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source: palm/trunk/SOURCE/flow_statistics.f90 @ 4182

Last change on this file since 4182 was 4182, checked in by scharf, 5 years ago
corrected "Former revisions" section minor formatting in "Former revisions" section added "Author" section
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1	!> @file flow_statistics.f90
2	!------------------------------------------------------------------------------!
3	! This file is part of the PALM model system.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the
6	! terms of the GNU General Public License as published by the Free Software
7	! Foundation, either version 3 of the License, or (at your option) any later
8	! version.
9	!
10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
13	!
14	! You should have received a copy of the GNU General Public License along with
15	! PALM. If not, see <http://www.gnu.org/licenses/>.
16	!
17	! Copyright 1997-2019 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! ------------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: flow_statistics.f90 4182 2019-08-22 15:20:23Z scharf $
27	! Corrected "Former revisions" section
28	!
29	! 4131 2019-08-02 11:06:18Z monakurppa
30	! Allow profile output for salsa variables.
31	!
32	! 4039 2019-06-18 10:32:41Z suehring
33	! Correct conversion to kinematic scalar fluxes in case of pw-scheme and
34	! statistic regions
35	!
36	! 3828 2019-03-27 19:36:23Z raasch
37	! unused variables removed
38	!
39	! 3676 2019-01-16 15:07:05Z knoop
40	! Bugfix, terminate OMP Parallel block
41	!
42	! Revision 1.1 1997/08/11 06:15:17 raasch
43	! Initial revision
44	!
45	!
46	! Description:
47	! ------------
48	!> Compute average profiles and further average flow quantities for the different
49	!> user-defined (sub-)regions. The region indexed 0 is the total model domain.
50	!>
51	!> @note For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
52	!> lower vertical index for k-loops for all variables, although strictly
53	!> speaking the k-loops would have to be split up according to the staggered
54	!> grid. However, this implies no error since staggered velocity components
55	!> are zero at the walls and inside buildings.
56	!------------------------------------------------------------------------------!
57	SUBROUTINE flow_statistics
58
59
60	USE arrays_3d, &
61	ONLY: ddzu, ddzw, e, heatflux_output_conversion, hyp, km, kh, &
62	momentumflux_output_conversion, nc, nr, p, prho, prr, pt, q, &
63	qc, ql, qr, rho_air, rho_air_zw, rho_ocean, s, &
64	sa, u, ug, v, vg, vpt, w, w_subs, waterflux_output_conversion, &
65	zw, d_exner
66
67	USE basic_constants_and_equations_mod, &
68	ONLY: g, lv_d_cp
69
70	USE bulk_cloud_model_mod, &
71	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
72
73	USE chem_modules, &
74	ONLY: max_pr_cs
75
76	USE control_parameters, &
77	ONLY: air_chemistry, average_count_pr, cloud_droplets, do_sum, &
78	dt_3d, humidity, initializing_actions, land_surface, &
79	large_scale_forcing, large_scale_subsidence, max_pr_user, &
80	message_string, neutral, ocean_mode, passive_scalar, &
81	simulated_time, simulated_time_at_begin, &
82	use_subsidence_tendencies, use_surface_fluxes, use_top_fluxes, &
83	ws_scheme_mom, ws_scheme_sca, salsa, max_pr_salsa
84
85	USE cpulog, &
86	ONLY: cpu_log, log_point
87
88	USE grid_variables, &
89	ONLY: ddx, ddy
90
91	USE indices, &
92	ONLY: ngp_2dh, ngp_2dh_s_inner, ngp_3d, ngp_3d_inner, ngp_sums, &
93	ngp_sums_ls, nxl, nxr, nyn, nys, nzb, nzt, topo_min_level, &
94	wall_flags_0
95
96	USE kinds
97
98	USE land_surface_model_mod, &
99	ONLY: m_soil_h, nzb_soil, nzt_soil, t_soil_h
100
101	USE lsf_nudging_mod, &
102	ONLY: td_lsa_lpt, td_lsa_q, td_sub_lpt, td_sub_q, time_vert
103
104	USE module_interface, &
105	ONLY: module_interface_statistics
106
107	USE netcdf_interface, &
108	ONLY: dots_rad, dots_soil, dots_max
109
110	USE pegrid
111
112	USE radiation_model_mod, &
113	ONLY: radiation, radiation_scheme, &
114	rad_lw_in, rad_lw_out, rad_lw_cs_hr, rad_lw_hr, &
115	rad_sw_in, rad_sw_out, rad_sw_cs_hr, rad_sw_hr
116
117	USE statistics
118
119	USE surface_mod, &
120	ONLY : surf_def_h, surf_lsm_h, surf_usm_h
121
122
123	IMPLICIT NONE
124
125	INTEGER(iwp) :: i !<
126	INTEGER(iwp) :: j !<
127	INTEGER(iwp) :: k !<
128	INTEGER(iwp) :: ki !<
129	INTEGER(iwp) :: k_surface_level !<
130	INTEGER(iwp) :: m !< loop variable over all horizontal wall elements
131	INTEGER(iwp) :: l !< loop variable over surface facing -- up- or downward-facing
132	INTEGER(iwp) :: nt !<
133	!$ INTEGER(iwp) :: omp_get_thread_num !<
134	INTEGER(iwp) :: sr !<
135	INTEGER(iwp) :: tn !<
136
137	LOGICAL :: first !<
138
139	REAL(wp) :: dptdz_threshold !<
140	REAL(wp) :: fac !<
141	REAL(wp) :: flag !<
142	REAL(wp) :: height !<
143	REAL(wp) :: pts !<
144	REAL(wp) :: sums_l_etot !<
145	REAL(wp) :: ust !<
146	REAL(wp) :: ust2 !<
147	REAL(wp) :: u2 !<
148	REAL(wp) :: vst !<
149	REAL(wp) :: vst2 !<
150	REAL(wp) :: v2 !<
151	REAL(wp) :: w2 !<
152
153	REAL(wp) :: dptdz(nzb+1:nzt+1) !<
154	REAL(wp) :: sums_ll(nzb:nzt+1,2) !<
155
156	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
157
158
159	!
160	!-- To be on the safe side, check whether flow_statistics has already been
161	!-- called once after the current time step
162	IF ( flow_statistics_called ) THEN
163
164	message_string = 'flow_statistics is called two times within one ' // &
165	'timestep'
166	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
167
168	ENDIF
169
170	!
171	!-- Compute statistics for each (sub-)region
172	DO sr = 0, statistic_regions
173
174	!
175	!-- Initialize (local) summation array
176	sums_l = 0.0_wp
177	#ifdef _OPENACC
178	!$ACC KERNELS PRESENT(sums_l)
179	sums_l = 0.0_wp
180	!$ACC END KERNELS
181	#endif
182
183	!
184	!-- Store sums that have been computed in other subroutines in summation
185	!-- array
186	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
187	!-- WARNING: next line still has to be adjusted for OpenMP
188	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) * &
189	heatflux_output_conversion ! heat flux from advec_s_bc
190	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
191	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
192
193	!
194	!-- When calcuating horizontally-averaged total (resolved- plus subgrid-
195	!-- scale) vertical fluxes and velocity variances by using commonly-
196	!-- applied Reynolds-based methods ( e.g. <w'pt'> = (w-<w>)*(pt-<pt>) )
197	!-- in combination with the 5th order advection scheme, pronounced
198	!-- artificial kinks could be observed in the vertical profiles near the
199	!-- surface. Please note: these kinks were not related to the model truth,
200	!-- i.e. these kinks are just related to an evaluation problem.
201	!-- In order avoid these kinks, vertical fluxes and horizontal as well
202	!-- vertical velocity variances are calculated directly within the advection
203	!-- routines, according to the numerical discretization, to evaluate the
204	!-- statistical quantities as they will appear within the prognostic
205	!-- equations.
206	!-- Copy the turbulent quantities, evaluated in the advection routines to
207	!-- the local array sums_l() for further computations.
208	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
209
210	!
211	!-- According to the Neumann bc for the horizontal velocity components,
212	!-- the corresponding fluxes has to satisfiy the same bc.
213	IF ( ocean_mode ) THEN
214	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
215	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
216	ENDIF
217
218	DO i = 0, threads_per_task-1
219	!
220	!-- Swap the turbulent quantities evaluated in advec_ws.
221	sums_l(:,13,i) = sums_wsus_ws_l(:,i) &
222	* momentumflux_output_conversion ! wu
223	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) &
224	* momentumflux_output_conversion ! wv
225	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
226	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
227	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
228	sums_l(:,34,i) = sums_l(:,34,i) + 0.5_wp * &
229	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
230	sums_ws2_ws_l(:,i) ) ! e*
231	ENDDO
232
233	ENDIF
234
235	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
236
237	DO i = 0, threads_per_task-1
238	sums_l(:,17,i) = sums_wspts_ws_l(:,i) &
239	* heatflux_output_conversion ! wpt
240	IF ( ocean_mode ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
241	IF ( humidity ) sums_l(:,49,i) = sums_wsqs_ws_l(:,i) &
242	* waterflux_output_conversion ! wq
243	IF ( passive_scalar ) sums_l(:,114,i) = sums_wsss_ws_l(:,i) ! ws
244	ENDDO
245
246	ENDIF
247	!
248	!-- Horizontally averaged profiles of horizontal velocities and temperature.
249	!-- They must have been computed before, because they are already required
250	!-- for other horizontal averages.
251	tn = 0
252	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
253	!$ tn = omp_get_thread_num()
254	!$OMP DO
255	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag) &
256	!$ACC PRESENT(wall_flags_0, u, v, pt, rmask, sums_l)
257	DO i = nxl, nxr
258	DO j = nys, nyn
259	DO k = nzb, nzt+1
260	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
261	!$ACC ATOMIC
262	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) &
263	* flag
264	!$ACC ATOMIC
265	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) &
266	* flag
267	!$ACC ATOMIC
268	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) &
269	* flag
270	ENDDO
271	ENDDO
272	ENDDO
273	!$ACC UPDATE HOST(sums_l(:,1,tn), sums_l(:,2,tn), sums_l(:,4,tn))
274
275	!
276	!-- Horizontally averaged profile of salinity
277	IF ( ocean_mode ) THEN
278	!$OMP DO
279	DO i = nxl, nxr
280	DO j = nys, nyn
281	DO k = nzb, nzt+1
282	sums_l(k,23,tn) = sums_l(k,23,tn) + sa(k,j,i) &
283	* rmask(j,i,sr) &
284	* MERGE( 1.0_wp, 0.0_wp, &
285	BTEST( wall_flags_0(k,j,i), 22 ) )
286	ENDDO
287	ENDDO
288	ENDDO
289	ENDIF
290
291	!
292	!-- Horizontally averaged profiles of virtual potential temperature,
293	!-- total water content, water vapor mixing ratio and liquid water potential
294	!-- temperature
295	IF ( humidity ) THEN
296	!$OMP DO
297	DO i = nxl, nxr
298	DO j = nys, nyn
299	DO k = nzb, nzt+1
300	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
301	sums_l(k,44,tn) = sums_l(k,44,tn) + &
302	vpt(k,j,i) * rmask(j,i,sr) * flag
303	sums_l(k,41,tn) = sums_l(k,41,tn) + &
304	q(k,j,i) * rmask(j,i,sr) * flag
305	ENDDO
306	ENDDO
307	ENDDO
308	IF ( bulk_cloud_model ) THEN
309	!$OMP DO
310	DO i = nxl, nxr
311	DO j = nys, nyn
312	DO k = nzb, nzt+1
313	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
314	sums_l(k,42,tn) = sums_l(k,42,tn) + &
315	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) &
316	* flag
317	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
318	pt(k,j,i) + lv_d_cp * d_exner(k) * ql(k,j,i) &
319	) * rmask(j,i,sr) &
320	* flag
321	ENDDO
322	ENDDO
323	ENDDO
324	ENDIF
325	ENDIF
326
327	!
