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source: palm/trunk/SOURCE/flow_statistics.f90 @ 3651

Last change on this file since 3651 was 3651, checked in by suehring, 6 years ago
Bugfix, restore OMP END PARALLEL block (accidantly remove in -r 3637)
Property svn:keywords set to `Id`
File size: 107.3 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 1997-2019 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! ------------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: flow_statistics.f90 3651 2019-01-07 12:32:08Z suehring $
27	! Bugfix, terminate OMP Parallel block
28	!
29	! 3637 2018-12-20 01:51:36Z knoop
30	! Implementation of the PALM module interface
31	!
32	! 3458 2018-10-30 14:51:23Z kanani
33	! from chemistry branch r3443, basit:
34	! bug fixed in chemistry profiles
35	!
36	! 3452 2018-10-30 13:13:34Z schwenkel
37	! Bugfix for profiles output
38	!
39	! 3298 2018-10-02 12:21:11Z kanani
40	! - Minor formatting (kanani)
41	! - Added .AND. max_pr_cs > 0 before MPI_ALLREDUCE call (forkel)
42	! - Data arrays, sums, sums_l, hom, hom_sum updated for chem species (basit)
43	! - Directives of parallelism added for chemistry (basit)
44	! - Call for chem_statistics added (basit)
45	!
46	! 3294 2018-10-01 02:37:10Z raasch
47	! ocean renamed ocean_mode
48	!
49	! 3274 2018-09-24 15:42:55Z knoop
50	! Modularization of all bulk cloud physics code components
51	!
52	! 3241 2018-09-12 15:02:00Z raasch
53	! unused variables removed
54	!
55	! 3042 2018-05-25 10:44:37Z schwenkel
56	! Changed the name specific humidity to mixing ratio
57	!
58	! 3040 2018-05-25 10:22:08Z schwenkel
59	! Comments related to the calculation of the inversion height expanded
60	!
61	! 3003 2018-04-23 10:22:58Z Giersch
62	! The inversion height will not be calcuated before the first timestep in
63	! case of restarts.
64	!
65	! 2968 2018-04-13 11:52:24Z suehring
66	! Bugfix in output of timeseries quantities in case of elevated model surfaces.
67	!
68	! 2817 2018-02-19 16:32:21Z knoop
69	! Preliminary gust module interface implemented
70	!
71	! 2773 2018-01-30 14:12:54Z suehring
72	! Timeseries output of surface temperature.
73	!
74	! 2753 2018-01-16 14:16:49Z suehring
75	! Tile approach for spectral albedo implemented.
76	!
77	! 2718 2018-01-02 08:49:38Z maronga
78	! Corrected "Former revisions" section
79	!
80	! 2696 2017-12-14 17:12:51Z kanani
81	! Change in file header (GPL part)
82	! Bugfix in evaluation of surface quantities in case different surface types
83	! are used (MS)
84	!
85	! 2674 2017-12-07 11:49:21Z suehring
86	! Bugfix in output conversion of resolved-scale momentum fluxes in case of
87	! PW advections scheme.
88	!
89	! 2320 2017-07-21 12:47:43Z suehring
90	! Modularize large-scale forcing and nudging
91	!
92	! 2296 2017-06-28 07:53:56Z maronga
93	! Enabled output of radiation quantities for radiation_scheme = 'constant'
94	!
95	! 2292 2017-06-20 09:51:42Z schwenkel
96	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
97	! includes two more prognostic equations for cloud drop concentration (nc)
98	! and cloud water content (qc).
99	!
100	! 2270 2017-06-09 12:18:47Z maronga
101	! Revised numbering (removed 2 timeseries)
102	!
103	! 2252 2017-06-07 09:35:37Z knoop
104	! perturbation pressure now depending on flux_output_mode
105	!
106	! 2233 2017-05-30 18:08:54Z suehring
107	!
108	! 2232 2017-05-30 17:47:52Z suehring
109	! Adjustments to new topography and surface concept
110	!
111	! 2118 2017-01-17 16:38:49Z raasch
112	! OpenACC version of subroutine removed
113	!
114	! 2073 2016-11-30 14:34:05Z raasch
115	! openmp bugfix: large scale forcing calculations cannot be executed thread
116	! parallel
117	!
118	! 2037 2016-10-26 11:15:40Z knoop
119	! Anelastic approximation implemented
120	!
121	! 2031 2016-10-21 15:11:58Z knoop
122	! renamed variable rho to rho_ocean
123	!
124	! 2026 2016-10-18 10:27:02Z suehring
125	! Bugfix, enable output of s*2.
126	! Change, calculation of domain-averaged perturbation energy.
127	! Some formatting adjustments.
128	!
129	! 2000 2016-08-20 18:09:15Z knoop
130	! Forced header and separation lines into 80 columns
131	!
132	! 1976 2016-07-27 13:28:04Z maronga
133	! Removed some unneeded __rrtmg preprocessor directives
134	!
135	! 1960 2016-07-12 16:34:24Z suehring
136	! Separate humidity and passive scalar
137	!
138	! 1918 2016-05-27 14:35:57Z raasch
139	! in case of Wicker-Skamarock scheme, calculate disturbance kinetic energy here,
140	! if flow_statistics is called before the first initial time step
141	!
142	! 1853 2016-04-11 09:00:35Z maronga
143	! Adjusted for use with radiation_scheme = constant
144	!
145	! 1849 2016-04-08 11:33:18Z hoffmann
146	! prr moved to arrays_3d
147	!
148	! 1822 2016-04-07 07:49:42Z hoffmann
149	! Output of bulk microphysics simplified.
150	!
151	! 1815 2016-04-06 13:49:59Z raasch
152	! cpp-directives for intel openmp bug removed
153	!
154	! 1783 2016-03-06 18:36:17Z raasch
155	! +module netcdf_interface
156	!
157	! 1747 2016-02-08 12:25:53Z raasch
158	! small bugfixes for accelerator version
159	!
160	! 1738 2015-12-18 13:56:05Z raasch
161	! bugfixes for calculations in statistical regions which do not contain grid
162	! points in the lowest vertical levels, mean surface level height considered
163	! in the calculation of the characteristic vertical velocity,
164	! old upstream parts removed
165	!
166	! 1709 2015-11-04 14:47:01Z maronga
167	! Updated output of Obukhov length
168	!
169	! 1691 2015-10-26 16:17:44Z maronga
170	! Revised calculation of Obukhov length. Added output of radiative heating >
171	! rates for RRTMG.
172	!
173	! 1682 2015-10-07 23:56:08Z knoop
174	! Code annotations made doxygen readable
175	!
176	! 1658 2015-09-18 10:52:53Z raasch
177	! bugfix: temporary reduction variables in the openacc branch are now
178	! initialized to zero
179	!
180	! 1654 2015-09-17 09:20:17Z raasch
181	! FORTRAN bugfix of r1652
182	!
183	! 1652 2015-09-17 08:12:24Z raasch
184	! bugfix in calculation of energy production by turbulent transport of TKE
185	!
186	! 1593 2015-05-16 13:58:02Z raasch
187	! FORTRAN errors removed from openacc branch
188	!
189	! 1585 2015-04-30 07:05:52Z maronga
190	! Added output of timeseries and profiles for RRTMG
191	!
192	! 1571 2015-03-12 16:12:49Z maronga
193	! Bugfix: output of rad_net and rad_sw_in
194	!
195	! 1567 2015-03-10 17:57:55Z suehring
196	! Reverse modifications made for monotonic limiter.
197	!
198	! 1557 2015-03-05 16:43:04Z suehring
199	! Adjustments for monotonic limiter
200	!
201	! 1555 2015-03-04 17:44:27Z maronga
202	! Added output of r_a and r_s.
203	!
204	! 1551 2015-03-03 14:18:16Z maronga
205	! Added suppport for land surface model and radiation model output.
206	!
207	! 1498 2014-12-03 14:09:51Z suehring
208	! Comments added
209	!
210	! 1482 2014-10-18 12:34:45Z raasch
211	! missing ngp_sums_ls added in accelerator version
212	!
213	! 1450 2014-08-21 07:31:51Z heinze
214	! bugfix: calculate fac only for simulated_time >= 0.0
215	!
216	! 1396 2014-05-06 13:37:41Z raasch
217	! bugfix: "copyin" replaced by "update device" in openacc-branch
218	!
219	! 1386 2014-05-05 13:55:30Z boeske
220	! bugfix: simulated time before the last timestep is needed for the correct
221	! calculation of the profiles of large scale forcing tendencies
222	!
223	! 1382 2014-04-30 12:15:41Z boeske
224	! Renamed variables which store large scale forcing tendencies
225	! pt_lsa -> td_lsa_lpt, pt_subs -> td_sub_lpt,
226	! q_lsa -> td_lsa_q, q_subs -> td_sub_q,
227	! added Neumann boundary conditions for profile data output of large scale
228	! advection and subsidence terms at nzt+1
229	!
230	! 1374 2014-04-25 12:55:07Z raasch
231	! bugfix: syntax errors removed from openacc-branch
232	! missing variables added to ONLY-lists
233	!
234	! 1365 2014-04-22 15:03:56Z boeske
235	! Output of large scale advection, large scale subsidence and nudging tendencies
236	! +sums_ls_l, ngp_sums_ls, use_subsidence_tendencies
237	!
238	! 1353 2014-04-08 15:21:23Z heinze
239	! REAL constants provided with KIND-attribute
240	!
241	! 1322 2014-03-20 16:38:49Z raasch
242	! REAL constants defined as wp-kind
243	!
