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source: palm/trunk/SOURCE/flow_statistics.f90 @ 224

Last change on this file since 224 was 220, checked in by raasch, 16 years ago
some small bugfixes in user_module, user_read_restart_data, read_3d_binary, flow_statistics and mrun
Property svn:keywords set to `Id`
File size: 44.5 KB

Line
1	SUBROUTINE flow_statistics
2
3	!------------------------------------------------------------------------------!
4	! Actual revisions:
5	! -----------------
6	!
7	!
8	! Former revisions:
9	! -----------------
10	! $Id: flow_statistics.f90 220 2008-12-18 07:00:36Z letzel $
11	!
12	! 197 2008-09-16 15:29:03Z raasch
13	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
14	! added,
15	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
16	! (like other scalars)
17	!
18	! 133 2007-11-20 10:10:53Z letzel
19	! Vertical profiles now based on nzb_s_inner; they are divided by
20	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
21	! velocity components and their products, procucts of scalars and velocity
22	! components), respectively.
23	!
24	! 106 2007-08-16 14:30:26Z raasch
25	! Prescribed momentum fluxes at the top surface are used,
26	! profiles for wp and w"e are calculated
27	!
28	! 97 2007-06-21 08:23:15Z raasch
29	! Statistics for ocean version (salinity, density) added,
30	! calculation of z_i and Deardorff velocity scale adjusted to be used with
31	! the ocean version
32	!
33	! 87 2007-05-22 15:46:47Z raasch
34	! Two more arguments added to user_statistics, which is now also called for
35	! user-defined profiles,
36	! var_hom and var_sum renamed pr_palm
37	!
38	! 82 2007-04-16 15:40:52Z raasch
39	! Cpp-directive lcmuk changed to intel_openmp_bug
40	!
41	! 75 2007-03-22 09:54:05Z raasch
42	! Collection of time series quantities moved from routine flow_statistics to
43	! here, routine user_statistics is called for each statistic region,
44	! moisture renamed humidity
45	!
46	! 19 2007-02-23 04:53:48Z raasch
47	! fluxes at top modified (tswst, qswst)
48	!
49	! RCS Log replace by Id keyword, revision history cleaned up
50	!
51	! Revision 1.41 2006/08/04 14:37:50 raasch
52	! Error removed in non-parallel part (sums_l)
53	!
54	! Revision 1.1 1997/08/11 06:15:17 raasch
55	! Initial revision
56	!
57	!
58	! Description:
59	! ------------
60	! Compute average profiles and further average flow quantities for the different
61	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
62	!
63	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
64	! ---- lower vertical index for k-loops for all variables, although strictly
65	! speaking the k-loops would have to be split up according to the staggered
66	! grid. However, this implies no error since staggered velocity components are
67	! zero at the walls and inside buildings.
68	!------------------------------------------------------------------------------!
69
70	USE arrays_3d
71	USE cloud_parameters
72	USE cpulog
73	USE grid_variables
74	USE indices
75	USE interfaces
76	USE pegrid
77	USE statistics
78	USE control_parameters
79
80	IMPLICIT NONE
81
82	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
83	LOGICAL :: first
84	REAL :: height, pts, sums_l_eper, sums_l_etot, ust, ust2, u2, vst, &
85	vst2, v2, w2, z_i(2)
86	REAL :: sums_ll(nzb:nzt+1,2)
87
88
89	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
90
91	!
92	!-- To be on the safe side, check whether flow_statistics has already been
93	!-- called once after the current time step
94	IF ( flow_statistics_called ) THEN
95	IF ( myid == 0 ) PRINT*, '+++ WARNING: flow_statistics is called two', &
96	' times within one timestep'
97	CALL local_stop
98	ENDIF
99
100	!
101	!-- Compute statistics for each (sub-)region
102	DO sr = 0, statistic_regions
103
104	!
105	!-- Initialize (local) summation array
106	sums_l = 0.0
107
108	!
109	!-- Store sums that have been computed in other subroutines in summation
110	!-- array
111	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
112	!-- WARNING: next line still has to be adjusted for OpenMP
113	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
114	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
115	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
116
117	!
118	!-- Horizontally averaged profiles of horizontal velocities and temperature.
