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source: palm/trunk/SOURCE/flow_statistics.f90 @ 100

Last change on this file since 100 was 98, checked in by raasch, 17 years ago
updating comments and rc-file
Property svn:keywords set to `Id`
File size: 41.8 KB

Rev	Line
[1]	1	SUBROUTINE flow_statistics
	2
	3	!------------------------------------------------------------------------------!
	4	! Actual revisions:
	5	! -----------------
[98]	6	!
[1]	7	!
	8	! Former revisions:
	9	! -----------------
[3]	10	! $Id: flow_statistics.f90 98 2007-06-21 09:36:33Z 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.
	383	DO k = nzb_diff_s_outer(j,i)-1, nzt
	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)
[19]	400	ENDDO
	401
	402	DO k = nzb_diff_s_outer(j,i)-1, nzt_diff
[1]	403	!
	404	!-- Heat flux w"pt"
	405	sums_l(k,16,tn) = sums_l(k,16,tn) &
	406	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	407	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	408	* ddzu(k+1) * rmask(j,i,sr)
	409
	410
	411	!
[96]	412	!-- Salinity flux w"sa"
	413	IF ( ocean ) THEN
	414	sums_l(k,65,tn) = sums_l(k,65,tn) &
	415	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	416	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	417	* ddzu(k+1) * rmask(j,i,sr)
	418	ENDIF
	419
	420	!
[1]	421	!-- Buoyancy flux, water flux (humidity flux) w"q"
[75]	422	IF ( humidity ) THEN
[1]	423	sums_l(k,45,tn) = sums_l(k,45,tn) &
	424	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	425	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	426	* ddzu(k+1) * rmask(j,i,sr)
	427	sums_l(k,48,tn) = sums_l(k,48,tn) &
	428	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	429	* ( q(k+1,j,i) - q(k,j,i) ) &
	430	* ddzu(k+1) * rmask(j,i,sr)
	431	IF ( cloud_physics ) THEN
	432	sums_l(k,51,tn) = sums_l(k,51,tn) &
	433	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	434	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
	435	- ( q(k,j,i) - ql(k,j,i) ) ) &
	436	* ddzu(k+1) * rmask(j,i,sr)
	437	ENDIF
	438	ENDIF
	439
	440	!
	441	!-- Passive scalar flux
	442	IF ( passive_scalar ) THEN
	443	sums_l(k,48,tn) = sums_l(k,48,tn) &
	444	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	445	* ( q(k+1,j,i) - q(k,j,i) ) &
	446	* ddzu(k+1) * rmask(j,i,sr)
	447	ENDIF
	448
	449	ENDDO
	450
	451	!
	452	!-- Subgridscale fluxes in the Prandtl layer
	453	IF ( use_surface_fluxes ) THEN
	454	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
	455	usws(j,i) * rmask(j,i,sr) ! w"u"
	456	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
	457	vsws(j,i) * rmask(j,i,sr) ! w"v"
	458	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
	459	shf(j,i) * rmask(j,i,sr) ! w"pt"
	460	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
	461	0.0 * rmask(j,i,sr) ! u"pt"
	462	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
	463	0.0 * rmask(j,i,sr) ! v"pt"
[96]	464	IF ( ocean ) THEN
	465	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
	466	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	467	ENDIF
[75]	468	IF ( humidity ) THEN
[1]	469	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	470	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	471	IF ( cloud_physics ) THEN
	472	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	473	( 1.0 + 0.61 * q(nzb,j,i) ) * &
	474	shf(j,i) + 0.61 * pt(nzb,j,i) * &
	475	qsws(j,i) &
	476	)
	477	!
	478	!-- Formula does not work if ql(nzb) /= 0.0
	479	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
	480	qsws(j,i) * rmask(j,i,sr)
	481	ENDIF
	482	ENDIF
	483	IF ( passive_scalar ) THEN
	484	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	485	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	486	ENDIF
	487	ENDIF
	488
	489	!
