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source: palm/trunk/SOURCE/flow_statistics.f90 @ 1016

Last change on this file since 1016 was 1008, checked in by franke, 12 years ago
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[1]	1	SUBROUTINE flow_statistics
	2
	3	!------------------------------------------------------------------------------!
[254]	4	! Current revisions:
[1]	5	! -----------------
[1008]	6	!
	7	!
	8	! Former revisions:
	9	! -----------------
	10	! $Id: flow_statistics.f90 1008 2012-09-19 14:49:14Z raasch $
	11	!
	12	! 1007 2012-09-19 14:30:36Z franke
[1007]	13	! Calculation of buoyancy flux for humidity in case of WS-scheme is now using
	14	! turbulent fluxes of WS-scheme
	15	! Bugfix: Calculation of subgridscale buoyancy flux for humidity and cloud
	16	! droplets at nzb and nzt added
[700]	17	!
[802]	18	! 801 2012-01-10 17:30:36Z suehring
	19	! Calculation of turbulent fluxes in advec_ws is now thread-safe.
	20	!
[744]	21	! 743 2011-08-18 16:10:16Z suehring
	22	! Calculation of turbulent fluxes with WS-scheme only for the whole model
	23	! domain, not for user-defined subregions.
	24	!
[710]	25	! 709 2011-03-30 09:31:40Z raasch
	26	! formatting adjustments
	27	!
[700]	28	! 699 2011-03-22 17:52:22Z suehring
[699]	29	! Bugfix in calculation of vertical velocity skewness. The added absolute value
	30	! avoid negative values in the root. Negative values of w'w' can occur at the
	31	! top or bottom of the model domain due to degrading the order of advection
	32	! scheme. Furthermore the calculation will be the same for all advection
	33	! schemes.
[392]	34	!
[697]	35	! 696 2011-03-18 07:03:49Z raasch
	36	! Bugfix: Summation of Wicker-Skamarock scheme fluxes and variances for all
	37	! threads
	38	!
[679]	39	! 678 2011-02-02 14:31:56Z raasch
	40	! Bugfix in calculation of the divergence of vertical flux of resolved scale
	41	! energy, pressure fluctuations, and flux of pressure fluctuation itself
	42	!
[674]	43	! 673 2011-01-18 16:19:48Z suehring
	44	! Top bc for the horizontal velocity variances added for ocean runs.
	45	! Setting the corresponding bottom bc moved to advec_ws.
	46	!
[668]	47	! 667 2010-12-23 12:06:00Z suehring/gryschka
	48	! When advection is computed with ws-scheme, turbulent fluxes are already
	49	! computed in the respective advection routines and buffered in arrays
	50	! sums_xx_ws_l(). This is due to a consistent treatment of statistics with the
	51	! numerics and to avoid unphysical kinks near the surface.
	52	! So some if requests has to be done to dicern between fluxes from ws-scheme
	53	! other advection schemes.
	54	! Furthermore the computation of z_i is only done if the heat flux exceeds a
	55	! minimum value. This affects only simulations of a neutral boundary layer and
	56	! is due to reasons of computations in the advection scheme.
	57	!
[625]	58	! 624 2010-12-10 11:46:30Z heinze
	59	! Calculation of q*2 added
	60	!
[623]	61	! 622 2010-12-10 08:08:13Z raasch
	62	! optional barriers included in order to speed up collective operations
	63	!
[392]	64	! 388 2009-09-23 09:40:33Z raasch
[388]	65	! Vertical profiles of potential density and hydrostatic pressure are
	66	! calculated.
[343]	67	! Added missing timeseries calculation of w"q"(0), moved timeseries q* to the
	68	! end.
[291]	69	! Temperature gradient criterion for estimating the boundary layer height
	70	! replaced by the gradient criterion of Sullivan et al. (1998).
[254]	71	! Output of messages replaced by message handling routine.
[1]	72	!
[198]	73	! 197 2008-09-16 15:29:03Z raasch
	74	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
	75	! added,
	76	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
	77	! (like other scalars)
	78	!
[139]	79	! 133 2007-11-20 10:10:53Z letzel
	80	! Vertical profiles now based on nzb_s_inner; they are divided by
	81	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
	82	! velocity components and their products, procucts of scalars and velocity
	83	! components), respectively.
	84	!
[110]	85	! 106 2007-08-16 14:30:26Z raasch
	86	! Prescribed momentum fluxes at the top surface are used,
	87	! profiles for wp and w"e are calculated
	88	!
[98]	89	! 97 2007-06-21 08:23:15Z raasch
	90	! Statistics for ocean version (salinity, density) added,
	91	! calculation of z_i and Deardorff velocity scale adjusted to be used with
	92	! the ocean version
	93	!
[90]	94	! 87 2007-05-22 15:46:47Z raasch
	95	! Two more arguments added to user_statistics, which is now also called for
	96	! user-defined profiles,
	97	! var_hom and var_sum renamed pr_palm
	98	!
[83]	99	! 82 2007-04-16 15:40:52Z raasch
	100	! Cpp-directive lcmuk changed to intel_openmp_bug
	101	!
[77]	102	! 75 2007-03-22 09:54:05Z raasch
	103	! Collection of time series quantities moved from routine flow_statistics to
	104	! here, routine user_statistics is called for each statistic region,
	105	! moisture renamed humidity
	106	!
[39]	107	! 19 2007-02-23 04:53:48Z raasch
[77]	108	! fluxes at top modified (tswst, qswst)
[39]	109	!
[3]	110	! RCS Log replace by Id keyword, revision history cleaned up
	111	!
[1]	112	! Revision 1.41 2006/08/04 14:37:50 raasch
	113	! Error removed in non-parallel part (sums_l)
	114	!
	115	! Revision 1.1 1997/08/11 06:15:17 raasch
	116	! Initial revision
	117	!
	118	!
