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source: palm/trunk/SOURCE/boundary_conds.f90 @ 2118

Last change on this file since 2118 was 2118, checked in by raasch, 7 years ago
all OpenACC directives and related parts removed from the code
Property svn:keywords set to `Id`
File size: 32.9 KB

Rev	Line
[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	! -----------------
[2118]	22	! OpenACC directives removed
[1933]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 2118 2017-01-17 16:38:49Z raasch $
	27	!
[2001]	28	! 2000 2016-08-20 18:09:15Z knoop
	29	! Forced header and separation lines into 80 columns
	30	!
[1993]	31	! 1992 2016-08-12 15:14:59Z suehring
	32	! Adjustments for top boundary condition for passive scalar
	33	!
[1961]	34	! 1960 2016-07-12 16:34:24Z suehring
	35	! Treat humidity and passive scalar separately
	36	!
[1933]	37	! 1823 2016-04-07 08:57:52Z hoffmann
	38	! Initial version of purely vertical nesting introduced.
	39	!
[1823]	40	! 1822 2016-04-07 07:49:42Z hoffmann
	41	! icloud_scheme removed. microphyisics_seifert added.
	42	!
[1765]	43	! 1764 2016-02-28 12:45:19Z raasch
	44	! index bug for u_p at left outflow removed
	45	!
[1763]	46	! 1762 2016-02-25 12:31:13Z hellstea
	47	! Introduction of nested domain feature
	48	!
[1744]	49	! 1742 2016-01-13 09:50:06Z raasch
	50	! bugfix for outflow Neumann boundary conditions at bottom and top
	51	!
[1718]	52	! 1717 2015-11-11 15:09:47Z raasch
	53	! Bugfix: index error in outflow conditions for left boundary
	54	!
[1683]	55	! 1682 2015-10-07 23:56:08Z knoop
	56	! Code annotations made doxygen readable
	57	!
[1717]	58	! 1410 2014-05-23 12:16:18Z suehring
[1463]	59	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	60	! top
	61	!
[1410]	62	! 1399 2014-05-07 11:16:25Z heinze
	63	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	64	! is used.
	65	!
[1399]	66	! 1398 2014-05-07 11:15:00Z heinze
	67	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	68	! for large_scale_forcing
	69	!
[1381]	70	! 1380 2014-04-28 12:40:45Z heinze
	71	! Adjust Dirichlet-condition at the top for pt in case of nudging
	72	!
[1362]	73	! 1361 2014-04-16 15:17:48Z hoffmann
	74	! Bottom and top boundary conditions of rain water content (qr) and
	75	! rain drop concentration (nr) changed to Dirichlet
	76	!
[1354]	77	! 1353 2014-04-08 15:21:23Z heinze
	78	! REAL constants provided with KIND-attribute
	79	!
[1321]	80	! 1320 2014-03-20 08:40:49Z raasch
[1320]	81	! ONLY-attribute added to USE-statements,
	82	! kind-parameters added to all INTEGER and REAL declaration statements,
	83	! kinds are defined in new module kinds,
	84	! revision history before 2012 removed,
	85	! comment fields (!:) to be used for variable explanations added to
	86	! all variable declaration statements
[1160]	87	!
[1258]	88	! 1257 2013-11-08 15:18:40Z raasch
	89	! loop independent clauses added
	90	!
[1242]	91	! 1241 2013-10-30 11:36:58Z heinze
	92	! Adjust ug and vg at each timestep in case of large_scale_forcing
	93	!
[1160]	94	! 1159 2013-05-21 11:58:22Z fricke
[1159]	95	! Bugfix: Neumann boundary conditions for the velocity components at the
	96	! outflow are in fact radiation boundary conditions using the maximum phase
	97	! velocity that ensures numerical stability (CFL-condition).
	98	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	99	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	100	! u_p, v_p, w_p
[1116]	101	!
	102	! 1115 2013-03-26 18:16:16Z hoffmann
	103	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	104	! boundary-conditions
	105	!
[1114]	106	! 1113 2013-03-10 02:48:14Z raasch
	107	! GPU-porting
	108	! dummy argument "range" removed
	109	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	110	!
