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source: palm/trunk/SOURCE/flow_statistics.f90 @ 103

Last change on this file since 103 was 102, checked in by raasch, 17 years ago
preliminary version for coupled runs
Property svn:keywords set to `Id`
File size: 42.1 KB

Rev	Line
[1]	1	SUBROUTINE flow_statistics
	2
	3	!------------------------------------------------------------------------------!
	4	! Actual revisions:
	5	! -----------------
[102]	6	! Prescribed momentum fluxes at the top surface are used
[1]	7	!
	8	! Former revisions:
	9	! -----------------
[3]	10	! $Id: flow_statistics.f90 102 2007-07-27 09:09:17Z raasch $
[39]	11	!
[98]	12	! 97 2007-06-21 08:23:15Z raasch
	13	! Statistics for ocean version (salinity, density) added,
	14	! calculation of z_i and Deardorff velocity scale adjusted to be used with
	15	! the ocean version
	16	!
[90]	17	! 87 2007-05-22 15:46:47Z raasch
	18	! Two more arguments added to user_statistics, which is now also called for
	19	! user-defined profiles,
	20	! var_hom and var_sum renamed pr_palm
	21	!
[83]	22	! 82 2007-04-16 15:40:52Z raasch
	23	! Cpp-directive lcmuk changed to intel_openmp_bug
	24	!
[77]	25	! 75 2007-03-22 09:54:05Z raasch
	26	! Collection of time series quantities moved from routine flow_statistics to
	27	! here, routine user_statistics is called for each statistic region,
	28	! moisture renamed humidity
	29	!
[39]	30	! 19 2007-02-23 04:53:48Z raasch
[77]	31	! fluxes at top modified (tswst, qswst)
[39]	32	!
[3]	33	! RCS Log replace by Id keyword, revision history cleaned up
	34	!
[1]	35	! Revision 1.41 2006/08/04 14:37:50 raasch
	36	! Error removed in non-parallel part (sums_l)
	37	!
	38	! Revision 1.1 1997/08/11 06:15:17 raasch
	39	! Initial revision
	40	!
	41	!
	42	! Description:
	43	! ------------
	44	! Compute average profiles and further average flow quantities for the different
	45	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
	46	!
	47	! NOTE: For simplicity, nzb_s_outer and nzb_diff_s_outer are being used as a
	48	! ---- lower vertical index for k-loops for all variables so that regardless
	49	! of the variable and its respective staggered grid always the same number of
	50	! grid points is used for 2D averages. The disadvantage: depending on the
	51	! variable, up to one grid layer adjacent to the (vertical walls of the)
	52	! topography is missed out by this simplification.
	53	!------------------------------------------------------------------------------!
	54
	55	USE arrays_3d
	56	USE cloud_parameters
	57	USE cpulog
	58	USE grid_variables
	59	USE indices
	60	USE interfaces
	61	USE pegrid
	62	USE statistics
	63	USE control_parameters
	64
	65	IMPLICIT NONE
	66
	67	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
	68	LOGICAL :: first
	69	REAL :: height, pts, sums_l_eper, sums_l_etot, ust, ust2, u2, vst, &
	70	vst2, v2, w2, z_i(2)
	71	REAL :: sums_ll(nzb:nzt+1,2)
	72
	73
	74	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
	75
	76	!
	77	!-- To be on the safe side, check whether flow_statistics has already been
	78	!-- called once after the current time step
	79	IF ( flow_statistics_called ) THEN
	80	IF ( myid == 0 ) PRINT*, '+++ WARNING: flow_statistics is called two', &
	81	' times within one timestep'
	82	CALL local_stop
	83	ENDIF
	84
	85	!
	86	!-- Compute statistics for each (sub-)region
	87	DO sr = 0, statistic_regions
	88
	89	!
	90	!-- Initialize (local) summation array
	91	sums_l = 0.0
	92
	93	!
	94	!-- Store sums that have been computed in other subroutines in summation
	95	!-- array
	96	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
	97	!-- WARNING: next line still has to be adjusted for OpenMP
	98	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
[87]	99	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
	100	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
[1]	101	!-- WARNING: next four lines still may have to be adjusted for OpenMP
[87]	102	sums_l(nzb:nzb+2,pr_palm-1,0) = sums_up_fraction_l(1,1:3,sr)! upstream
	103	sums_l(nzb+3:nzb+5,pr_palm-1,0) = sums_up_fraction_l(2,1:3,sr)! parts
	104	sums_l(nzb+6:nzb+8,pr_palm-1,0) = sums_up_fraction_l(3,1:3,sr)! from
	105	sums_l(nzb+9:nzb+11,pr_palm-1,0) = sums_up_fraction_l(4,1:3,sr)! spline
[1]	106
	107	!
