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flow_statistics.f90 @ 678

Last change on this file since 678 was 678, checked in by raasch, 13 years ago

New:
---

further adjustments on Tsubame and concerning openMP usage
(mrun, mbuild, subjob)

Changed:

Errors:

Bugfix in calculation of divergence of vertical flux of resolved scale
energy, pressure fluctuations, and flux of pressure fluctuation itself
(flow statistics)

Bugfix: module pegrid was missing. (user_statistics)

Property svn:keywords set to Id

File size: 51.6 KB

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

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