[1054]	111	! 1053 2012-11-13 17:11:03Z hoffmann
	112	! boundary conditions for the two new prognostic equations (nr, qr) of the
	113	! two-moment cloud scheme
	114	!
[1037]	115	! 1036 2012-10-22 13:43:42Z raasch
	116	! code put under GPL (PALM 3.9)
	117	!
[997]	118	! 996 2012-09-07 10:41:47Z raasch
	119	! little reformatting
	120	!
[979]	121	! 978 2012-08-09 08:28:32Z fricke
	122	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	123	! Outflow boundary conditions for the velocity components can be set to Neumann
	124	! conditions or to radiation conditions with a horizontal averaged phase
	125	! velocity.
	126	!
[876]	127	! 875 2012-04-02 15:35:15Z gryschka
	128	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	129	!
[1]	130	! Revision 1.1 1997/09/12 06:21:34 raasch
	131	! Initial revision
	132	!
	133	!
	134	! Description:
	135	! ------------
[1682]	136	!> Boundary conditions for the prognostic quantities.
	137	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	138	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	139	!> handled in routine exchange_horiz. Pressure boundary conditions are
	140	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	141	!------------------------------------------------------------------------------!
[1682]	142	SUBROUTINE boundary_conds
	143
[1]	144
[1320]	145	USE arrays_3d, &
	146	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]	147	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, s, s_p, sa, sa_p, &
[1320]	148	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
	149	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[1960]	150	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
[1320]	151
	152	USE control_parameters, &
[1960]	153	ONLY: bc_pt_t_val, bc_q_t_val, bc_s_t_val, constant_diffusion, &
[1320]	154	cloud_physics, dt_3d, humidity, &
[1960]	155	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
	156	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
	157	inflow_s, intermediate_timestep_count, large_scale_forcing, &
[1822]	158	microphysics_seifert, nest_domain, nest_bound_l, nest_bound_s, &
	159	nudging, ocean, outflow_l, outflow_n, outflow_r, outflow_s, &
	160	passive_scalar, tsc, use_cmax
[1320]	161
	162	USE grid_variables, &
	163	ONLY: ddx, ddy, dx, dy
	164
	165	USE indices, &
	166	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
	167	nzb, nzb_s_inner, nzb_w_inner, nzt
	168
	169	USE kinds
	170
[1]	171	USE pegrid
	172
[1933]	173	USE pmc_interface, &
	174	ONLY : nesting_mode
[1320]	175
[1933]	176
[1]	177	IMPLICIT NONE
	178
[1682]	179	INTEGER(iwp) :: i !<
	180	INTEGER(iwp) :: j !<
	181	INTEGER(iwp) :: k !<
[1]	182
[1682]	183	REAL(wp) :: c_max !<
	184	REAL(wp) :: denom !<
[1]	185
[73]	186
[1]	187	!
[1113]	188	!-- Bottom boundary
	189	IF ( ibc_uv_b == 1 ) THEN
	190	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	191	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	192	ENDIF
	193
	194	DO i = nxlg, nxrg
	195	DO j = nysg, nyng
[1353]	196	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
[1113]	197	ENDDO
	198	ENDDO
	199
	200	!
[1762]	201	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	202	IF ( ibc_uv_t == 0 ) THEN
	203	u_p(nzt+1,:,:) = u_init(nzt+1)
	204	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	205	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	206	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	207	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	208	ENDIF
	209
[1762]	210	IF ( .NOT. nest_domain ) THEN
	211	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
	212	ENDIF
	213
[1113]	214	!
	215	!-- Temperature at bottom boundary.
	216	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	217	!-- the sea surface temperature of the coupled ocean model.
	218	IF ( ibc_pt_b == 0 ) THEN
[667]	219	DO i = nxlg, nxrg
	220	DO j = nysg, nyng
[1113]	221	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
[1]	222	ENDDO
	223	ENDDO
[1113]	224	ELSEIF ( ibc_pt_b == 1 ) THEN
	225	DO i = nxlg, nxrg
	226	DO j = nysg, nyng
	227	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
	228	ENDDO
	229	ENDDO
	230	ENDIF
[1]	231
	232	!
[1113]	233	!-- Temperature at top boundary
	234	IF ( ibc_pt_t == 0 ) THEN
	235	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	236	!
