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source: palm/trunk/SOURCE/flow_statistics.f90 @ 3550

Last change on this file since 3550 was 3458, checked in by kanani, 6 years ago
Reintegrated fixes/changes from branch chemistry
Property svn:keywords set to `Id`
File size: 107.7 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 3458 2018-10-30 14:51:23Z gronemeier $
27	! from chemistry branch r3443, basit:
28	! bug fixed in chemistry profiles
29	!
30	! 3452 2018-10-30 13:13:34Z schwenkel
31	! Bugfix for profiles output
32	!
33	! 3298 2018-10-02 12:21:11Z kanani
34	! - Minor formatting (kanani)
35	! - Added .AND. max_pr_cs > 0 before MPI_ALLREDUCE call (forkel)
36	! - Data arrays, sums, sums_l, hom, hom_sum updated for chem species (basit)
37	! - Directives of parallelism added for chemistry (basit)
38	! - Call for chem_statistics added (basit)
39	!
40	! 3294 2018-10-01 02:37:10Z raasch
41	! ocean renamed ocean_mode
42	!
43	! 3274 2018-09-24 15:42:55Z knoop
44	! Modularization of all bulk cloud physics code components
45	!
46	! 3241 2018-09-12 15:02:00Z raasch
47	! unused variables removed
48	!
49	! 3042 2018-05-25 10:44:37Z schwenkel
50	! Changed the name specific humidity to mixing ratio
51	!
52	! 3040 2018-05-25 10:22:08Z schwenkel
53	! Comments related to the calculation of the inversion height expanded
54	!
55	! 3003 2018-04-23 10:22:58Z Giersch
56	! The inversion height will not be calcuated before the first timestep in
57	! case of restarts.
58	!
59	! 2968 2018-04-13 11:52:24Z suehring
60	! Bugfix in output of timeseries quantities in case of elevated model surfaces.
61	!
62	! 2817 2018-02-19 16:32:21Z knoop
63	! Preliminary gust module interface implemented
64	!
65	! 2773 2018-01-30 14:12:54Z suehring
66	! Timeseries output of surface temperature.
67	!
68	! 2753 2018-01-16 14:16:49Z suehring
69	! Tile approach for spectral albedo implemented.
70	!
71	! 2718 2018-01-02 08:49:38Z maronga
72	! Corrected "Former revisions" section
73	!
74	! 2696 2017-12-14 17:12:51Z kanani
75	! Change in file header (GPL part)
76	! Bugfix in evaluation of surface quantities in case different surface types
77	! are used (MS)
78	!
79	! 2674 2017-12-07 11:49:21Z suehring
80	! Bugfix in output conversion of resolved-scale momentum fluxes in case of
81	! PW advections scheme.
82	!
83	! 2320 2017-07-21 12:47:43Z suehring
84	! Modularize large-scale forcing and nudging
85	!
86	! 2296 2017-06-28 07:53:56Z maronga
87	! Enabled output of radiation quantities for radiation_scheme = 'constant'
88	!
89	! 2292 2017-06-20 09:51:42Z schwenkel
90	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
91	! includes two more prognostic equations for cloud drop concentration (nc)
92	! and cloud water content (qc).
93	!
94	! 2270 2017-06-09 12:18:47Z maronga
95	! Revised numbering (removed 2 timeseries)
96	!
97	! 2252 2017-06-07 09:35:37Z knoop
98	! perturbation pressure now depending on flux_output_mode
99	!
100	! 2233 2017-05-30 18:08:54Z suehring
101	!
102	! 2232 2017-05-30 17:47:52Z suehring
103	! Adjustments to new topography and surface concept
104	!
105	! 2118 2017-01-17 16:38:49Z raasch
106	! OpenACC version of subroutine removed
107	!
108	! 2073 2016-11-30 14:34:05Z raasch
109	! openmp bugfix: large scale forcing calculations cannot be executed thread
110	! parallel
111	!
112	! 2037 2016-10-26 11:15:40Z knoop
113	! Anelastic approximation implemented
114	!
115	! 2031 2016-10-21 15:11:58Z knoop
116	! renamed variable rho to rho_ocean
117	!
118	! 2026 2016-10-18 10:27:02Z suehring
119	! Bugfix, enable output of s*2.
120	! Change, calculation of domain-averaged perturbation energy.
121	! Some formatting adjustments.
122	!
123	! 2000 2016-08-20 18:09:15Z knoop
124	! Forced header and separation lines into 80 columns
125	!
126	! 1976 2016-07-27 13:28:04Z maronga
127	! Removed some unneeded __rrtmg preprocessor directives
128	!
129	! 1960 2016-07-12 16:34:24Z suehring
130	! Separate humidity and passive scalar
131	!
132	! 1918 2016-05-27 14:35:57Z raasch
133	! in case of Wicker-Skamarock scheme, calculate disturbance kinetic energy here,
134	! if flow_statistics is called before the first initial time step
135	!
136	! 1853 2016-04-11 09:00:35Z maronga
137	! Adjusted for use with radiation_scheme = constant
138	!
139	! 1849 2016-04-08 11:33:18Z hoffmann
140	! prr moved to arrays_3d
141	!
142	! 1822 2016-04-07 07:49:42Z hoffmann
143	! Output of bulk microphysics simplified.
144	!
145	! 1815 2016-04-06 13:49:59Z raasch
146	! cpp-directives for intel openmp bug removed
147	!
148	! 1783 2016-03-06 18:36:17Z raasch
149	! +module netcdf_interface
150	!
151	! 1747 2016-02-08 12:25:53Z raasch
152	! small bugfixes for accelerator version
153	!
154	! 1738 2015-12-18 13:56:05Z raasch
155	! bugfixes for calculations in statistical regions which do not contain grid
156	! points in the lowest vertical levels, mean surface level height considered
157	! in the calculation of the characteristic vertical velocity,
158	! old upstream parts removed
159	!
160	! 1709 2015-11-04 14:47:01Z maronga
161	! Updated output of Obukhov length
162	!
163	! 1691 2015-10-26 16:17:44Z maronga
164	! Revised calculation of Obukhov length. Added output of radiative heating >
165	! rates for RRTMG.
166	!
167	! 1682 2015-10-07 23:56:08Z knoop
168	! Code annotations made doxygen readable
169	!
170	! 1658 2015-09-18 10:52:53Z raasch
171	! bugfix: temporary reduction variables in the openacc branch are now
172	! initialized to zero
173	!
174	! 1654 2015-09-17 09:20:17Z raasch
175	! FORTRAN bugfix of r1652
176	!
177	! 1652 2015-09-17 08:12:24Z raasch
178	! bugfix in calculation of energy production by turbulent transport of TKE
179	!
180	! 1593 2015-05-16 13:58:02Z raasch
181	! FORTRAN errors removed from openacc branch
182	!
183	! 1585 2015-04-30 07:05:52Z maronga
184	! Added output of timeseries and profiles for RRTMG
185	!
186	! 1571 2015-03-12 16:12:49Z maronga
187	! Bugfix: output of rad_net and rad_sw_in
188	!
189	! 1567 2015-03-10 17:57:55Z suehring
190	! Reverse modifications made for monotonic limiter.
191	!
192	! 1557 2015-03-05 16:43:04Z suehring
193	! Adjustments for monotonic limiter
194	!
195	! 1555 2015-03-04 17:44:27Z maronga
196	! Added output of r_a and r_s.
197	!
198	! 1551 2015-03-03 14:18:16Z maronga
199	! Added suppport for land surface model and radiation model output.
200	!
201	! 1498 2014-12-03 14:09:51Z suehring
202	! Comments added
203	!
204	! 1482 2014-10-18 12:34:45Z raasch
205	! missing ngp_sums_ls added in accelerator version
206	!
207	! 1450 2014-08-21 07:31:51Z heinze
208	! bugfix: calculate fac only for simulated_time >= 0.0
209	!
210	! 1396 2014-05-06 13:37:41Z raasch
211	! bugfix: "copyin" replaced by "update device" in openacc-branch
212	!
213	! 1386 2014-05-05 13:55:30Z boeske
214	! bugfix: simulated time before the last timestep is needed for the correct
215	! calculation of the profiles of large scale forcing tendencies
216	!
217	! 1382 2014-04-30 12:15:41Z boeske
218	! Renamed variables which store large scale forcing tendencies
219	! pt_lsa -> td_lsa_lpt, pt_subs -> td_sub_lpt,
220	! q_lsa -> td_lsa_q, q_subs -> td_sub_q,
221	! added Neumann boundary conditions for profile data output of large scale
222	! advection and subsidence terms at nzt+1
223	!
224	! 1374 2014-04-25 12:55:07Z raasch
225	! bugfix: syntax errors removed from openacc-branch
226	! missing variables added to ONLY-lists
227	!
228	! 1365 2014-04-22 15:03:56Z boeske
229	! Output of large scale advection, large scale subsidence and nudging tendencies
230	! +sums_ls_l, ngp_sums_ls, use_subsidence_tendencies
231	!
232	! 1353 2014-04-08 15:21:23Z heinze
233	! REAL constants provided with KIND-attribute
234	!
235	! 1322 2014-03-20 16:38:49Z raasch
236	! REAL constants defined as wp-kind
237	!
238	! 1320 2014-03-20 08:40:49Z raasch
239	! ONLY-attribute added to USE-statements,
240	! kind-parameters added to all INTEGER and REAL declaration statements,
241	! kinds are defined in new module kinds,
242	! revision history before 2012 removed,
243	! comment fields (!:) to be used for variable explanations added to
244	! all variable declaration statements
245	!
