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source: palm/trunk/SOURCE/flow_statistics.f90 @ 2219

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

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