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source: palm/trunk/SOURCE/flow_statistics.f90 @ 4468

Last change on this file since 4468 was 4464, checked in by Giersch, 5 years ago
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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 4464 2020-03-17 11:08:46Z suehring $
27	! Reset last change (r4463)
28	!
29	! 4463 2020-03-17 09:27:36Z Giersch
30	! Calculate horizontally averaged profiles of all velocity components at the
31	! same place
32	!
33	! 4444 2020-03-05 15:59:50Z raasch
34	! bugfix: cpp-directives for serial mode added
35	!
36	! 4442 2020-03-04 19:21:13Z suehring
37	! Change order of dimension in surface array %frac to allow for better
38	! vectorization.
39	!
40	! 4441 2020-03-04 19:20:35Z suehring
41	! Introduction of wall_flags_total_0, which currently sets bits based on static
42	! topography information used in wall_flags_static_0
43	!
44	! 4329 2019-12-10 15:46:36Z motisi
45	! Renamed wall_flags_0 to wall_flags_static_0
46	!
47	! 4182 2019-08-22 15:20:23Z scharf
48	! Corrected "Former revisions" section
49	!
50	! 4131 2019-08-02 11:06:18Z monakurppa
51	! Allow profile output for salsa variables.
52	!
53	! 4039 2019-06-18 10:32:41Z suehring
54	! Correct conversion to kinematic scalar fluxes in case of pw-scheme and
55	! statistic regions
56	!
57	! 3828 2019-03-27 19:36:23Z raasch
58	! unused variables removed
59	!
60	! 3676 2019-01-16 15:07:05Z knoop
61	! Bugfix, terminate OMP Parallel block
62	!
63	! Revision 1.1 1997/08/11 06:15:17 raasch
64	! Initial revision
65	!
66	!
67	! Description:
68	! ------------
69	!> Compute average profiles and further average flow quantities for the different
70	!> user-defined (sub-)regions. The region indexed 0 is the total model domain.
71	!>
72	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
73	!> lower vertical index for k-loops for all variables, although strictly
74	!> speaking the k-loops would have to be split up according to the staggered
75	!> grid. However, this implies no error since staggered velocity components
76	!> are zero at the walls and inside buildings.
77	!------------------------------------------------------------------------------!
78	SUBROUTINE flow_statistics
79
80
81	USE arrays_3d, &
82	ONLY: ddzu, ddzw, e, heatflux_output_conversion, hyp, km, kh, &
83	momentumflux_output_conversion, nc, nr, p, prho, prr, pt, q, &
84	qc, ql, qr, rho_air, rho_air_zw, rho_ocean, s, &
85	sa, u, ug, v, vg, vpt, w, w_subs, waterflux_output_conversion, &
86	zw, d_exner
87
88	USE basic_constants_and_equations_mod, &
89	ONLY: g, lv_d_cp
90
91	USE bulk_cloud_model_mod, &
92	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
93
94	USE chem_modules, &
95	ONLY: max_pr_cs
96
97	USE control_parameters, &
98	ONLY: air_chemistry, average_count_pr, cloud_droplets, do_sum, &
99	dt_3d, humidity, initializing_actions, land_surface, &
100	large_scale_forcing, large_scale_subsidence, max_pr_user, &
101	message_string, neutral, ocean_mode, passive_scalar, &
102	simulated_time, simulated_time_at_begin, &
103	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
104	ws_scheme_mom, ws_scheme_sca, salsa, max_pr_salsa
105
106	USE cpulog, &
107	ONLY: cpu_log, log_point
108
109	USE grid_variables, &
110	ONLY: ddx, ddy
111
112	USE indices, &
113	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, nxl, nxr, nyn, &
114	nys, nzb, nzt, topo_min_level, wall_flags_total_0
115
116	#if defined( __parallel )
117	USE indices, &
118	ONLY: ngp_sums, ngp_sums_ls
119	#endif
120
121	USE kinds
122
123	USE land_surface_model_mod, &
124	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
125
126	USE lsf_nudging_mod, &
127	ONLY: td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert
128
129	USE module_interface, &
130	ONLY: module_interface_statistics
131
132	USE netcdf_interface, &
133	ONLY: dots_rad, dots_soil, dots_max
134
135	USE pegrid
136
137	USE radiation_model_mod, &
138	ONLY: radiation, radiation_scheme, &
139	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
140	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
141
142	USE statistics
143
144	USE surface_mod, &
145	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
146
147
148	IMPLICIT NONE
149
150	INTEGER(iwp) :: i !<
151	INTEGER(iwp) :: j !<
152	INTEGER(iwp) :: k !<
153	INTEGER(iwp) :: ki !<
154	INTEGER(iwp) :: k_surface_level !<
155	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
156	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
157	INTEGER(iwp) :: nt !<
158	!$ INTEGER(iwp) :: omp_get_thread_num !<
159	INTEGER(iwp) :: sr !<
160	INTEGER(iwp) :: tn !<
161
162	LOGICAL :: first !<
163
164	REAL(wp) :: dptdz_threshold !<
165	REAL(wp) :: fac !<
166	REAL(wp) :: flag !<
167	REAL(wp) :: height !<
168	REAL(wp) :: pts !<
169	REAL(wp) :: sums_l_etot !<
170	REAL(wp) :: ust !<
171	REAL(wp) :: ust2 !<
172	REAL(wp) :: u2 !<
173	REAL(wp) :: vst !<
174	REAL(wp) :: vst2 !<
175	REAL(wp) :: v2 !<
176	REAL(wp) :: w2 !<
177
178	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
179	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
180
181	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
182
183
184	!
185	!-- To be on the safe side, check whether flow_statistics has already been
186	!-- called once after the current time step
187	IF ( flow_statistics_called ) THEN
188
189	message_string = 'flow_statistics is called two times within one ' // &
190	'timestep'
191	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
192
193	ENDIF
194
195	!
196	!-- Compute statistics for each (sub-)region
197	DO sr = 0, statistic_regions
198
199	!
200	!-- Initialize (local) summation array
201	sums_l = 0.0_wp
202	#ifdef _OPENACC
203	!$ACC KERNELS PRESENT(sums_l)
204	sums_l = 0.0_wp
205	!$ACC END KERNELS
206	#endif
207
208	!
209	!-- Store sums that have been computed in other subroutines in summation
210	!-- array
211	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
212	!-- WARNING: next line still has to be adjusted for OpenMP
213	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
214	heatflux_output_conversion ! heat flux from advec_s_bc
215	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
216	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
217
218	!
219	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
220	!-- scale) vertical fluxes and velocity variances by using commonly-
221	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
222	!-- in combination with the 5th order advection scheme, pronounced
223	!-- artificial kinks could be observed in the vertical profiles near the
224	!-- surface. Please note: these kinks were not related to the model truth,
225	!-- i.e. these kinks are just related to an evaluation problem.
226	!-- In order avoid these kinks, vertical fluxes and horizontal as well
227	!-- vertical velocity variances are calculated directly within the advection
228	!-- routines, according to the numerical discretization, to evaluate the
229	!-- statistical quantities as they will appear within the prognostic
230	!-- equations.
231	!-- Copy the turbulent quantities, evaluated in the advection routines to
232	!-- the local array sums_l() for further computations.
233	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
234
235	!
236	!-- According to the Neumann bc for the horizontal velocity components,
237	!-- the corresponding fluxes has to satisfiy the same bc.
238	IF ( ocean_mode ) THEN
239	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
240	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
241	ENDIF
242
243	DO i = 0, threads_per_task-1
244	!
245	!-- Swap the turbulent quantities evaluated in advec_ws.
246	sums_l(:,13,i) = sums_wsus_ws_l(:,i) &
247	* momentumflux_output_conversion ! wu
248	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) &
249	* momentumflux_output_conversion ! wv
250	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
251	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
252	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
253	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
254	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
255	sums_ws2_ws_l(:,i) ) ! e*
256	ENDDO
257
258	ENDIF
259
260	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
261
262	DO i = 0, threads_per_task-1
263	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
264	* heatflux_output_conversion ! wpt
265	IF ( ocean_mode ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
266	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
267	* waterflux_output_conversion ! wq
268	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
269	ENDDO
270
271	ENDIF
272	!
273	!-- Horizontally averaged profiles of horizontal velocities and temperature.
274	!-- They must have been computed before, because they are already required
275	!-- for other horizontal averages.
276	tn = 0
277	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
278	!$ tn = omp_get_thread_num()
279	!$OMP DO
280	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag) &
281	!$ACC PRESENT(wall_flags_total_0, u, v, pt, rmask, sums_l)
282	DO i = nxl, nxr
283	DO j = nys, nyn
284	DO k = nzb, nzt+1
285	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
286	!$ACC ATOMIC
287	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) &
288	* flag
289	!$ACC ATOMIC
290	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) &
291	* flag
292	!$ACC ATOMIC
293	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) &
294	* flag
295	ENDDO
296	ENDDO
297	ENDDO
298	!$ACC UPDATE HOST(sums_l(:,1,tn), sums_l(:,2,tn), sums_l(:,4,tn))
299
300	!
