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flow_statistics.f90 @ 1007

Last change on this file since 1007 was 1007, checked in by franke, 12 years ago

Bugfixes

Missing calculation of mean particle weighting factor for output added. (data_output_2d, data_output_3d, data_output_mask, sum_up_3d_data)
Calculation of mean particle radius for output now considers the weighting factor. (data_output_mask)
Calculation of sugrid-scale buoyancy flux for humidity and cloud droplets corrected. (flow_statistics)
Factor in calculation of enhancement factor for collision efficencies corrected. (lpm_collision_kernels)
Calculation of buoyancy production now considers the liquid water mixing ratio in case of cloud droplets. (production_e)

Changes

Calculation of buoyancy flux for humidity in case of WS-scheme is now using turbulent fluxes of WS-scheme. (flow_statistics)
Calculation of the collision kernels now in SI units. (lpm_collision_kernels)

Property svn:keywords set to Id

File size: 53.3 KB

Rev	Line
[1]	1	SUBROUTINE flow_statistics
	2
	3	!------------------------------------------------------------------------------!
[254]	4	! Current revisions:
[1]	5	! -----------------
[1007]	6	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
	7	! turbulent fluxes of WS-scheme
	8	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
	9	! droplets at nzb and nzt added
[700]	10	!
	11	! Former revisions:
	12	! -----------------
	13	! $Id: flow_statistics.f90 1007 2012-09-19 14:30:36Z franke $
	14	!
[802]	15	! 801 2012-01-10 17:30:36Z suehring
	16	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
	17	!
[744]	18	! 743 2011-08-18 16:10:16Z suehring
	19	! Calculation of turbulent fluxes with WS-scheme only for the whole model
	20	! domain, not for user-defined subregions.
	21	!
[710]	22	! 709 2011-03-30 09:31:40Z raasch
	23	! formatting adjustments
	24	!
[700]	25	! 699 2011-03-22 17:52:22Z suehring
[699]	26	! Bugfix in calculation of vertical velocity skewness. The added absolute value
	27	! avoid negative values in the root. Negative values of w'w' can occur at the
	28	! top or bottom of the model domain due to degrading the order of advection
	29	! scheme. Furthermore the calculation will be the same for all advection
	30	! schemes.
[392]	31	!
[697]	32	! 696 2011-03-18 07:03:49Z raasch
	33	! Bugfix: Summation of Wicker-Skamarock scheme fluxes and variances for all
	34	! threads
	35	!
[679]	36	! 678 2011-02-02 14:31:56Z raasch
	37	! Bugfix in calculation of the divergence of vertical flux of resolved scale
	38	! energy, pressure fluctuations, and flux of pressure fluctuation itself
	39	!
[674]	40	! 673 2011-01-18 16:19:48Z suehring
	41	! Top bc for the horizontal velocity variances added for ocean runs.
	42	! Setting the corresponding bottom bc moved to advec_ws.
	43	!
[668]	44	! 667 2010-12-23 12:06:00Z suehring/gryschka
	45	! When advection is computed with ws-scheme, turbulent fluxes are already
	46	! computed in the respective advection routines and buffered in arrays
	47	! sums_xx_ws_l(). This is due to a consistent treatment of statistics with the
	48	! numerics and to avoid unphysical kinks near the surface.
	49	! So some if requests has to be done to dicern between fluxes from ws-scheme
	50	! other advection schemes.
	51	! Furthermore the computation of z_i is only done if the heat flux exceeds a
	52	! minimum value. This affects only simulations of a neutral boundary layer and
	53	! is due to reasons of computations in the advection scheme.
	54	!
[625]	55	! 624 2010-12-10 11:46:30Z heinze
	56	! Calculation of q*2 added
	57	!
[623]	58	! 622 2010-12-10 08:08:13Z raasch
	59	! optional barriers included in order to speed up collective operations
	60	!
[392]	61	! 388 2009-09-23 09:40:33Z raasch
[388]	62	! Vertical profiles of potential density and hydrostatic pressure are
	63	! calculated.
[343]	64	! Added missing timeseries calculation of w"q"(0), moved timeseries q* to the
	65	! end.
[291]	66	! Temperature gradient criterion for estimating the boundary layer height
	67	! replaced by the gradient criterion of Sullivan et al. (1998).
[254]	68	! Output of messages replaced by message handling routine.
[1]	69	!
[198]	70	! 197 2008-09-16 15:29:03Z raasch
	71	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
	72	! added,
	73	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
	74	! (like other scalars)
	75	!
[139]	76	! 133 2007-11-20 10:10:53Z letzel
	77	! Vertical profiles now based on nzb_s_inner; they are divided by
	78	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
	79	! velocity components and their products, procucts of scalars and velocity
	80	! components), respectively.
	81	!
[110]	82	! 106 2007-08-16 14:30:26Z raasch
	83	! Prescribed momentum fluxes at the top surface are used,
	84	! profiles for wp and w"e are calculated
	85	!
[98]	86	! 97 2007-06-21 08:23:15Z raasch
	87	! Statistics for ocean version (salinity, density) added,
	88	! calculation of z_i and Deardorff velocity scale adjusted to be used with
	89	! the ocean version
	90	!
[90]	91	! 87 2007-05-22 15:46:47Z raasch
	92	! Two more arguments added to user_statistics, which is now also called for
	93	! user-defined profiles,
	94	! var_hom and var_sum renamed pr_palm
	95	!
[83]	96	! 82 2007-04-16 15:40:52Z raasch
	97	! Cpp-directive lcmuk changed to intel_openmp_bug
	98	!
