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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1963

Last change on this file since 1963 was 1961, checked in by suehring, 8 years ago
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[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	! -----------------
[1933]	21	!
[1961]	22	!
[1321]	23	! Former revisions:
	24	! -----------------
	25	! $Id: boundary_conds.f90 1961 2016-07-12 16:37:58Z 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	!$acc kernels present( dzu, pt_p )
	261	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
	262	!$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
	329	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
	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	!
	368	!-- Top boundary
	369	IF ( ibc_s_t == 0 ) THEN
	370	s_p(nzt+1,:,:) = s(nzt+1,:,:)
	371	ELSEIF ( ibc_s_t == 1 ) THEN
	372	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
	373	ENDIF
	374
	375	ENDIF
	376	!
[1762]	377	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	378	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	379	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	380	!-- version) these levels are handled as a prognostic level, boundary values
	381	!-- have to be restored here.
[1409]	382	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	383	IF ( inflow_s ) THEN
	384	v_p(:,nys,:) = v_p(:,nys-1,:)
	385	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	386	ELSEIF ( inflow_n ) THEN
	387	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	388	ELSEIF ( inflow_l ) THEN
	389	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	390	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	391	ELSEIF ( inflow_r ) THEN
	392	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	393	ENDIF
[1]	394
	395	!
[1762]	396	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	397	!-- in case of nest boundaries. This must not be done in case of vertical nesting
	398	!-- mode as in that case the lateral boundaries are actually cyclic.
	399	IF ( nesting_mode /= 'vertical' ) THEN
	400	IF ( nest_bound_s ) THEN
	401	v_p(:,nys,:) = v_p(:,nys-1,:)
	402	ENDIF
	403	IF ( nest_bound_l ) THEN
	404	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	405	ENDIF
[1762]	406	ENDIF
	407
	408	!
[1409]	409	!-- Lateral boundary conditions for scalar quantities at the outflow
	410	IF ( outflow_s ) THEN
	411	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	412	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[1960]	413	IF ( humidity ) THEN
[1409]	414	q_p(:,nys-1,:) = q_p(:,nys,:)
[1822]	415	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	416	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	417	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	418	ENDIF
[1409]	419	ENDIF
[1960]	420	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[1409]	421	ELSEIF ( outflow_n ) THEN
	422	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	423	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1960]	424	IF ( humidity ) THEN
[1409]	425	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[1822]	426	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	427	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	428	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	429	ENDIF
[1409]	430	ENDIF
[1960]	431	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[1409]	432	ELSEIF ( outflow_l ) THEN
	433	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	434	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[1960]	435	IF ( humidity ) THEN
[1409]	436	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[1822]	437	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	438	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	439	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	440	ENDIF
[1409]	441	ENDIF
[1960]	442	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[1409]	443	ELSEIF ( outflow_r ) THEN
	444	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	445	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1960]	446	IF ( humidity ) THEN
[1409]	447	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[1822]	448	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	449	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	450	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	451	ENDIF
[1]	452	ENDIF
[1960]	453	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	454	ENDIF
	455
	456	!
[1159]	457	!-- Radiation boundary conditions for the velocities at the respective outflow.
	458	!-- The phase velocity is either assumed to the maximum phase velocity that
	459	!-- ensures numerical stability (CFL-condition) or calculated after
	460	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	461	IF ( outflow_s ) THEN
[75]	462
[1159]	463	IF ( use_cmax ) THEN
	464	u_p(:,-1,:) = u(:,0,:)
	465	v_p(:,0,:) = v(:,1,:)
	466	w_p(:,-1,:) = w(:,0,:)
	467	ELSEIF ( .NOT. use_cmax ) THEN
[75]	468
[978]	469	c_max = dy / dt_3d
[75]	470
[1353]	471	c_u_m_l = 0.0_wp
	472	c_v_m_l = 0.0_wp
	473	c_w_m_l = 0.0_wp
[978]	474
[1353]	475	c_u_m = 0.0_wp
	476	c_v_m = 0.0_wp
	477	c_w_m = 0.0_wp
[978]	478
[75]	479	!
[996]	480	!-- Calculate the phase speeds for u, v, and w, first local and then
	481	!-- average along the outflow boundary.
