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source: palm/trunk/SOURCE/flow_statistics.f90 @ 88

Last change on this file since 88 was 87, checked in by raasch, 18 years ago
Preliminary update for user defined profiles
Property svn:keywords set to `Id`
File size: 37.9 KB

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

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