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source: palm/trunk/SOURCE/flow_statistics.f90 @ 2296

Last change on this file since 2296 was 2296, checked in by maronga, 7 years ago
added new spinup mechanism for surface/radiation models
Property svn:keywords set to `Id`
File size: 94.8 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	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: flow_statistics.f90 2296 2017-06-28 07:53:56Z maronga $
27	! Enabled output of radiation quantities for radiation_scheme = 'constant'
28	!
29	! 2292 2017-06-20 09:51:42Z schwenkel
30	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
31	! includes two more prognostic equations for cloud drop concentration (nc)
32	! and cloud water content (qc).
33	!
34	! 2270 2017-06-09 12:18:47Z maronga
35	! Revised numbering (removed 2 timeseries)
36	!
37	! 2252 2017-06-07 09:35:37Z knoop
38	! perturbation pressure now depending on flux_output_mode
39	!
40	! 2233 2017-05-30 18:08:54Z suehring
41	!
42	! 2232 2017-05-30 17:47:52Z suehring
43	! Adjustments to new topography and surface concept
44	!
45	! 2118 2017-01-17 16:38:49Z raasch
46	! OpenACC version of subroutine removed
47	!
48	! 2073 2016-11-30 14:34:05Z raasch
49	! openmp bugfix: large scale forcing calculations cannot be executed thread
50	! parallel
51	!
52	! 2037 2016-10-26 11:15:40Z knoop
53	! Anelastic approximation implemented
54	!
55	! 2031 2016-10-21 15:11:58Z knoop
56	! renamed variable rho to rho_ocean
57	!
58	! 2026 2016-10-18 10:27:02Z suehring
59	! Bugfix, enable output of s*2.
60	! Change, calculation of domain-averaged perturbation energy.
61	! Some formatting adjustments.
62	!
63	! 2000 2016-08-20 18:09:15Z knoop
64	! Forced header and separation lines into 80 columns
65	!
66	! 1976 2016-07-27 13:28:04Z maronga
67	! Removed some unneeded __rrtmg preprocessor directives
68	!
69	! 1960 2016-07-12 16:34:24Z suehring
70	! Separate humidity and passive scalar
71	!
72	! 1918 2016-05-27 14:35:57Z raasch
73	! in case of Wicker-Skamarock scheme, calculate disturbance kinetic energy here,
74	! if flow_statistics is called before the first initial time step
75	!
76	! 1853 2016-04-11 09:00:35Z maronga
77	! Adjusted for use with radiation_scheme = constant
78	!
79	! 1849 2016-04-08 11:33:18Z hoffmann
80	! prr moved to arrays_3d
81	!
82	! 1822 2016-04-07 07:49:42Z hoffmann
83	! Output of bulk microphysics simplified.
84	!
85	! 1815 2016-04-06 13:49:59Z raasch
86	! cpp-directives for intel openmp bug removed
87	!
88	! 1783 2016-03-06 18:36:17Z raasch
89	! +module netcdf_interface
90	!
91	! 1747 2016-02-08 12:25:53Z raasch
92	! small bugfixes for accelerator version
93	!
94	! 1738 2015-12-18 13:56:05Z raasch
95	! bugfixes for calculations in statistical regions which do not contain grid
96	! points in the lowest vertical levels, mean surface level height considered
97	! in the calculation of the characteristic vertical velocity,
98	! old upstream parts removed
99	!
100	! 1709 2015-11-04 14:47:01Z maronga
101	! Updated output of Obukhov length
102	!
103	! 1691 2015-10-26 16:17:44Z maronga
104	! Revised calculation of Obukhov length. Added output of radiative heating >
105	! rates for RRTMG.
106	!
107	! 1682 2015-10-07 23:56:08Z knoop
108	! Code annotations made doxygen readable
109	!
110	! 1658 2015-09-18 10:52:53Z raasch
111	! bugfix: temporary reduction variables in the openacc branch are now
112	! initialized to zero
113	!
114	! 1654 2015-09-17 09:20:17Z raasch
115	! FORTRAN bugfix of r1652
116	!
117	! 1652 2015-09-17 08:12:24Z raasch
118	! bugfix in calculation of energy production by turbulent transport of TKE
119	!
120	! 1593 2015-05-16 13:58:02Z raasch
121	! FORTRAN errors removed from openacc branch
122	!
123	! 1585 2015-04-30 07:05:52Z maronga
124	! Added output of timeseries and profiles for RRTMG
125	!
126	! 1571 2015-03-12 16:12:49Z maronga
127	! Bugfix: output of rad_net and rad_sw_in
128	!
129	! 1567 2015-03-10 17:57:55Z suehring
130	! Reverse modifications made for monotonic limiter.
131	!
132	! 1557 2015-03-05 16:43:04Z suehring
133	! Adjustments for monotonic limiter
134	!
135	! 1555 2015-03-04 17:44:27Z maronga
136	! Added output of r_a and r_s.
137	!
138	! 1551 2015-03-03 14:18:16Z maronga
139	! Added suppport for land surface model and radiation model output.
140	!
141	! 1498 2014-12-03 14:09:51Z suehring
142	! Comments added
143	!
144	! 1482 2014-10-18 12:34:45Z raasch
145	! missing ngp_sums_ls added in accelerator version
146	!
147	! 1450 2014-08-21 07:31:51Z heinze
148	! bugfix: calculate fac only for simulated_time >= 0.0
149	!
150	! 1396 2014-05-06 13:37:41Z raasch
151	! bugfix: "copyin" replaced by "update device" in openacc-branch
152	!
153	! 1386 2014-05-05 13:55:30Z boeske
154	! bugfix: simulated time before the last timestep is needed for the correct
155	! calculation of the profiles of large scale forcing tendencies
156	!
157	! 1382 2014-04-30 12:15:41Z boeske
158	! Renamed variables which store large scale forcing tendencies
159	! pt_lsa -> td_lsa_lpt, pt_subs -> td_sub_lpt,
160	! q_lsa -> td_lsa_q, q_subs -> td_sub_q,
161	! added Neumann boundary conditions for profile data output of large scale
162	! advection and subsidence terms at nzt+1
163	!
164	! 1374 2014-04-25 12:55:07Z raasch
165	! bugfix: syntax errors removed from openacc-branch
166	! missing variables added to ONLY-lists
167	!
168	! 1365 2014-04-22 15:03:56Z boeske
169	! Output of large scale advection, large scale subsidence and nudging tendencies
170	! +sums_ls_l, ngp_sums_ls, use_subsidence_tendencies
171	!
172	! 1353 2014-04-08 15:21:23Z heinze
173	! REAL constants provided with KIND-attribute
174	!
175	! 1322 2014-03-20 16:38:49Z raasch
176	! REAL constants defined as wp-kind
177	!
178	! 1320 2014-03-20 08:40:49Z raasch
179	! ONLY-attribute added to USE-statements,
180	! kind-parameters added to all INTEGER and REAL declaration statements,
181	! kinds are defined in new module kinds,
182	! revision history before 2012 removed,
183	! comment fields (!:) to be used for variable explanations added to
184	! all variable declaration statements
185	!
186	! 1299 2014-03-06 13:15:21Z heinze
187	! Output of large scale vertical velocity w_subs
188	!
189	! 1257 2013-11-08 15:18:40Z raasch
190	! openacc "end parallel" replaced by "end parallel loop"
191	!
192	! 1241 2013-10-30 11:36:58Z heinze
193	! Output of ug and vg
194	!
195	! 1221 2013-09-10 08:59:13Z raasch
196	! ported for openACC in separate #else branch
197	!
198	! 1179 2013-06-14 05:57:58Z raasch
199	! comment for profile 77 added
200	!
201	! 1115 2013-03-26 18:16:16Z hoffmann
202	! ql is calculated by calc_liquid_water_content
203	!
204	! 1111 2013-03-08 23:54:10Z raasch
205	! openACC directive added
206	!
207	! 1053 2012-11-13 17:11:03Z hoffmann
208	! additions for two-moment cloud physics scheme:
209	! +nr, qr, qc, prr
210	!
211	! 1036 2012-10-22 13:43:42Z raasch
212	! code put under GPL (PALM 3.9)
213	!
