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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1992

Last change on this file since 1992 was 1992, checked in by suehring, 8 years ago
Prescribing scalar flux at model top; several bugfixes concering data output of scalars and output of flight data
Property svn:keywords set to `Id`
File size: 33.6 KB

Rev	Line
[1682]	1	!> @file boundary_conds.f90
[1036]	2	!--------------------------------------------------------------------------------!
	3	! This file is part of PALM.
	4	!
	5	! PALM is free software: you can redistribute it and/or modify it under the terms
	6	! of the GNU General Public License as published by the Free Software Foundation,
	7	! either version 3 of the License, or (at your option) any later version.
	8	!
	9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	12	!
	13	! You should have received a copy of the GNU General Public License along with
	14	! PALM. If not, see <http://www.gnu.org/licenses/>.
	15	!
[1818]	16	! Copyright 1997-2016 Leibniz Universitaet Hannover
[1036]	17	!--------------------------------------------------------------------------------!
	18	!
[484]	19	! Current revisions:
[1]	20	! -----------------
[1992]	21	! Adjustments for top boundary condition for passive scalar
[1933]	22	!
[1321]	23	! Former revisions:
	24	! -----------------
	25	! $Id: boundary_conds.f90 1992 2016-08-12 15:14:59Z suehring $
	26	!
[1961]	27	! 1960 2016-07-12 16:34:24Z suehring
	28	! Treat humidity and passive scalar separately
	29	!
[1933]	30	! 1823 2016-04-07 08:57:52Z hoffmann
	31	! Initial version of purely vertical nesting introduced.
	32	!
[1823]	33	! 1822 2016-04-07 07:49:42Z hoffmann
	34	! icloud_scheme removed. microphyisics_seifert added.
	35	!
[1765]	36	! 1764 2016-02-28 12:45:19Z raasch
	37	! index bug for u_p at left outflow removed
	38	!
[1763]	39	! 1762 2016-02-25 12:31:13Z hellstea
	40	! Introduction of nested domain feature
	41	!
[1744]	42	! 1742 2016-01-13 09:50:06Z raasch
	43	! bugfix for outflow Neumann boundary conditions at bottom and top
	44	!
[1718]	45	! 1717 2015-11-11 15:09:47Z raasch
	46	! Bugfix: index error in outflow conditions for left boundary
	47	!
[1683]	48	! 1682 2015-10-07 23:56:08Z knoop
	49	! Code annotations made doxygen readable
	50	!
[1717]	51	! 1410 2014-05-23 12:16:18Z suehring
[1463]	52	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	53	! top
	54	!
[1410]	55	! 1399 2014-05-07 11:16:25Z heinze
	56	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	57	! is used.
	58	!
[1399]	59	! 1398 2014-05-07 11:15:00Z heinze
	60	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	61	! for large_scale_forcing
	62	!
[1381]	63	! 1380 2014-04-28 12:40:45Z heinze
	64	! Adjust Dirichlet-condition at the top for pt in case of nudging
	65	!
[1362]	66	! 1361 2014-04-16 15:17:48Z hoffmann
	67	! Bottom and top boundary conditions of rain water content (qr) and
	68	! rain drop concentration (nr) changed to Dirichlet
	69	!
[1354]	70	! 1353 2014-04-08 15:21:23Z heinze
	71	! REAL constants provided with KIND-attribute
	72	!
[1321]	73	! 1320 2014-03-20 08:40:49Z raasch
[1320]	74	! ONLY-attribute added to USE-statements,
	75	! kind-parameters added to all INTEGER and REAL declaration statements,
	76	! kinds are defined in new module kinds,
	77	! revision history before 2012 removed,
	78	! comment fields (!:) to be used for variable explanations added to
	79	! all variable declaration statements
[1160]	80	!
[1258]	81	! 1257 2013-11-08 15:18:40Z raasch
	82	! loop independent clauses added
	83	!
[1242]	84	! 1241 2013-10-30 11:36:58Z heinze
	85	! Adjust ug and vg at each timestep in case of large_scale_forcing
	86	!
[1160]	87	! 1159 2013-05-21 11:58:22Z fricke
[1159]	88	! Bugfix: Neumann boundary conditions for the velocity components at the
	89	! outflow are in fact radiation boundary conditions using the maximum phase
	90	! velocity that ensures numerical stability (CFL-condition).
	91	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	92	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	93	! u_p, v_p, w_p
[1116]	94	!
	95	! 1115 2013-03-26 18:16:16Z hoffmann
	96	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	97	! boundary-conditions
	98	!
