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flow_statistics.f90 @ 114

Last change on this file since 114 was 110, checked in by raasch, 17 years ago

New:
---
Allows runs for a coupled atmosphere-ocean LES,
coupling frequency is controlled by new d3par-parameter dt_coupling,
the coupling mode (atmosphere_to_ocean or ocean_to_atmosphere) for the
respective processes is read from environment variable coupling_mode,
which is set by the mpiexec-command,
communication between the two models is done using the intercommunicator
comm_inter,
local files opened by the ocean model get the additional suffic "_O".
Assume saturation at k=nzb_s_inner(j,i) for atmosphere coupled to ocean.

A momentum flux can be set as top boundary condition using the new
inipar parameter top_momentumflux_u|v.

Non-cyclic boundary conditions can be used along all horizontal directions.

Quantities w*p* and w"e can be output as vertical profiles.

Initial profiles are reset to constant profiles in case that initializing_actions /= 'set_constant_profiles'. (init_rankine)

Optionally calculate km and kh from initial TKE e_init.

Changed:

Remaining variables iran changed to iran_part (advec_particles, init_particles).

In case that the presure solver is not called for every Runge-Kutta substep
(call_psolver_at_all_substeps = .F.), it is called after the first substep
instead of the last. In that case, random perturbations are also added to the
velocity field after the first substep.

Initialization of km,kh = 0.00001 for ocean = .T. (for ocean = .F. it remains 0.01).

Allow data_output_pr= q, wq, w"q", w*q* for humidity = .T. (instead of cloud_physics = .T.).

Errors:

Bugs from code parts for non-cyclic boundary conditions are removed: loops for
u and v are starting from index nxlu, nysv, respectively. The radiation boundary
condition is used for every Runge-Kutta substep. Velocity phase speeds for
the radiation boundary conditions are calculated for the first Runge-Kutta
substep only and reused for the further substeps. New arrays c_u, c_v, and c_w
are defined for this purpose. Several index errors are removed from the
radiation boundary condition code parts. Upper bounds for calculating
u_0 and v_0 (in production_e) are nxr+1 and nyn+1 because otherwise these
values are not available in case of non-cyclic boundary conditions.

+dots_num_palm in module user, +module netcdf_control in user_init (both in user_interface)

Bugfix: wrong sign removed from the buoyancy production term in the case use_reference = .T. (production_e)

Bugfix: Error message concerning output of particle concentration (pc) modified (check_parameters).

Bugfix: Rayleigh damping for ocean fixed.

