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flow_statistics.f90 @ 1007

Last change on this file since 1007 was 1007, checked in by franke, 12 years ago

Bugfixes

Missing calculation of mean particle weighting factor for output added. (data_output_2d, data_output_3d, data_output_mask, sum_up_3d_data)
Calculation of mean particle radius for output now considers the weighting factor. (data_output_mask)
Calculation of sugrid-scale buoyancy flux for humidity and cloud droplets corrected. (flow_statistics)
Factor in calculation of enhancement factor for collision efficencies corrected. (lpm_collision_kernels)
Calculation of buoyancy production now considers the liquid water mixing ratio in case of cloud droplets. (production_e)

Changes

Calculation of buoyancy flux for humidity in case of WS-scheme is now using turbulent fluxes of WS-scheme. (flow_statistics)
Calculation of the collision kernels now in SI units. (lpm_collision_kernels)

Property svn:keywords set to Id

File size: 53.3 KB

Line
1	SUBROUTINE flow_statistics
2
3	!------------------------------------------------------------------------------!
4	! Current revisions:
5	! -----------------
6	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
7	! turbulent fluxes of WS-scheme
8	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
9	! droplets at nzb and nzt added
10	!
11	! Former revisions:
12	! -----------------
13	! $Id: flow_statistics.f90 1007 2012-09-19 14:30:36Z franke $
14	!
15	! 801 2012-01-10 17:30:36Z suehring
16	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
17	!
18	! 743 2011-08-18 16:10:16Z suehring
19	! Calculation of turbulent fluxes with WS-scheme only for the whole model
20	! domain, not for user-defined subregions.
21	!
22	! 709 2011-03-30 09:31:40Z raasch
23	! formatting adjustments
24	!
25	! 699 2011-03-22 17:52:22Z suehring
26	! Bugfix in calculation of vertical velocity skewness. The added absolute value
27	! avoid negative values in the root. Negative values of w'w' can occur at the
28	! top or bottom of the model domain due to degrading the order of advection
29	! scheme. Furthermore the calculation will be the same for all advection
30	! schemes.
31	!
32	! 696 2011-03-18 07:03:49Z raasch
33	! Bugfix: Summation of Wicker-Skamarock scheme fluxes and variances for all
34	! threads
35	!
36	! 678 2011-02-02 14:31:56Z raasch
37	! Bugfix in calculation of the divergence of vertical flux of resolved scale
38	! energy, pressure fluctuations, and flux of pressure fluctuation itself
39	!
40	! 673 2011-01-18 16:19:48Z suehring
41	! Top bc for the horizontal velocity variances added for ocean runs.
42	! Setting the corresponding bottom bc moved to advec_ws.
43	!
44	! 667 2010-12-23 12:06:00Z suehring/gryschka
45	! When advection is computed with ws-scheme, turbulent fluxes are already
46	! computed in the respective advection routines and buffered in arrays
47	! sums_xx_ws_l(). This is due to a consistent treatment of statistics with the
48	! numerics and to avoid unphysical kinks near the surface.
49	! So some if requests has to be done to dicern between fluxes from ws-scheme
50	! other advection schemes.
51	! Furthermore the computation of z_i is only done if the heat flux exceeds a
52	! minimum value. This affects only simulations of a neutral boundary layer and
53	! is due to reasons of computations in the advection scheme.
54	!
55	! 624 2010-12-10 11:46:30Z heinze
56	! Calculation of q*2 added
57	!
58	! 622 2010-12-10 08:08:13Z raasch
59	! optional barriers included in order to speed up collective operations
60	!
61	! 388 2009-09-23 09:40:33Z raasch
62	! Vertical profiles of potential density and hydrostatic pressure are
63	! calculated.
64	! Added missing timeseries calculation of w"q"(0), moved timeseries q* to the
65	! end.
66	! Temperature gradient criterion for estimating the boundary layer height
67	! replaced by the gradient criterion of Sullivan et al. (1998).
68	! Output of messages replaced by message handling routine.
69	!
70	! 197 2008-09-16 15:29:03Z raasch
71	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
72	! added,
73	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
74	! (like other scalars)
75	!
76	! 133 2007-11-20 10:10:53Z letzel
77	! Vertical profiles now based on nzb_s_inner; they are divided by
78	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
79	! velocity components and their products, procucts of scalars and velocity
80	! components), respectively.
81	!
82	! 106 2007-08-16 14:30:26Z raasch
83	! Prescribed momentum fluxes at the top surface are used,
84	! profiles for wp and w"e are calculated
85	!
86	! 97 2007-06-21 08:23:15Z raasch
87	! Statistics for ocean version (salinity, density) added,
88	! calculation of z_i and Deardorff velocity scale adjusted to be used with
89	! the ocean version
90	!
91	! 87 2007-05-22 15:46:47Z raasch
92	! Two more arguments added to user_statistics, which is now also called for
93	! user-defined profiles,
94	! var_hom and var_sum renamed pr_palm
95	!
