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source: palm/trunk/SOURCE/flow_statistics.f90 @ 181

Last change on this file since 181 was 142, checked in by letzel, 17 years ago
Bugfix in plant_canopy_model: remove IF statement in plant_canopy_model_ij Bugfix in flow_statistics: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr) (like other scalars)
Property svn:keywords set to `Id`
File size: 44.4 KB

Line
1	SUBROUTINE flow_statistics
2
3	!------------------------------------------------------------------------------!
4	! Actual revisions:
5	! -----------------
6	! Bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
7	! (like other scalars)
8	!
9	! Former revisions:
10	! -----------------
11	! $Id: flow_statistics.f90 142 2007-12-04 12:36:44Z raasch $
12	!
13	! 133 2007-11-20 10:10:53Z letzel
14	! Vertical profiles now based on nzb_s_inner; they are divided by
15	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
16	! velocity components and their products, procucts of scalars and velocity
17	! components), respectively.
18	!
19	! 106 2007-08-16 14:30:26Z raasch
20	! Prescribed momentum fluxes at the top surface are used,
21	! profiles for wp and w"e are calculated
22	!
23	! 97 2007-06-21 08:23:15Z raasch
24	! Statistics for ocean version (salinity, density) added,
25	! calculation of z_i and Deardorff velocity scale adjusted to be used with
26	! the ocean version
27	!
28	! 87 2007-05-22 15:46:47Z raasch
29	! Two more arguments added to user_statistics, which is now also called for
30	! user-defined profiles,
31	! var_hom and var_sum renamed pr_palm
32	!
33	! 82 2007-04-16 15:40:52Z raasch
34	! Cpp-directive lcmuk changed to intel_openmp_bug
35	!
36	! 75 2007-03-22 09:54:05Z raasch
37	! Collection of time series quantities moved from routine flow_statistics to
38	! here, routine user_statistics is called for each statistic region,
39	! moisture renamed humidity
40	!
41	! 19 2007-02-23 04:53:48Z raasch
42	! fluxes at top modified (tswst, qswst)
43	!
44	! RCS Log replace by Id keyword, revision history cleaned up
45	!
46	! Revision 1.41 2006/08/04 14:37:50 raasch
47	! Error removed in non-parallel part (sums_l)
48	!
49	! Revision 1.1 1997/08/11 06:15:17 raasch
50	! Initial revision
51	!
52	!
53	! Description:
54	! ------------
55	! Compute average profiles and further average flow quantities for the different
56	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
57	!
58	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
59	! ---- lower vertical index for k-loops for all variables, although strictly
60	! speaking the k-loops would have to be split up according to the staggered
61	! grid. However, this implies no error since staggered velocity components are
62	! zero at the walls and inside buildings.
63	!------------------------------------------------------------------------------!
64
65	USE arrays_3d
66	USE cloud_parameters
67	USE cpulog
68	USE grid_variables
69	USE indices
70	USE interfaces
71	USE pegrid
72	USE statistics
73	USE control_parameters
74
75	IMPLICIT NONE
76
77	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
78	LOGICAL :: first
79	REAL :: height, pts, sums_l_eper, sums_l_etot, ust, ust2, u2, vst, &
80	vst2, v2, w2, z_i(2)
81	REAL :: sums_ll(nzb:nzt+1,2)
82
83
84	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
85
86	!
87	!-- To be on the safe side, check whether flow_statistics has already been
88	!-- called once after the current time step
89	IF ( flow_statistics_called ) THEN
90	IF ( myid == 0 ) PRINT*, '+++ WARNING: flow_statistics is called two', &
91	' times within one timestep'
92	CALL local_stop
93	ENDIF
94
95	!
96	!-- Compute statistics for each (sub-)region
97	DO sr = 0, statistic_regions
98
99	!
100	!-- Initialize (local) summation array
101	sums_l = 0.0
102
103	!
