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source: palm/trunk/SOURCE/flow_statistics.f90 @ 68

Last change on this file since 68 was 51, checked in by raasch, 18 years ago
preliminary version, several changes to be explained later
Property svn:keywords set to `Id`
File size: 36.7 KB

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1	SUBROUTINE flow_statistics
2
3	!------------------------------------------------------------------------------!
4	! Actual revisions:
5	! -----------------
6	! Collection of time series quantities moved from routine flow_statistics to
7	! here, routine user_statistics is called for each statistic region
8	!
9	! Former revisions:
10	! -----------------
11	! $Id: flow_statistics.f90 51 2007-03-07 08:38:00Z raasch $
12	! fluxes at top modified (tswst, qswst)
13	!
14	! 19 2007-02-23 04:53:48Z raasch
15	!
16	! RCS Log replace by Id keyword, revision history cleaned up
17	!
18	! Revision 1.41 2006/08/04 14:37:50 raasch
19	! Error removed in non-parallel part (sums_l)
20	!
21	! Revision 1.1 1997/08/11 06:15:17 raasch
22	! Initial revision
23	!
24	!
25	! Description:
26	! ------------
27	! Compute average profiles and further average flow quantities for the different
28	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
29	!
30	! NOTE: For simplicity, nzb_s_outer and nzb_diff_s_outer are being used as a
31	! ---- lower vertical index for k-loops for all variables so that regardless
32	! of the variable and its respective staggered grid always the same number of
33	! grid points is used for 2D averages. The disadvantage: depending on the
34	! variable, up to one grid layer adjacent to the (vertical walls of the)
35	! topography is missed out by this simplification.
36	!------------------------------------------------------------------------------!
37
38	USE arrays_3d
39	USE cloud_parameters
40	USE cpulog
41	USE grid_variables
42	USE indices
43	USE interfaces
44	USE pegrid
45	USE statistics
46	USE control_parameters
47
48	IMPLICIT NONE
49
50	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
51	LOGICAL :: first
52	REAL :: height, pts, sums_l_eper, sums_l_etot, ust, ust2, u2, vst, &
53	vst2, v2, w2, z_i(2)
54	REAL :: sums_ll(nzb:nzt+1,2)
55
56
57	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
58
59	!
60	!-- To be on the safe side, check whether flow_statistics has already been
61	!-- called once after the current time step
62	IF ( flow_statistics_called ) THEN
63	IF ( myid == 0 ) PRINT*, '+++ WARNING: flow_statistics is called two', &
64	' times within one timestep'
65	CALL local_stop
66	ENDIF
67
68	!
69	!-- Compute statistics for each (sub-)region
70	DO sr = 0, statistic_regions
71
72	!
73	!-- Initialize (local) summation array
74	sums_l = 0.0
75
76	!
77	!-- Store sums that have been computed in other subroutines in summation
78	!-- array
79	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
80	!-- WARNING: next line still has to be adjusted for OpenMP
81	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
82	sums_l(nzb+9,var_sum,0) = sums_divold_l(sr) ! old divergence from pres
83	sums_l(nzb+10,var_sum,0) = sums_divnew_l(sr) ! new divergence from pres
84	!-- WARNING: next four lines still may have to be adjusted for OpenMP
85	sums_l(nzb:nzb+2,var_sum-1,0) = sums_up_fraction_l(1,1:3,sr)! upstream
86	sums_l(nzb+3:nzb+5,var_sum-1,0) = sums_up_fraction_l(2,1:3,sr)! parts
87	sums_l(nzb+6:nzb+8,var_sum-1,0) = sums_up_fraction_l(3,1:3,sr)! from
88	sums_l(nzb+9:nzb+11,var_sum-1,0) = sums_up_fraction_l(4,1:3,sr)! spline
89
90	!
91	!-- Horizontally averaged profiles of horizontal velocities and temperature.
92	!-- They must have been computed before, because they are already required
93	!-- for other horizontal averages.
