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source: palm/trunk/SOURCE/flow_statistics.f90 @ 672

Last change on this file since 672 was 668, checked in by suehring, 13 years ago
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1	SUBROUTINE flow_statistics
2
3	!------------------------------------------------------------------------------!
4	! Current revisions:
5	! -----------------
6	! When advection is computed with ws-scheme, turbulent fluxes are already
7	! computed in the respective advection routines and buffered in arrays
8	! sums_xx_ws_l(). This is due to a consistent treatment of statistics with the
9	! numerics and to avoid unphysical kinks near the surface.
10	! So some if requests has to be done to dicern between fluxes from ws-scheme
11	! other advection schemes.
12	! Furthermore the computation of z_i is only done if the heat flux exceeds a
13	! minimum value. This affects only simulations of a neutral boundary layer and
14	! is due to reasons of computations in the advection scheme.
15	!
16	!
17	! Former revisions:
18	! -----------------
19	! $Id: flow_statistics.f90 668 2010-12-23 13:22:58Z heinze $
20	!
21	! 667 2010-12-23 12:06:00Z suehring/gryschka
22	! When advection is computed with ws-scheme, turbulent fluxes are already
23	! computed in the respective advection routines and buffered in arrays
24	! sums_xx_ws_l(). This is due to a consistent treatment of statistics with the
25	! numerics and to avoid unphysical kinks near the surface.
26	! So some if requests has to be done to dicern between fluxes from ws-scheme
27	! other advection schemes.
28	! Furthermore the computation of z_i is only done if the heat flux exceeds a
29	! minimum value. This affects only simulations of a neutral boundary layer and
30	! is due to reasons of computations in the advection scheme.
31	!
32	! 624 2010-12-10 11:46:30Z heinze
33	! Calculation of q*2 added
34	!
35	! 622 2010-12-10 08:08:13Z raasch
36	! optional barriers included in order to speed up collective operations
37	!
38	! 388 2009-09-23 09:40:33Z raasch
39	! Vertical profiles of potential density and hydrostatic pressure are
40	! calculated.
41	! Added missing timeseries calculation of w"q"(0), moved timeseries q* to the
42	! end.
43	! Temperature gradient criterion for estimating the boundary layer height
44	! replaced by the gradient criterion of Sullivan et al. (1998).
45	! Output of messages replaced by message handling routine.
46	!
47	! 197 2008-09-16 15:29:03Z raasch
48	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
49	! added,
50	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
51	! (like other scalars)
52	!
53	! 133 2007-11-20 10:10:53Z letzel
54	! Vertical profiles now based on nzb_s_inner; they are divided by
55	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
56	! velocity components and their products, procucts of scalars and velocity
57	! components), respectively.
58	!
59	! 106 2007-08-16 14:30:26Z raasch
60	! Prescribed momentum fluxes at the top surface are used,
61	! profiles for wp and w"e are calculated
62	!
63	! 97 2007-06-21 08:23:15Z raasch
64	! Statistics for ocean version (salinity, density) added,
65	! calculation of z_i and Deardorff velocity scale adjusted to be used with
66	! the ocean version
67	!
68	! 87 2007-05-22 15:46:47Z raasch
69	! Two more arguments added to user_statistics, which is now also called for
70	! user-defined profiles,
71	! var_hom and var_sum renamed pr_palm
72	!
73	! 82 2007-04-16 15:40:52Z raasch
74	! Cpp-directive lcmuk changed to intel_openmp_bug
75	!
76	! 75 2007-03-22 09:54:05Z raasch
77	! Collection of time series quantities moved from routine flow_statistics to
78	! here, routine user_statistics is called for each statistic region,
79	! moisture renamed humidity
80	!
81	! 19 2007-02-23 04:53:48Z raasch
82	! fluxes at top modified (tswst, qswst)
83	!
84	! RCS Log replace by Id keyword, revision history cleaned up
85	!
86	! Revision 1.41 2006/08/04 14:37:50 raasch
87	! Error removed in non-parallel part (sums_l)
88	!
89	! Revision 1.1 1997/08/11 06:15:17 raasch
90	! Initial revision
91	!
92	!
93	! Description:
94	! ------------
95	! Compute average profiles and further average flow quantities for the different
96	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
97	!
98	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
99	! ---- lower vertical index for k-loops for all variables, although strictly
100	! speaking the k-loops would have to be split up according to the staggered
101	! grid. However, this implies no error since staggered velocity components are
102	! zero at the walls and inside buildings.
103	!------------------------------------------------------------------------------!
104
105	USE arrays_3d
106	USE cloud_parameters
107	USE cpulog
108	USE grid_variables
109	USE indices
110	USE interfaces
111	USE pegrid
112	USE statistics
113	USE control_parameters
114
115	IMPLICIT NONE
116
117	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
118	LOGICAL :: first
119	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
120	ust2, u2, vst, vst2, v2, w2, z_i(2)
121	REAL :: dptdz(nzb+1:nzt+1)
122	REAL :: sums_ll(nzb:nzt+1,2)
123
124	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
125
126	!