301	!-- Horizontally averaged profile of salinity
302	IF ( ocean_mode ) THEN
303	!$OMP DO
304	DO i = nxl, nxr
305	DO j = nys, nyn
306	DO k = nzb, nzt+1
307	sums_l(k,23,tn) = sums_l(k,23,tn) + sa(k,j,i) &
308	* rmask(j,i,sr) &
309	* MERGE( 1.0_wp, 0.0_wp, &
310	BTEST( wall_flags_total_0(k,j,i), 22 ) )
311	ENDDO
312	ENDDO
313	ENDDO
314	ENDIF
315
316	!
317	!-- Horizontally averaged profiles of virtual potential temperature,
318	!-- total water content, water vapor mixing ratio and liquid water potential
319	!-- temperature
320	IF ( humidity ) THEN
321	!$OMP DO
322	DO i = nxl, nxr
323	DO j = nys, nyn
324	DO k = nzb, nzt+1
325	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
326	sums_l(k,44,tn) = sums_l(k,44,tn) + &
327	vpt(k,j,i) * rmask(j,i,sr) * flag
328	sums_l(k,41,tn) = sums_l(k,41,tn) + &
329	q(k,j,i) * rmask(j,i,sr) * flag
330	ENDDO
331	ENDDO
332	ENDDO
333	IF ( bulk_cloud_model ) THEN
334	!$OMP DO
335	DO i = nxl, nxr
336	DO j = nys, nyn
337	DO k = nzb, nzt+1
338	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
339	sums_l(k,42,tn) = sums_l(k,42,tn) + &
340	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) &
341	* flag
342	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
343	pt(k,j,i) + lv_d_cp * d_exner(k) * ql(k,j,i) &
344	) * rmask(j,i,sr) &
345	* flag
346	ENDDO
347	ENDDO
348	ENDDO
349	ENDIF
350	ENDIF
351
352	!
353	!-- Horizontally averaged profiles of passive scalar
354	IF ( passive_scalar ) THEN
355	!$OMP DO
356	DO i = nxl, nxr
357	DO j = nys, nyn
358	DO k = nzb, nzt+1
359	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
360	* rmask(j,i,sr) &
361	* MERGE( 1.0_wp, 0.0_wp, &
362	BTEST( wall_flags_total_0(k,j,i), 22 ) )
363	ENDDO
364	ENDDO
365	ENDDO
366	ENDIF
367	!$OMP END PARALLEL
368	!
369	!-- Summation of thread sums
370	IF ( threads_per_task > 1 ) THEN
371	DO i = 1, threads_per_task-1
372	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
373	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
374	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
375	IF ( ocean_mode ) THEN
376	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
377	ENDIF
378	IF ( humidity ) THEN
379	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
380	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
381	IF ( bulk_cloud_model ) THEN
382	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
383	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
384	ENDIF
385	ENDIF
386	IF ( passive_scalar ) THEN
387	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
388	ENDIF
389	ENDDO
390	ENDIF
391
392	#if defined( __parallel )
393	!
394	!-- Compute total sum from local sums
395	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
396	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
397	MPI_SUM, comm2d, ierr )
398	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
399	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
400	MPI_SUM, comm2d, ierr )
401	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
402	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
403	MPI_SUM, comm2d, ierr )
404	IF ( ocean_mode ) THEN
405	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
406	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
407	MPI_REAL, MPI_SUM, comm2d, ierr )
408	ENDIF
409	IF ( humidity ) THEN
410	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
411	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
412	MPI_REAL, MPI_SUM, comm2d, ierr )
413	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
414	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
415	MPI_REAL, MPI_SUM, comm2d, ierr )
416	IF ( bulk_cloud_model ) THEN
417	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
418	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
419	MPI_REAL, MPI_SUM, comm2d, ierr )
420	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
421	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
422	MPI_REAL, MPI_SUM, comm2d, ierr )
423	ENDIF
424	ENDIF
425
426	IF ( passive_scalar ) THEN
427	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
428	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, &
429	MPI_REAL, MPI_SUM, comm2d, ierr )
430	ENDIF
431	#else
432	sums(:,1) = sums_l(:,1,0)
433	sums(:,2) = sums_l(:,2,0)
434	sums(:,4) = sums_l(:,4,0)
435	IF ( ocean_mode ) sums(:,23) = sums_l(:,23,0)
436	IF ( humidity ) THEN
437	sums(:,44) = sums_l(:,44,0)
438	sums(:,41) = sums_l(:,41,0)
439	IF ( bulk_cloud_model ) THEN
440	sums(:,42) = sums_l(:,42,0)
441	sums(:,43) = sums_l(:,43,0)
442	ENDIF
443	ENDIF
444	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
445	#endif
446
447	!
448	!-- Final values are obtained by division by the total number of grid points
449	!-- used for summation. After that store profiles.
450	sums(:,1) = sums(:,1) / ngp_2dh(sr)
451	sums(:,2) = sums(:,2) / ngp_2dh(sr)
452	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
453	hom(:,1,1,sr) = sums(:,1) ! u
454	hom(:,1,2,sr) = sums(:,2) ! v
455	hom(:,1,4,sr) = sums(:,4) ! pt
456	!$ACC UPDATE DEVICE(hom(:,1,1,sr), hom(:,1,2,sr), hom(:,1,4,sr))
457
458
459	!
460	!-- Salinity
461	IF ( ocean_mode ) THEN
462	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
463	hom(:,1,23,sr) = sums(:,23) ! sa
464	ENDIF
465
466	!
467	!-- Humidity and cloud parameters
468	IF ( humidity ) THEN
469	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
470	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
471	hom(:,1,44,sr) = sums(:,44) ! vpt
472	hom(:,1,41,sr) = sums(:,41) ! qv (q)
473	IF ( bulk_cloud_model ) THEN
474	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
475	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
476	hom(:,1,42,sr) = sums(:,42) ! qv
477	hom(:,1,43,sr) = sums(:,43) ! pt
478	ENDIF
479	ENDIF
480
481	!
482	!-- Passive scalar
483	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / &
484	ngp_2dh_s_inner(:,sr) ! s
485
486	!
487	!-- Horizontally averaged profiles of the remaining prognostic variables,
488	!-- variances, the total and the perturbation energy (single values in last
489	!-- column of sums_l) and some diagnostic quantities.
490	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
491	!-- ---- speaking the following k-loop would have to be split up and
492	!-- rearranged according to the staggered grid.
493	!-- However, this implies no error since staggered velocity components
494	!-- are zero at the walls and inside buildings.
495	tn = 0
496	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, &
497	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
498	!$OMP w2, flag, m, ki, l )
499	!$ tn = omp_get_thread_num()
500	!$OMP DO
501	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, m) &
502	!$ACC PRIVATE(sums_l_etot, flag) &
503	!$ACC PRESENT(wall_flags_total_0, rmask, momentumflux_output_conversion) &
504	!$ACC PRESENT(hom(:,1,4,sr)) &
505	!$ACC PRESENT(e, u, v, w, km, kh, p, pt) &
506	!$ACC PRESENT(surf_def_h(0), surf_lsm_h, surf_usm_h) &
507	!$ACC PRESENT(sums_l)
508	DO i = nxl, nxr
509	DO j = nys, nyn
510	sums_l_etot = 0.0_wp
511	DO k = nzb, nzt+1
512	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
513	!
514	!-- Prognostic and diagnostic variables
515	!$ACC ATOMIC
516	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) &
517	* flag
518	!$ACC ATOMIC
519	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) &
520	* flag
521	!$ACC ATOMIC
522	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) &
523	* flag
524	!$ACC ATOMIC
525	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) &
526	* flag
527	!$ACC ATOMIC
528	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
529	/ momentumflux_output_conversion(k) ) &
530	* flag
531
532	!$ACC ATOMIC
533	sums_l(k,33,tn) = sums_l(k,33,tn) + &
534	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)&
535	* flag
536	#ifndef _OPENACC
537	IF ( humidity ) THEN
538	sums_l(k,70,tn) = sums_l(k,70,tn) + &
539	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)&
540	* flag
541	ENDIF
542	IF ( passive_scalar ) THEN
543	sums_l(k,116,tn) = sums_l(k,116,tn) + &
544	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr)&
545	* flag
546	ENDIF
547	#endif
548	!
549	!-- Higher moments
550	!-- (Computation of the skewness of w further below)
551	!$ACC ATOMIC
552	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) &
553	* flag
554
555	sums_l_etot = sums_l_etot + &
556	0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + &
557	w(k,j,i)*2 ) rmask(j,i,sr)&
558	* flag
559	ENDDO
560	!
561	!-- Total and perturbation energy for the total domain (being
562	!-- collected in the last column of sums_l). Summation of these
563	!-- quantities is seperated from the previous loop in order to
564	!-- allow vectorization of that loop.
565	!$ACC ATOMIC
566	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
567	!
