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source: palm/trunk/SOURCE/boundary_conds.f90 @ 2232

Last change on this file since 2232 was 2232, checked in by suehring, 7 years ago
Adjustments according new topography and surface-modelling concept implemented
Property svn:keywords set to `Id`
File size: 37.4 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	! -----------------
[2232]	22	! Set boundary conditions on topography top using flag method.
[1933]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 2232 2017-05-30 17:47:52Z suehring $
	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, &
[2232]	170	nzb, nzt, wall_flags_0
[1320]	171
	172	USE kinds
	173
[1]	174	USE pegrid
	175
[1933]	176	USE pmc_interface, &
	177	ONLY : nesting_mode
[1320]	178
[2232]	179	USE surface_mod, &
	180	ONLY : bc_h
[1933]	181
[1]	182	IMPLICIT NONE
	183
[2232]	184	INTEGER(iwp) :: i !< grid index x direction
	185	INTEGER(iwp) :: j !< grid index y direction
	186	INTEGER(iwp) :: k !< grid index z direction
	187	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	188	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	189	INTEGER(iwp) :: m !< running index surface elements
[1]	190
[1682]	191	REAL(wp) :: c_max !<
	192	REAL(wp) :: denom !<
[1]	193
[73]	194
[1]	195	!
[1113]	196	!-- Bottom boundary
	197	IF ( ibc_uv_b == 1 ) THEN
	198	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	199	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	200	ENDIF
[2232]	201	!
	202	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	203	!-- of downward-facing surfaces.
	204	DO l = 0, 1
	205	!
	206	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	207	!-- for downward-facing surfaces at topography bottom (k+1).
	208	kb = MERGE( -1, 1, l == 0 )
	209	!$OMP PARALLEL DO PRIVATE( i, j, k )
	210	DO m = 1, bc_h(l)%ns
	211	i = bc_h(l)%i(m)
	212	j = bc_h(l)%j(m)
	213	k = bc_h(l)%k(m)
	214	w_p(k+kb,j,i) = 0.0_wp
[1113]	215	ENDDO
	216	ENDDO
	217
	218	!
[1762]	219	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	220	IF ( ibc_uv_t == 0 ) THEN
	221	u_p(nzt+1,:,:) = u_init(nzt+1)
	222	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	223	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	224	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	225	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	226	ENDIF
	227
[1762]	228	IF ( .NOT. nest_domain ) THEN
	229	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
	230	ENDIF
	231
[1113]	232	!
[2232]	233	!-- Temperature at bottom and top boundary.
[1113]	234	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	235	!-- the sea surface temperature of the coupled ocean model.
[2232]	236	!-- Dirichlet
[1113]	237	IF ( ibc_pt_b == 0 ) THEN
[2232]	238	DO l = 0, 1
	239	!
	240	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	241	!-- for downward-facing surfaces at topography bottom (k+1).
	242	kb = MERGE( -1, 1, l == 0 )
	243	!$OMP PARALLEL DO PRIVATE( i, j, k )
	244	DO m = 1, bc_h(l)%ns
	245	i = bc_h(l)%i(m)
	246	j = bc_h(l)%j(m)
	247	k = bc_h(l)%k(m)
	248	pt_p(k+kb,j,i) = pt(k+kb,j,i)
[1]	249	ENDDO
	250	ENDDO
[2232]	251	!
	252	!-- Neumann, zero-gradient
[1113]	253	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	254	DO l = 0, 1
	255	!
	256	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	257	!-- for downward-facing surfaces at topography bottom (k+1).
	258	kb = MERGE( -1, 1, l == 0 )
	259	!$OMP PARALLEL DO PRIVATE( i, j, k )
	260	DO m = 1, bc_h(l)%ns
	261	i = bc_h(l)%i(m)
	262	j = bc_h(l)%j(m)
	263	k = bc_h(l)%k(m)
	264	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	265	ENDDO
	266	ENDDO
	267	ENDIF
[1]	268
	269	!
[1113]	270	!-- Temperature at top boundary
	271	IF ( ibc_pt_t == 0 ) THEN
	272	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	273	!