127	!-- To be on the safe side, check whether flow_statistics has already been
128	!-- called once after the current time step
129	IF ( flow_statistics_called ) THEN
130
131	message_string = 'flow_statistics is called two times within one ' // &
132	'timestep'
133	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
134
135	ENDIF
136
137	!
138	!-- Compute statistics for each (sub-)region
139	DO sr = 0, statistic_regions
140
141	!
142	!-- Initialize (local) summation array
143	sums_l = 0.0
144
145	!
146	!-- Store sums that have been computed in other subroutines in summation
147	!-- array
148	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
149	!-- WARNING: next line still has to be adjusted for OpenMP
150	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
151	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
152	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
153
154	!
155	!-- Copy the turbulent quantities, evaluated in the advection routines to
156	!-- the local array sums_l() for further computations
157	IF ( ws_scheme_mom ) THEN
158	!
159	!-- Boundary condition for u'u' and v'v', because below the surface no
160	!-- computation for these quantities is done.
161	DO i = nxl, nxr
162	DO j = nys, nyn
163	sums_us2_ws_l(nzb_u_inner(j,i),sr) = &
164	sums_us2_ws_l(nzb_u_inner(j,i)+1,sr)
165	sums_vs2_ws_l(nzb_v_inner(j,i),sr) = &
166	sums_vs2_ws_l(nzb_v_inner(j,i)+1,sr)
167	ENDDO
168	ENDDO
169	!
170	!-- Swap the turbulent quantities evaluated in advec_ws.
171	sums_l(:,13,0) = sums_wsus_ws_l(:,sr) ! wu
172	sums_l(:,15,0) = sums_wsvs_ws_l(:,sr) ! wv
173	sums_l(:,30,0) = sums_us2_ws_l(:,sr) ! u*2
174	sums_l(:,31,0) = sums_vs2_ws_l(:,sr) ! v*2
175	sums_l(:,32,0) = sums_ws2_ws_l(:,sr) ! w*2
176	sums_l(:,34,0) = sums_l(:,34,0) + 0.5 * &
177	(sums_us2_ws_l(:,sr) + sums_vs2_ws_l(:,sr) &
178	+ sums_ws2_ws_l(:,sr)) ! e*
179	DO k = nzb, nzt
180	sums_l(nzb+5,pr_palm,0) = sums_l(nzb+5,pr_palm,0) + 0.5 * ( &
181	sums_us2_ws_l(k,sr) + sums_vs2_ws_l(k,sr) + &
182	sums_ws2_ws_l(k,sr))
183	ENDDO
184	ENDIF
185	IF ( ws_scheme_sca ) THEN
186	sums_l(:,17,0) = sums_wspts_ws_l(:,sr) ! wpts from advec_s_ws
187	IF ( ocean ) sums_l(:,66,0) = sums_wssas_ws_l(:,sr) ! wsa
188	IF ( humidity .OR. passive_scalar ) sums_l(:,49,0) = &
189	sums_wsqs_ws_l(:,sr) !wq
190	ENDIF
191	!
192	!-- Horizontally averaged profiles of horizontal velocities and temperature.
193	!-- They must have been computed before, because they are already required
194	!-- for other horizontal averages.
195	tn = 0
196
197	!$OMP PARALLEL PRIVATE( i, j, k, tn )
198	#if defined( __intel_openmp_bug )
199	tn = omp_get_thread_num()
200	#else
201	!$ tn = omp_get_thread_num()
202	#endif
203
204	!$OMP DO
205	DO i = nxl, nxr
206	DO j = nys, nyn
207	DO k = nzb_s_inner(j,i), nzt+1
208	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
209	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
210	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
211	ENDDO
212	ENDDO
213	ENDDO
214
215	!
216	!-- Horizontally averaged profile of salinity
217	IF ( ocean ) THEN
218	!$OMP DO
219	DO i = nxl, nxr
220	DO j = nys, nyn
221	DO k = nzb_s_inner(j,i), nzt+1
222	sums_l(k,23,tn) = sums_l(k,23,tn) + &
223	sa(k,j,i) * rmask(j,i,sr)
224	ENDDO
225	ENDDO
226	ENDDO
227	ENDIF
228
229	!
230	!-- Horizontally averaged profiles of virtual potential temperature,
231	!-- total water content, specific humidity and liquid water potential
232	!-- temperature
233	IF ( humidity ) THEN
234	!$OMP DO
235	DO i = nxl, nxr
236	DO j = nys, nyn
237	DO k = nzb_s_inner(j,i), nzt+1
238	sums_l(k,44,tn) = sums_l(k,44,tn) + &
239	vpt(k,j,i) * rmask(j,i,sr)
240	sums_l(k,41,tn) = sums_l(k,41,tn) + &
241	q(k,j,i) * rmask(j,i,sr)
242	ENDDO
243	ENDDO
244	ENDDO
245	IF ( cloud_physics ) THEN
246	!$OMP DO
247	DO i = nxl, nxr
248	DO j = nys, nyn
249	DO k = nzb_s_inner(j,i), nzt+1
250	sums_l(k,42,tn) = sums_l(k,42,tn) + &
251	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
252	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
253	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
254	) * rmask(j,i,sr)
255	ENDDO
256	ENDDO
257	ENDDO
258	ENDIF
259	ENDIF
260
261	!
