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source: palm/trunk/SOURCE/flow_statistics.f90 @ 4473

Last change on this file since 4473 was 4472, checked in by Giersch, 5 years ago
Profile output of the Kolmogorov length scale added
Property svn:keywords set to `Id`
File size: 113.6 KB

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1	!> @file flow_statistics.f90
2	!------------------------------------------------------------------------------!
3	! This file is part of the PALM model system.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the
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 4472 2020-03-24 12:21:00Z gronemeier $
27	! Calculations of the Kolmogorov lengt scale eta implemented
28	!
29	! 4464 2020-03-17 11:08:46Z Giersch
30	! Reset last change (r4463)
31	!
32	! 4463 2020-03-17 09:27:36Z Giersch
33	! Calculate horizontally averaged profiles of all velocity components at the
34	! same place
35	!
36	! 4444 2020-03-05 15:59:50Z raasch
37	! bugfix: cpp-directives for serial mode added
38	!
39	! 4442 2020-03-04 19:21:13Z suehring
40	! Change order of dimension in surface array %frac to allow for better
41	! vectorization.
42	!
43	! 4441 2020-03-04 19:20:35Z suehring
44	! Introduction of wall_flags_total_0, which currently sets bits based on static
45	! topography information used in wall_flags_static_0
46	!
47	! 4329 2019-12-10 15:46:36Z motisi
48	! Renamed wall_flags_0 to wall_flags_static_0
49	!
50	! 4182 2019-08-22 15:20:23Z scharf
51	! Corrected "Former revisions" section
52	!
53	! 4131 2019-08-02 11:06:18Z monakurppa
54	! Allow profile output for salsa variables.
55	!
56	! 4039 2019-06-18 10:32:41Z suehring
57	! Correct conversion to kinematic scalar fluxes in case of pw-scheme and
58	! statistic regions
59	!
60	! 3828 2019-03-27 19:36:23Z raasch
61	! unused variables removed
62	!
63	! 3676 2019-01-16 15:07:05Z knoop
64	! Bugfix, terminate OMP Parallel block
65	!
66	! Revision 1.1 1997/08/11 06:15:17 raasch
67	! Initial revision
68	!
69	!
70	! Description:
71	! ------------
72	!> Compute average profiles and further average flow quantities for the different
73	!> user-defined (sub-)regions. The region indexed 0 is the total model domain.
74	!>
75	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
76	!> lower vertical index for k-loops for all variables, although strictly
77	!> speaking the k-loops would have to be split up according to the staggered
78	!> grid. However, this implies no error since staggered velocity components
79	!> are zero at the walls and inside buildings.
80	!------------------------------------------------------------------------------!
81	SUBROUTINE flow_statistics
82
83
84	USE arrays_3d, &
85	ONLY: ddzu, ddzw, e, heatflux_output_conversion, hyp, km, kh, &
86	momentumflux_output_conversion, nc, nr, p, prho, prr, pt, q, &
87	qc, ql, qr, rho_air, rho_air_zw, rho_ocean, s, &
88	sa, u, ug, v, vg, vpt, w, w_subs, waterflux_output_conversion, &
89	zw, d_exner
90
91	USE basic_constants_and_equations_mod, &
92	ONLY: g, lv_d_cp
93
94	USE bulk_cloud_model_mod, &
95	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
96
97	USE chem_modules, &
98	ONLY: max_pr_cs
99
100	USE control_parameters, &
101	ONLY: air_chemistry, average_count_pr, cloud_droplets, do_sum, &
102	dt_3d, humidity, initializing_actions, kolmogorov_length_scale,&
103	land_surface, large_scale_forcing, large_scale_subsidence, &
104	max_pr_user, message_string, neutral, ocean_mode, &
105	passive_scalar, simulated_time, simulated_time_at_begin, &
106	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
107	ws_scheme_mom, ws_scheme_sca, salsa, max_pr_salsa
108
109	USE cpulog, &
110	ONLY: cpu_log, log_point
111
112	USE grid_variables, &
113	ONLY: ddx, ddy
114
115	USE indices, &
116	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, nxl, nxr, nyn, &
117	nys, nzb, nzt, topo_min_level, wall_flags_total_0
118
119	#if defined( __parallel )
120	USE indices, &
121	ONLY: ngp_sums, ngp_sums_ls
122	#endif
123
124	USE kinds
125
126	USE land_surface_model_mod, &
127	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
128
129	USE lsf_nudging_mod, &
130	ONLY: td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert
131
132	USE module_interface, &
133	ONLY: module_interface_statistics
134
135	USE netcdf_interface, &
136	ONLY: dots_rad, dots_soil, dots_max
137
138	USE pegrid
139
140	USE radiation_model_mod, &
141	ONLY: radiation, radiation_scheme, &
142	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
143	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
144
145	USE statistics
146
147	USE surface_mod, &
148	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
149
150
151	IMPLICIT NONE
152
153	INTEGER(iwp) :: i !<
154	INTEGER(iwp) :: j !<
155	INTEGER(iwp) :: k !<
156	INTEGER(iwp) :: ki !<
157	INTEGER(iwp) :: k_surface_level !<
158	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
159	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
160	INTEGER(iwp) :: nt !<
161	!$ INTEGER(iwp) :: omp_get_thread_num !<
162	INTEGER(iwp) :: sr !<
163	INTEGER(iwp) :: tn !<
164
165	LOGICAL :: first !<
166
167	REAL(wp) :: dissipation !< dissipation rate
168	REAL(wp) :: dptdz_threshold !<
169	REAL(wp) :: du_dx !< Derivative of u fluctuations with respect to x
170	REAL(wp) :: du_dy !< Derivative of u fluctuations with respect to y
171	REAL(wp) :: du_dz !< Derivative of u fluctuations with respect to z
172	REAL(wp) :: dv_dx !< Derivative of v fluctuations with respect to x
173	REAL(wp) :: dv_dy !< Derivative of v fluctuations with respect to y
174	REAL(wp) :: dv_dz !< Derivative of v fluctuations with respect to z
175	REAL(wp) :: dw_dx !< Derivative of w fluctuations with respect to x
176	REAL(wp) :: dw_dy !< Derivative of w fluctuations with respect to y
177	REAL(wp) :: dw_dz !< Derivative of w fluctuations with respect to z
178	REAL(wp) :: eta !< Kolmogorov length scale
179	REAL(wp) :: fac !<
180	REAL(wp) :: flag !<
181	REAL(wp) :: height !<
182	REAL(wp) :: pts !<
183	REAL(wp) :: s11 !< fluctuating rate-of-strain tensor component 11
184	REAL(wp) :: s21 !< fluctuating rate-of-strain tensor component 21
185	REAL(wp) :: s31 !< fluctuating rate-of-strain tensor component 31
186	REAL(wp) :: s12 !< fluctuating rate-of-strain tensor component 12
187	REAL(wp) :: s22 !< fluctuating rate-of-strain tensor component 22
188	REAL(wp) :: s32 !< fluctuating rate-of-strain tensor component 32
189	REAL(wp) :: s13 !< fluctuating rate-of-strain tensor component 13
190	REAL(wp) :: s23 !< fluctuating rate-of-strain tensor component 23
191	REAL(wp) :: s33 !< fluctuating rate-of-strain tensor component 33
192	REAL(wp) :: sums_l_etot !<
193	REAL(wp) :: ust !<
194	REAL(wp) :: ust2 !<
195	REAL(wp) :: u2 !<
196	REAL(wp) :: vst !<
197	REAL(wp) :: vst2 !<
198	REAL(wp) :: v2 !<
199	REAL(wp) :: w2 !<
200
201	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
202	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
203
204	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
205
206
207	!
208	!-- To be on the safe side, check whether flow_statistics has already been
209	!-- called once after the current time step
210	IF ( flow_statistics_called ) THEN
211
212	message_string = 'flow_statistics is called two times within one ' // &
213	'timestep'
214	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
215
216	ENDIF
217
218	!
219	!-- Compute statistics for each (sub-)region
220	DO sr = 0, statistic_regions
221
222	!
223	!-- Initialize (local) summation array
224	sums_l = 0.0_wp
225	#ifdef _OPENACC
226	!$ACC KERNELS PRESENT(sums_l)
227	sums_l = 0.0_wp
228	!$ACC END KERNELS
229	#endif
230
231	!
232	!-- Store sums that have been computed in other subroutines in summation
233	!-- array
234	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
235	!-- WARNING: next line still has to be adjusted for OpenMP
236	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
237	heatflux_output_conversion ! heat flux from advec_s_bc
238	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
239	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
240
241	!
242	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
243	!-- scale) vertical fluxes and velocity variances by using commonly-
244	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
245	!-- in combination with the 5th order advection scheme, pronounced
246	!-- artificial kinks could be observed in the vertical profiles near the
247	!-- surface. Please note: these kinks were not related to the model truth,
248	!-- i.e. these kinks are just related to an evaluation problem.
249	!-- In order avoid these kinks, vertical fluxes and horizontal as well
250	!-- vertical velocity variances are calculated directly within the advection
251	!-- routines, according to the numerical discretization, to evaluate the
252	!-- statistical quantities as they will appear within the prognostic
253	!-- equations.
254	!-- Copy the turbulent quantities, evaluated in the advection routines to
255	!-- the local array sums_l() for further computations.
256	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
257
258	!
259	!-- According to the Neumann bc for the horizontal velocity components,
260	!-- the corresponding fluxes has to satisfiy the same bc.
261	IF ( ocean_mode ) THEN
262	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
263	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
264	ENDIF
265
266	DO i = 0, threads_per_task-1
267	!
268	!-- Swap the turbulent quantities evaluated in advec_ws.
269	sums_l(:,13,i) = sums_wsus_ws_l(:,i) &
270	* momentumflux_output_conversion ! wu
271	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) &
272	* momentumflux_output_conversion ! wv
273	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
274	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
275	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
276	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
277	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
278	sums_ws2_ws_l(:,i) ) ! e*
279	ENDDO
280
281	ENDIF
282
283	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
284
285	DO i = 0, threads_per_task-1
286	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
287	* heatflux_output_conversion ! wpt
288	IF ( ocean_mode ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
289	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
290	* waterflux_output_conversion ! wq
291	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
292	ENDDO
293
294	ENDIF
295	!
