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source: palm/trunk/SOURCE/boundary_conds.f90 @ 2709

Last change on this file since 2709 was 2696, checked in by kanani, 7 years ago
Merge of branch palm4u into trunk
Property svn:keywords set to `Id`
File size: 40.5 KB

Rev	Line
[1682]	1	!> @file boundary_conds.f90
[2000]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1036]	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 2696 2017-12-14 17:12:51Z suehring $
[2696]	27	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
	28	! Implementation of chemistry module (FK)
	29	!
	30	! 2569 2017-10-20 11:54:42Z kanani
[2569]	31	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	32	!
	33	! 2365 2017-08-21 14:59:59Z kanani
[2365]	34	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	35	! on fine grid (SadiqHuq)
	36	!
	37	! 2320 2017-07-21 12:47:43Z suehring
[2320]	38	! Remove unused control parameter large_scale_forcing from only-list
	39	!
	40	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	41	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	42	! includes two more prognostic equations for cloud drop concentration (nc)
	43	! and cloud water content (qc).
	44	!
	45	! 2233 2017-05-30 18:08:54Z suehring
[1321]	46	!
[2233]	47	! 2232 2017-05-30 17:47:52Z suehring
	48	! Set boundary conditions on topography top using flag method.
	49	!
[2119]	50	! 2118 2017-01-17 16:38:49Z raasch
	51	! OpenACC directives removed
	52	!
[2001]	53	! 2000 2016-08-20 18:09:15Z knoop
	54	! Forced header and separation lines into 80 columns
	55	!
[1993]	56	! 1992 2016-08-12 15:14:59Z suehring
	57	! Adjustments for top boundary condition for passive scalar
	58	!
[1961]	59	! 1960 2016-07-12 16:34:24Z suehring
	60	! Treat humidity and passive scalar separately
	61	!
[1933]	62	! 1823 2016-04-07 08:57:52Z hoffmann
	63	! Initial version of purely vertical nesting introduced.
	64	!
[1823]	65	! 1822 2016-04-07 07:49:42Z hoffmann
	66	! icloud_scheme removed. microphyisics_seifert added.
	67	!
[1765]	68	! 1764 2016-02-28 12:45:19Z raasch
	69	! index bug for u_p at left outflow removed
	70	!
[1763]	71	! 1762 2016-02-25 12:31:13Z hellstea
	72	! Introduction of nested domain feature
	73	!
[1744]	74	! 1742 2016-01-13 09:50:06Z raasch
	75	! bugfix for outflow Neumann boundary conditions at bottom and top
	76	!
[1718]	77	! 1717 2015-11-11 15:09:47Z raasch
	78	! Bugfix: index error in outflow conditions for left boundary
	79	!
[1683]	80	! 1682 2015-10-07 23:56:08Z knoop
	81	! Code annotations made doxygen readable
	82	!
[1717]	83	! 1410 2014-05-23 12:16:18Z suehring
[1463]	84	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	85	! top
	86	!
[1410]	87	! 1399 2014-05-07 11:16:25Z heinze
	88	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	89	! is used.
	90	!
[1399]	91	! 1398 2014-05-07 11:15:00Z heinze
	92	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	93	! for large_scale_forcing
	94	!
[1381]	95	! 1380 2014-04-28 12:40:45Z heinze
	96	! Adjust Dirichlet-condition at the top for pt in case of nudging
	97	!
[1362]	98	! 1361 2014-04-16 15:17:48Z hoffmann
	99	! Bottom and top boundary conditions of rain water content (qr) and
	100	! rain drop concentration (nr) changed to Dirichlet
	101	!
[1354]	102	! 1353 2014-04-08 15:21:23Z heinze
	103	! REAL constants provided with KIND-attribute
	104	!
[1321]	105	! 1320 2014-03-20 08:40:49Z raasch
[1320]	106	! ONLY-attribute added to USE-statements,
	107	! kind-parameters added to all INTEGER and REAL declaration statements,
	108	! kinds are defined in new module kinds,
	109	! revision history before 2012 removed,
	110	! comment fields (!:) to be used for variable explanations added to
	111	! all variable declaration statements
[1160]	112	!
[1258]	113	! 1257 2013-11-08 15:18:40Z raasch
	114	! loop independent clauses added
	115	!
[1242]	116	! 1241 2013-10-30 11:36:58Z heinze
	117	! Adjust ug and vg at each timestep in case of large_scale_forcing
	118	!
[1160]	119	! 1159 2013-05-21 11:58:22Z fricke
[1159]	120	! Bugfix: Neumann boundary conditions for the velocity components at the
	121	! outflow are in fact radiation boundary conditions using the maximum phase
	122	! velocity that ensures numerical stability (CFL-condition).
	123	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	124	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	125	! u_p, v_p, w_p
[1116]	126	!
	127	! 1115 2013-03-26 18:16:16Z hoffmann
	128	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	129	! boundary-conditions
	130	!
[1114]	131	! 1113 2013-03-10 02:48:14Z raasch
	132	! GPU-porting
	133	! dummy argument "range" removed
	134	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	135	!