[19]	490	!-- Subgridscale fluxes at the top surface
	491	IF ( use_top_fluxes ) THEN
	492	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
	493	tswst(j,i) * rmask(j,i,sr) ! w"pt"
	494	sums_l(nzt,58,tn) = sums_l(nzt,58,tn) + &
	495	0.0 * rmask(j,i,sr) ! u"pt"
	496	sums_l(nzt,61,tn) = sums_l(nzt,61,tn) + &
	497	0.0 * rmask(j,i,sr) ! v"pt"
[96]	498	IF ( ocean ) THEN
	499	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
	500	saswst(j,i) * rmask(j,i,sr) ! w"sa"
	501	ENDIF
[75]	502	IF ( humidity ) THEN
[19]	503	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
	504	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	505	IF ( cloud_physics ) THEN
	506	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	507	( 1.0 + 0.61 * q(nzt,j,i) ) * &
	508	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
	509	qsws(j,i) &
	510	)
	511	!
	512	!-- Formula does not work if ql(nzb) /= 0.0
	513	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
	514	qswst(j,i) * rmask(j,i,sr)
	515	ENDIF
	516	ENDIF
	517	IF ( passive_scalar ) THEN
	518	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
	519	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	520	ENDIF
	521	ENDIF
	522
	523	!
[1]	524	!-- Resolved fluxes (can be computed for all horizontal points)
	525	!-- NOTE: for simplicity, nzb_s_outer is used below, although strictly
	526	!-- ---- speaking the following k-loop would have to be split up and
	527	!-- rearranged according to the staggered grid.
	528	DO k = nzb_s_outer(j,i), nzt
	529	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	530	u(k+1,j,i) - hom(k+1,1,1,sr) )
	531	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	532	v(k+1,j,i) - hom(k+1,1,2,sr) )
	533	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	534	pt(k+1,j,i) - hom(k+1,1,4,sr) )
	535	!
	536	!-- Momentum flux wu
	537	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
	538	( w(k,j,i-1) + w(k,j,i) ) &
	539	* ust * rmask(j,i,sr)
	540	!
	541	!-- Momentum flux wv
	542	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
	543	( w(k,j-1,i) + w(k,j,i) ) &
	544	* vst * rmask(j,i,sr)
	545	!
	546	!-- Heat flux wpt
	547	!-- The following formula (comment line, not executed) does not
	548	!-- work if applied to subregions
	549	! sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
	550	! ( pt(k,j,i)+pt(k+1,j,i) ) &
	551	! * w(k,j,i) * rmask(j,i,sr)
	552	sums_l(k,17,tn) = sums_l(k,17,tn) + pts * w(k,j,i) * &
	553	rmask(j,i,sr)
	554	!
	555	!-- Higher moments
	556	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
	557	rmask(j,i,sr)
	558	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
	559	rmask(j,i,sr)
	560
	561	!
[96]	562	!-- Salinity flux and density (density does not belong to here,
[97]	563	!-- but so far there is no other suitable place to calculate)
[96]	564	IF ( ocean ) THEN
	565	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
	566	sa(k+1,j,i) - hom(k+1,1,23,sr) )
	567	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
	568	rmask(j,i,sr)
	569	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
	570	rmask(j,i,sr)
	571	ENDIF
	572
	573	!
[1]	574	!-- Buoyancy flux, water flux, humidity flux and liquid water
	575	!-- content
[75]	576	IF ( humidity ) THEN
[1]	577	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	578	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	579	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
	580	rmask(j,i,sr)
	581	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	582	q(k+1,j,i) - hom(k+1,1,41,sr) )
	583	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	584	rmask(j,i,sr)
	585	IF ( cloud_physics .OR. cloud_droplets ) THEN
	586	pts = 0.5 * &
	587	( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) &
	588	+ ( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) )
	589	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
	590	rmask(j,i,sr)
	591	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
	592	rmask(j,i,sr)
	593	ENDIF
	594	ENDIF
	595
	596	!
	597	!-- Passive scalar flux
	598	IF ( passive_scalar ) THEN
	599	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	600	q(k+1,j,i) - hom(k+1,1,41,sr) )
	601	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	602	rmask(j,i,sr)
	603	ENDIF
	604
	605	!
	606	!-- Energy flux we
	607	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
	608	( ust2 + vst2 + w(k,j,i)**2 )&
	609	* rmask(j,i,sr)
	610
	611	ENDDO
	612	ENDDO
	613	ENDDO
	614
	615	!
[97]	616	!-- Density at top follows Neumann condition
	617	IF ( ocean ) sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	618
	619	!
[1]	620	!-- Divergence of vertical flux of resolved scale energy and pressure
	621	!-- fluctuations. First calculate the products, then the divergence.