Property svn:keywords set to Id

File size: 42.8 KB

Rev	Line
[1]	1	SUBROUTINE flow_statistics
	2
	3	!------------------------------------------------------------------------------!
	4	! Actual revisions:
	5	! -----------------
[110]	6	!
[1]	7	!
	8	! Former revisions:
	9	! -----------------
[3]	10	! $Id: flow_statistics.f90 110 2007-10-05 05:13:14Z raasch $
[39]	11	!
[110]	12	! 106 2007-08-16 14:30:26Z raasch
	13	! Prescribed momentum fluxes at the top surface are used,
	14	! profiles for wp and w"e are calculated
	15	!
[98]	16	! 97 2007-06-21 08:23:15Z raasch
	17	! Statistics for ocean version (salinity, density) added,
	18	! calculation of z_i and Deardorff velocity scale adjusted to be used with
	19	! the ocean version
	20	!
[90]	21	! 87 2007-05-22 15:46:47Z raasch
	22	! Two more arguments added to user_statistics, which is now also called for
	23	! user-defined profiles,
	24	! var_hom and var_sum renamed pr_palm
	25	!
[83]	26	! 82 2007-04-16 15:40:52Z raasch
	27	! Cpp-directive lcmuk changed to intel_openmp_bug
	28	!
[77]	29	! 75 2007-03-22 09:54:05Z raasch
	30	! Collection of time series quantities moved from routine flow_statistics to
	31	! here, routine user_statistics is called for each statistic region,
	32	! moisture renamed humidity
	33	!
[39]	34	! 19 2007-02-23 04:53:48Z raasch
[77]	35	! fluxes at top modified (tswst, qswst)
[39]	36	!
[3]	37	! RCS Log replace by Id keyword, revision history cleaned up
	38	!
[1]	39	! Revision 1.41 2006/08/04 14:37:50 raasch
	40	! Error removed in non-parallel part (sums_l)
	41	!
	42	! Revision 1.1 1997/08/11 06:15:17 raasch
	43	! Initial revision
	44	!
	45	!
	46	! Description:
	47	! ------------
	48	! Compute average profiles and further average flow quantities for the different
	49	! user-defined (sub-)regions. The region indexed 0 is the total model domain.
	50	!
	51	! NOTE: For simplicity, nzb_s_outer and nzb_diff_s_outer are being used as a
	52	! ---- lower vertical index for k-loops for all variables so that regardless
	53	! of the variable and its respective staggered grid always the same number of
	54	! grid points is used for 2D averages. The disadvantage: depending on the
	55	! variable, up to one grid layer adjacent to the (vertical walls of the)
	56	! topography is missed out by this simplification.
	57	!------------------------------------------------------------------------------!
	58
	59	USE arrays_3d
	60	USE cloud_parameters
	61	USE cpulog
	62	USE grid_variables
	63	USE indices
	64	USE interfaces
	65	USE pegrid
	66	USE statistics
	67	USE control_parameters
	68
	69	IMPLICIT NONE
	70
	71	INTEGER :: i, j, k, omp_get_thread_num, sr, tn
	72	LOGICAL :: first
	73	REAL :: height, pts, sums_l_eper, sums_l_etot, ust, ust2, u2, vst, &
	74	vst2, v2, w2, z_i(2)
	75	REAL :: sums_ll(nzb:nzt+1,2)
	76
	77
	78	CALL cpu_log( log_point(10), 'flow_statistics', 'start' )
	79
	80	!
	81	!-- To be on the safe side, check whether flow_statistics has already been
	82	!-- called once after the current time step
	83	IF ( flow_statistics_called ) THEN
	84	IF ( myid == 0 ) PRINT*, '+++ WARNING: flow_statistics is called two', &
	85	' times within one timestep'
	86	CALL local_stop
	87	ENDIF
	88
	89	!
	90	!-- Compute statistics for each (sub-)region
	91	DO sr = 0, statistic_regions
	92
	93	!
	94	!-- Initialize (local) summation array
	95	sums_l = 0.0
	96
	97	!
	98	!-- Store sums that have been computed in other subroutines in summation
	99	!-- array
	100	sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities
	101	!-- WARNING: next line still has to be adjusted for OpenMP
	102	sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc
[87]	103	sums_l(nzb+9,pr_palm,0) = sums_divold_l(sr) ! old divergence from pres
	104	sums_l(nzb+10,pr_palm,0) = sums_divnew_l(sr) ! new divergence from pres
[1]	105	!-- WARNING: next four lines still may have to be adjusted for OpenMP
[87]	106	sums_l(nzb:nzb+2,pr_palm-1,0) = sums_up_fraction_l(1,1:3,sr)! upstream
	107	sums_l(nzb+3:nzb+5,pr_palm-1,0) = sums_up_fraction_l(2,1:3,sr)! parts
	108	sums_l(nzb+6:nzb+8,pr_palm-1,0) = sums_up_fraction_l(3,1:3,sr)! from
	109	sums_l(nzb+9:nzb+11,pr_palm-1,0) = sums_up_fraction_l(4,1:3,sr)! spline
[1]	110
	111	!
	112	!-- Horizontally averaged profiles of horizontal velocities and temperature.
	113	!-- They must have been computed before, because they are already required
	114	!-- for other horizontal averages.
	115	tn = 0
	116	!$OMP PARALLEL PRIVATE( i, j, k, tn )
[82]	117	#if defined( __intel_openmp_bug )
[1]	118	tn = omp_get_thread_num()
	119	#else
	120	!$ tn = omp_get_thread_num()
	121	#endif
	122
	123	!$OMP DO
	124	DO i = nxl, nxr
	125	DO j = nys, nyn
	126	DO k = nzb_s_outer(j,i), nzt+1
	127	sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr)
	128	sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr)
	129	sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr)
	130	ENDDO
	131	ENDDO
	132	ENDDO
	133
	134	!
[96]	135	!-- Horizontally averaged profile of salinity
	136	IF ( ocean ) THEN
	137	!$OMP DO
	138	DO i = nxl, nxr
	139	DO j = nys, nyn
	140	DO k = nzb_s_outer(j,i), nzt+1
	141	sums_l(k,23,tn) = sums_l(k,23,tn) + &
	142	sa(k,j,i) * rmask(j,i,sr)
