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source: palm/trunk/SOURCE/flow_statistics.f90 @ 268

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

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