328	!-- Horizontally averaged profiles of passive scalar
329	IF ( passive_scalar ) THEN
330	!$OMP DO
331	DO i = nxl, nxr
332	DO j = nys, nyn
333	DO k = nzb, nzt+1
334	sums_l(k,115,tn) = sums_l(k,115,tn) + s(k,j,i) &
335	* rmask(j,i,sr) &
336	* MERGE( 1.0_wp, 0.0_wp, &
337	BTEST( wall_flags_0(k,j,i), 22 ) )
338	ENDDO
339	ENDDO
340	ENDDO
341	ENDIF
342	!$OMP END PARALLEL
343	!
344	!-- Summation of thread sums
345	IF ( threads_per_task > 1 ) THEN
346	DO i = 1, threads_per_task-1
347	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
348	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
349	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
350	IF ( ocean_mode ) THEN
351	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
352	ENDIF
353	IF ( humidity ) THEN
354	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
355	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
356	IF ( bulk_cloud_model ) THEN
357	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
358	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
359	ENDIF
360	ENDIF
361	IF ( passive_scalar ) THEN
362	sums_l(:,115,0) = sums_l(:,115,0) + sums_l(:,115,i)
363	ENDIF
364	ENDDO
365	ENDIF
366
367	#if defined( __parallel )
368	!
369	!-- Compute total sum from local sums
370	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
371	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
372	MPI_SUM, comm2d, ierr )
373	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
374	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
375	MPI_SUM, comm2d, ierr )
376	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
377	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
378	MPI_SUM, comm2d, ierr )
379	IF ( ocean_mode ) THEN
380	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
381	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
382	MPI_REAL, MPI_SUM, comm2d, ierr )
383	ENDIF
384	IF ( humidity ) THEN
385	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
386	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
387	MPI_REAL, MPI_SUM, comm2d, ierr )
388	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
389	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
390	MPI_REAL, MPI_SUM, comm2d, ierr )
391	IF ( bulk_cloud_model ) THEN
392	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
393	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
394	MPI_REAL, MPI_SUM, comm2d, ierr )
395	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
396	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
397	MPI_REAL, MPI_SUM, comm2d, ierr )
398	ENDIF
399	ENDIF
400
401	IF ( passive_scalar ) THEN
402	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
403	CALL MPI_ALLREDUCE( sums_l(nzb,115,0), sums(nzb,115), nzt+2-nzb, &
404	MPI_REAL, MPI_SUM, comm2d, ierr )
405	ENDIF
406	#else
407	sums(:,1) = sums_l(:,1,0)
408	sums(:,2) = sums_l(:,2,0)
409	sums(:,4) = sums_l(:,4,0)
410	IF ( ocean_mode ) sums(:,23) = sums_l(:,23,0)
411	IF ( humidity ) THEN
412	sums(:,44) = sums_l(:,44,0)
413	sums(:,41) = sums_l(:,41,0)
414	IF ( bulk_cloud_model ) THEN
415	sums(:,42) = sums_l(:,42,0)
416	sums(:,43) = sums_l(:,43,0)
417	ENDIF
418	ENDIF
419	IF ( passive_scalar ) sums(:,115) = sums_l(:,115,0)
420	#endif
421
422	!
423	!-- Final values are obtained by division by the total number of grid points
424	!-- used for summation. After that store profiles.
425	sums(:,1) = sums(:,1) / ngp_2dh(sr)
426	sums(:,2) = sums(:,2) / ngp_2dh(sr)
427	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
428	hom(:,1,1,sr) = sums(:,1) ! u
429	hom(:,1,2,sr) = sums(:,2) ! v
430	hom(:,1,4,sr) = sums(:,4) ! pt
431	!$ACC UPDATE DEVICE(hom(:,1,1,sr), hom(:,1,2,sr), hom(:,1,4,sr))
432
433
434	!
435	!-- Salinity
436	IF ( ocean_mode ) THEN
437	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
438	hom(:,1,23,sr) = sums(:,23) ! sa
439	ENDIF
440
441	!
442	!-- Humidity and cloud parameters
443	IF ( humidity ) THEN
444	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
445	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
446	hom(:,1,44,sr) = sums(:,44) ! vpt
447	hom(:,1,41,sr) = sums(:,41) ! qv (q)
448	IF ( bulk_cloud_model ) THEN
449	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
450	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
451	hom(:,1,42,sr) = sums(:,42) ! qv
452	hom(:,1,43,sr) = sums(:,43) ! pt
453	ENDIF
454	ENDIF
455
456	!
457	!-- Passive scalar
458	IF ( passive_scalar ) hom(:,1,115,sr) = sums(:,115) / &
459	ngp_2dh_s_inner(:,sr) ! s
460
461	!
462	!-- Horizontally averaged profiles of the remaining prognostic variables,
463	!-- variances, the total and the perturbation energy (single values in last
464	!-- column of sums_l) and some diagnostic quantities.
465	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
466	!-- ---- speaking the following k-loop would have to be split up and
467	!-- rearranged according to the staggered grid.
468	!-- However, this implies no error since staggered velocity components
469	!-- are zero at the walls and inside buildings.
470	tn = 0
471	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, &
472	!$OMP sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, &
473	!$OMP w2, flag, m, ki, l )
474	!$ tn = omp_get_thread_num()
475	!$OMP DO
476	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, m) &
477	!$ACC PRIVATE(sums_l_etot, flag) &
478	!$ACC PRESENT(wall_flags_0, rmask, momentumflux_output_conversion) &
479	!$ACC PRESENT(hom(:,1,4,sr)) &
480	!$ACC PRESENT(e, u, v, w, km, kh, p, pt) &
481	!$ACC PRESENT(surf_def_h(0), surf_lsm_h, surf_usm_h) &
482	!$ACC PRESENT(sums_l)
483	DO i = nxl, nxr
484	DO j = nys, nyn
485	sums_l_etot = 0.0_wp
486	DO k = nzb, nzt+1
487	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
488	!
489	!-- Prognostic and diagnostic variables
490	!$ACC ATOMIC
491	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) &
492	* flag
493	!$ACC ATOMIC
494	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) &
495	* flag
496	!$ACC ATOMIC
497	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) &
498	* flag
499	!$ACC ATOMIC
500	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) &
501	* flag
502	!$ACC ATOMIC
503	sums_l(k,40,tn) = sums_l(k,40,tn) + ( p(k,j,i) &
504	/ momentumflux_output_conversion(k) ) &
505	* flag
506
507	!$ACC ATOMIC
508	sums_l(k,33,tn) = sums_l(k,33,tn) + &
509	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)&
510	* flag
511	#ifndef _OPENACC
512	IF ( humidity ) THEN
513	sums_l(k,70,tn) = sums_l(k,70,tn) + &
514	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)&
515	* flag
516	ENDIF
517	IF ( passive_scalar ) THEN
518	sums_l(k,116,tn) = sums_l(k,116,tn) + &
519	( s(k,j,i)-hom(k,1,115,sr) )*2 rmask(j,i,sr)&
520	* flag
521	ENDIF
522	#endif
523	!
524	!-- Higher moments
525	!-- (Computation of the skewness of w further below)
526	!$ACC ATOMIC
527	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr) &
528	* flag
529
530	sums_l_etot = sums_l_etot + &
531	0.5_wp * ( u(k,j,i)2 + v(k,j,i)2 + &
532	w(k,j,i)*2 ) rmask(j,i,sr)&
533	* flag
534	ENDDO
535	!
536	!-- Total and perturbation energy for the total domain (being
537	!-- collected in the last column of sums_l). Summation of these
538	!-- quantities is seperated from the previous loop in order to
539	!-- allow vectorization of that loop.
540	!$ACC ATOMIC
541	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
542	!
543	!-- 2D-arrays (being collected in the last column of sums_l)
544	IF ( surf_def_h(0)%end_index(j,i) >= &
545	surf_def_h(0)%start_index(j,i) ) THEN
546	m = surf_def_h(0)%start_index(j,i)
547	!$ACC ATOMIC
548	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
549	surf_def_h(0)%us(m) * rmask(j,i,sr)
550	!$ACC ATOMIC
551	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
552	surf_def_h(0)%usws(m) * rmask(j,i,sr)
553	!$ACC ATOMIC
554	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
555	surf_def_h(0)%vsws(m) * rmask(j,i,sr)
556	!$ACC ATOMIC
557	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
558	surf_def_h(0)%ts(m) * rmask(j,i,sr)
559	#ifndef _OPENACC
560	IF ( humidity ) THEN
561	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
562	surf_def_h(0)%qs(m) * rmask(j,i,sr)
563	ENDIF
564	IF ( passive_scalar ) THEN
565	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
566	surf_def_h(0)%ss(m) * rmask(j,i,sr)
567	ENDIF
568	#endif
569	!
570	!-- Summation of surface temperature.
571	!$ACC ATOMIC
572	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
573	surf_def_h(0)%pt_surface(m) * &
574	rmask(j,i,sr)
575	ENDIF
576	IF ( surf_lsm_h%end_index(j,i) >= surf_lsm_h%start_index(j,i) ) THEN
577	m = surf_lsm_h%start_index(j,i)
578	!$ACC ATOMIC
579	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
580	surf_lsm_h%us(m) * rmask(j,i,sr)
581	!$ACC ATOMIC
582	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
583	surf_lsm_h%usws(m) * rmask(j,i,sr)
584	!$ACC ATOMIC
585	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
586	surf_lsm_h%vsws(m) * rmask(j,i,sr)
587	!$ACC ATOMIC
588	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
589	surf_lsm_h%ts(m) * rmask(j,i,sr)
590	#ifndef _OPENACC
591	IF ( humidity ) THEN
592	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
593	surf_lsm_h%qs(m) * rmask(j,i,sr)
594	ENDIF
595	IF ( passive_scalar ) THEN
596	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
597	surf_lsm_h%ss(m) * rmask(j,i,sr)
598	ENDIF
599	#endif
600	!
601	!-- Summation of surface temperature.
602	!$ACC ATOMIC
603	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
604	surf_lsm_h%pt_surface(m) * &
605	rmask(j,i,sr)
606	ENDIF
607	IF ( surf_usm_h%end_index(j,i) >= surf_usm_h%start_index(j,i) ) THEN
608	m = surf_usm_h%start_index(j,i)
609	!$ACC ATOMIC
610	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
611	surf_usm_h%us(m) * rmask(j,i,sr)
612	!$ACC ATOMIC
613	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
614	surf_usm_h%usws(m) * rmask(j,i,sr)
615	!$ACC ATOMIC
616	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
617	surf_usm_h%vsws(m) * rmask(j,i,sr)
618	!$ACC ATOMIC
619	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
620	surf_usm_h%ts(m) * rmask(j,i,sr)
621	#ifndef _OPENACC
622	IF ( humidity ) THEN
623	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
624	surf_usm_h%qs(m) * rmask(j,i,sr)
625	ENDIF
626	IF ( passive_scalar ) THEN
627	sums_l(nzb+13,pr_palm,tn) = sums_l(nzb+13,pr_palm,tn) + &
628	surf_usm_h%ss(m) * rmask(j,i,sr)
629	ENDIF
630	#endif
631	!