244	! 1320 2014-03-20 08:40:49Z raasch
245	! ONLY-attribute added to USE-statements,
246	! kind-parameters added to all INTEGER and REAL declaration statements,
247	! kinds are defined in new module kinds,
248	! revision history before 2012 removed,
249	! comment fields (!:) to be used for variable explanations added to
250	! all variable declaration statements
251	!
252	! 1299 2014-03-06 13:15:21Z heinze
253	! Output of large scale vertical velocity w_subs
254	!
255	! 1257 2013-11-08 15:18:40Z raasch
256	! openacc "end parallel" replaced by "end parallel loop"
257	!
258	! 1241 2013-10-30 11:36:58Z heinze
259	! Output of ug and vg
260	!
261	! 1221 2013-09-10 08:59:13Z raasch
262	! ported for openACC in separate #else branch
263	!
264	! 1179 2013-06-14 05:57:58Z raasch
265	! comment for profile 77 added
266	!
267	! 1115 2013-03-26 18:16:16Z hoffmann
268	! ql is calculated by calc_liquid_water_content
269	!
270	! 1111 2013-03-08 23:54:10Z raasch
271	! openACC directive added
272	!
273	! 1053 2012-11-13 17:11:03Z hoffmann
274	! additions for two-moment cloud physics scheme:
275	! +nr, qr, qc, prr
276	!
277	! 1036 2012-10-22 13:43:42Z raasch
278	! code put under GPL (PALM 3.9)
279	!
280	! 1007 2012-09-19 14:30:36Z franke
281	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
282	! turbulent fluxes of WS-scheme
283	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
284	! droplets at nzb and nzt added
285	!
286	! 801 2012-01-10 17:30:36Z suehring
287	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
288	!
289	! Revision 1.1 1997/08/11 06:15:17 raasch
290	! Initial revision
291	!
292	!
293	! Description:
294	! ------------
295	!> Compute average profiles and further average flow quantities for the different
296	!> user-defined (sub-)regions. The region indexed 0 is the total model domain.
297	!>
298	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
299	!> lower vertical index for k-loops for all variables, although strictly
300	!> speaking the k-loops would have to be split up according to the staggered
301	!> grid. However, this implies no error since staggered velocity components
302	!> are zero at the walls and inside buildings.
303	!------------------------------------------------------------------------------!
304	SUBROUTINE flow_statistics
305
306
307	USE arrays_3d, &
308	ONLY: ddzu, ddzw, e, heatflux_output_conversion, hyp, km, kh, &
309	momentumflux_output_conversion, nc, nr, p, prho, prr, pt, q, &
310	qc, ql, qr, rho_air, rho_air_zw, rho_ocean, s, &
311	sa, u, ug, v, vg, vpt, w, w_subs, waterflux_output_conversion, &
312	zw, d_exner
313
314	USE basic_constants_and_equations_mod, &
315	ONLY: g, lv_d_cp
316
317	USE bulk_cloud_model_mod, &
318	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
319
320	USE chem_modules, &
321	ONLY: max_pr_cs
322
323	USE control_parameters, &
324	ONLY: air_chemistry, average_count_pr, cloud_droplets, do_sum, &
325	dt_3d, humidity, initializing_actions, land_surface, &
326	large_scale_forcing, large_scale_subsidence, max_pr_user, &
327	message_string, neutral, ocean_mode, passive_scalar, &
328	simulated_time, simulated_time_at_begin, &
329	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
330	ws_scheme_mom, ws_scheme_sca
331
332	USE cpulog, &
333	ONLY: cpu_log, log_point
334
335	USE grid_variables, &
336	ONLY: ddx, ddy
337
338	USE indices, &
339	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
340	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzt, topo_min_level, &
341	wall_flags_0
342
343	USE kinds
344
345	USE land_surface_model_mod, &
346	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
347
348	USE lsf_nudging_mod, &
349	ONLY: td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert
350
351	USE module_interface, &
352	ONLY: module_interface_statistics
353
354	USE netcdf_interface, &
355	ONLY: dots_rad, dots_soil, dots_max
356
357	USE pegrid
358
359	USE radiation_model_mod, &
360	ONLY: radiation, radiation_scheme, &
361	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
362	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
363
364	#if defined ( __rrtmg )
365	USE radiation_model_mod, &
366	ONLY: rrtm_aldif, rrtm_aldir, rrtm_asdif, rrtm_asdir
367	#endif
368
369	USE statistics
370
371	USE surface_mod, &
372	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
373
374
375	IMPLICIT NONE
376
377	INTEGER(iwp) :: i !<
378	INTEGER(iwp) :: j !<
379	INTEGER(iwp) :: k !<
380	INTEGER(iwp) :: ki !<
381	INTEGER(iwp) :: k_surface_level !<
382	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
383	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
384	INTEGER(iwp) :: nt !<
385	!$ INTEGER(iwp) :: omp_get_thread_num !<
386	INTEGER(iwp) :: sr !<
387	INTEGER(iwp) :: tn !<
388
389	LOGICAL :: first !<
390
391	REAL(wp) :: dptdz_threshold !<
392	REAL(wp) :: fac !<
393	REAL(wp) :: flag !<
394	REAL(wp) :: height !<
395	REAL(wp) :: pts !<
396	REAL(wp) :: sums_l_etot !<
397	REAL(wp) :: ust !<
398	REAL(wp) :: ust2 !<
399	REAL(wp) :: u2 !<
400	REAL(wp) :: vst !<
401	REAL(wp) :: vst2 !<
402	REAL(wp) :: v2 !<
403	REAL(wp) :: w2 !<
404
405	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
406	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
407
408	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
409
410
411	!
412	!-- To be on the safe side, check whether flow_statistics has already been
413	!-- called once after the current time step
414	IF ( flow_statistics_called ) THEN
415
416	message_string = 'flow_statistics is called two times within one ' // &
417	'timestep'
418	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
419
420	ENDIF
421
422	!
423	!-- Compute statistics for each (sub-)region
424	DO sr = 0, statistic_regions
425
426	!
427	!-- Initialize (local) summation array
428	sums_l = 0.0_wp
429
430	!
431	!-- Store sums that have been computed in other subroutines in summation
432	!-- array
433	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
434	!-- WARNING: next line still has to be adjusted for OpenMP
435	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
436	heatflux_output_conversion ! heat flux from advec_s_bc
437	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
438	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
439
440	!
441	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
442	!-- scale) vertical fluxes and velocity variances by using commonly-
443	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
444	!-- in combination with the 5th order advection scheme, pronounced
445	!-- artificial kinks could be observed in the vertical profiles near the
446	!-- surface. Please note: these kinks were not related to the model truth,
447	!-- i.e. these kinks are just related to an evaluation problem.
448	!-- In order avoid these kinks, vertical fluxes and horizontal as well
449	!-- vertical velocity variances are calculated directly within the advection
450	!-- routines, according to the numerical discretization, to evaluate the
451	!-- statistical quantities as they will appear within the prognostic
452	!-- equations.
453	!-- Copy the turbulent quantities, evaluated in the advection routines to
454	!-- the local array sums_l() for further computations.
455	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
456
457	!
458	!-- According to the Neumann bc for the horizontal velocity components,
459	!-- the corresponding fluxes has to satisfiy the same bc.
460	IF ( ocean_mode ) THEN
461	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
462	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
463	ENDIF
464
465	DO i = 0, threads_per_task-1
466	!
467	!-- Swap the turbulent quantities evaluated in advec_ws.
468	sums_l(:,13,i) = sums_wsus_ws_l(:,i) &
469	* momentumflux_output_conversion ! wu
470	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) &
471	* momentumflux_output_conversion ! wv
472	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
473	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
474	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
475	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
476	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
477	sums_ws2_ws_l(:,i) ) ! e*
478	ENDDO
479
480	ENDIF
481
482	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
483
484	DO i = 0, threads_per_task-1
485	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
486	* heatflux_output_conversion ! wpt
487	IF ( ocean_mode ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
488	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
489	* waterflux_output_conversion ! wq
490	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
491	ENDDO
492
493	ENDIF
494	!
495	!-- Horizontally averaged profiles of horizontal velocities and temperature.
496	!-- They must have been computed before, because they are already required
497	!-- for other horizontal averages.
498	tn = 0
499	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
500	!$ tn = omp_get_thread_num()
501	!$OMP DO
502	DO i = nxl, nxr
503	DO j = nys, nyn
504	DO k = nzb, nzt+1
505	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
506	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) &
507	* flag
508	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) &
509	* flag
510	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) &
511	* flag
512	ENDDO
513	ENDDO
514	ENDDO
515
516	!
517	!-- Horizontally averaged profile of salinity
518	IF ( ocean_mode ) THEN
519	!$OMP DO
520	DO i = nxl, nxr
521	DO j = nys, nyn
522	DO k = nzb, nzt+1
523	sums_l(k,23,tn) = sums_l(k,23,tn) + sa(k,j,i) &
524	* rmask(j,i,sr) &
525	* MERGE( 1.0_wp, 0.0_wp, &
526	BTEST( wall_flags_0(k,j,i), 22 ) )
527	ENDDO
528	ENDDO
529	ENDDO
530	ENDIF
531
532	!
