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source: palm/trunk/SOURCE/boundary_conds.f90 @ 3618

Last change on this file since 3618 was 3589, checked in by suehring, 6 years ago
Remove erroneous UTF encoding; last commit documented
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[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	!
[3589]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 3589 2018-11-30 15:09:51Z eckhard $
[3589]	27	! Move the control parameter "salsa" from salsa_mod to control_parameters
	28	! (M. Kurppa)
	29	!
	30	! 3582 2018-11-29 19:16:36Z suehring
[3562]	31	! variables documented
	32	!
	33	! 3467 2018-10-30 19:05:21Z suehring
[3467]	34	! Implementation of a new aerosol module salsa.
	35	!
	36	! 3347 2018-10-15 14:21:08Z suehring
[3347]	37	! Bugfix in setting boundary conditions in offline nesting
	38	!
	39	! 3341 2018-10-15 10:31:27Z suehring
[3294]	40	! changes concerning modularization of ocean option
	41	!
	42	! 3274 2018-09-24 15:42:55Z knoop
[3274]	43	! Modularization of all bulk cloud physics code components
	44	!
	45	! 3241 2018-09-12 15:02:00Z raasch
[3241]	46	! unused variables removed
	47	!
	48	! 3183 2018-07-27 14:25:55Z suehring
[3183]	49	! Rename some variables concerning LES-LES as well as offline nesting
	50	!
	51	! 3182 2018-07-27 13:36:03Z suehring
[3129]	52	! - Use wall function for e_p and diss_p in case of rans_tke_e
	53	! - move limitation of diss_p from tcm_prognostic
	54	!
	55	! 2938 2018-03-27 15:52:42Z suehring
[2938]	56	! Set boundary condition for TKE and TKE dissipation rate in case of nesting
	57	! and if parent model operates in RANS mode but child model in LES mode.
	58	! mode
	59	!
	60	! 2793 2018-02-07 10:54:33Z suehring
[2766]	61	! Removed preprocessor directive __chem
	62	!
	63	! 2718 2018-01-02 08:49:38Z maronga
[2716]	64	! Corrected "Former revisions" section
	65	!
	66	! 2696 2017-12-14 17:12:51Z kanani
	67	! Change in file header (GPL part)
[2696]	68	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
	69	! Implementation of chemistry module (FK)
	70	!
	71	! 2569 2017-10-20 11:54:42Z kanani
[2569]	72	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	73	!
	74	! 2365 2017-08-21 14:59:59Z kanani
[2365]	75	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	76	! on fine grid (SadiqHuq)
	77	!
	78	! 2320 2017-07-21 12:47:43Z suehring
[2320]	79	! Remove unused control parameter large_scale_forcing from only-list
	80	!
	81	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	82	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	83	! includes two more prognostic equations for cloud drop concentration (nc)
	84	! and cloud water content (qc).
	85	!
	86	! 2233 2017-05-30 18:08:54Z suehring
[1321]	87	!
[2233]	88	! 2232 2017-05-30 17:47:52Z suehring
	89	! Set boundary conditions on topography top using flag method.
	90	!
[2119]	91	! 2118 2017-01-17 16:38:49Z raasch
	92	! OpenACC directives removed
	93	!
[2001]	94	! 2000 2016-08-20 18:09:15Z knoop
	95	! Forced header and separation lines into 80 columns
	96	!
[1993]	97	! 1992 2016-08-12 15:14:59Z suehring
	98	! Adjustments for top boundary condition for passive scalar
	99	!
[1961]	100	! 1960 2016-07-12 16:34:24Z suehring
	101	! Treat humidity and passive scalar separately
	102	!
[1933]	103	! 1823 2016-04-07 08:57:52Z hoffmann
	104	! Initial version of purely vertical nesting introduced.
	105	!
[1823]	106	! 1822 2016-04-07 07:49:42Z hoffmann
	107	! icloud_scheme removed. microphyisics_seifert added.
	108	!
[1765]	109	! 1764 2016-02-28 12:45:19Z raasch
	110	! index bug for u_p at left outflow removed
	111	!
[1763]	112	! 1762 2016-02-25 12:31:13Z hellstea
	113	! Introduction of nested domain feature
	114	!
[1744]	115	! 1742 2016-01-13 09:50:06Z raasch
	116	! bugfix for outflow Neumann boundary conditions at bottom and top
	117	!
[1718]	118	! 1717 2015-11-11 15:09:47Z raasch
	119	! Bugfix: index error in outflow conditions for left boundary
	120	!
[1683]	121	! 1682 2015-10-07 23:56:08Z knoop
	122	! Code annotations made doxygen readable
	123	!