[1114]	99	! 1113 2013-03-10 02:48:14Z raasch
	100	! GPU-porting
	101	! dummy argument "range" removed
	102	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	103	!
[1054]	104	! 1053 2012-11-13 17:11:03Z hoffmann
	105	! boundary conditions for the two new prognostic equations (nr, qr) of the
	106	! two-moment cloud scheme
	107	!
[1037]	108	! 1036 2012-10-22 13:43:42Z raasch
	109	! code put under GPL (PALM 3.9)
	110	!
[997]	111	! 996 2012-09-07 10:41:47Z raasch
	112	! little reformatting
	113	!
[979]	114	! 978 2012-08-09 08:28:32Z fricke
	115	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	116	! Outflow boundary conditions for the velocity components can be set to Neumann
	117	! conditions or to radiation conditions with a horizontal averaged phase
	118	! velocity.
	119	!
[876]	120	! 875 2012-04-02 15:35:15Z gryschka
	121	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	122	!
[1]	123	! Revision 1.1 1997/09/12 06:21:34 raasch
	124	! Initial revision
	125	!
	126	!
	127	! Description:
	128	! ------------
[1682]	129	!> Boundary conditions for the prognostic quantities.
	130	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	131	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	132	!> handled in routine exchange_horiz. Pressure boundary conditions are
	133	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	134	!------------------------------------------------------------------------------!
[1682]	135	SUBROUTINE boundary_conds
	136
[1]	137
[1320]	138	USE arrays_3d, &
	139	ONLY: c_u, c_u_m, c_u_m_l, c_v, c_v_m, c_v_m_l, c_w, c_w_m, c_w_m_l, &
[1960]	140	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, s, s_p, sa, sa_p, &
[1320]	141	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
	142	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[1960]	143	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
[1320]	144
	145	USE control_parameters, &
[1960]	146	ONLY: bc_pt_t_val, bc_q_t_val, bc_s_t_val, constant_diffusion, &
[1320]	147	cloud_physics, dt_3d, humidity, &
[1960]	148	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
	149	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
	150	inflow_s, intermediate_timestep_count, large_scale_forcing, &
[1822]	151	microphysics_seifert, nest_domain, nest_bound_l, nest_bound_s, &
	152	nudging, ocean, outflow_l, outflow_n, outflow_r, outflow_s, &
	153	passive_scalar, tsc, use_cmax
[1320]	154
	155	USE grid_variables, &
	156	ONLY: ddx, ddy, dx, dy
	157
	158	USE indices, &
	159	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
	160	nzb, nzb_s_inner, nzb_w_inner, nzt
	161
	162	USE kinds
	163
[1]	164	USE pegrid
	165
[1933]	166	USE pmc_interface, &
	167	ONLY : nesting_mode
[1320]	168
[1933]	169
[1]	170	IMPLICIT NONE
	171
[1682]	172	INTEGER(iwp) :: i !<
	173	INTEGER(iwp) :: j !<
	174	INTEGER(iwp) :: k !<
[1]	175
[1682]	176	REAL(wp) :: c_max !<
	177	REAL(wp) :: denom !<
[1]	178
[73]	179
[1]	180	!
[1113]	181	!-- Bottom boundary
	182	IF ( ibc_uv_b == 1 ) THEN
	183	!$acc kernels present( u_p, v_p )
	184	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	185	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	186	!$acc end kernels
	187	ENDIF
	188
	189	!$acc kernels present( nzb_w_inner, w_p )
	190	DO i = nxlg, nxrg
	191	DO j = nysg, nyng
[1353]	192	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
[1113]	193	ENDDO
	194	ENDDO
	195	!$acc end kernels
	196
	197	!
[1762]	198	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	199	IF ( ibc_uv_t == 0 ) THEN
	200	!$acc kernels present( u_init, u_p, v_init, v_p )
	201	u_p(nzt+1,:,:) = u_init(nzt+1)
	202	v_p(nzt+1,:,:) = v_init(nzt+1)
	203	!$acc end kernels
[1762]	204	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	205	!$acc kernels present( u_p, v_p )
	206	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	207	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	208	!$acc end kernels
	209	ENDIF
	210
[1762]	211	IF ( .NOT. nest_domain ) THEN
	212	!$acc kernels present( w_p )
	213	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
	214	!$acc end kernels
	215	ENDIF
	216
[1113]	217	!
	218	!-- Temperature at bottom boundary.
