC ATOMIC
1251	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
1252	heatflux_output_conversion(nzt) * &
1253	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1254	!$ACC ATOMIC
1255	sums_l(nzt+1,16,tn) = sums_l(nzt+1,16,tn) + &
1256	heatflux_output_conversion(nzt+1) * &
1257	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1258	#if 0
1259	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1260	0.0_wp * rmask(j,i,sr) ! u"pt"
1261	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1262	0.0_wp * rmask(j,i,sr) ! v"pt"
1263	#endif
1264	#ifndef _OPENACC
1265	IF ( ocean_mode ) THEN
1266	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1267	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1268	ENDIF
1269	IF ( humidity ) THEN
1270	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1271	waterflux_output_conversion(nzt) * &
1272	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1273	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1274	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
1275	surf_def_h(2)%shf(m) + &
1276	0.61_wp * pt(nzt,j,i) * &
1277	surf_def_h(2)%qsws(m) ) &
1278	* heatflux_output_conversion(nzt)
1279	IF ( cloud_droplets ) THEN
1280	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1281	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1282	ql(nzt,j,i) ) * &
1283	surf_def_h(2)%shf(m) + &
1284	0.61_wp * pt(nzt,j,i) * &
1285	surf_def_h(2)%qsws(m) ) &
1286	* heatflux_output_conversion(nzt)
1287	ENDIF
1288	IF ( bulk_cloud_model ) THEN
1289	!
1290	!-- Formula does not work if ql(nzb) /= 0.0
1291	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1292	waterflux_output_conversion(nzt) * &
1293	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1294	ENDIF
1295	ENDIF
1296	IF ( passive_scalar ) THEN
1297	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1298	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1299	ENDIF
1300	#endif
1301	ENDIF
1302
1303	!
1304	!-- Resolved fluxes (can be computed for all horizontal points)
1305	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly speaking the
1306	!-- ---- following k-loop would have to be split up and rearranged according to the
1307	!-- staggered grid.
1308	DO k = nzb, nzt
1309	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
1310	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1311	u(k+1,j,i) - hom(k+1,1,1,sr) )
1312	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1313	v(k+1,j,i) - hom(k+1,1,2,sr) )
1314	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1315	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1316	!
1317	!-- Higher moments
1318	!$ACC ATOMIC
1319	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 rmask(j,i,sr) * flag
1320	!$ACC ATOMIC
1321	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * rmask(j,i,sr) * flag
1322
1323	!
1324	!-- Salinity flux and density (density does not belong to here, but so far there is no
1325	!-- other suitable place to calculate)
1326	#ifndef _OPENACC
1327	IF ( ocean_mode ) THEN
1328	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1329	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1330	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1331	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1332	rmask(j,i,sr) * flag
1333	ENDIF
1334	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * rmask(j,i,sr) * flag
1335	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * rmask(j,i,sr) * flag
1336	ENDIF
1337
1338	!
1339	!-- Buoyancy flux, water flux, humidity flux, liquid water content, rain drop
1340	!-- concentration and rain water content
1341	IF ( humidity ) THEN
1342	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
1343	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1344	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1345	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1346	rho_air_zw(k) * &
1347	heatflux_output_conversion(k) * &
1348	rmask(j,i,sr) * flag
1349	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) * flag
1350
1351	IF ( .NOT. cloud_droplets ) THEN
1352	pts = 0.5_wp * &
1353	( ( q(k,j,i) - ql(k,j,i) ) - &
1354	hom(k,1,42,sr) + &
1355	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1356	hom(k+1,1,42,sr) )
1357	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1358	rho_air_zw(k) * &
1359	waterflux_output_conversion(k) * &