119	!-- They must have been computed before, because they are already required
120	!-- for other horizontal averages.
121	tn = 0
122	!$OMP PARALLEL PRIVATE( i, j, k, tn )
123	#if defined( __intel_openmp_bug )
124	tn = omp_get_thread_num()
125	#else
126	!$ tn = omp_get_thread_num()
127	#endif
128
129	!$OMP DO
130	DO i = nxl, nxr
131	DO j = nys, nyn
132	DO k = nzb_s_inner(j,i), nzt+1
133	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
134	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
135	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
136	ENDDO
137	ENDDO
138	ENDDO
139
140	!
141	!-- Horizontally averaged profile of salinity
142	IF ( ocean ) THEN
143	!$OMP DO
144	DO i = nxl, nxr
145	DO j = nys, nyn
146	DO k = nzb_s_inner(j,i), nzt+1
147	sums_l(k,23,tn) = sums_l(k,23,tn) + &
148	sa(k,j,i) * rmask(j,i,sr)
149	ENDDO
150	ENDDO
151	ENDDO
152	ENDIF
153
154	!
155	!-- Horizontally averaged profiles of virtual potential temperature,
156	!-- total water content, specific humidity and liquid water potential
157	!-- temperature
158	IF ( humidity ) THEN
159	!$OMP DO
160	DO i = nxl, nxr
161	DO j = nys, nyn
162	DO k = nzb_s_inner(j,i), nzt+1
163	sums_l(k,44,tn) = sums_l(k,44,tn) + &
164	vpt(k,j,i) * rmask(j,i,sr)
165	sums_l(k,41,tn) = sums_l(k,41,tn) + &
166	q(k,j,i) * rmask(j,i,sr)
167	ENDDO
168	ENDDO
169	ENDDO
170	IF ( cloud_physics ) THEN
171	!$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,42,tn) = sums_l(k,42,tn) + &
176	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
177	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
178	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
179	) * rmask(j,i,sr)
180	ENDDO
181	ENDDO
182	ENDDO
183	ENDIF
184	ENDIF
185
186	!
187	!-- Horizontally averaged profiles of passive scalar
188	IF ( passive_scalar ) THEN
189	!$OMP DO
190	DO i = nxl, nxr
191	DO j = nys, nyn
192	DO k = nzb_s_inner(j,i), nzt+1
193	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
194	ENDDO
195	ENDDO
196	ENDDO
197	ENDIF
198	!$OMP END PARALLEL
199
200	!
201	!-- Summation of thread sums
202	IF ( threads_per_task > 1 ) THEN
203	DO i = 1, threads_per_task-1
204	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
205	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
206	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
207	IF ( ocean ) THEN
208	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
209	ENDIF
210	IF ( humidity ) THEN
211	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
212	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
213	IF ( cloud_physics ) THEN
214	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
215	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
216	ENDIF
217	ENDIF
218	IF ( passive_scalar ) THEN
219	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
220	ENDIF
221	ENDDO
222	ENDIF
223
224	#if defined( __parallel )
225	!
226	!-- Compute total sum from local sums
227	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
228	MPI_SUM, comm2d, ierr )
229	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
230	MPI_SUM, comm2d, ierr )
231	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
232	MPI_SUM, comm2d, ierr )
233	IF ( ocean ) THEN
234	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
235	MPI_REAL, MPI_SUM, comm2d, ierr )
236	ENDIF
237	IF ( humidity ) THEN
238	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
239	MPI_REAL, MPI_SUM, comm2d, ierr )
240	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
241	MPI_REAL, MPI_SUM, comm2d, ierr )
242	IF ( cloud_physics ) THEN
243	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
244	MPI_REAL, MPI_SUM, comm2d, ierr )
245	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
246	MPI_REAL, MPI_SUM, comm2d, ierr )
247	ENDIF
248	ENDIF
249
250	IF ( passive_scalar ) THEN
251	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
252	MPI_REAL, MPI_SUM, comm2d, ierr )
253	ENDIF
254	#else
255	sums(:,1) = sums_l(:,1,0)
256	sums(:,2) = sums_l(:,2,0)
257	sums(:,4) = sums_l(:,4,0)
258	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
259	IF ( humidity ) THEN
260	sums(:,44) = sums_l(:,44,0)
261	sums(:,41) = sums_l(:,41,0)
262	IF ( cloud_physics ) THEN
263	sums(:,42) = sums_l(:,42,0)
264	sums(:,43) = sums_l(:,43,0)
265	ENDIF
266	ENDIF
267	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
268	#endif
269
270	!
