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source: palm/trunk/SOURCE/boundary_conds.f90 @ 2609

Last change on this file since 2609 was 2569, checked in by kanani, 7 years ago
Removed redundant code in boundary_conds
Property svn:keywords set to `Id`
File size: 39.2 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	! -----------------
[1933]	22	!
[2233]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 2569 2017-10-20 11:54:42Z schwenkel $
[2569]	27	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	28	!
	29	! 2365 2017-08-21 14:59:59Z kanani
[2365]	30	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	31	! on fine grid (SadiqHuq)
	32	!
	33	! 2320 2017-07-21 12:47:43Z suehring
[2320]	34	! Remove unused control parameter large_scale_forcing from only-list
	35	!
	36	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	37	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	38	! includes two more prognostic equations for cloud drop concentration (nc)
	39	! and cloud water content (qc).
	40	!
	41	! 2233 2017-05-30 18:08:54Z suehring
[1321]	42	!
[2233]	43	! 2232 2017-05-30 17:47:52Z suehring
	44	! Set boundary conditions on topography top using flag method.
	45	!
[2119]	46	! 2118 2017-01-17 16:38:49Z raasch
	47	! OpenACC directives removed
	48	!
[2001]	49	! 2000 2016-08-20 18:09:15Z knoop
	50	! Forced header and separation lines into 80 columns
	51	!
[1993]	52	! 1992 2016-08-12 15:14:59Z suehring
	53	! Adjustments for top boundary condition for passive scalar
	54	!
[1961]	55	! 1960 2016-07-12 16:34:24Z suehring
	56	! Treat humidity and passive scalar separately
	57	!
[1933]	58	! 1823 2016-04-07 08:57:52Z hoffmann
	59	! Initial version of purely vertical nesting introduced.
	60	!
[1823]	61	! 1822 2016-04-07 07:49:42Z hoffmann
	62	! icloud_scheme removed. microphyisics_seifert added.
	63	!
[1765]	64	! 1764 2016-02-28 12:45:19Z raasch
	65	! index bug for u_p at left outflow removed
	66	!
[1763]	67	! 1762 2016-02-25 12:31:13Z hellstea
	68	! Introduction of nested domain feature
	69	!
[1744]	70	! 1742 2016-01-13 09:50:06Z raasch
	71	! bugfix for outflow Neumann boundary conditions at bottom and top
	72	!
[1718]	73	! 1717 2015-11-11 15:09:47Z raasch
	74	! Bugfix: index error in outflow conditions for left boundary
	75	!
[1683]	76	! 1682 2015-10-07 23:56:08Z knoop
	77	! Code annotations made doxygen readable
	78	!
[1717]	79	! 1410 2014-05-23 12:16:18Z suehring
[1463]	80	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	81	! top
	82	!
[1410]	83	! 1399 2014-05-07 11:16:25Z heinze
	84	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	85	! is used.
	86	!
[1399]	87	! 1398 2014-05-07 11:15:00Z heinze
	88	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	89	! for large_scale_forcing
	90	!
[1381]	91	! 1380 2014-04-28 12:40:45Z heinze
	92	! Adjust Dirichlet-condition at the top for pt in case of nudging
	93	!
[1362]	94	! 1361 2014-04-16 15:17:48Z hoffmann
	95	! Bottom and top boundary conditions of rain water content (qr) and
	96	! rain drop concentration (nr) changed to Dirichlet
	97	!
[1354]	98	! 1353 2014-04-08 15:21:23Z heinze
	99	! REAL constants provided with KIND-attribute
	100	!
[1321]	101	! 1320 2014-03-20 08:40:49Z raasch
[1320]	102	! ONLY-attribute added to USE-statements,
	103	! kind-parameters added to all INTEGER and REAL declaration statements,
	104	! kinds are defined in new module kinds,
	105	! revision history before 2012 removed,
	106	! comment fields (!:) to be used for variable explanations added to
	107	! all variable declaration statements
[1160]	108	!
[1258]	109	! 1257 2013-11-08 15:18:40Z raasch
	110	! loop independent clauses added
	111	!
[1242]	112	! 1241 2013-10-30 11:36:58Z heinze
	113	! Adjust ug and vg at each timestep in case of large_scale_forcing
	114	!
[1160]	115	! 1159 2013-05-21 11:58:22Z fricke
[1159]	116	! Bugfix: Neumann boundary conditions for the velocity components at the
	117	! outflow are in fact radiation boundary conditions using the maximum phase
	118	! velocity that ensures numerical stability (CFL-condition).
	119	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	120	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	121	! u_p, v_p, w_p
[1116]	122	!
	123	! 1115 2013-03-26 18:16:16Z hoffmann
	124	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	125	! boundary-conditions
	126	!
[1114]	127	! 1113 2013-03-10 02:48:14Z raasch
	128	! GPU-porting
	129	! dummy argument "range" removed
	130	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	131	!