[1054]	136	! 1053 2012-11-13 17:11:03Z hoffmann
	137	! boundary conditions for the two new prognostic equations (nr, qr) of the
	138	! two-moment cloud scheme
	139	!
[1037]	140	! 1036 2012-10-22 13:43:42Z raasch
	141	! code put under GPL (PALM 3.9)
	142	!
[997]	143	! 996 2012-09-07 10:41:47Z raasch
	144	! little reformatting
	145	!
[979]	146	! 978 2012-08-09 08:28:32Z fricke
	147	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	148	! Outflow boundary conditions for the velocity components can be set to Neumann
	149	! conditions or to radiation conditions with a horizontal averaged phase
	150	! velocity.
	151	!
[876]	152	! 875 2012-04-02 15:35:15Z gryschka
	153	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	154	!
[1]	155	! Revision 1.1 1997/09/12 06:21:34 raasch
	156	! Initial revision
	157	!
	158	!
	159	! Description:
	160	! ------------
[1682]	161	!> Boundary conditions for the prognostic quantities.
	162	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	163	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	164	!> handled in routine exchange_horiz. Pressure boundary conditions are
	165	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	166	!------------------------------------------------------------------------------!
[1682]	167	SUBROUTINE boundary_conds
	168
[1]	169
[1320]	170	USE arrays_3d, &
	171	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, &
[2696]	172	diss_p, dzu, e_p, nc_p, nr_p, pt, pt_p, q, q_p, qc_p, qr_p, s, &
	173	s_p, sa, sa_p, u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
[1320]	174	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[1960]	175	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
[2696]	176
	177	#if defined( __chem )
	178	USE chemistry_model_mod, &
	179	ONLY: chem_boundary_conds
	180	#endif
	181
[1320]	182	USE control_parameters, &
[2696]	183	ONLY: air_chemistry, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
	184	constant_diffusion, cloud_physics, coupling_mode, dt_3d, &
	185	force_bound_l, force_bound_s, forcing, humidity, &
[1960]	186	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
	187	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
[2320]	188	inflow_s, intermediate_timestep_count, &
[2292]	189	microphysics_morrison, microphysics_seifert, nest_domain, &
	190	nest_bound_l, nest_bound_s, nudging, ocean, outflow_l, &
[2696]	191	outflow_n, outflow_r, outflow_s, passive_scalar, rans_tke_e, &
	192	tsc, use_cmax
[1320]	193
	194	USE grid_variables, &
	195	ONLY: ddx, ddy, dx, dy
	196
	197	USE indices, &
	198	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
[2232]	199	nzb, nzt, wall_flags_0
[1320]	200
	201	USE kinds
	202
[1]	203	USE pegrid
	204
[1933]	205	USE pmc_interface, &
	206	ONLY : nesting_mode
[1320]	207
[2232]	208	USE surface_mod, &
	209	ONLY : bc_h
[1933]	210
[1]	211	IMPLICIT NONE
	212
[2232]	213	INTEGER(iwp) :: i !< grid index x direction
	214	INTEGER(iwp) :: j !< grid index y direction
	215	INTEGER(iwp) :: k !< grid index z direction
	216	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	217	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	218	INTEGER(iwp) :: m !< running index surface elements
[1]	219
[1682]	220	REAL(wp) :: c_max !<
	221	REAL(wp) :: denom !<
[1]	222
[73]	223
[1]	224	!
[1113]	225	!-- Bottom boundary
	226	IF ( ibc_uv_b == 1 ) THEN
	227	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	228	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	229	ENDIF
[2232]	230	!
	231	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	232	!-- of downward-facing surfaces.
	233	DO l = 0, 1
	234	!
	235	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	236	!-- for downward-facing surfaces at topography bottom (k+1).
	237	kb = MERGE( -1, 1, l == 0 )
	238	!$OMP PARALLEL DO PRIVATE( i, j, k )
	239	DO m = 1, bc_h(l)%ns
	240	i = bc_h(l)%i(m)
	241	j = bc_h(l)%j(m)
	242	k = bc_h(l)%k(m)
	243	w_p(k+kb,j,i) = 0.0_wp
[1113]	244	ENDDO
	245	ENDDO
	246
	247	!
[1762]	248	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	249	IF ( ibc_uv_t == 0 ) THEN
	250	u_p(nzt+1,:,:) = u_init(nzt+1)
	251	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	252	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	253	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	254	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	255	ENDIF
	256
[2365]	257	!
	258	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
	259	IF ( .NOT. nest_domain .AND. &
	260	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
	261	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[1762]	262	ENDIF
	263
[1113]	264	!
[2232]	265	!-- Temperature at bottom and top boundary.
[1113]	266	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	267	!-- the sea surface temperature of the coupled ocean model.
[2232]	268	!-- Dirichlet
[1113]	269	IF ( ibc_pt_b == 0 ) THEN
[2232]	270	DO l = 0, 1
	271	!
	272	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	273	!-- for downward-facing surfaces at topography bottom (k+1).
	274	kb = MERGE( -1, 1, l == 0 )
	275	!$OMP PARALLEL DO PRIVATE( i, j, k )
	276	DO m = 1, bc_h(l)%ns
	277	i = bc_h(l)%i(m)
	278	j = bc_h(l)%j(m)
	279	k = bc_h(l)%k(m)
	280	pt_p(k+kb,j,i) = pt(k+kb,j,i)
[1]	281	ENDDO
	282	ENDDO
[2232]	283	!