271	!-- Final values are obtained by division by the total number of grid points
272	!-- used for summation. After that store profiles.
273	sums(:,1) = sums(:,1) / ngp_2dh(sr)
274	sums(:,2) = sums(:,2) / ngp_2dh(sr)
275	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
276	hom(:,1,1,sr) = sums(:,1) ! u
277	hom(:,1,2,sr) = sums(:,2) ! v
278	hom(:,1,4,sr) = sums(:,4) ! pt
279
280	!
281	!-- Salinity
282	IF ( ocean ) THEN
283	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
284	hom(:,1,23,sr) = sums(:,23) ! sa
285	ENDIF
286
287	!
288	!-- Humidity and cloud parameters
289	IF ( humidity ) THEN
290	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
291	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
292	hom(:,1,44,sr) = sums(:,44) ! vpt
293	hom(:,1,41,sr) = sums(:,41) ! qv (q)
294	IF ( cloud_physics ) THEN
295	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
296	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
297	hom(:,1,42,sr) = sums(:,42) ! qv
298	hom(:,1,43,sr) = sums(:,43) ! pt
299	ENDIF
300	ENDIF
301
302	!
303	!-- Passive scalar
304	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
305	ngp_2dh_s_inner(:,sr) ! s (q)
306
307	!
308	!-- Horizontally averaged profiles of the remaining prognostic variables,
309	!-- variances, the total and the perturbation energy (single values in last
310	!-- column of sums_l) and some diagnostic quantities.
311	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
312	!-- ---- speaking the following k-loop would have to be split up and
313	!-- rearranged according to the staggered grid.
314	!-- However, this implies no error since staggered velocity components
315	!-- are zero at the walls and inside buildings.
316	tn = 0
317	#if defined( __intel_openmp_bug )
318	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
319	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
320	tn = omp_get_thread_num()
321	#else
322	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
323	!$ tn = omp_get_thread_num()
324	#endif
325	!$OMP DO
326	DO i = nxl, nxr
327	DO j = nys, nyn
328	sums_l_etot = 0.0
329	sums_l_eper = 0.0
330	DO k = nzb_s_inner(j,i), nzt+1
331	u2 = u(k,j,i)**2
332	v2 = v(k,j,i)**2
333	w2 = w(k,j,i)**2
334	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
335	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
336	!
337	!-- Prognostic and diagnostic variables
338	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
339	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
340	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
341	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
342	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
343
344	!
345	!-- Variances
346	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
347	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
348	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
349	sums_l(k,33,tn) = sums_l(k,33,tn) + &
350	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
351	!
352	!-- Higher moments
353	!-- (Computation of the skewness of w further below)
354	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i) * w2 * &
355	rmask(j,i,sr)
356	!
357	!-- Perturbation energy
358	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * ( ust2 + vst2 + w2 ) &
359	* rmask(j,i,sr)
360	sums_l_etot = sums_l_etot + &
361	0.5 * ( u2 + v2 + w2 ) * rmask(j,i,sr)
362	sums_l_eper = sums_l_eper + &
363	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
364	ENDDO
365	!
366	!-- Total and perturbation energy for the total domain (being
367	!-- collected in the last column of sums_l). Summation of these
368	!-- quantities is seperated from the previous loop in order to
369	!-- allow vectorization of that loop.
370	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
371	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) + sums_l_eper
372	!
373	!-- 2D-arrays (being collected in the last column of sums_l)
374	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
375	us(j,i) * rmask(j,i,sr)
376	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
377	usws(j,i) * rmask(j,i,sr)
378	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
379	vsws(j,i) * rmask(j,i,sr)
380	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
381	ts(j,i) * rmask(j,i,sr)
382	IF ( humidity ) THEN
383	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
384	qs(j,i) * rmask(j,i,sr)
385	ENDIF
386	ENDDO
387	ENDDO
388
389	!