104	!-- Store sums that have been computed in other subroutines in summation
105	!-- array
106	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
107	!-- WARNING: next line still has to be adjusted for OpenMP
108	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
109	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
110	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
111	!-- WARNING: next four lines still may have to be adjusted for OpenMP
112	sums_l(nzb:nzb+2,pr_palm-1,0) = sums_up_fraction_l(1,1:3,sr)! upstream
113	sums_l(nzb+3:nzb+5,pr_palm-1,0) = sums_up_fraction_l(2,1:3,sr)! parts
114	sums_l(nzb+6:nzb+8,pr_palm-1,0) = sums_up_fraction_l(3,1:3,sr)! from
115	sums_l(nzb+9:nzb+11,pr_palm-1,0) = sums_up_fraction_l(4,1:3,sr)! spline
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	ENDDO
383	ENDDO
384
385	!
386	!-- Horizontally averaged profiles of the vertical fluxes
387	!$OMP DO
388	DO i = nxl, nxr
389	DO j = nys, nyn
390	!
391	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
392	!-- oterwise from k=nzb+1)
393	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
394	!-- ---- strictly speaking the following k-loop would have to be
395	!-- split up according to the staggered grid.
396	!-- However, this implies no error since staggered velocity
397	!-- components are zero at the walls and inside buildings.
398
399	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
400	!
401	!-- Momentum flux w"u"
402	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
403	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
404	) * ( &
405	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
406	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
407	) * rmask(j,i,sr)
408	!
409	!-- Momentum flux w"v"
410	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
411	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
412	) * ( &
413	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
414	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
415	) * rmask(j,i,sr)
416	!
417	!-- Heat flux w"pt"
418	sums_l(k,16,tn) = sums_l(k,16,tn) &
419	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
420	* ( pt(k+1,j,i) - pt(k,j,i) ) &
421	* ddzu(k+1) * rmask(j,i,sr)
422
423
424	!
425	!-- Salinity flux w"sa"
426	IF ( ocean ) THEN
427	sums_l(k,65,tn) = sums_l(k,65,tn) &
428	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
429	* ( sa(k+1,j,i) - sa(k,j,i) ) &
430	* ddzu(k+1) * rmask(j,i,sr)
431	ENDIF
432
433	!
434	!-- Buoyancy flux, water flux (humidity flux) w"q"
435	IF ( humidity ) THEN
436	sums_l(k,45,tn) = sums_l(k,45,tn) &
437	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
438	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
439	* ddzu(k+1) * rmask(j,i,sr)
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	IF ( cloud_physics ) THEN
445	sums_l(k,51,tn) = sums_l(k,51,tn) &
446	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
447	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
448	- ( q(k,j,i) - ql(k,j,i) ) ) &
449	* ddzu(k+1) * rmask(j,i,sr)
450	ENDIF
451	ENDIF
452
453	!
454	!-- Passive scalar flux
455	IF ( passive_scalar ) THEN
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	ENDIF
461
462	ENDDO
463
464	!
465	!-- Subgridscale fluxes in the Prandtl layer
466	IF ( use_surface_fluxes ) THEN
467	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
468	usws(j,i) * rmask(j,i,sr) ! w"u"
469	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
470	vsws(j,i) * rmask(j,i,sr) ! w"v"
471	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
472	shf(j,i) * rmask(j,i,sr) ! w"pt"
473	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
474	0.0 * rmask(j,i,sr) ! u"pt"
475	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
476	0.0 * rmask(j,i,sr) ! v"pt"
477	IF ( ocean ) THEN
478	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
479	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
480	ENDIF
481	IF ( humidity ) THEN
482	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
483	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
484	IF ( cloud_physics ) THEN
485	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
486	( 1.0 + 0.61 * q(nzb,j,i) ) * &
487	shf(j,i) + 0.61 * pt(nzb,j,i) * &
488	qsws(j,i) &
489	)
490	!
491	!-- Formula does not work if ql(nzb) /= 0.0
492	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
493	qsws(j,i) * rmask(j,i,sr)
494	ENDIF
495	ENDIF
496	IF ( passive_scalar ) THEN
497	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
498	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
499	ENDIF
500	ENDIF
501
502	!
