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flow_statistics.f90 @ 91

Last change on this file since 91 was 90, checked in by raasch, 17 years ago

New:
---
Calculation and output of user-defined profiles. New &userpar parameters data_output_pr_user and max_pr_user.

check_parameters, flow_statistics, modules, parin, read_var_list, user_interface, write_var_list

Changed:

Division through dt_3d replaced by multiplication of the inverse. For performance optimisation, this is done in the loop calculating the divergence instead of using a seperate loop. (pres.f90) var_hom and var_sum renamed pr_palm.

data_output_profiles, flow_statistics, init_3d_model, modules, parin, pres, read_var_list, run_control, time_integration

Errors:

Bugfix: work_fft*_vec removed from some PRIVATE-declarations (poisfft).

Bugfix: field_chr renamed field_char (user_interface).

Bugfix: output of use_upstream_for_tke (header).

header, poisfft, user_interface

Property svn:keywords set to Id

File size: 38.0 KB

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

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source: palm/trunk/SOURCE/flow_statistics.f90 @ 91

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