	284	!-- Neumann, zero-gradient
[1113]	285	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	286	DO l = 0, 1
	287	!
	288	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	289	!-- for downward-facing surfaces at topography bottom (k+1).
	290	kb = MERGE( -1, 1, l == 0 )
	291	!$OMP PARALLEL DO PRIVATE( i, j, k )
	292	DO m = 1, bc_h(l)%ns
	293	i = bc_h(l)%i(m)
	294	j = bc_h(l)%j(m)
	295	k = bc_h(l)%k(m)
	296	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	297	ENDDO
	298	ENDDO
	299	ENDIF
[1]	300
	301	!
[1113]	302	!-- Temperature at top boundary
	303	IF ( ibc_pt_t == 0 ) THEN
	304	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	305	!
	306	!-- In case of nudging adjust top boundary to pt which is
	307	!-- read in from NUDGING-DATA
	308	IF ( nudging ) THEN
	309	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	310	ENDIF
[1113]	311	ELSEIF ( ibc_pt_t == 1 ) THEN
	312	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	313	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	314	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	315	ENDIF
[1]	316
	317	!
[1113]	318	!-- Boundary conditions for TKE
	319	!-- Generally Neumann conditions with de/dz=0 are assumed
	320	IF ( .NOT. constant_diffusion ) THEN
[2232]	321
[2696]	322	IF ( .NOT. rans_tke_e ) THEN
	323	DO l = 0, 1
[2232]	324	!
[2696]	325	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	326	!-- for downward-facing surfaces at topography bottom (k+1).
	327	kb = MERGE( -1, 1, l == 0 )
	328	!$OMP PARALLEL DO PRIVATE( i, j, k )
	329	DO m = 1, bc_h(l)%ns
	330	i = bc_h(l)%i(m)
	331	j = bc_h(l)%j(m)
	332	k = bc_h(l)%k(m)
	333	e_p(k+kb,j,i) = e_p(k,j,i)
	334	ENDDO
[73]	335	ENDDO
[2696]	336	ENDIF
[2232]	337
[1762]	338	IF ( .NOT. nest_domain ) THEN
	339	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	340	ENDIF
[1113]	341	ENDIF
	342
	343	!
[2696]	344	!-- Boundary conditions for TKE dissipation rate
	345	IF ( rans_tke_e .AND. .NOT. nest_domain ) THEN
	346	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
	347	ENDIF
	348
	349	!
[1113]	350	!-- Boundary conditions for salinity
	351	IF ( ocean ) THEN
	352	!
	353	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	354	!-- given.
	355	DO l = 0, 1
	356	!
	357	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	358	!-- for downward-facing surfaces at topography bottom (k+1).
	359	kb = MERGE( -1, 1, l == 0 )
	360	!$OMP PARALLEL DO PRIVATE( i, j, k )
	361	DO m = 1, bc_h(l)%ns
	362	i = bc_h(l)%i(m)
	363	j = bc_h(l)%j(m)
	364	k = bc_h(l)%k(m)
	365	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	366	ENDDO
[1113]	367	ENDDO
[1]	368	!
[1113]	369	!-- Top boundary: Dirichlet or Neumann
	370	IF ( ibc_sa_t == 0 ) THEN
	371	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	372	ELSEIF ( ibc_sa_t == 1 ) THEN
	373	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	374	ENDIF
	375
[1113]	376	ENDIF
	377
[1]	378	!
[1960]	379	!-- Boundary conditions for total water content,
[1113]	380	!-- bottom and top boundary (see also temperature)
[1960]	381	IF ( humidity ) THEN
[1113]	382	!
	383	!-- Surface conditions for constant_humidity_flux
[2232]	384	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	385	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	386	!-- q_p at k-1
[1113]	387	IF ( ibc_q_b == 0 ) THEN
[2232]	388
	389	DO l = 0, 1
	390	!
	391	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	392	!-- for downward-facing surfaces at topography bottom (k+1).
	393	kb = MERGE( -1, 1, l == 0 )
	394	!$OMP PARALLEL DO PRIVATE( i, j, k )
	395	DO m = 1, bc_h(l)%ns
	396	i = bc_h(l)%i(m)
	397	j = bc_h(l)%j(m)
	398	k = bc_h(l)%k(m)
	399	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	400	ENDDO
	401	ENDDO
[2232]	402
[1113]	403	ELSE
[2232]	404
	405	DO l = 0, 1
	406	!
	407	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	408	!-- for downward-facing surfaces at topography bottom (k+1).
	409	kb = MERGE( -1, 1, l == 0 )
	410	!$OMP PARALLEL DO PRIVATE( i, j, k )
	411	DO m = 1, bc_h(l)%ns
	412	i = bc_h(l)%i(m)
	413	j = bc_h(l)%j(m)
	414	k = bc_h(l)%k(m)
	415	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	416	ENDDO
	417	ENDDO
[1113]	418	ENDIF
[95]	419	!