	274	!-- In case of nudging adjust top boundary to pt which is
	275	!-- read in from NUDGING-DATA
	276	IF ( nudging ) THEN
	277	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	278	ENDIF
[1113]	279	ELSEIF ( ibc_pt_t == 1 ) THEN
	280	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	281	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	282	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	283	ENDIF
[1]	284
	285	!
[1113]	286	!-- Boundary conditions for TKE
	287	!-- Generally Neumann conditions with de/dz=0 are assumed
	288	IF ( .NOT. constant_diffusion ) THEN
[2232]	289
	290	DO l = 0, 1
	291	!
	292	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	293	!-- for downward-facing surfaces at topography bottom (k+1).
	294	kb = MERGE( -1, 1, l == 0 )
	295	!$OMP PARALLEL DO PRIVATE( i, j, k )
	296	DO m = 1, bc_h(l)%ns
	297	i = bc_h(l)%i(m)
	298	j = bc_h(l)%j(m)
	299	k = bc_h(l)%k(m)
	300	e_p(k+kb,j,i) = e_p(k,j,i)
[73]	301	ENDDO
[1113]	302	ENDDO
[2232]	303
[1762]	304	IF ( .NOT. nest_domain ) THEN
	305	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	306	ENDIF
[1113]	307	ENDIF
	308
	309	!
	310	!-- Boundary conditions for salinity
	311	IF ( ocean ) THEN
	312	!
	313	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	314	!-- given.
	315	DO l = 0, 1
	316	!
	317	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	318	!-- for downward-facing surfaces at topography bottom (k+1).
	319	kb = MERGE( -1, 1, l == 0 )
	320	!$OMP PARALLEL DO PRIVATE( i, j, k )
	321	DO m = 1, bc_h(l)%ns
	322	i = bc_h(l)%i(m)
	323	j = bc_h(l)%j(m)
	324	k = bc_h(l)%k(m)
	325	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	326	ENDDO
[1113]	327	ENDDO
[1]	328	!
[1113]	329	!-- Top boundary: Dirichlet or Neumann
	330	IF ( ibc_sa_t == 0 ) THEN
	331	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	332	ELSEIF ( ibc_sa_t == 1 ) THEN
	333	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	334	ENDIF
	335
[1113]	336	ENDIF
	337
[1]	338	!
[1960]	339	!-- Boundary conditions for total water content,
[1113]	340	!-- bottom and top boundary (see also temperature)
[1960]	341	IF ( humidity ) THEN
[1113]	342	!
	343	!-- Surface conditions for constant_humidity_flux
[2232]	344	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	345	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	346	!-- q_p at k-1
[1113]	347	IF ( ibc_q_b == 0 ) THEN
[2232]	348
	349	DO l = 0, 1
	350	!
	351	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	352	!-- for downward-facing surfaces at topography bottom (k+1).
	353	kb = MERGE( -1, 1, l == 0 )
	354	!$OMP PARALLEL DO PRIVATE( i, j, k )
	355	DO m = 1, bc_h(l)%ns
	356	i = bc_h(l)%i(m)
	357	j = bc_h(l)%j(m)
	358	k = bc_h(l)%k(m)
	359	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	360	ENDDO
	361	ENDDO
[2232]	362
[1113]	363	ELSE
[2232]	364	!$OMP PARALLEL DO PRIVATE( i, j, k )
	365	DO m = 1, bc_h(0)%ns
	366	i = bc_h(0)%i(m)
	367	j = bc_h(0)%j(m)
	368	k = bc_h(0)%k(m)
	369	q_p(k-1,j,i) = q_p(k,j,i)
	370	ENDDO
	371
	372	DO l = 0, 1
	373	!
	374	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	375	!-- for downward-facing surfaces at topography bottom (k+1).
	376	kb = MERGE( -1, 1, l == 0 )
	377	!$OMP PARALLEL DO PRIVATE( i, j, k )
	378	DO m = 1, bc_h(l)%ns
	379	i = bc_h(l)%i(m)
	380	j = bc_h(l)%j(m)
	381	k = bc_h(l)%k(m)
	382	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	383	ENDDO
	384	ENDDO
[1113]	385	ENDIF
[95]	386	!