	219	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	220	!-- the sea surface temperature of the coupled ocean model.
	221	IF ( ibc_pt_b == 0 ) THEN
	222	!$acc kernels present( nzb_s_inner, pt, pt_p )
[1257]	223	!$acc loop independent
[667]	224	DO i = nxlg, nxrg
[1257]	225	!$acc loop independent
[667]	226	DO j = nysg, nyng
[1113]	227	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
[1]	228	ENDDO
	229	ENDDO
[1113]	230	!$acc end kernels
	231	ELSEIF ( ibc_pt_b == 1 ) THEN
	232	!$acc kernels present( nzb_s_inner, pt_p )
[1257]	233	!$acc loop independent
[1113]	234	DO i = nxlg, nxrg
[1257]	235	!$acc loop independent
[1113]	236	DO j = nysg, nyng
	237	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
	238	ENDDO
	239	ENDDO
	240	!$acc end kernels
	241	ENDIF
[1]	242
	243	!
[1113]	244	!-- Temperature at top boundary
	245	IF ( ibc_pt_t == 0 ) THEN
	246	!$acc kernels present( pt, pt_p )
	247	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	248	!
	249	!-- In case of nudging adjust top boundary to pt which is
	250	!-- read in from NUDGING-DATA
	251	IF ( nudging ) THEN
	252	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	253	ENDIF
[1113]	254	!$acc end kernels
	255	ELSEIF ( ibc_pt_t == 1 ) THEN
	256	!$acc kernels present( pt_p )
	257	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	258	!$acc end kernels
	259	ELSEIF ( ibc_pt_t == 2 ) THEN
	260	!$acc kernels present( dzu, pt_p )
[1992]	261	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	262	!$acc end kernels
	263	ENDIF
[1]	264
	265	!
[1113]	266	!-- Boundary conditions for TKE
	267	!-- Generally Neumann conditions with de/dz=0 are assumed
	268	IF ( .NOT. constant_diffusion ) THEN
	269	!$acc kernels present( e_p, nzb_s_inner )
[1257]	270	!$acc loop independent
[1113]	271	DO i = nxlg, nxrg
[1257]	272	!$acc loop independent
[1113]	273	DO j = nysg, nyng
	274	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
[73]	275	ENDDO
[1113]	276	ENDDO
[1762]	277	IF ( .NOT. nest_domain ) THEN
	278	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	279	ENDIF
[1113]	280	!$acc end kernels
	281	ENDIF
	282
	283	!
	284	!-- Boundary conditions for salinity
	285	IF ( ocean ) THEN
	286	!
	287	!-- Bottom boundary: Neumann condition because salinity flux is always
	288	!-- given
	289	DO i = nxlg, nxrg
	290	DO j = nysg, nyng
	291	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
[1]	292	ENDDO
[1113]	293	ENDDO
[1]	294
	295	!
[1113]	296	!-- Top boundary: Dirichlet or Neumann
	297	IF ( ibc_sa_t == 0 ) THEN
	298	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	299	ELSEIF ( ibc_sa_t == 1 ) THEN
	300	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	301	ENDIF
	302
[1113]	303	ENDIF
	304
[1]	305	!
[1960]	306	!-- Boundary conditions for total water content,
[1113]	307	!-- bottom and top boundary (see also temperature)
[1960]	308	IF ( humidity ) THEN
[1113]	309	!
	310	!-- Surface conditions for constant_humidity_flux
	311	IF ( ibc_q_b == 0 ) THEN
[667]	312	DO i = nxlg, nxrg
	313	DO j = nysg, nyng
[1113]	314	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
[1]	315	ENDDO
	316	ENDDO
[1113]	317	ELSE
[667]	318	DO i = nxlg, nxrg
	319	DO j = nysg, nyng
[1113]	320	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
[95]	321	ENDDO
	322	ENDDO
[1113]	323	ENDIF
[95]	324	!
[1113]	325	!-- Top boundary
[1462]	326	IF ( ibc_q_t == 0 ) THEN
	327	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	328	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	329	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	330	ENDIF
[95]	331
[1822]	332	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1113]	333	!
[1361]	334	!-- Surface conditions rain water (Dirichlet)
[1115]	335	DO i = nxlg, nxrg
	336	DO j = nysg, nyng
[1361]	337	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
	338	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
[73]	339	ENDDO
[1115]	340	ENDDO
[1]	341	!
[1361]	342	!-- Top boundary condition for rain water (Dirichlet)
	343	qr_p(nzt+1,:,:) = 0.0_wp
	344	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	345
[1]	346	ENDIF
[1409]	347	ENDIF
[1]	348	!