[1113]	420	!-- Top boundary
[1462]	421	IF ( ibc_q_t == 0 ) THEN
	422	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	423	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	424	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	425	ENDIF
[95]	426
[2292]	427	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	428	!
	429	!-- Surface conditions cloud water (Dirichlet)
	430	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	431	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	432	!-- qr_p and nr_p at k-1
	433	!$OMP PARALLEL DO PRIVATE( i, j, k )
	434	DO m = 1, bc_h(0)%ns
	435	i = bc_h(0)%i(m)
	436	j = bc_h(0)%j(m)
	437	k = bc_h(0)%k(m)
	438	qc_p(k-1,j,i) = 0.0_wp
	439	nc_p(k-1,j,i) = 0.0_wp
	440	ENDDO
	441	!
	442	!-- Top boundary condition for cloud water (Dirichlet)
	443	qc_p(nzt+1,:,:) = 0.0_wp
	444	nc_p(nzt+1,:,:) = 0.0_wp
	445
	446	ENDIF
	447
[1822]	448	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1113]	449	!
[1361]	450	!-- Surface conditions rain water (Dirichlet)
[2232]	451	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	452	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	453	!-- qr_p and nr_p at k-1
	454	!$OMP PARALLEL DO PRIVATE( i, j, k )
	455	DO m = 1, bc_h(0)%ns
	456	i = bc_h(0)%i(m)
	457	j = bc_h(0)%j(m)
	458	k = bc_h(0)%k(m)
	459	qr_p(k-1,j,i) = 0.0_wp
	460	nr_p(k-1,j,i) = 0.0_wp
[1115]	461	ENDDO
[1]	462	!
[1361]	463	!-- Top boundary condition for rain water (Dirichlet)
	464	qr_p(nzt+1,:,:) = 0.0_wp
	465	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	466
[1]	467	ENDIF
[1409]	468	ENDIF
[1]	469	!
[1960]	470	!-- Boundary conditions for scalar,
	471	!-- bottom and top boundary (see also temperature)
	472	IF ( passive_scalar ) THEN
	473	!
	474	!-- Surface conditions for constant_humidity_flux
[2232]	475	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	476	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	477	!-- s_p at k-1
[1960]	478	IF ( ibc_s_b == 0 ) THEN
[2232]	479
	480	DO l = 0, 1
	481	!
	482	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	483	!-- for downward-facing surfaces at topography bottom (k+1).
	484	kb = MERGE( -1, 1, l == 0 )
	485	!$OMP PARALLEL DO PRIVATE( i, j, k )
	486	DO m = 1, bc_h(l)%ns
	487	i = bc_h(l)%i(m)
	488	j = bc_h(l)%j(m)
	489	k = bc_h(l)%k(m)
	490	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	491	ENDDO
	492	ENDDO
[2232]	493
[1960]	494	ELSE
[2232]	495
	496	DO l = 0, 1
	497	!
	498	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	499	!-- for downward-facing surfaces at topography bottom (k+1).
	500	kb = MERGE( -1, 1, l == 0 )
	501	!$OMP PARALLEL DO PRIVATE( i, j, k )
	502	DO m = 1, bc_h(l)%ns
	503	i = bc_h(l)%i(m)
	504	j = bc_h(l)%j(m)
	505	k = bc_h(l)%k(m)
	506	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	507	ENDDO
	508	ENDDO
	509	ENDIF
	510	!
[1992]	511	!-- Top boundary condition
	512	IF ( ibc_s_t == 0 ) THEN
[1960]	513	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	514	ELSEIF ( ibc_s_t == 1 ) THEN
	515	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	516	ELSEIF ( ibc_s_t == 2 ) THEN
	517	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	518	ENDIF
	519
	520	ENDIF
	521	!
[2696]	522	!-- Top/bottom boundary conditions for chemical species
	523	#if defined( __chem )
	524	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
	525	#endif
	526	!
[1762]	527	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	528	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	529	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	530	!-- version) these levels are handled as a prognostic level, boundary values
	531	!-- have to be restored here.
[1409]	532	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	533	IF ( inflow_s ) THEN
	534	v_p(:,nys,:) = v_p(:,nys-1,:)
	535	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	536	ELSEIF ( inflow_n ) THEN
	537	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	538	ELSEIF ( inflow_l ) THEN
	539	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	540	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	541	ELSEIF ( inflow_r ) THEN
	542	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	543	ENDIF
[1]	544
	545	!
[1762]	546	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	547	!-- in case of nest boundaries. This must not be done in case of vertical nesting
	548	!-- mode as in that case the lateral boundaries are actually cyclic.
[2696]	549	IF ( nesting_mode /= 'vertical' .OR. forcing ) THEN
	550	IF ( nest_bound_s .OR. force_bound_s ) THEN
[1933]	551	v_p(:,nys,:) = v_p(:,nys-1,:)
	552	ENDIF
[2696]	553	IF ( nest_bound_l .OR. force_bound_l ) THEN
[1933]	554	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	555	ENDIF
[1762]	556	ENDIF
	557
	558	!