[1113]	387	!-- Top boundary
[1462]	388	IF ( ibc_q_t == 0 ) THEN
	389	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	390	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	391	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	392	ENDIF
[95]	393
[1822]	394	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1113]	395	!
[1361]	396	!-- Surface conditions rain water (Dirichlet)
[2232]	397	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	398	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	399	!-- qr_p and nr_p at k-1
	400	!$OMP PARALLEL DO PRIVATE( i, j, k )
	401	DO m = 1, bc_h(0)%ns
	402	i = bc_h(0)%i(m)
	403	j = bc_h(0)%j(m)
	404	k = bc_h(0)%k(m)
	405	qr_p(k-1,j,i) = 0.0_wp
	406	nr_p(k-1,j,i) = 0.0_wp
[1115]	407	ENDDO
[1]	408	!
[1361]	409	!-- Top boundary condition for rain water (Dirichlet)
	410	qr_p(nzt+1,:,:) = 0.0_wp
	411	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	412
[1]	413	ENDIF
[1409]	414	ENDIF
[1]	415	!
[1960]	416	!-- Boundary conditions for scalar,
	417	!-- bottom and top boundary (see also temperature)
	418	IF ( passive_scalar ) THEN
	419	!
	420	!-- Surface conditions for constant_humidity_flux
[2232]	421	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	422	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	423	!-- s_p at k-1
[1960]	424	IF ( ibc_s_b == 0 ) THEN
[2232]	425
	426	DO l = 0, 1
	427	!
	428	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	429	!-- for downward-facing surfaces at topography bottom (k+1).
	430	kb = MERGE( -1, 1, l == 0 )
	431	!$OMP PARALLEL DO PRIVATE( i, j, k )
	432	DO m = 1, bc_h(l)%ns
	433	i = bc_h(l)%i(m)
	434	j = bc_h(l)%j(m)
	435	k = bc_h(l)%k(m)
	436	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	437	ENDDO
	438	ENDDO
[2232]	439
[1960]	440	ELSE
[2232]	441	!$OMP PARALLEL DO PRIVATE( i, j, k )
	442	DO m = 1, bc_h(0)%ns
	443	i = bc_h(0)%i(m)
	444	j = bc_h(0)%j(m)
	445	k = bc_h(0)%k(m)
	446	s_p(k-1,j,i) = s_p(k,j,i)
	447	ENDDO
	448
	449	DO l = 0, 1
	450	!
	451	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	452	!-- for downward-facing surfaces at topography bottom (k+1).
	453	kb = MERGE( -1, 1, l == 0 )
	454	!$OMP PARALLEL DO PRIVATE( i, j, k )
	455	DO m = 1, bc_h(l)%ns
	456	i = bc_h(l)%i(m)
	457	j = bc_h(l)%j(m)
	458	k = bc_h(l)%k(m)
	459	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	460	ENDDO
	461	ENDDO
	462	ENDIF
	463	!
[1992]	464	!-- Top boundary condition
	465	IF ( ibc_s_t == 0 ) THEN
[1960]	466	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	467	ELSEIF ( ibc_s_t == 1 ) THEN
	468	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	469	ELSEIF ( ibc_s_t == 2 ) THEN
	470	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	471	ENDIF
	472
	473	ENDIF
	474	!
[1762]	475	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	476	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	477	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	478	!-- version) these levels are handled as a prognostic level, boundary values
	479	!-- have to be restored here.
[1409]	480	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	481	IF ( inflow_s ) THEN
	482	v_p(:,nys,:) = v_p(:,nys-1,:)
	483	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	484	ELSEIF ( inflow_n ) THEN
	485	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	486	ELSEIF ( inflow_l ) THEN
	487	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	488	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	489	ELSEIF ( inflow_r ) THEN
	490	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	491	ENDIF
[1]	492
	493	!
[1762]	494	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	495	!-- in case of nest boundaries. This must not be done in case of vertical nesting
	496	!-- mode as in that case the lateral boundaries are actually cyclic.
