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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1106

Last change on this file since 1106 was 1054, checked in by hoffmann, 12 years ago
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1	SUBROUTINE flow_statistics
2
3	!--------------------------------------------------------------------------------!
4	! This file is part of PALM.
5	!
6	! PALM is free software: you can redistribute it and/or modify it under the terms
7	! of the GNU General Public License as published by the Free Software Foundation,
8	! either version 3 of the License, or (at your option) any later 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 1997-2012 Leibniz University Hannover
18	!--------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	! Former revisions:
24	! -----------------
25	! $Id: flow_statistics.f90 1054 2012-11-13 17:30:09Z raasch $
26	!
27	! 1053 2012-11-13 17:11:03Z hoffmann
28	! necessary additions for two-moment cloud physics scheme:
29	! +nr, qr, qc, prr
30	!
31	! 1036 2012-10-22 13:43:42Z raasch
32	! code put under GPL (PALM 3.9)
33	!
34	! 1007 2012-09-19 14:30:36Z franke
35	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
36	! turbulent fluxes of WS-scheme
37	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
38	! droplets at nzb and nzt added
39	!
40	! 801 2012-01-10 17:30:36Z suehring
41	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
42	!
43	! 743 2011-08-18 16:10:16Z suehring
44	! Calculation of turbulent fluxes with WS-scheme only for the whole model
45	! domain, not for user-defined subregions.
46	!
47	! 709 2011-03-30 09:31:40Z raasch
48	! formatting adjustments
49	!
50	! 699 2011-03-22 17:52:22Z suehring
51	! Bugfix in calculation of vertical velocity skewness. The added absolute value
52	! avoid negative values in the root. Negative values of w'w' can occur at the
53	! top or bottom of the model domain due to degrading the order of advection
54	! scheme. Furthermore the calculation will be the same for all advection
55	! schemes.
56	!
57	! 696 2011-03-18 07:03:49Z raasch
58	! Bugfix: Summation of Wicker-Skamarock scheme fluxes and variances for all
59	! threads
60	!
61	! 678 2011-02-02 14:31:56Z raasch
62	! Bugfix in calculation of the divergence of vertical flux of resolved scale
63	! energy, pressure fluctuations, and flux of pressure fluctuation itself
64	!
65	! 673 2011-01-18 16:19:48Z suehring
66	! Top bc for the horizontal velocity variances added for ocean runs.
67	! Setting the corresponding bottom bc moved to advec_ws.
68	!
69	! 667 2010-12-23 12:06:00Z suehring/gryschka
70	! When advection is computed with ws-scheme, turbulent fluxes are already
71	! computed in the respective advection routines and buffered in arrays
72	! sums_xx_ws_l(). This is due to a consistent treatment of statistics with the
73	! numerics and to avoid unphysical kinks near the surface.
74	! So some if requests has to be done to dicern between fluxes from ws-scheme
75	! other advection schemes.
76	! Furthermore the computation of z_i is only done if the heat flux exceeds a
77	! minimum value. This affects only simulations of a neutral boundary layer and
78	! is due to reasons of computations in the advection scheme.
79	!
80	! 624 2010-12-10 11:46:30Z heinze
81	! Calculation of q*2 added
82	!
83	! 622 2010-12-10 08:08:13Z raasch
84	! optional barriers included in order to speed up collective operations
85	!
86	! 388 2009-09-23 09:40:33Z raasch
87	! Vertical profiles of potential density and hydrostatic pressure are
88	! calculated.
89	! Added missing timeseries calculation of w"q"(0), moved timeseries q* to the
90	! end.
91	! Temperature gradient criterion for estimating the boundary layer height
92	! replaced by the gradient criterion of Sullivan et al. (1998).
93	! Output of messages replaced by message handling routine.
94	!
95	! 197 2008-09-16 15:29:03Z raasch
96	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
97	! added,
98	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
99	! (like other scalars)
100	!
101	! 133 2007-11-20 10:10:53Z letzel
102	! Vertical profiles now based on nzb_s_inner; they are divided by
103	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
104	! velocity components and their products, procucts of scalars and velocity
105	! components), respectively.
106	!
107	! 106 2007-08-16 14:30:26Z raasch
108	! Prescribed momentum fluxes at the top surface are used,
109	! profiles for wp and w"e are calculated
110	!
111	! 97 2007-06-21 08:23:15Z raasch
112	! Statistics for ocean version (salinity, density) added,
113	! calculation of z_i and Deardorff velocity scale adjusted to be used with
114	! the ocean version
115	!
116	! 87 2007-05-22 15:46:47Z raasch
117	! Two more arguments added to user_statistics, which is now also called for
118	! user-defined profiles,
119	! var_hom and var_sum renamed pr_palm
120	!
121	! 82 2007-04-16 15:40:52Z raasch
122	! Cpp-directive lcmuk changed to intel_openmp_bug
123	!
124	! 75 2007-03-22 09:54:05Z raasch
125	! Collection of time series quantities moved from routine flow_statistics to
126	! here, routine user_statistics is called for each statistic region,
127	! moisture renamed humidity
128	!