[77]	99	! 75 2007-03-22 09:54:05Z raasch
	100	! Collection of time series quantities moved from routine flow_statistics to
	101	! here, routine user_statistics is called for each statistic region,
	102	! moisture renamed humidity
	103	!
[39]	104	! 19 2007-02-23 04:53:48Z raasch
[77]	105	! fluxes at top modified (tswst, qswst)
[39]	106	!
[3]	107	! RCS Log replace by Id keyword, revision history cleaned up
	108	!
[1]	109	! Revision 1.41 2006/08/04 14:37:50 raasch
	110	! Error removed in non-parallel part (sums_l)
	111	!
	112	! Revision 1.1 1997/08/11 06:15:17 raasch
	113	! Initial revision
	114	!
	115	!
	116	! Description:
	117	! ------------
	118	! Compute average profiles and further average flow quantities for the different
	119	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
	120	!
[132]	121	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
	122	! ---- lower vertical index for k-loops for all variables, although strictly
	123	! speaking the k-loops would have to be split up according to the staggered
	124	! grid. However, this implies no error since staggered velocity components are
	125	! zero at the walls and inside buildings.
[1]	126	!------------------------------------------------------------------------------!
	127
	128	USE arrays_3d
	129	USE cloud_parameters
[709]	130	USE control_parameters
[1]	131	USE cpulog
	132	USE grid_variables
	133	USE indices
	134	USE interfaces
	135	USE pegrid
	136	USE statistics
	137
	138	IMPLICIT NONE
	139
	140	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
	141	LOGICAL :: first
[291]	142	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
	143	ust2, u2, vst, vst2, v2, w2, z_i(2)
	144	REAL :: dptdz(nzb+1:nzt+1)
[1]	145	REAL :: sums_ll(nzb:nzt+1,2)
	146
	147	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
	148
	149	!
	150	!-- To be on the safe side, check whether flow_statistics has already been
	151	!-- called once after the current time step
	152	IF ( flow_statistics_called ) THEN
[254]	153
[274]	154	message_string = 'flow_statistics is called two times within one ' // &
	155	'timestep'
[254]	156	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
[1007]	157
[1]	158	ENDIF
	159
	160	!
	161	!-- Compute statistics for each (sub-)region
	162	DO sr = 0, statistic_regions
	163
	164	!
	165	!-- Initialize (local) summation array
	166	sums_l = 0.0
	167
	168	!
	169	!-- Store sums that have been computed in other subroutines in summation
	170	!-- array
	171	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
	172	!-- WARNING: next line still has to be adjusted for OpenMP
	173	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
[87]	174	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
	175	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
[1]	176
[667]	177	!
	178	!-- Copy the turbulent quantities, evaluated in the advection routines to
	179	!-- the local array sums_l() for further computations
[743]	180	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
[696]	181
[1007]	182	!
[673]	183	!-- According to the Neumann bc for the horizontal velocity components,
	184	!-- the corresponding fluxes has to satisfiy the same bc.
	185	IF ( ocean ) THEN
[801]	186	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
[1007]	187	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
[673]	188	ENDIF
[696]	189
	190	DO i = 0, threads_per_task-1
[1007]	191	!
[696]	192	!-- Swap the turbulent quantities evaluated in advec_ws.
[801]	193	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
	194	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
	195	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
	196	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
	197	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
[696]	198	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
[801]	199	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
	200	sums_ws2_ws_l(:,i) ) ! e*
[696]	201	DO k = nzb, nzt
[801]	202	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
	203	sums_us2_ws_l(k,i) + &
	204	sums_vs2_ws_l(k,i) + &
	205	sums_ws2_ws_l(k,i) )
[696]	206	ENDDO
[667]	207	ENDDO
[696]	208
[667]	209	ENDIF
[696]	210
[743]	211	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
[696]	212
	213	DO i = 0, threads_per_task-1
[801]	214	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
	215	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
[696]	216	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
[801]	217	sums_wsqs_ws_l(:,i) !wq
[696]	218	ENDDO
	219
[667]	220	ENDIF
[305]	221	!
[1]	222	!-- Horizontally averaged profiles of horizontal velocities and temperature.
	223	!-- They must have been computed before, because they are already required
	224	!-- for other horizontal averages.
	225	tn = 0
[667]	226
[1]	227	!$OMP PARALLEL PRIVATE( i, j, k, tn )
[82]	228	#if defined( __intel_openmp_bug )
[1]	229	tn = omp_get_thread_num()
	230	#else
	231	!$ tn = omp_get_thread_num()
	232	#endif
	233
	234	!$OMP DO
	235	DO i = nxl, nxr
	236	DO j = nys, nyn
[132]	237	DO k = nzb_s_inner(j,i), nzt+1
[1]	238	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
	239	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
	240	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
	241	ENDDO
	242	ENDDO
	243	ENDDO
	244
	245	!
[96]	246	!-- Horizontally averaged profile of salinity
	247	IF ( ocean ) THEN
	248	!$OMP DO
	249	DO i = nxl, nxr
	250	DO j = nys, nyn
[132]	251	DO k = nzb_s_inner(j,i), nzt+1
[96]	252	sums_l(k,23,tn) = sums_l(k,23,tn) + &
	253	sa(k,j,i) * rmask(j,i,sr)
	254	ENDDO
	255	ENDDO
	256	ENDDO
	257	ENDIF
	258
	259	!