390	!-- Horizontally averaged profiles of the vertical fluxes
391	!$OMP DO
392	DO i = nxl, nxr
393	DO j = nys, nyn
394	!
395	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
396	!-- oterwise from k=nzb+1)
397	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
398	!-- ---- strictly speaking the following k-loop would have to be
399	!-- split up according to the staggered grid.
400	!-- However, this implies no error since staggered velocity
401	!-- components are zero at the walls and inside buildings.
402
403	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
404	!
405	!-- Momentum flux w"u"
406	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
407	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
408	) * ( &
409	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
410	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
411	) * rmask(j,i,sr)
412	!
413	!-- Momentum flux w"v"
414	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
415	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
416	) * ( &
417	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
418	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
419	) * rmask(j,i,sr)
420	!
421	!-- Heat flux w"pt"
422	sums_l(k,16,tn) = sums_l(k,16,tn) &
423	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
424	* ( pt(k+1,j,i) - pt(k,j,i) ) &
425	* ddzu(k+1) * rmask(j,i,sr)
426
427
428	!
429	!-- Salinity flux w"sa"
430	IF ( ocean ) THEN
431	sums_l(k,65,tn) = sums_l(k,65,tn) &
432	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
433	* ( sa(k+1,j,i) - sa(k,j,i) ) &
434	* ddzu(k+1) * rmask(j,i,sr)
435	ENDIF
436
437	!
438	!-- Buoyancy flux, water flux (humidity flux) w"q"
439	IF ( humidity ) THEN
440	sums_l(k,45,tn) = sums_l(k,45,tn) &
441	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
442	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
443	* ddzu(k+1) * rmask(j,i,sr)
444	sums_l(k,48,tn) = sums_l(k,48,tn) &
445	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
446	* ( q(k+1,j,i) - q(k,j,i) ) &
447	* ddzu(k+1) * rmask(j,i,sr)
448	IF ( cloud_physics ) THEN
449	sums_l(k,51,tn) = sums_l(k,51,tn) &
450	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
451	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
452	- ( q(k,j,i) - ql(k,j,i) ) ) &
453	* ddzu(k+1) * rmask(j,i,sr)
454	ENDIF
455	ENDIF
456
457	!
458	!-- Passive scalar flux
459	IF ( passive_scalar ) THEN
460	sums_l(k,48,tn) = sums_l(k,48,tn) &
461	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
462	* ( q(k+1,j,i) - q(k,j,i) ) &
463	* ddzu(k+1) * rmask(j,i,sr)
464	ENDIF
465
466	ENDDO
467
468	!
469	!-- Subgridscale fluxes in the Prandtl layer
470	IF ( use_surface_fluxes ) THEN
471	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
472	usws(j,i) * rmask(j,i,sr) ! w"u"
473	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
474	vsws(j,i) * rmask(j,i,sr) ! w"v"
475	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
476	shf(j,i) * rmask(j,i,sr) ! w"pt"
477	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
478	0.0 * rmask(j,i,sr) ! u"pt"
479	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
480	0.0 * rmask(j,i,sr) ! v"pt"
481	IF ( ocean ) THEN
482	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
483	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
484	ENDIF
485	IF ( humidity ) THEN
486	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
487	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
488	IF ( cloud_physics ) THEN
489	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
490	( 1.0 + 0.61 * q(nzb,j,i) ) * &
491	shf(j,i) + 0.61 * pt(nzb,j,i) * &
492	qsws(j,i) &
493	)
494	!
495	!-- Formula does not work if ql(nzb) /= 0.0
496	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
497	qsws(j,i) * rmask(j,i,sr)
498	ENDIF
499	ENDIF
500	IF ( passive_scalar ) THEN
501	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
502	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
503	ENDIF
504	ENDIF
505
506	!
