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source: palm/trunk/SOURCE/flow_statistics.f90 @ 328

Last change on this file since 328 was 305, checked in by raasch, 16 years ago
bugfix in Makefile, default value of grid_matching changed to strict
Property svn:keywords set to `Id`
File size: 45.3 KB

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

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