	108	!-- Horizontally averaged profiles of horizontal velocities and temperature.
	109	!-- They must have been computed before, because they are already required
	110	!-- for other horizontal averages.
	111	tn = 0
	112	!$OMP PARALLEL PRIVATE( i, j, k, tn )
[82]	113	#if defined( __intel_openmp_bug )
[1]	114	tn = omp_get_thread_num()
	115	#else
	116	!$ tn = omp_get_thread_num()
	117	#endif
	118
	119	!$OMP DO
	120	DO i = nxl, nxr
	121	DO j = nys, nyn
	122	DO k = nzb_s_outer(j,i), nzt+1
	123	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
	124	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
	125	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
	126	ENDDO
	127	ENDDO
	128	ENDDO
	129
	130	!
[96]	131	!-- Horizontally averaged profile of salinity
	132	IF ( ocean ) THEN
	133	!$OMP DO
	134	DO i = nxl, nxr
	135	DO j = nys, nyn
	136	DO k = nzb_s_outer(j,i), nzt+1
	137	sums_l(k,23,tn) = sums_l(k,23,tn) + &
	138	sa(k,j,i) * rmask(j,i,sr)
	139	ENDDO
	140	ENDDO
	141	ENDDO
	142	ENDIF
	143
	144	!
[1]	145	!-- Horizontally averaged profiles of virtual potential temperature,
	146	!-- total water content, specific humidity and liquid water potential
	147	!-- temperature
[75]	148	IF ( humidity ) THEN
[1]	149	!$OMP DO
	150	DO i = nxl, nxr
	151	DO j = nys, nyn
	152	DO k = nzb_s_outer(j,i), nzt+1
	153	sums_l(k,44,tn) = sums_l(k,44,tn) + &
	154	vpt(k,j,i) * rmask(j,i,sr)
	155	sums_l(k,41,tn) = sums_l(k,41,tn) + &
	156	q(k,j,i) * rmask(j,i,sr)
	157	ENDDO
	158	ENDDO
	159	ENDDO
	160	IF ( cloud_physics ) THEN
	161	!$OMP DO
	162	DO i = nxl, nxr
	163	DO j = nys, nyn
	164	DO k = nzb_s_outer(j,i), nzt+1
	165	sums_l(k,42,tn) = sums_l(k,42,tn) + &
	166	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
	167	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
	168	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
	169	) * rmask(j,i,sr)
	170	ENDDO
	171	ENDDO
	172	ENDDO
	173	ENDIF
	174	ENDIF
	175
	176	!
	177	!-- Horizontally averaged profiles of passive scalar
	178	IF ( passive_scalar ) THEN
	179	!$OMP DO
	180	DO i = nxl, nxr
	181	DO j = nys, nyn
	182	DO k = nzb_s_outer(j,i), nzt+1
	183	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
	184	ENDDO
	185	ENDDO
	186	ENDDO
	187	ENDIF
	188	!$OMP END PARALLEL
	189
	190	!
	191	!-- Summation of thread sums
	192	IF ( threads_per_task > 1 ) THEN
	193	DO i = 1, threads_per_task-1
	194	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
	195	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
	196	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
[96]	197	IF ( ocean ) THEN
	198	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
	199	ENDIF
[75]	200	IF ( humidity ) THEN
[1]	201	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	202	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
	203	IF ( cloud_physics ) THEN
	204	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
	205	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
	206	ENDIF
	207	ENDIF
	208	IF ( passive_scalar ) THEN
	209	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	210	ENDIF
	211	ENDDO
	212	ENDIF
	213
	214	#if defined( __parallel )
	215	!
	216	!-- Compute total sum from local sums
	217	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
	218	MPI_SUM, comm2d, ierr )
	219	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
	220	MPI_SUM, comm2d, ierr )
	221	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
	222	MPI_SUM, comm2d, ierr )
[96]	223	IF ( ocean ) THEN
	224	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
	225	MPI_REAL, MPI_SUM, comm2d, ierr )
	226	ENDIF
[75]	227	IF ( humidity ) THEN
[1]	228	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
	229	MPI_REAL, MPI_SUM, comm2d, ierr )
	230	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	231	MPI_REAL, MPI_SUM, comm2d, ierr )
	232	IF ( cloud_physics ) THEN
	233	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
	234	MPI_REAL, MPI_SUM, comm2d, ierr )
	235	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
	236	MPI_REAL, MPI_SUM, comm2d, ierr )
	237	ENDIF
	238	ENDIF
	239
	240	IF ( passive_scalar ) THEN
	241	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	242	MPI_REAL, MPI_SUM, comm2d, ierr )
	243	ENDIF
	244	#else
	245	sums(:,1) = sums_l(:,1,0)
	246	sums(:,2) = sums_l(:,2,0)
	247	sums(:,4) = sums_l(:,4,0)
[96]	248	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
[75]	249	IF ( humidity ) THEN
[1]	250	sums(:,44) = sums_l(:,44,0)
	251	sums(:,41) = sums_l(:,41,0)
	252	IF ( cloud_physics ) THEN
	253	sums(:,42) = sums_l(:,42,0)
	254	sums(:,43) = sums_l(:,43,0)
	255	ENDIF
	256	ENDIF
	257	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
	258	#endif
	259
	260	!