507	!-- Subgridscale fluxes at the top surface
508	IF ( use_top_fluxes ) THEN
509	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
510	uswst(j,i) * rmask(j,i,sr) ! w"u"
511	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
512	vswst(j,i) * rmask(j,i,sr) ! w"v"
513	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
514	tswst(j,i) * rmask(j,i,sr) ! w"pt"
515	sums_l(nzt,58,tn) = sums_l(nzt,58,tn) + &
516	0.0 * rmask(j,i,sr) ! u"pt"
517	sums_l(nzt,61,tn) = sums_l(nzt,61,tn) + &
518	0.0 * rmask(j,i,sr) ! v"pt"
519	IF ( ocean ) THEN
520	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
521	saswst(j,i) * rmask(j,i,sr) ! w"sa"
522	ENDIF
523	IF ( humidity ) THEN
524	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
525	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
526	IF ( cloud_physics ) THEN
527	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
528	( 1.0 + 0.61 * q(nzt,j,i) ) * &
529	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
530	qsws(j,i) &
531	)
532	!
533	!-- Formula does not work if ql(nzb) /= 0.0
534	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
535	qswst(j,i) * rmask(j,i,sr)
536	ENDIF
537	ENDIF
538	IF ( passive_scalar ) THEN
539	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
540	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
541	ENDIF
542	ENDIF
543
544	!
545	!-- Resolved fluxes (can be computed for all horizontal points)
546	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
547	!-- ---- speaking the following k-loop would have to be split up and
548	!-- rearranged according to the staggered grid.
549	DO k = nzb_s_inner(j,i), nzt
550	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
551	u(k+1,j,i) - hom(k+1,1,1,sr) )
552	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
553	v(k+1,j,i) - hom(k+1,1,2,sr) )
554	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
555	pt(k+1,j,i) - hom(k+1,1,4,sr) )
556	!
557	!-- Momentum flux wu
558	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
559	( w(k,j,i-1) + w(k,j,i) ) &
560	* ust * rmask(j,i,sr)
561	!
562	!-- Momentum flux wv
563	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
564	( w(k,j-1,i) + w(k,j,i) ) &
565	* vst * rmask(j,i,sr)
566	!
567	!-- Heat flux wpt
568	!-- The following formula (comment line, not executed) does not
569	!-- work if applied to subregions
570	! sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
571	! ( pt(k,j,i)+pt(k+1,j,i) ) &
572	! * w(k,j,i) * rmask(j,i,sr)
573	sums_l(k,17,tn) = sums_l(k,17,tn) + pts * w(k,j,i) * &
574	rmask(j,i,sr)
575	!
576	!-- Higher moments
577	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
578	rmask(j,i,sr)
579	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
580	rmask(j,i,sr)
581
582	!
583	!-- Salinity flux and density (density does not belong to here,
584	!-- but so far there is no other suitable place to calculate)
585	IF ( ocean ) THEN
586	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
587	sa(k+1,j,i) - hom(k+1,1,23,sr) )
588	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
589	rmask(j,i,sr)
590	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
591	rmask(j,i,sr)
592	ENDIF
593
594	!
595	!-- Buoyancy flux, water flux, humidity flux and liquid water
596	!-- content
597	IF ( humidity ) THEN
598	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
599	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
600	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
601	rmask(j,i,sr)
602	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
603	q(k+1,j,i) - hom(k+1,1,41,sr) )
604	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
605	rmask(j,i,sr)
606	IF ( cloud_physics .OR. cloud_droplets ) THEN
607	pts = 0.5 * &
608	( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) &
609	+ ( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) )
610	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
611	rmask(j,i,sr)
612	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
613	rmask(j,i,sr)
614	ENDIF
615	ENDIF
616
617	!
618	!-- Passive scalar flux
619	IF ( passive_scalar ) THEN
620	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
621	q(k+1,j,i) - hom(k+1,1,41,sr) )
622	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
623	rmask(j,i,sr)
624	ENDIF
625
626	!
627	!-- Energy flux we
628	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
629	( ust2 + vst2 + w(k,j,i)**2 )&
630	* rmask(j,i,sr)
631
632	ENDDO
633	ENDDO
634	ENDDO
635
636	!
637	!-- Density at top follows Neumann condition
638	IF ( ocean ) sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
639
640	!
641	!-- Divergence of vertical flux of resolved scale energy and pressure
642	!-- fluctuations as well as flux of pressure fluctuation itself (68).
643	!-- First calculate the products, then the divergence.
