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source: palm/trunk/SOURCE/flow_statistics.f90 @ 104

Last change on this file since 104 was 102, checked in by raasch, 17 years ago
preliminary version for coupled runs
Property svn:keywords set to `Id`
File size: 42.1 KB

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1	SUBROUTINE flow_statistics
2
3	!------------------------------------------------------------------------------!
4	! Actual revisions:
5	! -----------------
6	! Prescribed momentum fluxes at the top surface are used
7	!
8	! Former revisions:
9	! -----------------
10	! $Id: flow_statistics.f90 102 2007-07-27 09:09:17Z raasch $
11	!
12	! 97 2007-06-21 08:23:15Z raasch
13	! Statistics for ocean version (salinity, density) added,
14	! calculation of z_i and Deardorff velocity scale adjusted to be used with
15	! the ocean version
16	!
17	! 87 2007-05-22 15:46:47Z raasch
18	! Two more arguments added to user_statistics, which is now also called for
19	! user-defined profiles,
20	! var_hom and var_sum renamed pr_palm
21	!
22	! 82 2007-04-16 15:40:52Z raasch
23	! Cpp-directive lcmuk changed to intel_openmp_bug
24	!
25	! 75 2007-03-22 09:54:05Z raasch
26	! Collection of time series quantities moved from routine flow_statistics to
27	! here, routine user_statistics is called for each statistic region,
28	! moisture renamed humidity
29	!
30	! 19 2007-02-23 04:53:48Z raasch
31	! fluxes at top modified (tswst, qswst)
32	!
33	! RCS Log replace by Id keyword, revision history cleaned up
34	!
35	! Revision 1.41 2006/08/04 14:37:50 raasch
36	! Error removed in non-parallel part (sums_l)
37	!
38	! Revision 1.1 1997/08/11 06:15:17 raasch
39	! Initial revision
40	!
41	!
42	! Description:
43	! ------------
44	! Compute average profiles and further average flow quantities for the different
45	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
46	!
47	! NOTE: For simplicity, nzb_s_outer and nzb_diff_s_outer are being used as a
48	! ---- lower vertical index for k-loops for all variables so that regardless
49	! of the variable and its respective staggered grid always the same number of
50	! grid points is used for 2D averages. The disadvantage: depending on the
51	! variable, up to one grid layer adjacent to the (vertical walls of the)
52	! topography is missed out by this simplification.
53	!------------------------------------------------------------------------------!
54
55	USE arrays_3d
56	USE cloud_parameters
57	USE cpulog
58	USE grid_variables
59	USE indices
60	USE interfaces
61	USE pegrid
62	USE statistics
63	USE control_parameters
64
65	IMPLICIT NONE
66
67	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
68	LOGICAL :: first
69	REAL :: height, pts, sums_l_eper, sums_l_etot, ust, ust2, u2, vst, &
70	vst2, v2, w2, z_i(2)
71	REAL :: sums_ll(nzb:nzt+1,2)
72
73
74	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
75
76	!
77	!-- To be on the safe side, check whether flow_statistics has already been
78	!-- called once after the current time step
79	IF ( flow_statistics_called ) THEN
80	IF ( myid == 0 ) PRINT*, '+++ WARNING: flow_statistics is called two', &
81	' times within one timestep'
82	CALL local_stop
83	ENDIF
84
85	!
86	!-- Compute statistics for each (sub-)region
87	DO sr = 0, statistic_regions
88
89	!
90	!-- Initialize (local) summation array
91	sums_l = 0.0
92
93	!
94	!-- Store sums that have been computed in other subroutines in summation
95	!-- array
96	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
97	!-- WARNING: next line still has to be adjusted for OpenMP
98	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
99	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
100	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
101	!-- WARNING: next four lines still may have to be adjusted for OpenMP
102	sums_l(nzb:nzb+2,pr_palm-1,0) = sums_up_fraction_l(1,1:3,sr)! upstream
103	sums_l(nzb+3:nzb+5,pr_palm-1,0) = sums_up_fraction_l(2,1:3,sr)! parts
104	sums_l(nzb+6:nzb+8,pr_palm-1,0) = sums_up_fraction_l(3,1:3,sr)! from
105	sums_l(nzb+9:nzb+11,pr_palm-1,0) = sums_up_fraction_l(4,1:3,sr)! spline
106
107	!