	237	!-- In case of nudging adjust top boundary to pt which is
	238	!-- read in from NUDGING-DATA
	239	IF ( nudging ) THEN
	240	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	241	ENDIF
[1113]	242	ELSEIF ( ibc_pt_t == 1 ) THEN
	243	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	244	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	245	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	246	ENDIF
[1]	247
	248	!
[1113]	249	!-- Boundary conditions for TKE
	250	!-- Generally Neumann conditions with de/dz=0 are assumed
	251	IF ( .NOT. constant_diffusion ) THEN
	252	DO i = nxlg, nxrg
	253	DO j = nysg, nyng
	254	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
[73]	255	ENDDO
[1113]	256	ENDDO
[1762]	257	IF ( .NOT. nest_domain ) THEN
	258	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	259	ENDIF
[1113]	260	ENDIF
	261
	262	!
	263	!-- Boundary conditions for salinity
	264	IF ( ocean ) THEN
	265	!
	266	!-- Bottom boundary: Neumann condition because salinity flux is always
	267	!-- given
	268	DO i = nxlg, nxrg
	269	DO j = nysg, nyng
	270	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
[1]	271	ENDDO
[1113]	272	ENDDO
[1]	273
	274	!
[1113]	275	!-- Top boundary: Dirichlet or Neumann
	276	IF ( ibc_sa_t == 0 ) THEN
	277	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	278	ELSEIF ( ibc_sa_t == 1 ) THEN
	279	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	280	ENDIF
	281
[1113]	282	ENDIF
	283
[1]	284	!
[1960]	285	!-- Boundary conditions for total water content,
[1113]	286	!-- bottom and top boundary (see also temperature)
[1960]	287	IF ( humidity ) THEN
[1113]	288	!
	289	!-- Surface conditions for constant_humidity_flux
	290	IF ( ibc_q_b == 0 ) THEN
[667]	291	DO i = nxlg, nxrg
	292	DO j = nysg, nyng
[1113]	293	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
[1]	294	ENDDO
	295	ENDDO
[1113]	296	ELSE
[667]	297	DO i = nxlg, nxrg
	298	DO j = nysg, nyng
[1113]	299	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
[95]	300	ENDDO
	301	ENDDO
[1113]	302	ENDIF
[95]	303	!
[1113]	304	!-- Top boundary
[1462]	305	IF ( ibc_q_t == 0 ) THEN
	306	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	307	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	308	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	309	ENDIF
[95]	310
[1822]	311	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1113]	312	!
[1361]	313	!-- Surface conditions rain water (Dirichlet)
[1115]	314	DO i = nxlg, nxrg
	315	DO j = nysg, nyng
[1361]	316	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
	317	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
[73]	318	ENDDO
[1115]	319	ENDDO
[1]	320	!
[1361]	321	!-- Top boundary condition for rain water (Dirichlet)
	322	qr_p(nzt+1,:,:) = 0.0_wp
	323	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	324
[1]	325	ENDIF
[1409]	326	ENDIF
[1]	327	!
[1960]	328	!-- Boundary conditions for scalar,
	329	!-- bottom and top boundary (see also temperature)
	330	IF ( passive_scalar ) THEN
	331	!
	332	!-- Surface conditions for constant_humidity_flux
	333	IF ( ibc_s_b == 0 ) THEN
	334	DO i = nxlg, nxrg
	335	DO j = nysg, nyng
	336	s_p(nzb_s_inner(j,i),j,i) = s(nzb_s_inner(j,i),j,i)
	337	ENDDO
	338	ENDDO
	339	ELSE
	340	DO i = nxlg, nxrg
	341	DO j = nysg, nyng
	342	s_p(nzb_s_inner(j,i),j,i) = s_p(nzb_s_inner(j,i)+1,j,i)
	343	ENDDO
	344	ENDDO
	345	ENDIF
	346	!
[1992]	347	!-- Top boundary condition
	348	IF ( ibc_s_t == 0 ) THEN
[1960]	349	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	350	ELSEIF ( ibc_s_t == 1 ) THEN
	351	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	352	ELSEIF ( ibc_s_t == 2 ) THEN
	353	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	354	ENDIF
	355
	356	ENDIF
	357	!