246	! 1299 2014-03-06 13:15:21Z heinze
247	! Output of large scale vertical velocity w_subs
248	!
249	! 1257 2013-11-08 15:18:40Z raasch
250	! openacc "end parallel" replaced by "end parallel loop"
251	!
252	! 1241 2013-10-30 11:36:58Z heinze
253	! Output of ug and vg
254	!
255	! 1221 2013-09-10 08:59:13Z raasch
256	! ported for openACC in separate #else branch
257	!
258	! 1179 2013-06-14 05:57:58Z raasch
259	! comment for profile 77 added
260	!
261	! 1115 2013-03-26 18:16:16Z hoffmann
262	! ql is calculated by calc_liquid_water_content
263	!
264	! 1111 2013-03-08 23:54:10Z raasch
265	! openACC directive added
266	!
267	! 1053 2012-11-13 17:11:03Z hoffmann
268	! additions for two-moment cloud physics scheme:
269	! +nr, qr, qc, prr
270	!
271	! 1036 2012-10-22 13:43:42Z raasch
272	! code put under GPL (PALM 3.9)
273	!
274	! 1007 2012-09-19 14:30:36Z franke
275	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
276	! turbulent fluxes of WS-scheme
277	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
278	! droplets at nzb and nzt added
279	!
280	! 801 2012-01-10 17:30:36Z suehring
281	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
282	!
283	! Revision 1.1 1997/08/11 06:15:17 raasch
284	! Initial revision
285	!
286	!
287	! Description:
288	! ------------
289	!> Compute average profiles and further average flow quantities for the different
290	!> user-defined (sub-)regions. The region indexed 0 is the total model domain.
291	!>
292	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
293	!> lower vertical index for k-loops for all variables, although strictly
294	!> speaking the k-loops would have to be split up according to the staggered
295	!> grid. However, this implies no error since staggered velocity components
296	!> are zero at the walls and inside buildings.
297	!------------------------------------------------------------------------------!
298	SUBROUTINE flow_statistics
299
300
301	USE arrays_3d, &
302	ONLY: ddzu, ddzw, e, heatflux_output_conversion, hyp, km, kh, &
303	momentumflux_output_conversion, nc, nr, p, prho, prr, pt, q, &
304	qc, ql, qr, rho_air, rho_air_zw, rho_ocean, s, &
305	sa, u, ug, v, vg, vpt, w, w_subs, waterflux_output_conversion, &
306	zw, d_exner
307
308	USE basic_constants_and_equations_mod, &
309	ONLY: g, lv_d_cp
310
311
312	USE chem_modules, &
313	ONLY: max_pr_cs
314
315	USE chemistry_model_mod, &
316	ONLY: chem_species, chem_statistics
317
318	USE control_parameters, &
319	ONLY: air_chemistry, average_count_pr, cloud_droplets, do_sum, &
320	dt_3d, humidity, initializing_actions, land_surface, &
321	large_scale_forcing, large_scale_subsidence, max_pr_user, &
322	message_string, neutral, ocean_mode, passive_scalar, &
323	simulated_time, simulated_time_at_begin, &
324	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
325	ws_scheme_mom, ws_scheme_sca
326
327	USE cpulog, &
328	ONLY: cpu_log, log_point
329
330	USE grid_variables, &
331	ONLY: ddx, ddy
332
333	USE gust_mod, &
334	ONLY: gust_module_enabled, gust_statistics
335
336	USE indices, &
337	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
338	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzt, topo_min_level, &
339	wall_flags_0
340
341	USE kinds
342
343	USE bulk_cloud_model_mod, &
344	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
345
346	USE land_surface_model_mod, &
347	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
348
349	USE lsf_nudging_mod, &
350	ONLY: td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert
351
352	USE netcdf_interface, &
353	ONLY: dots_rad, dots_soil, dots_max
354
355	USE pegrid
356
357	USE radiation_model_mod, &
358	ONLY: radiation, radiation_scheme, &
359	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
360	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
361
362	#if defined ( __rrtmg )
363	USE radiation_model_mod, &
364	ONLY: rrtm_aldif, rrtm_aldir, rrtm_asdif, rrtm_asdir
365	#endif
366
367	USE statistics
368
369	USE surface_mod, &
370	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
371
372
373	IMPLICIT NONE
374
375	INTEGER(iwp) :: i !<
376	INTEGER(iwp) :: j !<
377	INTEGER(iwp) :: k !<
378	INTEGER(iwp) :: ki !<
379	INTEGER(iwp) :: k_surface_level !<
380	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
381	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
382	INTEGER(iwp) :: nt !<
383	!$ INTEGER(iwp) :: omp_get_thread_num !<
384	INTEGER(iwp) :: sr !<
385	INTEGER(iwp) :: tn !<
386
387	LOGICAL :: first !<
388
389	REAL(wp) :: dptdz_threshold !<
390	REAL(wp) :: fac !<
391	REAL(wp) :: flag !<
392	REAL(wp) :: height !<
393	REAL(wp) :: pts !<
394	REAL(wp) :: sums_l_etot !<
395	REAL(wp) :: ust !<
396	REAL(wp) :: ust2 !<
397	REAL(wp) :: u2 !<
398	REAL(wp) :: vst !<
399	REAL(wp) :: vst2 !<
400	REAL(wp) :: v2 !<
401	REAL(wp) :: w2 !<
402
403	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
404	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
405
406	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
407
408
409	!
410	!-- To be on the safe side, check whether flow_statistics has already been
411	!-- called once after the current time step
412	IF ( flow_statistics_called ) THEN
413
414	message_string = 'flow_statistics is called two times within one ' // &
415	'timestep'
416	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
417
418	ENDIF
419
420	!
421	!-- Compute statistics for each (sub-)region
422	DO sr = 0, statistic_regions
423
424	!
425	!-- Initialize (local) summation array
426	sums_l = 0.0_wp
427
428	!
429	!-- Store sums that have been computed in other subroutines in summation
430	!-- array
431	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
432	!-- WARNING: next line still has to be adjusted for OpenMP
433	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
434	heatflux_output_conversion ! heat flux from advec_s_bc
435	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
436	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
437
438	!
439	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
440	!-- scale) vertical fluxes and velocity variances by using commonly-
441	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
442	!-- in combination with the 5th order advection scheme, pronounced
443	!-- artificial kinks could be observed in the vertical profiles near the
444	!-- surface. Please note: these kinks were not related to the model truth,
445	!-- i.e. these kinks are just related to an evaluation problem.
446	!-- In order avoid these kinks, vertical fluxes and horizontal as well
447	!-- vertical velocity variances are calculated directly within the advection
448	!-- routines, according to the numerical discretization, to evaluate the
449	!-- statistical quantities as they will appear within the prognostic
450	!-- equations.
451	!-- Copy the turbulent quantities, evaluated in the advection routines to
452	!-- the local array sums_l() for further computations.
453	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
454
455	!
456	!-- According to the Neumann bc for the horizontal velocity components,
457	!-- the corresponding fluxes has to satisfiy the same bc.
458	IF ( ocean_mode ) THEN
459	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
460	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
461	ENDIF
462
463	DO i = 0, threads_per_task-1
464	!
465	!-- Swap the turbulent quantities evaluated in advec_ws.
466	sums_l(:,13,i) = sums_wsus_ws_l(:,i) &
467	* momentumflux_output_conversion ! wu
468	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) &
469	* momentumflux_output_conversion ! wv
470	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
471	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
472	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
473	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
474	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
475	sums_ws2_ws_l(:,i) ) ! e*
476	ENDDO
477
478	ENDIF
479
480	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
481
482	DO i = 0, threads_per_task-1
483	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
484	* heatflux_output_conversion ! wpt
485	IF ( ocean_mode ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
486	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
487	* waterflux_output_conversion ! wq
488	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
489	ENDDO
490
491	ENDIF
492	!
493	!-- Horizontally averaged profiles of horizontal velocities and temperature.
494	!-- They must have been computed before, because they are already required
495	!-- for other horizontal averages.
496	tn = 0
497	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
498	!$ tn = omp_get_thread_num()
499	!$OMP DO
500	DO i = nxl, nxr
501	DO j = nys, nyn
502	DO k = nzb, nzt+1
503	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
504	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) &
505	* flag
506	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) &
507	* flag
508	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) &
509	* flag
510	ENDDO
511	ENDDO
512	ENDDO
513
514	!
515	!-- Horizontally averaged profile of salinity
516	IF ( ocean_mode ) THEN
517	!$OMP DO
518	DO i = nxl, nxr
519	DO j = nys, nyn
520	DO k = nzb, nzt+1
521	sums_l(k,23,tn) = sums_l(k,23,tn) + sa(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
530	!
531	!-- Horizontally averaged profiles of virtual potential temperature,
532	!-- total water content, water vapor mixing ratio and liquid water potential
533	!-- temperature
534	IF ( humidity ) THEN
535	!$OMP DO
536	DO i = nxl, nxr
537	DO j = nys, nyn
538	DO k = nzb, nzt+1
539	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
540	sums_l(k,44,tn) = sums_l(k,44,tn) + &
541	vpt(k,j,i) * rmask(j,i,sr) * flag
542	sums_l(k,41,tn) = sums_l(k,41,tn) + &
543	q(k,j,i) * rmask(j,i,sr) * flag
544	ENDDO
545	ENDDO
546	ENDDO
547	IF ( bulk_cloud_model ) THEN
548	!$OMP DO
549	DO i = nxl, nxr
550	DO j = nys, nyn
551	DO k = nzb, nzt+1
552	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
553	sums_l(k,42,tn) = sums_l(k,42,tn) + &
554	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) &
555	* flag
556	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
557	pt(k,j,i) + lv_d_cp * d_exner(k) * ql(k,j,i) &
558	) * rmask(j,i,sr) &
559	* flag
560	ENDDO
561	ENDDO
562	ENDDO
563	ENDIF
564	ENDIF
565
566	!