568	!-- 2D-arrays (being collected in the last column of sums_l)
569	IF ( surf_def_h(0)%end_index(j,i) >= &
570	surf_def_h(0)%start_index(j,i) ) THEN
571	m = surf_def_h(0)%start_index(j,i)
572	!$ACC ATOMIC
573	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
574	surf_def_h(0)%us(m) * rmask(j,i,sr)
575	!$ACC ATOMIC
576	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
577	surf_def_h(0)%usws(m) * rmask(j,i,sr)
578	!$ACC ATOMIC
579	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
580	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
581	!$ACC ATOMIC
582	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
583	surf_def_h(0)%ts(m) * rmask(j,i,sr)
584	#ifndef _OPENACC
585	IF ( humidity ) THEN
586	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
587	surf_def_h(0)%qs(m) * rmask(j,i,sr)
588	ENDIF
589	IF ( passive_scalar ) THEN
590	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
591	surf_def_h(0)%ss(m) * rmask(j,i,sr)
592	ENDIF
593	#endif
594	!
595	!-- Summation of surface temperature.
596	!$ACC ATOMIC
597	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
598	surf_def_h(0)%pt_surface(m) * &
599	rmask(j,i,sr)
600	ENDIF
601	IF ( surf_lsm_h%end_index(j,i) >= surf_lsm_h%start_index(j,i) ) THEN
602	m = surf_lsm_h%start_index(j,i)
603	!$ACC ATOMIC
604	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
605	surf_lsm_h%us(m) * rmask(j,i,sr)
606	!$ACC ATOMIC
607	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
608	surf_lsm_h%usws(m) * rmask(j,i,sr)
609	!$ACC ATOMIC
610	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
611	surf_lsm_h%vsws(m) * rmask(j,i,sr)
612	!$ACC ATOMIC
613	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
614	surf_lsm_h%ts(m) * rmask(j,i,sr)
615	#ifndef _OPENACC
616	IF ( humidity ) THEN
617	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
618	surf_lsm_h%qs(m) * rmask(j,i,sr)
619	ENDIF
620	IF ( passive_scalar ) THEN
621	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
622	surf_lsm_h%ss(m) * rmask(j,i,sr)
623	ENDIF
624	#endif
625	!
626	!-- Summation of surface temperature.
627	!$ACC ATOMIC
628	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
629	surf_lsm_h%pt_surface(m) * &
630	rmask(j,i,sr)
631	ENDIF
632	IF ( surf_usm_h%end_index(j,i) >= surf_usm_h%start_index(j,i) ) THEN
633	m = surf_usm_h%start_index(j,i)
634	!$ACC ATOMIC
635	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
636	surf_usm_h%us(m) * rmask(j,i,sr)
637	!$ACC ATOMIC
638	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
639	surf_usm_h%usws(m) * rmask(j,i,sr)
640	!$ACC ATOMIC
641	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
642	surf_usm_h%vsws(m) * rmask(j,i,sr)
643	!$ACC ATOMIC
644	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
645	surf_usm_h%ts(m) * rmask(j,i,sr)
646	#ifndef _OPENACC
647	IF ( humidity ) THEN
648	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
649	surf_usm_h%qs(m) * rmask(j,i,sr)
650	ENDIF
651	IF ( passive_scalar ) THEN
652	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
653	surf_usm_h%ss(m) * rmask(j,i,sr)
654	ENDIF
655	#endif
656	!
657	!-- Summation of surface temperature.
658	!$ACC ATOMIC
659	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
660	surf_usm_h%pt_surface(m) * &
661	rmask(j,i,sr)
662	ENDIF
663	ENDDO
664	ENDDO
665	!$ACC UPDATE &
666	!$ACC HOST(sums_l(:,3,tn), sums_l(:,8,tn), sums_l(:,9,tn)) &
667	!$ACC HOST(sums_l(:,10,tn), sums_l(:,40,tn), sums_l(:,33,tn)) &
668	!$ACC HOST(sums_l(:,38,tn)) &
669	!$ACC HOST(sums_l(nzb:nzb+4,pr_palm,tn), sums_l(nzb+14:nzb+14,pr_palm,tn))
670
671	!
672	!-- Computation of statistics when ws-scheme is not used. Else these
673	!-- quantities are evaluated in the advection routines.
674	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) &
675	THEN
676	!$OMP DO
677	DO i = nxl, nxr
678	DO j = nys, nyn
679	DO k = nzb, nzt+1
680	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
681
682	u2 = u(k,j,i)**2
683	v2 = v(k,j,i)**2
684	w2 = w(k,j,i)**2
685	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
686	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
687
688	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) &
689	* flag
690	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) &
691	* flag
692	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) &
693	* flag
694	!
695	!-- Perturbation energy
696
697	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5_wp * &
698	( ust2 + vst2 + w2 ) * rmask(j,i,sr) &
699	* flag
700	ENDDO
701	ENDDO
702	ENDDO
703	ENDIF
704	!
705	!-- Computaion of domain-averaged perturbation energy. Please note,
706	!-- to prevent that perturbation energy is larger (even if only slightly)
707	!-- than the total kinetic energy, calculation is based on deviations from
708	!-- the horizontal mean, instead of spatial descretization of the advection
709	!-- term.
710	!$OMP DO
711	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag, w2, ust2, vst2) &
712	!$ACC PRESENT(wall_flags_total_0, u, v, w, rmask, hom(:,1,1:2,sr)) &
713	!$ACC PRESENT(sums_l)
714	DO i = nxl, nxr
715	DO j = nys, nyn
716	DO k = nzb, nzt+1
717	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
718
719	w2 = w(k,j,i)**2
720	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
721	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
722	w2 = w(k,j,i)**2
723
724	!$ACC ATOMIC
725	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
726	+ 0.5_wp * ( ust2 + vst2 + w2 ) &
727	* rmask(j,i,sr) &
728	* flag
729	ENDDO
730	ENDDO
731	ENDDO
732	!$ACC UPDATE HOST(sums_l(nzb+5:nzb+5,pr_palm,tn))
733
734	!
735	!-- Horizontally averaged profiles of the vertical fluxes
736
737	!$OMP DO
738	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) &
739	!$ACC PRIVATE(ki, flag, ust, vst, pts) &
740	!$ACC PRESENT(kh, km, u, v, w, pt) &
741	!$ACC PRESENT(wall_flags_total_0, rmask, ddzu, rho_air_zw, hom(:,1,1:4,sr)) &
742	!$ACC PRESENT(heatflux_output_conversion, momentumflux_output_conversion) &
743	!$ACC PRESENT(surf_def_h(0:2), surf_lsm_h, surf_usm_h) &
744	!$ACC PRESENT(sums_l)
745	DO i = nxl, nxr
746	DO j = nys, nyn
747	!
748	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
749	!-- oterwise from k=nzb+1)
750	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
751	!-- ---- strictly speaking the following k-loop would have to be
752	!-- split up according to the staggered grid.
753	!-- However, this implies no error since staggered velocity
754	!-- components are zero at the walls and inside buildings.
755	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes,
756	!-- which are added further below.
757	DO k = nzb, nzt
758	flag = MERGE( 1.0_wp, 0.0_wp, &
759	BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
760	MERGE( 1.0_wp, 0.0_wp, &
761	BTEST( wall_flags_total_0(k,j,i), 9 ) )
762	!
763	!-- Momentum flux w"u"
764	!$ACC ATOMIC
765	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
766	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
767	) * ( &
768	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
769	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
770	) * rmask(j,i,sr) &
771	* rho_air_zw(k) &
772	* momentumflux_output_conversion(k) &
773	* flag
774	!
775	!-- Momentum flux w"v"
776	!$ACC ATOMIC
777	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
778	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
779	) * ( &
780	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
781	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
782	) * rmask(j,i,sr) &
783	* rho_air_zw(k) &
784	* momentumflux_output_conversion(k) &
785	* flag
786	!
787	!-- Heat flux w"pt"
788	!$ACC ATOMIC
789	sums_l(k,16,tn) = sums_l(k,16,tn) &
790	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
791	* ( pt(k+1,j,i) - pt(k,j,i) ) &
792	* rho_air_zw(k) &
793	* heatflux_output_conversion(k) &
794	* ddzu(k+1) * rmask(j,i,sr) &
795	* flag
796
797	!
798	!-- Salinity flux w"sa"
799	#ifndef _OPENACC
800	IF ( ocean_mode ) THEN
801	sums_l(k,65,tn) = sums_l(k,65,tn) &
802	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
803	* ( sa(k+1,j,i) - sa(k,j,i) ) &
804	* ddzu(k+1) * rmask(j,i,sr) &
805	* flag
806	ENDIF
807
808	!
809	!-- Buoyancy flux, water flux (humidity flux) w"q"
810	IF ( humidity ) THEN
811	sums_l(k,45,tn) = sums_l(k,45,tn) &
812	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
813	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
814	* rho_air_zw(k) &
815	* heatflux_output_conversion(k) &
816	* ddzu(k+1) * rmask(j,i,sr) * flag
817	sums_l(k,48,tn) = sums_l(k,48,tn) &
818	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
819	* ( q(k+1,j,i) - q(k,j,i) ) &
820	* rho_air_zw(k) &
821	* waterflux_output_conversion(k)&
822	* ddzu(k+1) * rmask(j,i,sr) * flag
823
824	IF ( bulk_cloud_model ) THEN
825	sums_l(k,51,tn) = sums_l(k,51,tn) &
826	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
827	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
828	- ( q(k,j,i) - ql(k,j,i) ) ) &
829	* rho_air_zw(k) &
830	* waterflux_output_conversion(k)&
831	* ddzu(k+1) * rmask(j,i,sr) * flag
832	ENDIF
833	ENDIF
834
835	!
