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source: palm/trunk/SOURCE/flow_statistics.f90 @ 4426

Last change on this file since 4426 was 4360, checked in by suehring, 5 years ago
Bugfix in output of time-averaged plant-canopy quanities; Output of plant-canopy data only where tall canopy is defined; land-surface model: fix wrong location strings; tests: update urban test case; all source code files: copyright update
Property svn:keywords set to `Id`
File size: 106.2 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 4360 2020-01-07 11:25:50Z oliver.maas $
27	! Introduction of wall_flags_total_0, which currently sets bits based on static
28	! topography information used in wall_flags_static_0
29	!
30	! 4329 2019-12-10 15:46:36Z motisi
31	! Renamed wall_flags_0 to wall_flags_static_0
32	!
33	! 4182 2019-08-22 15:20:23Z scharf
34	! Corrected "Former revisions" section
35	!
36	! 4131 2019-08-02 11:06:18Z monakurppa
37	! Allow profile output for salsa variables.
38	!
39	! 4039 2019-06-18 10:32:41Z suehring
40	! Correct conversion to kinematic scalar fluxes in case of pw-scheme and
41	! statistic regions
42	!
43	! 3828 2019-03-27 19:36:23Z raasch
44	! unused variables removed
45	!
46	! 3676 2019-01-16 15:07:05Z knoop
47	! Bugfix, terminate OMP Parallel block
48	!
49	! Revision 1.1 1997/08/11 06:15:17 raasch
50	! Initial revision
51	!
52	!
53	! Description:
54	! ------------
55	!> Compute average profiles and further average flow quantities for the different
56	!> user-defined (sub-)regions. The region indexed 0 is the total model domain.
57	!>
58	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
59	!> lower vertical index for k-loops for all variables, although strictly
60	!> speaking the k-loops would have to be split up according to the staggered
61	!> grid. However, this implies no error since staggered velocity components
62	!> are zero at the walls and inside buildings.
63	!------------------------------------------------------------------------------!
64	SUBROUTINE flow_statistics
65
66
67	USE arrays_3d, &
68	ONLY: ddzu, ddzw, e, heatflux_output_conversion, hyp, km, kh, &
69	momentumflux_output_conversion, nc, nr, p, prho, prr, pt, q, &
70	qc, ql, qr, rho_air, rho_air_zw, rho_ocean, s, &
71	sa, u, ug, v, vg, vpt, w, w_subs, waterflux_output_conversion, &
72	zw, d_exner
73
74	USE basic_constants_and_equations_mod, &
75	ONLY: g, lv_d_cp
76
77	USE bulk_cloud_model_mod, &
78	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
79
80	USE chem_modules, &
81	ONLY: max_pr_cs
82
83	USE control_parameters, &
84	ONLY: air_chemistry, average_count_pr, cloud_droplets, do_sum, &
85	dt_3d, humidity, initializing_actions, land_surface, &
86	large_scale_forcing, large_scale_subsidence, max_pr_user, &
87	message_string, neutral, ocean_mode, passive_scalar, &
88	simulated_time, simulated_time_at_begin, &
89	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
90	ws_scheme_mom, ws_scheme_sca, salsa, max_pr_salsa
91
92	USE cpulog, &
93	ONLY: cpu_log, log_point
94
95	USE grid_variables, &
96	ONLY: ddx, ddy
97
98	USE indices, &
99	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
100	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzt, topo_min_level, &
101	wall_flags_total_0
102
103	USE kinds
104
105	USE land_surface_model_mod, &
106	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
107
108	USE lsf_nudging_mod, &
109	ONLY: td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert
110
111	USE module_interface, &
112	ONLY: module_interface_statistics
113
114	USE netcdf_interface, &
115	ONLY: dots_rad, dots_soil, dots_max
116
117	USE pegrid
118
119	USE radiation_model_mod, &
120	ONLY: radiation, radiation_scheme, &
121	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
122	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
123
124	USE statistics
125
126	USE surface_mod, &
127	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
128
129
130	IMPLICIT NONE
131
132	INTEGER(iwp) :: i !<
133	INTEGER(iwp) :: j !<
134	INTEGER(iwp) :: k !<
135	INTEGER(iwp) :: ki !<
136	INTEGER(iwp) :: k_surface_level !<
137	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
138	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
139	INTEGER(iwp) :: nt !<
140	!$ INTEGER(iwp) :: omp_get_thread_num !<
141	INTEGER(iwp) :: sr !<
142	INTEGER(iwp) :: tn !<
143
144	LOGICAL :: first !<
145
146	REAL(wp) :: dptdz_threshold !<
147	REAL(wp) :: fac !<
148	REAL(wp) :: flag !<
149	REAL(wp) :: height !<
150	REAL(wp) :: pts !<
151	REAL(wp) :: sums_l_etot !<
152	REAL(wp) :: ust !<
153	REAL(wp) :: ust2 !<
154	REAL(wp) :: u2 !<
155	REAL(wp) :: vst !<
156	REAL(wp) :: vst2 !<
157	REAL(wp) :: v2 !<
158	REAL(wp) :: w2 !<
159
160	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
161	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
162
163	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
164
165
166	!
167	!-- To be on the safe side, check whether flow_statistics has already been
168	!-- called once after the current time step
169	IF ( flow_statistics_called ) THEN
170
171	message_string = 'flow_statistics is called two times within one ' // &
172	'timestep'
173	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
174
175	ENDIF
176
177	!
178	!-- Compute statistics for each (sub-)region
179	DO sr = 0, statistic_regions
180
181	!
182	!-- Initialize (local) summation array
183	sums_l = 0.0_wp
184	#ifdef _OPENACC
185	!$ACC KERNELS PRESENT(sums_l)
186	sums_l = 0.0_wp
187	!$ACC END KERNELS
188	#endif
189
190	!
191	!-- Store sums that have been computed in other subroutines in summation
192	!-- array
193	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
194	!-- WARNING: next line still has to be adjusted for OpenMP
195	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
196	heatflux_output_conversion ! heat flux from advec_s_bc
197	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
198	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
199
200	!
201	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
202	!-- scale) vertical fluxes and velocity variances by using commonly-
203	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
204	!-- in combination with the 5th order advection scheme, pronounced
205	!-- artificial kinks could be observed in the vertical profiles near the
206	!-- surface. Please note: these kinks were not related to the model truth,
207	!-- i.e. these kinks are just related to an evaluation problem.
208	!-- In order avoid these kinks, vertical fluxes and horizontal as well
209	!-- vertical velocity variances are calculated directly within the advection
210	!-- routines, according to the numerical discretization, to evaluate the
211	!-- statistical quantities as they will appear within the prognostic
212	!-- equations.
213	!-- Copy the turbulent quantities, evaluated in the advection routines to
214	!-- the local array sums_l() for further computations.
215	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
216
217	!
218	!-- According to the Neumann bc for the horizontal velocity components,
219	!-- the corresponding fluxes has to satisfiy the same bc.
220	IF ( ocean_mode ) THEN
221	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
222	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
223	ENDIF
224
225	DO i = 0, threads_per_task-1
226	!
227	!-- Swap the turbulent quantities evaluated in advec_ws.
228	sums_l(:,13,i) = sums_wsus_ws_l(:,i) &
229	* momentumflux_output_conversion ! wu
230	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) &
231	* momentumflux_output_conversion ! wv
232	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
233	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
234	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
235	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
236	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
237	sums_ws2_ws_l(:,i) ) ! e*
238	ENDDO
239
240	ENDIF
241
242	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
243
244	DO i = 0, threads_per_task-1
245	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
246	* heatflux_output_conversion ! wpt
247	IF ( ocean_mode ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
248	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
249	* waterflux_output_conversion ! wq
250	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
251	ENDDO
252
253	ENDIF
254	!
255	!-- Horizontally averaged profiles of horizontal velocities and temperature.
256	!-- They must have been computed before, because they are already required
257	!-- for other horizontal averages.
258	tn = 0
259	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
260	!$ tn = omp_get_thread_num()
261	!$OMP DO
262	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag) &
263	!$ACC PRESENT(wall_flags_total_0, u, v, pt, rmask, sums_l)
264	DO i = nxl, nxr
265	DO j = nys, nyn
266	DO k = nzb, nzt+1
267	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
268	!$ACC ATOMIC
269	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) &
270	* flag
271	!$ACC ATOMIC
272	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) &
273	* flag
274	!$ACC ATOMIC
275	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) &
276	* flag
277	ENDDO
278	ENDDO
279	ENDDO
280	!$ACC UPDATE HOST(sums_l(:,1,tn), sums_l(:,2,tn), sums_l(:,4,tn))
281
282	!
283	!-- Horizontally averaged profile of salinity
284	IF ( ocean_mode ) THEN
285	!$OMP DO
286	DO i = nxl, nxr
287	DO j = nys, nyn
288	DO k = nzb, nzt+1
289	sums_l(k,23,tn) = sums_l(k,23,tn) + sa(k,j,i) &
290	* rmask(j,i,sr) &
291	* MERGE( 1.0_wp, 0.0_wp, &
292	BTEST( wall_flags_total_0(k,j,i), 22 ) )
293	ENDDO
294	ENDDO
295	ENDDO
296	ENDIF
297
298	!