	119	! Description:
	120	! ------------
	121	! Compute average profiles and further average flow quantities for the different
	122	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
	123	!
[132]	124	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
	125	! ---- lower vertical index for k-loops for all variables, although strictly
	126	! speaking the k-loops would have to be split up according to the staggered
	127	! grid. However, this implies no error since staggered velocity components are
	128	! zero at the walls and inside buildings.
[1]	129	!------------------------------------------------------------------------------!
	130
	131	USE arrays_3d
	132	USE cloud_parameters
[709]	133	USE control_parameters
[1]	134	USE cpulog
	135	USE grid_variables
	136	USE indices
	137	USE interfaces
	138	USE pegrid
	139	USE statistics
	140
	141	IMPLICIT NONE
	142
	143	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
	144	LOGICAL :: first
[291]	145	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
	146	ust2, u2, vst, vst2, v2, w2, z_i(2)
	147	REAL :: dptdz(nzb+1:nzt+1)
[1]	148	REAL :: sums_ll(nzb:nzt+1,2)
	149
	150	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
	151
	152	!
	153	!-- To be on the safe side, check whether flow_statistics has already been
	154	!-- called once after the current time step
	155	IF ( flow_statistics_called ) THEN
[254]	156
[274]	157	message_string = 'flow_statistics is called two times within one ' // &
	158	'timestep'
[254]	159	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
[1007]	160
[1]	161	ENDIF
	162
	163	!
	164	!-- Compute statistics for each (sub-)region
	165	DO sr = 0, statistic_regions
	166
	167	!
	168	!-- Initialize (local) summation array
	169	sums_l = 0.0
	170
	171	!
	172	!-- Store sums that have been computed in other subroutines in summation
	173	!-- array
	174	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
	175	!-- WARNING: next line still has to be adjusted for OpenMP
	176	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
[87]	177	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
	178	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
[1]	179
[667]	180	!
	181	!-- Copy the turbulent quantities, evaluated in the advection routines to
	182	!-- the local array sums_l() for further computations
[743]	183	IF ( ws_scheme_mom .AND. sr == 0 ) THEN
[696]	184
[1007]	185	!
[673]	186	!-- According to the Neumann bc for the horizontal velocity components,
	187	!-- the corresponding fluxes has to satisfiy the same bc.
	188	IF ( ocean ) THEN
[801]	189	sums_us2_ws_l(nzt+1,:) = sums_us2_ws_l(nzt,:)
[1007]	190	sums_vs2_ws_l(nzt+1,:) = sums_vs2_ws_l(nzt,:)
[673]	191	ENDIF
[696]	192
	193	DO i = 0, threads_per_task-1
[1007]	194	!
[696]	195	!-- Swap the turbulent quantities evaluated in advec_ws.
[801]	196	sums_l(:,13,i) = sums_wsus_ws_l(:,i) ! wu
	197	sums_l(:,15,i) = sums_wsvs_ws_l(:,i) ! wv
	198	sums_l(:,30,i) = sums_us2_ws_l(:,i) ! u*2
	199	sums_l(:,31,i) = sums_vs2_ws_l(:,i) ! v*2
	200	sums_l(:,32,i) = sums_ws2_ws_l(:,i) ! w*2
[696]	201	sums_l(:,34,i) = sums_l(:,34,i) + 0.5 * &
[801]	202	( sums_us2_ws_l(:,i) + sums_vs2_ws_l(:,i) + &
	203	sums_ws2_ws_l(:,i) ) ! e*
[696]	204	DO k = nzb, nzt
[801]	205	sums_l(nzb+5,pr_palm,i) = sums_l(nzb+5,pr_palm,i) + 0.5 * ( &
	206	sums_us2_ws_l(k,i) + &
	207	sums_vs2_ws_l(k,i) + &
	208	sums_ws2_ws_l(k,i) )
[696]	209	ENDDO
[667]	210	ENDDO
[696]	211
[667]	212	ENDIF
[696]	213
[743]	214	IF ( ws_scheme_sca .AND. sr == 0 ) THEN
[696]	215
	216	DO i = 0, threads_per_task-1
[801]	217	sums_l(:,17,i) = sums_wspts_ws_l(:,i) ! wpt from advec_s_ws
	218	IF ( ocean ) sums_l(:,66,i) = sums_wssas_ws_l(:,i) ! wsa
[696]	219	IF ( humidity .OR. passive_scalar ) sums_l(:,49,i) = &
[801]	220	sums_wsqs_ws_l(:,i) !wq
[696]	221	ENDDO
	222
[667]	223	ENDIF
[305]	224	!
[1]	225	!-- Horizontally averaged profiles of horizontal velocities and temperature.
	226	!-- They must have been computed before, because they are already required
	227	!-- for other horizontal averages.
	228	tn = 0
[667]	229
[1]	230	!$OMP PARALLEL PRIVATE( i, j, k, tn )
[82]	231	#if defined( __intel_openmp_bug )
[1]	232	tn = omp_get_thread_num()
	233	#else
	234	!$ tn = omp_get_thread_num()
	235	#endif
	236
	237	!$OMP DO
	238	DO i = nxl, nxr
	239	DO j = nys, nyn
[132]	240	DO k = nzb_s_inner(j,i), nzt+1
[1]	241	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
	242	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
	243	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
	244	ENDDO
	245	ENDDO
	246	ENDDO
	247
	248	!
[96]	249	!-- Horizontally averaged profile of salinity
	250	IF ( ocean ) THEN
	251	!$OMP DO
	252	DO i = nxl, nxr
	253	DO j = nys, nyn
[132]	254	DO k = nzb_s_inner(j,i), nzt+1
[96]	255	sums_l(k,23,tn) = sums_l(k,23,tn) + &
	256	sa(k,j,i) * rmask(j,i,sr)
	257	ENDDO
	258	ENDDO
	259	ENDDO
	260	ENDIF
	261
	262	!