	622	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
	623	IF ( hom(nzb+1,2,55,0) /= 0.0 ) THEN
	624
	625	sums_ll = 0.0 ! local array
	626
	627	!$OMP DO
	628	DO i = nxl, nxr
	629	DO j = nys, nyn
	630	DO k = nzb_s_outer(j,i)+1, nzt
	631
	632	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	633	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
	634	- 2.0 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
	635	) )**2 &
	636	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
	637	- 2.0 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
	638	) )**2 &
	639	+ w(k,j,i)**2 )
	640
	641	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	642	* ( p(k,j,i) + p(k+1,j,i) )
	643
	644	ENDDO
	645	ENDDO
	646	ENDDO
	647	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	648	sums_ll(nzt+1,1) = 0.0
	649	sums_ll(0,2) = 0.0
	650	sums_ll(nzt+1,2) = 0.0
	651
	652	DO k = nzb_s_outer(j,i)+1, nzt
	653	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	654	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
	655	ENDDO
	656	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	657	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
	658
	659	ENDIF
	660
	661	!
	662	!-- Divergence of vertical flux of SGS TKE
	663	IF ( hom(nzb+1,2,57,0) /= 0.0 ) THEN
	664
	665	!$OMP DO
	666	DO i = nxl, nxr
	667	DO j = nys, nyn
	668	DO k = nzb_s_outer(j,i)+1, nzt
	669
	670	sums_l(k,57,tn) = sums_l(k,57,tn) + ( &
	671	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	672	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
	673	) * ddzw(k)
	674
	675	ENDDO
	676	ENDDO
	677	ENDDO
	678	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
	679
	680	ENDIF
	681
	682	!
	683	!-- Horizontal heat fluxes (subgrid, resolved, total).
	684	!-- Do it only, if profiles shall be plotted.
	685	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	686
	687	!$OMP DO
	688	DO i = nxl, nxr
	689	DO j = nys, nyn
	690	DO k = nzb_s_outer(j,i)+1, nzt
	691	!
	692	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	693	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	694	( kh(k,j,i) + kh(k,j,i-1) ) &
	695	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	696	* ddx * rmask(j,i,sr)
	697	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	698	( kh(k,j,i) + kh(k,j-1,i) ) &
	699	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	700	* ddy * rmask(j,i,sr)
	701	!
	702	!-- Resolved horizontal heat fluxes upt, vpt
	703	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	704	( u(k,j,i) - hom(k,1,1,sr) ) &
	705	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	706	pt(k,j,i) - hom(k,1,4,sr) )
	707	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	708	pt(k,j,i) - hom(k,1,4,sr) )
	709	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	710	( v(k,j,i) - hom(k,1,2,sr) ) &
	711	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	712	pt(k,j,i) - hom(k,1,4,sr) )
	713	ENDDO
	714	ENDDO
	715	ENDDO
	716	!
	717	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
[97]	718	sums_l(nzb,58,tn) = 0.0
	719	sums_l(nzb,59,tn) = 0.0
	720	sums_l(nzb,60,tn) = 0.0
	721	sums_l(nzb,61,tn) = 0.0
	722	sums_l(nzb,62,tn) = 0.0
	723	sums_l(nzb,63,tn) = 0.0
[1]	724
	725	ENDIF
[87]	726
	727	!
	728	!-- Calculate the user-defined profiles
	729	CALL user_statistics( 'profiles', sr, tn )
[1]	730	!$OMP END PARALLEL
	731
	732	!
	733	!-- Summation of thread sums
	734	IF ( threads_per_task > 1 ) THEN
	735	DO i = 1, threads_per_task-1
	736	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	737	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
[87]	738	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	739	sums_l(:,45:pr_palm,i)
	740	IF ( max_pr_user > 0 ) THEN
	741	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	742	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	743	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	744	ENDIF
[1]	745	ENDDO
	746	ENDIF
	747
	748	#if defined( __parallel )
	749	!
	750	!-- Compute total sum from local sums
	751	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	752	MPI_SUM, comm2d, ierr )
	753	#else
	754	sums = sums_l(:,:,0)
	755	#endif
	756
	757	!
	758	!-- Final values are obtained by division by the total number of grid points
	759	!-- used for summation. After that store profiles.