[1054]	132	! 1053 2012-11-13 17:11:03Z hoffmann
	133	! boundary conditions for the two new prognostic equations (nr, qr) of the
	134	! two-moment cloud scheme
	135	!
[1037]	136	! 1036 2012-10-22 13:43:42Z raasch
	137	! code put under GPL (PALM 3.9)
	138	!
[997]	139	! 996 2012-09-07 10:41:47Z raasch
	140	! little reformatting
	141	!
[979]	142	! 978 2012-08-09 08:28:32Z fricke
	143	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	144	! Outflow boundary conditions for the velocity components can be set to Neumann
	145	! conditions or to radiation conditions with a horizontal averaged phase
	146	! velocity.
	147	!
[876]	148	! 875 2012-04-02 15:35:15Z gryschka
	149	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	150	!
[1]	151	! Revision 1.1 1997/09/12 06:21:34 raasch
	152	! Initial revision
	153	!
	154	!
	155	! Description:
	156	! ------------
[1682]	157	!> Boundary conditions for the prognostic quantities.
	158	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	159	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	160	!> handled in routine exchange_horiz. Pressure boundary conditions are
	161	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	162	!------------------------------------------------------------------------------!
[1682]	163	SUBROUTINE boundary_conds
	164
[1]	165
[1320]	166	USE arrays_3d, &
	167	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, &
[2292]	168	dzu, e_p, nc_p, nr_p, pt, pt_p, q, q_p, qc_p, qr_p, s, s_p, sa, &
	169	sa_p, u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
[1320]	170	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[1960]	171	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
[2292]	172
[1320]	173	USE control_parameters, &
[1960]	174	ONLY: bc_pt_t_val, bc_q_t_val, bc_s_t_val, constant_diffusion, &
[2365]	175	cloud_physics, coupling_mode, dt_3d, humidity, &
[1960]	176	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
	177	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
[2320]	178	inflow_s, intermediate_timestep_count, &
[2292]	179	microphysics_morrison, microphysics_seifert, nest_domain, &
	180	nest_bound_l, nest_bound_s, nudging, ocean, outflow_l, &
	181	outflow_n, outflow_r, outflow_s, passive_scalar, tsc, use_cmax
[1320]	182
	183	USE grid_variables, &
	184	ONLY: ddx, ddy, dx, dy
	185
	186	USE indices, &
	187	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
[2232]	188	nzb, nzt, wall_flags_0
[1320]	189
	190	USE kinds
	191
[1]	192	USE pegrid
	193
[1933]	194	USE pmc_interface, &
	195	ONLY : nesting_mode
[1320]	196
[2232]	197	USE surface_mod, &
	198	ONLY : bc_h
[1933]	199
[1]	200	IMPLICIT NONE
	201
[2232]	202	INTEGER(iwp) :: i !< grid index x direction
	203	INTEGER(iwp) :: j !< grid index y direction
	204	INTEGER(iwp) :: k !< grid index z direction
	205	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	206	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	207	INTEGER(iwp) :: m !< running index surface elements
[1]	208
[1682]	209	REAL(wp) :: c_max !<
	210	REAL(wp) :: denom !<
[1]	211
[73]	212
[1]	213	!
[1113]	214	!-- Bottom boundary
	215	IF ( ibc_uv_b == 1 ) THEN
	216	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	217	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	218	ENDIF
[2232]	219	!
	220	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	221	!-- of downward-facing surfaces.
	222	DO l = 0, 1
	223	!
	224	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	225	!-- for downward-facing surfaces at topography bottom (k+1).
	226	kb = MERGE( -1, 1, l == 0 )
	227	!$OMP PARALLEL DO PRIVATE( i, j, k )
	228	DO m = 1, bc_h(l)%ns
	229	i = bc_h(l)%i(m)
	230	j = bc_h(l)%j(m)
	231	k = bc_h(l)%k(m)
	232	w_p(k+kb,j,i) = 0.0_wp
[1113]	233	ENDDO
	234	ENDDO
	235
	236	!
[1762]	237	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	238	IF ( ibc_uv_t == 0 ) THEN
	239	u_p(nzt+1,:,:) = u_init(nzt+1)
	240	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	241	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	242	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	243	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	244	ENDIF
	245
[2365]	246	!
	247	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
	248	IF ( .NOT. nest_domain .AND. &
	249	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
	250	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[1762]	251	ENDIF
	252
[1113]	253	!
[2232]	254	!-- Temperature at bottom and top boundary.
[1113]	255	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	256	!-- the sea surface temperature of the coupled ocean model.
[2232]	257	!-- Dirichlet
[1113]	258	IF ( ibc_pt_b == 0 ) THEN
[2232]	259	DO l = 0, 1
	260	!
	261	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	262	!-- for downward-facing surfaces at topography bottom (k+1).
	263	kb = MERGE( -1, 1, l == 0 )
	264	!$OMP PARALLEL DO PRIVATE( i, j, k )
	265	DO m = 1, bc_h(l)%ns
	266	i = bc_h(l)%i(m)
	267	j = bc_h(l)%j(m)
	268	k = bc_h(l)%k(m)
	269	pt_p(k+kb,j,i) = pt(k+kb,j,i)
[1]	270	ENDDO
	271	ENDDO
[2232]	272	!