632	!-- Summation of surface temperature.
633	!$ACC ATOMIC
634	sums_l(nzb+14,pr_palm,tn) = sums_l(nzb+14,pr_palm,tn) + &
635	surf_usm_h%pt_surface(m) * &
636	rmask(j,i,sr)
637	ENDIF
638	ENDDO
639	ENDDO
640	!$ACC UPDATE &
641	!$ACC HOST(sums_l(:,3,tn), sums_l(:,8,tn), sums_l(:,9,tn)) &
642	!$ACC HOST(sums_l(:,10,tn), sums_l(:,40,tn), sums_l(:,33,tn)) &
643	!$ACC HOST(sums_l(:,38,tn)) &
644	!$ACC HOST(sums_l(nzb:nzb+4,pr_palm,tn), sums_l(nzb+14:nzb+14,pr_palm,tn))
645
646	!
647	!-- Computation of statistics when ws-scheme is not used. Else these
648	!-- quantities are evaluated in the advection routines.
649	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 .OR. simulated_time == 0.0_wp ) &
650	THEN
651	!$OMP DO
652	DO i = nxl, nxr
653	DO j = nys, nyn
654	DO k = nzb, nzt+1
655	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
656
657	u2 = u(k,j,i)**2
658	v2 = v(k,j,i)**2
659	w2 = w(k,j,i)**2
660	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
661	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
662
663	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) &
664	* flag
665	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) &
666	* flag
667	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) &
668	* flag
669	!
670	!-- Perturbation energy
671
672	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5_wp * &
673	( ust2 + vst2 + w2 ) * rmask(j,i,sr) &
674	* flag
675	ENDDO
676	ENDDO
677	ENDDO
678	ENDIF
679	!
680	!-- Computaion of domain-averaged perturbation energy. Please note,
681	!-- to prevent that perturbation energy is larger (even if only slightly)
682	!-- than the total kinetic energy, calculation is based on deviations from
683	!-- the horizontal mean, instead of spatial descretization of the advection
684	!-- term.
685	!$OMP DO
686	!$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k, flag, w2, ust2, vst2) &
687	!$ACC PRESENT(wall_flags_0, u, v, w, rmask, hom(:,1,1:2,sr)) &
688	!$ACC PRESENT(sums_l)
689	DO i = nxl, nxr
690	DO j = nys, nyn
691	DO k = nzb, nzt+1
692	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
693
694	w2 = w(k,j,i)**2
695	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
696	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
697	w2 = w(k,j,i)**2
698
699	!$ACC ATOMIC
700	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
701	+ 0.5_wp * ( ust2 + vst2 + w2 ) &
702	* rmask(j,i,sr) &
703	* flag
704	ENDDO
705	ENDDO
706	ENDDO
707	!$ACC UPDATE HOST(sums_l(nzb+5:nzb+5,pr_palm,tn))
708
709	!
710	!-- Horizontally averaged profiles of the vertical fluxes
711
712	!$OMP DO
713	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) &
714	!$ACC PRIVATE(ki, flag, ust, vst, pts) &
715	!$ACC PRESENT(kh, km, u, v, w, pt) &
716	!$ACC PRESENT(wall_flags_0, rmask, ddzu, rho_air_zw, hom(:,1,1:4,sr)) &
717	!$ACC PRESENT(heatflux_output_conversion, momentumflux_output_conversion) &
718	!$ACC PRESENT(surf_def_h(0:2), surf_lsm_h, surf_usm_h) &
719	!$ACC PRESENT(sums_l)
720	DO i = nxl, nxr
721	DO j = nys, nyn
722	!
723	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
724	!-- oterwise from k=nzb+1)
725	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
726	!-- ---- strictly speaking the following k-loop would have to be
727	!-- split up according to the staggered grid.
728	!-- However, this implies no error since staggered velocity
729	!-- components are zero at the walls and inside buildings.
730	!-- Flag 23 is used to mask surface fluxes as well as model-top fluxes,
731	!-- which are added further below.
732	DO k = nzb, nzt
733	flag = MERGE( 1.0_wp, 0.0_wp, &
734	BTEST( wall_flags_0(k,j,i), 23 ) ) * &
735	MERGE( 1.0_wp, 0.0_wp, &
736	BTEST( wall_flags_0(k,j,i), 9 ) )
737	!
738	!-- Momentum flux w"u"
739	!$ACC ATOMIC
740	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25_wp * ( &
741	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
742	) * ( &
743	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
744	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
745	) * rmask(j,i,sr) &
746	* rho_air_zw(k) &
747	* momentumflux_output_conversion(k) &
748	* flag
749	!
750	!-- Momentum flux w"v"
751	!$ACC ATOMIC
752	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25_wp * ( &
753	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
754	) * ( &
755	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
756	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
757	) * rmask(j,i,sr) &
758	* rho_air_zw(k) &
759	* momentumflux_output_conversion(k) &
760	* flag
761	!
762	!-- Heat flux w"pt"
763	!$ACC ATOMIC
764	sums_l(k,16,tn) = sums_l(k,16,tn) &
765	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
766	* ( pt(k+1,j,i) - pt(k,j,i) ) &
767	* rho_air_zw(k) &
768	* heatflux_output_conversion(k) &
769	* ddzu(k+1) * rmask(j,i,sr) &
770	* flag
771
772	!
773	!-- Salinity flux w"sa"
774	#ifndef _OPENACC
775	IF ( ocean_mode ) THEN
776	sums_l(k,65,tn) = sums_l(k,65,tn) &
777	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
778	* ( sa(k+1,j,i) - sa(k,j,i) ) &
779	* ddzu(k+1) * rmask(j,i,sr) &
780	* flag
781	ENDIF
782
783	!
784	!-- Buoyancy flux, water flux (humidity flux) w"q"
785	IF ( humidity ) THEN
786	sums_l(k,45,tn) = sums_l(k,45,tn) &
787	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
788	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
789	* rho_air_zw(k) &
790	* heatflux_output_conversion(k) &
791	* ddzu(k+1) * rmask(j,i,sr) * flag
792	sums_l(k,48,tn) = sums_l(k,48,tn) &
793	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
794	* ( q(k+1,j,i) - q(k,j,i) ) &
795	* rho_air_zw(k) &
796	* waterflux_output_conversion(k)&
797	* ddzu(k+1) * rmask(j,i,sr) * flag
798
799	IF ( bulk_cloud_model ) THEN
800	sums_l(k,51,tn) = sums_l(k,51,tn) &
801	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
802	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
803	- ( q(k,j,i) - ql(k,j,i) ) ) &
804	* rho_air_zw(k) &
805	* waterflux_output_conversion(k)&
806	* ddzu(k+1) * rmask(j,i,sr) * flag
807	ENDIF
808	ENDIF
809
810	!
811	!-- Passive scalar flux
812	IF ( passive_scalar ) THEN
813	sums_l(k,117,tn) = sums_l(k,117,tn) &
814	- 0.5_wp * ( kh(k,j,i) + kh(k+1,j,i) )&
815	* ( s(k+1,j,i) - s(k,j,i) ) &
816	* ddzu(k+1) * rmask(j,i,sr) &
817	* flag
818	ENDIF
819	#endif
820
821	ENDDO
822
823	!
824	!-- Subgridscale fluxes in the Prandtl layer
825	IF ( use_surface_fluxes ) THEN
826	DO l = 0, 1
827	! The original code using MERGE doesn't work with the PGI
828	! compiler when running on the GPU.
829	! This is submitted as a compiler Bug in PGI ticket TPR#26718
830	! ki = MERGE( -1, 0, l == 0 )
831	ki = -1 + l
832	IF ( surf_def_h(l)%ns >= 1 ) THEN
833	DO m = surf_def_h(l)%start_index(j,i), &
834	surf_def_h(l)%end_index(j,i)
835	k = surf_def_h(l)%k(m)
836
837	!$ACC ATOMIC
838	sums_l(k+ki,12,tn) = sums_l(k+ki,12,tn) + &
839	momentumflux_output_conversion(k+ki) * &
840	surf_def_h(l)%usws(m) * rmask(j,i,sr) ! w"u"
841	!$ACC ATOMIC
842	sums_l(k+ki,14,tn) = sums_l(k+ki,14,tn) + &
843	momentumflux_output_conversion(k+ki) * &
844	surf_def_h(l)%vsws(m) * rmask(j,i,sr) ! w"v"
845	!$ACC ATOMIC
846	sums_l(k+ki,16,tn) = sums_l(k+ki,16,tn) + &
847	heatflux_output_conversion(k+ki) * &
848	surf_def_h(l)%shf(m) * rmask(j,i,sr) ! w"pt"
849	#if 0
850	sums_l(k+ki,58,tn) = sums_l(k+ki,58,tn) + &
851	0.0_wp * rmask(j,i,sr) ! u"pt"
852	sums_l(k+ki,61,tn) = sums_l(k+ki,61,tn) + &
853	0.0_wp * rmask(j,i,sr) ! v"pt"
854	#endif
855	#ifndef _OPENACC
856	IF ( ocean_mode ) THEN
857	sums_l(k+ki,65,tn) = sums_l(k+ki,65,tn) + &
858	surf_def_h(l)%sasws(m) * rmask(j,i,sr) ! w"sa"
859	ENDIF
860	IF ( humidity ) THEN
861	sums_l(k+ki,48,tn) = sums_l(k+ki,48,tn) + &
862	waterflux_output_conversion(k+ki) * &
863	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
864	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
865	( 1.0_wp + 0.61_wp * q(k+ki,j,i) ) * &
866	surf_def_h(l)%shf(m) + 0.61_wp * pt(k+ki,j,i) * &
867	surf_def_h(l)%qsws(m) ) &
868	* heatflux_output_conversion(k+ki)
869	IF ( cloud_droplets ) THEN
870	sums_l(k+ki,45,tn) = sums_l(k+ki,45,tn) + ( &
871	( 1.0_wp + 0.61_wp * q(k+ki,j,i) - &
872	ql(k+ki,j,i) ) * surf_def_h(l)%shf(m) + &
873	0.61_wp * pt(k+ki,j,i) * surf_def_h(l)%qsws(m) ) &
874	* heatflux_output_conversion(k+ki)
875	ENDIF
876	IF ( bulk_cloud_model ) THEN
877	!
878	!-- Formula does not work if ql(k+ki) /= 0.0
879	sums_l(k+ki,51,tn) = sums_l(k+ki,51,tn) + &
880	waterflux_output_conversion(k+ki) * &
881	surf_def_h(l)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
882	ENDIF
883	ENDIF
884	IF ( passive_scalar ) THEN
885	sums_l(k+ki,117,tn) = sums_l(k+ki,117,tn) + &
886	surf_def_h(l)%ssws(m) * rmask(j,i,sr) ! w"s"
887	ENDIF
888	#endif
889
890	ENDDO
891
892	ENDIF
893	ENDDO
894	IF ( surf_lsm_h%end_index(j,i) >= &
895	surf_lsm_h%start_index(j,i) ) THEN
896	m = surf_lsm_h%start_index(j,i)
897	!$ACC ATOMIC
898	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
899	momentumflux_output_conversion(nzb) * &
900	surf_lsm_h%usws(m) * rmask(j,i,sr) ! w"u"
901	!$ACC ATOMIC
902	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
903	momentumflux_output_conversion(nzb) * &
904	surf_lsm_h%vsws(m) * rmask(j,i,sr) ! w"v"
905	!$ACC ATOMIC
906	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
907	heatflux_output_conversion(nzb) * &
908	surf_lsm_h%shf(m) * rmask(j,i,sr) ! w"pt"
909	#if 0
910	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
911	0.0_wp * rmask(j,i,sr) ! u"pt"
912	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
913	0.0_wp * rmask(j,i,sr) ! v"pt"
914	#endif
915	#ifndef _OPENACC
916	IF ( ocean_mode ) THEN
917	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
918	surf_lsm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
919	ENDIF
920	IF ( humidity ) THEN
921	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
922	waterflux_output_conversion(nzb) * &
923	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
924	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
925	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
926	surf_lsm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
927	surf_lsm_h%qsws(m) ) &
928	* heatflux_output_conversion(nzb)
929	IF ( cloud_droplets ) THEN
930	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
931	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
932	ql(nzb,j,i) ) * surf_lsm_h%shf(m) + &
933	0.61_wp * pt(nzb,j,i) * surf_lsm_h%qsws(m) ) &
934	* heatflux_output_conversion(nzb)
935	ENDIF
936	IF ( bulk_cloud_model ) THEN
937	!