[1409]	559	!-- Lateral boundary conditions for scalar quantities at the outflow
	560	IF ( outflow_s ) THEN
	561	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	562	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[2696]	563	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
[1960]	564	IF ( humidity ) THEN
[1409]	565	q_p(:,nys-1,:) = q_p(:,nys,:)
[2292]	566	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	567	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	568	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	569	ENDIF
[1822]	570	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	571	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	572	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	573	ENDIF
[1409]	574	ENDIF
[1960]	575	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[1409]	576	ELSEIF ( outflow_n ) THEN
	577	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
[2696]	578	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	579	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
[1960]	580	IF ( humidity ) THEN
[1409]	581	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[2292]	582	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	583	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	584	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	585	ENDIF
[1822]	586	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	587	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	588	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	589	ENDIF
[1409]	590	ENDIF
[1960]	591	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[1409]	592	ELSEIF ( outflow_l ) THEN
	593	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
[2696]	594	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	595	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
[1960]	596	IF ( humidity ) THEN
[1409]	597	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[2292]	598	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	599	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	600	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	601	ENDIF
[1822]	602	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	603	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	604	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	605	ENDIF
[1409]	606	ENDIF
[1960]	607	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[1409]	608	ELSEIF ( outflow_r ) THEN
	609	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
[2696]	610	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	611	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
[1960]	612	IF ( humidity ) THEN
[1409]	613	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[2292]	614	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	615	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	616	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	617	ENDIF
[1822]	618	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	619	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	620	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	621	ENDIF
[1]	622	ENDIF
[1960]	623	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	624	ENDIF
	625
	626	!
[2696]	627	!-- Lateral boundary conditions for chemical species
	628	#if defined( __chem )
	629	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
	630	#endif
	631
	632
	633	!
[1159]	634	!-- Radiation boundary conditions for the velocities at the respective outflow.
	635	!-- The phase velocity is either assumed to the maximum phase velocity that
	636	!-- ensures numerical stability (CFL-condition) or calculated after
	637	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	638	IF ( outflow_s ) THEN
[75]	639
[1159]	640	IF ( use_cmax ) THEN
	641	u_p(:,-1,:) = u(:,0,:)
	642	v_p(:,0,:) = v(:,1,:)
	643	w_p(:,-1,:) = w(:,0,:)
	644	ELSEIF ( .NOT. use_cmax ) THEN
[75]	645
[978]	646	c_max = dy / dt_3d
[75]	647
[1353]	648	c_u_m_l = 0.0_wp
	649	c_v_m_l = 0.0_wp
	650	c_w_m_l = 0.0_wp
[978]	651
[1353]	652	c_u_m = 0.0_wp
	653	c_v_m = 0.0_wp
	654	c_w_m = 0.0_wp
[978]	655
[75]	656	!
[996]	657	!-- Calculate the phase speeds for u, v, and w, first local and then
	658	!-- average along the outflow boundary.
	659	DO k = nzb+1, nzt+1
	660	DO i = nxl, nxr
[75]	661
[106]	662	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	663
[1353]	664	IF ( denom /= 0.0_wp ) THEN
[996]	665	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	666	IF ( c_u(k,i) < 0.0_wp ) THEN
	667	c_u(k,i) = 0.0_wp
[106]	668	ELSEIF ( c_u(k,i) > c_max ) THEN
	669	c_u(k,i) = c_max
	670	ENDIF
	671	ELSE
	672	c_u(k,i) = c_max
[75]	673	ENDIF
	674
[106]	675	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	676
[1353]	677	IF ( denom /= 0.0_wp ) THEN
[996]	678	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	679	IF ( c_v(k,i) < 0.0_wp ) THEN
	680	c_v(k,i) = 0.0_wp
[106]	681	ELSEIF ( c_v(k,i) > c_max ) THEN
	682	c_v(k,i) = c_max
	683	ENDIF
	684	ELSE
	685	c_v(k,i) = c_max
[75]	686	ENDIF
	687
[106]	688	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	689
[1353]	690	IF ( denom /= 0.0_wp ) THEN
[996]	691	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	692	IF ( c_w(k,i) < 0.0_wp ) THEN
	693	c_w(k,i) = 0.0_wp
[106]	694	ELSEIF ( c_w(k,i) > c_max ) THEN
	695	c_w(k,i) = c_max
	696	ENDIF
	697	ELSE
	698	c_w(k,i) = c_max
[75]	699	ENDIF
[106]	700
[978]	701	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	702	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	703	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	704
[978]	705	ENDDO
	706	ENDDO
[75]	707
[978]	708	#if defined( __parallel )
	709	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	710	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	711	MPI_SUM, comm1dx, ierr )
	712	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	713	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	714	MPI_SUM, comm1dx, ierr )
	715	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	716	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	717	MPI_SUM, comm1dx, ierr )
	718	#else
	719	c_u_m = c_u_m_l
	720	c_v_m = c_v_m_l
	721	c_w_m = c_w_m_l
	722	#endif
	723
	724	c_u_m = c_u_m / (nx+1)
	725	c_v_m = c_v_m / (nx+1)
	726	c_w_m = c_w_m / (nx+1)
	727
[75]	728	!