	273	!-- Neumann, zero-gradient
[1113]	274	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	275	DO l = 0, 1
	276	!
	277	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	278	!-- for downward-facing surfaces at topography bottom (k+1).
	279	kb = MERGE( -1, 1, l == 0 )
	280	!$OMP PARALLEL DO PRIVATE( i, j, k )
	281	DO m = 1, bc_h(l)%ns
	282	i = bc_h(l)%i(m)
	283	j = bc_h(l)%j(m)
	284	k = bc_h(l)%k(m)
	285	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	286	ENDDO
	287	ENDDO
	288	ENDIF
[1]	289
	290	!
[1113]	291	!-- Temperature at top boundary
	292	IF ( ibc_pt_t == 0 ) THEN
	293	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	294	!
	295	!-- In case of nudging adjust top boundary to pt which is
	296	!-- read in from NUDGING-DATA
	297	IF ( nudging ) THEN
	298	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	299	ENDIF
[1113]	300	ELSEIF ( ibc_pt_t == 1 ) THEN
	301	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	302	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	303	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	304	ENDIF
[1]	305
	306	!
[1113]	307	!-- Boundary conditions for TKE
	308	!-- Generally Neumann conditions with de/dz=0 are assumed
	309	IF ( .NOT. constant_diffusion ) THEN
[2232]	310
	311	DO l = 0, 1
	312	!
	313	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	314	!-- for downward-facing surfaces at topography bottom (k+1).
	315	kb = MERGE( -1, 1, l == 0 )
	316	!$OMP PARALLEL DO PRIVATE( i, j, k )
	317	DO m = 1, bc_h(l)%ns
	318	i = bc_h(l)%i(m)
	319	j = bc_h(l)%j(m)
	320	k = bc_h(l)%k(m)
	321	e_p(k+kb,j,i) = e_p(k,j,i)
[73]	322	ENDDO
[1113]	323	ENDDO
[2232]	324
[1762]	325	IF ( .NOT. nest_domain ) THEN
	326	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	327	ENDIF
[1113]	328	ENDIF
	329
	330	!
	331	!-- Boundary conditions for salinity
	332	IF ( ocean ) THEN
	333	!
	334	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	335	!-- given.
	336	DO l = 0, 1
	337	!
	338	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	339	!-- for downward-facing surfaces at topography bottom (k+1).
	340	kb = MERGE( -1, 1, l == 0 )
	341	!$OMP PARALLEL DO PRIVATE( i, j, k )
	342	DO m = 1, bc_h(l)%ns
	343	i = bc_h(l)%i(m)
	344	j = bc_h(l)%j(m)
	345	k = bc_h(l)%k(m)
	346	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	347	ENDDO
[1113]	348	ENDDO
[1]	349	!
[1113]	350	!-- Top boundary: Dirichlet or Neumann
	351	IF ( ibc_sa_t == 0 ) THEN
	352	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	353	ELSEIF ( ibc_sa_t == 1 ) THEN
	354	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	355	ENDIF
	356
[1113]	357	ENDIF
	358
[1]	359	!
[1960]	360	!-- Boundary conditions for total water content,
[1113]	361	!-- bottom and top boundary (see also temperature)
[1960]	362	IF ( humidity ) THEN
[1113]	363	!
	364	!-- Surface conditions for constant_humidity_flux
[2232]	365	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	366	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	367	!-- q_p at k-1
[1113]	368	IF ( ibc_q_b == 0 ) THEN
[2232]	369
	370	DO l = 0, 1
	371	!
	372	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	373	!-- for downward-facing surfaces at topography bottom (k+1).
	374	kb = MERGE( -1, 1, l == 0 )
	375	!$OMP PARALLEL DO PRIVATE( i, j, k )
	376	DO m = 1, bc_h(l)%ns
	377	i = bc_h(l)%i(m)
	378	j = bc_h(l)%j(m)
	379	k = bc_h(l)%k(m)
	380	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	381	ENDDO
	382	ENDDO
[2232]	383
[1113]	384	ELSE
[2232]	385
	386	DO l = 0, 1
	387	!
	388	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	389	!-- for downward-facing surfaces at topography bottom (k+1).
	390	kb = MERGE( -1, 1, l == 0 )
	391	!$OMP PARALLEL DO PRIVATE( i, j, k )
	392	DO m = 1, bc_h(l)%ns
	393	i = bc_h(l)%i(m)
	394	j = bc_h(l)%j(m)
	395	k = bc_h(l)%k(m)
	396	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	397	ENDDO
	398	ENDDO
[1113]	399	ENDIF
[95]	400	!
[1113]	401	!-- Top boundary
[1462]	402	IF ( ibc_q_t == 0 ) THEN
	403	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	404	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	405	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	406	ENDIF
[95]	407
[2292]	408	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	409	!
