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source: palm/trunk/SOURCE/flow_statistics.f90 @ 623

Last change on this file since 623 was 623, checked in by raasch, 13 years ago
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[1]	1	SUBROUTINE flow_statistics
	2
	3	!------------------------------------------------------------------------------!
[254]	4	! Current revisions:
[1]	5	! -----------------
[623]	6	!
[392]	7	!
	8	! Former revisions:
	9	! -----------------
	10	! $Id: flow_statistics.f90 623 2010-12-10 08:52:17Z raasch $
	11	!
[623]	12	! 622 2010-12-10 08:08:13Z raasch
	13	! optional barriers included in order to speed up collective operations
	14	!
[392]	15	! 388 2009-09-23 09:40:33Z raasch
[388]	16	! Vertical profiles of potential density and hydrostatic pressure are
	17	! calculated.
[343]	18	! Added missing timeseries calculation of w"q"(0), moved timeseries q* to the
	19	! end.
[291]	20	! Temperature gradient criterion for estimating the boundary layer height
	21	! replaced by the gradient criterion of Sullivan et al. (1998).
[254]	22	! Output of messages replaced by message handling routine.
[1]	23	!
[198]	24	! 197 2008-09-16 15:29:03Z raasch
	25	! Spline timeseries splptx etc. removed, timeseries w'u', w'v', w'q' (k=0)
	26	! added,
	27	! bugfix: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr)
	28	! (like other scalars)
	29	!
[139]	30	! 133 2007-11-20 10:10:53Z letzel
	31	! Vertical profiles now based on nzb_s_inner; they are divided by
	32	! ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered
	33	! velocity components and their products, procucts of scalars and velocity
	34	! components), respectively.
	35	!
[110]	36	! 106 2007-08-16 14:30:26Z raasch
	37	! Prescribed momentum fluxes at the top surface are used,
	38	! profiles for wp and w"e are calculated
	39	!
[98]	40	! 97 2007-06-21 08:23:15Z raasch
	41	! Statistics for ocean version (salinity, density) added,
	42	! calculation of z_i and Deardorff velocity scale adjusted to be used with
	43	! the ocean version
	44	!
[90]	45	! 87 2007-05-22 15:46:47Z raasch
	46	! Two more arguments added to user_statistics, which is now also called for
	47	! user-defined profiles,
	48	! var_hom and var_sum renamed pr_palm
	49	!
[83]	50	! 82 2007-04-16 15:40:52Z raasch
	51	! Cpp-directive lcmuk changed to intel_openmp_bug
	52	!
[77]	53	! 75 2007-03-22 09:54:05Z raasch
	54	! Collection of time series quantities moved from routine flow_statistics to
	55	! here, routine user_statistics is called for each statistic region,
	56	! moisture renamed humidity
	57	!
[39]	58	! 19 2007-02-23 04:53:48Z raasch
[77]	59	! fluxes at top modified (tswst, qswst)
[39]	60	!
[3]	61	! RCS Log replace by Id keyword, revision history cleaned up
	62	!
[1]	63	! Revision 1.41 2006/08/04 14:37:50 raasch
	64	! Error removed in non-parallel part (sums_l)
	65	!
	66	! Revision 1.1 1997/08/11 06:15:17 raasch
	67	! Initial revision
	68	!
	69	!
	70	! Description:
	71	! ------------
	72	! Compute average profiles and further average flow quantities for the different
	73	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
	74	!
[132]	75	! NOTE: For simplicity, nzb_s_inner and nzb_diff_s_inner are being used as a
	76	! ---- lower vertical index for k-loops for all variables, although strictly
	77	! speaking the k-loops would have to be split up according to the staggered
	78	! grid. However, this implies no error since staggered velocity components are
	79	! zero at the walls and inside buildings.
[1]	80	!------------------------------------------------------------------------------!
	81
	82	USE arrays_3d
	83	USE cloud_parameters
	84	USE cpulog
	85	USE grid_variables
	86	USE indices
	87	USE interfaces
	88	USE pegrid
	89	USE statistics
	90	USE control_parameters
	91
	92	IMPLICIT NONE
	93
	94	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
	95	LOGICAL :: first
[291]	96	REAL :: dptdz_threshold, height, pts, sums_l_eper, sums_l_etot, ust, &
	97	ust2, u2, vst, vst2, v2, w2, z_i(2)
	98	REAL :: dptdz(nzb+1:nzt+1)
[1]	99	REAL :: sums_ll(nzb:nzt+1,2)
	100
	101
	102	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
	103
	104	!
	105	!-- To be on the safe side, check whether flow_statistics has already been
	106	!-- called once after the current time step
	107	IF ( flow_statistics_called ) THEN
[254]	108
[274]	109	message_string = 'flow_statistics is called two times within one ' // &
	110	'timestep'
[254]	111	CALL message( 'flow_statistics', 'PA0190', 1, 2, 0, 6, 0 )
	112
[1]	113	ENDIF
	114
	115	!
	116	!-- Compute statistics for each (sub-)region
	117	DO sr = 0, statistic_regions
	118
	119	!
	120	!-- Initialize (local) summation array
	121	sums_l = 0.0
	122
	123	!