	261	!-- Final values are obtained by division by the total number of grid points
	262	!-- used for summation. After that store profiles.
	263	sums(:,1) = sums(:,1) / ngp_2dh_outer(:,sr)
	264	sums(:,2) = sums(:,2) / ngp_2dh_outer(:,sr)
	265	sums(:,4) = sums(:,4) / ngp_2dh_outer(:,sr)
	266	hom(:,1,1,sr) = sums(:,1) ! u
	267	hom(:,1,2,sr) = sums(:,2) ! v
	268	hom(:,1,4,sr) = sums(:,4) ! pt
	269
	270	!
[96]	271	!-- Salinity
	272	IF ( ocean ) THEN
	273	sums(:,23) = sums(:,23) / ngp_2dh_outer(:,sr)
	274	hom(:,1,23,sr) = sums(:,23) ! sa
	275	ENDIF
	276
	277	!
[1]	278	!-- Humidity and cloud parameters
[75]	279	IF ( humidity ) THEN
[1]	280	sums(:,44) = sums(:,44) / ngp_2dh_outer(:,sr)
	281	sums(:,41) = sums(:,41) / ngp_2dh_outer(:,sr)
	282	hom(:,1,44,sr) = sums(:,44) ! vpt
	283	hom(:,1,41,sr) = sums(:,41) ! qv (q)
	284	IF ( cloud_physics ) THEN
	285	sums(:,42) = sums(:,42) / ngp_2dh_outer(:,sr)
	286	sums(:,43) = sums(:,43) / ngp_2dh_outer(:,sr)
	287	hom(:,1,42,sr) = sums(:,42) ! qv
	288	hom(:,1,43,sr) = sums(:,43) ! pt
	289	ENDIF
	290	ENDIF
	291
	292	!
	293	!-- Passive scalar
	294	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / ngp_2dh_outer(:,sr)
	295
	296	!
	297	!-- Horizontally averaged profiles of the remaining prognostic variables,
	298	!-- variances, the total and the perturbation energy (single values in last
	299	!-- column of sums_l) and some diagnostic quantities.
	300	!-- NOTE: for simplicity, nzb_s_outer is used below, although strictly
	301	!-- ---- speaking the following k-loop would have to be split up and
	302	!-- rearranged according to the staggered grid.
	303	tn = 0
[82]	304	#if defined( __intel_openmp_bug )
[1]	305	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
	306	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
	307	tn = omp_get_thread_num()
	308	#else
	309	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
	310	!$ tn = omp_get_thread_num()
	311	#endif
	312	!$OMP DO
	313	DO i = nxl, nxr
	314	DO j = nys, nyn
	315	sums_l_etot = 0.0
	316	sums_l_eper = 0.0
	317	DO k = nzb_s_outer(j,i), nzt+1
	318	u2 = u(k,j,i)**2
	319	v2 = v(k,j,i)**2
	320	w2 = w(k,j,i)**2
	321	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
	322	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
	323	!
	324	!-- Prognostic and diagnostic variables
	325	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
	326	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
	327	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
	328	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
	329	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
	330
	331	!
	332	!-- Variances
	333	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
	334	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
	335	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
	336	sums_l(k,33,tn) = sums_l(k,33,tn) + &
	337	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
	338	!
	339	!-- Higher moments
	340	!-- (Computation of the skewness of w further below)
	341	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i) * w2 * &
	342	rmask(j,i,sr)
	343	!
	344	!-- Perturbation energy
	345	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * ( ust2 + vst2 + w2 ) &
	346	* rmask(j,i,sr)
	347	sums_l_etot = sums_l_etot + &
	348	0.5 * ( u2 + v2 + w2 ) * rmask(j,i,sr)
	349	sums_l_eper = sums_l_eper + &
	350	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
	351	ENDDO
	352	!