94	tn = 0
95	!$OMP PARALLEL PRIVATE( i, j, k, tn )
96	#if defined( __lcmuk )
97	tn = omp_get_thread_num()
98	#else
99	!$ tn = omp_get_thread_num()
100	#endif
101
102	!$OMP DO
103	DO i = nxl, nxr
104	DO j = nys, nyn
105	DO k = nzb_s_outer(j,i), nzt+1
106	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
107	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
108	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
109	ENDDO
110	ENDDO
111	ENDDO
112
113	!
114	!-- Horizontally averaged profiles of virtual potential temperature,
115	!-- total water content, specific humidity and liquid water potential
116	!-- temperature
117	IF ( moisture ) THEN
118	!$OMP DO
119	DO i = nxl, nxr
120	DO j = nys, nyn
121	DO k = nzb_s_outer(j,i), nzt+1
122	sums_l(k,44,tn) = sums_l(k,44,tn) + &
123	vpt(k,j,i) * rmask(j,i,sr)
124	sums_l(k,41,tn) = sums_l(k,41,tn) + &
125	q(k,j,i) * rmask(j,i,sr)
126	ENDDO
127	ENDDO
128	ENDDO
129	IF ( cloud_physics ) THEN
130	!$OMP DO
131	DO i = nxl, nxr
132	DO j = nys, nyn
133	DO k = nzb_s_outer(j,i), nzt+1
134	sums_l(k,42,tn) = sums_l(k,42,tn) + &
135	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
136	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
137	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
138	) * rmask(j,i,sr)
139	ENDDO
140	ENDDO
141	ENDDO
142	ENDIF
143	ENDIF
144
145	!
146	!-- Horizontally averaged profiles of passive scalar
147	IF ( passive_scalar ) THEN
148	!$OMP DO
149	DO i = nxl, nxr
150	DO j = nys, nyn
151	DO k = nzb_s_outer(j,i), nzt+1
152	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
153	ENDDO
154	ENDDO
155	ENDDO
156	ENDIF
157	!$OMP END PARALLEL
158
159	!
160	!-- Summation of thread sums
161	IF ( threads_per_task > 1 ) THEN
162	DO i = 1, threads_per_task-1
163	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
164	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
165	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
166	IF ( moisture ) THEN
167	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
168	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
169	IF ( cloud_physics ) THEN
170	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
171	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
172	ENDIF
173	ENDIF
174	IF ( passive_scalar ) THEN
175	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
176	ENDIF
177	ENDDO
178	ENDIF
179
180	#if defined( __parallel )
181	!
182	!-- Compute total sum from local sums
183	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
184	MPI_SUM, comm2d, ierr )
185	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
186	MPI_SUM, comm2d, ierr )
187	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
188	MPI_SUM, comm2d, ierr )
189	IF ( moisture ) THEN
190	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
191	MPI_REAL, MPI_SUM, comm2d, ierr )
192	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
193	MPI_REAL, MPI_SUM, comm2d, ierr )
194	IF ( cloud_physics ) THEN
195	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
196	MPI_REAL, MPI_SUM, comm2d, ierr )
197	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
198	MPI_REAL, MPI_SUM, comm2d, ierr )
199	ENDIF
200	ENDIF
201
202	IF ( passive_scalar ) THEN
203	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
204	MPI_REAL, MPI_SUM, comm2d, ierr )
205	ENDIF
206	#else
207	sums(:,1) = sums_l(:,1,0)
208	sums(:,2) = sums_l(:,2,0)
209	sums(:,4) = sums_l(:,4,0)
210	IF ( moisture ) THEN
211	sums(:,44) = sums_l(:,44,0)
212	sums(:,41) = sums_l(:,41,0)
213	IF ( cloud_physics ) THEN
214	sums(:,42) = sums_l(:,42,0)
215	sums(:,43) = sums_l(:,43,0)
216	ENDIF
217	ENDIF
218	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
219	#endif
220
221	!
222	!-- Final values are obtained by division by the total number of grid points
223	!-- used for summation. After that store profiles.