[1]	260	!-- Horizontally averaged profiles of virtual potential temperature,
	261	!-- total water content, specific humidity and liquid water potential
	262	!-- temperature
[75]	263	IF ( humidity ) THEN
[1]	264	!$OMP DO
	265	DO i = nxl, nxr
	266	DO j = nys, nyn
[132]	267	DO k = nzb_s_inner(j,i), nzt+1
[1]	268	sums_l(k,44,tn) = sums_l(k,44,tn) + &
	269	vpt(k,j,i) * rmask(j,i,sr)
	270	sums_l(k,41,tn) = sums_l(k,41,tn) + &
	271	q(k,j,i) * rmask(j,i,sr)
	272	ENDDO
	273	ENDDO
	274	ENDDO
	275	IF ( cloud_physics ) THEN
	276	!$OMP DO
	277	DO i = nxl, nxr
	278	DO j = nys, nyn
[132]	279	DO k = nzb_s_inner(j,i), nzt+1
[1]	280	sums_l(k,42,tn) = sums_l(k,42,tn) + &
	281	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
	282	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
	283	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
	284	) * rmask(j,i,sr)
	285	ENDDO
	286	ENDDO
	287	ENDDO
	288	ENDIF
	289	ENDIF
	290
	291	!
	292	!-- Horizontally averaged profiles of passive scalar
	293	IF ( passive_scalar ) THEN
	294	!$OMP DO
	295	DO i = nxl, nxr
	296	DO j = nys, nyn
[132]	297	DO k = nzb_s_inner(j,i), nzt+1
[1]	298	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
	299	ENDDO
	300	ENDDO
	301	ENDDO
	302	ENDIF
	303	!$OMP END PARALLEL
	304	!
	305	!-- Summation of thread sums
	306	IF ( threads_per_task > 1 ) THEN
	307	DO i = 1, threads_per_task-1
	308	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
	309	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
	310	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
[96]	311	IF ( ocean ) THEN
	312	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
	313	ENDIF
[75]	314	IF ( humidity ) THEN
[1]	315	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	316	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
	317	IF ( cloud_physics ) THEN
	318	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
	319	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
	320	ENDIF
	321	ENDIF
	322	IF ( passive_scalar ) THEN
	323	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	324	ENDIF
	325	ENDDO
	326	ENDIF
	327
	328	#if defined( __parallel )
	329	!
	330	!-- Compute total sum from local sums
[622]	331	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	332	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
	333	MPI_SUM, comm2d, ierr )
[622]	334	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	335	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
	336	MPI_SUM, comm2d, ierr )
[622]	337	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	338	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
	339	MPI_SUM, comm2d, ierr )
[96]	340	IF ( ocean ) THEN
[622]	341	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[96]	342	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
	343	MPI_REAL, MPI_SUM, comm2d, ierr )
	344	ENDIF
[75]	345	IF ( humidity ) THEN
[622]	346	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	347	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
	348	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	349	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	350	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	351	MPI_REAL, MPI_SUM, comm2d, ierr )
	352	IF ( cloud_physics ) THEN
[622]	353	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	354	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
	355	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	356	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	357	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
	358	MPI_REAL, MPI_SUM, comm2d, ierr )
	359	ENDIF
	360	ENDIF
	361
	362	IF ( passive_scalar ) THEN
[622]	363	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	364	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	365	MPI_REAL, MPI_SUM, comm2d, ierr )
	366	ENDIF
	367	#else
	368	sums(:,1) = sums_l(:,1,0)
	369	sums(:,2) = sums_l(:,2,0)
	370	sums(:,4) = sums_l(:,4,0)
[96]	371	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
[75]	372	IF ( humidity ) THEN
[1]	373	sums(:,44) = sums_l(:,44,0)
	374	sums(:,41) = sums_l(:,41,0)
	375	IF ( cloud_physics ) THEN
	376	sums(:,42) = sums_l(:,42,0)
	377	sums(:,43) = sums_l(:,43,0)
	378	ENDIF
	379	ENDIF
	380	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
	381	#endif
	382
	383	!
	384	!-- Final values are obtained by division by the total number of grid points
	385	!-- used for summation. After that store profiles.
[132]	386	sums(:,1) = sums(:,1) / ngp_2dh(sr)
	387	sums(:,2) = sums(:,2) / ngp_2dh(sr)
	388	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
[1]	389	hom(:,1,1,sr) = sums(:,1) ! u
	390	hom(:,1,2,sr) = sums(:,2) ! v
	391	hom(:,1,4,sr) = sums(:,4) ! pt
	392
[667]	393
[1]	394	!
[96]	395	!-- Salinity
	396	IF ( ocean ) THEN
[132]	397	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
[96]	398	hom(:,1,23,sr) = sums(:,23) ! sa
	399	ENDIF
	400
	401	!
[1]	402	!-- Humidity and cloud parameters
[75]	403	IF ( humidity ) THEN
[132]	404	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
	405	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
[1]	406	hom(:,1,44,sr) = sums(:,44) ! vpt
	407	hom(:,1,41,sr) = sums(:,41) ! qv (q)
	408	IF ( cloud_physics ) THEN
[132]	409	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
	410	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
[1]	411	hom(:,1,42,sr) = sums(:,42) ! qv
	412	hom(:,1,43,sr) = sums(:,43) ! pt
	413	ENDIF
	414	ENDIF
	415
	416	!
	417	!-- Passive scalar
[132]	418	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
	419	ngp_2dh_s_inner(:,sr) ! s (q)
[1]	420
	421	!
	422	!-- Horizontally averaged profiles of the remaining prognostic variables,
	423	!-- variances, the total and the perturbation energy (single values in last
	424	!-- column of sums_l) and some diagnostic quantities.
[132]	425	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	426	!-- ---- speaking the following k-loop would have to be split up and
	427	!-- rearranged according to the staggered grid.