	124	!-- Store sums that have been computed in other subroutines in summation
	125	!-- array
	126	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
	127	!-- WARNING: next line still has to be adjusted for OpenMP
	128	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
[87]	129	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
	130	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
[1]	131
[305]	132	!
[1]	133	!-- Horizontally averaged profiles of horizontal velocities and temperature.
	134	!-- They must have been computed before, because they are already required
	135	!-- for other horizontal averages.
	136	tn = 0
	137	!$OMP PARALLEL PRIVATE( i, j, k, tn )
[82]	138	#if defined( __intel_openmp_bug )
[1]	139	tn = omp_get_thread_num()
	140	#else
	141	!$ tn = omp_get_thread_num()
	142	#endif
	143
	144	!$OMP DO
	145	DO i = nxl, nxr
	146	DO j = nys, nyn
[132]	147	DO k = nzb_s_inner(j,i), nzt+1
[1]	148	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
	149	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
	150	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
	151	ENDDO
	152	ENDDO
	153	ENDDO
	154
	155	!
[96]	156	!-- Horizontally averaged profile of salinity
	157	IF ( ocean ) THEN
	158	!$OMP DO
	159	DO i = nxl, nxr
	160	DO j = nys, nyn
[132]	161	DO k = nzb_s_inner(j,i), nzt+1
[96]	162	sums_l(k,23,tn) = sums_l(k,23,tn) + &
	163	sa(k,j,i) * rmask(j,i,sr)
	164	ENDDO
	165	ENDDO
	166	ENDDO
	167	ENDIF
	168
	169	!
[1]	170	!-- Horizontally averaged profiles of virtual potential temperature,
	171	!-- total water content, specific humidity and liquid water potential
	172	!-- temperature
[75]	173	IF ( humidity ) THEN
[1]	174	!$OMP DO
	175	DO i = nxl, nxr
	176	DO j = nys, nyn
[132]	177	DO k = nzb_s_inner(j,i), nzt+1
[1]	178	sums_l(k,44,tn) = sums_l(k,44,tn) + &
	179	vpt(k,j,i) * rmask(j,i,sr)
	180	sums_l(k,41,tn) = sums_l(k,41,tn) + &
	181	q(k,j,i) * rmask(j,i,sr)
	182	ENDDO
	183	ENDDO
	184	ENDDO
	185	IF ( cloud_physics ) THEN
	186	!$OMP DO
	187	DO i = nxl, nxr
	188	DO j = nys, nyn
[132]	189	DO k = nzb_s_inner(j,i), nzt+1
[1]	190	sums_l(k,42,tn) = sums_l(k,42,tn) + &
	191	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
	192	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
	193	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
	194	) * rmask(j,i,sr)
	195	ENDDO
	196	ENDDO
	197	ENDDO
	198	ENDIF
	199	ENDIF
	200
	201	!
	202	!-- Horizontally averaged profiles of passive scalar
	203	IF ( passive_scalar ) THEN
	204	!$OMP DO
	205	DO i = nxl, nxr
	206	DO j = nys, nyn
[132]	207	DO k = nzb_s_inner(j,i), nzt+1
[1]	208	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
	209	ENDDO
	210	ENDDO
	211	ENDDO
	212	ENDIF
	213	!$OMP END PARALLEL
	214
	215	!
	216	!-- Summation of thread sums
	217	IF ( threads_per_task > 1 ) THEN
	218	DO i = 1, threads_per_task-1
	219	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
	220	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
	221	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
[96]	222	IF ( ocean ) THEN
	223	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
	224	ENDIF
[75]	225	IF ( humidity ) THEN
[1]	226	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	227	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
	228	IF ( cloud_physics ) THEN
	229	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
	230	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
	231	ENDIF
	232	ENDIF
	233	IF ( passive_scalar ) THEN
	234	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	235	ENDIF
	236	ENDDO
	237	ENDIF
	238
	239	#if defined( __parallel )
	240	!
	241	!-- Compute total sum from local sums
[622]	242	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	243	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
	244	MPI_SUM, comm2d, ierr )
[622]	245	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	246	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
	247	MPI_SUM, comm2d, ierr )
[622]	248	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	249	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
	250	MPI_SUM, comm2d, ierr )
[96]	251	IF ( ocean ) THEN
[622]	252	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[96]	253	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
	254	MPI_REAL, MPI_SUM, comm2d, ierr )
	255	ENDIF
[75]	256	IF ( humidity ) THEN
[622]	257	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	258	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
	259	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	260	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	261	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	262	MPI_REAL, MPI_SUM, comm2d, ierr )
	263	IF ( cloud_physics ) THEN
[622]	264	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	265	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
	266	MPI_REAL, MPI_SUM, comm2d, ierr )
[622]	267	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	268	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
	269	MPI_REAL, MPI_SUM, comm2d, ierr )
	270	ENDIF
	271	ENDIF
	272
	273	IF ( passive_scalar ) THEN
[622]	274	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	275	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	276	MPI_REAL, MPI_SUM, comm2d, ierr )
	277	ENDIF
	278	#else
	279	sums(:,1) = sums_l(:,1,0)
	280	sums(:,2) = sums_l(:,2,0)
	281	sums(:,4) = sums_l(:,4,0)
[96]	282	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
[75]	283	IF ( humidity ) THEN
[1]	284	sums(:,44) = sums_l(:,44,0)
	285	sums(:,41) = sums_l(:,41,0)
	286	IF ( cloud_physics ) THEN
	287	sums(:,42) = sums_l(:,42,0)
	288	sums(:,43) = sums_l(:,43,0)
	289	ENDIF
	290	ENDIF
	291	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
	292	#endif
	293
	294	!
