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source: palm/trunk/SOURCE/boundary_conds.f90 @ 2906

Last change on this file since 2906 was 2766, checked in by kanani, 7 years ago
Removal of chem directive, plus minor changes
Property svn:keywords set to `Id`
File size: 40.6 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	!
[2718]	17	! Copyright 1997-2018 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 2766 2018-01-22 17:17:47Z Giersch $
[2766]	27	! Removed preprocessor directive __chem
	28	!
	29	! 2718 2018-01-02 08:49:38Z maronga
[2716]	30	! Corrected "Former revisions" section
	31	!
	32	! 2696 2017-12-14 17:12:51Z kanani
	33	! Change in file header (GPL part)
[2696]	34	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
	35	! Implementation of chemistry module (FK)
	36	!
	37	! 2569 2017-10-20 11:54:42Z kanani
[2569]	38	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	39	!
	40	! 2365 2017-08-21 14:59:59Z kanani
[2365]	41	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	42	! on fine grid (SadiqHuq)
	43	!
	44	! 2320 2017-07-21 12:47:43Z suehring
[2320]	45	! Remove unused control parameter large_scale_forcing from only-list
	46	!
	47	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	48	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	49	! includes two more prognostic equations for cloud drop concentration (nc)
	50	! and cloud water content (qc).
	51	!
	52	! 2233 2017-05-30 18:08:54Z suehring
[1321]	53	!
[2233]	54	! 2232 2017-05-30 17:47:52Z suehring
	55	! Set boundary conditions on topography top using flag method.
	56	!
[2119]	57	! 2118 2017-01-17 16:38:49Z raasch
	58	! OpenACC directives removed
	59	!
[2001]	60	! 2000 2016-08-20 18:09:15Z knoop
	61	! Forced header and separation lines into 80 columns
	62	!
[1993]	63	! 1992 2016-08-12 15:14:59Z suehring
	64	! Adjustments for top boundary condition for passive scalar
	65	!
[1961]	66	! 1960 2016-07-12 16:34:24Z suehring
	67	! Treat humidity and passive scalar separately
	68	!
[1933]	69	! 1823 2016-04-07 08:57:52Z hoffmann
	70	! Initial version of purely vertical nesting introduced.
	71	!
[1823]	72	! 1822 2016-04-07 07:49:42Z hoffmann
	73	! icloud_scheme removed. microphyisics_seifert added.
	74	!
[1765]	75	! 1764 2016-02-28 12:45:19Z raasch
	76	! index bug for u_p at left outflow removed
	77	!
[1763]	78	! 1762 2016-02-25 12:31:13Z hellstea
	79	! Introduction of nested domain feature
	80	!
[1744]	81	! 1742 2016-01-13 09:50:06Z raasch
	82	! bugfix for outflow Neumann boundary conditions at bottom and top
	83	!
[1718]	84	! 1717 2015-11-11 15:09:47Z raasch
	85	! Bugfix: index error in outflow conditions for left boundary
	86	!
[1683]	87	! 1682 2015-10-07 23:56:08Z knoop
	88	! Code annotations made doxygen readable
	89	!
[1717]	90	! 1410 2014-05-23 12:16:18Z suehring
[1463]	91	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	92	! top
	93	!
[1410]	94	! 1399 2014-05-07 11:16:25Z heinze
	95	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	96	! is used.
	97	!
[1399]	98	! 1398 2014-05-07 11:15:00Z heinze
	99	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	100	! for large_scale_forcing
	101	!
[1381]	102	! 1380 2014-04-28 12:40:45Z heinze
	103	! Adjust Dirichlet-condition at the top for pt in case of nudging
	104	!
[1362]	105	! 1361 2014-04-16 15:17:48Z hoffmann
	106	! Bottom and top boundary conditions of rain water content (qr) and
	107	! rain drop concentration (nr) changed to Dirichlet
	108	!
[1354]	109	! 1353 2014-04-08 15:21:23Z heinze
	110	! REAL constants provided with KIND-attribute
	111	!
[1321]	112	! 1320 2014-03-20 08:40:49Z raasch
[1320]	113	! ONLY-attribute added to USE-statements,
	114	! kind-parameters added to all INTEGER and REAL declaration statements,
	115	! kinds are defined in new module kinds,
	116	! revision history before 2012 removed,
	117	! comment fields (!:) to be used for variable explanations added to
	118	! all variable declaration statements
[1160]	119	!
