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source: palm/trunk/SOURCE/flow_statistics.f90 @ 4755

Last change on this file since 4755 was 4742, checked in by schwenkel, 4 years ago
Implement snow and graupel (bulk microphysics)
Property svn:keywords set to `Id`
File size: 118.5 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 4742 2020-10-14 15:11:02Z schwenkel $
26	! Implement snow and graupel (bulk microphysics)
27	!
28	! 4703 2020-09-28 09:21:45Z suehring
29	! Revise averaging of land-surface quantities
30	!
31	! 4672 2020-09-09 21:27:32Z pavelkrc
32	! OpenACC bugfix
33	!
34	! 4671 2020-09-09 20:27:58Z pavelkrc
35	! Implementation of downward facing USM and LSM surfaces
36	!
37	! 4646 2020-08-24 16:02:40Z raasch
38	! file re-formatted to follow the PALM coding standard
39	!
40	! 4581 2020-06-29 08:49:58Z suehring
41	! Formatting adjustment
42	!
43	! 4551 2020-06-02 10:22:25Z suehring
44	! Bugfix in summation for statistical regions
45	!
46	! 4521 2020-05-06 11:39:49Z schwenkel
47	! Rename variable
48	!
49	! 4502 2020-04-17 16:14:16Z schwenkel
50	! Implementation of ice microphysics
51	!
52	! 4472 2020-03-24 12:21:00Z Giersch
53	! Calculations of the Kolmogorov lengt scale eta implemented
54	!
55	! 4464 2020-03-17 11:08:46Z Giersch
56	! Reset last change (r4463)
57	!
58	! 4463 2020-03-17 09:27:36Z Giersch
59	! Calculate horizontally averaged profiles of all velocity components at the same place
60	!
61	! 4444 2020-03-05 15:59:50Z raasch
62	! bugfix: cpp-directives for serial mode added
63	!
64	! 4442 2020-03-04 19:21:13Z suehring
65	! Change order of dimension in surface array %frac to allow for better vectorization.
66	!
67	! 4441 2020-03-04 19:20:35Z suehring
68	! Introduction of wall_flags_total_0, which currently sets bits based on static topography
69	! information used in wall_flags_static_0
70	!
71	! 4329 2019-12-10 15:46:36Z motisi
72	! Renamed wall_flags_0 to wall_flags_static_0
73	!
74	! 4182 2019-08-22 15:20:23Z scharf
75	! Corrected "Former revisions" section
76	!
77	! 4131 2019-08-02 11:06:18Z monakurppa
78	! Allow profile output for salsa variables.
79	!
80	! 4039 2019-06-18 10:32:41Z suehring
81	! Correct conversion to kinematic scalar fluxes in case of pw-scheme and statistic regions
82	!
83	! 3828 2019-03-27 19:36:23Z raasch
84	! unused variables removed
85	!
86	! 3676 2019-01-16 15:07:05Z knoop
87	! Bugfix, terminate OMP Parallel block
88	!
89	! Revision 1.1 1997/08/11 06:15:17 raasch
90	! Initial revision
91	!
92	!
93	! Description:
94	! ------------
95	!> Compute average profiles and further average flow quantities for the different user-defined
96	!> (sub-)regions. The region indexed 0 is the total model domain.
97	!>
98	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are used as a lower vertical index for
99	!> k-loops for all variables, although strictly speaking the k-loops would have to be split
100	!> up according to the staggered grid. However, this implies no error since staggered velocity
101	!> components are zero at the walls and inside buildings.
102	!--------------------------------------------------------------------------------------------------!
103	SUBROUTINE flow_statistics
104
105
106	USE arrays_3d, &
107	ONLY: ddzu, ddzw, d_exner, e, heatflux_output_conversion, hyp, km, kh, &
108	momentumflux_output_conversion, &
109	nc, ni, ng, nr, ns, p, prho, prr, pt, q, qc, qi, qg, ql, qr, qs, &
110	rho_air, rho_air_zw, rho_ocean, s, sa, u, ug, v, vg, vpt, w, w_subs, &
111	waterflux_output_conversion, zw
112
113	USE basic_constants_and_equations_mod, &
114	ONLY: g, lv_d_cp
115
116	USE bulk_cloud_model_mod, &
117	ONLY: bulk_cloud_model, graupel, snow, microphysics_morrison, microphysics_seifert, &
118	microphysics_ice_phase
119
120	USE chem_modules, &
121	ONLY: max_pr_cs
122
123	USE control_parameters, &
124	ONLY: air_chemistry, average_count_pr, cloud_droplets, do_sum, dt_3d, humidity, &
125	initializing_actions, kolmogorov_length_scale, land_surface, large_scale_forcing, &
126	large_scale_subsidence, max_pr_salsa, max_pr_user, message_string, neutral, &
127	ocean_mode, passive_scalar, salsa, simulated_time, simulated_time_at_begin, &
128	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, ws_scheme_mom, &
129	ws_scheme_sca
130
131	USE cpulog, &
132	ONLY: cpu_log, log_point
133
134	USE grid_variables, &
135	ONLY: ddx, ddy
136
137	USE indices, &
138	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, nxl, nxr, nyn, nys, nzb, nzt, &
139	topo_min_level, wall_flags_total_0
140
141	#if defined( __parallel )
142	USE indices, &
143	ONLY: ngp_sums, ngp_sums_ls
144	#endif
145
146	USE kinds
147
148	USE land_surface_model_mod, &
149	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
150
151	USE lsf_nudging_mod, &
152	ONLY: td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert
153
154	USE module_interface, &
155	ONLY: module_interface_statistics
156
157	USE netcdf_interface, &
158	ONLY: dots_rad, dots_soil, dots_max
159
160	USE pegrid
161
162	USE radiation_model_mod, &
163	ONLY: radiation, radiation_scheme, &
164	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
165	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
166
167	USE statistics
168
169	USE surface_mod, &
170	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
171
172
173	IMPLICIT NONE
174
175	INTEGER(iwp) :: i !<
176	INTEGER(iwp) :: j !<
177	INTEGER(iwp) :: k !<
178	INTEGER(iwp) :: ki !<
179	INTEGER(iwp) :: k_surface_level !<
180	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
181	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
182	INTEGER(iwp) :: nt !<
183	!$ INTEGER(iwp) :: omp_get_thread_num !<
184	INTEGER(iwp) :: sr !<
185	INTEGER(iwp) :: tn !<
186
187	LOGICAL :: first !<
188
189	REAL(wp) :: dissipation !< dissipation rate
190	REAL(wp) :: dptdz_threshold !<
191	REAL(wp) :: du_dx !< Derivative of u fluctuations with respect to x
192	REAL(wp) :: du_dy !< Derivative of u fluctuations with respect to y
193	REAL(wp) :: du_dz !< Derivative of u fluctuations with respect to z
194	REAL(wp) :: dv_dx !< Derivative of v fluctuations with respect to x
195	REAL(wp) :: dv_dy !< Derivative of v fluctuations with respect to y
196	REAL(wp) :: dv_dz !< Derivative of v fluctuations with respect to z
197	REAL(wp) :: dw_dx !< Derivative of w fluctuations with respect to x
198	REAL(wp) :: dw_dy !< Derivative of w fluctuations with respect to y
199	REAL(wp) :: dw_dz !< Derivative of w fluctuations with respect to z
200	REAL(wp) :: eta !< Kolmogorov length scale
201	REAL(wp) :: fac !<
202	REAL(wp) :: flag !<
203	REAL(wp) :: height !<
204	REAL(wp) :: pts !<
205	REAL(wp) :: s11 !< fluctuating rate-of-strain tensor component 11
206	REAL(wp) :: s21 !< fluctuating rate-of-strain tensor component 21
207	REAL(wp) :: s31 !< fluctuating rate-of-strain tensor component 31
208	REAL(wp) :: s12 !< fluctuating rate-of-strain tensor component 12
209	REAL(wp) :: s22 !< fluctuating rate-of-strain tensor component 22
210	REAL(wp) :: s32 !< fluctuating rate-of-strain tensor component 32
211	REAL(wp) :: s13 !< fluctuating rate-of-strain tensor component 13
212	REAL(wp) :: s23 !< fluctuating rate-of-strain tensor component 23
213	REAL(wp) :: s33 !< fluctuating rate-of-strain tensor component 33
214	REAL(wp) :: sums_l_etot !<
215	REAL(wp) :: ust !<
216	REAL(wp) :: ust2 !<
217	REAL(wp) :: u2 !<
218	REAL(wp) :: vst !<
219	REAL(wp) :: vst2 !<
220	REAL(wp) :: v2 !<
221	REAL(wp) :: w2 !<
222
223	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
224	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
225
226
227	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
228
229
230	!
231	!-- To be on the safe side, check whether flow_statistics has already been called once after the
232	!-- current time step.
233	IF ( flow_statistics_called ) THEN
234
235	message_string = 'flow_statistics is called two times within one ' // 'timestep'
236	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
237
238	ENDIF
239
240	!
241	!-- Compute statistics for each (sub-)region
242	DO sr = 0, statistic_regions
243
244	!
245	!-- Initialize (local) summation array
246	sums_l = 0.0_wp
247	#ifdef _OPENACC
248	!$ACC KERNELS PRESENT(sums_l)
249	sums_l = 0.0_wp
250	!$ACC END KERNELS
251	#endif
252
253	!
254	!-- Store sums that have been computed in other subroutines in summation array
255	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
256	!-- WARNING: next line still has to be adjusted for OpenMP
257	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
258	heatflux_output_conversion ! heat flux from advec_s_bc
259	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
260	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
261
262	!
263	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-scale) vertical fluxes
264	!-- and velocity variances by using commonly-applied Reynolds-based methods
265	!-- ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) ) in combination with the 5th order advection scheme,
266	!-- pronounced artificial kinks could be observed in the vertical profiles near the surface.
267	!-- Please note: these kinks were not related to the model truth, i.e. these kinks are just
268	!-- related to an evaluation problem.