567	!-- Horizontally averaged profiles of passive scalar
568	IF ( passive_scalar ) THEN
569	!$OMP DO
570	DO i = nxl, nxr
571	DO j = nys, nyn
572	DO k = nzb, nzt+1
573	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
574	* rmask(j,i,sr) &
575	* MERGE( 1.0_wp, 0.0_wp, &
576	BTEST( wall_flags_0(k,j,i), 22 ) )
577	ENDDO
578	ENDDO
579	ENDDO
580	ENDIF
581	!$OMP END PARALLEL
582	!
583	!-- Summation of thread sums
584	IF ( threads_per_task > 1 ) THEN
585	DO i = 1, threads_per_task-1
586	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
587	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
588	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
589	IF ( ocean_mode ) THEN
590	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
591	ENDIF
592	IF ( humidity ) THEN
593	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
594	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
595	IF ( bulk_cloud_model ) THEN
596	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
597	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
598	ENDIF
599	ENDIF
600	IF ( passive_scalar ) THEN
601	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
602	ENDIF
603	ENDDO
604	ENDIF
605
606	#if defined( __parallel )
607	!
608	!-- Compute total sum from local sums
609	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
610	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
611	MPI_SUM, comm2d, ierr )
612	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
613	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
614	MPI_SUM, comm2d, ierr )
615	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
616	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
617	MPI_SUM, comm2d, ierr )
618	IF ( ocean_mode ) THEN
619	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
620	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
621	MPI_REAL, MPI_SUM, comm2d, ierr )
622	ENDIF
623	IF ( humidity ) THEN
624	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
625	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
626	MPI_REAL, MPI_SUM, comm2d, ierr )
627	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
628	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
629	MPI_REAL, MPI_SUM, comm2d, ierr )
630	IF ( bulk_cloud_model ) THEN
631	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
632	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
633	MPI_REAL, MPI_SUM, comm2d, ierr )
634	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
635	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
636	MPI_REAL, MPI_SUM, comm2d, ierr )
637	ENDIF
638	ENDIF
639
640	IF ( passive_scalar ) THEN
641	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
642	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, &
643	MPI_REAL, MPI_SUM, comm2d, ierr )
644	ENDIF
645	#else
646	sums(:,1) = sums_l(:,1,0)
647	sums(:,2) = sums_l(:,2,0)
648	sums(:,4) = sums_l(:,4,0)
649	IF ( ocean_mode ) sums(:,23) = sums_l(:,23,0)
650	IF ( humidity ) THEN
651	sums(:,44) = sums_l(:,44,0)
652	sums(:,41) = sums_l(:,41,0)
653	IF ( bulk_cloud_model ) THEN
654	sums(:,42) = sums_l(:,42,0)
655	sums(:,43) = sums_l(:,43,0)
656	ENDIF
657	ENDIF
658	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
659	#endif
660
661	!
662	!-- Final values are obtained by division by the total number of grid points
663	!-- used for summation. After that store profiles.
664	sums(:,1) = sums(:,1) / ngp_2dh(sr)
665	sums(:,2) = sums(:,2) / ngp_2dh(sr)
666	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
667	hom(:,1,1,sr) = sums(:,1) ! u
668	hom(:,1,2,sr) = sums(:,2) ! v
669	hom(:,1,4,sr) = sums(:,4) ! pt
670
671
672	!
673	!-- Salinity
674	IF ( ocean_mode ) THEN
675	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
676	hom(:,1,23,sr) = sums(:,23) ! sa
677	ENDIF
678
679	!
680	!-- Humidity and cloud parameters
681	IF ( humidity ) THEN
682	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
683	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
684	hom(:,1,44,sr) = sums(:,44) ! vpt
685	hom(:,1,41,sr) = sums(:,41) ! qv (q)
686	IF ( bulk_cloud_model ) THEN
687	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
688	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
689	hom(:,1,42,sr) = sums(:,42) ! qv
690	hom(:,1,43,sr) = sums(:,43) ! pt
691	ENDIF
692	ENDIF
693
694	!
695	!-- Passive scalar
696	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / &
697	ngp_2dh_s_inner(:,sr) ! s
698
699	!
700	!-- Horizontally averaged profiles of the remaining prognostic variables,
701	!-- variances, the total and the perturbation energy (single values in last
702	!-- column of sums_l) and some diagnostic quantities.
703	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
704	!-- ---- speaking the following k-loop would have to be split up and
705	!-- rearranged according to the staggered grid.
706	!-- However, this implies no error since staggered velocity components
707	!-- are zero at the walls and inside buildings.
708	tn = 0
709	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, &
710	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
711	!$OMP w2, flag, m, ki, l )
712	!$ tn = omp_get_thread_num()
713	!$OMP DO
714	DO i = nxl, nxr
715	DO j = nys, nyn
716	sums_l_etot = 0.0_wp
717	DO k = nzb, nzt+1
718	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
719	!
720	!-- Prognostic and diagnostic variables
721	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) &
722	* flag
723	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) &
724	* flag
725	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) &
726	* flag
727	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) &
728	* flag
729	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
730	/ momentumflux_output_conversion(k) ) &
731	* flag
732
733	sums_l(k,33,tn) = sums_l(k,33,tn) + &
734	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)&
735	* flag
736
737	IF ( humidity ) THEN
738	sums_l(k,70,tn) = sums_l(k,70,tn) + &
739	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)&
740	* flag
741	ENDIF
742	IF ( passive_scalar ) THEN
743	sums_l(k,116,tn) = sums_l(k,116,tn) + &
744	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr)&
745	* flag
746	ENDIF
747	!
748	!-- Higher moments
749	!-- (Computation of the skewness of w further below)
750	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) &
751	* flag
752
753	sums_l_etot = sums_l_etot + &
754	0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + &
755	w(k,j,i)*2 ) rmask(j,i,sr)&
756	* flag
757	ENDDO
758	!
759	!-- Total and perturbation energy for the total domain (being
760	!-- collected in the last column of sums_l). Summation of these
761	!-- quantities is seperated from the previous loop in order to
762	!-- allow vectorization of that loop.
763	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
764	!
765	!-- 2D-arrays (being collected in the last column of sums_l)
766	IF ( surf_def_h(0)%end_index(j,i) >= &
767	surf_def_h(0)%start_index(j,i) ) THEN
768	m = surf_def_h(0)%start_index(j,i)
769	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
770	surf_def_h(0)%us(m) * rmask(j,i,sr)
771	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
772	surf_def_h(0)%usws(m) * rmask(j,i,sr)
773	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
774	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
775	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
776	surf_def_h(0)%ts(m) * rmask(j,i,sr)
777	IF ( humidity ) THEN
778	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
779	surf_def_h(0)%qs(m) * rmask(j,i,sr)
780	ENDIF
781	IF ( passive_scalar ) THEN
782	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
783	surf_def_h(0)%ss(m) * rmask(j,i,sr)
784	ENDIF
785	!
786	!-- Summation of surface temperature.
787	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
788	surf_def_h(0)%pt_surface(m) * &
789	rmask(j,i,sr)
790	ENDIF
791	IF ( surf_lsm_h%end_index(j,i) >= surf_lsm_h%start_index(j,i) ) THEN
792	m = surf_lsm_h%start_index(j,i)
793	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
794	surf_lsm_h%us(m) * rmask(j,i,sr)
795	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
796	surf_lsm_h%usws(m) * rmask(j,i,sr)
797	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
798	surf_lsm_h%vsws(m) * rmask(j,i,sr)
799	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
800	surf_lsm_h%ts(m) * rmask(j,i,sr)
801	IF ( humidity ) THEN
802	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
803	surf_lsm_h%qs(m) * rmask(j,i,sr)
804	ENDIF
805	IF ( passive_scalar ) THEN
806	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
807	surf_lsm_h%ss(m) * rmask(j,i,sr)
808	ENDIF
809	!
810	!-- Summation of surface temperature.
811	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
812	surf_lsm_h%pt_surface(m) * &
813	rmask(j,i,sr)
814	ENDIF
815	IF ( surf_usm_h%end_index(j,i) >= surf_usm_h%start_index(j,i) ) THEN
816	m = surf_usm_h%start_index(j,i)
817	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
818	surf_usm_h%us(m) * rmask(j,i,sr)
819	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
820	surf_usm_h%usws(m) * rmask(j,i,sr)
821	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
822	surf_usm_h%vsws(m) * rmask(j,i,sr)
823	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
824	surf_usm_h%ts(m) * rmask(j,i,sr)
825	IF ( humidity ) THEN
826	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
827	surf_usm_h%qs(m) * rmask(j,i,sr)
828	ENDIF
829	IF ( passive_scalar ) THEN
830	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
831	surf_usm_h%ss(m) * rmask(j,i,sr)
832	ENDIF
833	!
834	!-- Summation of surface temperature.
835	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
836	surf_usm_h%pt_surface(m) * &
837	rmask(j,i,sr)
838	ENDIF
839	ENDDO
840	ENDDO
841
842	!
843	!-- Computation of statistics when ws-scheme is not used. Else these
844	!-- quantities are evaluated in the advection routines.