[1]	263	!-- Horizontally averaged profiles of virtual potential temperature,
	264	!-- total water content, specific humidity and liquid water potential
	265	!-- temperature
[75]	266	IF ( humidity ) THEN
[1]	267	!$OMP DO
	268	DO i = nxl, nxr
	269	DO j = nys, nyn
[132]	270	DO k = nzb_s_inner(j,i), nzt+1
[1]	271	sums_l(k,44,tn) = sums_l(k,44,tn) + &
	272	vpt(k,j,i) * rmask(j,i,sr)
	273	sums_l(k,41,tn) = sums_l(k,41,tn) + &
	274	q(k,j,i) * rmask(j,i,sr)
	275	ENDDO
	276	ENDDO
	277	ENDDO
	278	IF ( cloud_physics ) THEN
	279	!$OMP DO
	280	DO i = nxl, nxr
	281	DO j = nys, nyn
[132]	282	DO k = nzb_s_inner(j,i), nzt+1
[1]	283	sums_l(k,42,tn) = sums_l(k,42,tn) + &
	284	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
	285	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
	286	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
	287	) * rmask(j,i,sr)
	288	ENDDO
	289	ENDDO
	290	ENDDO
	291	ENDIF
	292	ENDIF
	293
	294	!
	295	!-- Horizontally averaged profiles of passive scalar
	296	IF ( passive_scalar ) THEN
	297	!$OMP DO
	298	DO i = nxl, nxr
	299	DO j = nys, nyn
[132]	300	DO k = nzb_s_inner(j,i), nzt+1
[1]	301	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
	302	ENDDO
	303	ENDDO
	304	ENDDO
	305	ENDIF
	306	!$OMP END PARALLEL
	307	!
	308	!-- Summation of thread sums
	309	IF ( threads_per_task > 1 ) THEN
	310	DO i = 1, threads_per_task-1
	311	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
	312	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
	313	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
[96]	314	IF ( ocean ) THEN
	315	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
	316	ENDIF
[75]	317	IF ( humidity ) THEN
[1]	318	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	319	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
	320	IF ( cloud_physics ) THEN
	321	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
	322	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
	323	ENDIF
	324	ENDIF
	325	IF ( passive_scalar ) THEN
	326	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	327	ENDIF
	328	ENDDO
	329	ENDIF
	330
	331	#if defined( __parallel )
	332	!
	333	!-- Compute total sum from local sums
[622]	334	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	335	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), 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,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
	339	MPI_SUM, comm2d, ierr )
[622]	340	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	341	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
	342	MPI_SUM, comm2d, ierr )
[96]	343	IF ( ocean ) THEN
[622]	344	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[96]	345	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
	346	MPI_REAL, MPI_SUM, comm2d, ierr )
	347	ENDIF
[75]	348	IF ( humidity ) THEN
[622]	349	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	350	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
	351	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	352	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	353	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	354	MPI_REAL, MPI_SUM, comm2d, ierr )
	355	IF ( cloud_physics ) THEN
[622]	356	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	357	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
	358	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	359	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	360	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
	361	MPI_REAL, MPI_SUM, comm2d, ierr )
	362	ENDIF
	363	ENDIF
	364
	365	IF ( passive_scalar ) THEN
[622]	366	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	367	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	368	MPI_REAL, MPI_SUM, comm2d, ierr )
	369	ENDIF
	370	#else
	371	sums(:,1) = sums_l(:,1,0)
	372	sums(:,2) = sums_l(:,2,0)
	373	sums(:,4) = sums_l(:,4,0)
[96]	374	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
[75]	375	IF ( humidity ) THEN
[1]	376	sums(:,44) = sums_l(:,44,0)
	377	sums(:,41) = sums_l(:,41,0)
	378	IF ( cloud_physics ) THEN
	379	sums(:,42) = sums_l(:,42,0)
	380	sums(:,43) = sums_l(:,43,0)
	381	ENDIF
	382	ENDIF
	383	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
	384	#endif
	385
	386	!
	387	!-- Final values are obtained by division by the total number of grid points
	388	!-- used for summation. After that store profiles.
[132]	389	sums(:,1) = sums(:,1) / ngp_2dh(sr)
	390	sums(:,2) = sums(:,2) / ngp_2dh(sr)
	391	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
[1]	392	hom(:,1,1,sr) = sums(:,1) ! u
	393	hom(:,1,2,sr) = sums(:,2) ! v
	394	hom(:,1,4,sr) = sums(:,4) ! pt
	395
[667]	396
[1]	397	!
[96]	398	!-- Salinity
	399	IF ( ocean ) THEN
[132]	400	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
[96]	401	hom(:,1,23,sr) = sums(:,23) ! sa
	402	ENDIF
	403
	404	!
[1]	405	!-- Humidity and cloud parameters
[75]	406	IF ( humidity ) THEN
[132]	407	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
	408	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
[1]	409	hom(:,1,44,sr) = sums(:,44) ! vpt
	410	hom(:,1,41,sr) = sums(:,41) ! qv (q)
	411	IF ( cloud_physics ) THEN
[132]	412	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
	413	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
[1]	414	hom(:,1,42,sr) = sums(:,42) ! qv
	415	hom(:,1,43,sr) = sums(:,43) ! pt
	416	ENDIF
	417	ENDIF
	418
	419	!
	420	!-- Passive scalar
[132]	421	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
	422	ngp_2dh_s_inner(:,sr) ! s (q)
[1]	423
	424	!
	425	!-- Horizontally averaged profiles of the remaining prognostic variables,
	426	!-- variances, the total and the perturbation energy (single values in last
	427	!-- column of sums_l) and some diagnostic quantities.
[132]	428	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	429	!-- ---- speaking the following k-loop would have to be split up and
	430	!-- rearranged according to the staggered grid.
[132]	431	!-- However, this implies no error since staggered velocity components
	432	!-- are zero at the walls and inside buildings.