	410	!-- Surface conditions cloud water (Dirichlet)
	411	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	412	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	413	!-- qr_p and nr_p at k-1
	414	!$OMP PARALLEL DO PRIVATE( i, j, k )
	415	DO m = 1, bc_h(0)%ns
	416	i = bc_h(0)%i(m)
	417	j = bc_h(0)%j(m)
	418	k = bc_h(0)%k(m)
	419	qc_p(k-1,j,i) = 0.0_wp
	420	nc_p(k-1,j,i) = 0.0_wp
	421	ENDDO
	422	!
	423	!-- Top boundary condition for cloud water (Dirichlet)
	424	qc_p(nzt+1,:,:) = 0.0_wp
	425	nc_p(nzt+1,:,:) = 0.0_wp
	426
	427	ENDIF
	428
[1822]	429	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1113]	430	!
[1361]	431	!-- Surface conditions rain water (Dirichlet)
[2232]	432	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	433	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	434	!-- qr_p and nr_p at k-1
	435	!$OMP PARALLEL DO PRIVATE( i, j, k )
	436	DO m = 1, bc_h(0)%ns
	437	i = bc_h(0)%i(m)
	438	j = bc_h(0)%j(m)
	439	k = bc_h(0)%k(m)
	440	qr_p(k-1,j,i) = 0.0_wp
	441	nr_p(k-1,j,i) = 0.0_wp
[1115]	442	ENDDO
[1]	443	!
[1361]	444	!-- Top boundary condition for rain water (Dirichlet)
	445	qr_p(nzt+1,:,:) = 0.0_wp
	446	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	447
[1]	448	ENDIF
[1409]	449	ENDIF
[1]	450	!
[1960]	451	!-- Boundary conditions for scalar,
	452	!-- bottom and top boundary (see also temperature)
	453	IF ( passive_scalar ) THEN
	454	!
	455	!-- Surface conditions for constant_humidity_flux
[2232]	456	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	457	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	458	!-- s_p at k-1
[1960]	459	IF ( ibc_s_b == 0 ) THEN
[2232]	460
	461	DO l = 0, 1
	462	!
	463	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	464	!-- for downward-facing surfaces at topography bottom (k+1).
	465	kb = MERGE( -1, 1, l == 0 )
	466	!$OMP PARALLEL DO PRIVATE( i, j, k )
	467	DO m = 1, bc_h(l)%ns
	468	i = bc_h(l)%i(m)
	469	j = bc_h(l)%j(m)
	470	k = bc_h(l)%k(m)
	471	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	472	ENDDO
	473	ENDDO
[2232]	474
[1960]	475	ELSE
[2232]	476
	477	DO l = 0, 1
	478	!
	479	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	480	!-- for downward-facing surfaces at topography bottom (k+1).
	481	kb = MERGE( -1, 1, l == 0 )
	482	!$OMP PARALLEL DO PRIVATE( i, j, k )
	483	DO m = 1, bc_h(l)%ns
	484	i = bc_h(l)%i(m)
	485	j = bc_h(l)%j(m)
	486	k = bc_h(l)%k(m)
	487	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	488	ENDDO
	489	ENDDO
	490	ENDIF
	491	!
[1992]	492	!-- Top boundary condition
	493	IF ( ibc_s_t == 0 ) THEN
[1960]	494	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	495	ELSEIF ( ibc_s_t == 1 ) THEN
	496	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	497	ELSEIF ( ibc_s_t == 2 ) THEN
	498	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	499	ENDIF
	500
	501	ENDIF
	502	!
[1762]	503	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	504	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	505	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	506	!-- version) these levels are handled as a prognostic level, boundary values
	507	!-- have to be restored here.
[1409]	508	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	509	IF ( inflow_s ) THEN
	510	v_p(:,nys,:) = v_p(:,nys-1,:)
	511	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	512	ELSEIF ( inflow_n ) THEN
	513	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	514	ELSEIF ( inflow_l ) THEN
	515	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	516	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	517	ELSEIF ( inflow_r ) THEN
	518	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	519	ENDIF
[1]	520
	521	!
[1762]	522	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	523	!-- in case of nest boundaries. This must not be done in case of vertical nesting
	524	!-- mode as in that case the lateral boundaries are actually cyclic.
	525	IF ( nesting_mode /= 'vertical' ) THEN
	526	IF ( nest_bound_s ) THEN
	527	v_p(:,nys,:) = v_p(:,nys-1,:)
	528	ENDIF
	529	IF ( nest_bound_l ) THEN
	530	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	531	ENDIF
[1762]	532	ENDIF
	533
	534	!