[1960]	349	!-- Boundary conditions for scalar,
	350	!-- bottom and top boundary (see also temperature)
	351	IF ( passive_scalar ) THEN
	352	!
	353	!-- Surface conditions for constant_humidity_flux
	354	IF ( ibc_s_b == 0 ) THEN
	355	DO i = nxlg, nxrg
	356	DO j = nysg, nyng
	357	s_p(nzb_s_inner(j,i),j,i) = s(nzb_s_inner(j,i),j,i)
	358	ENDDO
	359	ENDDO
	360	ELSE
	361	DO i = nxlg, nxrg
	362	DO j = nysg, nyng
	363	s_p(nzb_s_inner(j,i),j,i) = s_p(nzb_s_inner(j,i)+1,j,i)
	364	ENDDO
	365	ENDDO
	366	ENDIF
	367	!
[1992]	368	!-- Top boundary condition
	369	IF ( ibc_s_t == 0 ) THEN
[1960]	370	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	371	ELSEIF ( ibc_s_t == 1 ) THEN
	372	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	373	ELSEIF ( ibc_s_t == 2 ) THEN
	374	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	375	ENDIF
	376
	377	ENDIF
	378	!
[1762]	379	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	380	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	381	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	382	!-- version) these levels are handled as a prognostic level, boundary values
	383	!-- have to be restored here.
[1409]	384	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	385	IF ( inflow_s ) THEN
	386	v_p(:,nys,:) = v_p(:,nys-1,:)
	387	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	388	ELSEIF ( inflow_n ) THEN
	389	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	390	ELSEIF ( inflow_l ) THEN
	391	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	392	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	393	ELSEIF ( inflow_r ) THEN
	394	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	395	ENDIF
[1]	396
	397	!
[1762]	398	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	399	!-- in case of nest boundaries. This must not be done in case of vertical nesting
	400	!-- mode as in that case the lateral boundaries are actually cyclic.
	401	IF ( nesting_mode /= 'vertical' ) THEN
	402	IF ( nest_bound_s ) THEN
	403	v_p(:,nys,:) = v_p(:,nys-1,:)
	404	ENDIF
	405	IF ( nest_bound_l ) THEN
	406	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	407	ENDIF
[1762]	408	ENDIF
	409
	410	!
[1409]	411	!-- Lateral boundary conditions for scalar quantities at the outflow
	412	IF ( outflow_s ) THEN
	413	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	414	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[1960]	415	IF ( humidity ) THEN
[1409]	416	q_p(:,nys-1,:) = q_p(:,nys,:)
[1822]	417	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	418	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	419	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	420	ENDIF
[1409]	421	ENDIF
[1960]	422	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[1409]	423	ELSEIF ( outflow_n ) THEN
	424	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	425	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1960]	426	IF ( humidity ) THEN
[1409]	427	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[1822]	428	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	429	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	430	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	431	ENDIF
[1409]	432	ENDIF
[1960]	433	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[1409]	434	ELSEIF ( outflow_l ) THEN
	435	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	436	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[1960]	437	IF ( humidity ) THEN
[1409]	438	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[1822]	439	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	440	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	441	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	442	ENDIF
[1409]	443	ENDIF
[1960]	444	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[1409]	445	ELSEIF ( outflow_r ) THEN
	446	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	447	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1960]	448	IF ( humidity ) THEN
[1409]	449	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[1822]	450	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	451	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	452	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	453	ENDIF
[1]	454	ENDIF
[1960]	455	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	456	ENDIF
	457
	458	!
[1159]	459	!-- Radiation boundary conditions for the velocities at the respective outflow.
	460	!-- The phase velocity is either assumed to the maximum phase velocity that
	461	!-- ensures numerical stability (CFL-condition) or calculated after
	462	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	463	IF ( outflow_s ) THEN
[75]	464
[1159]	465	IF ( use_cmax ) THEN
	466	u_p(:,-1,:) = u(:,0,:)
	467	v_p(:,0,:) = v(:,1,:)
	468	w_p(:,-1,:) = w(:,0,:)
	469	ELSEIF ( .NOT. use_cmax ) THEN
[75]	470
[978]	471	c_max = dy / dt_3d
[75]	472
[1353]	473	c_u_m_l = 0.0_wp
	474	c_v_m_l = 0.0_wp
	475	c_w_m_l = 0.0_wp
[978]	476
[1353]	477	c_u_m = 0.0_wp
	478	c_v_m = 0.0_wp
	479	c_w_m = 0.0_wp
[978]	480
[75]	481	!