[132]	428	!-- However, this implies no error since staggered velocity components
	429	!-- are zero at the walls and inside buildings.
[1]	430	tn = 0
[82]	431	#if defined( __intel_openmp_bug )
[1]	432	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
	433	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
	434	tn = omp_get_thread_num()
	435	#else
	436	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
	437	!$ tn = omp_get_thread_num()
	438	#endif
	439	!$OMP DO
	440	DO i = nxl, nxr
	441	DO j = nys, nyn
	442	sums_l_etot = 0.0
[132]	443	DO k = nzb_s_inner(j,i), nzt+1
[1]	444	!
	445	!-- Prognostic and diagnostic variables
	446	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
	447	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
	448	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
	449	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
	450	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
	451
	452	sums_l(k,33,tn) = sums_l(k,33,tn) + &
	453	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
[624]	454
	455	IF ( humidity ) THEN
	456	sums_l(k,70,tn) = sums_l(k,70,tn) + &
	457	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
	458	ENDIF
[1007]	459
[699]	460	!
	461	!-- Higher moments
	462	!-- (Computation of the skewness of w further below)
	463	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
[667]	464
[1]	465	sums_l_etot = sums_l_etot + &
[667]	466	0.5 * ( u(k,j,i)2 + v(k,j,i)2 + &
	467	w(k,j,i)*2 ) rmask(j,i,sr)
[1]	468	ENDDO
	469	!
	470	!-- Total and perturbation energy for the total domain (being
	471	!-- collected in the last column of sums_l). Summation of these
	472	!-- quantities is seperated from the previous loop in order to
	473	!-- allow vectorization of that loop.
[87]	474	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
[1]	475	!
	476	!-- 2D-arrays (being collected in the last column of sums_l)
[87]	477	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
[1]	478	us(j,i) * rmask(j,i,sr)
[87]	479	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
[1]	480	usws(j,i) * rmask(j,i,sr)
[87]	481	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
[1]	482	vsws(j,i) * rmask(j,i,sr)
[87]	483	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
[1]	484	ts(j,i) * rmask(j,i,sr)
[197]	485	IF ( humidity ) THEN
	486	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
	487	qs(j,i) * rmask(j,i,sr)
	488	ENDIF
[1]	489	ENDDO
	490	ENDDO
	491
	492	!
[667]	493	!-- Computation of statistics when ws-scheme is not used. Else these
	494	!-- quantities are evaluated in the advection routines.
[743]	495	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	496	!$OMP DO
	497	DO i = nxl, nxr
	498	DO j = nys, nyn
	499	sums_l_eper = 0.0
	500	DO k = nzb_s_inner(j,i), nzt+1
	501	u2 = u(k,j,i)**2
	502	v2 = v(k,j,i)**2
	503	w2 = w(k,j,i)**2
	504	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
	505	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
	506
	507	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
	508	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
	509	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
	510	!
	511	!-- Perturbation energy
	512
	513	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * &
	514	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
	515	sums_l_eper = sums_l_eper + &
	516	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
	517
	518	ENDDO
	519	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
	520	+ sums_l_eper
	521	ENDDO
	522	ENDDO
	523	ENDIF
	524	!
[1]	525	!-- Horizontally averaged profiles of the vertical fluxes
[667]	526
[1]	527	!$OMP DO
	528	DO i = nxl, nxr
	529	DO j = nys, nyn
	530	!
	531	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
	532	!-- oterwise from k=nzb+1)
[132]	533	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
[1]	534	!-- ---- strictly speaking the following k-loop would have to be
	535	!-- split up according to the staggered grid.
[132]	536	!-- However, this implies no error since staggered velocity
	537	!-- components are zero at the walls and inside buildings.
	538
	539	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
[1]	540	!
	541	!-- Momentum flux w"u"
	542	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
	543	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
	544	) * ( &
	545	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	546	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	547	) * rmask(j,i,sr)
	548	!
	549	!-- Momentum flux w"v"
	550	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
	551	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
	552	) * ( &
	553	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	554	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	555	) * rmask(j,i,sr)
	556	!
	557	!-- Heat flux w"pt"
	558	sums_l(k,16,tn) = sums_l(k,16,tn) &
	559	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	560	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	561	* ddzu(k+1) * rmask(j,i,sr)
	562
	563
	564	!
[96]	565	!-- Salinity flux w"sa"
	566	IF ( ocean ) THEN
	567	sums_l(k,65,tn) = sums_l(k,65,tn) &
	568	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	569	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	570	* ddzu(k+1) * rmask(j,i,sr)
	571	ENDIF
	572
	573	!
[1]	574	!-- Buoyancy flux, water flux (humidity flux) w"q"
[75]	575	IF ( humidity ) THEN
[1]	576	sums_l(k,45,tn) = sums_l(k,45,tn) &
	577	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	578	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	579	* ddzu(k+1) * rmask(j,i,sr)
	580	sums_l(k,48,tn) = sums_l(k,48,tn) &
	581	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	582	* ( q(k+1,j,i) - q(k,j,i) ) &
	583	* ddzu(k+1) * rmask(j,i,sr)
[1007]	584
[1]	585	IF ( cloud_physics ) THEN
	586	sums_l(k,51,tn) = sums_l(k,51,tn) &
	587	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	588	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
	589	- ( q(k,j,i) - ql(k,j,i) ) ) &
	590	* ddzu(k+1) * rmask(j,i,sr)
	591	ENDIF
	592	ENDIF
	593
	594	!
	595	!-- Passive scalar flux
	596	IF ( passive_scalar ) THEN
	597	sums_l(k,48,tn) = sums_l(k,48,tn) &
	598	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	599	* ( q(k+1,j,i) - q(k,j,i) ) &
	600	* ddzu(k+1) * rmask(j,i,sr)
	601	ENDIF
	602
	603	ENDDO
	604
	605	!