	295	!-- Final values are obtained by division by the total number of grid points
	296	!-- used for summation. After that store profiles.
[132]	297	sums(:,1) = sums(:,1) / ngp_2dh(sr)
	298	sums(:,2) = sums(:,2) / ngp_2dh(sr)
	299	sums(:,4) = sums(:,4) / ngp_2dh_s_inner(:,sr)
[1]	300	hom(:,1,1,sr) = sums(:,1) ! u
	301	hom(:,1,2,sr) = sums(:,2) ! v
	302	hom(:,1,4,sr) = sums(:,4) ! pt
	303
	304	!
[96]	305	!-- Salinity
	306	IF ( ocean ) THEN
[132]	307	sums(:,23) = sums(:,23) / ngp_2dh_s_inner(:,sr)
[96]	308	hom(:,1,23,sr) = sums(:,23) ! sa
	309	ENDIF
	310
	311	!
[1]	312	!-- Humidity and cloud parameters
[75]	313	IF ( humidity ) THEN
[132]	314	sums(:,44) = sums(:,44) / ngp_2dh_s_inner(:,sr)
	315	sums(:,41) = sums(:,41) / ngp_2dh_s_inner(:,sr)
[1]	316	hom(:,1,44,sr) = sums(:,44) ! vpt
	317	hom(:,1,41,sr) = sums(:,41) ! qv (q)
	318	IF ( cloud_physics ) THEN
[132]	319	sums(:,42) = sums(:,42) / ngp_2dh_s_inner(:,sr)
	320	sums(:,43) = sums(:,43) / ngp_2dh_s_inner(:,sr)
[1]	321	hom(:,1,42,sr) = sums(:,42) ! qv
	322	hom(:,1,43,sr) = sums(:,43) ! pt
	323	ENDIF
	324	ENDIF
	325
	326	!
	327	!-- Passive scalar
[132]	328	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / &
	329	ngp_2dh_s_inner(:,sr) ! s (q)
[1]	330
	331	!
	332	!-- Horizontally averaged profiles of the remaining prognostic variables,
	333	!-- variances, the total and the perturbation energy (single values in last
	334	!-- column of sums_l) and some diagnostic quantities.
[132]	335	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	336	!-- ---- speaking the following k-loop would have to be split up and
	337	!-- rearranged according to the staggered grid.
[132]	338	!-- However, this implies no error since staggered velocity components
	339	!-- are zero at the walls and inside buildings.
[1]	340	tn = 0
[82]	341	#if defined( __intel_openmp_bug )
[1]	342	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
	343	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
	344	tn = omp_get_thread_num()
	345	#else
	346	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
	347	!$ tn = omp_get_thread_num()
	348	#endif
	349	!$OMP DO
	350	DO i = nxl, nxr
	351	DO j = nys, nyn
	352	sums_l_etot = 0.0
	353	sums_l_eper = 0.0
[132]	354	DO k = nzb_s_inner(j,i), nzt+1
[1]	355	u2 = u(k,j,i)**2
	356	v2 = v(k,j,i)**2
	357	w2 = w(k,j,i)**2
	358	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
	359	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
	360	!
	361	!-- Prognostic and diagnostic variables
	362	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
	363	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
	364	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
	365	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
	366	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
	367
	368	!
	369	!-- Variances
	370	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
	371	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
	372	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
	373	sums_l(k,33,tn) = sums_l(k,33,tn) + &
	374	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
	375	!
	376	!-- Higher moments
	377	!-- (Computation of the skewness of w further below)
	378	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i) * w2 * &
	379	rmask(j,i,sr)
	380	!
	381	!-- Perturbation energy
	382	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * ( ust2 + vst2 + w2 ) &
	383	* rmask(j,i,sr)
	384	sums_l_etot = sums_l_etot + &
	385	0.5 * ( u2 + v2 + w2 ) * rmask(j,i,sr)
	386	sums_l_eper = sums_l_eper + &
	387	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
	388	ENDDO
	389	!
	390	!-- Total and perturbation energy for the total domain (being
	391	!-- collected in the last column of sums_l). Summation of these
	392	!-- quantities is seperated from the previous loop in order to
	393	!-- allow vectorization of that loop.
[87]	394	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
	395	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) + sums_l_eper
[1]	396	!
	397	!-- 2D-arrays (being collected in the last column of sums_l)
[87]	398	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
[1]	399	us(j,i) * rmask(j,i,sr)
[87]	400	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
[1]	401	usws(j,i) * rmask(j,i,sr)
[87]	402	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
[1]	403	vsws(j,i) * rmask(j,i,sr)
[87]	404	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
[1]	405	ts(j,i) * rmask(j,i,sr)
[197]	406	IF ( humidity ) THEN
	407	sums_l(nzb+12,pr_palm,tn) = sums_l(nzb+12,pr_palm,tn) + &
	408	qs(j,i) * rmask(j,i,sr)
	409	ENDIF
[1]	410	ENDDO
	411	ENDDO
	412
	413	!