269	!-- In order avoid these kinks, vertical fluxes and horizontal as well vertical velocity
270	!-- variances are calculated directly within the advection routines, according to the numerical
271	!-- discretization, to evaluate the statistical quantities as they will appear within the
272	!-- prognostic equations.
273	!-- Copy the turbulent quantities, evaluated in the advection routines to the local array
274	!-- sums_l() for further computations.
275	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
276
277	!
278	!-- According to the Neumann bc for the horizontal velocity components, the corresponding
279	!-- fluxes has to satisfiy the same bc.
280	IF ( ocean_mode ) THEN
281	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
282	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
283	ENDIF
284
285	DO i = 0, threads_per_task-1
286	!
287	!-- Swap the turbulent quantities evaluated in advec_ws.
288	sums_l(:,13,i) = sums_wsus_ws_l(:,i) * momentumflux_output_conversion ! wu
289	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) * momentumflux_output_conversion ! wv
290	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
291	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
292	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
293	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
294	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + sums_ws2_ws_l(:,i) ) ! e*
295	ENDDO
296
297	ENDIF
298
299	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
300
301	DO i = 0, threads_per_task-1
302	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
303	* heatflux_output_conversion ! wpt
304	IF ( ocean_mode ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
305	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
306	* waterflux_output_conversion ! wq
307	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
308	ENDDO
309
310	ENDIF
311	!
312	!-- Horizontally averaged profiles of horizontal velocities and temperature.
313	!-- They must have been computed before, because they are already required for other horizontal
314	!-- averages.
315	tn = 0
316	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
317	!$ tn = omp_get_thread_num()
318	!$OMP DO
319	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag) &
320	!$ACC PRESENT(wall_flags_total_0, u, v, pt, rmask, sums_l)
321	DO i = nxl, nxr
322	DO j = nys, nyn
323	DO k = nzb, nzt+1
324	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
325	!$ACC ATOMIC
326	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) * flag
327	!$ACC ATOMIC
328	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) * flag
329	!$ACC ATOMIC
330	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) * flag
331	ENDDO
332	ENDDO
333	ENDDO
334	!$ACC UPDATE HOST(sums_l(:,1,tn), sums_l(:,2,tn), sums_l(:,4,tn))
335
336	!
337	!-- Horizontally averaged profile of salinity
338	IF ( ocean_mode ) THEN
339	!$OMP DO
340	DO i = nxl, nxr
341	DO j = nys, nyn
342	DO k = nzb, nzt+1
343	sums_l(k,23,tn) = sums_l(k,23,tn) + sa(k,j,i) &
344	* rmask(j,i,sr) &
345	* MERGE( 1.0_wp, 0.0_wp, &
346	BTEST( wall_flags_total_0(k,j,i), 22 ) )
347	ENDDO
348	ENDDO
349	ENDDO
350	ENDIF
351
352	!
353	!-- Horizontally averaged profiles of virtual potential temperature, total water content, water
354	!-- vapor mixing ratio and liquid water potential temperature
355	IF ( humidity ) THEN
356	!$OMP DO
357	DO i = nxl, nxr
358	DO j = nys, nyn
359	DO k = nzb, nzt+1
360	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
361	sums_l(k,44,tn) = sums_l(k,44,tn) + vpt(k,j,i) * rmask(j,i,sr) * flag
362	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr) * flag
363	ENDDO
364	ENDDO
365	ENDDO
366	IF ( bulk_cloud_model ) THEN
367	!$OMP DO
368	DO i = nxl, nxr
369	DO j = nys, nyn
370	DO k = nzb, nzt+1
371	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
372	sums_l(k,42,tn) = sums_l(k,42,tn) + &
373	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) * flag
374	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
375	pt(k,j,i) + lv_d_cp * d_exner(k) * ql(k,j,i) &
376	) * rmask(j,i,sr) * flag
377	ENDDO
378	ENDDO
379	ENDDO
380	ENDIF
381	ENDIF
382
383	!
384	!-- Horizontally averaged profiles of passive scalar
385	IF ( passive_scalar ) THEN
386	!$OMP DO
387	DO i = nxl, nxr
388	DO j = nys, nyn
389	DO k = nzb, nzt+1
390	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
391	* rmask(j,i,sr) &
392	* MERGE( 1.0_wp, 0.0_wp, &
393	BTEST( wall_flags_total_0(k,j,i), 22 ) )
394	ENDDO
395	ENDDO
396	ENDDO
397	ENDIF
398	!$OMP END PARALLEL
399	!
400	!-- Summation of thread sums
401	IF ( threads_per_task > 1 ) THEN
402	DO i = 1, threads_per_task-1
403	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
404	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
405	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
406	IF ( ocean_mode ) THEN
407	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
408	ENDIF
409	IF ( humidity ) THEN
410	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
411	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
412	IF ( bulk_cloud_model ) THEN
413	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
414	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
415	ENDIF
416	ENDIF
417	IF ( passive_scalar ) THEN
418	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
419	ENDIF
420	ENDDO
421	ENDIF
422
423	#if defined( __parallel )
424	!
425	!-- Compute total sum from local sums
426	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
427	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
428	ierr )
429	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
430	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
431	ierr )
432	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
433	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, &
434	ierr )
435	IF ( ocean_mode ) THEN
436	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
437	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
438	ierr )
439	ENDIF
440	IF ( humidity ) THEN
441	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
442	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
443	ierr )
444	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
445	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d,&
446	ierr )
447	IF ( bulk_cloud_model ) THEN
448	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
449	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, MPI_REAL, MPI_SUM, &
450	comm2d, ierr )
451	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
452	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, MPI_REAL, MPI_SUM, &
453	comm2d, ierr )
454	ENDIF
455	ENDIF
456
457	IF ( passive_scalar ) THEN
458	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
459	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, MPI_REAL, MPI_SUM, &
460	comm2d, ierr )
461	ENDIF
462	#else
463	sums(:,1) = sums_l(:,1,0)
464	sums(:,2) = sums_l(:,2,0)
465	sums(:,4) = sums_l(:,4,0)
466	IF ( ocean_mode ) sums(:,23) = sums_l(:,23,0)
467	IF ( humidity ) THEN
468	sums(:,44) = sums_l(:,44,0)
469	sums(:,41) = sums_l(:,41,0)
470	IF ( bulk_cloud_model ) THEN
471	sums(:,42) = sums_l(:,42,0)
472	sums(:,43) = sums_l(:,43,0)
473	ENDIF
474	ENDIF
475	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
476	#endif
477
478	!
479	!-- Final values are obtained by division by the total number of grid points used for summation.
480	!-- After that store profiles.
481	sums(:,1) = sums(:,1) / ngp_2dh(sr)
482	sums(:,2) = sums(:,2) / ngp_2dh(sr)
483	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
484	hom(:,1,1,sr) = sums(:,1) ! u
485	hom(:,1,2,sr) = sums(:,2) ! v
486	hom(:,1,4,sr) = sums(:,4) ! pt
487	!$ACC UPDATE DEVICE(hom(:,1,1,sr), hom(:,1,2,sr), hom(:,1,4,sr))
488
489
490	!
491	!-- Salinity
492	IF ( ocean_mode ) THEN
493	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
494	hom(:,1,23,sr) = sums(:,23) ! sa
495	ENDIF
496
497	!
498	!-- Humidity and cloud parameters
499	IF ( humidity ) THEN
500	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
501	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
502	hom(:,1,44,sr) = sums(:,44) ! vpt
503	hom(:,1,41,sr) = sums(:,41) ! qv (q)
504	IF ( bulk_cloud_model ) THEN
505	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
506	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
507	hom(:,1,42,sr) = sums(:,42) ! qv
508	hom(:,1,43,sr) = sums(:,43) ! pt
509	ENDIF
510	ENDIF
511
512	!
513	!-- Passive scalar
514	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / ngp_2dh_s_inner(:,sr) ! s
515
516	!
517	!-- Horizontally averaged profiles of the remaining prognostic variables, variances, the total
518	!-- and the perturbation energy (single values in last column of sums_l) and some diagnostic
519	!-- quantities.
520	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly speaking the following
521	!-- ---- k-loop would have to be split up and rearranged according to the staggered grid.
522	!-- However, this implies no error since staggered velocity components are zero at the
523	!-- walls and inside buildings.
524	tn = 0
525	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, &
526	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
527	!$OMP w2, flag, m, ki, l )
528	!$ tn = omp_get_thread_num()
529	!$OMP DO
530	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, m) &
531	!$ACC PRIVATE(sums_l_etot, flag, du_dx, du_dy, du_dz) &
532	!$ACC PRIVATE(dv_dx, dv_dy, dv_dz, dw_dx, dw_dy, dw_dz) &
533	!$ACC PRIVATE(s11, s21, s31, s12, s22, s32, s13, s23, s33) &
534	!$ACC PRIVATE(dissipation, eta) &
535	!$ACC PRESENT(wall_flags_total_0, rmask, momentumflux_output_conversion) &
536	!$ACC PRESENT(hom(:,1,1:2,sr), hom(:,1,4,sr)) &
537	!$ACC PRESENT(e, u, v, w, km, kh, p, pt) &
538	!$ACC PRESENT(ddx, ddy, ddzu, ddzw) &
539	!$ACC PRESENT(surf_def_h(0), surf_lsm_h(0), surf_usm_h(0)) &
540	!$ACC PRESENT(sums_l)
541	DO i = nxl, nxr
542	DO j = nys, nyn
543	sums_l_etot = 0.0_wp
544	DO k = nzb, nzt+1
545	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
546	!
547	!-- Prognostic and diagnostic variables
548	!$ACC ATOMIC
549	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) * flag
550	!$ACC ATOMIC
551	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) * flag
552	!$ACC ATOMIC
553	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) * flag
554	!$ACC ATOMIC
555	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) * flag
556	!$ACC ATOMIC
557	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
558	/ momentumflux_output_conversion(k) ) * flag
559
560	!$ACC ATOMIC
561	sums_l(k,33,tn) = sums_l(k,33,tn) + &
562	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr) * flag
563	#ifndef _OPENACC
564	IF ( humidity ) THEN
565	sums_l(k,70,tn) = sums_l(k,70,tn) + &
566	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr) * flag
567	ENDIF
568	IF ( passive_scalar ) THEN
569	sums_l(k,116,tn) = sums_l(k,116,tn) + &
570	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr) * flag
571	ENDIF
572	#endif
573	!