224	sums(:,1) = sums(:,1) / ngp_2dh_outer(:,sr)
225	sums(:,2) = sums(:,2) / ngp_2dh_outer(:,sr)
226	sums(:,4) = sums(:,4) / ngp_2dh_outer(:,sr)
227	hom(:,1,1,sr) = sums(:,1) ! u
228	hom(:,1,2,sr) = sums(:,2) ! v
229	hom(:,1,4,sr) = sums(:,4) ! pt
230
231	!
232	!-- Humidity and cloud parameters
233	IF ( moisture ) THEN
234	sums(:,44) = sums(:,44) / ngp_2dh_outer(:,sr)
235	sums(:,41) = sums(:,41) / ngp_2dh_outer(:,sr)
236	hom(:,1,44,sr) = sums(:,44) ! vpt
237	hom(:,1,41,sr) = sums(:,41) ! qv (q)
238	IF ( cloud_physics ) THEN
239	sums(:,42) = sums(:,42) / ngp_2dh_outer(:,sr)
240	sums(:,43) = sums(:,43) / ngp_2dh_outer(:,sr)
241	hom(:,1,42,sr) = sums(:,42) ! qv
242	hom(:,1,43,sr) = sums(:,43) ! pt
243	ENDIF
244	ENDIF
245
246	!
247	!-- Passive scalar
248	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / ngp_2dh_outer(:,sr)
249
250	!
251	!-- Horizontally averaged profiles of the remaining prognostic variables,
252	!-- variances, the total and the perturbation energy (single values in last
253	!-- column of sums_l) and some diagnostic quantities.
254	!-- NOTE: for simplicity, nzb_s_outer is used below, although strictly
255	!-- ---- speaking the following k-loop would have to be split up and
256	!-- rearranged according to the staggered grid.
257	tn = 0
258	#if defined( __lcmuk )
259	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
260	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
261	tn = omp_get_thread_num()
262	#else
263	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
264	!$ tn = omp_get_thread_num()
265	#endif
266	!$OMP DO
267	DO i = nxl, nxr
268	DO j = nys, nyn
269	sums_l_etot = 0.0
270	sums_l_eper = 0.0
271	DO k = nzb_s_outer(j,i), nzt+1
272	u2 = u(k,j,i)**2
273	v2 = v(k,j,i)**2
274	w2 = w(k,j,i)**2
275	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
276	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
277	!
278	!-- Prognostic and diagnostic variables
279	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
280	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
281	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
282	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
283	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
284
285	!
286	!-- Variances
287	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
288	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
289	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
290	sums_l(k,33,tn) = sums_l(k,33,tn) + &
291	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
292	!
293	!-- Higher moments
294	!-- (Computation of the skewness of w further below)
295	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i) * w2 * &
296	rmask(j,i,sr)
297	!
298	!-- Perturbation energy
299	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * ( ust2 + vst2 + w2 ) &
300	* rmask(j,i,sr)
301	sums_l_etot = sums_l_etot + &
302	0.5 * ( u2 + v2 + w2 ) * rmask(j,i,sr)
303	sums_l_eper = sums_l_eper + &
304	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
305	ENDDO
306	!
307	!-- Total and perturbation energy for the total domain (being
308	!-- collected in the last column of sums_l). Summation of these
309	!-- quantities is seperated from the previous loop in order to
310	!-- allow vectorization of that loop.
311	sums_l(nzb+4,var_sum,tn) = sums_l(nzb+4,var_sum,tn) + sums_l_etot
312	sums_l(nzb+5,var_sum,tn) = sums_l(nzb+5,var_sum,tn) + sums_l_eper
313	!
314	!-- 2D-arrays (being collected in the last column of sums_l)
315	sums_l(nzb,var_sum,tn) = sums_l(nzb,var_sum,tn) + &
316	us(j,i) * rmask(j,i,sr)
317	sums_l(nzb+1,var_sum,tn) = sums_l(nzb+1,var_sum,tn) + &
318	usws(j,i) * rmask(j,i,sr)
319	sums_l(nzb+2,var_sum,tn) = sums_l(nzb+2,var_sum,tn) + &
320	vsws(j,i) * rmask(j,i,sr)
321	sums_l(nzb+3,var_sum,tn) = sums_l(nzb+3,var_sum,tn) + &
322	ts(j,i) * rmask(j,i,sr)
323	ENDDO
324	ENDDO
325
326	!