	143	ENDDO
	144	ENDDO
	145	ENDDO
	146	ENDIF
	147
	148	!
[1]	149	!-- Horizontally averaged profiles of virtual potential temperature,
	150	!-- total water content, specific humidity and liquid water potential
	151	!-- temperature
[75]	152	IF ( humidity ) THEN
[1]	153	!$OMP DO
	154	DO i = nxl, nxr
	155	DO j = nys, nyn
	156	DO k = nzb_s_outer(j,i), nzt+1
	157	sums_l(k,44,tn) = sums_l(k,44,tn) + &
	158	vpt(k,j,i) * rmask(j,i,sr)
	159	sums_l(k,41,tn) = sums_l(k,41,tn) + &
	160	q(k,j,i) * rmask(j,i,sr)
	161	ENDDO
	162	ENDDO
	163	ENDDO
	164	IF ( cloud_physics ) THEN
	165	!$OMP DO
	166	DO i = nxl, nxr
	167	DO j = nys, nyn
	168	DO k = nzb_s_outer(j,i), nzt+1
	169	sums_l(k,42,tn) = sums_l(k,42,tn) + &
	170	( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr)
	171	sums_l(k,43,tn) = sums_l(k,43,tn) + ( &
	172	pt(k,j,i) + l_d_cppt_d_t(k) ql(k,j,i) &
	173	) * rmask(j,i,sr)
	174	ENDDO
	175	ENDDO
	176	ENDDO
	177	ENDIF
	178	ENDIF
	179
	180	!
	181	!-- Horizontally averaged profiles of passive scalar
	182	IF ( passive_scalar ) THEN
	183	!$OMP DO
	184	DO i = nxl, nxr
	185	DO j = nys, nyn
	186	DO k = nzb_s_outer(j,i), nzt+1
	187	sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr)
	188	ENDDO
	189	ENDDO
	190	ENDDO
	191	ENDIF
	192	!$OMP END PARALLEL
	193
	194	!
	195	!-- Summation of thread sums
	196	IF ( threads_per_task > 1 ) THEN
	197	DO i = 1, threads_per_task-1
	198	sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i)
	199	sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i)
	200	sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i)
[96]	201	IF ( ocean ) THEN
	202	sums_l(:,23,0) = sums_l(:,23,0) + sums_l(:,23,i)
	203	ENDIF
[75]	204	IF ( humidity ) THEN
[1]	205	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	206	sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i)
	207	IF ( cloud_physics ) THEN
	208	sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i)
	209	sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i)
	210	ENDIF
	211	ENDIF
	212	IF ( passive_scalar ) THEN
	213	sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i)
	214	ENDIF
	215	ENDDO
	216	ENDIF
	217
	218	#if defined( __parallel )
	219	!
	220	!-- Compute total sum from local sums
	221	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, &
	222	MPI_SUM, comm2d, ierr )
	223	CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, &
	224	MPI_SUM, comm2d, ierr )
	225	CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, &
	226	MPI_SUM, comm2d, ierr )
[96]	227	IF ( ocean ) THEN
	228	CALL MPI_ALLREDUCE( sums_l(nzb,23,0), sums(nzb,23), nzt+2-nzb, &
	229	MPI_REAL, MPI_SUM, comm2d, ierr )
	230	ENDIF
[75]	231	IF ( humidity ) THEN
[1]	232	CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, &
	233	MPI_REAL, MPI_SUM, comm2d, ierr )
	234	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	235	MPI_REAL, MPI_SUM, comm2d, ierr )
	236	IF ( cloud_physics ) THEN
	237	CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, &
	238	MPI_REAL, MPI_SUM, comm2d, ierr )
	239	CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, &
	240	MPI_REAL, MPI_SUM, comm2d, ierr )
	241	ENDIF
	242	ENDIF
	243
	244	IF ( passive_scalar ) THEN
	245	CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, &
	246	MPI_REAL, MPI_SUM, comm2d, ierr )
	247	ENDIF
	248	#else
	249	sums(:,1) = sums_l(:,1,0)
	250	sums(:,2) = sums_l(:,2,0)
	251	sums(:,4) = sums_l(:,4,0)
[96]	252	IF ( ocean ) sums(:,23) = sums_l(:,23,0)
[75]	253	IF ( humidity ) THEN
[1]	254	sums(:,44) = sums_l(:,44,0)
	255	sums(:,41) = sums_l(:,41,0)
	256	IF ( cloud_physics ) THEN
	257	sums(:,42) = sums_l(:,42,0)
	258	sums(:,43) = sums_l(:,43,0)
	259	ENDIF
	260	ENDIF
	261	IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0)
	262	#endif
	263
	264	!
	265	!-- Final values are obtained by division by the total number of grid points
	266	!-- used for summation. After that store profiles.
	267	sums(:,1) = sums(:,1) / ngp_2dh_outer(:,sr)
	268	sums(:,2) = sums(:,2) / ngp_2dh_outer(:,sr)
	269	sums(:,4) = sums(:,4) / ngp_2dh_outer(:,sr)
	270	hom(:,1,1,sr) = sums(:,1) ! u
	271	hom(:,1,2,sr) = sums(:,2) ! v
	272	hom(:,1,4,sr) = sums(:,4) ! pt
	273
	274	!
[96]	275	!-- Salinity
	276	IF ( ocean ) THEN
	277	sums(:,23) = sums(:,23) / ngp_2dh_outer(:,sr)
	278	hom(:,1,23,sr) = sums(:,23) ! sa
	279	ENDIF
	280
	281	!
[1]	282	!-- Humidity and cloud parameters
[75]	283	IF ( humidity ) THEN
[1]	284	sums(:,44) = sums(:,44) / ngp_2dh_outer(:,sr)
	285	sums(:,41) = sums(:,41) / ngp_2dh_outer(:,sr)
	286	hom(:,1,44,sr) = sums(:,44) ! vpt
	287	hom(:,1,41,sr) = sums(:,41) ! qv (q)
	288	IF ( cloud_physics ) THEN
	289	sums(:,42) = sums(:,42) / ngp_2dh_outer(:,sr)
	290	sums(:,43) = sums(:,43) / ngp_2dh_outer(:,sr)
	291	hom(:,1,42,sr) = sums(:,42) ! qv
	292	hom(:,1,43,sr) = sums(:,43) ! pt
	293	ENDIF
	294	ENDIF
	295
	296	!
	297	!-- Passive scalar
	298	IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / ngp_2dh_outer(:,sr)
	299
	300	!
	301	!-- Horizontally averaged profiles of the remaining prognostic variables,
	302	!-- variances, the total and the perturbation energy (single values in last
	303	!-- column of sums_l) and some diagnostic quantities.