129	! 19 2007-02-23 04:53:48Z raasch
130	! fluxes at top modified (tswst, qswst)
131	!
132	! RCS Log replace by Id keyword, revision history cleaned up
133	!
134	! Revision 1.41 2006/08/04 14:37:50 raasch
135	! Error removed in non-parallel part (sums_l)
136	!
137	! Revision 1.1 1997/08/11 06:15:17 raasch
138	! Initial revision
139	!
140	!
141	! Description:
142	! ------------
143	! Compute average profiles and further average flow quantities for the different
144	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
145	!
146	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
147	! ---- lower vertical index for k-loops for all variables, although strictly
148	! speaking the k-loops would have to be split up according to the staggered
149	! grid. However, this implies no error since staggered velocity components are
150	! zero at the walls and inside buildings.
151	!------------------------------------------------------------------------------!
152
153	USE arrays_3d
154	USE cloud_parameters
155	USE control_parameters
156	USE cpulog
157	USE grid_variables
158	USE indices
159	USE interfaces
160	USE pegrid
161	USE statistics
162
163	IMPLICIT NONE
164
165	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
166	LOGICAL :: first
167	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
168	ust2, u2, vst, vst2, v2, w2, z_i(2)
169	REAL :: dptdz(nzb+1:nzt+1)
170	REAL :: sums_ll(nzb:nzt+1,2)
171
172	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
173
174	!
175	!-- To be on the safe side, check whether flow_statistics has already been
176	!-- called once after the current time step
177	IF ( flow_statistics_called ) THEN
178
179	message_string = 'flow_statistics is called two times within one ' // &
180	'timestep'
181	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
182
183	ENDIF
184
185	!
186	!-- Compute statistics for each (sub-)region
187	DO sr = 0, statistic_regions
188
189	!
190	!-- Initialize (local) summation array
191	sums_l = 0.0
192
193	!
194	!-- Store sums that have been computed in other subroutines in summation
195	!-- array
196	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
197	!-- WARNING: next line still has to be adjusted for OpenMP
198	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
199	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
200	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
201
202	!
203	!-- Copy the turbulent quantities, evaluated in the advection routines to
204	!-- the local array sums_l() for further computations
205	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
206
207	!
208	!-- According to the Neumann bc for the horizontal velocity components,
209	!-- the corresponding fluxes has to satisfiy the same bc.
210	IF ( ocean ) THEN
211	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
212	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
213	ENDIF
214
215	DO i = 0, threads_per_task-1
216	!
217	!-- Swap the turbulent quantities evaluated in advec_ws.
218	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
219	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
220	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
221	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
222	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
223	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
224	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
225	sums_ws2_ws_l(:,i) ) ! e*
226	DO k = nzb, nzt
227	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
228	sums_us2_ws_l(k,i) + &
229	sums_vs2_ws_l(k,i) + &
230	sums_ws2_ws_l(k,i) )
231	ENDDO
232	ENDDO
233
234	ENDIF
235
236	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
237
238	DO i = 0, threads_per_task-1
239	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
240	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
241	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
242	sums_wsqs_ws_l(:,i) !wq
243	ENDDO
244
245	ENDIF
246	!
247	!-- Horizontally averaged profiles of horizontal velocities and temperature.
248	!-- They must have been computed before, because they are already required
249	!-- for other horizontal averages.
250	tn = 0
251
252	!$OMP PARALLEL PRIVATE( i, j, k, tn )
253	#if defined( __intel_openmp_bug )
254	tn = omp_get_thread_num()
255	#else
256	!$ tn = omp_get_thread_num()
257	#endif
258
259	!$OMP DO
260	DO i = nxl, nxr
261	DO j = nys, nyn
262	DO k = nzb_s_inner(j,i), nzt+1
263	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
264	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
265	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
266	ENDDO
267	ENDDO
268	ENDDO
269
270	!
271	!-- Horizontally averaged profile of salinity
272	IF ( ocean ) THEN
273	!$OMP DO
274	DO i = nxl, nxr
275	DO j = nys, nyn
276	DO k = nzb_s_inner(j,i), nzt+1
277	sums_l(k,23,tn) = sums_l(k,23,tn) + &
278	sa(k,j,i) * rmask(j,i,sr)
279	ENDDO
280	ENDDO
281	ENDDO
282	ENDIF
283
284	!
285	!-- Horizontally averaged profiles of virtual potential temperature,
286	!-- total water content, specific humidity and liquid water potential
287	!-- temperature
288	IF ( humidity ) THEN
289	!$OMP DO
290	DO i = nxl, nxr
291	DO j = nys, nyn
292	DO k = nzb_s_inner(j,i), nzt+1
293	sums_l(k,44,tn) = sums_l(k,44,tn) + &
294	vpt(k,j,i) * rmask(j,i,sr)
295	sums_l(k,41,tn) = sums_l(k,41,tn) + &
296	q(k,j,i) * rmask(j,i,sr)
297	ENDDO
298	ENDDO
299	ENDDO
300	IF ( cloud_physics ) THEN
301	!$OMP DO
302	DO i = nxl, nxr
303	DO j = nys, nyn
304	DO k = nzb_s_inner(j,i), nzt+1
305	sums_l(k,42,tn) = sums_l(k,42,tn) + &
306	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
307	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
308	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
309	) * rmask(j,i,sr)
310	ENDDO
311	ENDDO
312	ENDDO
313	ENDIF
314	ENDIF
315
316	!