	606	!-- Subgridscale fluxes in the Prandtl layer
	607	IF ( use_surface_fluxes ) THEN
	608	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
	609	usws(j,i) * rmask(j,i,sr) ! w"u"
	610	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
	611	vsws(j,i) * rmask(j,i,sr) ! w"v"
	612	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
	613	shf(j,i) * rmask(j,i,sr) ! w"pt"
	614	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
	615	0.0 * rmask(j,i,sr) ! u"pt"
	616	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
	617	0.0 * rmask(j,i,sr) ! v"pt"
[96]	618	IF ( ocean ) THEN
	619	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
	620	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	621	ENDIF
[75]	622	IF ( humidity ) THEN
[1]	623	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	624	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	625	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	626	( 1.0 + 0.61 * q(nzb,j,i) ) * &
	627	shf(j,i) + 0.61 * pt(nzb,j,i) * &
	628	qsws(j,i) )
	629	IF ( cloud_droplets ) THEN
	630	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	631	( 1.0 + 0.61 * q(nzb,j,i) - &
	632	ql(nzb,j,i) ) * shf(j,i) + &
	633	0.61 * pt(nzb,j,i) * qsws(j,i) )
	634	ENDIF
[1]	635	IF ( cloud_physics ) THEN
	636	!
	637	!-- Formula does not work if ql(nzb) /= 0.0
	638	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
	639	qsws(j,i) * rmask(j,i,sr)
	640	ENDIF
	641	ENDIF
	642	IF ( passive_scalar ) THEN
	643	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	644	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	645	ENDIF
	646	ENDIF
	647
	648	!
[19]	649	!-- Subgridscale fluxes at the top surface
	650	IF ( use_top_fluxes ) THEN
[550]	651	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
[102]	652	uswst(j,i) * rmask(j,i,sr) ! w"u"
[550]	653	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
[102]	654	vswst(j,i) * rmask(j,i,sr) ! w"v"
[550]	655	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
[19]	656	tswst(j,i) * rmask(j,i,sr) ! w"pt"
[550]	657	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
[19]	658	0.0 * rmask(j,i,sr) ! u"pt"
[550]	659	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
	660	0.0 * rmask(j,i,sr) ! v"pt"
	661
[96]	662	IF ( ocean ) THEN
	663	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
	664	saswst(j,i) * rmask(j,i,sr) ! w"sa"
	665	ENDIF
[75]	666	IF ( humidity ) THEN
[19]	667	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	668	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	669	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	670	( 1.0 + 0.61 * q(nzt,j,i) ) * &
	671	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
	672	qswst(j,i) )
	673	IF ( cloud_droplets ) THEN
	674	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	675	( 1.0 + 0.61 * q(nzt,j,i) - &
	676	ql(nzt,j,i) ) * tswst(j,i) + &
	677	0.61 * pt(nzt,j,i) * qswst(j,i) )
	678	ENDIF
[19]	679	IF ( cloud_physics ) THEN
	680	!
	681	!-- Formula does not work if ql(nzb) /= 0.0
	682	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
	683	qswst(j,i) * rmask(j,i,sr)
	684	ENDIF
	685	ENDIF
	686	IF ( passive_scalar ) THEN
	687	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	688	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[19]	689	ENDIF
	690	ENDIF
	691
	692	!
[1]	693	!-- Resolved fluxes (can be computed for all horizontal points)
[132]	694	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	695	!-- ---- speaking the following k-loop would have to be split up and
	696	!-- rearranged according to the staggered grid.
[132]	697	DO k = nzb_s_inner(j,i), nzt
[1]	698	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	699	u(k+1,j,i) - hom(k+1,1,1,sr) )
	700	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	701	v(k+1,j,i) - hom(k+1,1,2,sr) )
	702	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	703	pt(k+1,j,i) - hom(k+1,1,4,sr) )
[667]	704
[1]	705	!-- Higher moments
	706	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
	707	rmask(j,i,sr)
	708	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
	709	rmask(j,i,sr)
	710
	711	!
[96]	712	!-- Salinity flux and density (density does not belong to here,
[97]	713	!-- but so far there is no other suitable place to calculate)
[96]	714	IF ( ocean ) THEN
[743]	715	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	716	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
[96]	717	sa(k+1,j,i) - hom(k+1,1,23,sr) )
[667]	718	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
[96]	719	rmask(j,i,sr)
[667]	720	ENDIF
[96]	721	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
	722	rmask(j,i,sr)
[388]	723	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
	724	rmask(j,i,sr)
[96]	725	ENDIF
	726
	727	!
[1]	728	!-- Buoyancy flux, water flux, humidity flux and liquid water
	729	!-- content
[75]	730	IF ( humidity ) THEN
[1007]	731	IF ( cloud_physics .OR. cloud_droplets ) THEN
	732	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	733	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	734	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
[1]	735	rmask(j,i,sr)
	736	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
	737	rmask(j,i,sr)
[1007]	738	ELSE
	739	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	740	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	741	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	742	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
	743	rmask(j,i,sr)
	744	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
	745	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * &
	746	sums_l(k,17,tn) + &
	747	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
	748	END IF
	749	END IF
[1]	750	ENDIF
	751	!
	752	!-- Passive scalar flux
[743]	753	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
	754	.OR. sr /= 0 ) ) THEN
[1]	755	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	756	q(k+1,j,i) - hom(k+1,1,41,sr) )
	757	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	758	rmask(j,i,sr)
	759	ENDIF
	760
	761	!