	353	!-- Total and perturbation energy for the total domain (being
	354	!-- collected in the last column of sums_l). Summation of these
	355	!-- quantities is seperated from the previous loop in order to
	356	!-- allow vectorization of that loop.
[87]	357	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
	358	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) + sums_l_eper
[1]	359	!
	360	!-- 2D-arrays (being collected in the last column of sums_l)
[87]	361	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
[1]	362	us(j,i) * rmask(j,i,sr)
[87]	363	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
[1]	364	usws(j,i) * rmask(j,i,sr)
[87]	365	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
[1]	366	vsws(j,i) * rmask(j,i,sr)
[87]	367	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
[1]	368	ts(j,i) * rmask(j,i,sr)
	369	ENDDO
	370	ENDDO
	371
	372	!
	373	!-- Horizontally averaged profiles of the vertical fluxes
	374	!$OMP DO
	375	DO i = nxl, nxr
	376	DO j = nys, nyn
	377	!
	378	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
	379	!-- oterwise from k=nzb+1)
	380	!-- NOTE: for simplicity, nzb_diff_s_outer is used below, although
	381	!-- ---- strictly speaking the following k-loop would have to be
	382	!-- split up according to the staggered grid.
[102]	383	DO k = nzb_diff_s_outer(j,i)-1, nzt_diff
[1]	384	!
	385	!-- Momentum flux w"u"
	386	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
	387	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
	388	) * ( &
	389	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	390	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	391	) * rmask(j,i,sr)
	392	!
	393	!-- Momentum flux w"v"
	394	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
	395	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
	396	) * ( &
	397	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	398	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	399	) * rmask(j,i,sr)
	400	!
	401	!-- Heat flux w"pt"
	402	sums_l(k,16,tn) = sums_l(k,16,tn) &
	403	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	404	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	405	* ddzu(k+1) * rmask(j,i,sr)
	406
	407
	408	!
[96]	409	!-- Salinity flux w"sa"
	410	IF ( ocean ) THEN
	411	sums_l(k,65,tn) = sums_l(k,65,tn) &
	412	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	413	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	414	* ddzu(k+1) * rmask(j,i,sr)
	415	ENDIF
	416
	417	!
[1]	418	!-- Buoyancy flux, water flux (humidity flux) w"q"
[75]	419	IF ( humidity ) THEN
[1]	420	sums_l(k,45,tn) = sums_l(k,45,tn) &
	421	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	422	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	423	* ddzu(k+1) * rmask(j,i,sr)
	424	sums_l(k,48,tn) = sums_l(k,48,tn) &
	425	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	426	* ( q(k+1,j,i) - q(k,j,i) ) &
	427	* ddzu(k+1) * rmask(j,i,sr)
	428	IF ( cloud_physics ) THEN
	429	sums_l(k,51,tn) = sums_l(k,51,tn) &
	430	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	431	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
	432	- ( q(k,j,i) - ql(k,j,i) ) ) &
	433	* ddzu(k+1) * rmask(j,i,sr)
	434	ENDIF
	435	ENDIF
	436
	437	!
	438	!-- Passive scalar flux
	439	IF ( passive_scalar ) THEN
	440	sums_l(k,48,tn) = sums_l(k,48,tn) &
	441	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	442	* ( q(k+1,j,i) - q(k,j,i) ) &
	443	* ddzu(k+1) * rmask(j,i,sr)
	444	ENDIF
	445
	446	ENDDO
	447
	448	!
	449	!-- Subgridscale fluxes in the Prandtl layer
	450	IF ( use_surface_fluxes ) THEN
	451	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
	452	usws(j,i) * rmask(j,i,sr) ! w"u"
	453	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
	454	vsws(j,i) * rmask(j,i,sr) ! w"v"
	455	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
	456	shf(j,i) * rmask(j,i,sr) ! w"pt"
	457	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
	458	0.0 * rmask(j,i,sr) ! u"pt"
	459	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
	460	0.0 * rmask(j,i,sr) ! v"pt"
[96]	461	IF ( ocean ) THEN
	462	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
	463	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	464	ENDIF
[75]	465	IF ( humidity ) THEN
[1]	466	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	467	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	468	IF ( cloud_physics ) THEN
	469	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	470	( 1.0 + 0.61 * q(nzb,j,i) ) * &
	471	shf(j,i) + 0.61 * pt(nzb,j,i) * &
	472	qsws(j,i) &
	473	)
	474	!
	475	!-- Formula does not work if ql(nzb) /= 0.0
	476	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
	477	qsws(j,i) * rmask(j,i,sr)
	478	ENDIF
	479	ENDIF
	480	IF ( passive_scalar ) THEN
	481	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	482	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	483	ENDIF
	484	ENDIF
	485
	486	!
