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flow_statistics.f90 @ 622

Last change on this file since 622 was 622, checked in by raasch, 13 years ago

New:
---

Optional barriers included in order to speed up collective operations
MPI_ALLTOALL and MPI_ALLREDUCE. This feature is controlled with new initial
parameter collective_wait. Default is .FALSE, but .TRUE. on SGI-type
systems. (advec_particles, advec_s_bc, buoyancy, check_for_restart,
cpu_statistics, data_output_2d, data_output_ptseries, flow_statistics,
global_min_max, inflow_turbulence, init_3d_model, init_particles, init_pegrid,
init_slope, parin, pres, poismg, set_particle_attributes, timestep,
read_var_list, user_statistics, write_compressed, write_var_list)

Adjustments for Kyushu Univ. (lcrte, ibmku). Concerning hybrid
(MPI/openMP) runs, the number of openMP threads per MPI tasks can now
be given as an argument to mrun-option -O. (mbuild, mrun, subjob)

Changed:

Initialization of the module command changed for SGI-ICE/lcsgi (mbuild, subjob)

Errors:

Property svn:keywords set to Id

File size: 46.6 KB

Line
1	SUBROUTINE flow_statistics
2
3	!------------------------------------------------------------------------------!
4	! Current revisions:
5	! -----------------
6	! optional barriers included in order to speed up collective operations
7	!
8	! Former revisions:
9	! -----------------
10	! $Id: flow_statistics.f90 622 2010-12-10 08:08:13Z raasch $
11	!
12	! 388 2009-09-23 09:40:33Z raasch
13	! Vertical profiles of potential density and hydrostatic pressure are
14	! calculated.
15	! Added missing timeseries calculation of w"q"(0), moved timeseries q* to the
16	! end.
17	! Temperature gradient criterion for estimating the boundary layer height
18	! replaced by the gradient criterion of Sullivan et al. (1998).
19	! Output of messages replaced by message handling routine.
20	!
21	! 197 2008-09-16 15:29:03Z raasch
22	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
23	! added,
24	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
25	! (like other scalars)
26	!
27	! 133 2007-11-20 10:10:53Z letzel
28	! Vertical profiles now based on nzb_s_inner; they are divided by
29	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
30	! velocity components and their products, procucts of scalars and velocity
31	! components), respectively.
32	!
33	! 106 2007-08-16 14:30:26Z raasch
34	! Prescribed momentum fluxes at the top surface are used,
35	! profiles for wp and w"e are calculated
36	!
37	! 97 2007-06-21 08:23:15Z raasch
38	! Statistics for ocean version (salinity, density) added,
39	! calculation of z_i and Deardorff velocity scale adjusted to be used with
40	! the ocean version
41	!
42	! 87 2007-05-22 15:46:47Z raasch
43	! Two more arguments added to user_statistics, which is now also called for
44	! user-defined profiles,
45	! var_hom and var_sum renamed pr_palm
46	!
47	! 82 2007-04-16 15:40:52Z raasch
48	! Cpp-directive lcmuk changed to intel_openmp_bug
49	!
50	! 75 2007-03-22 09:54:05Z raasch
51	! Collection of time series quantities moved from routine flow_statistics to
52	! here, routine user_statistics is called for each statistic region,
53	! moisture renamed humidity
54	!
55	! 19 2007-02-23 04:53:48Z raasch
56	! fluxes at top modified (tswst, qswst)
57	!
58	! RCS Log replace by Id keyword, revision history cleaned up
59	!
60	! Revision 1.41 2006/08/04 14:37:50 raasch
61	! Error removed in non-parallel part (sums_l)
62	!
63	! Revision 1.1 1997/08/11 06:15:17 raasch
64	! Initial revision
65	!
66	!
67	! Description:
68	! ------------
69	! Compute average profiles and further average flow quantities for the different
70	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
71	!
72	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
73	! ---- lower vertical index for k-loops for all variables, although strictly
74	! speaking the k-loops would have to be split up according to the staggered
75	! grid. However, this implies no error since staggered velocity components are
76	! zero at the walls and inside buildings.
77	!------------------------------------------------------------------------------!
78
79	USE arrays_3d
80	USE cloud_parameters
81	USE cpulog
82	USE grid_variables
83	USE indices
84	USE interfaces
85	USE pegrid
86	USE statistics
87	USE control_parameters
88
89	IMPLICIT NONE
90
91	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
92	LOGICAL :: first
93	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
94	ust2, u2, vst, vst2, v2, w2, z_i(2)
95	REAL :: dptdz(nzb+1:nzt+1)
96	REAL :: sums_ll(nzb:nzt+1,2)
97
98
99	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
100
101	!