836	!-- Passive scalar flux
837	IF ( passive_scalar ) THEN
838	sums_l(k,117,tn) = sums_l(k,117,tn) &
839	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
840	* ( s(k+1,j,i) - s(k,j,i) ) &
841	* ddzu(k+1) * rmask(j,i,sr) &
842	* flag
843	ENDIF
844	#endif
845
846	ENDDO
847
848	!
849	!-- Subgridscale fluxes in the Prandtl layer
850	IF ( use_surface_fluxes ) THEN
851	DO l = 0, 1
852	! The original code using MERGE doesn't work with the PGI
853	! compiler when running on the GPU.
854	! This is submitted as a compiler Bug in PGI ticket TPR#26718
855	! ki = MERGE( -1, 0, l == 0 )
856	ki = -1 + l
857	IF ( surf_def_h(l)%ns >= 1 ) THEN
858	DO m = surf_def_h(l)%start_index(j,i), &
859	surf_def_h(l)%end_index(j,i)
860	k = surf_def_h(l)%k(m)
861
862	!$ACC ATOMIC
863	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
864	momentumflux_output_conversion(k+ki) * &
865	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
866	!$ACC ATOMIC
867	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
868	momentumflux_output_conversion(k+ki) * &
869	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
870	!$ACC ATOMIC
871	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
872	heatflux_output_conversion(k+ki) * &
873	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
874	#if 0
875	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
876	0.0_wp * rmask(j,i,sr) ! u"pt"
877	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
878	0.0_wp * rmask(j,i,sr) ! v"pt"
879	#endif
880	#ifndef _OPENACC
881	IF ( ocean_mode ) THEN
882	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
883	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
884	ENDIF
885	IF ( humidity ) THEN
886	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
887	waterflux_output_conversion(k+ki) * &
888	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
889	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
890	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
891	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
892	surf_def_h(l)%qsws(m) ) &
893	* heatflux_output_conversion(k+ki)
894	IF ( cloud_droplets ) THEN
895	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
896	( 1.0_wp + 0.61_wp * q(k+ki,j,i) - &
897	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
898	0.61_wp * pt(k+ki,j,i) * surf_def_h(l)%qsws(m) ) &
899	* heatflux_output_conversion(k+ki)
900	ENDIF
901	IF ( bulk_cloud_model ) THEN
902	!
903	!-- Formula does not work if ql(k+ki) /= 0.0
904	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
905	waterflux_output_conversion(k+ki) * &
906	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
907	ENDIF
908	ENDIF
909	IF ( passive_scalar ) THEN
910	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
911	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
912	ENDIF
913	#endif
914
915	ENDDO
916
917	ENDIF
918	ENDDO
919	IF ( surf_lsm_h%end_index(j,i) >= &
920	surf_lsm_h%start_index(j,i) ) THEN
921	m = surf_lsm_h%start_index(j,i)
922	!$ACC ATOMIC
923	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
924	momentumflux_output_conversion(nzb) * &
925	surf_lsm_h%usws(m) * rmask(j,i,sr) ! w"u"
926	!$ACC ATOMIC
927	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
928	momentumflux_output_conversion(nzb) * &
929	surf_lsm_h%vsws(m) * rmask(j,i,sr) ! w"v"
930	!$ACC ATOMIC
931	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
932	heatflux_output_conversion(nzb) * &
933	surf_lsm_h%shf(m) * rmask(j,i,sr) ! w"pt"
934	#if 0
935	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
936	0.0_wp * rmask(j,i,sr) ! u"pt"
937	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
938	0.0_wp * rmask(j,i,sr) ! v"pt"
939	#endif
940	#ifndef _OPENACC
941	IF ( ocean_mode ) THEN
942	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
943	surf_lsm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
944	ENDIF
945	IF ( humidity ) THEN
946	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
947	waterflux_output_conversion(nzb) * &
948	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
949	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
950	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
951	surf_lsm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
952	surf_lsm_h%qsws(m) ) &
953	* heatflux_output_conversion(nzb)
954	IF ( cloud_droplets ) THEN
955	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
956	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
957	ql(nzb,j,i) ) * surf_lsm_h%shf(m) + &
958	0.61_wp * pt(nzb,j,i) * surf_lsm_h%qsws(m) ) &
959	* heatflux_output_conversion(nzb)
960	ENDIF
961	IF ( bulk_cloud_model ) THEN
962	!
963	!-- Formula does not work if ql(nzb) /= 0.0
964	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
965	waterflux_output_conversion(nzb) * &
966	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
967	ENDIF
968	ENDIF
969	IF ( passive_scalar ) THEN
970	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
971	surf_lsm_h%ssws(m) * rmask(j,i,sr) ! w"s"
972	ENDIF
973	#endif
974
975	ENDIF
976	IF ( surf_usm_h%end_index(j,i) >= &
977	surf_usm_h%start_index(j,i) ) THEN
978	m = surf_usm_h%start_index(j,i)
979	!$ACC ATOMIC
980	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
981	momentumflux_output_conversion(nzb) * &
982	surf_usm_h%usws(m) * rmask(j,i,sr) ! w"u"
983	!$ACC ATOMIC
984	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
985	momentumflux_output_conversion(nzb) * &
986	surf_usm_h%vsws(m) * rmask(j,i,sr) ! w"v"
987	!$ACC ATOMIC
988	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
989	heatflux_output_conversion(nzb) * &
990	surf_usm_h%shf(m) * rmask(j,i,sr) ! w"pt"
991	#if 0
992	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
993	0.0_wp * rmask(j,i,sr) ! u"pt"
994	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
995	0.0_wp * rmask(j,i,sr) ! v"pt"
996	#endif
997	#ifndef _OPENACC
998	IF ( ocean_mode ) THEN
999	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1000	surf_usm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
1001	ENDIF
1002	IF ( humidity ) THEN
1003	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1004	waterflux_output_conversion(nzb) * &
1005	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1006	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1007	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1008	surf_usm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1009	surf_usm_h%qsws(m) ) &
1010	* heatflux_output_conversion(nzb)
1011	IF ( cloud_droplets ) THEN
1012	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1013	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1014	ql(nzb,j,i) ) * surf_usm_h%shf(m) + &
1015	0.61_wp * pt(nzb,j,i) * surf_usm_h%qsws(m) ) &
1016	* heatflux_output_conversion(nzb)
1017	ENDIF
1018	IF ( bulk_cloud_model ) THEN
1019	!