	762	!-- Energy flux we
[667]	763	!-- has to be adjusted
	764	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
	765	( ust2 + vst2 + w(k,j,i)**2 )&
	766	* rmask(j,i,sr)
[1]	767	ENDDO
	768	ENDDO
	769	ENDDO
[709]	770	!
	771	!-- For speed optimization fluxes which have been computed in part directly
	772	!-- inside the WS advection routines are treated seperatly
	773	!-- Momentum fluxes first:
[743]	774	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	775	!$OMP DO
	776	DO i = nxl, nxr
	777	DO j = nys, nyn
	778	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	779	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	780	u(k+1,j,i) - hom(k+1,1,1,sr) )
	781	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	782	v(k+1,j,i) - hom(k+1,1,2,sr) )
[1007]	783	!
[667]	784	!-- Momentum flux wu
	785	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
	786	( w(k,j,i-1) + w(k,j,i) ) &
	787	* ust * rmask(j,i,sr)
	788	!
	789	!-- Momentum flux wv
	790	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
	791	( w(k,j-1,i) + w(k,j,i) ) &
	792	* vst * rmask(j,i,sr)
	793	ENDDO
	794	ENDDO
	795	ENDDO
[1]	796
[667]	797	ENDIF
[743]	798	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	799	!$OMP DO
	800	DO i = nxl, nxr
	801	DO j = nys, nyn
[709]	802	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	803	!
	804	!-- Vertical heat flux
[667]	805	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
	806	( pt(k,j,i) - hom(k,1,4,sr) + &
	807	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
	808	* w(k,j,i) * rmask(j,i,sr)
	809	IF ( humidity ) THEN
	810	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	811	q(k+1,j,i) - hom(k+1,1,41,sr) )
	812	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	813	rmask(j,i,sr)
	814	ENDIF
	815	ENDDO
	816	ENDDO
	817	ENDDO
	818
	819	ENDIF
	820
	821
[1]	822	!
[97]	823	!-- Density at top follows Neumann condition
[388]	824	IF ( ocean ) THEN
	825	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	826	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
	827	ENDIF
[97]	828
	829	!
[1]	830	!-- Divergence of vertical flux of resolved scale energy and pressure
[106]	831	!-- fluctuations as well as flux of pressure fluctuation itself (68).
	832	!-- First calculate the products, then the divergence.
[1]	833	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
[106]	834	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
[1]	835
	836	sums_ll = 0.0 ! local array
	837
	838	!$OMP DO
	839	DO i = nxl, nxr
	840	DO j = nys, nyn
[132]	841	DO k = nzb_s_inner(j,i)+1, nzt
[1]	842
	843	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	844	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
[678]	845	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
[1]	846	) )**2 &
	847	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
[678]	848	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
[1]	849	) )**2 &
	850	+ w(k,j,i)**2 )
	851
	852	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	853	* ( p(k,j,i) + p(k+1,j,i) )
	854
	855	ENDDO
	856	ENDDO
	857	ENDDO
	858	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	859	sums_ll(nzt+1,1) = 0.0
	860	sums_ll(0,2) = 0.0
	861	sums_ll(nzt+1,2) = 0.0
	862
[678]	863	DO k = nzb+1, nzt
[1]	864	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	865	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
[106]	866	sums_l(k,68,tn) = sums_ll(k,2)
[1]	867	ENDDO
	868	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	869	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
[106]	870	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
[1]	871
	872	ENDIF
	873
	874	!
[106]	875	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
	876	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
[1]	877
	878	!$OMP DO
	879	DO i = nxl, nxr
	880	DO j = nys, nyn
[132]	881	DO k = nzb_s_inner(j,i)+1, nzt
[1]	882
[106]	883	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
[1]	884	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	885	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
[106]	886	) * ddzw(k)
[1]	887
[106]	888	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
	889	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	890	)
	891
[1]	892	ENDDO
	893	ENDDO
	894	ENDDO
	895	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
[106]	896	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
[1]	897
	898	ENDIF
	899
	900	!
	901	!-- Horizontal heat fluxes (subgrid, resolved, total).
	902	!-- Do it only, if profiles shall be plotted.
	903	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	904
	905	!$OMP DO
	906	DO i = nxl, nxr
	907	DO j = nys, nyn
[132]	908	DO k = nzb_s_inner(j,i)+1, nzt
[1]	909	!
	910	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	911	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	912	( kh(k,j,i) + kh(k,j,i-1) ) &
	913	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	914	* ddx * rmask(j,i,sr)
	915	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	916	( kh(k,j,i) + kh(k,j-1,i) ) &
	917	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	918	* ddy * rmask(j,i,sr)
	919	!
	920	!-- Resolved horizontal heat fluxes upt, vpt
	921	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	922	( u(k,j,i) - hom(k,1,1,sr) ) &
	923	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	924	pt(k,j,i) - hom(k,1,4,sr) )
	925	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	926	pt(k,j,i) - hom(k,1,4,sr) )
	927	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	928	( v(k,j,i) - hom(k,1,2,sr) ) &
	929	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	930	pt(k,j,i) - hom(k,1,4,sr) )
	931	ENDDO
	932	ENDDO
	933	ENDDO
	934	!
	935	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
[97]	936	sums_l(nzb,58,tn) = 0.0
	937	sums_l(nzb,59,tn) = 0.0
	938	sums_l(nzb,60,tn) = 0.0
	939	sums_l(nzb,61,tn) = 0.0
	940	sums_l(nzb,62,tn) = 0.0
	941	sums_l(nzb,63,tn) = 0.0
[1]	942
	943	ENDIF
[87]	944
	945	!