96	! 82 2007-04-16 15:40:52Z raasch
97	! Cpp-directive lcmuk changed to intel_openmp_bug
98	!
99	! 75 2007-03-22 09:54:05Z raasch
100	! Collection of time series quantities moved from routine flow_statistics to
101	! here, routine user_statistics is called for each statistic region,
102	! moisture renamed humidity
103	!
104	! 19 2007-02-23 04:53:48Z raasch
105	! fluxes at top modified (tswst, qswst)
106	!
107	! RCS Log replace by Id keyword, revision history cleaned up
108	!
109	! Revision 1.41 2006/08/04 14:37:50 raasch
110	! Error removed in non-parallel part (sums_l)
111	!
112	! Revision 1.1 1997/08/11 06:15:17 raasch
113	! Initial revision
114	!
115	!
116	! Description:
117	! ------------
118	! Compute average profiles and further average flow quantities for the different
119	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
120	!
121	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
122	! ---- lower vertical index for k-loops for all variables, although strictly
123	! speaking the k-loops would have to be split up according to the staggered
124	! grid. However, this implies no error since staggered velocity components are
125	! zero at the walls and inside buildings.
126	!------------------------------------------------------------------------------!
127
128	USE arrays_3d
129	USE cloud_parameters
130	USE control_parameters
131	USE cpulog
132	USE grid_variables
133	USE indices
134	USE interfaces
135	USE pegrid
136	USE statistics
137
138	IMPLICIT NONE
139
140	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
141	LOGICAL :: first
142	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
143	ust2, u2, vst, vst2, v2, w2, z_i(2)
144	REAL :: dptdz(nzb+1:nzt+1)
145	REAL :: sums_ll(nzb:nzt+1,2)
146
147	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
148
149	!
150	!-- To be on the safe side, check whether flow_statistics has already been
151	!-- called once after the current time step
152	IF ( flow_statistics_called ) THEN
153
154	message_string = 'flow_statistics is called two times within one ' // &
155	'timestep'
156	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
157
158	ENDIF
159
160	!
161	!-- Compute statistics for each (sub-)region
162	DO sr = 0, statistic_regions
163
164	!
165	!-- Initialize (local) summation array
166	sums_l = 0.0
167
168	!
169	!-- Store sums that have been computed in other subroutines in summation
170	!-- array
171	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
172	!-- WARNING: next line still has to be adjusted for OpenMP
173	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
174	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
175	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
176
177	!
178	!-- Copy the turbulent quantities, evaluated in the advection routines to
179	!-- the local array sums_l() for further computations
180	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
181
182	!
183	!-- According to the Neumann bc for the horizontal velocity components,
184	!-- the corresponding fluxes has to satisfiy the same bc.
185	IF ( ocean ) THEN
186	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
187	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
188	ENDIF
189
190	DO i = 0, threads_per_task-1
191	!
192	!-- Swap the turbulent quantities evaluated in advec_ws.
193	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
194	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
195	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
196	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
197	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
198	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
199	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
200	sums_ws2_ws_l(:,i) ) ! e*
201	DO k = nzb, nzt
202	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
203	sums_us2_ws_l(k,i) + &
204	sums_vs2_ws_l(k,i) + &
205	sums_ws2_ws_l(k,i) )
206	ENDDO
207	ENDDO
208
209	ENDIF
210
211	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
212
213	DO i = 0, threads_per_task-1
214	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
215	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
216	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
217	sums_wsqs_ws_l(:,i) !wq
218	ENDDO
219
220	ENDIF
221	!
222	!-- Horizontally averaged profiles of horizontal velocities and temperature.
223	!-- They must have been computed before, because they are already required
224	!-- for other horizontal averages.
225	tn = 0
226
227	!$OMP PARALLEL PRIVATE( i, j, k, tn )
228	#if defined( __intel_openmp_bug )
229	tn = omp_get_thread_num()
230	#else
231	!$ tn = omp_get_thread_num()
232	#endif
233
234	!$OMP DO
235	DO i = nxl, nxr
236	DO j = nys, nyn
237	DO k = nzb_s_inner(j,i), nzt+1
238	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
239	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
240	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
241	ENDDO
242	ENDDO
243	ENDDO
244
245	!
246	!-- Horizontally averaged profile of salinity
247	IF ( ocean ) THEN
248	!$OMP DO
249	DO i = nxl, nxr
250	DO j = nys, nyn
251	DO k = nzb_s_inner(j,i), nzt+1
252	sums_l(k,23,tn) = sums_l(k,23,tn) + &
253	sa(k,j,i) * rmask(j,i,sr)
254	ENDDO
255	ENDDO
256	ENDDO
257	ENDIF
258
259	!