	497	IF ( nesting_mode /= 'vertical' ) THEN
	498	IF ( nest_bound_s ) THEN
	499	v_p(:,nys,:) = v_p(:,nys-1,:)
	500	ENDIF
	501	IF ( nest_bound_l ) THEN
	502	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	503	ENDIF
[1762]	504	ENDIF
	505
	506	!
[1409]	507	!-- Lateral boundary conditions for scalar quantities at the outflow
	508	IF ( outflow_s ) THEN
	509	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	510	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[1960]	511	IF ( humidity ) THEN
[1409]	512	q_p(:,nys-1,:) = q_p(:,nys,:)
[1822]	513	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	514	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	515	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	516	ENDIF
[1409]	517	ENDIF
[1960]	518	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[1409]	519	ELSEIF ( outflow_n ) THEN
	520	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	521	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1960]	522	IF ( humidity ) THEN
[1409]	523	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[1822]	524	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	525	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	526	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	527	ENDIF
[1409]	528	ENDIF
[1960]	529	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[1409]	530	ELSEIF ( outflow_l ) THEN
	531	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	532	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[1960]	533	IF ( humidity ) THEN
[1409]	534	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[1822]	535	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	536	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	537	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	538	ENDIF
[1409]	539	ENDIF
[1960]	540	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[1409]	541	ELSEIF ( outflow_r ) THEN
	542	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	543	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1960]	544	IF ( humidity ) THEN
[1409]	545	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[1822]	546	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	547	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	548	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	549	ENDIF
[1]	550	ENDIF
[1960]	551	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	552	ENDIF
	553
	554	!
[1159]	555	!-- Radiation boundary conditions for the velocities at the respective outflow.
	556	!-- The phase velocity is either assumed to the maximum phase velocity that
	557	!-- ensures numerical stability (CFL-condition) or calculated after
	558	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	559	IF ( outflow_s ) THEN
[75]	560
[1159]	561	IF ( use_cmax ) THEN
	562	u_p(:,-1,:) = u(:,0,:)
	563	v_p(:,0,:) = v(:,1,:)
	564	w_p(:,-1,:) = w(:,0,:)
	565	ELSEIF ( .NOT. use_cmax ) THEN
[75]	566
[978]	567	c_max = dy / dt_3d
[75]	568
[1353]	569	c_u_m_l = 0.0_wp
	570	c_v_m_l = 0.0_wp
	571	c_w_m_l = 0.0_wp
[978]	572
[1353]	573	c_u_m = 0.0_wp
	574	c_v_m = 0.0_wp
	575	c_w_m = 0.0_wp
[978]	576
[75]	577	!
[996]	578	!-- Calculate the phase speeds for u, v, and w, first local and then
	579	!-- average along the outflow boundary.
	580	DO k = nzb+1, nzt+1
	581	DO i = nxl, nxr
[75]	582
[106]	583	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	584
[1353]	585	IF ( denom /= 0.0_wp ) THEN
[996]	586	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	587	IF ( c_u(k,i) < 0.0_wp ) THEN
	588	c_u(k,i) = 0.0_wp
[106]	589	ELSEIF ( c_u(k,i) > c_max ) THEN
	590	c_u(k,i) = c_max
	591	ENDIF
	592	ELSE
	593	c_u(k,i) = c_max
[75]	594	ENDIF
	595
[106]	596	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	597
[1353]	598	IF ( denom /= 0.0_wp ) THEN
[996]	599	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	600	IF ( c_v(k,i) < 0.0_wp ) THEN
	601	c_v(k,i) = 0.0_wp
[106]	602	ELSEIF ( c_v(k,i) > c_max ) THEN
	603	c_v(k,i) = c_max
	604	ENDIF
	605	ELSE
	606	c_v(k,i) = c_max
[75]	607	ENDIF
	608
[106]	609	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	610
[1353]	611	IF ( denom /= 0.0_wp ) THEN
[996]	612	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	613	IF ( c_w(k,i) < 0.0_wp ) THEN
	614	c_w(k,i) = 0.0_wp
[106]	615	ELSEIF ( c_w(k,i) > c_max ) THEN
	616	c_w(k,i) = c_max
	617	ENDIF
	618	ELSE
	619	c_w(k,i) = c_max
[75]	620	ENDIF
[106]	621
[978]	622	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	623	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	624	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	625
[978]	626	ENDDO
	627	ENDDO
[75]	628
[978]	629	#if defined( __parallel )
	630	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	631	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	632	MPI_SUM, comm1dx, ierr )
	633	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	634	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	635	MPI_SUM, comm1dx, ierr )
	636	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	637	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	638	MPI_SUM, comm1dx, ierr )
	639	#else
	640	c_u_m = c_u_m_l
	641	c_v_m = c_v_m_l
	642	c_w_m = c_w_m_l
	643	#endif
	644
	645	c_u_m = c_u_m / (nx+1)
	646	c_v_m = c_v_m / (nx+1)
	647	c_w_m = c_w_m / (nx+1)
	648
[75]	649	!