[1]	433	tn = 0
[82]	434	#if defined( __intel_openmp_bug )
[1]	435	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
	436	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
	437	tn = omp_get_thread_num()
	438	#else
	439	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
	440	!$ tn = omp_get_thread_num()
	441	#endif
	442	!$OMP DO
	443	DO i = nxl, nxr
	444	DO j = nys, nyn
	445	sums_l_etot = 0.0
[132]	446	DO k = nzb_s_inner(j,i), nzt+1
[1]	447	!
	448	!-- Prognostic and diagnostic variables
	449	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
	450	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
	451	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
	452	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
	453	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
	454
	455	sums_l(k,33,tn) = sums_l(k,33,tn) + &
	456	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
[624]	457
	458	IF ( humidity ) THEN
	459	sums_l(k,70,tn) = sums_l(k,70,tn) + &
	460	( q(k,j,i)-hom(k,1,41,sr) )*2 rmask(j,i,sr)
	461	ENDIF
[1007]	462
[699]	463	!
	464	!-- Higher moments
	465	!-- (Computation of the skewness of w further below)
	466	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i)*3 rmask(j,i,sr)
[667]	467
[1]	468	sums_l_etot = sums_l_etot + &
[667]	469	0.5 * ( u(k,j,i)2 + v(k,j,i)2 + &
	470	w(k,j,i)*2 ) rmask(j,i,sr)
[1]	471	ENDDO
	472	!
	473	!-- Total and perturbation energy for the total domain (being
	474	!-- collected in the last column of sums_l). Summation of these
	475	!-- quantities is seperated from the previous loop in order to
	476	!-- allow vectorization of that loop.
[87]	477	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
[1]	478	!
	479	!-- 2D-arrays (being collected in the last column of sums_l)
[87]	480	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
[1]	481	us(j,i) * rmask(j,i,sr)
[87]	482	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
[1]	483	usws(j,i) * rmask(j,i,sr)
[87]	484	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
[1]	485	vsws(j,i) * rmask(j,i,sr)
[87]	486	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
[1]	487	ts(j,i) * rmask(j,i,sr)
[197]	488	IF ( humidity ) THEN
	489	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
	490	qs(j,i) * rmask(j,i,sr)
	491	ENDIF
[1]	492	ENDDO
	493	ENDDO
	494
	495	!
[667]	496	!-- Computation of statistics when ws-scheme is not used. Else these
	497	!-- quantities are evaluated in the advection routines.
[743]	498	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	499	!$OMP DO
	500	DO i = nxl, nxr
	501	DO j = nys, nyn
	502	sums_l_eper = 0.0
	503	DO k = nzb_s_inner(j,i), nzt+1
	504	u2 = u(k,j,i)**2
	505	v2 = v(k,j,i)**2
	506	w2 = w(k,j,i)**2
	507	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
	508	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
	509
	510	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
	511	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
	512	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
	513	!
	514	!-- Perturbation energy
	515
	516	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * &
	517	( ust2 + vst2 + w2 ) * rmask(j,i,sr)
	518	sums_l_eper = sums_l_eper + &
	519	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
	520
	521	ENDDO
	522	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) &
	523	+ sums_l_eper
	524	ENDDO
	525	ENDDO
	526	ENDIF
	527	!
[1]	528	!-- Horizontally averaged profiles of the vertical fluxes
[667]	529
[1]	530	!$OMP DO
	531	DO i = nxl, nxr
	532	DO j = nys, nyn
	533	!
	534	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
	535	!-- oterwise from k=nzb+1)
[132]	536	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
[1]	537	!-- ---- strictly speaking the following k-loop would have to be
	538	!-- split up according to the staggered grid.
[132]	539	!-- However, this implies no error since staggered velocity
	540	!-- components are zero at the walls and inside buildings.
	541
	542	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
[1]	543	!
	544	!-- Momentum flux w"u"
	545	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
	546	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
	547	) * ( &
	548	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	549	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	550	) * rmask(j,i,sr)
	551	!
	552	!-- Momentum flux w"v"
	553	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
	554	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
	555	) * ( &
	556	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	557	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	558	) * rmask(j,i,sr)
	559	!
	560	!-- Heat flux w"pt"
	561	sums_l(k,16,tn) = sums_l(k,16,tn) &
	562	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	563	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	564	* ddzu(k+1) * rmask(j,i,sr)
	565
	566
	567	!
[96]	568	!-- Salinity flux w"sa"
	569	IF ( ocean ) THEN
	570	sums_l(k,65,tn) = sums_l(k,65,tn) &
	571	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	572	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	573	* ddzu(k+1) * rmask(j,i,sr)
	574	ENDIF
	575
	576	!
[1]	577	!-- Buoyancy flux, water flux (humidity flux) w"q"
[75]	578	IF ( humidity ) THEN
[1]	579	sums_l(k,45,tn) = sums_l(k,45,tn) &
	580	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	581	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	582	* ddzu(k+1) * rmask(j,i,sr)
	583	sums_l(k,48,tn) = sums_l(k,48,tn) &
	584	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	585	* ( q(k+1,j,i) - q(k,j,i) ) &
	586	* ddzu(k+1) * rmask(j,i,sr)
[1007]	587
[1]	588	IF ( cloud_physics ) THEN
	589	sums_l(k,51,tn) = sums_l(k,51,tn) &
	590	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	591	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
	592	- ( q(k,j,i) - ql(k,j,i) ) ) &
	593	* ddzu(k+1) * rmask(j,i,sr)
	594	ENDIF
	595	ENDIF
	596
	597	!
	598	!-- Passive scalar flux
	599	IF ( passive_scalar ) THEN
	600	sums_l(k,48,tn) = sums_l(k,48,tn) &
	601	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	602	* ( q(k+1,j,i) - q(k,j,i) ) &
	603	* ddzu(k+1) * rmask(j,i,sr)
	604	ENDIF
	605
	606	ENDDO
	607
	608	!