108	!-- Horizontally averaged profiles of horizontal velocities and temperature.
109	!-- They must have been computed before, because they are already required
110	!-- for other horizontal averages.
111	tn = 0
112	!$OMP PARALLEL PRIVATE( i, j, k, tn )
113	#if defined( __intel_openmp_bug )
114	tn = omp_get_thread_num()
115	#else
116	!$ tn = omp_get_thread_num()
117	#endif
118
119	!$OMP DO
120	DO i = nxl, nxr
121	DO j = nys, nyn
122	DO k = nzb_s_outer(j,i), nzt+1
123	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
124	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
125	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
126	ENDDO
127	ENDDO
128	ENDDO
129
130	!
131	!-- Horizontally averaged profile of salinity
132	IF ( ocean ) THEN
133	!$OMP DO
134	DO i = nxl, nxr
135	DO j = nys, nyn
136	DO k = nzb_s_outer(j,i), nzt+1
137	sums_l(k,23,tn) = sums_l(k,23,tn) + &
138	sa(k,j,i) * rmask(j,i,sr)
139	ENDDO
140	ENDDO
141	ENDDO
142	ENDIF
143
144	!
145	!-- Horizontally averaged profiles of virtual potential temperature,
146	!-- total water content, specific humidity and liquid water potential
147	!-- temperature
148	IF ( humidity ) THEN
149	!$OMP DO
150	DO i = nxl, nxr
151	DO j = nys, nyn
152	DO k = nzb_s_outer(j,i), nzt+1
153	sums_l(k,44,tn) = sums_l(k,44,tn) + &
154	vpt(k,j,i) * rmask(j,i,sr)
155	sums_l(k,41,tn) = sums_l(k,41,tn) + &
156	q(k,j,i) * rmask(j,i,sr)
157	ENDDO
158	ENDDO
159	ENDDO
160	IF ( cloud_physics ) THEN
161	!$OMP DO
162	DO i = nxl, nxr
163	DO j = nys, nyn
164	DO k = nzb_s_outer(j,i), nzt+1
165	sums_l(k,42,tn) = sums_l(k,42,tn) + &
166	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
167	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
168	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
169	) * rmask(j,i,sr)
170	ENDDO
171	ENDDO
172	ENDDO
173	ENDIF
174	ENDIF
175
176	!
177	!-- Horizontally averaged profiles of passive scalar
178	IF ( passive_scalar ) THEN
179	!$OMP DO
180	DO i = nxl, nxr
181	DO j = nys, nyn
182	DO k = nzb_s_outer(j,i), nzt+1
183	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
184	ENDDO
185	ENDDO
186	ENDDO
187	ENDIF
188	!$OMP END PARALLEL
189
190	!
191	!-- Summation of thread sums
192	IF ( threads_per_task > 1 ) THEN
193	DO i = 1, threads_per_task-1
194	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
195	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
196	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
197	IF ( ocean ) THEN
198	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
199	ENDIF
200	IF ( humidity ) THEN
201	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
202	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
203	IF ( cloud_physics ) THEN
204	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
205	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
206	ENDIF
207	ENDIF
208	IF ( passive_scalar ) THEN
209	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
210	ENDIF
211	ENDDO
212	ENDIF
213
214	#if defined( __parallel )
215	!
216	!-- Compute total sum from local sums
217	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
218	MPI_SUM, comm2d, ierr )
219	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
220	MPI_SUM, comm2d, ierr )
221	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
222	MPI_SUM, comm2d, ierr )
223	IF ( ocean ) THEN
224	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
225	MPI_REAL, MPI_SUM, comm2d, ierr )
226	ENDIF
227	IF ( humidity ) THEN
228	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
229	MPI_REAL, MPI_SUM, comm2d, ierr )
230	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
231	MPI_REAL, MPI_SUM, comm2d, ierr )
232	IF ( cloud_physics ) THEN
233	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
234	MPI_REAL, MPI_SUM, comm2d, ierr )
235	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
236	MPI_REAL, MPI_SUM, comm2d, ierr )
237	ENDIF
238	ENDIF
239
240	IF ( passive_scalar ) THEN
241	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
242	MPI_REAL, MPI_SUM, comm2d, ierr )
243	ENDIF
244	#else
245	sums(:,1) = sums_l(:,1,0)
246	sums(:,2) = sums_l(:,2,0)
247	sums(:,4) = sums_l(:,4,0)
248	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
249	IF ( humidity ) THEN
250	sums(:,44) = sums_l(:,44,0)
251	sums(:,41) = sums_l(:,41,0)
252	IF ( cloud_physics ) THEN
253	sums(:,42) = sums_l(:,42,0)
254	sums(:,43) = sums_l(:,43,0)
255	ENDIF
256	ENDIF
257	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
258	#endif
259
260	!