327	!-- Horizontally averaged profiles of the vertical fluxes
328	!$OMP DO
329	DO i = nxl, nxr
330	DO j = nys, nyn
331	!
332	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
333	!-- oterwise from k=nzb+1)
334	!-- NOTE: for simplicity, nzb_diff_s_outer is used below, although
335	!-- ---- strictly speaking the following k-loop would have to be
336	!-- split up according to the staggered grid.
337	DO k = nzb_diff_s_outer(j,i)-1, nzt
338	!
339	!-- Momentum flux w"u"
340	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
341	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
342	) * ( &
343	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
344	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
345	) * rmask(j,i,sr)
346	!
347	!-- Momentum flux w"v"
348	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
349	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
350	) * ( &
351	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
352	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
353	) * rmask(j,i,sr)
354	ENDDO
355
356	DO k = nzb_diff_s_outer(j,i)-1, nzt_diff
357	!
358	!-- Heat flux w"pt"
359	sums_l(k,16,tn) = sums_l(k,16,tn) &
360	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
361	* ( pt(k+1,j,i) - pt(k,j,i) ) &
362	* ddzu(k+1) * rmask(j,i,sr)
363
364
365	!
366	!-- Buoyancy flux, water flux (humidity flux) w"q"
367	IF ( moisture ) THEN
368	sums_l(k,45,tn) = sums_l(k,45,tn) &
369	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
370	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
371	* ddzu(k+1) * rmask(j,i,sr)
372	sums_l(k,48,tn) = sums_l(k,48,tn) &
373	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
374	* ( q(k+1,j,i) - q(k,j,i) ) &
375	* ddzu(k+1) * rmask(j,i,sr)
376	IF ( cloud_physics ) THEN
377	sums_l(k,51,tn) = sums_l(k,51,tn) &
378	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
379	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
380	- ( q(k,j,i) - ql(k,j,i) ) ) &
381	* ddzu(k+1) * rmask(j,i,sr)
382	ENDIF
383	ENDIF
384
385	!
386	!-- Passive scalar flux
387	IF ( passive_scalar ) THEN
388	sums_l(k,48,tn) = sums_l(k,48,tn) &
389	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
390	* ( q(k+1,j,i) - q(k,j,i) ) &
391	* ddzu(k+1) * rmask(j,i,sr)
392	ENDIF
393
394	ENDDO
395
396	!
397	!-- Subgridscale fluxes in the Prandtl layer
398	IF ( use_surface_fluxes ) THEN
399	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
400	usws(j,i) * rmask(j,i,sr) ! w"u"
401	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
402	vsws(j,i) * rmask(j,i,sr) ! w"v"
403	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
404	shf(j,i) * rmask(j,i,sr) ! w"pt"
405	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
406	0.0 * rmask(j,i,sr) ! u"pt"
407	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
408	0.0 * rmask(j,i,sr) ! v"pt"
409	IF ( moisture ) THEN
410	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
411	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
412	IF ( cloud_physics ) THEN
413	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
414	( 1.0 + 0.61 * q(nzb,j,i) ) * &
415	shf(j,i) + 0.61 * pt(nzb,j,i) * &
416	qsws(j,i) &
417	)
418	!
419	!-- Formula does not work if ql(nzb) /= 0.0
420	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
421	qsws(j,i) * rmask(j,i,sr)
422	ENDIF
423	ENDIF
424	IF ( passive_scalar ) THEN
425	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
426	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
427	ENDIF
428	ENDIF
429
430	!