	609	!-- Subgridscale fluxes in the Prandtl layer
	610	IF ( use_surface_fluxes ) THEN
	611	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
	612	usws(j,i) * rmask(j,i,sr) ! w"u"
	613	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
	614	vsws(j,i) * rmask(j,i,sr) ! w"v"
	615	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
	616	shf(j,i) * rmask(j,i,sr) ! w"pt"
	617	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
	618	0.0 * rmask(j,i,sr) ! u"pt"
	619	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
	620	0.0 * rmask(j,i,sr) ! v"pt"
[96]	621	IF ( ocean ) THEN
	622	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
	623	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	624	ENDIF
[75]	625	IF ( humidity ) THEN
[1]	626	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	627	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	628	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	629	( 1.0 + 0.61 * q(nzb,j,i) ) * &
	630	shf(j,i) + 0.61 * pt(nzb,j,i) * &
	631	qsws(j,i) )
	632	IF ( cloud_droplets ) THEN
	633	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	634	( 1.0 + 0.61 * q(nzb,j,i) - &
	635	ql(nzb,j,i) ) * shf(j,i) + &
	636	0.61 * pt(nzb,j,i) * qsws(j,i) )
	637	ENDIF
[1]	638	IF ( cloud_physics ) THEN
	639	!
	640	!-- Formula does not work if ql(nzb) /= 0.0
	641	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
	642	qsws(j,i) * rmask(j,i,sr)
	643	ENDIF
	644	ENDIF
	645	IF ( passive_scalar ) THEN
	646	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	647	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	648	ENDIF
	649	ENDIF
	650
	651	!
[19]	652	!-- Subgridscale fluxes at the top surface
	653	IF ( use_top_fluxes ) THEN
[550]	654	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
[102]	655	uswst(j,i) * rmask(j,i,sr) ! w"u"
[550]	656	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
[102]	657	vswst(j,i) * rmask(j,i,sr) ! w"v"
[550]	658	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
[19]	659	tswst(j,i) * rmask(j,i,sr) ! w"pt"
[550]	660	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
[19]	661	0.0 * rmask(j,i,sr) ! u"pt"
[550]	662	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
	663	0.0 * rmask(j,i,sr) ! v"pt"
	664
[96]	665	IF ( ocean ) THEN
	666	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
	667	saswst(j,i) * rmask(j,i,sr) ! w"sa"
	668	ENDIF
[75]	669	IF ( humidity ) THEN
[19]	670	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	671	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[1007]	672	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	673	( 1.0 + 0.61 * q(nzt,j,i) ) * &
	674	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
	675	qswst(j,i) )
	676	IF ( cloud_droplets ) THEN
	677	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	678	( 1.0 + 0.61 * q(nzt,j,i) - &
	679	ql(nzt,j,i) ) * tswst(j,i) + &
	680	0.61 * pt(nzt,j,i) * qswst(j,i) )
	681	ENDIF
[19]	682	IF ( cloud_physics ) THEN
	683	!
	684	!-- Formula does not work if ql(nzb) /= 0.0
	685	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
	686	qswst(j,i) * rmask(j,i,sr)
	687	ENDIF
	688	ENDIF
	689	IF ( passive_scalar ) THEN
	690	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	691	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[19]	692	ENDIF
	693	ENDIF
	694
	695	!
[1]	696	!-- Resolved fluxes (can be computed for all horizontal points)
[132]	697	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	698	!-- ---- speaking the following k-loop would have to be split up and
	699	!-- rearranged according to the staggered grid.
[132]	700	DO k = nzb_s_inner(j,i), nzt
[1]	701	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	702	u(k+1,j,i) - hom(k+1,1,1,sr) )
	703	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	704	v(k+1,j,i) - hom(k+1,1,2,sr) )
	705	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	706	pt(k+1,j,i) - hom(k+1,1,4,sr) )
[667]	707
[1]	708	!-- Higher moments
	709	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
	710	rmask(j,i,sr)
	711	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
	712	rmask(j,i,sr)
	713
	714	!
[96]	715	!-- Salinity flux and density (density does not belong to here,
[97]	716	!-- but so far there is no other suitable place to calculate)
[96]	717	IF ( ocean ) THEN
[743]	718	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	719	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
[96]	720	sa(k+1,j,i) - hom(k+1,1,23,sr) )
[667]	721	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
[96]	722	rmask(j,i,sr)
[667]	723	ENDIF
[96]	724	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
	725	rmask(j,i,sr)
[388]	726	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
	727	rmask(j,i,sr)
[96]	728	ENDIF
	729
	730	!
[1]	731	!-- Buoyancy flux, water flux, humidity flux and liquid water
	732	!-- content
[75]	733	IF ( humidity ) THEN
[1007]	734	IF ( cloud_physics .OR. cloud_droplets ) THEN
	735	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	736	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	737	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
[1]	738	rmask(j,i,sr)
	739	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
	740	rmask(j,i,sr)
[1007]	741	ELSE
	742	IF( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
	743	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	744	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	745	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
	746	rmask(j,i,sr)
	747	ELSE IF ( ws_scheme_sca .AND. sr == 0 ) THEN
	748	sums_l(k,46,tn) = ( 1.0 + 0.61 * hom(k,1,41,sr) ) * &
	749	sums_l(k,17,tn) + &
	750	0.61 * hom(k,1,4,sr) * sums_l(k,49,tn)
	751	END IF
	752	END IF
[1]	753	ENDIF
	754	!
	755	!-- Passive scalar flux
[743]	756	IF ( passive_scalar .AND. ( .NOT. ws_scheme_sca &
	757	.OR. sr /= 0 ) ) THEN
[1]	758	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	759	q(k+1,j,i) - hom(k+1,1,41,sr) )
	760	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	761	rmask(j,i,sr)
	762	ENDIF
	763
	764	!
