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source: palm/trunk/SOURCE/flow_statistics.f90 @ 2118

Last change on this file since 2118 was 2118, checked in by raasch, 7 years ago
all OpenACC directives and related parts removed from the code
Property svn:keywords set to `Id`
File size: 77.2 KB

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

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