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source: palm/trunk/SOURCE/boundary_conds.f90 @ 2195

Last change on this file since 2195 was 2119, checked in by raasch, 8 years ago
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[1682]	1	!> @file boundary_conds.f90
[2000]	2	!------------------------------------------------------------------------------!
[1036]	3	! This file is part of PALM.
	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1036]	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
[2101]	17	! Copyright 1997-2017 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[484]	20	! Current revisions:
[1]	21	! -----------------
[1933]	22	!
[2119]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 2119 2017-01-17 16:51:50Z raasch $
	27	!
[2119]	28	! 2118 2017-01-17 16:38:49Z raasch
	29	! OpenACC directives removed
	30	!
[2001]	31	! 2000 2016-08-20 18:09:15Z knoop
	32	! Forced header and separation lines into 80 columns
	33	!
[1993]	34	! 1992 2016-08-12 15:14:59Z suehring
	35	! Adjustments for top boundary condition for passive scalar
	36	!
[1961]	37	! 1960 2016-07-12 16:34:24Z suehring
	38	! Treat humidity and passive scalar separately
	39	!
[1933]	40	! 1823 2016-04-07 08:57:52Z hoffmann
	41	! Initial version of purely vertical nesting introduced.
	42	!
[1823]	43	! 1822 2016-04-07 07:49:42Z hoffmann
	44	! icloud_scheme removed. microphyisics_seifert added.
	45	!
[1765]	46	! 1764 2016-02-28 12:45:19Z raasch
	47	! index bug for u_p at left outflow removed
	48	!
[1763]	49	! 1762 2016-02-25 12:31:13Z hellstea
	50	! Introduction of nested domain feature
	51	!
[1744]	52	! 1742 2016-01-13 09:50:06Z raasch
	53	! bugfix for outflow Neumann boundary conditions at bottom and top
	54	!
[1718]	55	! 1717 2015-11-11 15:09:47Z raasch
	56	! Bugfix: index error in outflow conditions for left boundary
	57	!
[1683]	58	! 1682 2015-10-07 23:56:08Z knoop
	59	! Code annotations made doxygen readable
	60	!
[1717]	61	! 1410 2014-05-23 12:16:18Z suehring
[1463]	62	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	63	! top
	64	!
[1410]	65	! 1399 2014-05-07 11:16:25Z heinze
	66	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	67	! is used.
	68	!
[1399]	69	! 1398 2014-05-07 11:15:00Z heinze
	70	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	71	! for large_scale_forcing
	72	!
[1381]	73	! 1380 2014-04-28 12:40:45Z heinze
	74	! Adjust Dirichlet-condition at the top for pt in case of nudging
	75	!
[1362]	76	! 1361 2014-04-16 15:17:48Z hoffmann
	77	! Bottom and top boundary conditions of rain water content (qr) and
	78	! rain drop concentration (nr) changed to Dirichlet
	79	!
[1354]	80	! 1353 2014-04-08 15:21:23Z heinze
	81	! REAL constants provided with KIND-attribute
	82	!
[1321]	83	! 1320 2014-03-20 08:40:49Z raasch
[1320]	84	! ONLY-attribute added to USE-statements,
	85	! kind-parameters added to all INTEGER and REAL declaration statements,
	86	! kinds are defined in new module kinds,
	87	! revision history before 2012 removed,
	88	! comment fields (!:) to be used for variable explanations added to
	89	! all variable declaration statements
[1160]	90	!
[1258]	91	! 1257 2013-11-08 15:18:40Z raasch
	92	! loop independent clauses added
	93	!
[1242]	94	! 1241 2013-10-30 11:36:58Z heinze
	95	! Adjust ug and vg at each timestep in case of large_scale_forcing
	96	!
[1160]	97	! 1159 2013-05-21 11:58:22Z fricke
[1159]	98	! Bugfix: Neumann boundary conditions for the velocity components at the
	99	! outflow are in fact radiation boundary conditions using the maximum phase
	100	! velocity that ensures numerical stability (CFL-condition).
	101	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	102	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	103	! u_p, v_p, w_p
[1116]	104	!
	105	! 1115 2013-03-26 18:16:16Z hoffmann
	106	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	107	! boundary-conditions
	108	!
