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source: palm/trunk/SOURCE/flow_statistics.f90 @ 2809

Last change on this file since 2809 was 2773, checked in by suehring, 7 years ago
Nesting for chemical species implemented; Bugfix passive scalar boundary condition after anterpolation; Timeseries output of surface temperature; Enable initialization of 3D topography (was commented out so far)
Property svn:keywords set to `Id`
File size: 102.8 KB

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

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