938	!-- Formula does not work if ql(nzb) /= 0.0
939	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
940	waterflux_output_conversion(nzb) * &
941	surf_lsm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
942	ENDIF
943	ENDIF
944	IF ( passive_scalar ) THEN
945	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
946	surf_lsm_h%ssws(m) * rmask(j,i,sr) ! w"s"
947	ENDIF
948	#endif
949
950	ENDIF
951	IF ( surf_usm_h%end_index(j,i) >= &
952	surf_usm_h%start_index(j,i) ) THEN
953	m = surf_usm_h%start_index(j,i)
954	!$ACC ATOMIC
955	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
956	momentumflux_output_conversion(nzb) * &
957	surf_usm_h%usws(m) * rmask(j,i,sr) ! w"u"
958	!$ACC ATOMIC
959	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
960	momentumflux_output_conversion(nzb) * &
961	surf_usm_h%vsws(m) * rmask(j,i,sr) ! w"v"
962	!$ACC ATOMIC
963	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
964	heatflux_output_conversion(nzb) * &
965	surf_usm_h%shf(m) * rmask(j,i,sr) ! w"pt"
966	#if 0
967	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
968	0.0_wp * rmask(j,i,sr) ! u"pt"
969	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
970	0.0_wp * rmask(j,i,sr) ! v"pt"
971	#endif
972	#ifndef _OPENACC
973	IF ( ocean_mode ) THEN
974	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
975	surf_usm_h%sasws(m) * rmask(j,i,sr) ! w"sa"
976	ENDIF
977	IF ( humidity ) THEN
978	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
979	waterflux_output_conversion(nzb) * &
980	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
981	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
982	( 1.0_wp + 0.61_wp * q(nzb,j,i) ) * &
983	surf_usm_h%shf(m) + 0.61_wp * pt(nzb,j,i) * &
984	surf_usm_h%qsws(m) ) &
985	* heatflux_output_conversion(nzb)
986	IF ( cloud_droplets ) THEN
987	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
988	( 1.0_wp + 0.61_wp * q(nzb,j,i) - &
989	ql(nzb,j,i) ) * surf_usm_h%shf(m) + &
990	0.61_wp * pt(nzb,j,i) * surf_usm_h%qsws(m) ) &
991	* heatflux_output_conversion(nzb)
992	ENDIF
993	IF ( bulk_cloud_model ) THEN
994	!
995	!-- Formula does not work if ql(nzb) /= 0.0
996	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + &
997	waterflux_output_conversion(nzb) * &
998	surf_usm_h%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
999	ENDIF
1000	ENDIF
1001	IF ( passive_scalar ) THEN
1002	sums_l(nzb,117,tn) = sums_l(nzb,117,tn) + &
1003	surf_usm_h%ssws(m) * rmask(j,i,sr) ! w"s"
1004	ENDIF
1005	#endif
1006
1007	ENDIF
1008
1009	ENDIF
1010
1011	#ifndef _OPENACC
1012	IF ( .NOT. neutral ) THEN
1013	IF ( surf_def_h(0)%end_index(j,i) >= &
1014	surf_def_h(0)%start_index(j,i) ) THEN
1015	m = surf_def_h(0)%start_index(j,i)
1016	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1017	surf_def_h(0)%ol(m) * rmask(j,i,sr) ! L
1018	ENDIF
1019	IF ( surf_lsm_h%end_index(j,i) >= &
1020	surf_lsm_h%start_index(j,i) ) THEN
1021	m = surf_lsm_h%start_index(j,i)
1022	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1023	surf_lsm_h%ol(m) * rmask(j,i,sr) ! L
1024	ENDIF
1025	IF ( surf_usm_h%end_index(j,i) >= &
1026	surf_usm_h%start_index(j,i) ) THEN
1027	m = surf_usm_h%start_index(j,i)
1028	sums_l(nzb,112,tn) = sums_l(nzb,112,tn) + &
1029	surf_usm_h%ol(m) * rmask(j,i,sr) ! L
1030	ENDIF
1031	ENDIF
1032
1033	IF ( radiation ) THEN
1034	IF ( surf_def_h(0)%end_index(j,i) >= &
1035	surf_def_h(0)%start_index(j,i) ) THEN
1036	m = surf_def_h(0)%start_index(j,i)
1037	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1038	surf_def_h(0)%rad_net(m) * rmask(j,i,sr)
1039	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1040	surf_def_h(0)%rad_lw_in(m) * rmask(j,i,sr)
1041	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1042	surf_def_h(0)%rad_lw_out(m) * rmask(j,i,sr)
1043	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1044	surf_def_h(0)%rad_sw_in(m) * rmask(j,i,sr)
1045	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1046	surf_def_h(0)%rad_sw_out(m) * rmask(j,i,sr)
1047	ENDIF
1048	IF ( surf_lsm_h%end_index(j,i) >= &
1049	surf_lsm_h%start_index(j,i) ) THEN
1050	m = surf_lsm_h%start_index(j,i)
1051	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1052	surf_lsm_h%rad_net(m) * rmask(j,i,sr)
1053	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1054	surf_lsm_h%rad_lw_in(m) * rmask(j,i,sr)
1055	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1056	surf_lsm_h%rad_lw_out(m) * rmask(j,i,sr)
1057	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1058	surf_lsm_h%rad_sw_in(m) * rmask(j,i,sr)
1059	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1060	surf_lsm_h%rad_sw_out(m) * rmask(j,i,sr)
1061	ENDIF
1062	IF ( surf_usm_h%end_index(j,i) >= &
1063	surf_usm_h%start_index(j,i) ) THEN
1064	m = surf_usm_h%start_index(j,i)
1065	sums_l(nzb,99,tn) = sums_l(nzb,99,tn) + &
1066	surf_usm_h%rad_net(m) * rmask(j,i,sr)
1067	sums_l(nzb,100,tn) = sums_l(nzb,100,tn) + &
1068	surf_usm_h%rad_lw_in(m) * rmask(j,i,sr)
1069	sums_l(nzb,101,tn) = sums_l(nzb,101,tn) + &
1070	surf_usm_h%rad_lw_out(m) * rmask(j,i,sr)
1071	sums_l(nzb,102,tn) = sums_l(nzb,102,tn) + &
1072	surf_usm_h%rad_sw_in(m) * rmask(j,i,sr)
1073	sums_l(nzb,103,tn) = sums_l(nzb,103,tn) + &
1074	surf_usm_h%rad_sw_out(m) * rmask(j,i,sr)
1075	ENDIF
1076
1077	#if defined ( __rrtmg )
1078	IF ( radiation_scheme == 'rrtmg' ) THEN
1079
1080	IF ( surf_def_h(0)%end_index(j,i) >= &
1081	surf_def_h(0)%start_index(j,i) ) THEN
1082	m = surf_def_h(0)%start_index(j,i)
1083	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1084	surf_def_h(0)%rrtm_aldif(0,m) * rmask(j,i,sr)
1085	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1086	surf_def_h(0)%rrtm_aldir(0,m) * rmask(j,i,sr)
1087	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1088	surf_def_h(0)%rrtm_asdif(0,m) * rmask(j,i,sr)
1089	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1090	surf_def_h(0)%rrtm_asdir(0,m) * rmask(j,i,sr)
1091	ENDIF
1092	IF ( surf_lsm_h%end_index(j,i) >= &
1093	surf_lsm_h%start_index(j,i) ) THEN
1094	m = surf_lsm_h%start_index(j,i)
1095	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1096	SUM( surf_lsm_h%frac(:,m) * &
1097	surf_lsm_h%rrtm_aldif(:,m) ) * rmask(j,i,sr)
1098	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1099	SUM( surf_lsm_h%frac(:,m) * &
1100	surf_lsm_h%rrtm_aldir(:,m) ) * rmask(j,i,sr)
1101	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1102	SUM( surf_lsm_h%frac(:,m) * &
1103	surf_lsm_h%rrtm_asdif(:,m) ) * rmask(j,i,sr)
1104	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1105	SUM( surf_lsm_h%frac(:,m) * &
1106	surf_lsm_h%rrtm_asdir(:,m) ) * rmask(j,i,sr)
1107	ENDIF
1108	IF ( surf_usm_h%end_index(j,i) >= &
1109	surf_usm_h%start_index(j,i) ) THEN
1110	m = surf_usm_h%start_index(j,i)
1111	sums_l(nzb,108,tn) = sums_l(nzb,108,tn) + &
1112	SUM( surf_usm_h%frac(:,m) * &
1113	surf_usm_h%rrtm_aldif(:,m) ) * rmask(j,i,sr)
1114	sums_l(nzb,109,tn) = sums_l(nzb,109,tn) + &
1115	SUM( surf_usm_h%frac(:,m) * &
1116	surf_usm_h%rrtm_aldir(:,m) ) * rmask(j,i,sr)
1117	sums_l(nzb,110,tn) = sums_l(nzb,110,tn) + &
1118	SUM( surf_usm_h%frac(:,m) * &
1119	surf_usm_h%rrtm_asdif(:,m) ) * rmask(j,i,sr)
1120	sums_l(nzb,111,tn) = sums_l(nzb,111,tn) + &
1121	SUM( surf_usm_h%frac(:,m) * &
1122	surf_usm_h%rrtm_asdir(:,m) ) * rmask(j,i,sr)
1123	ENDIF
1124
1125	ENDIF
1126	#endif
1127	ENDIF
1128	#endif
1129	!