262	!-- Horizontally averaged profiles of passive scalar
263	IF ( passive_scalar ) THEN
264	!$OMP DO
265	DO i = nxl, nxr
266	DO j = nys, nyn
267	DO k = nzb_s_inner(j,i), nzt+1
268	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
269	ENDDO
270	ENDDO
271	ENDDO
272	ENDIF
273	!$OMP END PARALLEL
274	!
275	!-- Summation of thread sums
276	IF ( threads_per_task > 1 ) THEN
277	DO i = 1, threads_per_task-1
278	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
279	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
280	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
281	IF ( ocean ) THEN
282	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
283	ENDIF
284	IF ( humidity ) THEN
285	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
286	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
287	IF ( cloud_physics ) THEN
288	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
289	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
290	ENDIF
291	ENDIF
292	IF ( passive_scalar ) THEN
293	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
294	ENDIF
295	ENDDO
296	ENDIF
297
298	#if defined( __parallel )
299	!
300	!-- Compute total sum from local sums
301	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
302	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
303	MPI_SUM, comm2d, ierr )
304	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
305	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
306	MPI_SUM, comm2d, ierr )
307	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
308	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
309	MPI_SUM, comm2d, ierr )
310	IF ( ocean ) THEN
311	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
312	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
313	MPI_REAL, MPI_SUM, comm2d, ierr )
314	ENDIF
315	IF ( humidity ) THEN
316	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
317	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
318	MPI_REAL, MPI_SUM, comm2d, ierr )
319	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
320	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
321	MPI_REAL, MPI_SUM, comm2d, ierr )
322	IF ( cloud_physics ) THEN
323	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
324	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
325	MPI_REAL, MPI_SUM, comm2d, ierr )
326	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
327	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
328	MPI_REAL, MPI_SUM, comm2d, ierr )
329	ENDIF
330	ENDIF
331
332	IF ( passive_scalar ) THEN
333	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
334	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
335	MPI_REAL, MPI_SUM, comm2d, ierr )
336	ENDIF
337	#else
338	sums(:,1) = sums_l(:,1,0)
339	sums(:,2) = sums_l(:,2,0)
340	sums(:,4) = sums_l(:,4,0)
341	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
342	IF ( humidity ) THEN
343	sums(:,44) = sums_l(:,44,0)
344	sums(:,41) = sums_l(:,41,0)
345	IF ( cloud_physics ) THEN
346	sums(:,42) = sums_l(:,42,0)
347	sums(:,43) = sums_l(:,43,0)
348	ENDIF
349	ENDIF
350	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
351	#endif
352
353	!
354	!-- Final values are obtained by division by the total number of grid points
355	!-- used for summation. After that store profiles.
356	sums(:,1) = sums(:,1) / ngp_2dh(sr)
357	sums(:,2) = sums(:,2) / ngp_2dh(sr)
358	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
359	hom(:,1,1,sr) = sums(:,1) ! u
360	hom(:,1,2,sr) = sums(:,2) ! v
361	hom(:,1,4,sr) = sums(:,4) ! pt
362
363
364	!
365	!-- Salinity
366	IF ( ocean ) THEN
367	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
368	hom(:,1,23,sr) = sums(:,23) ! sa
369	ENDIF
370
371	!
372	!-- Humidity and cloud parameters
373	IF ( humidity ) THEN
374	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
375	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
376	hom(:,1,44,sr) = sums(:,44) ! vpt
377	hom(:,1,41,sr) = sums(:,41) ! qv (q)
378	IF ( cloud_physics ) THEN
379	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
380	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
381	hom(:,1,42,sr) = sums(:,42) ! qv
382	hom(:,1,43,sr) = sums(:,43) ! pt
383	ENDIF
384	ENDIF
385
386	!
387	!-- Passive scalar
388	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
389	ngp_2dh_s_inner(:,sr) ! s (q)
390
391	!
392	!-- Horizontally averaged profiles of the remaining prognostic variables,
393	!-- variances, the total and the perturbation energy (single values in last
394	!-- column of sums_l) and some diagnostic quantities.
395	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
396	!-- ---- speaking the following k-loop would have to be split up and
397	!-- rearranged according to the staggered grid.
398	!-- However, this implies no error since staggered velocity components
399	!-- are zero at the walls and inside buildings.
400	tn = 0
401	#if defined( __intel_openmp_bug )
402	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
403	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
404	tn = omp_get_thread_num()
405	#else
406	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
407	!$ tn = omp_get_thread_num()
408	#endif
409	!$OMP DO
410	DO i = nxl, nxr
411	DO j = nys, nyn
412	sums_l_etot = 0.0
413	DO k = nzb_s_inner(j,i), nzt+1
414	!