845	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) &
846	THEN
847	!$OMP DO
848	DO i = nxl, nxr
849	DO j = nys, nyn
850	DO k = nzb, nzt+1
851	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
852
853	u2 = u(k,j,i)**2
854	v2 = v(k,j,i)**2
855	w2 = w(k,j,i)**2
856	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
857	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
858
859	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) &
860	* flag
861	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) &
862	* flag
863	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) &
864	* flag
865	!
866	!-- Perturbation energy
867
868	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5_wp * &
869	( ust2 + vst2 + w2 ) * rmask(j,i,sr) &
870	* flag
871	ENDDO
872	ENDDO
873	ENDDO
874	ENDIF
875	!
876	!-- Computaion of domain-averaged perturbation energy. Please note,
877	!-- to prevent that perturbation energy is larger (even if only slightly)
878	!-- than the total kinetic energy, calculation is based on deviations from
879	!-- the horizontal mean, instead of spatial descretization of the advection
880	!-- term.
881	!$OMP DO
882	DO i = nxl, nxr
883	DO j = nys, nyn
884	DO k = nzb, nzt+1
885	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
886
887	w2 = w(k,j,i)**2
888	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
889	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
890	w2 = w(k,j,i)**2
891
892	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
893	+ 0.5_wp * ( ust2 + vst2 + w2 ) &
894	* rmask(j,i,sr) &
895	* flag
896	ENDDO
897	ENDDO
898	ENDDO
899
900	!
901	!-- Horizontally averaged profiles of the vertical fluxes
902
903	!$OMP DO
904	DO i = nxl, nxr
905	DO j = nys, nyn
906	!
907	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
908	!-- oterwise from k=nzb+1)
909	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
910	!-- ---- strictly speaking the following k-loop would have to be
911	!-- split up according to the staggered grid.
912	!-- However, this implies no error since staggered velocity
913	!-- components are zero at the walls and inside buildings.
914	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes,
915	!-- which are added further below.
916	DO k = nzb, nzt
917	flag = MERGE( 1.0_wp, 0.0_wp, &
918	BTEST( wall_flags_0(k,j,i), 23 ) ) * &
919	MERGE( 1.0_wp, 0.0_wp, &
920	BTEST( wall_flags_0(k,j,i), 9 ) )
921	!
922	!-- Momentum flux w"u"
923	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
924	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
925	) * ( &
926	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
927	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
928	) * rmask(j,i,sr) &
929	* rho_air_zw(k) &
930	* momentumflux_output_conversion(k) &
931	* flag
932	!
933	!-- Momentum flux w"v"
934	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
935	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
936	) * ( &
937	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
938	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
939	) * rmask(j,i,sr) &
940	* rho_air_zw(k) &
941	* momentumflux_output_conversion(k) &
942	* flag
943	!
944	!-- Heat flux w"pt"
945	sums_l(k,16,tn) = sums_l(k,16,tn) &
946	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
947	* ( pt(k+1,j,i) - pt(k,j,i) ) &
948	* rho_air_zw(k) &
949	* heatflux_output_conversion(k) &
950	* ddzu(k+1) * rmask(j,i,sr) &
951	* flag
952
953
954	!
955	!-- Salinity flux w"sa"
956	IF ( ocean_mode ) THEN
957	sums_l(k,65,tn) = sums_l(k,65,tn) &
958	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
959	* ( sa(k+1,j,i) - sa(k,j,i) ) &
960	* ddzu(k+1) * rmask(j,i,sr) &
961	* flag
962	ENDIF
963
964	!
965	!-- Buoyancy flux, water flux (humidity flux) w"q"
966	IF ( humidity ) THEN
967	sums_l(k,45,tn) = sums_l(k,45,tn) &
968	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
969	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
970	* rho_air_zw(k) &
971	* heatflux_output_conversion(k) &
972	* ddzu(k+1) * rmask(j,i,sr) * flag
973	sums_l(k,48,tn) = sums_l(k,48,tn) &
974	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
975	* ( q(k+1,j,i) - q(k,j,i) ) &
976	* rho_air_zw(k) &
977	* waterflux_output_conversion(k)&
978	* ddzu(k+1) * rmask(j,i,sr) * flag
979
980	IF ( bulk_cloud_model ) THEN
981	sums_l(k,51,tn) = sums_l(k,51,tn) &
982	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
983	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
984	- ( q(k,j,i) - ql(k,j,i) ) ) &
985	* rho_air_zw(k) &
986	* waterflux_output_conversion(k)&
987	* ddzu(k+1) * rmask(j,i,sr) * flag
988	ENDIF
989	ENDIF
990
991	!
992	!-- Passive scalar flux
993	IF ( passive_scalar ) THEN
994	sums_l(k,117,tn) = sums_l(k,117,tn) &
995	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
996	* ( s(k+1,j,i) - s(k,j,i) ) &
997	* ddzu(k+1) * rmask(j,i,sr) &
998	* flag
999	ENDIF
1000
1001	ENDDO
1002
1003	!
1004	!-- Subgridscale fluxes in the Prandtl layer
1005	IF ( use_surface_fluxes ) THEN
1006	DO l = 0, 1
1007	ki = MERGE( -1, 0, l == 0 )
1008	IF ( surf_def_h(l)%ns >= 1 ) THEN
1009	DO m = surf_def_h(l)%start_index(j,i), &
1010	surf_def_h(l)%end_index(j,i)
1011	k = surf_def_h(l)%k(m)
1012
1013	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
1014	momentumflux_output_conversion(k+ki) * &
1015	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
1016	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
1017	momentumflux_output_conversion(k+ki) * &
1018	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
1019	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
1020	heatflux_output_conversion(k+ki) * &
1021	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
1022	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
1023	0.0_wp * rmask(j,i,sr) ! u"pt"
1024	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
1025	0.0_wp * rmask(j,i,sr) ! v"pt"
1026	IF ( ocean_mode ) THEN
1027	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
1028	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
1029	ENDIF
1030	IF ( humidity ) THEN
1031	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
1032	waterflux_output_conversion(k+ki) * &
1033	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1034	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
1035	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
1036	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
1037	surf_def_h(l)%qsws(m) ) &
1038	* heatflux_output_conversion(k+ki)
1039	IF ( cloud_droplets ) THEN
1040	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
1041	( 1.0_wp + 0.61_wp * q(k+ki,j,i) - &
1042	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
1043	0.61_wp * pt(k+ki,j,i) * surf_def_h(l)%qsws(m) ) &
1044	* heatflux_output_conversion(k+ki)
1045	ENDIF
1046	IF ( bulk_cloud_model ) THEN
1047	!
1048	!-- Formula does not work if ql(k+ki) /= 0.0
1049	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
1050	waterflux_output_conversion(k+ki) * &
1051	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1052	ENDIF
1053	ENDIF
1054	IF ( passive_scalar ) THEN
1055	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
1056	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
1057	ENDIF
1058
1059	ENDDO
1060
1061	ENDIF
1062	ENDDO
1063	IF ( surf_lsm_h%end_index(j,i) >= &
1064	surf_lsm_h%start_index(j,i) ) THEN
1065	m = surf_lsm_h%start_index(j,i)
1066	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1067	momentumflux_output_conversion(nzb) * &
1068	surf_lsm_h%usws(m) * rmask(j,i,sr) ! w"u"
1069	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1070	momentumflux_output_conversion(nzb) * &
1071	surf_lsm_h%vsws(m) * rmask(j,i,sr) ! w"v"
1072	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1073	heatflux_output_conversion(nzb) * &
1074	surf_lsm_h%shf(m) * rmask(j,i,sr) ! w"pt"
1075	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1076	0.0_wp * rmask(j,i,sr) ! u"pt"
1077	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1078	0.0_wp * rmask(j,i,sr) ! v"pt"
1079	IF ( ocean_mode ) THEN
1080	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1081	surf_lsm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
1082	ENDIF
1083	IF ( humidity ) THEN
1084	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1085	waterflux_output_conversion(nzb) * &
1086	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1087	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1088	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1089	surf_lsm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1090	surf_lsm_h%qsws(m) ) &
1091	* heatflux_output_conversion(nzb)
1092	IF ( cloud_droplets ) THEN
1093	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1094	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1095	ql(nzb,j,i) ) * surf_lsm_h%shf(m) + &
1096	0.61_wp * pt(nzb,j,i) * surf_lsm_h%qsws(m) ) &
1097	* heatflux_output_conversion(nzb)
1098	ENDIF
1099	IF ( bulk_cloud_model ) THEN
1100	!
1101	!-- Formula does not work if ql(nzb) /= 0.0
1102	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1103	waterflux_output_conversion(nzb) * &
1104	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1105	ENDIF
1106	ENDIF
1107	IF ( passive_scalar ) THEN
1108	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1109	surf_lsm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1110	ENDIF
1111
1112
1113	ENDIF
1114	IF ( surf_usm_h%end_index(j,i) >= &
1115	surf_usm_h%start_index(j,i) ) THEN
1116	m = surf_usm_h%start_index(j,i)
1117	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1118	momentumflux_output_conversion(nzb) * &
1119	surf_usm_h%usws(m) * rmask(j,i,sr) ! w"u"
1120	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1121	momentumflux_output_conversion(nzb) * &
1122	surf_usm_h%vsws(m) * rmask(j,i,sr) ! w"v"
1123	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1124	heatflux_output_conversion(nzb) * &
1125	surf_usm_h%shf(m) * rmask(j,i,sr) ! w"pt"
1126	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1127	0.0_wp * rmask(j,i,sr) ! u"pt"
1128	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1129	0.0_wp * rmask(j,i,sr) ! v"pt"
1130	IF ( ocean_mode ) THEN
1131	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1132	surf_usm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
1133	ENDIF
1134	IF ( humidity ) THEN
1135	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1136	waterflux_output_conversion(nzb) * &
1137	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1138	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1139	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1140	surf_usm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1141	surf_usm_h%qsws(m) ) &
1142	* heatflux_output_conversion(nzb)
1143	IF ( cloud_droplets ) THEN
1144	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1145	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1146	ql(nzb,j,i) ) * surf_usm_h%shf(m) + &
1147	0.61_wp * pt(nzb,j,i) * surf_usm_h%qsws(m) ) &
1148	* heatflux_output_conversion(nzb)
1149	ENDIF
1150	IF ( bulk_cloud_model ) THEN
1151	!
