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source: palm/trunk/SOURCE/flow_statistics.f90 @ 284

Last change on this file since 284 was 274, checked in by heinze, 16 years ago
Indentation of the message calls corrected
Property svn:keywords set to `Id`
File size: 44.5 KB

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

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