415	!-- Prognostic and diagnostic variables
416	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
417	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
418	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
419	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
420	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
421
422	sums_l(k,33,tn) = sums_l(k,33,tn) + &
423	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
424
425	IF ( humidity ) THEN
426	sums_l(k,70,tn) = sums_l(k,70,tn) + &
427	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
428	ENDIF
429
430	sums_l_etot = sums_l_etot + &
431	0.5 * ( u(k,j,i)2 + v(k,j,i)2 + &
432	w(k,j,i)*2 ) rmask(j,i,sr)
433	ENDDO
434	!
435	!-- Total and perturbation energy for the total domain (being
436	!-- collected in the last column of sums_l). Summation of these
437	!-- quantities is seperated from the previous loop in order to
438	!-- allow vectorization of that loop.
439	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
440	!
441	!-- 2D-arrays (being collected in the last column of sums_l)
442	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
443	us(j,i) * rmask(j,i,sr)
444	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
445	usws(j,i) * rmask(j,i,sr)
446	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
447	vsws(j,i) * rmask(j,i,sr)
448	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
449	ts(j,i) * rmask(j,i,sr)
450	IF ( humidity ) THEN
451	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
452	qs(j,i) * rmask(j,i,sr)
453	ENDIF
454	ENDDO
455	ENDDO
456
457	!
458	!-- Computation of statistics when ws-scheme is not used. Else these
459	!-- quantities are evaluated in the advection routines.
460	IF ( .NOT. ws_scheme_mom ) THEN
461	!$OMP DO
462	DO i = nxl, nxr
463	DO j = nys, nyn
464	sums_l_eper = 0.0
465	DO k = nzb_s_inner(j,i), nzt+1
466	u2 = u(k,j,i)**2
467	v2 = v(k,j,i)**2
468	w2 = w(k,j,i)**2
469	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
470	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
471
472	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
473	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
474	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
475	!
476	!-- Higher moments
477	!-- (Computation of the skewness of w further below)
478	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i) * w2 * &
479	rmask(j,i,sr)
480	!
481	!-- Perturbation energy
482
483	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * &
484	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
485	sums_l_eper = sums_l_eper + &
486	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
487
488	ENDDO
489	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
490	+ sums_l_eper
491	ENDDO
492	ENDDO
493	ELSE
494	!$OMP DO
495	DO i = nxl, nxr
496	DO j = nys, nyn
497	DO k = nzb_s_inner(j,i), nzt + 1
498	w2 = w(k,j,i)**2
499	!
500	!-- Higher moments
501	!-- (Computation of the skewness of w further below)
502	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i) * w2 * &
503	rmask(j,i,sr)
504	ENDDO
505	ENDDO
506	ENDDO
507	ENDIF
508
509	!
510	!-- Horizontally averaged profiles of the vertical fluxes
511
512	!$OMP DO
513	DO i = nxl, nxr
514	DO j = nys, nyn
515	!
516	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
517	!-- oterwise from k=nzb+1)
518	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
519	!-- ---- strictly speaking the following k-loop would have to be
520	!-- split up according to the staggered grid.
521	!-- However, this implies no error since staggered velocity
522	!-- components are zero at the walls and inside buildings.
523
524	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
525	!
526	!-- Momentum flux w"u"
527	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
528	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
529	) * ( &
530	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
531	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
532	) * rmask(j,i,sr)
533	!
534	!-- Momentum flux w"v"
535	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
536	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
537	) * ( &
538	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
539	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
540	) * rmask(j,i,sr)
541	!
542	!-- Heat flux w"pt"
543	sums_l(k,16,tn) = sums_l(k,16,tn) &
544	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
545	* ( pt(k+1,j,i) - pt(k,j,i) ) &
546	* ddzu(k+1) * rmask(j,i,sr)
547
548
549	!
550	!-- Salinity flux w"sa"
551	IF ( ocean ) THEN
552	sums_l(k,65,tn) = sums_l(k,65,tn) &
553	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
554	* ( sa(k+1,j,i) - sa(k,j,i) ) &
555	* ddzu(k+1) * rmask(j,i,sr)
556	ENDIF
557
558	!
559	!-- Buoyancy flux, water flux (humidity flux) w"q"
560	IF ( humidity ) THEN
561	sums_l(k,45,tn) = sums_l(k,45,tn) &
562	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
563	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
564	* ddzu(k+1) * rmask(j,i,sr)
565	sums_l(k,48,tn) = sums_l(k,48,tn) &
566	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
567	* ( q(k+1,j,i) - q(k,j,i) ) &
568	* ddzu(k+1) * rmask(j,i,sr)
569	IF ( cloud_physics ) THEN
570	sums_l(k,51,tn) = sums_l(k,51,tn) &
571	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
572	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
573	- ( q(k,j,i) - ql(k,j,i) ) ) &
574	* ddzu(k+1) * rmask(j,i,sr)
575	ENDIF
576	ENDIF
577
578	!