[1114]	109	! 1113 2013-03-10 02:48:14Z raasch
	110	! GPU-porting
	111	! dummy argument "range" removed
	112	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	113	!
[1054]	114	! 1053 2012-11-13 17:11:03Z hoffmann
	115	! boundary conditions for the two new prognostic equations (nr, qr) of the
	116	! two-moment cloud scheme
	117	!
[1037]	118	! 1036 2012-10-22 13:43:42Z raasch
	119	! code put under GPL (PALM 3.9)
	120	!
[997]	121	! 996 2012-09-07 10:41:47Z raasch
	122	! little reformatting
	123	!
[979]	124	! 978 2012-08-09 08:28:32Z fricke
	125	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	126	! Outflow boundary conditions for the velocity components can be set to Neumann
	127	! conditions or to radiation conditions with a horizontal averaged phase
	128	! velocity.
	129	!
[876]	130	! 875 2012-04-02 15:35:15Z gryschka
	131	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	132	!
[1]	133	! Revision 1.1 1997/09/12 06:21:34 raasch
	134	! Initial revision
	135	!
	136	!
	137	! Description:
	138	! ------------
[1682]	139	!> Boundary conditions for the prognostic quantities.
	140	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	141	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	142	!> handled in routine exchange_horiz. Pressure boundary conditions are
	143	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	144	!------------------------------------------------------------------------------!
[1682]	145	SUBROUTINE boundary_conds
	146
[1]	147
[1320]	148	USE arrays_3d, &
	149	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]	150	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, s, s_p, sa, sa_p, &
[1320]	151	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
	152	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[1960]	153	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
[1320]	154
	155	USE control_parameters, &
[1960]	156	ONLY: bc_pt_t_val, bc_q_t_val, bc_s_t_val, constant_diffusion, &
[1320]	157	cloud_physics, dt_3d, humidity, &
[1960]	158	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
	159	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
	160	inflow_s, intermediate_timestep_count, large_scale_forcing, &
[1822]	161	microphysics_seifert, nest_domain, nest_bound_l, nest_bound_s, &
	162	nudging, ocean, outflow_l, outflow_n, outflow_r, outflow_s, &
	163	passive_scalar, tsc, use_cmax
[1320]	164
	165	USE grid_variables, &
	166	ONLY: ddx, ddy, dx, dy
	167
	168	USE indices, &
	169	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
	170	nzb, nzb_s_inner, nzb_w_inner, nzt
	171
	172	USE kinds
	173
[1]	174	USE pegrid
	175
[1933]	176	USE pmc_interface, &
	177	ONLY : nesting_mode
[1320]	178
[1933]	179
[1]	180	IMPLICIT NONE
	181
[1682]	182	INTEGER(iwp) :: i !<
	183	INTEGER(iwp) :: j !<
	184	INTEGER(iwp) :: k !<
[1]	185
[1682]	186	REAL(wp) :: c_max !<
	187	REAL(wp) :: denom !<
[1]	188
[73]	189
[1]	190	!
[1113]	191	!-- Bottom boundary
	192	IF ( ibc_uv_b == 1 ) THEN
	193	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	194	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	195	ENDIF
	196
	197	DO i = nxlg, nxrg
	198	DO j = nysg, nyng
[1353]	199	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
[1113]	200	ENDDO
	201	ENDDO
	202
	203	!
[1762]	204	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	205	IF ( ibc_uv_t == 0 ) THEN
	206	u_p(nzt+1,:,:) = u_init(nzt+1)
	207	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	208	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	209	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	210	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	211	ENDIF
	212
[1762]	213	IF ( .NOT. nest_domain ) THEN
	214	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
	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
[667]	222	DO i = nxlg, nxrg
	223	DO j = nysg, nyng
[1113]	224	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
[1]	225	ENDDO
	226	ENDDO
[1113]	227	ELSEIF ( ibc_pt_b == 1 ) THEN
	228	DO i = nxlg, nxrg
	229	DO j = nysg, nyng
	230	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
	231	ENDDO
	232	ENDDO
	233	ENDIF
[1]	234
	235	!
[1113]	236	!-- Temperature at top boundary
	237	IF ( ibc_pt_t == 0 ) THEN
	238	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	239	!
