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source: palm/trunk/SOURCE/flow_statistics.f90 @ 4581

Last change on this file since 4581 was 4581, checked in by suehring, 4 years ago
mesoscale nesting: omit explicit pressure forcing via geostrophic wind components; chemistry: enable profile output of vertical fluxes; urban-surface: bugfix in initialization in case of cyclic_fill
Property svn:keywords set to `Id`
File size: 114.8 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
6	! terms of the GNU General Public License as published by the Free Software
7	! Foundation, either version 3 of the License, or (at your option) any later
8	! version.
9	!
10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
13	!
14	! You should have received a copy of the GNU General Public License along with
15	! PALM. If not, see <http://www.gnu.org/licenses/>.
16	!
17	! Copyright 1997-2020 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! ------------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: flow_statistics.f90 4581 2020-06-29 08:49:58Z suehring $
27	! Formatting adjustment
28	!
29	! 4551 2020-06-02 10:22:25Z suehring
30	! Bugfix in summation for statistical regions
31	!
32	! 4521 2020-05-06 11:39:49Z schwenkel
33	! Rename variable
34	!
35	! 4502 2020-04-17 16:14:16Z schwenkel
36	! Implementation of ice microphysics
37	!
38	! 4472 2020-03-24 12:21:00Z Giersch
39	! Calculations of the Kolmogorov lengt scale eta implemented
40	!
41	! 4464 2020-03-17 11:08:46Z Giersch
42	! Reset last change (r4463)
43	!
44	! 4463 2020-03-17 09:27:36Z Giersch
45	! Calculate horizontally averaged profiles of all velocity components at the
46	! same place
47	!
48	! 4444 2020-03-05 15:59:50Z raasch
49	! bugfix: cpp-directives for serial mode added
50	!
51	! 4442 2020-03-04 19:21:13Z suehring
52	! Change order of dimension in surface array %frac to allow for better
53	! vectorization.
54	!
55	! 4441 2020-03-04 19:20:35Z suehring
56	! Introduction of wall_flags_total_0, which currently sets bits based on static
57	! topography information used in wall_flags_static_0
58	!
59	! 4329 2019-12-10 15:46:36Z motisi
60	! Renamed wall_flags_0 to wall_flags_static_0
61	!
62	! 4182 2019-08-22 15:20:23Z scharf
63	! Corrected "Former revisions" section
64	!
65	! 4131 2019-08-02 11:06:18Z monakurppa
66	! Allow profile output for salsa variables.
67	!
68	! 4039 2019-06-18 10:32:41Z suehring
69	! Correct conversion to kinematic scalar fluxes in case of pw-scheme and
70	! statistic regions
71	!
72	! 3828 2019-03-27 19:36:23Z raasch
73	! unused variables removed
74	!
75	! 3676 2019-01-16 15:07:05Z knoop
76	! Bugfix, terminate OMP Parallel block
77	!
78	! Revision 1.1 1997/08/11 06:15:17 raasch
79	! Initial revision
80	!
81	!
82	! Description:
83	! ------------
84	!> Compute average profiles and further average flow quantities for the different
85	!> user-defined (sub-)regions. The region indexed 0 is the total model domain.
86	!>
87	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
88	!> lower vertical index for k-loops for all variables, although strictly
89	!> speaking the k-loops would have to be split up according to the staggered
90	!> grid. However, this implies no error since staggered velocity components
91	!> are zero at the walls and inside buildings.
92	!------------------------------------------------------------------------------!
93	SUBROUTINE flow_statistics
94
95
96	USE arrays_3d, &
97	ONLY: ddzu, ddzw, e, heatflux_output_conversion, hyp, km, kh, &
98	momentumflux_output_conversion, nc, ni, nr, p, prho, prr, pt, q,&
99	qc, qi, ql, qr, rho_air, rho_air_zw, rho_ocean, s, &
100	sa, u, ug, v, vg, vpt, w, w_subs, waterflux_output_conversion, &
101	zw, d_exner
102
103	USE basic_constants_and_equations_mod, &
104	ONLY: g, lv_d_cp
105
106	USE bulk_cloud_model_mod, &
107	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert, &
108	microphysics_ice_phase
109
110	USE chem_modules, &
111	ONLY: max_pr_cs
112
113	USE control_parameters, &
114	ONLY: air_chemistry, average_count_pr, cloud_droplets, do_sum, &
115	dt_3d, humidity, initializing_actions, kolmogorov_length_scale,&
116	land_surface, large_scale_forcing, large_scale_subsidence, &
117	max_pr_user, message_string, neutral, ocean_mode, &
118	passive_scalar, simulated_time, simulated_time_at_begin, &
119	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
120	ws_scheme_mom, ws_scheme_sca, salsa, max_pr_salsa
121
122	USE cpulog, &
123	ONLY: cpu_log, log_point
124
125	USE grid_variables, &
126	ONLY: ddx, ddy
127
128	USE indices, &
129	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, nxl, nxr, nyn, &
130	nys, nzb, nzt, topo_min_level, wall_flags_total_0
131
132	#if defined( __parallel )
133	USE indices, &
134	ONLY: ngp_sums, ngp_sums_ls
135	#endif
136
137	USE kinds
138
139	USE land_surface_model_mod, &
140	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
141
142	USE lsf_nudging_mod, &
143	ONLY: td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert
144
145	USE module_interface, &
146	ONLY: module_interface_statistics
147
148	USE netcdf_interface, &
149	ONLY: dots_rad, dots_soil, dots_max
150
151	USE pegrid
152
153	USE radiation_model_mod, &
154	ONLY: radiation, radiation_scheme, &
155	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
156	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
157
158	USE statistics
159
160	USE surface_mod, &
161	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
162
163
164	IMPLICIT NONE
165
166	INTEGER(iwp) :: i !<
167	INTEGER(iwp) :: j !<
168	INTEGER(iwp) :: k !<
169	INTEGER(iwp) :: ki !<
170	INTEGER(iwp) :: k_surface_level !<
171	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
172	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
173	INTEGER(iwp) :: nt !<
174	!$ INTEGER(iwp) :: omp_get_thread_num !<
175	INTEGER(iwp) :: sr !<
176	INTEGER(iwp) :: tn !<
177
178	LOGICAL :: first !<
179
180	REAL(wp) :: dissipation !< dissipation rate
181	REAL(wp) :: dptdz_threshold !<
182	REAL(wp) :: du_dx !< Derivative of u fluctuations with respect to x
183	REAL(wp) :: du_dy !< Derivative of u fluctuations with respect to y
184	REAL(wp) :: du_dz !< Derivative of u fluctuations with respect to z
185	REAL(wp) :: dv_dx !< Derivative of v fluctuations with respect to x
186	REAL(wp) :: dv_dy !< Derivative of v fluctuations with respect to y
187	REAL(wp) :: dv_dz !< Derivative of v fluctuations with respect to z
188	REAL(wp) :: dw_dx !< Derivative of w fluctuations with respect to x
189	REAL(wp) :: dw_dy !< Derivative of w fluctuations with respect to y
190	REAL(wp) :: dw_dz !< Derivative of w fluctuations with respect to z
191	REAL(wp) :: eta !< Kolmogorov length scale
192	REAL(wp) :: fac !<
193	REAL(wp) :: flag !<
194	REAL(wp) :: height !<
195	REAL(wp) :: pts !<
196	REAL(wp) :: s11 !< fluctuating rate-of-strain tensor component 11
197	REAL(wp) :: s21 !< fluctuating rate-of-strain tensor component 21
198	REAL(wp) :: s31 !< fluctuating rate-of-strain tensor component 31
199	REAL(wp) :: s12 !< fluctuating rate-of-strain tensor component 12
200	REAL(wp) :: s22 !< fluctuating rate-of-strain tensor component 22
201	REAL(wp) :: s32 !< fluctuating rate-of-strain tensor component 32
202	REAL(wp) :: s13 !< fluctuating rate-of-strain tensor component 13
203	REAL(wp) :: s23 !< fluctuating rate-of-strain tensor component 23
204	REAL(wp) :: s33 !< fluctuating rate-of-strain tensor component 33
205	REAL(wp) :: sums_l_etot !<
206	REAL(wp) :: ust !<
207	REAL(wp) :: ust2 !<
208	REAL(wp) :: u2 !<
209	REAL(wp) :: vst !<
210	REAL(wp) :: vst2 !<
211	REAL(wp) :: v2 !<
212	REAL(wp) :: w2 !<
213
214	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
215	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
216
217	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
218
219
220	!
221	!-- To be on the safe side, check whether flow_statistics has already been
222	!-- called once after the current time step
223	IF ( flow_statistics_called ) THEN
224
225	message_string = 'flow_statistics is called two times within one ' // &
226	'timestep'
227	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
228
229	ENDIF
230
231	!
232	!-- Compute statistics for each (sub-)region
233	DO sr = 0, statistic_regions
234
235	!
236	!-- Initialize (local) summation array
237	sums_l = 0.0_wp
238	#ifdef _OPENACC
239	!$ACC KERNELS PRESENT(sums_l)
240	sums_l = 0.0_wp
241	!$ACC END KERNELS
242	#endif
243
244	!
245	!-- Store sums that have been computed in other subroutines in summation
246	!-- array
247	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
248	!-- WARNING: next line still has to be adjusted for OpenMP
249	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
250	heatflux_output_conversion ! heat flux from advec_s_bc
251	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
252	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
253
254	!
255	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
256	!-- scale) vertical fluxes and velocity variances by using commonly-
257	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
258	!-- in combination with the 5th order advection scheme, pronounced
259	!-- artificial kinks could be observed in the vertical profiles near the
260	!-- surface. Please note: these kinks were not related to the model truth,
261	!-- i.e. these kinks are just related to an evaluation problem.
262	!-- In order avoid these kinks, vertical fluxes and horizontal as well
263	!-- vertical velocity variances are calculated directly within the advection
264	!-- routines, according to the numerical discretization, to evaluate the
265	!-- statistical quantities as they will appear within the prognostic
266	!-- equations.
267	!-- Copy the turbulent quantities, evaluated in the advection routines to
268	!-- the local array sums_l() for further computations.
269	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
270
271	!
272	!-- According to the Neumann bc for the horizontal velocity components,
273	!-- the corresponding fluxes has to satisfiy the same bc.
