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source: palm/trunk/SOURCE/flow_statistics.f90 @ 709

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

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