[1409]	535	!-- Lateral boundary conditions for scalar quantities at the outflow
	536	IF ( outflow_s ) THEN
	537	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	538	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[1960]	539	IF ( humidity ) THEN
[1409]	540	q_p(:,nys-1,:) = q_p(:,nys,:)
[2292]	541	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	542	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	543	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	544	ENDIF
[1822]	545	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	546	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	547	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	548	ENDIF
[1409]	549	ENDIF
[1960]	550	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[1409]	551	ELSEIF ( outflow_n ) THEN
	552	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	553	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1960]	554	IF ( humidity ) THEN
[1409]	555	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[2292]	556	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	557	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	558	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	559	ENDIF
[1822]	560	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	561	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	562	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	563	ENDIF
[1409]	564	ENDIF
[1960]	565	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[1409]	566	ELSEIF ( outflow_l ) THEN
	567	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	568	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[1960]	569	IF ( humidity ) THEN
[1409]	570	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[2292]	571	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	572	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	573	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	574	ENDIF
[1822]	575	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	576	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	577	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	578	ENDIF
[1409]	579	ENDIF
[1960]	580	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[1409]	581	ELSEIF ( outflow_r ) THEN
	582	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	583	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1960]	584	IF ( humidity ) THEN
[1409]	585	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[2292]	586	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	587	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	588	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	589	ENDIF
[1822]	590	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	591	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	592	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	593	ENDIF
[1]	594	ENDIF
[1960]	595	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	596	ENDIF
	597
	598	!
[1159]	599	!-- Radiation boundary conditions for the velocities at the respective outflow.
	600	!-- The phase velocity is either assumed to the maximum phase velocity that
	601	!-- ensures numerical stability (CFL-condition) or calculated after
	602	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	603	IF ( outflow_s ) THEN
[75]	604
[1159]	605	IF ( use_cmax ) THEN
	606	u_p(:,-1,:) = u(:,0,:)
	607	v_p(:,0,:) = v(:,1,:)
	608	w_p(:,-1,:) = w(:,0,:)
	609	ELSEIF ( .NOT. use_cmax ) THEN
[75]	610
[978]	611	c_max = dy / dt_3d
[75]	612
[1353]	613	c_u_m_l = 0.0_wp
	614	c_v_m_l = 0.0_wp
	615	c_w_m_l = 0.0_wp
[978]	616
[1353]	617	c_u_m = 0.0_wp
	618	c_v_m = 0.0_wp
	619	c_w_m = 0.0_wp
[978]	620
[75]	621	!
[996]	622	!-- Calculate the phase speeds for u, v, and w, first local and then
	623	!-- average along the outflow boundary.
	624	DO k = nzb+1, nzt+1
	625	DO i = nxl, nxr
[75]	626
[106]	627	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	628
[1353]	629	IF ( denom /= 0.0_wp ) THEN
[996]	630	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	631	IF ( c_u(k,i) < 0.0_wp ) THEN
	632	c_u(k,i) = 0.0_wp
[106]	633	ELSEIF ( c_u(k,i) > c_max ) THEN
	634	c_u(k,i) = c_max
	635	ENDIF
	636	ELSE
	637	c_u(k,i) = c_max
[75]	638	ENDIF
	639
[106]	640	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	641
[1353]	642	IF ( denom /= 0.0_wp ) THEN
[996]	643	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	644	IF ( c_v(k,i) < 0.0_wp ) THEN
	645	c_v(k,i) = 0.0_wp
[106]	646	ELSEIF ( c_v(k,i) > c_max ) THEN
	647	c_v(k,i) = c_max
	648	ENDIF
	649	ELSE
	650	c_v(k,i) = c_max
[75]	651	ENDIF
	652
[106]	653	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	654
[1353]	655	IF ( denom /= 0.0_wp ) THEN
[996]	656	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	657	IF ( c_w(k,i) < 0.0_wp ) THEN
	658	c_w(k,i) = 0.0_wp
[106]	659	ELSEIF ( c_w(k,i) > c_max ) THEN
	660	c_w(k,i) = c_max
	661	ENDIF
	662	ELSE
	663	c_w(k,i) = c_max
[75]	664	ENDIF
[106]	665
[978]	666	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	667	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	668	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	669
[978]	670	ENDDO
	671	ENDDO
[75]	672
[978]	673	#if defined( __parallel )
	674	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	675	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_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_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	679	MPI_SUM, comm1dx, ierr )
	680	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	681	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	682	MPI_SUM, comm1dx, ierr )
	683	#else
	684	c_u_m = c_u_m_l
	685	c_v_m = c_v_m_l
	686	c_w_m = c_w_m_l
	687	#endif
	688
	689	c_u_m = c_u_m / (nx+1)
	690	c_v_m = c_v_m / (nx+1)
	691	c_w_m = c_w_m / (nx+1)
	692
[75]	693	!
[978]	694	!-- Save old timelevels for the next timestep
	695	IF ( intermediate_timestep_count == 1 ) THEN
	696	u_m_s(:,:,:) = u(:,0:1,:)
	697	v_m_s(:,:,:) = v(:,1:2,:)
	698	w_m_s(:,:,:) = w(:,0:1,:)
	699	ENDIF
	700
	701	!