1130	!-- Subgridscale fluxes at the top surface
1131	IF ( use_top_fluxes ) THEN
1132	m = surf_def_h(2)%start_index(j,i)
1133	!$ACC ATOMIC
1134	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
1135	momentumflux_output_conversion(nzt) * &
1136	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1137	!$ACC ATOMIC
1138	sums_l(nzt+1,12,tn) = sums_l(nzt+1,12,tn) + &
1139	momentumflux_output_conversion(nzt+1) * &
1140	surf_def_h(2)%usws(m) * rmask(j,i,sr) ! w"u"
1141	!$ACC ATOMIC
1142	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
1143	momentumflux_output_conversion(nzt) * &
1144	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1145	!$ACC ATOMIC
1146	sums_l(nzt+1,14,tn) = sums_l(nzt+1,14,tn) + &
1147	momentumflux_output_conversion(nzt+1) * &
1148	surf_def_h(2)%vsws(m) * rmask(j,i,sr) ! w"v"
1149	!$ACC ATOMIC
1150	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
1151	heatflux_output_conversion(nzt) * &
1152	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1153	!$ACC ATOMIC
1154	sums_l(nzt+1,16,tn) = sums_l(nzt+1,16,tn) + &
1155	heatflux_output_conversion(nzt+1) * &
1156	surf_def_h(2)%shf(m) * rmask(j,i,sr) ! w"pt"
1157	#if 0
1158	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
1159	0.0_wp * rmask(j,i,sr) ! u"pt"
1160	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
1161	0.0_wp * rmask(j,i,sr) ! v"pt"
1162	#endif
1163	#ifndef _OPENACC
1164	IF ( ocean_mode ) THEN
1165	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
1166	surf_def_h(2)%sasws(m) * rmask(j,i,sr) ! w"sa"
1167	ENDIF
1168	IF ( humidity ) THEN
1169	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
1170	waterflux_output_conversion(nzt) * &
1171	surf_def_h(2)%qsws(m) * rmask(j,i,sr) ! w"q" (w"qv")
1172	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1173	( 1.0_wp + 0.61_wp * q(nzt,j,i) ) * &
1174	surf_def_h(2)%shf(m) + &
1175	0.61_wp * pt(nzt,j,i) * &
1176	surf_def_h(2)%qsws(m) ) &
1177	* heatflux_output_conversion(nzt)
1178	IF ( cloud_droplets ) THEN
1179	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
1180	( 1.0_wp + 0.61_wp * q(nzt,j,i) - &
1181	ql(nzt,j,i) ) * &
1182	surf_def_h(2)%shf(m) + &
1183	0.61_wp * pt(nzt,j,i) * &
1184	surf_def_h(2)%qsws(m) )&
1185	* heatflux_output_conversion(nzt)
1186	ENDIF
1187	IF ( bulk_cloud_model ) THEN
1188	!
1189	!-- Formula does not work if ql(nzb) /= 0.0
1190	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
1191	waterflux_output_conversion(nzt) * &
1192	surf_def_h(2)%qsws(m) * rmask(j,i,sr)
1193	ENDIF
1194	ENDIF
1195	IF ( passive_scalar ) THEN
1196	sums_l(nzt,117,tn) = sums_l(nzt,117,tn) + &
1197	surf_def_h(2)%ssws(m) * rmask(j,i,sr) ! w"s"
1198	ENDIF
1199	#endif
1200	ENDIF
1201
1202	!
1203	!-- Resolved fluxes (can be computed for all horizontal points)
1204	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
1205	!-- ---- speaking the following k-loop would have to be split up and
1206	!-- rearranged according to the staggered grid.
1207	DO k = nzb, nzt
1208	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 22 ) )
1209	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1210	u(k+1,j,i) - hom(k+1,1,1,sr) )
1211	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1212	v(k+1,j,i) - hom(k+1,1,2,sr) )
1213	pts = 0.5_wp * ( pt(k,j,i) - hom(k,1,4,sr) + &
1214	pt(k+1,j,i) - hom(k+1,1,4,sr) )
1215
1216	!-- Higher moments
1217	!$ACC ATOMIC
1218	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
1219	rmask(j,i,sr) * flag
1220	!$ACC ATOMIC
1221	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
1222	rmask(j,i,sr) * flag
1223
1224	!
1225	!-- Salinity flux and density (density does not belong to here,
1226	!-- but so far there is no other suitable place to calculate)
1227	#ifndef _OPENACC
1228	IF ( ocean_mode ) THEN
1229	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1230	pts = 0.5_wp * ( sa(k,j,i) - hom(k,1,23,sr) + &
1231	sa(k+1,j,i) - hom(k+1,1,23,sr) )
1232	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
1233	rmask(j,i,sr) * flag
1234	ENDIF
1235	sums_l(k,64,tn) = sums_l(k,64,tn) + rho_ocean(k,j,i) * &
1236	rmask(j,i,sr) * flag
1237	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
1238	rmask(j,i,sr) * flag
1239	ENDIF
1240
1241	!
1242	!-- Buoyancy flux, water flux, humidity flux, liquid water
1243	!-- content, rain drop concentration and rain water content
1244	IF ( humidity ) THEN
1245	IF ( bulk_cloud_model .OR. cloud_droplets ) THEN
1246	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1247	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1248	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1249	rho_air_zw(k) * &
1250	heatflux_output_conversion(k) * &
1251	rmask(j,i,sr) * flag
1252	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * rmask(j,i,sr) &
1253	* flag
1254
1255	IF ( .NOT. cloud_droplets ) THEN
1256	pts = 0.5_wp * &
1257	( ( q(k,j,i) - ql(k,j,i) ) - &
1258	hom(k,1,42,sr) + &
1259	( q(k+1,j,i) - ql(k+1,j,i) ) - &
1260	hom(k+1,1,42,sr) )
1261	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
1262	rho_air_zw(k) * &
1263	waterflux_output_conversion(k) * &
1264	rmask(j,i,sr) * &
1265	flag
1266	sums_l(k,75,tn) = sums_l(k,75,tn) + qc(k,j,i) * &
1267	rmask(j,i,sr) * &
1268	flag
1269	sums_l(k,76,tn) = sums_l(k,76,tn) + prr(k,j,i) * &
1270	rmask(j,i,sr) * &
1271	flag
1272	IF ( microphysics_morrison ) THEN
1273	sums_l(k,123,tn) = sums_l(k,123,tn) + nc(k,j,i) * &
1274	rmask(j,i,sr) *&
1275	flag
1276	ENDIF
1277	IF ( microphysics_seifert ) THEN
1278	sums_l(k,73,tn) = sums_l(k,73,tn) + nr(k,j,i) * &
1279	rmask(j,i,sr) *&
1280	flag
1281	sums_l(k,74,tn) = sums_l(k,74,tn) + qr(k,j,i) * &
1282	rmask(j,i,sr) *&
1283	flag
1284	ENDIF
1285	ENDIF
1286
1287	ELSE
1288	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1289	pts = 0.5_wp * ( vpt(k,j,i) - hom(k,1,44,sr) + &
1290	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
1291	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
1292	rho_air_zw(k) * &
1293	heatflux_output_conversion(k) * &
1294	rmask(j,i,sr) * &
1295	flag
1296	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
1297	sums_l(k,46,tn) = ( ( 1.0_wp + 0.61_wp * &
1298	hom(k,1,41,sr) ) * &
1299	sums_l(k,17,tn) + &
1300	0.61_wp * hom(k,1,4,sr) * &
1301	sums_l(k,49,tn) &
1302	) * heatflux_output_conversion(k) * &
1303	flag
1304	END IF
1305	END IF
1306	ENDIF
1307	!
1308	!-- Passive scalar flux
1309	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
1310	.OR. sr /= 0 ) ) THEN
1311	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1312	s(k+1,j,i) - hom(k+1,1,115,sr) )
1313	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1314	rmask(j,i,sr) * flag
1315	ENDIF
1316	#endif
1317
1318	!
1319	!-- Energy flux we
1320	!-- has to be adjusted
1321	!$ACC ATOMIC
1322	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5_wp * &
1323	( ust2 + vst2 + w(k,j,i)**2 ) &
1324	* rho_air_zw(k) &
1325	* momentumflux_output_conversion(k) &
1326	* rmask(j,i,sr) * flag
1327	ENDDO
1328	ENDDO
1329	ENDDO
1330	!$OMP END PARALLEL
1331
1332	!$ACC UPDATE &
1333	!$ACC HOST(sums_l(:,12,tn), sums_l(:,14,tn), sums_l(:,16,tn)) &
1334	!$ACC HOST(sums_l(:,35,tn), sums_l(:,36,tn), sums_l(:,37,tn))
1335	!
1336	!-- Treat land-surface quantities according to new wall model structure.
1337	IF ( land_surface ) THEN
1338	tn = 0
1339	!$OMP PARALLEL PRIVATE( i, j, m, tn )
1340	!$ tn = omp_get_thread_num()
1341	!$OMP DO
1342	DO m = 1, surf_lsm_h%ns
1343	i = surf_lsm_h%i(m)
1344	j = surf_lsm_h%j(m)
1345
1346	IF ( i >= nxl .AND. i <= nxr .AND. &
1347	j >= nys .AND. j <= nyn ) THEN
1348	sums_l(nzb,93,tn) = sums_l(nzb,93,tn) + surf_lsm_h%ghf(m)
1349	sums_l(nzb,94,tn) = sums_l(nzb,94,tn) + surf_lsm_h%qsws_liq(m)
1350	sums_l(nzb,95,tn) = sums_l(nzb,95,tn) + surf_lsm_h%qsws_soil(m)
1351	sums_l(nzb,96,tn) = sums_l(nzb,96,tn) + surf_lsm_h%qsws_veg(m)
1352	sums_l(nzb,97,tn) = sums_l(nzb,97,tn) + surf_lsm_h%r_a(m)
1353	sums_l(nzb,98,tn) = sums_l(nzb,98,tn)+ surf_lsm_h%r_s(m)
1354	ENDIF
1355	ENDDO
1356	!$OMP END PARALLEL
1357
1358	tn = 0
1359	!$OMP PARALLEL PRIVATE( i, j, k, m, tn )
1360	!$ tn = omp_get_thread_num()
1361	!$OMP DO
1362	DO m = 1, surf_lsm_h%ns
1363
1364	i = surf_lsm_h%i(m)
1365	j = surf_lsm_h%j(m)
1366
1367	IF ( i >= nxl .AND. i <= nxr .AND. &
1368	j >= nys .AND. j <= nyn ) THEN
1369
1370	DO k = nzb_soil, nzt_soil
1371	sums_l(k,89,tn) = sums_l(k,89,tn) + t_soil_h%var_2d(k,m) &
1372	* rmask(j,i,sr)
1373	sums_l(k,91,tn) = sums_l(k,91,tn) + m_soil_h%var_2d(k,m) &
1374	* rmask(j,i,sr)
1375	ENDDO
1376	ENDIF
1377	ENDDO
1378	!$OMP END PARALLEL
1379	ENDIF
1380	!
1381	!-- For speed optimization fluxes which have been computed in part directly
1382	!-- inside the WS advection routines are treated seperatly
1383	!-- Momentum fluxes first:
1384
1385	tn = 0
1386	!$OMP PARALLEL PRIVATE( i, j, k, tn, flag )
1387	!$ tn = omp_get_thread_num()
1388	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
1389	!$OMP DO
1390	DO i = nxl, nxr
1391	DO j = nys, nyn
1392	DO k = nzb, nzt
1393	!
1394	!-- Flag 23 is used to mask surface fluxes as well as model-top
1395	!-- fluxes, which are added further below.
1396	flag = MERGE( 1.0_wp, 0.0_wp, &
1397	BTEST( wall_flags_0(k,j,i), 23 ) ) * &
1398	MERGE( 1.0_wp, 0.0_wp, &
1399	BTEST( wall_flags_0(k,j,i), 9 ) )
1400
1401	ust = 0.5_wp * ( u(k,j,i) - hom(k,1,1,sr) + &
1402	u(k+1,j,i) - hom(k+1,1,1,sr) )
1403	vst = 0.5_wp * ( v(k,j,i) - hom(k,1,2,sr) + &
1404	v(k+1,j,i) - hom(k+1,1,2,sr) )
1405	!
1406	!-- Momentum flux wu
1407	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5_wp * &
1408	( w(k,j,i-1) + w(k,j,i) ) &
1409	* rho_air_zw(k) &
1410	* momentumflux_output_conversion(k) &
1411	* ust * rmask(j,i,sr) &
1412	* flag
1413	!