214	! 1007 2012-09-19 14:30:36Z franke
215	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
216	! turbulent fluxes of WS-scheme
217	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
218	! droplets at nzb and nzt added
219	!
220	! 801 2012-01-10 17:30:36Z suehring
221	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
222	!
223	! Revision 1.1 1997/08/11 06:15:17 raasch
224	! Initial revision
225	!
226	!
227	! Description:
228	! ------------
229	!> Compute average profiles and further average flow quantities for the different
230	!> user-defined (sub-)regions. The region indexed 0 is the total model domain.
231	!>
232	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
233	!> lower vertical index for k-loops for all variables, although strictly
234	!> speaking the k-loops would have to be split up according to the staggered
235	!> grid. However, this implies no error since staggered velocity components
236	!> are zero at the walls and inside buildings.
237	!------------------------------------------------------------------------------!
238	SUBROUTINE flow_statistics
239
240
241	USE arrays_3d, &
242	ONLY: ddzu, ddzw, e, heatflux_output_conversion, hyp, km, kh, &
243	momentumflux_output_conversion, nc, nr, p, prho, prr, pt, q, &
244	qc, ql, qr, rho_air, rho_air_zw, rho_ocean, s, &
245	sa, td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert, u, &
246	ug, v, vg, vpt, w, w_subs, waterflux_output_conversion, zw
247
248	USE cloud_parameters, &
249	ONLY: l_d_cp, pt_d_t
250
251	USE control_parameters, &
252	ONLY: average_count_pr, cloud_droplets, cloud_physics, do_sum, &
253	dt_3d, g, humidity, kappa, land_surface, large_scale_forcing, &
254	large_scale_subsidence, max_pr_user, message_string, neutral, &
255	microphysics_morrison, microphysics_seifert, ocean, &
256	passive_scalar, simulated_time, use_subsidence_tendencies, &
257	use_surface_fluxes, use_top_fluxes, ws_scheme_mom, &
258	ws_scheme_sca
259
260	USE cpulog, &
261	ONLY: cpu_log, log_point
262
263	USE grid_variables, &
264	ONLY: ddx, ddy
265
266	USE indices, &
267	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
268	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzt, wall_flags_0
269
270	USE kinds
271
272	USE land_surface_model_mod, &
273	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
274
275	USE netcdf_interface, &
276	ONLY: dots_rad, dots_soil
277
278	USE pegrid
279
280	USE radiation_model_mod, &
281	ONLY: radiation, radiation_scheme, rad_net, &
282	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
283	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
284
285	#if defined ( __rrtmg )
286	USE radiation_model_mod, &
287	ONLY: rrtm_aldif, rrtm_aldir, rrtm_asdif, rrtm_asdir
288	#endif
289
290	USE statistics
291
292	USE surface_mod, &
293	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
294
295
296	IMPLICIT NONE
297
298	INTEGER(iwp) :: i !<
299	INTEGER(iwp) :: j !<
300	INTEGER(iwp) :: k !<
301	INTEGER(iwp) :: ki !<
302	INTEGER(iwp) :: k_surface_level !<
303	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
304	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
305	INTEGER(iwp) :: nt !<
306	INTEGER(iwp) :: omp_get_thread_num !<
307	INTEGER(iwp) :: sr !<
308	INTEGER(iwp) :: tn !<
309
310	LOGICAL :: first !<
311
312	REAL(wp) :: dptdz_threshold !<
313	REAL(wp) :: fac !<
314	REAL(wp) :: flag !<
315	REAL(wp) :: height !<
316	REAL(wp) :: pts !<
317	REAL(wp) :: sums_l_eper !<
318	REAL(wp) :: sums_l_etot !<
319	REAL(wp) :: ust !<
320	REAL(wp) :: ust2 !<
321	REAL(wp) :: u2 !<
322	REAL(wp) :: vst !<
323	REAL(wp) :: vst2 !<
324	REAL(wp) :: v2 !<
325	REAL(wp) :: w2 !<
326	REAL(wp) :: z_i(2) !<
327
328	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
329	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
330
331	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
332
333
334	!
335	!-- To be on the safe side, check whether flow_statistics has already been
336	!-- called once after the current time step
337	IF ( flow_statistics_called ) THEN
338
339	message_string = 'flow_statistics is called two times within one ' // &
340	'timestep'
341	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
342
343	ENDIF
344
345	!
346	!-- Compute statistics for each (sub-)region
347	DO sr = 0, statistic_regions
348
349	!
350	!-- Initialize (local) summation array
351	sums_l = 0.0_wp
352
353	!
354	!-- Store sums that have been computed in other subroutines in summation
355	!-- array
356	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
357	!-- WARNING: next line still has to be adjusted for OpenMP
358	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
359	heatflux_output_conversion ! heat flux from advec_s_bc
360	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
361	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
362
363	!
364	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
365	!-- scale) vertical fluxes and velocity variances by using commonly-
366	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
367	!-- in combination with the 5th order advection scheme, pronounced
368	!-- artificial kinks could be observed in the vertical profiles near the
369	!-- surface. Please note: these kinks were not related to the model truth,
370	!-- i.e. these kinks are just related to an evaluation problem.
371	!-- In order avoid these kinks, vertical fluxes and horizontal as well
372	!-- vertical velocity variances are calculated directly within the advection
373	!-- routines, according to the numerical discretization, to evaluate the
374	!-- statistical quantities as they will appear within the prognostic
375	!-- equations.
376	!-- Copy the turbulent quantities, evaluated in the advection routines to
377	!-- the local array sums_l() for further computations.
378	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
379
380	!
381	!-- According to the Neumann bc for the horizontal velocity components,
382	!-- the corresponding fluxes has to satisfiy the same bc.
383	IF ( ocean ) THEN
384	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
385	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
386	ENDIF
387
388	DO i = 0, threads_per_task-1
389	!
390	!-- Swap the turbulent quantities evaluated in advec_ws.
391	sums_l(:,13,i) = sums_wsus_ws_l(:,i) &
392	* momentumflux_output_conversion ! wu
393	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) &
394	* momentumflux_output_conversion ! wv
395	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
396	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
397	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
398	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
399	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
400	sums_ws2_ws_l(:,i) ) ! e*
401	ENDDO
402
403	ENDIF
404
405	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
406
407	DO i = 0, threads_per_task-1
408	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
409	* heatflux_output_conversion ! wpt
410	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
411	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
412	* waterflux_output_conversion ! wq
413	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
414	ENDDO
415
416	ENDIF
417	!
418	!-- Horizontally averaged profiles of horizontal velocities and temperature.
419	!-- They must have been computed before, because they are already required
420	!-- for other horizontal averages.
421	tn = 0
422	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
423	!$ tn = omp_get_thread_num()
424	!$OMP DO
425	DO i = nxl, nxr
426	DO j = nys, nyn
427	DO k = nzb, nzt+1
428	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
429	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) &
430	* flag
431	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) &
432	* flag
433	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) &
434	* flag
435	ENDDO
436	ENDDO
437	ENDDO
438
439	!
440	!-- Horizontally averaged profile of salinity
441	IF ( ocean ) THEN
442	!$OMP DO
443	DO i = nxl, nxr
444	DO j = nys, nyn
445	DO k = nzb, nzt+1
446	sums_l(k,23,tn) = sums_l(k,23,tn) + sa(k,j,i) &
447	* rmask(j,i,sr) &
448	* MERGE( 1.0_wp, 0.0_wp, &
449	BTEST( wall_flags_0(k,j,i), 22 ) )
450	ENDDO
451	ENDDO
452	ENDDO
453	ENDIF
454
455	!
456	!-- Horizontally averaged profiles of virtual potential temperature,
457	!-- total water content, specific humidity and liquid water potential
458	!-- temperature
459	IF ( humidity ) THEN
460	!$OMP DO
461	DO i = nxl, nxr
462	DO j = nys, nyn
463	DO k = nzb, nzt+1
464	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
465	sums_l(k,44,tn) = sums_l(k,44,tn) + &
466	vpt(k,j,i) * rmask(j,i,sr) * flag
467	sums_l(k,41,tn) = sums_l(k,41,tn) + &
468	q(k,j,i) * rmask(j,i,sr) * flag
469	ENDDO
470	ENDDO
471	ENDDO
472	IF ( cloud_physics ) THEN
473	!$OMP DO
474	DO i = nxl, nxr
475	DO j = nys, nyn
476	DO k = nzb, nzt+1
477	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
478	sums_l(k,42,tn) = sums_l(k,42,tn) + &
479	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) &
480	* flag
481	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
482	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
483	) * rmask(j,i,sr) &
484	* flag
485	ENDDO
486	ENDDO
487	ENDDO
488	ENDIF
489	ENDIF
490
491	!