261	!-- Final values are obtained by division by the total number of grid points
262	!-- used for summation. After that store profiles.
263	sums(:,1) = sums(:,1) / ngp_2dh_outer(:,sr)
264	sums(:,2) = sums(:,2) / ngp_2dh_outer(:,sr)
265	sums(:,4) = sums(:,4) / ngp_2dh_outer(:,sr)
266	hom(:,1,1,sr) = sums(:,1) ! u
267	hom(:,1,2,sr) = sums(:,2) ! v
268	hom(:,1,4,sr) = sums(:,4) ! pt
269
270	!
271	!-- Salinity
272	IF ( ocean ) THEN
273	sums(:,23) = sums(:,23) / ngp_2dh_outer(:,sr)
274	hom(:,1,23,sr) = sums(:,23) ! sa
275	ENDIF
276
277	!
278	!-- Humidity and cloud parameters
279	IF ( humidity ) THEN
280	sums(:,44) = sums(:,44) / ngp_2dh_outer(:,sr)
281	sums(:,41) = sums(:,41) / ngp_2dh_outer(:,sr)
282	hom(:,1,44,sr) = sums(:,44) ! vpt
283	hom(:,1,41,sr) = sums(:,41) ! qv (q)
284	IF ( cloud_physics ) THEN
285	sums(:,42) = sums(:,42) / ngp_2dh_outer(:,sr)
286	sums(:,43) = sums(:,43) / ngp_2dh_outer(:,sr)
287	hom(:,1,42,sr) = sums(:,42) ! qv
288	hom(:,1,43,sr) = sums(:,43) ! pt
289	ENDIF
290	ENDIF
291
292	!
293	!-- Passive scalar
294	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / ngp_2dh_outer(:,sr)
295
296	!
297	!-- Horizontally averaged profiles of the remaining prognostic variables,
298	!-- variances, the total and the perturbation energy (single values in last
299	!-- column of sums_l) and some diagnostic quantities.
300	!-- NOTE: for simplicity, nzb_s_outer is used below, although strictly
301	!-- ---- speaking the following k-loop would have to be split up and
302	!-- rearranged according to the staggered grid.
303	tn = 0
304	#if defined( __intel_openmp_bug )
305	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
306	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
307	tn = omp_get_thread_num()
308	#else
309	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
310	!$ tn = omp_get_thread_num()
311	#endif
312	!$OMP DO
313	DO i = nxl, nxr
314	DO j = nys, nyn
315	sums_l_etot = 0.0
316	sums_l_eper = 0.0
317	DO k = nzb_s_outer(j,i), nzt+1
318	u2 = u(k,j,i)**2
319	v2 = v(k,j,i)**2
320	w2 = w(k,j,i)**2
321	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
322	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
323	!
324	!-- Prognostic and diagnostic variables
325	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
326	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
327	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
328	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
329	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
330
331	!
332	!-- Variances
333	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
334	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
335	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
336	sums_l(k,33,tn) = sums_l(k,33,tn) + &
337	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
338	!
339	!-- Higher moments
340	!-- (Computation of the skewness of w further below)
341	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i) * w2 * &
342	rmask(j,i,sr)
343	!
344	!-- Perturbation energy
345	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * ( ust2 + vst2 + w2 ) &
346	* rmask(j,i,sr)
347	sums_l_etot = sums_l_etot + &
348	0.5 * ( u2 + v2 + w2 ) * rmask(j,i,sr)
349	sums_l_eper = sums_l_eper + &
350	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
351	ENDDO
352	!
353	!-- Total and perturbation energy for the total domain (being
354	!-- collected in the last column of sums_l). Summation of these
355	!-- quantities is seperated from the previous loop in order to
356	!-- allow vectorization of that loop.
357	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
358	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) + sums_l_eper
359	!