299	!-- Horizontally averaged profiles of virtual potential temperature,
300	!-- total water content, water vapor mixing ratio and liquid water potential
301	!-- temperature
302	IF ( humidity ) THEN
303	!$OMP DO
304	DO i = nxl, nxr
305	DO j = nys, nyn
306	DO k = nzb, nzt+1
307	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
308	sums_l(k,44,tn) = sums_l(k,44,tn) + &
309	vpt(k,j,i) * rmask(j,i,sr) * flag
310	sums_l(k,41,tn) = sums_l(k,41,tn) + &
311	q(k,j,i) * rmask(j,i,sr) * flag
312	ENDDO
313	ENDDO
314	ENDDO
315	IF ( bulk_cloud_model ) THEN
316	!$OMP DO
317	DO i = nxl, nxr
318	DO j = nys, nyn
319	DO k = nzb, nzt+1
320	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
321	sums_l(k,42,tn) = sums_l(k,42,tn) + &
322	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) &
323	* flag
324	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
325	pt(k,j,i) + lv_d_cp * d_exner(k) * ql(k,j,i) &
326	) * rmask(j,i,sr) &
327	* flag
328	ENDDO
329	ENDDO
330	ENDDO
331	ENDIF
332	ENDIF
333
334	!
335	!-- Horizontally averaged profiles of passive scalar
336	IF ( passive_scalar ) THEN
337	!$OMP DO
338	DO i = nxl, nxr
339	DO j = nys, nyn
340	DO k = nzb, nzt+1
341	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
342	* rmask(j,i,sr) &
343	* MERGE( 1.0_wp, 0.0_wp, &
344	BTEST( wall_flags_total_0(k,j,i), 22 ) )
345	ENDDO
346	ENDDO
347	ENDDO
348	ENDIF
349	!$OMP END PARALLEL
350	!
351	!-- Summation of thread sums
352	IF ( threads_per_task > 1 ) THEN
353	DO i = 1, threads_per_task-1
354	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
355	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
356	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
357	IF ( ocean_mode ) THEN
358	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
359	ENDIF
360	IF ( humidity ) THEN
361	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
362	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
363	IF ( bulk_cloud_model ) THEN
364	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
365	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
366	ENDIF
367	ENDIF
368	IF ( passive_scalar ) THEN
369	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
370	ENDIF
371	ENDDO
372	ENDIF
373
374	#if defined( __parallel )
375	!
376	!-- Compute total sum from local sums
377	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
378	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
379	MPI_SUM, comm2d, ierr )
380	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
381	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
382	MPI_SUM, comm2d, ierr )
383	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
384	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
385	MPI_SUM, comm2d, ierr )
386	IF ( ocean_mode ) THEN
387	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
388	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
389	MPI_REAL, MPI_SUM, comm2d, ierr )
390	ENDIF
391	IF ( humidity ) THEN
392	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
393	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
394	MPI_REAL, MPI_SUM, comm2d, ierr )
395	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
396	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
397	MPI_REAL, MPI_SUM, comm2d, ierr )
398	IF ( bulk_cloud_model ) THEN
399	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
400	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
401	MPI_REAL, MPI_SUM, comm2d, ierr )
402	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
403	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
404	MPI_REAL, MPI_SUM, comm2d, ierr )
405	ENDIF
406	ENDIF
407
408	IF ( passive_scalar ) THEN
409	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
410	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, &
411	MPI_REAL, MPI_SUM, comm2d, ierr )
412	ENDIF
413	#else
414	sums(:,1) = sums_l(:,1,0)
415	sums(:,2) = sums_l(:,2,0)
416	sums(:,4) = sums_l(:,4,0)
417	IF ( ocean_mode ) sums(:,23) = sums_l(:,23,0)
418	IF ( humidity ) THEN
419	sums(:,44) = sums_l(:,44,0)
420	sums(:,41) = sums_l(:,41,0)
421	IF ( bulk_cloud_model ) THEN
422	sums(:,42) = sums_l(:,42,0)
423	sums(:,43) = sums_l(:,43,0)
424	ENDIF
425	ENDIF
426	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
427	#endif
428
429	!
430	!-- Final values are obtained by division by the total number of grid points
431	!-- used for summation. After that store profiles.
432	sums(:,1) = sums(:,1) / ngp_2dh(sr)
433	sums(:,2) = sums(:,2) / ngp_2dh(sr)
434	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
435	hom(:,1,1,sr) = sums(:,1) ! u
436	hom(:,1,2,sr) = sums(:,2) ! v
437	hom(:,1,4,sr) = sums(:,4) ! pt
438	!$ACC UPDATE DEVICE(hom(:,1,1,sr), hom(:,1,2,sr), hom(:,1,4,sr))
439
440
441	!
442	!-- Salinity
443	IF ( ocean_mode ) THEN
444	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
445	hom(:,1,23,sr) = sums(:,23) ! sa
446	ENDIF
447
448	!
449	!-- Humidity and cloud parameters
450	IF ( humidity ) THEN
451	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
452	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
453	hom(:,1,44,sr) = sums(:,44) ! vpt
454	hom(:,1,41,sr) = sums(:,41) ! qv (q)
455	IF ( bulk_cloud_model ) THEN
456	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
457	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
458	hom(:,1,42,sr) = sums(:,42) ! qv
459	hom(:,1,43,sr) = sums(:,43) ! pt
460	ENDIF
461	ENDIF
462
463	!
464	!-- Passive scalar
465	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / &
466	ngp_2dh_s_inner(:,sr) ! s
467
468	!
469	!-- Horizontally averaged profiles of the remaining prognostic variables,
470	!-- variances, the total and the perturbation energy (single values in last
471	!-- column of sums_l) and some diagnostic quantities.
472	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
473	!-- ---- speaking the following k-loop would have to be split up and
474	!-- rearranged according to the staggered grid.
475	!-- However, this implies no error since staggered velocity components
476	!-- are zero at the walls and inside buildings.
477	tn = 0
478	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, &
479	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
480	!$OMP w2, flag, m, ki, l )
481	!$ tn = omp_get_thread_num()
482	!$OMP DO
483	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, m) &
484	!$ACC PRIVATE(sums_l_etot, flag) &
485	!$ACC PRESENT(wall_flags_total_0, rmask, momentumflux_output_conversion) &
486	!$ACC PRESENT(hom(:,1,4,sr)) &
487	!$ACC PRESENT(e, u, v, w, km, kh, p, pt) &
488	!$ACC PRESENT(surf_def_h(0), surf_lsm_h, surf_usm_h) &
489	!$ACC PRESENT(sums_l)
490	DO i = nxl, nxr
491	DO j = nys, nyn
492	sums_l_etot = 0.0_wp
493	DO k = nzb, nzt+1
494	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
495	!
496	!-- Prognostic and diagnostic variables
497	!$ACC ATOMIC
498	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) &
499	* flag
500	!$ACC ATOMIC
501	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) &
502	* flag
503	!$ACC ATOMIC
504	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) &
505	* flag
506	!$ACC ATOMIC
507	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) &
508	* flag
509	!$ACC ATOMIC
510	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
511	/ momentumflux_output_conversion(k) ) &
512	* flag
513
514	!$ACC ATOMIC
515	sums_l(k,33,tn) = sums_l(k,33,tn) + &
516	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)&
517	* flag
518	#ifndef _OPENACC
519	IF ( humidity ) THEN
520	sums_l(k,70,tn) = sums_l(k,70,tn) + &
521	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)&
522	* flag
523	ENDIF
524	IF ( passive_scalar ) THEN
525	sums_l(k,116,tn) = sums_l(k,116,tn) + &
526	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr)&
527	* flag
528	ENDIF
529	#endif
530	!
531	!-- Higher moments
532	!-- (Computation of the skewness of w further below)
533	!$ACC ATOMIC
534	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) &
535	* flag
536
537	sums_l_etot = sums_l_etot + &
538	0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + &
539	w(k,j,i)*2 ) rmask(j,i,sr)&
540	* flag
541	ENDDO
542	!
543	!-- Total and perturbation energy for the total domain (being
544	!-- collected in the last column of sums_l). Summation of these
545	!-- quantities is seperated from the previous loop in order to
546	!-- allow vectorization of that loop.
547	!$ACC ATOMIC
548	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
549	!
550	!-- 2D-arrays (being collected in the last column of sums_l)
551	IF ( surf_def_h(0)%end_index(j,i) >= &
552	surf_def_h(0)%start_index(j,i) ) THEN
553	m = surf_def_h(0)%start_index(j,i)
554	!$ACC ATOMIC
555	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
556	surf_def_h(0)%us(m) * rmask(j,i,sr)
557	!$ACC ATOMIC
558	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
559	surf_def_h(0)%usws(m) * rmask(j,i,sr)
560	!$ACC ATOMIC
561	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
562	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
563	!$ACC ATOMIC
564	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
565	surf_def_h(0)%ts(m) * rmask(j,i,sr)
566	#ifndef _OPENACC
567	IF ( humidity ) THEN
568	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
569	surf_def_h(0)%qs(m) * rmask(j,i,sr)
570	ENDIF
571	IF ( passive_scalar ) THEN
572	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
573	surf_def_h(0)%ss(m) * rmask(j,i,sr)
574	ENDIF
575	#endif
576	!