[1258]	120	! 1257 2013-11-08 15:18:40Z raasch
	121	! loop independent clauses added
	122	!
[1242]	123	! 1241 2013-10-30 11:36:58Z heinze
	124	! Adjust ug and vg at each timestep in case of large_scale_forcing
	125	!
[1160]	126	! 1159 2013-05-21 11:58:22Z fricke
[1159]	127	! Bugfix: Neumann boundary conditions for the velocity components at the
	128	! outflow are in fact radiation boundary conditions using the maximum phase
	129	! velocity that ensures numerical stability (CFL-condition).
	130	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	131	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	132	! u_p, v_p, w_p
[1116]	133	!
	134	! 1115 2013-03-26 18:16:16Z hoffmann
	135	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	136	! boundary-conditions
	137	!
[1114]	138	! 1113 2013-03-10 02:48:14Z raasch
	139	! GPU-porting
	140	! dummy argument "range" removed
	141	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	142	!
[1054]	143	! 1053 2012-11-13 17:11:03Z hoffmann
	144	! boundary conditions for the two new prognostic equations (nr, qr) of the
	145	! two-moment cloud scheme
	146	!
[1037]	147	! 1036 2012-10-22 13:43:42Z raasch
	148	! code put under GPL (PALM 3.9)
	149	!
[997]	150	! 996 2012-09-07 10:41:47Z raasch
	151	! little reformatting
	152	!
[979]	153	! 978 2012-08-09 08:28:32Z fricke
	154	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	155	! Outflow boundary conditions for the velocity components can be set to Neumann
	156	! conditions or to radiation conditions with a horizontal averaged phase
	157	! velocity.
	158	!
[876]	159	! 875 2012-04-02 15:35:15Z gryschka
	160	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	161	!
[1]	162	! Revision 1.1 1997/09/12 06:21:34 raasch
	163	! Initial revision
	164	!
	165	!
	166	! Description:
	167	! ------------
[1682]	168	!> Boundary conditions for the prognostic quantities.
	169	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	170	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	171	!> handled in routine exchange_horiz. Pressure boundary conditions are
	172	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	173	!------------------------------------------------------------------------------!
[1682]	174	SUBROUTINE boundary_conds
	175
[1]	176
[1320]	177	USE arrays_3d, &
	178	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]	179	diss_p, dzu, e_p, nc_p, nr_p, pt, pt_p, q, q_p, qc_p, qr_p, s, &
	180	s_p, sa, sa_p, u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
[1320]	181	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
[1960]	182	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s, pt_init
[2696]	183
	184	USE chemistry_model_mod, &
	185	ONLY: chem_boundary_conds
	186
[1320]	187	USE control_parameters, &
[2696]	188	ONLY: air_chemistry, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
	189	constant_diffusion, cloud_physics, coupling_mode, dt_3d, &
	190	force_bound_l, force_bound_s, forcing, humidity, &
[1960]	191	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, ibc_s_t, &
	192	ibc_sa_t, ibc_uv_b, ibc_uv_t, inflow_l, inflow_n, inflow_r, &
[2320]	193	inflow_s, intermediate_timestep_count, &
[2292]	194	microphysics_morrison, microphysics_seifert, nest_domain, &
	195	nest_bound_l, nest_bound_s, nudging, ocean, outflow_l, &
[2696]	196	outflow_n, outflow_r, outflow_s, passive_scalar, rans_tke_e, &
	197	tsc, use_cmax
[1320]	198
	199	USE grid_variables, &
	200	ONLY: ddx, ddy, dx, dy
	201
	202	USE indices, &
	203	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
[2232]	204	nzb, nzt, wall_flags_0
[1320]	205
	206	USE kinds
	207
[1]	208	USE pegrid
	209
[1933]	210	USE pmc_interface, &
	211	ONLY : nesting_mode
[1320]	212
[2232]	213	USE surface_mod, &
	214	ONLY : bc_h
[1933]	215
[1]	216	IMPLICIT NONE
	217
[2232]	218	INTEGER(iwp) :: i !< grid index x direction
	219	INTEGER(iwp) :: j !< grid index y direction
	220	INTEGER(iwp) :: k !< grid index z direction
	221	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	222	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	223	INTEGER(iwp) :: m !< running index surface elements
[1]	224
[1682]	225	REAL(wp) :: c_max !<
	226	REAL(wp) :: denom !<
[1]	227
[73]	228
[1]	229	!