1152	!-- Formula does not work if ql(nzb) /= 0.0
1153	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1154	waterflux_output_conversion(nzb) * &
1155	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1156	ENDIF
1157	ENDIF
1158	IF ( passive_scalar ) THEN
1159	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1160	surf_usm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1161	ENDIF
1162
1163
1164	ENDIF
1165
1166	ENDIF
1167
1168	IF ( .NOT. neutral ) THEN
1169	IF ( surf_def_h(0)%end_index(j,i) >= &
1170	surf_def_h(0)%start_index(j,i) ) THEN
1171	m = surf_def_h(0)%start_index(j,i)
1172	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1173	surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1174	ENDIF
1175	IF ( surf_lsm_h%end_index(j,i) >= &
1176	surf_lsm_h%start_index(j,i) ) THEN
1177	m = surf_lsm_h%start_index(j,i)
1178	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1179	surf_lsm_h%ol(m) * rmask(j,i,sr) ! L
1180	ENDIF
1181	IF ( surf_usm_h%end_index(j,i) >= &
1182	surf_usm_h%start_index(j,i) ) THEN
1183	m = surf_usm_h%start_index(j,i)
1184	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1185	surf_usm_h%ol(m) * rmask(j,i,sr) ! L
1186	ENDIF
1187	ENDIF
1188
1189	IF ( radiation ) THEN
1190	IF ( surf_def_h(0)%end_index(j,i) >= &
1191	surf_def_h(0)%start_index(j,i) ) THEN
1192	m = surf_def_h(0)%start_index(j,i)
1193	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1194	surf_def_h(0)%rad_net(m) * rmask(j,i,sr)
1195	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1196	surf_def_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1197	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1198	surf_def_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1199	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1200	surf_def_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1201	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1202	surf_def_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1203	ENDIF
1204	IF ( surf_lsm_h%end_index(j,i) >= &
1205	surf_lsm_h%start_index(j,i) ) THEN
1206	m = surf_lsm_h%start_index(j,i)
1207	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1208	surf_lsm_h%rad_net(m) * rmask(j,i,sr)
1209	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1210	surf_lsm_h%rad_lw_in(m) * rmask(j,i,sr)
1211	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1212	surf_lsm_h%rad_lw_out(m) * rmask(j,i,sr)
1213	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1214	surf_lsm_h%rad_sw_in(m) * rmask(j,i,sr)
1215	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1216	surf_lsm_h%rad_sw_out(m) * rmask(j,i,sr)
1217	ENDIF
1218	IF ( surf_usm_h%end_index(j,i) >= &
1219	surf_usm_h%start_index(j,i) ) THEN
1220	m = surf_usm_h%start_index(j,i)
1221	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1222	surf_usm_h%rad_net(m) * rmask(j,i,sr)
1223	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1224	surf_usm_h%rad_lw_in(m) * rmask(j,i,sr)
1225	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1226	surf_usm_h%rad_lw_out(m) * rmask(j,i,sr)
1227	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1228	surf_usm_h%rad_sw_in(m) * rmask(j,i,sr)
1229	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1230	surf_usm_h%rad_sw_out(m) * rmask(j,i,sr)
1231	ENDIF
1232
1233	#if defined ( __rrtmg )
1234	IF ( radiation_scheme == 'rrtmg' ) THEN
1235
1236	IF ( surf_def_h(0)%end_index(j,i) >= &
1237	surf_def_h(0)%start_index(j,i) ) THEN
1238	m = surf_def_h(0)%start_index(j,i)
1239	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1240	surf_def_h(0)%rrtm_aldif(0,m) * rmask(j,i,sr)
1241	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1242	surf_def_h(0)%rrtm_aldir(0,m) * rmask(j,i,sr)
1243	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1244	surf_def_h(0)%rrtm_asdif(0,m) * rmask(j,i,sr)
1245	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1246	surf_def_h(0)%rrtm_asdir(0,m) * rmask(j,i,sr)
1247	ENDIF
1248	IF ( surf_lsm_h%end_index(j,i) >= &
1249	surf_lsm_h%start_index(j,i) ) THEN
1250	m = surf_lsm_h%start_index(j,i)
1251	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1252	SUM( surf_lsm_h%frac(:,m) * &
1253	surf_lsm_h%rrtm_aldif(:,m) ) * rmask(j,i,sr)
1254	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1255	SUM( surf_lsm_h%frac(:,m) * &
1256	surf_lsm_h%rrtm_aldir(:,m) ) * rmask(j,i,sr)
1257	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1258	SUM( surf_lsm_h%frac(:,m) * &
1259	surf_lsm_h%rrtm_asdif(:,m) ) * rmask(j,i,sr)
1260	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1261	SUM( surf_lsm_h%frac(:,m) * &
1262	surf_lsm_h%rrtm_asdir(:,m) ) * rmask(j,i,sr)
1263	ENDIF
1264	IF ( surf_usm_h%end_index(j,i) >= &
1265	surf_usm_h%start_index(j,i) ) THEN
1266	m = surf_usm_h%start_index(j,i)
1267	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1268	SUM( surf_usm_h%frac(:,m) * &
1269	surf_usm_h%rrtm_aldif(:,m) ) * rmask(j,i,sr)
1270	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1271	SUM( surf_usm_h%frac(:,m) * &
1272	surf_usm_h%rrtm_aldir(:,m) ) * rmask(j,i,sr)
1273	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1274	SUM( surf_usm_h%frac(:,m) * &
1275	surf_usm_h%rrtm_asdif(:,m) ) * rmask(j,i,sr)
1276	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1277	SUM( surf_usm_h%frac(:,m) * &
1278	surf_usm_h%rrtm_asdir(:,m) ) * rmask(j,i,sr)
1279	ENDIF
1280
1281	ENDIF
1282	#endif
1283	ENDIF
1284	!
1285	!-- Subgridscale fluxes at the top surface
1286	IF ( use_top_fluxes ) THEN
1287	m = surf_def_h(2)%start_index(j,i)
1288	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
1289	momentumflux_output_conversion(nzt:nzt+1) * &
1290	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1291	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
1292	momentumflux_output_conversion(nzt:nzt+1) * &
1293	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1294	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
1295	heatflux_output_conversion(nzt:nzt+1) * &
1296	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1297	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1298	0.0_wp * rmask(j,i,sr) ! u"pt"
1299	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1300	0.0_wp * rmask(j,i,sr) ! v"pt"
1301
1302	IF ( ocean_mode ) THEN
1303	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1304	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1305	ENDIF
1306	IF ( humidity ) THEN
1307	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1308	waterflux_output_conversion(nzt) * &
1309	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1310	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1311	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
1312	surf_def_h(2)%shf(m) + &
1313	0.61_wp * pt(nzt,j,i) * &
1314	surf_def_h(2)%qsws(m) ) &
1315	* heatflux_output_conversion(nzt)
1316	IF ( cloud_droplets ) THEN
1317	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1318	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1319	ql(nzt,j,i) ) * &
1320	surf_def_h(2)%shf(m) + &
1321	0.61_wp * pt(nzt,j,i) * &
1322	surf_def_h(2)%qsws(m) )&
1323	* heatflux_output_conversion(nzt)
1324	ENDIF
1325	IF ( bulk_cloud_model ) THEN
1326	!
1327	!-- Formula does not work if ql(nzb) /= 0.0
1328	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1329	waterflux_output_conversion(nzt) * &
1330	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1331	ENDIF
1332	ENDIF
1333	IF ( passive_scalar ) THEN
1334	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1335	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1336	ENDIF
1337	ENDIF
1338
1339	!
1340	!-- Resolved fluxes (can be computed for all horizontal points)
1341	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
1342	!-- ---- speaking the following k-loop would have to be split up and
1343	!-- rearranged according to the staggered grid.
1344	DO k = nzb, nzt
1345	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
1346	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1347	u(k+1,j,i) - hom(k+1,1,1,sr) )
1348	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1349	v(k+1,j,i) - hom(k+1,1,2,sr) )
1350	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1351	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1352
1353	!-- Higher moments
1354	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
1355	rmask(j,i,sr) * flag
1356	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
1357	rmask(j,i,sr) * flag
1358
1359	!
1360	!-- Salinity flux and density (density does not belong to here,
1361	!-- but so far there is no other suitable place to calculate)
1362	IF ( ocean_mode ) THEN
1363	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1364	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1365	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1366	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1367	rmask(j,i,sr) * flag
1368	ENDIF
1369	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * &
1370	rmask(j,i,sr) * flag
1371	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
1372	rmask(j,i,sr) * flag
1373	ENDIF
1374
1375	!