	482	DO k = nzb+1, nzt+1
	483	DO i = nxl, nxr
[75]	484
[106]	485	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	486
[1353]	487	IF ( denom /= 0.0_wp ) THEN
[996]	488	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	489	IF ( c_u(k,i) < 0.0_wp ) THEN
	490	c_u(k,i) = 0.0_wp
[106]	491	ELSEIF ( c_u(k,i) > c_max ) THEN
	492	c_u(k,i) = c_max
	493	ENDIF
	494	ELSE
	495	c_u(k,i) = c_max
[75]	496	ENDIF
	497
[106]	498	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	499
[1353]	500	IF ( denom /= 0.0_wp ) THEN
[996]	501	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	502	IF ( c_v(k,i) < 0.0_wp ) THEN
	503	c_v(k,i) = 0.0_wp
[106]	504	ELSEIF ( c_v(k,i) > c_max ) THEN
	505	c_v(k,i) = c_max
	506	ENDIF
	507	ELSE
	508	c_v(k,i) = c_max
[75]	509	ENDIF
	510
[106]	511	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	512
[1353]	513	IF ( denom /= 0.0_wp ) THEN
[996]	514	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	515	IF ( c_w(k,i) < 0.0_wp ) THEN
	516	c_w(k,i) = 0.0_wp
[106]	517	ELSEIF ( c_w(k,i) > c_max ) THEN
	518	c_w(k,i) = c_max
	519	ENDIF
	520	ELSE
	521	c_w(k,i) = c_max
[75]	522	ENDIF
[106]	523
[978]	524	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	525	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	526	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	527
[978]	528	ENDDO
	529	ENDDO
[75]	530
[978]	531	#if defined( __parallel )
	532	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	533	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	534	MPI_SUM, comm1dx, ierr )
	535	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	536	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	537	MPI_SUM, comm1dx, ierr )
	538	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	539	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	540	MPI_SUM, comm1dx, ierr )
	541	#else
	542	c_u_m = c_u_m_l
	543	c_v_m = c_v_m_l
	544	c_w_m = c_w_m_l
	545	#endif
	546
	547	c_u_m = c_u_m / (nx+1)
	548	c_v_m = c_v_m / (nx+1)
	549	c_w_m = c_w_m / (nx+1)
	550
[75]	551	!
[978]	552	!-- Save old timelevels for the next timestep
	553	IF ( intermediate_timestep_count == 1 ) THEN
	554	u_m_s(:,:,:) = u(:,0:1,:)
	555	v_m_s(:,:,:) = v(:,1:2,:)
	556	w_m_s(:,:,:) = w(:,0:1,:)
	557	ENDIF
	558
	559	!
	560	!-- Calculate the new velocities
[996]	561	DO k = nzb+1, nzt+1
	562	DO i = nxlg, nxrg
[978]	563	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	564	( u(k,-1,i) - u(k,0,i) ) * ddy
	565
[978]	566	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	567	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	568
[978]	569	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	570	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	571	ENDDO
[75]	572	ENDDO
	573
	574	!
[978]	575	!-- Bottom boundary at the outflow
	576	IF ( ibc_uv_b == 0 ) THEN
[1353]	577	u_p(nzb,-1,:) = 0.0_wp
	578	v_p(nzb,0,:) = 0.0_wp
[978]	579	ELSE
	580	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	581	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	582	ENDIF
[1353]	583	w_p(nzb,-1,:) = 0.0_wp
[73]	584
[75]	585	!
[978]	586	!-- Top boundary at the outflow
	587	IF ( ibc_uv_t == 0 ) THEN
	588	u_p(nzt+1,-1,:) = u_init(nzt+1)
	589	v_p(nzt+1,0,:) = v_init(nzt+1)
	590	ELSE
[1742]	591	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	592	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	593	ENDIF
[1353]	594	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	595
[75]	596	ENDIF
[73]	597
[75]	598	ENDIF
[73]	599
[106]	600	IF ( outflow_n ) THEN
[73]	601
[1159]	602	IF ( use_cmax ) THEN
	603	u_p(:,ny+1,:) = u(:,ny,:)
	604	v_p(:,ny+1,:) = v(:,ny,:)
	605	w_p(:,ny+1,:) = w(:,ny,:)
	606	ELSEIF ( .NOT. use_cmax ) THEN
[75]	607
[978]	608	c_max = dy / dt_3d
[75]	609
[1353]	610	c_u_m_l = 0.0_wp
	611	c_v_m_l = 0.0_wp
	612	c_w_m_l = 0.0_wp
[978]	613
[1353]	614	c_u_m = 0.0_wp
	615	c_v_m = 0.0_wp
	616	c_w_m = 0.0_wp
[978]	617
[1]	618	!