	765	!-- Energy flux we
[667]	766	!-- has to be adjusted
	767	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
	768	( ust2 + vst2 + w(k,j,i)**2 )&
	769	* rmask(j,i,sr)
[1]	770	ENDDO
	771	ENDDO
	772	ENDDO
[709]	773	!
	774	!-- For speed optimization fluxes which have been computed in part directly
	775	!-- inside the WS advection routines are treated seperatly
	776	!-- Momentum fluxes first:
[743]	777	IF ( .NOT. ws_scheme_mom .OR. sr /= 0 ) THEN
[667]	778	!$OMP DO
	779	DO i = nxl, nxr
	780	DO j = nys, nyn
	781	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	782	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	783	u(k+1,j,i) - hom(k+1,1,1,sr) )
	784	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	785	v(k+1,j,i) - hom(k+1,1,2,sr) )
[1007]	786	!
[667]	787	!-- Momentum flux wu
	788	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
	789	( w(k,j,i-1) + w(k,j,i) ) &
	790	* ust * rmask(j,i,sr)
	791	!
	792	!-- Momentum flux wv
	793	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
	794	( w(k,j-1,i) + w(k,j,i) ) &
	795	* vst * rmask(j,i,sr)
	796	ENDDO
	797	ENDDO
	798	ENDDO
[1]	799
[667]	800	ENDIF
[743]	801	IF ( .NOT. ws_scheme_sca .OR. sr /= 0 ) THEN
[667]	802	!$OMP DO
	803	DO i = nxl, nxr
	804	DO j = nys, nyn
[709]	805	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
	806	!
	807	!-- Vertical heat flux
[667]	808	sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
	809	( pt(k,j,i) - hom(k,1,4,sr) + &
	810	pt(k+1,j,i) - hom(k+1,1,4,sr) ) &
	811	* w(k,j,i) * rmask(j,i,sr)
	812	IF ( humidity ) THEN
	813	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	814	q(k+1,j,i) - hom(k+1,1,41,sr) )
	815	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	816	rmask(j,i,sr)
	817	ENDIF
	818	ENDDO
	819	ENDDO
	820	ENDDO
	821
	822	ENDIF
	823
	824
[1]	825	!
[97]	826	!-- Density at top follows Neumann condition
[388]	827	IF ( ocean ) THEN
	828	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	829	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
	830	ENDIF
[97]	831
	832	!
[1]	833	!-- Divergence of vertical flux of resolved scale energy and pressure
[106]	834	!-- fluctuations as well as flux of pressure fluctuation itself (68).
	835	!-- First calculate the products, then the divergence.
[1]	836	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
[106]	837	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
[1]	838
	839	sums_ll = 0.0 ! local array
	840
	841	!$OMP DO
	842	DO i = nxl, nxr
	843	DO j = nys, nyn
[132]	844	DO k = nzb_s_inner(j,i)+1, nzt
[1]	845
	846	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	847	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
[678]	848	- 0.5 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
[1]	849	) )**2 &
	850	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
[678]	851	- 0.5 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
[1]	852	) )**2 &
	853	+ w(k,j,i)**2 )
	854
	855	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	856	* ( p(k,j,i) + p(k+1,j,i) )
	857
	858	ENDDO
	859	ENDDO
	860	ENDDO
	861	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	862	sums_ll(nzt+1,1) = 0.0
	863	sums_ll(0,2) = 0.0
	864	sums_ll(nzt+1,2) = 0.0
	865
[678]	866	DO k = nzb+1, nzt
[1]	867	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	868	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
[106]	869	sums_l(k,68,tn) = sums_ll(k,2)
[1]	870	ENDDO
	871	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	872	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
[106]	873	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
[1]	874
	875	ENDIF
	876
	877	!
[106]	878	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
	879	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
[1]	880
	881	!$OMP DO
	882	DO i = nxl, nxr
	883	DO j = nys, nyn
[132]	884	DO k = nzb_s_inner(j,i)+1, nzt
[1]	885
[106]	886	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
[1]	887	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	888	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
[106]	889	) * ddzw(k)
[1]	890
[106]	891	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
	892	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	893	)
	894
[1]	895	ENDDO
	896	ENDDO
	897	ENDDO
	898	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
[106]	899	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
[1]	900
	901	ENDIF
	902
	903	!
	904	!-- Horizontal heat fluxes (subgrid, resolved, total).
	905	!-- Do it only, if profiles shall be plotted.
	906	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	907
	908	!$OMP DO
	909	DO i = nxl, nxr
	910	DO j = nys, nyn
[132]	911	DO k = nzb_s_inner(j,i)+1, nzt
[1]	912	!
	913	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	914	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	915	( kh(k,j,i) + kh(k,j,i-1) ) &
	916	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	917	* ddx * rmask(j,i,sr)
	918	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	919	( kh(k,j,i) + kh(k,j-1,i) ) &
	920	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	921	* ddy * rmask(j,i,sr)
	922	!
	923	!-- Resolved horizontal heat fluxes upt, vpt
	924	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	925	( u(k,j,i) - hom(k,1,1,sr) ) &
	926	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	927	pt(k,j,i) - hom(k,1,4,sr) )
	928	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	929	pt(k,j,i) - hom(k,1,4,sr) )
	930	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	931	( v(k,j,i) - hom(k,1,2,sr) ) &
	932	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	933	pt(k,j,i) - hom(k,1,4,sr) )
	934	ENDDO
	935	ENDDO
	936	ENDDO
	937	!
	938	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
[97]	939	sums_l(nzb,58,tn) = 0.0
	940	sums_l(nzb,59,tn) = 0.0
	941	sums_l(nzb,60,tn) = 0.0
	942	sums_l(nzb,61,tn) = 0.0
	943	sums_l(nzb,62,tn) = 0.0
	944	sums_l(nzb,63,tn) = 0.0
[1]	945
	946	ENDIF
[87]	947
	948	!
