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source: palm/trunk/SOURCE/flow_statistics.f90 @ 537

Last change on this file since 537 was 531, checked in by heinze, 15 years ago
call of subsidence added in prognostic equations for humidity/passive scalar, some bugfixes
Property svn:keywords set to `Id`
File size: 45.9 KB

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

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