260	!-- Horizontally averaged profiles of virtual potential temperature,
261	!-- total water content, specific humidity and liquid water potential
262	!-- temperature
263	IF ( humidity ) THEN
264	!$OMP DO
265	DO i = nxl, nxr
266	DO j = nys, nyn
267	DO k = nzb_s_inner(j,i), nzt+1
268	sums_l(k,44,tn) = sums_l(k,44,tn) + &
269	vpt(k,j,i) * rmask(j,i,sr)
270	sums_l(k,41,tn) = sums_l(k,41,tn) + &
271	q(k,j,i) * rmask(j,i,sr)
272	ENDDO
273	ENDDO
274	ENDDO
275	IF ( cloud_physics ) THEN
276	!$OMP DO
277	DO i = nxl, nxr
278	DO j = nys, nyn
279	DO k = nzb_s_inner(j,i), nzt+1
280	sums_l(k,42,tn) = sums_l(k,42,tn) + &
281	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
282	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
283	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
284	) * rmask(j,i,sr)
285	ENDDO
286	ENDDO
287	ENDDO
288	ENDIF
289	ENDIF
290
291	!
292	!-- Horizontally averaged profiles of passive scalar
293	IF ( passive_scalar ) THEN
294	!$OMP DO
295	DO i = nxl, nxr
296	DO j = nys, nyn
297	DO k = nzb_s_inner(j,i), nzt+1
298	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
299	ENDDO
300	ENDDO
301	ENDDO
302	ENDIF
303	!$OMP END PARALLEL
304	!
305	!-- Summation of thread sums
306	IF ( threads_per_task > 1 ) THEN
307	DO i = 1, threads_per_task-1
308	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
309	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
310	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
311	IF ( ocean ) THEN
312	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
313	ENDIF
314	IF ( humidity ) THEN
315	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
316	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
317	IF ( cloud_physics ) THEN
318	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
319	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
320	ENDIF
321	ENDIF
322	IF ( passive_scalar ) THEN
323	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
324	ENDIF
325	ENDDO
326	ENDIF
327
328	#if defined( __parallel )
329	!
330	!-- Compute total sum from local sums
331	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
332	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
333	MPI_SUM, comm2d, ierr )
334	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
335	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
336	MPI_SUM, comm2d, ierr )
337	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
338	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
339	MPI_SUM, comm2d, ierr )
340	IF ( ocean ) THEN
341	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
342	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
343	MPI_REAL, MPI_SUM, comm2d, ierr )
344	ENDIF
345	IF ( humidity ) THEN
346	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
347	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
348	MPI_REAL, MPI_SUM, comm2d, ierr )
349	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
350	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
351	MPI_REAL, MPI_SUM, comm2d, ierr )
352	IF ( cloud_physics ) THEN
353	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
354	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
355	MPI_REAL, MPI_SUM, comm2d, ierr )
356	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
357	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
358	MPI_REAL, MPI_SUM, comm2d, ierr )
359	ENDIF
360	ENDIF
361
362	IF ( passive_scalar ) THEN
363	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
364	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
365	MPI_REAL, MPI_SUM, comm2d, ierr )
366	ENDIF
367	#else
368	sums(:,1) = sums_l(:,1,0)
369	sums(:,2) = sums_l(:,2,0)
370	sums(:,4) = sums_l(:,4,0)
371	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
372	IF ( humidity ) THEN
373	sums(:,44) = sums_l(:,44,0)
374	sums(:,41) = sums_l(:,41,0)
375	IF ( cloud_physics ) THEN
376	sums(:,42) = sums_l(:,42,0)
377	sums(:,43) = sums_l(:,43,0)
378	ENDIF
379	ENDIF
380	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
381	#endif
382
383	!
384	!-- Final values are obtained by division by the total number of grid points
385	!-- used for summation. After that store profiles.
386	sums(:,1) = sums(:,1) / ngp_2dh(sr)
387	sums(:,2) = sums(:,2) / ngp_2dh(sr)
388	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
389	hom(:,1,1,sr) = sums(:,1) ! u
390	hom(:,1,2,sr) = sums(:,2) ! v
391	hom(:,1,4,sr) = sums(:,4) ! pt
392
393
394	!
395	!-- Salinity
396	IF ( ocean ) THEN
397	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
398	hom(:,1,23,sr) = sums(:,23) ! sa
399	ENDIF
400
401	!
402	!-- Humidity and cloud parameters
403	IF ( humidity ) THEN
404	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
405	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
406	hom(:,1,44,sr) = sums(:,44) ! vpt
407	hom(:,1,41,sr) = sums(:,41) ! qv (q)
408	IF ( cloud_physics ) THEN
409	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
410	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
411	hom(:,1,42,sr) = sums(:,42) ! qv
412	hom(:,1,43,sr) = sums(:,43) ! pt
413	ENDIF
414	ENDIF
415
416	!
417	!-- Passive scalar
418	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
419	ngp_2dh_s_inner(:,sr) ! s (q)
420
421	!
422	!-- Horizontally averaged profiles of the remaining prognostic variables,
423	!-- variances, the total and the perturbation energy (single values in last
424	!-- column of sums_l) and some diagnostic quantities.
425	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
426	!-- ---- speaking the following k-loop would have to be split up and
427	!-- rearranged according to the staggered grid.