	946	!-- Calculate the user-defined profiles
	947	CALL user_statistics( 'profiles', sr, tn )
[1]	948	!$OMP END PARALLEL
	949
	950	!
	951	!-- Summation of thread sums
	952	IF ( threads_per_task > 1 ) THEN
	953	DO i = 1, threads_per_task-1
	954	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	955	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
[87]	956	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	957	sums_l(:,45:pr_palm,i)
	958	IF ( max_pr_user > 0 ) THEN
	959	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	960	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	961	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	962	ENDIF
[1]	963	ENDDO
	964	ENDIF
	965
	966	#if defined( __parallel )
[667]	967
[1]	968	!
	969	!-- Compute total sum from local sums
[622]	970	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	971	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	972	MPI_SUM, comm2d, ierr )
	973	#else
	974	sums = sums_l(:,:,0)
	975	#endif
	976
	977	!
	978	!-- Final values are obtained by division by the total number of grid points
	979	!-- used for summation. After that store profiles.
	980	!-- Profiles:
	981	DO k = nzb, nzt+1
[132]	982	sums(k,3) = sums(k,3) / ngp_2dh(sr)
[142]	983	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
[132]	984	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
	985	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
	986	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
[142]	987	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
	988	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
[132]	989	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
	990	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
	991	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
	992	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
	993	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
	994	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
	995	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
[1]	996	ENDDO
[667]	997
[1]	998	!-- Upstream-parts
[87]	999	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
[1]	1000	!-- u* and so on
[87]	1001	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
[1]	1002	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	1003	!-- above the topography, they are being divided by ngp_2dh(sr)
[87]	1004	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
[1]	1005	ngp_2dh(sr)
[197]	1006	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
	1007	ngp_2dh(sr)
[1]	1008	!-- eges, e*
[87]	1009	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
[132]	1010	ngp_3d(sr)
[1]	1011	!-- Old and new divergence
[87]	1012	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
[1]	1013	ngp_3d_inner(sr)
	1014
[87]	1015	!-- User-defined profiles
	1016	IF ( max_pr_user > 0 ) THEN
	1017	DO k = nzb, nzt+1
	1018	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	1019	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
[132]	1020	ngp_2dh_s_inner(k,sr)
[87]	1021	ENDDO
	1022	ENDIF
[1007]	1023
[1]	1024	!
	1025	!-- Collect horizontal average in hom.
	1026	!-- Compute deduced averages (e.g. total heat flux)
	1027	hom(:,1,3,sr) = sums(:,3) ! w
	1028	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	1029	hom(:,1,9,sr) = sums(:,9) ! km
	1030	hom(:,1,10,sr) = sums(:,10) ! kh
	1031	hom(:,1,11,sr) = sums(:,11) ! l
	1032	hom(:,1,12,sr) = sums(:,12) ! w"u"
	1033	hom(:,1,13,sr) = sums(:,13) ! wu
	1034	hom(:,1,14,sr) = sums(:,14) ! w"v"
	1035	hom(:,1,15,sr) = sums(:,15) ! wv
	1036	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	1037	hom(:,1,17,sr) = sums(:,17) ! wpt
	1038	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	1039	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	1040	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	1041	hom(:,1,21,sr) = sums(:,21) ! wptBC
	1042	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
[96]	1043	! profile 24 is initial profile (sa)
	1044	! profiles 25-29 left empty for initial
[1]	1045	! profiles
	1046	hom(:,1,30,sr) = sums(:,30) ! u*2
	1047	hom(:,1,31,sr) = sums(:,31) ! v*2
	1048	hom(:,1,32,sr) = sums(:,32) ! w*2
	1049	hom(:,1,33,sr) = sums(:,33) ! pt*2
	1050	hom(:,1,34,sr) = sums(:,34) ! e*
	1051	hom(:,1,35,sr) = sums(:,35) ! w2pt
	1052	hom(:,1,36,sr) = sums(:,36) ! wpt2
	1053	hom(:,1,37,sr) = sums(:,37) ! we
	1054	hom(:,1,38,sr) = sums(:,38) ! w*3
[699]	1055	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
[1]	1056	hom(:,1,40,sr) = sums(:,40) ! p
[531]	1057	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
[1]	1058	hom(:,1,46,sr) = sums(:,46) ! wvpt
	1059	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	1060	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	1061	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	1062	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	1063	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	1064	hom(:,1,52,sr) = sums(:,52) ! wqv
	1065	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	1066	hom(:,1,54,sr) = sums(:,54) ! ql
	1067	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	1068	hom(:,1,56,sr) = sums(:,56) ! wp/dz
[106]	1069	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
[1]	1070	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	1071	hom(:,1,59,sr) = sums(:,59) ! upt
	1072	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	1073	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	1074	hom(:,1,62,sr) = sums(:,62) ! vpt
	1075	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
[96]	1076	hom(:,1,64,sr) = sums(:,64) ! rho
	1077	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	1078	hom(:,1,66,sr) = sums(:,66) ! wsa
	1079	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
[106]	1080	hom(:,1,68,sr) = sums(:,68) ! wp
	1081	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
[197]	1082	hom(:,1,70,sr) = sums(:,70) ! q*2
[388]	1083	hom(:,1,71,sr) = sums(:,71) ! prho
[531]	1084	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
[1]	1085
[87]	1086	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
[1]	1087	! upstream-parts u_x, u_y, u_z, v_x,
	1088	! v_y, usw. (in last but one profile)
[667]	1089	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
[1]	1090	! u, w'u', w'v', t (in last profile)
	1091
[87]	1092	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	1093	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	1094	sums(:,pr_palm+1:pr_palm+max_pr_user)
	1095	ENDIF
	1096
[1]	1097	!