574	!-- Higher moments
575	!-- (Computation of the skewness of w further below)
576	!$ACC ATOMIC
577	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) * flag
578
579	sums_l_etot = sums_l_etot + 0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + w(k,j,i)**2 ) &
580	* rmask(j,i,sr) * flag
581
582	!
583	!-- Computation of the Kolmogorov length scale. Calculation is based on gradients of the
584	!-- deviations from the horizontal mean.
585	!-- Kolmogorov scale at the boundaries (k=0/z=0m and k=nzt+1) is set to zero.
586	IF ( kolmogorov_length_scale .AND. k /= nzb .AND. k /= nzt+1) THEN
587	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
588
589	!
590	!-- Calculate components of the fluctuating rate-of-strain tensor
591	!-- (0.5*(del u'_i/del x_j + del u'_j/del x_i)) defined in the center of each grid
592	!-- box.
593	du_dx = ( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
594	( u(k,j,i) - hom(k,1,1,sr) ) ) * ddx
595	du_dy = 0.25_wp * ddy * &
596	( ( u(k,j+1,i) - hom(k,1,1,sr) ) - &
597	( u(k,j-1,i) - hom(k,1,1,sr) ) + &
598	( u(k,j+1,i+1) - hom(k,1,1,sr) ) - &
599	( u(k,j-1,i+1) - hom(k,1,1,sr) ) )
600	du_dz = 0.25_wp * ( ( ( u(k+1,j,i) - hom(k+1,1,1,sr) ) - &
601	( u(k,j,i) - hom(k,1,1,sr) ) ) * &
602	ddzu(k+1) + &
603	( ( u(k,j,i) - hom(k,1,1,sr) ) - &
604	( u(k-1,j,i) - hom(k-1,1,1,sr) ) ) * &
605	ddzu(k) + &
606	( ( u(k+1,j,i+1) - hom(k+1,1,1,sr) ) - &
607	( u(k,j,i+1) - hom(k,1,1,sr) ) ) * &
608	ddzu(k+1) + &
609	( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
610	( u(k-1,j,i+1) - hom(k-1,1,1,sr) ) ) * &
611	ddzu(k) )
612
613	dv_dx = 0.25_wp * ddx * &
614	( ( v(k,j,i+1) - hom(k,1,2,sr) ) - &
615	( v(k,j,i-1) - hom(k,1,2,sr) ) + &
616	( v(k,j+1,i+1) - hom(k,1,2,sr) ) - &
617	( v(k,j+1,i-1) - hom(k,1,2,sr) ) )
618	dv_dy = ( ( v(k,j+1,i) - hom(k,1,2,sr) ) - ( v(k,j,i) - hom(k,1,2,sr) ) ) * ddy
619	dv_dz = 0.25_wp * ( ( ( v(k+1,j,i) - hom(k+1,1,2,sr) ) - &
620	( v(k,j,i) - hom(k,1,2,sr) ) ) * &
621	ddzu(k+1) + &
622	( ( v(k,j,i) - hom(k,1,2,sr) ) - &
623	( v(k-1,j,i) - hom(k-1,1,2,sr) ) ) * &
624	ddzu(k) + &
625	( ( v(k+1,j+1,i) - hom(k+1,1,2,sr) ) - &
626	( v(k,j+1,i) - hom(k,1,2,sr) ) ) * &
627	ddzu(k+1) + &
628	( ( v(k,j+1,i) - hom(k,1,2,sr) ) - &
629	( v(k-1,j+1,i) - hom(k-1,1,2,sr) ) ) * &
630	ddzu(k) )
631
632	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) )
633	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) )
634	dw_dz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
635
636	s11 = 0.5_wp * ( du_dx + du_dx )
637	s21 = 0.5_wp * ( dv_dx + du_dy )
638	s31 = 0.5_wp * ( dw_dx + du_dz )
639
640	s12 = s21
641	s22 = 0.5 * ( dv_dy + dv_dy )
642	s32 = 0.5 * ( dw_dy + dv_dz )
643
644	s13 = s31
645	s23 = s32
646	s33 = 0.5_wp * ( dw_dz + dw_dz )
647
648	!-- Calculate 3D instantaneous energy dissipation rate following Pope (2000):
649	!-- Turbulent flows, p.259. It is defined in the center of each grid volume.
650	dissipation = 2.0_wp * km(k,j,i) * &
651	( s11s11 + s21s21 + s31*s31 + &
652	s12s12 + s22s22 + s32*s32 + &
653	s13s13 + s23s23 + s33*s33 )
654	eta = ( km(k,j,i)3.0_wp / ( dissipation+1.0E-12 ) )(1.0_wp/4.0_wp)
655
656	!$ACC ATOMIC
657	sums_l(k,121,tn) = sums_l(k,121,tn) + eta * rmask(j,i,sr) * flag
658
659
660	ENDIF !Kolmogorov length scale
661
662	ENDDO !k-loop
663	!
664	!-- Total and perturbation energy for the total domain (being collected in the last column
665	!-- of sums_l). Summation of these quantities is seperated from the previous loop in order
666	!-- to allow vectorization of that loop.
667	!$ACC ATOMIC
668	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
669	!
670	!-- 2D-arrays (being collected in the last column of sums_l)
671	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
672	m = surf_def_h(0)%start_index(j,i)
673	!$ACC ATOMIC
674	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
675	surf_def_h(0)%us(m) * rmask(j,i,sr)
676	!$ACC ATOMIC
677	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
678	surf_def_h(0)%usws(m) * rmask(j,i,sr)
679	!$ACC ATOMIC
680	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
681	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
682	!$ACC ATOMIC
683	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
684	surf_def_h(0)%ts(m) * rmask(j,i,sr)
685	#ifndef _OPENACC
686	IF ( humidity ) THEN
687	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
688	surf_def_h(0)%qs(m) * rmask(j,i,sr)
689	ENDIF
690	IF ( passive_scalar ) THEN
691	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
692	surf_def_h(0)%ss(m) * rmask(j,i,sr)
693	ENDIF
694	#endif
695	!
696	!-- Summation of surface temperature.
697	!$ACC ATOMIC
698	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
699	surf_def_h(0)%pt_surface(m) * rmask(j,i,sr)
700	ENDIF
701	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
702	m = surf_lsm_h(0)%start_index(j,i)
703	!$ACC ATOMIC
704	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
705	surf_lsm_h(0)%us(m) * rmask(j,i,sr)
706	!$ACC ATOMIC
707	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
708	surf_lsm_h(0)%usws(m) * rmask(j,i,sr)
709	!$ACC ATOMIC
710	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
711	surf_lsm_h(0)%vsws(m) * rmask(j,i,sr)
712	!$ACC ATOMIC
713	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
714	surf_lsm_h(0)%ts(m) * rmask(j,i,sr)
715	#ifndef _OPENACC
716	IF ( humidity ) THEN
717	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
718	surf_lsm_h(0)%qs(m) * rmask(j,i,sr)
719	ENDIF
720	IF ( passive_scalar ) THEN
721	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
722	surf_lsm_h(0)%ss(m) * rmask(j,i,sr)
723	ENDIF
724	#endif
725	!
726	!-- Summation of surface temperature.
727	!$ACC ATOMIC
728	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
729	surf_lsm_h(0)%pt_surface(m) * rmask(j,i,sr)
730	ENDIF
731	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
732	m = surf_usm_h(0)%start_index(j,i)
733	!$ACC ATOMIC
734	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
735	surf_usm_h(0)%us(m) * rmask(j,i,sr)
736	!$ACC ATOMIC
737	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
738	surf_usm_h(0)%usws(m) * rmask(j,i,sr)
739	!$ACC ATOMIC
740	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
741	surf_usm_h(0)%vsws(m) * rmask(j,i,sr)
742	!$ACC ATOMIC
743	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
744	surf_usm_h(0)%ts(m) * rmask(j,i,sr)
745	#ifndef _OPENACC
746	IF ( humidity ) THEN
747	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
748	surf_usm_h(0)%qs(m) * rmask(j,i,sr)
749	ENDIF
750	IF ( passive_scalar ) THEN
751	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
752	surf_usm_h(0)%ss(m) * rmask(j,i,sr)
753	ENDIF
754	#endif
755	!
756	!-- Summation of surface temperature.
757	!$ACC ATOMIC
758	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
759	surf_usm_h(0)%pt_surface(m) * rmask(j,i,sr)
760	ENDIF
761	ENDDO !j-loop
762	ENDDO !i-loop
763	!$ACC UPDATE &
764	!$ACC HOST(sums_l(:,3,tn), sums_l(:,8,tn), sums_l(:,9,tn)) &
765	!$ACC HOST(sums_l(:,10,tn), sums_l(:,40,tn), sums_l(:,33,tn)) &
766	!$ACC HOST(sums_l(:,38,tn), sums_l(:,121,tn)) &
767	!$ACC HOST(sums_l(nzb:nzb+4,pr_palm,tn), sums_l(nzb+14:nzb+14,pr_palm,tn))
768
769	!
770	!-- Computation of statistics when ws-scheme is not used. Else these
771	!-- quantities are evaluated in the advection routines.
772	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) THEN
773	!$OMP DO
774	DO i = nxl, nxr
775	DO j = nys, nyn
776	DO k = nzb, nzt+1
777	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
778
779	u2 = u(k,j,i)**2
780	v2 = v(k,j,i)**2
781	w2 = w(k,j,i)**2
782	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
783	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
784
785	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) * flag
786	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) * flag
787	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) * flag
788	!
789	!-- Perturbation energy
790	sums_l(k,34,tn) = sums_l(k,34,tn) + &
791	0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * flag
792	ENDDO
793	ENDDO
794	ENDDO
795	ENDIF
796	!