579	!-- Passive scalar flux
580	IF ( passive_scalar ) THEN
581	sums_l(k,48,tn) = sums_l(k,48,tn) &
582	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
583	* ( q(k+1,j,i) - q(k,j,i) ) &
584	* ddzu(k+1) * rmask(j,i,sr)
585	ENDIF
586
587	ENDDO
588
589	!
590	!-- Subgridscale fluxes in the Prandtl layer
591	IF ( use_surface_fluxes ) THEN
592	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
593	usws(j,i) * rmask(j,i,sr) ! w"u"
594	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
595	vsws(j,i) * rmask(j,i,sr) ! w"v"
596	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
597	shf(j,i) * rmask(j,i,sr) ! w"pt"
598	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
599	0.0 * rmask(j,i,sr) ! u"pt"
600	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
601	0.0 * rmask(j,i,sr) ! v"pt"
602	IF ( ocean ) THEN
603	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
604	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
605	ENDIF
606	IF ( humidity ) THEN
607	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
608	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
609	IF ( cloud_physics ) THEN
610	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
611	( 1.0 + 0.61 * q(nzb,j,i) ) * &
612	shf(j,i) + 0.61 * pt(nzb,j,i) * &
613	qsws(j,i) &
614	)
615	!
616	!-- Formula does not work if ql(nzb) /= 0.0
617	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
618	qsws(j,i) * rmask(j,i,sr)
619	ENDIF
620	ENDIF
621	IF ( passive_scalar ) THEN
622	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
623	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
624	ENDIF
625	ENDIF
626
627	!
628	!-- Subgridscale fluxes at the top surface
629	IF ( use_top_fluxes ) THEN
630	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
631	uswst(j,i) * rmask(j,i,sr) ! w"u"
632	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
633	vswst(j,i) * rmask(j,i,sr) ! w"v"
634	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
635	tswst(j,i) * rmask(j,i,sr) ! w"pt"
636	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
637	0.0 * rmask(j,i,sr) ! u"pt"
638	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
639	0.0 * rmask(j,i,sr) ! v"pt"
640
641	IF ( ocean ) THEN
642	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
643	saswst(j,i) * rmask(j,i,sr) ! w"sa"
644	ENDIF
645	IF ( humidity ) THEN
646	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
647	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
648	IF ( cloud_physics ) THEN
649	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
650	( 1.0 + 0.61 * q(nzt,j,i) ) * &
651	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
652	qsws(j,i) &
653	)
654	!
655	!-- Formula does not work if ql(nzb) /= 0.0
656	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
657	qswst(j,i) * rmask(j,i,sr)
658	ENDIF
659	ENDIF
660	IF ( passive_scalar ) THEN
661	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
662	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
663	ENDIF
664	ENDIF
665
666	!
667	!-- Resolved fluxes (can be computed for all horizontal points)
668	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
669	!-- ---- speaking the following k-loop would have to be split up and
670	!-- rearranged according to the staggered grid.
671	DO k = nzb_s_inner(j,i), nzt
672	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
673	u(k+1,j,i) - hom(k+1,1,1,sr) )
674	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
675	v(k+1,j,i) - hom(k+1,1,2,sr) )
676	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
677	pt(k+1,j,i) - hom(k+1,1,4,sr) )
678
679	!-- Higher moments
680	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
681	rmask(j,i,sr)
682	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
683	rmask(j,i,sr)
684
685	!
686	!-- Salinity flux and density (density does not belong to here,
687	!-- but so far there is no other suitable place to calculate)
688	IF ( ocean ) THEN
689	IF( .NOT. ws_scheme_sca ) THEN
690	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
691	sa(k+1,j,i) - hom(k+1,1,23,sr) )
692	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
693	rmask(j,i,sr)
694	ENDIF
695	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
696	rmask(j,i,sr)
697	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
698	rmask(j,i,sr)
699	ENDIF
700
701	!
702	!-- Buoyancy flux, water flux, humidity flux and liquid water
703	!-- content
704	IF ( humidity ) THEN
705	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
706	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
707	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
708	rmask(j,i,sr)
709
710	IF ( cloud_physics .OR. cloud_droplets ) THEN
711	pts = 0.5 * &
712	( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) &
713	+ ( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) )
714	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
715	rmask(j,i,sr)
716	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
717	rmask(j,i,sr)
718	ENDIF
719	ENDIF
720
721	!
722	!-- Passive scalar flux
723	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca )) THEN
724	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
725	q(k+1,j,i) - hom(k+1,1,41,sr) )
726	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
727	rmask(j,i,sr)
728	ENDIF
729
730	!
731	!-- Energy flux we
732	!-- has to be adjusted
733	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
734	( ust2 + vst2 + w(k,j,i)**2 )&
735	* rmask(j,i,sr)
736	ENDDO
737	ENDDO
738	ENDDO
739	!- for reasons of speed optimization the loop is splitted, to avoid if-else
740	!- statements inside the loop
741	!- Fluxes which have been computed in part directly inside the advection routines
742	!- treated seperatly.
