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source: palm/trunk/SOURCE/flow_statistics.f90 @ 375

Last change on this file since 375 was 343, checked in by maronga, 16 years ago
adjustments for lcxt4 and ibmy, allow user 2d xy cross section output at z=nzb+1
Property svn:keywords set to `Id`
File size: 45.5 KB

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

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