102	!-- To be on the safe side, check whether flow_statistics has already been
103	!-- called once after the current time step
104	IF ( flow_statistics_called ) THEN
105
106	message_string = 'flow_statistics is called two times within one ' // &
107	'timestep'
108	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
109
110	ENDIF
111
112	!
113	!-- Compute statistics for each (sub-)region
114	DO sr = 0, statistic_regions
115
116	!
117	!-- Initialize (local) summation array
118	sums_l = 0.0
119
120	!
121	!-- Store sums that have been computed in other subroutines in summation
122	!-- array
123	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
124	!-- WARNING: next line still has to be adjusted for OpenMP
125	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
126	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
127	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
128
129	!
130	!-- Horizontally averaged profiles of horizontal velocities and temperature.
131	!-- They must have been computed before, because they are already required
132	!-- for other horizontal averages.
133	tn = 0
134	!$OMP PARALLEL PRIVATE( i, j, k, tn )
135	#if defined( __intel_openmp_bug )
136	tn = omp_get_thread_num()
137	#else
138	!$ tn = omp_get_thread_num()
139	#endif
140
141	!$OMP DO
142	DO i = nxl, nxr
143	DO j = nys, nyn
144	DO k = nzb_s_inner(j,i), nzt+1
145	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
146	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
147	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
148	ENDDO
149	ENDDO
150	ENDDO
151
152	!
153	!-- Horizontally averaged profile of salinity
154	IF ( ocean ) THEN
155	!$OMP DO
156	DO i = nxl, nxr
157	DO j = nys, nyn
158	DO k = nzb_s_inner(j,i), nzt+1
159	sums_l(k,23,tn) = sums_l(k,23,tn) + &
160	sa(k,j,i) * rmask(j,i,sr)
161	ENDDO
162	ENDDO
163	ENDDO
164	ENDIF
165
166	!
167	!-- Horizontally averaged profiles of virtual potential temperature,
168	!-- total water content, specific humidity and liquid water potential
169	!-- temperature
170	IF ( humidity ) THEN
171	!$OMP DO
172	DO i = nxl, nxr
173	DO j = nys, nyn
174	DO k = nzb_s_inner(j,i), nzt+1
175	sums_l(k,44,tn) = sums_l(k,44,tn) + &
176	vpt(k,j,i) * rmask(j,i,sr)
177	sums_l(k,41,tn) = sums_l(k,41,tn) + &
178	q(k,j,i) * rmask(j,i,sr)
179	ENDDO
180	ENDDO
181	ENDDO
182	IF ( cloud_physics ) THEN
183	!$OMP DO
184	DO i = nxl, nxr
185	DO j = nys, nyn
186	DO k = nzb_s_inner(j,i), nzt+1
187	sums_l(k,42,tn) = sums_l(k,42,tn) + &
188	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
189	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
190	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
191	) * rmask(j,i,sr)
192	ENDDO
193	ENDDO
194	ENDDO
195	ENDIF
196	ENDIF
197
198	!
199	!-- Horizontally averaged profiles of passive scalar
200	IF ( passive_scalar ) THEN
201	!$OMP DO
202	DO i = nxl, nxr
203	DO j = nys, nyn
204	DO k = nzb_s_inner(j,i), nzt+1
205	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
206	ENDDO
207	ENDDO
208	ENDDO
209	ENDIF
210	!$OMP END PARALLEL
211
212	!
213	!-- Summation of thread sums
214	IF ( threads_per_task > 1 ) THEN
215	DO i = 1, threads_per_task-1
216	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
217	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
218	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
219	IF ( ocean ) THEN
220	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
221	ENDIF
222	IF ( humidity ) THEN
223	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
224	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
225	IF ( cloud_physics ) THEN
226	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
227	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
228	ENDIF
229	ENDIF
230	IF ( passive_scalar ) THEN
231	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
232	ENDIF
233	ENDDO
234	ENDIF
235
236	#if defined( __parallel )
237	!