	304	!-- NOTE: for simplicity, nzb_s_outer is used below, although strictly
	305	!-- ---- speaking the following k-loop would have to be split up and
	306	!-- rearranged according to the staggered grid.
	307	tn = 0
[82]	308	#if defined( __intel_openmp_bug )
[1]	309	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, &
	310	!$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 )
	311	tn = omp_get_thread_num()
	312	#else
	313	!$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 )
	314	!$ tn = omp_get_thread_num()
	315	#endif
	316	!$OMP DO
	317	DO i = nxl, nxr
	318	DO j = nys, nyn
	319	sums_l_etot = 0.0
	320	sums_l_eper = 0.0
	321	DO k = nzb_s_outer(j,i), nzt+1
	322	u2 = u(k,j,i)**2
	323	v2 = v(k,j,i)**2
	324	w2 = w(k,j,i)**2
	325	ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2
	326	vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2
	327	!
	328	!-- Prognostic and diagnostic variables
	329	sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr)
	330	sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr)
	331	sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr)
	332	sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr)
	333	sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i)
	334
	335	!
	336	!-- Variances
	337	sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr)
	338	sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr)
	339	sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr)
	340	sums_l(k,33,tn) = sums_l(k,33,tn) + &
	341	( pt(k,j,i)-hom(k,1,4,sr) )*2 rmask(j,i,sr)
	342	!
	343	!-- Higher moments
	344	!-- (Computation of the skewness of w further below)
	345	sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i) * w2 * &
	346	rmask(j,i,sr)
	347	!
	348	!-- Perturbation energy
	349	sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * ( ust2 + vst2 + w2 ) &
	350	* rmask(j,i,sr)
	351	sums_l_etot = sums_l_etot + &
	352	0.5 * ( u2 + v2 + w2 ) * rmask(j,i,sr)
	353	sums_l_eper = sums_l_eper + &
	354	0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr)
	355	ENDDO
	356	!
	357	!-- Total and perturbation energy for the total domain (being
	358	!-- collected in the last column of sums_l). Summation of these
	359	!-- quantities is seperated from the previous loop in order to
	360	!-- allow vectorization of that loop.
[87]	361	sums_l(nzb+4,pr_palm,tn) = sums_l(nzb+4,pr_palm,tn) + sums_l_etot
	362	sums_l(nzb+5,pr_palm,tn) = sums_l(nzb+5,pr_palm,tn) + sums_l_eper
[1]	363	!
	364	!-- 2D-arrays (being collected in the last column of sums_l)
[87]	365	sums_l(nzb,pr_palm,tn) = sums_l(nzb,pr_palm,tn) + &
[1]	366	us(j,i) * rmask(j,i,sr)
[87]	367	sums_l(nzb+1,pr_palm,tn) = sums_l(nzb+1,pr_palm,tn) + &
[1]	368	usws(j,i) * rmask(j,i,sr)
[87]	369	sums_l(nzb+2,pr_palm,tn) = sums_l(nzb+2,pr_palm,tn) + &
[1]	370	vsws(j,i) * rmask(j,i,sr)
[87]	371	sums_l(nzb+3,pr_palm,tn) = sums_l(nzb+3,pr_palm,tn) + &
[1]	372	ts(j,i) * rmask(j,i,sr)
	373	ENDDO
	374	ENDDO
	375
	376	!
	377	!-- Horizontally averaged profiles of the vertical fluxes
	378	!$OMP DO
	379	DO i = nxl, nxr
	380	DO j = nys, nyn
	381	!
	382	!-- Subgridscale fluxes (without Prandtl layer from k=nzb,
	383	!-- oterwise from k=nzb+1)
	384	!-- NOTE: for simplicity, nzb_diff_s_outer is used below, although
	385	!-- ---- strictly speaking the following k-loop would have to be
	386	!-- split up according to the staggered grid.
[102]	387	DO k = nzb_diff_s_outer(j,i)-1, nzt_diff
[1]	388	!
	389	!-- Momentum flux w"u"
	390	sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( &
	391	km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) &
	392	) * ( &
	393	( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	394	+ ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	395	) * rmask(j,i,sr)
	396	!
	397	!-- Momentum flux w"v"
	398	sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( &
	399	km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) &
	400	) * ( &
	401	( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	402	+ ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	403	) * rmask(j,i,sr)
	404	!
	405	!-- Heat flux w"pt"
	406	sums_l(k,16,tn) = sums_l(k,16,tn) &
	407	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	408	* ( pt(k+1,j,i) - pt(k,j,i) ) &
	409	* ddzu(k+1) * rmask(j,i,sr)
	410
	411
	412	!
[96]	413	!-- Salinity flux w"sa"
	414	IF ( ocean ) THEN
	415	sums_l(k,65,tn) = sums_l(k,65,tn) &
	416	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	417	* ( sa(k+1,j,i) - sa(k,j,i) ) &
	418	* ddzu(k+1) * rmask(j,i,sr)
	419	ENDIF
	420
	421	!
[1]	422	!-- Buoyancy flux, water flux (humidity flux) w"q"
[75]	423	IF ( humidity ) THEN
[1]	424	sums_l(k,45,tn) = sums_l(k,45,tn) &
	425	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	426	* ( vpt(k+1,j,i) - vpt(k,j,i) ) &
	427	* ddzu(k+1) * rmask(j,i,sr)
	428	sums_l(k,48,tn) = sums_l(k,48,tn) &
	429	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	430	* ( q(k+1,j,i) - q(k,j,i) ) &
	431	* ddzu(k+1) * rmask(j,i,sr)
	432	IF ( cloud_physics ) THEN
	433	sums_l(k,51,tn) = sums_l(k,51,tn) &
	434	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	435	* ( ( q(k+1,j,i) - ql(k+1,j,i) )&
	436	- ( q(k,j,i) - ql(k,j,i) ) ) &