577	!-- Summation of surface temperature.
578	!$ACC ATOMIC
579	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
580	surf_def_h(0)%pt_surface(m) * &
581	rmask(j,i,sr)
582	ENDIF
583	IF ( surf_lsm_h%end_index(j,i) >= surf_lsm_h%start_index(j,i) ) THEN
584	m = surf_lsm_h%start_index(j,i)
585	!$ACC ATOMIC
586	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
587	surf_lsm_h%us(m) * rmask(j,i,sr)
588	!$ACC ATOMIC
589	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
590	surf_lsm_h%usws(m) * rmask(j,i,sr)
591	!$ACC ATOMIC
592	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
593	surf_lsm_h%vsws(m) * rmask(j,i,sr)
594	!$ACC ATOMIC
595	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
596	surf_lsm_h%ts(m) * rmask(j,i,sr)
597	#ifndef _OPENACC
598	IF ( humidity ) THEN
599	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
600	surf_lsm_h%qs(m) * rmask(j,i,sr)
601	ENDIF
602	IF ( passive_scalar ) THEN
603	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
604	surf_lsm_h%ss(m) * rmask(j,i,sr)
605	ENDIF
606	#endif
607	!
608	!-- Summation of surface temperature.
609	!$ACC ATOMIC
610	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
611	surf_lsm_h%pt_surface(m) * &
612	rmask(j,i,sr)
613	ENDIF
614	IF ( surf_usm_h%end_index(j,i) >= surf_usm_h%start_index(j,i) ) THEN
615	m = surf_usm_h%start_index(j,i)
616	!$ACC ATOMIC
617	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
618	surf_usm_h%us(m) * rmask(j,i,sr)
619	!$ACC ATOMIC
620	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
621	surf_usm_h%usws(m) * rmask(j,i,sr)
622	!$ACC ATOMIC
623	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
624	surf_usm_h%vsws(m) * rmask(j,i,sr)
625	!$ACC ATOMIC
626	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
627	surf_usm_h%ts(m) * rmask(j,i,sr)
628	#ifndef _OPENACC
629	IF ( humidity ) THEN
630	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
631	surf_usm_h%qs(m) * rmask(j,i,sr)
632	ENDIF
633	IF ( passive_scalar ) THEN
634	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
635	surf_usm_h%ss(m) * rmask(j,i,sr)
636	ENDIF
637	#endif
638	!
639	!-- Summation of surface temperature.
640	!$ACC ATOMIC
641	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
642	surf_usm_h%pt_surface(m) * &
643	rmask(j,i,sr)
644	ENDIF
645	ENDDO
646	ENDDO
647	!$ACC UPDATE &
648	!$ACC HOST(sums_l(:,3,tn), sums_l(:,8,tn), sums_l(:,9,tn)) &
649	!$ACC HOST(sums_l(:,10,tn), sums_l(:,40,tn), sums_l(:,33,tn)) &
650	!$ACC HOST(sums_l(:,38,tn)) &
651	!$ACC HOST(sums_l(nzb:nzb+4,pr_palm,tn), sums_l(nzb+14:nzb+14,pr_palm,tn))
652
653	!
654	!-- Computation of statistics when ws-scheme is not used. Else these
655	!-- quantities are evaluated in the advection routines.
656	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) &
657	THEN
658	!$OMP DO
659	DO i = nxl, nxr
660	DO j = nys, nyn
661	DO k = nzb, nzt+1
662	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
663
664	u2 = u(k,j,i)**2
665	v2 = v(k,j,i)**2
666	w2 = w(k,j,i)**2
667	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
668	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
669
670	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) &
671	* flag
672	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) &
673	* flag
674	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) &
675	* flag
676	!
677	!-- Perturbation energy
678
679	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5_wp * &
680	( ust2 + vst2 + w2 ) * rmask(j,i,sr) &
681	* flag
682	ENDDO
683	ENDDO
684	ENDDO
685	ENDIF
686	!
687	!-- Computaion of domain-averaged perturbation energy. Please note,
688	!-- to prevent that perturbation energy is larger (even if only slightly)
689	!-- than the total kinetic energy, calculation is based on deviations from
690	!-- the horizontal mean, instead of spatial descretization of the advection
691	!-- term.
692	!$OMP DO
693	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag, w2, ust2, vst2) &
694	!$ACC PRESENT(wall_flags_total_0, u, v, w, rmask, hom(:,1,1:2,sr)) &
695	!$ACC PRESENT(sums_l)
696	DO i = nxl, nxr
697	DO j = nys, nyn
698	DO k = nzb, nzt+1
699	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
700
701	w2 = w(k,j,i)**2
702	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
703	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
704	w2 = w(k,j,i)**2
705
706	!$ACC ATOMIC
707	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
708	+ 0.5_wp * ( ust2 + vst2 + w2 ) &
709	* rmask(j,i,sr) &
710	* flag
711	ENDDO
712	ENDDO
713	ENDDO
714	!$ACC UPDATE HOST(sums_l(nzb+5:nzb+5,pr_palm,tn))
715
716	!
717	!-- Horizontally averaged profiles of the vertical fluxes
718
719	!$OMP DO
720	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) &
721	!$ACC PRIVATE(ki, flag, ust, vst, pts) &
722	!$ACC PRESENT(kh, km, u, v, w, pt) &
723	!$ACC PRESENT(wall_flags_total_0, rmask, ddzu, rho_air_zw, hom(:,1,1:4,sr)) &
724	!$ACC PRESENT(heatflux_output_conversion, momentumflux_output_conversion) &
725	!$ACC PRESENT(surf_def_h(0:2), surf_lsm_h, surf_usm_h) &
726	!$ACC PRESENT(sums_l)
727	DO i = nxl, nxr
728	DO j = nys, nyn
729	!
730	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
731	!-- oterwise from k=nzb+1)
732	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
733	!-- ---- strictly speaking the following k-loop would have to be
734	!-- split up according to the staggered grid.
735	!-- However, this implies no error since staggered velocity
736	!-- components are zero at the walls and inside buildings.
737	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes,
738	!-- which are added further below.
739	DO k = nzb, nzt
740	flag = MERGE( 1.0_wp, 0.0_wp, &
741	BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
742	MERGE( 1.0_wp, 0.0_wp, &
743	BTEST( wall_flags_total_0(k,j,i), 9 ) )
744	!
745	!-- Momentum flux w"u"
746	!$ACC ATOMIC
747	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
748	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
749	) * ( &
750	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
751	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
752	) * rmask(j,i,sr) &
753	* rho_air_zw(k) &
754	* momentumflux_output_conversion(k) &
755	* flag
756	!
757	!-- Momentum flux w"v"
758	!$ACC ATOMIC
759	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
760	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
761	) * ( &
762	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
763	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
764	) * rmask(j,i,sr) &
765	* rho_air_zw(k) &
766	* momentumflux_output_conversion(k) &
767	* flag
768	!
769	!-- Heat flux w"pt"
770	!$ACC ATOMIC
771	sums_l(k,16,tn) = sums_l(k,16,tn) &
772	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
773	* ( pt(k+1,j,i) - pt(k,j,i) ) &
774	* rho_air_zw(k) &
775	* heatflux_output_conversion(k) &
776	* ddzu(k+1) * rmask(j,i,sr) &
777	* flag
778
779	!
780	!-- Salinity flux w"sa"
781	#ifndef _OPENACC
782	IF ( ocean_mode ) THEN
783	sums_l(k,65,tn) = sums_l(k,65,tn) &
784	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
785	* ( sa(k+1,j,i) - sa(k,j,i) ) &
786	* ddzu(k+1) * rmask(j,i,sr) &
787	* flag
788	ENDIF
789
790	!
791	!-- Buoyancy flux, water flux (humidity flux) w"q"
792	IF ( humidity ) THEN
793	sums_l(k,45,tn) = sums_l(k,45,tn) &
794	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
795	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
796	* rho_air_zw(k) &
797	* heatflux_output_conversion(k) &
798	* ddzu(k+1) * rmask(j,i,sr) * flag
799	sums_l(k,48,tn) = sums_l(k,48,tn) &
800	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
801	* ( q(k+1,j,i) - q(k,j,i) ) &
802	* rho_air_zw(k) &
803	* waterflux_output_conversion(k)&
804	* ddzu(k+1) * rmask(j,i,sr) * flag
805
806	IF ( bulk_cloud_model ) THEN
807	sums_l(k,51,tn) = sums_l(k,51,tn) &
808	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
809	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
810	- ( q(k,j,i) - ql(k,j,i) ) ) &
811	* rho_air_zw(k) &
812	* waterflux_output_conversion(k)&
813	* ddzu(k+1) * rmask(j,i,sr) * flag
814	ENDIF
815	ENDIF
816
817	!
818	!-- Passive scalar flux
819	IF ( passive_scalar ) THEN
820	sums_l(k,117,tn) = sums_l(k,117,tn) &
821	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
822	* ( s(k+1,j,i) - s(k,j,i) ) &
823	* ddzu(k+1) * rmask(j,i,sr) &
824	* flag
825	ENDIF
826	#endif
827
828	ENDDO
829
830	!