274	IF ( ocean_mode ) THEN
275	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
276	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
277	ENDIF
278
279	DO i = 0, threads_per_task-1
280	!
281	!-- Swap the turbulent quantities evaluated in advec_ws.
282	sums_l(:,13,i) = sums_wsus_ws_l(:,i) &
283	* momentumflux_output_conversion ! wu
284	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) &
285	* momentumflux_output_conversion ! wv
286	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
287	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
288	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
289	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
290	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
291	sums_ws2_ws_l(:,i) ) ! e*
292	ENDDO
293
294	ENDIF
295
296	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
297
298	DO i = 0, threads_per_task-1
299	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
300	* heatflux_output_conversion ! wpt
301	IF ( ocean_mode ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
302	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
303	* waterflux_output_conversion ! wq
304	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
305	ENDDO
306
307	ENDIF
308	!
309	!-- Horizontally averaged profiles of horizontal velocities and temperature.
310	!-- They must have been computed before, because they are already required
311	!-- for other horizontal averages.
312	tn = 0
313	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
314	!$ tn = omp_get_thread_num()
315	!$OMP DO
316	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag) &
317	!$ACC PRESENT(wall_flags_total_0, u, v, pt, rmask, sums_l)
318	DO i = nxl, nxr
319	DO j = nys, nyn
320	DO k = nzb, nzt+1
321	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
322	!$ACC ATOMIC
323	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) &
324	* flag
325	!$ACC ATOMIC
326	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) &
327	* flag
328	!$ACC ATOMIC
329	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) &
330	* 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,
354	!-- total water content, water vapor mixing ratio and liquid water potential
355	!-- temperature
356	IF ( humidity ) THEN
357	!$OMP DO
358	DO i = nxl, nxr
359	DO j = nys, nyn
360	DO k = nzb, nzt+1
361	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
362	sums_l(k,44,tn) = sums_l(k,44,tn) + &
363	vpt(k,j,i) * rmask(j,i,sr) * flag
364	sums_l(k,41,tn) = sums_l(k,41,tn) + &
365	q(k,j,i) * rmask(j,i,sr) * flag
366	ENDDO
367	ENDDO
368	ENDDO
369	IF ( bulk_cloud_model ) THEN
370	!$OMP DO
371	DO i = nxl, nxr
372	DO j = nys, nyn
373	DO k = nzb, nzt+1
374	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
375	sums_l(k,42,tn) = sums_l(k,42,tn) + &
376	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) &
377	* flag
378	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
379	pt(k,j,i) + lv_d_cp * d_exner(k) * ql(k,j,i) &
380	) * rmask(j,i,sr) &
381	* flag
382	ENDDO
383	ENDDO
384	ENDDO
385	ENDIF
386	ENDIF
387
388	!
389	!-- Horizontally averaged profiles of passive scalar
390	IF ( passive_scalar ) THEN
391	!$OMP DO
392	DO i = nxl, nxr
393	DO j = nys, nyn
394	DO k = nzb, nzt+1
395	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
396	* rmask(j,i,sr) &
397	* MERGE( 1.0_wp, 0.0_wp, &
398	BTEST( wall_flags_total_0(k,j,i), 22 ) )
399	ENDDO
400	ENDDO
401	ENDDO
402	ENDIF
403	!$OMP END PARALLEL
404	!
405	!-- Summation of thread sums
406	IF ( threads_per_task > 1 ) THEN
407	DO i = 1, threads_per_task-1
408	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
409	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
410	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
411	IF ( ocean_mode ) THEN
412	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
413	ENDIF
414	IF ( humidity ) THEN
415	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
416	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
417	IF ( bulk_cloud_model ) THEN
418	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
419	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
420	ENDIF
421	ENDIF
422	IF ( passive_scalar ) THEN
423	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
424	ENDIF
425	ENDDO
426	ENDIF
427
428	#if defined( __parallel )
429	!
430	!-- Compute total sum from local sums
431	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
432	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
433	MPI_SUM, comm2d, ierr )
434	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
435	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
436	MPI_SUM, comm2d, ierr )
437	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
438	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
439	MPI_SUM, comm2d, ierr )
440	IF ( ocean_mode ) THEN
441	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
442	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
443	MPI_REAL, MPI_SUM, comm2d, ierr )
444	ENDIF
445	IF ( humidity ) THEN
446	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
447	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
448	MPI_REAL, MPI_SUM, comm2d, ierr )
449	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
450	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
451	MPI_REAL, MPI_SUM, comm2d, ierr )
452	IF ( bulk_cloud_model ) THEN
453	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
454	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
455	MPI_REAL, MPI_SUM, comm2d, ierr )
456	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
457	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
458	MPI_REAL, MPI_SUM, comm2d, ierr )
459	ENDIF
460	ENDIF
461
462	IF ( passive_scalar ) THEN
463	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
464	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, &
465	MPI_REAL, MPI_SUM, comm2d, ierr )
466	ENDIF
467	#else
468	sums(:,1) = sums_l(:,1,0)
469	sums(:,2) = sums_l(:,2,0)
470	sums(:,4) = sums_l(:,4,0)
471	IF ( ocean_mode ) sums(:,23) = sums_l(:,23,0)
472	IF ( humidity ) THEN
473	sums(:,44) = sums_l(:,44,0)
474	sums(:,41) = sums_l(:,41,0)
475	IF ( bulk_cloud_model ) THEN
476	sums(:,42) = sums_l(:,42,0)
477	sums(:,43) = sums_l(:,43,0)
478	ENDIF
479	ENDIF
480	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
481	#endif
482
483	!
484	!-- Final values are obtained by division by the total number of grid points
485	!-- used for summation. After that store profiles.
486	sums(:,1) = sums(:,1) / ngp_2dh(sr)
487	sums(:,2) = sums(:,2) / ngp_2dh(sr)
488	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
489	hom(:,1,1,sr) = sums(:,1) ! u
490	hom(:,1,2,sr) = sums(:,2) ! v
491	hom(:,1,4,sr) = sums(:,4) ! pt
492	!$ACC UPDATE DEVICE(hom(:,1,1,sr), hom(:,1,2,sr), hom(:,1,4,sr))
493
494
495	!
496	!-- Salinity
497	IF ( ocean_mode ) THEN
498	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
499	hom(:,1,23,sr) = sums(:,23) ! sa
500	ENDIF
501
502	!
503	!-- Humidity and cloud parameters
504	IF ( humidity ) THEN
505	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
506	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
507	hom(:,1,44,sr) = sums(:,44) ! vpt
508	hom(:,1,41,sr) = sums(:,41) ! qv (q)
509	IF ( bulk_cloud_model ) THEN
510	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
511	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
512	hom(:,1,42,sr) = sums(:,42) ! qv
513	hom(:,1,43,sr) = sums(:,43) ! pt
514	ENDIF
515	ENDIF
516
517	!
518	!-- Passive scalar
519	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / &
520	ngp_2dh_s_inner(:,sr) ! s
521
522	!
523	!-- Horizontally averaged profiles of the remaining prognostic variables,
524	!-- variances, the total and the perturbation energy (single values in last
525	!-- column of sums_l) and some diagnostic quantities.
526	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
527	!-- ---- speaking the following k-loop would have to be split up and
528	!-- rearranged according to the staggered grid.
529	!-- However, this implies no error since staggered velocity components
530	!-- are zero at the walls and inside buildings.
531	tn = 0
532	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, &
533	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
534	!$OMP w2, flag, m, ki, l )
535	!$ tn = omp_get_thread_num()
536	!$OMP DO
537	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, m) &
538	!$ACC PRIVATE(sums_l_etot, flag, du_dx, du_dy, du_dz) &
539	!$ACC PRIVATE(dv_dx, dv_dy, dv_dz, dw_dx, dw_dy, dw_dz) &
540	!$ACC PRIVATE(s11, s21, s31, s12, s22, s32, s13, s23, s33) &
541	!$ACC PRIVATE(dissipation, eta) &
542	!$ACC PRESENT(wall_flags_total_0, rmask, momentumflux_output_conversion) &
543	!$ACC PRESENT(hom(:,1,1:2,sr), hom(:,1,4,sr)) &
544	!$ACC PRESENT(e, u, v, w, km, kh, p, pt) &
545	!$ACC PRESENT(ddx, ddy, ddzu, ddzw) &
546	!$ACC PRESENT(surf_def_h(0), surf_lsm_h, surf_usm_h) &
547	!$ACC PRESENT(sums_l)
548	DO i = nxl, nxr
549	DO j = nys, nyn
550	sums_l_etot = 0.0_wp
551	DO k = nzb, nzt+1
552	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
553	!
554	!-- Prognostic and diagnostic variables
555	!$ACC ATOMIC
556	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) &
557	* flag
558	!$ACC ATOMIC
559	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) &
560	* flag
561	!$ACC ATOMIC
562	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) &
563	* flag
564	!$ACC ATOMIC
565	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) &
566	* flag
567	!$ACC ATOMIC
568	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
569	/ momentumflux_output_conversion(k) ) &
570	* flag
571
572	!$ACC ATOMIC
573	sums_l(k,33,tn) = sums_l(k,33,tn) + &
574	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)&
575	* flag
576	#ifndef _OPENACC
577	IF ( humidity ) THEN
578	sums_l(k,70,tn) = sums_l(k,70,tn) + &
579	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)&
580	* flag
581	ENDIF
582	IF ( passive_scalar ) THEN
583	sums_l(k,116,tn) = sums_l(k,116,tn) + &
584	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr)&
585	* flag
586	ENDIF
587	#endif
588	!
589	!-- Higher moments
590	!-- (Computation of the skewness of w further below)
591	!$ACC ATOMIC
592	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) &
593	* flag
594
595	sums_l_etot = sums_l_etot + &
596	0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + &
597	w(k,j,i)*2 ) rmask(j,i,sr)&
598	* flag
599
600	!
601	!-- Computation of the Kolmogorov length scale. Calculation is based
602	!-- on gradients of the deviations from the horizontal mean.
603	!-- Kolmogorov scale at the boundaries (k=0/z=0m and k=nzt+1) is set to zero.
604	IF ( kolmogorov_length_scale .AND. k /= nzb .AND. k /= nzt+1) THEN
605	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
606
607	!