533	!-- Horizontally averaged profiles of virtual potential temperature,
534	!-- total water content, water vapor mixing ratio and liquid water potential
535	!-- temperature
536	IF ( humidity ) THEN
537	!$OMP DO
538	DO i = nxl, nxr
539	DO j = nys, nyn
540	DO k = nzb, nzt+1
541	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
542	sums_l(k,44,tn) = sums_l(k,44,tn) + &
543	vpt(k,j,i) * rmask(j,i,sr) * flag
544	sums_l(k,41,tn) = sums_l(k,41,tn) + &
545	q(k,j,i) * rmask(j,i,sr) * flag
546	ENDDO
547	ENDDO
548	ENDDO
549	IF ( bulk_cloud_model ) THEN
550	!$OMP DO
551	DO i = nxl, nxr
552	DO j = nys, nyn
553	DO k = nzb, nzt+1
554	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
555	sums_l(k,42,tn) = sums_l(k,42,tn) + &
556	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) &
557	* flag
558	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
559	pt(k,j,i) + lv_d_cp * d_exner(k) * ql(k,j,i) &
560	) * rmask(j,i,sr) &
561	* flag
562	ENDDO
563	ENDDO
564	ENDDO
565	ENDIF
566	ENDIF
567
568	!
569	!-- Horizontally averaged profiles of passive scalar
570	IF ( passive_scalar ) THEN
571	!$OMP DO
572	DO i = nxl, nxr
573	DO j = nys, nyn
574	DO k = nzb, nzt+1
575	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
576	* rmask(j,i,sr) &
577	* MERGE( 1.0_wp, 0.0_wp, &
578	BTEST( wall_flags_0(k,j,i), 22 ) )
579	ENDDO
580	ENDDO
581	ENDDO
582	ENDIF
583	!$OMP END PARALLEL
584	!
585	!-- Summation of thread sums
586	IF ( threads_per_task > 1 ) THEN
587	DO i = 1, threads_per_task-1
588	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
589	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
590	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
591	IF ( ocean_mode ) THEN
592	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
593	ENDIF
594	IF ( humidity ) THEN
595	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
596	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
597	IF ( bulk_cloud_model ) THEN
598	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
599	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
600	ENDIF
601	ENDIF
602	IF ( passive_scalar ) THEN
603	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
604	ENDIF
605	ENDDO
606	ENDIF
607
608	#if defined( __parallel )
609	!
610	!-- Compute total sum from local sums
611	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
612	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
613	MPI_SUM, comm2d, ierr )
614	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
615	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
616	MPI_SUM, comm2d, ierr )
617	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
618	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
619	MPI_SUM, comm2d, ierr )
620	IF ( ocean_mode ) THEN
621	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
622	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
623	MPI_REAL, MPI_SUM, comm2d, ierr )
624	ENDIF
625	IF ( humidity ) THEN
626	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
627	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
628	MPI_REAL, MPI_SUM, comm2d, ierr )
629	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
630	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
631	MPI_REAL, MPI_SUM, comm2d, ierr )
632	IF ( bulk_cloud_model ) THEN
633	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
634	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
635	MPI_REAL, MPI_SUM, comm2d, ierr )
636	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
637	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
638	MPI_REAL, MPI_SUM, comm2d, ierr )
639	ENDIF
640	ENDIF
641
642	IF ( passive_scalar ) THEN
643	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
644	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, &
645	MPI_REAL, MPI_SUM, comm2d, ierr )
646	ENDIF
647	#else
648	sums(:,1) = sums_l(:,1,0)
649	sums(:,2) = sums_l(:,2,0)
650	sums(:,4) = sums_l(:,4,0)
651	IF ( ocean_mode ) sums(:,23) = sums_l(:,23,0)
652	IF ( humidity ) THEN
653	sums(:,44) = sums_l(:,44,0)
654	sums(:,41) = sums_l(:,41,0)
655	IF ( bulk_cloud_model ) THEN
656	sums(:,42) = sums_l(:,42,0)
657	sums(:,43) = sums_l(:,43,0)
658	ENDIF
659	ENDIF
660	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
661	#endif
662
663	!
664	!-- Final values are obtained by division by the total number of grid points
665	!-- used for summation. After that store profiles.
666	sums(:,1) = sums(:,1) / ngp_2dh(sr)
667	sums(:,2) = sums(:,2) / ngp_2dh(sr)
668	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
669	hom(:,1,1,sr) = sums(:,1) ! u
670	hom(:,1,2,sr) = sums(:,2) ! v
671	hom(:,1,4,sr) = sums(:,4) ! pt
672
673
674	!
675	!-- Salinity
676	IF ( ocean_mode ) THEN
677	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
678	hom(:,1,23,sr) = sums(:,23) ! sa
679	ENDIF
680
681	!
682	!-- Humidity and cloud parameters
683	IF ( humidity ) THEN
684	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
685	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
686	hom(:,1,44,sr) = sums(:,44) ! vpt
687	hom(:,1,41,sr) = sums(:,41) ! qv (q)
688	IF ( bulk_cloud_model ) THEN
689	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
690	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
691	hom(:,1,42,sr) = sums(:,42) ! qv
692	hom(:,1,43,sr) = sums(:,43) ! pt
693	ENDIF
694	ENDIF
695
696	!
697	!-- Passive scalar
698	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / &
699	ngp_2dh_s_inner(:,sr) ! s
700
701	!
702	!-- Horizontally averaged profiles of the remaining prognostic variables,
703	!-- variances, the total and the perturbation energy (single values in last
704	!-- column of sums_l) and some diagnostic quantities.
705	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
706	!-- ---- speaking the following k-loop would have to be split up and
707	!-- rearranged according to the staggered grid.
708	!-- However, this implies no error since staggered velocity components
709	!-- are zero at the walls and inside buildings.
710	tn = 0
711	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, &
712	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
713	!$OMP w2, flag, m, ki, l )
714	!$ tn = omp_get_thread_num()
715	!$OMP DO
716	DO i = nxl, nxr
717	DO j = nys, nyn
718	sums_l_etot = 0.0_wp
719	DO k = nzb, nzt+1
720	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
721	!
722	!-- Prognostic and diagnostic variables
723	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) &
724	* flag
725	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) &
726	* flag
727	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) &
728	* flag
729	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) &
730	* flag
731	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
732	/ momentumflux_output_conversion(k) ) &
733	* flag
734
735	sums_l(k,33,tn) = sums_l(k,33,tn) + &
736	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)&
737	* flag
738
739	IF ( humidity ) THEN
740	sums_l(k,70,tn) = sums_l(k,70,tn) + &
741	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)&
742	* flag
743	ENDIF
744	IF ( passive_scalar ) THEN
745	sums_l(k,116,tn) = sums_l(k,116,tn) + &
746	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr)&
747	* flag
748	ENDIF
749	!
750	!-- Higher moments
751	!-- (Computation of the skewness of w further below)
752	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) &
753	* flag
754
755	sums_l_etot = sums_l_etot + &
756	0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + &
757	w(k,j,i)*2 ) rmask(j,i,sr)&
758	* flag
759	ENDDO
760	!
761	!-- Total and perturbation energy for the total domain (being
762	!-- collected in the last column of sums_l). Summation of these
763	!-- quantities is seperated from the previous loop in order to
764	!-- allow vectorization of that loop.
765	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
766	!
767	!-- 2D-arrays (being collected in the last column of sums_l)
768	IF ( surf_def_h(0)%end_index(j,i) >= &
769	surf_def_h(0)%start_index(j,i) ) THEN
770	m = surf_def_h(0)%start_index(j,i)
771	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
772	surf_def_h(0)%us(m) * rmask(j,i,sr)
773	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
774	surf_def_h(0)%usws(m) * rmask(j,i,sr)
775	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
776	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
777	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
778	surf_def_h(0)%ts(m) * rmask(j,i,sr)
779	IF ( humidity ) THEN
780	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
781	surf_def_h(0)%qs(m) * rmask(j,i,sr)
782	ENDIF
783	IF ( passive_scalar ) THEN
784	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
785	surf_def_h(0)%ss(m) * rmask(j,i,sr)
786	ENDIF
787	!
788	!-- Summation of surface temperature.
789	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
790	surf_def_h(0)%pt_surface(m) * &
791	rmask(j,i,sr)
792	ENDIF
793	IF ( surf_lsm_h%end_index(j,i) >= surf_lsm_h%start_index(j,i) ) THEN
794	m = surf_lsm_h%start_index(j,i)
795	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
796	surf_lsm_h%us(m) * rmask(j,i,sr)
797	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
798	surf_lsm_h%usws(m) * rmask(j,i,sr)
799	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
800	surf_lsm_h%vsws(m) * rmask(j,i,sr)
801	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
802	surf_lsm_h%ts(m) * rmask(j,i,sr)
803	IF ( humidity ) THEN
804	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
805	surf_lsm_h%qs(m) * rmask(j,i,sr)
806	ENDIF
807	IF ( passive_scalar ) THEN
808	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
809	surf_lsm_h%ss(m) * rmask(j,i,sr)
810	ENDIF
811	!
812	!-- Summation of surface temperature.
813	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
814	surf_lsm_h%pt_surface(m) * &
815	rmask(j,i,sr)
816	ENDIF
817	IF ( surf_usm_h%end_index(j,i) >= surf_usm_h%start_index(j,i) ) THEN
818	m = surf_usm_h%start_index(j,i)
819	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
820	surf_usm_h%us(m) * rmask(j,i,sr)
821	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
822	surf_usm_h%usws(m) * rmask(j,i,sr)
823	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
824	surf_usm_h%vsws(m) * rmask(j,i,sr)
825	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
826	surf_usm_h%ts(m) * rmask(j,i,sr)
827	IF ( humidity ) THEN
828	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
829	surf_usm_h%qs(m) * rmask(j,i,sr)
830	ENDIF
831	IF ( passive_scalar ) THEN
832	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
833	surf_usm_h%ss(m) * rmask(j,i,sr)
834	ENDIF
835	!