1020	!-- Formula does not work if ql(nzb) /= 0.0
1021	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1022	waterflux_output_conversion(nzb) * &
1023	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1024	ENDIF
1025	ENDIF
1026	IF ( passive_scalar ) THEN
1027	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1028	surf_usm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1029	ENDIF
1030	#endif
1031
1032	ENDIF
1033
1034	ENDIF
1035
1036	#ifndef _OPENACC
1037	IF ( .NOT. neutral ) THEN
1038	IF ( surf_def_h(0)%end_index(j,i) >= &
1039	surf_def_h(0)%start_index(j,i) ) THEN
1040	m = surf_def_h(0)%start_index(j,i)
1041	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1042	surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1043	ENDIF
1044	IF ( surf_lsm_h%end_index(j,i) >= &
1045	surf_lsm_h%start_index(j,i) ) THEN
1046	m = surf_lsm_h%start_index(j,i)
1047	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1048	surf_lsm_h%ol(m) * rmask(j,i,sr) ! L
1049	ENDIF
1050	IF ( surf_usm_h%end_index(j,i) >= &
1051	surf_usm_h%start_index(j,i) ) THEN
1052	m = surf_usm_h%start_index(j,i)
1053	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1054	surf_usm_h%ol(m) * rmask(j,i,sr) ! L
1055	ENDIF
1056	ENDIF
1057
1058	IF ( radiation ) THEN
1059	IF ( surf_def_h(0)%end_index(j,i) >= &
1060	surf_def_h(0)%start_index(j,i) ) THEN
1061	m = surf_def_h(0)%start_index(j,i)
1062	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1063	surf_def_h(0)%rad_net(m) * rmask(j,i,sr)
1064	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1065	surf_def_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1066	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1067	surf_def_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1068	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1069	surf_def_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1070	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1071	surf_def_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1072	ENDIF
1073	IF ( surf_lsm_h%end_index(j,i) >= &
1074	surf_lsm_h%start_index(j,i) ) THEN
1075	m = surf_lsm_h%start_index(j,i)
1076	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1077	surf_lsm_h%rad_net(m) * rmask(j,i,sr)
1078	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1079	surf_lsm_h%rad_lw_in(m) * rmask(j,i,sr)
1080	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1081	surf_lsm_h%rad_lw_out(m) * rmask(j,i,sr)
1082	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1083	surf_lsm_h%rad_sw_in(m) * rmask(j,i,sr)
1084	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1085	surf_lsm_h%rad_sw_out(m) * rmask(j,i,sr)
1086	ENDIF
1087	IF ( surf_usm_h%end_index(j,i) >= &
1088	surf_usm_h%start_index(j,i) ) THEN
1089	m = surf_usm_h%start_index(j,i)
1090	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1091	surf_usm_h%rad_net(m) * rmask(j,i,sr)
1092	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1093	surf_usm_h%rad_lw_in(m) * rmask(j,i,sr)
1094	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1095	surf_usm_h%rad_lw_out(m) * rmask(j,i,sr)
1096	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1097	surf_usm_h%rad_sw_in(m) * rmask(j,i,sr)
1098	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1099	surf_usm_h%rad_sw_out(m) * rmask(j,i,sr)
1100	ENDIF
1101
1102	#if defined ( __rrtmg )
1103	IF ( radiation_scheme == 'rrtmg' ) THEN
1104
1105	IF ( surf_def_h(0)%end_index(j,i) >= &
1106	surf_def_h(0)%start_index(j,i) ) THEN
1107	m = surf_def_h(0)%start_index(j,i)
1108	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1109	surf_def_h(0)%rrtm_aldif(m,0) * rmask(j,i,sr)
1110	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1111	surf_def_h(0)%rrtm_aldir(m,0) * rmask(j,i,sr)
1112	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1113	surf_def_h(0)%rrtm_asdif(m,0) * rmask(j,i,sr)
1114	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1115	surf_def_h(0)%rrtm_asdir(m,0) * rmask(j,i,sr)
1116	ENDIF
1117	IF ( surf_lsm_h%end_index(j,i) >= &
1118	surf_lsm_h%start_index(j,i) ) THEN
1119	m = surf_lsm_h%start_index(j,i)
1120	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1121	SUM( surf_lsm_h%frac(m,:) * &
1122	surf_lsm_h%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1123	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1124	SUM( surf_lsm_h%frac(m,:) * &
1125	surf_lsm_h%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1126	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1127	SUM( surf_lsm_h%frac(m,:) * &
1128	surf_lsm_h%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1129	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1130	SUM( surf_lsm_h%frac(m,:) * &
1131	surf_lsm_h%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1132	ENDIF
1133	IF ( surf_usm_h%end_index(j,i) >= &
1134	surf_usm_h%start_index(j,i) ) THEN
1135	m = surf_usm_h%start_index(j,i)
1136	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1137	SUM( surf_usm_h%frac(m,:) * &
1138	surf_usm_h%rrtm_aldif(m,:) ) * rmask(j,i,sr)
1139	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1140	SUM( surf_usm_h%frac(m,:) * &
1141	surf_usm_h%rrtm_aldir(m,:) ) * rmask(j,i,sr)
1142	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1143	SUM( surf_usm_h%frac(m,:) * &
1144	surf_usm_h%rrtm_asdif(m,:) ) * rmask(j,i,sr)
1145	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1146	SUM( surf_usm_h%frac(m,:) * &
1147	surf_usm_h%rrtm_asdir(m,:) ) * rmask(j,i,sr)
1148	ENDIF
1149
1150	ENDIF
1151	#endif
1152	ENDIF
1153	#endif
1154	!
1155	!-- Subgridscale fluxes at the top surface
1156	IF ( use_top_fluxes ) THEN
1157	m = surf_def_h(2)%start_index(j,i)
1158	!$ACC ATOMIC
1159	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
1160	momentumflux_output_conversion(nzt) * &
1161	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1162	!$ACC ATOMIC
1163	sums_l(nzt+1,12,tn) = sums_l(nzt+1,12,tn) + &
1164	momentumflux_output_conversion(nzt+1) * &
1165	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1166	!$ACC ATOMIC
1167	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
1168	momentumflux_output_conversion(nzt) * &
1169	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1170	!$ACC ATOMIC
1171	sums_l(nzt+1,14,tn) = sums_l(nzt+1,14,tn) + &
1172	momentumflux_output_conversion(nzt+1) * &
1173	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1174	!$ACC ATOMIC
1175	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
1176	heatflux_output_conversion(nzt) * &
1177	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1178	!$ACC ATOMIC
1179	sums_l(nzt+1,16,tn) = sums_l(nzt+1,16,tn) + &
1180	heatflux_output_conversion(nzt+1) * &
1181	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1182	#if 0
1183	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1184	0.0_wp * rmask(j,i,sr) ! u"pt"
1185	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1186	0.0_wp * rmask(j,i,sr) ! v"pt"
1187	#endif
1188	#ifndef _OPENACC
1189	IF ( ocean_mode ) THEN
1190	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1191	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1192	ENDIF
1193	IF ( humidity ) THEN
1194	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1195	waterflux_output_conversion(nzt) * &
1196	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1197	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1198	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
1199	surf_def_h(2)%shf(m) + &
1200	0.61_wp * pt(nzt,j,i) * &
1201	surf_def_h(2)%qsws(m) ) &
1202	* heatflux_output_conversion(nzt)
1203	IF ( cloud_droplets ) THEN
1204	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1205	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1206	ql(nzt,j,i) ) * &
1207	surf_def_h(2)%shf(m) + &
1208	0.61_wp * pt(nzt,j,i) * &
1209	surf_def_h(2)%qsws(m) )&
1210	* heatflux_output_conversion(nzt)
1211	ENDIF
1212	IF ( bulk_cloud_model ) THEN
1213	!
1214	!-- Formula does not work if ql(nzb) /= 0.0
1215	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1216	waterflux_output_conversion(nzt) * &
1217	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1218	ENDIF
1219	ENDIF
1220	IF ( passive_scalar ) THEN
1221	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1222	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1223	ENDIF
1224	#endif
1225	ENDIF
1226
1227	!
1228	!-- Resolved fluxes (can be computed for all horizontal points)
1229	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
1230	!-- ---- speaking the following k-loop would have to be split up and
1231	!-- rearranged according to the staggered grid.
1232	DO k = nzb, nzt
1233	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
1234	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1235	u(k+1,j,i) - hom(k+1,1,1,sr) )
1236	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1237	v(k+1,j,i) - hom(k+1,1,2,sr) )
1238	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1239	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1240
1241	!-- Higher moments
1242	!$ACC ATOMIC
1243	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
1244	rmask(j,i,sr) * flag
1245	!$ACC ATOMIC
1246	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
1247	rmask(j,i,sr) * flag
1248
1249	!
1250	!-- Salinity flux and density (density does not belong to here,
1251	!-- but so far there is no other suitable place to calculate)
1252	#ifndef _OPENACC
1253	IF ( ocean_mode ) THEN
1254	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1255	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1256	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1257	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1258	rmask(j,i,sr) * flag
1259	ENDIF
1260	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * &
1261	rmask(j,i,sr) * flag
1262	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
1263	rmask(j,i,sr) * flag
1264	ENDIF
1265
1266	!
1267	!-- Buoyancy flux, water flux, humidity flux, liquid water
1268	!-- content, rain drop concentration and rain water content
1269	IF ( humidity ) THEN
1270	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
1271	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1272	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1273	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1274	rho_air_zw(k) * &
1275	heatflux_output_conversion(k) * &
1276	rmask(j,i,sr) * flag
1277	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) &
1278	* flag
1279
1280	IF ( .NOT. cloud_droplets ) THEN
1281	pts = 0.5_wp * &
1282	( ( q(k,j,i) - ql(k,j,i) ) - &
1283	hom(k,1,42,sr) + &
1284	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1285	hom(k+1,1,42,sr) )
1286	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1287	rho_air_zw(k) * &
1288	waterflux_output_conversion(k) * &
1289	rmask(j,i,sr) * &
1290	flag
1291	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
1292	rmask(j,i,sr) * &
1293	flag
1294	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * &
1295	rmask(j,i,sr) * &
1296	flag
1297	IF ( microphysics_morrison ) THEN
1298	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * &
1299	rmask(j,i,sr) *&
1300	flag
1301	ENDIF
1302	IF ( microphysics_seifert ) THEN
1303	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
1304	rmask(j,i,sr) *&
1305	flag
1306	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
1307	rmask(j,i,sr) *&
1308	flag
1309	ENDIF
1310	ENDIF
1311
1312	ELSE
1313	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1314	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1315	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1316	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1317	rho_air_zw(k) * &
1318	heatflux_output_conversion(k) * &
1319	rmask(j,i,sr) * &
1320	flag
1321	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1322	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1323	hom(k,1,41,sr) ) * &
1324	sums_l(k,17,tn) + &
1325	0.61_wp * hom(k,1,4,sr) * &
1326	sums_l(k,49,tn) &
1327	) * heatflux_output_conversion(k) * &
1328	flag
1329	END IF
1330	END IF
1331	ENDIF
1332	!
1333	!-- Passive scalar flux
1334	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
1335	.OR. sr /= 0 ) ) THEN
1336	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1337	s(k+1,j,i) - hom(k+1,1,115,sr) )
1338	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1339	rmask(j,i,sr) * flag
1340	ENDIF
1341	#endif
1342
1343	!