1376	!-- Buoyancy flux, water flux, humidity flux, liquid water
1377	!-- content, rain drop concentration and rain water content
1378	IF ( humidity ) THEN
1379	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
1380	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1381	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1382	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1383	heatflux_output_conversion(k) * &
1384	rmask(j,i,sr) * flag
1385	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) &
1386	* flag
1387
1388	IF ( .NOT. cloud_droplets ) THEN
1389	pts = 0.5_wp * &
1390	( ( q(k,j,i) - ql(k,j,i) ) - &
1391	hom(k,1,42,sr) + &
1392	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1393	hom(k+1,1,42,sr) )
1394	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1395	waterflux_output_conversion(k) * &
1396	rmask(j,i,sr) * &
1397	flag
1398	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
1399	rmask(j,i,sr) * &
1400	flag
1401	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * &
1402	rmask(j,i,sr) * &
1403	flag
1404	IF ( microphysics_morrison ) THEN
1405	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * &
1406	rmask(j,i,sr) *&
1407	flag
1408	ENDIF
1409	IF ( microphysics_seifert ) THEN
1410	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
1411	rmask(j,i,sr) *&
1412	flag
1413	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
1414	rmask(j,i,sr) *&
1415	flag
1416	ENDIF
1417	ENDIF
1418
1419	ELSE
1420	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1421	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1422	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1423	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1424	heatflux_output_conversion(k) * &
1425	rmask(j,i,sr) * &
1426	flag
1427	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1428	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1429	hom(k,1,41,sr) ) * &
1430	sums_l(k,17,tn) + &
1431	0.61_wp * hom(k,1,4,sr) * &
1432	sums_l(k,49,tn) &
1433	) * heatflux_output_conversion(k) * &
1434	flag
1435	END IF
1436	END IF
1437	ENDIF
1438	!
1439	!-- Passive scalar flux
1440	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
1441	.OR. sr /= 0 ) ) THEN
1442	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1443	s(k+1,j,i) - hom(k+1,1,115,sr) )
1444	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1445	rmask(j,i,sr) * flag
1446	ENDIF
1447
1448	!
1449	!-- Energy flux we
1450	!-- has to be adjusted
1451	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1452	( ust2 + vst2 + w(k,j,i)**2 ) &
1453	* rho_air_zw(k) &
1454	* momentumflux_output_conversion(k) &
1455	* rmask(j,i,sr) * flag
1456	ENDDO
1457	ENDDO
1458	ENDDO
1459	!$OMP END PARALLEL
1460	!
1461	!-- Treat land-surface quantities according to new wall model structure.
1462	IF ( land_surface ) THEN
1463	tn = 0
1464	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1465	!$ tn = omp_get_thread_num()
1466	!$OMP DO
1467	DO m = 1, surf_lsm_h%ns
1468	i = surf_lsm_h%i(m)
1469	j = surf_lsm_h%j(m)
1470
1471	IF ( i >= nxl .AND. i <= nxr .AND. &
1472	j >= nys .AND. j <= nyn ) THEN
1473	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h%ghf(m)
1474	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h%qsws_liq(m)
1475	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h%qsws_soil(m)
1476	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h%qsws_veg(m)
1477	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h%r_a(m)
1478	sums_l(nzb,98,tn) = sums_l(nzb,98,tn)+ surf_lsm_h%r_s(m)
1479	ENDIF
1480	ENDDO
1481	!$OMP END PARALLEL
1482
1483	tn = 0
1484	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1485	!$ tn = omp_get_thread_num()
1486	!$OMP DO
1487	DO m = 1, surf_lsm_h%ns
1488
1489	i = surf_lsm_h%i(m)
1490	j = surf_lsm_h%j(m)
1491
1492	IF ( i >= nxl .AND. i <= nxr .AND. &
1493	j >= nys .AND. j <= nyn ) THEN
1494
1495	DO k = nzb_soil, nzt_soil
1496	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h%var_2d(k,m) &
1497	* rmask(j,i,sr)
1498	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h%var_2d(k,m) &
1499	* rmask(j,i,sr)
1500	ENDDO
1501	ENDIF
1502	ENDDO
1503	!$OMP END PARALLEL
1504	ENDIF
1505	!
1506	!-- For speed optimization fluxes which have been computed in part directly
1507	!-- inside the WS advection routines are treated seperatly
1508	!-- Momentum fluxes first:
1509
1510	tn = 0
1511	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
1512	!$ tn = omp_get_thread_num()
1513	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1514	!$OMP DO
1515	DO i = nxl, nxr
1516	DO j = nys, nyn
1517	DO k = nzb, nzt
1518	!
1519	!-- Flag 23 is used to mask surface fluxes as well as model-top
1520	!-- fluxes, which are added further below.
1521	flag = MERGE( 1.0_wp, 0.0_wp, &
1522	BTEST( wall_flags_0(k,j,i), 23 ) ) * &
1523	MERGE( 1.0_wp, 0.0_wp, &
1524	BTEST( wall_flags_0(k,j,i), 9 ) )
1525
1526	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1527	u(k+1,j,i) - hom(k+1,1,1,sr) )
1528	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1529	v(k+1,j,i) - hom(k+1,1,2,sr) )
1530	!
1531	!-- Momentum flux wu
1532	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
1533	( w(k,j,i-1) + w(k,j,i) ) &
1534	* rho_air_zw(k) &
1535	* momentumflux_output_conversion(k) &
1536	* ust * rmask(j,i,sr) &
1537	* flag
1538	!
1539	!-- Momentum flux wv
1540	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * &
1541	( w(k,j-1,i) + w(k,j,i) ) &
1542	* rho_air_zw(k) &
1543	* momentumflux_output_conversion(k) &
1544	* vst * rmask(j,i,sr) &
1545	* flag
1546	ENDDO
1547	ENDDO
1548	ENDDO
1549
1550	ENDIF
1551	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1552	!$OMP DO
1553	DO i = nxl, nxr
1554	DO j = nys, nyn
1555	DO k = nzb, nzt
1556	flag = MERGE( 1.0_wp, 0.0_wp, &
1557	BTEST( wall_flags_0(k,j,i), 23 ) ) * &
1558	MERGE( 1.0_wp, 0.0_wp, &
1559	BTEST( wall_flags_0(k,j,i), 9 ) )
1560	!
1561	!-- Vertical heat flux
1562	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1563	( pt(k,j,i) - hom(k,1,4,sr) + &
1564	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1565	* heatflux_output_conversion(k) &
1566	* w(k,j,i) * rmask(j,i,sr) * flag
1567	IF ( humidity ) THEN
1568	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1569	q(k+1,j,i) - hom(k+1,1,41,sr) )
1570	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1571	waterflux_output_conversion(k) * &
1572	rmask(j,i,sr) * flag
1573	ENDIF
1574	IF ( passive_scalar ) THEN
1575	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1576	s(k+1,j,i) - hom(k+1,1,115,sr) )
1577	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1578	rmask(j,i,sr) * flag
1579	ENDIF
1580	ENDDO
1581	ENDDO
1582	ENDDO
1583
1584	ENDIF
1585
1586	!
1587	!-- Density at top follows Neumann condition
1588	IF ( ocean_mode ) THEN
1589	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1590	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1591	ENDIF
1592
1593	!
1594	!-- Divergence of vertical flux of resolved scale energy and pressure
1595	!-- fluctuations as well as flux of pressure fluctuation itself (68).
1596	!-- First calculate the products, then the divergence.
1597	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1598	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) &
1599	THEN
1600	sums_ll = 0.0_wp ! local array
1601
1602	!$OMP DO
1603	DO i = nxl, nxr
1604	DO j = nys, nyn
1605	DO k = nzb+1, nzt
1606	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1607
1608	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1609	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1610	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2&
1611	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1612	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2&
1613	+ w(k,j,i)*2 ) flag
1614
1615	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1616	* ( ( p(k,j,i) + p(k+1,j,i) ) &
1617	/ momentumflux_output_conversion(k) ) &
1618	* flag
1619
1620	ENDDO
1621	ENDDO
1622	ENDDO
1623	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1624	sums_ll(nzt+1,1) = 0.0_wp
1625	sums_ll(0,2) = 0.0_wp
1626	sums_ll(nzt+1,2) = 0.0_wp
1627
1628	DO k = nzb+1, nzt
1629	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1630	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1631	sums_l(k,68,tn) = sums_ll(k,2)
1632	ENDDO
1633	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1634	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1635	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1636
1637	ENDIF
1638
1639	!
1640	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1641	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) &
1642	THEN
1643	!$OMP DO
1644	DO i = nxl, nxr
1645	DO j = nys, nyn
1646	DO k = nzb+1, nzt
1647
1648	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1649
1650	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1651	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1652	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1653	) * ddzw(k) &
1654	* flag
1655
1656	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1657	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1658	) * flag
1659
1660	ENDDO
1661	ENDDO
1662	ENDDO
1663	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1664	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1665
1666	ENDIF
1667
1668	!
1669	!-- Horizontal heat fluxes (subgrid, resolved, total).
1670	!-- Do it only, if profiles shall be plotted.
1671	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1672
1673	!$OMP DO
1674	DO i = nxl, nxr
1675	DO j = nys, nyn
1676	DO k = nzb+1, nzt
1677	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1678	!
1679	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1680	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1681	( kh(k,j,i) + kh(k,j,i-1) ) &
1682	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1683	* rho_air_zw(k) &
1684	* heatflux_output_conversion(k) &
1685	* ddx * rmask(j,i,sr) * flag
1686	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1687	( kh(k,j,i) + kh(k,j-1,i) ) &
1688	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1689	* rho_air_zw(k) &
1690	* heatflux_output_conversion(k) &
1691	* ddy * rmask(j,i,sr) * flag
1692	!