296	!-- Horizontally averaged profiles of horizontal velocities and temperature.
297	!-- They must have been computed before, because they are already required
298	!-- for other horizontal averages.
299	tn = 0
300	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
301	!$ tn = omp_get_thread_num()
302	!$OMP DO
303	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag) &
304	!$ACC PRESENT(wall_flags_total_0, u, v, pt, rmask, sums_l)
305	DO i = nxl, nxr
306	DO j = nys, nyn
307	DO k = nzb, nzt+1
308	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
309	!$ACC ATOMIC
310	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) &
311	* flag
312	!$ACC ATOMIC
313	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) &
314	* flag
315	!$ACC ATOMIC
316	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) &
317	* flag
318	ENDDO
319	ENDDO
320	ENDDO
321	!$ACC UPDATE HOST(sums_l(:,1,tn), sums_l(:,2,tn), sums_l(:,4,tn))
322
323	!
324	!-- Horizontally averaged profile of salinity
325	IF ( ocean_mode ) THEN
326	!$OMP DO
327	DO i = nxl, nxr
328	DO j = nys, nyn
329	DO k = nzb, nzt+1
330	sums_l(k,23,tn) = sums_l(k,23,tn) + sa(k,j,i) &
331	* rmask(j,i,sr) &
332	* MERGE( 1.0_wp, 0.0_wp, &
333	BTEST( wall_flags_total_0(k,j,i), 22 ) )
334	ENDDO
335	ENDDO
336	ENDDO
337	ENDIF
338
339	!
340	!-- Horizontally averaged profiles of virtual potential temperature,
341	!-- total water content, water vapor mixing ratio and liquid water potential
342	!-- temperature
343	IF ( humidity ) THEN
344	!$OMP DO
345	DO i = nxl, nxr
346	DO j = nys, nyn
347	DO k = nzb, nzt+1
348	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
349	sums_l(k,44,tn) = sums_l(k,44,tn) + &
350	vpt(k,j,i) * rmask(j,i,sr) * flag
351	sums_l(k,41,tn) = sums_l(k,41,tn) + &
352	q(k,j,i) * rmask(j,i,sr) * flag
353	ENDDO
354	ENDDO
355	ENDDO
356	IF ( bulk_cloud_model ) THEN
357	!$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,42,tn) = sums_l(k,42,tn) + &
363	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) &
364	* flag
365	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
366	pt(k,j,i) + lv_d_cp * d_exner(k) * ql(k,j,i) &
367	) * rmask(j,i,sr) &
368	* flag
369	ENDDO
370	ENDDO
371	ENDDO
372	ENDIF
373	ENDIF
374
375	!
376	!-- Horizontally averaged profiles of passive scalar
377	IF ( passive_scalar ) THEN
378	!$OMP DO
379	DO i = nxl, nxr
380	DO j = nys, nyn
381	DO k = nzb, nzt+1
382	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
383	* rmask(j,i,sr) &
384	* MERGE( 1.0_wp, 0.0_wp, &
385	BTEST( wall_flags_total_0(k,j,i), 22 ) )
386	ENDDO
387	ENDDO
388	ENDDO
389	ENDIF
390	!$OMP END PARALLEL
391	!
392	!-- Summation of thread sums
393	IF ( threads_per_task > 1 ) THEN
394	DO i = 1, threads_per_task-1
395	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
396	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
397	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
398	IF ( ocean_mode ) THEN
399	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
400	ENDIF
401	IF ( humidity ) THEN
402	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
403	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
404	IF ( bulk_cloud_model ) THEN
405	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
406	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
407	ENDIF
408	ENDIF
409	IF ( passive_scalar ) THEN
410	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
411	ENDIF
412	ENDDO
413	ENDIF
414
415	#if defined( __parallel )
416	!
417	!-- Compute total sum from local sums
418	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
419	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
420	MPI_SUM, comm2d, ierr )
421	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
422	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
423	MPI_SUM, comm2d, ierr )
424	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
425	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
426	MPI_SUM, comm2d, ierr )
427	IF ( ocean_mode ) THEN
428	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
429	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
430	MPI_REAL, MPI_SUM, comm2d, ierr )
431	ENDIF
432	IF ( humidity ) THEN
433	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
434	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
435	MPI_REAL, MPI_SUM, comm2d, ierr )
436	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
437	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
438	MPI_REAL, MPI_SUM, comm2d, ierr )
439	IF ( bulk_cloud_model ) THEN
440	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
441	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
442	MPI_REAL, MPI_SUM, comm2d, ierr )
443	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
444	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
445	MPI_REAL, MPI_SUM, comm2d, ierr )
446	ENDIF
447	ENDIF
448
449	IF ( passive_scalar ) THEN
450	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
451	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, &
452	MPI_REAL, MPI_SUM, comm2d, ierr )
453	ENDIF
454	#else
455	sums(:,1) = sums_l(:,1,0)
456	sums(:,2) = sums_l(:,2,0)
457	sums(:,4) = sums_l(:,4,0)
458	IF ( ocean_mode ) sums(:,23) = sums_l(:,23,0)
459	IF ( humidity ) THEN
460	sums(:,44) = sums_l(:,44,0)
461	sums(:,41) = sums_l(:,41,0)
462	IF ( bulk_cloud_model ) THEN
463	sums(:,42) = sums_l(:,42,0)
464	sums(:,43) = sums_l(:,43,0)
465	ENDIF
466	ENDIF
467	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
468	#endif
469
470	!
471	!-- Final values are obtained by division by the total number of grid points
472	!-- used for summation. After that store profiles.
473	sums(:,1) = sums(:,1) / ngp_2dh(sr)
474	sums(:,2) = sums(:,2) / ngp_2dh(sr)
475	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
476	hom(:,1,1,sr) = sums(:,1) ! u
477	hom(:,1,2,sr) = sums(:,2) ! v
478	hom(:,1,4,sr) = sums(:,4) ! pt
479	!$ACC UPDATE DEVICE(hom(:,1,1,sr), hom(:,1,2,sr), hom(:,1,4,sr))
480
481
482	!
483	!-- Salinity
484	IF ( ocean_mode ) THEN
485	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
486	hom(:,1,23,sr) = sums(:,23) ! sa
487	ENDIF
488
489	!
490	!-- Humidity and cloud parameters
491	IF ( humidity ) THEN
492	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
493	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
494	hom(:,1,44,sr) = sums(:,44) ! vpt
495	hom(:,1,41,sr) = sums(:,41) ! qv (q)
496	IF ( bulk_cloud_model ) THEN
497	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
498	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
499	hom(:,1,42,sr) = sums(:,42) ! qv
500	hom(:,1,43,sr) = sums(:,43) ! pt
501	ENDIF
502	ENDIF
503
504	!
505	!-- Passive scalar
506	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / &
507	ngp_2dh_s_inner(:,sr) ! s
508
509	!
510	!-- Horizontally averaged profiles of the remaining prognostic variables,
511	!-- variances, the total and the perturbation energy (single values in last
512	!-- column of sums_l) and some diagnostic quantities.
513	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
514	!-- ---- speaking the following k-loop would have to be split up and
515	!-- rearranged according to the staggered grid.
516	!-- However, this implies no error since staggered velocity components
517	!-- are zero at the walls and inside buildings.
518	tn = 0
519	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, &
520	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
521	!$OMP w2, flag, m, ki, l )
522	!$ tn = omp_get_thread_num()
523	!$OMP DO
524	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, m) &
525	!$ACC PRIVATE(sums_l_etot, flag, du_dx, du_dy, du_dz) &
526	!$ACC PRIVATE(dv_dx, dv_dy, dv_dz, dw_dx, dw_dy, dw_dz) &
527	!$ACC PRIVATE(s11, s21, s31, s12, s22, s32, s13, s23, s33) &
528	!$ACC PRIVATE(dissipation, eta) &
529	!$ACC PRESENT(wall_flags_total_0, rmask, momentumflux_output_conversion) &
530	!$ACC PRESENT(hom(:,1,1:2,sr), hom(:,1,4,sr)) &
531	!$ACC PRESENT(e, u, v, w, km, kh, p, pt) &
532	!$ACC PRESENT(ddx, ddy, ddzu, ddzw) &
533	!$ACC PRESENT(surf_def_h(0), surf_lsm_h, surf_usm_h) &
534	!$ACC PRESENT(sums_l)
535	DO i = nxl, nxr
536	DO j = nys, nyn
537	sums_l_etot = 0.0_wp
538	DO k = nzb, nzt+1
539	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
540	!
541	!-- Prognostic and diagnostic variables
542	!$ACC ATOMIC
543	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) &
544	* flag
545	!$ACC ATOMIC
546	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) &
547	* flag
548	!$ACC ATOMIC
549	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) &
550	* flag
551	!$ACC ATOMIC
552	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) &
553	* flag
554	!$ACC ATOMIC
555	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
556	/ momentumflux_output_conversion(k) ) &
557	* flag
558
559	!$ACC ATOMIC
560	sums_l(k,33,tn) = sums_l(k,33,tn) + &
561	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)&
562	* 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)&
567	* flag
568	ENDIF
569	IF ( passive_scalar ) THEN
570	sums_l(k,116,tn) = sums_l(k,116,tn) + &
571	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr)&
572	* flag
573	ENDIF
574	#endif
575	!
576	!-- Higher moments
577	!-- (Computation of the skewness of w further below)
578	!$ACC ATOMIC
579	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) &
580	* flag
581
582	sums_l_etot = sums_l_etot + &
583	0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + &
584	w(k,j,i)*2 ) rmask(j,i,sr)&
585	* flag
586
587	!
588	!-- Computation of the Kolmogorov length scale. Calculation is based
589	!-- on gradients of the deviations from the horizontal mean.
590	!-- Kolmogorov scale at the boundaries (k=0/z=0m and k=nzt+1) is set to zero.
591	IF ( kolmogorov_length_scale .AND. k /= nzb .AND. k /= nzt+1) THEN
592	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
593
594	!