797	!-- Computaion of domain-averaged perturbation energy. Please note, to prevent that perturbation
798	!-- energy is larger (even if only slightly) than the total kinetic energy, calculation is based
799	!-- on deviations from the horizontal mean, instead of spatial descretization of the advection
800	!-- term.
801	!$OMP DO
802	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag, w2, ust2, vst2) &
803	!$ACC PRESENT(wall_flags_total_0, u, v, w, rmask, hom(:,1,1:2,sr)) &
804	!$ACC PRESENT(sums_l)
805	DO i = nxl, nxr
806	DO j = nys, nyn
807	DO k = nzb, nzt+1
808	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
809
810	w2 = w(k,j,i)**2
811	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
812	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
813	w2 = w(k,j,i)**2
814
815	!$ACC ATOMIC
816	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
817	+ 0.5_wp * ( ust2 + vst2 + w2 ) * rmask(j,i,sr) * flag
818
819	ENDDO
820	ENDDO
821	ENDDO
822	!$ACC UPDATE HOST(sums_l(nzb+5:nzb+5,pr_palm,tn))
823
824	!
825	!-- Horizontally averaged profiles of the vertical fluxes
826	!$OMP DO
827	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) &
828	!$ACC PRIVATE(ki, flag, ust, vst, pts) &
829	!$ACC PRESENT(kh, km, u, v, w, pt) &
830	!$ACC PRESENT(wall_flags_total_0, rmask, ddzu, rho_air_zw, hom(:,1,1:4,sr)) &
831	!$ACC PRESENT(heatflux_output_conversion, momentumflux_output_conversion) &
832	!$ACC PRESENT(surf_def_h(0:2), surf_lsm_h(0:1), surf_usm_h(0:1)) &
833	!$ACC PRESENT(sums_l)
834	DO i = nxl, nxr
835	DO j = nys, nyn
836	!
837	!-- Subgridscale fluxes (without Prandtl layer from k=nzb, oterwise from k=nzb+1)
838	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although strictly speaking the
839	!-- ---- following k-loop would have to be split up according to the staggered grid.
840	!-- However, this implies no error since staggered velocity components are zero at
841	!-- the walls and inside buildings.
842	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes, which are added
843	!-- further below.
844	DO k = nzb, nzt
845	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
846	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
847	!
848	!-- Momentum flux w"u"
849	!$ACC ATOMIC
850	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
851	km(k,j,i) + km(k+1,j,i) + km(k,j,i-1) + km(k+1,j,i-1) &
852	) * ( &
853	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
854	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
855	) * rmask(j,i,sr) &
856	* rho_air_zw(k) &
857	* momentumflux_output_conversion(k) &
858	* flag
859	!
860	!-- Momentum flux w"v"
861	!$ACC ATOMIC
862	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
863	km(k,j,i) + km(k+1,j,i) + km(k,j-1,i) + km(k+1,j-1,i) &
864	) * ( &
865	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
866	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
867	) * rmask(j,i,sr) &
868	* rho_air_zw(k) &
869	* momentumflux_output_conversion(k) &
870	* flag
871	!
872	!-- Heat flux w"pt"
873	!$ACC ATOMIC
874	sums_l(k,16,tn) = sums_l(k,16,tn) &
875	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
876	* ( pt(k+1,j,i) - pt(k,j,i) ) &
877	* rho_air_zw(k) &
878	* heatflux_output_conversion(k) &
879	* ddzu(k+1) * rmask(j,i,sr) &
880	* flag
881
882	!
883	!-- Salinity flux w"sa"
884	#ifndef _OPENACC
885	IF ( ocean_mode ) THEN
886	sums_l(k,65,tn) = sums_l(k,65,tn) &
887	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
888	* ( sa(k+1,j,i) - sa(k,j,i) ) &
889	* ddzu(k+1) * rmask(j,i,sr) &
890	* flag
891	ENDIF
892
893	!
894	!-- Buoyancy flux, water flux (humidity flux) w"q"
895	IF ( humidity ) THEN
896	sums_l(k,45,tn) = sums_l(k,45,tn) &
897	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
898	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
899	* rho_air_zw(k) &
900	* heatflux_output_conversion(k) &
901	* ddzu(k+1) * rmask(j,i,sr) * flag
902	sums_l(k,48,tn) = sums_l(k,48,tn) &
903	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
904	* ( q(k+1,j,i) - q(k,j,i) ) &
905	* rho_air_zw(k) &
906	* waterflux_output_conversion(k) &
907	* ddzu(k+1) * rmask(j,i,sr) * flag
908
909	IF ( bulk_cloud_model ) THEN
910	sums_l(k,51,tn) = sums_l(k,51,tn) &
911	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
912	* ( ( q(k+1,j,i) - ql(k+1,j,i) ) &
913	- ( q(k,j,i) - ql(k,j,i) ) ) &
914	* rho_air_zw(k) &
915	* waterflux_output_conversion(k) &
916	* ddzu(k+1) * rmask(j,i,sr) * flag
917	ENDIF
918	ENDIF
919
920	!
921	!-- Passive scalar flux
922	IF ( passive_scalar ) THEN
923	sums_l(k,117,tn) = sums_l(k,117,tn) &
924	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) ) &
925	* ( s(k+1,j,i) - s(k,j,i) ) &
926	* ddzu(k+1) * rmask(j,i,sr) &
927	* flag
928	ENDIF
929	#endif
930
931	ENDDO
932
933	!
934	!-- Subgridscale fluxes in the Prandtl layer
935	IF ( use_surface_fluxes ) THEN
936	DO l = 0, 1
937	! The original code using MERGE doesn't work with the PGI
938	! compiler when running on the GPU.
939	! This is submitted as a compiler Bug in PGI ticket TPR#26718
940	! ki = MERGE( -1, 0, l == 0 )
941	ki = -1 + l
942	IF ( surf_def_h(l)%ns >= 1 ) THEN
943	DO m = surf_def_h(l)%start_index(j,i), &
944	surf_def_h(l)%end_index(j,i)
945	k = surf_def_h(l)%k(m)
946
947	!$ACC ATOMIC
948	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
949	momentumflux_output_conversion(k+ki) * &
950	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
951	!$ACC ATOMIC
952	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
953	momentumflux_output_conversion(k+ki) * &
954	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
955	!$ACC ATOMIC
956	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
957	heatflux_output_conversion(k+ki) * &
958	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
959	#if 0
960	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
961	0.0_wp * rmask(j,i,sr) ! u"pt"
962	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
963	0.0_wp * rmask(j,i,sr) ! v"pt"
964	#endif
965	#ifndef _OPENACC
966	IF ( ocean_mode ) THEN
967	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
968	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
969	ENDIF
970	IF ( humidity ) THEN
971	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
972	waterflux_output_conversion(k+ki) * &
973	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
974	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
975	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
976	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
977	surf_def_h(l)%qsws(m) ) &
978	* heatflux_output_conversion(k+ki)
979	IF ( cloud_droplets ) THEN
980	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
981	( 1.0_wp + 0.61_wp * q(k+ki,j,i) - &
982	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
983	0.61_wp * pt(k+ki,j,i) &
984	* surf_def_h(l)%qsws(m) ) &
985	* heatflux_output_conversion(k+ki)
986	ENDIF
987	IF ( bulk_cloud_model ) THEN
988	!
989	!-- Formula does not work if ql(k+ki) /= 0.0
990	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
991	waterflux_output_conversion(k+ki) * &
992	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
993	ENDIF
994	ENDIF
995	IF ( passive_scalar ) THEN
996	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
997	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
998	ENDIF
999	#endif
1000
1001	ENDDO
1002
1003	ENDIF
1004	IF ( surf_lsm_h(l)%end_index(j,i) >= surf_lsm_h(l)%start_index(j,i) ) THEN
1005	m = surf_lsm_h(l)%start_index(j,i)
1006	!$ACC ATOMIC
1007	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1008	momentumflux_output_conversion(nzb) * &
1009	surf_lsm_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
1010	!$ACC ATOMIC
1011	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1012	momentumflux_output_conversion(nzb) * &
1013	surf_lsm_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
1014	!$ACC ATOMIC
1015	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1016	heatflux_output_conversion(nzb) * &
1017	surf_lsm_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1018	#if 0
1019	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1020	0.0_wp * rmask(j,i,sr) ! u"pt"
1021	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1022	0.0_wp * rmask(j,i,sr) ! v"pt"
1023	#endif
1024	#ifndef _OPENACC
1025	IF ( ocean_mode ) THEN
1026	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1027	surf_lsm_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1028	ENDIF
1029	IF ( humidity ) THEN
1030	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1031	waterflux_output_conversion(nzb) * &
1032	surf_lsm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1033	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1034	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * surf_lsm_h(l)%shf(m) + &
1035	0.61_wp * pt(nzb,j,i) * surf_lsm_h(l)%qsws(m) ) &
1036	* heatflux_output_conversion(nzb)
1037	IF ( cloud_droplets ) THEN
1038	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1039	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1040	ql(nzb,j,i) ) * surf_lsm_h(l)%shf(m) + &
1041	0.61_wp * pt(nzb,j,i) * surf_lsm_h(l)%qsws(m) ) &
1042	* heatflux_output_conversion(nzb)
1043	ENDIF
1044	IF ( bulk_cloud_model ) THEN
1045	!