503	!-- Subgridscale fluxes at the top surface
504	IF ( use_top_fluxes ) THEN
505	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
506	uswst(j,i) * rmask(j,i,sr) ! w"u"
507	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
508	vswst(j,i) * rmask(j,i,sr) ! w"v"
509	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
510	tswst(j,i) * rmask(j,i,sr) ! w"pt"
511	sums_l(nzt,58,tn) = sums_l(nzt,58,tn) + &
512	0.0 * rmask(j,i,sr) ! u"pt"
513	sums_l(nzt,61,tn) = sums_l(nzt,61,tn) + &
514	0.0 * rmask(j,i,sr) ! v"pt"
515	IF ( ocean ) THEN
516	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
517	saswst(j,i) * rmask(j,i,sr) ! w"sa"
518	ENDIF
519	IF ( humidity ) THEN
520	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
521	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
522	IF ( cloud_physics ) THEN
523	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
524	( 1.0 + 0.61 * q(nzt,j,i) ) * &
525	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
526	qsws(j,i) &
527	)
528	!
529	!-- Formula does not work if ql(nzb) /= 0.0
530	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
531	qswst(j,i) * rmask(j,i,sr)
532	ENDIF
533	ENDIF
534	IF ( passive_scalar ) THEN
535	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
536	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
537	ENDIF
538	ENDIF
539
540	!
541	!-- Resolved fluxes (can be computed for all horizontal points)
542	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
543	!-- ---- speaking the following k-loop would have to be split up and
544	!-- rearranged according to the staggered grid.
545	DO k = nzb_s_inner(j,i), nzt
546	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
547	u(k+1,j,i) - hom(k+1,1,1,sr) )
548	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
549	v(k+1,j,i) - hom(k+1,1,2,sr) )
550	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
551	pt(k+1,j,i) - hom(k+1,1,4,sr) )
552	!
553	!-- Momentum flux wu
554	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
555	( w(k,j,i-1) + w(k,j,i) ) &
556	* ust * rmask(j,i,sr)
557	!
558	!-- Momentum flux wv
559	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
560	( w(k,j-1,i) + w(k,j,i) ) &
561	* vst * rmask(j,i,sr)
562	!
563	!-- Heat flux wpt
564	!-- The following formula (comment line, not executed) does not
565	!-- work if applied to subregions
566	! sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
567	! ( pt(k,j,i)+pt(k+1,j,i) ) &
568	! * w(k,j,i) * rmask(j,i,sr)
569	sums_l(k,17,tn) = sums_l(k,17,tn) + pts * w(k,j,i) * &
570	rmask(j,i,sr)
571	!
572	!-- Higher moments
573	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
574	rmask(j,i,sr)
575	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
576	rmask(j,i,sr)
577
578	!
579	!-- Salinity flux and density (density does not belong to here,
580	!-- but so far there is no other suitable place to calculate)
581	IF ( ocean ) THEN
582	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
583	sa(k+1,j,i) - hom(k+1,1,23,sr) )
584	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
585	rmask(j,i,sr)
586	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
587	rmask(j,i,sr)
588	ENDIF
589
590	!
591	!-- Buoyancy flux, water flux, humidity flux and liquid water
592	!-- content
593	IF ( humidity ) THEN
594	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
595	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
596	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
597	rmask(j,i,sr)
598	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
599	q(k+1,j,i) - hom(k+1,1,41,sr) )
600	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
601	rmask(j,i,sr)
602	IF ( cloud_physics .OR. cloud_droplets ) THEN
603	pts = 0.5 * &
604	( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) &
605	+ ( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) )
606	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
607	rmask(j,i,sr)
608	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
609	rmask(j,i,sr)
610	ENDIF
611	ENDIF
612
613	!
614	!-- Passive scalar flux
615	IF ( passive_scalar ) THEN
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	ENDIF
621
622	!
623	!-- Energy flux we
624	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
625	( ust2 + vst2 + w(k,j,i)**2 )&
626	* rmask(j,i,sr)
627
628	ENDDO
629	ENDDO
630	ENDDO
631
632	!
633	!-- Density at top follows Neumann condition
634	IF ( ocean ) sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
635
636	!
637	!-- Divergence of vertical flux of resolved scale energy and pressure
638	!-- fluctuations as well as flux of pressure fluctuation itself (68).
639	!-- First calculate the products, then the divergence.