[19]	487	!-- Subgridscale fluxes at the top surface
	488	IF ( use_top_fluxes ) THEN
[102]	489	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
	490	uswst(j,i) * rmask(j,i,sr) ! w"u"
	491	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
	492	vswst(j,i) * rmask(j,i,sr) ! w"v"
[19]	493	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
	494	tswst(j,i) * rmask(j,i,sr) ! w"pt"
	495	sums_l(nzt,58,tn) = sums_l(nzt,58,tn) + &
	496	0.0 * rmask(j,i,sr) ! u"pt"
	497	sums_l(nzt,61,tn) = sums_l(nzt,61,tn) + &
	498	0.0 * rmask(j,i,sr) ! v"pt"
[96]	499	IF ( ocean ) THEN
	500	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
	501	saswst(j,i) * rmask(j,i,sr) ! w"sa"
	502	ENDIF
[75]	503	IF ( humidity ) THEN
[19]	504	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
	505	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	506	IF ( cloud_physics ) THEN
	507	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	508	( 1.0 + 0.61 * q(nzt,j,i) ) * &
	509	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
	510	qsws(j,i) &
	511	)
	512	!
	513	!-- Formula does not work if ql(nzb) /= 0.0
	514	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
	515	qswst(j,i) * rmask(j,i,sr)
	516	ENDIF
	517	ENDIF
	518	IF ( passive_scalar ) THEN
	519	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
	520	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	521	ENDIF
	522	ENDIF
	523
	524	!
[1]	525	!-- Resolved fluxes (can be computed for all horizontal points)
	526	!-- NOTE: for simplicity, nzb_s_outer is used below, although strictly
	527	!-- ---- speaking the following k-loop would have to be split up and
	528	!-- rearranged according to the staggered grid.
	529	DO k = nzb_s_outer(j,i), nzt
	530	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	531	u(k+1,j,i) - hom(k+1,1,1,sr) )
	532	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	533	v(k+1,j,i) - hom(k+1,1,2,sr) )
	534	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	535	pt(k+1,j,i) - hom(k+1,1,4,sr) )
	536	!
	537	!-- Momentum flux wu
	538	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
	539	( w(k,j,i-1) + w(k,j,i) ) &
	540	* ust * rmask(j,i,sr)
	541	!
	542	!-- Momentum flux wv
	543	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
	544	( w(k,j-1,i) + w(k,j,i) ) &
	545	* vst * rmask(j,i,sr)
	546	!
	547	!-- Heat flux wpt
	548	!-- The following formula (comment line, not executed) does not
	549	!-- work if applied to subregions
	550	! sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
	551	! ( pt(k,j,i)+pt(k+1,j,i) ) &
	552	! * w(k,j,i) * rmask(j,i,sr)
	553	sums_l(k,17,tn) = sums_l(k,17,tn) + pts * w(k,j,i) * &
	554	rmask(j,i,sr)
	555	!
	556	!-- Higher moments
	557	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
	558	rmask(j,i,sr)
	559	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
	560	rmask(j,i,sr)
	561
	562	!
[96]	563	!-- Salinity flux and density (density does not belong to here,
[97]	564	!-- but so far there is no other suitable place to calculate)
[96]	565	IF ( ocean ) THEN
	566	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
	567	sa(k+1,j,i) - hom(k+1,1,23,sr) )
	568	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
	569	rmask(j,i,sr)
	570	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
	571	rmask(j,i,sr)
	572	ENDIF
	573
	574	!
[1]	575	!-- Buoyancy flux, water flux, humidity flux and liquid water
	576	!-- content
[75]	577	IF ( humidity ) THEN
[1]	578	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	579	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	580	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
	581	rmask(j,i,sr)
	582	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	583	q(k+1,j,i) - hom(k+1,1,41,sr) )
	584	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	585	rmask(j,i,sr)
	586	IF ( cloud_physics .OR. cloud_droplets ) THEN
	587	pts = 0.5 * &
	588	( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) &
	589	+ ( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) )
	590	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
	591	rmask(j,i,sr)
	592	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
	593	rmask(j,i,sr)
	594	ENDIF
	595	ENDIF
	596
	597	!
	598	!-- Passive scalar flux
	599	IF ( passive_scalar ) THEN
	600	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	601	q(k+1,j,i) - hom(k+1,1,41,sr) )
	602	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	603	rmask(j,i,sr)
	604	ENDIF
	605
	606	!