595	!-- Calculate components of the fluctuating rate-of-strain tensor
596	!-- (0.5*(del u'_i/del x_j + del u'_j/del x_i)) defined in the
597	!-- center of each grid box.
598	du_dx = ( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
599	( u(k,j,i) - hom(k,1,1,sr) ) ) * ddx
600	du_dy = 0.25_wp * ddy * &
601	( ( u(k,j+1,i) - hom(k,1,1,sr) ) - &
602	( u(k,j-1,i) - hom(k,1,1,sr) ) + &
603	( u(k,j+1,i+1) - hom(k,1,1,sr) ) - &
604	( u(k,j-1,i+1) - hom(k,1,1,sr) ) )
605	du_dz = 0.25_wp * ( ( ( u(k+1,j,i) - hom(k+1,1,1,sr) ) - &
606	( u(k,j,i) - hom(k,1,1,sr) ) ) * &
607	ddzu(k+1) + &
608	( ( u(k,j,i) - hom(k,1,1,sr) ) - &
609	( u(k-1,j,i) - hom(k-1,1,1,sr) ) )* &
610	ddzu(k) + &
611	( ( u(k+1,j,i+1) - hom(k+1,1,1,sr) )- &
612	( u(k,j,i+1) - hom(k,1,1,sr) ) ) * &
613	ddzu(k+1) + &
614	( ( u(k,j,i+1) - hom(k,1,1,sr) ) - &
615	( u(k-1,j,i+1) - hom(k-1,1,1,sr) ) ) *&
616	ddzu(k) )
617
618	dv_dx = 0.25_wp * ddx * &
619	( ( v(k,j,i+1) - hom(k,1,2,sr) ) - &
620	( v(k,j,i-1) - hom(k,1,2,sr) ) + &
621	( v(k,j+1,i+1) - hom(k,1,2,sr) ) - &
622	( v(k,j+1,i-1) - hom(k,1,2,sr) ) )
623	dv_dy = ( ( v(k,j+1,i) - hom(k,1,2,sr) ) - &
624	( v(k,j,i) - hom(k,1,2,sr) ) ) * ddy
625	dv_dz = 0.25_wp * ( ( ( v(k+1,j,i) - hom(k+1,1,2,sr) ) - &
626	( v(k,j,i) - hom(k,1,2,sr) ) ) * &
627	ddzu(k+1) + &
628	( ( v(k,j,i) - hom(k,1,2,sr) ) - &
629	( v(k-1,j,i) - hom(k-1,1,2,sr) ) ) * &
630	ddzu(k) + &
631	( ( v(k+1,j+1,i) - hom(k+1,1,2,sr) ) - &
632	( v(k,j+1,i) - hom(k,1,2,sr) ) ) * &
633	ddzu(k+1) + &
634	( ( v(k,j+1,i) - hom(k,1,2,sr) ) - &
635	( v(k-1,j+1,i) - hom(k-1,1,2,sr) ) ) *&
636	ddzu(k) )
637
638	dw_dx = 0.25_wp * ddx * ( w(k,j,i+1) - w(k,j,i-1) + &
639	w(k-1,j,i+1) - w(k-1,j,i-1) )
640	dw_dy = 0.25_wp * ddy * ( w(k,j+1,i) - w(k,j-1,i) + &
641	w(k-1,j+1,i) - w(k-1,j-1,i) )
642	dw_dz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k)
643
644	s11 = 0.5_wp * ( du_dx + du_dx )
645	s21 = 0.5_wp * ( dv_dx + du_dy )
646	s31 = 0.5_wp * ( dw_dx + du_dz )
647
648	s12 = s21
649	s22 = 0.5 * ( dv_dy + dv_dy )
650	s32 = 0.5 * ( dw_dy + dv_dz )
651
652	s13 = s31
653	s23 = s32
654	s33 = 0.5_wp * ( dw_dz + dw_dz )
655
656	!-- Calculate 3D instantaneous energy dissipation rate after
657	!-- Pope (2000): Turbulent flows, p.259. It is defined in the center
658	!-- of each grid volume.
659	dissipation = 2.0_wp * km(k,j,i) * &
660	( s11s11 + s21s21 + s31*s31 + &
661	s12s12 + s22s22 + s32*s32 + &
662	s13s13 + s23s23 + s33*s33 )
663	eta = ( km(k,j,i)3.0_wp / ( dissipation+1.0E-12 ) )(1.0_wp/4.0_wp)
664
665	!$ACC ATOMIC
666	sums_l(k,121,tn) = sums_l(k,121,tn) + eta * rmask(j,i,sr) &
667	* flag
668
669
670	ENDIF !Kolmogorov length scale
671
672	ENDDO !k-loop
673	!
674	!-- Total and perturbation energy for the total domain (being
675	!-- collected in the last column of sums_l). Summation of these
676	!-- quantities is seperated from the previous loop in order to
677	!-- allow vectorization of that loop.
678	!$ACC ATOMIC
679	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
680	!
681	!-- 2D-arrays (being collected in the last column of sums_l)
682	IF ( surf_def_h(0)%end_index(j,i) >= &
683	surf_def_h(0)%start_index(j,i) ) THEN
684	m = surf_def_h(0)%start_index(j,i)
685	!$ACC ATOMIC
686	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
687	surf_def_h(0)%us(m) * rmask(j,i,sr)
688	!$ACC ATOMIC
689	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
690	surf_def_h(0)%usws(m) * rmask(j,i,sr)
691	!$ACC ATOMIC
692	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
693	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
694	!$ACC ATOMIC
695	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
696	surf_def_h(0)%ts(m) * rmask(j,i,sr)
697	#ifndef _OPENACC
698	IF ( humidity ) THEN
699	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
700	surf_def_h(0)%qs(m) * rmask(j,i,sr)
701	ENDIF
702	IF ( passive_scalar ) THEN
703	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
704	surf_def_h(0)%ss(m) * rmask(j,i,sr)
705	ENDIF
706	#endif
707	!
708	!-- Summation of surface temperature.
709	!$ACC ATOMIC
710	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
711	surf_def_h(0)%pt_surface(m) * &
712	rmask(j,i,sr)
713	ENDIF
714	IF ( surf_lsm_h%end_index(j,i) >= surf_lsm_h%start_index(j,i) ) THEN
715	m = surf_lsm_h%start_index(j,i)
716	!$ACC ATOMIC
717	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
718	surf_lsm_h%us(m) * rmask(j,i,sr)
719	!$ACC ATOMIC
720	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
721	surf_lsm_h%usws(m) * rmask(j,i,sr)
722	!$ACC ATOMIC
723	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
724	surf_lsm_h%vsws(m) * rmask(j,i,sr)
725	!$ACC ATOMIC
726	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
727	surf_lsm_h%ts(m) * rmask(j,i,sr)
728	#ifndef _OPENACC
729	IF ( humidity ) THEN
730	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
731	surf_lsm_h%qs(m) * rmask(j,i,sr)
732	ENDIF
733	IF ( passive_scalar ) THEN
734	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
735	surf_lsm_h%ss(m) * rmask(j,i,sr)
736	ENDIF
737	#endif
738	!
739	!-- Summation of surface temperature.
740	!$ACC ATOMIC
741	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
742	surf_lsm_h%pt_surface(m) * &
743	rmask(j,i,sr)
744	ENDIF
745	IF ( surf_usm_h%end_index(j,i) >= surf_usm_h%start_index(j,i) ) THEN
746	m = surf_usm_h%start_index(j,i)
747	!$ACC ATOMIC
748	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
749	surf_usm_h%us(m) * rmask(j,i,sr)
750	!$ACC ATOMIC
751	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
752	surf_usm_h%usws(m) * rmask(j,i,sr)
753	!$ACC ATOMIC
754	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
755	surf_usm_h%vsws(m) * rmask(j,i,sr)
756	!$ACC ATOMIC
757	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
758	surf_usm_h%ts(m) * rmask(j,i,sr)
759	#ifndef _OPENACC
760	IF ( humidity ) THEN
761	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
762	surf_usm_h%qs(m) * rmask(j,i,sr)
763	ENDIF
764	IF ( passive_scalar ) THEN
765	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
766	surf_usm_h%ss(m) * rmask(j,i,sr)
767	ENDIF
768	#endif
769	!
770	!-- Summation of surface temperature.
771	!$ACC ATOMIC
772	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
773	surf_usm_h%pt_surface(m) * &
774	rmask(j,i,sr)
775	ENDIF
776	ENDDO !j-loop
777	ENDDO !i-loop
778	!$ACC UPDATE &
779	!$ACC HOST(sums_l(:,3,tn), sums_l(:,8,tn), sums_l(:,9,tn)) &
780	!$ACC HOST(sums_l(:,10,tn), sums_l(:,40,tn), sums_l(:,33,tn)) &
781	!$ACC HOST(sums_l(:,38,tn), sums_l(:,121,tn)) &
782	!$ACC HOST(sums_l(nzb:nzb+4,pr_palm,tn), sums_l(nzb+14:nzb+14,pr_palm,tn))
783
784	!
785	!-- Computation of statistics when ws-scheme is not used. Else these
786	!-- quantities are evaluated in the advection routines.
787	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) &
788	THEN
789	!$OMP DO
790	DO i = nxl, nxr
791	DO j = nys, nyn
792	DO k = nzb, nzt+1
793	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
794
795	u2 = u(k,j,i)**2
796	v2 = v(k,j,i)**2
797	w2 = w(k,j,i)**2
798	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
799	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
800
801	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) &
802	* flag
803	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) &
804	* flag
805	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) &
806	* flag
807	!
808	!-- Perturbation energy
809
810	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5_wp * &
811	( ust2 + vst2 + w2 ) * rmask(j,i,sr) &
812	* flag
813	ENDDO
814	ENDDO
815	ENDDO
816	ENDIF
817	!
818	!-- Computaion of domain-averaged perturbation energy. Please note,
819	!-- to prevent that perturbation energy is larger (even if only slightly)
820	!-- than the total kinetic energy, calculation is based on deviations from
821	!-- the horizontal mean, instead of spatial descretization of the advection
822	!-- term.