1414	!-- Momentum flux wv
1415	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5_wp * &
1416	( w(k,j-1,i) + w(k,j,i) ) &
1417	* rho_air_zw(k) &
1418	* momentumflux_output_conversion(k) &
1419	* vst * rmask(j,i,sr) &
1420	* flag
1421	ENDDO
1422	ENDDO
1423	ENDDO
1424
1425	ENDIF
1426	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
1427	!$OMP DO
1428	DO i = nxl, nxr
1429	DO j = nys, nyn
1430	DO k = nzb, nzt
1431	flag = MERGE( 1.0_wp, 0.0_wp, &
1432	BTEST( wall_flags_0(k,j,i), 23 ) ) * &
1433	MERGE( 1.0_wp, 0.0_wp, &
1434	BTEST( wall_flags_0(k,j,i), 9 ) )
1435	!
1436	!-- Vertical heat flux
1437	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5_wp * &
1438	( pt(k,j,i) - hom(k,1,4,sr) + &
1439	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
1440	* rho_air_zw(k) &
1441	* heatflux_output_conversion(k) &
1442	* w(k,j,i) * rmask(j,i,sr) * flag
1443	IF ( humidity ) THEN
1444	pts = 0.5_wp * ( q(k,j,i) - hom(k,1,41,sr) + &
1445	q(k+1,j,i) - hom(k+1,1,41,sr) )
1446	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
1447	rho_air_zw(k) * &
1448	waterflux_output_conversion(k) * &
1449	rmask(j,i,sr) * flag
1450	ENDIF
1451	IF ( passive_scalar ) THEN
1452	pts = 0.5_wp * ( s(k,j,i) - hom(k,1,115,sr) + &
1453	s(k+1,j,i) - hom(k+1,1,115,sr) )
1454	sums_l(k,114,tn) = sums_l(k,114,tn) + pts * w(k,j,i) * &
1455	rmask(j,i,sr) * flag
1456	ENDIF
1457	ENDDO
1458	ENDDO
1459	ENDDO
1460
1461	ENDIF
1462
1463	!
1464	!-- Density at top follows Neumann condition
1465	IF ( ocean_mode ) THEN
1466	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
1467	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
1468	ENDIF
1469
1470	!
1471	!-- Divergence of vertical flux of resolved scale energy and pressure
1472	!-- fluctuations as well as flux of pressure fluctuation itself (68).
1473	!-- First calculate the products, then the divergence.
1474	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
1475	IF ( hom(nzb+1,2,55,0) /= 0.0_wp .OR. hom(nzb+1,2,68,0) /= 0.0_wp ) &
1476	THEN
1477	sums_ll = 0.0_wp ! local array
1478
1479	!$OMP DO
1480	DO i = nxl, nxr
1481	DO j = nys, nyn
1482	DO k = nzb+1, nzt
1483	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1484
1485	sums_ll(k,1) = sums_ll(k,1) + 0.5_wp * w(k,j,i) * ( &
1486	( 0.25_wp * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) ) &
1487	- 0.5_wp * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) )**2&
1488	+ ( 0.25_wp * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) ) &
1489	- 0.5_wp * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) )**2&
1490	+ w(k,j,i)*2 ) flag
1491
1492	sums_ll(k,2) = sums_ll(k,2) + 0.5_wp * w(k,j,i) &
1493	* ( ( p(k,j,i) + p(k+1,j,i) ) &
1494	/ momentumflux_output_conversion(k) ) &
1495	* flag
1496
1497	ENDDO
1498	ENDDO
1499	ENDDO
1500	sums_ll(0,1) = 0.0_wp ! because w is zero at the bottom
1501	sums_ll(nzt+1,1) = 0.0_wp
1502	sums_ll(0,2) = 0.0_wp
1503	sums_ll(nzt+1,2) = 0.0_wp
1504
1505	DO k = nzb+1, nzt
1506	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
1507	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
1508	sums_l(k,68,tn) = sums_ll(k,2)
1509	ENDDO
1510	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
1511	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
1512	sums_l(nzb,68,tn) = 0.0_wp ! because w* = 0 at nzb
1513
1514	ENDIF
1515
1516	!
1517	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
1518	IF ( hom(nzb+1,2,57,0) /= 0.0_wp .OR. hom(nzb+1,2,69,0) /= 0.0_wp ) &
1519	THEN
1520	!$OMP DO
1521	DO i = nxl, nxr
1522	DO j = nys, nyn
1523	DO k = nzb+1, nzt
1524
1525	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1526
1527	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5_wp * ( &
1528	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1529	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
1530	) * ddzw(k) &
1531	* flag
1532
1533	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5_wp * ( &
1534	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
1535	) * flag
1536
1537	ENDDO
1538	ENDDO
1539	ENDDO
1540	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
1541	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
1542
1543	ENDIF
1544
1545	!
1546	!-- Horizontal heat fluxes (subgrid, resolved, total).
1547	!-- Do it only, if profiles shall be plotted.
1548	IF ( hom(nzb+1,2,58,0) /= 0.0_wp ) THEN
1549
1550	!$OMP DO
1551	DO i = nxl, nxr
1552	DO j = nys, nyn
1553	DO k = nzb+1, nzt
1554	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1555	!
1556	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
1557	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5_wp * &
1558	( kh(k,j,i) + kh(k,j,i-1) ) &
1559	* ( pt(k,j,i-1) - pt(k,j,i) ) &
1560	* rho_air_zw(k) &
1561	* heatflux_output_conversion(k) &
1562	* ddx * rmask(j,i,sr) * flag
1563	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5_wp * &
1564	( kh(k,j,i) + kh(k,j-1,i) ) &
1565	* ( pt(k,j-1,i) - pt(k,j,i) ) &
1566	* rho_air_zw(k) &
1567	* heatflux_output_conversion(k) &
1568	* ddy * rmask(j,i,sr) * flag
1569	!
1570	!-- Resolved horizontal heat fluxes upt, vpt
1571	sums_l(k,59,tn) = sums_l(k,59,tn) + &
1572	( u(k,j,i) - hom(k,1,1,sr) ) &
1573	* 0.5_wp * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
1574	pt(k,j,i) - hom(k,1,4,sr) ) &
1575	* heatflux_output_conversion(k) &
1576	* flag
1577	pts = 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1578	pt(k,j,i) - hom(k,1,4,sr) )
1579	sums_l(k,62,tn) = sums_l(k,62,tn) + &
1580	( v(k,j,i) - hom(k,1,2,sr) ) &
1581	* 0.5_wp * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
1582	pt(k,j,i) - hom(k,1,4,sr) ) &
1583	* heatflux_output_conversion(k) &
1584	* flag
1585	ENDDO
1586	ENDDO
1587	ENDDO
1588	!
1589	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
1590	sums_l(nzb,58,tn) = 0.0_wp
1591	sums_l(nzb,59,tn) = 0.0_wp
1592	sums_l(nzb,60,tn) = 0.0_wp
1593	sums_l(nzb,61,tn) = 0.0_wp
1594	sums_l(nzb,62,tn) = 0.0_wp
1595	sums_l(nzb,63,tn) = 0.0_wp
1596
1597	ENDIF
1598	!$OMP END PARALLEL
1599
1600	!
1601	!-- Collect current large scale advection and subsidence tendencies for
1602	!-- data output
1603	IF ( large_scale_forcing .AND. ( simulated_time > 0.0_wp ) ) THEN
1604	!
1605	!-- Interpolation in time of LSF_DATA
1606	nt = 1
1607	DO WHILE ( simulated_time - dt_3d > time_vert(nt) )
1608	nt = nt + 1
1609	ENDDO
1610	IF ( simulated_time - dt_3d /= time_vert(nt) ) THEN
1611	nt = nt - 1
1612	ENDIF
1613
1614	fac = ( simulated_time - dt_3d - time_vert(nt) ) &
1615	/ ( time_vert(nt+1)-time_vert(nt) )
1616
1617
1618	DO k = nzb, nzt
1619	sums_ls_l(k,0) = td_lsa_lpt(k,nt) &
1620	+ fac * ( td_lsa_lpt(k,nt+1) - td_lsa_lpt(k,nt) )
1621	sums_ls_l(k,1) = td_lsa_q(k,nt) &
1622	+ fac * ( td_lsa_q(k,nt+1) - td_lsa_q(k,nt) )
1623	ENDDO
1624
1625	sums_ls_l(nzt+1,0) = sums_ls_l(nzt,0)
1626	sums_ls_l(nzt+1,1) = sums_ls_l(nzt,1)
1627
1628	IF ( large_scale_subsidence .AND. use_subsidence_tendencies ) THEN
1629
1630	DO k = nzb, nzt
1631	sums_ls_l(k,2) = td_sub_lpt(k,nt) + fac * &
1632	( td_sub_lpt(k,nt+1) - td_sub_lpt(k,nt) )
1633	sums_ls_l(k,3) = td_sub_q(k,nt) + fac * &
1634	( td_sub_q(k,nt+1) - td_sub_q(k,nt) )
1635	ENDDO
1636
1637	sums_ls_l(nzt+1,2) = sums_ls_l(nzt,2)
1638	sums_ls_l(nzt+1,3) = sums_ls_l(nzt,3)
1639
1640	ENDIF
1641
1642	ENDIF
1643
1644	tn = 0
1645	!$OMP PARALLEL PRIVATE( i, j, k, tn )
1646	!$ tn = omp_get_thread_num()
1647	IF ( radiation .AND. radiation_scheme == 'rrtmg' ) THEN
1648	!$OMP DO
1649	DO i = nxl, nxr
1650	DO j = nys, nyn
1651	DO k = nzb+1, nzt+1
1652	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) )
1653
1654	sums_l(k,100,tn) = sums_l(k,100,tn) + rad_lw_in(k,j,i) &
1655	* rmask(j,i,sr) * flag
1656	sums_l(k,101,tn) = sums_l(k,101,tn) + rad_lw_out(k,j,i) &
1657	* rmask(j,i,sr) * flag
1658	sums_l(k,102,tn) = sums_l(k,102,tn) + rad_sw_in(k,j,i) &
1659	* rmask(j,i,sr) * flag
1660	sums_l(k,103,tn) = sums_l(k,103,tn) + rad_sw_out(k,j,i) &
1661	* rmask(j,i,sr) * flag
1662	sums_l(k,104,tn) = sums_l(k,104,tn) + rad_lw_cs_hr(k,j,i) &
1663	* rmask(j,i,sr) * flag
1664	sums_l(k,105,tn) = sums_l(k,105,tn) + rad_lw_hr(k,j,i) &
1665	* rmask(j,i,sr) * flag
1666	sums_l(k,106,tn) = sums_l(k,106,tn) + rad_sw_cs_hr(k,j,i) &
1667	* rmask(j,i,sr) * flag
1668	sums_l(k,107,tn) = sums_l(k,107,tn) + rad_sw_hr(k,j,i) &
1669	* rmask(j,i,sr) * flag
1670	ENDDO
1671	ENDDO
1672	ENDDO
1673	ENDIF
1674
1675	!
1676	!-- Calculate the profiles for all other modules
1677	CALL module_interface_statistics( 'profiles', sr, tn, dots_max )
1678	!$OMP END PARALLEL
1679
1680	!