	437	* ddzu(k+1) * rmask(j,i,sr)
	438	ENDIF
	439	ENDIF
	440
	441	!
	442	!-- Passive scalar flux
	443	IF ( passive_scalar ) THEN
	444	sums_l(k,48,tn) = sums_l(k,48,tn) &
	445	- 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) &
	446	* ( q(k+1,j,i) - q(k,j,i) ) &
	447	* ddzu(k+1) * rmask(j,i,sr)
	448	ENDIF
	449
	450	ENDDO
	451
	452	!
	453	!-- Subgridscale fluxes in the Prandtl layer
	454	IF ( use_surface_fluxes ) THEN
	455	sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + &
	456	usws(j,i) * rmask(j,i,sr) ! w"u"
	457	sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + &
	458	vsws(j,i) * rmask(j,i,sr) ! w"v"
	459	sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + &
	460	shf(j,i) * rmask(j,i,sr) ! w"pt"
	461	sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + &
	462	0.0 * rmask(j,i,sr) ! u"pt"
	463	sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + &
	464	0.0 * rmask(j,i,sr) ! v"pt"
[96]	465	IF ( ocean ) THEN
	466	sums_l(nzb,65,tn) = sums_l(nzb,65,tn) + &
	467	saswsb(j,i) * rmask(j,i,sr) ! w"sa"
	468	ENDIF
[75]	469	IF ( humidity ) THEN
[1]	470	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	471	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	472	IF ( cloud_physics ) THEN
	473	sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( &
	474	( 1.0 + 0.61 * q(nzb,j,i) ) * &
	475	shf(j,i) + 0.61 * pt(nzb,j,i) * &
	476	qsws(j,i) &
	477	)
	478	!
	479	!-- Formula does not work if ql(nzb) /= 0.0
	480	sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv")
	481	qsws(j,i) * rmask(j,i,sr)
	482	ENDIF
	483	ENDIF
	484	IF ( passive_scalar ) THEN
	485	sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + &
	486	qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	487	ENDIF
	488	ENDIF
	489
	490	!
[19]	491	!-- Subgridscale fluxes at the top surface
	492	IF ( use_top_fluxes ) THEN
[102]	493	sums_l(nzt,12,tn) = sums_l(nzt,12,tn) + &
	494	uswst(j,i) * rmask(j,i,sr) ! w"u"
	495	sums_l(nzt,14,tn) = sums_l(nzt,14,tn) + &
	496	vswst(j,i) * rmask(j,i,sr) ! w"v"
[19]	497	sums_l(nzt,16,tn) = sums_l(nzt,16,tn) + &
	498	tswst(j,i) * rmask(j,i,sr) ! w"pt"
	499	sums_l(nzt,58,tn) = sums_l(nzt,58,tn) + &
	500	0.0 * rmask(j,i,sr) ! u"pt"
	501	sums_l(nzt,61,tn) = sums_l(nzt,61,tn) + &
	502	0.0 * rmask(j,i,sr) ! v"pt"
[96]	503	IF ( ocean ) THEN
	504	sums_l(nzt,65,tn) = sums_l(nzt,65,tn) + &
	505	saswst(j,i) * rmask(j,i,sr) ! w"sa"
	506	ENDIF
[75]	507	IF ( humidity ) THEN
[19]	508	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
	509	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	510	IF ( cloud_physics ) THEN
	511	sums_l(nzt,45,tn) = sums_l(nzt,45,tn) + ( &
	512	( 1.0 + 0.61 * q(nzt,j,i) ) * &
	513	tswst(j,i) + 0.61 * pt(nzt,j,i) * &
	514	qsws(j,i) &
	515	)
	516	!
	517	!-- Formula does not work if ql(nzb) /= 0.0
	518	sums_l(nzt,51,tn) = sums_l(nzt,51,tn) + & ! w"q" (w"qv")
	519	qswst(j,i) * rmask(j,i,sr)
	520	ENDIF
	521	ENDIF
	522	IF ( passive_scalar ) THEN
	523	sums_l(nzt,48,tn) = sums_l(nzt,48,tn) + &
	524	qswst(j,i) * rmask(j,i,sr) ! w"q" (w"qv")
	525	ENDIF
	526	ENDIF
	527
	528	!
[1]	529	!-- Resolved fluxes (can be computed for all horizontal points)
	530	!-- NOTE: for simplicity, nzb_s_outer is used below, although strictly
	531	!-- ---- speaking the following k-loop would have to be split up and
	532	!-- rearranged according to the staggered grid.
	533	DO k = nzb_s_outer(j,i), nzt
	534	ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + &
	535	u(k+1,j,i) - hom(k+1,1,1,sr) )
	536	vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + &
	537	v(k+1,j,i) - hom(k+1,1,2,sr) )
	538	pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + &
	539	pt(k+1,j,i) - hom(k+1,1,4,sr) )
	540	!
	541	!-- Momentum flux wu
	542	sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * &
	543	( w(k,j,i-1) + w(k,j,i) ) &
	544	* ust * rmask(j,i,sr)
	545	!
	546	!-- Momentum flux wv
	547	sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * &
	548	( w(k,j-1,i) + w(k,j,i) ) &
	549	* vst * rmask(j,i,sr)
	550	!
	551	!-- Heat flux wpt
	552	!-- The following formula (comment line, not executed) does not
	553	!-- work if applied to subregions
	554	! sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * &
	555	! ( pt(k,j,i)+pt(k+1,j,i) ) &
	556	! * w(k,j,i) * rmask(j,i,sr)
	557	sums_l(k,17,tn) = sums_l(k,17,tn) + pts * w(k,j,i) * &
	558	rmask(j,i,sr)
	559	!
	560	!-- Higher moments
	561	sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)*2 &
	562	rmask(j,i,sr)
	563	sums_l(k,36,tn) = sums_l(k,36,tn) + pts*2 w(k,j,i) * &
	564	rmask(j,i,sr)
	565
	566	!
[96]	567	!-- Salinity flux and density (density does not belong to here,
[97]	568	!-- but so far there is no other suitable place to calculate)
[96]	569	IF ( ocean ) THEN
	570	pts = 0.5 * ( sa(k,j,i) - hom(k,1,23,sr) + &
	571	sa(k+1,j,i) - hom(k+1,1,23,sr) )
	572	sums_l(k,66,tn) = sums_l(k,66,tn) + pts * w(k,j,i) * &
	573	rmask(j,i,sr)
	574	sums_l(k,64,tn) = sums_l(k,64,tn) + rho(k,j,i) * &
	575	rmask(j,i,sr)
	576	ENDIF
	577
	578	!
[1]	579	!-- Buoyancy flux, water flux, humidity flux and liquid water
	580	!-- content
[75]	581	IF ( humidity ) THEN
[1]	582	pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + &
	583	vpt(k+1,j,i) - hom(k+1,1,44,sr) )
	584	sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * &
	585	rmask(j,i,sr)
	586	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	587	q(k+1,j,i) - hom(k+1,1,41,sr) )
	588	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	589	rmask(j,i,sr)
	590	IF ( cloud_physics .OR. cloud_droplets ) THEN
	591	pts = 0.5 * &
	592	( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) &
	593	+ ( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) )
	594	sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * &
	595	rmask(j,i,sr)
	596	sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * &
	597	rmask(j,i,sr)
	598	ENDIF
	599	ENDIF
	600
	601	!
	602	!-- Passive scalar flux
	603	IF ( passive_scalar ) THEN
	604	pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + &
	605	q(k+1,j,i) - hom(k+1,1,41,sr) )
	606	sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * &
	607	rmask(j,i,sr)
	608	ENDIF
	609
	610	!
	611	!-- Energy flux we
	612	sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * &
	613	( ust2 + vst2 + w(k,j,i)**2 )&
	614	* rmask(j,i,sr)
	615
	616	ENDDO
	617	ENDDO
	618	ENDDO
	619
	620	!
[97]	621	!-- Density at top follows Neumann condition
	622	IF ( ocean ) sums_l(nzt+1,64,tn) = sums_l(nzt,64,tn)
	623
	624	!
[1]	625	!-- Divergence of vertical flux of resolved scale energy and pressure
[106]	626	!-- fluctuations as well as flux of pressure fluctuation itself (68).
	627	!-- First calculate the products, then the divergence.
[1]	628	!-- Calculation is time consuming. Do it only, if profiles shall be plotted.
[106]	629	IF ( hom(nzb+1,2,55,0) /= 0.0 .OR. hom(nzb+1,2,68,0) /= 0.0 ) THEN
[1]	630
	631	sums_ll = 0.0 ! local array
	632
	633	!$OMP DO
	634	DO i = nxl, nxr
	635	DO j = nys, nyn
	636	DO k = nzb_s_outer(j,i)+1, nzt
	637
	638	sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( &
	639	( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) &
	640	- 2.0 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) &
	641	) )**2 &
	642	+ ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) &
	643	- 2.0 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) &
	644	) )**2 &
	645	+ w(k,j,i)**2 )
	646
	647	sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) &
	648	* ( p(k,j,i) + p(k+1,j,i) )
	649
	650	ENDDO
	651	ENDDO
	652	ENDDO
	653	sums_ll(0,1) = 0.0 ! because w is zero at the bottom
	654	sums_ll(nzt+1,1) = 0.0
	655	sums_ll(0,2) = 0.0
	656	sums_ll(nzt+1,2) = 0.0
	657
	658	DO k = nzb_s_outer(j,i)+1, nzt
	659	sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k)
	660	sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k)
[106]	661	sums_l(k,68,tn) = sums_ll(k,2)
[1]	662	ENDDO
	663	sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn)
	664	sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn)
[106]	665	sums_l(nzb,68,tn) = 0.0 ! because w* = 0 at nzb
[1]	666
	667	ENDIF
	668
	669	!
[106]	670	!-- Divergence of vertical flux of SGS TKE and the flux itself (69)
	671	IF ( hom(nzb+1,2,57,0) /= 0.0 .OR. hom(nzb+1,2,69,0) /= 0.0 ) THEN
[1]	672
	673	!$OMP DO
	674	DO i = nxl, nxr
	675	DO j = nys, nyn
	676	DO k = nzb_s_outer(j,i)+1, nzt
	677
[106]	678	sums_l(k,57,tn) = sums_l(k,57,tn) - 0.5 * ( &
[1]	679	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	680	- (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) &
[106]	681	) * ddzw(k)
[1]	682
[106]	683	sums_l(k,69,tn) = sums_l(k,69,tn) - 0.5 * ( &
	684	(km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) &
	685	)
	686
[1]	687	ENDDO
	688	ENDDO
	689	ENDDO
	690	sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn)
[106]	691	sums_l(nzb,69,tn) = sums_l(nzb+1,69,tn)
[1]	692
	693	ENDIF
	694
	695	!
	696	!-- Horizontal heat fluxes (subgrid, resolved, total).
	697	!-- Do it only, if profiles shall be plotted.
	698	IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN
	699
	700	!$OMP DO
	701	DO i = nxl, nxr
	702	DO j = nys, nyn
	703	DO k = nzb_s_outer(j,i)+1, nzt
	704	!
	705	!-- Subgrid horizontal heat fluxes u"pt", v"pt"
	706	sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * &
	707	( kh(k,j,i) + kh(k,j,i-1) ) &
	708	* ( pt(k,j,i-1) - pt(k,j,i) ) &
	709	* ddx * rmask(j,i,sr)
	710	sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * &
	711	( kh(k,j,i) + kh(k,j-1,i) ) &
	712	* ( pt(k,j-1,i) - pt(k,j,i) ) &
	713	* ddy * rmask(j,i,sr)
	714	!
	715	!-- Resolved horizontal heat fluxes upt, vpt
	716	sums_l(k,59,tn) = sums_l(k,59,tn) + &
	717	( u(k,j,i) - hom(k,1,1,sr) ) &
	718	* 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + &
	719	pt(k,j,i) - hom(k,1,4,sr) )
	720	pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	721	pt(k,j,i) - hom(k,1,4,sr) )
	722	sums_l(k,62,tn) = sums_l(k,62,tn) + &
	723	( v(k,j,i) - hom(k,1,2,sr) ) &
	724	* 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + &
	725	pt(k,j,i) - hom(k,1,4,sr) )
	726	ENDDO
	727	ENDDO
	728	ENDDO
	729	!
	730	!-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer)
[97]	731	sums_l(nzb,58,tn) = 0.0
	732	sums_l(nzb,59,tn) = 0.0
	733	sums_l(nzb,60,tn) = 0.0
	734	sums_l(nzb,61,tn) = 0.0
	735	sums_l(nzb,62,tn) = 0.0
	736	sums_l(nzb,63,tn) = 0.0
[1]	737
	738	ENDIF
[87]	739