492	!-- Horizontally averaged profiles of passive scalar
493	IF ( passive_scalar ) THEN
494	!$OMP DO
495	DO i = nxl, nxr
496	DO j = nys, nyn
497	DO k = nzb, nzt+1
498	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
499	* rmask(j,i,sr) &
500	* MERGE( 1.0_wp, 0.0_wp, &
501	BTEST( wall_flags_0(k,j,i), 22 ) )
502	ENDDO
503	ENDDO
504	ENDDO
505	ENDIF
506	!$OMP END PARALLEL
507	!
508	!-- Summation of thread sums
509	IF ( threads_per_task > 1 ) THEN
510	DO i = 1, threads_per_task-1
511	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
512	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
513	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
514	IF ( ocean ) THEN
515	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
516	ENDIF
517	IF ( humidity ) THEN
518	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
519	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
520	IF ( cloud_physics ) THEN
521	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
522	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
523	ENDIF
524	ENDIF
525	IF ( passive_scalar ) THEN
526	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
527	ENDIF
528	ENDDO
529	ENDIF
530
531	#if defined( __parallel )
532	!
533	!-- Compute total sum from local sums
534	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
535	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
536	MPI_SUM, comm2d, ierr )
537	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
538	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
539	MPI_SUM, comm2d, ierr )
540	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
541	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
542	MPI_SUM, comm2d, ierr )
543	IF ( ocean ) THEN
544	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
545	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
546	MPI_REAL, MPI_SUM, comm2d, ierr )
547	ENDIF
548	IF ( humidity ) THEN
549	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
550	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
551	MPI_REAL, MPI_SUM, comm2d, ierr )
552	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
553	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
554	MPI_REAL, MPI_SUM, comm2d, ierr )
555	IF ( cloud_physics ) THEN
556	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
557	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
558	MPI_REAL, MPI_SUM, comm2d, ierr )
559	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
560	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
561	MPI_REAL, MPI_SUM, comm2d, ierr )
562	ENDIF
563	ENDIF
564
565	IF ( passive_scalar ) THEN
566	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
567	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, &
568	MPI_REAL, MPI_SUM, comm2d, ierr )
569	ENDIF
570	#else
571	sums(:,1) = sums_l(:,1,0)
572	sums(:,2) = sums_l(:,2,0)
573	sums(:,4) = sums_l(:,4,0)
574	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
575	IF ( humidity ) THEN
576	sums(:,44) = sums_l(:,44,0)
577	sums(:,41) = sums_l(:,41,0)
578	IF ( cloud_physics ) THEN
579	sums(:,42) = sums_l(:,42,0)
580	sums(:,43) = sums_l(:,43,0)
581	ENDIF
582	ENDIF
583	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
584	#endif
585
586	!
587	!-- Final values are obtained by division by the total number of grid points
588	!-- used for summation. After that store profiles.
589	sums(:,1) = sums(:,1) / ngp_2dh(sr)
590	sums(:,2) = sums(:,2) / ngp_2dh(sr)
591	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
592	hom(:,1,1,sr) = sums(:,1) ! u
593	hom(:,1,2,sr) = sums(:,2) ! v
594	hom(:,1,4,sr) = sums(:,4) ! pt
595
596
597	!
598	!-- Salinity
599	IF ( ocean ) THEN
600	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
601	hom(:,1,23,sr) = sums(:,23) ! sa
602	ENDIF
603
604	!
605	!-- Humidity and cloud parameters
606	IF ( humidity ) THEN
607	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
608	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
609	hom(:,1,44,sr) = sums(:,44) ! vpt
610	hom(:,1,41,sr) = sums(:,41) ! qv (q)
611	IF ( cloud_physics ) THEN
612	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
613	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
614	hom(:,1,42,sr) = sums(:,42) ! qv
615	hom(:,1,43,sr) = sums(:,43) ! pt
616	ENDIF
617	ENDIF
618
619	!
620	!-- Passive scalar
621	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / &
622	ngp_2dh_s_inner(:,sr) ! s
623
624	!
625	!-- Horizontally averaged profiles of the remaining prognostic variables,
626	!-- variances, the total and the perturbation energy (single values in last
627	!-- column of sums_l) and some diagnostic quantities.
628	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
629	!-- ---- speaking the following k-loop would have to be split up and
630	!-- rearranged according to the staggered grid.
631	!-- However, this implies no error since staggered velocity components
632	!-- are zero at the walls and inside buildings.
633	tn = 0
634	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, &
635	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
636	!$OMP w2, flag, m, ki, l )
637	!$ tn = omp_get_thread_num()
638	!$OMP DO
639	DO i = nxl, nxr
640	DO j = nys, nyn
641	sums_l_etot = 0.0_wp
642	DO k = nzb, nzt+1
643	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
644	!
645	!-- Prognostic and diagnostic variables
646	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) &
647	* flag
648	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) &
649	* flag
650	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) &
651	* flag
652	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) &
653	* flag
654	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
655	/ momentumflux_output_conversion(k) ) &
656	* flag
657
658	sums_l(k,33,tn) = sums_l(k,33,tn) + &
659	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)&
660	* flag
661
662	IF ( humidity ) THEN
663	sums_l(k,70,tn) = sums_l(k,70,tn) + &
664	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)&
665	* flag
666	ENDIF
667	IF ( passive_scalar ) THEN
668	sums_l(k,116,tn) = sums_l(k,116,tn) + &
669	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr)&
670	* flag
671	ENDIF
672	!
673	!-- Higher moments
674	!-- (Computation of the skewness of w further below)
675	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) &
676	* flag
677
678	sums_l_etot = sums_l_etot + &
679	0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + &
680	w(k,j,i)*2 ) rmask(j,i,sr)&
681	* flag
682	ENDDO
683	!
684	!-- Total and perturbation energy for the total domain (being
685	!-- collected in the last column of sums_l). Summation of these
686	!-- quantities is seperated from the previous loop in order to
687	!-- allow vectorization of that loop.
688	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
689	!
690	!-- 2D-arrays (being collected in the last column of sums_l)
691	IF ( surf_def_h(0)%ns >= 1 ) THEN
692	m = surf_def_h(0)%start_index(j,i)
693	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
694	surf_def_h(0)%us(m) * rmask(j,i,sr)
695	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
696	surf_def_h(0)%usws(m) * rmask(j,i,sr)
697	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
698	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
699	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
700	surf_def_h(0)%ts(m) * rmask(j,i,sr)
701	IF ( humidity ) THEN
702	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
703	surf_def_h(0)%qs(m) * rmask(j,i,sr)
704	ENDIF
705	IF ( passive_scalar ) THEN
706	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
707	surf_def_h(0)%ss(m) * rmask(j,i,sr)
708	ENDIF
709	ENDIF
710	IF ( surf_lsm_h%ns >= 1 ) THEN
711	m = surf_lsm_h%start_index(j,i)
712	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
713	surf_lsm_h%us(m) * rmask(j,i,sr)
714	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
715	surf_lsm_h%usws(m) * rmask(j,i,sr)
716	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
717	surf_lsm_h%vsws(m) * rmask(j,i,sr)
718	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
719	surf_lsm_h%ts(m) * rmask(j,i,sr)
720	IF ( humidity ) THEN
721	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
722	surf_lsm_h%qs(m) * rmask(j,i,sr)
723	ENDIF
724	IF ( passive_scalar ) THEN
725	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
726	surf_lsm_h%ss(m) * rmask(j,i,sr)
727	ENDIF
728	ENDIF
729	IF ( surf_usm_h%ns >= 1 ) THEN
730	m = surf_lsm_h%start_index(j,i)
731	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
732	surf_usm_h%us(m) * rmask(j,i,sr)
733	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
734	surf_usm_h%usws(m) * rmask(j,i,sr)
735	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
736	surf_usm_h%vsws(m) * rmask(j,i,sr)
737	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
738	surf_usm_h%ts(m) * rmask(j,i,sr)
739	IF ( humidity ) THEN
740	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
741	surf_usm_h%qs(m) * rmask(j,i,sr)
742	ENDIF
743	IF ( passive_scalar ) THEN
744	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
745	surf_usm_h%ss(m) * rmask(j,i,sr)
746	ENDIF
747	ENDIF
748	ENDDO
749	ENDDO
750
751	!