[996]	619	!-- Calculate the phase speeds for u, v, and w, first local and then
	620	!-- average along the outflow boundary.
	621	DO k = nzb+1, nzt+1
	622	DO i = nxl, nxr
[73]	623
[106]	624	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	625
[1353]	626	IF ( denom /= 0.0_wp ) THEN
[996]	627	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	628	IF ( c_u(k,i) < 0.0_wp ) THEN
	629	c_u(k,i) = 0.0_wp
[106]	630	ELSEIF ( c_u(k,i) > c_max ) THEN
	631	c_u(k,i) = c_max
	632	ENDIF
	633	ELSE
	634	c_u(k,i) = c_max
[73]	635	ENDIF
	636
[106]	637	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	638
[1353]	639	IF ( denom /= 0.0_wp ) THEN
[996]	640	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	641	IF ( c_v(k,i) < 0.0_wp ) THEN
	642	c_v(k,i) = 0.0_wp
[106]	643	ELSEIF ( c_v(k,i) > c_max ) THEN
	644	c_v(k,i) = c_max
	645	ENDIF
	646	ELSE
	647	c_v(k,i) = c_max
[73]	648	ENDIF
	649
[106]	650	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	651
[1353]	652	IF ( denom /= 0.0_wp ) THEN
[996]	653	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	654	IF ( c_w(k,i) < 0.0_wp ) THEN
	655	c_w(k,i) = 0.0_wp
[106]	656	ELSEIF ( c_w(k,i) > c_max ) THEN
	657	c_w(k,i) = c_max
	658	ENDIF
	659	ELSE
	660	c_w(k,i) = c_max
[73]	661	ENDIF
[106]	662
[978]	663	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	664	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	665	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	666
[978]	667	ENDDO
	668	ENDDO
[73]	669
[978]	670	#if defined( __parallel )
	671	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	672	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	673	MPI_SUM, comm1dx, ierr )
	674	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	675	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	676	MPI_SUM, comm1dx, ierr )
	677	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	678	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	679	MPI_SUM, comm1dx, ierr )
	680	#else
	681	c_u_m = c_u_m_l
	682	c_v_m = c_v_m_l
	683	c_w_m = c_w_m_l
	684	#endif
	685
	686	c_u_m = c_u_m / (nx+1)
	687	c_v_m = c_v_m / (nx+1)
	688	c_w_m = c_w_m / (nx+1)
	689
[73]	690	!
[978]	691	!-- Save old timelevels for the next timestep
	692	IF ( intermediate_timestep_count == 1 ) THEN
	693	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	694	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	695	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	696	ENDIF
[73]	697
[978]	698	!
	699	!-- Calculate the new velocities
[996]	700	DO k = nzb+1, nzt+1
	701	DO i = nxlg, nxrg
[978]	702	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	703	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	704
[978]	705	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	706	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	707
[978]	708	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	709	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	710	ENDDO
[1]	711	ENDDO
	712
	713	!
[978]	714	!-- Bottom boundary at the outflow
	715	IF ( ibc_uv_b == 0 ) THEN
[1353]	716	u_p(nzb,ny+1,:) = 0.0_wp
	717	v_p(nzb,ny+1,:) = 0.0_wp
[978]	718	ELSE
	719	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	720	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	721	ENDIF
[1353]	722	w_p(nzb,ny+1,:) = 0.0_wp
[73]	723
	724	!
[978]	725	!-- Top boundary at the outflow
	726	IF ( ibc_uv_t == 0 ) THEN
	727	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	728	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	729	ELSE
	730	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	731	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	732	ENDIF
[1353]	733	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	734
[1]	735	ENDIF
	736
[75]	737	ENDIF
	738
[106]	739	IF ( outflow_l ) THEN
[75]	740
[1159]	741	IF ( use_cmax ) THEN
[1717]	742	u_p(:,:,0) = u(:,:,1)
	743	v_p(:,:,-1) = v(:,:,0)
[1159]	744	w_p(:,:,-1) = w(:,:,0)
	745	ELSEIF ( .NOT. use_cmax ) THEN
[75]	746
[978]	747	c_max = dx / dt_3d
[75]	748
[1353]	749	c_u_m_l = 0.0_wp
	750	c_v_m_l = 0.0_wp
	751	c_w_m_l = 0.0_wp
[978]	752
[1353]	753	c_u_m = 0.0_wp
	754	c_v_m = 0.0_wp
	755	c_w_m = 0.0_wp
[978]	756
[1]	757	!