	1098	!-- Determine the boundary layer height using two different schemes.
[94]	1099	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	1100	!-- first relative minimum (maximum) of the total heat flux.
	1101	!-- The corresponding height is assumed as the boundary layer height, if it
	1102	!-- is less than 1.5 times the height where the heat flux becomes negative
	1103	!-- (positive) for the first time.
[1]	1104	z_i(1) = 0.0
	1105	first = .TRUE.
[667]	1106
[97]	1107	IF ( ocean ) THEN
	1108	DO k = nzt, nzb+1, -1
[667]	1109	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1110	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
[97]	1111	first = .FALSE.
	1112	height = zw(k)
	1113	ENDIF
	1114	IF ( hom(k,1,18,sr) < 0.0 .AND. &
[667]	1115	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[97]	1116	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1117	IF ( zw(k) < 1.5 * height ) THEN
	1118	z_i(1) = zw(k)
	1119	ELSE
	1120	z_i(1) = height
	1121	ENDIF
	1122	EXIT
	1123	ENDIF
	1124	ENDDO
	1125	ELSE
[94]	1126	DO k = nzb, nzt-1
[667]	1127	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1128	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
[94]	1129	first = .FALSE.
	1130	height = zw(k)
[1]	1131	ENDIF
[667]	1132	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	1133	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[94]	1134	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1135	IF ( zw(k) < 1.5 * height ) THEN
	1136	z_i(1) = zw(k)
	1137	ELSE
	1138	z_i(1) = height
	1139	ENDIF
	1140	EXIT
	1141	ENDIF
	1142	ENDDO
[97]	1143	ENDIF
[1]	1144
	1145	!
[291]	1146	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
	1147	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
	1148	!-- maximal local temperature gradient: starting from the second (the last
	1149	!-- but one) vertical gridpoint, the local gradient must be at least
	1150	!-- 0.2K/100m and greater than the next four gradients.
	1151	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
	1152	!-- ocean case!
[1]	1153	z_i(2) = 0.0
[291]	1154	DO k = nzb+1, nzt+1
	1155	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
	1156	ENDDO
	1157	dptdz_threshold = 0.2 / 100.0
	1158
[97]	1159	IF ( ocean ) THEN
[291]	1160	DO k = nzt+1, nzb+5, -1
	1161	IF ( dptdz(k) > dptdz_threshold .AND. &
	1162	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
	1163	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
	1164	z_i(2) = zw(k-1)
[97]	1165	EXIT
	1166	ENDIF
	1167	ENDDO
	1168	ELSE
[291]	1169	DO k = nzb+1, nzt-3
	1170	IF ( dptdz(k) > dptdz_threshold .AND. &
	1171	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
	1172	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
	1173	z_i(2) = zw(k-1)
[97]	1174	EXIT
	1175	ENDIF
	1176	ENDDO
	1177	ENDIF
[1]	1178
[87]	1179	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	1180	hom(nzb+7,1,pr_palm,sr) = z_i(2)
[1]	1181
	1182	!
	1183	!-- Computation of both the characteristic vertical velocity and
	1184	!-- the characteristic convective boundary layer temperature.
	1185	!-- The horizontal average at nzb+1 is input for the average temperature.
[667]	1186	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
	1187	.AND. z_i(1) /= 0.0 ) THEN
[87]	1188	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
[94]	1189	hom(nzb,1,18,sr) * &
	1190	ABS( z_i(1) ) )**0.333333333
[1]	1191	!-- so far this only works if Prandtl layer is used
[87]	1192	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
[1]	1193	ELSE
[87]	1194	hom(nzb+8,1,pr_palm,sr) = 0.0
	1195	hom(nzb+11,1,pr_palm,sr) = 0.0
[1]	1196	ENDIF
	1197
[48]	1198	!
	1199	!-- Collect the time series quantities
[87]	1200	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	1201	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
[48]	1202	ts_value(3,sr) = dt_3d
[87]	1203	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	1204	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
[48]	1205	ts_value(6,sr) = u_max
	1206	ts_value(7,sr) = v_max
	1207	ts_value(8,sr) = w_max
[87]	1208	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	1209	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	1210	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	1211	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	1212	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
[48]	1213	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	1214	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	1215	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	1216	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	1217	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
[197]	1218	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
	1219	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
[343]	1220	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
[197]	1221
[48]	1222	IF ( ts_value(5,sr) /= 0.0 ) THEN
	1223	ts_value(22,sr) = ts_value(4,sr)**2 / &
	1224	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	1225	ELSE
	1226	ts_value(22,sr) = 10000.0
	1227	ENDIF
[1]	1228
[343]	1229	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
[1]	1230	!
[48]	1231	!-- Calculate additional statistics provided by the user interface
[87]	1232	CALL user_statistics( 'time_series', sr, 0 )
[1]	1233
[48]	1234	ENDDO ! loop of the subregions
	1235
[1]	1236	!
	1237	!-- If required, sum up horizontal averages for subsequent time averaging
	1238	IF ( do_sum ) THEN
	1239	IF ( average_count_pr == 0 ) hom_sum = 0.0
	1240	hom_sum = hom_sum + hom(:,1,:,:)
	1241	average_count_pr = average_count_pr + 1
	1242	do_sum = .FALSE.
	1243	ENDIF
	1244
	1245	!
	1246	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	1247	!-- This flag is reset after each time step in time_integration.
	1248	flow_statistics_called = .TRUE.
	1249
	1250	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	1251
	1252
	1253	END SUBROUTINE flow_statistics

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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1007

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