752	!-- Computation of statistics when ws-scheme is not used. Else these
753	!-- quantities are evaluated in the advection routines.
754	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) &
755	THEN
756	!$OMP DO
757	DO i = nxl, nxr
758	DO j = nys, nyn
759	DO k = nzb, nzt+1
760	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
761
762	u2 = u(k,j,i)**2
763	v2 = v(k,j,i)**2
764	w2 = w(k,j,i)**2
765	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
766	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
767
768	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) &
769	* flag
770	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) &
771	* flag
772	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) &
773	* flag
774	!
775	!-- Perturbation energy
776
777	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5_wp * &
778	( ust2 + vst2 + w2 ) * rmask(j,i,sr) &
779	* flag
780	ENDDO
781	ENDDO
782	ENDDO
783	ENDIF
784	!
785	!-- Computaion of domain-averaged perturbation energy. Please note,
786	!-- to prevent that perturbation energy is larger (even if only slightly)
787	!-- than the total kinetic energy, calculation is based on deviations from
788	!-- the horizontal mean, instead of spatial descretization of the advection
789	!-- term.
790	!$OMP DO
791	DO i = nxl, nxr
792	DO j = nys, nyn
793	DO k = nzb, nzt+1
794	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
795
796	w2 = w(k,j,i)**2
797	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
798	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
799	w2 = w(k,j,i)**2
800
801	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
802	+ 0.5_wp * ( ust2 + vst2 + w2 ) &
803	* rmask(j,i,sr) &
804	* flag
805	ENDDO
806	ENDDO
807	ENDDO
808
809	!
810	!-- Horizontally averaged profiles of the vertical fluxes
811
812	!$OMP DO
813	DO i = nxl, nxr
814	DO j = nys, nyn
815	!
816	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
817	!-- oterwise from k=nzb+1)
818	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
819	!-- ---- strictly speaking the following k-loop would have to be
820	!-- split up according to the staggered grid.
821	!-- However, this implies no error since staggered velocity
822	!-- components are zero at the walls and inside buildings.
823	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes,
824	!-- which are added further below.
825	DO k = nzb, nzt
826	flag = MERGE( 1.0_wp, 0.0_wp, &
827	BTEST( wall_flags_0(k,j,i), 23 ) ) * &
828	MERGE( 1.0_wp, 0.0_wp, &
829	BTEST( wall_flags_0(k,j,i), 9 ) )
830	!
831	!-- Momentum flux w"u"
832	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
833	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
834	) * ( &
835	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
836	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
837	) * rmask(j,i,sr) &
838	* rho_air_zw(k) &
839	* momentumflux_output_conversion(k) &
840	* flag
841	!
842	!-- Momentum flux w"v"
843	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
844	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
845	) * ( &
846	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
847	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
848	) * rmask(j,i,sr) &
849	* rho_air_zw(k) &
850	* momentumflux_output_conversion(k) &
851	* flag
852	!
853	!-- Heat flux w"pt"
854	sums_l(k,16,tn) = sums_l(k,16,tn) &
855	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
856	* ( pt(k+1,j,i) - pt(k,j,i) ) &
857	* rho_air_zw(k) &
858	* heatflux_output_conversion(k) &
859	* ddzu(k+1) * rmask(j,i,sr) &
860	* flag
861
862
863	!
864	!-- Salinity flux w"sa"
865	IF ( ocean ) THEN
866	sums_l(k,65,tn) = sums_l(k,65,tn) &
867	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
868	* ( sa(k+1,j,i) - sa(k,j,i) ) &
869	* ddzu(k+1) * rmask(j,i,sr) &
870	* flag
871	ENDIF
872
873	!
874	!-- Buoyancy flux, water flux (humidity flux) w"q"
875	IF ( humidity ) THEN
876	sums_l(k,45,tn) = sums_l(k,45,tn) &
877	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
878	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
879	* rho_air_zw(k) &
880	* heatflux_output_conversion(k) &
881	* ddzu(k+1) * rmask(j,i,sr) * flag
882	sums_l(k,48,tn) = sums_l(k,48,tn) &
883	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
884	* ( q(k+1,j,i) - q(k,j,i) ) &
885	* rho_air_zw(k) &
886	* waterflux_output_conversion(k)&
887	* ddzu(k+1) * rmask(j,i,sr) * flag
888
889	IF ( cloud_physics ) THEN
890	sums_l(k,51,tn) = sums_l(k,51,tn) &
891	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
892	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
893	- ( q(k,j,i) - ql(k,j,i) ) ) &
894	* rho_air_zw(k) &
895	* waterflux_output_conversion(k)&
896	* ddzu(k+1) * rmask(j,i,sr) * flag
897	ENDIF
898	ENDIF
899
900	!
901	!-- Passive scalar flux
902	IF ( passive_scalar ) THEN
903	sums_l(k,117,tn) = sums_l(k,117,tn) &
904	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
905	* ( s(k+1,j,i) - s(k,j,i) ) &
906	* ddzu(k+1) * rmask(j,i,sr) &
907	* flag
908	ENDIF
909
910	ENDDO
911
912	!
913	!-- Subgridscale fluxes in the Prandtl layer
914	IF ( use_surface_fluxes ) THEN
915	DO l = 0, 1
916	ki = MERGE( -1, 0, l == 0 )
917	IF ( surf_def_h(l)%ns >= 1 ) THEN
918	DO m = surf_def_h(l)%start_index(j,i), surf_def_h(l)%end_index(j,i)
919	k = surf_def_h(l)%k(m)
920
921	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
922	momentumflux_output_conversion(k+ki) * &
923	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
924	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
925	momentumflux_output_conversion(k+ki) * &
926	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
927	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
928	heatflux_output_conversion(k+ki) * &
929	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
930	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
931	0.0_wp * rmask(j,i,sr) ! u"pt"
932	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
933	0.0_wp * rmask(j,i,sr) ! v"pt"
934	IF ( ocean ) THEN
935	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
936	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
937	ENDIF
938	IF ( humidity ) THEN
939	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
940	waterflux_output_conversion(k+ki) * &
941	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
942	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
943	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
944	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
945	surf_def_h(l)%qsws(m) ) &
946	* heatflux_output_conversion(k+ki)
947	IF ( cloud_droplets ) THEN
948	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
949	( 1.0_wp + 0.61_wp * q(k+ki,j,i) - &
950	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
951	0.61_wp * pt(k+ki,j,i) * surf_def_h(l)%qsws(m) ) &
952	* heatflux_output_conversion(k+ki)
953	ENDIF
954	IF ( cloud_physics ) THEN
955	!
956	!-- Formula does not work if ql(k+ki) /= 0.0
957	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
958	waterflux_output_conversion(k+ki) * &
959	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
960	ENDIF
961	ENDIF
962	IF ( passive_scalar ) THEN
963	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
964	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
965	ENDIF
966
967	ENDDO
968
969	ENDIF
970	ENDDO
971	IF ( surf_lsm_h%ns >= 1 ) THEN
972	m = surf_lsm_h%start_index(j,i)
973	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
974	momentumflux_output_conversion(nzb) * &
975	surf_lsm_h%usws(m) * rmask(j,i,sr) ! w"u"
976	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
977	momentumflux_output_conversion(nzb) * &
978	surf_lsm_h%vsws(m) * rmask(j,i,sr) ! w"v"
979	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
980	heatflux_output_conversion(nzb) * &
981	surf_lsm_h%shf(m) * rmask(j,i,sr) ! w"pt"
982	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
983	0.0_wp * rmask(j,i,sr) ! u"pt"
984	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
985	0.0_wp * rmask(j,i,sr) ! v"pt"
986	IF ( ocean ) THEN
987	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
988	surf_lsm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
989	ENDIF
990	IF ( humidity ) THEN
991	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
992	waterflux_output_conversion(nzb) * &
993	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
994	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
995	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
996	surf_lsm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
997	surf_lsm_h%qsws(m) ) &
998	* heatflux_output_conversion(nzb)
999	IF ( cloud_droplets ) THEN
1000	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1001	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1002	ql(nzb,j,i) ) * surf_lsm_h%shf(m) + &
1003	0.61_wp * pt(nzb,j,i) * surf_lsm_h%qsws(m) ) &
1004	* heatflux_output_conversion(nzb)
1005	ENDIF
1006	IF ( cloud_physics ) THEN
1007	!