836	!-- Summation of surface temperature.
837	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
838	surf_usm_h%pt_surface(m) * &
839	rmask(j,i,sr)
840	ENDIF
841	ENDDO
842	ENDDO
843
844	!
845	!-- Computation of statistics when ws-scheme is not used. Else these
846	!-- quantities are evaluated in the advection routines.
847	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) &
848	THEN
849	!$OMP DO
850	DO i = nxl, nxr
851	DO j = nys, nyn
852	DO k = nzb, nzt+1
853	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
854
855	u2 = u(k,j,i)**2
856	v2 = v(k,j,i)**2
857	w2 = w(k,j,i)**2
858	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
859	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
860
861	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) &
862	* flag
863	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) &
864	* flag
865	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) &
866	* flag
867	!
868	!-- Perturbation energy
869
870	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5_wp * &
871	( ust2 + vst2 + w2 ) * rmask(j,i,sr) &
872	* flag
873	ENDDO
874	ENDDO
875	ENDDO
876	ENDIF
877	!
878	!-- Computaion of domain-averaged perturbation energy. Please note,
879	!-- to prevent that perturbation energy is larger (even if only slightly)
880	!-- than the total kinetic energy, calculation is based on deviations from
881	!-- the horizontal mean, instead of spatial descretization of the advection
882	!-- term.
883	!$OMP DO
884	DO i = nxl, nxr
885	DO j = nys, nyn
886	DO k = nzb, nzt+1
887	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
888
889	w2 = w(k,j,i)**2
890	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
891	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
892	w2 = w(k,j,i)**2
893
894	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
895	+ 0.5_wp * ( ust2 + vst2 + w2 ) &
896	* rmask(j,i,sr) &
897	* flag
898	ENDDO
899	ENDDO
900	ENDDO
901
902	!
903	!-- Horizontally averaged profiles of the vertical fluxes
904
905	!$OMP DO
906	DO i = nxl, nxr
907	DO j = nys, nyn
908	!
909	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
910	!-- oterwise from k=nzb+1)
911	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
912	!-- ---- strictly speaking the following k-loop would have to be
913	!-- split up according to the staggered grid.
914	!-- However, this implies no error since staggered velocity
915	!-- components are zero at the walls and inside buildings.
916	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes,
917	!-- which are added further below.
918	DO k = nzb, nzt
919	flag = MERGE( 1.0_wp, 0.0_wp, &
920	BTEST( wall_flags_0(k,j,i), 23 ) ) * &
921	MERGE( 1.0_wp, 0.0_wp, &
922	BTEST( wall_flags_0(k,j,i), 9 ) )
923	!
924	!-- Momentum flux w"u"
925	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
926	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
927	) * ( &
928	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
929	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
930	) * rmask(j,i,sr) &
931	* rho_air_zw(k) &
932	* momentumflux_output_conversion(k) &
933	* flag
934	!
935	!-- Momentum flux w"v"
936	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
937	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
938	) * ( &
939	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
940	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
941	) * rmask(j,i,sr) &
942	* rho_air_zw(k) &
943	* momentumflux_output_conversion(k) &
944	* flag
945	!
946	!-- Heat flux w"pt"
947	sums_l(k,16,tn) = sums_l(k,16,tn) &
948	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
949	* ( pt(k+1,j,i) - pt(k,j,i) ) &
950	* rho_air_zw(k) &
951	* heatflux_output_conversion(k) &
952	* ddzu(k+1) * rmask(j,i,sr) &
953	* flag
954
955
956	!
957	!-- Salinity flux w"sa"
958	IF ( ocean_mode ) THEN
959	sums_l(k,65,tn) = sums_l(k,65,tn) &
960	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
961	* ( sa(k+1,j,i) - sa(k,j,i) ) &
962	* ddzu(k+1) * rmask(j,i,sr) &
963	* flag
964	ENDIF
965
966	!
967	!-- Buoyancy flux, water flux (humidity flux) w"q"
968	IF ( humidity ) THEN
969	sums_l(k,45,tn) = sums_l(k,45,tn) &
970	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
971	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
972	* rho_air_zw(k) &
973	* heatflux_output_conversion(k) &
974	* ddzu(k+1) * rmask(j,i,sr) * flag
975	sums_l(k,48,tn) = sums_l(k,48,tn) &
976	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
977	* ( q(k+1,j,i) - q(k,j,i) ) &
978	* rho_air_zw(k) &
979	* waterflux_output_conversion(k)&
980	* ddzu(k+1) * rmask(j,i,sr) * flag
981
982	IF ( bulk_cloud_model ) THEN
983	sums_l(k,51,tn) = sums_l(k,51,tn) &
984	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
985	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
986	- ( q(k,j,i) - ql(k,j,i) ) ) &
987	* rho_air_zw(k) &
988	* waterflux_output_conversion(k)&
989	* ddzu(k+1) * rmask(j,i,sr) * flag
990	ENDIF
991	ENDIF
992
993	!
994	!-- Passive scalar flux
995	IF ( passive_scalar ) THEN
996	sums_l(k,117,tn) = sums_l(k,117,tn) &
997	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
998	* ( s(k+1,j,i) - s(k,j,i) ) &
999	* ddzu(k+1) * rmask(j,i,sr) &
1000	* flag
1001	ENDIF
1002
1003	ENDDO
1004
1005	!
1006	!-- Subgridscale fluxes in the Prandtl layer
1007	IF ( use_surface_fluxes ) THEN
1008	DO l = 0, 1
1009	ki = MERGE( -1, 0, l == 0 )
1010	IF ( surf_def_h(l)%ns >= 1 ) THEN
1011	DO m = surf_def_h(l)%start_index(j,i), &
1012	surf_def_h(l)%end_index(j,i)
1013	k = surf_def_h(l)%k(m)
1014
1015	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
1016	momentumflux_output_conversion(k+ki) * &
1017	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
1018	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
1019	momentumflux_output_conversion(k+ki) * &
1020	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
1021	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
1022	heatflux_output_conversion(k+ki) * &
1023	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1024	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
1025	0.0_wp * rmask(j,i,sr) ! u"pt"
1026	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
1027	0.0_wp * rmask(j,i,sr) ! v"pt"
1028	IF ( ocean_mode ) THEN
1029	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
1030	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1031	ENDIF
1032	IF ( humidity ) THEN
1033	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
1034	waterflux_output_conversion(k+ki) * &
1035	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1036	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
1037	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
1038	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
1039	surf_def_h(l)%qsws(m) ) &
1040	* heatflux_output_conversion(k+ki)
1041	IF ( cloud_droplets ) THEN
1042	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
1043	( 1.0_wp + 0.61_wp * q(k+ki,j,i) - &
1044	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
1045	0.61_wp * pt(k+ki,j,i) * surf_def_h(l)%qsws(m) ) &
1046	* heatflux_output_conversion(k+ki)
1047	ENDIF
1048	IF ( bulk_cloud_model ) THEN
1049	!
1050	!-- Formula does not work if ql(k+ki) /= 0.0
1051	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
1052	waterflux_output_conversion(k+ki) * &
1053	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1054	ENDIF
1055	ENDIF
1056	IF ( passive_scalar ) THEN
1057	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
1058	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1059	ENDIF
1060
1061	ENDDO
1062
1063	ENDIF
1064	ENDDO
1065	IF ( surf_lsm_h%end_index(j,i) >= &
1066	surf_lsm_h%start_index(j,i) ) THEN
1067	m = surf_lsm_h%start_index(j,i)
1068	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1069	momentumflux_output_conversion(nzb) * &
1070	surf_lsm_h%usws(m) * rmask(j,i,sr) ! w"u"
1071	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1072	momentumflux_output_conversion(nzb) * &
1073	surf_lsm_h%vsws(m) * rmask(j,i,sr) ! w"v"
1074	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1075	heatflux_output_conversion(nzb) * &
1076	surf_lsm_h%shf(m) * rmask(j,i,sr) ! w"pt"
1077	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1078	0.0_wp * rmask(j,i,sr) ! u"pt"
1079	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1080	0.0_wp * rmask(j,i,sr) ! v"pt"
1081	IF ( ocean_mode ) THEN
1082	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1083	surf_lsm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
1084	ENDIF
1085	IF ( humidity ) THEN
1086	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1087	waterflux_output_conversion(nzb) * &
1088	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1089	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1090	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1091	surf_lsm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1092	surf_lsm_h%qsws(m) ) &
1093	* heatflux_output_conversion(nzb)
1094	IF ( cloud_droplets ) THEN
1095	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1096	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1097	ql(nzb,j,i) ) * surf_lsm_h%shf(m) + &
1098	0.61_wp * pt(nzb,j,i) * surf_lsm_h%qsws(m) ) &
1099	* heatflux_output_conversion(nzb)
1100	ENDIF
1101	IF ( bulk_cloud_model ) THEN
1102	!