	949	!-- Calculate the user-defined profiles
	950	CALL user_statistics( 'profiles', sr, tn )
[1]	951	!$OMP END PARALLEL
	952
	953	!
	954	!-- Summation of thread sums
	955	IF ( threads_per_task > 1 ) THEN
	956	DO i = 1, threads_per_task-1
	957	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	958	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
[87]	959	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	960	sums_l(:,45:pr_palm,i)
	961	IF ( max_pr_user > 0 ) THEN
	962	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	963	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	964	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	965	ENDIF
[1]	966	ENDDO
	967	ENDIF
	968
	969	#if defined( __parallel )
[667]	970
[1]	971	!
	972	!-- Compute total sum from local sums
[622]	973	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	974	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	975	MPI_SUM, comm2d, ierr )
	976	#else
	977	sums = sums_l(:,:,0)
	978	#endif
	979
	980	!
	981	!-- Final values are obtained by division by the total number of grid points
	982	!-- used for summation. After that store profiles.
	983	!-- Profiles:
	984	DO k = nzb, nzt+1
[132]	985	sums(k,3) = sums(k,3) / ngp_2dh(sr)
[142]	986	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
[132]	987	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
	988	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
	989	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
[142]	990	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
	991	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
[132]	992	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
	993	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
	994	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
	995	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
	996	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
	997	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
	998	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
[1]	999	ENDDO
[667]	1000
[1]	1001	!-- Upstream-parts
[87]	1002	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
[1]	1003	!-- u* and so on
[87]	1004	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
[1]	1005	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	1006	!-- above the topography, they are being divided by ngp_2dh(sr)
[87]	1007	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
[1]	1008	ngp_2dh(sr)
[197]	1009	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
	1010	ngp_2dh(sr)
[1]	1011	!-- eges, e*
[87]	1012	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
[132]	1013	ngp_3d(sr)
[1]	1014	!-- Old and new divergence
[87]	1015	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
[1]	1016	ngp_3d_inner(sr)
	1017
[87]	1018	!-- User-defined profiles
	1019	IF ( max_pr_user > 0 ) THEN
	1020	DO k = nzb, nzt+1
	1021	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	1022	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
[132]	1023	ngp_2dh_s_inner(k,sr)
[87]	1024	ENDDO
	1025	ENDIF
[1007]	1026
[1]	1027	!
	1028	!-- Collect horizontal average in hom.
	1029	!-- Compute deduced averages (e.g. total heat flux)
	1030	hom(:,1,3,sr) = sums(:,3) ! w
	1031	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	1032	hom(:,1,9,sr) = sums(:,9) ! km
	1033	hom(:,1,10,sr) = sums(:,10) ! kh
	1034	hom(:,1,11,sr) = sums(:,11) ! l
	1035	hom(:,1,12,sr) = sums(:,12) ! w"u"
	1036	hom(:,1,13,sr) = sums(:,13) ! wu
	1037	hom(:,1,14,sr) = sums(:,14) ! w"v"
	1038	hom(:,1,15,sr) = sums(:,15) ! wv
	1039	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	1040	hom(:,1,17,sr) = sums(:,17) ! wpt
	1041	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	1042	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	1043	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	1044	hom(:,1,21,sr) = sums(:,21) ! wptBC
	1045	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
[96]	1046	! profile 24 is initial profile (sa)
	1047	! profiles 25-29 left empty for initial
[1]	1048	! profiles
	1049	hom(:,1,30,sr) = sums(:,30) ! u*2
	1050	hom(:,1,31,sr) = sums(:,31) ! v*2
	1051	hom(:,1,32,sr) = sums(:,32) ! w*2
	1052	hom(:,1,33,sr) = sums(:,33) ! pt*2
	1053	hom(:,1,34,sr) = sums(:,34) ! e*
	1054	hom(:,1,35,sr) = sums(:,35) ! w2pt
	1055	hom(:,1,36,sr) = sums(:,36) ! wpt2
	1056	hom(:,1,37,sr) = sums(:,37) ! we
	1057	hom(:,1,38,sr) = sums(:,38) ! w*3
[699]	1058	hom(:,1,39,sr) = sums(:,38) / ( abs( sums(:,32) ) + 1E-20 )**1.5 ! Sw
[1]	1059	hom(:,1,40,sr) = sums(:,40) ! p
[531]	1060	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
[1]	1061	hom(:,1,46,sr) = sums(:,46) ! wvpt
	1062	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	1063	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	1064	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	1065	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	1066	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	1067	hom(:,1,52,sr) = sums(:,52) ! wqv
	1068	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	1069	hom(:,1,54,sr) = sums(:,54) ! ql
	1070	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	1071	hom(:,1,56,sr) = sums(:,56) ! wp/dz
[106]	1072	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
[1]	1073	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	1074	hom(:,1,59,sr) = sums(:,59) ! upt
	1075	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	1076	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	1077	hom(:,1,62,sr) = sums(:,62) ! vpt
	1078	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
[96]	1079	hom(:,1,64,sr) = sums(:,64) ! rho
	1080	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	1081	hom(:,1,66,sr) = sums(:,66) ! wsa
	1082	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
[106]	1083	hom(:,1,68,sr) = sums(:,68) ! wp
	1084	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
[197]	1085	hom(:,1,70,sr) = sums(:,70) ! q*2
[388]	1086	hom(:,1,71,sr) = sums(:,71) ! prho
[531]	1087	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
[1]	1088
[87]	1089	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
[1]	1090	! upstream-parts u_x, u_y, u_z, v_x,
	1091	! v_y, usw. (in last but one profile)
[667]	1092	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
[1]	1093	! u, w'u', w'v', t (in last profile)
	1094
[87]	1095	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	1096	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	1097	sums(:,pr_palm+1:pr_palm+max_pr_user)
	1098	ENDIF
	1099
[1]	1100	!
	1101	!-- Determine the boundary layer height using two different schemes.