[978]	729	!-- Save old timelevels for the next timestep
	730	IF ( intermediate_timestep_count == 1 ) THEN
	731	u_m_s(:,:,:) = u(:,0:1,:)
	732	v_m_s(:,:,:) = v(:,1:2,:)
	733	w_m_s(:,:,:) = w(:,0:1,:)
	734	ENDIF
	735
	736	!
	737	!-- Calculate the new velocities
[996]	738	DO k = nzb+1, nzt+1
	739	DO i = nxlg, nxrg
[978]	740	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	741	( u(k,-1,i) - u(k,0,i) ) * ddy
	742
[978]	743	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	744	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	745
[978]	746	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	747	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	748	ENDDO
[75]	749	ENDDO
	750
	751	!
[978]	752	!-- Bottom boundary at the outflow
	753	IF ( ibc_uv_b == 0 ) THEN
[1353]	754	u_p(nzb,-1,:) = 0.0_wp
	755	v_p(nzb,0,:) = 0.0_wp
[978]	756	ELSE
	757	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	758	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	759	ENDIF
[1353]	760	w_p(nzb,-1,:) = 0.0_wp
[73]	761
[75]	762	!
[978]	763	!-- Top boundary at the outflow
	764	IF ( ibc_uv_t == 0 ) THEN
	765	u_p(nzt+1,-1,:) = u_init(nzt+1)
	766	v_p(nzt+1,0,:) = v_init(nzt+1)
	767	ELSE
[1742]	768	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	769	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	770	ENDIF
[1353]	771	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	772
[75]	773	ENDIF
[73]	774
[75]	775	ENDIF
[73]	776
[106]	777	IF ( outflow_n ) THEN
[73]	778
[1159]	779	IF ( use_cmax ) THEN
	780	u_p(:,ny+1,:) = u(:,ny,:)
	781	v_p(:,ny+1,:) = v(:,ny,:)
	782	w_p(:,ny+1,:) = w(:,ny,:)
	783	ELSEIF ( .NOT. use_cmax ) THEN
[75]	784
[978]	785	c_max = dy / dt_3d
[75]	786
[1353]	787	c_u_m_l = 0.0_wp
	788	c_v_m_l = 0.0_wp
	789	c_w_m_l = 0.0_wp
[978]	790
[1353]	791	c_u_m = 0.0_wp
	792	c_v_m = 0.0_wp
	793	c_w_m = 0.0_wp
[978]	794
[1]	795	!
[996]	796	!-- Calculate the phase speeds for u, v, and w, first local and then
	797	!-- average along the outflow boundary.
	798	DO k = nzb+1, nzt+1
	799	DO i = nxl, nxr
[73]	800
[106]	801	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	802
[1353]	803	IF ( denom /= 0.0_wp ) THEN
[996]	804	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	805	IF ( c_u(k,i) < 0.0_wp ) THEN
	806	c_u(k,i) = 0.0_wp
[106]	807	ELSEIF ( c_u(k,i) > c_max ) THEN
	808	c_u(k,i) = c_max
	809	ENDIF
	810	ELSE
	811	c_u(k,i) = c_max
[73]	812	ENDIF
	813
[106]	814	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	815
[1353]	816	IF ( denom /= 0.0_wp ) THEN
[996]	817	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	818	IF ( c_v(k,i) < 0.0_wp ) THEN
	819	c_v(k,i) = 0.0_wp
[106]	820	ELSEIF ( c_v(k,i) > c_max ) THEN
	821	c_v(k,i) = c_max
	822	ENDIF
	823	ELSE
	824	c_v(k,i) = c_max
[73]	825	ENDIF
	826
[106]	827	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	828
[1353]	829	IF ( denom /= 0.0_wp ) THEN
[996]	830	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	831	IF ( c_w(k,i) < 0.0_wp ) THEN
	832	c_w(k,i) = 0.0_wp
[106]	833	ELSEIF ( c_w(k,i) > c_max ) THEN
	834	c_w(k,i) = c_max
	835	ENDIF
	836	ELSE
	837	c_w(k,i) = c_max
[73]	838	ENDIF
[106]	839
[978]	840	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	841	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	842	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	843
[978]	844	ENDDO
	845	ENDDO
[73]	846
[978]	847	#if defined( __parallel )
	848	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	849	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	850	MPI_SUM, comm1dx, ierr )
	851	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	852	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	853	MPI_SUM, comm1dx, ierr )
	854	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	855	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	856	MPI_SUM, comm1dx, ierr )
	857	#else
	858	c_u_m = c_u_m_l
	859	c_v_m = c_v_m_l
	860	c_w_m = c_w_m_l
	861	#endif
	862
	863	c_u_m = c_u_m / (nx+1)
	864	c_v_m = c_v_m / (nx+1)
	865	c_w_m = c_w_m / (nx+1)
	866
[73]	867	!
[978]	868	!-- Save old timelevels for the next timestep
	869	IF ( intermediate_timestep_count == 1 ) THEN
	870	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	871	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	872	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	873	ENDIF
[73]	874
[978]	875	!
	876	!-- Calculate the new velocities
[996]	877	DO k = nzb+1, nzt+1
	878	DO i = nxlg, nxrg
[978]	879	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	880	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	881
[978]	882	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	883	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	884
[978]	885	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	886	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	887	ENDDO
[1]	888	ENDDO
	889
	890	!