428	!-- However, this implies no error since staggered velocity components
429	!-- are zero at the walls and inside buildings.
430	tn = 0
431	#if defined( __intel_openmp_bug )
432	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
433	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
434	tn = omp_get_thread_num()
435	#else
436	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
437	!$ tn = omp_get_thread_num()
438	#endif
439	!$OMP DO
440	DO i = nxl, nxr
441	DO j = nys, nyn
442	sums_l_etot = 0.0
443	DO k = nzb_s_inner(j,i), nzt+1
444	!
445	!-- Prognostic and diagnostic variables
446	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
447	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
448	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
449	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
450	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
451
452	sums_l(k,33,tn) = sums_l(k,33,tn) + &
453	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
454
455	IF ( humidity ) THEN
456	sums_l(k,70,tn) = sums_l(k,70,tn) + &
457	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
458	ENDIF
459
460	!
461	!-- Higher moments
462	!-- (Computation of the skewness of w further below)
463	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
464
465	sums_l_etot = sums_l_etot + &
466	0.5 * ( u(k,j,i)2 + v(k,j,i)2 + &
467	w(k,j,i)*2 ) rmask(j,i,sr)
468	ENDDO
469	!
470	!-- Total and perturbation energy for the total domain (being
471	!-- collected in the last column of sums_l). Summation of these
472	!-- quantities is seperated from the previous loop in order to
473	!-- allow vectorization of that loop.
474	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
475	!
476	!-- 2D-arrays (being collected in the last column of sums_l)
477	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
478	us(j,i) * rmask(j,i,sr)
479	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
480	usws(j,i) * rmask(j,i,sr)
481	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
482	vsws(j,i) * rmask(j,i,sr)
483	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
484	ts(j,i) * rmask(j,i,sr)
485	IF ( humidity ) THEN
486	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
487	qs(j,i) * rmask(j,i,sr)
488	ENDIF
489	ENDDO
490	ENDDO
491
492	!
493	!-- Computation of statistics when ws-scheme is not used. Else these
494	!-- quantities are evaluated in the advection routines.
495	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
496	!$OMP DO
497	DO i = nxl, nxr
498	DO j = nys, nyn
499	sums_l_eper = 0.0
500	DO k = nzb_s_inner(j,i), nzt+1
501	u2 = u(k,j,i)**2
502	v2 = v(k,j,i)**2
503	w2 = w(k,j,i)**2
504	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
505	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
506
507	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
508	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
509	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
510	!
511	!-- Perturbation energy
512
513	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * &
514	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
515	sums_l_eper = sums_l_eper + &
516	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
517
518	ENDDO
519	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
520	+ sums_l_eper
521	ENDDO
522	ENDDO
523	ENDIF
524	!
525	!-- Horizontally averaged profiles of the vertical fluxes
526
527	!$OMP DO
528	DO i = nxl, nxr
529	DO j = nys, nyn
530	!
531	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
532	!-- oterwise from k=nzb+1)
533	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
534	!-- ---- strictly speaking the following k-loop would have to be
535	!-- split up according to the staggered grid.
536	!-- However, this implies no error since staggered velocity
537	!-- components are zero at the walls and inside buildings.
538
539	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
540	!
541	!-- Momentum flux w"u"
542	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
543	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
544	) * ( &
545	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
546	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
547	) * rmask(j,i,sr)
548	!
549	!-- Momentum flux w"v"
550	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
551	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
552	) * ( &
553	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
554	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
555	) * rmask(j,i,sr)
556	!
557	!-- Heat flux w"pt"
558	sums_l(k,16,tn) = sums_l(k,16,tn) &
559	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
560	* ( pt(k+1,j,i) - pt(k,j,i) ) &
561	* ddzu(k+1) * rmask(j,i,sr)
562
563
564	!
565	!-- Salinity flux w"sa"
566	IF ( ocean ) THEN
567	sums_l(k,65,tn) = sums_l(k,65,tn) &
568	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
569	* ( sa(k+1,j,i) - sa(k,j,i) ) &
570	* ddzu(k+1) * rmask(j,i,sr)
571	ENDIF
572
573	!
574	!-- Buoyancy flux, water flux (humidity flux) w"q"
575	IF ( humidity ) THEN
576	sums_l(k,45,tn) = sums_l(k,45,tn) &
577	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
578	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
579	* ddzu(k+1) * rmask(j,i,sr)
580	sums_l(k,48,tn) = sums_l(k,48,tn) &
581	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
582	* ( q(k+1,j,i) - q(k,j,i) ) &
583	* ddzu(k+1) * rmask(j,i,sr)
584
585	IF ( cloud_physics ) THEN
586	sums_l(k,51,tn) = sums_l(k,51,tn) &
587	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
588	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
589	- ( q(k,j,i) - ql(k,j,i) ) ) &
590	* ddzu(k+1) * rmask(j,i,sr)
591	ENDIF
592	ENDIF
593
594	!