1008	!-- Formula does not work if ql(nzb) /= 0.0
1009	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1010	waterflux_output_conversion(nzb) * &
1011	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1012	ENDIF
1013	ENDIF
1014	IF ( passive_scalar ) THEN
1015	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1016	surf_lsm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1017	ENDIF
1018
1019
1020	ENDIF
1021	IF ( surf_usm_h%ns >= 1 ) THEN
1022	m = surf_usm_h%start_index(j,i)
1023	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
1024	momentumflux_output_conversion(nzb) * &
1025	surf_usm_h%usws(m) * rmask(j,i,sr) ! w"u"
1026	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
1027	momentumflux_output_conversion(nzb) * &
1028	surf_usm_h%vsws(m) * rmask(j,i,sr) ! w"v"
1029	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
1030	heatflux_output_conversion(nzb) * &
1031	surf_usm_h%shf(m) * rmask(j,i,sr) ! w"pt"
1032	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
1033	0.0_wp * rmask(j,i,sr) ! u"pt"
1034	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
1035	0.0_wp * rmask(j,i,sr) ! v"pt"
1036	IF ( ocean ) THEN
1037	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
1038	surf_usm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
1039	ENDIF
1040	IF ( humidity ) THEN
1041	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
1042	waterflux_output_conversion(nzb) * &
1043	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1044	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1045	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
1046	surf_usm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
1047	surf_usm_h%qsws(m) ) &
1048	* heatflux_output_conversion(nzb)
1049	IF ( cloud_droplets ) THEN
1050	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
1051	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
1052	ql(nzb,j,i) ) * surf_usm_h%shf(m) + &
1053	0.61_wp * pt(nzb,j,i) * surf_usm_h%qsws(m) ) &
1054	* heatflux_output_conversion(nzb)
1055	ENDIF
1056	IF ( cloud_physics ) THEN
1057	!
1058	!-- Formula does not work if ql(nzb) /= 0.0
1059	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
1060	waterflux_output_conversion(nzb) * &
1061	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1062	ENDIF
1063	ENDIF
1064	IF ( passive_scalar ) THEN
1065	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1066	surf_usm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1067	ENDIF
1068
1069
1070	ENDIF
1071
1072	ENDIF
1073
1074	IF ( .NOT. neutral ) THEN
1075	IF ( surf_def_h(0)%ns >= 1 ) THEN
1076	m = surf_def_h(0)%start_index(j,i)
1077	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1078	surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1079	ENDIF
1080	IF ( surf_lsm_h%ns >= 1 ) THEN
1081	m = surf_lsm_h%start_index(j,i)
1082	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1083	surf_lsm_h%ol(m) * rmask(j,i,sr) ! L
1084	ENDIF
1085	IF ( surf_usm_h%ns >= 1 ) THEN
1086	m = surf_usm_h%start_index(j,i)
1087	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1088	surf_usm_h%ol(m) * rmask(j,i,sr) ! L
1089	ENDIF
1090	ENDIF
1091
1092	IF ( radiation ) THEN
1093	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + rad_net(j,i)
1094	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + rad_lw_in(nzb,j,i)
1095	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + rad_lw_out(nzb,j,i)
1096	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + rad_sw_in(nzb,j,i)
1097	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + rad_sw_out(nzb,j,i)
1098
1099	#if defined ( __rrtmg )
1100	IF ( radiation_scheme == 'rrtmg' ) THEN
1101	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + rrtm_aldif(0,j,i)
1102	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + rrtm_aldir(0,j,i)
1103	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + rrtm_asdif(0,j,i)
1104	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + rrtm_asdir(0,j,i)
1105	ENDIF
1106	#endif
1107	ENDIF
1108	!
1109	!-- Subgridscale fluxes at the top surface
1110	IF ( use_top_fluxes ) THEN
1111	m = surf_def_h(2)%start_index(j,i)
1112	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
1113	momentumflux_output_conversion(nzt:nzt+1) * &
1114	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1115	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
1116	momentumflux_output_conversion(nzt:nzt+1) * &
1117	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1118	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
1119	heatflux_output_conversion(nzt:nzt+1) * &
1120	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1121	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1122	0.0_wp * rmask(j,i,sr) ! u"pt"
1123	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1124	0.0_wp * rmask(j,i,sr) ! v"pt"
1125
1126	IF ( ocean ) THEN
1127	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1128	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1129	ENDIF
1130	IF ( humidity ) THEN
1131	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1132	waterflux_output_conversion(nzt) * &
1133	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1134	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1135	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
1136	surf_def_h(2)%shf(m) + &
1137	0.61_wp * pt(nzt,j,i) * &
1138	surf_def_h(2)%qsws(m) ) &
1139	* heatflux_output_conversion(nzt)
1140	IF ( cloud_droplets ) THEN
1141	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1142	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1143	ql(nzt,j,i) ) * &
1144	surf_def_h(2)%shf(m) + &
1145	0.61_wp * pt(nzt,j,i) * &
1146	surf_def_h(2)%qsws(m) )&
1147	* heatflux_output_conversion(nzt)
1148	ENDIF
1149	IF ( cloud_physics ) THEN
1150	!
1151	!-- Formula does not work if ql(nzb) /= 0.0
1152	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1153	waterflux_output_conversion(nzt) * &
1154	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1155	ENDIF
1156	ENDIF
1157	IF ( passive_scalar ) THEN
1158	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1159	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1160	ENDIF
1161	ENDIF
1162
1163	!
1164	!-- Resolved fluxes (can be computed for all horizontal points)
1165	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
1166	!-- ---- speaking the following k-loop would have to be split up and
1167	!-- rearranged according to the staggered grid.
1168	DO k = nzb, nzt
1169	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
1170	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1171	u(k+1,j,i) - hom(k+1,1,1,sr) )
1172	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1173	v(k+1,j,i) - hom(k+1,1,2,sr) )
1174	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1175	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1176
1177	!-- Higher moments
1178	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
1179	rmask(j,i,sr) * flag
1180	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
1181	rmask(j,i,sr) * flag
1182
1183	!
1184	!-- Salinity flux and density (density does not belong to here,
1185	!-- but so far there is no other suitable place to calculate)
1186	IF ( ocean ) THEN
1187	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1188	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1189	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1190	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1191	rmask(j,i,sr) * flag
1192	ENDIF
1193	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * &
1194	rmask(j,i,sr) * flag
1195	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
1196	rmask(j,i,sr) * flag
1197	ENDIF
1198
1199	!
1200	!-- Buoyancy flux, water flux, humidity flux, liquid water
1201	!-- content, rain drop concentration and rain water content
1202	IF ( humidity ) THEN
1203	IF ( cloud_physics .OR. cloud_droplets ) THEN
1204	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1205	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1206	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1207	heatflux_output_conversion(k) * &
1208	rmask(j,i,sr) * flag
1209	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) &
1210	* flag
1211
1212	IF ( .NOT. cloud_droplets ) THEN
1213	pts = 0.5_wp * &
1214	( ( q(k,j,i) - ql(k,j,i) ) - &
1215	hom(k,1,42,sr) + &
1216	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1217	hom(k+1,1,42,sr) )
1218	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1219	waterflux_output_conversion(k) * &
1220	rmask(j,i,sr) * &
1221	flag
1222	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
1223	rmask(j,i,sr) * &
1224	flag
1225	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * &
1226	rmask(j,i,sr) * &
1227	flag
1228	IF ( microphysics_morrison ) THEN
1229	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * &
1230	rmask(j,i,sr) *&
1231	flag
1232	ENDIF
1233	IF ( microphysics_seifert ) THEN
1234	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
1235	rmask(j,i,sr) *&
1236	flag
1237	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
1238	rmask(j,i,sr) *&
1239	flag
1240	ENDIF
1241	ENDIF
1242
1243	ELSE
1244	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1245	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1246	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1247	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1248	heatflux_output_conversion(k) * &
1249	rmask(j,i,sr) * &
1250	flag
1251	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1252	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1253	hom(k,1,41,sr) ) * &
1254	sums_l(k,17,tn) + &
1255	0.61_wp * hom(k,1,4,sr) * &
1256	sums_l(k,49,tn) &
1257	) * heatflux_output_conversion(k) * &
1258	flag
1259	END IF
1260	END IF
1261	ENDIF
1262	!