	240	!-- In case of nudging adjust top boundary to pt which is
	241	!-- read in from NUDGING-DATA
	242	IF ( nudging ) THEN
	243	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	244	ENDIF
[1113]	245	ELSEIF ( ibc_pt_t == 1 ) THEN
	246	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	247	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	248	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	249	ENDIF
[1]	250
	251	!
[1113]	252	!-- Boundary conditions for TKE
	253	!-- Generally Neumann conditions with de/dz=0 are assumed
	254	IF ( .NOT. constant_diffusion ) THEN
	255	DO i = nxlg, nxrg
	256	DO j = nysg, nyng
	257	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
[73]	258	ENDDO
[1113]	259	ENDDO
[1762]	260	IF ( .NOT. nest_domain ) THEN
	261	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	262	ENDIF
[1113]	263	ENDIF
	264
	265	!
	266	!-- Boundary conditions for salinity
	267	IF ( ocean ) THEN
	268	!
	269	!-- Bottom boundary: Neumann condition because salinity flux is always
	270	!-- given
	271	DO i = nxlg, nxrg
	272	DO j = nysg, nyng
	273	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
[1]	274	ENDDO
[1113]	275	ENDDO
[1]	276
	277	!
[1113]	278	!-- Top boundary: Dirichlet or Neumann
	279	IF ( ibc_sa_t == 0 ) THEN
	280	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	281	ELSEIF ( ibc_sa_t == 1 ) THEN
	282	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	283	ENDIF
	284
[1113]	285	ENDIF
	286
[1]	287	!
[1960]	288	!-- Boundary conditions for total water content,
[1113]	289	!-- bottom and top boundary (see also temperature)
[1960]	290	IF ( humidity ) THEN
[1113]	291	!
	292	!-- Surface conditions for constant_humidity_flux
	293	IF ( ibc_q_b == 0 ) THEN
[667]	294	DO i = nxlg, nxrg
	295	DO j = nysg, nyng
[1113]	296	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
[1]	297	ENDDO
	298	ENDDO
[1113]	299	ELSE
[667]	300	DO i = nxlg, nxrg
	301	DO j = nysg, nyng
[1113]	302	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
[95]	303	ENDDO
	304	ENDDO
[1113]	305	ENDIF
[95]	306	!
[1113]	307	!-- Top boundary
[1462]	308	IF ( ibc_q_t == 0 ) THEN
	309	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	310	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	311	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	312	ENDIF
[95]	313
[1822]	314	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1113]	315	!
[1361]	316	!-- Surface conditions rain water (Dirichlet)
[1115]	317	DO i = nxlg, nxrg
	318	DO j = nysg, nyng
[1361]	319	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
	320	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
[73]	321	ENDDO
[1115]	322	ENDDO
[1]	323	!
[1361]	324	!-- Top boundary condition for rain water (Dirichlet)
	325	qr_p(nzt+1,:,:) = 0.0_wp
	326	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	327
[1]	328	ENDIF
[1409]	329	ENDIF
[1]	330	!
[1960]	331	!-- Boundary conditions for scalar,
	332	!-- bottom and top boundary (see also temperature)
	333	IF ( passive_scalar ) THEN
	334	!
	335	!-- Surface conditions for constant_humidity_flux
	336	IF ( ibc_s_b == 0 ) THEN
	337	DO i = nxlg, nxrg
	338	DO j = nysg, nyng
	339	s_p(nzb_s_inner(j,i),j,i) = s(nzb_s_inner(j,i),j,i)
	340	ENDDO
	341	ENDDO
	342	ELSE
	343	DO i = nxlg, nxrg
	344	DO j = nysg, nyng
	345	s_p(nzb_s_inner(j,i),j,i) = s_p(nzb_s_inner(j,i)+1,j,i)
	346	ENDDO
	347	ENDDO
	348	ENDIF
	349	!
[1992]	350	!-- Top boundary condition
	351	IF ( ibc_s_t == 0 ) THEN
[1960]	352	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	353	ELSEIF ( ibc_s_t == 1 ) THEN
	354	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	355	ELSEIF ( ibc_s_t == 2 ) THEN
	356	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	357	ENDIF
	358
	359	ENDIF
	360	!