831	!-- Subgridscale fluxes in the Prandtl layer
832	IF ( use_surface_fluxes ) THEN
833	DO l = 0, 1
834	! The original code using MERGE doesn't work with the PGI
835	! compiler when running on the GPU.
836	! This is submitted as a compiler Bug in PGI ticket TPR#26718
837	! ki = MERGE( -1, 0, l == 0 )
838	ki = -1 + l
839	IF ( surf_def_h(l)%ns >= 1 ) THEN
840	DO m = surf_def_h(l)%start_index(j,i), &
841	surf_def_h(l)%end_index(j,i)
842	k = surf_def_h(l)%k(m)
843
844	!$ACC ATOMIC
845	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
846	momentumflux_output_conversion(k+ki) * &
847	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
848	!$ACC ATOMIC
849	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
850	momentumflux_output_conversion(k+ki) * &
851	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
852	!$ACC ATOMIC
853	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
854	heatflux_output_conversion(k+ki) * &
855	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
856	#if 0
857	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
858	0.0_wp * rmask(j,i,sr) ! u"pt"
859	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
860	0.0_wp * rmask(j,i,sr) ! v"pt"
861	#endif
862	#ifndef _OPENACC
863	IF ( ocean_mode ) THEN
864	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
865	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
866	ENDIF
867	IF ( humidity ) THEN
868	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
869	waterflux_output_conversion(k+ki) * &
870	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
871	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
872	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
873	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
874	surf_def_h(l)%qsws(m) ) &
875	* heatflux_output_conversion(k+ki)
876	IF ( cloud_droplets ) THEN
877	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
878	( 1.0_wp + 0.61_wp * q(k+ki,j,i) - &
879	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
880	0.61_wp * pt(k+ki,j,i) * surf_def_h(l)%qsws(m) ) &
881	* heatflux_output_conversion(k+ki)
882	ENDIF
883	IF ( bulk_cloud_model ) THEN
884	!
885	!-- Formula does not work if ql(k+ki) /= 0.0
886	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
887	waterflux_output_conversion(k+ki) * &
888	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
889	ENDIF
890	ENDIF
891	IF ( passive_scalar ) THEN
892	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
893	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
894	ENDIF
895	#endif
896
897	ENDDO
898
899	ENDIF
900	ENDDO
901	IF ( surf_lsm_h%end_index(j,i) >= &
902	surf_lsm_h%start_index(j,i) ) THEN
903	m = surf_lsm_h%start_index(j,i)
904	!$ACC ATOMIC
905	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
906	momentumflux_output_conversion(nzb) * &
907	surf_lsm_h%usws(m) * rmask(j,i,sr) ! w"u"
908	!$ACC ATOMIC
909	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
910	momentumflux_output_conversion(nzb) * &
911	surf_lsm_h%vsws(m) * rmask(j,i,sr) ! w"v"
912	!$ACC ATOMIC
913	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
914	heatflux_output_conversion(nzb) * &
915	surf_lsm_h%shf(m) * rmask(j,i,sr) ! w"pt"
916	#if 0
917	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
918	0.0_wp * rmask(j,i,sr) ! u"pt"
919	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
920	0.0_wp * rmask(j,i,sr) ! v"pt"
921	#endif
922	#ifndef _OPENACC
923	IF ( ocean_mode ) THEN
924	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
925	surf_lsm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
926	ENDIF
927	IF ( humidity ) THEN
928	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
929	waterflux_output_conversion(nzb) * &
930	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
931	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
932	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
933	surf_lsm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
934	surf_lsm_h%qsws(m) ) &
935	* heatflux_output_conversion(nzb)
936	IF ( cloud_droplets ) THEN
937	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
938	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
939	ql(nzb,j,i) ) * surf_lsm_h%shf(m) + &
940	0.61_wp * pt(nzb,j,i) * surf_lsm_h%qsws(m) ) &
941	* heatflux_output_conversion(nzb)
942	ENDIF
943	IF ( bulk_cloud_model ) THEN
944	!
945	!-- Formula does not work if ql(nzb) /= 0.0
946	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
947	waterflux_output_conversion(nzb) * &
948	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
949	ENDIF
950	ENDIF
951	IF ( passive_scalar ) THEN
952	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
953	surf_lsm_h%ssws(m) * rmask(j,i,sr) ! w"s"
954	ENDIF
955	#endif
956
957	ENDIF
958	IF ( surf_usm_h%end_index(j,i) >= &
959	surf_usm_h%start_index(j,i) ) THEN
960	m = surf_usm_h%start_index(j,i)
961	!$ACC ATOMIC
962	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
963	momentumflux_output_conversion(nzb) * &
964	surf_usm_h%usws(m) * rmask(j,i,sr) ! w"u"
965	!$ACC ATOMIC
966	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
967	momentumflux_output_conversion(nzb) * &
968	surf_usm_h%vsws(m) * rmask(j,i,sr) ! w"v"
969	!$ACC ATOMIC
970	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
971	heatflux_output_conversion(nzb) * &
972	surf_usm_h%shf(m) * rmask(j,i,sr) ! w"pt"
973	#if 0
974	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
975	0.0_wp * rmask(j,i,sr) ! u"pt"
976	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
977	0.0_wp * rmask(j,i,sr) ! v"pt"
978	#endif
979	#ifndef _OPENACC
980	IF ( ocean_mode ) THEN
981	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
982	surf_usm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
983	ENDIF
984	IF ( humidity ) THEN
985	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
986	waterflux_output_conversion(nzb) * &
987	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
988	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
989	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
990	surf_usm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
991	surf_usm_h%qsws(m) ) &
992	* heatflux_output_conversion(nzb)
993	IF ( cloud_droplets ) THEN
994	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
995	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
996	ql(nzb,j,i) ) * surf_usm_h%shf(m) + &
997	0.61_wp * pt(nzb,j,i) * surf_usm_h%qsws(m) ) &
998	* heatflux_output_conversion(nzb)
999	ENDIF
1000	IF ( bulk_cloud_model ) THEN
1001	!
1002	!-- Formula does not work if ql(nzb) /= 0.0
1003	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1004	waterflux_output_conversion(nzb) * &
1005	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1006	ENDIF
1007	ENDIF
1008	IF ( passive_scalar ) THEN
1009	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1010	surf_usm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1011	ENDIF
1012	#endif
1013
1014	ENDIF
1015
1016	ENDIF
1017
1018	#ifndef _OPENACC
1019	IF ( .NOT. neutral ) THEN
1020	IF ( surf_def_h(0)%end_index(j,i) >= &
1021	surf_def_h(0)%start_index(j,i) ) THEN
1022	m = surf_def_h(0)%start_index(j,i)
1023	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1024	surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1025	ENDIF
1026	IF ( surf_lsm_h%end_index(j,i) >= &
1027	surf_lsm_h%start_index(j,i) ) THEN
1028	m = surf_lsm_h%start_index(j,i)
1029	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1030	surf_lsm_h%ol(m) * rmask(j,i,sr) ! L
1031	ENDIF
1032	IF ( surf_usm_h%end_index(j,i) >= &
1033	surf_usm_h%start_index(j,i) ) THEN
1034	m = surf_usm_h%start_index(j,i)
1035	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1036	surf_usm_h%ol(m) * rmask(j,i,sr) ! L
1037	ENDIF
1038	ENDIF
1039
1040	IF ( radiation ) THEN
1041	IF ( surf_def_h(0)%end_index(j,i) >= &
1042	surf_def_h(0)%start_index(j,i) ) THEN
1043	m = surf_def_h(0)%start_index(j,i)
1044	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1045	surf_def_h(0)%rad_net(m) * rmask(j,i,sr)
1046	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1047	surf_def_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1048	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1049	surf_def_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1050	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1051	surf_def_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1052	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1053	surf_def_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1054	ENDIF
1055	IF ( surf_lsm_h%end_index(j,i) >= &
1056	surf_lsm_h%start_index(j,i) ) THEN
1057	m = surf_lsm_h%start_index(j,i)
1058	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1059	surf_lsm_h%rad_net(m) * rmask(j,i,sr)
1060	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1061	surf_lsm_h%rad_lw_in(m) * rmask(j,i,sr)
1062	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1063	surf_lsm_h%rad_lw_out(m) * rmask(j,i,sr)
1064	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1065	surf_lsm_h%rad_sw_in(m) * rmask(j,i,sr)
1066	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1067	surf_lsm_h%rad_sw_out(m) * rmask(j,i,sr)
1068	ENDIF
1069	IF ( surf_usm_h%end_index(j,i) >= &
1070	surf_usm_h%start_index(j,i) ) THEN
1071	m = surf_usm_h%start_index(j,i)
1072	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1073	surf_usm_h%rad_net(m) * rmask(j,i,sr)
1074	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1075	surf_usm_h%rad_lw_in(m) * rmask(j,i,sr)
1076	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1077	surf_usm_h%rad_lw_out(m) * rmask(j,i,sr)