431	!-- Subgridscale fluxes at the top surface
432	IF ( use_top_fluxes ) THEN
433	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
434	tswst(j,i) * rmask(j,i,sr) ! w"pt"
435	sums_l(nzt,58,tn) = sums_l(nzt,58,tn) + &
436	0.0 * rmask(j,i,sr) ! u"pt"
437	sums_l(nzt,61,tn) = sums_l(nzt,61,tn) + &
438	0.0 * rmask(j,i,sr) ! v"pt"
439	IF ( moisture ) THEN
440	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
441	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
442	IF ( cloud_physics ) THEN
443	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
444	( 1.0 + 0.61 * q(nzt,j,i) ) * &
445	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
446	qsws(j,i) &
447	)
448	!
449	!-- Formula does not work if ql(nzb) /= 0.0
450	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
451	qswst(j,i) * rmask(j,i,sr)
452	ENDIF
453	ENDIF
454	IF ( passive_scalar ) THEN
455	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
456	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
457	ENDIF
458	ENDIF
459
460	!
461	!-- Resolved fluxes (can be computed for all horizontal points)
462	!-- NOTE: for simplicity, nzb_s_outer is used below, although strictly
463	!-- ---- speaking the following k-loop would have to be split up and
464	!-- rearranged according to the staggered grid.
465	DO k = nzb_s_outer(j,i), nzt
466	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
467	u(k+1,j,i) - hom(k+1,1,1,sr) )
468	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
469	v(k+1,j,i) - hom(k+1,1,2,sr) )
470	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
471	pt(k+1,j,i) - hom(k+1,1,4,sr) )
472	!
473	!-- Momentum flux wu
474	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
475	( w(k,j,i-1) + w(k,j,i) ) &
476	* ust * rmask(j,i,sr)
477	!
478	!-- Momentum flux wv
479	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
480	( w(k,j-1,i) + w(k,j,i) ) &
481	* vst * rmask(j,i,sr)
482	!
483	!-- Heat flux wpt
484	!-- The following formula (comment line, not executed) does not
485	!-- work if applied to subregions
486	! sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
487	! ( pt(k,j,i)+pt(k+1,j,i) ) &
488	! * w(k,j,i) * rmask(j,i,sr)
489	sums_l(k,17,tn) = sums_l(k,17,tn) + pts * w(k,j,i) * &
490	rmask(j,i,sr)
491	!
492	!-- Higher moments
493	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
494	rmask(j,i,sr)
495	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
496	rmask(j,i,sr)
497
498	!
499	!-- Buoyancy flux, water flux, humidity flux and liquid water
500	!-- content
501	IF ( moisture ) THEN
502	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
503	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
504	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
505	rmask(j,i,sr)
506	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
507	q(k+1,j,i) - hom(k+1,1,41,sr) )
508	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
509	rmask(j,i,sr)
510	IF ( cloud_physics .OR. cloud_droplets ) THEN
511	pts = 0.5 * &
512	( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) &
513	+ ( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) )
514	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
515	rmask(j,i,sr)
516	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
517	rmask(j,i,sr)
518	ENDIF
519	ENDIF
520
521	!
522	!-- Passive scalar flux
523	IF ( passive_scalar ) THEN
524	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
525	q(k+1,j,i) - hom(k+1,1,41,sr) )
526	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
527	rmask(j,i,sr)
528	ENDIF
529
530	!
531	!-- Energy flux we
532	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
533	( ust2 + vst2 + w(k,j,i)**2 )&
534	* rmask(j,i,sr)
535
536	ENDDO
537	ENDDO
538	ENDDO
539
540	!
541	!-- Divergence of vertical flux of resolved scale energy and pressure
542	!-- fluctuations. First calculate the products, then the divergence.
543	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
544	IF ( hom(nzb+1,2,55,0) /= 0.0 ) THEN
545
546	sums_ll = 0.0 ! local array
547
548	!$OMP DO
549	DO i = nxl, nxr
550	DO j = nys, nyn
551	DO k = nzb_s_outer(j,i)+1, nzt
552
553	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
554	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
555	- 2.0 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
556	) )**2 &
557	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
558	- 2.0 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
559	) )**2 &
560	+ w(k,j,i)**2 )
561
562	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
563	* ( p(k,j,i) + p(k+1,j,i) )
564
565	ENDDO
566	ENDDO
567	ENDDO
568	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
569	sums_ll(nzt+1,1) = 0.0
570	sums_ll(0,2) = 0.0
571	sums_ll(nzt+1,2) = 0.0
572
573	DO k = nzb_s_outer(j,i)+1, nzt
574	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
575	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
576	ENDDO
577	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
578	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
579
580	ENDIF
581
582	!