608	!-- Calculate components of the fluctuating rate-of-strain tensor
609	!-- (0.5*(del u'_i/del x_j + del u'_j/del x_i)) defined in the
610	!-- center of each grid box.
611	du_dx = ( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
612	( u(k,j,i) - hom(k,1,1,sr) ) ) * ddx
613	du_dy = 0.25_wp * ddy * &
614	( ( u(k,j+1,i) - hom(k,1,1,sr) ) - &
615	( u(k,j-1,i) - hom(k,1,1,sr) ) + &
616	( u(k,j+1,i+1) - hom(k,1,1,sr) ) - &
617	( u(k,j-1,i+1) - hom(k,1,1,sr) ) )
618	du_dz = 0.25_wp * ( ( ( u(k+1,j,i) - hom(k+1,1,1,sr) ) - &
619	( u(k,j,i) - hom(k,1,1,sr) ) ) * &
620	ddzu(k+1) + &
621	( ( u(k,j,i) - hom(k,1,1,sr) ) - &
622	( u(k-1,j,i) - hom(k-1,1,1,sr) ) )* &
623	ddzu(k) + &
624	( ( u(k+1,j,i+1) - hom(k+1,1,1,sr) )- &
625	( u(k,j,i+1) - hom(k,1,1,sr) ) ) * &
626	ddzu(k+1) + &
627	( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
628	( u(k-1,j,i+1) - hom(k-1,1,1,sr) ) ) *&
629	ddzu(k) )
630
631	dv_dx = 0.25_wp * ddx * &
632	( ( v(k,j,i+1) - hom(k,1,2,sr) ) - &
633	( v(k,j,i-1) - hom(k,1,2,sr) ) + &
634	( v(k,j+1,i+1) - hom(k,1,2,sr) ) - &
635	( v(k,j+1,i-1) - hom(k,1,2,sr) ) )
636	dv_dy = ( ( v(k,j+1,i) - hom(k,1,2,sr) ) - &
637	( v(k,j,i) - hom(k,1,2,sr) ) ) * ddy
638	dv_dz = 0.25_wp * ( ( ( v(k+1,j,i) - hom(k+1,1,2,sr) ) - &
639	( v(k,j,i) - hom(k,1,2,sr) ) ) * &
640	ddzu(k+1) + &
641	( ( v(k,j,i) - hom(k,1,2,sr) ) - &
642	( v(k-1,j,i) - hom(k-1,1,2,sr) ) ) * &
643	ddzu(k) + &
644	( ( v(k+1,j+1,i) - hom(k+1,1,2,sr) ) - &
645	( v(k,j+1,i) - hom(k,1,2,sr) ) ) * &
646	ddzu(k+1) + &
647	( ( v(k,j+1,i) - hom(k,1,2,sr) ) - &
648	( v(k-1,j+1,i) - hom(k-1,1,2,sr) ) ) *&
649	ddzu(k) )
650
651	dw_dx = 0.25_wp * ddx * ( w(k,j,i+1) - w(k,j,i-1) + &
652	w(k-1,j,i+1) - w(k-1,j,i-1) )
653	dw_dy = 0.25_wp * ddy * ( w(k,j+1,i) - w(k,j-1,i) + &
654	w(k-1,j+1,i) - w(k-1,j-1,i) )
655	dw_dz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
656
657	s11 = 0.5_wp * ( du_dx + du_dx )
658	s21 = 0.5_wp * ( dv_dx + du_dy )
659	s31 = 0.5_wp * ( dw_dx + du_dz )
660
661	s12 = s21
662	s22 = 0.5 * ( dv_dy + dv_dy )
663	s32 = 0.5 * ( dw_dy + dv_dz )
664
665	s13 = s31
666	s23 = s32
667	s33 = 0.5_wp * ( dw_dz + dw_dz )
668
669	!-- Calculate 3D instantaneous energy dissipation rate after
670	!-- Pope (2000): Turbulent flows, p.259. It is defined in the center
671	!-- of each grid volume.
672	dissipation = 2.0_wp * km(k,j,i) * &
673	( s11s11 + s21s21 + s31*s31 + &
674	s12s12 + s22s22 + s32*s32 + &
675	s13s13 + s23s23 + s33*s33 )
676	eta = ( km(k,j,i)3.0_wp / ( dissipation+1.0E-12 ) )(1.0_wp/4.0_wp)
677
678	!$ACC ATOMIC
679	sums_l(k,121,tn) = sums_l(k,121,tn) + eta * rmask(j,i,sr) &
680	* flag
681
682
683	ENDIF !Kolmogorov length scale
684
685	ENDDO !k-loop
686	!
687	!-- Total and perturbation energy for the total domain (being
688	!-- collected in the last column of sums_l). Summation of these
689	!-- quantities is seperated from the previous loop in order to
690	!-- allow vectorization of that loop.
691	!$ACC ATOMIC
692	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
693	!
694	!-- 2D-arrays (being collected in the last column of sums_l)
695	IF ( surf_def_h(0)%end_index(j,i) >= &
696	surf_def_h(0)%start_index(j,i) ) THEN
697	m = surf_def_h(0)%start_index(j,i)
698	!$ACC ATOMIC
699	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
700	surf_def_h(0)%us(m) * rmask(j,i,sr)
701	!$ACC ATOMIC
702	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
703	surf_def_h(0)%usws(m) * rmask(j,i,sr)
704	!$ACC ATOMIC
705	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
706	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
707	!$ACC ATOMIC
708	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
709	surf_def_h(0)%ts(m) * rmask(j,i,sr)
710	#ifndef _OPENACC
711	IF ( humidity ) THEN
712	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
713	surf_def_h(0)%qs(m) * rmask(j,i,sr)
714	ENDIF
715	IF ( passive_scalar ) THEN
716	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
717	surf_def_h(0)%ss(m) * rmask(j,i,sr)
718	ENDIF
719	#endif
720	!
721	!-- Summation of surface temperature.
722	!$ACC ATOMIC
723	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
724	surf_def_h(0)%pt_surface(m) * &
725	rmask(j,i,sr)
726	ENDIF
727	IF ( surf_lsm_h%end_index(j,i) >= surf_lsm_h%start_index(j,i) ) THEN
728	m = surf_lsm_h%start_index(j,i)
729	!$ACC ATOMIC
730	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
731	surf_lsm_h%us(m) * rmask(j,i,sr)
732	!$ACC ATOMIC
733	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
734	surf_lsm_h%usws(m) * rmask(j,i,sr)
735	!$ACC ATOMIC
736	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
737	surf_lsm_h%vsws(m) * rmask(j,i,sr)
738	!$ACC ATOMIC
739	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
740	surf_lsm_h%ts(m) * rmask(j,i,sr)
741	#ifndef _OPENACC
742	IF ( humidity ) THEN
743	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
744	surf_lsm_h%qs(m) * rmask(j,i,sr)
745	ENDIF
746	IF ( passive_scalar ) THEN
747	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
748	surf_lsm_h%ss(m) * rmask(j,i,sr)
749	ENDIF
750	#endif
751	!
752	!-- Summation of surface temperature.
753	!$ACC ATOMIC
754	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
755	surf_lsm_h%pt_surface(m) * &
756	rmask(j,i,sr)
757	ENDIF
758	IF ( surf_usm_h%end_index(j,i) >= surf_usm_h%start_index(j,i) ) THEN
759	m = surf_usm_h%start_index(j,i)
760	!$ACC ATOMIC
761	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
762	surf_usm_h%us(m) * rmask(j,i,sr)
763	!$ACC ATOMIC
764	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
765	surf_usm_h%usws(m) * rmask(j,i,sr)
766	!$ACC ATOMIC
767	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
768	surf_usm_h%vsws(m) * rmask(j,i,sr)
769	!$ACC ATOMIC
770	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
771	surf_usm_h%ts(m) * rmask(j,i,sr)
772	#ifndef _OPENACC
773	IF ( humidity ) THEN
774	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
775	surf_usm_h%qs(m) * rmask(j,i,sr)
776	ENDIF
777	IF ( passive_scalar ) THEN
778	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
779	surf_usm_h%ss(m) * rmask(j,i,sr)
780	ENDIF
781	#endif
782	!
783	!-- Summation of surface temperature.
784	!$ACC ATOMIC
785	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
786	surf_usm_h%pt_surface(m) * &
787	rmask(j,i,sr)
788	ENDIF
789	ENDDO !j-loop
790	ENDDO !i-loop
791	!$ACC UPDATE &
792	!$ACC HOST(sums_l(:,3,tn), sums_l(:,8,tn), sums_l(:,9,tn)) &
793	!$ACC HOST(sums_l(:,10,tn), sums_l(:,40,tn), sums_l(:,33,tn)) &
794	!$ACC HOST(sums_l(:,38,tn), sums_l(:,121,tn)) &
795	!$ACC HOST(sums_l(nzb:nzb+4,pr_palm,tn), sums_l(nzb+14:nzb+14,pr_palm,tn))
796
797	!
798	!-- Computation of statistics when ws-scheme is not used. Else these
799	!-- quantities are evaluated in the advection routines.
800	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) &
801	THEN
802	!$OMP DO
803	DO i = nxl, nxr
804	DO j = nys, nyn
805	DO k = nzb, nzt+1
806	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
807
808	u2 = u(k,j,i)**2
809	v2 = v(k,j,i)**2
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
814	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) &
815	* flag
816	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) &
817	* flag
818	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) &
819	* flag
820	!
821	!-- Perturbation energy
822
823	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5_wp * &
824	( ust2 + vst2 + w2 ) * rmask(j,i,sr) &
825	* flag
826	ENDDO
827	ENDDO
828	ENDDO
829	ENDIF
830	!
831	!-- Computaion of domain-averaged perturbation energy. Please note,
832	!-- to prevent that perturbation energy is larger (even if only slightly)
833	!-- than the total kinetic energy, calculation is based on deviations from
834	!-- the horizontal mean, instead of spatial descretization of the advection
835	!-- term.