	414	!-- Horizontally averaged profiles of the vertical fluxes
	415	!$OMP DO
	416	DO i = nxl, nxr
	417	DO j = nys, nyn
	418	!
	419	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
	420	!-- oterwise from k=nzb+1)
[132]	421	!-- NOTE: for simplicity, nzb_diff_s_inner is used below, although
[1]	422	!-- ---- strictly speaking the following k-loop would have to be
	423	!-- split up according to the staggered grid.
[132]	424	!-- However, this implies no error since staggered velocity
	425	!-- components are zero at the walls and inside buildings.
	426
	427	DO k = nzb_diff_s_inner(j,i)-1, nzt_diff
[1]	428	!
	429	!-- Momentum flux w"u"
	430	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
	431	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
	432	) * ( &
	433	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	434	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	435	) * rmask(j,i,sr)
	436	!
	437	!-- Momentum flux w"v"
	438	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
	439	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
	440	) * ( &
	441	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	442	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	443	) * rmask(j,i,sr)
	444	!
	445	!-- Heat flux w"pt"
	446	sums_l(k,16,tn) = sums_l(k,16,tn) &
	447	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	448	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	449	* ddzu(k+1) * rmask(j,i,sr)
	450
	451
	452	!
[96]	453	!-- Salinity flux w"sa"
	454	IF ( ocean ) THEN
	455	sums_l(k,65,tn) = sums_l(k,65,tn) &
	456	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	457	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	458	* ddzu(k+1) * rmask(j,i,sr)
	459	ENDIF
	460
	461	!
[1]	462	!-- Buoyancy flux, water flux (humidity flux) w"q"
[75]	463	IF ( humidity ) THEN
[1]	464	sums_l(k,45,tn) = sums_l(k,45,tn) &
	465	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	466	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	467	* ddzu(k+1) * rmask(j,i,sr)
	468	sums_l(k,48,tn) = sums_l(k,48,tn) &
	469	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	470	* ( q(k+1,j,i) - q(k,j,i) ) &
	471	* ddzu(k+1) * rmask(j,i,sr)
	472	IF ( cloud_physics ) THEN
	473	sums_l(k,51,tn) = sums_l(k,51,tn) &
	474	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	475	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
	476	- ( q(k,j,i) - ql(k,j,i) ) ) &
	477	* ddzu(k+1) * rmask(j,i,sr)
	478	ENDIF
	479	ENDIF
	480
	481	!
	482	!-- Passive scalar flux
	483	IF ( passive_scalar ) THEN
	484	sums_l(k,48,tn) = sums_l(k,48,tn) &
	485	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	486	* ( q(k+1,j,i) - q(k,j,i) ) &
	487	* ddzu(k+1) * rmask(j,i,sr)
	488	ENDIF
	489
	490	ENDDO
	491
	492	!
	493	!-- Subgridscale fluxes in the Prandtl layer
	494	IF ( use_surface_fluxes ) THEN
	495	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
	496	usws(j,i) * rmask(j,i,sr) ! w"u"
	497	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
	498	vsws(j,i) * rmask(j,i,sr) ! w"v"
	499	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
	500	shf(j,i) * rmask(j,i,sr) ! w"pt"
	501	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
	502	0.0 * rmask(j,i,sr) ! u"pt"
	503	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
	504	0.0 * rmask(j,i,sr) ! v"pt"
[96]	505	IF ( ocean ) THEN
	506	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
	507	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	508	ENDIF
[75]	509	IF ( humidity ) THEN
[1]	510	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	511	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	512	IF ( cloud_physics ) THEN
	513	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	514	( 1.0 + 0.61 * q(nzb,j,i) ) * &
	515	shf(j,i) + 0.61 * pt(nzb,j,i) * &
	516	qsws(j,i) &
	517	)
	518	!
	519	!-- Formula does not work if ql(nzb) /= 0.0
	520	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
	521	qsws(j,i) * rmask(j,i,sr)
	522	ENDIF
	523	ENDIF
	524	IF ( passive_scalar ) THEN
	525	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	526	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	527	ENDIF
	528	ENDIF
	529
	530	!
[19]	531	!-- Subgridscale fluxes at the top surface
	532	IF ( use_top_fluxes ) THEN
[550]	533	sums_l(nzt:nzt+1,12,tn) = sums_l(nzt:nzt+1,12,tn) + &
[102]	534	uswst(j,i) * rmask(j,i,sr) ! w"u"
[550]	535	sums_l(nzt:nzt+1,14,tn) = sums_l(nzt:nzt+1,14,tn) + &
[102]	536	vswst(j,i) * rmask(j,i,sr) ! w"v"
[550]	537	sums_l(nzt:nzt+1,16,tn) = sums_l(nzt:nzt+1,16,tn) + &
[19]	538	tswst(j,i) * rmask(j,i,sr) ! w"pt"
[550]	539	sums_l(nzt:nzt+1,58,tn) = sums_l(nzt:nzt+1,58,tn) + &
[19]	540	0.0 * rmask(j,i,sr) ! u"pt"
[550]	541	sums_l(nzt:nzt+1,61,tn) = sums_l(nzt:nzt+1,61,tn) + &
	542	0.0 * rmask(j,i,sr) ! v"pt"
	543
[96]	544	IF ( ocean ) THEN
	545	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
	546	saswst(j,i) * rmask(j,i,sr) ! w"sa"
	547	ENDIF
[75]	548	IF ( humidity ) THEN
[19]	549	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	550	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[19]	551	IF ( cloud_physics ) THEN
	552	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	553	( 1.0 + 0.61 * q(nzt,j,i) ) * &
	554	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
	555	qsws(j,i) &
	556	)
	557	!
