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source: palm/trunk/SOURCE/flow_statistics.f90 @ 697

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

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