640	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
641	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
642
643	sums_ll = 0.0 ! local array
644
645	!$OMP DO
646	DO i = nxl, nxr
647	DO j = nys, nyn
648	DO k = nzb_s_inner(j,i)+1, nzt
649
650	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
651	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
652	- 2.0 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
653	) )**2 &
654	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
655	- 2.0 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
656	) )**2 &
657	+ w(k,j,i)**2 )
658
659	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
660	* ( p(k,j,i) + p(k+1,j,i) )
661
662	ENDDO
663	ENDDO
664	ENDDO
665	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
666	sums_ll(nzt+1,1) = 0.0
667	sums_ll(0,2) = 0.0
668	sums_ll(nzt+1,2) = 0.0
669
670	DO k = nzb_s_inner(j,i)+1, nzt
671	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
672	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
673	sums_l(k,68,tn) = sums_ll(k,2)
674	ENDDO
675	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
676	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
677	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
678
679	ENDIF
680
681	!
682	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
683	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
684
685	!$OMP DO
686	DO i = nxl, nxr
687	DO j = nys, nyn
688	DO k = nzb_s_inner(j,i)+1, nzt
689
690	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
691	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
692	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
693	) * ddzw(k)
694
695	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
696	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
697	)
698
699	ENDDO
700	ENDDO
701	ENDDO
702	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
703	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
704
705	ENDIF
706
707	!
708	!-- Horizontal heat fluxes (subgrid, resolved, total).
709	!-- Do it only, if profiles shall be plotted.
710	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
711
712	!$OMP DO
713	DO i = nxl, nxr
714	DO j = nys, nyn
715	DO k = nzb_s_inner(j,i)+1, nzt
716	!
717	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
718	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
719	( kh(k,j,i) + kh(k,j,i-1) ) &
720	* ( pt(k,j,i-1) - pt(k,j,i) ) &
721	* ddx * rmask(j,i,sr)
722	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
723	( kh(k,j,i) + kh(k,j-1,i) ) &
724	* ( pt(k,j-1,i) - pt(k,j,i) ) &
725	* ddy * rmask(j,i,sr)
726	!
727	!-- Resolved horizontal heat fluxes upt, vpt
728	sums_l(k,59,tn) = sums_l(k,59,tn) + &
729	( u(k,j,i) - hom(k,1,1,sr) ) &
730	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
731	pt(k,j,i) - hom(k,1,4,sr) )
732	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
733	pt(k,j,i) - hom(k,1,4,sr) )
734	sums_l(k,62,tn) = sums_l(k,62,tn) + &
735	( v(k,j,i) - hom(k,1,2,sr) ) &
736	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
737	pt(k,j,i) - hom(k,1,4,sr) )
738	ENDDO
739	ENDDO
740	ENDDO
741	!
742	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
743	sums_l(nzb,58,tn) = 0.0
744	sums_l(nzb,59,tn) = 0.0
745	sums_l(nzb,60,tn) = 0.0
746	sums_l(nzb,61,tn) = 0.0
747	sums_l(nzb,62,tn) = 0.0
748	sums_l(nzb,63,tn) = 0.0
749
750	ENDIF
751
752	!
753	!-- Calculate the user-defined profiles
754	CALL user_statistics( 'profiles', sr, tn )
755	!$OMP END PARALLEL
756
757	!
758	!-- Summation of thread sums
759	IF ( threads_per_task > 1 ) THEN
760	DO i = 1, threads_per_task-1
761	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
762	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
763	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
764	sums_l(:,45:pr_palm,i)
765	IF ( max_pr_user > 0 ) THEN
766	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
767	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
768	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
769	ENDIF
770	ENDDO
771	ENDIF
772
773	#if defined( __parallel )
774	!
775	!-- Compute total sum from local sums
776	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
777	MPI_SUM, comm2d, ierr )
778	#else
779	sums = sums_l(:,:,0)
780	#endif
781
782	!
783	!-- Final values are obtained by division by the total number of grid points
784	!-- used for summation. After that store profiles.
785	!-- Profiles:
786	DO k = nzb, nzt+1
787	sums(k,3) = sums(k,3) / ngp_2dh(sr)
788	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
789	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
790	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
791	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
792	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
793	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
794	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
795	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
796	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
797	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
798	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
799	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
800	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
801	ENDDO
802	!-- Upstream-parts
803	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
804	!-- u* and so on
805	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
806	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
807	!-- above the topography, they are being divided by ngp_2dh(sr)
808	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
809	ngp_2dh(sr)
810	!-- eges, e*
811	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
812	ngp_3d(sr)
813	!-- Old and new divergence
814	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
815	ngp_3d_inner(sr)
816
817	!-- User-defined profiles
818	IF ( max_pr_user > 0 ) THEN
819	DO k = nzb, nzt+1
820	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
821	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
822	ngp_2dh_s_inner(k,sr)
823	ENDDO
824	ENDIF
825
826	!