1046	!-- Formula does not work if ql(nzb) /= 0.0
1047	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1048	waterflux_output_conversion(nzb) * &
1049	surf_lsm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1050	ENDIF
1051	ENDIF
1052	IF ( passive_scalar ) THEN
1053	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1054	surf_lsm_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1055	ENDIF
1056	#endif
1057
1058	ENDIF
1059	IF ( surf_usm_h(l)%end_index(j,i) >= surf_usm_h(l)%start_index(j,i) ) THEN
1060	m = surf_usm_h(l)%start_index(j,i)
1061	!$ACC ATOMIC
1062	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1063	momentumflux_output_conversion(nzb) * &
1064	surf_usm_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
1065	!$ACC ATOMIC
1066	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1067	momentumflux_output_conversion(nzb) * &
1068	surf_usm_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
1069	!$ACC ATOMIC
1070	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1071	heatflux_output_conversion(nzb) * &
1072	surf_usm_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1073	#if 0
1074	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + 0.0_wp * rmask(j,i,sr) ! u"pt"
1075	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + 0.0_wp * rmask(j,i,sr) ! v"pt"
1076	#endif
1077	#ifndef _OPENACC
1078	IF ( ocean_mode ) THEN
1079	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1080	surf_usm_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1081	ENDIF
1082	IF ( humidity ) THEN
1083	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1084	waterflux_output_conversion(nzb) * &
1085	surf_usm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1086	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1087	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1088	surf_usm_h(l)%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1089	surf_usm_h(l)%qsws(m) ) &
1090	* heatflux_output_conversion(nzb)
1091	IF ( cloud_droplets ) THEN
1092	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1093	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1094	ql(nzb,j,i) ) * surf_usm_h(l)%shf(m) + &
1095	0.61_wp * pt(nzb,j,i) * surf_usm_h(l)%qsws(m) ) &
1096	* heatflux_output_conversion(nzb)
1097	ENDIF
1098	IF ( bulk_cloud_model ) THEN
1099	!
1100	!-- Formula does not work if ql(nzb) /= 0.0
1101	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1102	waterflux_output_conversion(nzb) * &
1103	surf_usm_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1104	ENDIF
1105	ENDIF
1106	IF ( passive_scalar ) THEN
1107	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1108	surf_usm_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1109	ENDIF
1110	#endif
1111
1112	ENDIF
1113	ENDDO
1114	ENDIF
1115
1116	#ifndef _OPENACC
1117	IF ( .NOT. neutral ) THEN
1118	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1119	m = surf_def_h(0)%start_index(j,i)
1120	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1121	ENDIF
1122	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1123	m = surf_lsm_h(0)%start_index(j,i)
1124	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_lsm_h(0)%ol(m) * rmask(j,i,sr) ! L
1125	ENDIF
1126	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1127	m = surf_usm_h(0)%start_index(j,i)
1128	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + surf_usm_h(0)%ol(m) * rmask(j,i,sr) ! L
1129	ENDIF
1130	ENDIF
1131
1132	IF ( radiation ) THEN
1133	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1134	m = surf_def_h(0)%start_index(j,i)
1135	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1136	surf_def_h(0)%rad_net(m) * rmask(j,i,sr)
1137	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1138	surf_def_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1139	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1140	surf_def_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1141	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1142	surf_def_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1143	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1144	surf_def_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1145	ENDIF
1146	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1147	m = surf_lsm_h(0)%start_index(j,i)
1148	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1149	surf_lsm_h(0)%rad_net(m) * rmask(j,i,sr)
1150	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1151	surf_lsm_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1152	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1153	surf_lsm_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1154	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1155	surf_lsm_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1156	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1157	surf_lsm_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1158	ENDIF
1159	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1160	m = surf_usm_h(0)%start_index(j,i)
1161	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1162	surf_usm_h(0)%rad_net(m) * rmask(j,i,sr)
1163	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1164	surf_usm_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1165	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1166	surf_usm_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1167	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1168	surf_usm_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1169	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1170	surf_usm_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1171	ENDIF
1172
1173	#if defined ( __rrtmg )
1174	IF ( radiation_scheme == 'rrtmg' ) THEN
1175
1176	IF ( surf_def_h(0)%end_index(j,i) >= surf_def_h(0)%start_index(j,i) ) THEN
1177	m = surf_def_h(0)%start_index(j,i)
1178	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1179	surf_def_h(0)%rrtm_aldif(m,0) * rmask(j,i,sr)
1180	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1181	surf_def_h(0)%rrtm_aldir(m,0) * rmask(j,i,sr)
1182	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1183	surf_def_h(0)%rrtm_asdif(m,0) * rmask(j,i,sr)
1184	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1185	surf_def_h(0)%rrtm_asdir(m,0) * rmask(j,i,sr)
1186	ENDIF
1187	IF ( surf_lsm_h(0)%end_index(j,i) >= surf_lsm_h(0)%start_index(j,i) ) THEN
1188	m = surf_lsm_h(0)%start_index(j,i)
1189	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1190	SUM( surf_lsm_h(0)%frac(m,:) * &
1191	surf_lsm_h(0)%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1192	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1193	SUM( surf_lsm_h(0)%frac(m,:) * &
1194	surf_lsm_h(0)%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1195	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1196	SUM( surf_lsm_h(0)%frac(m,:) * &
1197	surf_lsm_h(0)%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1198	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1199	SUM( surf_lsm_h(0)%frac(m,:) * &
1200	surf_lsm_h(0)%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1201	ENDIF
1202	IF ( surf_usm_h(0)%end_index(j,i) >= surf_usm_h(0)%start_index(j,i) ) THEN
1203	m = surf_usm_h(0)%start_index(j,i)
1204	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1205	SUM( surf_usm_h(0)%frac(m,:) * &
1206	surf_usm_h(0)%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1207	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1208	SUM( surf_usm_h(0)%frac(m,:) * &
1209	surf_usm_h(0)%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1210	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1211	SUM( surf_usm_h(0)%frac(m,:) * &
1212	surf_usm_h(0)%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1213	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1214	SUM( surf_usm_h(0)%frac(m,:) * &
1215	surf_usm_h(0)%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1216	ENDIF
1217
1218	ENDIF
1219	#endif
1220	ENDIF
1221	#endif
1222	!
1223	!-- Subgridscale fluxes at the top surface
1224	IF ( use_top_fluxes ) THEN
1225	m = surf_def_h(2)%start_index(j,i)
1226	!$ACC ATOMIC
1227	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
1228	momentumflux_output_conversion(nzt) * &
1229	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1230	!$ACC ATOMIC
1231	sums_l(nzt+1,12,tn) = sums_l(nzt+1,12,tn) + &
1232	momentumflux_output_conversion(nzt+1) * &
1233	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1234	!$ACC ATOMIC
1235	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
1236	momentumflux_output_conversion(nzt) * &
1237	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1238	!$ACC ATOMIC
1239	sums_l(nzt+1,14,tn) = sums_l(nzt+1,14,tn) + &
1240	momentumflux_output_conversion(nzt+1) * &
1241	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1242	!$ACC ATOMIC
1243	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
1244	heatflux_output_conversion(nzt) * &
1245	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1246	!$ACC ATOMIC
1247	sums_l(nzt+1,16,tn) = sums_l(nzt+1,16,tn) + &
1248	heatflux_output_conversion(nzt+1) * &
1249	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1250	#if 0
1251	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1252	0.0_wp * rmask(j,i,sr) ! u"pt"
1253	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1254	0.0_wp * rmask(j,i,sr) ! v"pt"
1255	#endif
1256	#ifndef _OPENACC
1257	IF ( ocean_mode ) THEN
1258	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1259	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1260	ENDIF
1261	IF ( humidity ) THEN
1262	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1263	waterflux_output_conversion(nzt) * &
1264	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1265	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1266	( 1.0_wp + 0.61_wp * q(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	IF ( cloud_droplets ) THEN
1272	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1273	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1274	ql(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	ENDIF
1280	IF ( bulk_cloud_model ) THEN
1281	!
1282	!-- Formula does not work if ql(nzb) /= 0.0
1283	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1284	waterflux_output_conversion(nzt) * &
1285	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1286	ENDIF
1287	ENDIF
1288	IF ( passive_scalar ) THEN
1289	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1290	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1291	ENDIF
1292	#endif
1293	ENDIF
1294
1295	!
1296	!-- Resolved fluxes (can be computed for all horizontal points)
1297	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly speaking the
1298	!-- ---- following k-loop would have to be split up and rearranged according to the
1299	!-- staggered grid.
1300	DO k = nzb, nzt
1301	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
1302	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1303	u(k+1,j,i) - hom(k+1,1,1,sr) )
1304	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1305	v(k+1,j,i) - hom(k+1,1,2,sr) )
1306	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1307	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1308	!
1309	!-- Higher moments
1310	!$ACC ATOMIC
1311	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 rmask(j,i,sr) * flag
1312	!$ACC ATOMIC
1313	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * rmask(j,i,sr) * flag
1314
1315	!
1316	!-- Salinity flux and density (density does not belong to here, but so far there is no
1317	!-- other suitable place to calculate)
1318	#ifndef _OPENACC
1319	IF ( ocean_mode ) THEN
1320	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1321	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1322	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1323	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1324	rmask(j,i,sr) * flag
1325	ENDIF
1326	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * rmask(j,i,sr) * flag
1327	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * rmask(j,i,sr) * flag
1328	ENDIF
1329
1330	!
