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source: palm/trunk/SOURCE/flow_statistics.f90 @ 207

Last change on this file since 207 was 198, checked in by raasch, 16 years ago
file headers updated for the next release 3.5
Property svn:keywords set to `Id`
File size: 44.5 KB

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

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