1078	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1079	surf_usm_h%rad_sw_in(m) * rmask(j,i,sr)
1080	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1081	surf_usm_h%rad_sw_out(m) * rmask(j,i,sr)
1082	ENDIF
1083
1084	#if defined ( __rrtmg )
1085	IF ( radiation_scheme == 'rrtmg' ) THEN
1086
1087	IF ( surf_def_h(0)%end_index(j,i) >= &
1088	surf_def_h(0)%start_index(j,i) ) THEN
1089	m = surf_def_h(0)%start_index(j,i)
1090	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1091	surf_def_h(0)%rrtm_aldif(0,m) * rmask(j,i,sr)
1092	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1093	surf_def_h(0)%rrtm_aldir(0,m) * rmask(j,i,sr)
1094	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1095	surf_def_h(0)%rrtm_asdif(0,m) * rmask(j,i,sr)
1096	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1097	surf_def_h(0)%rrtm_asdir(0,m) * rmask(j,i,sr)
1098	ENDIF
1099	IF ( surf_lsm_h%end_index(j,i) >= &
1100	surf_lsm_h%start_index(j,i) ) THEN
1101	m = surf_lsm_h%start_index(j,i)
1102	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1103	SUM( surf_lsm_h%frac(:,m) * &
1104	surf_lsm_h%rrtm_aldif(:,m) ) * rmask(j,i,sr)
1105	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1106	SUM( surf_lsm_h%frac(:,m) * &
1107	surf_lsm_h%rrtm_aldir(:,m) ) * rmask(j,i,sr)
1108	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1109	SUM( surf_lsm_h%frac(:,m) * &
1110	surf_lsm_h%rrtm_asdif(:,m) ) * rmask(j,i,sr)
1111	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1112	SUM( surf_lsm_h%frac(:,m) * &
1113	surf_lsm_h%rrtm_asdir(:,m) ) * rmask(j,i,sr)
1114	ENDIF
1115	IF ( surf_usm_h%end_index(j,i) >= &
1116	surf_usm_h%start_index(j,i) ) THEN
1117	m = surf_usm_h%start_index(j,i)
1118	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1119	SUM( surf_usm_h%frac(:,m) * &
1120	surf_usm_h%rrtm_aldif(:,m) ) * rmask(j,i,sr)
1121	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1122	SUM( surf_usm_h%frac(:,m) * &
1123	surf_usm_h%rrtm_aldir(:,m) ) * rmask(j,i,sr)
1124	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1125	SUM( surf_usm_h%frac(:,m) * &
1126	surf_usm_h%rrtm_asdif(:,m) ) * rmask(j,i,sr)
1127	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1128	SUM( surf_usm_h%frac(:,m) * &
1129	surf_usm_h%rrtm_asdir(:,m) ) * rmask(j,i,sr)
1130	ENDIF
1131
1132	ENDIF
1133	#endif
1134	ENDIF
1135	#endif
1136	!
1137	!-- Subgridscale fluxes at the top surface
1138	IF ( use_top_fluxes ) THEN
1139	m = surf_def_h(2)%start_index(j,i)
1140	!$ACC ATOMIC
1141	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
1142	momentumflux_output_conversion(nzt) * &
1143	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1144	!$ACC ATOMIC
1145	sums_l(nzt+1,12,tn) = sums_l(nzt+1,12,tn) + &
1146	momentumflux_output_conversion(nzt+1) * &
1147	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1148	!$ACC ATOMIC
1149	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
1150	momentumflux_output_conversion(nzt) * &
1151	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1152	!$ACC ATOMIC
1153	sums_l(nzt+1,14,tn) = sums_l(nzt+1,14,tn) + &
1154	momentumflux_output_conversion(nzt+1) * &
1155	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1156	!$ACC ATOMIC
1157	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
1158	heatflux_output_conversion(nzt) * &
1159	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1160	!$ACC ATOMIC
1161	sums_l(nzt+1,16,tn) = sums_l(nzt+1,16,tn) + &
1162	heatflux_output_conversion(nzt+1) * &
1163	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1164	#if 0
1165	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1166	0.0_wp * rmask(j,i,sr) ! u"pt"
1167	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1168	0.0_wp * rmask(j,i,sr) ! v"pt"
1169	#endif
1170	#ifndef _OPENACC
1171	IF ( ocean_mode ) THEN
1172	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1173	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1174	ENDIF
1175	IF ( humidity ) THEN
1176	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1177	waterflux_output_conversion(nzt) * &
1178	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1179	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1180	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
1181	surf_def_h(2)%shf(m) + &
1182	0.61_wp * pt(nzt,j,i) * &
1183	surf_def_h(2)%qsws(m) ) &
1184	* heatflux_output_conversion(nzt)
1185	IF ( cloud_droplets ) THEN
1186	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1187	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1188	ql(nzt,j,i) ) * &
1189	surf_def_h(2)%shf(m) + &
1190	0.61_wp * pt(nzt,j,i) * &
1191	surf_def_h(2)%qsws(m) )&
1192	* heatflux_output_conversion(nzt)
1193	ENDIF
1194	IF ( bulk_cloud_model ) THEN
1195	!
1196	!-- Formula does not work if ql(nzb) /= 0.0
1197	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1198	waterflux_output_conversion(nzt) * &
1199	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1200	ENDIF
1201	ENDIF
1202	IF ( passive_scalar ) THEN
1203	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1204	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1205	ENDIF
1206	#endif
1207	ENDIF
1208
1209	!
1210	!-- Resolved fluxes (can be computed for all horizontal points)
1211	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
1212	!-- ---- speaking the following k-loop would have to be split up and
1213	!-- rearranged according to the staggered grid.
1214	DO k = nzb, nzt
1215	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 22 ) )
1216	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1217	u(k+1,j,i) - hom(k+1,1,1,sr) )
1218	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1219	v(k+1,j,i) - hom(k+1,1,2,sr) )
1220	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1221	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1222
1223	!-- Higher moments
1224	!$ACC ATOMIC
1225	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
1226	rmask(j,i,sr) * flag
1227	!$ACC ATOMIC
1228	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
1229	rmask(j,i,sr) * flag
1230
1231	!
1232	!-- Salinity flux and density (density does not belong to here,
1233	!-- but so far there is no other suitable place to calculate)
1234	#ifndef _OPENACC
1235	IF ( ocean_mode ) THEN
1236	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1237	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1238	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1239	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1240	rmask(j,i,sr) * flag
1241	ENDIF
1242	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * &
1243	rmask(j,i,sr) * flag
1244	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
1245	rmask(j,i,sr) * flag
1246	ENDIF
1247
1248	!
1249	!-- Buoyancy flux, water flux, humidity flux, liquid water
1250	!-- content, rain drop concentration and rain water content
1251	IF ( humidity ) THEN
1252	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
1253	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1254	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1255	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1256	rho_air_zw(k) * &
1257	heatflux_output_conversion(k) * &
1258	rmask(j,i,sr) * flag
1259	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) &
1260	* flag
1261
1262	IF ( .NOT. cloud_droplets ) THEN
1263	pts = 0.5_wp * &
1264	( ( q(k,j,i) - ql(k,j,i) ) - &
1265	hom(k,1,42,sr) + &
1266	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1267	hom(k+1,1,42,sr) )
1268	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1269	rho_air_zw(k) * &
1270	waterflux_output_conversion(k) * &
1271	rmask(j,i,sr) * &
1272	flag
1273	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
1274	rmask(j,i,sr) * &
1275	flag
1276	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * &
1277	rmask(j,i,sr) * &
1278	flag
1279	IF ( microphysics_morrison ) THEN
1280	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * &
1281	rmask(j,i,sr) *&
1282	flag
1283	ENDIF
1284	IF ( microphysics_seifert ) THEN
1285	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
1286	rmask(j,i,sr) *&
1287	flag
1288	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
1289	rmask(j,i,sr) *&
1290	flag
1291	ENDIF
1292	ENDIF
1293
1294	ELSE
1295	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1296	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1297	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1298	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1299	rho_air_zw(k) * &
1300	heatflux_output_conversion(k) * &
1301	rmask(j,i,sr) * &
1302	flag
1303	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1304	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1305	hom(k,1,41,sr) ) * &
1306	sums_l(k,17,tn) + &
1307	0.61_wp * hom(k,1,4,sr) * &
1308	sums_l(k,49,tn) &
1309	) * heatflux_output_conversion(k) * &
1310	flag
1311	END IF
1312	END IF
1313	ENDIF
1314	!
1315	!-- Passive scalar flux
1316	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
1317	.OR. sr /= 0 ) ) THEN
1318	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1319	s(k+1,j,i) - hom(k+1,1,115,sr) )
1320	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1321	rmask(j,i,sr) * flag
1322	ENDIF
1323	#endif
1324
1325	!
1326	!-- Energy flux we
1327	!-- has to be adjusted
1328	!$ACC ATOMIC
1329	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1330	( ust2 + vst2 + w(k,j,i)**2 ) &
1331	* rho_air_zw(k) &
1332	* momentumflux_output_conversion(k) &
1333	* rmask(j,i,sr) * flag
1334	ENDDO
1335	ENDDO
1336	ENDDO
1337	!$OMP END PARALLEL
1338
1339	!$ACC UPDATE &
1340	!$ACC HOST(sums_l(:,12,tn), sums_l(:,14,tn), sums_l(:,16,tn)) &
1341	!$ACC HOST(sums_l(:,35,tn), sums_l(:,36,tn), sums_l(:,37,tn))
1342	!