[978]	650	!-- Save old timelevels for the next timestep
	651	IF ( intermediate_timestep_count == 1 ) THEN
	652	u_m_s(:,:,:) = u(:,0:1,:)
	653	v_m_s(:,:,:) = v(:,1:2,:)
	654	w_m_s(:,:,:) = w(:,0:1,:)
	655	ENDIF
	656
	657	!
	658	!-- Calculate the new velocities
[996]	659	DO k = nzb+1, nzt+1
	660	DO i = nxlg, nxrg
[978]	661	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	662	( u(k,-1,i) - u(k,0,i) ) * ddy
	663
[978]	664	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	665	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	666
[978]	667	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	668	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	669	ENDDO
[75]	670	ENDDO
	671
	672	!
[978]	673	!-- Bottom boundary at the outflow
	674	IF ( ibc_uv_b == 0 ) THEN
[1353]	675	u_p(nzb,-1,:) = 0.0_wp
	676	v_p(nzb,0,:) = 0.0_wp
[978]	677	ELSE
	678	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	679	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	680	ENDIF
[1353]	681	w_p(nzb,-1,:) = 0.0_wp
[73]	682
[75]	683	!
[978]	684	!-- Top boundary at the outflow
	685	IF ( ibc_uv_t == 0 ) THEN
	686	u_p(nzt+1,-1,:) = u_init(nzt+1)
	687	v_p(nzt+1,0,:) = v_init(nzt+1)
	688	ELSE
[1742]	689	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	690	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	691	ENDIF
[1353]	692	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	693
[75]	694	ENDIF
[73]	695
[75]	696	ENDIF
[73]	697
[106]	698	IF ( outflow_n ) THEN
[73]	699
[1159]	700	IF ( use_cmax ) THEN
	701	u_p(:,ny+1,:) = u(:,ny,:)
	702	v_p(:,ny+1,:) = v(:,ny,:)
	703	w_p(:,ny+1,:) = w(:,ny,:)
	704	ELSEIF ( .NOT. use_cmax ) THEN
[75]	705
[978]	706	c_max = dy / dt_3d
[75]	707
[1353]	708	c_u_m_l = 0.0_wp
	709	c_v_m_l = 0.0_wp
	710	c_w_m_l = 0.0_wp
[978]	711
[1353]	712	c_u_m = 0.0_wp
	713	c_v_m = 0.0_wp
	714	c_w_m = 0.0_wp
[978]	715
[1]	716	!
[996]	717	!-- Calculate the phase speeds for u, v, and w, first local and then
	718	!-- average along the outflow boundary.