1263	!-- Passive scalar flux
1264	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
1265	.OR. sr /= 0 ) ) THEN
1266	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1267	s(k+1,j,i) - hom(k+1,1,115,sr) )
1268	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1269	rmask(j,i,sr) * flag
1270	ENDIF
1271
1272	!
1273	!-- Energy flux we
1274	!-- has to be adjusted
1275	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1276	( ust2 + vst2 + w(k,j,i)**2 ) &
1277	* momentumflux_output_conversion(k) &
1278	* rmask(j,i,sr) * flag
1279	ENDDO
1280	ENDDO
1281	ENDDO
1282	!$OMP END PARALLEL
1283	!
1284	!-- Treat land-surface quantities according to new wall model structure.
1285	IF ( land_surface ) THEN
1286	tn = 0
1287	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1288	!$ tn = omp_get_thread_num()
1289	!$OMP DO
1290	DO m = 1, surf_lsm_h%ns
1291	i = surf_lsm_h%i(m)
1292	j = surf_lsm_h%j(m)
1293
1294	IF ( i >= nxl .AND. i <= nxr .AND. &
1295	j >= nys .AND. j <= nyn ) THEN
1296	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h%ghf(m)
1297	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h%qsws_liq(m)
1298	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h%qsws_soil(m)
1299	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h%qsws_veg(m)
1300	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h%r_a(m)
1301	sums_l(nzb,98,tn) = sums_l(nzb,98,tn)+ surf_lsm_h%r_s(m)
1302	ENDIF
1303	ENDDO
1304	!$OMP END PARALLEL
1305
1306	tn = 0
1307	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1308	!$ tn = omp_get_thread_num()
1309	!$OMP DO
1310	DO m = 1, surf_lsm_h%ns
1311
1312	i = surf_lsm_h%i(m)
1313	j = surf_lsm_h%j(m)
1314
1315	IF ( i >= nxl .AND. i <= nxr .AND. &
1316	j >= nys .AND. j <= nyn ) THEN
1317
1318	DO k = nzb_soil, nzt_soil
1319	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h%var_2d(k,m) &
1320	* rmask(j,i,sr)
1321	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h%var_2d(k,m) &
1322	* rmask(j,i,sr)
1323	ENDDO
1324	ENDIF
1325	ENDDO
1326	!$OMP END PARALLEL
1327	ENDIF
1328	!
1329	!-- For speed optimization fluxes which have been computed in part directly
1330	!-- inside the WS advection routines are treated seperatly
1331	!-- Momentum fluxes first:
1332
1333	tn = 0
1334	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
1335	!$ tn = omp_get_thread_num()
1336	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1337	!$OMP DO
1338	DO i = nxl, nxr
1339	DO j = nys, nyn
1340	DO k = nzb, nzt
1341	!
1342	!-- Flag 23 is used to mask surface fluxes as well as model-top
1343	!-- fluxes, which are added further below.
1344	flag = MERGE( 1.0_wp, 0.0_wp, &
1345	BTEST( wall_flags_0(k,j,i), 23 ) ) * &
1346	MERGE( 1.0_wp, 0.0_wp, &
1347	BTEST( wall_flags_0(k,j,i), 9 ) )
1348
1349	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1350	u(k+1,j,i) - hom(k+1,1,1,sr) )
1351	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1352	v(k+1,j,i) - hom(k+1,1,2,sr) )
1353	!
1354	!-- Momentum flux wu
1355	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
1356	( w(k,j,i-1) + w(k,j,i) ) &
1357	* momentumflux_output_conversion(k) &
1358	* ust * rmask(j,i,sr) &
1359	* flag
1360	!
1361	!-- Momentum flux wv
1362	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * &
1363	( w(k,j-1,i) + w(k,j,i) ) &
1364	* momentumflux_output_conversion(k) &
1365	* vst * rmask(j,i,sr) &
1366	* flag
1367	ENDDO
1368	ENDDO
1369	ENDDO
1370
1371	ENDIF
1372	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1373	!$OMP DO
1374	DO i = nxl, nxr
1375	DO j = nys, nyn
1376	DO k = nzb, nzt
1377	flag = MERGE( 1.0_wp, 0.0_wp, &
1378	BTEST( wall_flags_0(k,j,i), 23 ) ) * &
1379	MERGE( 1.0_wp, 0.0_wp, &
1380	BTEST( wall_flags_0(k,j,i), 9 ) )
1381	!
1382	!-- Vertical heat flux
1383	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1384	( pt(k,j,i) - hom(k,1,4,sr) + &
1385	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1386	* heatflux_output_conversion(k) &
1387	* w(k,j,i) * rmask(j,i,sr) * flag
1388	IF ( humidity ) THEN
1389	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1390	q(k+1,j,i) - hom(k+1,1,41,sr) )
1391	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1392	waterflux_output_conversion(k) * &
1393	rmask(j,i,sr) * flag
1394	ENDIF
1395	IF ( passive_scalar ) THEN
1396	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1397	s(k+1,j,i) - hom(k+1,1,115,sr) )
1398	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1399	rmask(j,i,sr) * flag
1400	ENDIF
1401	ENDDO
1402	ENDDO
1403	ENDDO
1404
1405	ENDIF
1406
1407	!
1408	!-- Density at top follows Neumann condition
1409	IF ( ocean ) THEN
1410	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1411	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1412	ENDIF
1413
1414	!
1415	!-- Divergence of vertical flux of resolved scale energy and pressure
1416	!-- fluctuations as well as flux of pressure fluctuation itself (68).
1417	!-- First calculate the products, then the divergence.
1418	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1419	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) &
1420	THEN
1421	sums_ll = 0.0_wp ! local array
1422
1423	!$OMP DO
1424	DO i = nxl, nxr
1425	DO j = nys, nyn
1426	DO k = nzb+1, nzt
1427	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1428
1429	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1430	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1431	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2&
1432	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1433	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2&
1434	+ w(k,j,i)*2 ) flag
1435
1436	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1437	* ( ( p(k,j,i) + p(k+1,j,i) ) &
1438	/ momentumflux_output_conversion(k) ) &
1439	* flag
1440
1441	ENDDO
1442	ENDDO
1443	ENDDO
1444	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1445	sums_ll(nzt+1,1) = 0.0_wp
1446	sums_ll(0,2) = 0.0_wp
1447	sums_ll(nzt+1,2) = 0.0_wp
1448
1449	DO k = nzb+1, nzt
1450	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1451	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1452	sums_l(k,68,tn) = sums_ll(k,2)
1453	ENDDO
1454	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1455	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1456	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1457
1458	ENDIF
1459
1460	!
1461	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1462	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) &
1463	THEN
1464	!$OMP DO
1465	DO i = nxl, nxr
1466	DO j = nys, nyn
1467	DO k = nzb+1, nzt
1468
1469	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1470
1471	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1472	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1473	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1474	) * ddzw(k) &
1475	* flag
1476
1477	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1478	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1479	) * flag
1480
1481	ENDDO
1482	ENDDO
1483	ENDDO
1484	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1485	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1486
1487	ENDIF
1488
1489	!
1490	!-- Horizontal heat fluxes (subgrid, resolved, total).
1491	!-- Do it only, if profiles shall be plotted.
1492	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1493
1494	!$OMP DO
1495	DO i = nxl, nxr
1496	DO j = nys, nyn
1497	DO k = nzb+1, nzt
1498	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1499	!
1500	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1501	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1502	( kh(k,j,i) + kh(k,j,i-1) ) &
1503	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1504	* rho_air_zw(k) &
1505	* heatflux_output_conversion(k) &
1506	* ddx * rmask(j,i,sr) * flag
1507	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1508	( kh(k,j,i) + kh(k,j-1,i) ) &
1509	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1510	* rho_air_zw(k) &
1511	* heatflux_output_conversion(k) &
1512	* ddy * rmask(j,i,sr) * flag
1513	!