[1762]	361	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	362	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	363	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	364	!-- version) these levels are handled as a prognostic level, boundary values
	365	!-- have to be restored here.
[1409]	366	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	367	IF ( inflow_s ) THEN
	368	v_p(:,nys,:) = v_p(:,nys-1,:)
	369	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	370	ELSEIF ( inflow_n ) THEN
	371	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	372	ELSEIF ( inflow_l ) THEN
	373	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	374	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	375	ELSEIF ( inflow_r ) THEN
	376	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	377	ENDIF
[1]	378
	379	!
[1762]	380	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	381	!-- in case of nest boundaries. This must not be done in case of vertical nesting
	382	!-- mode as in that case the lateral boundaries are actually cyclic.
	383	IF ( nesting_mode /= 'vertical' ) THEN
	384	IF ( nest_bound_s ) THEN
	385	v_p(:,nys,:) = v_p(:,nys-1,:)
	386	ENDIF
	387	IF ( nest_bound_l ) THEN
	388	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	389	ENDIF
[1762]	390	ENDIF
	391
	392	!
[1409]	393	!-- Lateral boundary conditions for scalar quantities at the outflow
	394	IF ( outflow_s ) THEN
	395	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	396	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[1960]	397	IF ( humidity ) THEN
[1409]	398	q_p(:,nys-1,:) = q_p(:,nys,:)
[1822]	399	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	400	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	401	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	402	ENDIF
[1409]	403	ENDIF
[1960]	404	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[1409]	405	ELSEIF ( outflow_n ) THEN
	406	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	407	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1960]	408	IF ( humidity ) THEN
[1409]	409	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[1822]	410	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	411	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	412	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	413	ENDIF
[1409]	414	ENDIF
[1960]	415	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[1409]	416	ELSEIF ( outflow_l ) THEN
	417	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	418	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[1960]	419	IF ( humidity ) THEN
[1409]	420	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[1822]	421	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	422	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	423	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	424	ENDIF
[1409]	425	ENDIF
[1960]	426	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[1409]	427	ELSEIF ( outflow_r ) THEN
	428	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	429	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1960]	430	IF ( humidity ) THEN
[1409]	431	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[1822]	432	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	433	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	434	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	435	ENDIF
[1]	436	ENDIF
[1960]	437	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	438	ENDIF
	439
	440	!
[1159]	441	!-- Radiation boundary conditions for the velocities at the respective outflow.
	442	!-- The phase velocity is either assumed to the maximum phase velocity that
	443	!-- ensures numerical stability (CFL-condition) or calculated after
	444	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	445	IF ( outflow_s ) THEN
[75]	446
[1159]	447	IF ( use_cmax ) THEN
	448	u_p(:,-1,:) = u(:,0,:)
	449	v_p(:,0,:) = v(:,1,:)
	450	w_p(:,-1,:) = w(:,0,:)
	451	ELSEIF ( .NOT. use_cmax ) THEN
[75]	452
[978]	453	c_max = dy / dt_3d
[75]	454
[1353]	455	c_u_m_l = 0.0_wp
	456	c_v_m_l = 0.0_wp
	457	c_w_m_l = 0.0_wp
[978]	458
[1353]	459	c_u_m = 0.0_wp
	460	c_v_m = 0.0_wp
	461	c_w_m = 0.0_wp
[978]	462
[75]	463	!
[996]	464	!-- Calculate the phase speeds for u, v, and w, first local and then
	465	!-- average along the outflow boundary.