[996]	482	!-- Calculate the phase speeds for u, v, and w, first local and then
	483	!-- average along the outflow boundary.
	484	DO k = nzb+1, nzt+1
	485	DO i = nxl, nxr
[75]	486
[106]	487	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	488
[1353]	489	IF ( denom /= 0.0_wp ) THEN
[996]	490	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	491	IF ( c_u(k,i) < 0.0_wp ) THEN
	492	c_u(k,i) = 0.0_wp
[106]	493	ELSEIF ( c_u(k,i) > c_max ) THEN
	494	c_u(k,i) = c_max
	495	ENDIF
	496	ELSE
	497	c_u(k,i) = c_max
[75]	498	ENDIF
	499
[106]	500	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	501
[1353]	502	IF ( denom /= 0.0_wp ) THEN
[996]	503	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	504	IF ( c_v(k,i) < 0.0_wp ) THEN
	505	c_v(k,i) = 0.0_wp
[106]	506	ELSEIF ( c_v(k,i) > c_max ) THEN
	507	c_v(k,i) = c_max
	508	ENDIF
	509	ELSE
	510	c_v(k,i) = c_max
[75]	511	ENDIF
	512
[106]	513	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	514
[1353]	515	IF ( denom /= 0.0_wp ) THEN
[996]	516	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	517	IF ( c_w(k,i) < 0.0_wp ) THEN
	518	c_w(k,i) = 0.0_wp
[106]	519	ELSEIF ( c_w(k,i) > c_max ) THEN
	520	c_w(k,i) = c_max
	521	ENDIF
	522	ELSE
	523	c_w(k,i) = c_max
[75]	524	ENDIF
[106]	525
[978]	526	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	527	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	528	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	529
[978]	530	ENDDO
	531	ENDDO
[75]	532
[978]	533	#if defined( __parallel )
	534	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	535	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	536	MPI_SUM, comm1dx, ierr )
	537	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	538	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	539	MPI_SUM, comm1dx, ierr )
	540	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	541	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	542	MPI_SUM, comm1dx, ierr )
	543	#else
	544	c_u_m = c_u_m_l
	545	c_v_m = c_v_m_l
	546	c_w_m = c_w_m_l
	547	#endif
	548
	549	c_u_m = c_u_m / (nx+1)
	550	c_v_m = c_v_m / (nx+1)
	551	c_w_m = c_w_m / (nx+1)
	552
[75]	553	!
[978]	554	!-- Save old timelevels for the next timestep
	555	IF ( intermediate_timestep_count == 1 ) THEN
	556	u_m_s(:,:,:) = u(:,0:1,:)
	557	v_m_s(:,:,:) = v(:,1:2,:)
	558	w_m_s(:,:,:) = w(:,0:1,:)
	559	ENDIF
	560
	561	!
	562	!-- Calculate the new velocities
[996]	563	DO k = nzb+1, nzt+1
	564	DO i = nxlg, nxrg
[978]	565	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	566	( u(k,-1,i) - u(k,0,i) ) * ddy
	567
[978]	568	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	569	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	570
[978]	571	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	572	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	573	ENDDO
[75]	574	ENDDO
	575
	576	!
[978]	577	!-- Bottom boundary at the outflow
	578	IF ( ibc_uv_b == 0 ) THEN
[1353]	579	u_p(nzb,-1,:) = 0.0_wp
	580	v_p(nzb,0,:) = 0.0_wp
[978]	581	ELSE
	582	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	583	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	584	ENDIF
[1353]	585	w_p(nzb,-1,:) = 0.0_wp
[73]	586
[75]	587	!
[978]	588	!-- Top boundary at the outflow
	589	IF ( ibc_uv_t == 0 ) THEN
	590	u_p(nzt+1,-1,:) = u_init(nzt+1)
	591	v_p(nzt+1,0,:) = v_init(nzt+1)
	592	ELSE
[1742]	593	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	594	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	595	ENDIF
[1353]	596	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	597
[75]	598	ENDIF
[73]	599
[75]	600	ENDIF
[73]	601
[106]	602	IF ( outflow_n ) THEN
[73]	603
[1159]	604	IF ( use_cmax ) THEN
	605	u_p(:,ny+1,:) = u(:,ny,:)
	606	v_p(:,ny+1,:) = v(:,ny,:)
	607	w_p(:,ny+1,:) = w(:,ny,:)
	608	ELSEIF ( .NOT. use_cmax ) THEN
[75]	609
[978]	610	c_max = dy / dt_3d
[75]	611
[1353]	612	c_u_m_l = 0.0_wp
	613	c_v_m_l = 0.0_wp
	614	c_w_m_l = 0.0_wp
[978]	615
[1353]	616	c_u_m = 0.0_wp
	617	c_v_m = 0.0_wp
	618	c_w_m = 0.0_wp
[978]	619
[1]	620	!