836	!$OMP DO
837	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag, w2, ust2, vst2) &
838	!$ACC PRESENT(wall_flags_total_0, u, v, w, rmask, hom(:,1,1:2,sr)) &
839	!$ACC PRESENT(sums_l)
840	DO i = nxl, nxr
841	DO j = nys, nyn
842	DO k = nzb, nzt+1
843	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
844
845	w2 = w(k,j,i)**2
846	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
847	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
848	w2 = w(k,j,i)**2
849
850	!$ACC ATOMIC
851	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
852	+ 0.5_wp * ( ust2 + vst2 + w2 ) &
853	* rmask(j,i,sr) &
854	* flag
855
856	ENDDO
857	ENDDO
858	ENDDO
859	!$ACC UPDATE HOST(sums_l(nzb+5:nzb+5,pr_palm,tn))
860
861	!
862	!-- Horizontally averaged profiles of the vertical fluxes
863
864	!$OMP DO
865	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) &
866	!$ACC PRIVATE(ki, flag, ust, vst, pts) &
867	!$ACC PRESENT(kh, km, u, v, w, pt) &
868	!$ACC PRESENT(wall_flags_total_0, rmask, ddzu, rho_air_zw, hom(:,1,1:4,sr)) &
869	!$ACC PRESENT(heatflux_output_conversion, momentumflux_output_conversion) &
870	!$ACC PRESENT(surf_def_h(0:2), surf_lsm_h, surf_usm_h) &
871	!$ACC PRESENT(sums_l)
872	DO i = nxl, nxr
873	DO j = nys, nyn
874	!
875	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
876	!-- oterwise from k=nzb+1)
877	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
878	!-- ---- strictly speaking the following k-loop would have to be
879	!-- split up according to the staggered grid.
880	!-- However, this implies no error since staggered velocity
881	!-- components are zero at the walls and inside buildings.
882	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes,
883	!-- which are added further below.
884	DO k = nzb, nzt
885	flag = MERGE( 1.0_wp, 0.0_wp, &
886	BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
887	MERGE( 1.0_wp, 0.0_wp, &
888	BTEST( wall_flags_total_0(k,j,i), 9 ) )
889	!
890	!-- Momentum flux w"u"
891	!$ACC ATOMIC
892	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
893	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
894	) * ( &
895	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
896	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
897	) * rmask(j,i,sr) &
898	* rho_air_zw(k) &
899	* momentumflux_output_conversion(k) &
900	* flag
901	!
902	!-- Momentum flux w"v"
903	!$ACC ATOMIC
904	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
905	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
906	) * ( &
907	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
908	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
909	) * rmask(j,i,sr) &
910	* rho_air_zw(k) &
911	* momentumflux_output_conversion(k) &
912	* flag
913	!
914	!-- Heat flux w"pt"
915	!$ACC ATOMIC
916	sums_l(k,16,tn) = sums_l(k,16,tn) &
917	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
918	* ( pt(k+1,j,i) - pt(k,j,i) ) &
919	* rho_air_zw(k) &
920	* heatflux_output_conversion(k) &
921	* ddzu(k+1) * rmask(j,i,sr) &
922	* flag
923
924	!
925	!-- Salinity flux w"sa"
926	#ifndef _OPENACC
927	IF ( ocean_mode ) THEN
928	sums_l(k,65,tn) = sums_l(k,65,tn) &
929	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
930	* ( sa(k+1,j,i) - sa(k,j,i) ) &
931	* ddzu(k+1) * rmask(j,i,sr) &
932	* flag
933	ENDIF
934
935	!
936	!-- Buoyancy flux, water flux (humidity flux) w"q"
937	IF ( humidity ) THEN
938	sums_l(k,45,tn) = sums_l(k,45,tn) &
939	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
940	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
941	* rho_air_zw(k) &
942	* heatflux_output_conversion(k) &
943	* ddzu(k+1) * rmask(j,i,sr) * flag
944	sums_l(k,48,tn) = sums_l(k,48,tn) &
945	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
946	* ( q(k+1,j,i) - q(k,j,i) ) &
947	* rho_air_zw(k) &
948	* waterflux_output_conversion(k)&
949	* ddzu(k+1) * rmask(j,i,sr) * flag
950
951	IF ( bulk_cloud_model ) THEN
952	sums_l(k,51,tn) = sums_l(k,51,tn) &
953	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
954	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
955	- ( q(k,j,i) - ql(k,j,i) ) ) &
956	* rho_air_zw(k) &
957	* waterflux_output_conversion(k)&
958	* ddzu(k+1) * rmask(j,i,sr) * flag
959	ENDIF
960	ENDIF
961
962	!
963	!-- Passive scalar flux
964	IF ( passive_scalar ) THEN
965	sums_l(k,117,tn) = sums_l(k,117,tn) &
966	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
967	* ( s(k+1,j,i) - s(k,j,i) ) &
968	* ddzu(k+1) * rmask(j,i,sr) &
969	* flag
970	ENDIF
971	#endif
972
973	ENDDO
974
975	!
976	!-- Subgridscale fluxes in the Prandtl layer
977	IF ( use_surface_fluxes ) THEN
978	DO l = 0, 1
979	! The original code using MERGE doesn't work with the PGI
980	! compiler when running on the GPU.
981	! This is submitted as a compiler Bug in PGI ticket TPR#26718
982	! ki = MERGE( -1, 0, l == 0 )
983	ki = -1 + l
984	IF ( surf_def_h(l)%ns >= 1 ) THEN
985	DO m = surf_def_h(l)%start_index(j,i), &
986	surf_def_h(l)%end_index(j,i)
987	k = surf_def_h(l)%k(m)
988
989	!$ACC ATOMIC
990	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
991	momentumflux_output_conversion(k+ki) * &
992	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
993	!$ACC ATOMIC
994	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
995	momentumflux_output_conversion(k+ki) * &
996	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
997	!$ACC ATOMIC
998	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
999	heatflux_output_conversion(k+ki) * &
1000	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1001	#if 0
1002	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
1003	0.0_wp * rmask(j,i,sr) ! u"pt"
1004	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
1005	0.0_wp * rmask(j,i,sr) ! v"pt"
1006	#endif
1007	#ifndef _OPENACC
1008	IF ( ocean_mode ) THEN
1009	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
1010	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1011	ENDIF
1012	IF ( humidity ) THEN
1013	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
1014	waterflux_output_conversion(k+ki) * &
1015	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1016	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
1017	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
1018	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
1019	surf_def_h(l)%qsws(m) ) &
1020	* heatflux_output_conversion(k+ki)
1021	IF ( cloud_droplets ) THEN
1022	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
1023	( 1.0_wp + 0.61_wp * q(k+ki,j,i) - &
1024	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
1025	0.61_wp * pt(k+ki,j,i) * surf_def_h(l)%qsws(m) ) &
1026	* heatflux_output_conversion(k+ki)
1027	ENDIF
1028	IF ( bulk_cloud_model ) THEN
1029	!
1030	!-- Formula does not work if ql(k+ki) /= 0.0
1031	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
1032	waterflux_output_conversion(k+ki) * &
1033	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1034	ENDIF
1035	ENDIF
1036	IF ( passive_scalar ) THEN
1037	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
1038	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1039	ENDIF
1040	#endif
1041
1042	ENDDO
1043
1044	ENDIF
1045	ENDDO
1046	IF ( surf_lsm_h%end_index(j,i) >= &
1047	surf_lsm_h%start_index(j,i) ) THEN
1048	m = surf_lsm_h%start_index(j,i)
1049	!$ACC ATOMIC
1050	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1051	momentumflux_output_conversion(nzb) * &
1052	surf_lsm_h%usws(m) * rmask(j,i,sr) ! w"u"
1053	!$ACC ATOMIC
1054	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1055	momentumflux_output_conversion(nzb) * &
1056	surf_lsm_h%vsws(m) * rmask(j,i,sr) ! w"v"
1057	!$ACC ATOMIC
1058	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1059	heatflux_output_conversion(nzb) * &
1060	surf_lsm_h%shf(m) * rmask(j,i,sr) ! w"pt"
1061	#if 0
1062	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1063	0.0_wp * rmask(j,i,sr) ! u"pt"
1064	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1065	0.0_wp * rmask(j,i,sr) ! v"pt"
1066	#endif
1067	#ifndef _OPENACC
1068	IF ( ocean_mode ) THEN
1069	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1070	surf_lsm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
1071	ENDIF
1072	IF ( humidity ) THEN
1073	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1074	waterflux_output_conversion(nzb) * &
1075	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1076	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1077	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1078	surf_lsm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1079	surf_lsm_h%qsws(m) ) &
1080	* heatflux_output_conversion(nzb)
1081	IF ( cloud_droplets ) THEN
1082	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1083	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1084	ql(nzb,j,i) ) * surf_lsm_h%shf(m) + &
1085	0.61_wp * pt(nzb,j,i) * surf_lsm_h%qsws(m) ) &
1086	* heatflux_output_conversion(nzb)
1087	ENDIF
1088	IF ( bulk_cloud_model ) THEN
1089	!
1090	!-- Formula does not work if ql(nzb) /= 0.0
1091	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1092	waterflux_output_conversion(nzb) * &
1093	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1094	ENDIF
1095	ENDIF
1096	IF ( passive_scalar ) THEN
1097	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1098	surf_lsm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1099	ENDIF
1100	#endif
1101
1102	ENDIF
1103	IF ( surf_usm_h%end_index(j,i) >= &
1104	surf_usm_h%start_index(j,i) ) THEN
1105	m = surf_usm_h%start_index(j,i)
1106	!$ACC ATOMIC
1107	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1108	momentumflux_output_conversion(nzb) * &
1109	surf_usm_h%usws(m) * rmask(j,i,sr) ! w"u"
1110	!$ACC ATOMIC
1111	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1112	momentumflux_output_conversion(nzb) * &
1113	surf_usm_h%vsws(m) * rmask(j,i,sr) ! w"v"
1114	!$ACC ATOMIC
1115	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1116	heatflux_output_conversion(nzb) * &
1117	surf_usm_h%shf(m) * rmask(j,i,sr) ! w"pt"
1118	#if 0
1119	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1120	0.0_wp * rmask(j,i,sr) ! u"pt"
1121	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1122	0.0_wp * rmask(j,i,sr) ! v"pt"
1123	#endif
1124	#ifndef _OPENACC
1125	IF ( ocean_mode ) THEN
1126	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1127	surf_usm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
1128	ENDIF
1129	IF ( humidity ) THEN
1130	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1131	waterflux_output_conversion(nzb) * &
1132	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1133	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1134	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1135	surf_usm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1136	surf_usm_h%qsws(m) ) &
1137	* heatflux_output_conversion(nzb)
1138	IF ( cloud_droplets ) THEN
1139	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1140	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1141	ql(nzb,j,i) ) * surf_usm_h%shf(m) + &
1142	0.61_wp * pt(nzb,j,i) * surf_usm_h%qsws(m) ) &
1143	* heatflux_output_conversion(nzb)
1144	ENDIF
1145	IF ( bulk_cloud_model ) THEN
1146	!