[1113]	230	!-- Bottom boundary
	231	IF ( ibc_uv_b == 1 ) THEN
	232	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	233	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	234	ENDIF
[2232]	235	!
	236	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	237	!-- of downward-facing surfaces.
	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	!$OMP PARALLEL DO PRIVATE( i, j, k )
	244	DO m = 1, bc_h(l)%ns
	245	i = bc_h(l)%i(m)
	246	j = bc_h(l)%j(m)
	247	k = bc_h(l)%k(m)
	248	w_p(k+kb,j,i) = 0.0_wp
[1113]	249	ENDDO
	250	ENDDO
	251
	252	!
[1762]	253	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	254	IF ( ibc_uv_t == 0 ) THEN
	255	u_p(nzt+1,:,:) = u_init(nzt+1)
	256	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	257	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	258	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	259	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	260	ENDIF
	261
[2365]	262	!
	263	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
	264	IF ( .NOT. nest_domain .AND. &
	265	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
	266	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[1762]	267	ENDIF
	268
[1113]	269	!
[2232]	270	!-- Temperature at bottom and top boundary.
[1113]	271	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	272	!-- the sea surface temperature of the coupled ocean model.
[2232]	273	!-- Dirichlet
[1113]	274	IF ( ibc_pt_b == 0 ) THEN
[2232]	275	DO l = 0, 1
	276	!
	277	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	278	!-- for downward-facing surfaces at topography bottom (k+1).
	279	kb = MERGE( -1, 1, l == 0 )
	280	!$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(k+kb,j,i)
[1]	286	ENDDO
	287	ENDDO
[2232]	288	!
	289	!-- Neumann, zero-gradient
[1113]	290	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	291	DO l = 0, 1
	292	!
	293	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	294	!-- for downward-facing surfaces at topography bottom (k+1).
	295	kb = MERGE( -1, 1, l == 0 )
	296	!$OMP PARALLEL DO PRIVATE( i, j, k )
	297	DO m = 1, bc_h(l)%ns
	298	i = bc_h(l)%i(m)
	299	j = bc_h(l)%j(m)
	300	k = bc_h(l)%k(m)
	301	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	302	ENDDO
	303	ENDDO
	304	ENDIF
[1]	305
	306	!
[1113]	307	!-- Temperature at top boundary
	308	IF ( ibc_pt_t == 0 ) THEN
	309	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	310	!
	311	!-- In case of nudging adjust top boundary to pt which is
	312	!-- read in from NUDGING-DATA
	313	IF ( nudging ) THEN
	314	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	315	ENDIF
[1113]	316	ELSEIF ( ibc_pt_t == 1 ) THEN
	317	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	318	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	319	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	320	ENDIF
[1]	321
	322	!
[1113]	323	!-- Boundary conditions for TKE
	324	!-- Generally Neumann conditions with de/dz=0 are assumed
	325	IF ( .NOT. constant_diffusion ) THEN
[2232]	326
[2696]	327	IF ( .NOT. rans_tke_e ) THEN
	328	DO l = 0, 1
[2232]	329	!
[2696]	330	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	331	!-- for downward-facing surfaces at topography bottom (k+1).
	332	kb = MERGE( -1, 1, l == 0 )
	333	!$OMP PARALLEL DO PRIVATE( i, j, k )
	334	DO m = 1, bc_h(l)%ns
	335	i = bc_h(l)%i(m)
	336	j = bc_h(l)%j(m)
	337	k = bc_h(l)%k(m)
	338	e_p(k+kb,j,i) = e_p(k,j,i)
	339	ENDDO
[73]	340	ENDDO
[2696]	341	ENDIF
[2232]	342
[1762]	343	IF ( .NOT. nest_domain ) THEN
	344	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	345	ENDIF
[1113]	346	ENDIF
	347
	348	!
[2696]	349	!-- Boundary conditions for TKE dissipation rate
	350	IF ( rans_tke_e .AND. .NOT. nest_domain ) THEN
	351	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
	352	ENDIF
	353
	354	!
[1113]	355	!-- Boundary conditions for salinity
	356	IF ( ocean ) THEN
	357	!
	358	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	359	!-- given.
	360	DO l = 0, 1
	361	!
	362	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	363	!-- for downward-facing surfaces at topography bottom (k+1).
	364	kb = MERGE( -1, 1, l == 0 )
	365	!$OMP PARALLEL DO PRIVATE( i, j, k )
	366	DO m = 1, bc_h(l)%ns
	367	i = bc_h(l)%i(m)
	368	j = bc_h(l)%j(m)
	369	k = bc_h(l)%k(m)
	370	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	371	ENDDO
[1113]	372	ENDDO
[1]	373	!