644	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
645	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
646
647	sums_ll = 0.0 ! local array
648
649	!$OMP DO
650	DO i = nxl, nxr
651	DO j = nys, nyn
652	DO k = nzb_s_inner(j,i)+1, nzt
653
654	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
655	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
656	- 2.0 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
657	) )**2 &
658	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
659	- 2.0 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
660	) )**2 &
661	+ w(k,j,i)**2 )
662
663	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
664	* ( p(k,j,i) + p(k+1,j,i) )
665
666	ENDDO
667	ENDDO
668	ENDDO
669	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
670	sums_ll(nzt+1,1) = 0.0
671	sums_ll(0,2) = 0.0
672	sums_ll(nzt+1,2) = 0.0
673
674	DO k = nzb_s_inner(j,i)+1, nzt
675	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
676	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
677	sums_l(k,68,tn) = sums_ll(k,2)
678	ENDDO
679	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
680	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
681	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
682
683	ENDIF
684
685	!
686	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
687	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
688
689	!$OMP DO
690	DO i = nxl, nxr
691	DO j = nys, nyn
692	DO k = nzb_s_inner(j,i)+1, nzt
693
694	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
695	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
696	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
697	) * ddzw(k)
698
699	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
700	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
701	)
702
703	ENDDO
704	ENDDO
705	ENDDO
706	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
707	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
708
709	ENDIF
710
711	!
712	!-- Horizontal heat fluxes (subgrid, resolved, total).
713	!-- Do it only, if profiles shall be plotted.
714	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
715
716	!$OMP DO
717	DO i = nxl, nxr
718	DO j = nys, nyn
719	DO k = nzb_s_inner(j,i)+1, nzt
720	!
721	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
722	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
723	( kh(k,j,i) + kh(k,j,i-1) ) &
724	* ( pt(k,j,i-1) - pt(k,j,i) ) &
725	* ddx * rmask(j,i,sr)
726	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
727	( kh(k,j,i) + kh(k,j-1,i) ) &
728	* ( pt(k,j-1,i) - pt(k,j,i) ) &
729	* ddy * rmask(j,i,sr)
730	!
731	!-- Resolved horizontal heat fluxes upt, vpt
732	sums_l(k,59,tn) = sums_l(k,59,tn) + &
733	( u(k,j,i) - hom(k,1,1,sr) ) &
734	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
735	pt(k,j,i) - hom(k,1,4,sr) )
736	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
737	pt(k,j,i) - hom(k,1,4,sr) )
738	sums_l(k,62,tn) = sums_l(k,62,tn) + &
739	( v(k,j,i) - hom(k,1,2,sr) ) &
740	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
741	pt(k,j,i) - hom(k,1,4,sr) )
742	ENDDO
743	ENDDO
744	ENDDO
745	!
746	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
747	sums_l(nzb,58,tn) = 0.0
748	sums_l(nzb,59,tn) = 0.0
749	sums_l(nzb,60,tn) = 0.0
750	sums_l(nzb,61,tn) = 0.0
751	sums_l(nzb,62,tn) = 0.0
752	sums_l(nzb,63,tn) = 0.0
753
754	ENDIF
755
756	!
757	!-- Calculate the user-defined profiles
758	CALL user_statistics( 'profiles', sr, tn )
759	!$OMP END PARALLEL
760
761	!
762	!-- Summation of thread sums
763	IF ( threads_per_task > 1 ) THEN
764	DO i = 1, threads_per_task-1
765	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
766	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
767	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
768	sums_l(:,45:pr_palm,i)
769	IF ( max_pr_user > 0 ) THEN
770	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
771	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
772	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
773	ENDIF
774	ENDDO
775	ENDIF
776
777	#if defined( __parallel )
778	!
779	!-- Compute total sum from local sums
780	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
781	MPI_SUM, comm2d, ierr )
782	#else
783	sums = sums_l(:,:,0)
784	#endif
785
786	!
787	!-- Final values are obtained by division by the total number of grid points
788	!-- used for summation. After that store profiles.