827	!-- Collect horizontal average in hom.
828	!-- Compute deduced averages (e.g. total heat flux)
829	hom(:,1,3,sr) = sums(:,3) ! w
830	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
831	hom(:,1,9,sr) = sums(:,9) ! km
832	hom(:,1,10,sr) = sums(:,10) ! kh
833	hom(:,1,11,sr) = sums(:,11) ! l
834	hom(:,1,12,sr) = sums(:,12) ! w"u"
835	hom(:,1,13,sr) = sums(:,13) ! wu
836	hom(:,1,14,sr) = sums(:,14) ! w"v"
837	hom(:,1,15,sr) = sums(:,15) ! wv
838	hom(:,1,16,sr) = sums(:,16) ! w"pt"
839	hom(:,1,17,sr) = sums(:,17) ! wpt
840	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
841	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
842	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
843	hom(:,1,21,sr) = sums(:,21) ! wptBC
844	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
845	! profile 24 is initial profile (sa)
846	! profiles 25-29 left empty for initial
847	! profiles
848	hom(:,1,30,sr) = sums(:,30) ! u*2
849	hom(:,1,31,sr) = sums(:,31) ! v*2
850	hom(:,1,32,sr) = sums(:,32) ! w*2
851	hom(:,1,33,sr) = sums(:,33) ! pt*2
852	hom(:,1,34,sr) = sums(:,34) ! e*
853	hom(:,1,35,sr) = sums(:,35) ! w2pt
854	hom(:,1,36,sr) = sums(:,36) ! wpt2
855	hom(:,1,37,sr) = sums(:,37) ! we
856	hom(:,1,38,sr) = sums(:,38) ! w*3
857	hom(:,1,39,sr) = sums(:,38) / ( sums(:,32) + 1E-20 )**1.5 ! Sw
858	hom(:,1,40,sr) = sums(:,40) ! p
859	hom(:,1,45,sr) = sums(:,45) ! w"q"
860	hom(:,1,46,sr) = sums(:,46) ! wvpt
861	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
862	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
863	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
864	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
865	hom(:,1,51,sr) = sums(:,51) ! w"qv"
866	hom(:,1,52,sr) = sums(:,52) ! wqv
867	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
868	hom(:,1,54,sr) = sums(:,54) ! ql
869	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
870	hom(:,1,56,sr) = sums(:,56) ! wp/dz
871	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
872	hom(:,1,58,sr) = sums(:,58) ! u"pt"
873	hom(:,1,59,sr) = sums(:,59) ! upt
874	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
875	hom(:,1,61,sr) = sums(:,61) ! v"pt"
876	hom(:,1,62,sr) = sums(:,62) ! vpt
877	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
878	hom(:,1,64,sr) = sums(:,64) ! rho
879	hom(:,1,65,sr) = sums(:,65) ! w"sa"
880	hom(:,1,66,sr) = sums(:,66) ! wsa
881	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
882	hom(:,1,68,sr) = sums(:,68) ! wp
883	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
884
885	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
886	! upstream-parts u_x, u_y, u_z, v_x,
887	! v_y, usw. (in last but one profile)
888	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
889	! u, w'u', w'v', t (in last profile)
890
891	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
892	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
893	sums(:,pr_palm+1:pr_palm+max_pr_user)
894	ENDIF
895
896	!
897	!-- Determine the boundary layer height using two different schemes.
898	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
899	!-- first relative minimum (maximum) of the total heat flux.
900	!-- The corresponding height is assumed as the boundary layer height, if it
901	!-- is less than 1.5 times the height where the heat flux becomes negative
902	!-- (positive) for the first time.
903	!-- NOTE: This criterion is still capable of improving!
904	z_i(1) = 0.0
905	first = .TRUE.
906	IF ( ocean ) THEN
907	DO k = nzt, nzb+1, -1
908	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
909	first = .FALSE.