	740	!
	741	!-- Calculate the user-defined profiles
	742	CALL user_statistics( 'profiles', sr, tn )
[1]	743	!$OMP END PARALLEL
	744
	745	!
	746	!-- Summation of thread sums
	747	IF ( threads_per_task > 1 ) THEN
	748	DO i = 1, threads_per_task-1
	749	sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i)
	750	sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i)
[87]	751	sums_l(:,45:pr_palm,0) = sums_l(:,45:pr_palm,0) + &
	752	sums_l(:,45:pr_palm,i)
	753	IF ( max_pr_user > 0 ) THEN
	754	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) = &
	755	sums_l(:,pr_palm+1:pr_palm+max_pr_user,0) + &
	756	sums_l(:,pr_palm+1:pr_palm+max_pr_user,i)
	757	ENDIF
[1]	758	ENDDO
	759	ENDIF
	760
	761	#if defined( __parallel )
	762	!
	763	!-- Compute total sum from local sums
	764	CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, &
	765	MPI_SUM, comm2d, ierr )
	766	#else
	767	sums = sums_l(:,:,0)
	768	#endif
	769
	770	!
	771	!-- Final values are obtained by division by the total number of grid points
	772	!-- used for summation. After that store profiles.
	773	!-- Profiles:
	774	DO k = nzb, nzt+1
[87]	775	sums(k,:pr_palm-2) = sums(k,:pr_palm-2) / ngp_2dh_outer(k,sr)
[1]	776	ENDDO
	777	!-- Upstream-parts
[87]	778	sums(nzb:nzb+11,pr_palm-1) = sums(nzb:nzb+11,pr_palm-1) / ngp_3d(sr)
[1]	779	!-- u* and so on
[87]	780	!-- As sums(nzb:nzb+3,pr_palm) are full 2D arrays (us, usws, vsws, ts) whose
[1]	781	!-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer
	782	!-- above the topography, they are being divided by ngp_2dh(sr)
[87]	783	sums(nzb:nzb+3,pr_palm) = sums(nzb:nzb+3,pr_palm) / &
[1]	784	ngp_2dh(sr)
	785	!-- eges, e*
[87]	786	sums(nzb+4:nzb+5,pr_palm) = sums(nzb+4:nzb+5,pr_palm) / &
[1]	787	ngp_3d_inner(sr)
	788	!-- Old and new divergence
[87]	789	sums(nzb+9:nzb+10,pr_palm) = sums(nzb+9:nzb+10,pr_palm) / &
[1]	790	ngp_3d_inner(sr)
	791
[87]	792	!-- User-defined profiles
	793	IF ( max_pr_user > 0 ) THEN
	794	DO k = nzb, nzt+1
	795	sums(k,pr_palm+1:pr_palm+max_pr_user) = &
	796	sums(k,pr_palm+1:pr_palm+max_pr_user) / &
	797	ngp_2dh_outer(k,sr)
	798	ENDDO
	799	ENDIF
	800
[1]	801	!
	802	!-- Collect horizontal average in hom.
	803	!-- Compute deduced averages (e.g. total heat flux)
	804	hom(:,1,3,sr) = sums(:,3) ! w
	805	hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles
	806	hom(:,1,9,sr) = sums(:,9) ! km
	807	hom(:,1,10,sr) = sums(:,10) ! kh
	808	hom(:,1,11,sr) = sums(:,11) ! l
	809	hom(:,1,12,sr) = sums(:,12) ! w"u"
	810	hom(:,1,13,sr) = sums(:,13) ! wu
	811	hom(:,1,14,sr) = sums(:,14) ! w"v"
	812	hom(:,1,15,sr) = sums(:,15) ! wv
	813	hom(:,1,16,sr) = sums(:,16) ! w"pt"
	814	hom(:,1,17,sr) = sums(:,17) ! wpt
	815	hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt
	816	hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu
	817	hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv
	818	hom(:,1,21,sr) = sums(:,21) ! wptBC
	819	hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC
[96]	820	! profile 24 is initial profile (sa)
	821	! profiles 25-29 left empty for initial
[1]	822	! profiles
	823	hom(:,1,30,sr) = sums(:,30) ! u*2
	824	hom(:,1,31,sr) = sums(:,31) ! v*2
	825	hom(:,1,32,sr) = sums(:,32) ! w*2
	826	hom(:,1,33,sr) = sums(:,33) ! pt*2
	827	hom(:,1,34,sr) = sums(:,34) ! e*
	828	hom(:,1,35,sr) = sums(:,35) ! w2pt
	829	hom(:,1,36,sr) = sums(:,36) ! wpt2
	830	hom(:,1,37,sr) = sums(:,37) ! we
	831	hom(:,1,38,sr) = sums(:,38) ! w*3
	832	hom(:,1,39,sr) = sums(:,38) / ( sums(:,32) + 1E-20 )**1.5 ! Sw
	833	hom(:,1,40,sr) = sums(:,40) ! p
	834	hom(:,1,45,sr) = sums(:,45) ! w"q"
	835	hom(:,1,46,sr) = sums(:,46) ! wvpt
	836	hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt
	837	hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv")
	838	hom(:,1,49,sr) = sums(:,49) ! wq (wqv)
	839	hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv)
	840	hom(:,1,51,sr) = sums(:,51) ! w"qv"
	841	hom(:,1,52,sr) = sums(:,52) ! wqv
	842	hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv)
	843	hom(:,1,54,sr) = sums(:,54) ! ql
	844	hom(:,1,55,sr) = sums(:,55) ! wuu*/dz
	845	hom(:,1,56,sr) = sums(:,56) ! wp/dz
[106]	846	hom(:,1,57,sr) = sums(:,57) ! ( w"e + w"p"/rho )/dz
[1]	847	hom(:,1,58,sr) = sums(:,58) ! u"pt"
	848	hom(:,1,59,sr) = sums(:,59) ! upt
	849	hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t
	850	hom(:,1,61,sr) = sums(:,61) ! v"pt"
	851	hom(:,1,62,sr) = sums(:,62) ! vpt
	852	hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t
[96]	853	hom(:,1,64,sr) = sums(:,64) ! rho
	854	hom(:,1,65,sr) = sums(:,65) ! w"sa"
	855	hom(:,1,66,sr) = sums(:,66) ! wsa
	856	hom(:,1,67,sr) = sums(:,65) + sums(:,66) ! wsa
[106]	857	hom(:,1,68,sr) = sums(:,68) ! wp
	858	hom(:,1,69,sr) = sums(:,69) ! w"e + w"p"/rho
[1]	859
[87]	860	hom(:,1,pr_palm-1,sr) = sums(:,pr_palm-1)
[1]	861	! upstream-parts u_x, u_y, u_z, v_x,
	862	! v_y, usw. (in last but one profile)
[87]	863	hom(:,1,pr_palm,sr) = sums(:,pr_palm)
[1]	864	! u, w'u', w'v', t (in last profile)
	865
[87]	866	IF ( max_pr_user > 0 ) THEN ! user-defined profiles
	867	hom(:,1,pr_palm+1:pr_palm+max_pr_user,sr) = &
	868	sums(:,pr_palm+1:pr_palm+max_pr_user)
	869	ENDIF
	870
[1]	871	!