1344	!-- Energy flux we
1345	!-- has to be adjusted
1346	!$ACC ATOMIC
1347	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1348	( ust2 + vst2 + w(k,j,i)**2 ) &
1349	* rho_air_zw(k) &
1350	* momentumflux_output_conversion(k) &
1351	* rmask(j,i,sr) * flag
1352	ENDDO
1353	ENDDO
1354	ENDDO
1355	!$OMP END PARALLEL
1356
1357	!$ACC UPDATE &
1358	!$ACC HOST(sums_l(:,12,tn), sums_l(:,14,tn), sums_l(:,16,tn)) &
1359	!$ACC HOST(sums_l(:,35,tn), sums_l(:,36,tn), sums_l(:,37,tn))
1360	!
1361	!-- Treat land-surface quantities according to new wall model structure.
1362	IF ( land_surface ) THEN
1363	tn = 0
1364	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1365	!$ tn = omp_get_thread_num()
1366	!$OMP DO
1367	DO m = 1, surf_lsm_h%ns
1368	i = surf_lsm_h%i(m)
1369	j = surf_lsm_h%j(m)
1370
1371	IF ( i >= nxl .AND. i <= nxr .AND. &
1372	j >= nys .AND. j <= nyn ) THEN
1373	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h%ghf(m)
1374	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h%qsws_liq(m)
1375	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h%qsws_soil(m)
1376	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h%qsws_veg(m)
1377	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h%r_a(m)
1378	sums_l(nzb,98,tn) = sums_l(nzb,98,tn)+ surf_lsm_h%r_s(m)
1379	ENDIF
1380	ENDDO
1381	!$OMP END PARALLEL
1382
1383	tn = 0
1384	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1385	!$ tn = omp_get_thread_num()
1386	!$OMP DO
1387	DO m = 1, surf_lsm_h%ns
1388
1389	i = surf_lsm_h%i(m)
1390	j = surf_lsm_h%j(m)
1391
1392	IF ( i >= nxl .AND. i <= nxr .AND. &
1393	j >= nys .AND. j <= nyn ) THEN
1394
1395	DO k = nzb_soil, nzt_soil
1396	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h%var_2d(k,m) &
1397	* rmask(j,i,sr)
1398	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h%var_2d(k,m) &
1399	* rmask(j,i,sr)
1400	ENDDO
1401	ENDIF
1402	ENDDO
1403	!$OMP END PARALLEL
1404	ENDIF
1405	!
1406	!-- For speed optimization fluxes which have been computed in part directly
1407	!-- inside the WS advection routines are treated seperatly
1408	!-- Momentum fluxes first:
1409
1410	tn = 0
1411	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
1412	!$ tn = omp_get_thread_num()
1413	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1414	!$OMP DO
1415	DO i = nxl, nxr
1416	DO j = nys, nyn
1417	DO k = nzb, nzt
1418	!
1419	!-- Flag 23 is used to mask surface fluxes as well as model-top
1420	!-- fluxes, which are added further below.
1421	flag = MERGE( 1.0_wp, 0.0_wp, &
1422	BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1423	MERGE( 1.0_wp, 0.0_wp, &
1424	BTEST( wall_flags_total_0(k,j,i), 9 ) )
1425
1426	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1427	u(k+1,j,i) - hom(k+1,1,1,sr) )
1428	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1429	v(k+1,j,i) - hom(k+1,1,2,sr) )
1430	!
1431	!-- Momentum flux wu
1432	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
1433	( w(k,j,i-1) + w(k,j,i) ) &
1434	* rho_air_zw(k) &
1435	* momentumflux_output_conversion(k) &
1436	* ust * rmask(j,i,sr) &
1437	* flag
1438	!
1439	!-- Momentum flux wv
1440	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * &
1441	( w(k,j-1,i) + w(k,j,i) ) &
1442	* rho_air_zw(k) &
1443	* momentumflux_output_conversion(k) &
1444	* vst * rmask(j,i,sr) &
1445	* flag
1446	ENDDO
1447	ENDDO
1448	ENDDO
1449
1450	ENDIF
1451	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1452	!$OMP DO
1453	DO i = nxl, nxr
1454	DO j = nys, nyn
1455	DO k = nzb, nzt
1456	flag = MERGE( 1.0_wp, 0.0_wp, &
1457	BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1458	MERGE( 1.0_wp, 0.0_wp, &
1459	BTEST( wall_flags_total_0(k,j,i), 9 ) )
1460	!
1461	!-- Vertical heat flux
1462	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1463	( pt(k,j,i) - hom(k,1,4,sr) + &
1464	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1465	* rho_air_zw(k) &
1466	* heatflux_output_conversion(k) &
1467	* w(k,j,i) * rmask(j,i,sr) * flag
1468	IF ( humidity ) THEN
1469	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1470	q(k+1,j,i) - hom(k+1,1,41,sr) )
1471	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1472	rho_air_zw(k) * &
1473	waterflux_output_conversion(k) * &
1474	rmask(j,i,sr) * flag
1475	ENDIF
1476	IF ( passive_scalar ) THEN
1477	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1478	s(k+1,j,i) - hom(k+1,1,115,sr) )
1479	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1480	rmask(j,i,sr) * flag
1481	ENDIF
1482	ENDDO
1483	ENDDO
1484	ENDDO
1485
1486	ENDIF
1487
1488	!
1489	!-- Density at top follows Neumann condition
1490	IF ( ocean_mode ) THEN
1491	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1492	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1493	ENDIF
1494
1495	!
1496	!-- Divergence of vertical flux of resolved scale energy and pressure
1497	!-- fluctuations as well as flux of pressure fluctuation itself (68).
1498	!-- First calculate the products, then the divergence.
1499	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1500	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) &
1501	THEN
1502	sums_ll = 0.0_wp ! local array
1503
1504	!$OMP DO
1505	DO i = nxl, nxr
1506	DO j = nys, nyn
1507	DO k = nzb+1, nzt
1508	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1509
1510	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1511	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1512	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2&
1513	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1514	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2&
1515	+ w(k,j,i)*2 ) flag
1516
1517	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1518	* ( ( p(k,j,i) + p(k+1,j,i) ) &
1519	/ momentumflux_output_conversion(k) ) &
1520	* flag
1521
1522	ENDDO
1523	ENDDO
1524	ENDDO
1525	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1526	sums_ll(nzt+1,1) = 0.0_wp
1527	sums_ll(0,2) = 0.0_wp
1528	sums_ll(nzt+1,2) = 0.0_wp
1529
1530	DO k = nzb+1, nzt
1531	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1532	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1533	sums_l(k,68,tn) = sums_ll(k,2)
1534	ENDDO
1535	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1536	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1537	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1538
1539	ENDIF
1540
1541	!
1542	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1543	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) &
1544	THEN
1545	!$OMP DO
1546	DO i = nxl, nxr
1547	DO j = nys, nyn
1548	DO k = nzb+1, nzt
1549
1550	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1551
1552	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1553	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1554	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1555	) * ddzw(k) &
1556	* flag
1557
1558	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1559	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1560	) * flag
1561
1562	ENDDO
1563	ENDDO
1564	ENDDO
1565	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1566	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1567
1568	ENDIF
1569
1570	!
1571	!-- Horizontal heat fluxes (subgrid, resolved, total).
1572	!-- Do it only, if profiles shall be plotted.
1573	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1574
1575	!$OMP DO
1576	DO i = nxl, nxr
1577	DO j = nys, nyn
1578	DO k = nzb+1, nzt
1579	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1580	!
1581	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1582	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1583	( kh(k,j,i) + kh(k,j,i-1) ) &
1584	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1585	* rho_air_zw(k) &
1586	* heatflux_output_conversion(k) &
1587	* ddx * rmask(j,i,sr) * flag
1588	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1589	( kh(k,j,i) + kh(k,j-1,i) ) &
1590	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1591	* rho_air_zw(k) &
1592	* heatflux_output_conversion(k) &
1593	* ddy * rmask(j,i,sr) * flag
1594	!
1595	!-- Resolved horizontal heat fluxes upt, vpt
1596	sums_l(k,59,tn) = sums_l(k,59,tn) + &
1597	( u(k,j,i) - hom(k,1,1,sr) ) &
1598	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1599	pt(k,j,i) - hom(k,1,4,sr) ) &
1600	* heatflux_output_conversion(k) &
1601	* flag
1602	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1603	pt(k,j,i) - hom(k,1,4,sr) )
1604	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1605	( v(k,j,i) - hom(k,1,2,sr) ) &
1606	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1607	pt(k,j,i) - hom(k,1,4,sr) ) &
1608	* heatflux_output_conversion(k) &
1609	* flag
1610	ENDDO
1611	ENDDO
1612	ENDDO
1613	!
1614	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1615	sums_l(nzb,58,tn) = 0.0_wp
1616	sums_l(nzb,59,tn) = 0.0_wp
1617	sums_l(nzb,60,tn) = 0.0_wp
1618	sums_l(nzb,61,tn) = 0.0_wp
1619	sums_l(nzb,62,tn) = 0.0_wp
1620	sums_l(nzb,63,tn) = 0.0_wp
1621
1622	ENDIF
1623	!$OMP END PARALLEL
1624
1625	!
1626	!-- Collect current large scale advection and subsidence tendencies for
1627	!-- data output
1628	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1629	!