317	!-- Horizontally averaged profiles of passive scalar
318	IF ( passive_scalar ) THEN
319	!$OMP DO
320	DO i = nxl, nxr
321	DO j = nys, nyn
322	DO k = nzb_s_inner(j,i), nzt+1
323	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
324	ENDDO
325	ENDDO
326	ENDDO
327	ENDIF
328	!$OMP END PARALLEL
329	!
330	!-- Summation of thread sums
331	IF ( threads_per_task > 1 ) THEN
332	DO i = 1, threads_per_task-1
333	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
334	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
335	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
336	IF ( ocean ) THEN
337	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
338	ENDIF
339	IF ( humidity ) THEN
340	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
341	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
342	IF ( cloud_physics ) THEN
343	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
344	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
345	ENDIF
346	ENDIF
347	IF ( passive_scalar ) THEN
348	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
349	ENDIF
350	ENDDO
351	ENDIF
352
353	#if defined( __parallel )
354	!
355	!-- Compute total sum from local sums
356	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
357	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
358	MPI_SUM, comm2d, ierr )
359	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
360	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
361	MPI_SUM, comm2d, ierr )
362	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
363	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
364	MPI_SUM, comm2d, ierr )
365	IF ( ocean ) THEN
366	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
367	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
368	MPI_REAL, MPI_SUM, comm2d, ierr )
369	ENDIF
370	IF ( humidity ) THEN
371	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
372	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
373	MPI_REAL, MPI_SUM, comm2d, ierr )
374	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
375	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
376	MPI_REAL, MPI_SUM, comm2d, ierr )
377	IF ( cloud_physics ) THEN
378	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
379	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
380	MPI_REAL, MPI_SUM, comm2d, ierr )
381	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
382	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
383	MPI_REAL, MPI_SUM, comm2d, ierr )
384	ENDIF
385	ENDIF
386
387	IF ( passive_scalar ) THEN
388	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
389	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
390	MPI_REAL, MPI_SUM, comm2d, ierr )
391	ENDIF
392	#else
393	sums(:,1) = sums_l(:,1,0)
394	sums(:,2) = sums_l(:,2,0)
395	sums(:,4) = sums_l(:,4,0)
396	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
397	IF ( humidity ) THEN
398	sums(:,44) = sums_l(:,44,0)
399	sums(:,41) = sums_l(:,41,0)
400	IF ( cloud_physics ) THEN
401	sums(:,42) = sums_l(:,42,0)
402	sums(:,43) = sums_l(:,43,0)
403	ENDIF
404	ENDIF
405	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
406	#endif
407
408	!
409	!-- Final values are obtained by division by the total number of grid points
410	!-- used for summation. After that store profiles.
411	sums(:,1) = sums(:,1) / ngp_2dh(sr)
412	sums(:,2) = sums(:,2) / ngp_2dh(sr)
413	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
414	hom(:,1,1,sr) = sums(:,1) ! u
415	hom(:,1,2,sr) = sums(:,2) ! v
416	hom(:,1,4,sr) = sums(:,4) ! pt
417
418
419	!
420	!-- Salinity
421	IF ( ocean ) THEN
422	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
423	hom(:,1,23,sr) = sums(:,23) ! sa
424	ENDIF
425
426	!
427	!-- Humidity and cloud parameters
428	IF ( humidity ) THEN
429	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
430	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
431	hom(:,1,44,sr) = sums(:,44) ! vpt
432	hom(:,1,41,sr) = sums(:,41) ! qv (q)
433	IF ( cloud_physics ) THEN
434	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
435	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
436	hom(:,1,42,sr) = sums(:,42) ! qv
437	hom(:,1,43,sr) = sums(:,43) ! pt
438	ENDIF
439	ENDIF
440
441	!
442	!-- Passive scalar
443	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
444	ngp_2dh_s_inner(:,sr) ! s (q)
445
446	!
447	!-- Horizontally averaged profiles of the remaining prognostic variables,
448	!-- variances, the total and the perturbation energy (single values in last
449	!-- column of sums_l) and some diagnostic quantities.
450	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
451	!-- ---- speaking the following k-loop would have to be split up and
452	!-- rearranged according to the staggered grid.
453	!-- However, this implies no error since staggered velocity components
454	!-- are zero at the walls and inside buildings.
455	tn = 0
456	#if defined( __intel_openmp_bug )
457	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
458	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
459	tn = omp_get_thread_num()
460	#else
461	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
462	!$ tn = omp_get_thread_num()
463	#endif
464	!$OMP DO
465	DO i = nxl, nxr
466	DO j = nys, nyn
467	sums_l_etot = 0.0
468	DO k = nzb_s_inner(j,i), nzt+1
469	!