1514	!-- Resolved horizontal heat fluxes upt, vpt
1515	sums_l(k,59,tn) = sums_l(k,59,tn) + &
1516	( u(k,j,i) - hom(k,1,1,sr) ) &
1517	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1518	pt(k,j,i) - hom(k,1,4,sr) ) &
1519	* heatflux_output_conversion(k) &
1520	* flag
1521	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1522	pt(k,j,i) - hom(k,1,4,sr) )
1523	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1524	( v(k,j,i) - hom(k,1,2,sr) ) &
1525	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1526	pt(k,j,i) - hom(k,1,4,sr) ) &
1527	* heatflux_output_conversion(k) &
1528	* flag
1529	ENDDO
1530	ENDDO
1531	ENDDO
1532	!
1533	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1534	sums_l(nzb,58,tn) = 0.0_wp
1535	sums_l(nzb,59,tn) = 0.0_wp
1536	sums_l(nzb,60,tn) = 0.0_wp
1537	sums_l(nzb,61,tn) = 0.0_wp
1538	sums_l(nzb,62,tn) = 0.0_wp
1539	sums_l(nzb,63,tn) = 0.0_wp
1540
1541	ENDIF
1542	!$OMP END PARALLEL
1543
1544	!
1545	!-- Collect current large scale advection and subsidence tendencies for
1546	!-- data output
1547	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1548	!
1549	!-- Interpolation in time of LSF_DATA
1550	nt = 1
1551	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1552	nt = nt + 1
1553	ENDDO
1554	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1555	nt = nt - 1
1556	ENDIF
1557
1558	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
1559	/ ( time_vert(nt+1)-time_vert(nt) )
1560
1561
1562	DO k = nzb, nzt
1563	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
1564	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1565	sums_ls_l(k,1) = td_lsa_q(k,nt) &
1566	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1567	ENDDO
1568
1569	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1570	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1571
1572	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1573
1574	DO k = nzb, nzt
1575	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
1576	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1577	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
1578	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1579	ENDDO
1580
1581	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1582	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1583
1584	ENDIF
1585
1586	ENDIF
1587
1588	tn = 0
1589	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1590	!$ tn = omp_get_thread_num()
1591	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1592	!$OMP DO
1593	DO i = nxl, nxr
1594	DO j = nys, nyn
1595	DO k = nzb+1, nzt+1
1596	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1597
1598	sums_l(k,100,tn) = sums_l(k,100,tn) + rad_lw_in(k,j,i) &
1599	* rmask(j,i,sr) * flag
1600	sums_l(k,101,tn) = sums_l(k,101,tn) + rad_lw_out(k,j,i) &
1601	* rmask(j,i,sr) * flag
1602	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_sw_in(k,j,i) &
1603	* rmask(j,i,sr) * flag
1604	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_sw_out(k,j,i) &
1605	* rmask(j,i,sr) * flag
1606	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_lw_cs_hr(k,j,i) &
1607	* rmask(j,i,sr) * flag
1608	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_lw_hr(k,j,i) &
1609	* rmask(j,i,sr) * flag
1610	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_sw_cs_hr(k,j,i) &
1611	* rmask(j,i,sr) * flag
1612	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_sw_hr(k,j,i) &
1613	* rmask(j,i,sr) * flag
1614	ENDDO
1615	ENDDO
1616	ENDDO
1617	ENDIF
1618	!
1619	!-- Calculate the user-defined profiles
1620	CALL user_statistics( 'profiles', sr, tn )
1621	!$OMP END PARALLEL
1622
1623	!
1624	!-- Summation of thread sums
1625	IF ( threads_per_task > 1 ) THEN
1626	DO i = 1, threads_per_task-1
1627	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1628	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1629	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1630	sums_l(:,45:pr_palm,i)
1631	IF ( max_pr_user > 0 ) THEN
1632	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1633	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1634	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1635	ENDIF
1636	ENDDO
1637	ENDIF
1638
1639	#if defined( __parallel )
1640
1641	!
1642	!-- Compute total sum from local sums
1643	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1644	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1645	MPI_SUM, comm2d, ierr )
1646	IF ( large_scale_forcing ) THEN
1647	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
1648	MPI_REAL, MPI_SUM, comm2d, ierr )
1649	ENDIF
1650	#else
1651	sums = sums_l(:,:,0)
1652	IF ( large_scale_forcing ) THEN
1653	sums(:,81:88) = sums_ls_l
1654	ENDIF
1655	#endif
1656
1657	!
1658	!-- Final values are obtained by division by the total number of grid points
1659	!-- used for summation. After that store profiles.
1660	!-- Check, if statistical regions do contain at least one grid point at the
1661	!-- respective k-level, otherwise division by zero will lead to undefined
1662	!-- values, which may cause e.g. problems with NetCDF output
1663	!-- Profiles:
1664	DO k = nzb, nzt+1
1665	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1666	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1667	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1668	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1669	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1670	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1671	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1672	sums(k,89:112) = sums(k,89:112) / ngp_2dh(sr)
1673	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1674	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1675	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1676	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1677	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1678	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1679	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1680	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1681	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1682	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1683	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1684	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1685	ENDIF
1686	ENDDO
1687
1688	!-- u* and so on
1689	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1690	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1691	!-- above the topography, they are being divided by ngp_2dh(sr)
1692	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1693	ngp_2dh(sr)
1694	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1695	ngp_2dh(sr)
1696	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / & ! ss
1697	ngp_2dh(sr)
1698	!-- eges, e*
1699	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1700	ngp_3d(sr)
1701	!-- Old and new divergence
1702	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1703	ngp_3d_inner(sr)
1704
1705	!-- User-defined profiles
1706	IF ( max_pr_user > 0 ) THEN
1707	DO k = nzb, nzt+1
1708	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1709	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1710	ngp_2dh_s_inner(k,sr)
1711	ENDDO
1712	ENDIF
1713
1714	!
1715	!-- Collect horizontal average in hom.