583	!-- Divergence of vertical flux of SGS TKE
584	IF ( hom(nzb+1,2,57,0) /= 0.0 ) THEN
585
586	!$OMP DO
587	DO i = nxl, nxr
588	DO j = nys, nyn
589	DO k = nzb_s_outer(j,i)+1, nzt
590
591	sums_l(k,57,tn) = sums_l(k,57,tn) + ( &
592	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
593	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
594	) * ddzw(k)
595
596	ENDDO
597	ENDDO
598	ENDDO
599	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
600
601	ENDIF
602
603	!
604	!-- Horizontal heat fluxes (subgrid, resolved, total).
605	!-- Do it only, if profiles shall be plotted.
606	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
607
608	!$OMP DO
609	DO i = nxl, nxr
610	DO j = nys, nyn
611	DO k = nzb_s_outer(j,i)+1, nzt
612	!
613	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
614	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
615	( kh(k,j,i) + kh(k,j,i-1) ) &
616	* ( pt(k,j,i-1) - pt(k,j,i) ) &
617	* ddx * rmask(j,i,sr)
618	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
619	( kh(k,j,i) + kh(k,j-1,i) ) &
620	* ( pt(k,j-1,i) - pt(k,j,i) ) &
621	* ddy * rmask(j,i,sr)
622	!
623	!-- Resolved horizontal heat fluxes upt, vpt
624	sums_l(k,59,tn) = sums_l(k,59,tn) + &
625	( u(k,j,i) - hom(k,1,1,sr) ) &
626	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
627	pt(k,j,i) - hom(k,1,4,sr) )
628	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
629	pt(k,j,i) - hom(k,1,4,sr) )
630	sums_l(k,62,tn) = sums_l(k,62,tn) + &
631	( v(k,j,i) - hom(k,1,2,sr) ) &
632	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
633	pt(k,j,i) - hom(k,1,4,sr) )
634	ENDDO
635	ENDDO
636	ENDDO
637	!
638	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
639	sums(nzb,58) = 0.0
640	sums(nzb,59) = 0.0
641	sums(nzb,60) = 0.0
642	sums(nzb,61) = 0.0
643	sums(nzb,62) = 0.0
644	sums(nzb,63) = 0.0
645
646	ENDIF
647	!$OMP END PARALLEL
648
649	!
650	!-- Summation of thread sums
651	IF ( threads_per_task > 1 ) THEN
652	DO i = 1, threads_per_task-1
653	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
654	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
655	sums_l(:,45:var_sum,0) = sums_l(:,45:var_sum,0) + &
656	sums_l(:,45:var_sum,i)
657	ENDDO
658	ENDIF
659
660	#if defined( __parallel )
661	!
662	!-- Compute total sum from local sums
663	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
664	MPI_SUM, comm2d, ierr )
665	#else
666	sums = sums_l(:,:,0)
667	#endif
668
669	!
670	!-- Final values are obtained by division by the total number of grid points
671	!-- used for summation. After that store profiles.
672	!-- Profiles:
673	DO k = nzb, nzt+1
674	sums(k,:var_sum-2) = sums(k,:var_sum-2) / ngp_2dh_outer(k,sr)
675	ENDDO
676	!-- Upstream-parts
677	sums(nzb:nzb+11,var_sum-1) = sums(nzb:nzb+11,var_sum-1) / ngp_3d(sr)
678	!-- u* and so on
679	!-- As sums(nzb:nzb+3,var_sum) are full 2D arrays (us, usws, vsws, ts) whose
680	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
681	!-- above the topography, they are being divided by ngp_2dh(sr)
682	sums(nzb:nzb+3,var_sum) = sums(nzb:nzb+3,var_sum) / &
683	ngp_2dh(sr)
684	!-- eges, e*
685	sums(nzb+4:nzb+5,var_sum) = sums(nzb+4:nzb+5,var_sum) / &
686	ngp_3d_inner(sr)
687	!-- Old and new divergence
688	sums(nzb+9:nzb+10,var_sum) = sums(nzb+9:nzb+10,var_sum) / &
689	ngp_3d_inner(sr)
690
691	!