[996]	758	!-- Calculate the phase speeds for u, v, and w, first local and then
	759	!-- average along the outflow boundary.
	760	DO k = nzb+1, nzt+1
	761	DO j = nys, nyn
[75]	762
[106]	763	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	764
[1353]	765	IF ( denom /= 0.0_wp ) THEN
[996]	766	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	767	IF ( c_u(k,j) < 0.0_wp ) THEN
	768	c_u(k,j) = 0.0_wp
[107]	769	ELSEIF ( c_u(k,j) > c_max ) THEN
	770	c_u(k,j) = c_max
[106]	771	ENDIF
	772	ELSE
[107]	773	c_u(k,j) = c_max
[75]	774	ENDIF
	775
[106]	776	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	777
[1353]	778	IF ( denom /= 0.0_wp ) THEN
[996]	779	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	780	IF ( c_v(k,j) < 0.0_wp ) THEN
	781	c_v(k,j) = 0.0_wp
[106]	782	ELSEIF ( c_v(k,j) > c_max ) THEN
	783	c_v(k,j) = c_max
	784	ENDIF
	785	ELSE
	786	c_v(k,j) = c_max
[75]	787	ENDIF
	788
[106]	789	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	790
[1353]	791	IF ( denom /= 0.0_wp ) THEN
[996]	792	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	793	IF ( c_w(k,j) < 0.0_wp ) THEN
	794	c_w(k,j) = 0.0_wp
[106]	795	ELSEIF ( c_w(k,j) > c_max ) THEN
	796	c_w(k,j) = c_max
	797	ENDIF
	798	ELSE
	799	c_w(k,j) = c_max
[75]	800	ENDIF
[106]	801
[978]	802	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	803	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	804	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	805
[978]	806	ENDDO
	807	ENDDO
[75]	808
[978]	809	#if defined( __parallel )
	810	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	811	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	812	MPI_SUM, comm1dy, ierr )
	813	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	814	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	815	MPI_SUM, comm1dy, ierr )
	816	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	817	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	818	MPI_SUM, comm1dy, ierr )
	819	#else
	820	c_u_m = c_u_m_l
	821	c_v_m = c_v_m_l
	822	c_w_m = c_w_m_l
	823	#endif
	824
	825	c_u_m = c_u_m / (ny+1)
	826	c_v_m = c_v_m / (ny+1)
	827	c_w_m = c_w_m / (ny+1)
	828
[73]	829	!
[978]	830	!-- Save old timelevels for the next timestep
	831	IF ( intermediate_timestep_count == 1 ) THEN
	832	u_m_l(:,:,:) = u(:,:,1:2)
	833	v_m_l(:,:,:) = v(:,:,0:1)
	834	w_m_l(:,:,:) = w(:,:,0:1)
	835	ENDIF
	836
	837	!
	838	!-- Calculate the new velocities
[996]	839	DO k = nzb+1, nzt+1
[1113]	840	DO j = nysg, nyng
[978]	841	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	842	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	843
[978]	844	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	845	( v(k,j,-1) - v(k,j,0) ) * ddx
	846
[978]	847	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	848	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	849	ENDDO
[75]	850	ENDDO
	851
	852	!
[978]	853	!-- Bottom boundary at the outflow
	854	IF ( ibc_uv_b == 0 ) THEN
[1353]	855	u_p(nzb,:,0) = 0.0_wp
	856	v_p(nzb,:,-1) = 0.0_wp
[978]	857	ELSE
	858	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	859	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	860	ENDIF
[1353]	861	w_p(nzb,:,-1) = 0.0_wp
[1]	862
[75]	863	!