[978]	891	!-- Bottom boundary at the outflow
	892	IF ( ibc_uv_b == 0 ) THEN
[1353]	893	u_p(nzb,ny+1,:) = 0.0_wp
	894	v_p(nzb,ny+1,:) = 0.0_wp
[978]	895	ELSE
	896	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	897	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	898	ENDIF
[1353]	899	w_p(nzb,ny+1,:) = 0.0_wp
[73]	900
	901	!
[978]	902	!-- Top boundary at the outflow
	903	IF ( ibc_uv_t == 0 ) THEN
	904	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	905	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	906	ELSE
	907	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	908	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	909	ENDIF
[1353]	910	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	911
[1]	912	ENDIF
	913
[75]	914	ENDIF
	915
[106]	916	IF ( outflow_l ) THEN
[75]	917
[1159]	918	IF ( use_cmax ) THEN
[1717]	919	u_p(:,:,0) = u(:,:,1)
	920	v_p(:,:,-1) = v(:,:,0)
[1159]	921	w_p(:,:,-1) = w(:,:,0)
	922	ELSEIF ( .NOT. use_cmax ) THEN
[75]	923
[978]	924	c_max = dx / dt_3d
[75]	925
[1353]	926	c_u_m_l = 0.0_wp
	927	c_v_m_l = 0.0_wp
	928	c_w_m_l = 0.0_wp
[978]	929
[1353]	930	c_u_m = 0.0_wp
	931	c_v_m = 0.0_wp
	932	c_w_m = 0.0_wp
[978]	933
[1]	934	!
[996]	935	!-- Calculate the phase speeds for u, v, and w, first local and then
	936	!-- average along the outflow boundary.
	937	DO k = nzb+1, nzt+1
	938	DO j = nys, nyn
[75]	939
[106]	940	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	941
[1353]	942	IF ( denom /= 0.0_wp ) THEN
[996]	943	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	944	IF ( c_u(k,j) < 0.0_wp ) THEN
	945	c_u(k,j) = 0.0_wp
[107]	946	ELSEIF ( c_u(k,j) > c_max ) THEN
	947	c_u(k,j) = c_max
[106]	948	ENDIF
	949	ELSE
[107]	950	c_u(k,j) = c_max
[75]	951	ENDIF
	952
[106]	953	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	954
[1353]	955	IF ( denom /= 0.0_wp ) THEN
[996]	956	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	957	IF ( c_v(k,j) < 0.0_wp ) THEN
	958	c_v(k,j) = 0.0_wp
[106]	959	ELSEIF ( c_v(k,j) > c_max ) THEN
	960	c_v(k,j) = c_max
	961	ENDIF
	962	ELSE
	963	c_v(k,j) = c_max
[75]	964	ENDIF
	965
[106]	966	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	967
[1353]	968	IF ( denom /= 0.0_wp ) THEN
[996]	969	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	970	IF ( c_w(k,j) < 0.0_wp ) THEN
	971	c_w(k,j) = 0.0_wp
[106]	972	ELSEIF ( c_w(k,j) > c_max ) THEN
	973	c_w(k,j) = c_max
	974	ENDIF
	975	ELSE
	976	c_w(k,j) = c_max
[75]	977	ENDIF
[106]	978
[978]	979	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	980	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	981	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	982
[978]	983	ENDDO
	984	ENDDO
[75]	985
[978]	986	#if defined( __parallel )
	987	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	988	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	989	MPI_SUM, comm1dy, ierr )
	990	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	991	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	992	MPI_SUM, comm1dy, ierr )
	993	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	994	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	995	MPI_SUM, comm1dy, ierr )
	996	#else
	997	c_u_m = c_u_m_l
	998	c_v_m = c_v_m_l
	999	c_w_m = c_w_m_l
	1000	#endif
	1001
	1002	c_u_m = c_u_m / (ny+1)
	1003	c_v_m = c_v_m / (ny+1)
	1004	c_w_m = c_w_m / (ny+1)
	1005
[73]	1006	!
[978]	1007	!-- Save old timelevels for the next timestep
	1008	IF ( intermediate_timestep_count == 1 ) THEN
	1009	u_m_l(:,:,:) = u(:,:,1:2)
	1010	v_m_l(:,:,:) = v(:,:,0:1)
	1011	w_m_l(:,:,:) = w(:,:,0:1)
	1012	ENDIF
	1013
	1014	!
	1015	!-- Calculate the new velocities
[996]	1016	DO k = nzb+1, nzt+1
[1113]	1017	DO j = nysg, nyng
[978]	1018	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	1019	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	1020
[978]	1021	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	1022	( v(k,j,-1) - v(k,j,0) ) * ddx
	1023
[978]	1024	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	1025	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	1026	ENDDO
[75]	1027	ENDDO
	1028
	1029	!
[978]	1030	!-- Bottom boundary at the outflow
	1031	IF ( ibc_uv_b == 0 ) THEN
[1353]	1032	u_p(nzb,:,0) = 0.0_wp
	1033	v_p(nzb,:,-1) = 0.0_wp
[978]	1034	ELSE
	1035	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1036	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1037	ENDIF
[1353]	1038	w_p(nzb,:,-1) = 0.0_wp
[1]	1039
[75]	1040	!