1331	!-- Buoyancy flux, water flux, humidity flux, liquid water content, rain drop
1332	!-- concentration and rain water content
1333	IF ( humidity ) THEN
1334	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
1335	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1336	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1337	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1338	rho_air_zw(k) * &
1339	heatflux_output_conversion(k) * &
1340	rmask(j,i,sr) * flag
1341	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) * flag
1342
1343	IF ( .NOT. cloud_droplets ) THEN
1344	pts = 0.5_wp * &
1345	( ( q(k,j,i) - ql(k,j,i) ) - &
1346	hom(k,1,42,sr) + &
1347	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1348	hom(k+1,1,42,sr) )
1349	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1350	rho_air_zw(k) * &
1351	waterflux_output_conversion(k) * &
1352	rmask(j,i,sr) * flag
1353	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * rmask(j,i,sr) * flag
1354	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * rmask(j,i,sr) * flag
1355	IF ( microphysics_morrison ) THEN
1356	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * rmask(j,i,sr) * flag
1357	ENDIF
1358	IF ( microphysics_ice_phase ) THEN
1359	sums_l(k,124,tn) = sums_l(k,124,tn) + ni(k,j,i) * rmask(j,i,sr) * flag
1360	sums_l(k,125,tn) = sums_l(k,125,tn) + qi(k,j,i) * rmask(j,i,sr) * flag
1361	IF ( graupel .AND. snow ) THEN
1362	sums_l(k,126,tn) = sums_l(k,126,tn) + ng(k,j,i) * rmask(j,i,sr) * flag
1363	sums_l(k,127,tn) = sums_l(k,127,tn) + qg(k,j,i) * rmask(j,i,sr) * flag
1364	sums_l(k,128,tn) = sums_l(k,128,tn) + ns(k,j,i) * rmask(j,i,sr) * flag
1365	sums_l(k,129,tn) = sums_l(k,129,tn) + qs(k,j,i) * rmask(j,i,sr) * flag
1366	ENDIF
1367	ENDIF
1368
1369	IF ( microphysics_seifert ) THEN
1370	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * rmask(j,i,sr) * flag
1371	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * rmask(j,i,sr) * flag
1372	ENDIF
1373	ENDIF
1374
1375	ELSE
1376	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1377	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1378	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1379	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1380	rho_air_zw(k) * &
1381	heatflux_output_conversion(k) * &
1382	rmask(j,i,sr) * flag
1383	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1384	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1385	hom(k,1,41,sr) ) * &
1386	sums_l(k,17,tn) + &
1387	0.61_wp * hom(k,1,4,sr) * &
1388	sums_l(k,49,tn) &
1389	) * heatflux_output_conversion(k) * flag
1390	END IF
1391	END IF
1392	ENDIF
1393	!
1394	!-- Passive scalar flux
1395	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca .OR. sr /= 0 ) ) THEN
1396	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1397	s(k+1,j,i) - hom(k+1,1,115,sr) )
1398	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * rmask(j,i,sr) * flag
1399	ENDIF
1400	#endif
1401
1402	!
1403	!-- Energy flux we
1404	!-- has to be adjusted
1405	!$ACC ATOMIC
1406	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1407	( ust2 + vst2 + w(k,j,i)**2 ) &
1408	* rho_air_zw(k) &
1409	* momentumflux_output_conversion(k) &
1410	* rmask(j,i,sr) * flag
1411	ENDDO
1412	ENDDO
1413	ENDDO
1414	!$OMP END PARALLEL
1415
1416	!$ACC UPDATE &
1417	!$ACC HOST(sums_l(:,12,tn), sums_l(:,14,tn), sums_l(:,16,tn)) &
1418	!$ACC HOST(sums_l(:,35,tn), sums_l(:,36,tn), sums_l(:,37,tn))
1419	!
1420	!-- Treat land-surface quantities according to new wall model structure.
1421	IF ( land_surface ) THEN
1422	tn = 0
1423	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1424	!$ tn = omp_get_thread_num()
1425	!$OMP DO
1426	DO m = 1, surf_lsm_h(0)%ns
1427	i = surf_lsm_h(0)%i(m)
1428	j = surf_lsm_h(0)%j(m)
1429
1430	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h(0)%ghf(m) * rmask(j,i,sr)
1431	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h(0)%qsws_liq(m) * rmask(j,i,sr)
1432	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h(0)%qsws_soil(m) * rmask(j,i,sr)
1433	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h(0)%qsws_veg(m) * rmask(j,i,sr)
1434	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h(0)%r_a(m) * rmask(j,i,sr)
1435	sums_l(nzb,98,tn) = sums_l(nzb,98,tn) + surf_lsm_h(0)%r_s(m) * rmask(j,i,sr)
1436	ENDDO
1437	!$OMP END PARALLEL
1438
1439	tn = 0
1440	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1441	!$ tn = omp_get_thread_num()
1442	!$OMP DO
1443	DO m = 1, surf_lsm_h(0)%ns
1444
1445	i = surf_lsm_h(0)%i(m)
1446	j = surf_lsm_h(0)%j(m)
1447	DO k = nzb_soil, nzt_soil
1448	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h(0)%var_2d(k,m) * rmask(j,i,sr)
1449	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h(0)%var_2d(k,m) * rmask(j,i,sr)
1450	ENDDO
1451	ENDDO
1452	!$OMP END PARALLEL
1453	ENDIF
1454	!
1455	!-- For speed optimization fluxes which have been computed in part directly inside the WS
1456	!-- advection routines are treated seperatly.
1457	!-- Momentum fluxes first:
1458
1459	tn = 0
1460	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
1461	!$ tn = omp_get_thread_num()
1462	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1463	!$OMP DO
1464	DO i = nxl, nxr
1465	DO j = nys, nyn
1466	DO k = nzb, nzt
1467	!
1468	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes, which are
1469	!-- added further below.
1470	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1471	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
1472
1473	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1474	u(k+1,j,i) - hom(k+1,1,1,sr) )
1475	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1476	v(k+1,j,i) - hom(k+1,1,2,sr) )
1477	!
1478	!-- Momentum flux wu
1479	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
1480	( w(k,j,i-1) + w(k,j,i) ) &
1481	* rho_air_zw(k) &
1482	* momentumflux_output_conversion(k) &
1483	* ust * rmask(j,i,sr) &
1484	* flag
1485	!
1486	!-- Momentum flux wv
1487	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * ( w(k,j-1,i) + w(k,j,i) ) &
1488	* rho_air_zw(k) &
1489	* momentumflux_output_conversion(k) &
1490	* vst * rmask(j,i,sr) &
1491	* flag
1492	ENDDO
1493	ENDDO
1494	ENDDO
1495
1496	ENDIF
1497	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1498	!$OMP DO
1499	DO i = nxl, nxr
1500	DO j = nys, nyn
1501	DO k = nzb, nzt
1502	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1503	MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 9 ) )
1504	!
1505	!-- Vertical heat flux
1506	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1507	( pt(k,j,i) - hom(k,1,4,sr) + &
1508	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1509	* rho_air_zw(k) &
1510	* heatflux_output_conversion(k) &
1511	* w(k,j,i) * rmask(j,i,sr) * flag
1512	IF ( humidity ) THEN
1513	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1514	q(k+1,j,i) - hom(k+1,1,41,sr) )
1515	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1516	rho_air_zw(k) * &
1517	waterflux_output_conversion(k) * &
1518	rmask(j,i,sr) * flag
1519	ENDIF
1520	IF ( passive_scalar ) THEN
1521	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1522	s(k+1,j,i) - hom(k+1,1,115,sr) )
1523	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * rmask(j,i,sr) * flag
1524	ENDIF
1525	ENDDO
1526	ENDDO
1527	ENDDO
1528
1529	ENDIF
1530
1531	!
1532	!-- Density at top follows Neumann condition
1533	IF ( ocean_mode ) THEN
1534	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1535	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1536	ENDIF
1537
1538	!
1539	!-- Divergence of vertical flux of resolved scale energy and pressure fluctuations as well as
1540	!-- flux of pressure fluctuation itself (68).
1541	!-- First calculate the products, then the divergence.
1542	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1543	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) THEN
1544	sums_ll = 0.0_wp ! local array
1545
1546	!$OMP DO
1547	DO i = nxl, nxr
1548	DO j = nys, nyn
1549	DO k = nzb+1, nzt
1550	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1551
1552	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1553	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1554	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2 &
1555	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1556	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2 &
1557	+ w(k,j,i)*2 ) flag * rmask(j,i,sr)
1558
1559	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1560	* ( ( p(k,j,i) + p(k+1,j,i) ) &
1561	/ momentumflux_output_conversion(k) ) &
1562	* flag * rmask(j,i,sr)
1563
1564	ENDDO
1565	ENDDO
1566	ENDDO
1567	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1568	sums_ll(nzt+1,1) = 0.0_wp
1569	sums_ll(0,2) = 0.0_wp
1570	sums_ll(nzt+1,2) = 0.0_wp
1571
1572	DO k = nzb+1, nzt
1573	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1574	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1575	sums_l(k,68,tn) = sums_ll(k,2)
1576	ENDDO
1577	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1578	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1579	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1580
1581	ENDIF
1582
1583	!
1584	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1585	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) THEN
1586	!$OMP DO
1587	DO i = nxl, nxr
1588	DO j = nys, nyn
1589	DO k = nzb+1, nzt
1590
1591	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1592
1593	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1594	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1595	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1596	) * ddzw(k) &
1597	* flag * rmask(j,i,sr)
1598
1599	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1600	( km(k,j,i) + km(k+1,j,i) ) * &
1601	( e(k+1,j,i) - e(k,j,i) ) * ddzu(k+1) &
1602	) * flag * rmask(j,i,sr)
1603
1604	ENDDO
1605	ENDDO
1606	ENDDO
1607	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1608	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1609
1610	ENDIF
1611
1612	!
1613	!-- Horizontal heat fluxes (subgrid, resolved, total).
1614	!-- Do it only, if profiles shall be plotted.
1615	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1616
1617	!$OMP DO
1618	DO i = nxl, nxr
1619	DO j = nys, nyn
1620	DO k = nzb+1, nzt
1621	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1622	!
1623	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1624	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1625	( kh(k,j,i) + kh(k,j,i-1) ) &
1626	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1627	* rho_air_zw(k) &
1628	* heatflux_output_conversion(k) &
1629	* ddx * rmask(j,i,sr) * flag
1630	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1631	( kh(k,j,i) + kh(k,j-1,i) ) &
1632	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1633	* rho_air_zw(k) &
1634	* heatflux_output_conversion(k) &
1635	* ddy * rmask(j,i,sr) * flag
1636	!
1637	!-- Resolved horizontal heat fluxes upt, vpt
1638	sums_l(k,59,tn) = sums_l(k,59,tn) + ( u(k,j,i) - hom(k,1,1,sr) ) &
1639	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1640	pt(k,j,i) - hom(k,1,4,sr) ) &
1641	* heatflux_output_conversion(k) &
1642	* flag
1643	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1644	pt(k,j,i) - hom(k,1,4,sr) )
1645	sums_l(k,62,tn) = sums_l(k,62,tn) + ( v(k,j,i) - hom(k,1,2,sr) ) &
1646	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1647	pt(k,j,i) - hom(k,1,4,sr) ) &
1648	* heatflux_output_conversion(k) &
1649	* flag
1650	ENDDO
1651	ENDDO
1652	ENDDO
1653	!
