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flow_statistics.f90 @ 138

Last change on this file since 138 was 133, checked in by letzel, 17 years ago

Vertical profiles now based on nzb_s_inner; they are divided by
ngp_2dh_s_inner (scalars, procucts of scalars) and ngp_2dh (staggered velocity
components and their products, procucts of scalars and velocity components),
respectively.

Allow new case bc_uv_t = 'dirichlet_0' for channel flow.

Property svn:keywords set to Id

File size: 44.2 KB

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

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source: palm/trunk/SOURCE/flow_statistics.f90 @ 138

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