1630	!-- Interpolation in time of LSF_DATA
1631	nt = 1
1632	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1633	nt = nt + 1
1634	ENDDO
1635	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1636	nt = nt - 1
1637	ENDIF
1638
1639	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
1640	/ ( time_vert(nt+1)-time_vert(nt) )
1641
1642
1643	DO k = nzb, nzt
1644	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
1645	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1646	sums_ls_l(k,1) = td_lsa_q(k,nt) &
1647	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1648	ENDDO
1649
1650	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1651	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1652
1653	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1654
1655	DO k = nzb, nzt
1656	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
1657	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1658	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
1659	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1660	ENDDO
1661
1662	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1663	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1664
1665	ENDIF
1666
1667	ENDIF
1668
1669	tn = 0
1670	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1671	!$ tn = omp_get_thread_num()
1672	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1673	!$OMP DO
1674	DO i = nxl, nxr
1675	DO j = nys, nyn
1676	DO k = nzb+1, nzt+1
1677	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1678
1679	sums_l(k,100,tn) = sums_l(k,100,tn) + rad_lw_in(k,j,i) &
1680	* rmask(j,i,sr) * flag
1681	sums_l(k,101,tn) = sums_l(k,101,tn) + rad_lw_out(k,j,i) &
1682	* rmask(j,i,sr) * flag
1683	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_sw_in(k,j,i) &
1684	* rmask(j,i,sr) * flag
1685	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_sw_out(k,j,i) &
1686	* rmask(j,i,sr) * flag
1687	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_lw_cs_hr(k,j,i) &
1688	* rmask(j,i,sr) * flag
1689	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_lw_hr(k,j,i) &
1690	* rmask(j,i,sr) * flag
1691	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_sw_cs_hr(k,j,i) &
1692	* rmask(j,i,sr) * flag
1693	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_sw_hr(k,j,i) &
1694	* rmask(j,i,sr) * flag
1695	ENDDO
1696	ENDDO
1697	ENDDO
1698	ENDIF
1699
1700	!
1701	!-- Calculate the profiles for all other modules
1702	CALL module_interface_statistics( 'profiles', sr, tn, dots_max )
1703	!$OMP END PARALLEL
1704
1705	!
1706	!-- Summation of thread sums
1707	IF ( threads_per_task > 1 ) THEN
1708	DO i = 1, threads_per_task-1
1709	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1710	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1711	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1712	sums_l(:,45:pr_palm,i)
1713	IF ( max_pr_user > 0 ) THEN
1714	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1715	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1716	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1717	ENDIF
1718
1719	IF ( air_chemistry ) THEN
1720	IF ( max_pr_cs > 0 ) THEN
1721	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+ max_pr_cs,0) = &
1722	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,0) + &
1723	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,i)
1724
1725	ENDIF
1726	ENDIF
1727	IF ( salsa ) THEN
1728	IF ( max_pr_cs > 0 ) THEN
1729	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) = &
1730	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) + &
1731	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,i)
1732
1733	ENDIF
1734	ENDIF
1735	ENDDO
1736	ENDIF
1737
1738	#if defined( __parallel )
1739
1740	!
1741	!-- Compute total sum from local sums
1742	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1743	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1744	MPI_SUM, comm2d, ierr )
1745	IF ( large_scale_forcing ) THEN
1746	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
1747	MPI_REAL, MPI_SUM, comm2d, ierr )
1748	ENDIF
1749
1750	IF ( air_chemistry .AND. max_pr_cs > 0 ) THEN
1751	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1752	DO i = 1, max_pr_cs
1753	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+i,0), &
1754	sums(nzb,pr_palm+max_pr_user+i), &
1755	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1756	ENDDO
1757	ENDIF
1758
1759	IF ( salsa .AND. max_pr_salsa > 0 ) THEN
1760	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1761	DO i = 1, max_pr_salsa
1762	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+max_pr_cs+i,0), &
1763	sums(nzb,pr_palm+max_pr_user+max_pr_user+i), &
1764	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1765	ENDDO
1766	ENDIF
1767
1768	#else
1769	sums = sums_l(:,:,0)
1770	IF ( large_scale_forcing ) THEN
1771	sums(:,81:88) = sums_ls_l
1772	ENDIF
1773	#endif
1774
1775	!
1776	!-- Final values are obtained by division by the total number of grid points
1777	!-- used for summation. After that store profiles.
1778	!-- Check, if statistical regions do contain at least one grid point at the
1779	!-- respective k-level, otherwise division by zero will lead to undefined
1780	!-- values, which may cause e.g. problems with NetCDF output
1781	!-- Profiles:
1782	DO k = nzb, nzt+1
1783	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1784	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1785	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1786	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1787	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1788	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1789	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1790	sums(k,89:112) = sums(k,89:112) / ngp_2dh(sr)
1791	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1792	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1793	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1794	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1795	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1796	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1797	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1798	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1799	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1800	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1801	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1802	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1803	sums(k,123) = sums(k,123) * ngp_2dh_s_inner(k,sr) / ngp_2dh(sr)
1804	ENDIF
1805	ENDDO
1806
1807	!-- u* and so on
1808	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1809	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1810	!-- above the topography, they are being divided by ngp_2dh(sr)
1811	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1812	ngp_2dh(sr)
1813	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1814	ngp_2dh(sr)
1815	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / & ! ss
1816	ngp_2dh(sr)
1817	sums(nzb+14,pr_palm) = sums(nzb+14,pr_palm) / & ! surface temperature
1818	ngp_2dh(sr)
1819	!-- eges, e*
1820	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1821	ngp_3d(sr)
1822	!-- Old and new divergence
1823	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1824	ngp_3d_inner(sr)
1825
1826	!-- User-defined profiles
1827	IF ( max_pr_user > 0 ) THEN
1828	DO k = nzb, nzt+1
1829	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1830	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1831	ngp_2dh_s_inner(k,sr)
1832	ENDDO
1833	ENDIF
1834
1835	IF ( air_chemistry ) THEN
1836	IF ( max_pr_cs > 0 ) THEN
1837	DO k = nzb, nzt+1
1838	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) = &
1839	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) / &
1840	ngp_2dh_s_inner(k,sr)
1841	ENDDO
1842	ENDIF
1843	ENDIF
1844
1845	IF ( salsa ) THEN
1846	IF ( max_pr_salsa > 0 ) THEN
1847	DO k = nzb, nzt+1
1848	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) = &
1849	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) &
1850	/ ngp_2dh_s_inner(k,sr)
1851	ENDDO
1852	ENDIF
1853	ENDIF
1854
1855	!
1856	!-- Collect horizontal average in hom.
1857	!-- Compute deduced averages (e.g. total heat flux)
1858	hom(:,1,3,sr) = sums(:,3) ! w
1859	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1860	hom(:,1,9,sr) = sums(:,9) ! km
1861	hom(:,1,10,sr) = sums(:,10) ! kh
1862	hom(:,1,11,sr) = sums(:,11) ! l
1863	hom(:,1,12,sr) = sums(:,12) ! w"u"
1864	hom(:,1,13,sr) = sums(:,13) ! wu
1865	hom(:,1,14,sr) = sums(:,14) ! w"v"
1866	hom(:,1,15,sr) = sums(:,15) ! wv
1867	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1868	hom(:,1,17,sr) = sums(:,17) ! wpt
1869	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1870	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1871	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1872	hom(:,1,21,sr) = sums(:,21) ! wptBC
1873	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1874	! profile 24 is initial profile (sa)
1875	! profiles 25-29 left empty for initial
1876	! profiles
1877	hom(:,1,30,sr) = sums(:,30) ! u*2
1878	hom(:,1,31,sr) = sums(:,31) ! v*2
1879	hom(:,1,32,sr) = sums(:,32) ! w*2
1880	hom(:,1,33,sr) = sums(:,33) ! pt*2
1881	hom(:,1,34,sr) = sums(:,34) ! e*
1882	hom(:,1,35,sr) = sums(:,35) ! w2pt
1883	hom(:,1,36,sr) = sums(:,36) ! wpt2
1884	hom(:,1,37,sr) = sums(:,37) ! we
1885	hom(:,1,38,sr) = sums(:,38) ! w*3
1886	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1887	hom(:,1,40,sr) = sums(:,40) ! p
1888	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1889	hom(:,1,46,sr) = sums(:,46) ! wvpt
1890	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1891	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1892	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1893	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1894	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1895	hom(:,1,52,sr) = sums(:,52) ! wqv
1896	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1897	hom(:,1,54,sr) = sums(:,54) ! ql
1898	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1899	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1900	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
1901	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1902	hom(:,1,59,sr) = sums(:,59) ! upt
1903	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1904	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1905	hom(:,1,62,sr) = sums(:,62) ! vpt
1906	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1907	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
1908	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1909	hom(:,1,66,sr) = sums(:,66) ! wsa
1910	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1911	hom(:,1,68,sr) = sums(:,68) ! wp
1912	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
1913	hom(:,1,70,sr) = sums(:,70) ! q*2
1914	hom(:,1,71,sr) = sums(:,71) ! prho
1915	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
1916	hom(:,1,123,sr) = sums(:,123) ! nc
1917	hom(:,1,73,sr) = sums(:,73) ! nr
1918	hom(:,1,74,sr) = sums(:,74) ! qr
1919	hom(:,1,75,sr) = sums(:,75) ! qc
1920	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1921	! 77 is initial density profile
1922	hom(:,1,78,sr) = ug ! ug
1923	hom(:,1,79,sr) = vg ! vg
1924	hom(:,1,80,sr) = w_subs ! w_subs
1925
1926	IF ( large_scale_forcing ) THEN
1927	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1928	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1929	IF ( use_subsidence_tendencies ) THEN
1930	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1931	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1932	ELSE
1933	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1934	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1935	ENDIF
1936	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1937	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1938	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1939	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1940	ENDIF
1941
1942	IF ( land_surface ) THEN
1943	hom(:,1,89,sr) = sums(:,89) ! t_soil
1944	! 90 is initial t_soil profile
1945	hom(:,1,91,sr) = sums(:,91) ! m_soil
1946	! 92 is initial m_soil profile
1947	hom(:,1,93,sr) = sums(:,93) ! ghf
1948	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
1949	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
1950	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
1951	hom(:,1,97,sr) = sums(:,97) ! r_a
1952	hom(:,1,98,sr) = sums(:,98) ! r_s
1953
1954	ENDIF
1955
1956	IF ( radiation ) THEN
1957	hom(:,1,99,sr) = sums(:,99) ! rad_net
1958	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
1959	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
1960	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
1961	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
1962
1963	IF ( radiation_scheme == 'rrtmg' ) THEN
1964	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
1965	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
1966	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
1967	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
1968
1969	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
1970	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
1971	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
1972	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
1973	ENDIF
1974	ENDIF
1975
1976	hom(:,1,112,sr) = sums(:,112) !: L
1977
1978	IF ( passive_scalar ) THEN
1979	hom(:,1,117,sr) = sums(:,117) ! w"s"
1980	hom(:,1,114,sr) = sums(:,114) ! ws
1981	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
1982	hom(:,1,116,sr) = sums(:,116) ! s*2
1983	ENDIF
1984
1985	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
1986	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
1987
1988	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
1989	! u, w'u', w'v', t (in last profile)
1990
1991	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
1992	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
1993	sums(:,pr_palm+1:pr_palm+max_pr_user)
1994	ENDIF
1995
1996	IF ( air_chemistry ) THEN
1997	IF ( max_pr_cs > 0 ) THEN ! chem_spcs profiles
1998	hom(:, 1, pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs, sr) = &
1999	sums(:, pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs)
2000	ENDIF
2001	ENDIF
2002
2003	IF ( salsa ) THEN
2004	IF ( max_pr_salsa > 0 ) THEN ! salsa profiles
2005	hom(:,1,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa, sr) = &
2006	sums(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa)
2007	ENDIF
2008	ENDIF
2009	!