1360	rmask(j,i,sr) * flag
1361	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * rmask(j,i,sr) * flag
1362	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * rmask(j,i,sr) * flag
1363	IF ( microphysics_morrison ) THEN
1364	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * rmask(j,i,sr) * flag
1365	ENDIF
1366	IF ( microphysics_ice_phase ) THEN
1367	sums_l(k,124,tn) = sums_l(k,124,tn) + ni(k,j,i) * rmask(j,i,sr) * flag
1368	sums_l(k,125,tn) = sums_l(k,125,tn) + qi(k,j,i) * rmask(j,i,sr) * flag
1369	IF ( graupel .AND. snow ) THEN
1370	sums_l(k,126,tn) = sums_l(k,126,tn) + ng(k,j,i) * rmask(j,i,sr) * flag
1371	sums_l(k,127,tn) = sums_l(k,127,tn) + qg(k,j,i) * rmask(j,i,sr) * flag
1372	sums_l(k,128,tn) = sums_l(k,128,tn) + ns(k,j,i) * rmask(j,i,sr) * flag
1373	sums_l(k,129,tn) = sums_l(k,129,tn) + qs(k,j,i) * rmask(j,i,sr) * flag
1374	ENDIF
1375	ENDIF
1376
1377	IF ( microphysics_seifert ) THEN
1378	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * rmask(j,i,sr) * flag
1379	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * rmask(j,i,sr) * flag
1380	ENDIF
1381	ENDIF
1382
1383	ELSE
1384	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1385	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1386	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1387	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1388	rho_air_zw(k) * &
1389	heatflux_output_conversion(k) * &
1390	rmask(j,i,sr) * flag
1391	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1392	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1393	hom(k,1,41,sr) ) * &
1394	sums_l(k,17,tn) + &
1395	0.61_wp * hom(k,1,4,sr) * &
1396	sums_l(k,49,tn) &
1397	) * heatflux_output_conversion(k) * flag
1398	END IF
1399	END IF
1400	temp = exner(k) * pt(k,j,i)
1401	e_s = magnus( temp )
1402	q_s = rd_d_rv * e_s / ( hyp(k) - e_s )
1403	rh_tmp = q(k,j,i) / q_s * 100.0_wp
1404	sums_l(k,130,tn) = sums_l(k,130,tn) + rh_tmp * rmask(j,i,sr) * flag
1405	ENDIF
1406	!
1407	!-- Passive scalar flux
1408	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca .OR. sr /= 0 ) ) THEN
1409	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1410	s(k+1,j,i) - hom(k+1,1,115,sr) )
1411	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * rmask(j,i,sr) * flag
1412	ENDIF
1413	#endif
1414
1415	!
1416	!-- Energy flux we
1417	!-- has to be adjusted
1418	!$ACC ATOMIC
1419	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1420	( ust2 + vst2 + w(k,j,i)**2 ) &
1421	* rho_air_zw(k) &
1422	* momentumflux_output_conversion(k) &
1423	* rmask(j,i,sr) * flag
1424	ENDDO
1425	ENDDO
1426	ENDDO
1427	!$OMP END PARALLEL
1428
1429	!$ACC UPDATE &
1430	!$ACC HOST(sums_l(:,12,tn), sums_l(:,14,tn), sums_l(:,16,tn)) &
1431	!$ACC HOST(sums_l(:,35,tn), sums_l(:,36,tn), sums_l(:,37,tn))
1432	!
1433	!-- Treat land-surface quantities according to new wall model structure.
1434	IF ( land_surface ) THEN
1435	tn = 0
1436	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1437	!$ tn = omp_get_thread_num()
1438	!$OMP DO
1439	DO m = 1, surf_lsm_h(0)%ns
1440	i = surf_lsm_h(0)%i(m)
1441	j = surf_lsm_h(0)%j(m)
1442
1443	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h(0)%ghf(m) * rmask(j,i,sr)
1444	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h(0)%qsws_liq(m) * rmask(j,i,sr)
1445	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h(0)%qsws_soil(m) * rmask(j,i,sr)
1446	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h(0)%qsws_veg(m) * rmask(j,i,sr)
1447	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h(0)%r_a(m) * rmask(j,i,sr)
1448	sums_l(nzb,98,tn) = sums_l(nzb,98,tn) + surf_lsm_h(0)%r_s(m) * rmask(j,i,sr)
1449	ENDDO
1450	!$OMP END PARALLEL
1451
1452	tn = 0
1453	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1454	!$ tn = omp_get_thread_num()
1455	!$OMP DO
1456	DO m = 1, surf_lsm_h(0)%ns
1457
1458	i = surf_lsm_h(0)%i(m)
1459	j = surf_lsm_h(0)%j(m)
1460	DO k = nzb_soil, nzt_soil
1461	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h(0)%var_2d(k,m) * rmask(j,i,sr)
1462	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h(0)%var_2d(k,m) * rmask(j,i,sr)
1463	ENDDO
1464	ENDDO
1465	!$OMP END PARALLEL
1466	ENDIF
1467	!
1468	!-- For speed optimization fluxes which have been computed in part directly inside the WS
1469	!-- advection routines are treated seperatly.