1693	!-- Resolved horizontal heat fluxes upt, vpt
1694	sums_l(k,59,tn) = sums_l(k,59,tn) + &
1695	( u(k,j,i) - hom(k,1,1,sr) ) &
1696	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1697	pt(k,j,i) - hom(k,1,4,sr) ) &
1698	* heatflux_output_conversion(k) &
1699	* flag
1700	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1701	pt(k,j,i) - hom(k,1,4,sr) )
1702	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1703	( v(k,j,i) - hom(k,1,2,sr) ) &
1704	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1705	pt(k,j,i) - hom(k,1,4,sr) ) &
1706	* heatflux_output_conversion(k) &
1707	* flag
1708	ENDDO
1709	ENDDO
1710	ENDDO
1711	!
1712	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1713	sums_l(nzb,58,tn) = 0.0_wp
1714	sums_l(nzb,59,tn) = 0.0_wp
1715	sums_l(nzb,60,tn) = 0.0_wp
1716	sums_l(nzb,61,tn) = 0.0_wp
1717	sums_l(nzb,62,tn) = 0.0_wp
1718	sums_l(nzb,63,tn) = 0.0_wp
1719
1720	ENDIF
1721	!$OMP END PARALLEL
1722
1723	!
1724	!-- Collect current large scale advection and subsidence tendencies for
1725	!-- data output
1726	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1727	!
1728	!-- Interpolation in time of LSF_DATA
1729	nt = 1
1730	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1731	nt = nt + 1
1732	ENDDO
1733	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1734	nt = nt - 1
1735	ENDIF
1736
1737	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
1738	/ ( time_vert(nt+1)-time_vert(nt) )
1739
1740
1741	DO k = nzb, nzt
1742	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
1743	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1744	sums_ls_l(k,1) = td_lsa_q(k,nt) &
1745	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1746	ENDDO
1747
1748	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1749	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1750
1751	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1752
1753	DO k = nzb, nzt
1754	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
1755	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1756	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
1757	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1758	ENDDO
1759
1760	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1761	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1762
1763	ENDIF
1764
1765	ENDIF
1766
1767	tn = 0
1768	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1769	!$ tn = omp_get_thread_num()
1770	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1771	!$OMP DO
1772	DO i = nxl, nxr
1773	DO j = nys, nyn
1774	DO k = nzb+1, nzt+1
1775	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1776
1777	sums_l(k,100,tn) = sums_l(k,100,tn) + rad_lw_in(k,j,i) &
1778	* rmask(j,i,sr) * flag
1779	sums_l(k,101,tn) = sums_l(k,101,tn) + rad_lw_out(k,j,i) &
1780	* rmask(j,i,sr) * flag
1781	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_sw_in(k,j,i) &
1782	* rmask(j,i,sr) * flag
1783	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_sw_out(k,j,i) &
1784	* rmask(j,i,sr) * flag
1785	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_lw_cs_hr(k,j,i) &
1786	* rmask(j,i,sr) * flag
1787	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_lw_hr(k,j,i) &
1788	* rmask(j,i,sr) * flag
1789	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_sw_cs_hr(k,j,i) &
1790	* rmask(j,i,sr) * flag
1791	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_sw_hr(k,j,i) &
1792	* rmask(j,i,sr) * flag
1793	ENDDO
1794	ENDDO
1795	ENDDO
1796	ENDIF
1797	!
1798	!-- Calculate the gust module profiles
1799	IF ( gust_module_enabled ) THEN
1800	CALL gust_statistics( 'profiles', sr, tn, dots_max )
1801	ENDIF
1802	!
1803	!-- Calculate the chemistry module profiles
1804	IF ( air_chemistry ) THEN
1805	CALL chem_statistics( 'profiles', sr, tn )
1806	ENDIF
1807	!
1808	!-- Calculate the user-defined profiles
1809	CALL user_statistics( 'profiles', sr, tn )
1810	!$OMP END PARALLEL
1811
1812	!
1813	!-- Summation of thread sums
1814	IF ( threads_per_task > 1 ) THEN
1815	DO i = 1, threads_per_task-1
1816	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1817	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1818	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1819	sums_l(:,45:pr_palm,i)
1820	IF ( max_pr_user > 0 ) THEN
1821	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1822	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1823	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1824	ENDIF
1825
1826	IF ( air_chemistry ) THEN
1827	IF ( max_pr_cs > 0 ) THEN
1828	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+ max_pr_cs,0) = &
1829	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,0) + &
1830	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,i)
1831
1832	ENDIF
1833	ENDIF
1834	ENDDO
1835	ENDIF
1836
1837	#if defined( __parallel )
1838
1839	!
1840	!-- Compute total sum from local sums
1841	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1842	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1843	MPI_SUM, comm2d, ierr )
1844	IF ( large_scale_forcing ) THEN
1845	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
1846	MPI_REAL, MPI_SUM, comm2d, ierr )
1847	ENDIF
1848
1849	IF ( air_chemistry .AND. max_pr_cs > 0 ) THEN
1850	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1851	DO i = 1, max_pr_cs
1852	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+i,0), &
1853	sums(nzb,pr_palm+max_pr_user+i), &
1854	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1855	ENDDO
1856	ENDIF
1857
1858	#else
1859	sums = sums_l(:,:,0)
1860	IF ( large_scale_forcing ) THEN
1861	sums(:,81:88) = sums_ls_l
1862	ENDIF
1863	#endif
1864
1865	!
1866	!-- Final values are obtained by division by the total number of grid points
1867	!-- used for summation. After that store profiles.
1868	!-- Check, if statistical regions do contain at least one grid point at the
1869	!-- respective k-level, otherwise division by zero will lead to undefined
1870	!-- values, which may cause e.g. problems with NetCDF output
1871	!-- Profiles:
1872	DO k = nzb, nzt+1
1873	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1874	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1875	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1876	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1877	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1878	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1879	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1880	sums(k,89:112) = sums(k,89:112) / ngp_2dh(sr)
1881	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1882	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1883	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1884	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1885	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1886	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1887	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1888	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1889	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1890	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1891	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1892	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1893	sums(k,123) = sums(k,123) * ngp_2dh_s_inner(k,sr) / ngp_2dh(sr)
1894	ENDIF
1895	ENDDO
1896
1897	!-- u* and so on
1898	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1899	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1900	!-- above the topography, they are being divided by ngp_2dh(sr)
1901	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1902	ngp_2dh(sr)
1903	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1904	ngp_2dh(sr)
1905	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / & ! ss
1906	ngp_2dh(sr)
1907	sums(nzb+14,pr_palm) = sums(nzb+14,pr_palm) / & ! surface temperature
1908	ngp_2dh(sr)
1909	!-- eges, e*
1910	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1911	ngp_3d(sr)
1912	!-- Old and new divergence
1913	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1914	ngp_3d_inner(sr)
1915
1916	!-- User-defined profiles
1917	IF ( max_pr_user > 0 ) THEN
1918	DO k = nzb, nzt+1
1919	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1920	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1921	ngp_2dh_s_inner(k,sr)
1922	ENDDO
1923	ENDIF
1924
1925	IF ( air_chemistry ) THEN
1926	IF ( max_pr_cs > 0 ) THEN
1927	DO k = nzb, nzt+1
1928	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) = &
1929	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) / &
1930	ngp_2dh_s_inner(k,sr)
1931	ENDDO
1932	ENDIF
1933	ENDIF
1934
1935	!
1936	!-- Collect horizontal average in hom.