	466	DO k = nzb+1, nzt+1
	467	DO i = nxl, nxr
[75]	468
[106]	469	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	470
[1353]	471	IF ( denom /= 0.0_wp ) THEN
[996]	472	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	473	IF ( c_u(k,i) < 0.0_wp ) THEN
	474	c_u(k,i) = 0.0_wp
[106]	475	ELSEIF ( c_u(k,i) > c_max ) THEN
	476	c_u(k,i) = c_max
	477	ENDIF
	478	ELSE
	479	c_u(k,i) = c_max
[75]	480	ENDIF
	481
[106]	482	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	483
[1353]	484	IF ( denom /= 0.0_wp ) THEN
[996]	485	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	486	IF ( c_v(k,i) < 0.0_wp ) THEN
	487	c_v(k,i) = 0.0_wp
[106]	488	ELSEIF ( c_v(k,i) > c_max ) THEN
	489	c_v(k,i) = c_max
	490	ENDIF
	491	ELSE
	492	c_v(k,i) = c_max
[75]	493	ENDIF
	494
[106]	495	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	496
[1353]	497	IF ( denom /= 0.0_wp ) THEN
[996]	498	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	499	IF ( c_w(k,i) < 0.0_wp ) THEN
	500	c_w(k,i) = 0.0_wp
[106]	501	ELSEIF ( c_w(k,i) > c_max ) THEN
	502	c_w(k,i) = c_max
	503	ENDIF
	504	ELSE
	505	c_w(k,i) = c_max
[75]	506	ENDIF
[106]	507
[978]	508	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	509	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	510	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	511
[978]	512	ENDDO
	513	ENDDO
[75]	514
[978]	515	#if defined( __parallel )
	516	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	517	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	518	MPI_SUM, comm1dx, ierr )
	519	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	520	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	521	MPI_SUM, comm1dx, ierr )
	522	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	523	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	524	MPI_SUM, comm1dx, ierr )
	525	#else
	526	c_u_m = c_u_m_l
	527	c_v_m = c_v_m_l
	528	c_w_m = c_w_m_l
	529	#endif
	530
	531	c_u_m = c_u_m / (nx+1)
	532	c_v_m = c_v_m / (nx+1)
	533	c_w_m = c_w_m / (nx+1)
	534
[75]	535	!
[978]	536	!-- Save old timelevels for the next timestep
	537	IF ( intermediate_timestep_count == 1 ) THEN
	538	u_m_s(:,:,:) = u(:,0:1,:)
	539	v_m_s(:,:,:) = v(:,1:2,:)
	540	w_m_s(:,:,:) = w(:,0:1,:)
	541	ENDIF
	542
	543	!
	544	!-- Calculate the new velocities
[996]	545	DO k = nzb+1, nzt+1
	546	DO i = nxlg, nxrg
[978]	547	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	548	( u(k,-1,i) - u(k,0,i) ) * ddy
	549
[978]	550	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	551	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	552
[978]	553	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	554	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	555	ENDDO
[75]	556	ENDDO
	557
	558	!
[978]	559	!-- Bottom boundary at the outflow
	560	IF ( ibc_uv_b == 0 ) THEN
[1353]	561	u_p(nzb,-1,:) = 0.0_wp
	562	v_p(nzb,0,:) = 0.0_wp
[978]	563	ELSE
	564	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	565	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	566	ENDIF
[1353]	567	w_p(nzb,-1,:) = 0.0_wp
[73]	568
[75]	569	!
[978]	570	!-- Top boundary at the outflow
	571	IF ( ibc_uv_t == 0 ) THEN
	572	u_p(nzt+1,-1,:) = u_init(nzt+1)
	573	v_p(nzt+1,0,:) = v_init(nzt+1)
	574	ELSE
[1742]	575	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	576	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	577	ENDIF
[1353]	578	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	579
[75]	580	ENDIF
[73]	581
[75]	582	ENDIF
[73]	583
[106]	584	IF ( outflow_n ) THEN
[73]	585
[1159]	586	IF ( use_cmax ) THEN
	587	u_p(:,ny+1,:) = u(:,ny,:)
	588	v_p(:,ny+1,:) = v(:,ny,:)
	589	w_p(:,ny+1,:) = w(:,ny,:)
	590	ELSEIF ( .NOT. use_cmax ) THEN
[75]	591
[978]	592	c_max = dy / dt_3d
[75]	593
[1353]	594	c_u_m_l = 0.0_wp
	595	c_v_m_l = 0.0_wp
	596	c_w_m_l = 0.0_wp
[978]	597
[1353]	598	c_u_m = 0.0_wp
	599	c_v_m = 0.0_wp
	600	c_w_m = 0.0_wp
[978]	601
[1]	602	!
[996]	603	!-- Calculate the phase speeds for u, v, and w, first local and then
	604	!-- average along the outflow boundary.
