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source: palm/trunk/SOURCE/flow_statistics.f90 @ 182

Last change on this file since 182 was 142, checked in by letzel, 17 years ago
Bugfix in plant_canopy_model: remove IF statement in plant_canopy_model_ij Bugfix in flow_statistics: divide sums(k,8) (e) and sums(k,34) (e*) by ngp_2dh_s_inner(k,sr) (like other scalars)
Property svn:keywords set to `Id`
File size: 44.4 KB

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

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