595	!-- Passive scalar flux
596	IF ( passive_scalar ) THEN
597	sums_l(k,48,tn) = sums_l(k,48,tn) &
598	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
599	* ( q(k+1,j,i) - q(k,j,i) ) &
600	* ddzu(k+1) * rmask(j,i,sr)
601	ENDIF
602
603	ENDDO
604
605	!
606	!-- Subgridscale fluxes in the Prandtl layer
607	IF ( use_surface_fluxes ) THEN
608	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
609	usws(j,i) * rmask(j,i,sr) ! w"u"
610	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
611	vsws(j,i) * rmask(j,i,sr) ! w"v"
612	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
613	shf(j,i) * rmask(j,i,sr) ! w"pt"
614	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
615	0.0 * rmask(j,i,sr) ! u"pt"
616	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
617	0.0 * rmask(j,i,sr) ! v"pt"
618	IF ( ocean ) THEN
619	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
620	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
621	ENDIF
622	IF ( humidity ) THEN
623	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
624	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
625	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
626	( 1.0 + 0.61 * q(nzb,j,i) ) * &
627	shf(j,i) + 0.61 * pt(nzb,j,i) * &
628	qsws(j,i) )
629	IF ( cloud_droplets ) THEN
630	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
631	( 1.0 + 0.61 * q(nzb,j,i) - &
632	ql(nzb,j,i) ) * shf(j,i) + &
633	0.61 * pt(nzb,j,i) * qsws(j,i) )
634	ENDIF
635	IF ( cloud_physics ) THEN
636	!
637	!-- Formula does not work if ql(nzb) /= 0.0
638	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
639	qsws(j,i) * rmask(j,i,sr)
640	ENDIF
641	ENDIF
642	IF ( passive_scalar ) THEN
643	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
644	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
645	ENDIF
646	ENDIF
647
648	!
649	!-- Subgridscale fluxes at the top surface
650	IF ( use_top_fluxes ) THEN
651	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
652	uswst(j,i) * rmask(j,i,sr) ! w"u"
653	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
654	vswst(j,i) * rmask(j,i,sr) ! w"v"
655	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
656	tswst(j,i) * rmask(j,i,sr) ! w"pt"
657	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
658	0.0 * rmask(j,i,sr) ! u"pt"
659	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
660	0.0 * rmask(j,i,sr) ! v"pt"
661
662	IF ( ocean ) THEN
663	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
664	saswst(j,i) * rmask(j,i,sr) ! w"sa"
665	ENDIF
666	IF ( humidity ) THEN
667	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
668	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
669	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
670	( 1.0 + 0.61 * q(nzt,j,i) ) * &
671	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
672	qswst(j,i) )
673	IF ( cloud_droplets ) THEN
674	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
675	( 1.0 + 0.61 * q(nzt,j,i) - &
676	ql(nzt,j,i) ) * tswst(j,i) + &
677	0.61 * pt(nzt,j,i) * qswst(j,i) )
678	ENDIF
679	IF ( cloud_physics ) THEN
680	!
681	!-- Formula does not work if ql(nzb) /= 0.0
682	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
683	qswst(j,i) * rmask(j,i,sr)
684	ENDIF
685	ENDIF
686	IF ( passive_scalar ) THEN
687	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
688	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
689	ENDIF
690	ENDIF
691
692	!
693	!-- Resolved fluxes (can be computed for all horizontal points)
694	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
695	!-- ---- speaking the following k-loop would have to be split up and
696	!-- rearranged according to the staggered grid.
697	DO k = nzb_s_inner(j,i), nzt
698	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
699	u(k+1,j,i) - hom(k+1,1,1,sr) )
700	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
701	v(k+1,j,i) - hom(k+1,1,2,sr) )
702	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
703	pt(k+1,j,i) - hom(k+1,1,4,sr) )
704
705	!-- Higher moments
706	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
707	rmask(j,i,sr)
708	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
709	rmask(j,i,sr)
710
711	!
712	!-- Salinity flux and density (density does not belong to here,
713	!-- but so far there is no other suitable place to calculate)
714	IF ( ocean ) THEN
715	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
716	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
717	sa(k+1,j,i) - hom(k+1,1,23,sr) )
718	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
719	rmask(j,i,sr)
720	ENDIF
721	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
722	rmask(j,i,sr)
723	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
724	rmask(j,i,sr)
725	ENDIF
726
727	!
728	!-- Buoyancy flux, water flux, humidity flux and liquid water
729	!-- content
730	IF ( humidity ) THEN
731	IF ( cloud_physics .OR. cloud_droplets ) THEN
732	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
733	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
734	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
735	rmask(j,i,sr)
736	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
737	rmask(j,i,sr)
738	ELSE
739	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
740	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
741	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
742	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
743	rmask(j,i,sr)
744	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
745	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * &
746	sums_l(k,17,tn) + &
747	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
748	END IF
749	END IF
750	ENDIF
751	!
752	!-- Passive scalar flux
753	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
754	.OR. sr /= 0 ) ) THEN
755	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
756	q(k+1,j,i) - hom(k+1,1,41,sr) )
757	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
758	rmask(j,i,sr)
759	ENDIF
760
761	!