[1113]	374	!-- Top boundary: Dirichlet or Neumann
	375	IF ( ibc_sa_t == 0 ) THEN
	376	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	377	ELSEIF ( ibc_sa_t == 1 ) THEN
	378	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	379	ENDIF
	380
[1113]	381	ENDIF
	382
[1]	383	!
[1960]	384	!-- Boundary conditions for total water content,
[1113]	385	!-- bottom and top boundary (see also temperature)
[1960]	386	IF ( humidity ) THEN
[1113]	387	!
	388	!-- Surface conditions for constant_humidity_flux
[2232]	389	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	390	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	391	!-- q_p at k-1
[1113]	392	IF ( ibc_q_b == 0 ) THEN
[2232]	393
	394	DO l = 0, 1
	395	!
	396	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	397	!-- for downward-facing surfaces at topography bottom (k+1).
	398	kb = MERGE( -1, 1, l == 0 )
	399	!$OMP PARALLEL DO PRIVATE( i, j, k )
	400	DO m = 1, bc_h(l)%ns
	401	i = bc_h(l)%i(m)
	402	j = bc_h(l)%j(m)
	403	k = bc_h(l)%k(m)
	404	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	405	ENDDO
	406	ENDDO
[2232]	407
[1113]	408	ELSE
[2232]	409
	410	DO l = 0, 1
	411	!
	412	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	413	!-- for downward-facing surfaces at topography bottom (k+1).
	414	kb = MERGE( -1, 1, l == 0 )
	415	!$OMP PARALLEL DO PRIVATE( i, j, k )
	416	DO m = 1, bc_h(l)%ns
	417	i = bc_h(l)%i(m)
	418	j = bc_h(l)%j(m)
	419	k = bc_h(l)%k(m)
	420	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	421	ENDDO
	422	ENDDO
[1113]	423	ENDIF
[95]	424	!
[1113]	425	!-- Top boundary
[1462]	426	IF ( ibc_q_t == 0 ) THEN
	427	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	428	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	429	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	430	ENDIF
[95]	431
[2292]	432	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	433	!
	434	!-- Surface conditions cloud water (Dirichlet)
	435	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	436	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	437	!-- qr_p and nr_p at k-1
	438	!$OMP PARALLEL DO PRIVATE( i, j, k )
	439	DO m = 1, bc_h(0)%ns
	440	i = bc_h(0)%i(m)
	441	j = bc_h(0)%j(m)
	442	k = bc_h(0)%k(m)
	443	qc_p(k-1,j,i) = 0.0_wp
	444	nc_p(k-1,j,i) = 0.0_wp
	445	ENDDO
	446	!
	447	!-- Top boundary condition for cloud water (Dirichlet)
	448	qc_p(nzt+1,:,:) = 0.0_wp
	449	nc_p(nzt+1,:,:) = 0.0_wp
	450
	451	ENDIF
	452
[1822]	453	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1113]	454	!
[1361]	455	!-- Surface conditions rain water (Dirichlet)
[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	!-- qr_p and nr_p at k-1
	459	!$OMP PARALLEL DO PRIVATE( i, j, k )
	460	DO m = 1, bc_h(0)%ns
	461	i = bc_h(0)%i(m)
	462	j = bc_h(0)%j(m)
	463	k = bc_h(0)%k(m)
	464	qr_p(k-1,j,i) = 0.0_wp
	465	nr_p(k-1,j,i) = 0.0_wp
[1115]	466	ENDDO
[1]	467	!
[1361]	468	!-- Top boundary condition for rain water (Dirichlet)
	469	qr_p(nzt+1,:,:) = 0.0_wp
	470	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	471
[1]	472	ENDIF
[1409]	473	ENDIF
[1]	474	!
[1960]	475	!-- Boundary conditions for scalar,
	476	!-- bottom and top boundary (see also temperature)
	477	IF ( passive_scalar ) THEN
	478	!
	479	!-- Surface conditions for constant_humidity_flux
[2232]	480	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	481	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	482	!-- s_p at k-1
[1960]	483	IF ( ibc_s_b == 0 ) THEN
[2232]	484
	485	DO l = 0, 1
	486	!
	487	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	488	!-- for downward-facing surfaces at topography bottom (k+1).