2010	!-- Determine the boundary layer height using two different schemes.
2011	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
2012	!-- first relative minimum (maximum) of the total heat flux.
2013	!-- The corresponding height is assumed as the boundary layer height, if it
2014	!-- is less than 1.5 times the height where the heat flux becomes negative
2015	!-- (positive) for the first time. Attention: the resolved vertical sensible
2016	!-- heat flux (hom(:,1,17,sr) = wpt) is not known at the beginning because
2017	!-- the calculation happens in advec_s_ws which is called after
2018	!-- flow_statistics. Therefore z_i is directly taken from restart data at
2019	!-- the beginning of restart runs.
2020	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .OR. &
2021	simulated_time_at_begin /= simulated_time ) THEN
2022
2023	z_i(1) = 0.0_wp
2024	first = .TRUE.
2025
2026	IF ( ocean_mode ) THEN
2027	DO k = nzt, nzb+1, -1
2028	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2029	first = .FALSE.
2030	height = zw(k)
2031	ENDIF
2032	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2033	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2034	IF ( zw(k) < 1.5_wp * height ) THEN
2035	z_i(1) = zw(k)
2036	ELSE
2037	z_i(1) = height
2038	ENDIF
2039	EXIT
2040	ENDIF
2041	ENDDO
2042	ELSE
2043	DO k = nzb, nzt-1
2044	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2045	first = .FALSE.
2046	height = zw(k)
2047	ENDIF
2048	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2049	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2050	IF ( zw(k) < 1.5_wp * height ) THEN
2051	z_i(1) = zw(k)
2052	ELSE
2053	z_i(1) = height
2054	ENDIF
2055	EXIT
2056	ENDIF
2057	ENDDO
2058	ENDIF
2059
2060	!
2061	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
2062	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
2063	!-- maximal local temperature gradient: starting from the second (the
2064	!-- last but one) vertical gridpoint, the local gradient must be at least
2065	!-- 0.2K/100m and greater than the next four gradients.
2066	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2067	!-- ocean case!
2068	z_i(2) = 0.0_wp
2069	DO k = nzb+1, nzt+1
2070	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2071	ENDDO
2072	dptdz_threshold = 0.2_wp / 100.0_wp
2073
2074	IF ( ocean_mode ) THEN
2075	DO k = nzt+1, nzb+5, -1
2076	IF ( dptdz(k) > dptdz_threshold .AND. &
2077	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND.&
2078	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2079	z_i(2) = zw(k-1)
2080	EXIT
2081	ENDIF
2082	ENDDO
2083	ELSE
2084	DO k = nzb+1, nzt-3
2085	IF ( dptdz(k) > dptdz_threshold .AND. &
2086	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND.&
2087	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2088	z_i(2) = zw(k-1)
2089	EXIT
2090	ENDIF
2091	ENDDO
2092	ENDIF
2093
2094	ENDIF
2095
2096	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2097	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2098
2099	!
2100	!-- Determine vertical index which is nearest to the mean surface level
2101	!-- height of the respective statistic region
2102	DO k = nzb, nzt
2103	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
2104	k_surface_level = k
2105	EXIT
2106	ENDIF
2107	ENDDO
2108
2109	!
2110	!-- Computation of both the characteristic vertical velocity and
2111	!-- the characteristic convective boundary layer temperature.
2112	!-- The inversion height entering into the equation is defined with respect
2113	!-- to the mean surface level height of the respective statistic region.
2114	!-- The horizontal average at surface level index + 1 is input for the
2115	!-- average temperature.
2116	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp )&
2117	THEN
2118	hom(nzb+8,1,pr_palm,sr) = &
2119	( g / hom(k_surface_level+1,1,4,sr) * &
2120	( hom(k_surface_level,1,18,sr) / &
2121	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
2122	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
2123	ELSE
2124	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
2125	ENDIF
2126
2127	!
2128	!-- Collect the time series quantities. Please note, timeseries quantities
2129	!-- which are collected from horizontally averaged profiles, e.g. wpt
2130	!-- or pt(zp), are treated specially. In case of elevated model surfaces,
2131	!-- index nzb+1 might be within topography and data will be zero. Therefore,
2132	!-- take value for the first atmosphere index, which is topo_min_level+1.
2133	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2134	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2135	ts_value(3,sr) = dt_3d
2136	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2137	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2138	ts_value(6,sr) = u_max
2139	ts_value(7,sr) = v_max
2140	ts_value(8,sr) = w_max
2141	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2142	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2143	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2144	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2145	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2146	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2147	ts_value(15,sr) = hom(topo_min_level+1,1,16,sr) ! w'pt' at k=1
2148	ts_value(16,sr) = hom(topo_min_level+1,1,18,sr) ! wpt at k=1
2149	ts_value(17,sr) = hom(nzb+14,1,pr_palm,sr) ! pt(0)
2150	ts_value(18,sr) = hom(topo_min_level+1,1,4,sr) ! pt(zp)
2151	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2152	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2153	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2154
2155	IF ( .NOT. neutral ) THEN
2156	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
2157	ELSE
2158	ts_value(22,sr) = 1.0E10_wp
2159	ENDIF
2160
2161	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2162
2163	IF ( passive_scalar ) THEN
2164	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
2165	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
2166	ENDIF
2167
2168	!
2169	!-- Collect land surface model timeseries
2170	IF ( land_surface ) THEN
2171	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2172	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2173	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2174	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2175	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2176	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2177	ENDIF
2178	!
2179	!-- Collect radiation model timeseries
2180	IF ( radiation ) THEN
2181	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2182	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2183	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2184	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2185	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2186
2187	IF ( radiation_scheme == 'rrtmg' ) THEN
2188	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2189	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2190	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2191	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2192	ENDIF
2193
2194	ENDIF
2195
2196	!
2197	!-- Calculate additional statistics provided by other modules
2198	CALL module_interface_statistics( 'time_series', sr, 0, dots_max )
2199
2200	ENDDO ! loop of the subregions
2201
2202	!
2203	!-- If required, sum up horizontal averages for subsequent time averaging.
2204	!-- Do not sum, if flow statistics is called before the first initial time step.
2205	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2206	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2207	hom_sum = hom_sum + hom(:,1,:,:)
2208	average_count_pr = average_count_pr + 1
2209	do_sum = .FALSE.
2210	ENDIF
2211
2212	!
2213	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2214	!-- This flag is reset after each time step in time_integration.
2215	flow_statistics_called = .TRUE.
2216
2217	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2218
2219
2220	END SUBROUTINE flow_statistics

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