789	!-- Profiles:
790	DO k = nzb, nzt+1
791	sums(k,3) = sums(k,3) / ngp_2dh(sr)
792	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
793	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
794	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
795	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
796	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
797	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
798	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
799	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
800	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
801	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
802	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
803	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
804	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
805	ENDDO
806	!-- Upstream-parts
807	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
808	!-- u* and so on
809	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
810	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
811	!-- above the topography, they are being divided by ngp_2dh(sr)
812	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
813	ngp_2dh(sr)
814	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
815	ngp_2dh(sr)
816	!-- eges, e*
817	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
818	ngp_3d(sr)
819	!-- Old and new divergence
820	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
821	ngp_3d_inner(sr)
822
823	!-- User-defined profiles
824	IF ( max_pr_user > 0 ) THEN
825	DO k = nzb, nzt+1
826	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
827	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
828	ngp_2dh_s_inner(k,sr)
829	ENDDO
830	ENDIF
831
832	!
833	!-- Collect horizontal average in hom.
834	!-- Compute deduced averages (e.g. total heat flux)
835	hom(:,1,3,sr) = sums(:,3) ! w
836	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
837	hom(:,1,9,sr) = sums(:,9) ! km
838	hom(:,1,10,sr) = sums(:,10) ! kh
839	hom(:,1,11,sr) = sums(:,11) ! l
840	hom(:,1,12,sr) = sums(:,12) ! w"u"
841	hom(:,1,13,sr) = sums(:,13) ! wu
842	hom(:,1,14,sr) = sums(:,14) ! w"v"
843	hom(:,1,15,sr) = sums(:,15) ! wv
844	hom(:,1,16,sr) = sums(:,16) ! w"pt"
845	hom(:,1,17,sr) = sums(:,17) ! wpt
846	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
847	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
848	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
849	hom(:,1,21,sr) = sums(:,21) ! wptBC
850	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
851	! profile 24 is initial profile (sa)
852	! profiles 25-29 left empty for initial
853	! profiles
854	hom(:,1,30,sr) = sums(:,30) ! u*2
855	hom(:,1,31,sr) = sums(:,31) ! v*2
856	hom(:,1,32,sr) = sums(:,32) ! w*2
857	hom(:,1,33,sr) = sums(:,33) ! pt*2
858	hom(:,1,34,sr) = sums(:,34) ! e*
859	hom(:,1,35,sr) = sums(:,35) ! w2pt
860	hom(:,1,36,sr) = sums(:,36) ! wpt2
861	hom(:,1,37,sr) = sums(:,37) ! we
862	hom(:,1,38,sr) = sums(:,38) ! w*3
863	hom(:,1,39,sr) = sums(:,38) / ( sums(:,32) + 1E-20 )**1.5 ! Sw
864	hom(:,1,40,sr) = sums(:,40) ! p
865	hom(:,1,45,sr) = sums(:,45) ! w"q"
866	hom(:,1,46,sr) = sums(:,46) ! wvpt
867	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
868	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
869	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
870	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
871	hom(:,1,51,sr) = sums(:,51) ! w"qv"
872	hom(:,1,52,sr) = sums(:,52) ! wqv
873	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
874	hom(:,1,54,sr) = sums(:,54) ! ql
875	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
876	hom(:,1,56,sr) = sums(:,56) ! wp/dz
877	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
878	hom(:,1,58,sr) = sums(:,58) ! u"pt"
879	hom(:,1,59,sr) = sums(:,59) ! upt
880	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
881	hom(:,1,61,sr) = sums(:,61) ! v"pt"
882	hom(:,1,62,sr) = sums(:,62) ! vpt
883	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
884	hom(:,1,64,sr) = sums(:,64) ! rho
885	hom(:,1,65,sr) = sums(:,65) ! w"sa"
886	hom(:,1,66,sr) = sums(:,66) ! wsa
887	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
888	hom(:,1,68,sr) = sums(:,68) ! wp
889	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
890	hom(:,1,70,sr) = sums(:,70) ! q*2
891
892	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
893	! upstream-parts u_x, u_y, u_z, v_x,
894	! v_y, usw. (in last but one profile)
895	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
896	! u, w'u', w'v', t (in last profile)
897
898	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
899	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
900	sums(:,pr_palm+1:pr_palm+max_pr_user)
901	ENDIF
902
903	!
904	!-- Determine the boundary layer height using two different schemes.
905	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
906	!-- first relative minimum (maximum) of the total heat flux.
907	!-- The corresponding height is assumed as the boundary layer height, if it
908	!-- is less than 1.5 times the height where the heat flux becomes negative
909	!-- (positive) for the first time.