470	!-- Prognostic and diagnostic variables
471	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
472	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
473	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
474	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
475	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
476
477	sums_l(k,33,tn) = sums_l(k,33,tn) + &
478	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
479
480	IF ( humidity ) THEN
481	sums_l(k,70,tn) = sums_l(k,70,tn) + &
482	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
483	ENDIF
484
485	!
486	!-- Higher moments
487	!-- (Computation of the skewness of w further below)
488	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
489
490	sums_l_etot = sums_l_etot + &
491	0.5 * ( u(k,j,i)2 + v(k,j,i)2 + &
492	w(k,j,i)*2 ) rmask(j,i,sr)
493	ENDDO
494	!
495	!-- Total and perturbation energy for the total domain (being
496	!-- collected in the last column of sums_l). Summation of these
497	!-- quantities is seperated from the previous loop in order to
498	!-- allow vectorization of that loop.
499	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
500	!
501	!-- 2D-arrays (being collected in the last column of sums_l)
502	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
503	us(j,i) * rmask(j,i,sr)
504	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
505	usws(j,i) * rmask(j,i,sr)
506	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
507	vsws(j,i) * rmask(j,i,sr)
508	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
509	ts(j,i) * rmask(j,i,sr)
510	IF ( humidity ) THEN
511	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
512	qs(j,i) * rmask(j,i,sr)
513	ENDIF
514	ENDDO
515	ENDDO
516
517	!
518	!-- Computation of statistics when ws-scheme is not used. Else these
519	!-- quantities are evaluated in the advection routines.
520	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
521	!$OMP DO
522	DO i = nxl, nxr
523	DO j = nys, nyn
524	sums_l_eper = 0.0
525	DO k = nzb_s_inner(j,i), nzt+1
526	u2 = u(k,j,i)**2
527	v2 = v(k,j,i)**2
528	w2 = w(k,j,i)**2
529	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
530	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
531
532	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
533	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
534	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
535	!
536	!-- Perturbation energy
537
538	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * &
539	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
540	sums_l_eper = sums_l_eper + &
541	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
542
543	ENDDO
544	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
545	+ sums_l_eper
546	ENDDO
547	ENDDO
548	ENDIF
549	!
550	!-- Horizontally averaged profiles of the vertical fluxes
551
552	!$OMP DO
553	DO i = nxl, nxr
554	DO j = nys, nyn
555	!
556	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
557	!-- oterwise from k=nzb+1)
558	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
559	!-- ---- strictly speaking the following k-loop would have to be
560	!-- split up according to the staggered grid.
561	!-- However, this implies no error since staggered velocity
562	!-- components are zero at the walls and inside buildings.
563
564	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
565	!
566	!-- Momentum flux w"u"
567	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
568	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
569	) * ( &
570	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
571	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
572	) * rmask(j,i,sr)
573	!
574	!-- Momentum flux w"v"
575	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
576	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
577	) * ( &
578	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
579	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
580	) * rmask(j,i,sr)
581	!
582	!-- Heat flux w"pt"
583	sums_l(k,16,tn) = sums_l(k,16,tn) &
584	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
585	* ( pt(k+1,j,i) - pt(k,j,i) ) &
586	* ddzu(k+1) * rmask(j,i,sr)
587
588
589	!
590	!-- Salinity flux w"sa"
591	IF ( ocean ) THEN
592	sums_l(k,65,tn) = sums_l(k,65,tn) &
593	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
594	* ( sa(k+1,j,i) - sa(k,j,i) ) &
595	* ddzu(k+1) * rmask(j,i,sr)
596	ENDIF
597
598	!
599	!-- Buoyancy flux, water flux (humidity flux) w"q"
600	IF ( humidity ) THEN
601	sums_l(k,45,tn) = sums_l(k,45,tn) &
602	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
603	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
604	* ddzu(k+1) * rmask(j,i,sr)
605	sums_l(k,48,tn) = sums_l(k,48,tn) &
606	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
607	* ( q(k+1,j,i) - q(k,j,i) ) &
608	* ddzu(k+1) * rmask(j,i,sr)
609
610	IF ( cloud_physics ) THEN
611	sums_l(k,51,tn) = sums_l(k,51,tn) &
612	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
613	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
614	- ( q(k,j,i) - ql(k,j,i) ) ) &
615	* ddzu(k+1) * rmask(j,i,sr)
616	ENDIF
617	ENDIF
618
619	!
620	!-- Passive scalar flux
621	IF ( passive_scalar ) THEN
622	sums_l(k,48,tn) = sums_l(k,48,tn) &
623	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
624	* ( q(k+1,j,i) - q(k,j,i) ) &
625	* ddzu(k+1) * rmask(j,i,sr)
626	ENDIF
627
628	ENDDO
629
630	!