[1762]	358	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	359	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	360	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	361	!-- version) these levels are handled as a prognostic level, boundary values
	362	!-- have to be restored here.
[1409]	363	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	364	IF ( inflow_s ) THEN
	365	v_p(:,nys,:) = v_p(:,nys-1,:)
	366	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	367	ELSEIF ( inflow_n ) THEN
	368	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	369	ELSEIF ( inflow_l ) THEN
	370	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	371	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	372	ELSEIF ( inflow_r ) THEN
	373	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	374	ENDIF
[1]	375
	376	!
[1762]	377	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	378	!-- in case of nest boundaries. This must not be done in case of vertical nesting
	379	!-- mode as in that case the lateral boundaries are actually cyclic.
	380	IF ( nesting_mode /= 'vertical' ) THEN
	381	IF ( nest_bound_s ) THEN
	382	v_p(:,nys,:) = v_p(:,nys-1,:)
	383	ENDIF
	384	IF ( nest_bound_l ) THEN
	385	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	386	ENDIF
[1762]	387	ENDIF
	388
	389	!
[1409]	390	!-- Lateral boundary conditions for scalar quantities at the outflow
	391	IF ( outflow_s ) THEN
	392	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	393	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[1960]	394	IF ( humidity ) THEN
[1409]	395	q_p(:,nys-1,:) = q_p(:,nys,:)
[1822]	396	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	397	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	398	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	399	ENDIF
[1409]	400	ENDIF
[1960]	401	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[1409]	402	ELSEIF ( outflow_n ) THEN
	403	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	404	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1960]	405	IF ( humidity ) THEN
[1409]	406	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[1822]	407	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	408	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	409	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	410	ENDIF
[1409]	411	ENDIF
[1960]	412	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[1409]	413	ELSEIF ( outflow_l ) THEN
	414	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	415	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[1960]	416	IF ( humidity ) THEN
[1409]	417	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[1822]	418	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	419	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	420	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	421	ENDIF
[1409]	422	ENDIF
[1960]	423	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[1409]	424	ELSEIF ( outflow_r ) THEN
	425	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	426	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1960]	427	IF ( humidity ) THEN
[1409]	428	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[1822]	429	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	430	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	431	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	432	ENDIF
[1]	433	ENDIF
[1960]	434	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	435	ENDIF
	436
	437	!
[1159]	438	!-- Radiation boundary conditions for the velocities at the respective outflow.
	439	!-- The phase velocity is either assumed to the maximum phase velocity that
	440	!-- ensures numerical stability (CFL-condition) or calculated after
	441	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	442	IF ( outflow_s ) THEN
[75]	443
[1159]	444	IF ( use_cmax ) THEN
	445	u_p(:,-1,:) = u(:,0,:)
	446	v_p(:,0,:) = v(:,1,:)
	447	w_p(:,-1,:) = w(:,0,:)
	448	ELSEIF ( .NOT. use_cmax ) THEN
[75]	449
[978]	450	c_max = dy / dt_3d
[75]	451
[1353]	452	c_u_m_l = 0.0_wp
	453	c_v_m_l = 0.0_wp
	454	c_w_m_l = 0.0_wp
[978]	455
[1353]	456	c_u_m = 0.0_wp
	457	c_v_m = 0.0_wp
	458	c_w_m = 0.0_wp
[978]	459
[75]	460	!
[996]	461	!-- Calculate the phase speeds for u, v, and w, first local and then
	462	!-- average along the outflow boundary.