[996]	621	!-- Calculate the phase speeds for u, v, and w, first local and then
	622	!-- average along the outflow boundary.
	623	DO k = nzb+1, nzt+1
	624	DO i = nxl, nxr
[73]	625
[106]	626	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	627
[1353]	628	IF ( denom /= 0.0_wp ) THEN
[996]	629	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	630	IF ( c_u(k,i) < 0.0_wp ) THEN
	631	c_u(k,i) = 0.0_wp
[106]	632	ELSEIF ( c_u(k,i) > c_max ) THEN
	633	c_u(k,i) = c_max
	634	ENDIF
	635	ELSE
	636	c_u(k,i) = c_max
[73]	637	ENDIF
	638
[106]	639	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	640
[1353]	641	IF ( denom /= 0.0_wp ) THEN
[996]	642	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	643	IF ( c_v(k,i) < 0.0_wp ) THEN
	644	c_v(k,i) = 0.0_wp
[106]	645	ELSEIF ( c_v(k,i) > c_max ) THEN
	646	c_v(k,i) = c_max
	647	ENDIF
	648	ELSE
	649	c_v(k,i) = c_max
[73]	650	ENDIF
	651
[106]	652	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	653
[1353]	654	IF ( denom /= 0.0_wp ) THEN
[996]	655	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	656	IF ( c_w(k,i) < 0.0_wp ) THEN
	657	c_w(k,i) = 0.0_wp
[106]	658	ELSEIF ( c_w(k,i) > c_max ) THEN
	659	c_w(k,i) = c_max
	660	ENDIF
	661	ELSE
	662	c_w(k,i) = c_max
[73]	663	ENDIF
[106]	664
[978]	665	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	666	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	667	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	668
[978]	669	ENDDO
	670	ENDDO
[73]	671
[978]	672	#if defined( __parallel )
	673	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	674	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	675	MPI_SUM, comm1dx, ierr )
	676	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	677	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	678	MPI_SUM, comm1dx, ierr )
	679	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	680	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	681	MPI_SUM, comm1dx, ierr )
	682	#else
	683	c_u_m = c_u_m_l
	684	c_v_m = c_v_m_l
	685	c_w_m = c_w_m_l
	686	#endif
	687
	688	c_u_m = c_u_m / (nx+1)
	689	c_v_m = c_v_m / (nx+1)
	690	c_w_m = c_w_m / (nx+1)
	691
[73]	692	!
[978]	693	!-- Save old timelevels for the next timestep
	694	IF ( intermediate_timestep_count == 1 ) THEN
	695	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	696	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	697	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	698	ENDIF
[73]	699
[978]	700	!
	701	!-- Calculate the new velocities
[996]	702	DO k = nzb+1, nzt+1
	703	DO i = nxlg, nxrg
[978]	704	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	705	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	706
[978]	707	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	708	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	709
[978]	710	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	711	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	712	ENDDO
[1]	713	ENDDO
	714
	715	!
[978]	716	!-- Bottom boundary at the outflow
	717	IF ( ibc_uv_b == 0 ) THEN
[1353]	718	u_p(nzb,ny+1,:) = 0.0_wp
	719	v_p(nzb,ny+1,:) = 0.0_wp
[978]	720	ELSE
	721	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	722	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	723	ENDIF
[1353]	724	w_p(nzb,ny+1,:) = 0.0_wp
[73]	725
	726	!
[978]	727	!-- Top boundary at the outflow
	728	IF ( ibc_uv_t == 0 ) THEN
	729	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	730	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	731	ELSE
	732	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	733	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	734	ENDIF
[1353]	735	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	736
[1]	737	ENDIF
	738
[75]	739	ENDIF
	740
[106]	741	IF ( outflow_l ) THEN
[75]	742
[1159]	743	IF ( use_cmax ) THEN
[1717]	744	u_p(:,:,0) = u(:,:,1)
	745	v_p(:,:,-1) = v(:,:,0)
[1159]	746	w_p(:,:,-1) = w(:,:,0)
	747	ELSEIF ( .NOT. use_cmax ) THEN
[75]	748
[978]	749	c_max = dx / dt_3d
[75]	750
[1353]	751	c_u_m_l = 0.0_wp
	752	c_v_m_l = 0.0_wp
	753	c_w_m_l = 0.0_wp
[978]	754
[1353]	755	c_u_m = 0.0_wp
	756	c_v_m = 0.0_wp
	757	c_w_m = 0.0_wp
[978]	758
[1]	759	!