	607	!-- Energy flux we
	608	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
	609	( ust2 + vst2 + w(k,j,i)**2 )&
	610	* rmask(j,i,sr)
	611
	612	ENDDO
	613	ENDDO
	614	ENDDO
	615
	616	!
[97]	617	!-- Density at top follows Neumann condition
	618	IF ( ocean ) sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	619
	620	!
[1]	621	!-- Divergence of vertical flux of resolved scale energy and pressure
	622	!-- fluctuations. First calculate the products, then the divergence.
	623	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
	624	IF ( hom(nzb+1,2,55,0) /= 0.0 ) THEN
	625
	626	sums_ll = 0.0 ! local array
	627
	628	!$OMP DO
	629	DO i = nxl, nxr
	630	DO j = nys, nyn
	631	DO k = nzb_s_outer(j,i)+1, nzt
	632
	633	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	634	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
	635	- 2.0 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
	636	) )**2 &
	637	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
	638	- 2.0 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
	639	) )**2 &
	640	+ w(k,j,i)**2 )
	641
	642	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	643	* ( p(k,j,i) + p(k+1,j,i) )
	644
	645	ENDDO
	646	ENDDO
	647	ENDDO
	648	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	649	sums_ll(nzt+1,1) = 0.0
	650	sums_ll(0,2) = 0.0
	651	sums_ll(nzt+1,2) = 0.0
	652
	653	DO k = nzb_s_outer(j,i)+1, nzt
	654	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	655	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
	656	ENDDO
	657	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	658	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
	659
	660	ENDIF
	661
	662	!
	663	!-- Divergence of vertical flux of SGS TKE
	664	IF ( hom(nzb+1,2,57,0) /= 0.0 ) THEN
	665
	666	!$OMP DO
	667	DO i = nxl, nxr
	668	DO j = nys, nyn
	669	DO k = nzb_s_outer(j,i)+1, nzt
	670
	671	sums_l(k,57,tn) = sums_l(k,57,tn) + ( &
	672	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	673	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
	674	) * ddzw(k)
	675
	676	ENDDO
	677	ENDDO
	678	ENDDO
	679	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
	680
	681	ENDIF
	682
	683	!
	684	!-- Horizontal heat fluxes (subgrid, resolved, total).
	685	!-- Do it only, if profiles shall be plotted.
	686	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	687
	688	!$OMP DO
	689	DO i = nxl, nxr
	690	DO j = nys, nyn
	691	DO k = nzb_s_outer(j,i)+1, nzt
	692	!
	693	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	694	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	695	( kh(k,j,i) + kh(k,j,i-1) ) &
	696	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	697	* ddx * rmask(j,i,sr)
	698	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	699	( kh(k,j,i) + kh(k,j-1,i) ) &
	700	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	701	* ddy * rmask(j,i,sr)
	702	!
	703	!-- Resolved horizontal heat fluxes upt, vpt
	704	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	705	( u(k,j,i) - hom(k,1,1,sr) ) &
	706	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	707	pt(k,j,i) - hom(k,1,4,sr) )
	708	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	709	pt(k,j,i) - hom(k,1,4,sr) )
	710	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	711	( v(k,j,i) - hom(k,1,2,sr) ) &
	712	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	713	pt(k,j,i) - hom(k,1,4,sr) )
	714	ENDDO
	715	ENDDO
	716	ENDDO
	717	!
	718	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
[97]	719	sums_l(nzb,58,tn) = 0.0
	720	sums_l(nzb,59,tn) = 0.0
	721	sums_l(nzb,60,tn) = 0.0
	722	sums_l(nzb,61,tn) = 0.0
	723	sums_l(nzb,62,tn) = 0.0
	724	sums_l(nzb,63,tn) = 0.0
[1]	725
	726	ENDIF
[87]	727
	728	!
	729	!-- Calculate the user-defined profiles
	730	CALL user_statistics( 'profiles', sr, tn )
[1]	731	!$OMP END PARALLEL
	732
	733	!
	734	!-- Summation of thread sums
	735	IF ( threads_per_task > 1 ) THEN
	736	DO i = 1, threads_per_task-1
	737	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	738	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
[87]	739	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	740	sums_l(:,45:pr_palm,i)
	741	IF ( max_pr_user > 0 ) THEN
	742	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	743	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	744	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	745	ENDIF
[1]	746	ENDDO
	747	ENDIF
	748
	749	#if defined( __parallel )
	750	!
	751	!-- Compute total sum from local sums
	752	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	753	MPI_SUM, comm2d, ierr )
	754	#else
	755	sums = sums_l(:,:,0)
	756	#endif
	757
	758	!
	759	!-- Final values are obtained by division by the total number of grid points
	760	!-- used for summation. After that store profiles.