762	!-- Energy flux we
763	!-- has to be adjusted
764	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
765	( ust2 + vst2 + w(k,j,i)**2 )&
766	* rmask(j,i,sr)
767	ENDDO
768	ENDDO
769	ENDDO
770	!
771	!-- For speed optimization fluxes which have been computed in part directly
772	!-- inside the WS advection routines are treated seperatly
773	!-- Momentum fluxes first:
774	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
775	!$OMP DO
776	DO i = nxl, nxr
777	DO j = nys, nyn
778	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
779	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
780	u(k+1,j,i) - hom(k+1,1,1,sr) )
781	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
782	v(k+1,j,i) - hom(k+1,1,2,sr) )
783	!
784	!-- Momentum flux wu
785	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
786	( w(k,j,i-1) + w(k,j,i) ) &
787	* ust * rmask(j,i,sr)
788	!
789	!-- Momentum flux wv
790	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
791	( w(k,j-1,i) + w(k,j,i) ) &
792	* vst * rmask(j,i,sr)
793	ENDDO
794	ENDDO
795	ENDDO
796
797	ENDIF
798	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
799	!$OMP DO
800	DO i = nxl, nxr
801	DO j = nys, nyn
802	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
803	!
804	!-- Vertical heat flux
805	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
806	( pt(k,j,i) - hom(k,1,4,sr) + &
807	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
808	* w(k,j,i) * rmask(j,i,sr)
809	IF ( humidity ) THEN
810	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
811	q(k+1,j,i) - hom(k+1,1,41,sr) )
812	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
813	rmask(j,i,sr)
814	ENDIF
815	ENDDO
816	ENDDO
817	ENDDO
818
819	ENDIF
820
821
822	!
823	!-- Density at top follows Neumann condition
824	IF ( ocean ) THEN
825	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
826	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
827	ENDIF
828
829	!
830	!-- Divergence of vertical flux of resolved scale energy and pressure
831	!-- fluctuations as well as flux of pressure fluctuation itself (68).
832	!-- First calculate the products, then the divergence.
833	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
834	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
835
836	sums_ll = 0.0 ! local array
837
838	!$OMP DO
839	DO i = nxl, nxr
840	DO j = nys, nyn
841	DO k = nzb_s_inner(j,i)+1, nzt
842
843	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
844	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
845	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
846	) )**2 &
847	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
848	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
849	) )**2 &
850	+ w(k,j,i)**2 )
851
852	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
853	* ( p(k,j,i) + p(k+1,j,i) )
854
855	ENDDO
856	ENDDO
857	ENDDO
858	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
859	sums_ll(nzt+1,1) = 0.0
860	sums_ll(0,2) = 0.0
861	sums_ll(nzt+1,2) = 0.0
862
863	DO k = nzb+1, nzt
864	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
865	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
866	sums_l(k,68,tn) = sums_ll(k,2)
867	ENDDO
868	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
869	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
870	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
871
872	ENDIF
873
874	!
875	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
876	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
877
878	!$OMP DO
879	DO i = nxl, nxr
880	DO j = nys, nyn
881	DO k = nzb_s_inner(j,i)+1, nzt
882
883	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
884	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
885	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
886	) * ddzw(k)
887
888	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
889	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
890	)
891
892	ENDDO
893	ENDDO
894	ENDDO
895	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
896	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
897
898	ENDIF
899
900	!
901	!-- Horizontal heat fluxes (subgrid, resolved, total).
902	!-- Do it only, if profiles shall be plotted.
903	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
904
905	!$OMP DO
906	DO i = nxl, nxr
907	DO j = nys, nyn
908	DO k = nzb_s_inner(j,i)+1, nzt
909	!
910	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
911	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
912	( kh(k,j,i) + kh(k,j,i-1) ) &
913	* ( pt(k,j,i-1) - pt(k,j,i) ) &
914	* ddx * rmask(j,i,sr)
915	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
916	( kh(k,j,i) + kh(k,j-1,i) ) &
917	* ( pt(k,j-1,i) - pt(k,j,i) ) &
918	* ddy * rmask(j,i,sr)
919	!
920	!-- Resolved horizontal heat fluxes upt, vpt
921	sums_l(k,59,tn) = sums_l(k,59,tn) + &
922	( u(k,j,i) - hom(k,1,1,sr) ) &
923	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
924	pt(k,j,i) - hom(k,1,4,sr) )
925	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
926	pt(k,j,i) - hom(k,1,4,sr) )
927	sums_l(k,62,tn) = sums_l(k,62,tn) + &
928	( v(k,j,i) - hom(k,1,2,sr) ) &
929	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
930	pt(k,j,i) - hom(k,1,4,sr) )
931	ENDDO
932	ENDDO
933	ENDDO
934	!
935	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
936	sums_l(nzb,58,tn) = 0.0
937	sums_l(nzb,59,tn) = 0.0
938	sums_l(nzb,60,tn) = 0.0
939	sums_l(nzb,61,tn) = 0.0
940	sums_l(nzb,62,tn) = 0.0
941	sums_l(nzb,63,tn) = 0.0
942
943	ENDIF
944
945	!