1470	!-- Momentum fluxes first:
1471
1472	tn = 0
1473	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
1474	!$ tn = omp_get_thread_num()
1475	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1476	!$OMP DO
1477	DO i = nxl, nxr
1478	DO j = nys, nyn
1479	DO k = nzb, nzt
1480	!
1481	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes, which are
1482	!-- added further below.
1483	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1484	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
1485
1486	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1487	u(k+1,j,i) - hom(k+1,1,1,sr) )
1488	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1489	v(k+1,j,i) - hom(k+1,1,2,sr) )
1490	!
1491	!-- Momentum flux wu
1492	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
1493	( w(k,j,i-1) + w(k,j,i) ) &
1494	* rho_air_zw(k) &
1495	* momentumflux_output_conversion(k) &
1496	* ust * rmask(j,i,sr) &
1497	* flag
1498	!
1499	!-- Momentum flux wv
1500	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * ( w(k,j-1,i) + w(k,j,i) ) &
1501	* rho_air_zw(k) &
1502	* momentumflux_output_conversion(k) &
1503	* vst * rmask(j,i,sr) &
1504	* flag
1505	ENDDO
1506	ENDDO
1507	ENDDO
1508
1509	ENDIF
1510	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1511	!$OMP DO
1512	DO i = nxl, nxr
1513	DO j = nys, nyn
1514	DO k = nzb, nzt
1515	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1516	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
1517	!
1518	!-- Vertical heat flux
1519	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1520	( pt(k,j,i) - hom(k,1,4,sr) + &
1521	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1522	* rho_air_zw(k) &
1523	* heatflux_output_conversion(k) &
1524	* w(k,j,i) * rmask(j,i,sr) * flag
1525	IF ( humidity ) THEN
1526	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1527	q(k+1,j,i) - hom(k+1,1,41,sr) )
1528	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1529	rho_air_zw(k) * &
1530	waterflux_output_conversion(k) * &
1531	rmask(j,i,sr) * flag
1532	ENDIF
1533	IF ( passive_scalar ) THEN
1534	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1535	s(k+1,j,i) - hom(k+1,1,115,sr) )
1536	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * rmask(j,i,sr) * flag
1537	ENDIF
1538	ENDDO
1539	ENDDO
1540	ENDDO
1541
1542	ENDIF
1543
1544	!
1545	!-- Density at top follows Neumann condition
1546	IF ( ocean_mode ) THEN
1547	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1548	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1549	ENDIF
1550
1551	!
1552	!-- Divergence of vertical flux of resolved scale energy and pressure fluctuations as well as
1553	!-- flux of pressure fluctuation itself (68).
1554	!-- First calculate the products, then the divergence.
1555	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1556	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) THEN
1557	sums_ll = 0.0_wp ! local array
1558
1559	!$OMP DO
1560	DO i = nxl, nxr
1561	DO j = nys, nyn
1562	DO k = nzb+1, nzt
1563	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1564
1565	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1566	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1567	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2 &
1568	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1569	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2 &
1570	+ w(k,j,i)*2 ) flag * rmask(j,i,sr)
1571
1572	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1573	* ( ( p(k,j,i) + p(k+1,j,i) ) &
1574	/ momentumflux_output_conversion(k) ) &
1575	* flag * rmask(j,i,sr)
1576
1577	ENDDO
1578	ENDDO
1579	ENDDO
1580	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1581	sums_ll(nzt+1,1) = 0.0_wp
1582	sums_ll(0,2) = 0.0_wp
1583	sums_ll(nzt+1,2) = 0.0_wp
1584
1585	DO k = nzb+1, nzt
1586	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1587	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1588	sums_l(k,68,tn) = sums_ll(k,2)
1589	ENDDO
1590	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1591	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1592	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1593
1594	ENDIF
1595
1596	!
1597	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1598	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) THEN
1599	!$OMP DO
1600	DO i = nxl, nxr
1601	DO j = nys, nyn
1602	DO k = nzb+1, nzt
1603
1604	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1605
1606	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1607	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1608	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1609	) * ddzw(k) &
1610	* flag * rmask(j,i,sr)
1611
1612	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1613	( km(k,j,i) + km(k+1,j,i) ) * &
1614	( e(k+1,j,i) - e(k,j,i) ) * ddzu(k+1) &
1615	) * flag * rmask(j,i,sr)
1616
1617	ENDDO
1618	ENDDO
1619	ENDDO
1620	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1621	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1622
1623	ENDIF
1624
1625	!