823	!$OMP DO
824	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag, w2, ust2, vst2) &
825	!$ACC PRESENT(wall_flags_total_0, u, v, w, rmask, hom(:,1,1:2,sr)) &
826	!$ACC PRESENT(sums_l)
827	DO i = nxl, nxr
828	DO j = nys, nyn
829	DO k = nzb, nzt+1
830	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
831
832	w2 = w(k,j,i)**2
833	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
834	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
835	w2 = w(k,j,i)**2
836
837	!$ACC ATOMIC
838	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
839	+ 0.5_wp * ( ust2 + vst2 + w2 ) &
840	* rmask(j,i,sr) &
841	* flag
842
843	ENDDO
844	ENDDO
845	ENDDO
846	!$ACC UPDATE HOST(sums_l(nzb+5:nzb+5,pr_palm,tn))
847
848	!
849	!-- Horizontally averaged profiles of the vertical fluxes
850
851	!$OMP DO
852	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) &
853	!$ACC PRIVATE(ki, flag, ust, vst, pts) &
854	!$ACC PRESENT(kh, km, u, v, w, pt) &
855	!$ACC PRESENT(wall_flags_total_0, rmask, ddzu, rho_air_zw, hom(:,1,1:4,sr)) &
856	!$ACC PRESENT(heatflux_output_conversion, momentumflux_output_conversion) &
857	!$ACC PRESENT(surf_def_h(0:2), surf_lsm_h, surf_usm_h) &
858	!$ACC PRESENT(sums_l)
859	DO i = nxl, nxr
860	DO j = nys, nyn
861	!
862	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
863	!-- oterwise from k=nzb+1)
864	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
865	!-- ---- strictly speaking the following k-loop would have to be
866	!-- split up according to the staggered grid.
867	!-- However, this implies no error since staggered velocity
868	!-- components are zero at the walls and inside buildings.
869	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes,
870	!-- which are added further below.
871	DO k = nzb, nzt
872	flag = MERGE( 1.0_wp, 0.0_wp, &
873	BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
874	MERGE( 1.0_wp, 0.0_wp, &
875	BTEST( wall_flags_total_0(k,j,i), 9 ) )
876	!
877	!-- Momentum flux w"u"
878	!$ACC ATOMIC
879	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
880	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
881	) * ( &
882	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
883	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
884	) * rmask(j,i,sr) &
885	* rho_air_zw(k) &
886	* momentumflux_output_conversion(k) &
887	* flag
888	!
889	!-- Momentum flux w"v"
890	!$ACC ATOMIC
891	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
892	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
893	) * ( &
894	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
895	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
896	) * rmask(j,i,sr) &
897	* rho_air_zw(k) &
898	* momentumflux_output_conversion(k) &
899	* flag
900	!
901	!-- Heat flux w"pt"
902	!$ACC ATOMIC
903	sums_l(k,16,tn) = sums_l(k,16,tn) &
904	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
905	* ( pt(k+1,j,i) - pt(k,j,i) ) &
906	* rho_air_zw(k) &
907	* heatflux_output_conversion(k) &
908	* ddzu(k+1) * rmask(j,i,sr) &
909	* flag
910
911	!
912	!-- Salinity flux w"sa"
913	#ifndef _OPENACC
914	IF ( ocean_mode ) THEN
915	sums_l(k,65,tn) = sums_l(k,65,tn) &
916	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
917	* ( sa(k+1,j,i) - sa(k,j,i) ) &
918	* ddzu(k+1) * rmask(j,i,sr) &
919	* flag
920	ENDIF
921
922	!
923	!-- Buoyancy flux, water flux (humidity flux) w"q"
924	IF ( humidity ) THEN
925	sums_l(k,45,tn) = sums_l(k,45,tn) &
926	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
927	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
928	* rho_air_zw(k) &
929	* heatflux_output_conversion(k) &
930	* ddzu(k+1) * rmask(j,i,sr) * flag
931	sums_l(k,48,tn) = sums_l(k,48,tn) &
932	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
933	* ( q(k+1,j,i) - q(k,j,i) ) &
934	* rho_air_zw(k) &
935	* waterflux_output_conversion(k)&
936	* ddzu(k+1) * rmask(j,i,sr) * flag
937
938	IF ( bulk_cloud_model ) THEN
939	sums_l(k,51,tn) = sums_l(k,51,tn) &
940	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
941	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
942	- ( q(k,j,i) - ql(k,j,i) ) ) &
943	* rho_air_zw(k) &
944	* waterflux_output_conversion(k)&
945	* ddzu(k+1) * rmask(j,i,sr) * flag
946	ENDIF
947	ENDIF
948
949	!
950	!-- Passive scalar flux
951	IF ( passive_scalar ) THEN
952	sums_l(k,117,tn) = sums_l(k,117,tn) &
953	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
954	* ( s(k+1,j,i) - s(k,j,i) ) &
955	* ddzu(k+1) * rmask(j,i,sr) &
956	* flag
957	ENDIF
958	#endif
959
960	ENDDO
961
962	!
963	!-- Subgridscale fluxes in the Prandtl layer
964	IF ( use_surface_fluxes ) THEN
965	DO l = 0, 1
966	! The original code using MERGE doesn't work with the PGI
967	! compiler when running on the GPU.
968	! This is submitted as a compiler Bug in PGI ticket TPR#26718
969	! ki = MERGE( -1, 0, l == 0 )
970	ki = -1 + l
971	IF ( surf_def_h(l)%ns >= 1 ) THEN
972	DO m = surf_def_h(l)%start_index(j,i), &
973	surf_def_h(l)%end_index(j,i)
974	k = surf_def_h(l)%k(m)
975
976	!$ACC ATOMIC
977	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
978	momentumflux_output_conversion(k+ki) * &
979	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
980	!$ACC ATOMIC
981	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
982	momentumflux_output_conversion(k+ki) * &
983	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
984	!$ACC ATOMIC
985	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
986	heatflux_output_conversion(k+ki) * &
987	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
988	#if 0
989	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
990	0.0_wp * rmask(j,i,sr) ! u"pt"
991	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
992	0.0_wp * rmask(j,i,sr) ! v"pt"
993	#endif
994	#ifndef _OPENACC
995	IF ( ocean_mode ) THEN
996	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
997	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
998	ENDIF
999	IF ( humidity ) THEN
1000	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
1001	waterflux_output_conversion(k+ki) * &
1002	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1003	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
1004	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
1005	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
1006	surf_def_h(l)%qsws(m) ) &
1007	* heatflux_output_conversion(k+ki)
1008	IF ( cloud_droplets ) THEN
1009	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
1010	( 1.0_wp + 0.61_wp * q(k+ki,j,i) - &
1011	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
1012	0.61_wp * pt(k+ki,j,i) * surf_def_h(l)%qsws(m) ) &
1013	* heatflux_output_conversion(k+ki)
1014	ENDIF
1015	IF ( bulk_cloud_model ) THEN
1016	!
1017	!-- Formula does not work if ql(k+ki) /= 0.0
1018	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
1019	waterflux_output_conversion(k+ki) * &
1020	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1021	ENDIF
1022	ENDIF
1023	IF ( passive_scalar ) THEN
1024	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
1025	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1026	ENDIF
1027	#endif
1028
1029	ENDDO
1030
1031	ENDIF
1032	ENDDO
1033	IF ( surf_lsm_h%end_index(j,i) >= &
1034	surf_lsm_h%start_index(j,i) ) THEN
1035	m = surf_lsm_h%start_index(j,i)
1036	!$ACC ATOMIC
1037	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1038	momentumflux_output_conversion(nzb) * &
1039	surf_lsm_h%usws(m) * rmask(j,i,sr) ! w"u"
1040	!$ACC ATOMIC
1041	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1042	momentumflux_output_conversion(nzb) * &
1043	surf_lsm_h%vsws(m) * rmask(j,i,sr) ! w"v"
1044	!$ACC ATOMIC
1045	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1046	heatflux_output_conversion(nzb) * &
1047	surf_lsm_h%shf(m) * rmask(j,i,sr) ! w"pt"
1048	#if 0
1049	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1050	0.0_wp * rmask(j,i,sr) ! u"pt"
1051	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1052	0.0_wp * rmask(j,i,sr) ! v"pt"
1053	#endif
1054	#ifndef _OPENACC
1055	IF ( ocean_mode ) THEN
1056	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1057	surf_lsm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
1058	ENDIF
1059	IF ( humidity ) THEN
1060	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1061	waterflux_output_conversion(nzb) * &
1062	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1063	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1064	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1065	surf_lsm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1066	surf_lsm_h%qsws(m) ) &
1067	* heatflux_output_conversion(nzb)
1068	IF ( cloud_droplets ) THEN
1069	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1070	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1071	ql(nzb,j,i) ) * surf_lsm_h%shf(m) + &
1072	0.61_wp * pt(nzb,j,i) * surf_lsm_h%qsws(m) ) &
1073	* heatflux_output_conversion(nzb)
1074	ENDIF
1075	IF ( bulk_cloud_model ) THEN
1076	!
1077	!-- Formula does not work if ql(nzb) /= 0.0
1078	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1079	waterflux_output_conversion(nzb) * &
1080	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1081	ENDIF
1082	ENDIF
1083	IF ( passive_scalar ) THEN
1084	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1085	surf_lsm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1086	ENDIF
1087	#endif
1088
1089	ENDIF
1090	IF ( surf_usm_h%end_index(j,i) >= &
1091	surf_usm_h%start_index(j,i) ) THEN
1092	m = surf_usm_h%start_index(j,i)
1093	!$ACC ATOMIC
1094	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1095	momentumflux_output_conversion(nzb) * &
1096	surf_usm_h%usws(m) * rmask(j,i,sr) ! w"u"
1097	!$ACC ATOMIC
1098	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1099	momentumflux_output_conversion(nzb) * &
1100	surf_usm_h%vsws(m) * rmask(j,i,sr) ! w"v"
1101	!$ACC ATOMIC
1102	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1103	heatflux_output_conversion(nzb) * &
1104	surf_usm_h%shf(m) * rmask(j,i,sr) ! w"pt"
1105	#if 0
1106	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1107	0.0_wp * rmask(j,i,sr) ! u"pt"
1108	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1109	0.0_wp * rmask(j,i,sr) ! v"pt"
1110	#endif
1111	#ifndef _OPENACC
1112	IF ( ocean_mode ) THEN
1113	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1114	surf_usm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
1115	ENDIF
1116	IF ( humidity ) THEN
1117	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1118	waterflux_output_conversion(nzb) * &
1119	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1120	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1121	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1122	surf_usm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1123	surf_usm_h%qsws(m) ) &
1124	* heatflux_output_conversion(nzb)
1125	IF ( cloud_droplets ) THEN
1126	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1127	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1128	ql(nzb,j,i) ) * surf_usm_h%shf(m) + &
1129	0.61_wp * pt(nzb,j,i) * surf_usm_h%qsws(m) ) &
1130	* heatflux_output_conversion(nzb)
1131	ENDIF
1132	IF ( bulk_cloud_model ) THEN
1133	!