946	!-- Calculate the user-defined profiles
947	CALL user_statistics( 'profiles', sr, tn )
948	!$OMP END PARALLEL
949
950	!
951	!-- Summation of thread sums
952	IF ( threads_per_task > 1 ) THEN
953	DO i = 1, threads_per_task-1
954	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
955	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
956	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
957	sums_l(:,45:pr_palm,i)
958	IF ( max_pr_user > 0 ) THEN
959	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
960	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
961	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
962	ENDIF
963	ENDDO
964	ENDIF
965
966	#if defined( __parallel )
967
968	!
969	!-- Compute total sum from local sums
970	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
971	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
972	MPI_SUM, comm2d, ierr )
973	#else
974	sums = sums_l(:,:,0)
975	#endif
976
977	!
978	!-- Final values are obtained by division by the total number of grid points
979	!-- used for summation. After that store profiles.
980	!-- Profiles:
981	DO k = nzb, nzt+1
982	sums(k,3) = sums(k,3) / ngp_2dh(sr)
983	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
984	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
985	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
986	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
987	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
988	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
989	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
990	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
991	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
992	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
993	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
994	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
995	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
996	ENDDO
997
998	!-- Upstream-parts
999	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
1000	!-- u* and so on
1001	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1002	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1003	!-- above the topography, they are being divided by ngp_2dh(sr)
1004	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1005	ngp_2dh(sr)
1006	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1007	ngp_2dh(sr)
1008	!-- eges, e*
1009	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1010	ngp_3d(sr)
1011	!-- Old and new divergence
1012	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1013	ngp_3d_inner(sr)
1014
1015	!-- User-defined profiles
1016	IF ( max_pr_user > 0 ) THEN
1017	DO k = nzb, nzt+1
1018	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1019	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1020	ngp_2dh_s_inner(k,sr)
1021	ENDDO
1022	ENDIF
1023
1024	!
1025	!-- Collect horizontal average in hom.
1026	!-- Compute deduced averages (e.g. total heat flux)
1027	hom(:,1,3,sr) = sums(:,3) ! w
1028	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1029	hom(:,1,9,sr) = sums(:,9) ! km
1030	hom(:,1,10,sr) = sums(:,10) ! kh
1031	hom(:,1,11,sr) = sums(:,11) ! l
1032	hom(:,1,12,sr) = sums(:,12) ! w"u"
1033	hom(:,1,13,sr) = sums(:,13) ! wu
1034	hom(:,1,14,sr) = sums(:,14) ! w"v"
1035	hom(:,1,15,sr) = sums(:,15) ! wv
1036	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1037	hom(:,1,17,sr) = sums(:,17) ! wpt
1038	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1039	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1040	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1041	hom(:,1,21,sr) = sums(:,21) ! wptBC
1042	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1043	! profile 24 is initial profile (sa)
1044	! profiles 25-29 left empty for initial
1045	! profiles
1046	hom(:,1,30,sr) = sums(:,30) ! u*2
1047	hom(:,1,31,sr) = sums(:,31) ! v*2
1048	hom(:,1,32,sr) = sums(:,32) ! w*2
1049	hom(:,1,33,sr) = sums(:,33) ! pt*2
1050	hom(:,1,34,sr) = sums(:,34) ! e*
1051	hom(:,1,35,sr) = sums(:,35) ! w2pt
1052	hom(:,1,36,sr) = sums(:,36) ! wpt2
1053	hom(:,1,37,sr) = sums(:,37) ! we
1054	hom(:,1,38,sr) = sums(:,38) ! w*3
1055	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
1056	hom(:,1,40,sr) = sums(:,40) ! p
1057	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1058	hom(:,1,46,sr) = sums(:,46) ! wvpt
1059	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1060	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1061	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1062	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1063	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1064	hom(:,1,52,sr) = sums(:,52) ! wqv
1065	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1066	hom(:,1,54,sr) = sums(:,54) ! ql
1067	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1068	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1069	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
1070	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1071	hom(:,1,59,sr) = sums(:,59) ! upt
1072	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1073	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1074	hom(:,1,62,sr) = sums(:,62) ! vpt
1075	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1076	hom(:,1,64,sr) = sums(:,64) ! rho
1077	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1078	hom(:,1,66,sr) = sums(:,66) ! wsa
1079	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1080	hom(:,1,68,sr) = sums(:,68) ! wp
1081	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
1082	hom(:,1,70,sr) = sums(:,70) ! q*2
1083	hom(:,1,71,sr) = sums(:,71) ! prho
1084	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
1085
1086	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
1087	! upstream-parts u_x, u_y, u_z, v_x,
1088	! v_y, usw. (in last but one profile)
1089	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
1090	! u, w'u', w'v', t (in last profile)
1091
1092	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
1093	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
1094	sums(:,pr_palm+1:pr_palm+max_pr_user)
1095	ENDIF
1096
1097	!