1626	!-- Horizontal heat fluxes (subgrid, resolved, total).
1627	!-- Do it only, if profiles shall be plotted.
1628	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1629
1630	!$OMP DO
1631	DO i = nxl, nxr
1632	DO j = nys, nyn
1633	DO k = nzb+1, nzt
1634	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1635	!
1636	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1637	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1638	( kh(k,j,i) + kh(k,j,i-1) ) &
1639	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1640	* rho_air_zw(k) &
1641	* heatflux_output_conversion(k) &
1642	* ddx * rmask(j,i,sr) * flag
1643	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1644	( kh(k,j,i) + kh(k,j-1,i) ) &
1645	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1646	* rho_air_zw(k) &
1647	* heatflux_output_conversion(k) &
1648	* ddy * rmask(j,i,sr) * flag
1649	!
1650	!-- Resolved horizontal heat fluxes upt, vpt
1651	sums_l(k,59,tn) = sums_l(k,59,tn) + ( u(k,j,i) - hom(k,1,1,sr) ) &
1652	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1653	pt(k,j,i) - hom(k,1,4,sr) ) &
1654	* heatflux_output_conversion(k) &
1655	* flag
1656	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1657	pt(k,j,i) - hom(k,1,4,sr) )
1658	sums_l(k,62,tn) = sums_l(k,62,tn) + ( v(k,j,i) - hom(k,1,2,sr) ) &
1659	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1660	pt(k,j,i) - hom(k,1,4,sr) ) &
1661	* heatflux_output_conversion(k) &
1662	* flag
1663	ENDDO
1664	ENDDO
1665	ENDDO
1666	!
1667	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1668	sums_l(nzb,58,tn) = 0.0_wp
1669	sums_l(nzb,59,tn) = 0.0_wp
1670	sums_l(nzb,60,tn) = 0.0_wp
1671	sums_l(nzb,61,tn) = 0.0_wp
1672	sums_l(nzb,62,tn) = 0.0_wp
1673	sums_l(nzb,63,tn) = 0.0_wp
1674
1675	ENDIF
1676	!$OMP END PARALLEL
1677
1678	!
1679	!-- Collect current large scale advection and subsidence tendencies for
1680	!-- data output
1681	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1682	!
1683	!-- Interpolation in time of LSF_DATA
1684	nt = 1
1685	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1686	nt = nt + 1
1687	ENDDO
1688	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1689	nt = nt - 1
1690	ENDIF
1691
1692	fac = ( simulated_time - dt_3d - time_vert(nt) ) / ( time_vert(nt+1)-time_vert(nt) )
1693
1694
1695	DO k = nzb, nzt
1696	sums_ls_l(k,0) = td_lsa_lpt(k,nt) + fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1697	sums_ls_l(k,1) = td_lsa_q(k,nt) + fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1698	ENDDO
1699
1700	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1701	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1702
1703	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1704
1705	DO k = nzb, nzt
1706	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * ( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1707	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * ( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1708	ENDDO
1709
1710	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1711	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1712
1713	ENDIF
1714
1715	ENDIF
1716
1717	tn = 0
1718	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1719	!$ tn = omp_get_thread_num()
1720	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1721	!$OMP DO
1722	DO i = nxl, nxr
1723	DO j = nys, nyn
1724	DO k = nzb+1, nzt+1
1725	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1726
1727	sums_l(k,100,tn) = sums_l(k,100,tn) + rad_lw_in(k,j,i) * rmask(j,i,sr) * flag
1728	sums_l(k,101,tn) = sums_l(k,101,tn) + rad_lw_out(k,j,i) * rmask(j,i,sr) * flag
1729	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_sw_in(k,j,i) * rmask(j,i,sr) * flag
1730	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_sw_out(k,j,i) * rmask(j,i,sr) * flag
1731	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_lw_cs_hr(k,j,i) * rmask(j,i,sr) * flag
1732	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_lw_hr(k,j,i) * rmask(j,i,sr) * flag
1733	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_sw_cs_hr(k,j,i) * rmask(j,i,sr) * flag
1734	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_sw_hr(k,j,i) * rmask(j,i,sr) * flag
1735	ENDDO
1736	ENDDO
1737	ENDDO
1738	ENDIF
1739
1740	!
1741	!-- Calculate the profiles for all other modules
1742	CALL module_interface_statistics( 'profiles', sr, tn, dots_max )
1743	!$OMP END PARALLEL
1744
1745	!