	702	!-- Calculate the new velocities
[996]	703	DO k = nzb+1, nzt+1
	704	DO i = nxlg, nxrg
[978]	705	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	706	( u(k,-1,i) - u(k,0,i) ) * ddy
	707
[978]	708	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	709	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	710
[978]	711	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	712	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	713	ENDDO
[75]	714	ENDDO
	715
	716	!
[978]	717	!-- Bottom boundary at the outflow
	718	IF ( ibc_uv_b == 0 ) THEN
[1353]	719	u_p(nzb,-1,:) = 0.0_wp
	720	v_p(nzb,0,:) = 0.0_wp
[978]	721	ELSE
	722	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	723	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	724	ENDIF
[1353]	725	w_p(nzb,-1,:) = 0.0_wp
[73]	726
[75]	727	!
[978]	728	!-- Top boundary at the outflow
	729	IF ( ibc_uv_t == 0 ) THEN
	730	u_p(nzt+1,-1,:) = u_init(nzt+1)
	731	v_p(nzt+1,0,:) = v_init(nzt+1)
	732	ELSE
[1742]	733	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	734	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	735	ENDIF
[1353]	736	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	737
[75]	738	ENDIF
[73]	739
[75]	740	ENDIF
[73]	741
[106]	742	IF ( outflow_n ) THEN
[73]	743
[1159]	744	IF ( use_cmax ) THEN
	745	u_p(:,ny+1,:) = u(:,ny,:)
	746	v_p(:,ny+1,:) = v(:,ny,:)
	747	w_p(:,ny+1,:) = w(:,ny,:)
	748	ELSEIF ( .NOT. use_cmax ) THEN
[75]	749
[978]	750	c_max = dy / dt_3d
[75]	751
[1353]	752	c_u_m_l = 0.0_wp
	753	c_v_m_l = 0.0_wp
	754	c_w_m_l = 0.0_wp
[978]	755
[1353]	756	c_u_m = 0.0_wp
	757	c_v_m = 0.0_wp
	758	c_w_m = 0.0_wp
[978]	759
[1]	760	!
[996]	761	!-- Calculate the phase speeds for u, v, and w, first local and then
	762	!-- average along the outflow boundary.
	763	DO k = nzb+1, nzt+1
	764	DO i = nxl, nxr
[73]	765
[106]	766	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	767
[1353]	768	IF ( denom /= 0.0_wp ) THEN
[996]	769	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	770	IF ( c_u(k,i) < 0.0_wp ) THEN
	771	c_u(k,i) = 0.0_wp
[106]	772	ELSEIF ( c_u(k,i) > c_max ) THEN
	773	c_u(k,i) = c_max
	774	ENDIF
	775	ELSE
	776	c_u(k,i) = c_max
[73]	777	ENDIF
	778
[106]	779	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	780
[1353]	781	IF ( denom /= 0.0_wp ) THEN
[996]	782	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	783	IF ( c_v(k,i) < 0.0_wp ) THEN
	784	c_v(k,i) = 0.0_wp
[106]	785	ELSEIF ( c_v(k,i) > c_max ) THEN
	786	c_v(k,i) = c_max
	787	ENDIF
	788	ELSE
	789	c_v(k,i) = c_max
[73]	790	ENDIF
	791
[106]	792	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	793
[1353]	794	IF ( denom /= 0.0_wp ) THEN
[996]	795	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	796	IF ( c_w(k,i) < 0.0_wp ) THEN
	797	c_w(k,i) = 0.0_wp
[106]	798	ELSEIF ( c_w(k,i) > c_max ) THEN
	799	c_w(k,i) = c_max
	800	ENDIF
	801	ELSE
	802	c_w(k,i) = c_max
[73]	803	ENDIF
[106]	804
[978]	805	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	806	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	807	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	808
[978]	809	ENDDO
	810	ENDDO
[73]	811
[978]	812	#if defined( __parallel )
	813	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	814	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	815	MPI_SUM, comm1dx, ierr )
	816	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	817	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	818	MPI_SUM, comm1dx, ierr )
	819	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	820	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	821	MPI_SUM, comm1dx, ierr )
	822	#else
	823	c_u_m = c_u_m_l
	824	c_v_m = c_v_m_l
	825	c_w_m = c_w_m_l
	826	#endif
	827
	828	c_u_m = c_u_m / (nx+1)
	829	c_v_m = c_v_m / (nx+1)
	830	c_w_m = c_w_m / (nx+1)
	831
[73]	832	!
[978]	833	!-- Save old timelevels for the next timestep
	834	IF ( intermediate_timestep_count == 1 ) THEN
	835	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	836	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	837	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	838	ENDIF
[73]	839
[978]	840	!
	841	!-- Calculate the new velocities
[996]	842	DO k = nzb+1, nzt+1
	843	DO i = nxlg, nxrg
[978]	844	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	845	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	846
[978]	847	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	848	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	849
[978]	850	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	851	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	852	ENDDO
[1]	853	ENDDO
	854
	855	!