[1717]	124	! 1410 2014-05-23 12:16:18Z suehring
[1463]	125	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	126	! top
	127	!
[1410]	128	! 1399 2014-05-07 11:16:25Z heinze
	129	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	130	! is used.
	131	!
[1399]	132	! 1398 2014-05-07 11:15:00Z heinze
	133	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	134	! for large_scale_forcing
	135	!
[1381]	136	! 1380 2014-04-28 12:40:45Z heinze
	137	! Adjust Dirichlet-condition at the top for pt in case of nudging
	138	!
[1362]	139	! 1361 2014-04-16 15:17:48Z hoffmann
	140	! Bottom and top boundary conditions of rain water content (qr) and
	141	! rain drop concentration (nr) changed to Dirichlet
	142	!
[1354]	143	! 1353 2014-04-08 15:21:23Z heinze
	144	! REAL constants provided with KIND-attribute
	145	!
[1321]	146	! 1320 2014-03-20 08:40:49Z raasch
[1320]	147	! ONLY-attribute added to USE-statements,
	148	! kind-parameters added to all INTEGER and REAL declaration statements,
	149	! kinds are defined in new module kinds,
	150	! revision history before 2012 removed,
	151	! comment fields (!:) to be used for variable explanations added to
	152	! all variable declaration statements
[1160]	153	!
[1258]	154	! 1257 2013-11-08 15:18:40Z raasch
	155	! loop independent clauses added
	156	!
[1242]	157	! 1241 2013-10-30 11:36:58Z heinze
	158	! Adjust ug and vg at each timestep in case of large_scale_forcing
	159	!
[1160]	160	! 1159 2013-05-21 11:58:22Z fricke
[1159]	161	! Bugfix: Neumann boundary conditions for the velocity components at the
	162	! outflow are in fact radiation boundary conditions using the maximum phase
	163	! velocity that ensures numerical stability (CFL-condition).
	164	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	165	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	166	! u_p, v_p, w_p
[1116]	167	!
	168	! 1115 2013-03-26 18:16:16Z hoffmann
	169	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	170	! boundary-conditions
	171	!
[1114]	172	! 1113 2013-03-10 02:48:14Z raasch
	173	! GPU-porting
	174	! dummy argument "range" removed
	175	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	176	!
[1054]	177	! 1053 2012-11-13 17:11:03Z hoffmann
	178	! boundary conditions for the two new prognostic equations (nr, qr) of the
	179	! two-moment cloud scheme
	180	!
[1037]	181	! 1036 2012-10-22 13:43:42Z raasch
	182	! code put under GPL (PALM 3.9)
	183	!
[997]	184	! 996 2012-09-07 10:41:47Z raasch
	185	! little reformatting
	186	!
[979]	187	! 978 2012-08-09 08:28:32Z fricke
	188	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	189	! Outflow boundary conditions for the velocity components can be set to Neumann
	190	! conditions or to radiation conditions with a horizontal averaged phase
	191	! velocity.
	192	!
[876]	193	! 875 2012-04-02 15:35:15Z gryschka
	194	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	195	!
[1]	196	! Revision 1.1 1997/09/12 06:21:34 raasch
	197	! Initial revision
	198	!
	199	!
	200	! Description:
	201	! ------------
[1682]	202	!> Boundary conditions for the prognostic quantities.
	203	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	204	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	205	!> handled in routine exchange_horiz. Pressure boundary conditions are
	206	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	207	!------------------------------------------------------------------------------!