238	!-- Compute total sum from local sums
239	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
240	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
241	MPI_SUM, comm2d, ierr )
242	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
243	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
244	MPI_SUM, comm2d, ierr )
245	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
246	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
247	MPI_SUM, comm2d, ierr )
248	IF ( ocean ) THEN
249	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
250	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
251	MPI_REAL, MPI_SUM, comm2d, ierr )
252	ENDIF
253	IF ( humidity ) THEN
254	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
255	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
256	MPI_REAL, MPI_SUM, comm2d, ierr )
257	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
258	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
259	MPI_REAL, MPI_SUM, comm2d, ierr )
260	IF ( cloud_physics ) THEN
261	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
262	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
263	MPI_REAL, MPI_SUM, comm2d, ierr )
264	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
265	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
266	MPI_REAL, MPI_SUM, comm2d, ierr )
267	ENDIF
268	ENDIF
269
270	IF ( passive_scalar ) THEN
271	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
272	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
273	MPI_REAL, MPI_SUM, comm2d, ierr )
274	ENDIF
275	#else
276	sums(:,1) = sums_l(:,1,0)
277	sums(:,2) = sums_l(:,2,0)
278	sums(:,4) = sums_l(:,4,0)
279	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
280	IF ( humidity ) THEN
281	sums(:,44) = sums_l(:,44,0)
282	sums(:,41) = sums_l(:,41,0)
283	IF ( cloud_physics ) THEN
284	sums(:,42) = sums_l(:,42,0)
285	sums(:,43) = sums_l(:,43,0)
286	ENDIF
287	ENDIF
288	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
289	#endif
290
291	!
292	!-- Final values are obtained by division by the total number of grid points
293	!-- used for summation. After that store profiles.
294	sums(:,1) = sums(:,1) / ngp_2dh(sr)
295	sums(:,2) = sums(:,2) / ngp_2dh(sr)
296	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
297	hom(:,1,1,sr) = sums(:,1) ! u
298	hom(:,1,2,sr) = sums(:,2) ! v
299	hom(:,1,4,sr) = sums(:,4) ! pt
300
301	!
302	!-- Salinity
303	IF ( ocean ) THEN
304	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
305	hom(:,1,23,sr) = sums(:,23) ! sa
306	ENDIF
307
308	!
309	!-- Humidity and cloud parameters
310	IF ( humidity ) THEN
311	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
312	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
313	hom(:,1,44,sr) = sums(:,44) ! vpt
314	hom(:,1,41,sr) = sums(:,41) ! qv (q)
315	IF ( cloud_physics ) THEN
316	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
317	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
318	hom(:,1,42,sr) = sums(:,42) ! qv
319	hom(:,1,43,sr) = sums(:,43) ! pt
320	ENDIF
321	ENDIF
322
323	!
324	!-- Passive scalar
325	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
326	ngp_2dh_s_inner(:,sr) ! s (q)
327
328	!
329	!-- Horizontally averaged profiles of the remaining prognostic variables,
330	!-- variances, the total and the perturbation energy (single values in last
331	!-- column of sums_l) and some diagnostic quantities.
332	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
333	!-- ---- speaking the following k-loop would have to be split up and
334	!-- rearranged according to the staggered grid.
335	!-- However, this implies no error since staggered velocity components
336	!-- are zero at the walls and inside buildings.
337	tn = 0
338	#if defined( __intel_openmp_bug )
339	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
340	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
341	tn = omp_get_thread_num()
342	#else
343	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
344	!$ tn = omp_get_thread_num()
345	#endif
346	!$OMP DO
347	DO i = nxl, nxr
348	DO j = nys, nyn
349	sums_l_etot = 0.0
350	sums_l_eper = 0.0
351	DO k = nzb_s_inner(j,i), nzt+1
352	u2 = u(k,j,i)**2
353	v2 = v(k,j,i)**2
354	w2 = w(k,j,i)**2
355	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
356	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
357	!
358	!-- Prognostic and diagnostic variables
359	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
360	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
361	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
362	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
363	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
364
365	!
366	!-- Variances
367	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
368	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
369	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
370	sums_l(k,33,tn) = sums_l(k,33,tn) + &
371	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
372	!
373	!-- Higher moments
374	!-- (Computation of the skewness of w further below)
375	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i) * w2 * &
376	rmask(j,i,sr)
377	!
378	!-- Perturbation energy
379	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * ( ust2 + vst2 + w2 ) &
380	* rmask(j,i,sr)
381	sums_l_etot = sums_l_etot + &
382	0.5 * ( u2 + v2 + w2 ) * rmask(j,i,sr)
383	sums_l_eper = sums_l_eper + &
384	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
385	ENDDO
386	!