	761	!-- Profiles:
	762	DO k = nzb, nzt+1
[87]	763	sums(k,:pr_palm-2) = sums(k,:pr_palm-2) / ngp_2dh_outer(k,sr)
[1]	764	ENDDO
	765	!-- Upstream-parts
[87]	766	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
[1]	767	!-- u* and so on
[87]	768	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
[1]	769	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	770	!-- above the topography, they are being divided by ngp_2dh(sr)
[87]	771	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
[1]	772	ngp_2dh(sr)
	773	!-- eges, e*
[87]	774	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
[1]	775	ngp_3d_inner(sr)
	776	!-- Old and new divergence
[87]	777	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
[1]	778	ngp_3d_inner(sr)
	779
[87]	780	!-- User-defined profiles
	781	IF ( max_pr_user > 0 ) THEN
	782	DO k = nzb, nzt+1
	783	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	784	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
	785	ngp_2dh_outer(k,sr)
	786	ENDDO
	787	ENDIF
	788
[1]	789	!
	790	!-- Collect horizontal average in hom.
	791	!-- Compute deduced averages (e.g. total heat flux)
	792	hom(:,1,3,sr) = sums(:,3) ! w
	793	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	794	hom(:,1,9,sr) = sums(:,9) ! km
	795	hom(:,1,10,sr) = sums(:,10) ! kh
	796	hom(:,1,11,sr) = sums(:,11) ! l
	797	hom(:,1,12,sr) = sums(:,12) ! w"u"
	798	hom(:,1,13,sr) = sums(:,13) ! wu
	799	hom(:,1,14,sr) = sums(:,14) ! w"v"
	800	hom(:,1,15,sr) = sums(:,15) ! wv
	801	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	802	hom(:,1,17,sr) = sums(:,17) ! wpt
	803	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	804	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	805	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	806	hom(:,1,21,sr) = sums(:,21) ! wptBC
	807	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
[96]	808	! profile 24 is initial profile (sa)
	809	! profiles 25-29 left empty for initial
[1]	810	! profiles
	811	hom(:,1,30,sr) = sums(:,30) ! u*2
	812	hom(:,1,31,sr) = sums(:,31) ! v*2
	813	hom(:,1,32,sr) = sums(:,32) ! w*2
	814	hom(:,1,33,sr) = sums(:,33) ! pt*2
	815	hom(:,1,34,sr) = sums(:,34) ! e*
	816	hom(:,1,35,sr) = sums(:,35) ! w2pt
	817	hom(:,1,36,sr) = sums(:,36) ! wpt2
	818	hom(:,1,37,sr) = sums(:,37) ! we
	819	hom(:,1,38,sr) = sums(:,38) ! w*3
	820	hom(:,1,39,sr) = sums(:,38) / ( sums(:,32) + 1E-20 )**1.5 ! Sw
	821	hom(:,1,40,sr) = sums(:,40) ! p
	822	hom(:,1,45,sr) = sums(:,45) ! w"q"
	823	hom(:,1,46,sr) = sums(:,46) ! wvpt
	824	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	825	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	826	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	827	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	828	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	829	hom(:,1,52,sr) = sums(:,52) ! wqv
	830	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	831	hom(:,1,54,sr) = sums(:,54) ! ql
	832	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	833	hom(:,1,56,sr) = sums(:,56) ! wp/dz
	834	hom(:,1,57,sr) = sums(:,57) ! w"e/dz
	835	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	836	hom(:,1,59,sr) = sums(:,59) ! upt
	837	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	838	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	839	hom(:,1,62,sr) = sums(:,62) ! vpt
	840	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
[96]	841	hom(:,1,64,sr) = sums(:,64) ! rho
	842	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	843	hom(:,1,66,sr) = sums(:,66) ! wsa
	844	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
[1]	845
[87]	846	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
[1]	847	! upstream-parts u_x, u_y, u_z, v_x,
	848	! v_y, usw. (in last but one profile)
[87]	849	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
[1]	850	! u, w'u', w'v', t (in last profile)
	851
[87]	852	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	853	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	854	sums(:,pr_palm+1:pr_palm+max_pr_user)
	855	ENDIF
	856
[1]	857	!
	858	!-- Determine the boundary layer height using two different schemes.
[94]	859	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	860	!-- first relative minimum (maximum) of the total heat flux.
	861	!-- The corresponding height is assumed as the boundary layer height, if it
	862	!-- is less than 1.5 times the height where the heat flux becomes negative
	863	!-- (positive) for the first time.
[1]	864	!-- NOTE: This criterion is still capable of improving!