1343	!-- Treat land-surface quantities according to new wall model structure.
1344	IF ( land_surface ) THEN
1345	tn = 0
1346	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1347	!$ tn = omp_get_thread_num()
1348	!$OMP DO
1349	DO m = 1, surf_lsm_h%ns
1350	i = surf_lsm_h%i(m)
1351	j = surf_lsm_h%j(m)
1352
1353	IF ( i >= nxl .AND. i <= nxr .AND. &
1354	j >= nys .AND. j <= nyn ) THEN
1355	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h%ghf(m)
1356	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h%qsws_liq(m)
1357	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h%qsws_soil(m)
1358	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h%qsws_veg(m)
1359	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h%r_a(m)
1360	sums_l(nzb,98,tn) = sums_l(nzb,98,tn)+ surf_lsm_h%r_s(m)
1361	ENDIF
1362	ENDDO
1363	!$OMP END PARALLEL
1364
1365	tn = 0
1366	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1367	!$ tn = omp_get_thread_num()
1368	!$OMP DO
1369	DO m = 1, surf_lsm_h%ns
1370
1371	i = surf_lsm_h%i(m)
1372	j = surf_lsm_h%j(m)
1373
1374	IF ( i >= nxl .AND. i <= nxr .AND. &
1375	j >= nys .AND. j <= nyn ) THEN
1376
1377	DO k = nzb_soil, nzt_soil
1378	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h%var_2d(k,m) &
1379	* rmask(j,i,sr)
1380	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h%var_2d(k,m) &
1381	* rmask(j,i,sr)
1382	ENDDO
1383	ENDIF
1384	ENDDO
1385	!$OMP END PARALLEL
1386	ENDIF
1387	!
1388	!-- For speed optimization fluxes which have been computed in part directly
1389	!-- inside the WS advection routines are treated seperatly
1390	!-- Momentum fluxes first:
1391
1392	tn = 0
1393	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
1394	!$ tn = omp_get_thread_num()
1395	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1396	!$OMP DO
1397	DO i = nxl, nxr
1398	DO j = nys, nyn
1399	DO k = nzb, nzt
1400	!
1401	!-- Flag 23 is used to mask surface fluxes as well as model-top
1402	!-- fluxes, which are added further below.
1403	flag = MERGE( 1.0_wp, 0.0_wp, &
1404	BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1405	MERGE( 1.0_wp, 0.0_wp, &
1406	BTEST( wall_flags_total_0(k,j,i), 9 ) )
1407
1408	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1409	u(k+1,j,i) - hom(k+1,1,1,sr) )
1410	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1411	v(k+1,j,i) - hom(k+1,1,2,sr) )
1412	!
1413	!-- Momentum flux wu
1414	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
1415	( w(k,j,i-1) + w(k,j,i) ) &
1416	* rho_air_zw(k) &
1417	* momentumflux_output_conversion(k) &
1418	* ust * rmask(j,i,sr) &
1419	* flag
1420	!
1421	!-- Momentum flux wv
1422	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * &
1423	( w(k,j-1,i) + w(k,j,i) ) &
1424	* rho_air_zw(k) &
1425	* momentumflux_output_conversion(k) &
1426	* vst * rmask(j,i,sr) &
1427	* flag
1428	ENDDO
1429	ENDDO
1430	ENDDO
1431
1432	ENDIF
1433	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1434	!$OMP DO
1435	DO i = nxl, nxr
1436	DO j = nys, nyn
1437	DO k = nzb, nzt
1438	flag = MERGE( 1.0_wp, 0.0_wp, &
1439	BTEST( wall_flags_total_0(k,j,i), 23 ) ) * &
1440	MERGE( 1.0_wp, 0.0_wp, &
1441	BTEST( wall_flags_total_0(k,j,i), 9 ) )
1442	!
1443	!-- Vertical heat flux
1444	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1445	( pt(k,j,i) - hom(k,1,4,sr) + &
1446	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1447	* rho_air_zw(k) &
1448	* heatflux_output_conversion(k) &
1449	* w(k,j,i) * rmask(j,i,sr) * flag
1450	IF ( humidity ) THEN
1451	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1452	q(k+1,j,i) - hom(k+1,1,41,sr) )
1453	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1454	rho_air_zw(k) * &
1455	waterflux_output_conversion(k) * &
1456	rmask(j,i,sr) * flag
1457	ENDIF
1458	IF ( passive_scalar ) THEN
1459	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1460	s(k+1,j,i) - hom(k+1,1,115,sr) )
1461	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1462	rmask(j,i,sr) * flag
1463	ENDIF
1464	ENDDO
1465	ENDDO
1466	ENDDO
1467
1468	ENDIF
1469
1470	!
1471	!-- Density at top follows Neumann condition
1472	IF ( ocean_mode ) THEN
1473	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1474	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1475	ENDIF
1476
1477	!
1478	!-- Divergence of vertical flux of resolved scale energy and pressure
1479	!-- fluctuations as well as flux of pressure fluctuation itself (68).
1480	!-- First calculate the products, then the divergence.
1481	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1482	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) &
1483	THEN
1484	sums_ll = 0.0_wp ! local array
1485
1486	!$OMP DO
1487	DO i = nxl, nxr
1488	DO j = nys, nyn
1489	DO k = nzb+1, nzt
1490	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1491
1492	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1493	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1494	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2&
1495	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1496	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2&
1497	+ w(k,j,i)*2 ) flag
1498
1499	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1500	* ( ( p(k,j,i) + p(k+1,j,i) ) &
1501	/ momentumflux_output_conversion(k) ) &
1502	* flag
1503
1504	ENDDO
1505	ENDDO
1506	ENDDO
1507	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1508	sums_ll(nzt+1,1) = 0.0_wp
1509	sums_ll(0,2) = 0.0_wp
1510	sums_ll(nzt+1,2) = 0.0_wp
1511
1512	DO k = nzb+1, nzt
1513	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1514	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1515	sums_l(k,68,tn) = sums_ll(k,2)
1516	ENDDO
1517	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1518	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1519	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1520
1521	ENDIF
1522
1523	!
1524	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1525	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) &
1526	THEN
1527	!$OMP DO
1528	DO i = nxl, nxr
1529	DO j = nys, nyn
1530	DO k = nzb+1, nzt
1531
1532	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1533
1534	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1535	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1536	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1537	) * ddzw(k) &
1538	* flag
1539
1540	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1541	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1542	) * flag
1543
1544	ENDDO
1545	ENDDO
1546	ENDDO
1547	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1548	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1549
1550	ENDIF
1551
1552	!
1553	!-- Horizontal heat fluxes (subgrid, resolved, total).
1554	!-- Do it only, if profiles shall be plotted.
1555	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1556
1557	!$OMP DO
1558	DO i = nxl, nxr
1559	DO j = nys, nyn
1560	DO k = nzb+1, nzt
1561	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1562	!
1563	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1564	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1565	( kh(k,j,i) + kh(k,j,i-1) ) &
1566	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1567	* rho_air_zw(k) &
1568	* heatflux_output_conversion(k) &
1569	* ddx * rmask(j,i,sr) * flag
1570	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1571	( kh(k,j,i) + kh(k,j-1,i) ) &
1572	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1573	* rho_air_zw(k) &
1574	* heatflux_output_conversion(k) &
1575	* ddy * rmask(j,i,sr) * flag
1576	!
1577	!-- Resolved horizontal heat fluxes upt, vpt
1578	sums_l(k,59,tn) = sums_l(k,59,tn) + &
1579	( u(k,j,i) - hom(k,1,1,sr) ) &
1580	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1581	pt(k,j,i) - hom(k,1,4,sr) ) &
1582	* heatflux_output_conversion(k) &
1583	* flag
1584	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1585	pt(k,j,i) - hom(k,1,4,sr) )
1586	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1587	( v(k,j,i) - hom(k,1,2,sr) ) &
1588	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1589	pt(k,j,i) - hom(k,1,4,sr) ) &
1590	* heatflux_output_conversion(k) &
1591	* flag
1592	ENDDO
1593	ENDDO
1594	ENDDO
1595	!
1596	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1597	sums_l(nzb,58,tn) = 0.0_wp
1598	sums_l(nzb,59,tn) = 0.0_wp
1599	sums_l(nzb,60,tn) = 0.0_wp
1600	sums_l(nzb,61,tn) = 0.0_wp
1601	sums_l(nzb,62,tn) = 0.0_wp
1602	sums_l(nzb,63,tn) = 0.0_wp
1603
1604	ENDIF
1605	!$OMP END PARALLEL
1606
1607	!
1608	!-- Collect current large scale advection and subsidence tendencies for
1609	!-- data output
1610	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1611	!