	463	DO k = nzb+1, nzt+1
	464	DO i = nxl, nxr
[75]	465
[106]	466	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	467
[1353]	468	IF ( denom /= 0.0_wp ) THEN
[996]	469	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	470	IF ( c_u(k,i) < 0.0_wp ) THEN
	471	c_u(k,i) = 0.0_wp
[106]	472	ELSEIF ( c_u(k,i) > c_max ) THEN
	473	c_u(k,i) = c_max
	474	ENDIF
	475	ELSE
	476	c_u(k,i) = c_max
[75]	477	ENDIF
	478
[106]	479	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	480
[1353]	481	IF ( denom /= 0.0_wp ) THEN
[996]	482	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	483	IF ( c_v(k,i) < 0.0_wp ) THEN
	484	c_v(k,i) = 0.0_wp
[106]	485	ELSEIF ( c_v(k,i) > c_max ) THEN
	486	c_v(k,i) = c_max
	487	ENDIF
	488	ELSE
	489	c_v(k,i) = c_max
[75]	490	ENDIF
	491
[106]	492	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	493
[1353]	494	IF ( denom /= 0.0_wp ) THEN
[996]	495	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	496	IF ( c_w(k,i) < 0.0_wp ) THEN
	497	c_w(k,i) = 0.0_wp
[106]	498	ELSEIF ( c_w(k,i) > c_max ) THEN
	499	c_w(k,i) = c_max
	500	ENDIF
	501	ELSE
	502	c_w(k,i) = c_max
[75]	503	ENDIF
[106]	504
[978]	505	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	506	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	507	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	508
[978]	509	ENDDO
	510	ENDDO
[75]	511
[978]	512	#if defined( __parallel )
	513	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	514	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	515	MPI_SUM, comm1dx, ierr )
	516	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	517	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	521	MPI_SUM, comm1dx, ierr )
	522	#else
	523	c_u_m = c_u_m_l
	524	c_v_m = c_v_m_l
	525	c_w_m = c_w_m_l
	526	#endif
	527
	528	c_u_m = c_u_m / (nx+1)
	529	c_v_m = c_v_m / (nx+1)
	530	c_w_m = c_w_m / (nx+1)
	531
[75]	532	!
[978]	533	!-- Save old timelevels for the next timestep
	534	IF ( intermediate_timestep_count == 1 ) THEN
	535	u_m_s(:,:,:) = u(:,0:1,:)
	536	v_m_s(:,:,:) = v(:,1:2,:)
	537	w_m_s(:,:,:) = w(:,0:1,:)
	538	ENDIF
	539
	540	!
	541	!-- Calculate the new velocities
[996]	542	DO k = nzb+1, nzt+1
	543	DO i = nxlg, nxrg
[978]	544	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	545	( u(k,-1,i) - u(k,0,i) ) * ddy
	546
[978]	547	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	548	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	549
[978]	550	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	551	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	552	ENDDO
[75]	553	ENDDO
	554
	555	!
[978]	556	!-- Bottom boundary at the outflow
	557	IF ( ibc_uv_b == 0 ) THEN
[1353]	558	u_p(nzb,-1,:) = 0.0_wp
	559	v_p(nzb,0,:) = 0.0_wp
[978]	560	ELSE
	561	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	562	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	563	ENDIF
[1353]	564	w_p(nzb,-1,:) = 0.0_wp
[73]	565
[75]	566	!
[978]	567	!-- Top boundary at the outflow
	568	IF ( ibc_uv_t == 0 ) THEN
	569	u_p(nzt+1,-1,:) = u_init(nzt+1)
	570	v_p(nzt+1,0,:) = v_init(nzt+1)
	571	ELSE
[1742]	572	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	573	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	574	ENDIF
[1353]	575	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	576
[75]	577	ENDIF
[73]	578
[75]	579	ENDIF
[73]	580
[106]	581	IF ( outflow_n ) THEN
[73]	582
[1159]	583	IF ( use_cmax ) THEN
	584	u_p(:,ny+1,:) = u(:,ny,:)
	585	v_p(:,ny+1,:) = v(:,ny,:)
	586	w_p(:,ny+1,:) = w(:,ny,:)
	587	ELSEIF ( .NOT. use_cmax ) THEN
[75]	588
[978]	589	c_max = dy / dt_3d
[75]	590
[1353]	591	c_u_m_l = 0.0_wp
	592	c_v_m_l = 0.0_wp
	593	c_w_m_l = 0.0_wp
[978]	594
[1353]	595	c_u_m = 0.0_wp
	596	c_v_m = 0.0_wp
	597	c_w_m = 0.0_wp
[978]	598
[1]	599	!
[996]	600	!-- Calculate the phase speeds for u, v, and w, first local and then
	601	!-- average along the outflow boundary.