[1682]	208	SUBROUTINE boundary_conds
	209
[1]	210
[1320]	211	USE arrays_3d, &
	212	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, &
[3241]	213	diss, diss_p, dzu, e_p, nc_p, nr_p, pt, pt_init, pt_p, q, &
	214	q_p, qc_p, qr_p, s, s_p, sa, sa_p, u, u_init, u_m_l, u_m_n, &
	215	u_m_r, u_m_s, u_p, v, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
	216	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s
[2696]	217
[3274]	218	USE basic_constants_and_equations_mod, &
	219	ONLY: kappa
	220
[3294]	221	USE bulk_cloud_model_mod, &
	222	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
	223
[2696]	224	USE chemistry_model_mod, &
	225	ONLY: chem_boundary_conds
	226
[1320]	227	USE control_parameters, &
[3182]	228	ONLY: air_chemistry, bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, &
	229	bc_dirichlet_s, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
	230	bc_radiation_s, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
[3582]	231	child_domain, constant_diffusion, coupling_mode, dt_3d, &
	232	humidity, ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, &
	233	ibc_s_t, ibc_uv_b, ibc_uv_t, intermediate_timestep_count, &
	234	nesting_offline, nudging, ocean_mode, passive_scalar, rans_mode,&
	235	rans_tke_e, tsc, salsa, use_cmax
[1320]	236
	237	USE grid_variables, &
	238	ONLY: ddx, ddy, dx, dy
	239
	240	USE indices, &
[3294]	241	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nzb, nzt
[1320]	242
	243	USE kinds
	244
[3294]	245	USE ocean_mod, &
	246	ONLY: ibc_sa_t
[3274]	247
[1]	248	USE pegrid
	249
[1933]	250	USE pmc_interface, &
[2938]	251	ONLY : nesting_mode, rans_mode_parent
[3467]	252
	253	USE salsa_mod, &
[3582]	254	ONLY: salsa_boundary_conds
[1320]	255
[2232]	256	USE surface_mod, &
[3129]	257	ONLY : bc_h, surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, &
	258	surf_usm_h, surf_usm_v
[1933]	259
[3129]	260	USE turbulence_closure_mod, &
	261	ONLY: c_0
	262
[1]	263	IMPLICIT NONE
	264
[2232]	265	INTEGER(iwp) :: i !< grid index x direction
	266	INTEGER(iwp) :: j !< grid index y direction
	267	INTEGER(iwp) :: k !< grid index z direction
	268	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	269	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	270	INTEGER(iwp) :: m !< running index surface elements
[1]	271
[3562]	272	REAL(wp) :: c_max !< maximum phase velocity allowed by CFL criterion, used for outflow boundary condition
	273	REAL(wp) :: denom !< horizontal gradient of velocity component normal to the outflow boundary
[1]	274
[73]	275
[1]	276	!
[1113]	277	!-- Bottom boundary
	278	IF ( ibc_uv_b == 1 ) THEN
	279	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	280	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	281	ENDIF
[2232]	282	!
	283	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	284	!-- of downward-facing surfaces.
	285	DO l = 0, 1
	286	!
	287	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	288	!-- for downward-facing surfaces at topography bottom (k+1).
	289	kb = MERGE( -1, 1, l == 0 )
	290	!$OMP PARALLEL DO PRIVATE( i, j, k )
	291	DO m = 1, bc_h(l)%ns
	292	i = bc_h(l)%i(m)
	293	j = bc_h(l)%j(m)
	294	k = bc_h(l)%k(m)
	295	w_p(k+kb,j,i) = 0.0_wp
[1113]	296	ENDDO
	297	ENDDO
	298
	299	!
[1762]	300	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	301	IF ( ibc_uv_t == 0 ) THEN
	302	u_p(nzt+1,:,:) = u_init(nzt+1)
	303	v_p(nzt+1,:,:) = v_init(nzt+1)
[1762]	304	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	305	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	306	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	307	ENDIF
	308
[2365]	309	!
	310	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
[3347]	311	IF ( .NOT. child_domain .AND. .NOT. nesting_offline .AND. &
[2365]	312	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
	313	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[1762]	314	ENDIF
	315
[1113]	316	!
[2232]	317	!-- Temperature at bottom and top boundary.
[1113]	318	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	319	!-- the sea surface temperature of the coupled ocean model.
[2232]	320	!-- Dirichlet
[1113]	321	IF ( ibc_pt_b == 0 ) THEN
[2232]	322	DO l = 0, 1
	323	!
	324	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	325	!-- for downward-facing surfaces at topography bottom (k+1).
	326	kb = MERGE( -1, 1, l == 0 )
	327	!$OMP PARALLEL DO PRIVATE( i, j, k )
	328	DO m = 1, bc_h(l)%ns
	329	i = bc_h(l)%i(m)
	330	j = bc_h(l)%j(m)
	331	k = bc_h(l)%k(m)
	332	pt_p(k+kb,j,i) = pt(k+kb,j,i)
[1]	333	ENDDO
	334	ENDDO
[2232]	335	!
	336	!-- Neumann, zero-gradient
[1113]	337	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	338	DO l = 0, 1
	339	!
	340	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	341	!-- for downward-facing surfaces at topography bottom (k+1).
	342	kb = MERGE( -1, 1, l == 0 )
	343	!$OMP PARALLEL DO PRIVATE( i, j, k )
	344	DO m = 1, bc_h(l)%ns
	345	i = bc_h(l)%i(m)
	346	j = bc_h(l)%j(m)
	347	k = bc_h(l)%k(m)
	348	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	349	ENDDO
	350	ENDDO
	351	ENDIF
[1]	352
	353	!
[1113]	354	!-- Temperature at top boundary
	355	IF ( ibc_pt_t == 0 ) THEN
	356	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	357	!