[996]	760	!-- Calculate the phase speeds for u, v, and w, first local and then
	761	!-- average along the outflow boundary.
	762	DO k = nzb+1, nzt+1
	763	DO j = nys, nyn
[75]	764
[106]	765	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	766
[1353]	767	IF ( denom /= 0.0_wp ) THEN
[996]	768	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	769	IF ( c_u(k,j) < 0.0_wp ) THEN
	770	c_u(k,j) = 0.0_wp
[107]	771	ELSEIF ( c_u(k,j) > c_max ) THEN
	772	c_u(k,j) = c_max
[106]	773	ENDIF
	774	ELSE
[107]	775	c_u(k,j) = c_max
[75]	776	ENDIF
	777
[106]	778	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	779
[1353]	780	IF ( denom /= 0.0_wp ) THEN
[996]	781	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	782	IF ( c_v(k,j) < 0.0_wp ) THEN
	783	c_v(k,j) = 0.0_wp
[106]	784	ELSEIF ( c_v(k,j) > c_max ) THEN
	785	c_v(k,j) = c_max
	786	ENDIF
	787	ELSE
	788	c_v(k,j) = c_max
[75]	789	ENDIF
	790
[106]	791	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	792
[1353]	793	IF ( denom /= 0.0_wp ) THEN
[996]	794	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	795	IF ( c_w(k,j) < 0.0_wp ) THEN
	796	c_w(k,j) = 0.0_wp
[106]	797	ELSEIF ( c_w(k,j) > c_max ) THEN
	798	c_w(k,j) = c_max
	799	ENDIF
	800	ELSE
	801	c_w(k,j) = c_max
[75]	802	ENDIF
[106]	803
[978]	804	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	805	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	806	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	807
[978]	808	ENDDO
	809	ENDDO
[75]	810
[978]	811	#if defined( __parallel )
	812	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	813	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	814	MPI_SUM, comm1dy, ierr )
	815	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	816	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	817	MPI_SUM, comm1dy, ierr )
	818	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	819	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	820	MPI_SUM, comm1dy, ierr )
	821	#else
	822	c_u_m = c_u_m_l
	823	c_v_m = c_v_m_l
	824	c_w_m = c_w_m_l
	825	#endif
	826
	827	c_u_m = c_u_m / (ny+1)
	828	c_v_m = c_v_m / (ny+1)
	829	c_w_m = c_w_m / (ny+1)
	830
[73]	831	!
[978]	832	!-- Save old timelevels for the next timestep
	833	IF ( intermediate_timestep_count == 1 ) THEN
	834	u_m_l(:,:,:) = u(:,:,1:2)
	835	v_m_l(:,:,:) = v(:,:,0:1)
	836	w_m_l(:,:,:) = w(:,:,0:1)
	837	ENDIF
	838
	839	!
	840	!-- Calculate the new velocities
[996]	841	DO k = nzb+1, nzt+1
[1113]	842	DO j = nysg, nyng
[978]	843	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	844	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	845
[978]	846	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	847	( v(k,j,-1) - v(k,j,0) ) * ddx
	848
[978]	849	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	850	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	851	ENDDO
[75]	852	ENDDO
	853
	854	!
[978]	855	!-- Bottom boundary at the outflow
	856	IF ( ibc_uv_b == 0 ) THEN
[1353]	857	u_p(nzb,:,0) = 0.0_wp
	858	v_p(nzb,:,-1) = 0.0_wp
[978]	859	ELSE
	860	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	861	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	862	ENDIF
[1353]	863	w_p(nzb,:,-1) = 0.0_wp
[1]	864
[75]	865	!