1103	!-- Formula does not work if ql(nzb) /= 0.0
1104	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1105	waterflux_output_conversion(nzb) * &
1106	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1107	ENDIF
1108	ENDIF
1109	IF ( passive_scalar ) THEN
1110	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1111	surf_lsm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1112	ENDIF
1113
1114
1115	ENDIF
1116	IF ( surf_usm_h%end_index(j,i) >= &
1117	surf_usm_h%start_index(j,i) ) THEN
1118	m = surf_usm_h%start_index(j,i)
1119	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1120	momentumflux_output_conversion(nzb) * &
1121	surf_usm_h%usws(m) * rmask(j,i,sr) ! w"u"
1122	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1123	momentumflux_output_conversion(nzb) * &
1124	surf_usm_h%vsws(m) * rmask(j,i,sr) ! w"v"
1125	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1126	heatflux_output_conversion(nzb) * &
1127	surf_usm_h%shf(m) * rmask(j,i,sr) ! w"pt"
1128	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1129	0.0_wp * rmask(j,i,sr) ! u"pt"
1130	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1131	0.0_wp * rmask(j,i,sr) ! v"pt"
1132	IF ( ocean_mode ) THEN
1133	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1134	surf_usm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
1135	ENDIF
1136	IF ( humidity ) THEN
1137	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1138	waterflux_output_conversion(nzb) * &
1139	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1140	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1141	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1142	surf_usm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1143	surf_usm_h%qsws(m) ) &
1144	* heatflux_output_conversion(nzb)
1145	IF ( cloud_droplets ) THEN
1146	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1147	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1148	ql(nzb,j,i) ) * surf_usm_h%shf(m) + &
1149	0.61_wp * pt(nzb,j,i) * surf_usm_h%qsws(m) ) &
1150	* heatflux_output_conversion(nzb)
1151	ENDIF
1152	IF ( bulk_cloud_model ) THEN
1153	!
1154	!-- Formula does not work if ql(nzb) /= 0.0
1155	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1156	waterflux_output_conversion(nzb) * &
1157	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1158	ENDIF
1159	ENDIF
1160	IF ( passive_scalar ) THEN
1161	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1162	surf_usm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1163	ENDIF
1164
1165
1166	ENDIF
1167
1168	ENDIF
1169
1170	IF ( .NOT. neutral ) THEN
1171	IF ( surf_def_h(0)%end_index(j,i) >= &
1172	surf_def_h(0)%start_index(j,i) ) THEN
1173	m = surf_def_h(0)%start_index(j,i)
1174	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1175	surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1176	ENDIF
1177	IF ( surf_lsm_h%end_index(j,i) >= &
1178	surf_lsm_h%start_index(j,i) ) THEN
1179	m = surf_lsm_h%start_index(j,i)
1180	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1181	surf_lsm_h%ol(m) * rmask(j,i,sr) ! L
1182	ENDIF
1183	IF ( surf_usm_h%end_index(j,i) >= &
1184	surf_usm_h%start_index(j,i) ) THEN
1185	m = surf_usm_h%start_index(j,i)
1186	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1187	surf_usm_h%ol(m) * rmask(j,i,sr) ! L
1188	ENDIF
1189	ENDIF
1190
1191	IF ( radiation ) THEN
1192	IF ( surf_def_h(0)%end_index(j,i) >= &
1193	surf_def_h(0)%start_index(j,i) ) THEN
1194	m = surf_def_h(0)%start_index(j,i)
1195	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1196	surf_def_h(0)%rad_net(m) * rmask(j,i,sr)
1197	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1198	surf_def_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1199	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1200	surf_def_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1201	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1202	surf_def_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1203	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1204	surf_def_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1205	ENDIF
1206	IF ( surf_lsm_h%end_index(j,i) >= &
1207	surf_lsm_h%start_index(j,i) ) THEN
1208	m = surf_lsm_h%start_index(j,i)
1209	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1210	surf_lsm_h%rad_net(m) * rmask(j,i,sr)
1211	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1212	surf_lsm_h%rad_lw_in(m) * rmask(j,i,sr)
1213	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1214	surf_lsm_h%rad_lw_out(m) * rmask(j,i,sr)
1215	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1216	surf_lsm_h%rad_sw_in(m) * rmask(j,i,sr)
1217	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1218	surf_lsm_h%rad_sw_out(m) * rmask(j,i,sr)
1219	ENDIF
1220	IF ( surf_usm_h%end_index(j,i) >= &
1221	surf_usm_h%start_index(j,i) ) THEN
1222	m = surf_usm_h%start_index(j,i)
1223	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1224	surf_usm_h%rad_net(m) * rmask(j,i,sr)
1225	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1226	surf_usm_h%rad_lw_in(m) * rmask(j,i,sr)
1227	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1228	surf_usm_h%rad_lw_out(m) * rmask(j,i,sr)
1229	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1230	surf_usm_h%rad_sw_in(m) * rmask(j,i,sr)
1231	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1232	surf_usm_h%rad_sw_out(m) * rmask(j,i,sr)
1233	ENDIF
1234
1235	#if defined ( __rrtmg )
1236	IF ( radiation_scheme == 'rrtmg' ) THEN
1237
1238	IF ( surf_def_h(0)%end_index(j,i) >= &
1239	surf_def_h(0)%start_index(j,i) ) THEN
1240	m = surf_def_h(0)%start_index(j,i)
1241	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1242	surf_def_h(0)%rrtm_aldif(0,m) * rmask(j,i,sr)
1243	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1244	surf_def_h(0)%rrtm_aldir(0,m) * rmask(j,i,sr)
1245	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1246	surf_def_h(0)%rrtm_asdif(0,m) * rmask(j,i,sr)
1247	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1248	surf_def_h(0)%rrtm_asdir(0,m) * rmask(j,i,sr)
1249	ENDIF
1250	IF ( surf_lsm_h%end_index(j,i) >= &
1251	surf_lsm_h%start_index(j,i) ) THEN
1252	m = surf_lsm_h%start_index(j,i)
1253	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1254	SUM( surf_lsm_h%frac(:,m) * &
1255	surf_lsm_h%rrtm_aldif(:,m) ) * rmask(j,i,sr)
1256	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1257	SUM( surf_lsm_h%frac(:,m) * &
1258	surf_lsm_h%rrtm_aldir(:,m) ) * rmask(j,i,sr)
1259	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1260	SUM( surf_lsm_h%frac(:,m) * &
1261	surf_lsm_h%rrtm_asdif(:,m) ) * rmask(j,i,sr)
1262	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1263	SUM( surf_lsm_h%frac(:,m) * &
1264	surf_lsm_h%rrtm_asdir(:,m) ) * rmask(j,i,sr)
1265	ENDIF
1266	IF ( surf_usm_h%end_index(j,i) >= &
1267	surf_usm_h%start_index(j,i) ) THEN
1268	m = surf_usm_h%start_index(j,i)
1269	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1270	SUM( surf_usm_h%frac(:,m) * &
1271	surf_usm_h%rrtm_aldif(:,m) ) * rmask(j,i,sr)
1272	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1273	SUM( surf_usm_h%frac(:,m) * &
1274	surf_usm_h%rrtm_aldir(:,m) ) * rmask(j,i,sr)
1275	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1276	SUM( surf_usm_h%frac(:,m) * &
1277	surf_usm_h%rrtm_asdif(:,m) ) * rmask(j,i,sr)
1278	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1279	SUM( surf_usm_h%frac(:,m) * &
1280	surf_usm_h%rrtm_asdir(:,m) ) * rmask(j,i,sr)
1281	ENDIF
1282
1283	ENDIF
1284	#endif
1285	ENDIF
1286	!
1287	!-- Subgridscale fluxes at the top surface
1288	IF ( use_top_fluxes ) THEN
1289	m = surf_def_h(2)%start_index(j,i)
1290	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
1291	momentumflux_output_conversion(nzt:nzt+1) * &
1292	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1293	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
1294	momentumflux_output_conversion(nzt:nzt+1) * &
1295	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1296	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
1297	heatflux_output_conversion(nzt:nzt+1) * &
1298	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1299	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1300	0.0_wp * rmask(j,i,sr) ! u"pt"
1301	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1302	0.0_wp * rmask(j,i,sr) ! v"pt"
1303
1304	IF ( ocean_mode ) THEN
1305	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1306	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1307	ENDIF
1308	IF ( humidity ) THEN
1309	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1310	waterflux_output_conversion(nzt) * &
1311	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1312	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1313	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
1314	surf_def_h(2)%shf(m) + &
1315	0.61_wp * pt(nzt,j,i) * &
1316	surf_def_h(2)%qsws(m) ) &
1317	* heatflux_output_conversion(nzt)
1318	IF ( cloud_droplets ) THEN
1319	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1320	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1321	ql(nzt,j,i) ) * &
1322	surf_def_h(2)%shf(m) + &
1323	0.61_wp * pt(nzt,j,i) * &
1324	surf_def_h(2)%qsws(m) )&
1325	* heatflux_output_conversion(nzt)
1326	ENDIF
1327	IF ( bulk_cloud_model ) THEN
1328	!
1329	!-- Formula does not work if ql(nzb) /= 0.0
1330	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1331	waterflux_output_conversion(nzt) * &
1332	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1333	ENDIF
1334	ENDIF
1335	IF ( passive_scalar ) THEN
1336	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1337	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1338	ENDIF
1339	ENDIF
1340
1341	!
1342	!-- Resolved fluxes (can be computed for all horizontal points)
1343	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
1344	!-- ---- speaking the following k-loop would have to be split up and
1345	!-- rearranged according to the staggered grid.
1346	DO k = nzb, nzt
1347	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
1348	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1349	u(k+1,j,i) - hom(k+1,1,1,sr) )
1350	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1351	v(k+1,j,i) - hom(k+1,1,2,sr) )
1352	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1353	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1354
1355	!-- Higher moments
1356	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
1357	rmask(j,i,sr) * flag
1358	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
1359	rmask(j,i,sr) * flag
1360
1361	!