631	!-- Subgridscale fluxes in the Prandtl layer
632	IF ( use_surface_fluxes ) THEN
633	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
634	usws(j,i) * rmask(j,i,sr) ! w"u"
635	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
636	vsws(j,i) * rmask(j,i,sr) ! w"v"
637	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
638	shf(j,i) * rmask(j,i,sr) ! w"pt"
639	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
640	0.0 * rmask(j,i,sr) ! u"pt"
641	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
642	0.0 * rmask(j,i,sr) ! v"pt"
643	IF ( ocean ) THEN
644	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
645	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
646	ENDIF
647	IF ( humidity ) THEN
648	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
649	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
650	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
651	( 1.0 + 0.61 * q(nzb,j,i) ) * &
652	shf(j,i) + 0.61 * pt(nzb,j,i) * &
653	qsws(j,i) )
654	IF ( cloud_droplets ) THEN
655	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
656	( 1.0 + 0.61 * q(nzb,j,i) - &
657	ql(nzb,j,i) ) * shf(j,i) + &
658	0.61 * pt(nzb,j,i) * qsws(j,i) )
659	ENDIF
660	IF ( cloud_physics ) THEN
661	!
662	!-- Formula does not work if ql(nzb) /= 0.0
663	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
664	qsws(j,i) * rmask(j,i,sr)
665	ENDIF
666	ENDIF
667	IF ( passive_scalar ) THEN
668	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
669	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
670	ENDIF
671	ENDIF
672
673	!
674	!-- Subgridscale fluxes at the top surface
675	IF ( use_top_fluxes ) THEN
676	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
677	uswst(j,i) * rmask(j,i,sr) ! w"u"
678	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
679	vswst(j,i) * rmask(j,i,sr) ! w"v"
680	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
681	tswst(j,i) * rmask(j,i,sr) ! w"pt"
682	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
683	0.0 * rmask(j,i,sr) ! u"pt"
684	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
685	0.0 * rmask(j,i,sr) ! v"pt"
686
687	IF ( ocean ) THEN
688	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
689	saswst(j,i) * rmask(j,i,sr) ! w"sa"
690	ENDIF
691	IF ( humidity ) THEN
692	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
693	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
694	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
695	( 1.0 + 0.61 * q(nzt,j,i) ) * &
696	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
697	qswst(j,i) )
698	IF ( cloud_droplets ) THEN
699	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
700	( 1.0 + 0.61 * q(nzt,j,i) - &
701	ql(nzt,j,i) ) * tswst(j,i) + &
702	0.61 * pt(nzt,j,i) * qswst(j,i) )
703	ENDIF
704	IF ( cloud_physics ) THEN
705	!
706	!-- Formula does not work if ql(nzb) /= 0.0
707	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
708	qswst(j,i) * rmask(j,i,sr)
709	ENDIF
710	ENDIF
711	IF ( passive_scalar ) THEN
712	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
713	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
714	ENDIF
715	ENDIF
716
717	!
718	!-- Resolved fluxes (can be computed for all horizontal points)
719	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
720	!-- ---- speaking the following k-loop would have to be split up and
721	!-- rearranged according to the staggered grid.
722	DO k = nzb_s_inner(j,i), nzt
723	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
724	u(k+1,j,i) - hom(k+1,1,1,sr) )
725	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
726	v(k+1,j,i) - hom(k+1,1,2,sr) )
727	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
728	pt(k+1,j,i) - hom(k+1,1,4,sr) )
729
730	!-- Higher moments
731	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
732	rmask(j,i,sr)
733	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
734	rmask(j,i,sr)
735
736	!
737	!-- Salinity flux and density (density does not belong to here,
738	!-- but so far there is no other suitable place to calculate)
739	IF ( ocean ) THEN
740	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
741	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
742	sa(k+1,j,i) - hom(k+1,1,23,sr) )
743	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
744	rmask(j,i,sr)
745	ENDIF
746	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
747	rmask(j,i,sr)
748	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
749	rmask(j,i,sr)
750	ENDIF
751
752	!
753	!-- Buoyancy flux, water flux, humidity flux, liquid water
754	!-- content, rain drop concentration and rain water content
755	IF ( humidity ) THEN
756	IF ( cloud_physics .OR. cloud_droplets ) THEN
757	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
758	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
759	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
760	rmask(j,i,sr)
761	IF ( .NOT. cloud_droplets ) THEN
762	pts = 0.5 * &
763	( ( q(k,j,i) - ql(k,j,i) ) - &
764	hom(k,1,42,sr) + &
765	( q(k+1,j,i) - ql(k+1,j,i) ) - &
766	hom(k+1,1,42,sr) )
767	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
768	rmask(j,i,sr)
769	IF ( icloud_scheme == 0 ) THEN
770	sums_l(k,54,tn) = sums_l(k,54,tn) + ( ql(k,j,i) + &
771	qr(k,j,i) ) * &
772	rmask(j,i,sr)
773	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
774	rmask(j,i,sr)
775	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
776	rmask(j,i,sr)
777	sums_l(k,75,tn) = sums_l(k,75,tn) + ql(k,j,i) * &
778	rmask(j,i,sr)
779	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * &
780	rmask(j,i,sr)
781	ELSE
782	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
783	rmask(j,i,sr)
784	ENDIF
785	ELSE
786	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
787	rmask(j,i,sr)
788	ENDIF
789	ELSE
790	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
791	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
792	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
793	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
794	rmask(j,i,sr)
795	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
796	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * &
797	sums_l(k,17,tn) + &
798	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
799	END IF
800	END IF
801	ENDIF
802	!