[978]	866	!-- Top boundary at the outflow
	867	IF ( ibc_uv_t == 0 ) THEN
[1764]	868	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	869	v_p(nzt+1,:,-1) = v_init(nzt+1)
	870	ELSE
[1764]	871	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	872	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	873	ENDIF
[1353]	874	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	875
[75]	876	ENDIF
[73]	877
[75]	878	ENDIF
[73]	879
[106]	880	IF ( outflow_r ) THEN
[73]	881
[1159]	882	IF ( use_cmax ) THEN
	883	u_p(:,:,nx+1) = u(:,:,nx)
	884	v_p(:,:,nx+1) = v(:,:,nx)
	885	w_p(:,:,nx+1) = w(:,:,nx)
	886	ELSEIF ( .NOT. use_cmax ) THEN
[75]	887
[978]	888	c_max = dx / dt_3d
[75]	889
[1353]	890	c_u_m_l = 0.0_wp
	891	c_v_m_l = 0.0_wp
	892	c_w_m_l = 0.0_wp
[978]	893
[1353]	894	c_u_m = 0.0_wp
	895	c_v_m = 0.0_wp
	896	c_w_m = 0.0_wp
[978]	897
[1]	898	!
[996]	899	!-- Calculate the phase speeds for u, v, and w, first local and then
	900	!-- average along the outflow boundary.
	901	DO k = nzb+1, nzt+1
	902	DO j = nys, nyn
[73]	903
[106]	904	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	905
[1353]	906	IF ( denom /= 0.0_wp ) THEN
[996]	907	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	908	IF ( c_u(k,j) < 0.0_wp ) THEN
	909	c_u(k,j) = 0.0_wp
[106]	910	ELSEIF ( c_u(k,j) > c_max ) THEN
	911	c_u(k,j) = c_max
	912	ENDIF
	913	ELSE
	914	c_u(k,j) = c_max
[73]	915	ENDIF
	916
[106]	917	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	918
[1353]	919	IF ( denom /= 0.0_wp ) THEN
[996]	920	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	921	IF ( c_v(k,j) < 0.0_wp ) THEN
	922	c_v(k,j) = 0.0_wp
[106]	923	ELSEIF ( c_v(k,j) > c_max ) THEN
	924	c_v(k,j) = c_max
	925	ENDIF
	926	ELSE
	927	c_v(k,j) = c_max
[73]	928	ENDIF
	929
[106]	930	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	931
[1353]	932	IF ( denom /= 0.0_wp ) THEN
[996]	933	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	934	IF ( c_w(k,j) < 0.0_wp ) THEN
	935	c_w(k,j) = 0.0_wp
[106]	936	ELSEIF ( c_w(k,j) > c_max ) THEN
	937	c_w(k,j) = c_max
	938	ENDIF
	939	ELSE
	940	c_w(k,j) = c_max
[73]	941	ENDIF
[106]	942
[978]	943	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	944	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	945	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	946
[978]	947	ENDDO
	948	ENDDO
[73]	949
[978]	950	#if defined( __parallel )
	951	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	952	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	953	MPI_SUM, comm1dy, ierr )
	954	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	955	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	956	MPI_SUM, comm1dy, ierr )
	957	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	958	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	959	MPI_SUM, comm1dy, ierr )
	960	#else
	961	c_u_m = c_u_m_l
	962	c_v_m = c_v_m_l
	963	c_w_m = c_w_m_l
	964	#endif
	965
	966	c_u_m = c_u_m / (ny+1)
	967	c_v_m = c_v_m / (ny+1)
	968	c_w_m = c_w_m / (ny+1)
	969
[73]	970	!
[978]	971	!-- Save old timelevels for the next timestep
	972	IF ( intermediate_timestep_count == 1 ) THEN
	973	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	974	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	975	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	976	ENDIF
[73]	977
[978]	978	!
	979	!-- Calculate the new velocities
[996]	980	DO k = nzb+1, nzt+1
[1113]	981	DO j = nysg, nyng
[978]	982	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	983	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	984
[978]	985	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	986	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	987
[978]	988	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	989	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	990	ENDDO
[73]	991	ENDDO
	992
	993	!
[978]	994	!-- Bottom boundary at the outflow
	995	IF ( ibc_uv_b == 0 ) THEN
[1353]	996	u_p(nzb,:,nx+1) = 0.0_wp
	997	v_p(nzb,:,nx+1) = 0.0_wp
[978]	998	ELSE
	999	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1000	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1001	ENDIF
[1353]	1002	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1003
	1004	!
[978]	1005	!-- Top boundary at the outflow
	1006	IF ( ibc_uv_t == 0 ) THEN
	1007	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1008	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1009	ELSE
	1010	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1011	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1012	ENDIF
[1742]	1013	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1014
[1]	1015	ENDIF
	1016
	1017	ENDIF
	1018
	1019	END SUBROUTINE boundary_conds

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