1716	!-- Compute deduced averages (e.g. total heat flux)
1717	hom(:,1,3,sr) = sums(:,3) ! w
1718	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1719	hom(:,1,9,sr) = sums(:,9) ! km
1720	hom(:,1,10,sr) = sums(:,10) ! kh
1721	hom(:,1,11,sr) = sums(:,11) ! l
1722	hom(:,1,12,sr) = sums(:,12) ! w"u"
1723	hom(:,1,13,sr) = sums(:,13) ! wu
1724	hom(:,1,14,sr) = sums(:,14) ! w"v"
1725	hom(:,1,15,sr) = sums(:,15) ! wv
1726	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1727	hom(:,1,17,sr) = sums(:,17) ! wpt
1728	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1729	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1730	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1731	hom(:,1,21,sr) = sums(:,21) ! wptBC
1732	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1733	! profile 24 is initial profile (sa)
1734	! profiles 25-29 left empty for initial
1735	! profiles
1736	hom(:,1,30,sr) = sums(:,30) ! u*2
1737	hom(:,1,31,sr) = sums(:,31) ! v*2
1738	hom(:,1,32,sr) = sums(:,32) ! w*2
1739	hom(:,1,33,sr) = sums(:,33) ! pt*2
1740	hom(:,1,34,sr) = sums(:,34) ! e*
1741	hom(:,1,35,sr) = sums(:,35) ! w2pt
1742	hom(:,1,36,sr) = sums(:,36) ! wpt2
1743	hom(:,1,37,sr) = sums(:,37) ! we
1744	hom(:,1,38,sr) = sums(:,38) ! w*3
1745	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1746	hom(:,1,40,sr) = sums(:,40) ! p
1747	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1748	hom(:,1,46,sr) = sums(:,46) ! wvpt
1749	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1750	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1751	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1752	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1753	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1754	hom(:,1,52,sr) = sums(:,52) ! wqv
1755	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1756	hom(:,1,54,sr) = sums(:,54) ! ql
1757	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1758	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1759	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
1760	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1761	hom(:,1,59,sr) = sums(:,59) ! upt
1762	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1763	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1764	hom(:,1,62,sr) = sums(:,62) ! vpt
1765	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1766	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
1767	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1768	hom(:,1,66,sr) = sums(:,66) ! wsa
1769	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1770	hom(:,1,68,sr) = sums(:,68) ! wp
1771	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
1772	hom(:,1,70,sr) = sums(:,70) ! q*2
1773	hom(:,1,71,sr) = sums(:,71) ! prho
1774	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
1775	hom(:,1,123,sr) = sums(:,123) ! nc
1776	hom(:,1,73,sr) = sums(:,73) ! nr
1777	hom(:,1,74,sr) = sums(:,74) ! qr
1778	hom(:,1,75,sr) = sums(:,75) ! qc
1779	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1780	! 77 is initial density profile
1781	hom(:,1,78,sr) = ug ! ug
1782	hom(:,1,79,sr) = vg ! vg
1783	hom(:,1,80,sr) = w_subs ! w_subs
1784
1785	IF ( large_scale_forcing ) THEN
1786	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1787	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1788	IF ( use_subsidence_tendencies ) THEN
1789	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1790	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1791	ELSE
1792	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1793	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1794	ENDIF
1795	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1796	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1797	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1798	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1799	ENDIF
1800
1801	IF ( land_surface ) THEN
1802	hom(:,1,89,sr) = sums(:,89) ! t_soil
1803	! 90 is initial t_soil profile
1804	hom(:,1,91,sr) = sums(:,91) ! m_soil
1805	! 92 is initial m_soil profile
1806	hom(:,1,93,sr) = sums(:,93) ! ghf
1807	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
1808	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
1809	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
1810	hom(:,1,97,sr) = sums(:,97) ! r_a
1811	hom(:,1,98,sr) = sums(:,98) ! r_s
1812
1813	ENDIF
1814
1815	IF ( radiation ) THEN
1816	hom(:,1,99,sr) = sums(:,99) ! rad_net
1817	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
1818	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
1819	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
1820	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
1821
1822	IF ( radiation_scheme == 'rrtmg' ) THEN
1823	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
1824	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
1825	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
1826	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
1827
1828	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
1829	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
1830	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
1831	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
1832	ENDIF
1833	ENDIF
1834
1835	hom(:,1,112,sr) = sums(:,112) !: L
1836
1837	IF ( passive_scalar ) THEN
1838	hom(:,1,117,sr) = sums(:,117) ! w"s"
1839	hom(:,1,114,sr) = sums(:,114) ! ws
1840	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
1841	hom(:,1,116,sr) = sums(:,116) ! s*2
1842	ENDIF
1843
1844	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
1845	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
1846
1847	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
1848	! u, w'u', w'v', t (in last profile)
1849
1850	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
1851	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
1852	sums(:,pr_palm+1:pr_palm+max_pr_user)
1853	ENDIF
1854
1855	!
1856	!-- Determine the boundary layer height using two different schemes.
1857	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
1858	!-- first relative minimum (maximum) of the total heat flux.
1859	!-- The corresponding height is assumed as the boundary layer height, if it
1860	!-- is less than 1.5 times the height where the heat flux becomes negative
1861	!-- (positive) for the first time.
1862	z_i(1) = 0.0_wp
1863	first = .TRUE.
1864
1865	IF ( ocean ) THEN
1866	DO k = nzt, nzb+1, -1
1867	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
1868	first = .FALSE.
1869	height = zw(k)
1870	ENDIF
1871	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
1872	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
1873	IF ( zw(k) < 1.5_wp * height ) THEN
1874	z_i(1) = zw(k)
1875	ELSE
1876	z_i(1) = height
1877	ENDIF
1878	EXIT
1879	ENDIF
1880	ENDDO
1881	ELSE
1882	DO k = nzb, nzt-1
1883	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
1884	first = .FALSE.
1885	height = zw(k)
1886	ENDIF
1887	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
1888	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
1889	IF ( zw(k) < 1.5_wp * height ) THEN
1890	z_i(1) = zw(k)
1891	ELSE
1892	z_i(1) = height
1893	ENDIF
1894	EXIT
1895	ENDIF
1896	ENDDO
1897	ENDIF
1898
1899	!
1900	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
1901	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
1902	!-- maximal local temperature gradient: starting from the second (the last
1903	!-- but one) vertical gridpoint, the local gradient must be at least
1904	!-- 0.2K/100m and greater than the next four gradients.
1905	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
1906	!-- ocean case!
1907	z_i(2) = 0.0_wp
1908	DO k = nzb+1, nzt+1
1909	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
1910	ENDDO
1911	dptdz_threshold = 0.2_wp / 100.0_wp
1912
1913	IF ( ocean ) THEN
1914	DO k = nzt+1, nzb+5, -1
1915	IF ( dptdz(k) > dptdz_threshold .AND. &
1916	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
1917	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
1918	z_i(2) = zw(k-1)
1919	EXIT
1920	ENDIF
1921	ENDDO
1922	ELSE
1923	DO k = nzb+1, nzt-3
1924	IF ( dptdz(k) > dptdz_threshold .AND. &
1925	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
1926	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
1927	z_i(2) = zw(k-1)
1928	EXIT
1929	ENDIF
1930	ENDDO
1931	ENDIF
1932
1933	hom(nzb+6,1,pr_palm,sr) = z_i(1)
1934	hom(nzb+7,1,pr_palm,sr) = z_i(2)
1935
1936	!
1937	!-- Determine vertical index which is nearest to the mean surface level
1938	!-- height of the respective statistic region
1939	DO k = nzb, nzt
1940	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
1941	k_surface_level = k
1942	EXIT
1943	ENDIF
1944	ENDDO
1945	!
1946	!-- Computation of both the characteristic vertical velocity and
1947	!-- the characteristic convective boundary layer temperature.
1948	!-- The inversion height entering into the equation is defined with respect
1949	!-- to the mean surface level height of the respective statistic region.
1950	!-- The horizontal average at surface level index + 1 is input for the
1951	!-- average temperature.
1952	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp )&
1953	THEN
1954	hom(nzb+8,1,pr_palm,sr) = &
1955	( g / hom(k_surface_level+1,1,4,sr) * &
1956	( hom(k_surface_level,1,18,sr) / &
1957	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
1958	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
1959	ELSE
1960	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
1961	ENDIF
1962
1963	!
1964	!-- Collect the time series quantities
1965	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
1966	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
1967	ts_value(3,sr) = dt_3d
1968	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
1969	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
1970	ts_value(6,sr) = u_max
1971	ts_value(7,sr) = v_max
1972	ts_value(8,sr) = w_max
1973	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
1974	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
1975	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
1976	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
1977	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
1978	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
1979	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
1980	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
1981	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
1982	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
1983	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
1984	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
1985	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
1986
1987	IF ( .NOT. neutral ) THEN
1988	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
1989	ELSE
1990	ts_value(22,sr) = 1.0E10_wp
1991	ENDIF
1992
1993	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
1994
1995	IF ( passive_scalar ) THEN
1996	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
1997	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
1998	ENDIF
1999
2000	!
2001	!-- Collect land surface model timeseries
2002	IF ( land_surface ) THEN
2003	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2004	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2005	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2006	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2007	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2008	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2009	ENDIF
2010	!
2011	!-- Collect radiation model timeseries
2012	IF ( radiation ) THEN
2013	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2014	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2015	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2016	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2017	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2018
2019	IF ( radiation_scheme == 'rrtmg' ) THEN
2020	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2021	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2022	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2023	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2024	ENDIF
2025
2026	ENDIF
2027
2028	!
2029	!-- Calculate additional statistics provided by the user interface
2030	CALL user_statistics( 'time_series', sr, 0 )
2031
2032	ENDDO ! loop of the subregions
2033
2034	!
2035	!-- If required, sum up horizontal averages for subsequent time averaging.
2036	!-- Do not sum, if flow statistics is called before the first initial time step.
2037	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2038	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2039	hom_sum = hom_sum + hom(:,1,:,:)
2040	average_count_pr = average_count_pr + 1
2041	do_sum = .FALSE.
2042	ENDIF
2043
2044	!
2045	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2046	!-- This flag is reset after each time step in time_integration.
2047	flow_statistics_called = .TRUE.
2048
2049	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2050
2051
2052	END SUBROUTINE flow_statistics

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