387	!-- Total and perturbation energy for the total domain (being
388	!-- collected in the last column of sums_l). Summation of these
389	!-- quantities is seperated from the previous loop in order to
390	!-- allow vectorization of that loop.
391	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
392	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) + sums_l_eper
393	!
394	!-- 2D-arrays (being collected in the last column of sums_l)
395	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
396	us(j,i) * rmask(j,i,sr)
397	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
398	usws(j,i) * rmask(j,i,sr)
399	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
400	vsws(j,i) * rmask(j,i,sr)
401	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
402	ts(j,i) * rmask(j,i,sr)
403	IF ( humidity ) THEN
404	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
405	qs(j,i) * rmask(j,i,sr)
406	ENDIF
407	ENDDO
408	ENDDO
409
410	!
411	!-- Horizontally averaged profiles of the vertical fluxes
412	!$OMP DO
413	DO i = nxl, nxr
414	DO j = nys, nyn
415	!
416	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
417	!-- oterwise from k=nzb+1)
418	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
419	!-- ---- strictly speaking the following k-loop would have to be
420	!-- split up according to the staggered grid.
421	!-- However, this implies no error since staggered velocity
422	!-- components are zero at the walls and inside buildings.
423
424	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
425	!
426	!-- Momentum flux w"u"
427	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
428	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
429	) * ( &
430	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
431	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
432	) * rmask(j,i,sr)
433	!
434	!-- Momentum flux w"v"
435	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
436	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
437	) * ( &
438	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
439	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
440	) * rmask(j,i,sr)
441	!
442	!-- Heat flux w"pt"
443	sums_l(k,16,tn) = sums_l(k,16,tn) &
444	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
445	* ( pt(k+1,j,i) - pt(k,j,i) ) &
446	* ddzu(k+1) * rmask(j,i,sr)
447
448
449	!
450	!-- Salinity flux w"sa"
451	IF ( ocean ) THEN
452	sums_l(k,65,tn) = sums_l(k,65,tn) &
453	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
454	* ( sa(k+1,j,i) - sa(k,j,i) ) &
455	* ddzu(k+1) * rmask(j,i,sr)
456	ENDIF
457
458	!
459	!-- Buoyancy flux, water flux (humidity flux) w"q"
460	IF ( humidity ) THEN
461	sums_l(k,45,tn) = sums_l(k,45,tn) &
462	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
463	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
464	* ddzu(k+1) * rmask(j,i,sr)
465	sums_l(k,48,tn) = sums_l(k,48,tn) &
466	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
467	* ( q(k+1,j,i) - q(k,j,i) ) &
468	* ddzu(k+1) * rmask(j,i,sr)
469	IF ( cloud_physics ) THEN
470	sums_l(k,51,tn) = sums_l(k,51,tn) &
471	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
472	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
473	- ( q(k,j,i) - ql(k,j,i) ) ) &
474	* ddzu(k+1) * rmask(j,i,sr)
475	ENDIF
476	ENDIF
477
478	!
479	!-- Passive scalar flux
480	IF ( passive_scalar ) THEN
481	sums_l(k,48,tn) = sums_l(k,48,tn) &
482	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
483	* ( q(k+1,j,i) - q(k,j,i) ) &
484	* ddzu(k+1) * rmask(j,i,sr)
485	ENDIF
486
487	ENDDO
488
489	!
490	!-- Subgridscale fluxes in the Prandtl layer
491	IF ( use_surface_fluxes ) THEN
492	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
493	usws(j,i) * rmask(j,i,sr) ! w"u"
494	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
495	vsws(j,i) * rmask(j,i,sr) ! w"v"
496	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
497	shf(j,i) * rmask(j,i,sr) ! w"pt"
498	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
499	0.0 * rmask(j,i,sr) ! u"pt"
500	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
501	0.0 * rmask(j,i,sr) ! v"pt"
502	IF ( ocean ) THEN
503	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
504	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
505	ENDIF
506	IF ( humidity ) THEN
507	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
508	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
509	IF ( cloud_physics ) THEN
510	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
511	( 1.0 + 0.61 * q(nzb,j,i) ) * &
512	shf(j,i) + 0.61 * pt(nzb,j,i) * &
513	qsws(j,i) &
514	)
515	!
516	!-- Formula does not work if ql(nzb) /= 0.0
517	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
518	qsws(j,i) * rmask(j,i,sr)
519	ENDIF
520	ENDIF
521	IF ( passive_scalar ) THEN
522	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
523	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
524	ENDIF
525	ENDIF
526
527	!