1147	!-- Formula does not work if ql(nzb) /= 0.0
1148	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1149	waterflux_output_conversion(nzb) * &
1150	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1151	ENDIF
1152	ENDIF
1153	IF ( passive_scalar ) THEN
1154	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1155	surf_usm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1156	ENDIF
1157	#endif
1158
1159	ENDIF
1160
1161	ENDIF
1162
1163	#ifndef _OPENACC
1164	IF ( .NOT. neutral ) THEN
1165	IF ( surf_def_h(0)%end_index(j,i) >= &
1166	surf_def_h(0)%start_index(j,i) ) THEN
1167	m = surf_def_h(0)%start_index(j,i)
1168	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1169	surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1170	ENDIF
1171	IF ( surf_lsm_h%end_index(j,i) >= &
1172	surf_lsm_h%start_index(j,i) ) THEN
1173	m = surf_lsm_h%start_index(j,i)
1174	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1175	surf_lsm_h%ol(m) * rmask(j,i,sr) ! L
1176	ENDIF
1177	IF ( surf_usm_h%end_index(j,i) >= &
1178	surf_usm_h%start_index(j,i) ) THEN
1179	m = surf_usm_h%start_index(j,i)
1180	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1181	surf_usm_h%ol(m) * rmask(j,i,sr) ! L
1182	ENDIF
1183	ENDIF
1184
1185	IF ( radiation ) THEN
1186	IF ( surf_def_h(0)%end_index(j,i) >= &
1187	surf_def_h(0)%start_index(j,i) ) THEN
1188	m = surf_def_h(0)%start_index(j,i)
1189	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1190	surf_def_h(0)%rad_net(m) * rmask(j,i,sr)
1191	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1192	surf_def_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1193	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1194	surf_def_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1195	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1196	surf_def_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1197	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1198	surf_def_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1199	ENDIF
1200	IF ( surf_lsm_h%end_index(j,i) >= &
1201	surf_lsm_h%start_index(j,i) ) THEN
1202	m = surf_lsm_h%start_index(j,i)
1203	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1204	surf_lsm_h%rad_net(m) * rmask(j,i,sr)
1205	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1206	surf_lsm_h%rad_lw_in(m) * rmask(j,i,sr)
1207	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1208	surf_lsm_h%rad_lw_out(m) * rmask(j,i,sr)
1209	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1210	surf_lsm_h%rad_sw_in(m) * rmask(j,i,sr)
1211	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1212	surf_lsm_h%rad_sw_out(m) * rmask(j,i,sr)
1213	ENDIF
1214	IF ( surf_usm_h%end_index(j,i) >= &
1215	surf_usm_h%start_index(j,i) ) THEN
1216	m = surf_usm_h%start_index(j,i)
1217	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1218	surf_usm_h%rad_net(m) * rmask(j,i,sr)
1219	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1220	surf_usm_h%rad_lw_in(m) * rmask(j,i,sr)
1221	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1222	surf_usm_h%rad_lw_out(m) * rmask(j,i,sr)
1223	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1224	surf_usm_h%rad_sw_in(m) * rmask(j,i,sr)
1225	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1226	surf_usm_h%rad_sw_out(m) * rmask(j,i,sr)
1227	ENDIF
1228
1229	#if defined ( __rrtmg )
1230	IF ( radiation_scheme == 'rrtmg' ) THEN
1231
1232	IF ( surf_def_h(0)%end_index(j,i) >= &
1233	surf_def_h(0)%start_index(j,i) ) THEN
1234	m = surf_def_h(0)%start_index(j,i)
1235	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1236	surf_def_h(0)%rrtm_aldif(m,0) * rmask(j,i,sr)
1237	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1238	surf_def_h(0)%rrtm_aldir(m,0) * rmask(j,i,sr)
1239	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1240	surf_def_h(0)%rrtm_asdif(m,0) * rmask(j,i,sr)
1241	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1242	surf_def_h(0)%rrtm_asdir(m,0) * rmask(j,i,sr)
1243	ENDIF
1244	IF ( surf_lsm_h%end_index(j,i) >= &
1245	surf_lsm_h%start_index(j,i) ) THEN
1246	m = surf_lsm_h%start_index(j,i)
1247	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1248	SUM( surf_lsm_h%frac(m,:) * &
1249	surf_lsm_h%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1250	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1251	SUM( surf_lsm_h%frac(m,:) * &
1252	surf_lsm_h%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1253	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1254	SUM( surf_lsm_h%frac(m,:) * &
1255	surf_lsm_h%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1256	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1257	SUM( surf_lsm_h%frac(m,:) * &
1258	surf_lsm_h%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1259	ENDIF
1260	IF ( surf_usm_h%end_index(j,i) >= &
1261	surf_usm_h%start_index(j,i) ) THEN
1262	m = surf_usm_h%start_index(j,i)
1263	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1264	SUM( surf_usm_h%frac(m,:) * &
1265	surf_usm_h%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1266	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1267	SUM( surf_usm_h%frac(m,:) * &
1268	surf_usm_h%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1269	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1270	SUM( surf_usm_h%frac(m,:) * &
1271	surf_usm_h%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1272	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1273	SUM( surf_usm_h%frac(m,:) * &
1274	surf_usm_h%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1275	ENDIF
1276
1277	ENDIF
1278	#endif
1279	ENDIF
1280	#endif
1281	!
1282	!-- Subgridscale fluxes at the top surface
1283	IF ( use_top_fluxes ) THEN
1284	m = surf_def_h(2)%start_index(j,i)
1285	!$ACC ATOMIC
1286	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
1287	momentumflux_output_conversion(nzt) * &
1288	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1289	!$ACC ATOMIC
1290	sums_l(nzt+1,12,tn) = sums_l(nzt+1,12,tn) + &
1291	momentumflux_output_conversion(nzt+1) * &
1292	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1293	!$ACC ATOMIC
1294	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
1295	momentumflux_output_conversion(nzt) * &
1296	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1297	!$ACC ATOMIC
1298	sums_l(nzt+1,14,tn) = sums_l(nzt+1,14,tn) + &
1299	momentumflux_output_conversion(nzt+1) * &
1300	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1301	!$ACC ATOMIC
1302	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
1303	heatflux_output_conversion(nzt) * &
1304	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1305	!$ACC ATOMIC
1306	sums_l(nzt+1,16,tn) = sums_l(nzt+1,16,tn) + &
1307	heatflux_output_conversion(nzt+1) * &
1308	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1309	#if 0
1310	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1311	0.0_wp * rmask(j,i,sr) ! u"pt"
1312	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1313	0.0_wp * rmask(j,i,sr) ! v"pt"
1314	#endif
1315	#ifndef _OPENACC
1316	IF ( ocean_mode ) THEN
1317	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1318	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1319	ENDIF
1320	IF ( humidity ) THEN
1321	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1322	waterflux_output_conversion(nzt) * &
1323	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1324	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1325	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
1326	surf_def_h(2)%shf(m) + &
1327	0.61_wp * pt(nzt,j,i) * &
1328	surf_def_h(2)%qsws(m) ) &
1329	* heatflux_output_conversion(nzt)
1330	IF ( cloud_droplets ) THEN
1331	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1332	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1333	ql(nzt,j,i) ) * &
1334	surf_def_h(2)%shf(m) + &
1335	0.61_wp * pt(nzt,j,i) * &
1336	surf_def_h(2)%qsws(m) )&
1337	* heatflux_output_conversion(nzt)
1338	ENDIF
1339	IF ( bulk_cloud_model ) THEN
1340	!
1341	!-- Formula does not work if ql(nzb) /= 0.0
1342	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1343	waterflux_output_conversion(nzt) * &
1344	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1345	ENDIF
1346	ENDIF
1347	IF ( passive_scalar ) THEN
1348	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1349	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1350	ENDIF
1351	#endif
1352	ENDIF
1353
1354	!
1355	!-- Resolved fluxes (can be computed for all horizontal points)
1356	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
1357	!-- ---- speaking the following k-loop would have to be split up and
1358	!-- rearranged according to the staggered grid.
1359	DO k = nzb, nzt
1360	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
1361	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1362	u(k+1,j,i) - hom(k+1,1,1,sr) )
1363	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1364	v(k+1,j,i) - hom(k+1,1,2,sr) )
1365	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1366	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1367
1368	!-- Higher moments
1369	!$ACC ATOMIC
1370	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
1371	rmask(j,i,sr) * flag
1372	!$ACC ATOMIC
1373	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
1374	rmask(j,i,sr) * flag
1375
1376	!
1377	!-- Salinity flux and density (density does not belong to here,
1378	!-- but so far there is no other suitable place to calculate)
1379	#ifndef _OPENACC
1380	IF ( ocean_mode ) THEN
1381	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1382	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1383	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1384	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1385	rmask(j,i,sr) * flag
1386	ENDIF
1387	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * &
1388	rmask(j,i,sr) * flag
1389	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
1390	rmask(j,i,sr) * flag
1391	ENDIF
1392
1393	!