	605	DO k = nzb+1, nzt+1
	606	DO i = nxl, nxr
[73]	607
[106]	608	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	609
[1353]	610	IF ( denom /= 0.0_wp ) THEN
[996]	611	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	612	IF ( c_u(k,i) < 0.0_wp ) THEN
	613	c_u(k,i) = 0.0_wp
[106]	614	ELSEIF ( c_u(k,i) > c_max ) THEN
	615	c_u(k,i) = c_max
	616	ENDIF
	617	ELSE
	618	c_u(k,i) = c_max
[73]	619	ENDIF
	620
[106]	621	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	622
[1353]	623	IF ( denom /= 0.0_wp ) THEN
[996]	624	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	625	IF ( c_v(k,i) < 0.0_wp ) THEN
	626	c_v(k,i) = 0.0_wp
[106]	627	ELSEIF ( c_v(k,i) > c_max ) THEN
	628	c_v(k,i) = c_max
	629	ENDIF
	630	ELSE
	631	c_v(k,i) = c_max
[73]	632	ENDIF
	633
[106]	634	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	635
[1353]	636	IF ( denom /= 0.0_wp ) THEN
[996]	637	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	638	IF ( c_w(k,i) < 0.0_wp ) THEN
	639	c_w(k,i) = 0.0_wp
[106]	640	ELSEIF ( c_w(k,i) > c_max ) THEN
	641	c_w(k,i) = c_max
	642	ENDIF
	643	ELSE
	644	c_w(k,i) = c_max
[73]	645	ENDIF
[106]	646
[978]	647	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	648	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	649	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	650
[978]	651	ENDDO
	652	ENDDO
[73]	653
[978]	654	#if defined( __parallel )
	655	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	656	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	657	MPI_SUM, comm1dx, ierr )
	658	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	659	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	660	MPI_SUM, comm1dx, ierr )
	661	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	662	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	663	MPI_SUM, comm1dx, ierr )
	664	#else
	665	c_u_m = c_u_m_l
	666	c_v_m = c_v_m_l
	667	c_w_m = c_w_m_l
	668	#endif
	669
	670	c_u_m = c_u_m / (nx+1)
	671	c_v_m = c_v_m / (nx+1)
	672	c_w_m = c_w_m / (nx+1)
	673
[73]	674	!
[978]	675	!-- Save old timelevels for the next timestep
	676	IF ( intermediate_timestep_count == 1 ) THEN
	677	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	678	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	679	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	680	ENDIF
[73]	681
[978]	682	!
	683	!-- Calculate the new velocities
[996]	684	DO k = nzb+1, nzt+1
	685	DO i = nxlg, nxrg
[978]	686	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	687	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	688
[978]	689	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	690	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	691
[978]	692	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	693	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	694	ENDDO
[1]	695	ENDDO
	696
	697	!
[978]	698	!-- Bottom boundary at the outflow
	699	IF ( ibc_uv_b == 0 ) THEN
[1353]	700	u_p(nzb,ny+1,:) = 0.0_wp
	701	v_p(nzb,ny+1,:) = 0.0_wp
[978]	702	ELSE
	703	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	704	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	705	ENDIF
[1353]	706	w_p(nzb,ny+1,:) = 0.0_wp
[73]	707
	708	!
[978]	709	!-- Top boundary at the outflow
	710	IF ( ibc_uv_t == 0 ) THEN
	711	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	712	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	713	ELSE
	714	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	715	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	716	ENDIF
[1353]	717	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	718
[1]	719	ENDIF
	720
[75]	721	ENDIF
	722
[106]	723	IF ( outflow_l ) THEN
[75]	724
[1159]	725	IF ( use_cmax ) THEN
[1717]	726	u_p(:,:,0) = u(:,:,1)
	727	v_p(:,:,-1) = v(:,:,0)
[1159]	728	w_p(:,:,-1) = w(:,:,0)
	729	ELSEIF ( .NOT. use_cmax ) THEN
[75]	730
[978]	731	c_max = dx / dt_3d
[75]	732
[1353]	733	c_u_m_l = 0.0_wp
	734	c_v_m_l = 0.0_wp
	735	c_w_m_l = 0.0_wp
[978]	736
[1353]	737	c_u_m = 0.0_wp
	738	c_v_m = 0.0_wp
	739	c_w_m = 0.0_wp
[978]	740
[1]	741	!
[996]	742	!-- Calculate the phase speeds for u, v, and w, first local and then
	743	!-- average along the outflow boundary.