	760	!-- Profiles:
	761	DO k = nzb, nzt+1
[87]	762	sums(k,:pr_palm-2) = sums(k,:pr_palm-2) / ngp_2dh_outer(k,sr)
[1]	763	ENDDO
	764	!-- Upstream-parts
[87]	765	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
[1]	766	!-- u* and so on
[87]	767	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
[1]	768	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	769	!-- above the topography, they are being divided by ngp_2dh(sr)
[87]	770	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
[1]	771	ngp_2dh(sr)
	772	!-- eges, e*
[87]	773	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
[1]	774	ngp_3d_inner(sr)
	775	!-- Old and new divergence
[87]	776	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
[1]	777	ngp_3d_inner(sr)
	778
[87]	779	!-- User-defined profiles
	780	IF ( max_pr_user > 0 ) THEN
	781	DO k = nzb, nzt+1
	782	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	783	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
	784	ngp_2dh_outer(k,sr)
	785	ENDDO
	786	ENDIF
	787
[1]	788	!
	789	!-- Collect horizontal average in hom.
	790	!-- Compute deduced averages (e.g. total heat flux)
	791	hom(:,1,3,sr) = sums(:,3) ! w
	792	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	793	hom(:,1,9,sr) = sums(:,9) ! km
	794	hom(:,1,10,sr) = sums(:,10) ! kh
	795	hom(:,1,11,sr) = sums(:,11) ! l
	796	hom(:,1,12,sr) = sums(:,12) ! w"u"
	797	hom(:,1,13,sr) = sums(:,13) ! wu
	798	hom(:,1,14,sr) = sums(:,14) ! w"v"
	799	hom(:,1,15,sr) = sums(:,15) ! wv
	800	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	801	hom(:,1,17,sr) = sums(:,17) ! wpt
	802	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	803	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	804	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	805	hom(:,1,21,sr) = sums(:,21) ! wptBC
	806	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
[96]	807	! profile 24 is initial profile (sa)
	808	! profiles 25-29 left empty for initial
[1]	809	! profiles
	810	hom(:,1,30,sr) = sums(:,30) ! u*2
	811	hom(:,1,31,sr) = sums(:,31) ! v*2
	812	hom(:,1,32,sr) = sums(:,32) ! w*2
	813	hom(:,1,33,sr) = sums(:,33) ! pt*2
	814	hom(:,1,34,sr) = sums(:,34) ! e*
	815	hom(:,1,35,sr) = sums(:,35) ! w2pt
	816	hom(:,1,36,sr) = sums(:,36) ! wpt2
	817	hom(:,1,37,sr) = sums(:,37) ! we
	818	hom(:,1,38,sr) = sums(:,38) ! w*3
	819	hom(:,1,39,sr) = sums(:,38) / ( sums(:,32) + 1E-20 )**1.5 ! Sw
	820	hom(:,1,40,sr) = sums(:,40) ! p
	821	hom(:,1,45,sr) = sums(:,45) ! w"q"
	822	hom(:,1,46,sr) = sums(:,46) ! wvpt
	823	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	824	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	825	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	826	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	827	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	828	hom(:,1,52,sr) = sums(:,52) ! wqv
	829	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	830	hom(:,1,54,sr) = sums(:,54) ! ql
	831	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	832	hom(:,1,56,sr) = sums(:,56) ! wp/dz
	833	hom(:,1,57,sr) = sums(:,57) ! w"e/dz
	834	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	835	hom(:,1,59,sr) = sums(:,59) ! upt
	836	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	837	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	838	hom(:,1,62,sr) = sums(:,62) ! vpt
	839	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
[96]	840	hom(:,1,64,sr) = sums(:,64) ! rho
	841	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	842	hom(:,1,66,sr) = sums(:,66) ! wsa
	843	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
[1]	844
[87]	845	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
[1]	846	! upstream-parts u_x, u_y, u_z, v_x,
	847	! v_y, usw. (in last but one profile)
[87]	848	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
[1]	849	! u, w'u', w'v', t (in last profile)
	850
[87]	851	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	852	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	853	sums(:,pr_palm+1:pr_palm+max_pr_user)
	854	ENDIF
	855
[1]	856	!
	857	!-- Determine the boundary layer height using two different schemes.
[94]	858	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	859	!-- first relative minimum (maximum) of the total heat flux.
	860	!-- The corresponding height is assumed as the boundary layer height, if it
	861	!-- is less than 1.5 times the height where the heat flux becomes negative
	862	!-- (positive) for the first time.
[1]	863	!-- NOTE: This criterion is still capable of improving!
	864	z_i(1) = 0.0
	865	first = .TRUE.
[97]	866	IF ( ocean ) THEN
	867	DO k = nzt, nzb+1, -1
	868	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
	869	first = .FALSE.