1937	!-- Compute deduced averages (e.g. total heat flux)
1938	hom(:,1,3,sr) = sums(:,3) ! w
1939	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1940	hom(:,1,9,sr) = sums(:,9) ! km
1941	hom(:,1,10,sr) = sums(:,10) ! kh
1942	hom(:,1,11,sr) = sums(:,11) ! l
1943	hom(:,1,12,sr) = sums(:,12) ! w"u"
1944	hom(:,1,13,sr) = sums(:,13) ! wu
1945	hom(:,1,14,sr) = sums(:,14) ! w"v"
1946	hom(:,1,15,sr) = sums(:,15) ! wv
1947	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1948	hom(:,1,17,sr) = sums(:,17) ! wpt
1949	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1950	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1951	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1952	hom(:,1,21,sr) = sums(:,21) ! wptBC
1953	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1954	! profile 24 is initial profile (sa)
1955	! profiles 25-29 left empty for initial
1956	! profiles
1957	hom(:,1,30,sr) = sums(:,30) ! u*2
1958	hom(:,1,31,sr) = sums(:,31) ! v*2
1959	hom(:,1,32,sr) = sums(:,32) ! w*2
1960	hom(:,1,33,sr) = sums(:,33) ! pt*2
1961	hom(:,1,34,sr) = sums(:,34) ! e*
1962	hom(:,1,35,sr) = sums(:,35) ! w2pt
1963	hom(:,1,36,sr) = sums(:,36) ! wpt2
1964	hom(:,1,37,sr) = sums(:,37) ! we
1965	hom(:,1,38,sr) = sums(:,38) ! w*3
1966	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1967	hom(:,1,40,sr) = sums(:,40) ! p
1968	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1969	hom(:,1,46,sr) = sums(:,46) ! wvpt
1970	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1971	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1972	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1973	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1974	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1975	hom(:,1,52,sr) = sums(:,52) ! wqv
1976	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1977	hom(:,1,54,sr) = sums(:,54) ! ql
1978	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1979	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1980	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
1981	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1982	hom(:,1,59,sr) = sums(:,59) ! upt
1983	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1984	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1985	hom(:,1,62,sr) = sums(:,62) ! vpt
1986	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1987	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
1988	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1989	hom(:,1,66,sr) = sums(:,66) ! wsa
1990	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1991	hom(:,1,68,sr) = sums(:,68) ! wp
1992	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
1993	hom(:,1,70,sr) = sums(:,70) ! q*2
1994	hom(:,1,71,sr) = sums(:,71) ! prho
1995	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
1996	hom(:,1,123,sr) = sums(:,123) ! nc
1997	hom(:,1,73,sr) = sums(:,73) ! nr
1998	hom(:,1,74,sr) = sums(:,74) ! qr
1999	hom(:,1,75,sr) = sums(:,75) ! qc
2000	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
2001	! 77 is initial density profile
2002	hom(:,1,78,sr) = ug ! ug
2003	hom(:,1,79,sr) = vg ! vg
2004	hom(:,1,80,sr) = w_subs ! w_subs
2005
2006	IF ( large_scale_forcing ) THEN
2007	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
2008	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
2009	IF ( use_subsidence_tendencies ) THEN
2010	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
2011	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
2012	ELSE
2013	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
2014	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
2015	ENDIF
2016	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
2017	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
2018	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
2019	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
2020	ENDIF
2021
2022	IF ( land_surface ) THEN
2023	hom(:,1,89,sr) = sums(:,89) ! t_soil
2024	! 90 is initial t_soil profile
2025	hom(:,1,91,sr) = sums(:,91) ! m_soil
2026	! 92 is initial m_soil profile
2027	hom(:,1,93,sr) = sums(:,93) ! ghf
2028	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
2029	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
2030	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
2031	hom(:,1,97,sr) = sums(:,97) ! r_a
2032	hom(:,1,98,sr) = sums(:,98) ! r_s
2033
2034	ENDIF
2035
2036	IF ( radiation ) THEN
2037	hom(:,1,99,sr) = sums(:,99) ! rad_net
2038	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
2039	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
2040	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
2041	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
2042
2043	IF ( radiation_scheme == 'rrtmg' ) THEN
2044	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
2045	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
2046	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
2047	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
2048
2049	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
2050	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
2051	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
2052	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
2053	ENDIF
2054	ENDIF
2055
2056	hom(:,1,112,sr) = sums(:,112) !: L
2057
2058	IF ( passive_scalar ) THEN
2059	hom(:,1,117,sr) = sums(:,117) ! w"s"
2060	hom(:,1,114,sr) = sums(:,114) ! ws
2061	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
2062	hom(:,1,116,sr) = sums(:,116) ! s*2
2063	ENDIF
2064
2065	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
2066	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
2067
2068	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
2069	! u, w'u', w'v', t (in last profile)
2070
2071	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
2072	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
2073	sums(:,pr_palm+1:pr_palm+max_pr_user)
2074	ENDIF
2075
2076	IF ( air_chemistry ) THEN
2077	IF ( max_pr_cs > 0 ) THEN ! chem_spcs profiles
2078	hom(:, 1, pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs, sr) = &
2079	sums(:, pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs)
2080	ENDIF
2081	ENDIF
2082	!
2083	!-- Determine the boundary layer height using two different schemes.
2084	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
2085	!-- first relative minimum (maximum) of the total heat flux.
2086	!-- The corresponding height is assumed as the boundary layer height, if it
2087	!-- is less than 1.5 times the height where the heat flux becomes negative
2088	!-- (positive) for the first time. Attention: the resolved vertical sensible
2089	!-- heat flux (hom(:,1,17,sr) = wpt) is not known at the beginning because
2090	!-- the calculation happens in advec_s_ws which is called after
2091	!-- flow_statistics. Therefore z_i is directly taken from restart data at
2092	!-- the beginning of restart runs.
2093	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .OR. &
2094	simulated_time_at_begin /= simulated_time ) THEN
2095
2096	z_i(1) = 0.0_wp
2097	first = .TRUE.
2098
2099	IF ( ocean_mode ) THEN
2100	DO k = nzt, nzb+1, -1
2101	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2102	first = .FALSE.
2103	height = zw(k)
2104	ENDIF
2105	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2106	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2107	IF ( zw(k) < 1.5_wp * height ) THEN
2108	z_i(1) = zw(k)
2109	ELSE
2110	z_i(1) = height
2111	ENDIF
2112	EXIT
2113	ENDIF
2114	ENDDO
2115	ELSE
2116	DO k = nzb, nzt-1
2117	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2118	first = .FALSE.
2119	height = zw(k)
2120	ENDIF
2121	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2122	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2123	IF ( zw(k) < 1.5_wp * height ) THEN
2124	z_i(1) = zw(k)
2125	ELSE
2126	z_i(1) = height
2127	ENDIF
2128	EXIT
2129	ENDIF
2130	ENDDO
2131	ENDIF
2132
2133	!
2134	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
2135	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
2136	!-- maximal local temperature gradient: starting from the second (the
2137	!-- last but one) vertical gridpoint, the local gradient must be at least
2138	!-- 0.2K/100m and greater than the next four gradients.
2139	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2140	!-- ocean case!
2141	z_i(2) = 0.0_wp
2142	DO k = nzb+1, nzt+1
2143	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2144	ENDDO
2145	dptdz_threshold = 0.2_wp / 100.0_wp
2146
2147	IF ( ocean_mode ) THEN
2148	DO k = nzt+1, nzb+5, -1
2149	IF ( dptdz(k) > dptdz_threshold .AND. &
2150	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND.&
2151	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2152	z_i(2) = zw(k-1)
2153	EXIT
2154	ENDIF
2155	ENDDO
2156	ELSE
2157	DO k = nzb+1, nzt-3
2158	IF ( dptdz(k) > dptdz_threshold .AND. &
2159	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND.&
2160	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2161	z_i(2) = zw(k-1)
2162	EXIT
2163	ENDIF
2164	ENDDO
2165	ENDIF
2166
2167	ENDIF
2168
2169	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2170	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2171
2172	!
2173	!-- Determine vertical index which is nearest to the mean surface level
2174	!-- height of the respective statistic region
2175	DO k = nzb, nzt
2176	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
2177	k_surface_level = k
2178	EXIT
2179	ENDIF
2180	ENDDO
2181
2182	!
2183	!-- Computation of both the characteristic vertical velocity and
2184	!-- the characteristic convective boundary layer temperature.
2185	!-- The inversion height entering into the equation is defined with respect
2186	!-- to the mean surface level height of the respective statistic region.
2187	!-- The horizontal average at surface level index + 1 is input for the
2188	!-- average temperature.
2189	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp )&
2190	THEN
2191	hom(nzb+8,1,pr_palm,sr) = &
2192	( g / hom(k_surface_level+1,1,4,sr) * &
2193	( hom(k_surface_level,1,18,sr) / &
2194	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
2195	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
2196	ELSE
2197	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
2198	ENDIF
2199
2200	!
2201	!-- Collect the time series quantities. Please note, timeseries quantities
2202	!-- which are collected from horizontally averaged profiles, e.g. wpt
2203	!-- or pt(zp), are treated specially. In case of elevated model surfaces,
2204	!-- index nzb+1 might be within topography and data will be zero. Therefore,
2205	!-- take value for the first atmosphere index, which is topo_min_level+1.
2206	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2207	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2208	ts_value(3,sr) = dt_3d
2209	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2210	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2211	ts_value(6,sr) = u_max
2212	ts_value(7,sr) = v_max
2213	ts_value(8,sr) = w_max
2214	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2215	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2216	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2217	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2218	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2219	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2220	ts_value(15,sr) = hom(topo_min_level+1,1,16,sr) ! w'pt' at k=1
2221	ts_value(16,sr) = hom(topo_min_level+1,1,18,sr) ! wpt at k=1
2222	ts_value(17,sr) = hom(nzb+14,1,pr_palm,sr) ! pt(0)
2223	ts_value(18,sr) = hom(topo_min_level+1,1,4,sr) ! pt(zp)
2224	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2225	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2226	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2227
2228	IF ( .NOT. neutral ) THEN
2229	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
2230	ELSE
2231	ts_value(22,sr) = 1.0E10_wp
2232	ENDIF
2233
2234	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2235
2236	IF ( passive_scalar ) THEN
2237	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
2238	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
2239	ENDIF
2240
2241	!
2242	!-- Collect land surface model timeseries
2243	IF ( land_surface ) THEN
2244	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2245	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2246	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2247	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2248	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2249	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2250	ENDIF
2251	!
2252	!-- Collect radiation model timeseries
2253	IF ( radiation ) THEN
2254	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2255	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2256	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2257	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2258	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2259
2260	IF ( radiation_scheme == 'rrtmg' ) THEN
2261	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2262	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2263	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2264	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2265	ENDIF
2266
2267	ENDIF
2268
2269	!
2270	!-- Calculate additional statistics provided by the gust module
2271	IF ( gust_module_enabled ) THEN
2272	CALL gust_statistics( 'time_series', sr, 0, dots_max )
2273	ENDIF
2274
2275	!
2276	!-- Calculate additional statistics provided by the user interface
2277	CALL user_statistics( 'time_series', sr, 0 )
2278
2279	ENDDO ! loop of the subregions
2280
2281	!
2282	!-- If required, sum up horizontal averages for subsequent time averaging.
2283	!-- Do not sum, if flow statistics is called before the first initial time step.
2284	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2285	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2286	hom_sum = hom_sum + hom(:,1,:,:)
2287	average_count_pr = average_count_pr + 1
2288	do_sum = .FALSE.
2289	ENDIF
2290
2291	!
2292	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2293	!-- This flag is reset after each time step in time_integration.
2294	flow_statistics_called = .TRUE.
2295
2296	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2297
2298
2299	END SUBROUTINE flow_statistics

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