360	!-- 2D-arrays (being collected in the last column of sums_l)
361	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
362	us(j,i) * rmask(j,i,sr)
363	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
364	usws(j,i) * rmask(j,i,sr)
365	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
366	vsws(j,i) * rmask(j,i,sr)
367	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
368	ts(j,i) * rmask(j,i,sr)
369	ENDDO
370	ENDDO
371
372	!
373	!-- Horizontally averaged profiles of the vertical fluxes
374	!$OMP DO
375	DO i = nxl, nxr
376	DO j = nys, nyn
377	!
378	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
379	!-- oterwise from k=nzb+1)
380	!-- NOTE: for simplicity, nzb_diff_s_outer is used below, although
381	!-- ---- strictly speaking the following k-loop would have to be
382	!-- split up according to the staggered grid.
383	DO k = nzb_diff_s_outer(j,i)-1, nzt_diff
384	!
385	!-- Momentum flux w"u"
386	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
387	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
388	) * ( &
389	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
390	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
391	) * rmask(j,i,sr)
392	!
393	!-- Momentum flux w"v"
394	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
395	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
396	) * ( &
397	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
398	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
399	) * rmask(j,i,sr)
400	!
401	!-- Heat flux w"pt"
402	sums_l(k,16,tn) = sums_l(k,16,tn) &
403	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
404	* ( pt(k+1,j,i) - pt(k,j,i) ) &
405	* ddzu(k+1) * rmask(j,i,sr)
406
407
408	!
409	!-- Salinity flux w"sa"
410	IF ( ocean ) THEN
411	sums_l(k,65,tn) = sums_l(k,65,tn) &
412	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
413	* ( sa(k+1,j,i) - sa(k,j,i) ) &
414	* ddzu(k+1) * rmask(j,i,sr)
415	ENDIF
416
417	!
418	!-- Buoyancy flux, water flux (humidity flux) w"q"
419	IF ( humidity ) THEN
420	sums_l(k,45,tn) = sums_l(k,45,tn) &
421	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
422	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
423	* ddzu(k+1) * rmask(j,i,sr)
424	sums_l(k,48,tn) = sums_l(k,48,tn) &
425	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
426	* ( q(k+1,j,i) - q(k,j,i) ) &
427	* ddzu(k+1) * rmask(j,i,sr)
428	IF ( cloud_physics ) THEN
429	sums_l(k,51,tn) = sums_l(k,51,tn) &
430	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
431	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
432	- ( q(k,j,i) - ql(k,j,i) ) ) &
433	* ddzu(k+1) * rmask(j,i,sr)
434	ENDIF
435	ENDIF
436
437	!
438	!-- Passive scalar flux
439	IF ( passive_scalar ) THEN
440	sums_l(k,48,tn) = sums_l(k,48,tn) &
441	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
442	* ( q(k+1,j,i) - q(k,j,i) ) &
443	* ddzu(k+1) * rmask(j,i,sr)
444	ENDIF
445
446	ENDDO
447
448	!
449	!-- Subgridscale fluxes in the Prandtl layer
450	IF ( use_surface_fluxes ) THEN
451	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
452	usws(j,i) * rmask(j,i,sr) ! w"u"
453	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
454	vsws(j,i) * rmask(j,i,sr) ! w"v"
455	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
456	shf(j,i) * rmask(j,i,sr) ! w"pt"
457	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
458	0.0 * rmask(j,i,sr) ! u"pt"
459	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
460	0.0 * rmask(j,i,sr) ! v"pt"
461	IF ( ocean ) THEN
462	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
463	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
464	ENDIF
465	IF ( humidity ) THEN
466	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
467	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
468	IF ( cloud_physics ) THEN
469	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
470	( 1.0 + 0.61 * q(nzb,j,i) ) * &
471	shf(j,i) + 0.61 * pt(nzb,j,i) * &
472	qsws(j,i) &
473	)
474	!
475	!-- Formula does not work if ql(nzb) /= 0.0
476	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
477	qsws(j,i) * rmask(j,i,sr)
478	ENDIF
479	ENDIF
480	IF ( passive_scalar ) THEN
481	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
482	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
483	ENDIF
484	ENDIF
485
486	!