528	!-- Subgridscale fluxes at the top surface
529	IF ( use_top_fluxes ) THEN
530	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
531	uswst(j,i) * rmask(j,i,sr) ! w"u"
532	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
533	vswst(j,i) * rmask(j,i,sr) ! w"v"
534	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
535	tswst(j,i) * rmask(j,i,sr) ! w"pt"
536	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
537	0.0 * rmask(j,i,sr) ! u"pt"
538	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
539	0.0 * rmask(j,i,sr) ! v"pt"
540
541	IF ( ocean ) THEN
542	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
543	saswst(j,i) * rmask(j,i,sr) ! w"sa"
544	ENDIF
545	IF ( humidity ) THEN
546	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
547	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
548	IF ( cloud_physics ) THEN
549	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
550	( 1.0 + 0.61 * q(nzt,j,i) ) * &
551	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
552	qsws(j,i) &
553	)
554	!
555	!-- Formula does not work if ql(nzb) /= 0.0
556	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
557	qswst(j,i) * rmask(j,i,sr)
558	ENDIF
559	ENDIF
560	IF ( passive_scalar ) THEN
561	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
562	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
563	ENDIF
564	ENDIF
565
566	!
567	!-- Resolved fluxes (can be computed for all horizontal points)
568	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
569	!-- ---- speaking the following k-loop would have to be split up and
570	!-- rearranged according to the staggered grid.
571	DO k = nzb_s_inner(j,i), nzt
572	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
573	u(k+1,j,i) - hom(k+1,1,1,sr) )
574	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
575	v(k+1,j,i) - hom(k+1,1,2,sr) )
576	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
577	pt(k+1,j,i) - hom(k+1,1,4,sr) )
578	!
579	!-- Momentum flux wu
580	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
581	( w(k,j,i-1) + w(k,j,i) ) &
582	* ust * rmask(j,i,sr)
583	!
584	!-- Momentum flux wv
585	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
586	( w(k,j-1,i) + w(k,j,i) ) &
587	* vst * rmask(j,i,sr)
588	!
589	!-- Heat flux wpt
590	!-- The following formula (comment line, not executed) does not
591	!-- work if applied to subregions
592	! sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
593	! ( pt(k,j,i)+pt(k+1,j,i) ) &
594	! * w(k,j,i) * rmask(j,i,sr)
595	sums_l(k,17,tn) = sums_l(k,17,tn) + pts * w(k,j,i) * &
596	rmask(j,i,sr)
597	!
598	!-- Higher moments
599	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
600	rmask(j,i,sr)
601	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
602	rmask(j,i,sr)
603
604	!
605	!-- Salinity flux and density (density does not belong to here,
606	!-- but so far there is no other suitable place to calculate)
607	IF ( ocean ) THEN
608	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
609	sa(k+1,j,i) - hom(k+1,1,23,sr) )
610	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
611	rmask(j,i,sr)
612	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
613	rmask(j,i,sr)
614	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
615	rmask(j,i,sr)
616	ENDIF
617
618	!
619	!-- Buoyancy flux, water flux, humidity flux and liquid water
620	!-- content
621	IF ( humidity ) THEN
622	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
623	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
624	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
625	rmask(j,i,sr)
626	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
627	q(k+1,j,i) - hom(k+1,1,41,sr) )
628	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
629	rmask(j,i,sr)
630	IF ( cloud_physics .OR. cloud_droplets ) THEN
631	pts = 0.5 * &
632	( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) &
633	+ ( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) )
634	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
635	rmask(j,i,sr)
636	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
637	rmask(j,i,sr)
638	ENDIF
639	ENDIF
640
641	!
642	!-- Passive scalar flux
643	IF ( passive_scalar ) THEN
644	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
645	q(k+1,j,i) - hom(k+1,1,41,sr) )
646	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
647	rmask(j,i,sr)
648	ENDIF
649
650	!
651	!-- Energy flux we
652	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
653	( ust2 + vst2 + w(k,j,i)**2 )&
654	* rmask(j,i,sr)
655
656	ENDDO
657	ENDDO
658	ENDDO
659
660	!
661	!-- Density at top follows Neumann condition
662	IF ( ocean ) THEN
663	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
664	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
665	ENDIF
666
667	!
668	!-- Divergence of vertical flux of resolved scale energy and pressure
669	!-- fluctuations as well as flux of pressure fluctuation itself (68).