	558	!-- Formula does not work if ql(nzb) /= 0.0
	559	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
	560	qswst(j,i) * rmask(j,i,sr)
	561	ENDIF
	562	ENDIF
	563	IF ( passive_scalar ) THEN
	564	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
[388]	565	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
[19]	566	ENDIF
	567	ENDIF
	568
	569	!
[1]	570	!-- Resolved fluxes (can be computed for all horizontal points)
[132]	571	!-- NOTE: for simplicity, nzb_s_inner is used below, although strictly
[1]	572	!-- ---- speaking the following k-loop would have to be split up and
	573	!-- rearranged according to the staggered grid.
[132]	574	DO k = nzb_s_inner(j,i), nzt
[1]	575	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	576	u(k+1,j,i) - hom(k+1,1,1,sr) )
	577	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	578	v(k+1,j,i) - hom(k+1,1,2,sr) )
	579	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	580	pt(k+1,j,i) - hom(k+1,1,4,sr) )
	581	!
	582	!-- Momentum flux wu
	583	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
	584	( w(k,j,i-1) + w(k,j,i) ) &
	585	* ust * rmask(j,i,sr)
	586	!
	587	!-- Momentum flux wv
	588	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
	589	( w(k,j-1,i) + w(k,j,i) ) &
	590	* vst * rmask(j,i,sr)
	591	!
	592	!-- Heat flux wpt
	593	!-- The following formula (comment line, not executed) does not
	594	!-- work if applied to subregions
	595	! sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
	596	! ( pt(k,j,i)+pt(k+1,j,i) ) &
	597	! * w(k,j,i) * rmask(j,i,sr)
	598	sums_l(k,17,tn) = sums_l(k,17,tn) + pts * w(k,j,i) * &
	599	rmask(j,i,sr)
	600	!
	601	!-- Higher moments
	602	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
	603	rmask(j,i,sr)
	604	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
	605	rmask(j,i,sr)
	606
	607	!
[96]	608	!-- Salinity flux and density (density does not belong to here,
[97]	609	!-- but so far there is no other suitable place to calculate)
[96]	610	IF ( ocean ) THEN
	611	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
	612	sa(k+1,j,i) - hom(k+1,1,23,sr) )
	613	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
	614	rmask(j,i,sr)
	615	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
	616	rmask(j,i,sr)
[388]	617	sums_l(k,71,tn) = sums_l(k,71,tn) + prho(k,j,i) * &
	618	rmask(j,i,sr)
[96]	619	ENDIF
	620
	621	!
[1]	622	!-- Buoyancy flux, water flux, humidity flux and liquid water
	623	!-- content
[75]	624	IF ( humidity ) THEN
[1]	625	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	626	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	627	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
	628	rmask(j,i,sr)
	629	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	630	q(k+1,j,i) - hom(k+1,1,41,sr) )
	631	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	632	rmask(j,i,sr)
	633	IF ( cloud_physics .OR. cloud_droplets ) THEN
	634	pts = 0.5 * &
	635	( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) &
	636	+ ( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) )
	637	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
	638	rmask(j,i,sr)
	639	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
	640	rmask(j,i,sr)
	641	ENDIF
	642	ENDIF
	643
	644	!
	645	!-- Passive scalar flux
	646	IF ( passive_scalar ) THEN
	647	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	648	q(k+1,j,i) - hom(k+1,1,41,sr) )
	649	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	650	rmask(j,i,sr)
	651	ENDIF
	652
	653	!
	654	!-- Energy flux we
	655	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
	656	( ust2 + vst2 + w(k,j,i)**2 )&
	657	* rmask(j,i,sr)
	658
	659	ENDDO
	660	ENDDO
	661	ENDDO
	662
	663	!
[97]	664	!-- Density at top follows Neumann condition
[388]	665	IF ( ocean ) THEN
	666	sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	667	sums_l(nzt+1,71,tn) = sums_l(nzt,71,tn)
	668	ENDIF
[97]	669
	670	!
[1]	671	!-- Divergence of vertical flux of resolved scale energy and pressure
[106]	672	!-- fluctuations as well as flux of pressure fluctuation itself (68).
	673	!-- First calculate the products, then the divergence.
[1]	674	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
[106]	675	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
[1]	676
	677	sums_ll = 0.0 ! local array
	678
	679	!$OMP DO
	680	DO i = nxl, nxr
	681	DO j = nys, nyn
[132]	682	DO k = nzb_s_inner(j,i)+1, nzt
[1]	683
	684	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	685	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
	686	- 2.0 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
	687	) )**2 &
	688	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
	689	- 2.0 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
	690	) )**2 &
	691	+ w(k,j,i)**2 )
	692
	693	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	694	* ( p(k,j,i) + p(k+1,j,i) )
	695
	696	ENDDO
	697	ENDDO
	698	ENDDO
	699	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	700	sums_ll(nzt+1,1) = 0.0
	701	sums_ll(0,2) = 0.0
	702	sums_ll(nzt+1,2) = 0.0
	703
[132]	704	DO k = nzb_s_inner(j,i)+1, nzt
[1]	705	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	706	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
[106]	707	sums_l(k,68,tn) = sums_ll(k,2)
[1]	708	ENDDO
	709	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	710	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
[106]	711	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
[1]	712
	713	ENDIF
	714
	715	!