487	!-- Subgridscale fluxes at the top surface
488	IF ( use_top_fluxes ) THEN
489	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
490	uswst(j,i) * rmask(j,i,sr) ! w"u"
491	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
492	vswst(j,i) * rmask(j,i,sr) ! w"v"
493	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
494	tswst(j,i) * rmask(j,i,sr) ! w"pt"
495	sums_l(nzt,58,tn) = sums_l(nzt,58,tn) + &
496	0.0 * rmask(j,i,sr) ! u"pt"
497	sums_l(nzt,61,tn) = sums_l(nzt,61,tn) + &
498	0.0 * rmask(j,i,sr) ! v"pt"
499	IF ( ocean ) THEN
500	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
501	saswst(j,i) * rmask(j,i,sr) ! w"sa"
502	ENDIF
503	IF ( humidity ) THEN
504	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
505	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
506	IF ( cloud_physics ) THEN
507	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
508	( 1.0 + 0.61 * q(nzt,j,i) ) * &
509	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
510	qsws(j,i) &
511	)
512	!
513	!-- Formula does not work if ql(nzb) /= 0.0
514	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
515	qswst(j,i) * rmask(j,i,sr)
516	ENDIF
517	ENDIF
518	IF ( passive_scalar ) THEN
519	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
520	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
521	ENDIF
522	ENDIF
523
524	!
525	!-- Resolved fluxes (can be computed for all horizontal points)
526	!-- NOTE: for simplicity, nzb_s_outer is used below, although strictly
527	!-- ---- speaking the following k-loop would have to be split up and
528	!-- rearranged according to the staggered grid.
529	DO k = nzb_s_outer(j,i), nzt
530	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
531	u(k+1,j,i) - hom(k+1,1,1,sr) )
532	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
533	v(k+1,j,i) - hom(k+1,1,2,sr) )
534	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
535	pt(k+1,j,i) - hom(k+1,1,4,sr) )
536	!
537	!-- Momentum flux wu
538	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
539	( w(k,j,i-1) + w(k,j,i) ) &
540	* ust * rmask(j,i,sr)
541	!
542	!-- Momentum flux wv
543	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
544	( w(k,j-1,i) + w(k,j,i) ) &
545	* vst * rmask(j,i,sr)
546	!
547	!-- Heat flux wpt
548	!-- The following formula (comment line, not executed) does not
549	!-- work if applied to subregions
550	! sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
551	! ( pt(k,j,i)+pt(k+1,j,i) ) &
552	! * w(k,j,i) * rmask(j,i,sr)
553	sums_l(k,17,tn) = sums_l(k,17,tn) + pts * w(k,j,i) * &
554	rmask(j,i,sr)
555	!
556	!-- Higher moments
557	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
558	rmask(j,i,sr)
559	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
560	rmask(j,i,sr)
561
562	!
563	!-- Salinity flux and density (density does not belong to here,
564	!-- but so far there is no other suitable place to calculate)
565	IF ( ocean ) THEN
566	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
567	sa(k+1,j,i) - hom(k+1,1,23,sr) )
568	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
569	rmask(j,i,sr)
570	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
571	rmask(j,i,sr)
572	ENDIF
573
574	!
575	!-- Buoyancy flux, water flux, humidity flux and liquid water
576	!-- content
577	IF ( humidity ) THEN
578	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
579	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
580	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
581	rmask(j,i,sr)
582	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
583	q(k+1,j,i) - hom(k+1,1,41,sr) )
584	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
585	rmask(j,i,sr)
586	IF ( cloud_physics .OR. cloud_droplets ) THEN
587	pts = 0.5 * &
588	( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) &
589	+ ( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) )
590	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
591	rmask(j,i,sr)
592	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
593	rmask(j,i,sr)
594	ENDIF
595	ENDIF
596
597	!
598	!-- Passive scalar flux
599	IF ( passive_scalar ) THEN
600	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
601	q(k+1,j,i) - hom(k+1,1,41,sr) )
602	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
603	rmask(j,i,sr)
604	ENDIF
605
606	!
607	!-- Energy flux we
608	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
609	( ust2 + vst2 + w(k,j,i)**2 )&
610	* rmask(j,i,sr)
611
612	ENDDO
613	ENDDO
614	ENDDO
615
616	!
617	!-- Density at top follows Neumann condition
618	IF ( ocean ) sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
619
620	!
621	!-- Divergence of vertical flux of resolved scale energy and pressure
622	!-- fluctuations. First calculate the products, then the divergence.