1746	!-- Summation of thread sums
1747	IF ( threads_per_task > 1 ) THEN
1748	DO i = 1, threads_per_task-1
1749	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1750	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1751	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1752	sums_l(:,45:pr_palm,i)
1753	IF ( max_pr_user > 0 ) THEN
1754	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1755	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1756	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1757	ENDIF
1758
1759	IF ( air_chemistry ) THEN
1760	IF ( max_pr_cs > 0 ) THEN
1761	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+ max_pr_cs,0) = &
1762	sums_l(:,pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs,0) + &
1763	sums_l(:,pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs,i)
1764
1765	ENDIF
1766	ENDIF
1767	IF ( salsa ) THEN
1768	IF ( max_pr_cs > 0 ) THEN
1769	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) = &
1770	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) + &
1771	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,i)
1772
1773	ENDIF
1774	ENDIF
1775	ENDDO
1776	ENDIF
1777
1778	#if defined( __parallel )
1779
1780	!
1781	!-- Compute total sum from local sums
1782	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1783	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, MPI_SUM, comm2d, ierr )
1784	IF ( large_scale_forcing ) THEN
1785	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, MPI_REAL, MPI_SUM, &
1786	comm2d, ierr )
1787	ENDIF
1788
1789	IF ( air_chemistry .AND. max_pr_cs > 0 ) THEN
1790	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1791	DO i = 1, max_pr_cs
1792	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+i,0), &
1793	sums(nzb,pr_palm+max_pr_user+i), &
1794	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1795	ENDDO
1796	ENDIF
1797
1798	IF ( salsa .AND. max_pr_salsa > 0 ) THEN
1799	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1800	DO i = 1, max_pr_salsa
1801	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+max_pr_cs+i,0), &
1802	sums(nzb,pr_palm+max_pr_user+max_pr_user+i), &
1803	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1804	ENDDO
1805	ENDIF
1806
1807	#else
1808	sums = sums_l(:,:,0)
1809	IF ( large_scale_forcing ) THEN
1810	sums(:,81:88) = sums_ls_l
1811	ENDIF
1812	#endif
1813
1814	!
1815	!-- Final values are obtained by division by the total number of grid points used for summation.
1816	!-- After that store profiles.
1817	!-- Check, if statistical regions do contain at least one grid point at the respective k-level,
1818	!-- otherwise division by zero will lead to undefined values, which may cause e.g. problems with
1819	!-- NetCDF output.
1820	!-- Profiles:
1821	DO k = nzb, nzt+1
1822	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1823	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1824	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1825	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1826	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1827	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1828	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1829
1830	IF ( land_surface .AND. surf_lsm_h(0)%ns_tot > 0 ) THEN
1831	sums(k,89:98) = sums(k,89:98) / surf_lsm_h(0)%ns_tot
1832	ENDIF
1833
1834	sums(k,99:112) = sums(k,99:112) / ngp_2dh(sr)
1835	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1836	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1837	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1838	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1839	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1840	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1841	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1842	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1843	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1844	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1845	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1846	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1847	sums(k,123:130) = sums(k,123:130) * ngp_2dh_s_inner(k,sr) / ngp_2dh(sr)
1848	ENDIF
1849	ENDDO
1850
1851	!-- u* and so on
1852	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose size is always
1853	!-- ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer above the topography, they are
1854	!-- divided by ngp_2dh(sr)
1855	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / ngp_2dh(sr)
1856	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / ngp_2dh(sr) ! qs
1857	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / ngp_2dh(sr) ! ss
1858	sums(nzb+14,pr_palm) = sums(nzb+14,pr_palm) / ngp_2dh(sr) ! surface temperature
1859
1860	!-- eges, e*
1861	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / ngp_3d(sr)
1862	!-- Old and new divergence
1863	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / ngp_3d_inner(sr)
1864
1865	!-- User-defined profiles
1866	IF ( max_pr_user > 0 ) THEN
1867	DO k = nzb, nzt+1
1868	sums(k,pr_palm+1:pr_palm+max_pr_user) = sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1869	ngp_2dh_s_inner(k,sr)
1870	ENDDO
1871	ENDIF
1872
1873	IF ( air_chemistry ) THEN
1874	IF ( max_pr_cs > 0 ) THEN
1875	DO k = nzb, nzt+1
1876	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) = &
1877	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) / &
1878	ngp_2dh_s_inner(k,sr)
1879	ENDDO
1880	ENDIF
1881	ENDIF
1882
1883	IF ( salsa ) THEN
1884	IF ( max_pr_salsa > 0 ) THEN
1885	DO k = nzb, nzt+1
1886	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) = &
1887	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) &
1888	/ ngp_2dh_s_inner(k,sr)
1889	ENDDO
1890	ENDIF
1891	ENDIF
1892
1893	!