1612	!-- Interpolation in time of LSF_DATA
1613	nt = 1
1614	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1615	nt = nt + 1
1616	ENDDO
1617	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1618	nt = nt - 1
1619	ENDIF
1620
1621	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
1622	/ ( time_vert(nt+1)-time_vert(nt) )
1623
1624
1625	DO k = nzb, nzt
1626	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
1627	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1628	sums_ls_l(k,1) = td_lsa_q(k,nt) &
1629	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1630	ENDDO
1631
1632	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1633	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1634
1635	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1636
1637	DO k = nzb, nzt
1638	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
1639	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1640	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
1641	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1642	ENDDO
1643
1644	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1645	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1646
1647	ENDIF
1648
1649	ENDIF
1650
1651	tn = 0
1652	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1653	!$ tn = omp_get_thread_num()
1654	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1655	!$OMP DO
1656	DO i = nxl, nxr
1657	DO j = nys, nyn
1658	DO k = nzb+1, nzt+1
1659	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 0 ) )
1660
1661	sums_l(k,100,tn) = sums_l(k,100,tn) + rad_lw_in(k,j,i) &
1662	* rmask(j,i,sr) * flag
1663	sums_l(k,101,tn) = sums_l(k,101,tn) + rad_lw_out(k,j,i) &
1664	* rmask(j,i,sr) * flag
1665	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_sw_in(k,j,i) &
1666	* rmask(j,i,sr) * flag
1667	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_sw_out(k,j,i) &
1668	* rmask(j,i,sr) * flag
1669	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_lw_cs_hr(k,j,i) &
1670	* rmask(j,i,sr) * flag
1671	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_lw_hr(k,j,i) &
1672	* rmask(j,i,sr) * flag
1673	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_sw_cs_hr(k,j,i) &
1674	* rmask(j,i,sr) * flag
1675	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_sw_hr(k,j,i) &
1676	* rmask(j,i,sr) * flag
1677	ENDDO
1678	ENDDO
1679	ENDDO
1680	ENDIF
1681
1682	!
1683	!-- Calculate the profiles for all other modules
1684	CALL module_interface_statistics( 'profiles', sr, tn, dots_max )
1685	!$OMP END PARALLEL
1686
1687	!
1688	!-- Summation of thread sums
1689	IF ( threads_per_task > 1 ) THEN
1690	DO i = 1, threads_per_task-1
1691	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1692	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1693	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1694	sums_l(:,45:pr_palm,i)
1695	IF ( max_pr_user > 0 ) THEN
1696	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1697	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1698	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1699	ENDIF
1700
1701	IF ( air_chemistry ) THEN
1702	IF ( max_pr_cs > 0 ) THEN
1703	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+ max_pr_cs,0) = &
1704	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,0) + &
1705	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,i)
1706
1707	ENDIF
1708	ENDIF
1709	IF ( salsa ) THEN
1710	IF ( max_pr_cs > 0 ) THEN
1711	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) = &
1712	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) + &
1713	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,i)
1714
1715	ENDIF
1716	ENDIF
1717	ENDDO
1718	ENDIF
1719
1720	#if defined( __parallel )
1721
1722	!
1723	!-- Compute total sum from local sums
1724	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1725	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1726	MPI_SUM, comm2d, ierr )
1727	IF ( large_scale_forcing ) THEN
1728	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
1729	MPI_REAL, MPI_SUM, comm2d, ierr )
1730	ENDIF
1731
1732	IF ( air_chemistry .AND. max_pr_cs > 0 ) THEN
1733	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1734	DO i = 1, max_pr_cs
1735	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+i,0), &
1736	sums(nzb,pr_palm+max_pr_user+i), &
1737	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1738	ENDDO
1739	ENDIF
1740
1741	IF ( salsa .AND. max_pr_salsa > 0 ) THEN
1742	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1743	DO i = 1, max_pr_salsa
1744	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+max_pr_cs+i,0), &
1745	sums(nzb,pr_palm+max_pr_user+max_pr_user+i), &
1746	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1747	ENDDO
1748	ENDIF
1749
1750	#else
1751	sums = sums_l(:,:,0)
1752	IF ( large_scale_forcing ) THEN
1753	sums(:,81:88) = sums_ls_l
1754	ENDIF
1755	#endif
1756
1757	!
1758	!-- Final values are obtained by division by the total number of grid points
1759	!-- used for summation. After that store profiles.
1760	!-- Check, if statistical regions do contain at least one grid point at the
1761	!-- respective k-level, otherwise division by zero will lead to undefined
1762	!-- values, which may cause e.g. problems with NetCDF output
1763	!-- Profiles:
1764	DO k = nzb, nzt+1
1765	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1766	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1767	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1768	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1769	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1770	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1771	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1772	sums(k,89:112) = sums(k,89:112) / ngp_2dh(sr)
1773	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1774	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1775	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1776	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1777	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1778	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1779	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1780	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1781	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1782	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1783	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1784	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1785	sums(k,123) = sums(k,123) * ngp_2dh_s_inner(k,sr) / ngp_2dh(sr)
1786	ENDIF
1787	ENDDO
1788
1789	!-- u* and so on
1790	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1791	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1792	!-- above the topography, they are being divided by ngp_2dh(sr)
1793	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1794	ngp_2dh(sr)
1795	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1796	ngp_2dh(sr)
1797	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / & ! ss
1798	ngp_2dh(sr)
1799	sums(nzb+14,pr_palm) = sums(nzb+14,pr_palm) / & ! surface temperature
1800	ngp_2dh(sr)
1801	!-- eges, e*
1802	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1803	ngp_3d(sr)
1804	!-- Old and new divergence
1805	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1806	ngp_3d_inner(sr)
1807
1808	!-- User-defined profiles
1809	IF ( max_pr_user > 0 ) THEN
1810	DO k = nzb, nzt+1
1811	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1812	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1813	ngp_2dh_s_inner(k,sr)
1814	ENDDO
1815	ENDIF
1816
1817	IF ( air_chemistry ) THEN
1818	IF ( max_pr_cs > 0 ) THEN
1819	DO k = nzb, nzt+1
1820	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) = &
1821	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) / &
1822	ngp_2dh_s_inner(k,sr)
1823	ENDDO
1824	ENDIF
1825	ENDIF
1826
1827	IF ( salsa ) THEN
1828	IF ( max_pr_salsa > 0 ) THEN
1829	DO k = nzb, nzt+1
1830	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) = &
1831	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) &
1832	/ ngp_2dh_s_inner(k,sr)
1833	ENDDO
1834	ENDIF
1835	ENDIF
1836
1837	!
1838	!-- Collect horizontal average in hom.
1839	!-- Compute deduced averages (e.g. total heat flux)
1840	hom(:,1,3,sr) = sums(:,3) ! w
1841	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1842	hom(:,1,9,sr) = sums(:,9) ! km
1843	hom(:,1,10,sr) = sums(:,10) ! kh
1844	hom(:,1,11,sr) = sums(:,11) ! l
1845	hom(:,1,12,sr) = sums(:,12) ! w"u"
1846	hom(:,1,13,sr) = sums(:,13) ! wu
1847	hom(:,1,14,sr) = sums(:,14) ! w"v"
1848	hom(:,1,15,sr) = sums(:,15) ! wv
1849	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1850	hom(:,1,17,sr) = sums(:,17) ! wpt
1851	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1852	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1853	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1854	hom(:,1,21,sr) = sums(:,21) ! wptBC
1855	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1856	! profile 24 is initial profile (sa)
1857	! profiles 25-29 left empty for initial
1858	! profiles
1859	hom(:,1,30,sr) = sums(:,30) ! u*2
1860	hom(:,1,31,sr) = sums(:,31) ! v*2
1861	hom(:,1,32,sr) = sums(:,32) ! w*2
1862	hom(:,1,33,sr) = sums(:,33) ! pt*2
1863	hom(:,1,34,sr) = sums(:,34) ! e*
1864	hom(:,1,35,sr) = sums(:,35) ! w2pt
1865	hom(:,1,36,sr) = sums(:,36) ! wpt2
1866	hom(:,1,37,sr) = sums(:,37) ! we
1867	hom(:,1,38,sr) = sums(:,38) ! w*3
1868	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1869	hom(:,1,40,sr) = sums(:,40) ! p
1870	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1871	hom(:,1,46,sr) = sums(:,46) ! wvpt
1872	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1873	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1874	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1875	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1876	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1877	hom(:,1,52,sr) = sums(:,52) ! wqv
1878	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1879	hom(:,1,54,sr) = sums(:,54) ! ql
1880	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1881	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1882	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
1883	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1884	hom(:,1,59,sr) = sums(:,59) ! upt
1885	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1886	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1887	hom(:,1,62,sr) = sums(:,62) ! vpt
1888	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1889	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
1890	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1891	hom(:,1,66,sr) = sums(:,66) ! wsa
1892	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1893	hom(:,1,68,sr) = sums(:,68) ! wp
1894	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
1895	hom(:,1,70,sr) = sums(:,70) ! q*2
1896	hom(:,1,71,sr) = sums(:,71) ! prho
1897	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
1898	hom(:,1,123,sr) = sums(:,123) ! nc
1899	hom(:,1,73,sr) = sums(:,73) ! nr
1900	hom(:,1,74,sr) = sums(:,74) ! qr
1901	hom(:,1,75,sr) = sums(:,75) ! qc
1902	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1903	! 77 is initial density profile
1904	hom(:,1,78,sr) = ug ! ug
1905	hom(:,1,79,sr) = vg ! vg
1906	hom(:,1,80,sr) = w_subs ! w_subs
1907
1908	IF ( large_scale_forcing ) THEN
1909	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1910	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1911	IF ( use_subsidence_tendencies ) THEN
1912	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1913	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1914	ELSE
1915	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1916	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1917	ENDIF
1918	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1919	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1920	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1921	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1922	ENDIF
1923
1924	IF ( land_surface ) THEN
1925	hom(:,1,89,sr) = sums(:,89) ! t_soil
1926	! 90 is initial t_soil profile
1927	hom(:,1,91,sr) = sums(:,91) ! m_soil
1928	! 92 is initial m_soil profile
1929	hom(:,1,93,sr) = sums(:,93) ! ghf
1930	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
1931	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
1932	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
1933	hom(:,1,97,sr) = sums(:,97) ! r_a
1934	hom(:,1,98,sr) = sums(:,98) ! r_s
1935
1936	ENDIF
1937
1938	IF ( radiation ) THEN
1939	hom(:,1,99,sr) = sums(:,99) ! rad_net
1940	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
1941	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
1942	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
1943	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
1944
1945	IF ( radiation_scheme == 'rrtmg' ) THEN
1946	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
1947	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
1948	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
1949	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
1950
1951	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
1952	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
1953	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
1954	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
1955	ENDIF
1956	ENDIF
1957
1958	hom(:,1,112,sr) = sums(:,112) !: L
1959
1960	IF ( passive_scalar ) THEN
1961	hom(:,1,117,sr) = sums(:,117) ! w"s"
1962	hom(:,1,114,sr) = sums(:,114) ! ws
1963	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
1964	hom(:,1,116,sr) = sums(:,116) ! s*2
1965	ENDIF
1966
1967	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
1968	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
1969
1970	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
1971	! u, w'u', w'v', t (in last profile)
1972
1973	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
1974	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
1975	sums(:,pr_palm+1:pr_palm+max_pr_user)
1976	ENDIF
1977
1978	IF ( air_chemistry ) THEN
1979	IF ( max_pr_cs > 0 ) THEN ! chem_spcs profiles
1980	hom(:, 1, pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs, sr) = &
1981	sums(:, pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs)
1982	ENDIF
1983	ENDIF
1984
1985	IF ( salsa ) THEN
1986	IF ( max_pr_salsa > 0 ) THEN ! salsa profiles
1987	hom(:,1,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa, sr) = &
1988	sums(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa)
1989	ENDIF
1990	ENDIF
1991	!