1681	!-- Summation of thread sums
1682	IF ( threads_per_task > 1 ) THEN
1683	DO i = 1, threads_per_task-1
1684	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
1685	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
1686	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
1687	sums_l(:,45:pr_palm,i)
1688	IF ( max_pr_user > 0 ) THEN
1689	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
1690	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
1691	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
1692	ENDIF
1693
1694	IF ( air_chemistry ) THEN
1695	IF ( max_pr_cs > 0 ) THEN
1696	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+ max_pr_cs,0) = &
1697	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,0) + &
1698	sums_l(:,pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs,i)
1699
1700	ENDIF
1701	ENDIF
1702	IF ( salsa ) THEN
1703	IF ( max_pr_cs > 0 ) THEN
1704	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) = &
1705	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,0) + &
1706	sums_l(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa,i)
1707
1708	ENDIF
1709	ENDIF
1710	ENDDO
1711	ENDIF
1712
1713	#if defined( __parallel )
1714
1715	!
1716	!-- Compute total sum from local sums
1717	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1718	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
1719	MPI_SUM, comm2d, ierr )
1720	IF ( large_scale_forcing ) THEN
1721	CALL MPI_ALLREDUCE( sums_ls_l(nzb,2), sums(nzb,83), ngp_sums_ls, &
1722	MPI_REAL, MPI_SUM, comm2d, ierr )
1723	ENDIF
1724
1725	IF ( air_chemistry .AND. max_pr_cs > 0 ) THEN
1726	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1727	DO i = 1, max_pr_cs
1728	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+i,0), &
1729	sums(nzb,pr_palm+max_pr_user+i), &
1730	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1731	ENDDO
1732	ENDIF
1733
1734	IF ( salsa .AND. max_pr_salsa > 0 ) THEN
1735	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
1736	DO i = 1, max_pr_salsa
1737	CALL MPI_ALLREDUCE( sums_l(nzb,pr_palm+max_pr_user+max_pr_cs+i,0), &
1738	sums(nzb,pr_palm+max_pr_user+max_pr_user+i), &
1739	nzt+2-nzb, MPI_REAL, MPI_SUM, comm2d, ierr )
1740	ENDDO
1741	ENDIF
1742
1743	#else
1744	sums = sums_l(:,:,0)
1745	IF ( large_scale_forcing ) THEN
1746	sums(:,81:88) = sums_ls_l
1747	ENDIF
1748	#endif
1749
1750	!
1751	!-- Final values are obtained by division by the total number of grid points
1752	!-- used for summation. After that store profiles.
1753	!-- Check, if statistical regions do contain at least one grid point at the
1754	!-- respective k-level, otherwise division by zero will lead to undefined
1755	!-- values, which may cause e.g. problems with NetCDF output
1756	!-- Profiles:
1757	DO k = nzb, nzt+1
1758	sums(k,3) = sums(k,3) / ngp_2dh(sr)
1759	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
1760	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
1761	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
1762	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
1763	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
1764	sums(k,81:88) = sums(k,81:88) / ngp_2dh(sr)
1765	sums(k,89:112) = sums(k,89:112) / ngp_2dh(sr)
1766	sums(k,114) = sums(k,114) / ngp_2dh(sr)
1767	sums(k,117) = sums(k,117) / ngp_2dh(sr)
1768	IF ( ngp_2dh_s_inner(k,sr) /= 0 ) THEN
1769	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
1770	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
1771	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
1772	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
1773	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
1774	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
1775	sums(k,70:80) = sums(k,70:80) / ngp_2dh_s_inner(k,sr)
1776	sums(k,116) = sums(k,116) / ngp_2dh_s_inner(k,sr)
1777	sums(k,118:pr_palm-2) = sums(k,118:pr_palm-2) / ngp_2dh_s_inner(k,sr)
1778	sums(k,123) = sums(k,123) * ngp_2dh_s_inner(k,sr) / ngp_2dh(sr)
1779	ENDIF
1780	ENDDO
1781
1782	!-- u* and so on
1783	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
1784	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
1785	!-- above the topography, they are being divided by ngp_2dh(sr)
1786	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
1787	ngp_2dh(sr)
1788	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
1789	ngp_2dh(sr)
1790	sums(nzb+13,pr_palm) = sums(nzb+13,pr_palm) / & ! ss
1791	ngp_2dh(sr)
1792	sums(nzb+14,pr_palm) = sums(nzb+14,pr_palm) / & ! surface temperature
1793	ngp_2dh(sr)
1794	!-- eges, e*
1795	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
1796	ngp_3d(sr)
1797	!-- Old and new divergence
1798	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
1799	ngp_3d_inner(sr)
1800
1801	!-- User-defined profiles
1802	IF ( max_pr_user > 0 ) THEN
1803	DO k = nzb, nzt+1
1804	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
1805	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
1806	ngp_2dh_s_inner(k,sr)
1807	ENDDO
1808	ENDIF
1809
1810	IF ( air_chemistry ) THEN
1811	IF ( max_pr_cs > 0 ) THEN
1812	DO k = nzb, nzt+1
1813	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) = &
1814	sums(k, pr_palm+1:pr_palm+max_pr_user+max_pr_cs) / &
1815	ngp_2dh_s_inner(k,sr)
1816	ENDDO
1817	ENDIF
1818	ENDIF
1819
1820	IF ( salsa ) THEN
1821	IF ( max_pr_salsa > 0 ) THEN
1822	DO k = nzb, nzt+1
1823	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) = &
1824	sums(k,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa) &
1825	/ ngp_2dh_s_inner(k,sr)
1826	ENDDO
1827	ENDIF
1828	ENDIF
1829
1830	!
1831	!-- Collect horizontal average in hom.
1832	!-- Compute deduced averages (e.g. total heat flux)
1833	hom(:,1,3,sr) = sums(:,3) ! w
1834	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
1835	hom(:,1,9,sr) = sums(:,9) ! km
1836	hom(:,1,10,sr) = sums(:,10) ! kh
1837	hom(:,1,11,sr) = sums(:,11) ! l
1838	hom(:,1,12,sr) = sums(:,12) ! w"u"
1839	hom(:,1,13,sr) = sums(:,13) ! wu
1840	hom(:,1,14,sr) = sums(:,14) ! w"v"
1841	hom(:,1,15,sr) = sums(:,15) ! wv
1842	hom(:,1,16,sr) = sums(:,16) ! w"pt"
1843	hom(:,1,17,sr) = sums(:,17) ! wpt
1844	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
1845	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
1846	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
1847	hom(:,1,21,sr) = sums(:,21) ! wptBC
1848	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
1849	! profile 24 is initial profile (sa)
1850	! profiles 25-29 left empty for initial
1851	! profiles
1852	hom(:,1,30,sr) = sums(:,30) ! u*2
1853	hom(:,1,31,sr) = sums(:,31) ! v*2
1854	hom(:,1,32,sr) = sums(:,32) ! w*2
1855	hom(:,1,33,sr) = sums(:,33) ! pt*2
1856	hom(:,1,34,sr) = sums(:,34) ! e*
1857	hom(:,1,35,sr) = sums(:,35) ! w2pt
1858	hom(:,1,36,sr) = sums(:,36) ! wpt2
1859	hom(:,1,37,sr) = sums(:,37) ! we
1860	hom(:,1,38,sr) = sums(:,38) ! w*3
1861	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20_wp )**1.5_wp ! Sw
1862	hom(:,1,40,sr) = sums(:,40) ! p
1863	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
1864	hom(:,1,46,sr) = sums(:,46) ! wvpt
1865	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
1866	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
1867	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
1868	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
1869	hom(:,1,51,sr) = sums(:,51) ! w"qv"
1870	hom(:,1,52,sr) = sums(:,52) ! wqv
1871	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
1872	hom(:,1,54,sr) = sums(:,54) ! ql
1873	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
1874	hom(:,1,56,sr) = sums(:,56) ! wp/dz
1875	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho_ocean )/dz
1876	hom(:,1,58,sr) = sums(:,58) ! u"pt"
1877	hom(:,1,59,sr) = sums(:,59) ! upt
1878	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
1879	hom(:,1,61,sr) = sums(:,61) ! v"pt"
1880	hom(:,1,62,sr) = sums(:,62) ! vpt
1881	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
1882	hom(:,1,64,sr) = sums(:,64) ! rho_ocean
1883	hom(:,1,65,sr) = sums(:,65) ! w"sa"
1884	hom(:,1,66,sr) = sums(:,66) ! wsa
1885	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
1886	hom(:,1,68,sr) = sums(:,68) ! wp
1887	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho_ocean
1888	hom(:,1,70,sr) = sums(:,70) ! q*2
1889	hom(:,1,71,sr) = sums(:,71) ! prho
1890	hom(:,1,72,sr) = hyp * 1E-2_wp ! hyp in hPa
1891	hom(:,1,123,sr) = sums(:,123) ! nc
1892	hom(:,1,73,sr) = sums(:,73) ! nr
1893	hom(:,1,74,sr) = sums(:,74) ! qr
1894	hom(:,1,75,sr) = sums(:,75) ! qc
1895	hom(:,1,76,sr) = sums(:,76) ! prr (precipitation rate)
1896	! 77 is initial density profile
1897	hom(:,1,78,sr) = ug ! ug
1898	hom(:,1,79,sr) = vg ! vg
1899	hom(:,1,80,sr) = w_subs ! w_subs
1900
1901	IF ( large_scale_forcing ) THEN
1902	hom(:,1,81,sr) = sums_ls_l(:,0) ! td_lsa_lpt
1903	hom(:,1,82,sr) = sums_ls_l(:,1) ! td_lsa_q
1904	IF ( use_subsidence_tendencies ) THEN
1905	hom(:,1,83,sr) = sums_ls_l(:,2) ! td_sub_lpt
1906	hom(:,1,84,sr) = sums_ls_l(:,3) ! td_sub_q
1907	ELSE
1908	hom(:,1,83,sr) = sums(:,83) ! td_sub_lpt
1909	hom(:,1,84,sr) = sums(:,84) ! td_sub_q
1910	ENDIF
1911	hom(:,1,85,sr) = sums(:,85) ! td_nud_lpt
1912	hom(:,1,86,sr) = sums(:,86) ! td_nud_q
1913	hom(:,1,87,sr) = sums(:,87) ! td_nud_u
1914	hom(:,1,88,sr) = sums(:,88) ! td_nud_v
1915	ENDIF
1916
1917	IF ( land_surface ) THEN
1918	hom(:,1,89,sr) = sums(:,89) ! t_soil
1919	! 90 is initial t_soil profile
1920	hom(:,1,91,sr) = sums(:,91) ! m_soil
1921	! 92 is initial m_soil profile
1922	hom(:,1,93,sr) = sums(:,93) ! ghf
1923	hom(:,1,94,sr) = sums(:,94) ! qsws_liq
1924	hom(:,1,95,sr) = sums(:,95) ! qsws_soil
1925	hom(:,1,96,sr) = sums(:,96) ! qsws_veg
1926	hom(:,1,97,sr) = sums(:,97) ! r_a
1927	hom(:,1,98,sr) = sums(:,98) ! r_s
1928
1929	ENDIF
1930
1931	IF ( radiation ) THEN
1932	hom(:,1,99,sr) = sums(:,99) ! rad_net
1933	hom(:,1,100,sr) = sums(:,100) ! rad_lw_in
1934	hom(:,1,101,sr) = sums(:,101) ! rad_lw_out
1935	hom(:,1,102,sr) = sums(:,102) ! rad_sw_in
1936	hom(:,1,103,sr) = sums(:,103) ! rad_sw_out
1937
1938	IF ( radiation_scheme == 'rrtmg' ) THEN
1939	hom(:,1,104,sr) = sums(:,104) ! rad_lw_cs_hr
1940	hom(:,1,105,sr) = sums(:,105) ! rad_lw_hr
1941	hom(:,1,106,sr) = sums(:,106) ! rad_sw_cs_hr
1942	hom(:,1,107,sr) = sums(:,107) ! rad_sw_hr
1943
1944	hom(:,1,108,sr) = sums(:,108) ! rrtm_aldif
1945	hom(:,1,109,sr) = sums(:,109) ! rrtm_aldir
1946	hom(:,1,110,sr) = sums(:,110) ! rrtm_asdif
1947	hom(:,1,111,sr) = sums(:,111) ! rrtm_asdir
1948	ENDIF
1949	ENDIF
1950
1951	hom(:,1,112,sr) = sums(:,112) !: L
1952
1953	IF ( passive_scalar ) THEN
1954	hom(:,1,117,sr) = sums(:,117) ! w"s"
1955	hom(:,1,114,sr) = sums(:,114) ! ws
1956	hom(:,1,118,sr) = sums(:,117) + sums(:,114) ! ws
1957	hom(:,1,116,sr) = sums(:,116) ! s*2
1958	ENDIF
1959
1960	hom(:,1,119,sr) = rho_air ! rho_air in Kg/m^3
1961	hom(:,1,120,sr) = rho_air_zw ! rho_air_zw in Kg/m^3
1962
1963	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
1964	! u, w'u', w'v', t (in last profile)
1965
1966	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
1967	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
1968	sums(:,pr_palm+1:pr_palm+max_pr_user)
1969	ENDIF
1970
1971	IF ( air_chemistry ) THEN
1972	IF ( max_pr_cs > 0 ) THEN ! chem_spcs profiles
1973	hom(:, 1, pr_palm+max_pr_user+1:pr_palm + max_pr_user+max_pr_cs, sr) = &
1974	sums(:, pr_palm+max_pr_user+1:pr_palm+max_pr_user+max_pr_cs)
1975	ENDIF
1976	ENDIF
1977
1978	IF ( salsa ) THEN
1979	IF ( max_pr_salsa > 0 ) THEN ! salsa profiles
1980	hom(:,1,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa, sr) = &
1981	sums(:,pr_palm+max_pr_user+max_pr_cs+1:pr_palm+max_pr_user+max_pr_cs+max_pr_salsa)
1982	ENDIF
1983	ENDIF
1984	!
