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source: palm/trunk/SOURCE/flow_statistics.f90 @ 256

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

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