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source: palm/trunk/SOURCE/flow_statistics.f90 @ 281

Last change on this file since 281 was 274, checked in by heinze, 16 years ago
Indentation of the message calls corrected
Property svn:keywords set to `Id`
File size: 44.5 KB

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

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