910	!-- NOTE: This criterion is still capable of improving!
911	z_i(1) = 0.0
912	first = .TRUE.
913	IF ( ocean ) THEN
914	DO k = nzt, nzb+1, -1
915	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
916	first = .FALSE.
917	height = zw(k)
918	ENDIF
919	IF ( hom(k,1,18,sr) < 0.0 .AND. &
920	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
921	IF ( zw(k) < 1.5 * height ) THEN
922	z_i(1) = zw(k)
923	ELSE
924	z_i(1) = height
925	ENDIF
926	EXIT
927	ENDIF
928	ENDDO
929	ELSE
930	DO k = nzb, nzt-1
931	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
932	first = .FALSE.
933	height = zw(k)
934	ENDIF
935	IF ( hom(k,1,18,sr) < 0.0 .AND. &
936	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
937	IF ( zw(k) < 1.5 * height ) THEN
938	z_i(1) = zw(k)
939	ELSE
940	z_i(1) = height
941	ENDIF
942	EXIT
943	ENDIF
944	ENDDO
945	ENDIF
946
947	!
948	!-- Second scheme: Starting from the top/bottom model boundary, look for
949	!-- the first characteristic kink in the temperature profile, where the
950	!-- originally stable stratification notably weakens.
951	z_i(2) = 0.0
952	IF ( ocean ) THEN
953	DO k = nzb+1, nzt-1
954	IF ( ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) > &
955	2.0 * ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) ) THEN
956	z_i(2) = zu(k)
957	EXIT
958	ENDIF
959	ENDDO
960	ELSE
961	DO k = nzt-1, nzb+1, -1
962	IF ( ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) > &
963	2.0 * ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) ) THEN
964	z_i(2) = zu(k)
965	EXIT
966	ENDIF
967	ENDDO
968	ENDIF
969
970	hom(nzb+6,1,pr_palm,sr) = z_i(1)
971	hom(nzb+7,1,pr_palm,sr) = z_i(2)
972
973	!
974	!-- Computation of both the characteristic vertical velocity and
975	!-- the characteristic convective boundary layer temperature.
976	!-- The horizontal average at nzb+1 is input for the average temperature.
977	IF ( hom(nzb,1,18,sr) > 0.0 .AND. z_i(1) /= 0.0 ) THEN
978	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
979	hom(nzb,1,18,sr) * &
980	ABS( z_i(1) ) )**0.333333333
981	!-- so far this only works if Prandtl layer is used
982	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
983	ELSE
984	hom(nzb+8,1,pr_palm,sr) = 0.0
985	hom(nzb+11,1,pr_palm,sr) = 0.0
986	ENDIF
987
988	!
989	!-- Collect the time series quantities
990	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
991	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
992	ts_value(3,sr) = dt_3d
993	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
994	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
995	ts_value(6,sr) = u_max
996	ts_value(7,sr) = v_max
997	ts_value(8,sr) = w_max
998	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
999	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
1000	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
1001	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
1002	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
1003	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
1004	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
1005	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
1006	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
1007	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
1008	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
1009	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
1010	ts_value(21,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
1011
1012	IF ( ts_value(5,sr) /= 0.0 ) THEN
1013	ts_value(22,sr) = ts_value(4,sr)**2 / &
1014	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
1015	ELSE
1016	ts_value(22,sr) = 10000.0
1017	ENDIF
1018
1019	!
1020	!-- Calculate additional statistics provided by the user interface
1021	CALL user_statistics( 'time_series', sr, 0 )
1022
1023	ENDDO ! loop of the subregions
1024
1025	!
1026	!-- If required, sum up horizontal averages for subsequent time averaging
1027	IF ( do_sum ) THEN
1028	IF ( average_count_pr == 0 ) hom_sum = 0.0
1029	hom_sum = hom_sum + hom(:,1,:,:)
1030	average_count_pr = average_count_pr + 1
1031	do_sum = .FALSE.
1032	ENDIF
1033
1034	!
1035	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
1036	!-- This flag is reset after each time step in time_integration.
1037	flow_statistics_called = .TRUE.
1038
1039	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
1040
1041
1042	END SUBROUTINE flow_statistics
1043
1044
1045

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