670	!-- First calculate the products, then the divergence.
671	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
672	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
673
674	sums_ll = 0.0 ! local array
675
676	!$OMP DO
677	DO i = nxl, nxr
678	DO j = nys, nyn
679	DO k = nzb_s_inner(j,i)+1, nzt
680
681	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
682	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
683	- 2.0 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
684	) )**2 &
685	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
686	- 2.0 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
687	) )**2 &
688	+ w(k,j,i)**2 )
689
690	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
691	* ( p(k,j,i) + p(k+1,j,i) )
692
693	ENDDO
694	ENDDO
695	ENDDO
696	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
697	sums_ll(nzt+1,1) = 0.0
698	sums_ll(0,2) = 0.0
699	sums_ll(nzt+1,2) = 0.0
700
701	DO k = nzb_s_inner(j,i)+1, nzt
702	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
703	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
704	sums_l(k,68,tn) = sums_ll(k,2)
705	ENDDO
706	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
707	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
708	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
709
710	ENDIF
711
712	!
713	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
714	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
715
716	!$OMP DO
717	DO i = nxl, nxr
718	DO j = nys, nyn
719	DO k = nzb_s_inner(j,i)+1, nzt
720
721	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
722	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
723	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
724	) * ddzw(k)
725
726	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
727	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
728	)
729
730	ENDDO
731	ENDDO
732	ENDDO
733	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
734	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
735
736	ENDIF
737
738	!
739	!-- Horizontal heat fluxes (subgrid, resolved, total).
740	!-- Do it only, if profiles shall be plotted.
741	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
742
743	!$OMP DO
744	DO i = nxl, nxr
745	DO j = nys, nyn
746	DO k = nzb_s_inner(j,i)+1, nzt
747	!
748	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
749	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
750	( kh(k,j,i) + kh(k,j,i-1) ) &
751	* ( pt(k,j,i-1) - pt(k,j,i) ) &
752	* ddx * rmask(j,i,sr)
753	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
754	( kh(k,j,i) + kh(k,j-1,i) ) &
755	* ( pt(k,j-1,i) - pt(k,j,i) ) &
756	* ddy * rmask(j,i,sr)
757	!
758	!-- Resolved horizontal heat fluxes upt, vpt
759	sums_l(k,59,tn) = sums_l(k,59,tn) + &
760	( u(k,j,i) - hom(k,1,1,sr) ) &
761	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
762	pt(k,j,i) - hom(k,1,4,sr) )
763	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
764	pt(k,j,i) - hom(k,1,4,sr) )
765	sums_l(k,62,tn) = sums_l(k,62,tn) + &
766	( v(k,j,i) - hom(k,1,2,sr) ) &
767	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
768	pt(k,j,i) - hom(k,1,4,sr) )
769	ENDDO
770	ENDDO
771	ENDDO
772	!
773	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
774	sums_l(nzb,58,tn) = 0.0
775	sums_l(nzb,59,tn) = 0.0
776	sums_l(nzb,60,tn) = 0.0
777	sums_l(nzb,61,tn) = 0.0
778	sums_l(nzb,62,tn) = 0.0
779	sums_l(nzb,63,tn) = 0.0
780
781	ENDIF
782
783	!
784	!-- Calculate the user-defined profiles
785	CALL user_statistics( 'profiles', sr, tn )
786	!$OMP END PARALLEL
787
788	!
789	!-- Summation of thread sums
790	IF ( threads_per_task > 1 ) THEN
791	DO i = 1, threads_per_task-1
792	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
793	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
794	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
795	sums_l(:,45:pr_palm,i)
796	IF ( max_pr_user > 0 ) THEN
797	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
798	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
799	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
800	ENDIF
801	ENDDO
802	ENDIF
803
804	#if defined( __parallel )
805	!
806	!-- Compute total sum from local sums
807	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
808	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
809	MPI_SUM, comm2d, ierr )
810	#else
811	sums = sums_l(:,:,0)
812	#endif
813
814	!
815	!-- Final values are obtained by division by the total number of grid points
816	!-- used for summation. After that store profiles.