[978]	856	!-- Bottom boundary at the outflow
	857	IF ( ibc_uv_b == 0 ) THEN
[1353]	858	u_p(nzb,ny+1,:) = 0.0_wp
	859	v_p(nzb,ny+1,:) = 0.0_wp
[978]	860	ELSE
	861	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	862	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	863	ENDIF
[1353]	864	w_p(nzb,ny+1,:) = 0.0_wp
[73]	865
	866	!
[978]	867	!-- Top boundary at the outflow
	868	IF ( ibc_uv_t == 0 ) THEN
	869	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	870	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	871	ELSE
	872	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	873	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	874	ENDIF
[1353]	875	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	876
[1]	877	ENDIF
	878
[75]	879	ENDIF
	880
[106]	881	IF ( outflow_l ) THEN
[75]	882
[1159]	883	IF ( use_cmax ) THEN
[1717]	884	u_p(:,:,0) = u(:,:,1)
	885	v_p(:,:,-1) = v(:,:,0)
[1159]	886	w_p(:,:,-1) = w(:,:,0)
	887	ELSEIF ( .NOT. use_cmax ) THEN
[75]	888
[978]	889	c_max = dx / dt_3d
[75]	890
[1353]	891	c_u_m_l = 0.0_wp
	892	c_v_m_l = 0.0_wp
	893	c_w_m_l = 0.0_wp
[978]	894
[1353]	895	c_u_m = 0.0_wp
	896	c_v_m = 0.0_wp
	897	c_w_m = 0.0_wp
[978]	898
[1]	899	!
[996]	900	!-- Calculate the phase speeds for u, v, and w, first local and then
	901	!-- average along the outflow boundary.
	902	DO k = nzb+1, nzt+1
	903	DO j = nys, nyn
[75]	904
[106]	905	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	906
[1353]	907	IF ( denom /= 0.0_wp ) THEN
[996]	908	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	909	IF ( c_u(k,j) < 0.0_wp ) THEN
	910	c_u(k,j) = 0.0_wp
[107]	911	ELSEIF ( c_u(k,j) > c_max ) THEN
	912	c_u(k,j) = c_max
[106]	913	ENDIF
	914	ELSE
[107]	915	c_u(k,j) = c_max
[75]	916	ENDIF
	917
[106]	918	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	919
[1353]	920	IF ( denom /= 0.0_wp ) THEN
[996]	921	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	922	IF ( c_v(k,j) < 0.0_wp ) THEN
	923	c_v(k,j) = 0.0_wp
[106]	924	ELSEIF ( c_v(k,j) > c_max ) THEN
	925	c_v(k,j) = c_max
	926	ENDIF
	927	ELSE
	928	c_v(k,j) = c_max
[75]	929	ENDIF
	930
[106]	931	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	932
[1353]	933	IF ( denom /= 0.0_wp ) THEN
[996]	934	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	935	IF ( c_w(k,j) < 0.0_wp ) THEN
	936	c_w(k,j) = 0.0_wp
[106]	937	ELSEIF ( c_w(k,j) > c_max ) THEN
	938	c_w(k,j) = c_max
	939	ENDIF
	940	ELSE
	941	c_w(k,j) = c_max
[75]	942	ENDIF
[106]	943
[978]	944	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	945	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	946	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	947
[978]	948	ENDDO
	949	ENDDO
[75]	950
[978]	951	#if defined( __parallel )
	952	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	953	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_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_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	957	MPI_SUM, comm1dy, ierr )
	958	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	959	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	960	MPI_SUM, comm1dy, ierr )
	961	#else
	962	c_u_m = c_u_m_l
	963	c_v_m = c_v_m_l
	964	c_w_m = c_w_m_l
	965	#endif
	966
	967	c_u_m = c_u_m / (ny+1)
	968	c_v_m = c_v_m / (ny+1)
	969	c_w_m = c_w_m / (ny+1)
	970
[73]	971	!
[978]	972	!-- Save old timelevels for the next timestep
	973	IF ( intermediate_timestep_count == 1 ) THEN
	974	u_m_l(:,:,:) = u(:,:,1:2)
	975	v_m_l(:,:,:) = v(:,:,0:1)
	976	w_m_l(:,:,:) = w(:,:,0:1)
	977	ENDIF
	978
	979	!
	980	!-- Calculate the new velocities
[996]	981	DO k = nzb+1, nzt+1
[1113]	982	DO j = nysg, nyng
[978]	983	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	984	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	985
[978]	986	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	987	( v(k,j,-1) - v(k,j,0) ) * ddx
	988
[978]	989	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	990	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	991	ENDDO
[75]	992	ENDDO
	993
	994	!
[978]	995	!-- Bottom boundary at the outflow
	996	IF ( ibc_uv_b == 0 ) THEN
[1353]	997	u_p(nzb,:,0) = 0.0_wp
	998	v_p(nzb,:,-1) = 0.0_wp
[978]	999	ELSE
	1000	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1001	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1002	ENDIF
[1353]	1003	w_p(nzb,:,-1) = 0.0_wp
[1]	1004
[75]	1005	!