803	!-- Passive scalar flux
804	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
805	.OR. sr /= 0 ) ) THEN
806	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
807	q(k+1,j,i) - hom(k+1,1,41,sr) )
808	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
809	rmask(j,i,sr)
810	ENDIF
811
812	!
813	!-- Energy flux we
814	!-- has to be adjusted
815	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
816	( ust2 + vst2 + w(k,j,i)**2 )&
817	* rmask(j,i,sr)
818	ENDDO
819	ENDDO
820	ENDDO
821	!
822	!-- For speed optimization fluxes which have been computed in part directly
823	!-- inside the WS advection routines are treated seperatly
824	!-- Momentum fluxes first:
825	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
826	!$OMP DO
827	DO i = nxl, nxr
828	DO j = nys, nyn
829	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
830	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
831	u(k+1,j,i) - hom(k+1,1,1,sr) )
832	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
833	v(k+1,j,i) - hom(k+1,1,2,sr) )
834	!
835	!-- Momentum flux wu
836	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
837	( w(k,j,i-1) + w(k,j,i) ) &
838	* ust * rmask(j,i,sr)
839	!
840	!-- Momentum flux wv
841	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
842	( w(k,j-1,i) + w(k,j,i) ) &
843	* vst * rmask(j,i,sr)
844	ENDDO
845	ENDDO
846	ENDDO
847
848	ENDIF
849	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
850	!$OMP DO
851	DO i = nxl, nxr
852	DO j = nys, nyn
853	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
854	!
855	!-- Vertical heat flux
856	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
857	( pt(k,j,i) - hom(k,1,4,sr) + &
858	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
859	* w(k,j,i) * rmask(j,i,sr)
860	IF ( humidity ) THEN
861	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
862	q(k+1,j,i) - hom(k+1,1,41,sr) )
863	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
864	rmask(j,i,sr)
865	ENDIF
866	ENDDO
867	ENDDO
868	ENDDO
869
870	ENDIF
871
872
873	!
874	!-- Density at top follows Neumann condition
875	IF ( ocean ) THEN
876	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
877	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
878	ENDIF
879
880	!
881	!-- Divergence of vertical flux of resolved scale energy and pressure
882	!-- fluctuations as well as flux of pressure fluctuation itself (68).
883	!-- First calculate the products, then the divergence.
884	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
885	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
886
887	sums_ll = 0.0 ! local array
888
889	!$OMP DO
890	DO i = nxl, nxr
891	DO j = nys, nyn
892	DO k = nzb_s_inner(j,i)+1, nzt
893
894	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
895	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
896	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
897	) )**2 &
898	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
899	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
900	) )**2 &
901	+ w(k,j,i)**2 )
902
903	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
904	* ( p(k,j,i) + p(k+1,j,i) )
905
906	ENDDO
907	ENDDO
908	ENDDO
909	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
910	sums_ll(nzt+1,1) = 0.0
911	sums_ll(0,2) = 0.0
912	sums_ll(nzt+1,2) = 0.0
913
914	DO k = nzb+1, nzt
915	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
916	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
917	sums_l(k,68,tn) = sums_ll(k,2)
918	ENDDO
919	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
920	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
921	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
922
923	ENDIF
924
925	!
926	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
927	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
928
929	!$OMP DO
930	DO i = nxl, nxr
931	DO j = nys, nyn
932	DO k = nzb_s_inner(j,i)+1, nzt
933
934	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
935	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
936	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
937	) * ddzw(k)
938
939	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
940	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
941	)
942
943	ENDDO
944	ENDDO
945	ENDDO
946	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
947	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
948
949	ENDIF
950
951	!
952	!-- Horizontal heat fluxes (subgrid, resolved, total).
953	!-- Do it only, if profiles shall be plotted.
954	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
955
956	!$OMP DO
957	DO i = nxl, nxr
958	DO j = nys, nyn
959	DO k = nzb_s_inner(j,i)+1, nzt
960	!
961	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
962	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
963	( kh(k,j,i) + kh(k,j,i-1) ) &
964	* ( pt(k,j,i-1) - pt(k,j,i) ) &
965	* ddx * rmask(j,i,sr)
966	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
967	( kh(k,j,i) + kh(k,j-1,i) ) &
968	* ( pt(k,j-1,i) - pt(k,j,i) ) &
969	* ddy * rmask(j,i,sr)
970	!
971	!-- Resolved horizontal heat fluxes upt, vpt
972	sums_l(k,59,tn) = sums_l(k,59,tn) + &
973	( u(k,j,i) - hom(k,1,1,sr) ) &
974	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
975	pt(k,j,i) - hom(k,1,4,sr) )
976	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
977	pt(k,j,i) - hom(k,1,4,sr) )
978	sums_l(k,62,tn) = sums_l(k,62,tn) + &
979	( v(k,j,i) - hom(k,1,2,sr) ) &
980	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
981	pt(k,j,i) - hom(k,1,4,sr) )
982	ENDDO
983	ENDDO
984	ENDDO
985	!