[106]	716	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
	717	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
[1]	718
	719	!$OMP DO
	720	DO i = nxl, nxr
	721	DO j = nys, nyn
[132]	722	DO k = nzb_s_inner(j,i)+1, nzt
[1]	723
[106]	724	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
[1]	725	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	726	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
[106]	727	) * ddzw(k)
[1]	728
[106]	729	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
	730	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	731	)
	732
[1]	733	ENDDO
	734	ENDDO
	735	ENDDO
	736	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
[106]	737	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
[1]	738
	739	ENDIF
	740
	741	!
	742	!-- Horizontal heat fluxes (subgrid, resolved, total).
	743	!-- Do it only, if profiles shall be plotted.
	744	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	745
	746	!$OMP DO
	747	DO i = nxl, nxr
	748	DO j = nys, nyn
[132]	749	DO k = nzb_s_inner(j,i)+1, nzt
[1]	750	!
	751	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	752	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	753	( kh(k,j,i) + kh(k,j,i-1) ) &
	754	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	755	* ddx * rmask(j,i,sr)
	756	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	757	( kh(k,j,i) + kh(k,j-1,i) ) &
	758	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	759	* ddy * rmask(j,i,sr)
	760	!
	761	!-- Resolved horizontal heat fluxes upt, vpt
	762	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	763	( u(k,j,i) - hom(k,1,1,sr) ) &
	764	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	765	pt(k,j,i) - hom(k,1,4,sr) )
	766	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	767	pt(k,j,i) - hom(k,1,4,sr) )
	768	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	769	( v(k,j,i) - hom(k,1,2,sr) ) &
	770	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	771	pt(k,j,i) - hom(k,1,4,sr) )
	772	ENDDO
	773	ENDDO
	774	ENDDO
	775	!
	776	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
[97]	777	sums_l(nzb,58,tn) = 0.0
	778	sums_l(nzb,59,tn) = 0.0
	779	sums_l(nzb,60,tn) = 0.0
	780	sums_l(nzb,61,tn) = 0.0
	781	sums_l(nzb,62,tn) = 0.0
	782	sums_l(nzb,63,tn) = 0.0
[1]	783
	784	ENDIF
[87]	785
	786	!
	787	!-- Calculate the user-defined profiles
	788	CALL user_statistics( 'profiles', sr, tn )
[1]	789	!$OMP END PARALLEL
	790
	791	!
	792	!-- Summation of thread sums
	793	IF ( threads_per_task > 1 ) THEN
	794	DO i = 1, threads_per_task-1
	795	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	796	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
[87]	797	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	798	sums_l(:,45:pr_palm,i)
	799	IF ( max_pr_user > 0 ) THEN
	800	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	801	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	802	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	803	ENDIF
[1]	804	ENDDO
	805	ENDIF
	806
	807	#if defined( __parallel )
	808	!
	809	!-- Compute total sum from local sums
[622]	810	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
[1]	811	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	812	MPI_SUM, comm2d, ierr )
	813	#else
	814	sums = sums_l(:,:,0)
	815	#endif
	816
	817	!
	818	!-- Final values are obtained by division by the total number of grid points
	819	!-- used for summation. After that store profiles.
	820	!-- Profiles:
	821	DO k = nzb, nzt+1
[132]	822	sums(k,3) = sums(k,3) / ngp_2dh(sr)
[142]	823	sums(k,8:11) = sums(k,8:11) / ngp_2dh_s_inner(k,sr)
[132]	824	sums(k,12:22) = sums(k,12:22) / ngp_2dh(sr)
	825	sums(k,23:29) = sums(k,23:29) / ngp_2dh_s_inner(k,sr)
	826	sums(k,30:32) = sums(k,30:32) / ngp_2dh(sr)
[142]	827	sums(k,33:34) = sums(k,33:34) / ngp_2dh_s_inner(k,sr)
	828	sums(k,35:39) = sums(k,35:39) / ngp_2dh(sr)
[132]	829	sums(k,40) = sums(k,40) / ngp_2dh_s_inner(k,sr)
	830	sums(k,45:53) = sums(k,45:53) / ngp_2dh(sr)
	831	sums(k,54) = sums(k,54) / ngp_2dh_s_inner(k,sr)
	832	sums(k,55:63) = sums(k,55:63) / ngp_2dh(sr)
	833	sums(k,64) = sums(k,64) / ngp_2dh_s_inner(k,sr)
	834	sums(k,65:69) = sums(k,65:69) / ngp_2dh(sr)
	835	sums(k,70:pr_palm-2) = sums(k,70:pr_palm-2)/ ngp_2dh_s_inner(k,sr)
[1]	836	ENDDO
	837	!-- Upstream-parts
[87]	838	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
[1]	839	!-- u* and so on
[87]	840	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
[1]	841	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	842	!-- above the topography, they are being divided by ngp_2dh(sr)
[87]	843	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
[1]	844	ngp_2dh(sr)
[197]	845	sums(nzb+12,pr_palm) = sums(nzb+12,pr_palm) / & ! qs
	846	ngp_2dh(sr)
[1]	847	!-- eges, e*
[87]	848	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
[132]	849	ngp_3d(sr)
[1]	850	!-- Old and new divergence
[87]	851	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
[1]	852	ngp_3d_inner(sr)
	853
[87]	854	!-- User-defined profiles
	855	IF ( max_pr_user > 0 ) THEN
	856	DO k = nzb, nzt+1
	857	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	858	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
[132]	859	ngp_2dh_s_inner(k,sr)
[87]	860	ENDDO
	861	ENDIF
	862
[1]	863	!