692	!-- Collect horizontal average in hom.
693	!-- Compute deduced averages (e.g. total heat flux)
694	hom(:,1,3,sr) = sums(:,3) ! w
695	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
696	hom(:,1,9,sr) = sums(:,9) ! km
697	hom(:,1,10,sr) = sums(:,10) ! kh
698	hom(:,1,11,sr) = sums(:,11) ! l
699	hom(:,1,12,sr) = sums(:,12) ! w"u"
700	hom(:,1,13,sr) = sums(:,13) ! wu
701	hom(:,1,14,sr) = sums(:,14) ! w"v"
702	hom(:,1,15,sr) = sums(:,15) ! wv
703	hom(:,1,16,sr) = sums(:,16) ! w"pt"
704	hom(:,1,17,sr) = sums(:,17) ! wpt
705	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
706	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
707	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
708	hom(:,1,21,sr) = sums(:,21) ! wptBC
709	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
710	! profiles 23-29 left empty for initial
711	! profiles
712	hom(:,1,30,sr) = sums(:,30) ! u*2
713	hom(:,1,31,sr) = sums(:,31) ! v*2
714	hom(:,1,32,sr) = sums(:,32) ! w*2
715	hom(:,1,33,sr) = sums(:,33) ! pt*2
716	hom(:,1,34,sr) = sums(:,34) ! e*
717	hom(:,1,35,sr) = sums(:,35) ! w2pt
718	hom(:,1,36,sr) = sums(:,36) ! wpt2
719	hom(:,1,37,sr) = sums(:,37) ! we
720	hom(:,1,38,sr) = sums(:,38) ! w*3
721	hom(:,1,39,sr) = sums(:,38) / ( sums(:,32) + 1E-20 )**1.5 ! Sw
722	hom(:,1,40,sr) = sums(:,40) ! p
723	hom(:,1,45,sr) = sums(:,45) ! w"q"
724	hom(:,1,46,sr) = sums(:,46) ! wvpt
725	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
726	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
727	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
728	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
729	hom(:,1,51,sr) = sums(:,51) ! w"qv"
730	hom(:,1,52,sr) = sums(:,52) ! wqv
731	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
732	hom(:,1,54,sr) = sums(:,54) ! ql
733	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
734	hom(:,1,56,sr) = sums(:,56) ! wp/dz
735	hom(:,1,57,sr) = sums(:,57) ! w"e/dz
736	hom(:,1,58,sr) = sums(:,58) ! u"pt"
737	hom(:,1,59,sr) = sums(:,59) ! upt
738	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
739	hom(:,1,61,sr) = sums(:,61) ! v"pt"
740	hom(:,1,62,sr) = sums(:,62) ! vpt
741	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
742
743	hom(:,1,var_hom-1,sr) = sums(:,var_sum-1)
744	! upstream-parts u_x, u_y, u_z, v_x,
745	! v_y, usw. (in last but one profile)
746	hom(:,1,var_hom,sr) = sums(:,var_sum)
747	! u, w'u', w'v', t (in last profile)
748
749	!
750	!-- Determine the boundary layer height using two different schemes.
751	!-- First scheme: Starting from the Earth's surface, look for the first
752	!-- relative minimum of the total heat flux. The corresponding height is
753	!-- accepted as the boundary layer height, if it is less than 1.5 times the
754	!-- height where the heat flux becomes negative for the first time.
755	!-- NOTE: This criterion is still capable of improving!
756	z_i(1) = 0.0
757	first = .TRUE.
758	DO k = nzb, nzt-1
759	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
760	first = .FALSE.