1894	!-- Collect horizontal average in hom.
1895	!-- Compute deduced averages (e.g. total heat flux)
1896	hom(:,1,3,sr) = sums(:,3) ! w
1897	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1898	hom(:,1,9,sr) = sums(:,9) ! km
1899	hom(:,1,10,sr) = sums(:,10) ! kh
1900	hom(:,1,11,sr) = sums(:,11) ! l
1901	hom(:,1,12,sr) = sums(:,12) ! w"u"
1902	hom(:,1,13,sr) = sums(:,13) ! wu
1903	hom(:,1,14,sr) = sums(:,14) ! w"v"
1904	hom(:,1,15,sr) = sums(:,15) ! wv
1905	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1906	hom(:,1,17,sr) = sums(:,17) ! wpt
1907	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1908	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1909	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1910	hom(:,1,21,sr) = sums(:,21) ! wptBC
1911	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1912	! profile 24 is initial profile (sa)
1913	! profiles 25-29 left empty for initial
1914	! profiles
1915	hom(:,1,30,sr) = sums(:,30) ! u*2
1916	hom(:,1,31,sr) = sums(:,31) ! v*2
1917	hom(:,1,32,sr) = sums(:,32) ! w*2
1918	hom(:,1,33,sr) = sums(:,33) ! pt*2
1919	hom(:,1,34,sr) = sums(:,34) ! e*
1920	hom(:,1,35,sr) = sums(:,35) ! w2pt
1921	hom(:,1,36,sr) = sums(:,36) ! wpt2
1922	hom(:,1,37,sr) = sums(:,37) ! we
1923	hom(:,1,38,sr) = sums(:,38) ! w*3
1924	hom(:,1,39,sr) = sums(:,38) / ( ABS( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1925	hom(:,1,40,sr) = sums(:,40) ! p
1926	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1927	hom(:,1,46,sr) = sums(:,46) ! wvpt
1928	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1929	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1930	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1931	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1932	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1933	hom(:,1,52,sr) = sums(:,52) ! wqv
1934	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1935	hom(:,1,54,sr) = sums(:,54) ! ql
1936	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1937	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1938	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
1939	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1940	hom(:,1,59,sr) = sums(:,59) ! upt
1941	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1942	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1943	hom(:,1,62,sr) = sums(:,62) ! vpt
1944	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1945	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
1946	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1947	hom(:,1,66,sr) = sums(:,66) ! wsa
1948	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1949	hom(:,1,68,sr) = sums(:,68) ! wp
1950	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
1951	hom(:,1,70,sr) = sums(:,70) ! q*2
1952	hom(:,1,71,sr) = sums(:,71) ! prho
1953	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
1954	hom(:,1,123,sr) = sums(:,123) ! nc
1955	hom(:,1,124,sr) = sums(:,124) ! ni
1956	hom(:,1,125,sr) = sums(:,125) ! qi
1957	hom(:,1,126,sr) = sums(:,126) ! ng
1958	hom(:,1,127,sr) = sums(:,127) ! qg
1959	hom(:,1,128,sr) = sums(:,128) ! ns
1960	hom(:,1,129,sr) = sums(:,129) ! qs
1961	hom(:,1,130,sr) = sums(:,130) ! rh
1962	hom(:,1,73,sr) = sums(:,73) ! nr
1963	hom(:,1,74,sr) = sums(:,74) ! qr
1964	hom(:,1,75,sr) = sums(:,75) ! qc
1965	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1966	! 77 is initial density profile
1967	hom(:,1,78,sr) = ug ! ug
1968	hom(:,1,79,sr) = vg ! vg
1969	hom(:,1,80,sr) = w_subs ! w_subs
1970
1971	IF ( large_scale_forcing ) THEN
1972	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1973	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1974	IF ( use_subsidence_tendencies ) THEN
1975	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1976	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1977	ELSE
1978	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1979	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1980	ENDIF
1981	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1982	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1983	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1984	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1985	ENDIF
1986
1987	IF ( land_surface ) THEN
1988	hom(:,1,89,sr) = sums(:,89) ! t_soil
1989	! 90 is initial t_soil profile
1990	hom(:,1,91,sr) = sums(:,91) ! m_soil
1991	! 92 is initial m_soil profile
1992	hom(:,1,93,sr) = sums(:,93) ! ghf