986	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
987	sums_l(nzb,58,tn) = 0.0
988	sums_l(nzb,59,tn) = 0.0
989	sums_l(nzb,60,tn) = 0.0
990	sums_l(nzb,61,tn) = 0.0
991	sums_l(nzb,62,tn) = 0.0
992	sums_l(nzb,63,tn) = 0.0
993
994	ENDIF
995
996	!
997	!-- Calculate the user-defined profiles
998	CALL user_statistics( 'profiles', sr, tn )
999	!$OMP END PARALLEL
1000
1001	!
1002	!-- Summation of thread sums
1003	IF ( threads_per_task > 1 ) THEN
1004	DO i = 1, threads_per_task-1
1005	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1006	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1007	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1008	sums_l(:,45:pr_palm,i)
1009	IF ( max_pr_user > 0 ) THEN
1010	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1011	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1012	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1013	ENDIF
1014	ENDDO
1015	ENDIF
1016
1017	#if defined( __parallel )
1018
1019	!
1020	!-- Compute total sum from local sums
1021	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1022	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1023	MPI_SUM, comm2d, ierr )
1024	#else
1025	sums = sums_l(:,:,0)
1026	#endif
1027
1028	!
1029	!-- Final values are obtained by division by the total number of grid points
1030	!-- used for summation. After that store profiles.
1031	!-- Profiles:
1032	DO k = nzb, nzt+1
1033	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1034	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1035	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1036	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1037	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1038	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1039	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1040	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1041	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1042	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1043	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1044	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1045	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
1046	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
1047	ENDDO
1048
1049	!-- Upstream-parts
1050	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
1051	!-- u* and so on
1052	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1053	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1054	!-- above the topography, they are being divided by ngp_2dh(sr)
1055	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1056	ngp_2dh(sr)
1057	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1058	ngp_2dh(sr)
1059	!-- eges, e*
1060	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1061	ngp_3d(sr)
1062	!-- Old and new divergence
1063	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1064	ngp_3d_inner(sr)
1065
1066	!-- User-defined profiles
1067	IF ( max_pr_user > 0 ) THEN
1068	DO k = nzb, nzt+1
1069	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1070	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1071	ngp_2dh_s_inner(k,sr)
1072	ENDDO
1073	ENDIF
1074
1075	!
1076	!-- Collect horizontal average in hom.
1077	!-- Compute deduced averages (e.g. total heat flux)
1078	hom(:,1,3,sr) = sums(:,3) ! w
1079	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1080	hom(:,1,9,sr) = sums(:,9) ! km
1081	hom(:,1,10,sr) = sums(:,10) ! kh
1082	hom(:,1,11,sr) = sums(:,11) ! l
1083	hom(:,1,12,sr) = sums(:,12) ! w"u"
1084	hom(:,1,13,sr) = sums(:,13) ! wu
1085	hom(:,1,14,sr) = sums(:,14) ! w"v"
1086	hom(:,1,15,sr) = sums(:,15) ! wv
1087	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1088	hom(:,1,17,sr) = sums(:,17) ! wpt
1089	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1090	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1091	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1092	hom(:,1,21,sr) = sums(:,21) ! wptBC
1093	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1094	! profile 24 is initial profile (sa)
1095	! profiles 25-29 left empty for initial
1096	! profiles
1097	hom(:,1,30,sr) = sums(:,30) ! u*2
1098	hom(:,1,31,sr) = sums(:,31) ! v*2
1099	hom(:,1,32,sr) = sums(:,32) ! w*2
1100	hom(:,1,33,sr) = sums(:,33) ! pt*2
1101	hom(:,1,34,sr) = sums(:,34) ! e*
1102	hom(:,1,35,sr) = sums(:,35) ! w2pt
1103	hom(:,1,36,sr) = sums(:,36) ! wpt2
1104	hom(:,1,37,sr) = sums(:,37) ! we
1105	hom(:,1,38,sr) = sums(:,38) ! w*3
1106	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
1107	hom(:,1,40,sr) = sums(:,40) ! p
1108	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1109	hom(:,1,46,sr) = sums(:,46) ! wvpt
1110	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1111	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1112	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1113	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1114	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1115	hom(:,1,52,sr) = sums(:,52) ! wqv
1116	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1117	hom(:,1,54,sr) = sums(:,54) ! ql
1118	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1119	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1120	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
1121	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1122	hom(:,1,59,sr) = sums(:,59) ! upt
1123	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1124	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1125	hom(:,1,62,sr) = sums(:,62) ! vpt
1126	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1127	hom(:,1,64,sr) = sums(:,64) ! rho
1128	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1129	hom(:,1,66,sr) = sums(:,66) ! wsa
1130	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1131	hom(:,1,68,sr) = sums(:,68) ! wp
1132	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
1133	hom(:,1,70,sr) = sums(:,70) ! q*2
1134	hom(:,1,71,sr) = sums(:,71) ! prho
1135	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
1136	hom(:,1,73,sr) = sums(:,73) ! nr
1137	hom(:,1,74,sr) = sums(:,74) ! qr
1138	hom(:,1,75,sr) = sums(:,75) ! qc
1139	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1140
1141	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
1142	! upstream-parts u_x, u_y, u_z, v_x,
1143	! v_y, usw. (in last but one profile)
1144	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
1145	! u, w'u', w'v', t (in last profile)
1146
1147	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
1148	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
1149	sums(:,pr_palm+1:pr_palm+max_pr_user)
1150	ENDIF
1151
1152	!