	719	DO k = nzb+1, nzt+1
	720	DO i = nxl, nxr
[73]	721
[106]	722	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	723
[1353]	724	IF ( denom /= 0.0_wp ) THEN
[996]	725	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	726	IF ( c_u(k,i) < 0.0_wp ) THEN
	727	c_u(k,i) = 0.0_wp
[106]	728	ELSEIF ( c_u(k,i) > c_max ) THEN
	729	c_u(k,i) = c_max
	730	ENDIF
	731	ELSE
	732	c_u(k,i) = c_max
[73]	733	ENDIF
	734
[106]	735	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	736
[1353]	737	IF ( denom /= 0.0_wp ) THEN
[996]	738	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	739	IF ( c_v(k,i) < 0.0_wp ) THEN
	740	c_v(k,i) = 0.0_wp
[106]	741	ELSEIF ( c_v(k,i) > c_max ) THEN
	742	c_v(k,i) = c_max
	743	ENDIF
	744	ELSE
	745	c_v(k,i) = c_max
[73]	746	ENDIF
	747
[106]	748	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	749
[1353]	750	IF ( denom /= 0.0_wp ) THEN
[996]	751	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	752	IF ( c_w(k,i) < 0.0_wp ) THEN
	753	c_w(k,i) = 0.0_wp
[106]	754	ELSEIF ( c_w(k,i) > c_max ) THEN
	755	c_w(k,i) = c_max
	756	ENDIF
	757	ELSE
	758	c_w(k,i) = c_max
[73]	759	ENDIF
[106]	760
[978]	761	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	762	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	763	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	764
[978]	765	ENDDO
	766	ENDDO
[73]	767
[978]	768	#if defined( __parallel )
	769	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	770	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	771	MPI_SUM, comm1dx, ierr )
	772	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	773	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	774	MPI_SUM, comm1dx, ierr )
	775	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	776	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	777	MPI_SUM, comm1dx, ierr )
	778	#else
	779	c_u_m = c_u_m_l
	780	c_v_m = c_v_m_l
	781	c_w_m = c_w_m_l
	782	#endif
	783
	784	c_u_m = c_u_m / (nx+1)
	785	c_v_m = c_v_m / (nx+1)
	786	c_w_m = c_w_m / (nx+1)
	787
[73]	788	!
[978]	789	!-- Save old timelevels for the next timestep
	790	IF ( intermediate_timestep_count == 1 ) THEN
	791	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	792	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	793	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	794	ENDIF
[73]	795
[978]	796	!
	797	!-- Calculate the new velocities
[996]	798	DO k = nzb+1, nzt+1
	799	DO i = nxlg, nxrg
[978]	800	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	801	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	802
[978]	803	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	804	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	805
[978]	806	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	807	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	808	ENDDO
[1]	809	ENDDO
	810
	811	!
[978]	812	!-- Bottom boundary at the outflow
	813	IF ( ibc_uv_b == 0 ) THEN
[1353]	814	u_p(nzb,ny+1,:) = 0.0_wp
	815	v_p(nzb,ny+1,:) = 0.0_wp
[978]	816	ELSE
	817	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	818	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	819	ENDIF
[1353]	820	w_p(nzb,ny+1,:) = 0.0_wp
[73]	821
	822	!
[978]	823	!-- Top boundary at the outflow
	824	IF ( ibc_uv_t == 0 ) THEN
	825	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	826	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	827	ELSE
	828	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	829	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	830	ENDIF
[1353]	831	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	832
[1]	833	ENDIF
	834
[75]	835	ENDIF
	836
[106]	837	IF ( outflow_l ) THEN
[75]	838
[1159]	839	IF ( use_cmax ) THEN
[1717]	840	u_p(:,:,0) = u(:,:,1)
	841	v_p(:,:,-1) = v(:,:,0)
[1159]	842	w_p(:,:,-1) = w(:,:,0)
	843	ELSEIF ( .NOT. use_cmax ) THEN
[75]	844
[978]	845	c_max = dx / dt_3d
[75]	846
[1353]	847	c_u_m_l = 0.0_wp
	848	c_v_m_l = 0.0_wp
	849	c_w_m_l = 0.0_wp
[978]	850
[1353]	851	c_u_m = 0.0_wp
	852	c_v_m = 0.0_wp
	853	c_w_m = 0.0_wp
[978]	854
[1]	855	!
[996]	856	!-- Calculate the phase speeds for u, v, and w, first local and then
	857	!-- average along the outflow boundary.