[94]	1102	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	1103	!-- first relative minimum (maximum) of the total heat flux.
	1104	!-- The corresponding height is assumed as the boundary layer height, if it
	1105	!-- is less than 1.5 times the height where the heat flux becomes negative
	1106	!-- (positive) for the first time.
[1]	1107	z_i(1) = 0.0
	1108	first = .TRUE.
[667]	1109
[97]	1110	IF ( ocean ) THEN
	1111	DO k = nzt, nzb+1, -1
[667]	1112	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1113	.AND. abs(hom(k,1,18,sr)) > 1.0E-8) THEN
[97]	1114	first = .FALSE.
	1115	height = zw(k)
	1116	ENDIF
	1117	IF ( hom(k,1,18,sr) < 0.0 .AND. &
[667]	1118	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[97]	1119	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1120	IF ( zw(k) < 1.5 * height ) THEN
	1121	z_i(1) = zw(k)
	1122	ELSE
	1123	z_i(1) = height
	1124	ENDIF
	1125	EXIT
	1126	ENDIF
	1127	ENDDO
	1128	ELSE
[94]	1129	DO k = nzb, nzt-1
[667]	1130	IF ( first .AND. hom(k,1,18,sr) < 0.0 &
	1131	.AND. abs(hom(k,1,18,sr)) > 1.0E-8 ) THEN
[94]	1132	first = .FALSE.
	1133	height = zw(k)
[1]	1134	ENDIF
[667]	1135	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	1136	abs(hom(k,1,18,sr)) > 1.0E-8 .AND. &
[94]	1137	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	1138	IF ( zw(k) < 1.5 * height ) THEN
	1139	z_i(1) = zw(k)
	1140	ELSE
	1141	z_i(1) = height
	1142	ENDIF
	1143	EXIT
	1144	ENDIF
	1145	ENDDO
[97]	1146	ENDIF
[1]	1147
	1148	!
[291]	1149	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
	1150	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
	1151	!-- maximal local temperature gradient: starting from the second (the last
	1152	!-- but one) vertical gridpoint, the local gradient must be at least
	1153	!-- 0.2K/100m and greater than the next four gradients.
	1154	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
	1155	!-- ocean case!
[1]	1156	z_i(2) = 0.0
[291]	1157	DO k = nzb+1, nzt+1
	1158	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
	1159	ENDDO
	1160	dptdz_threshold = 0.2 / 100.0
	1161
[97]	1162	IF ( ocean ) THEN
[291]	1163	DO k = nzt+1, nzb+5, -1
	1164	IF ( dptdz(k) > dptdz_threshold .AND. &
	1165	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
	1166	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
	1167	z_i(2) = zw(k-1)
[97]	1168	EXIT
	1169	ENDIF
	1170	ENDDO
	1171	ELSE
[291]	1172	DO k = nzb+1, nzt-3
	1173	IF ( dptdz(k) > dptdz_threshold .AND. &
	1174	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
	1175	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
	1176	z_i(2) = zw(k-1)
[97]	1177	EXIT
	1178	ENDIF
	1179	ENDDO
	1180	ENDIF
[1]	1181
[87]	1182	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	1183	hom(nzb+7,1,pr_palm,sr) = z_i(2)
[1]	1184
	1185	!
	1186	!-- Computation of both the characteristic vertical velocity and
	1187	!-- the characteristic convective boundary layer temperature.
	1188	!-- The horizontal average at nzb+1 is input for the average temperature.
[667]	1189	IF ( hom(nzb,1,18,sr) > 0.0 .AND. abs(hom(nzb,1,18,sr)) > 1.0E-8 &
	1190	.AND. z_i(1) /= 0.0 ) THEN
[87]	1191	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
[94]	1192	hom(nzb,1,18,sr) * &
	1193	ABS( z_i(1) ) )**0.333333333
[1]	1194	!-- so far this only works if Prandtl layer is used
[87]	1195	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
[1]	1196	ELSE
[87]	1197	hom(nzb+8,1,pr_palm,sr) = 0.0
	1198	hom(nzb+11,1,pr_palm,sr) = 0.0
[1]	1199	ENDIF
	1200
[48]	1201	!
	1202	!-- Collect the time series quantities
[87]	1203	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	1204	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
[48]	1205	ts_value(3,sr) = dt_3d
[87]	1206	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	1207	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
[48]	1208	ts_value(6,sr) = u_max
	1209	ts_value(7,sr) = v_max
	1210	ts_value(8,sr) = w_max
[87]	1211	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	1212	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	1213	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	1214	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	1215	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
[48]	1216	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	1217	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	1218	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	1219	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	1220	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
[197]	1221	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
	1222	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
[343]	1223	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
[197]	1224
[48]	1225	IF ( ts_value(5,sr) /= 0.0 ) THEN
	1226	ts_value(22,sr) = ts_value(4,sr)**2 / &
	1227	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	1228	ELSE
	1229	ts_value(22,sr) = 10000.0
	1230	ENDIF
[1]	1231
[343]	1232	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
[1]	1233	!
[48]	1234	!-- Calculate additional statistics provided by the user interface
[87]	1235	CALL user_statistics( 'time_series', sr, 0 )
[1]	1236
[48]	1237	ENDDO ! loop of the subregions
	1238
[1]	1239	!
	1240	!-- If required, sum up horizontal averages for subsequent time averaging
	1241	IF ( do_sum ) THEN
	1242	IF ( average_count_pr == 0 ) hom_sum = 0.0
	1243	hom_sum = hom_sum + hom(:,1,:,:)
	1244	average_count_pr = average_count_pr + 1
	1245	do_sum = .FALSE.
	1246	ENDIF
	1247
	1248	!
	1249	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	1250	!-- This flag is reset after each time step in time_integration.
	1251	flow_statistics_called = .TRUE.
	1252
	1253	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	1254
	1255
	1256	END SUBROUTINE flow_statistics

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