743	!- First treat the momentum fluxes
744	IF ( .NOT. ws_scheme_mom ) THEN
745	!$OMP DO
746	DO i = nxl, nxr
747	DO j = nys, nyn
748	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
749	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
750	u(k+1,j,i) - hom(k+1,1,1,sr) )
751	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
752	v(k+1,j,i) - hom(k+1,1,2,sr) )
753	!
754	!-- Momentum flux wu
755	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
756	( w(k,j,i-1) + w(k,j,i) ) &
757	* ust * rmask(j,i,sr)
758	!
759	!-- Momentum flux wv
760	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
761	( w(k,j-1,i) + w(k,j,i) ) &
762	* vst * rmask(j,i,sr)
763	ENDDO
764	ENDDO
765	ENDDO
766
767	ENDIF
768	IF ( .NOT. ws_scheme_sca ) THEN
769	!$OMP DO
770	DO i = nxl, nxr
771	DO j = nys, nyn
772	DO k = nzb_diff_s_inner(j,i) - 1, nzt_diff
773	!- vertical heat flux
774	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
775	( pt(k,j,i) - hom(k,1,4,sr) + &
776	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
777	* w(k,j,i) * rmask(j,i,sr)
778	IF ( humidity ) THEN
779	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
780	q(k+1,j,i) - hom(k+1,1,41,sr) )
781	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
782	rmask(j,i,sr)
783	ENDIF
784	ENDDO
785	ENDDO
786	ENDDO
787
788	ENDIF
789
790
791	!
792	!-- Density at top follows Neumann condition
793	IF ( ocean ) THEN
794	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
795	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
796	ENDIF
797
798	!
799	!-- Divergence of vertical flux of resolved scale energy and pressure
800	!-- fluctuations as well as flux of pressure fluctuation itself (68).
801	!-- First calculate the products, then the divergence.
802	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
803	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
804
805	sums_ll = 0.0 ! local array
806
807	!$OMP DO
808	DO i = nxl, nxr
809	DO j = nys, nyn
810	DO k = nzb_s_inner(j,i)+1, nzt
811
812	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
813	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
814	- 2.0 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
815	) )**2 &
816	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
817	- 2.0 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
818	) )**2 &
819	+ w(k,j,i)**2 )
820
821	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
822	* ( p(k,j,i) + p(k+1,j,i) )
823
824	ENDDO
825	ENDDO
826	ENDDO
827	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
828	sums_ll(nzt+1,1) = 0.0
829	sums_ll(0,2) = 0.0
830	sums_ll(nzt+1,2) = 0.0
831
832	DO k = nzb_s_inner(j,i)+1, nzt
833	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
834	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
835	sums_l(k,68,tn) = sums_ll(k,2)
836	ENDDO
837	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
838	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
839	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
840
841	ENDIF
842
843	!
844	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
845	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
846
847	!$OMP DO
848	DO i = nxl, nxr
849	DO j = nys, nyn
850	DO k = nzb_s_inner(j,i)+1, nzt
851
852	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
853	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
854	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
855	) * ddzw(k)
856
857	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
858	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
859	)
860
861	ENDDO
862	ENDDO
863	ENDDO
864	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
865	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
866
867	ENDIF
868
869	!
870	!-- Horizontal heat fluxes (subgrid, resolved, total).
871	!-- Do it only, if profiles shall be plotted.
872	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
873
874	!$OMP DO
875	DO i = nxl, nxr
876	DO j = nys, nyn
877	DO k = nzb_s_inner(j,i)+1, nzt
878	!
879	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
880	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
881	( kh(k,j,i) + kh(k,j,i-1) ) &
882	* ( pt(k,j,i-1) - pt(k,j,i) ) &
883	* ddx * rmask(j,i,sr)
884	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
885	( kh(k,j,i) + kh(k,j-1,i) ) &
886	* ( pt(k,j-1,i) - pt(k,j,i) ) &
887	* ddy * rmask(j,i,sr)
888	!
889	!-- Resolved horizontal heat fluxes upt, vpt
890	sums_l(k,59,tn) = sums_l(k,59,tn) + &
891	( u(k,j,i) - hom(k,1,1,sr) ) &
892	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
893	pt(k,j,i) - hom(k,1,4,sr) )
894	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
895	pt(k,j,i) - hom(k,1,4,sr) )
896	sums_l(k,62,tn) = sums_l(k,62,tn) + &
897	( v(k,j,i) - hom(k,1,2,sr) ) &
898	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
899	pt(k,j,i) - hom(k,1,4,sr) )
900	ENDDO
901	ENDDO
902	ENDDO
903	!
904	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
905	sums_l(nzb,58,tn) = 0.0
906	sums_l(nzb,59,tn) = 0.0
907	sums_l(nzb,60,tn) = 0.0
908	sums_l(nzb,61,tn) = 0.0
909	sums_l(nzb,62,tn) = 0.0
910	sums_l(nzb,63,tn) = 0.0
911
912	ENDIF
913
914	!