1654	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1655	sums_l(nzb,58,tn) = 0.0_wp
1656	sums_l(nzb,59,tn) = 0.0_wp
1657	sums_l(nzb,60,tn) = 0.0_wp
1658	sums_l(nzb,61,tn) = 0.0_wp
1659	sums_l(nzb,62,tn) = 0.0_wp
1660	sums_l(nzb,63,tn) = 0.0_wp
1661
1662	ENDIF
1663	!$OMP END PARALLEL
1664
1665	!
1666	!-- Collect current large scale advection and subsidence tendencies for
1667	!-- data output
1668	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1669	!
1670	!-- Interpolation in time of LSF_DATA
1671	nt = 1
1672	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1673	nt = nt + 1
1674	ENDDO
1675	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1676	nt = nt - 1
1677	ENDIF
1678
1679	fac = ( simulated_time - dt_3d - time_vert(nt) ) / ( time_vert(nt+1)-time_vert(nt) )
1680
1681
1682	DO k = nzb, nzt
1683	sums_ls_l(k,0) = td_lsa_lpt(k,nt) + fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1684	sums_ls_l(k,1) = td_lsa_q(k,nt) + fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1685	ENDDO
1686
1687	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1688	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1689
1690	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1691
1692	DO k = nzb, nzt
1693	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * ( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1694	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * ( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1695	ENDDO
1696
1697	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1698	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1699
1700	ENDIF
1701
1702	ENDIF
1703
1704	tn = 0
1705	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1706	!$ tn = omp_get_thread_num()
1707	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1708	!$OMP DO
1709	DO i = nxl, nxr
1710	DO j = nys, nyn
1711	DO k = nzb+1, nzt+1
1712	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1713
1714	sums_l(k,100,tn) = sums_l(k,100,tn) + rad_lw_in(k,j,i) * rmask(j,i,sr) * flag
1715	sums_l(k,101,tn) = sums_l(k,101,tn) + rad_lw_out(k,j,i) * rmask(j,i,sr) * flag
1716	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_sw_in(k,j,i) * rmask(j,i,sr) * flag
1717	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_sw_out(k,j,i) * rmask(j,i,sr) * flag
1718	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_lw_cs_hr(k,j,i) * rmask(j,i,sr) * flag
1719	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_lw_hr(k,j,i) * rmask(j,i,sr) * flag
1720	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_sw_cs_hr(k,j,i) * rmask(j,i,sr) * flag
1721	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_sw_hr(k,j,i) * rmask(j,i,sr) * flag
1722	ENDDO
1723	ENDDO
1724	ENDDO
1725	ENDIF
1726
1727	!
1728	!-- Calculate the profiles for all other modules
1729	CALL module_interface_statistics( 'profiles', sr, tn, dots_max )
1730	!$OMP END PARALLEL
1731
1732	!
1733	!-- Summation of thread sums
1734	IF ( threads_per_task > 1 ) THEN
1735	DO i = 1, threads_per_task-1
1736	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1737	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1738	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1739	sums_l(:,45:pr_palm,i)
1740	IF ( max_pr_user > 0 ) THEN
1741	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1742	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1743	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1744	ENDIF
1745
1746	IF ( air_chemistry ) THEN
1747	IF ( max_pr_cs > 0 ) THEN
1748	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+ max_pr_cs,0) = &
1749	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,0) + &
1750	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,i)
1751
1752	ENDIF
1753	ENDIF
1754	IF ( salsa ) THEN
1755	IF ( max_pr_cs > 0 ) THEN
1756	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) = &
1757	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) + &
1758	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,i)
1759
1760	ENDIF
1761	ENDIF
1762	ENDDO
1763	ENDIF
1764
1765	#if defined( __parallel )
1766
1767	!
1768	!-- Compute total sum from local sums
1769	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1770	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, MPI_SUM, comm2d, ierr )
1771	IF ( large_scale_forcing ) THEN
1772	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, MPI_REAL, MPI_SUM, &
1773	comm2d, ierr )
1774	ENDIF
1775
1776	IF ( air_chemistry .AND. max_pr_cs > 0 ) THEN
1777	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1778	DO i = 1, max_pr_cs
1779	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+i,0), &
1780	sums(nzb,pr_palm+max_pr_user+i), &
1781	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1782	ENDDO
1783	ENDIF
1784
1785	IF ( salsa .AND. max_pr_salsa > 0 ) THEN
1786	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1787	DO i = 1, max_pr_salsa
1788	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+max_pr_cs+i,0), &
1789	sums(nzb,pr_palm+max_pr_user+max_pr_user+i), &
1790	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1791	ENDDO
1792	ENDIF
1793
1794	#else
1795	sums = sums_l(:,:,0)
1796	IF ( large_scale_forcing ) THEN
1797	sums(:,81:88) = sums_ls_l
1798	ENDIF
1799	#endif
1800
1801	!
1802	!-- Final values are obtained by division by the total number of grid points used for summation.
1803	!-- After that store profiles.
1804	!-- Check, if statistical regions do contain at least one grid point at the respective k-level,
1805	!-- otherwise division by zero will lead to undefined values, which may cause e.g. problems with
1806	!-- NetCDF output.
1807	!-- Profiles:
1808	DO k = nzb, nzt+1
1809	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1810	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1811	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1812	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1813	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1814	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1815	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1816
1817	IF ( land_surface .AND. surf_lsm_h(0)%ns_tot > 0 ) THEN
1818	sums(k,89:98) = sums(k,89:98) / surf_lsm_h(0)%ns_tot
1819	ENDIF
1820
1821	sums(k,99:112) = sums(k,99:112) / ngp_2dh(sr)
1822	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1823	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1824	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1825	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1826	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1827	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1828	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1829	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1830	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1831	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1832	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1833	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1834	sums(k,123:129) = sums(k,123:129) * ngp_2dh_s_inner(k,sr) / ngp_2dh(sr)
1835	ENDIF
1836	ENDDO
1837
1838	!-- u* and so on
1839	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose size is always
1840	!-- ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer above the topography, they are
1841	!-- divided by ngp_2dh(sr)
1842	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / ngp_2dh(sr)
1843	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / ngp_2dh(sr) ! qs
1844	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / ngp_2dh(sr) ! ss
1845	sums(nzb+14,pr_palm) = sums(nzb+14,pr_palm) / ngp_2dh(sr) ! surface temperature
1846
1847	!-- eges, e*
1848	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / ngp_3d(sr)
1849	!-- Old and new divergence
1850	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / ngp_3d_inner(sr)
1851
1852	!-- User-defined profiles
1853	IF ( max_pr_user > 0 ) THEN
1854	DO k = nzb, nzt+1
1855	sums(k,pr_palm+1:pr_palm+max_pr_user) = sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1856	ngp_2dh_s_inner(k,sr)
1857	ENDDO
1858	ENDIF
1859
1860	IF ( air_chemistry ) THEN
1861	IF ( max_pr_cs > 0 ) THEN
1862	DO k = nzb, nzt+1
1863	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) = &
1864	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) / &
1865	ngp_2dh_s_inner(k,sr)
1866	ENDDO
1867	ENDIF
1868	ENDIF
1869
1870	IF ( salsa ) THEN
1871	IF ( max_pr_salsa > 0 ) THEN
1872	DO k = nzb, nzt+1
1873	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) = &
1874	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) &
1875	/ ngp_2dh_s_inner(k,sr)
1876	ENDDO
1877	ENDIF
1878	ENDIF
1879
1880	!
1881	!-- Collect horizontal average in hom.