1134	!-- Formula does not work if ql(nzb) /= 0.0
1135	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1136	waterflux_output_conversion(nzb) * &
1137	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1138	ENDIF
1139	ENDIF
1140	IF ( passive_scalar ) THEN
1141	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1142	surf_usm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1143	ENDIF
1144	#endif
1145
1146	ENDIF
1147
1148	ENDIF
1149
1150	#ifndef _OPENACC
1151	IF ( .NOT. neutral ) THEN
1152	IF ( surf_def_h(0)%end_index(j,i) >= &
1153	surf_def_h(0)%start_index(j,i) ) THEN
1154	m = surf_def_h(0)%start_index(j,i)
1155	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1156	surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1157	ENDIF
1158	IF ( surf_lsm_h%end_index(j,i) >= &
1159	surf_lsm_h%start_index(j,i) ) THEN
1160	m = surf_lsm_h%start_index(j,i)
1161	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1162	surf_lsm_h%ol(m) * rmask(j,i,sr) ! L
1163	ENDIF
1164	IF ( surf_usm_h%end_index(j,i) >= &
1165	surf_usm_h%start_index(j,i) ) THEN
1166	m = surf_usm_h%start_index(j,i)
1167	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1168	surf_usm_h%ol(m) * rmask(j,i,sr) ! L
1169	ENDIF
1170	ENDIF
1171
1172	IF ( radiation ) THEN
1173	IF ( surf_def_h(0)%end_index(j,i) >= &
1174	surf_def_h(0)%start_index(j,i) ) THEN
1175	m = surf_def_h(0)%start_index(j,i)
1176	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1177	surf_def_h(0)%rad_net(m) * rmask(j,i,sr)
1178	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1179	surf_def_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1180	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1181	surf_def_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1182	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1183	surf_def_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1184	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1185	surf_def_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1186	ENDIF
1187	IF ( surf_lsm_h%end_index(j,i) >= &
1188	surf_lsm_h%start_index(j,i) ) THEN
1189	m = surf_lsm_h%start_index(j,i)
1190	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1191	surf_lsm_h%rad_net(m) * rmask(j,i,sr)
1192	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1193	surf_lsm_h%rad_lw_in(m) * rmask(j,i,sr)
1194	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1195	surf_lsm_h%rad_lw_out(m) * rmask(j,i,sr)
1196	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1197	surf_lsm_h%rad_sw_in(m) * rmask(j,i,sr)
1198	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1199	surf_lsm_h%rad_sw_out(m) * rmask(j,i,sr)
1200	ENDIF
1201	IF ( surf_usm_h%end_index(j,i) >= &
1202	surf_usm_h%start_index(j,i) ) THEN
1203	m = surf_usm_h%start_index(j,i)
1204	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1205	surf_usm_h%rad_net(m) * rmask(j,i,sr)
1206	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1207	surf_usm_h%rad_lw_in(m) * rmask(j,i,sr)
1208	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1209	surf_usm_h%rad_lw_out(m) * rmask(j,i,sr)
1210	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1211	surf_usm_h%rad_sw_in(m) * rmask(j,i,sr)
1212	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1213	surf_usm_h%rad_sw_out(m) * rmask(j,i,sr)
1214	ENDIF
1215
1216	#if defined ( __rrtmg )
1217	IF ( radiation_scheme == 'rrtmg' ) THEN
1218
1219	IF ( surf_def_h(0)%end_index(j,i) >= &
1220	surf_def_h(0)%start_index(j,i) ) THEN
1221	m = surf_def_h(0)%start_index(j,i)
1222	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1223	surf_def_h(0)%rrtm_aldif(m,0) * rmask(j,i,sr)
1224	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1225	surf_def_h(0)%rrtm_aldir(m,0) * rmask(j,i,sr)
1226	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1227	surf_def_h(0)%rrtm_asdif(m,0) * rmask(j,i,sr)
1228	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1229	surf_def_h(0)%rrtm_asdir(m,0) * rmask(j,i,sr)
1230	ENDIF
1231	IF ( surf_lsm_h%end_index(j,i) >= &
1232	surf_lsm_h%start_index(j,i) ) THEN
1233	m = surf_lsm_h%start_index(j,i)
1234	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1235	SUM( surf_lsm_h%frac(m,:) * &
1236	surf_lsm_h%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1237	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1238	SUM( surf_lsm_h%frac(m,:) * &
1239	surf_lsm_h%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1240	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1241	SUM( surf_lsm_h%frac(m,:) * &
1242	surf_lsm_h%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1243	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1244	SUM( surf_lsm_h%frac(m,:) * &
1245	surf_lsm_h%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1246	ENDIF
1247	IF ( surf_usm_h%end_index(j,i) >= &
1248	surf_usm_h%start_index(j,i) ) THEN
1249	m = surf_usm_h%start_index(j,i)
1250	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1251	SUM( surf_usm_h%frac(m,:) * &
1252	surf_usm_h%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1253	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1254	SUM( surf_usm_h%frac(m,:) * &
1255	surf_usm_h%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1256	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1257	SUM( surf_usm_h%frac(m,:) * &
1258	surf_usm_h%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1259	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1260	SUM( surf_usm_h%frac(m,:) * &
1261	surf_usm_h%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1262	ENDIF
1263
1264	ENDIF
1265	#endif
1266	ENDIF
1267	#endif
1268	!
1269	!-- Subgridscale fluxes at the top surface
1270	IF ( use_top_fluxes ) THEN
1271	m = surf_def_h(2)%start_index(j,i)
1272	!$ACC ATOMIC
1273	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
1274	momentumflux_output_conversion(nzt) * &
1275	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1276	!$ACC ATOMIC
1277	sums_l(nzt+1,12,tn) = sums_l(nzt+1,12,tn) + &
1278	momentumflux_output_conversion(nzt+1) * &
1279	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1280	!$ACC ATOMIC
1281	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
1282	momentumflux_output_conversion(nzt) * &
1283	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1284	!$ACC ATOMIC
1285	sums_l(nzt+1,14,tn) = sums_l(nzt+1,14,tn) + &
1286	momentumflux_output_conversion(nzt+1) * &
1287	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1288	!$ACC ATOMIC
1289	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
1290	heatflux_output_conversion(nzt) * &
1291	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1292	!$ACC ATOMIC
1293	sums_l(nzt+1,16,tn) = sums_l(nzt+1,16,tn) + &
1294	heatflux_output_conversion(nzt+1) * &
1295	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1296	#if 0
1297	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1298	0.0_wp * rmask(j,i,sr) ! u"pt"
1299	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1300	0.0_wp * rmask(j,i,sr) ! v"pt"
1301	#endif
1302	#ifndef _OPENACC
1303	IF ( ocean_mode ) THEN
1304	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1305	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1306	ENDIF
1307	IF ( humidity ) THEN
1308	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1309	waterflux_output_conversion(nzt) * &
1310	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1311	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1312	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
1313	surf_def_h(2)%shf(m) + &
1314	0.61_wp * pt(nzt,j,i) * &
1315	surf_def_h(2)%qsws(m) ) &
1316	* heatflux_output_conversion(nzt)
1317	IF ( cloud_droplets ) THEN
1318	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1319	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1320	ql(nzt,j,i) ) * &
1321	surf_def_h(2)%shf(m) + &
1322	0.61_wp * pt(nzt,j,i) * &
1323	surf_def_h(2)%qsws(m) )&
1324	* heatflux_output_conversion(nzt)
1325	ENDIF
1326	IF ( bulk_cloud_model ) THEN
1327	!
1328	!-- Formula does not work if ql(nzb) /= 0.0
1329	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1330	waterflux_output_conversion(nzt) * &
1331	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1332	ENDIF
1333	ENDIF
1334	IF ( passive_scalar ) THEN
1335	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1336	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1337	ENDIF
1338	#endif
1339	ENDIF
1340
1341	!
1342	!-- Resolved fluxes (can be computed for all horizontal points)
1343	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
1344	!-- ---- speaking the following k-loop would have to be split up and
1345	!-- rearranged according to the staggered grid.
1346	DO k = nzb, nzt
1347	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
1348	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1349	u(k+1,j,i) - hom(k+1,1,1,sr) )
1350	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1351	v(k+1,j,i) - hom(k+1,1,2,sr) )
1352	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1353	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1354
1355	!-- Higher moments
1356	!$ACC ATOMIC
1357	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
1358	rmask(j,i,sr) * flag
1359	!$ACC ATOMIC
1360	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
1361	rmask(j,i,sr) * flag
1362
1363	!
1364	!-- Salinity flux and density (density does not belong to here,
1365	!-- but so far there is no other suitable place to calculate)
1366	#ifndef _OPENACC
1367	IF ( ocean_mode ) THEN
1368	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1369	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1370	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1371	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1372	rmask(j,i,sr) * flag
1373	ENDIF
1374	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * &
1375	rmask(j,i,sr) * flag
1376	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
1377	rmask(j,i,sr) * flag
1378	ENDIF
1379
1380	!