1985	!-- Determine the boundary layer height using two different schemes.
1986	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
1987	!-- first relative minimum (maximum) of the total heat flux.
1988	!-- The corresponding height is assumed as the boundary layer height, if it
1989	!-- is less than 1.5 times the height where the heat flux becomes negative
1990	!-- (positive) for the first time. Attention: the resolved vertical sensible
1991	!-- heat flux (hom(:,1,17,sr) = wpt) is not known at the beginning because
1992	!-- the calculation happens in advec_s_ws which is called after
1993	!-- flow_statistics. Therefore z_i is directly taken from restart data at
1994	!-- the beginning of restart runs.
1995	IF ( TRIM( initializing_actions ) /= 'read_restart_data' .OR. &
1996	simulated_time_at_begin /= simulated_time ) THEN
1997
1998	z_i(1) = 0.0_wp
1999	first = .TRUE.
2000
2001	IF ( ocean_mode ) THEN
2002	DO k = nzt, nzb+1, -1
2003	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2004	first = .FALSE.
2005	height = zw(k)
2006	ENDIF
2007	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2008	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
2009	IF ( zw(k) < 1.5_wp * height ) THEN
2010	z_i(1) = zw(k)
2011	ELSE
2012	z_i(1) = height
2013	ENDIF
2014	EXIT
2015	ENDIF
2016	ENDDO
2017	ELSE
2018	DO k = nzb, nzt-1
2019	IF ( first .AND. hom(k,1,18,sr) < -1.0E-8_wp ) THEN
2020	first = .FALSE.
2021	height = zw(k)
2022	ENDIF
2023	IF ( hom(k,1,18,sr) < -1.0E-8_wp .AND. &
2024	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
2025	IF ( zw(k) < 1.5_wp * height ) THEN
2026	z_i(1) = zw(k)
2027	ELSE
2028	z_i(1) = height
2029	ENDIF
2030	EXIT
2031	ENDIF
2032	ENDDO
2033	ENDIF
2034
2035	!
2036	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
2037	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
2038	!-- maximal local temperature gradient: starting from the second (the
2039	!-- last but one) vertical gridpoint, the local gradient must be at least
2040	!-- 0.2K/100m and greater than the next four gradients.
2041	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
2042	!-- ocean case!
2043	z_i(2) = 0.0_wp
2044	DO k = nzb+1, nzt+1
2045	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
2046	ENDDO
2047	dptdz_threshold = 0.2_wp / 100.0_wp
2048
2049	IF ( ocean_mode ) THEN
2050	DO k = nzt+1, nzb+5, -1
2051	IF ( dptdz(k) > dptdz_threshold .AND. &
2052	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND.&
2053	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
2054	z_i(2) = zw(k-1)
2055	EXIT
2056	ENDIF
2057	ENDDO
2058	ELSE
2059	DO k = nzb+1, nzt-3
2060	IF ( dptdz(k) > dptdz_threshold .AND. &
2061	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND.&
2062	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
2063	z_i(2) = zw(k-1)
2064	EXIT
2065	ENDIF
2066	ENDDO
2067	ENDIF
2068
2069	ENDIF
2070
2071	hom(nzb+6,1,pr_palm,sr) = z_i(1)
2072	hom(nzb+7,1,pr_palm,sr) = z_i(2)
2073
2074	!
2075	!-- Determine vertical index which is nearest to the mean surface level
2076	!-- height of the respective statistic region
2077	DO k = nzb, nzt
2078	IF ( zw(k) >= mean_surface_level_height(sr) ) THEN
2079	k_surface_level = k
2080	EXIT
2081	ENDIF
2082	ENDDO
2083
2084	!
2085	!-- Computation of both the characteristic vertical velocity and
2086	!-- the characteristic convective boundary layer temperature.
2087	!-- The inversion height entering into the equation is defined with respect
2088	!-- to the mean surface level height of the respective statistic region.
2089	!-- The horizontal average at surface level index + 1 is input for the
2090	!-- average temperature.
2091	IF ( hom(k_surface_level,1,18,sr) > 1.0E-8_wp .AND. z_i(1) /= 0.0_wp )&
2092	THEN
2093	hom(nzb+8,1,pr_palm,sr) = &
2094	( g / hom(k_surface_level+1,1,4,sr) * &
2095	( hom(k_surface_level,1,18,sr) / &
2096	( heatflux_output_conversion(nzb) * rho_air(nzb) ) ) &
2097	* ABS( z_i(1) - mean_surface_level_height(sr) ) )**0.333333333_wp
2098	ELSE
2099	hom(nzb+8,1,pr_palm,sr) = 0.0_wp
2100	ENDIF
2101
2102	!
2103	!-- Collect the time series quantities. Please note, timeseries quantities
2104	!-- which are collected from horizontally averaged profiles, e.g. wpt
2105	!-- or pt(zp), are treated specially. In case of elevated model surfaces,
2106	!-- index nzb+1 might be within topography and data will be zero. Therefore,
2107	!-- take value for the first atmosphere index, which is topo_min_level+1.
2108	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
2109	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
2110	ts_value(3,sr) = dt_3d
2111	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
2112	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
2113	ts_value(6,sr) = u_max
2114	ts_value(7,sr) = v_max
2115	ts_value(8,sr) = w_max
2116	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
2117	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
2118	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
2119	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
2120	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
2121	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
2122	ts_value(15,sr) = hom(topo_min_level+1,1,16,sr) ! w'pt' at k=1
2123	ts_value(16,sr) = hom(topo_min_level+1,1,18,sr) ! wpt at k=1
2124	ts_value(17,sr) = hom(nzb+14,1,pr_palm,sr) ! pt(0)
2125	ts_value(18,sr) = hom(topo_min_level+1,1,4,sr) ! pt(zp)
2126	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
2127	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
2128	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
2129
2130	IF ( .NOT. neutral ) THEN
2131	ts_value(22,sr) = hom(nzb,1,112,sr) ! L
2132	ELSE
2133	ts_value(22,sr) = 1.0E10_wp
2134	ENDIF
2135
2136	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
2137
2138	IF ( passive_scalar ) THEN
2139	ts_value(24,sr) = hom(nzb+13,1,117,sr) ! w"s" ( to do ! )
2140	ts_value(25,sr) = hom(nzb+13,1,pr_palm,sr) ! s*
2141	ENDIF
2142
2143	!
2144	!-- Collect land surface model timeseries
2145	IF ( land_surface ) THEN
2146	ts_value(dots_soil ,sr) = hom(nzb,1,93,sr) ! ghf
2147	ts_value(dots_soil+1,sr) = hom(nzb,1,94,sr) ! qsws_liq
2148	ts_value(dots_soil+2,sr) = hom(nzb,1,95,sr) ! qsws_soil
2149	ts_value(dots_soil+3,sr) = hom(nzb,1,96,sr) ! qsws_veg
2150	ts_value(dots_soil+4,sr) = hom(nzb,1,97,sr) ! r_a
2151	ts_value(dots_soil+5,sr) = hom(nzb,1,98,sr) ! r_s
2152	ENDIF
2153	!
2154	!-- Collect radiation model timeseries
2155	IF ( radiation ) THEN
2156	ts_value(dots_rad,sr) = hom(nzb,1,99,sr) ! rad_net
2157	ts_value(dots_rad+1,sr) = hom(nzb,1,100,sr) ! rad_lw_in
2158	ts_value(dots_rad+2,sr) = hom(nzb,1,101,sr) ! rad_lw_out
2159	ts_value(dots_rad+3,sr) = hom(nzb,1,102,sr) ! rad_sw_in
2160	ts_value(dots_rad+4,sr) = hom(nzb,1,103,sr) ! rad_sw_out
2161
2162	IF ( radiation_scheme == 'rrtmg' ) THEN
2163	ts_value(dots_rad+5,sr) = hom(nzb,1,108,sr) ! rrtm_aldif
2164	ts_value(dots_rad+6,sr) = hom(nzb,1,109,sr) ! rrtm_aldir
2165	ts_value(dots_rad+7,sr) = hom(nzb,1,110,sr) ! rrtm_asdif
2166	ts_value(dots_rad+8,sr) = hom(nzb,1,111,sr) ! rrtm_asdir
2167	ENDIF
2168
2169	ENDIF
2170
2171	!
2172	!-- Calculate additional statistics provided by other modules
2173	CALL module_interface_statistics( 'time_series', sr, 0, dots_max )
2174
2175	ENDDO ! loop of the subregions
2176
2177	!
2178	!-- If required, sum up horizontal averages for subsequent time averaging.
2179	!-- Do not sum, if flow statistics is called before the first initial time step.
2180	IF ( do_sum .AND. simulated_time /= 0.0_wp ) THEN
2181	IF ( average_count_pr == 0 ) hom_sum = 0.0_wp
2182	hom_sum = hom_sum + hom(:,1,:,:)
2183	average_count_pr = average_count_pr + 1
2184	do_sum = .FALSE.
2185	ENDIF
2186
2187	!
2188	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
2189	!-- This flag is reset after each time step in time_integration.
2190	flow_statistics_called = .TRUE.
2191
2192	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
2193
2194
2195	END SUBROUTINE flow_statistics

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