1993	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
1994	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
1995	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
1996	hom(:,1,97,sr) = sums(:,97) ! r_a
1997	hom(:,1,98,sr) = sums(:,98) ! r_s
1998
1999	ENDIF
2000
2001	IF ( radiation ) THEN
2002	hom(:,1,99,sr) = sums(:,99) ! rad_net
2003	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
2004	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
2005	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
2006	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
2007
2008	IF ( radiation_scheme == 'rrtmg' ) THEN
2009	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
2010	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
2011	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
2012	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
2013
2014	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
2015	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
2016	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
2017	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
2018	ENDIF
2019	ENDIF
2020
2021	hom(:,1,112,sr) = sums(:,112) !: L
2022
2023	IF ( passive_scalar ) THEN
2024	hom(:,1,117,sr) = sums(:,117) ! w"s"
2025	hom(:,1,114,sr) = sums(:,114) ! ws
2026	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
2027	hom(:,1,116,sr) = sums(:,116) ! s*2
2028	ENDIF
2029
2030	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
2031	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
2032
2033	IF ( kolmogorov_length_scale ) THEN
2034	hom(:,1,121,sr) = sums(:,121) * 1E3_wp ! eta in mm
2035	ENDIF
2036
2037
2038	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
2039	! u, w'u', w'v', t (in last profile)
2040
2041	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
2042	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
2043	sums(:,pr_palm+1:pr_palm+max_pr_user)
2044	ENDIF
2045
2046	IF ( air_chemistry ) THEN
2047	IF ( max_pr_cs > 0 ) THEN ! chem_spcs profiles
2048	hom(:, 1, pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs, sr) = &
2049	sums(:, pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs)
2050	ENDIF
2051	ENDIF
2052
2053	IF ( salsa ) THEN
2054	IF ( max_pr_salsa > 0 ) THEN ! salsa profiles
2055	hom(:,1,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa, sr) = &
2056	sums(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa)
2057	ENDIF
2058	ENDIF
2059	!
2060	!-- Determine the boundary layer height using two different schemes.
2061	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the first relative
2062	!-- minimum (maximum) of the total heat flux.
2063	!-- The corresponding height is assumed as the boundary layer height, if it is less than 1.5
2064	!-- times the height where the heat flux becomes negative (positive) for the first time.
2065	!-- Attention: the resolved vertical sensible heat flux (hom(:,1,17,sr) = wpt) is not known at
2066	!-- the beginning because the calculation happens in advec_s_ws which is called after
2067	!-- flow_statistics. Therefore z_i is directly taken from restart data at the beginning of
2068	!-- restart runs.
2069	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .OR. &
2070	simulated_time_at_begin /= simulated_time ) THEN
2071
2072	z_i(1) = 0.0_wp
2073	first = .TRUE.
2074
2075	IF ( ocean_mode ) THEN
2076	DO k = nzt, nzb+1, -1
2077	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2078	first = .FALSE.
2079	height = zw(k)
2080	ENDIF
2081	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2082	IF ( zw(k) < 1.5_wp * height ) THEN
2083	z_i(1) = zw(k)
2084	ELSE
2085	z_i(1) = height
2086	ENDIF
2087	EXIT
2088	ENDIF
2089	ENDDO
2090	ELSE
2091	DO k = nzb, nzt-1
2092	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2093	first = .FALSE.
2094	height = zw(k)
2095	ENDIF
2096	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2097	IF ( zw(k) < 1.5_wp * height ) THEN
2098	z_i(1) = zw(k)
2099	ELSE
2100	z_i(1) = height
2101	ENDIF
2102	EXIT
2103	ENDIF
2104	ENDDO
2105	ENDIF
2106
2107	!
2108	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified by Uhlenbrock(2006).
2109	!-- The boundary layer height is the height with the maximal local temperature gradient:
2110	!-- starting from the second (the last but one) vertical gridpoint, the local gradient must be
2111	!-- at least 0.2K/100m and greater than the next four gradients.
2112	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2113	!-- ocean case!