1381	!-- Buoyancy flux, water flux, humidity flux, liquid water
1382	!-- content, rain drop concentration and rain water content
1383	IF ( humidity ) THEN
1384	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
1385	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1386	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1387	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1388	rho_air_zw(k) * &
1389	heatflux_output_conversion(k) * &
1390	rmask(j,i,sr) * flag
1391	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) &
1392	* flag
1393
1394	IF ( .NOT. cloud_droplets ) THEN
1395	pts = 0.5_wp * &
1396	( ( q(k,j,i) - ql(k,j,i) ) - &
1397	hom(k,1,42,sr) + &
1398	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1399	hom(k+1,1,42,sr) )
1400	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1401	rho_air_zw(k) * &
1402	waterflux_output_conversion(k) * &
1403	rmask(j,i,sr) * &
1404	flag
1405	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
1406	rmask(j,i,sr) * &
1407	flag
1408	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * &
1409	rmask(j,i,sr) * &
1410	flag
1411	IF ( microphysics_morrison ) THEN
1412	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * &
1413	rmask(j,i,sr) *&
1414	flag
1415	ENDIF
1416	IF ( microphysics_seifert ) THEN
1417	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
1418	rmask(j,i,sr) *&
1419	flag
1420	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
1421	rmask(j,i,sr) *&
1422	flag
1423	ENDIF
1424	ENDIF
1425
1426	ELSE
1427	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1428	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1429	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1430	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1431	rho_air_zw(k) * &
1432	heatflux_output_conversion(k) * &
1433	rmask(j,i,sr) * &
1434	flag
1435	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1436	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1437	hom(k,1,41,sr) ) * &
1438	sums_l(k,17,tn) + &
1439	0.61_wp * hom(k,1,4,sr) * &
1440	sums_l(k,49,tn) &
1441	) * heatflux_output_conversion(k) * &
1442	flag
1443	END IF
1444	END IF
1445	ENDIF
1446	!
1447	!-- Passive scalar flux
1448	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
1449	.OR. sr /= 0 ) ) THEN
1450	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1451	s(k+1,j,i) - hom(k+1,1,115,sr) )
1452	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1453	rmask(j,i,sr) * flag
1454	ENDIF
1455	#endif
1456
1457	!
1458	!-- Energy flux we
1459	!-- has to be adjusted
1460	!$ACC ATOMIC
1461	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1462	( ust2 + vst2 + w(k,j,i)**2 ) &
1463	* rho_air_zw(k) &
1464	* momentumflux_output_conversion(k) &
1465	* rmask(j,i,sr) * flag
1466	ENDDO
1467	ENDDO
1468	ENDDO
1469	!$OMP END PARALLEL
1470
1471	!$ACC UPDATE &
1472	!$ACC HOST(sums_l(:,12,tn), sums_l(:,14,tn), sums_l(:,16,tn)) &
1473	!$ACC HOST(sums_l(:,35,tn), sums_l(:,36,tn), sums_l(:,37,tn))
1474	!
1475	!-- Treat land-surface quantities according to new wall model structure.
1476	IF ( land_surface ) THEN
1477	tn = 0
1478	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1479	!$ tn = omp_get_thread_num()
1480	!$OMP DO
1481	DO m = 1, surf_lsm_h%ns
1482	i = surf_lsm_h%i(m)
1483	j = surf_lsm_h%j(m)
1484
1485	IF ( i >= nxl .AND. i <= nxr .AND. &
1486	j >= nys .AND. j <= nyn ) THEN
1487	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h%ghf(m)
1488	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h%qsws_liq(m)
1489	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h%qsws_soil(m)
1490	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h%qsws_veg(m)
1491	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h%r_a(m)
1492	sums_l(nzb,98,tn) = sums_l(nzb,98,tn)+ surf_lsm_h%r_s(m)
1493	ENDIF
1494	ENDDO
1495	!$OMP END PARALLEL
1496
1497	tn = 0
1498	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1499	!$ tn = omp_get_thread_num()
1500	!$OMP DO
1501	DO m = 1, surf_lsm_h%ns
1502
1503	i = surf_lsm_h%i(m)
1504	j = surf_lsm_h%j(m)
1505
1506	IF ( i >= nxl .AND. i <= nxr .AND. &
1507	j >= nys .AND. j <= nyn ) THEN
1508
1509	DO k = nzb_soil, nzt_soil
1510	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h%var_2d(k,m) &
1511	* rmask(j,i,sr)
1512	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h%var_2d(k,m) &
1513	* rmask(j,i,sr)
1514	ENDDO
1515	ENDIF
1516	ENDDO
1517	!$OMP END PARALLEL
1518	ENDIF
1519	!
1520	!-- For speed optimization fluxes which have been computed in part directly
1521	!-- inside the WS advection routines are treated seperatly
1522	!-- Momentum fluxes first:
1523
1524	tn = 0
1525	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
1526	!$ tn = omp_get_thread_num()
1527	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1528	!$OMP DO
1529	DO i = nxl, nxr
1530	DO j = nys, nyn
1531	DO k = nzb, nzt
1532	!
1533	!-- Flag 23 is used to mask surface fluxes as well as model-top
1534	!-- fluxes, which are added further below.
1535	flag = MERGE( 1.0_wp, 0.0_wp, &
1536	BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1537	MERGE( 1.0_wp, 0.0_wp, &
1538	BTEST( wall_flags_total_0(k,j,i), 9 ) )
1539
1540	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1541	u(k+1,j,i) - hom(k+1,1,1,sr) )
1542	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1543	v(k+1,j,i) - hom(k+1,1,2,sr) )
1544	!
1545	!-- Momentum flux wu
1546	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
1547	( w(k,j,i-1) + w(k,j,i) ) &
1548	* rho_air_zw(k) &
1549	* momentumflux_output_conversion(k) &
1550	* ust * rmask(j,i,sr) &
1551	* flag
1552	!
1553	!-- Momentum flux wv
1554	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * &
1555	( w(k,j-1,i) + w(k,j,i) ) &
1556	* rho_air_zw(k) &
1557	* momentumflux_output_conversion(k) &
1558	* vst * rmask(j,i,sr) &
1559	* flag
1560	ENDDO
1561	ENDDO
1562	ENDDO
1563
1564	ENDIF
1565	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1566	!$OMP DO
1567	DO i = nxl, nxr
1568	DO j = nys, nyn
1569	DO k = nzb, nzt
1570	flag = MERGE( 1.0_wp, 0.0_wp, &
1571	BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1572	MERGE( 1.0_wp, 0.0_wp, &
1573	BTEST( wall_flags_total_0(k,j,i), 9 ) )
1574	!
1575	!-- Vertical heat flux
1576	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1577	( pt(k,j,i) - hom(k,1,4,sr) + &
1578	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1579	* rho_air_zw(k) &
1580	* heatflux_output_conversion(k) &
1581	* w(k,j,i) * rmask(j,i,sr) * flag
1582	IF ( humidity ) THEN
1583	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1584	q(k+1,j,i) - hom(k+1,1,41,sr) )
1585	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1586	rho_air_zw(k) * &
1587	waterflux_output_conversion(k) * &
1588	rmask(j,i,sr) * flag
1589	ENDIF
1590	IF ( passive_scalar ) THEN
1591	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1592	s(k+1,j,i) - hom(k+1,1,115,sr) )
1593	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1594	rmask(j,i,sr) * flag
1595	ENDIF
1596	ENDDO
1597	ENDDO
1598	ENDDO
1599
1600	ENDIF
1601
1602	!
1603	!-- Density at top follows Neumann condition
1604	IF ( ocean_mode ) THEN
1605	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1606	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1607	ENDIF
1608
1609	!
1610	!-- Divergence of vertical flux of resolved scale energy and pressure
1611	!-- fluctuations as well as flux of pressure fluctuation itself (68).
1612	!-- First calculate the products, then the divergence.
1613	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1614	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) &
1615	THEN
1616	sums_ll = 0.0_wp ! local array
1617
1618	!$OMP DO
1619	DO i = nxl, nxr
1620	DO j = nys, nyn
1621	DO k = nzb+1, nzt
1622	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1623
1624	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1625	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1626	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2&
1627	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1628	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2&
1629	+ w(k,j,i)*2 ) flag
1630
1631	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1632	* ( ( p(k,j,i) + p(k+1,j,i) ) &
1633	/ momentumflux_output_conversion(k) ) &
1634	* flag
1635
1636	ENDDO
1637	ENDDO
1638	ENDDO
1639	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1640	sums_ll(nzt+1,1) = 0.0_wp
1641	sums_ll(0,2) = 0.0_wp
1642	sums_ll(nzt+1,2) = 0.0_wp
1643
1644	DO k = nzb+1, nzt
1645	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1646	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1647	sums_l(k,68,tn) = sums_ll(k,2)
1648	ENDDO
1649	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1650	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1651	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1652
1653	ENDIF
1654
1655	!
1656	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1657	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) &
1658	THEN
1659	!$OMP DO
1660	DO i = nxl, nxr
1661	DO j = nys, nyn
1662	DO k = nzb+1, nzt
1663
1664	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1665
1666	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1667	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1668	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1669	) * ddzw(k) &
1670	* flag
1671
1672	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1673	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1674	) * flag
1675
1676	ENDDO
1677	ENDDO
1678	ENDDO
1679	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1680	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1681
1682	ENDIF
1683
1684	!
1685	!-- Horizontal heat fluxes (subgrid, resolved, total).
1686	!-- Do it only, if profiles shall be plotted.
1687	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1688
1689	!$OMP DO
1690	DO i = nxl, nxr
1691	DO j = nys, nyn
1692	DO k = nzb+1, nzt
1693	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1694	!
1695	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1696	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1697	( kh(k,j,i) + kh(k,j,i-1) ) &
1698	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1699	* rho_air_zw(k) &
1700	* heatflux_output_conversion(k) &
1701	* ddx * rmask(j,i,sr) * flag
1702	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1703	( kh(k,j,i) + kh(k,j-1,i) ) &
1704	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1705	* rho_air_zw(k) &
1706	* heatflux_output_conversion(k) &
1707	* ddy * rmask(j,i,sr) * flag
1708	!