915	!-- Calculate the user-defined profiles
916	CALL user_statistics( 'profiles', sr, tn )
917	!$OMP END PARALLEL
918
919	!
920	!-- Summation of thread sums
921	IF ( threads_per_task > 1 ) THEN
922	DO i = 1, threads_per_task-1
923	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
924	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
925	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
926	sums_l(:,45:pr_palm,i)
927	IF ( max_pr_user > 0 ) THEN
928	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
929	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
930	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
931	ENDIF
932	ENDDO
933	ENDIF
934
935	#if defined( __parallel )
936
937	!
938	!-- Compute total sum from local sums
939	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
940	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
941	MPI_SUM, comm2d, ierr )
942	#else
943	sums = sums_l(:,:,0)
944	#endif
945
946	!
947	!-- Final values are obtained by division by the total number of grid points
948	!-- used for summation. After that store profiles.
949	!-- Profiles:
950	DO k = nzb, nzt+1
951	sums(k,3) = sums(k,3) / ngp_2dh(sr)
952	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
953	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
954	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
955	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
956	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
957	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
958	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
959	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
960	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
961	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
962	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
963	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
964	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
965	ENDDO
966
967	!-- Upstream-parts
968	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
969	!-- u* and so on
970	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
971	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
972	!-- above the topography, they are being divided by ngp_2dh(sr)
973	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
974	ngp_2dh(sr)
975	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
976	ngp_2dh(sr)
977	!-- eges, e*
978	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
979	ngp_3d(sr)
980	!-- Old and new divergence
981	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
982	ngp_3d_inner(sr)
983
984	!-- User-defined profiles
985	IF ( max_pr_user > 0 ) THEN
986	DO k = nzb, nzt+1
987	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
988	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
989	ngp_2dh_s_inner(k,sr)
990	ENDDO
991	ENDIF
992	!
993	!-- Collect horizontal average in hom.
994	!-- Compute deduced averages (e.g. total heat flux)
995	hom(:,1,3,sr) = sums(:,3) ! w
996	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
997	hom(:,1,9,sr) = sums(:,9) ! km
998	hom(:,1,10,sr) = sums(:,10) ! kh
999	hom(:,1,11,sr) = sums(:,11) ! l
1000	hom(:,1,12,sr) = sums(:,12) ! w"u"
1001	hom(:,1,13,sr) = sums(:,13) ! wu
1002	hom(:,1,14,sr) = sums(:,14) ! w"v"
1003	hom(:,1,15,sr) = sums(:,15) ! wv
1004	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1005	hom(:,1,17,sr) = sums(:,17) ! wpt
1006	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1007	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1008	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1009	hom(:,1,21,sr) = sums(:,21) ! wptBC
1010	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1011	! profile 24 is initial profile (sa)
1012	! profiles 25-29 left empty for initial
1013	! profiles
1014	hom(:,1,30,sr) = sums(:,30) ! u*2
1015	hom(:,1,31,sr) = sums(:,31) ! v*2
1016	hom(:,1,32,sr) = sums(:,32) ! w*2
1017	hom(:,1,33,sr) = sums(:,33) ! pt*2
1018	hom(:,1,34,sr) = sums(:,34) ! e*
1019	hom(:,1,35,sr) = sums(:,35) ! w2pt
1020	hom(:,1,36,sr) = sums(:,36) ! wpt2
1021	hom(:,1,37,sr) = sums(:,37) ! we
1022	hom(:,1,38,sr) = sums(:,38) ! w*3
1023	hom(:,1,39,sr) = sums(:,38) / ( sums(:,32) + 1E-20 )**1.5 ! Sw
1024	hom(:,1,40,sr) = sums(:,40) ! p
1025	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1026	hom(:,1,46,sr) = sums(:,46) ! wvpt
1027	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1028	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1029	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1030	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1031	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1032	hom(:,1,52,sr) = sums(:,52) ! wqv
1033	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1034	hom(:,1,54,sr) = sums(:,54) ! ql
1035	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1036	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1037	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
1038	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1039	hom(:,1,59,sr) = sums(:,59) ! upt
1040	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1041	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1042	hom(:,1,62,sr) = sums(:,62) ! vpt
1043	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1044	hom(:,1,64,sr) = sums(:,64) ! rho
1045	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1046	hom(:,1,66,sr) = sums(:,66) ! wsa
1047	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1048	hom(:,1,68,sr) = sums(:,68) ! wp
1049	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
1050	hom(:,1,70,sr) = sums(:,70) ! q*2
1051	hom(:,1,71,sr) = sums(:,71) ! prho
1052	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
1053
1054	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
1055	! upstream-parts u_x, u_y, u_z, v_x,
1056	! v_y, usw. (in last but one profile)
1057	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
1058	! u, w'u', w'v', t (in last profile)
1059
1060	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
1061	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
1062	sums(:,pr_palm+1:pr_palm+max_pr_user)
1063	ENDIF
1064
1065	!