1394	!-- Buoyancy flux, water flux, humidity flux, liquid water
1395	!-- content, rain drop concentration and rain water content
1396	IF ( humidity ) THEN
1397	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
1398	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1399	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1400	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1401	rho_air_zw(k) * &
1402	heatflux_output_conversion(k) * &
1403	rmask(j,i,sr) * flag
1404	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) &
1405	* flag
1406
1407	IF ( .NOT. cloud_droplets ) THEN
1408	pts = 0.5_wp * &
1409	( ( q(k,j,i) - ql(k,j,i) ) - &
1410	hom(k,1,42,sr) + &
1411	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1412	hom(k+1,1,42,sr) )
1413	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1414	rho_air_zw(k) * &
1415	waterflux_output_conversion(k) * &
1416	rmask(j,i,sr) * &
1417	flag
1418	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
1419	rmask(j,i,sr) * &
1420	flag
1421	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * &
1422	rmask(j,i,sr) * &
1423	flag
1424	IF ( microphysics_morrison ) THEN
1425	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * &
1426	rmask(j,i,sr) *&
1427	flag
1428	ENDIF
1429	IF ( microphysics_ice_phase ) THEN
1430	sums_l(k,124,tn) = sums_l(k,124,tn) + ni(k,j,i) * &
1431	rmask(j,i,sr) *&
1432	flag
1433	sums_l(k,125,tn) = sums_l(k,125,tn) + qi(k,j,i) * &
1434	rmask(j,i,sr) *&
1435	flag
1436	ENDIF
1437
1438	IF ( microphysics_seifert ) THEN
1439	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
1440	rmask(j,i,sr) *&
1441	flag
1442	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
1443	rmask(j,i,sr) *&
1444	flag
1445	ENDIF
1446	ENDIF
1447
1448	ELSE
1449	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1450	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1451	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1452	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1453	rho_air_zw(k) * &
1454	heatflux_output_conversion(k) * &
1455	rmask(j,i,sr) * &
1456	flag
1457	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1458	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1459	hom(k,1,41,sr) ) * &
1460	sums_l(k,17,tn) + &
1461	0.61_wp * hom(k,1,4,sr) * &
1462	sums_l(k,49,tn) &
1463	) * heatflux_output_conversion(k) * &
1464	flag
1465	END IF
1466	END IF
1467	ENDIF
1468	!
1469	!-- Passive scalar flux
1470	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
1471	.OR. sr /= 0 ) ) THEN
1472	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1473	s(k+1,j,i) - hom(k+1,1,115,sr) )
1474	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1475	rmask(j,i,sr) * flag
1476	ENDIF
1477	#endif
1478
1479	!
1480	!-- Energy flux we
1481	!-- has to be adjusted
1482	!$ACC ATOMIC
1483	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1484	( ust2 + vst2 + w(k,j,i)**2 ) &
1485	* rho_air_zw(k) &
1486	* momentumflux_output_conversion(k) &
1487	* rmask(j,i,sr) * flag
1488	ENDDO
1489	ENDDO
1490	ENDDO
1491	!$OMP END PARALLEL
1492
1493	!$ACC UPDATE &
1494	!$ACC HOST(sums_l(:,12,tn), sums_l(:,14,tn), sums_l(:,16,tn)) &
1495	!$ACC HOST(sums_l(:,35,tn), sums_l(:,36,tn), sums_l(:,37,tn))
1496	!
1497	!-- Treat land-surface quantities according to new wall model structure.
1498	IF ( land_surface ) THEN
1499	tn = 0
1500	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1501	!$ tn = omp_get_thread_num()
1502	!$OMP DO
1503	DO m = 1, surf_lsm_h%ns
1504	i = surf_lsm_h%i(m)
1505	j = surf_lsm_h%j(m)
1506
1507	IF ( i >= nxl .AND. i <= nxr .AND. &
1508	j >= nys .AND. j <= nyn ) THEN
1509	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h%ghf(m) * rmask(j,i,sr)
1510	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h%qsws_liq(m) * rmask(j,i,sr)
1511	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h%qsws_soil(m) * rmask(j,i,sr)
1512	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h%qsws_veg(m) * rmask(j,i,sr)
1513	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h%r_a(m) * rmask(j,i,sr)
1514	sums_l(nzb,98,tn) = sums_l(nzb,98,tn) + surf_lsm_h%r_s(m) * rmask(j,i,sr)
1515	ENDIF
1516	ENDDO
1517	!$OMP END PARALLEL
1518
1519	tn = 0
1520	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1521	!$ tn = omp_get_thread_num()
1522	!$OMP DO
1523	DO m = 1, surf_lsm_h%ns
1524
1525	i = surf_lsm_h%i(m)
1526	j = surf_lsm_h%j(m)
1527
1528	IF ( i >= nxl .AND. i <= nxr .AND. &
1529	j >= nys .AND. j <= nyn ) THEN
1530
1531	DO k = nzb_soil, nzt_soil
1532	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h%var_2d(k,m) &
1533	* rmask(j,i,sr)
1534	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h%var_2d(k,m) &
1535	* rmask(j,i,sr)
1536	ENDDO
1537	ENDIF
1538	ENDDO
1539	!$OMP END PARALLEL
1540	ENDIF
1541	!
1542	!-- For speed optimization fluxes which have been computed in part directly
1543	!-- inside the WS advection routines are treated seperatly
1544	!-- Momentum fluxes first:
1545
1546	tn = 0
1547	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
1548	!$ tn = omp_get_thread_num()
1549	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1550	!$OMP DO
1551	DO i = nxl, nxr
1552	DO j = nys, nyn
1553	DO k = nzb, nzt
1554	!
1555	!-- Flag 23 is used to mask surface fluxes as well as model-top
1556	!-- fluxes, which are added further below.
1557	flag = MERGE( 1.0_wp, 0.0_wp, &
1558	BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1559	MERGE( 1.0_wp, 0.0_wp, &
1560	BTEST( wall_flags_total_0(k,j,i), 9 ) )
1561
1562	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1563	u(k+1,j,i) - hom(k+1,1,1,sr) )
1564	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1565	v(k+1,j,i) - hom(k+1,1,2,sr) )
1566	!
1567	!-- Momentum flux wu
1568	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
1569	( w(k,j,i-1) + w(k,j,i) ) &
1570	* rho_air_zw(k) &
1571	* momentumflux_output_conversion(k) &
1572	* ust * rmask(j,i,sr) &
1573	* flag
1574	!
1575	!-- Momentum flux wv
1576	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * &
1577	( w(k,j-1,i) + w(k,j,i) ) &
1578	* rho_air_zw(k) &
1579	* momentumflux_output_conversion(k) &
1580	* vst * rmask(j,i,sr) &
1581	* flag
1582	ENDDO
1583	ENDDO
1584	ENDDO
1585
1586	ENDIF
1587	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1588	!$OMP DO
1589	DO i = nxl, nxr
1590	DO j = nys, nyn
1591	DO k = nzb, nzt
1592	flag = MERGE( 1.0_wp, 0.0_wp, &
1593	BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1594	MERGE( 1.0_wp, 0.0_wp, &
1595	BTEST( wall_flags_total_0(k,j,i), 9 ) )
1596	!
1597	!-- Vertical heat flux
1598	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1599	( pt(k,j,i) - hom(k,1,4,sr) + &
1600	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1601	* rho_air_zw(k) &
1602	* heatflux_output_conversion(k) &
1603	* w(k,j,i) * rmask(j,i,sr) * flag
1604	IF ( humidity ) THEN
1605	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1606	q(k+1,j,i) - hom(k+1,1,41,sr) )
1607	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1608	rho_air_zw(k) * &
1609	waterflux_output_conversion(k) * &
1610	rmask(j,i,sr) * flag
1611	ENDIF
1612	IF ( passive_scalar ) THEN
1613	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1614	s(k+1,j,i) - hom(k+1,1,115,sr) )
1615	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1616	rmask(j,i,sr) * flag
1617	ENDIF
1618	ENDDO
1619	ENDDO
1620	ENDDO
1621
1622	ENDIF
1623
1624	!
1625	!-- Density at top follows Neumann condition
1626	IF ( ocean_mode ) THEN
1627	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1628	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1629	ENDIF
1630
1631	!
1632	!-- Divergence of vertical flux of resolved scale energy and pressure
1633	!-- fluctuations as well as flux of pressure fluctuation itself (68).
1634	!-- First calculate the products, then the divergence.
1635	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1636	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) &
1637	THEN
1638	sums_ll = 0.0_wp ! local array
1639
1640	!$OMP DO
1641	DO i = nxl, nxr
1642	DO j = nys, nyn
1643	DO k = nzb+1, nzt
1644	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1645
1646	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1647	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1648	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2&
1649	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1650	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2&
1651	+ w(k,j,i)*2 ) flag * rmask(j,i,sr)
1652
1653	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1654	* ( ( p(k,j,i) + p(k+1,j,i) ) &
1655	/ momentumflux_output_conversion(k) ) &
1656	* flag * rmask(j,i,sr)
1657
1658	ENDDO
1659	ENDDO
1660	ENDDO
1661	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1662	sums_ll(nzt+1,1) = 0.0_wp
1663	sums_ll(0,2) = 0.0_wp
1664	sums_ll(nzt+1,2) = 0.0_wp
1665
1666	DO k = nzb+1, nzt
1667	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1668	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1669	sums_l(k,68,tn) = sums_ll(k,2)
1670	ENDDO
1671	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1672	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1673	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1674
1675	ENDIF
1676
1677	!
1678	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1679	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) &
1680	THEN
1681	!$OMP DO
1682	DO i = nxl, nxr
1683	DO j = nys, nyn
1684	DO k = nzb+1, nzt
1685
1686	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1687
1688	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1689	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1690	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1691	) * ddzw(k) &
1692	* flag * rmask(j,i,sr)
1693
1694	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1695	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1696	) * flag * rmask(j,i,sr)
1697
1698	ENDDO
1699	ENDDO
1700	ENDDO
1701	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1702	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1703
1704	ENDIF
1705
1706	!
1707	!-- Horizontal heat fluxes (subgrid, resolved, total).
1708	!-- Do it only, if profiles shall be plotted.
1709	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1710
1711	!$OMP DO
1712	DO i = nxl, nxr
1713	DO j = nys, nyn
1714	DO k = nzb+1, nzt
1715	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1716	!
1717	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1718	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1719	( kh(k,j,i) + kh(k,j,i-1) ) &
1720	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1721	* rho_air_zw(k) &
1722	* heatflux_output_conversion(k) &
1723	* ddx * rmask(j,i,sr) * flag
1724	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1725	( kh(k,j,i) + kh(k,j-1,i) ) &
1726	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1727	* rho_air_zw(k) &
1728	* heatflux_output_conversion(k) &
1729	* ddy * rmask(j,i,sr) * flag
1730	!