	870	height = zw(k)
	871	ENDIF
	872	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	873	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	874	IF ( zw(k) < 1.5 * height ) THEN
	875	z_i(1) = zw(k)
	876	ELSE
	877	z_i(1) = height
	878	ENDIF
	879	EXIT
	880	ENDIF
	881	ENDDO
	882	ELSE
[94]	883	DO k = nzb, nzt-1
	884	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
	885	first = .FALSE.
	886	height = zw(k)
[1]	887	ENDIF
[94]	888	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	889	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	890	IF ( zw(k) < 1.5 * height ) THEN
	891	z_i(1) = zw(k)
	892	ELSE
	893	z_i(1) = height
	894	ENDIF
	895	EXIT
	896	ENDIF
	897	ENDDO
[97]	898	ENDIF
[1]	899
	900	!
[97]	901	!-- Second scheme: Starting from the top/bottom model boundary, look for
	902	!-- the first characteristic kink in the temperature profile, where the
	903	!-- originally stable stratification notably weakens.
[1]	904	z_i(2) = 0.0
[97]	905	IF ( ocean ) THEN
	906	DO k = nzb+1, nzt-1
	907	IF ( ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) > &
	908	2.0 * ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) ) THEN
	909	z_i(2) = zu(k)
	910	EXIT
	911	ENDIF
	912	ENDDO
	913	ELSE
	914	DO k = nzt-1, nzb+1, -1
	915	IF ( ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) > &
	916	2.0 * ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) ) THEN
	917	z_i(2) = zu(k)
	918	EXIT
	919	ENDIF
	920	ENDDO
	921	ENDIF
[1]	922
[87]	923	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	924	hom(nzb+7,1,pr_palm,sr) = z_i(2)
[1]	925
	926	!
	927	!-- Computation of both the characteristic vertical velocity and
	928	!-- the characteristic convective boundary layer temperature.
	929	!-- The horizontal average at nzb+1 is input for the average temperature.
	930	IF ( hom(nzb,1,18,sr) > 0.0 .AND. z_i(1) /= 0.0 ) THEN
[87]	931	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
[94]	932	hom(nzb,1,18,sr) * &
	933	ABS( z_i(1) ) )**0.333333333
[1]	934	!-- so far this only works if Prandtl layer is used
[87]	935	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
[1]	936	ELSE
[87]	937	hom(nzb+8,1,pr_palm,sr) = 0.0
	938	hom(nzb+11,1,pr_palm,sr) = 0.0
[1]	939	ENDIF
	940
[48]	941	!
	942	!-- Collect the time series quantities
[87]	943	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	944	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
[48]	945	ts_value(3,sr) = dt_3d
[87]	946	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	947	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
[48]	948	ts_value(6,sr) = u_max
	949	ts_value(7,sr) = v_max
	950	ts_value(8,sr) = w_max
[87]	951	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	952	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	953	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	954	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	955	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
[48]	956	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	957	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	958	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	959	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	960	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
[87]	961	ts_value(19,sr) = hom(nzb+9,1,pr_palm-1,sr) ! splptx
	962	ts_value(20,sr) = hom(nzb+10,1,pr_palm-1,sr) ! splpty
	963	ts_value(21,sr) = hom(nzb+11,1,pr_palm-1,sr) ! splptz
[48]	964	IF ( ts_value(5,sr) /= 0.0 ) THEN
	965	ts_value(22,sr) = ts_value(4,sr)**2 / &
	966	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	967	ELSE
	968	ts_value(22,sr) = 10000.0
	969	ENDIF
[1]	970
	971	!
[48]	972	!-- Calculate additional statistics provided by the user interface
[87]	973	CALL user_statistics( 'time_series', sr, 0 )
[1]	974
[48]	975	ENDDO ! loop of the subregions
	976
[1]	977	!
	978	!-- If required, sum up horizontal averages for subsequent time averaging
	979	IF ( do_sum ) THEN
	980	IF ( average_count_pr == 0 ) hom_sum = 0.0
	981	hom_sum = hom_sum + hom(:,1,:,:)
	982	average_count_pr = average_count_pr + 1
	983	do_sum = .FALSE.
	984	ENDIF
	985
	986	!
	987	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	988	!-- This flag is reset after each time step in time_integration.
	989	flow_statistics_called = .TRUE.
	990
	991	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	992
	993
	994	END SUBROUTINE flow_statistics
	995
	996
	997

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