623	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
624	IF ( hom(nzb+1,2,55,0) /= 0.0 ) THEN
625
626	sums_ll = 0.0 ! local array
627
628	!$OMP DO
629	DO i = nxl, nxr
630	DO j = nys, nyn
631	DO k = nzb_s_outer(j,i)+1, nzt
632
633	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
634	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
635	- 2.0 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
636	) )**2 &
637	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
638	- 2.0 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
639	) )**2 &
640	+ w(k,j,i)**2 )
641
642	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
643	* ( p(k,j,i) + p(k+1,j,i) )
644
645	ENDDO
646	ENDDO
647	ENDDO
648	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
649	sums_ll(nzt+1,1) = 0.0
650	sums_ll(0,2) = 0.0
651	sums_ll(nzt+1,2) = 0.0
652
653	DO k = nzb_s_outer(j,i)+1, nzt
654	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
655	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
656	ENDDO
657	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
658	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
659
660	ENDIF
661
662	!
663	!-- Divergence of vertical flux of SGS TKE
664	IF ( hom(nzb+1,2,57,0) /= 0.0 ) THEN
665
666	!$OMP DO
667	DO i = nxl, nxr
668	DO j = nys, nyn
669	DO k = nzb_s_outer(j,i)+1, nzt
670
671	sums_l(k,57,tn) = sums_l(k,57,tn) + ( &
672	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
673	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
674	) * ddzw(k)
675
676	ENDDO
677	ENDDO
678	ENDDO
679	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
680
681	ENDIF
682
683	!
684	!-- Horizontal heat fluxes (subgrid, resolved, total).
685	!-- Do it only, if profiles shall be plotted.
686	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
687
688	!$OMP DO
689	DO i = nxl, nxr
690	DO j = nys, nyn
691	DO k = nzb_s_outer(j,i)+1, nzt
692	!
693	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
694	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
695	( kh(k,j,i) + kh(k,j,i-1) ) &
696	* ( pt(k,j,i-1) - pt(k,j,i) ) &
697	* ddx * rmask(j,i,sr)
698	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
699	( kh(k,j,i) + kh(k,j-1,i) ) &
700	* ( pt(k,j-1,i) - pt(k,j,i) ) &
701	* ddy * rmask(j,i,sr)
702	!
703	!-- Resolved horizontal heat fluxes upt, vpt
704	sums_l(k,59,tn) = sums_l(k,59,tn) + &
705	( u(k,j,i) - hom(k,1,1,sr) ) &
706	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
707	pt(k,j,i) - hom(k,1,4,sr) )
708	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
709	pt(k,j,i) - hom(k,1,4,sr) )
710	sums_l(k,62,tn) = sums_l(k,62,tn) + &
711	( v(k,j,i) - hom(k,1,2,sr) ) &
712	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
713	pt(k,j,i) - hom(k,1,4,sr) )
714	ENDDO
715	ENDDO
716	ENDDO
717	!
718	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
719	sums_l(nzb,58,tn) = 0.0
720	sums_l(nzb,59,tn) = 0.0
721	sums_l(nzb,60,tn) = 0.0
722	sums_l(nzb,61,tn) = 0.0
723	sums_l(nzb,62,tn) = 0.0
724	sums_l(nzb,63,tn) = 0.0
725
726	ENDIF
727
728	!
729	!-- Calculate the user-defined profiles
730	CALL user_statistics( 'profiles', sr, tn )
731	!$OMP END PARALLEL
732
733	!
734	!-- Summation of thread sums
735	IF ( threads_per_task > 1 ) THEN
736	DO i = 1, threads_per_task-1
737	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
738	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
739	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
740	sums_l(:,45:pr_palm,i)
741	IF ( max_pr_user > 0 ) THEN
742	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
743	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
744	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
745	ENDIF
746	ENDDO
747	ENDIF
748
749	#if defined( __parallel )
750	!
751	!-- Compute total sum from local sums
752	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
753	MPI_SUM, comm2d, ierr )
754	#else
755	sums = sums_l(:,:,0)
756	#endif
757
758	!
759	!-- Final values are obtained by division by the total number of grid points
760	!-- used for summation. After that store profiles.