1731	!-- Resolved horizontal heat fluxes upt, vpt
1732	sums_l(k,59,tn) = sums_l(k,59,tn) + &
1733	( u(k,j,i) - hom(k,1,1,sr) ) &
1734	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1735	pt(k,j,i) - hom(k,1,4,sr) ) &
1736	* heatflux_output_conversion(k) &
1737	* flag
1738	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1739	pt(k,j,i) - hom(k,1,4,sr) )
1740	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1741	( v(k,j,i) - hom(k,1,2,sr) ) &
1742	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1743	pt(k,j,i) - hom(k,1,4,sr) ) &
1744	* heatflux_output_conversion(k) &
1745	* flag
1746	ENDDO
1747	ENDDO
1748	ENDDO
1749	!
1750	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1751	sums_l(nzb,58,tn) = 0.0_wp
1752	sums_l(nzb,59,tn) = 0.0_wp
1753	sums_l(nzb,60,tn) = 0.0_wp
1754	sums_l(nzb,61,tn) = 0.0_wp
1755	sums_l(nzb,62,tn) = 0.0_wp
1756	sums_l(nzb,63,tn) = 0.0_wp
1757
1758	ENDIF
1759	!$OMP END PARALLEL
1760
1761	!
1762	!-- Collect current large scale advection and subsidence tendencies for
1763	!-- data output
1764	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1765	!
1766	!-- Interpolation in time of LSF_DATA
1767	nt = 1
1768	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1769	nt = nt + 1
1770	ENDDO
1771	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1772	nt = nt - 1
1773	ENDIF
1774
1775	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
1776	/ ( time_vert(nt+1)-time_vert(nt) )
1777
1778
1779	DO k = nzb, nzt
1780	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
1781	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1782	sums_ls_l(k,1) = td_lsa_q(k,nt) &
1783	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1784	ENDDO
1785
1786	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1787	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1788
1789	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1790
1791	DO k = nzb, nzt
1792	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
1793	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1794	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
1795	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1796	ENDDO
1797
1798	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1799	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1800
1801	ENDIF
1802
1803	ENDIF
1804
1805	tn = 0
1806	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1807	!$ tn = omp_get_thread_num()
1808	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1809	!$OMP DO
1810	DO i = nxl, nxr
1811	DO j = nys, nyn
1812	DO k = nzb+1, nzt+1
1813	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1814
1815	sums_l(k,100,tn) = sums_l(k,100,tn) + rad_lw_in(k,j,i) &
1816	* rmask(j,i,sr) * flag
1817	sums_l(k,101,tn) = sums_l(k,101,tn) + rad_lw_out(k,j,i) &
1818	* rmask(j,i,sr) * flag
1819	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_sw_in(k,j,i) &
1820	* rmask(j,i,sr) * flag
1821	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_sw_out(k,j,i) &
1822	* rmask(j,i,sr) * flag
1823	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_lw_cs_hr(k,j,i) &
1824	* rmask(j,i,sr) * flag
1825	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_lw_hr(k,j,i) &
1826	* rmask(j,i,sr) * flag
1827	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_sw_cs_hr(k,j,i) &
1828	* rmask(j,i,sr) * flag
1829	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_sw_hr(k,j,i) &
1830	* rmask(j,i,sr) * flag
1831	ENDDO
1832	ENDDO
1833	ENDDO
1834	ENDIF
1835
1836	!
1837	!-- Calculate the profiles for all other modules
1838	CALL module_interface_statistics( 'profiles', sr, tn, dots_max )
1839	!$OMP END PARALLEL
1840
1841	!
1842	!-- Summation of thread sums
1843	IF ( threads_per_task > 1 ) THEN
1844	DO i = 1, threads_per_task-1
1845	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1846	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1847	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1848	sums_l(:,45:pr_palm,i)
1849	IF ( max_pr_user > 0 ) THEN
1850	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1851	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1852	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1853	ENDIF
1854
1855	IF ( air_chemistry ) THEN
1856	IF ( max_pr_cs > 0 ) THEN
1857	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+ max_pr_cs,0) = &
1858	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,0) + &
1859	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,i)
1860
1861	ENDIF
1862	ENDIF
1863	IF ( salsa ) THEN
1864	IF ( max_pr_cs > 0 ) THEN
1865	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) = &
1866	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) + &
1867	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,i)
1868
1869	ENDIF
1870	ENDIF
1871	ENDDO
1872	ENDIF
1873
1874	#if defined( __parallel )
1875
1876	!
1877	!-- Compute total sum from local sums
1878	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1879	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1880	MPI_SUM, comm2d, ierr )
1881	IF ( large_scale_forcing ) THEN
1882	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
1883	MPI_REAL, MPI_SUM, comm2d, ierr )
1884	ENDIF
1885
1886	IF ( air_chemistry .AND. max_pr_cs > 0 ) THEN
1887	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1888	DO i = 1, max_pr_cs
1889	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+i,0), &
1890	sums(nzb,pr_palm+max_pr_user+i), &
1891	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1892	ENDDO
1893	ENDIF
1894
1895	IF ( salsa .AND. max_pr_salsa > 0 ) THEN
1896	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1897	DO i = 1, max_pr_salsa
1898	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+max_pr_cs+i,0), &
1899	sums(nzb,pr_palm+max_pr_user+max_pr_user+i), &
1900	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1901	ENDDO
1902	ENDIF
1903
1904	#else
1905	sums = sums_l(:,:,0)
1906	IF ( large_scale_forcing ) THEN
1907	sums(:,81:88) = sums_ls_l
1908	ENDIF
1909	#endif
1910
1911	!
1912	!-- Final values are obtained by division by the total number of grid points
1913	!-- used for summation. After that store profiles.
1914	!-- Check, if statistical regions do contain at least one grid point at the
1915	!-- respective k-level, otherwise division by zero will lead to undefined
1916	!-- values, which may cause e.g. problems with NetCDF output
1917	!-- Profiles:
1918	DO k = nzb, nzt+1
1919	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1920	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1921	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1922	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1923	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1924	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1925	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1926	sums(k,89:112) = sums(k,89:112) / ngp_2dh(sr)
1927	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1928	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1929	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1930	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1931	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1932	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1933	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1934	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1935	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1936	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1937	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1938	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1939	sums(k,123:125) = sums(k,123:125) * ngp_2dh_s_inner(k,sr) / ngp_2dh(sr)
1940	ENDIF
1941	ENDDO
1942
1943	!-- u* and so on
1944	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1945	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1946	!-- above the topography, they are being divided by ngp_2dh(sr)
1947	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1948	ngp_2dh(sr)
1949	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1950	ngp_2dh(sr)
1951	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / & ! ss
1952	ngp_2dh(sr)
1953	sums(nzb+14,pr_palm) = sums(nzb+14,pr_palm) / & ! surface temperature
1954	ngp_2dh(sr)
1955	!-- eges, e*
1956	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1957	ngp_3d(sr)
1958	!-- Old and new divergence
1959	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1960	ngp_3d_inner(sr)
1961
1962	!-- User-defined profiles
1963	IF ( max_pr_user > 0 ) THEN
1964	DO k = nzb, nzt+1
1965	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1966	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1967	ngp_2dh_s_inner(k,sr)
1968	ENDDO
1969	ENDIF
1970
1971	IF ( air_chemistry ) THEN
1972	IF ( max_pr_cs > 0 ) THEN
1973	DO k = nzb, nzt+1
1974	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) = &
1975	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) / &
1976	ngp_2dh_s_inner(k,sr)
1977	ENDDO
1978	ENDIF
1979	ENDIF
1980
1981	IF ( salsa ) THEN
1982	IF ( max_pr_salsa > 0 ) THEN
1983	DO k = nzb, nzt+1
1984	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) = &
1985	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) &
1986	/ ngp_2dh_s_inner(k,sr)
1987	ENDDO
1988	ENDIF
1989	ENDIF
1990
1991	!
1992	!-- Collect horizontal average in hom.