[978]	1041	!-- Top boundary at the outflow
	1042	IF ( ibc_uv_t == 0 ) THEN
[1764]	1043	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1044	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1045	ELSE
[1764]	1046	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1047	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1048	ENDIF
[1353]	1049	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1050
[75]	1051	ENDIF
[73]	1052
[75]	1053	ENDIF
[73]	1054
[106]	1055	IF ( outflow_r ) THEN
[73]	1056
[1159]	1057	IF ( use_cmax ) THEN
	1058	u_p(:,:,nx+1) = u(:,:,nx)
	1059	v_p(:,:,nx+1) = v(:,:,nx)
	1060	w_p(:,:,nx+1) = w(:,:,nx)
	1061	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1062
[978]	1063	c_max = dx / dt_3d
[75]	1064
[1353]	1065	c_u_m_l = 0.0_wp
	1066	c_v_m_l = 0.0_wp
	1067	c_w_m_l = 0.0_wp
[978]	1068
[1353]	1069	c_u_m = 0.0_wp
	1070	c_v_m = 0.0_wp
	1071	c_w_m = 0.0_wp
[978]	1072
[1]	1073	!
[996]	1074	!-- Calculate the phase speeds for u, v, and w, first local and then
	1075	!-- average along the outflow boundary.
	1076	DO k = nzb+1, nzt+1
	1077	DO j = nys, nyn
[73]	1078
[106]	1079	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1080
[1353]	1081	IF ( denom /= 0.0_wp ) THEN
[996]	1082	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1083	IF ( c_u(k,j) < 0.0_wp ) THEN
	1084	c_u(k,j) = 0.0_wp
[106]	1085	ELSEIF ( c_u(k,j) > c_max ) THEN
	1086	c_u(k,j) = c_max
	1087	ENDIF
	1088	ELSE
	1089	c_u(k,j) = c_max
[73]	1090	ENDIF
	1091
[106]	1092	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1093
[1353]	1094	IF ( denom /= 0.0_wp ) THEN
[996]	1095	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1096	IF ( c_v(k,j) < 0.0_wp ) THEN
	1097	c_v(k,j) = 0.0_wp
[106]	1098	ELSEIF ( c_v(k,j) > c_max ) THEN
	1099	c_v(k,j) = c_max
	1100	ENDIF
	1101	ELSE
	1102	c_v(k,j) = c_max
[73]	1103	ENDIF
	1104
[106]	1105	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1106
[1353]	1107	IF ( denom /= 0.0_wp ) THEN
[996]	1108	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1109	IF ( c_w(k,j) < 0.0_wp ) THEN
	1110	c_w(k,j) = 0.0_wp
[106]	1111	ELSEIF ( c_w(k,j) > c_max ) THEN
	1112	c_w(k,j) = c_max
	1113	ENDIF
	1114	ELSE
	1115	c_w(k,j) = c_max
[73]	1116	ENDIF
[106]	1117
[978]	1118	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1119	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1120	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1121
[978]	1122	ENDDO
	1123	ENDDO
[73]	1124
[978]	1125	#if defined( __parallel )
	1126	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1127	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1128	MPI_SUM, comm1dy, ierr )
	1129	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1130	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1131	MPI_SUM, comm1dy, ierr )
	1132	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1133	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1134	MPI_SUM, comm1dy, ierr )
	1135	#else
	1136	c_u_m = c_u_m_l
	1137	c_v_m = c_v_m_l
	1138	c_w_m = c_w_m_l
	1139	#endif
	1140
	1141	c_u_m = c_u_m / (ny+1)
	1142	c_v_m = c_v_m / (ny+1)
	1143	c_w_m = c_w_m / (ny+1)
	1144
[73]	1145	!
[978]	1146	!-- Save old timelevels for the next timestep
	1147	IF ( intermediate_timestep_count == 1 ) THEN
	1148	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1149	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1150	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1151	ENDIF
[73]	1152
[978]	1153	!
	1154	!-- Calculate the new velocities
[996]	1155	DO k = nzb+1, nzt+1
[1113]	1156	DO j = nysg, nyng
[978]	1157	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1158	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1159
[978]	1160	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1161	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1162
[978]	1163	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1164	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1165	ENDDO
[73]	1166	ENDDO
	1167
	1168	!
[978]	1169	!-- Bottom boundary at the outflow
	1170	IF ( ibc_uv_b == 0 ) THEN
[1353]	1171	u_p(nzb,:,nx+1) = 0.0_wp
	1172	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1173	ELSE
	1174	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1175	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1176	ENDIF
[1353]	1177	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1178
	1179	!
[978]	1180	!-- Top boundary at the outflow
	1181	IF ( ibc_uv_t == 0 ) THEN
	1182	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1183	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1184	ELSE
	1185	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1186	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1187	ENDIF
[1742]	1188	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1189
[1]	1190	ENDIF
	1191
	1192	ENDIF
	1193
	1194	END SUBROUTINE boundary_conds

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