761	!-- Profiles:
762	DO k = nzb, nzt+1
763	sums(k,:pr_palm-2) = sums(k,:pr_palm-2) / ngp_2dh_outer(k,sr)
764	ENDDO
765	!-- Upstream-parts
766	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
767	!-- u* and so on
768	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
769	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
770	!-- above the topography, they are being divided by ngp_2dh(sr)
771	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
772	ngp_2dh(sr)
773	!-- eges, e*
774	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
775	ngp_3d_inner(sr)
776	!-- Old and new divergence
777	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
778	ngp_3d_inner(sr)
779
780	!-- User-defined profiles
781	IF ( max_pr_user > 0 ) THEN
782	DO k = nzb, nzt+1
783	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
784	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
785	ngp_2dh_outer(k,sr)
786	ENDDO
787	ENDIF
788
789	!
790	!-- Collect horizontal average in hom.
791	!-- Compute deduced averages (e.g. total heat flux)
792	hom(:,1,3,sr) = sums(:,3) ! w
793	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
794	hom(:,1,9,sr) = sums(:,9) ! km
795	hom(:,1,10,sr) = sums(:,10) ! kh
796	hom(:,1,11,sr) = sums(:,11) ! l
797	hom(:,1,12,sr) = sums(:,12) ! w"u"
798	hom(:,1,13,sr) = sums(:,13) ! wu
799	hom(:,1,14,sr) = sums(:,14) ! w"v"
800	hom(:,1,15,sr) = sums(:,15) ! wv
801	hom(:,1,16,sr) = sums(:,16) ! w"pt"
802	hom(:,1,17,sr) = sums(:,17) ! wpt
803	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
804	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
805	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
806	hom(:,1,21,sr) = sums(:,21) ! wptBC
807	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
808	! profile 24 is initial profile (sa)
809	! profiles 25-29 left empty for initial
810	! profiles
811	hom(:,1,30,sr) = sums(:,30) ! u*2
812	hom(:,1,31,sr) = sums(:,31) ! v*2
813	hom(:,1,32,sr) = sums(:,32) ! w*2
814	hom(:,1,33,sr) = sums(:,33) ! pt*2
815	hom(:,1,34,sr) = sums(:,34) ! e*
816	hom(:,1,35,sr) = sums(:,35) ! w2pt
817	hom(:,1,36,sr) = sums(:,36) ! wpt2
818	hom(:,1,37,sr) = sums(:,37) ! we
819	hom(:,1,38,sr) = sums(:,38) ! w*3
820	hom(:,1,39,sr) = sums(:,38) / ( sums(:,32) + 1E-20 )**1.5 ! Sw
821	hom(:,1,40,sr) = sums(:,40) ! p
822	hom(:,1,45,sr) = sums(:,45) ! w"q"
823	hom(:,1,46,sr) = sums(:,46) ! wvpt
824	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
825	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
826	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
827	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
828	hom(:,1,51,sr) = sums(:,51) ! w"qv"
829	hom(:,1,52,sr) = sums(:,52) ! wqv
830	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
831	hom(:,1,54,sr) = sums(:,54) ! ql
832	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
833	hom(:,1,56,sr) = sums(:,56) ! wp/dz
834	hom(:,1,57,sr) = sums(:,57) ! w"e/dz
835	hom(:,1,58,sr) = sums(:,58) ! u"pt"
836	hom(:,1,59,sr) = sums(:,59) ! upt
837	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
838	hom(:,1,61,sr) = sums(:,61) ! v"pt"
839	hom(:,1,62,sr) = sums(:,62) ! vpt
840	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
841	hom(:,1,64,sr) = sums(:,64) ! rho
842	hom(:,1,65,sr) = sums(:,65) ! w"sa"
843	hom(:,1,66,sr) = sums(:,66) ! wsa
844	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
845
846	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
847	! upstream-parts u_x, u_y, u_z, v_x,
848	! v_y, usw. (in last but one profile)
849	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
850	! u, w'u', w'v', t (in last profile)
851
852	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
853	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
854	sums(:,pr_palm+1:pr_palm+max_pr_user)
855	ENDIF
856
857	!
858	!-- Determine the boundary layer height using two different schemes.
859	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
860	!-- first relative minimum (maximum) of the total heat flux.
861	!-- The corresponding height is assumed as the boundary layer height, if it
862	!-- is less than 1.5 times the height where the heat flux becomes negative
863	!-- (positive) for the first time.