	864	!-- Collect horizontal average in hom.
	865	!-- Compute deduced averages (e.g. total heat flux)
	866	hom(:,1,3,sr) = sums(:,3) ! w
	867	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	868	hom(:,1,9,sr) = sums(:,9) ! km
	869	hom(:,1,10,sr) = sums(:,10) ! kh
	870	hom(:,1,11,sr) = sums(:,11) ! l
	871	hom(:,1,12,sr) = sums(:,12) ! w"u"
	872	hom(:,1,13,sr) = sums(:,13) ! wu
	873	hom(:,1,14,sr) = sums(:,14) ! w"v"
	874	hom(:,1,15,sr) = sums(:,15) ! wv
	875	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	876	hom(:,1,17,sr) = sums(:,17) ! wpt
	877	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	878	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	879	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	880	hom(:,1,21,sr) = sums(:,21) ! wptBC
	881	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
[96]	882	! profile 24 is initial profile (sa)
	883	! profiles 25-29 left empty for initial
[1]	884	! profiles
	885	hom(:,1,30,sr) = sums(:,30) ! u*2
	886	hom(:,1,31,sr) = sums(:,31) ! v*2
	887	hom(:,1,32,sr) = sums(:,32) ! w*2
	888	hom(:,1,33,sr) = sums(:,33) ! pt*2
	889	hom(:,1,34,sr) = sums(:,34) ! e*
	890	hom(:,1,35,sr) = sums(:,35) ! w2pt
	891	hom(:,1,36,sr) = sums(:,36) ! wpt2
	892	hom(:,1,37,sr) = sums(:,37) ! we
	893	hom(:,1,38,sr) = sums(:,38) ! w*3
	894	hom(:,1,39,sr) = sums(:,38) / ( sums(:,32) + 1E-20 )**1.5 ! Sw
	895	hom(:,1,40,sr) = sums(:,40) ! p
[531]	896	hom(:,1,45,sr) = sums(:,45) ! w"vpt"
[1]	897	hom(:,1,46,sr) = sums(:,46) ! wvpt
	898	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	899	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	900	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	901	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	902	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	903	hom(:,1,52,sr) = sums(:,52) ! wqv
	904	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	905	hom(:,1,54,sr) = sums(:,54) ! ql
	906	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	907	hom(:,1,56,sr) = sums(:,56) ! wp/dz
[106]	908	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
[1]	909	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	910	hom(:,1,59,sr) = sums(:,59) ! upt
	911	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	912	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	913	hom(:,1,62,sr) = sums(:,62) ! vpt
	914	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
[96]	915	hom(:,1,64,sr) = sums(:,64) ! rho
	916	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	917	hom(:,1,66,sr) = sums(:,66) ! wsa
	918	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
[106]	919	hom(:,1,68,sr) = sums(:,68) ! wp
	920	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
[197]	921	hom(:,1,70,sr) = sums(:,70) ! q*2
[388]	922	hom(:,1,71,sr) = sums(:,71) ! prho
[531]	923	hom(:,1,72,sr) = hyp * 1E-4 ! hyp in dbar
[1]	924
[87]	925	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
[1]	926	! upstream-parts u_x, u_y, u_z, v_x,
	927	! v_y, usw. (in last but one profile)
[87]	928	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
[1]	929	! u, w'u', w'v', t (in last profile)
	930
[87]	931	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	932	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	933	sums(:,pr_palm+1:pr_palm+max_pr_user)
	934	ENDIF
	935
[1]	936	!
	937	!-- Determine the boundary layer height using two different schemes.
[94]	938	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	939	!-- first relative minimum (maximum) of the total heat flux.
	940	!-- The corresponding height is assumed as the boundary layer height, if it
	941	!-- is less than 1.5 times the height where the heat flux becomes negative
	942	!-- (positive) for the first time.
[1]	943	z_i(1) = 0.0
	944	first = .TRUE.
[97]	945	IF ( ocean ) THEN
	946	DO k = nzt, nzb+1, -1
	947	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
	948	first = .FALSE.
	949	height = zw(k)
	950	ENDIF
	951	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	952	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	953	IF ( zw(k) < 1.5 * height ) THEN
	954	z_i(1) = zw(k)
	955	ELSE
	956	z_i(1) = height
	957	ENDIF
	958	EXIT
	959	ENDIF
	960	ENDDO
	961	ELSE
[94]	962	DO k = nzb, nzt-1
	963	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
	964	first = .FALSE.