	489	kb = MERGE( -1, 1, l == 0 )
	490	!$OMP PARALLEL DO PRIVATE( i, j, k )
	491	DO m = 1, bc_h(l)%ns
	492	i = bc_h(l)%i(m)
	493	j = bc_h(l)%j(m)
	494	k = bc_h(l)%k(m)
	495	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	496	ENDDO
	497	ENDDO
[2232]	498
[1960]	499	ELSE
[2232]	500
	501	DO l = 0, 1
	502	!
	503	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	504	!-- for downward-facing surfaces at topography bottom (k+1).
	505	kb = MERGE( -1, 1, l == 0 )
	506	!$OMP PARALLEL DO PRIVATE( i, j, k )
	507	DO m = 1, bc_h(l)%ns
	508	i = bc_h(l)%i(m)
	509	j = bc_h(l)%j(m)
	510	k = bc_h(l)%k(m)
	511	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	512	ENDDO
	513	ENDDO
	514	ENDIF
	515	!
[1992]	516	!-- Top boundary condition
	517	IF ( ibc_s_t == 0 ) THEN
[1960]	518	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	519	ELSEIF ( ibc_s_t == 1 ) THEN
	520	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	521	ELSEIF ( ibc_s_t == 2 ) THEN
	522	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	523	ENDIF
	524
	525	ENDIF
	526	!
[2696]	527	!-- Top/bottom boundary conditions for chemical species
	528	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
	529	!
[1762]	530	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	531	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	532	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	533	!-- version) these levels are handled as a prognostic level, boundary values
	534	!-- have to be restored here.
[1409]	535	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
	536	IF ( inflow_s ) THEN
	537	v_p(:,nys,:) = v_p(:,nys-1,:)
	538	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	539	ELSEIF ( inflow_n ) THEN
	540	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	541	ELSEIF ( inflow_l ) THEN
	542	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	543	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	544	ELSEIF ( inflow_r ) THEN
	545	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	546	ENDIF
[1]	547
	548	!
[1762]	549	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	550	!-- in case of nest boundaries. This must not be done in case of vertical nesting
	551	!-- mode as in that case the lateral boundaries are actually cyclic.
[2696]	552	IF ( nesting_mode /= 'vertical' .OR. forcing ) THEN
	553	IF ( nest_bound_s .OR. force_bound_s ) THEN
[1933]	554	v_p(:,nys,:) = v_p(:,nys-1,:)
	555	ENDIF
[2696]	556	IF ( nest_bound_l .OR. force_bound_l ) THEN
[1933]	557	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	558	ENDIF
[1762]	559	ENDIF
	560
	561	!
[1409]	562	!-- Lateral boundary conditions for scalar quantities at the outflow
	563	IF ( outflow_s ) THEN
	564	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	565	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[2696]	566	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
[1960]	567	IF ( humidity ) THEN
[1409]	568	q_p(:,nys-1,:) = q_p(:,nys,:)
[2292]	569	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	570	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	571	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	572	ENDIF
[1822]	573	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	574	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	575	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	576	ENDIF
[1409]	577	ENDIF
[1960]	578	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[1409]	579	ELSEIF ( outflow_n ) THEN
	580	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
[2696]	581	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	582	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
[1960]	583	IF ( humidity ) THEN
[1409]	584	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[2292]	585	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	586	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	587	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	588	ENDIF
[1822]	589	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	590	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	591	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	592	ENDIF
[1409]	593	ENDIF
[1960]	594	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[1409]	595	ELSEIF ( outflow_l ) THEN
	596	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
[2696]	597	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	598	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
[1960]	599	IF ( humidity ) THEN
[1409]	600	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[2292]	601	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	602	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	603	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	604	ENDIF
[1822]	605	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	606	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	607	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	608	ENDIF
[1409]	609	ENDIF
[1960]	610	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[1409]	611	ELSEIF ( outflow_r ) THEN
	612	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
[2696]	613	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	614	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
[1960]	615	IF ( humidity ) THEN
[1409]	616	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[2292]	617	IF ( cloud_physics .AND. microphysics_morrison ) THEN
	618	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	619	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	620	ENDIF
[1822]	621	IF ( cloud_physics .AND. microphysics_seifert ) THEN
[1409]	622	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	623	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	624	ENDIF
[1]	625	ENDIF
[1960]	626	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	627	ENDIF
	628
	629	!
[2696]	630	!-- Lateral boundary conditions for chemical species
	631	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
	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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