1098	!-- Determine the boundary layer height using two different schemes.
1099	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
1100	!-- first relative minimum (maximum) of the total heat flux.
1101	!-- The corresponding height is assumed as the boundary layer height, if it
1102	!-- is less than 1.5 times the height where the heat flux becomes negative
1103	!-- (positive) for the first time.
1104	z_i(1) = 0.0
1105	first = .TRUE.
1106
1107	IF ( ocean ) THEN
1108	DO k = nzt, nzb+1, -1
1109	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
1110	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
1111	first = .FALSE.
1112	height = zw(k)
1113	ENDIF
1114	IF ( hom(k,1,18,sr) < 0.0 .AND. &
1115	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
1116	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
1117	IF ( zw(k) < 1.5 * height ) THEN
1118	z_i(1) = zw(k)
1119	ELSE
1120	z_i(1) = height
1121	ENDIF
1122	EXIT
1123	ENDIF
1124	ENDDO
1125	ELSE
1126	DO k = nzb, nzt-1
1127	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
1128	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
1129	first = .FALSE.
1130	height = zw(k)
1131	ENDIF
1132	IF ( hom(k,1,18,sr) < 0.0 .AND. &
1133	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
1134	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
1135	IF ( zw(k) < 1.5 * height ) THEN
1136	z_i(1) = zw(k)
1137	ELSE
1138	z_i(1) = height
1139	ENDIF
1140	EXIT
1141	ENDIF
1142	ENDDO
1143	ENDIF
1144
1145	!
1146	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
1147	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
1148	!-- maximal local temperature gradient: starting from the second (the last
1149	!-- but one) vertical gridpoint, the local gradient must be at least
1150	!-- 0.2K/100m and greater than the next four gradients.
1151	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
1152	!-- ocean case!
1153	z_i(2) = 0.0
1154	DO k = nzb+1, nzt+1
1155	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
1156	ENDDO
1157	dptdz_threshold = 0.2 / 100.0
1158
1159	IF ( ocean ) THEN
1160	DO k = nzt+1, nzb+5, -1
1161	IF ( dptdz(k) > dptdz_threshold .AND. &
1162	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
1163	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
1164	z_i(2) = zw(k-1)
1165	EXIT
1166	ENDIF
1167	ENDDO
1168	ELSE
1169	DO k = nzb+1, nzt-3
1170	IF ( dptdz(k) > dptdz_threshold .AND. &
1171	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
1172	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
1173	z_i(2) = zw(k-1)
1174	EXIT
1175	ENDIF
1176	ENDDO
1177	ENDIF
1178
1179	hom(nzb+6,1,pr_palm,sr) = z_i(1)
1180	hom(nzb+7,1,pr_palm,sr) = z_i(2)
1181
1182	!
1183	!-- Computation of both the characteristic vertical velocity and
1184	!-- the characteristic convective boundary layer temperature.
1185	!-- The horizontal average at nzb+1 is input for the average temperature.
1186	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
1187	.AND. z_i(1) /= 0.0 ) THEN
1188	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
1189	hom(nzb,1,18,sr) * &
1190	ABS( z_i(1) ) )**0.333333333
1191	!-- so far this only works if Prandtl layer is used
1192	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
1193	ELSE
1194	hom(nzb+8,1,pr_palm,sr) = 0.0
1195	hom(nzb+11,1,pr_palm,sr) = 0.0
1196	ENDIF
1197
1198	!
1199	!-- Collect the time series quantities
1200	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
1201	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
1202	ts_value(3,sr) = dt_3d
1203	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
1204	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
1205	ts_value(6,sr) = u_max
1206	ts_value(7,sr) = v_max
1207	ts_value(8,sr) = w_max
1208	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
1209	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
1210	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
1211	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
1212	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
1213	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
1214	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
1215	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
1216	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
1217	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
1218	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
1219	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
1220	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
1221
1222	IF ( ts_value(5,sr) /= 0.0 ) THEN
1223	ts_value(22,sr) = ts_value(4,sr)**2 / &
1224	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
1225	ELSE
1226	ts_value(22,sr) = 10000.0
1227	ENDIF
1228
1229	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
1230	!
1231	!-- Calculate additional statistics provided by the user interface
1232	CALL user_statistics( 'time_series', sr, 0 )
1233
1234	ENDDO ! loop of the subregions
1235
1236	!
1237	!-- If required, sum up horizontal averages for subsequent time averaging
1238	IF ( do_sum ) THEN
1239	IF ( average_count_pr == 0 ) hom_sum = 0.0
1240	hom_sum = hom_sum + hom(:,1,:,:)
1241	average_count_pr = average_count_pr + 1
1242	do_sum = .FALSE.
1243	ENDIF
1244
1245	!
1246	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
1247	!-- This flag is reset after each time step in time_integration.
1248	flow_statistics_called = .TRUE.
1249
1250	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
1251
1252
1253	END SUBROUTINE flow_statistics

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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1007

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