1153	!-- Determine the boundary layer height using two different schemes.
1154	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
1155	!-- first relative minimum (maximum) of the total heat flux.
1156	!-- The corresponding height is assumed as the boundary layer height, if it
1157	!-- is less than 1.5 times the height where the heat flux becomes negative
1158	!-- (positive) for the first time.
1159	z_i(1) = 0.0
1160	first = .TRUE.
1161
1162	IF ( ocean ) THEN
1163	DO k = nzt, nzb+1, -1
1164	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
1165	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
1166	first = .FALSE.
1167	height = zw(k)
1168	ENDIF
1169	IF ( hom(k,1,18,sr) < 0.0 .AND. &
1170	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
1171	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
1172	IF ( zw(k) < 1.5 * height ) THEN
1173	z_i(1) = zw(k)
1174	ELSE
1175	z_i(1) = height
1176	ENDIF
1177	EXIT
1178	ENDIF
1179	ENDDO
1180	ELSE
1181	DO k = nzb, nzt-1
1182	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
1183	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
1184	first = .FALSE.
1185	height = zw(k)
1186	ENDIF
1187	IF ( hom(k,1,18,sr) < 0.0 .AND. &
1188	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
1189	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
1190	IF ( zw(k) < 1.5 * height ) THEN
1191	z_i(1) = zw(k)
1192	ELSE
1193	z_i(1) = height
1194	ENDIF
1195	EXIT
1196	ENDIF
1197	ENDDO
1198	ENDIF
1199
1200	!
1201	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
1202	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
1203	!-- maximal local temperature gradient: starting from the second (the last
1204	!-- but one) vertical gridpoint, the local gradient must be at least
1205	!-- 0.2K/100m and greater than the next four gradients.
1206	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
1207	!-- ocean case!
1208	z_i(2) = 0.0
1209	DO k = nzb+1, nzt+1
1210	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
1211	ENDDO
1212	dptdz_threshold = 0.2 / 100.0
1213
1214	IF ( ocean ) THEN
1215	DO k = nzt+1, nzb+5, -1
1216	IF ( dptdz(k) > dptdz_threshold .AND. &
1217	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
1218	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
1219	z_i(2) = zw(k-1)
1220	EXIT
1221	ENDIF
1222	ENDDO
1223	ELSE
1224	DO k = nzb+1, nzt-3
1225	IF ( dptdz(k) > dptdz_threshold .AND. &
1226	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
1227	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
1228	z_i(2) = zw(k-1)
1229	EXIT
1230	ENDIF
1231	ENDDO
1232	ENDIF
1233
1234	hom(nzb+6,1,pr_palm,sr) = z_i(1)
1235	hom(nzb+7,1,pr_palm,sr) = z_i(2)
1236
1237	!
1238	!-- Computation of both the characteristic vertical velocity and
1239	!-- the characteristic convective boundary layer temperature.
1240	!-- The horizontal average at nzb+1 is input for the average temperature.
1241	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
1242	.AND. z_i(1) /= 0.0 ) THEN
1243	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
1244	hom(nzb,1,18,sr) * &
1245	ABS( z_i(1) ) )**0.333333333
1246	!-- so far this only works if Prandtl layer is used
1247	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
1248	ELSE
1249	hom(nzb+8,1,pr_palm,sr) = 0.0
1250	hom(nzb+11,1,pr_palm,sr) = 0.0
1251	ENDIF
1252
1253	!
1254	!-- Collect the time series quantities
1255	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
1256	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
1257	ts_value(3,sr) = dt_3d
1258	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
1259	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
1260	ts_value(6,sr) = u_max
1261	ts_value(7,sr) = v_max
1262	ts_value(8,sr) = w_max
1263	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
1264	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
1265	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
1266	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
1267	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
1268	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
1269	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
1270	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
1271	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
1272	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
1273	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
1274	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
1275	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
1276
1277	IF ( ts_value(5,sr) /= 0.0 ) THEN
1278	ts_value(22,sr) = ts_value(4,sr)**2 / &
1279	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
1280	ELSE
1281	ts_value(22,sr) = 10000.0
1282	ENDIF
1283
1284	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
1285	!
1286	!-- Calculate additional statistics provided by the user interface
1287	CALL user_statistics( 'time_series', sr, 0 )
1288
1289	ENDDO ! loop of the subregions
1290
1291	!
1292	!-- If required, sum up horizontal averages for subsequent time averaging
1293	IF ( do_sum ) THEN
1294	IF ( average_count_pr == 0 ) hom_sum = 0.0
1295	hom_sum = hom_sum + hom(:,1,:,:)
1296	average_count_pr = average_count_pr + 1
1297	do_sum = .FALSE.
1298	ENDIF
1299
1300	!
1301	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
1302	!-- This flag is reset after each time step in time_integration.
1303	flow_statistics_called = .TRUE.
1304
1305	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
1306
1307
1308	END SUBROUTINE flow_statistics

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