1882	!-- Compute deduced averages (e.g. total heat flux)
1883	hom(:,1,3,sr) = sums(:,3) ! w
1884	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1885	hom(:,1,9,sr) = sums(:,9) ! km
1886	hom(:,1,10,sr) = sums(:,10) ! kh
1887	hom(:,1,11,sr) = sums(:,11) ! l
1888	hom(:,1,12,sr) = sums(:,12) ! w"u"
1889	hom(:,1,13,sr) = sums(:,13) ! wu
1890	hom(:,1,14,sr) = sums(:,14) ! w"v"
1891	hom(:,1,15,sr) = sums(:,15) ! wv
1892	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1893	hom(:,1,17,sr) = sums(:,17) ! wpt
1894	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1895	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1896	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1897	hom(:,1,21,sr) = sums(:,21) ! wptBC
1898	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1899	! profile 24 is initial profile (sa)
1900	! profiles 25-29 left empty for initial
1901	! profiles
1902	hom(:,1,30,sr) = sums(:,30) ! u*2
1903	hom(:,1,31,sr) = sums(:,31) ! v*2
1904	hom(:,1,32,sr) = sums(:,32) ! w*2
1905	hom(:,1,33,sr) = sums(:,33) ! pt*2
1906	hom(:,1,34,sr) = sums(:,34) ! e*
1907	hom(:,1,35,sr) = sums(:,35) ! w2pt
1908	hom(:,1,36,sr) = sums(:,36) ! wpt2
1909	hom(:,1,37,sr) = sums(:,37) ! we
1910	hom(:,1,38,sr) = sums(:,38) ! w*3
1911	hom(:,1,39,sr) = sums(:,38) / ( ABS( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1912	hom(:,1,40,sr) = sums(:,40) ! p
1913	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1914	hom(:,1,46,sr) = sums(:,46) ! wvpt
1915	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1916	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1917	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1918	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1919	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1920	hom(:,1,52,sr) = sums(:,52) ! wqv
1921	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1922	hom(:,1,54,sr) = sums(:,54) ! ql
1923	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1924	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1925	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
1926	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1927	hom(:,1,59,sr) = sums(:,59) ! upt
1928	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1929	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1930	hom(:,1,62,sr) = sums(:,62) ! vpt
1931	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1932	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
1933	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1934	hom(:,1,66,sr) = sums(:,66) ! wsa
1935	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1936	hom(:,1,68,sr) = sums(:,68) ! wp
1937	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
1938	hom(:,1,70,sr) = sums(:,70) ! q*2
1939	hom(:,1,71,sr) = sums(:,71) ! prho
1940	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
1941	hom(:,1,123,sr) = sums(:,123) ! nc
1942	hom(:,1,124,sr) = sums(:,124) ! ni
1943	hom(:,1,125,sr) = sums(:,125) ! qi
1944	hom(:,1,126,sr) = sums(:,126) ! ng
1945	hom(:,1,127,sr) = sums(:,127) ! qg
1946	hom(:,1,128,sr) = sums(:,128) ! ns
1947	hom(:,1,129,sr) = sums(:,129) ! qs
1948	hom(:,1,73,sr) = sums(:,73) ! nr
1949	hom(:,1,74,sr) = sums(:,74) ! qr
1950	hom(:,1,75,sr) = sums(:,75) ! qc
1951	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1952	! 77 is initial density profile
1953	hom(:,1,78,sr) = ug ! ug
1954	hom(:,1,79,sr) = vg ! vg
1955	hom(:,1,80,sr) = w_subs ! w_subs
1956
1957	IF ( large_scale_forcing ) THEN
1958	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1959	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1960	IF ( use_subsidence_tendencies ) THEN
1961	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1962	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1963	ELSE
1964	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1965	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1966	ENDIF
1967	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1968	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1969	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1970	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1971	ENDIF
1972
1973	IF ( land_surface ) THEN
1974	hom(:,1,89,sr) = sums(:,89) ! t_soil
1975	! 90 is initial t_soil profile
1976	hom(:,1,91,sr) = sums(:,91) ! m_soil
1977	! 92 is initial m_soil profile
1978	hom(:,1,93,sr) = sums(:,93) ! ghf
1979	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
1980	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
1981	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
1982	hom(:,1,97,sr) = sums(:,97) ! r_a
1983	hom(:,1,98,sr) = sums(:,98) ! r_s
1984
1985	ENDIF
1986
1987	IF ( radiation ) THEN
1988	hom(:,1,99,sr) = sums(:,99) ! rad_net
1989	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
1990	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
1991	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
1992	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
1993
1994	IF ( radiation_scheme == 'rrtmg' ) THEN
1995	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
1996	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
1997	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
1998	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
1999
2000	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
2001	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
2002	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
2003	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
2004	ENDIF
2005	ENDIF
2006
2007	hom(:,1,112,sr) = sums(:,112) !: L
2008
2009	IF ( passive_scalar ) THEN
2010	hom(:,1,117,sr) = sums(:,117) ! w"s"
2011	hom(:,1,114,sr) = sums(:,114) ! ws
2012	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
2013	hom(:,1,116,sr) = sums(:,116) ! s*2
2014	ENDIF
2015
2016	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
2017	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
2018
2019	IF ( kolmogorov_length_scale ) THEN
2020	hom(:,1,121,sr) = sums(:,121) * 1E3_wp ! eta in mm
2021	ENDIF
2022
2023
2024	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
2025	! u, w'u', w'v', t (in last profile)
2026
2027	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
2028	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
2029	sums(:,pr_palm+1:pr_palm+max_pr_user)
2030	ENDIF
2031
2032	IF ( air_chemistry ) THEN
2033	IF ( max_pr_cs > 0 ) THEN ! chem_spcs profiles
2034	hom(:, 1, pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs, sr) = &
2035	sums(:, pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs)
2036	ENDIF
2037	ENDIF
2038
2039	IF ( salsa ) THEN
2040	IF ( max_pr_salsa > 0 ) THEN ! salsa profiles
2041	hom(:,1,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa, sr) = &
2042	sums(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa)
2043	ENDIF
2044	ENDIF
2045	!
2046	!-- Determine the boundary layer height using two different schemes.
2047	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the first relative
2048	!-- minimum (maximum) of the total heat flux.
2049	!-- The corresponding height is assumed as the boundary layer height, if it is less than 1.5
2050	!-- times the height where the heat flux becomes negative (positive) for the first time.
2051	!-- Attention: the resolved vertical sensible heat flux (hom(:,1,17,sr) = wpt) is not known at
2052	!-- the beginning because the calculation happens in advec_s_ws which is called after
2053	!-- flow_statistics. Therefore z_i is directly taken from restart data at the beginning of
2054	!-- restart runs.
2055	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .OR. &
2056	simulated_time_at_begin /= simulated_time ) THEN
2057
2058	z_i(1) = 0.0_wp
2059	first = .TRUE.
2060
2061	IF ( ocean_mode ) THEN
2062	DO k = nzt, nzb+1, -1
2063	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2064	first = .FALSE.
2065	height = zw(k)
2066	ENDIF
2067	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2068	IF ( zw(k) < 1.5_wp * height ) THEN
2069	z_i(1) = zw(k)
2070	ELSE
2071	z_i(1) = height
2072	ENDIF
2073	EXIT
2074	ENDIF
2075	ENDDO
2076	ELSE
2077	DO k = nzb, nzt-1
2078	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2079	first = .FALSE.
2080	height = zw(k)
2081	ENDIF
2082	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2083	IF ( zw(k) < 1.5_wp * height ) THEN
2084	z_i(1) = zw(k)
2085	ELSE
2086	z_i(1) = height
2087	ENDIF
2088	EXIT
2089	ENDIF
2090	ENDDO
2091	ENDIF
2092
2093	!
2094	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified by Uhlenbrock(2006).
2095	!-- The boundary layer height is the height with the maximal local temperature gradient:
2096	!-- starting from the second (the last but one) vertical gridpoint, the local gradient must be
2097	!-- at least 0.2K/100m and greater than the next four gradients.
2098	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2099	!-- ocean case!
2100	z_i(2) = 0.0_wp
2101	DO k = nzb+1, nzt+1
2102	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2103	ENDDO
2104	dptdz_threshold = 0.2_wp / 100.0_wp
2105
2106	IF ( ocean_mode ) THEN
2107	DO k = nzt+1, nzb+5, -1
2108	IF ( dptdz(k) > dptdz_threshold .AND. &
2109	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
2110	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2111	z_i(2) = zw(k-1)
2112	EXIT
2113	ENDIF
2114	ENDDO
2115	ELSE
2116	DO k = nzb+1, nzt-3
2117	IF ( dptdz(k) > dptdz_threshold .AND. &
2118	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
2119	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2120	z_i(2) = zw(k-1)
2121	EXIT
2122	ENDIF
2123	ENDDO
2124	ENDIF
2125
2126	ENDIF
2127
2128	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2129	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2130
2131	!
2132	!-- Determine vertical index which is nearest to the mean surface level height of the respective
2133	!-- statistic region
2134	DO k = nzb, nzt
2135	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
2136	k_surface_level = k
2137	EXIT
2138	ENDIF
2139	ENDDO
2140
2141	!
2142	!-- Computation of both the characteristic vertical velocity and the characteristic convective
2143	!-- boundary layer temperature.
2144	!-- The inversion height entering into the equation is defined with respect to the mean surface
2145	!-- level height of the respective statistic region.
2146	!-- The horizontal average at surface level index + 1 is input for the average temperature.
2147	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp ) THEN
2148	hom(nzb+8,1,pr_palm,sr) = &
2149	( g / hom(k_surface_level+1,1,4,sr) * &
2150	( hom(k_surface_level,1,18,sr) / &
2151	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
2152	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
2153	ELSE
2154	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
2155	ENDIF
2156
2157	!
2158	!-- Collect the time series quantities. Please note, timeseries quantities which are collected
2159	!-- from horizontally averaged profiles, e.g. wpt or pt(zp), are treated specially. In case of
2160	!-- elevated model surfaces, index nzb+1 might be within topography and data will be zero.
2161	!-- Therefore, take value for the first atmosphere index, which is topo_min_level+1.
2162	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2163	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2164	ts_value(3,sr) = dt_3d
2165	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2166	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2167	ts_value(6,sr) = u_max
2168	ts_value(7,sr) = v_max
2169	ts_value(8,sr) = w_max
2170	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2171	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2172	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2173	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2174	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2175	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2176	ts_value(15,sr) = hom(topo_min_level+1,1,16,sr) ! w'pt' at k=1
2177	ts_value(16,sr) = hom(topo_min_level+1,1,18,sr) ! wpt at k=1
2178	ts_value(17,sr) = hom(nzb+14,1,pr_palm,sr) ! pt(0)
2179	ts_value(18,sr) = hom(topo_min_level+1,1,4,sr) ! pt(zp)
2180	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2181	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2182	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2183
2184	IF ( .NOT. neutral ) THEN
2185	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
2186	ELSE
2187	ts_value(22,sr) = 1.0E10_wp
2188	ENDIF
2189
2190	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2191
2192	IF ( passive_scalar ) THEN
2193	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
2194	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
2195	ENDIF
2196
2197	!
2198	!-- Collect land surface model timeseries
2199	IF ( land_surface ) THEN
2200	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2201	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2202	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2203	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2204	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2205	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2206	ENDIF
2207	!
2208	!-- Collect radiation model timeseries
2209	IF ( radiation ) THEN
2210	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2211	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2212	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2213	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2214	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2215
2216	IF ( radiation_scheme == 'rrtmg' ) THEN
2217	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2218	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2219	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2220	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2221	ENDIF
2222
2223	ENDIF
2224
2225	!
2226	!-- Calculate additional statistics provided by other modules
2227	CALL module_interface_statistics( 'time_series', sr, 0, dots_max )
2228
2229	ENDDO ! loop of the subregions
2230
2231	!
2232	!-- If required, sum up horizontal averages for subsequent time averaging.
2233	!-- Do not sum, if flow statistics is called before the first initial time step.
2234	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2235	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2236	hom_sum = hom_sum + hom(:,1,:,:)
2237	average_count_pr = average_count_pr + 1
2238	do_sum = .FALSE.
2239	ENDIF
2240
2241	!
2242	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2243	!-- This flag is reset after each time step in time_integration.
2244	flow_statistics_called = .TRUE.
2245
2246	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2247
2248
2249	END SUBROUTINE flow_statistics

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