2114	z_i(2) = 0.0_wp
2115	DO k = nzb+1, nzt+1
2116	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2117	ENDDO
2118	dptdz_threshold = 0.2_wp / 100.0_wp
2119
2120	IF ( ocean_mode ) THEN
2121	DO k = nzt+1, nzb+5, -1
2122	IF ( dptdz(k) > dptdz_threshold .AND. &
2123	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
2124	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2125	z_i(2) = zw(k-1)
2126	EXIT
2127	ENDIF
2128	ENDDO
2129	ELSE
2130	DO k = nzb+1, nzt-3
2131	IF ( dptdz(k) > dptdz_threshold .AND. &
2132	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
2133	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2134	z_i(2) = zw(k-1)
2135	EXIT
2136	ENDIF
2137	ENDDO
2138	ENDIF
2139
2140	ENDIF
2141
2142	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2143	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2144
2145	!
2146	!-- Determine vertical index which is nearest to the mean surface level height of the respective
2147	!-- statistic region
2148	DO k = nzb, nzt
2149	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
2150	k_surface_level = k
2151	EXIT
2152	ENDIF
2153	ENDDO
2154
2155	!
2156	!-- Computation of both the characteristic vertical velocity and the characteristic convective
2157	!-- boundary layer temperature.
2158	!-- The inversion height entering into the equation is defined with respect to the mean surface
2159	!-- level height of the respective statistic region.
2160	!-- The horizontal average at surface level index + 1 is input for the average temperature.
2161	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp ) THEN
2162	hom(nzb+8,1,pr_palm,sr) = &
2163	( g / hom(k_surface_level+1,1,4,sr) * &
2164	( hom(k_surface_level,1,18,sr) / &
2165	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
2166	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
2167	ELSE
2168	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
2169	ENDIF
2170
2171	!
2172	!-- Collect the time series quantities. Please note, timeseries quantities which are collected
2173	!-- from horizontally averaged profiles, e.g. wpt or pt(zp), are treated specially. In case of
2174	!-- elevated model surfaces, index nzb+1 might be within topography and data will be zero.
2175	!-- Therefore, take value for the first atmosphere index, which is topo_min_level+1.
2176	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2177	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2178	ts_value(3,sr) = dt_3d
2179	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2180	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2181	ts_value(6,sr) = u_max
2182	ts_value(7,sr) = v_max
2183	ts_value(8,sr) = w_max
2184	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2185	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2186	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2187	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2188	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2189	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2190	ts_value(15,sr) = hom(topo_min_level+1,1,16,sr) ! w'pt' at k=1
2191	ts_value(16,sr) = hom(topo_min_level+1,1,18,sr) ! wpt at k=1
2192	ts_value(17,sr) = hom(nzb+14,1,pr_palm,sr) ! pt(0)
2193	ts_value(18,sr) = hom(topo_min_level+1,1,4,sr) ! pt(zp)
2194	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2195	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2196	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2197
2198	IF ( .NOT. neutral ) THEN
2199	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
2200	ELSE
2201	ts_value(22,sr) = 1.0E10_wp
2202	ENDIF
2203
2204	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2205
2206	IF ( passive_scalar ) THEN
2207	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
2208	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
2209	ENDIF
2210
2211	!
2212	!-- Collect land surface model timeseries
2213	IF ( land_surface ) THEN
2214	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2215	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2216	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2217	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2218	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2219	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2220	ENDIF
2221	!
2222	!-- Collect radiation model timeseries
2223	IF ( radiation ) THEN
2224	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2225	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2226	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2227	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2228	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2229
2230	IF ( radiation_scheme == 'rrtmg' ) THEN
2231	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2232	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2233	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2234	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2235	ENDIF
2236
2237	ENDIF
2238
2239	!
2240	!-- Calculate additional statistics provided by other modules
2241	CALL module_interface_statistics( 'time_series', sr, 0, dots_max )
2242
2243	ENDDO ! loop of the subregions
2244
2245	!
2246	!-- If required, sum up horizontal averages for subsequent time averaging.
2247	!-- Do not sum, if flow statistics is called before the first initial time step.
2248	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2249	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2250	hom_sum = hom_sum + hom(:,1,:,:)
2251	average_count_pr = average_count_pr + 1
2252	do_sum = .FALSE.
2253	ENDIF
2254
2255	!
2256	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2257	!-- This flag is reset after each time step in time_integration.
2258	flow_statistics_called = .TRUE.
2259
2260	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2261
2262
2263	END SUBROUTINE flow_statistics

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