910	height = zw(k)
911	ENDIF
912	IF ( hom(k,1,18,sr) < 0.0 .AND. &
913	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
914	IF ( zw(k) < 1.5 * height ) THEN
915	z_i(1) = zw(k)
916	ELSE
917	z_i(1) = height
918	ENDIF
919	EXIT
920	ENDIF
921	ENDDO
922	ELSE
923	DO k = nzb, nzt-1
924	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
925	first = .FALSE.
926	height = zw(k)
927	ENDIF
928	IF ( hom(k,1,18,sr) < 0.0 .AND. &
929	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
930	IF ( zw(k) < 1.5 * height ) THEN
931	z_i(1) = zw(k)
932	ELSE
933	z_i(1) = height
934	ENDIF
935	EXIT
936	ENDIF
937	ENDDO
938	ENDIF
939
940	!
941	!-- Second scheme: Starting from the top/bottom model boundary, look for
942	!-- the first characteristic kink in the temperature profile, where the
943	!-- originally stable stratification notably weakens.
944	z_i(2) = 0.0
945	IF ( ocean ) THEN
946	DO k = nzb+1, nzt-1
947	IF ( ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) > &
948	2.0 * ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) ) THEN
949	z_i(2) = zu(k)
950	EXIT
951	ENDIF
952	ENDDO
953	ELSE
954	DO k = nzt-1, nzb+1, -1
955	IF ( ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) > &
956	2.0 * ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) ) THEN
957	z_i(2) = zu(k)
958	EXIT
959	ENDIF
960	ENDDO
961	ENDIF
962
963	hom(nzb+6,1,pr_palm,sr) = z_i(1)
964	hom(nzb+7,1,pr_palm,sr) = z_i(2)
965
966	!
967	!-- Computation of both the characteristic vertical velocity and
968	!-- the characteristic convective boundary layer temperature.
969	!-- The horizontal average at nzb+1 is input for the average temperature.
970	IF ( hom(nzb,1,18,sr) > 0.0 .AND. z_i(1) /= 0.0 ) THEN
971	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
972	hom(nzb,1,18,sr) * &
973	ABS( z_i(1) ) )**0.333333333
974	!-- so far this only works if Prandtl layer is used
975	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
976	ELSE
977	hom(nzb+8,1,pr_palm,sr) = 0.0
978	hom(nzb+11,1,pr_palm,sr) = 0.0
979	ENDIF
980
981	!
982	!-- Collect the time series quantities
983	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
984	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
985	ts_value(3,sr) = dt_3d
986	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
987	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
988	ts_value(6,sr) = u_max
989	ts_value(7,sr) = v_max
990	ts_value(8,sr) = w_max
991	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
992	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
993	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
994	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
995	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
996	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
997	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
998	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
999	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
1000	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
1001	ts_value(19,sr) = hom(nzb+9,1,pr_palm-1,sr) ! splptx
1002	ts_value(20,sr) = hom(nzb+10,1,pr_palm-1,sr) ! splpty
1003	ts_value(21,sr) = hom(nzb+11,1,pr_palm-1,sr) ! splptz
1004	IF ( ts_value(5,sr) /= 0.0 ) THEN
1005	ts_value(22,sr) = ts_value(4,sr)**2 / &
1006	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
1007	ELSE
1008	ts_value(22,sr) = 10000.0
1009	ENDIF
1010
1011	!
1012	!-- Calculate additional statistics provided by the user interface
1013	CALL user_statistics( 'time_series', sr, 0 )
1014
1015	ENDDO ! loop of the subregions
1016
1017	!
1018	!-- If required, sum up horizontal averages for subsequent time averaging
1019	IF ( do_sum ) THEN
1020	IF ( average_count_pr == 0 ) hom_sum = 0.0
1021	hom_sum = hom_sum + hom(:,1,:,:)
1022	average_count_pr = average_count_pr + 1
1023	do_sum = .FALSE.
1024	ENDIF
1025
1026	!
1027	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
1028	!-- This flag is reset after each time step in time_integration.
1029	flow_statistics_called = .TRUE.
1030
1031	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
1032
1033
1034	END SUBROUTINE flow_statistics
1035
1036
1037

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