	858	DO k = nzb+1, nzt+1
	859	DO j = nys, nyn
[75]	860
[106]	861	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	862
[1353]	863	IF ( denom /= 0.0_wp ) THEN
[996]	864	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	865	IF ( c_u(k,j) < 0.0_wp ) THEN
	866	c_u(k,j) = 0.0_wp
[107]	867	ELSEIF ( c_u(k,j) > c_max ) THEN
	868	c_u(k,j) = c_max
[106]	869	ENDIF
	870	ELSE
[107]	871	c_u(k,j) = c_max
[75]	872	ENDIF
	873
[106]	874	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	875
[1353]	876	IF ( denom /= 0.0_wp ) THEN
[996]	877	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	878	IF ( c_v(k,j) < 0.0_wp ) THEN
	879	c_v(k,j) = 0.0_wp
[106]	880	ELSEIF ( c_v(k,j) > c_max ) THEN
	881	c_v(k,j) = c_max
	882	ENDIF
	883	ELSE
	884	c_v(k,j) = c_max
[75]	885	ENDIF
	886
[106]	887	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	888
[1353]	889	IF ( denom /= 0.0_wp ) THEN
[996]	890	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	891	IF ( c_w(k,j) < 0.0_wp ) THEN
	892	c_w(k,j) = 0.0_wp
[106]	893	ELSEIF ( c_w(k,j) > c_max ) THEN
	894	c_w(k,j) = c_max
	895	ENDIF
	896	ELSE
	897	c_w(k,j) = c_max
[75]	898	ENDIF
[106]	899
[978]	900	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	901	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	902	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	903
[978]	904	ENDDO
	905	ENDDO
[75]	906
[978]	907	#if defined( __parallel )
	908	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	909	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	910	MPI_SUM, comm1dy, ierr )
	911	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	912	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	913	MPI_SUM, comm1dy, ierr )
	914	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	915	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	916	MPI_SUM, comm1dy, ierr )
	917	#else
	918	c_u_m = c_u_m_l
	919	c_v_m = c_v_m_l
	920	c_w_m = c_w_m_l
	921	#endif
	922
	923	c_u_m = c_u_m / (ny+1)
	924	c_v_m = c_v_m / (ny+1)
	925	c_w_m = c_w_m / (ny+1)
	926
[73]	927	!
[978]	928	!-- Save old timelevels for the next timestep
	929	IF ( intermediate_timestep_count == 1 ) THEN
	930	u_m_l(:,:,:) = u(:,:,1:2)
	931	v_m_l(:,:,:) = v(:,:,0:1)
	932	w_m_l(:,:,:) = w(:,:,0:1)
	933	ENDIF
	934
	935	!
	936	!-- Calculate the new velocities
[996]	937	DO k = nzb+1, nzt+1
[1113]	938	DO j = nysg, nyng
[978]	939	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	940	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	941
[978]	942	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	943	( v(k,j,-1) - v(k,j,0) ) * ddx
	944
[978]	945	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	946	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	947	ENDDO
[75]	948	ENDDO
	949
	950	!
[978]	951	!-- Bottom boundary at the outflow
	952	IF ( ibc_uv_b == 0 ) THEN
[1353]	953	u_p(nzb,:,0) = 0.0_wp
	954	v_p(nzb,:,-1) = 0.0_wp
[978]	955	ELSE
	956	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	957	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	958	ENDIF
[1353]	959	w_p(nzb,:,-1) = 0.0_wp
[1]	960
[75]	961	!
[978]	962	!-- Top boundary at the outflow
	963	IF ( ibc_uv_t == 0 ) THEN
[1764]	964	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	965	v_p(nzt+1,:,-1) = v_init(nzt+1)
	966	ELSE
[1764]	967	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	968	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	969	ENDIF
[1353]	970	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	971
[75]	972	ENDIF
[73]	973
[75]	974	ENDIF
[73]	975
[106]	976	IF ( outflow_r ) THEN
[73]	977
[1159]	978	IF ( use_cmax ) THEN
	979	u_p(:,:,nx+1) = u(:,:,nx)
	980	v_p(:,:,nx+1) = v(:,:,nx)
	981	w_p(:,:,nx+1) = w(:,:,nx)
	982	ELSEIF ( .NOT. use_cmax ) THEN
[75]	983
[978]	984	c_max = dx / dt_3d
[75]	985
[1353]	986	c_u_m_l = 0.0_wp
	987	c_v_m_l = 0.0_wp
	988	c_w_m_l = 0.0_wp
[978]	989
[1353]	990	c_u_m = 0.0_wp
	991	c_v_m = 0.0_wp
	992	c_w_m = 0.0_wp
[978]	993
[1]	994	!