761	height = zw(k)
762	ENDIF
763	IF ( hom(k,1,18,sr) < 0.0 .AND. &
764	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
765	IF ( zw(k) < 1.5 * height ) THEN
766	z_i(1) = zw(k)
767	ELSE
768	z_i(1) = height
769	ENDIF
770	EXIT
771	ENDIF
772	ENDDO
773
774	!
775	!-- Second scheme: Starting from the top model boundary, look for the first
776	!-- characteristic kink in the temperature profile, where the originally
777	!-- stable stratification notably weakens.
778	z_i(2) = 0.0
779	DO k = nzt-1, nzb+1, -1
780	IF ( ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) > &
781	2.0 * ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) ) THEN
782	z_i(2) = zu(k)
783	EXIT
784	ENDIF
785	ENDDO
786
787	hom(nzb+6,1,var_hom,sr) = z_i(1)
788	hom(nzb+7,1,var_hom,sr) = z_i(2)
789
790	!
791	!-- Computation of both the characteristic vertical velocity and
792	!-- the characteristic convective boundary layer temperature.
793	!-- The horizontal average at nzb+1 is input for the average temperature.
794	IF ( hom(nzb,1,18,sr) > 0.0 .AND. z_i(1) /= 0.0 ) THEN
795	hom(nzb+8,1,var_hom,sr) = ( g / hom(nzb+1,1,4,sr) * &
796	hom(nzb,1,18,sr) * z_i(1) )**0.333333333
797	!-- so far this only works if Prandtl layer is used
798	hom(nzb+11,1,var_hom,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,var_hom,sr)
799	ELSE
800	hom(nzb+8,1,var_hom,sr) = 0.0
801	hom(nzb+11,1,var_hom,sr) = 0.0
802	ENDIF
803
804	!
805	!-- Collect the time series quantities
806	ts_value(1,sr) = hom(nzb+4,1,var_hom,sr) ! E
807	ts_value(2,sr) = hom(nzb+5,1,var_hom,sr) ! E*
808	ts_value(3,sr) = dt_3d
809	ts_value(4,sr) = hom(nzb,1,var_hom,sr) ! u*
810	ts_value(5,sr) = hom(nzb+3,1,var_hom,sr) ! th*
811	ts_value(6,sr) = u_max
812	ts_value(7,sr) = v_max
813	ts_value(8,sr) = w_max
814	ts_value(9,sr) = hom(nzb+10,1,var_sum,sr) ! new divergence
815	ts_value(10,sr) = hom(nzb+9,1,var_hom,sr) ! old Divergence
816	ts_value(11,sr) = hom(nzb+6,1,var_hom,sr) ! z_i(1)
817	ts_value(12,sr) = hom(nzb+7,1,var_hom,sr) ! z_i(2)
818	ts_value(13,sr) = hom(nzb+8,1,var_hom,sr) ! w*
819	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
820	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
821	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
822	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
823	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
824	ts_value(19,sr) = hom(nzb+9,1,var_hom-1,sr) ! splptx
825	ts_value(20,sr) = hom(nzb+10,1,var_hom-1,sr) ! splpty
826	ts_value(21,sr) = hom(nzb+11,1,var_hom-1,sr) ! splptz
827	IF ( ts_value(5,sr) /= 0.0 ) THEN
828	ts_value(22,sr) = ts_value(4,sr)**2 / &
829	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
830	ELSE
831	ts_value(22,sr) = 10000.0
832	ENDIF
833
834	!
835	!-- Calculate additional statistics provided by the user interface
836	CALL user_statistics( sr )
837
838	ENDDO ! loop of the subregions
839
840	!
841	!-- If required, sum up horizontal averages for subsequent time averaging
842	IF ( do_sum ) THEN
843	IF ( average_count_pr == 0 ) hom_sum = 0.0
844	hom_sum = hom_sum + hom(:,1,:,:)
845	average_count_pr = average_count_pr + 1
846	do_sum = .FALSE.
847	ENDIF
848
849	!
850	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
851	!-- This flag is reset after each time step in time_integration.
852	flow_statistics_called = .TRUE.
853
854	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
855
856
857	END SUBROUTINE flow_statistics
858
859
860

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