1362	!-- Salinity flux and density (density does not belong to here,
1363	!-- but so far there is no other suitable place to calculate)
1364	IF ( ocean_mode ) THEN
1365	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1366	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1367	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1368	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1369	rmask(j,i,sr) * flag
1370	ENDIF
1371	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * &
1372	rmask(j,i,sr) * flag
1373	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
1374	rmask(j,i,sr) * flag
1375	ENDIF
1376
1377	!
1378	!-- Buoyancy flux, water flux, humidity flux, liquid water
1379	!-- content, rain drop concentration and rain water content
1380	IF ( humidity ) THEN
1381	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
1382	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1383	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1384	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1385	heatflux_output_conversion(k) * &
1386	rmask(j,i,sr) * flag
1387	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) &
1388	* flag
1389
1390	IF ( .NOT. cloud_droplets ) THEN
1391	pts = 0.5_wp * &
1392	( ( q(k,j,i) - ql(k,j,i) ) - &
1393	hom(k,1,42,sr) + &
1394	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1395	hom(k+1,1,42,sr) )
1396	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1397	waterflux_output_conversion(k) * &
1398	rmask(j,i,sr) * &
1399	flag
1400	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
1401	rmask(j,i,sr) * &
1402	flag
1403	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * &
1404	rmask(j,i,sr) * &
1405	flag
1406	IF ( microphysics_morrison ) THEN
1407	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * &
1408	rmask(j,i,sr) *&
1409	flag
1410	ENDIF
1411	IF ( microphysics_seifert ) THEN
1412	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
1413	rmask(j,i,sr) *&
1414	flag
1415	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
1416	rmask(j,i,sr) *&
1417	flag
1418	ENDIF
1419	ENDIF
1420
1421	ELSE
1422	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1423	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1424	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1425	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1426	heatflux_output_conversion(k) * &
1427	rmask(j,i,sr) * &
1428	flag
1429	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1430	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1431	hom(k,1,41,sr) ) * &
1432	sums_l(k,17,tn) + &
1433	0.61_wp * hom(k,1,4,sr) * &
1434	sums_l(k,49,tn) &
1435	) * heatflux_output_conversion(k) * &
1436	flag
1437	END IF
1438	END IF
1439	ENDIF
1440	!
1441	!-- Passive scalar flux
1442	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
1443	.OR. sr /= 0 ) ) THEN
1444	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1445	s(k+1,j,i) - hom(k+1,1,115,sr) )
1446	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1447	rmask(j,i,sr) * flag
1448	ENDIF
1449
1450	!
1451	!-- Energy flux we
1452	!-- has to be adjusted
1453	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1454	( ust2 + vst2 + w(k,j,i)**2 ) &
1455	* rho_air_zw(k) &
1456	* momentumflux_output_conversion(k) &
1457	* rmask(j,i,sr) * flag
1458	ENDDO
1459	ENDDO
1460	ENDDO
1461	!$OMP END PARALLEL
1462	!
1463	!-- Treat land-surface quantities according to new wall model structure.
1464	IF ( land_surface ) THEN
1465	tn = 0
1466	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1467	!$ tn = omp_get_thread_num()
1468	!$OMP DO
1469	DO m = 1, surf_lsm_h%ns
1470	i = surf_lsm_h%i(m)
1471	j = surf_lsm_h%j(m)
1472
1473	IF ( i >= nxl .AND. i <= nxr .AND. &
1474	j >= nys .AND. j <= nyn ) THEN
1475	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h%ghf(m)
1476	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h%qsws_liq(m)
1477	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h%qsws_soil(m)
1478	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h%qsws_veg(m)
1479	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h%r_a(m)
1480	sums_l(nzb,98,tn) = sums_l(nzb,98,tn)+ surf_lsm_h%r_s(m)
1481	ENDIF
1482	ENDDO
1483	!$OMP END PARALLEL
1484
1485	tn = 0
1486	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1487	!$ tn = omp_get_thread_num()
1488	!$OMP DO
1489	DO m = 1, surf_lsm_h%ns
1490
1491	i = surf_lsm_h%i(m)
1492	j = surf_lsm_h%j(m)
1493
1494	IF ( i >= nxl .AND. i <= nxr .AND. &
1495	j >= nys .AND. j <= nyn ) THEN
1496
1497	DO k = nzb_soil, nzt_soil
1498	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h%var_2d(k,m) &
1499	* rmask(j,i,sr)
1500	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h%var_2d(k,m) &
1501	* rmask(j,i,sr)
1502	ENDDO
1503	ENDIF
1504	ENDDO
1505	!$OMP END PARALLEL
1506	ENDIF
1507	!
1508	!-- For speed optimization fluxes which have been computed in part directly
1509	!-- inside the WS advection routines are treated seperatly
1510	!-- Momentum fluxes first:
1511
1512	tn = 0
1513	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
1514	!$ tn = omp_get_thread_num()
1515	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1516	!$OMP DO
1517	DO i = nxl, nxr
1518	DO j = nys, nyn
1519	DO k = nzb, nzt
1520	!
1521	!-- Flag 23 is used to mask surface fluxes as well as model-top
1522	!-- fluxes, which are added further below.
1523	flag = MERGE( 1.0_wp, 0.0_wp, &
1524	BTEST( wall_flags_0(k,j,i), 23 ) ) * &
1525	MERGE( 1.0_wp, 0.0_wp, &
1526	BTEST( wall_flags_0(k,j,i), 9 ) )
1527
1528	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1529	u(k+1,j,i) - hom(k+1,1,1,sr) )
1530	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1531	v(k+1,j,i) - hom(k+1,1,2,sr) )
1532	!
1533	!-- Momentum flux wu
1534	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
1535	( w(k,j,i-1) + w(k,j,i) ) &
1536	* rho_air_zw(k) &
1537	* momentumflux_output_conversion(k) &
1538	* ust * rmask(j,i,sr) &
1539	* flag
1540	!
1541	!-- Momentum flux wv
1542	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * &
1543	( w(k,j-1,i) + w(k,j,i) ) &
1544	* rho_air_zw(k) &
1545	* momentumflux_output_conversion(k) &
1546	* vst * rmask(j,i,sr) &
1547	* flag
1548	ENDDO
1549	ENDDO
1550	ENDDO
1551
1552	ENDIF
1553	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1554	!$OMP DO
1555	DO i = nxl, nxr
1556	DO j = nys, nyn
1557	DO k = nzb, nzt
1558	flag = MERGE( 1.0_wp, 0.0_wp, &
1559	BTEST( wall_flags_0(k,j,i), 23 ) ) * &
1560	MERGE( 1.0_wp, 0.0_wp, &
1561	BTEST( wall_flags_0(k,j,i), 9 ) )
1562	!
1563	!-- Vertical heat flux
1564	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1565	( pt(k,j,i) - hom(k,1,4,sr) + &
1566	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1567	* heatflux_output_conversion(k) &
1568	* w(k,j,i) * rmask(j,i,sr) * flag
1569	IF ( humidity ) THEN
1570	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1571	q(k+1,j,i) - hom(k+1,1,41,sr) )
1572	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1573	waterflux_output_conversion(k) * &
1574	rmask(j,i,sr) * flag
1575	ENDIF
1576	IF ( passive_scalar ) THEN
1577	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1578	s(k+1,j,i) - hom(k+1,1,115,sr) )
1579	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1580	rmask(j,i,sr) * flag
1581	ENDIF
1582	ENDDO
1583	ENDDO
1584	ENDDO
1585
1586	ENDIF
1587
1588	!
1589	!-- Density at top follows Neumann condition
1590	IF ( ocean_mode ) THEN
1591	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1592	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1593	ENDIF
1594
1595	!
1596	!-- Divergence of vertical flux of resolved scale energy and pressure
1597	!-- fluctuations as well as flux of pressure fluctuation itself (68).
1598	!-- First calculate the products, then the divergence.
1599	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1600	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) &
1601	THEN
1602	sums_ll = 0.0_wp ! local array
1603
1604	!$OMP DO
1605	DO i = nxl, nxr
1606	DO j = nys, nyn
1607	DO k = nzb+1, nzt
1608	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1609
1610	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1611	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1612	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2&
1613	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1614	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2&
1615	+ w(k,j,i)*2 ) flag
1616
1617	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1618	* ( ( p(k,j,i) + p(k+1,j,i) ) &
1619	/ momentumflux_output_conversion(k) ) &
1620	* flag
1621
1622	ENDDO
1623	ENDDO
1624	ENDDO
1625	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1626	sums_ll(nzt+1,1) = 0.0_wp
1627	sums_ll(0,2) = 0.0_wp
1628	sums_ll(nzt+1,2) = 0.0_wp
1629
1630	DO k = nzb+1, nzt
1631	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1632	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1633	sums_l(k,68,tn) = sums_ll(k,2)
1634	ENDDO
1635	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1636	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1637	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1638
1639	ENDIF
1640
1641	!
1642	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1643	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) &
1644	THEN
1645	!$OMP DO
1646	DO i = nxl, nxr
1647	DO j = nys, nyn
1648	DO k = nzb+1, nzt
1649
1650	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1651
1652	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1653	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1654	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1655	) * ddzw(k) &
1656	* flag
1657
1658	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1659	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1660	) * flag
1661
1662	ENDDO
1663	ENDDO
1664	ENDDO
1665	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1666	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1667
1668	ENDIF
1669
1670	!
1671	!-- Horizontal heat fluxes (subgrid, resolved, total).
1672	!-- Do it only, if profiles shall be plotted.
1673	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1674
1675	!$OMP DO
1676	DO i = nxl, nxr
1677	DO j = nys, nyn
1678	DO k = nzb+1, nzt
1679	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1680	!