	965	height = zw(k)
[1]	966	ENDIF
[94]	967	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	968	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	969	IF ( zw(k) < 1.5 * height ) THEN
	970	z_i(1) = zw(k)
	971	ELSE
	972	z_i(1) = height
	973	ENDIF
	974	EXIT
	975	ENDIF
	976	ENDDO
[97]	977	ENDIF
[1]	978
	979	!
[291]	980	!-- Second scheme: Gradient scheme from Sullivan et al. (1998), modified
	981	!-- by Uhlenbrock(2006). The boundary layer height is the height with the
	982	!-- maximal local temperature gradient: starting from the second (the last
	983	!-- but one) vertical gridpoint, the local gradient must be at least
	984	!-- 0.2K/100m and greater than the next four gradients.
	985	!-- WARNING: The threshold value of 0.2K/100m must be adjusted for the
	986	!-- ocean case!
[1]	987	z_i(2) = 0.0
[291]	988	DO k = nzb+1, nzt+1
	989	dptdz(k) = ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) * ddzu(k)
	990	ENDDO
	991	dptdz_threshold = 0.2 / 100.0
	992
[97]	993	IF ( ocean ) THEN
[291]	994	DO k = nzt+1, nzb+5, -1
	995	IF ( dptdz(k) > dptdz_threshold .AND. &
	996	dptdz(k) > dptdz(k-1) .AND. dptdz(k) > dptdz(k-2) .AND. &
	997	dptdz(k) > dptdz(k-3) .AND. dptdz(k) > dptdz(k-4) ) THEN
	998	z_i(2) = zw(k-1)
[97]	999	EXIT
	1000	ENDIF
	1001	ENDDO
	1002	ELSE
[291]	1003	DO k = nzb+1, nzt-3
	1004	IF ( dptdz(k) > dptdz_threshold .AND. &
	1005	dptdz(k) > dptdz(k+1) .AND. dptdz(k) > dptdz(k+2) .AND. &
	1006	dptdz(k) > dptdz(k+3) .AND. dptdz(k) > dptdz(k+4) ) THEN
	1007	z_i(2) = zw(k-1)
[97]	1008	EXIT
	1009	ENDIF
	1010	ENDDO
	1011	ENDIF
[1]	1012
[87]	1013	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	1014	hom(nzb+7,1,pr_palm,sr) = z_i(2)
[1]	1015
	1016	!
	1017	!-- Computation of both the characteristic vertical velocity and
	1018	!-- the characteristic convective boundary layer temperature.
	1019	!-- The horizontal average at nzb+1 is input for the average temperature.
	1020	IF ( hom(nzb,1,18,sr) > 0.0 .AND. z_i(1) /= 0.0 ) THEN
[87]	1021	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
[94]	1022	hom(nzb,1,18,sr) * &
	1023	ABS( z_i(1) ) )**0.333333333
[1]	1024	!-- so far this only works if Prandtl layer is used
[87]	1025	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
[1]	1026	ELSE
[87]	1027	hom(nzb+8,1,pr_palm,sr) = 0.0
	1028	hom(nzb+11,1,pr_palm,sr) = 0.0
[1]	1029	ENDIF
	1030
[48]	1031	!
	1032	!-- Collect the time series quantities
[87]	1033	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	1034	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
[48]	1035	ts_value(3,sr) = dt_3d
[87]	1036	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	1037	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
[48]	1038	ts_value(6,sr) = u_max
	1039	ts_value(7,sr) = v_max
	1040	ts_value(8,sr) = w_max
[87]	1041	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	1042	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	1043	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	1044	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	1045	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
[48]	1046	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	1047	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	1048	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	1049	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	1050	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
[197]	1051	ts_value(19,sr) = hom(nzb+1,1,pr_palm,sr) ! u'w' at k=0
	1052	ts_value(20,sr) = hom(nzb+2,1,pr_palm,sr) ! v'w' at k=0
[343]	1053	ts_value(21,sr) = hom(nzb,1,48,sr) ! w"q" at k=0
[197]	1054
[48]	1055	IF ( ts_value(5,sr) /= 0.0 ) THEN
	1056	ts_value(22,sr) = ts_value(4,sr)**2 / &
	1057	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	1058	ELSE
	1059	ts_value(22,sr) = 10000.0
	1060	ENDIF
[1]	1061
[343]	1062	ts_value(23,sr) = hom(nzb+12,1,pr_palm,sr) ! q*
[1]	1063	!
[48]	1064	!-- Calculate additional statistics provided by the user interface
[87]	1065	CALL user_statistics( 'time_series', sr, 0 )
[1]	1066
[48]	1067	ENDDO ! loop of the subregions
	1068
[1]	1069	!
	1070	!-- If required, sum up horizontal averages for subsequent time averaging
	1071	IF ( do_sum ) THEN
	1072	IF ( average_count_pr == 0 ) hom_sum = 0.0
	1073	hom_sum = hom_sum + hom(:,1,:,:)
	1074	average_count_pr = average_count_pr + 1
	1075	do_sum = .FALSE.
	1076	ENDIF
	1077
	1078	!
	1079	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	1080	!-- This flag is reset after each time step in time_integration.
	1081	flow_statistics_called = .TRUE.
	1082
	1083	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	1084
	1085
	1086	END SUBROUTINE flow_statistics
	1087
	1088
	1089

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