[978]	864	!-- Top boundary at the outflow
	865	IF ( ibc_uv_t == 0 ) THEN
[1764]	866	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	867	v_p(nzt+1,:,-1) = v_init(nzt+1)
	868	ELSE
[1764]	869	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	870	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	871	ENDIF
[1353]	872	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	873
[75]	874	ENDIF
[73]	875
[75]	876	ENDIF
[73]	877
[106]	878	IF ( outflow_r ) THEN
[73]	879
[1159]	880	IF ( use_cmax ) THEN
	881	u_p(:,:,nx+1) = u(:,:,nx)
	882	v_p(:,:,nx+1) = v(:,:,nx)
	883	w_p(:,:,nx+1) = w(:,:,nx)
	884	ELSEIF ( .NOT. use_cmax ) THEN
[75]	885
[978]	886	c_max = dx / dt_3d
[75]	887
[1353]	888	c_u_m_l = 0.0_wp
	889	c_v_m_l = 0.0_wp
	890	c_w_m_l = 0.0_wp
[978]	891
[1353]	892	c_u_m = 0.0_wp
	893	c_v_m = 0.0_wp
	894	c_w_m = 0.0_wp
[978]	895
[1]	896	!
[996]	897	!-- Calculate the phase speeds for u, v, and w, first local and then
	898	!-- average along the outflow boundary.
	899	DO k = nzb+1, nzt+1
	900	DO j = nys, nyn
[73]	901
[106]	902	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	903
[1353]	904	IF ( denom /= 0.0_wp ) THEN
[996]	905	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	906	IF ( c_u(k,j) < 0.0_wp ) THEN
	907	c_u(k,j) = 0.0_wp
[106]	908	ELSEIF ( c_u(k,j) > c_max ) THEN
	909	c_u(k,j) = c_max
	910	ENDIF
	911	ELSE
	912	c_u(k,j) = c_max
[73]	913	ENDIF
	914
[106]	915	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	916
[1353]	917	IF ( denom /= 0.0_wp ) THEN
[996]	918	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	919	IF ( c_v(k,j) < 0.0_wp ) THEN
	920	c_v(k,j) = 0.0_wp
[106]	921	ELSEIF ( c_v(k,j) > c_max ) THEN
	922	c_v(k,j) = c_max
	923	ENDIF
	924	ELSE
	925	c_v(k,j) = c_max
[73]	926	ENDIF
	927
[106]	928	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	929
[1353]	930	IF ( denom /= 0.0_wp ) THEN
[996]	931	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	932	IF ( c_w(k,j) < 0.0_wp ) THEN
	933	c_w(k,j) = 0.0_wp
[106]	934	ELSEIF ( c_w(k,j) > c_max ) THEN
	935	c_w(k,j) = c_max
	936	ENDIF
	937	ELSE
	938	c_w(k,j) = c_max
[73]	939	ENDIF
[106]	940
[978]	941	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	942	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	943	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	944
[978]	945	ENDDO
	946	ENDDO
[73]	947
[978]	948	#if defined( __parallel )
	949	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	950	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	951	MPI_SUM, comm1dy, ierr )
	952	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	953	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	954	MPI_SUM, comm1dy, ierr )
	955	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	956	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	957	MPI_SUM, comm1dy, ierr )
	958	#else
	959	c_u_m = c_u_m_l
	960	c_v_m = c_v_m_l
	961	c_w_m = c_w_m_l
	962	#endif
	963
	964	c_u_m = c_u_m / (ny+1)
	965	c_v_m = c_v_m / (ny+1)
	966	c_w_m = c_w_m / (ny+1)
	967
[73]	968	!
[978]	969	!-- Save old timelevels for the next timestep
	970	IF ( intermediate_timestep_count == 1 ) THEN
	971	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	972	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	973	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	974	ENDIF
[73]	975
[978]	976	!
	977	!-- Calculate the new velocities
[996]	978	DO k = nzb+1, nzt+1
[1113]	979	DO j = nysg, nyng
[978]	980	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	981	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	982
[978]	983	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	984	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	985
[978]	986	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	987	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	988	ENDDO
[73]	989	ENDDO
	990
	991	!
[978]	992	!-- Bottom boundary at the outflow
	993	IF ( ibc_uv_b == 0 ) THEN
[1353]	994	u_p(nzb,:,nx+1) = 0.0_wp
	995	v_p(nzb,:,nx+1) = 0.0_wp
[978]	996	ELSE
	997	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	998	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	999	ENDIF
[1353]	1000	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1001
	1002	!
[978]	1003	!-- Top boundary at the outflow
	1004	IF ( ibc_uv_t == 0 ) THEN
	1005	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1006	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1007	ELSE
	1008	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1009	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1010	ENDIF
[1742]	1011	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1012
[1]	1013	ENDIF
	1014
	1015	ENDIF
	1016
	1017	END SUBROUTINE boundary_conds

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