1681	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1682	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1683	( kh(k,j,i) + kh(k,j,i-1) ) &
1684	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1685	* rho_air_zw(k) &
1686	* heatflux_output_conversion(k) &
1687	* ddx * rmask(j,i,sr) * flag
1688	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1689	( kh(k,j,i) + kh(k,j-1,i) ) &
1690	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1691	* rho_air_zw(k) &
1692	* heatflux_output_conversion(k) &
1693	* ddy * rmask(j,i,sr) * flag
1694	!
1695	!-- Resolved horizontal heat fluxes upt, vpt
1696	sums_l(k,59,tn) = sums_l(k,59,tn) + &
1697	( u(k,j,i) - hom(k,1,1,sr) ) &
1698	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1699	pt(k,j,i) - hom(k,1,4,sr) ) &
1700	* heatflux_output_conversion(k) &
1701	* flag
1702	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1703	pt(k,j,i) - hom(k,1,4,sr) )
1704	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1705	( v(k,j,i) - hom(k,1,2,sr) ) &
1706	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1707	pt(k,j,i) - hom(k,1,4,sr) ) &
1708	* heatflux_output_conversion(k) &
1709	* flag
1710	ENDDO
1711	ENDDO
1712	ENDDO
1713	!
1714	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1715	sums_l(nzb,58,tn) = 0.0_wp
1716	sums_l(nzb,59,tn) = 0.0_wp
1717	sums_l(nzb,60,tn) = 0.0_wp
1718	sums_l(nzb,61,tn) = 0.0_wp
1719	sums_l(nzb,62,tn) = 0.0_wp
1720	sums_l(nzb,63,tn) = 0.0_wp
1721
1722	ENDIF
1723	!$OMP END PARALLEL
1724
1725	!
1726	!-- Collect current large scale advection and subsidence tendencies for
1727	!-- data output
1728	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1729	!
1730	!-- Interpolation in time of LSF_DATA
1731	nt = 1
1732	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1733	nt = nt + 1
1734	ENDDO
1735	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1736	nt = nt - 1
1737	ENDIF
1738
1739	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
1740	/ ( time_vert(nt+1)-time_vert(nt) )
1741
1742
1743	DO k = nzb, nzt
1744	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
1745	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1746	sums_ls_l(k,1) = td_lsa_q(k,nt) &
1747	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1748	ENDDO
1749
1750	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1751	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1752
1753	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1754
1755	DO k = nzb, nzt
1756	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
1757	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1758	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
1759	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1760	ENDDO
1761
1762	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1763	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1764
1765	ENDIF
1766
1767	ENDIF
1768
1769	tn = 0
1770	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1771	!$ tn = omp_get_thread_num()
1772	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1773	!$OMP DO
1774	DO i = nxl, nxr
1775	DO j = nys, nyn
1776	DO k = nzb+1, nzt+1
1777	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1778
1779	sums_l(k,100,tn) = sums_l(k,100,tn) + rad_lw_in(k,j,i) &
1780	* rmask(j,i,sr) * flag
1781	sums_l(k,101,tn) = sums_l(k,101,tn) + rad_lw_out(k,j,i) &
1782	* rmask(j,i,sr) * flag
1783	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_sw_in(k,j,i) &
1784	* rmask(j,i,sr) * flag
1785	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_sw_out(k,j,i) &
1786	* rmask(j,i,sr) * flag
1787	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_lw_cs_hr(k,j,i) &
1788	* rmask(j,i,sr) * flag
1789	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_lw_hr(k,j,i) &
1790	* rmask(j,i,sr) * flag
1791	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_sw_cs_hr(k,j,i) &
1792	* rmask(j,i,sr) * flag
1793	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_sw_hr(k,j,i) &
1794	* rmask(j,i,sr) * flag
1795	ENDDO
1796	ENDDO
1797	ENDDO
1798	ENDIF
1799
1800	!
1801	!-- Calculate the profiles for all other modules
1802	CALL module_interface_statistics( 'profiles', sr, tn, dots_max )
1803	!$OMP END PARALLEL
1804
1805	!
1806	!-- Summation of thread sums
1807	IF ( threads_per_task > 1 ) THEN
1808	DO i = 1, threads_per_task-1
1809	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1810	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1811	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1812	sums_l(:,45:pr_palm,i)
1813	IF ( max_pr_user > 0 ) THEN
1814	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1815	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1816	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1817	ENDIF
1818
1819	IF ( air_chemistry ) THEN
1820	IF ( max_pr_cs > 0 ) THEN
1821	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+ max_pr_cs,0) = &
1822	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,0) + &
1823	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,i)
1824
1825	ENDIF
1826	ENDIF
1827	ENDDO
1828	ENDIF
1829
1830	#if defined( __parallel )
1831
1832	!
1833	!-- Compute total sum from local sums
1834	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1835	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1836	MPI_SUM, comm2d, ierr )
1837	IF ( large_scale_forcing ) THEN
1838	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
1839	MPI_REAL, MPI_SUM, comm2d, ierr )
1840	ENDIF
1841
1842	IF ( air_chemistry .AND. max_pr_cs > 0 ) THEN
1843	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1844	DO i = 1, max_pr_cs
1845	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+i,0), &
1846	sums(nzb,pr_palm+max_pr_user+i), &
1847	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1848	ENDDO
1849	ENDIF
1850
1851	#else
1852	sums = sums_l(:,:,0)
1853	IF ( large_scale_forcing ) THEN
1854	sums(:,81:88) = sums_ls_l
1855	ENDIF
1856	#endif
1857
1858	!
1859	!-- Final values are obtained by division by the total number of grid points
1860	!-- used for summation. After that store profiles.
1861	!-- Check, if statistical regions do contain at least one grid point at the
1862	!-- respective k-level, otherwise division by zero will lead to undefined
1863	!-- values, which may cause e.g. problems with NetCDF output
1864	!-- Profiles:
1865	DO k = nzb, nzt+1
1866	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1867	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1868	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1869	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1870	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1871	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1872	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1873	sums(k,89:112) = sums(k,89:112) / ngp_2dh(sr)
1874	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1875	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1876	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1877	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1878	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1879	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1880	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1881	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1882	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1883	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1884	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1885	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1886	sums(k,123) = sums(k,123) * ngp_2dh_s_inner(k,sr) / ngp_2dh(sr)
1887	ENDIF
1888	ENDDO
1889
1890	!-- u* and so on
1891	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1892	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1893	!-- above the topography, they are being divided by ngp_2dh(sr)
1894	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1895	ngp_2dh(sr)
1896	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1897	ngp_2dh(sr)
1898	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / & ! ss
1899	ngp_2dh(sr)
1900	sums(nzb+14,pr_palm) = sums(nzb+14,pr_palm) / & ! surface temperature
1901	ngp_2dh(sr)
1902	!-- eges, e*
1903	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1904	ngp_3d(sr)
1905	!-- Old and new divergence
1906	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1907	ngp_3d_inner(sr)
1908
1909	!-- User-defined profiles
1910	IF ( max_pr_user > 0 ) THEN
1911	DO k = nzb, nzt+1
1912	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1913	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1914	ngp_2dh_s_inner(k,sr)
1915	ENDDO
1916	ENDIF
1917
1918	IF ( air_chemistry ) THEN
1919	IF ( max_pr_cs > 0 ) THEN
1920	DO k = nzb, nzt+1
1921	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) = &
1922	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) / &
1923	ngp_2dh_s_inner(k,sr)
1924	ENDDO
1925	ENDIF
1926	ENDIF
1927
1928	!
1929	!-- Collect horizontal average in hom.