1709	!-- Resolved horizontal heat fluxes upt, vpt
1710	sums_l(k,59,tn) = sums_l(k,59,tn) + &
1711	( u(k,j,i) - hom(k,1,1,sr) ) &
1712	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1713	pt(k,j,i) - hom(k,1,4,sr) ) &
1714	* heatflux_output_conversion(k) &
1715	* flag
1716	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1717	pt(k,j,i) - hom(k,1,4,sr) )
1718	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1719	( v(k,j,i) - hom(k,1,2,sr) ) &
1720	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1721	pt(k,j,i) - hom(k,1,4,sr) ) &
1722	* heatflux_output_conversion(k) &
1723	* flag
1724	ENDDO
1725	ENDDO
1726	ENDDO
1727	!
1728	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1729	sums_l(nzb,58,tn) = 0.0_wp
1730	sums_l(nzb,59,tn) = 0.0_wp
1731	sums_l(nzb,60,tn) = 0.0_wp
1732	sums_l(nzb,61,tn) = 0.0_wp
1733	sums_l(nzb,62,tn) = 0.0_wp
1734	sums_l(nzb,63,tn) = 0.0_wp
1735
1736	ENDIF
1737	!$OMP END PARALLEL
1738
1739	!
1740	!-- Collect current large scale advection and subsidence tendencies for
1741	!-- data output
1742	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1743	!
1744	!-- Interpolation in time of LSF_DATA
1745	nt = 1
1746	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1747	nt = nt + 1
1748	ENDDO
1749	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1750	nt = nt - 1
1751	ENDIF
1752
1753	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
1754	/ ( time_vert(nt+1)-time_vert(nt) )
1755
1756
1757	DO k = nzb, nzt
1758	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
1759	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1760	sums_ls_l(k,1) = td_lsa_q(k,nt) &
1761	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1762	ENDDO
1763
1764	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1765	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1766
1767	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1768
1769	DO k = nzb, nzt
1770	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
1771	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1772	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
1773	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1774	ENDDO
1775
1776	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1777	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1778
1779	ENDIF
1780
1781	ENDIF
1782
1783	tn = 0
1784	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1785	!$ tn = omp_get_thread_num()
1786	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1787	!$OMP DO
1788	DO i = nxl, nxr
1789	DO j = nys, nyn
1790	DO k = nzb+1, nzt+1
1791	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1792
1793	sums_l(k,100,tn) = sums_l(k,100,tn) + rad_lw_in(k,j,i) &
1794	* rmask(j,i,sr) * flag
1795	sums_l(k,101,tn) = sums_l(k,101,tn) + rad_lw_out(k,j,i) &
1796	* rmask(j,i,sr) * flag
1797	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_sw_in(k,j,i) &
1798	* rmask(j,i,sr) * flag
1799	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_sw_out(k,j,i) &
1800	* rmask(j,i,sr) * flag
1801	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_lw_cs_hr(k,j,i) &
1802	* rmask(j,i,sr) * flag
1803	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_lw_hr(k,j,i) &
1804	* rmask(j,i,sr) * flag
1805	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_sw_cs_hr(k,j,i) &
1806	* rmask(j,i,sr) * flag
1807	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_sw_hr(k,j,i) &
1808	* rmask(j,i,sr) * flag
1809	ENDDO
1810	ENDDO
1811	ENDDO
1812	ENDIF
1813
1814	!
1815	!-- Calculate the profiles for all other modules
1816	CALL module_interface_statistics( 'profiles', sr, tn, dots_max )
1817	!$OMP END PARALLEL
1818
1819	!
1820	!-- Summation of thread sums
1821	IF ( threads_per_task > 1 ) THEN
1822	DO i = 1, threads_per_task-1
1823	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1824	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1825	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1826	sums_l(:,45:pr_palm,i)
1827	IF ( max_pr_user > 0 ) THEN
1828	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1829	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1830	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1831	ENDIF
1832
1833	IF ( air_chemistry ) THEN
1834	IF ( max_pr_cs > 0 ) THEN
1835	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+ max_pr_cs,0) = &
1836	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,0) + &
1837	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,i)
1838
1839	ENDIF
1840	ENDIF
1841	IF ( salsa ) THEN
1842	IF ( max_pr_cs > 0 ) THEN
1843	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) = &
1844	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) + &
1845	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,i)
1846
1847	ENDIF
1848	ENDIF
1849	ENDDO
1850	ENDIF
1851
1852	#if defined( __parallel )
1853
1854	!
1855	!-- Compute total sum from local sums
1856	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1857	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1858	MPI_SUM, comm2d, ierr )
1859	IF ( large_scale_forcing ) THEN
1860	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
1861	MPI_REAL, MPI_SUM, comm2d, ierr )
1862	ENDIF
1863
1864	IF ( air_chemistry .AND. max_pr_cs > 0 ) THEN
1865	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1866	DO i = 1, max_pr_cs
1867	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+i,0), &
1868	sums(nzb,pr_palm+max_pr_user+i), &
1869	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1870	ENDDO
1871	ENDIF
1872
1873	IF ( salsa .AND. max_pr_salsa > 0 ) THEN
1874	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1875	DO i = 1, max_pr_salsa
1876	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+max_pr_cs+i,0), &
1877	sums(nzb,pr_palm+max_pr_user+max_pr_user+i), &
1878	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1879	ENDDO
1880	ENDIF
1881
1882	#else
1883	sums = sums_l(:,:,0)
1884	IF ( large_scale_forcing ) THEN
1885	sums(:,81:88) = sums_ls_l
1886	ENDIF
1887	#endif
1888
1889	!
1890	!-- Final values are obtained by division by the total number of grid points
1891	!-- used for summation. After that store profiles.
1892	!-- Check, if statistical regions do contain at least one grid point at the
1893	!-- respective k-level, otherwise division by zero will lead to undefined
1894	!-- values, which may cause e.g. problems with NetCDF output
1895	!-- Profiles:
1896	DO k = nzb, nzt+1
1897	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1898	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1899	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1900	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1901	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1902	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1903	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1904	sums(k,89:112) = sums(k,89:112) / ngp_2dh(sr)
1905	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1906	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1907	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1908	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1909	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1910	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1911	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1912	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1913	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1914	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1915	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1916	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1917	sums(k,123) = sums(k,123) * ngp_2dh_s_inner(k,sr) / ngp_2dh(sr)
1918	ENDIF
1919	ENDDO
1920
1921	!-- u* and so on
1922	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1923	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1924	!-- above the topography, they are being divided by ngp_2dh(sr)
1925	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1926	ngp_2dh(sr)
1927	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1928	ngp_2dh(sr)
1929	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / & ! ss
1930	ngp_2dh(sr)
1931	sums(nzb+14,pr_palm) = sums(nzb+14,pr_palm) / & ! surface temperature
1932	ngp_2dh(sr)
1933	!-- eges, e*
1934	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1935	ngp_3d(sr)
1936	!-- Old and new divergence
1937	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1938	ngp_3d_inner(sr)
1939
1940	!-- User-defined profiles
1941	IF ( max_pr_user > 0 ) THEN
1942	DO k = nzb, nzt+1
1943	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1944	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1945	ngp_2dh_s_inner(k,sr)
1946	ENDDO
1947	ENDIF
1948
1949	IF ( air_chemistry ) THEN
1950	IF ( max_pr_cs > 0 ) THEN
1951	DO k = nzb, nzt+1
1952	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) = &
1953	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) / &
1954	ngp_2dh_s_inner(k,sr)
1955	ENDDO
1956	ENDIF
1957	ENDIF
1958
1959	IF ( salsa ) THEN
1960	IF ( max_pr_salsa > 0 ) THEN
1961	DO k = nzb, nzt+1
1962	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) = &
1963	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) &
1964	/ ngp_2dh_s_inner(k,sr)
1965	ENDDO
1966	ENDIF
1967	ENDIF
1968
1969	!
1970	!-- Collect horizontal average in hom.