817	!-- Profiles:
818	DO k = nzb, nzt+1
819	sums(k,3) = sums(k,3) / ngp_2dh(sr)
820	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
821	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
822	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
823	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
824	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
825	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
826	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
827	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
828	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
829	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
830	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
831	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
832	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
833	ENDDO
834	!-- Upstream-parts
835	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
836	!-- u* and so on
837	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
838	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
839	!-- above the topography, they are being divided by ngp_2dh(sr)
840	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
841	ngp_2dh(sr)
842	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
843	ngp_2dh(sr)
844	!-- eges, e*
845	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
846	ngp_3d(sr)
847	!-- Old and new divergence
848	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
849	ngp_3d_inner(sr)
850
851	!-- User-defined profiles
852	IF ( max_pr_user > 0 ) THEN
853	DO k = nzb, nzt+1
854	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
855	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
856	ngp_2dh_s_inner(k,sr)
857	ENDDO
858	ENDIF
859
860	!
861	!-- Collect horizontal average in hom.
862	!-- Compute deduced averages (e.g. total heat flux)
863	hom(:,1,3,sr) = sums(:,3) ! w
864	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
865	hom(:,1,9,sr) = sums(:,9) ! km
866	hom(:,1,10,sr) = sums(:,10) ! kh
867	hom(:,1,11,sr) = sums(:,11) ! l
868	hom(:,1,12,sr) = sums(:,12) ! w"u"
869	hom(:,1,13,sr) = sums(:,13) ! wu
870	hom(:,1,14,sr) = sums(:,14) ! w"v"
871	hom(:,1,15,sr) = sums(:,15) ! wv
872	hom(:,1,16,sr) = sums(:,16) ! w"pt"
873	hom(:,1,17,sr) = sums(:,17) ! wpt
874	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
875	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
876	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
877	hom(:,1,21,sr) = sums(:,21) ! wptBC
878	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
879	! profile 24 is initial profile (sa)
880	! profiles 25-29 left empty for initial
881	! profiles
882	hom(:,1,30,sr) = sums(:,30) ! u*2
883	hom(:,1,31,sr) = sums(:,31) ! v*2
884	hom(:,1,32,sr) = sums(:,32) ! w*2
885	hom(:,1,33,sr) = sums(:,33) ! pt*2
886	hom(:,1,34,sr) = sums(:,34) ! e*
887	hom(:,1,35,sr) = sums(:,35) ! w2pt
888	hom(:,1,36,sr) = sums(:,36) ! wpt2
889	hom(:,1,37,sr) = sums(:,37) ! we
890	hom(:,1,38,sr) = sums(:,38) ! w*3
891	hom(:,1,39,sr) = sums(:,38) / ( sums(:,32) + 1E-20 )**1.5 ! Sw
892	hom(:,1,40,sr) = sums(:,40) ! p
893	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
894	hom(:,1,46,sr) = sums(:,46) ! wvpt
895	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
896	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
897	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
898	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
899	hom(:,1,51,sr) = sums(:,51) ! w"qv"
900	hom(:,1,52,sr) = sums(:,52) ! wqv
901	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
902	hom(:,1,54,sr) = sums(:,54) ! ql
903	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
904	hom(:,1,56,sr) = sums(:,56) ! wp/dz
905	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
906	hom(:,1,58,sr) = sums(:,58) ! u"pt"
907	hom(:,1,59,sr) = sums(:,59) ! upt
908	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
909	hom(:,1,61,sr) = sums(:,61) ! v"pt"
910	hom(:,1,62,sr) = sums(:,62) ! vpt
911	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
912	hom(:,1,64,sr) = sums(:,64) ! rho
913	hom(:,1,65,sr) = sums(:,65) ! w"sa"
914	hom(:,1,66,sr) = sums(:,66) ! wsa
915	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
916	hom(:,1,68,sr) = sums(:,68) ! wp
917	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
918	hom(:,1,70,sr) = sums(:,70) ! q*2
919	hom(:,1,71,sr) = sums(:,71) ! prho
920	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
921
922	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
923	! upstream-parts u_x, u_y, u_z, v_x,
924	! v_y, usw. (in last but one profile)
925	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
926	! u, w'u', w'v', t (in last profile)
927
928	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
929	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
930	sums(:,pr_palm+1:pr_palm+max_pr_user)
931	ENDIF
932
933	!
934	!-- Determine the boundary layer height using two different schemes.
935	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
936	!-- first relative minimum (maximum) of the total heat flux.
937	!-- The corresponding height is assumed as the boundary layer height, if it
938	!-- is less than 1.5 times the height where the heat flux becomes negative
939	!-- (positive) for the first time.
940	z_i(1) = 0.0
941	first = .TRUE.