1066	!-- Determine the boundary layer height using two different schemes.
1067	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
1068	!-- first relative minimum (maximum) of the total heat flux.
1069	!-- The corresponding height is assumed as the boundary layer height, if it
1070	!-- is less than 1.5 times the height where the heat flux becomes negative
1071	!-- (positive) for the first time.
1072	z_i(1) = 0.0
1073	first = .TRUE.
1074
1075	IF ( ocean ) THEN
1076	DO k = nzt, nzb+1, -1
1077	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
1078	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
1079	first = .FALSE.
1080	height = zw(k)
1081	ENDIF
1082	IF ( hom(k,1,18,sr) < 0.0 .AND. &
1083	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
1084	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
1085	IF ( zw(k) < 1.5 * height ) THEN
1086	z_i(1) = zw(k)
1087	ELSE
1088	z_i(1) = height
1089	ENDIF
1090	EXIT
1091	ENDIF
1092	ENDDO
1093	ELSE
1094	DO k = nzb, nzt-1
1095	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
1096	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
1097	first = .FALSE.
1098	height = zw(k)
1099	ENDIF
1100	IF ( hom(k,1,18,sr) < 0.0 .AND. &
1101	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
1102	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
1103	IF ( zw(k) < 1.5 * height ) THEN
1104	z_i(1) = zw(k)
1105	ELSE
1106	z_i(1) = height
1107	ENDIF
1108	EXIT
1109	ENDIF
1110	ENDDO
1111	ENDIF
1112
1113	!
1114	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
1115	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
1116	!-- maximal local temperature gradient: starting from the second (the last
1117	!-- but one) vertical gridpoint, the local gradient must be at least
1118	!-- 0.2K/100m and greater than the next four gradients.
1119	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
1120	!-- ocean case!
1121	z_i(2) = 0.0
1122	DO k = nzb+1, nzt+1
1123	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
1124	ENDDO
1125	dptdz_threshold = 0.2 / 100.0
1126
1127	IF ( ocean ) THEN
1128	DO k = nzt+1, nzb+5, -1
1129	IF ( dptdz(k) > dptdz_threshold .AND. &
1130	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
1131	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
1132	z_i(2) = zw(k-1)
1133	EXIT
1134	ENDIF
1135	ENDDO
1136	ELSE
1137	DO k = nzb+1, nzt-3
1138	IF ( dptdz(k) > dptdz_threshold .AND. &
1139	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
1140	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
1141	z_i(2) = zw(k-1)
1142	EXIT
1143	ENDIF
1144	ENDDO
1145	ENDIF
1146
1147	hom(nzb+6,1,pr_palm,sr) = z_i(1)
1148	hom(nzb+7,1,pr_palm,sr) = z_i(2)
1149
1150	!
1151	!-- Computation of both the characteristic vertical velocity and
1152	!-- the characteristic convective boundary layer temperature.
1153	!-- The horizontal average at nzb+1 is input for the average temperature.
1154	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
1155	.AND. z_i(1) /= 0.0 ) THEN
1156	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
1157	hom(nzb,1,18,sr) * &
1158	ABS( z_i(1) ) )**0.333333333
1159	!-- so far this only works if Prandtl layer is used
1160	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
1161	ELSE
1162	hom(nzb+8,1,pr_palm,sr) = 0.0
1163	hom(nzb+11,1,pr_palm,sr) = 0.0
1164	ENDIF
1165
1166	!
1167	!-- Collect the time series quantities
1168	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
1169	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
1170	ts_value(3,sr) = dt_3d
1171	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
1172	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
1173	ts_value(6,sr) = u_max
1174	ts_value(7,sr) = v_max
1175	ts_value(8,sr) = w_max
1176	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
1177	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
1178	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
1179	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
1180	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
1181	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
1182	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
1183	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
1184	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
1185	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
1186	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
1187	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
1188	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
1189
1190	IF ( ts_value(5,sr) /= 0.0 ) THEN
1191	ts_value(22,sr) = ts_value(4,sr)**2 / &
1192	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
1193	ELSE
1194	ts_value(22,sr) = 10000.0
1195	ENDIF
1196
1197	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
1198	!
1199	!-- Calculate additional statistics provided by the user interface
1200	CALL user_statistics( 'time_series', sr, 0 )
1201
1202	ENDDO ! loop of the subregions
1203
1204	!
1205	!-- If required, sum up horizontal averages for subsequent time averaging
1206	IF ( do_sum ) THEN
1207	IF ( average_count_pr == 0 ) hom_sum = 0.0
1208	hom_sum = hom_sum + hom(:,1,:,:)
1209	average_count_pr = average_count_pr + 1
1210	do_sum = .FALSE.
1211	ENDIF
1212
1213	!
1214	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
1215	!-- This flag is reset after each time step in time_integration.
1216	flow_statistics_called = .TRUE.
1217
1218	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
1219
1220
1221	END SUBROUTINE flow_statistics
1222
1223
1224

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