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flow_statistics.f90 @ 141

Last change on this file since 141 was 139, checked in by raasch, 16 years ago

New:
---

Plant canopy model of Watanabe (2004,BLM 112,307-341) added.
It can be switched on by the inipar parameter plant_canopy.
The inipar parameter canopy_mode can be used to prescribe a
plant canopy type. The default case is a homogeneous plant
canopy. Heterogeneous distributions of the leaf area
density and the canopy drag coefficient can be defined in the
new routine user_init_plant_canopy (user_interface).
The inipar parameters lad_surface, lad_vertical_gradient and
lad_vertical_gradient_level can be used in order to
prescribe the vertical profile of leaf area density. The
inipar parameter drag_coefficient determines the canopy
drag coefficient.
Finally, the inipar parameter pch_index determines the
index of the upper boundary of the plant canopy.

Allow new case bc_uv_t = 'dirichlet_0' for channel flow.

For unknown variables (CASE DEFAULT) call new subroutine user_data_output_dvrp

Pressure boundary conditions for vertical walls added to the multigrid solver.
They are applied using new wall flag arrays (wall_flags_..) which are defined
for each grid level. New argument gls added to routine user_init_grid
(user_interface).

Frequence of sorting particles can be controlled with new particles_par
parameter dt_sort_particles. Sorting is moved from the SGS timestep loop in
advec_particles after the end of this loop.

advec_particles, check_parameters, data_output_dvrp, header, init_3d_model, init_grid, init_particles, init_pegrid, modules, package_parin, parin, plant_canopy_model, read_var_list, read_3d_binary, user_interface, write_var_list, write_3d_binary

Changed:

Redefine initial nzb_local as the actual total size of topography (later the
extent of topography in nzb_local is reduced by 1dx at the E topography walls
and by 1dy at the N topography walls to form the basis for nzb_s_inner);
for consistency redefine 'single_building' case.

Vertical profiles now based on nzb_s_inner; they are divided by
ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered velocity
components and their products, procucts of scalars and velocity components),
respectively.

Allow two instead of one digit to specify isosurface and slicer variables.

Status of 3D-volume NetCDF data file only depends on switch netcdf_64bit_3d (check_open)

prognostic_equations include the respective wall_*flux in the parameter list of
calls of diffusion_s. Same as before, only the values of wall_heatflux(0:4)
can be assigned. At present, wall_humidityflux, wall_qflux, wall_salinityflux,
and wall_scalarflux are kept zero. diffusion_s uses the respective wall_*flux
instead of wall_heatflux. This update serves two purposes:

it avoids errors in calculations with humidity/scalar/salinity and prescribed

non-zero wall_heatflux,

it prepares PALM for a possible assignment of wall fluxes of

humidity/scalar/salinity in a future release.

buoyancy, check_open, data_output_dvrp, diffusion_s, diffusivities, flow_statistics, header, init_3d_model, init_dvrp, init_grid, modules, prognostic_equations

Errors:

Bugfix: summation of sums_l_l in diffusivities.

Several bugfixes in the ocean part: Initial density rho is calculated
(init_ocean). Error in initializing u_init and v_init removed
(check_parameters). Calculation of density flux now starts from
nzb+1 (production_e).

Bugfix: pleft/pright changed to pnorth/psouth in sendrecv of particle tail
numbers along y, small bugfixes in the SGS part (advec_particles)

Bugfix: model_string needed a default value (combine_plot_fields)

Bugfix: wavenumber calculation for even nx in routines maketri (poisfft)

Bugfix: assignment of fluxes at walls

Bugfix: absolute value of f must be used when calculating the Blackadar mixing length (init_1d_model)

advec_particles, check_parameters, combine_plot_fields, diffusion_s, diffusivities, init_ocean, init_1d_model, poisfft, production_e

Property svn:keywords set to Id

File size: 44.3 KB

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

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source: palm/tags/release-3.4a/SOURCE/flow_statistics.f90 @ 141

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