1971	!-- Compute deduced averages (e.g. total heat flux)
1972	hom(:,1,3,sr) = sums(:,3) ! w
1973	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1974	hom(:,1,9,sr) = sums(:,9) ! km
1975	hom(:,1,10,sr) = sums(:,10) ! kh
1976	hom(:,1,11,sr) = sums(:,11) ! l
1977	hom(:,1,12,sr) = sums(:,12) ! w"u"
1978	hom(:,1,13,sr) = sums(:,13) ! wu
1979	hom(:,1,14,sr) = sums(:,14) ! w"v"
1980	hom(:,1,15,sr) = sums(:,15) ! wv
1981	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1982	hom(:,1,17,sr) = sums(:,17) ! wpt
1983	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1984	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1985	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1986	hom(:,1,21,sr) = sums(:,21) ! wptBC
1987	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1988	! profile 24 is initial profile (sa)
1989	! profiles 25-29 left empty for initial
1990	! profiles
1991	hom(:,1,30,sr) = sums(:,30) ! u*2
1992	hom(:,1,31,sr) = sums(:,31) ! v*2
1993	hom(:,1,32,sr) = sums(:,32) ! w*2
1994	hom(:,1,33,sr) = sums(:,33) ! pt*2
1995	hom(:,1,34,sr) = sums(:,34) ! e*
1996	hom(:,1,35,sr) = sums(:,35) ! w2pt
1997	hom(:,1,36,sr) = sums(:,36) ! wpt2
1998	hom(:,1,37,sr) = sums(:,37) ! we
1999	hom(:,1,38,sr) = sums(:,38) ! w*3
2000	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
2001	hom(:,1,40,sr) = sums(:,40) ! p
2002	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
2003	hom(:,1,46,sr) = sums(:,46) ! wvpt
2004	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
2005	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
2006	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
2007	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
2008	hom(:,1,51,sr) = sums(:,51) ! w"qv"
2009	hom(:,1,52,sr) = sums(:,52) ! wqv
2010	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
2011	hom(:,1,54,sr) = sums(:,54) ! ql
2012	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
2013	hom(:,1,56,sr) = sums(:,56) ! wp/dz
2014	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
2015	hom(:,1,58,sr) = sums(:,58) ! u"pt"
2016	hom(:,1,59,sr) = sums(:,59) ! upt
2017	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
2018	hom(:,1,61,sr) = sums(:,61) ! v"pt"
2019	hom(:,1,62,sr) = sums(:,62) ! vpt
2020	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
2021	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
2022	hom(:,1,65,sr) = sums(:,65) ! w"sa"
2023	hom(:,1,66,sr) = sums(:,66) ! wsa
2024	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
2025	hom(:,1,68,sr) = sums(:,68) ! wp
2026	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
2027	hom(:,1,70,sr) = sums(:,70) ! q*2
2028	hom(:,1,71,sr) = sums(:,71) ! prho
2029	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
2030	hom(:,1,123,sr) = sums(:,123) ! nc
2031	hom(:,1,73,sr) = sums(:,73) ! nr
2032	hom(:,1,74,sr) = sums(:,74) ! qr
2033	hom(:,1,75,sr) = sums(:,75) ! qc
2034	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
2035	! 77 is initial density profile
2036	hom(:,1,78,sr) = ug ! ug
2037	hom(:,1,79,sr) = vg ! vg
2038	hom(:,1,80,sr) = w_subs ! w_subs
2039
2040	IF ( large_scale_forcing ) THEN
2041	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
2042	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
2043	IF ( use_subsidence_tendencies ) THEN
2044	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
2045	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
2046	ELSE
2047	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
2048	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
2049	ENDIF
2050	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
2051	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
2052	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
2053	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
2054	ENDIF
2055
2056	IF ( land_surface ) THEN
2057	hom(:,1,89,sr) = sums(:,89) ! t_soil
2058	! 90 is initial t_soil profile
2059	hom(:,1,91,sr) = sums(:,91) ! m_soil
2060	! 92 is initial m_soil profile
2061	hom(:,1,93,sr) = sums(:,93) ! ghf
2062	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
2063	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
2064	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
2065	hom(:,1,97,sr) = sums(:,97) ! r_a
2066	hom(:,1,98,sr) = sums(:,98) ! r_s
2067
2068	ENDIF
2069
2070	IF ( radiation ) THEN
2071	hom(:,1,99,sr) = sums(:,99) ! rad_net
2072	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
2073	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
2074	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
2075	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
2076
2077	IF ( radiation_scheme == 'rrtmg' ) THEN
2078	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
2079	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
2080	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
2081	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
2082
2083	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
2084	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
2085	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
2086	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
2087	ENDIF
2088	ENDIF
2089
2090	hom(:,1,112,sr) = sums(:,112) !: L
2091
2092	IF ( passive_scalar ) THEN
2093	hom(:,1,117,sr) = sums(:,117) ! w"s"
2094	hom(:,1,114,sr) = sums(:,114) ! ws
2095	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
2096	hom(:,1,116,sr) = sums(:,116) ! s*2
2097	ENDIF
2098
2099	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
2100	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
2101
2102	IF ( kolmogorov_length_scale ) THEN
2103	hom(:,1,121,sr) = sums(:,121) * 1E3_wp ! eta in mm
2104	ENDIF
2105
2106
2107	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
2108	! u, w'u', w'v', t (in last profile)
2109
2110	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
2111	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
2112	sums(:,pr_palm+1:pr_palm+max_pr_user)
2113	ENDIF
2114
2115	IF ( air_chemistry ) THEN
2116	IF ( max_pr_cs > 0 ) THEN ! chem_spcs profiles
2117	hom(:, 1, pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs, sr) = &
2118	sums(:, pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs)
2119	ENDIF
2120	ENDIF
2121
2122	IF ( salsa ) THEN
2123	IF ( max_pr_salsa > 0 ) THEN ! salsa profiles
2124	hom(:,1,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa, sr) = &
2125	sums(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa)
2126	ENDIF
2127	ENDIF
2128	!
2129	!-- Determine the boundary layer height using two different schemes.
2130	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
2131	!-- first relative minimum (maximum) of the total heat flux.
2132	!-- The corresponding height is assumed as the boundary layer height, if it
2133	!-- is less than 1.5 times the height where the heat flux becomes negative
2134	!-- (positive) for the first time. Attention: the resolved vertical sensible
2135	!-- heat flux (hom(:,1,17,sr) = wpt) is not known at the beginning because
2136	!-- the calculation happens in advec_s_ws which is called after
2137	!-- flow_statistics. Therefore z_i is directly taken from restart data at
2138	!-- the beginning of restart runs.
2139	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .OR. &
2140	simulated_time_at_begin /= simulated_time ) THEN
2141
2142	z_i(1) = 0.0_wp
2143	first = .TRUE.
2144
2145	IF ( ocean_mode ) THEN
2146	DO k = nzt, nzb+1, -1
2147	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2148	first = .FALSE.
2149	height = zw(k)
2150	ENDIF
2151	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2152	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2153	IF ( zw(k) < 1.5_wp * height ) THEN
2154	z_i(1) = zw(k)
2155	ELSE
2156	z_i(1) = height
2157	ENDIF
2158	EXIT
2159	ENDIF
2160	ENDDO
2161	ELSE
2162	DO k = nzb, nzt-1
2163	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2164	first = .FALSE.
2165	height = zw(k)
2166	ENDIF
2167	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2168	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2169	IF ( zw(k) < 1.5_wp * height ) THEN
2170	z_i(1) = zw(k)
2171	ELSE
2172	z_i(1) = height
2173	ENDIF
2174	EXIT
2175	ENDIF
2176	ENDDO
2177	ENDIF
2178
2179	!
2180	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
2181	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
2182	!-- maximal local temperature gradient: starting from the second (the
2183	!-- last but one) vertical gridpoint, the local gradient must be at least
2184	!-- 0.2K/100m and greater than the next four gradients.
2185	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2186	!-- ocean case!
2187	z_i(2) = 0.0_wp
2188	DO k = nzb+1, nzt+1
2189	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2190	ENDDO
2191	dptdz_threshold = 0.2_wp / 100.0_wp
2192
2193	IF ( ocean_mode ) THEN
2194	DO k = nzt+1, nzb+5, -1
2195	IF ( dptdz(k) > dptdz_threshold .AND. &
2196	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND.&
2197	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2198	z_i(2) = zw(k-1)
2199	EXIT
2200	ENDIF
2201	ENDDO
2202	ELSE
2203	DO k = nzb+1, nzt-3
2204	IF ( dptdz(k) > dptdz_threshold .AND. &
2205	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND.&
2206	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2207	z_i(2) = zw(k-1)
2208	EXIT
2209	ENDIF
2210	ENDDO
2211	ENDIF
2212
2213	ENDIF
2214
2215	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2216	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2217
2218	!
2219	!-- Determine vertical index which is nearest to the mean surface level
2220	!-- height of the respective statistic region
2221	DO k = nzb, nzt
2222	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
2223	k_surface_level = k
2224	EXIT
2225	ENDIF
2226	ENDDO
2227
2228	!
2229	!-- Computation of both the characteristic vertical velocity and
2230	!-- the characteristic convective boundary layer temperature.
2231	!-- The inversion height entering into the equation is defined with respect
2232	!-- to the mean surface level height of the respective statistic region.
2233	!-- The horizontal average at surface level index + 1 is input for the
2234	!-- average temperature.
2235	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp )&
2236	THEN
2237	hom(nzb+8,1,pr_palm,sr) = &
2238	( g / hom(k_surface_level+1,1,4,sr) * &
2239	( hom(k_surface_level,1,18,sr) / &
2240	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
2241	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
2242	ELSE
2243	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
2244	ENDIF
2245
2246	!
2247	!-- Collect the time series quantities. Please note, timeseries quantities
2248	!-- which are collected from horizontally averaged profiles, e.g. wpt
2249	!-- or pt(zp), are treated specially. In case of elevated model surfaces,
2250	!-- index nzb+1 might be within topography and data will be zero. Therefore,
2251	!-- take value for the first atmosphere index, which is topo_min_level+1.
2252	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2253	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2254	ts_value(3,sr) = dt_3d
2255	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2256	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2257	ts_value(6,sr) = u_max
2258	ts_value(7,sr) = v_max
2259	ts_value(8,sr) = w_max
2260	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2261	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2262	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2263	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2264	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2265	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2266	ts_value(15,sr) = hom(topo_min_level+1,1,16,sr) ! w'pt' at k=1
2267	ts_value(16,sr) = hom(topo_min_level+1,1,18,sr) ! wpt at k=1
2268	ts_value(17,sr) = hom(nzb+14,1,pr_palm,sr) ! pt(0)
2269	ts_value(18,sr) = hom(topo_min_level+1,1,4,sr) ! pt(zp)
2270	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2271	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2272	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2273
2274	IF ( .NOT. neutral ) THEN
2275	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
2276	ELSE
2277	ts_value(22,sr) = 1.0E10_wp
2278	ENDIF
2279
2280	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2281
2282	IF ( passive_scalar ) THEN
2283	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
2284	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
2285	ENDIF
2286
2287	!
2288	!-- Collect land surface model timeseries
2289	IF ( land_surface ) THEN
2290	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2291	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2292	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2293	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2294	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2295	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2296	ENDIF
2297	!
2298	!-- Collect radiation model timeseries
2299	IF ( radiation ) THEN
2300	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2301	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2302	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2303	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2304	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2305
2306	IF ( radiation_scheme == 'rrtmg' ) THEN
2307	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2308	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2309	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2310	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2311	ENDIF
2312
2313	ENDIF
2314
2315	!
2316	!-- Calculate additional statistics provided by other modules
2317	CALL module_interface_statistics( 'time_series', sr, 0, dots_max )
2318
2319	ENDDO ! loop of the subregions
2320
2321	!
2322	!-- If required, sum up horizontal averages for subsequent time averaging.
2323	!-- Do not sum, if flow statistics is called before the first initial time step.
2324	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2325	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2326	hom_sum = hom_sum + hom(:,1,:,:)
2327	average_count_pr = average_count_pr + 1
2328	do_sum = .FALSE.
2329	ENDIF
2330
2331	!
2332	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2333	!-- This flag is reset after each time step in time_integration.
2334	flow_statistics_called = .TRUE.
2335
2336	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2337
2338
2339	END SUBROUTINE flow_statistics

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