942	IF ( ocean ) THEN
943	DO k = nzt, nzb+1, -1
944	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
945	first = .FALSE.
946	height = zw(k)
947	ENDIF
948	IF ( hom(k,1,18,sr) < 0.0 .AND. &
949	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
950	IF ( zw(k) < 1.5 * height ) THEN
951	z_i(1) = zw(k)
952	ELSE
953	z_i(1) = height
954	ENDIF
955	EXIT
956	ENDIF
957	ENDDO
958	ELSE
959	DO k = nzb, nzt-1
960	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
961	first = .FALSE.
962	height = zw(k)
963	ENDIF
964	IF ( hom(k,1,18,sr) < 0.0 .AND. &
965	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
966	IF ( zw(k) < 1.5 * height ) THEN
967	z_i(1) = zw(k)
968	ELSE
969	z_i(1) = height
970	ENDIF
971	EXIT
972	ENDIF
973	ENDDO
974	ENDIF
975
976	!
977	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
978	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
979	!-- maximal local temperature gradient: starting from the second (the last
980	!-- but one) vertical gridpoint, the local gradient must be at least
981	!-- 0.2K/100m and greater than the next four gradients.
982	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
983	!-- ocean case!
984	z_i(2) = 0.0
985	DO k = nzb+1, nzt+1
986	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
987	ENDDO
988	dptdz_threshold = 0.2 / 100.0
989
990	IF ( ocean ) THEN
991	DO k = nzt+1, nzb+5, -1
992	IF ( dptdz(k) > dptdz_threshold .AND. &
993	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
994	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
995	z_i(2) = zw(k-1)
996	EXIT
997	ENDIF
998	ENDDO
999	ELSE
1000	DO k = nzb+1, nzt-3
1001	IF ( dptdz(k) > dptdz_threshold .AND. &
1002	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
1003	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
1004	z_i(2) = zw(k-1)
1005	EXIT
1006	ENDIF
1007	ENDDO
1008	ENDIF
1009
1010	hom(nzb+6,1,pr_palm,sr) = z_i(1)
1011	hom(nzb+7,1,pr_palm,sr) = z_i(2)
1012
1013	!
1014	!-- Computation of both the characteristic vertical velocity and
1015	!-- the characteristic convective boundary layer temperature.
1016	!-- The horizontal average at nzb+1 is input for the average temperature.
1017	IF ( hom(nzb,1,18,sr) > 0.0 .AND. z_i(1) /= 0.0 ) THEN
1018	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
1019	hom(nzb,1,18,sr) * &
1020	ABS( z_i(1) ) )**0.333333333
1021	!-- so far this only works if Prandtl layer is used
1022	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
1023	ELSE
1024	hom(nzb+8,1,pr_palm,sr) = 0.0
1025	hom(nzb+11,1,pr_palm,sr) = 0.0
1026	ENDIF
1027
1028	!
1029	!-- Collect the time series quantities
1030	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
1031	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
1032	ts_value(3,sr) = dt_3d
1033	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
1034	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
1035	ts_value(6,sr) = u_max
1036	ts_value(7,sr) = v_max
1037	ts_value(8,sr) = w_max
1038	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
1039	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
1040	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
1041	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
1042	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
1043	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
1044	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
1045	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
1046	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
1047	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
1048	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
1049	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
1050	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
1051
1052	IF ( ts_value(5,sr) /= 0.0 ) THEN
1053	ts_value(22,sr) = ts_value(4,sr)**2 / &
1054	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
1055	ELSE
1056	ts_value(22,sr) = 10000.0
1057	ENDIF
1058
1059	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
1060	!
1061	!-- Calculate additional statistics provided by the user interface
1062	CALL user_statistics( 'time_series', sr, 0 )
1063
1064	ENDDO ! loop of the subregions
1065
1066	!
1067	!-- If required, sum up horizontal averages for subsequent time averaging
1068	IF ( do_sum ) THEN
1069	IF ( average_count_pr == 0 ) hom_sum = 0.0
1070	hom_sum = hom_sum + hom(:,1,:,:)
1071	average_count_pr = average_count_pr + 1
1072	do_sum = .FALSE.
1073	ENDIF
1074
1075	!
1076	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
1077	!-- This flag is reset after each time step in time_integration.
1078	flow_statistics_called = .TRUE.
1079
1080	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
1081
1082
1083	END SUBROUTINE flow_statistics
1084
1085
1086

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source: palm/trunk/SOURCE/flow_statistics.f90 @ 622

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