	602	DO k = nzb+1, nzt+1
	603	DO i = nxl, nxr
[73]	604
[106]	605	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	606
[1353]	607	IF ( denom /= 0.0_wp ) THEN
[996]	608	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	609	IF ( c_u(k,i) < 0.0_wp ) THEN
	610	c_u(k,i) = 0.0_wp
[106]	611	ELSEIF ( c_u(k,i) > c_max ) THEN
	612	c_u(k,i) = c_max
	613	ENDIF
	614	ELSE
	615	c_u(k,i) = c_max
[73]	616	ENDIF
	617
[106]	618	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	619
[1353]	620	IF ( denom /= 0.0_wp ) THEN
[996]	621	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	622	IF ( c_v(k,i) < 0.0_wp ) THEN
	623	c_v(k,i) = 0.0_wp
[106]	624	ELSEIF ( c_v(k,i) > c_max ) THEN
	625	c_v(k,i) = c_max
	626	ENDIF
	627	ELSE
	628	c_v(k,i) = c_max
[73]	629	ENDIF
	630
[106]	631	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	632
[1353]	633	IF ( denom /= 0.0_wp ) THEN
[996]	634	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	635	IF ( c_w(k,i) < 0.0_wp ) THEN
	636	c_w(k,i) = 0.0_wp
[106]	637	ELSEIF ( c_w(k,i) > c_max ) THEN
	638	c_w(k,i) = c_max
	639	ENDIF
	640	ELSE
	641	c_w(k,i) = c_max
[73]	642	ENDIF
[106]	643
[978]	644	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	645	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	646	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	647
[978]	648	ENDDO
	649	ENDDO
[73]	650
[978]	651	#if defined( __parallel )
	652	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	653	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	654	MPI_SUM, comm1dx, ierr )
	655	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	656	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	660	MPI_SUM, comm1dx, ierr )
	661	#else
	662	c_u_m = c_u_m_l
	663	c_v_m = c_v_m_l
	664	c_w_m = c_w_m_l
	665	#endif
	666
	667	c_u_m = c_u_m / (nx+1)
	668	c_v_m = c_v_m / (nx+1)
	669	c_w_m = c_w_m / (nx+1)
	670
[73]	671	!
[978]	672	!-- Save old timelevels for the next timestep
	673	IF ( intermediate_timestep_count == 1 ) THEN
	674	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	675	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	676	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	677	ENDIF
[73]	678
[978]	679	!
	680	!-- Calculate the new velocities
[996]	681	DO k = nzb+1, nzt+1
	682	DO i = nxlg, nxrg
[978]	683	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	684	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	685
[978]	686	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	687	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	688
[978]	689	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	690	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	691	ENDDO
[1]	692	ENDDO
	693
	694	!
[978]	695	!-- Bottom boundary at the outflow
	696	IF ( ibc_uv_b == 0 ) THEN
[1353]	697	u_p(nzb,ny+1,:) = 0.0_wp
	698	v_p(nzb,ny+1,:) = 0.0_wp
[978]	699	ELSE
	700	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	701	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	702	ENDIF
[1353]	703	w_p(nzb,ny+1,:) = 0.0_wp
[73]	704
	705	!
[978]	706	!-- Top boundary at the outflow
	707	IF ( ibc_uv_t == 0 ) THEN
	708	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	709	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	710	ELSE
	711	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	712	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	713	ENDIF
[1353]	714	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	715
[1]	716	ENDIF
	717
[75]	718	ENDIF
	719
[106]	720	IF ( outflow_l ) THEN
[75]	721
[1159]	722	IF ( use_cmax ) THEN
[1717]	723	u_p(:,:,0) = u(:,:,1)
	724	v_p(:,:,-1) = v(:,:,0)
[1159]	725	w_p(:,:,-1) = w(:,:,0)
	726	ELSEIF ( .NOT. use_cmax ) THEN
[75]	727
[978]	728	c_max = dx / dt_3d
[75]	729
[1353]	730	c_u_m_l = 0.0_wp
	731	c_v_m_l = 0.0_wp
	732	c_w_m_l = 0.0_wp
[978]	733
[1353]	734	c_u_m = 0.0_wp
	735	c_v_m = 0.0_wp
	736	c_w_m = 0.0_wp
[978]	737
[1]	738	!