[996]	995	!-- Calculate the phase speeds for u, v, and w, first local and then
	996	!-- average along the outflow boundary.
	997	DO k = nzb+1, nzt+1
	998	DO j = nys, nyn
[73]	999
[106]	1000	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1001
[1353]	1002	IF ( denom /= 0.0_wp ) THEN
[996]	1003	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1004	IF ( c_u(k,j) < 0.0_wp ) THEN
	1005	c_u(k,j) = 0.0_wp
[106]	1006	ELSEIF ( c_u(k,j) > c_max ) THEN
	1007	c_u(k,j) = c_max
	1008	ENDIF
	1009	ELSE
	1010	c_u(k,j) = c_max
[73]	1011	ENDIF
	1012
[106]	1013	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1014
[1353]	1015	IF ( denom /= 0.0_wp ) THEN
[996]	1016	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1017	IF ( c_v(k,j) < 0.0_wp ) THEN
	1018	c_v(k,j) = 0.0_wp
[106]	1019	ELSEIF ( c_v(k,j) > c_max ) THEN
	1020	c_v(k,j) = c_max
	1021	ENDIF
	1022	ELSE
	1023	c_v(k,j) = c_max
[73]	1024	ENDIF
	1025
[106]	1026	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1027
[1353]	1028	IF ( denom /= 0.0_wp ) THEN
[996]	1029	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1030	IF ( c_w(k,j) < 0.0_wp ) THEN
	1031	c_w(k,j) = 0.0_wp
[106]	1032	ELSEIF ( c_w(k,j) > c_max ) THEN
	1033	c_w(k,j) = c_max
	1034	ENDIF
	1035	ELSE
	1036	c_w(k,j) = c_max
[73]	1037	ENDIF
[106]	1038
[978]	1039	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1040	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1041	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1042
[978]	1043	ENDDO
	1044	ENDDO
[73]	1045
[978]	1046	#if defined( __parallel )
	1047	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1048	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1049	MPI_SUM, comm1dy, ierr )
	1050	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1051	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1052	MPI_SUM, comm1dy, ierr )
	1053	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1054	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1055	MPI_SUM, comm1dy, ierr )
	1056	#else
	1057	c_u_m = c_u_m_l
	1058	c_v_m = c_v_m_l
	1059	c_w_m = c_w_m_l
	1060	#endif
	1061
	1062	c_u_m = c_u_m / (ny+1)
	1063	c_v_m = c_v_m / (ny+1)
	1064	c_w_m = c_w_m / (ny+1)
	1065
[73]	1066	!
[978]	1067	!-- Save old timelevels for the next timestep
	1068	IF ( intermediate_timestep_count == 1 ) THEN
	1069	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1070	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1071	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1072	ENDIF
[73]	1073
[978]	1074	!
	1075	!-- Calculate the new velocities
[996]	1076	DO k = nzb+1, nzt+1
[1113]	1077	DO j = nysg, nyng
[978]	1078	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1079	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1080
[978]	1081	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1082	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1083
[978]	1084	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1085	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1086	ENDDO
[73]	1087	ENDDO
	1088
	1089	!
[978]	1090	!-- Bottom boundary at the outflow
	1091	IF ( ibc_uv_b == 0 ) THEN
[1353]	1092	u_p(nzb,:,nx+1) = 0.0_wp
	1093	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1094	ELSE
	1095	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1096	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1097	ENDIF
[1353]	1098	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1099
	1100	!
[978]	1101	!-- Top boundary at the outflow
	1102	IF ( ibc_uv_t == 0 ) THEN
	1103	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1104	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1105	ELSE
	1106	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1107	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1108	ENDIF
[1742]	1109	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1110
[1]	1111	ENDIF
	1112
	1113	ENDIF
	1114
	1115	END SUBROUTINE boundary_conds

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