1993	!-- Compute deduced averages (e.g. total heat flux)
1994	hom(:,1,3,sr) = sums(:,3) ! w
1995	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1996	hom(:,1,9,sr) = sums(:,9) ! km
1997	hom(:,1,10,sr) = sums(:,10) ! kh
1998	hom(:,1,11,sr) = sums(:,11) ! l
1999	hom(:,1,12,sr) = sums(:,12) ! w"u"
2000	hom(:,1,13,sr) = sums(:,13) ! wu
2001	hom(:,1,14,sr) = sums(:,14) ! w"v"
2002	hom(:,1,15,sr) = sums(:,15) ! wv
2003	hom(:,1,16,sr) = sums(:,16) ! w"pt"
2004	hom(:,1,17,sr) = sums(:,17) ! wpt
2005	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
2006	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
2007	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
2008	hom(:,1,21,sr) = sums(:,21) ! wptBC
2009	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
2010	! profile 24 is initial profile (sa)
2011	! profiles 25-29 left empty for initial
2012	! profiles
2013	hom(:,1,30,sr) = sums(:,30) ! u*2
2014	hom(:,1,31,sr) = sums(:,31) ! v*2
2015	hom(:,1,32,sr) = sums(:,32) ! w*2
2016	hom(:,1,33,sr) = sums(:,33) ! pt*2
2017	hom(:,1,34,sr) = sums(:,34) ! e*
2018	hom(:,1,35,sr) = sums(:,35) ! w2pt
2019	hom(:,1,36,sr) = sums(:,36) ! wpt2
2020	hom(:,1,37,sr) = sums(:,37) ! we
2021	hom(:,1,38,sr) = sums(:,38) ! w*3
2022	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
2023	hom(:,1,40,sr) = sums(:,40) ! p
2024	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
2025	hom(:,1,46,sr) = sums(:,46) ! wvpt
2026	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
2027	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
2028	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
2029	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
2030	hom(:,1,51,sr) = sums(:,51) ! w"qv"
2031	hom(:,1,52,sr) = sums(:,52) ! wqv
2032	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
2033	hom(:,1,54,sr) = sums(:,54) ! ql
2034	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
2035	hom(:,1,56,sr) = sums(:,56) ! wp/dz
2036	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
2037	hom(:,1,58,sr) = sums(:,58) ! u"pt"
2038	hom(:,1,59,sr) = sums(:,59) ! upt
2039	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
2040	hom(:,1,61,sr) = sums(:,61) ! v"pt"
2041	hom(:,1,62,sr) = sums(:,62) ! vpt
2042	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
2043	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
2044	hom(:,1,65,sr) = sums(:,65) ! w"sa"
2045	hom(:,1,66,sr) = sums(:,66) ! wsa
2046	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
2047	hom(:,1,68,sr) = sums(:,68) ! wp
2048	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
2049	hom(:,1,70,sr) = sums(:,70) ! q*2
2050	hom(:,1,71,sr) = sums(:,71) ! prho
2051	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
2052	hom(:,1,123,sr) = sums(:,123) ! nc
2053	hom(:,1,124,sr) = sums(:,124) ! ni
2054	hom(:,1,125,sr) = sums(:,125) ! qi
2055	hom(:,1,73,sr) = sums(:,73) ! nr
2056	hom(:,1,74,sr) = sums(:,74) ! qr
2057	hom(:,1,75,sr) = sums(:,75) ! qc
2058	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
2059	! 77 is initial density profile
2060	hom(:,1,78,sr) = ug ! ug
2061	hom(:,1,79,sr) = vg ! vg
2062	hom(:,1,80,sr) = w_subs ! w_subs
2063
2064	IF ( large_scale_forcing ) THEN
2065	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
2066	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
2067	IF ( use_subsidence_tendencies ) THEN
2068	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
2069	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
2070	ELSE
2071	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
2072	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
2073	ENDIF
2074	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
2075	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
2076	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
2077	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
2078	ENDIF
2079
2080	IF ( land_surface ) THEN
2081	hom(:,1,89,sr) = sums(:,89) ! t_soil
2082	! 90 is initial t_soil profile
2083	hom(:,1,91,sr) = sums(:,91) ! m_soil
2084	! 92 is initial m_soil profile
2085	hom(:,1,93,sr) = sums(:,93) ! ghf
2086	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
2087	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
2088	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
2089	hom(:,1,97,sr) = sums(:,97) ! r_a
2090	hom(:,1,98,sr) = sums(:,98) ! r_s
2091
2092	ENDIF
2093
2094	IF ( radiation ) THEN
2095	hom(:,1,99,sr) = sums(:,99) ! rad_net
2096	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
2097	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
2098	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
2099	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
2100
2101	IF ( radiation_scheme == 'rrtmg' ) THEN
2102	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
2103	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
2104	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
2105	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
2106
2107	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
2108	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
2109	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
2110	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
2111	ENDIF
2112	ENDIF
2113
2114	hom(:,1,112,sr) = sums(:,112) !: L
2115
2116	IF ( passive_scalar ) THEN
2117	hom(:,1,117,sr) = sums(:,117) ! w"s"
2118	hom(:,1,114,sr) = sums(:,114) ! ws
2119	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
2120	hom(:,1,116,sr) = sums(:,116) ! s*2
2121	ENDIF
2122
2123	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
2124	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
2125
2126	IF ( kolmogorov_length_scale ) THEN
2127	hom(:,1,121,sr) = sums(:,121) * 1E3_wp ! eta in mm
2128	ENDIF
2129
2130
2131	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
2132	! u, w'u', w'v', t (in last profile)
2133
2134	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
2135	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
2136	sums(:,pr_palm+1:pr_palm+max_pr_user)
2137	ENDIF
2138
2139	IF ( air_chemistry ) THEN
2140	IF ( max_pr_cs > 0 ) THEN ! chem_spcs profiles
2141	hom(:, 1, pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs, sr) = &
2142	sums(:, pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs)
2143	ENDIF
2144	ENDIF
2145
2146	IF ( salsa ) THEN
2147	IF ( max_pr_salsa > 0 ) THEN ! salsa profiles
2148	hom(:,1,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa, sr) = &
2149	sums(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa)
2150	ENDIF
2151	ENDIF
2152	!
2153	!-- Determine the boundary layer height using two different schemes.
2154	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
2155	!-- first relative minimum (maximum) of the total heat flux.
2156	!-- The corresponding height is assumed as the boundary layer height, if it
2157	!-- is less than 1.5 times the height where the heat flux becomes negative
2158	!-- (positive) for the first time. Attention: the resolved vertical sensible
2159	!-- heat flux (hom(:,1,17,sr) = wpt) is not known at the beginning because
2160	!-- the calculation happens in advec_s_ws which is called after
2161	!-- flow_statistics. Therefore z_i is directly taken from restart data at
2162	!-- the beginning of restart runs.
2163	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .OR. &
2164	simulated_time_at_begin /= simulated_time ) THEN
2165
2166	z_i(1) = 0.0_wp
2167	first = .TRUE.
2168
2169	IF ( ocean_mode ) THEN
2170	DO k = nzt, nzb+1, -1
2171	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2172	first = .FALSE.
2173	height = zw(k)
2174	ENDIF
2175	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2176	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2177	IF ( zw(k) < 1.5_wp * height ) THEN
2178	z_i(1) = zw(k)
2179	ELSE
2180	z_i(1) = height
2181	ENDIF
2182	EXIT
2183	ENDIF
2184	ENDDO
2185	ELSE
2186	DO k = nzb, nzt-1
2187	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2188	first = .FALSE.
2189	height = zw(k)
2190	ENDIF
2191	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2192	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2193	IF ( zw(k) < 1.5_wp * height ) THEN
2194	z_i(1) = zw(k)
2195	ELSE
2196	z_i(1) = height
2197	ENDIF
2198	EXIT
2199	ENDIF
2200	ENDDO
2201	ENDIF
2202
2203	!
2204	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
2205	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
2206	!-- maximal local temperature gradient: starting from the second (the
2207	!-- last but one) vertical gridpoint, the local gradient must be at least
2208	!-- 0.2K/100m and greater than the next four gradients.
2209	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2210	!-- ocean case!
2211	z_i(2) = 0.0_wp
2212	DO k = nzb+1, nzt+1
2213	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2214	ENDDO
2215	dptdz_threshold = 0.2_wp / 100.0_wp
2216
2217	IF ( ocean_mode ) THEN
2218	DO k = nzt+1, nzb+5, -1
2219	IF ( dptdz(k) > dptdz_threshold .AND. &
2220	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND.&
2221	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2222	z_i(2) = zw(k-1)
2223	EXIT
2224	ENDIF
2225	ENDDO
2226	ELSE
2227	DO k = nzb+1, nzt-3
2228	IF ( dptdz(k) > dptdz_threshold .AND. &
2229	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND.&
2230	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2231	z_i(2) = zw(k-1)
2232	EXIT
2233	ENDIF
2234	ENDDO
2235	ENDIF
2236
2237	ENDIF
2238
2239	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2240	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2241
2242	!
2243	!-- Determine vertical index which is nearest to the mean surface level
2244	!-- height of the respective statistic region
2245	DO k = nzb, nzt
2246	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
2247	k_surface_level = k
2248	EXIT
2249	ENDIF
2250	ENDDO
2251
2252	!
2253	!-- Computation of both the characteristic vertical velocity and
2254	!-- the characteristic convective boundary layer temperature.
2255	!-- The inversion height entering into the equation is defined with respect
2256	!-- to the mean surface level height of the respective statistic region.
2257	!-- The horizontal average at surface level index + 1 is input for the
2258	!-- average temperature.
2259	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp )&
2260	THEN
2261	hom(nzb+8,1,pr_palm,sr) = &
2262	( g / hom(k_surface_level+1,1,4,sr) * &
2263	( hom(k_surface_level,1,18,sr) / &
2264	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
2265	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
2266	ELSE
2267	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
2268	ENDIF
2269
2270	!
2271	!-- Collect the time series quantities. Please note, timeseries quantities
2272	!-- which are collected from horizontally averaged profiles, e.g. wpt
2273	!-- or pt(zp), are treated specially. In case of elevated model surfaces,
2274	!-- index nzb+1 might be within topography and data will be zero. Therefore,
2275	!-- take value for the first atmosphere index, which is topo_min_level+1.
2276	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2277	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2278	ts_value(3,sr) = dt_3d
2279	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2280	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2281	ts_value(6,sr) = u_max
2282	ts_value(7,sr) = v_max
2283	ts_value(8,sr) = w_max
2284	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2285	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2286	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2287	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2288	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2289	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2290	ts_value(15,sr) = hom(topo_min_level+1,1,16,sr) ! w'pt' at k=1
2291	ts_value(16,sr) = hom(topo_min_level+1,1,18,sr) ! wpt at k=1
2292	ts_value(17,sr) = hom(nzb+14,1,pr_palm,sr) ! pt(0)
2293	ts_value(18,sr) = hom(topo_min_level+1,1,4,sr) ! pt(zp)
2294	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2295	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2296	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2297
2298	IF ( .NOT. neutral ) THEN
2299	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
2300	ELSE
2301	ts_value(22,sr) = 1.0E10_wp
2302	ENDIF
2303
2304	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2305
2306	IF ( passive_scalar ) THEN
2307	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
2308	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
2309	ENDIF
2310
2311	!
2312	!-- Collect land surface model timeseries
2313	IF ( land_surface ) THEN
2314	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2315	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2316	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2317	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2318	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2319	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2320	ENDIF
2321	!
2322	!-- Collect radiation model timeseries
2323	IF ( radiation ) THEN
2324	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2325	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2326	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2327	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2328	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2329
2330	IF ( radiation_scheme == 'rrtmg' ) THEN
2331	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2332	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2333	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2334	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2335	ENDIF
2336
2337	ENDIF
2338
2339	!
2340	!-- Calculate additional statistics provided by other modules
2341	CALL module_interface_statistics( 'time_series', sr, 0, dots_max )
2342
2343	ENDDO ! loop of the subregions
2344
2345	!
2346	!-- If required, sum up horizontal averages for subsequent time averaging.
2347	!-- Do not sum, if flow statistics is called before the first initial time step.
2348	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2349	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2350	hom_sum = hom_sum + hom(:,1,:,:)
2351	average_count_pr = average_count_pr + 1
2352	do_sum = .FALSE.
2353	ENDIF
2354
2355	!
2356	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2357	!-- This flag is reset after each time step in time_integration.
2358	flow_statistics_called = .TRUE.
2359
2360	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2361
2362
2363	END SUBROUTINE flow_statistics

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