	744	DO k = nzb+1, nzt+1
	745	DO j = nys, nyn
[75]	746
[106]	747	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	748
[1353]	749	IF ( denom /= 0.0_wp ) THEN
[996]	750	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	751	IF ( c_u(k,j) < 0.0_wp ) THEN
	752	c_u(k,j) = 0.0_wp
[107]	753	ELSEIF ( c_u(k,j) > c_max ) THEN
	754	c_u(k,j) = c_max
[106]	755	ENDIF
	756	ELSE
[107]	757	c_u(k,j) = c_max
[75]	758	ENDIF
	759
[106]	760	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	761
[1353]	762	IF ( denom /= 0.0_wp ) THEN
[996]	763	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	764	IF ( c_v(k,j) < 0.0_wp ) THEN
	765	c_v(k,j) = 0.0_wp
[106]	766	ELSEIF ( c_v(k,j) > c_max ) THEN
	767	c_v(k,j) = c_max
	768	ENDIF
	769	ELSE
	770	c_v(k,j) = c_max
[75]	771	ENDIF
	772
[106]	773	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	774
[1353]	775	IF ( denom /= 0.0_wp ) THEN
[996]	776	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	777	IF ( c_w(k,j) < 0.0_wp ) THEN
	778	c_w(k,j) = 0.0_wp
[106]	779	ELSEIF ( c_w(k,j) > c_max ) THEN
	780	c_w(k,j) = c_max
	781	ENDIF
	782	ELSE
	783	c_w(k,j) = c_max
[75]	784	ENDIF
[106]	785
[978]	786	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	787	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	788	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	789
[978]	790	ENDDO
	791	ENDDO
[75]	792
[978]	793	#if defined( __parallel )
	794	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	795	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	796	MPI_SUM, comm1dy, ierr )
	797	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	798	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	799	MPI_SUM, comm1dy, ierr )
	800	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	801	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	802	MPI_SUM, comm1dy, ierr )
	803	#else
	804	c_u_m = c_u_m_l
	805	c_v_m = c_v_m_l
	806	c_w_m = c_w_m_l
	807	#endif
	808
	809	c_u_m = c_u_m / (ny+1)
	810	c_v_m = c_v_m / (ny+1)
	811	c_w_m = c_w_m / (ny+1)
	812
[73]	813	!
[978]	814	!-- Save old timelevels for the next timestep
	815	IF ( intermediate_timestep_count == 1 ) THEN
	816	u_m_l(:,:,:) = u(:,:,1:2)
	817	v_m_l(:,:,:) = v(:,:,0:1)
	818	w_m_l(:,:,:) = w(:,:,0:1)
	819	ENDIF
	820
	821	!
	822	!-- Calculate the new velocities
[996]	823	DO k = nzb+1, nzt+1
[1113]	824	DO j = nysg, nyng
[978]	825	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	826	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	827
[978]	828	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	829	( v(k,j,-1) - v(k,j,0) ) * ddx
	830
[978]	831	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	832	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	833	ENDDO
[75]	834	ENDDO
	835
	836	!
[978]	837	!-- Bottom boundary at the outflow
	838	IF ( ibc_uv_b == 0 ) THEN
[1353]	839	u_p(nzb,:,0) = 0.0_wp
	840	v_p(nzb,:,-1) = 0.0_wp
[978]	841	ELSE
	842	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	843	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	844	ENDIF
[1353]	845	w_p(nzb,:,-1) = 0.0_wp
[1]	846
[75]	847	!
[978]	848	!-- Top boundary at the outflow
	849	IF ( ibc_uv_t == 0 ) THEN
[1764]	850	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	851	v_p(nzt+1,:,-1) = v_init(nzt+1)
	852	ELSE
[1764]	853	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	854	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	855	ENDIF
[1353]	856	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	857
[75]	858	ENDIF
[73]	859
[75]	860	ENDIF
[73]	861
[106]	862	IF ( outflow_r ) THEN
[73]	863
[1159]	864	IF ( use_cmax ) THEN
	865	u_p(:,:,nx+1) = u(:,:,nx)
	866	v_p(:,:,nx+1) = v(:,:,nx)
	867	w_p(:,:,nx+1) = w(:,:,nx)
	868	ELSEIF ( .NOT. use_cmax ) THEN
[75]	869
[978]	870	c_max = dx / dt_3d
[75]	871
[1353]	872	c_u_m_l = 0.0_wp
	873	c_v_m_l = 0.0_wp
	874	c_w_m_l = 0.0_wp
[978]	875
[1353]	876	c_u_m = 0.0_wp
	877	c_v_m = 0.0_wp
	878	c_w_m = 0.0_wp
[978]	879
[1]	880	!