	865	z_i(1) = 0.0
	866	first = .TRUE.
[97]	867	IF ( ocean ) THEN
	868	DO k = nzt, nzb+1, -1
	869	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
	870	first = .FALSE.
	871	height = zw(k)
	872	ENDIF
	873	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	874	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	875	IF ( zw(k) < 1.5 * height ) THEN
	876	z_i(1) = zw(k)
	877	ELSE
	878	z_i(1) = height
	879	ENDIF
	880	EXIT
	881	ENDIF
	882	ENDDO
	883	ELSE
[94]	884	DO k = nzb, nzt-1
	885	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
	886	first = .FALSE.
	887	height = zw(k)
[1]	888	ENDIF
[94]	889	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	890	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	891	IF ( zw(k) < 1.5 * height ) THEN
	892	z_i(1) = zw(k)
	893	ELSE
	894	z_i(1) = height
	895	ENDIF
	896	EXIT
	897	ENDIF
	898	ENDDO
[97]	899	ENDIF
[1]	900
	901	!
[97]	902	!-- Second scheme: Starting from the top/bottom model boundary, look for
	903	!-- the first characteristic kink in the temperature profile, where the
	904	!-- originally stable stratification notably weakens.
[1]	905	z_i(2) = 0.0
[97]	906	IF ( ocean ) THEN
	907	DO k = nzb+1, nzt-1
	908	IF ( ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) > &
	909	2.0 * ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) ) THEN
	910	z_i(2) = zu(k)
	911	EXIT
	912	ENDIF
	913	ENDDO
	914	ELSE
	915	DO k = nzt-1, nzb+1, -1
	916	IF ( ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) > &
	917	2.0 * ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) ) THEN
	918	z_i(2) = zu(k)
	919	EXIT
	920	ENDIF
	921	ENDDO
	922	ENDIF
[1]	923
[87]	924	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	925	hom(nzb+7,1,pr_palm,sr) = z_i(2)
[1]	926
	927	!
	928	!-- Computation of both the characteristic vertical velocity and
	929	!-- the characteristic convective boundary layer temperature.
	930	!-- The horizontal average at nzb+1 is input for the average temperature.
	931	IF ( hom(nzb,1,18,sr) > 0.0 .AND. z_i(1) /= 0.0 ) THEN
[87]	932	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
[94]	933	hom(nzb,1,18,sr) * &
	934	ABS( z_i(1) ) )**0.333333333
[1]	935	!-- so far this only works if Prandtl layer is used
[87]	936	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
[1]	937	ELSE
[87]	938	hom(nzb+8,1,pr_palm,sr) = 0.0
	939	hom(nzb+11,1,pr_palm,sr) = 0.0
[1]	940	ENDIF
	941
[48]	942	!
	943	!-- Collect the time series quantities
[87]	944	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	945	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
[48]	946	ts_value(3,sr) = dt_3d
[87]	947	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	948	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
[48]	949	ts_value(6,sr) = u_max
	950	ts_value(7,sr) = v_max
	951	ts_value(8,sr) = w_max
[87]	952	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	953	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	954	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	955	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	956	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
[48]	957	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	958	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	959	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	960	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	961	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
[87]	962	ts_value(19,sr) = hom(nzb+9,1,pr_palm-1,sr) ! splptx
	963	ts_value(20,sr) = hom(nzb+10,1,pr_palm-1,sr) ! splpty
	964	ts_value(21,sr) = hom(nzb+11,1,pr_palm-1,sr) ! splptz
[48]	965	IF ( ts_value(5,sr) /= 0.0 ) THEN
	966	ts_value(22,sr) = ts_value(4,sr)**2 / &
	967	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	968	ELSE
	969	ts_value(22,sr) = 10000.0
	970	ENDIF
[1]	971
	972	!
[48]	973	!-- Calculate additional statistics provided by the user interface
[87]	974	CALL user_statistics( 'time_series', sr, 0 )
[1]	975
[48]	976	ENDDO ! loop of the subregions
	977
[1]	978	!
	979	!-- If required, sum up horizontal averages for subsequent time averaging
	980	IF ( do_sum ) THEN
	981	IF ( average_count_pr == 0 ) hom_sum = 0.0
	982	hom_sum = hom_sum + hom(:,1,:,:)
	983	average_count_pr = average_count_pr + 1
	984	do_sum = .FALSE.
	985	ENDIF
	986
	987	!
	988	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	989	!-- This flag is reset after each time step in time_integration.
	990	flow_statistics_called = .TRUE.
	991
	992	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	993
	994
	995	END SUBROUTINE flow_statistics
	996
	997
	998

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