[996]	739	!-- Calculate the phase speeds for u, v, and w, first local and then
	740	!-- average along the outflow boundary.
	741	DO k = nzb+1, nzt+1
	742	DO j = nys, nyn
[75]	743
[106]	744	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	745
[1353]	746	IF ( denom /= 0.0_wp ) THEN
[996]	747	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	748	IF ( c_u(k,j) < 0.0_wp ) THEN
	749	c_u(k,j) = 0.0_wp
[107]	750	ELSEIF ( c_u(k,j) > c_max ) THEN
	751	c_u(k,j) = c_max
[106]	752	ENDIF
	753	ELSE
[107]	754	c_u(k,j) = c_max
[75]	755	ENDIF
	756
[106]	757	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	758
[1353]	759	IF ( denom /= 0.0_wp ) THEN
[996]	760	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	761	IF ( c_v(k,j) < 0.0_wp ) THEN
	762	c_v(k,j) = 0.0_wp
[106]	763	ELSEIF ( c_v(k,j) > c_max ) THEN
	764	c_v(k,j) = c_max
	765	ENDIF
	766	ELSE
	767	c_v(k,j) = c_max
[75]	768	ENDIF
	769
[106]	770	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	771
[1353]	772	IF ( denom /= 0.0_wp ) THEN
[996]	773	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	774	IF ( c_w(k,j) < 0.0_wp ) THEN
	775	c_w(k,j) = 0.0_wp
[106]	776	ELSEIF ( c_w(k,j) > c_max ) THEN
	777	c_w(k,j) = c_max
	778	ENDIF
	779	ELSE
	780	c_w(k,j) = c_max
[75]	781	ENDIF
[106]	782
[978]	783	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	784	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	785	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	786
[978]	787	ENDDO
	788	ENDDO
[75]	789
[978]	790	#if defined( __parallel )
	791	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	792	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	793	MPI_SUM, comm1dy, ierr )
	794	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	795	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	799	MPI_SUM, comm1dy, ierr )
	800	#else
	801	c_u_m = c_u_m_l
	802	c_v_m = c_v_m_l
	803	c_w_m = c_w_m_l
	804	#endif
	805
	806	c_u_m = c_u_m / (ny+1)
	807	c_v_m = c_v_m / (ny+1)
	808	c_w_m = c_w_m / (ny+1)
	809
[73]	810	!
[978]	811	!-- Save old timelevels for the next timestep
	812	IF ( intermediate_timestep_count == 1 ) THEN
	813	u_m_l(:,:,:) = u(:,:,1:2)
	814	v_m_l(:,:,:) = v(:,:,0:1)
	815	w_m_l(:,:,:) = w(:,:,0:1)
	816	ENDIF
	817
	818	!
	819	!-- Calculate the new velocities
[996]	820	DO k = nzb+1, nzt+1
[1113]	821	DO j = nysg, nyng
[978]	822	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	823	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	824
[978]	825	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	826	( v(k,j,-1) - v(k,j,0) ) * ddx
	827
[978]	828	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	829	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	830	ENDDO
[75]	831	ENDDO
	832
	833	!
[978]	834	!-- Bottom boundary at the outflow
	835	IF ( ibc_uv_b == 0 ) THEN
[1353]	836	u_p(nzb,:,0) = 0.0_wp
	837	v_p(nzb,:,-1) = 0.0_wp
[978]	838	ELSE
	839	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	840	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	841	ENDIF
[1353]	842	w_p(nzb,:,-1) = 0.0_wp
[1]	843
[75]	844	!
[978]	845	!-- Top boundary at the outflow
	846	IF ( ibc_uv_t == 0 ) THEN
[1764]	847	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	848	v_p(nzt+1,:,-1) = v_init(nzt+1)
	849	ELSE
[1764]	850	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	851	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	852	ENDIF
[1353]	853	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	854
[75]	855	ENDIF
[73]	856
[75]	857	ENDIF
[73]	858
[106]	859	IF ( outflow_r ) THEN
[73]	860
[1159]	861	IF ( use_cmax ) THEN
	862	u_p(:,:,nx+1) = u(:,:,nx)
	863	v_p(:,:,nx+1) = v(:,:,nx)
	864	w_p(:,:,nx+1) = w(:,:,nx)
	865	ELSEIF ( .NOT. use_cmax ) THEN
[75]	866
[978]	867	c_max = dx / dt_3d
[75]	868
[1353]	869	c_u_m_l = 0.0_wp
	870	c_v_m_l = 0.0_wp
	871	c_w_m_l = 0.0_wp
[978]	872
[1353]	873	c_u_m = 0.0_wp
	874	c_v_m = 0.0_wp
	875	c_w_m = 0.0_wp
[978]	876
[1]	877	!