864	!-- NOTE: This criterion is still capable of improving!
865	z_i(1) = 0.0
866	first = .TRUE.
867	IF ( ocean ) THEN
868	DO k = nzt, nzb+1, -1
869	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
870	first = .FALSE.
871	height = zw(k)
872	ENDIF
873	IF ( hom(k,1,18,sr) < 0.0 .AND. &
874	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
875	IF ( zw(k) < 1.5 * height ) THEN
876	z_i(1) = zw(k)
877	ELSE
878	z_i(1) = height
879	ENDIF
880	EXIT
881	ENDIF
882	ENDDO
883	ELSE
884	DO k = nzb, nzt-1
885	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
886	first = .FALSE.
887	height = zw(k)
888	ENDIF
889	IF ( hom(k,1,18,sr) < 0.0 .AND. &
890	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
891	IF ( zw(k) < 1.5 * height ) THEN
892	z_i(1) = zw(k)
893	ELSE
894	z_i(1) = height
895	ENDIF
896	EXIT
897	ENDIF
898	ENDDO
899	ENDIF
900
901	!
902	!-- Second scheme: Starting from the top/bottom model boundary, look for
903	!-- the first characteristic kink in the temperature profile, where the
904	!-- originally stable stratification notably weakens.
905	z_i(2) = 0.0
906	IF ( ocean ) THEN
907	DO k = nzb+1, nzt-1
908	IF ( ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) > &
909	2.0 * ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) ) THEN
910	z_i(2) = zu(k)
911	EXIT
912	ENDIF
913	ENDDO
914	ELSE
915	DO k = nzt-1, nzb+1, -1
916	IF ( ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) > &
917	2.0 * ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) ) THEN
918	z_i(2) = zu(k)
919	EXIT
920	ENDIF
921	ENDDO
922	ENDIF
923
924	hom(nzb+6,1,pr_palm,sr) = z_i(1)
925	hom(nzb+7,1,pr_palm,sr) = z_i(2)
926
927	!
928	!-- Computation of both the characteristic vertical velocity and
929	!-- the characteristic convective boundary layer temperature.
930	!-- The horizontal average at nzb+1 is input for the average temperature.
931	IF ( hom(nzb,1,18,sr) > 0.0 .AND. z_i(1) /= 0.0 ) THEN
932	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
933	hom(nzb,1,18,sr) * &
934	ABS( z_i(1) ) )**0.333333333
935	!-- so far this only works if Prandtl layer is used
936	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
937	ELSE
938	hom(nzb+8,1,pr_palm,sr) = 0.0
939	hom(nzb+11,1,pr_palm,sr) = 0.0
940	ENDIF
941
942	!
943	!-- Collect the time series quantities
944	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
945	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
946	ts_value(3,sr) = dt_3d
947	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
948	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
949	ts_value(6,sr) = u_max
950	ts_value(7,sr) = v_max
951	ts_value(8,sr) = w_max
952	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
953	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
954	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
955	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
956	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
957	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
958	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
959	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
960	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
961	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
962	ts_value(19,sr) = hom(nzb+9,1,pr_palm-1,sr) ! splptx
963	ts_value(20,sr) = hom(nzb+10,1,pr_palm-1,sr) ! splpty
964	ts_value(21,sr) = hom(nzb+11,1,pr_palm-1,sr) ! splptz
965	IF ( ts_value(5,sr) /= 0.0 ) THEN
966	ts_value(22,sr) = ts_value(4,sr)**2 / &
967	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
968	ELSE
969	ts_value(22,sr) = 10000.0
970	ENDIF
971
972	!
973	!-- Calculate additional statistics provided by the user interface
974	CALL user_statistics( 'time_series', sr, 0 )
975
976	ENDDO ! loop of the subregions
977
978	!
979	!-- If required, sum up horizontal averages for subsequent time averaging
980	IF ( do_sum ) THEN
981	IF ( average_count_pr == 0 ) hom_sum = 0.0
982	hom_sum = hom_sum + hom(:,1,:,:)
983	average_count_pr = average_count_pr + 1
984	do_sum = .FALSE.
985	ENDIF
986
987	!
988	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
989	!-- This flag is reset after each time step in time_integration.
990	flow_statistics_called = .TRUE.
991
992	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
993
994
995	END SUBROUTINE flow_statistics
996
997
998

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