[996]	881	!-- Calculate the phase speeds for u, v, and w, first local and then
	882	!-- average along the outflow boundary.
	883	DO k = nzb+1, nzt+1
	884	DO j = nys, nyn
[73]	885
[106]	886	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	887
[1353]	888	IF ( denom /= 0.0_wp ) THEN
[996]	889	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	890	IF ( c_u(k,j) < 0.0_wp ) THEN
	891	c_u(k,j) = 0.0_wp
[106]	892	ELSEIF ( c_u(k,j) > c_max ) THEN
	893	c_u(k,j) = c_max
	894	ENDIF
	895	ELSE
	896	c_u(k,j) = c_max
[73]	897	ENDIF
	898
[106]	899	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	900
[1353]	901	IF ( denom /= 0.0_wp ) THEN
[996]	902	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	903	IF ( c_v(k,j) < 0.0_wp ) THEN
	904	c_v(k,j) = 0.0_wp
[106]	905	ELSEIF ( c_v(k,j) > c_max ) THEN
	906	c_v(k,j) = c_max
	907	ENDIF
	908	ELSE
	909	c_v(k,j) = c_max
[73]	910	ENDIF
	911
[106]	912	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	913
[1353]	914	IF ( denom /= 0.0_wp ) THEN
[996]	915	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	916	IF ( c_w(k,j) < 0.0_wp ) THEN
	917	c_w(k,j) = 0.0_wp
[106]	918	ELSEIF ( c_w(k,j) > c_max ) THEN
	919	c_w(k,j) = c_max
	920	ENDIF
	921	ELSE
	922	c_w(k,j) = c_max
[73]	923	ENDIF
[106]	924
[978]	925	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	926	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	927	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	928
[978]	929	ENDDO
	930	ENDDO
[73]	931
[978]	932	#if defined( __parallel )
	933	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	934	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	935	MPI_SUM, comm1dy, ierr )
	936	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	937	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	938	MPI_SUM, comm1dy, ierr )
	939	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	940	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	941	MPI_SUM, comm1dy, ierr )
	942	#else
	943	c_u_m = c_u_m_l
	944	c_v_m = c_v_m_l
	945	c_w_m = c_w_m_l
	946	#endif
	947
	948	c_u_m = c_u_m / (ny+1)
	949	c_v_m = c_v_m / (ny+1)
	950	c_w_m = c_w_m / (ny+1)
	951
[73]	952	!
[978]	953	!-- Save old timelevels for the next timestep
	954	IF ( intermediate_timestep_count == 1 ) THEN
	955	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	956	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	957	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	958	ENDIF
[73]	959
[978]	960	!
	961	!-- Calculate the new velocities
[996]	962	DO k = nzb+1, nzt+1
[1113]	963	DO j = nysg, nyng
[978]	964	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	965	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	966
[978]	967	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	968	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	969
[978]	970	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	971	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	972	ENDDO
[73]	973	ENDDO
	974
	975	!
[978]	976	!-- Bottom boundary at the outflow
	977	IF ( ibc_uv_b == 0 ) THEN
[1353]	978	u_p(nzb,:,nx+1) = 0.0_wp
	979	v_p(nzb,:,nx+1) = 0.0_wp
[978]	980	ELSE
	981	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	982	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	983	ENDIF
[1353]	984	w_p(nzb,:,nx+1) = 0.0_wp
[73]	985
	986	!
[978]	987	!-- Top boundary at the outflow
	988	IF ( ibc_uv_t == 0 ) THEN
	989	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	990	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	991	ELSE
	992	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	993	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	994	ENDIF
[1742]	995	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	996
[1]	997	ENDIF
	998
	999	ENDIF
	1000
	1001	END SUBROUTINE boundary_conds

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