1930	!-- Compute deduced averages (e.g. total heat flux)
1931	hom(:,1,3,sr) = sums(:,3) ! w
1932	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1933	hom(:,1,9,sr) = sums(:,9) ! km
1934	hom(:,1,10,sr) = sums(:,10) ! kh
1935	hom(:,1,11,sr) = sums(:,11) ! l
1936	hom(:,1,12,sr) = sums(:,12) ! w"u"
1937	hom(:,1,13,sr) = sums(:,13) ! wu
1938	hom(:,1,14,sr) = sums(:,14) ! w"v"
1939	hom(:,1,15,sr) = sums(:,15) ! wv
1940	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1941	hom(:,1,17,sr) = sums(:,17) ! wpt
1942	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1943	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1944	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1945	hom(:,1,21,sr) = sums(:,21) ! wptBC
1946	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1947	! profile 24 is initial profile (sa)
1948	! profiles 25-29 left empty for initial
1949	! profiles
1950	hom(:,1,30,sr) = sums(:,30) ! u*2
1951	hom(:,1,31,sr) = sums(:,31) ! v*2
1952	hom(:,1,32,sr) = sums(:,32) ! w*2
1953	hom(:,1,33,sr) = sums(:,33) ! pt*2
1954	hom(:,1,34,sr) = sums(:,34) ! e*
1955	hom(:,1,35,sr) = sums(:,35) ! w2pt
1956	hom(:,1,36,sr) = sums(:,36) ! wpt2
1957	hom(:,1,37,sr) = sums(:,37) ! we
1958	hom(:,1,38,sr) = sums(:,38) ! w*3
1959	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1960	hom(:,1,40,sr) = sums(:,40) ! p
1961	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1962	hom(:,1,46,sr) = sums(:,46) ! wvpt
1963	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1964	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1965	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1966	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1967	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1968	hom(:,1,52,sr) = sums(:,52) ! wqv
1969	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1970	hom(:,1,54,sr) = sums(:,54) ! ql
1971	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1972	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1973	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
1974	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1975	hom(:,1,59,sr) = sums(:,59) ! upt
1976	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1977	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1978	hom(:,1,62,sr) = sums(:,62) ! vpt
1979	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1980	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
1981	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1982	hom(:,1,66,sr) = sums(:,66) ! wsa
1983	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1984	hom(:,1,68,sr) = sums(:,68) ! wp
1985	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
1986	hom(:,1,70,sr) = sums(:,70) ! q*2
1987	hom(:,1,71,sr) = sums(:,71) ! prho
1988	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
1989	hom(:,1,123,sr) = sums(:,123) ! nc
1990	hom(:,1,73,sr) = sums(:,73) ! nr
1991	hom(:,1,74,sr) = sums(:,74) ! qr
1992	hom(:,1,75,sr) = sums(:,75) ! qc
1993	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1994	! 77 is initial density profile
1995	hom(:,1,78,sr) = ug ! ug
1996	hom(:,1,79,sr) = vg ! vg
1997	hom(:,1,80,sr) = w_subs ! w_subs
1998
1999	IF ( large_scale_forcing ) THEN
2000	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
2001	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
2002	IF ( use_subsidence_tendencies ) THEN
2003	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
2004	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
2005	ELSE
2006	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
2007	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
2008	ENDIF
2009	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
2010	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
2011	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
2012	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
2013	ENDIF
2014
2015	IF ( land_surface ) THEN
2016	hom(:,1,89,sr) = sums(:,89) ! t_soil
2017	! 90 is initial t_soil profile
2018	hom(:,1,91,sr) = sums(:,91) ! m_soil
2019	! 92 is initial m_soil profile
2020	hom(:,1,93,sr) = sums(:,93) ! ghf
2021	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
2022	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
2023	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
2024	hom(:,1,97,sr) = sums(:,97) ! r_a
2025	hom(:,1,98,sr) = sums(:,98) ! r_s
2026
2027	ENDIF
2028
2029	IF ( radiation ) THEN
2030	hom(:,1,99,sr) = sums(:,99) ! rad_net
2031	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
2032	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
2033	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
2034	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
2035
2036	IF ( radiation_scheme == 'rrtmg' ) THEN
2037	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
2038	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
2039	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
2040	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
2041
2042	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
2043	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
2044	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
2045	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
2046	ENDIF
2047	ENDIF
2048
2049	hom(:,1,112,sr) = sums(:,112) !: L
2050
2051	IF ( passive_scalar ) THEN
2052	hom(:,1,117,sr) = sums(:,117) ! w"s"
2053	hom(:,1,114,sr) = sums(:,114) ! ws
2054	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
2055	hom(:,1,116,sr) = sums(:,116) ! s*2
2056	ENDIF
2057
2058	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
2059	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
2060
2061	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
2062	! u, w'u', w'v', t (in last profile)
2063
2064	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
2065	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
2066	sums(:,pr_palm+1:pr_palm+max_pr_user)
2067	ENDIF
2068
2069	IF ( air_chemistry ) THEN
2070	IF ( max_pr_cs > 0 ) THEN ! chem_spcs profiles
2071	hom(:, 1, pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs, sr) = &
2072	sums(:, pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs)
2073	ENDIF
2074	ENDIF
2075	!
2076	!-- Determine the boundary layer height using two different schemes.
2077	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
2078	!-- first relative minimum (maximum) of the total heat flux.
2079	!-- The corresponding height is assumed as the boundary layer height, if it
2080	!-- is less than 1.5 times the height where the heat flux becomes negative
2081	!-- (positive) for the first time. Attention: the resolved vertical sensible
2082	!-- heat flux (hom(:,1,17,sr) = wpt) is not known at the beginning because
2083	!-- the calculation happens in advec_s_ws which is called after
2084	!-- flow_statistics. Therefore z_i is directly taken from restart data at
2085	!-- the beginning of restart runs.
2086	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .OR. &
2087	simulated_time_at_begin /= simulated_time ) THEN
2088
2089	z_i(1) = 0.0_wp
2090	first = .TRUE.
2091
2092	IF ( ocean_mode ) THEN
2093	DO k = nzt, nzb+1, -1
2094	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2095	first = .FALSE.
2096	height = zw(k)
2097	ENDIF
2098	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2099	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2100	IF ( zw(k) < 1.5_wp * height ) THEN
2101	z_i(1) = zw(k)
2102	ELSE
2103	z_i(1) = height
2104	ENDIF
2105	EXIT
2106	ENDIF
2107	ENDDO
2108	ELSE
2109	DO k = nzb, nzt-1
2110	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2111	first = .FALSE.
2112	height = zw(k)
2113	ENDIF
2114	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2115	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2116	IF ( zw(k) < 1.5_wp * height ) THEN
2117	z_i(1) = zw(k)
2118	ELSE
2119	z_i(1) = height
2120	ENDIF
2121	EXIT
2122	ENDIF
2123	ENDDO
2124	ENDIF
2125
2126	!
2127	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
2128	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
2129	!-- maximal local temperature gradient: starting from the second (the
2130	!-- last but one) vertical gridpoint, the local gradient must be at least
2131	!-- 0.2K/100m and greater than the next four gradients.
2132	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2133	!-- ocean case!
2134	z_i(2) = 0.0_wp
2135	DO k = nzb+1, nzt+1
2136	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2137	ENDDO
2138	dptdz_threshold = 0.2_wp / 100.0_wp
2139
2140	IF ( ocean_mode ) THEN
2141	DO k = nzt+1, nzb+5, -1
2142	IF ( dptdz(k) > dptdz_threshold .AND. &
2143	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND.&
2144	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2145	z_i(2) = zw(k-1)
2146	EXIT
2147	ENDIF
2148	ENDDO
2149	ELSE
2150	DO k = nzb+1, nzt-3
2151	IF ( dptdz(k) > dptdz_threshold .AND. &
2152	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND.&
2153	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2154	z_i(2) = zw(k-1)
2155	EXIT
2156	ENDIF
2157	ENDDO
2158	ENDIF
2159
2160	ENDIF
2161
2162	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2163	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2164
2165	!
2166	!-- Determine vertical index which is nearest to the mean surface level
2167	!-- height of the respective statistic region
2168	DO k = nzb, nzt
2169	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
2170	k_surface_level = k
2171	EXIT
2172	ENDIF
2173	ENDDO
2174
2175	!
2176	!-- Computation of both the characteristic vertical velocity and
2177	!-- the characteristic convective boundary layer temperature.
2178	!-- The inversion height entering into the equation is defined with respect
2179	!-- to the mean surface level height of the respective statistic region.
2180	!-- The horizontal average at surface level index + 1 is input for the
2181	!-- average temperature.
2182	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp )&
2183	THEN
2184	hom(nzb+8,1,pr_palm,sr) = &
2185	( g / hom(k_surface_level+1,1,4,sr) * &
2186	( hom(k_surface_level,1,18,sr) / &
2187	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
2188	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
2189	ELSE
2190	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
2191	ENDIF
2192
2193	!
2194	!-- Collect the time series quantities. Please note, timeseries quantities
2195	!-- which are collected from horizontally averaged profiles, e.g. wpt
2196	!-- or pt(zp), are treated specially. In case of elevated model surfaces,
2197	!-- index nzb+1 might be within topography and data will be zero. Therefore,
2198	!-- take value for the first atmosphere index, which is topo_min_level+1.
2199	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2200	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2201	ts_value(3,sr) = dt_3d
2202	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2203	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2204	ts_value(6,sr) = u_max
2205	ts_value(7,sr) = v_max
2206	ts_value(8,sr) = w_max
2207	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2208	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2209	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2210	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2211	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2212	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2213	ts_value(15,sr) = hom(topo_min_level+1,1,16,sr) ! w'pt' at k=1
2214	ts_value(16,sr) = hom(topo_min_level+1,1,18,sr) ! wpt at k=1
2215	ts_value(17,sr) = hom(nzb+14,1,pr_palm,sr) ! pt(0)
2216	ts_value(18,sr) = hom(topo_min_level+1,1,4,sr) ! pt(zp)
2217	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2218	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2219	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2220
2221	IF ( .NOT. neutral ) THEN
2222	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
2223	ELSE
2224	ts_value(22,sr) = 1.0E10_wp
2225	ENDIF
2226
2227	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2228
2229	IF ( passive_scalar ) THEN
2230	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
2231	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
2232	ENDIF
2233
2234	!
2235	!-- Collect land surface model timeseries
2236	IF ( land_surface ) THEN
2237	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2238	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2239	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2240	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2241	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2242	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2243	ENDIF
2244	!
2245	!-- Collect radiation model timeseries
2246	IF ( radiation ) THEN
2247	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2248	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2249	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2250	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2251	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2252
2253	IF ( radiation_scheme == 'rrtmg' ) THEN
2254	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2255	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2256	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2257	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2258	ENDIF
2259
2260	ENDIF
2261
2262	!
2263	!-- Calculate additional statistics provided by other modules
2264	CALL module_interface_statistics( 'time_series', sr, 0, dots_max )
2265
2266	ENDDO ! loop of the subregions
2267
2268	!
2269	!-- If required, sum up horizontal averages for subsequent time averaging.
2270	!-- Do not sum, if flow statistics is called before the first initial time step.
2271	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2272	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2273	hom_sum = hom_sum + hom(:,1,:,:)
2274	average_count_pr = average_count_pr + 1
2275	do_sum = .FALSE.
2276	ENDIF
2277
2278	!
2279	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2280	!-- This flag is reset after each time step in time_integration.
2281	flow_statistics_called = .TRUE.
2282
2283	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2284
2285
2286	END SUBROUTINE flow_statistics

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