1992	!-- Determine the boundary layer height using two different schemes.
1993	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
1994	!-- first relative minimum (maximum) of the total heat flux.
1995	!-- The corresponding height is assumed as the boundary layer height, if it
1996	!-- is less than 1.5 times the height where the heat flux becomes negative
1997	!-- (positive) for the first time. Attention: the resolved vertical sensible
1998	!-- heat flux (hom(:,1,17,sr) = wpt) is not known at the beginning because
1999	!-- the calculation happens in advec_s_ws which is called after
2000	!-- flow_statistics. Therefore z_i is directly taken from restart data at
2001	!-- the beginning of restart runs.
2002	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .OR. &
2003	simulated_time_at_begin /= simulated_time ) THEN
2004
2005	z_i(1) = 0.0_wp
2006	first = .TRUE.
2007
2008	IF ( ocean_mode ) THEN
2009	DO k = nzt, nzb+1, -1
2010	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2011	first = .FALSE.
2012	height = zw(k)
2013	ENDIF
2014	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2015	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2016	IF ( zw(k) < 1.5_wp * height ) THEN
2017	z_i(1) = zw(k)
2018	ELSE
2019	z_i(1) = height
2020	ENDIF
2021	EXIT
2022	ENDIF
2023	ENDDO
2024	ELSE
2025	DO k = nzb, nzt-1
2026	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2027	first = .FALSE.
2028	height = zw(k)
2029	ENDIF
2030	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2031	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2032	IF ( zw(k) < 1.5_wp * height ) THEN
2033	z_i(1) = zw(k)
2034	ELSE
2035	z_i(1) = height
2036	ENDIF
2037	EXIT
2038	ENDIF
2039	ENDDO
2040	ENDIF
2041
2042	!
2043	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
2044	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
2045	!-- maximal local temperature gradient: starting from the second (the
2046	!-- last but one) vertical gridpoint, the local gradient must be at least
2047	!-- 0.2K/100m and greater than the next four gradients.
2048	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2049	!-- ocean case!
2050	z_i(2) = 0.0_wp
2051	DO k = nzb+1, nzt+1
2052	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2053	ENDDO
2054	dptdz_threshold = 0.2_wp / 100.0_wp
2055
2056	IF ( ocean_mode ) THEN
2057	DO k = nzt+1, nzb+5, -1
2058	IF ( dptdz(k) > dptdz_threshold .AND. &
2059	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND.&
2060	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2061	z_i(2) = zw(k-1)
2062	EXIT
2063	ENDIF
2064	ENDDO
2065	ELSE
2066	DO k = nzb+1, nzt-3
2067	IF ( dptdz(k) > dptdz_threshold .AND. &
2068	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND.&
2069	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2070	z_i(2) = zw(k-1)
2071	EXIT
2072	ENDIF
2073	ENDDO
2074	ENDIF
2075
2076	ENDIF
2077
2078	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2079	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2080
2081	!
2082	!-- Determine vertical index which is nearest to the mean surface level
2083	!-- height of the respective statistic region
2084	DO k = nzb, nzt
2085	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
2086	k_surface_level = k
2087	EXIT
2088	ENDIF
2089	ENDDO
2090
2091	!
2092	!-- Computation of both the characteristic vertical velocity and
2093	!-- the characteristic convective boundary layer temperature.
2094	!-- The inversion height entering into the equation is defined with respect
2095	!-- to the mean surface level height of the respective statistic region.
2096	!-- The horizontal average at surface level index + 1 is input for the
2097	!-- average temperature.
2098	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp )&
2099	THEN
2100	hom(nzb+8,1,pr_palm,sr) = &
2101	( g / hom(k_surface_level+1,1,4,sr) * &
2102	( hom(k_surface_level,1,18,sr) / &
2103	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
2104	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
2105	ELSE
2106	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
2107	ENDIF
2108
2109	!
2110	!-- Collect the time series quantities. Please note, timeseries quantities
2111	!-- which are collected from horizontally averaged profiles, e.g. wpt
2112	!-- or pt(zp), are treated specially. In case of elevated model surfaces,
2113	!-- index nzb+1 might be within topography and data will be zero. Therefore,
2114	!-- take value for the first atmosphere index, which is topo_min_level+1.
2115	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2116	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2117	ts_value(3,sr) = dt_3d
2118	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2119	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2120	ts_value(6,sr) = u_max
2121	ts_value(7,sr) = v_max
2122	ts_value(8,sr) = w_max
2123	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2124	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2125	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2126	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2127	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2128	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2129	ts_value(15,sr) = hom(topo_min_level+1,1,16,sr) ! w'pt' at k=1
2130	ts_value(16,sr) = hom(topo_min_level+1,1,18,sr) ! wpt at k=1
2131	ts_value(17,sr) = hom(nzb+14,1,pr_palm,sr) ! pt(0)
2132	ts_value(18,sr) = hom(topo_min_level+1,1,4,sr) ! pt(zp)
2133	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2134	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2135	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2136
2137	IF ( .NOT. neutral ) THEN
2138	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
2139	ELSE
2140	ts_value(22,sr) = 1.0E10_wp
2141	ENDIF
2142
2143	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2144
2145	IF ( passive_scalar ) THEN
2146	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
2147	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
2148	ENDIF
2149
2150	!
2151	!-- Collect land surface model timeseries
2152	IF ( land_surface ) THEN
2153	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2154	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2155	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2156	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2157	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2158	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2159	ENDIF
2160	!
2161	!-- Collect radiation model timeseries
2162	IF ( radiation ) THEN
2163	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2164	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2165	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2166	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2167	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2168
2169	IF ( radiation_scheme == 'rrtmg' ) THEN
2170	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2171	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2172	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2173	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2174	ENDIF
2175
2176	ENDIF
2177
2178	!
2179	!-- Calculate additional statistics provided by other modules
2180	CALL module_interface_statistics( 'time_series', sr, 0, dots_max )
2181
2182	ENDDO ! loop of the subregions
2183
2184	!
2185	!-- If required, sum up horizontal averages for subsequent time averaging.
2186	!-- Do not sum, if flow statistics is called before the first initial time step.
2187	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2188	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2189	hom_sum = hom_sum + hom(:,1,:,:)
2190	average_count_pr = average_count_pr + 1
2191	do_sum = .FALSE.
2192	ENDIF
2193
2194	!
2195	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2196	!-- This flag is reset after each time step in time_integration.
2197	flow_statistics_called = .TRUE.
2198
2199	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2200
2201
2202	END SUBROUTINE flow_statistics

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