	872	!-- Determine the boundary layer height using two different schemes.
[94]	873	!-- First scheme: Starting from the Earth's (Ocean's) surface, look for the
	874	!-- first relative minimum (maximum) of the total heat flux.
	875	!-- The corresponding height is assumed as the boundary layer height, if it
	876	!-- is less than 1.5 times the height where the heat flux becomes negative
	877	!-- (positive) for the first time.
[1]	878	!-- NOTE: This criterion is still capable of improving!
	879	z_i(1) = 0.0
	880	first = .TRUE.
[97]	881	IF ( ocean ) THEN
	882	DO k = nzt, nzb+1, -1
	883	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
	884	first = .FALSE.
	885	height = zw(k)
	886	ENDIF
	887	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	888	hom(k-1,1,18,sr) > hom(k,1,18,sr) ) THEN
	889	IF ( zw(k) < 1.5 * height ) THEN
	890	z_i(1) = zw(k)
	891	ELSE
	892	z_i(1) = height
	893	ENDIF
	894	EXIT
	895	ENDIF
	896	ENDDO
	897	ELSE
[94]	898	DO k = nzb, nzt-1
	899	IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN
	900	first = .FALSE.
	901	height = zw(k)
[1]	902	ENDIF
[94]	903	IF ( hom(k,1,18,sr) < 0.0 .AND. &
	904	hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN
	905	IF ( zw(k) < 1.5 * height ) THEN
	906	z_i(1) = zw(k)
	907	ELSE
	908	z_i(1) = height
	909	ENDIF
	910	EXIT
	911	ENDIF
	912	ENDDO
[97]	913	ENDIF
[1]	914
	915	!
[97]	916	!-- Second scheme: Starting from the top/bottom model boundary, look for
	917	!-- the first characteristic kink in the temperature profile, where the
	918	!-- originally stable stratification notably weakens.
[1]	919	z_i(2) = 0.0
[97]	920	IF ( ocean ) THEN
	921	DO k = nzb+1, nzt-1
	922	IF ( ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) > &
	923	2.0 * ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) ) THEN
	924	z_i(2) = zu(k)
	925	EXIT
	926	ENDIF
	927	ENDDO
	928	ELSE
	929	DO k = nzt-1, nzb+1, -1
	930	IF ( ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) > &
	931	2.0 * ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) ) THEN
	932	z_i(2) = zu(k)
	933	EXIT
	934	ENDIF
	935	ENDDO
	936	ENDIF
[1]	937
[87]	938	hom(nzb+6,1,pr_palm,sr) = z_i(1)
	939	hom(nzb+7,1,pr_palm,sr) = z_i(2)
[1]	940
	941	!
	942	!-- Computation of both the characteristic vertical velocity and
	943	!-- the characteristic convective boundary layer temperature.
	944	!-- The horizontal average at nzb+1 is input for the average temperature.
	945	IF ( hom(nzb,1,18,sr) > 0.0 .AND. z_i(1) /= 0.0 ) THEN
[87]	946	hom(nzb+8,1,pr_palm,sr) = ( g / hom(nzb+1,1,4,sr) * &
[94]	947	hom(nzb,1,18,sr) * &
	948	ABS( z_i(1) ) )**0.333333333
[1]	949	!-- so far this only works if Prandtl layer is used
[87]	950	hom(nzb+11,1,pr_palm,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,pr_palm,sr)
[1]	951	ELSE
[87]	952	hom(nzb+8,1,pr_palm,sr) = 0.0
	953	hom(nzb+11,1,pr_palm,sr) = 0.0
[1]	954	ENDIF
	955
[48]	956	!
	957	!-- Collect the time series quantities
[87]	958	ts_value(1,sr) = hom(nzb+4,1,pr_palm,sr) ! E
	959	ts_value(2,sr) = hom(nzb+5,1,pr_palm,sr) ! E*
[48]	960	ts_value(3,sr) = dt_3d
[87]	961	ts_value(4,sr) = hom(nzb,1,pr_palm,sr) ! u*
	962	ts_value(5,sr) = hom(nzb+3,1,pr_palm,sr) ! th*
[48]	963	ts_value(6,sr) = u_max
	964	ts_value(7,sr) = v_max
	965	ts_value(8,sr) = w_max
[87]	966	ts_value(9,sr) = hom(nzb+10,1,pr_palm,sr) ! new divergence
	967	ts_value(10,sr) = hom(nzb+9,1,pr_palm,sr) ! old Divergence
	968	ts_value(11,sr) = hom(nzb+6,1,pr_palm,sr) ! z_i(1)
	969	ts_value(12,sr) = hom(nzb+7,1,pr_palm,sr) ! z_i(2)
	970	ts_value(13,sr) = hom(nzb+8,1,pr_palm,sr) ! w*
[48]	971	ts_value(14,sr) = hom(nzb,1,16,sr) ! w'pt' at k=0
	972	ts_value(15,sr) = hom(nzb+1,1,16,sr) ! w'pt' at k=1
	973	ts_value(16,sr) = hom(nzb+1,1,18,sr) ! wpt at k=1
	974	ts_value(17,sr) = hom(nzb,1,4,sr) ! pt(0)
	975	ts_value(18,sr) = hom(nzb+1,1,4,sr) ! pt(zp)
[87]	976	ts_value(19,sr) = hom(nzb+9,1,pr_palm-1,sr) ! splptx
	977	ts_value(20,sr) = hom(nzb+10,1,pr_palm-1,sr) ! splpty
	978	ts_value(21,sr) = hom(nzb+11,1,pr_palm-1,sr) ! splptz
[48]	979	IF ( ts_value(5,sr) /= 0.0 ) THEN
	980	ts_value(22,sr) = ts_value(4,sr)**2 / &
	981	( kappa * g * ts_value(5,sr) / ts_value(18,sr) ) ! L
	982	ELSE
	983	ts_value(22,sr) = 10000.0
	984	ENDIF
[1]	985
	986	!
[48]	987	!-- Calculate additional statistics provided by the user interface
[87]	988	CALL user_statistics( 'time_series', sr, 0 )
[1]	989
[48]	990	ENDDO ! loop of the subregions
	991
[1]	992	!
	993	!-- If required, sum up horizontal averages for subsequent time averaging
	994	IF ( do_sum ) THEN
	995	IF ( average_count_pr == 0 ) hom_sum = 0.0
	996	hom_sum = hom_sum + hom(:,1,:,:)
	997	average_count_pr = average_count_pr + 1
	998	do_sum = .FALSE.
	999	ENDIF
	1000
	1001	!
	1002	!-- Set flag for other UPs (e.g. output routines, but also buoyancy).
	1003	!-- This flag is reset after each time step in time_integration.
	1004	flow_statistics_called = .TRUE.
	1005
	1006	CALL cpu_log( log_point(10), 'flow_statistics', 'stop' )
	1007
	1008
	1009	END SUBROUTINE flow_statistics
	1010
	1011
	1012

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source: palm/trunk/SOURCE/flow_statistics.f90 @ 114

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