[978]	1006	!-- Top boundary at the outflow
	1007	IF ( ibc_uv_t == 0 ) THEN
[1764]	1008	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1009	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1010	ELSE
[1764]	1011	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1012	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1013	ENDIF
[1353]	1014	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1015
[75]	1016	ENDIF
[73]	1017
[75]	1018	ENDIF
[73]	1019
[106]	1020	IF ( outflow_r ) THEN
[73]	1021
[1159]	1022	IF ( use_cmax ) THEN
	1023	u_p(:,:,nx+1) = u(:,:,nx)
	1024	v_p(:,:,nx+1) = v(:,:,nx)
	1025	w_p(:,:,nx+1) = w(:,:,nx)
	1026	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1027
[978]	1028	c_max = dx / dt_3d
[75]	1029
[1353]	1030	c_u_m_l = 0.0_wp
	1031	c_v_m_l = 0.0_wp
	1032	c_w_m_l = 0.0_wp
[978]	1033
[1353]	1034	c_u_m = 0.0_wp
	1035	c_v_m = 0.0_wp
	1036	c_w_m = 0.0_wp
[978]	1037
[1]	1038	!
[996]	1039	!-- Calculate the phase speeds for u, v, and w, first local and then
	1040	!-- average along the outflow boundary.
	1041	DO k = nzb+1, nzt+1
	1042	DO j = nys, nyn
[73]	1043
[106]	1044	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1045
[1353]	1046	IF ( denom /= 0.0_wp ) THEN
[996]	1047	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1048	IF ( c_u(k,j) < 0.0_wp ) THEN
	1049	c_u(k,j) = 0.0_wp
[106]	1050	ELSEIF ( c_u(k,j) > c_max ) THEN
	1051	c_u(k,j) = c_max
	1052	ENDIF
	1053	ELSE
	1054	c_u(k,j) = c_max
[73]	1055	ENDIF
	1056
[106]	1057	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1058
[1353]	1059	IF ( denom /= 0.0_wp ) THEN
[996]	1060	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1061	IF ( c_v(k,j) < 0.0_wp ) THEN
	1062	c_v(k,j) = 0.0_wp
[106]	1063	ELSEIF ( c_v(k,j) > c_max ) THEN
	1064	c_v(k,j) = c_max
	1065	ENDIF
	1066	ELSE
	1067	c_v(k,j) = c_max
[73]	1068	ENDIF
	1069
[106]	1070	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1071
[1353]	1072	IF ( denom /= 0.0_wp ) THEN
[996]	1073	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1074	IF ( c_w(k,j) < 0.0_wp ) THEN
	1075	c_w(k,j) = 0.0_wp
[106]	1076	ELSEIF ( c_w(k,j) > c_max ) THEN
	1077	c_w(k,j) = c_max
	1078	ENDIF
	1079	ELSE
	1080	c_w(k,j) = c_max
[73]	1081	ENDIF
[106]	1082
[978]	1083	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1084	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1085	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1086
[978]	1087	ENDDO
	1088	ENDDO
[73]	1089
[978]	1090	#if defined( __parallel )
	1091	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1092	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1093	MPI_SUM, comm1dy, ierr )
	1094	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1095	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1096	MPI_SUM, comm1dy, ierr )
	1097	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1098	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1099	MPI_SUM, comm1dy, ierr )
	1100	#else
	1101	c_u_m = c_u_m_l
	1102	c_v_m = c_v_m_l
	1103	c_w_m = c_w_m_l
	1104	#endif
	1105
	1106	c_u_m = c_u_m / (ny+1)
	1107	c_v_m = c_v_m / (ny+1)
	1108	c_w_m = c_w_m / (ny+1)
	1109
[73]	1110	!
[978]	1111	!-- Save old timelevels for the next timestep
	1112	IF ( intermediate_timestep_count == 1 ) THEN
	1113	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1114	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1115	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1116	ENDIF
[73]	1117
[978]	1118	!
	1119	!-- Calculate the new velocities
[996]	1120	DO k = nzb+1, nzt+1
[1113]	1121	DO j = nysg, nyng
[978]	1122	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1123	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1124
[978]	1125	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1126	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1127
[978]	1128	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1129	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1130	ENDDO
[73]	1131	ENDDO
	1132
	1133	!
[978]	1134	!-- Bottom boundary at the outflow
	1135	IF ( ibc_uv_b == 0 ) THEN
[1353]	1136	u_p(nzb,:,nx+1) = 0.0_wp
	1137	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1138	ELSE
	1139	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1140	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1141	ENDIF
[1353]	1142	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1143
	1144	!
[978]	1145	!-- Top boundary at the outflow
	1146	IF ( ibc_uv_t == 0 ) THEN
	1147	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1148	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1149	ELSE
	1150	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1151	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1152	ENDIF
[1742]	1153	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1154
[1]	1155	ENDIF
	1156
	1157	ENDIF
	1158
	1159	END SUBROUTINE boundary_conds

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