[996]	878	!-- Calculate the phase speeds for u, v, and w, first local and then
	879	!-- average along the outflow boundary.
	880	DO k = nzb+1, nzt+1
	881	DO j = nys, nyn
[73]	882
[106]	883	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	884
[1353]	885	IF ( denom /= 0.0_wp ) THEN
[996]	886	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	887	IF ( c_u(k,j) < 0.0_wp ) THEN
	888	c_u(k,j) = 0.0_wp
[106]	889	ELSEIF ( c_u(k,j) > c_max ) THEN
	890	c_u(k,j) = c_max
	891	ENDIF
	892	ELSE
	893	c_u(k,j) = c_max
[73]	894	ENDIF
	895
[106]	896	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	897
[1353]	898	IF ( denom /= 0.0_wp ) THEN
[996]	899	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	900	IF ( c_v(k,j) < 0.0_wp ) THEN
	901	c_v(k,j) = 0.0_wp
[106]	902	ELSEIF ( c_v(k,j) > c_max ) THEN
	903	c_v(k,j) = c_max
	904	ENDIF
	905	ELSE
	906	c_v(k,j) = c_max
[73]	907	ENDIF
	908
[106]	909	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	910
[1353]	911	IF ( denom /= 0.0_wp ) THEN
[996]	912	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	913	IF ( c_w(k,j) < 0.0_wp ) THEN
	914	c_w(k,j) = 0.0_wp
[106]	915	ELSEIF ( c_w(k,j) > c_max ) THEN
	916	c_w(k,j) = c_max
	917	ENDIF
	918	ELSE
	919	c_w(k,j) = c_max
[73]	920	ENDIF
[106]	921
[978]	922	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	923	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	924	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	925
[978]	926	ENDDO
	927	ENDDO
[73]	928
[978]	929	#if defined( __parallel )
	930	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	931	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	932	MPI_SUM, comm1dy, ierr )
	933	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	934	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_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_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	938	MPI_SUM, comm1dy, ierr )
	939	#else
	940	c_u_m = c_u_m_l
	941	c_v_m = c_v_m_l
	942	c_w_m = c_w_m_l
	943	#endif
	944
	945	c_u_m = c_u_m / (ny+1)
	946	c_v_m = c_v_m / (ny+1)
	947	c_w_m = c_w_m / (ny+1)
	948
[73]	949	!
[978]	950	!-- Save old timelevels for the next timestep
	951	IF ( intermediate_timestep_count == 1 ) THEN
	952	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	953	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	954	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	955	ENDIF
[73]	956
[978]	957	!
	958	!-- Calculate the new velocities
[996]	959	DO k = nzb+1, nzt+1
[1113]	960	DO j = nysg, nyng
[978]	961	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	962	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	963
[978]	964	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	965	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	966
[978]	967	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	968	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	969	ENDDO
[73]	970	ENDDO
	971
	972	!
[978]	973	!-- Bottom boundary at the outflow
	974	IF ( ibc_uv_b == 0 ) THEN
[1353]	975	u_p(nzb,:,nx+1) = 0.0_wp
	976	v_p(nzb,:,nx+1) = 0.0_wp
[978]	977	ELSE
	978	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	979	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	980	ENDIF
[1353]	981	w_p(nzb,:,nx+1) = 0.0_wp
[73]	982
	983	!
[978]	984	!-- Top boundary at the outflow
	985	IF ( ibc_uv_t == 0 ) THEN
	986	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	987	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	988	ELSE
	989	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	990	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	991	ENDIF
[1742]	992	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	993
[1]	994	ENDIF
	995
	996	ENDIF
	997
	998	END SUBROUTINE boundary_conds

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