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source: palm/trunk/SOURCE/flow_statistics.f90 @ 753

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

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