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source: palm/trunk/SOURCE/flow_statistics.f90 @ 348

Last change on this file since 348 was 343, checked in by maronga, 15 years ago
adjustments for lcxt4 and ibmy, allow user 2d xy cross section output at z=nzb+1
Property svn:keywords set to `Id`
File size: 45.5 KB

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

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