	358	!-- In case of nudging adjust top boundary to pt which is
	359	!-- read in from NUDGING-DATA
	360	IF ( nudging ) THEN
	361	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	362	ENDIF
[1113]	363	ELSEIF ( ibc_pt_t == 1 ) THEN
	364	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	365	ELSEIF ( ibc_pt_t == 2 ) THEN
[1992]	366	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[1113]	367	ENDIF
[1]	368
	369	!
[2938]	370	!-- Boundary conditions for TKE.
	371	!-- Generally Neumann conditions with de/dz=0 are assumed.
[1113]	372	IF ( .NOT. constant_diffusion ) THEN
[2232]	373
[2696]	374	IF ( .NOT. rans_tke_e ) THEN
	375	DO l = 0, 1
[2232]	376	!
[2696]	377	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	378	!-- for downward-facing surfaces at topography bottom (k+1).
	379	kb = MERGE( -1, 1, l == 0 )
	380	!$OMP PARALLEL DO PRIVATE( i, j, k )
	381	DO m = 1, bc_h(l)%ns
	382	i = bc_h(l)%i(m)
	383	j = bc_h(l)%j(m)
	384	k = bc_h(l)%k(m)
	385	e_p(k+kb,j,i) = e_p(k,j,i)
	386	ENDDO
[73]	387	ENDDO
[3129]	388	ELSE
	389	!
	390	!-- Use wall function within constant-flux layer
	391	!-- Upward-facing surfaces
	392	!-- Default surfaces
	393	DO m = 1, surf_def_h(0)%ns
	394	i = surf_def_h(0)%i(m)
	395	j = surf_def_h(0)%j(m)
	396	k = surf_def_h(0)%k(m)
	397	e_p(k,j,i) = ( surf_def_h(0)%us(m) / c_0 )**2
	398	ENDDO
	399	!
	400	!-- Natural surfaces
	401	DO m = 1, surf_lsm_h%ns
	402	i = surf_lsm_h%i(m)
	403	j = surf_lsm_h%j(m)
	404	k = surf_lsm_h%k(m)
	405	e_p(k,j,i) = ( surf_lsm_h%us(m) / c_0 )**2
	406	ENDDO
	407	!
	408	!-- Urban surfaces
	409	DO m = 1, surf_usm_h%ns
	410	i = surf_usm_h%i(m)
	411	j = surf_usm_h%j(m)
	412	k = surf_usm_h%k(m)
	413	e_p(k,j,i) = ( surf_usm_h%us(m) / c_0 )**2
	414	ENDDO
	415	!
	416	!-- Vertical surfaces
	417	DO l = 0, 3
	418	!
	419	!-- Default surfaces
	420	DO m = 1, surf_def_v(l)%ns
	421	i = surf_def_v(l)%i(m)
	422	j = surf_def_v(l)%j(m)
	423	k = surf_def_v(l)%k(m)
	424	e_p(k,j,i) = ( surf_def_v(l)%us(m) / c_0 )**2
	425	ENDDO
	426	!
	427	!-- Natural surfaces
	428	DO m = 1, surf_lsm_v(l)%ns
	429	i = surf_lsm_v(l)%i(m)
	430	j = surf_lsm_v(l)%j(m)
	431	k = surf_lsm_v(l)%k(m)
	432	e_p(k,j,i) = ( surf_lsm_v(l)%us(m) / c_0 )**2
	433	ENDDO
	434	!
	435	!-- Urban surfaces
	436	DO m = 1, surf_usm_v(l)%ns
	437	i = surf_usm_v(l)%i(m)
	438	j = surf_usm_v(l)%j(m)
	439	k = surf_usm_v(l)%k(m)
	440	e_p(k,j,i) = ( surf_usm_v(l)%us(m) / c_0 )**2
	441	ENDDO
	442	ENDDO
[2696]	443	ENDIF
[2232]	444
[3182]	445	IF ( .NOT. child_domain ) THEN
[1762]	446	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[2938]	447	!
	448	!-- Nesting case: if parent operates in RANS mode and child in LES mode,
	449	!-- no TKE is transfered. This case, set Neumann conditions at lateral and
	450	!-- top child boundaries.
	451	!-- If not ( both either in RANS or in LES mode ), TKE boundary condition
	452	!-- is treated in the nesting.
	453	ELSE
	454
	455	IF ( rans_mode_parent .AND. .NOT. rans_mode ) THEN
	456
	457	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[3182]	458	IF ( bc_dirichlet_l ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	459	IF ( bc_dirichlet_r ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	460	IF ( bc_dirichlet_s ) e_p(:,nys-1,:) = e_p(:,nys,:)
	461	IF ( bc_dirichlet_n ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[2938]	462
	463	ENDIF
[1762]	464	ENDIF
[1113]	465	ENDIF
	466
	467	!
[2938]	468	!-- Boundary conditions for TKE dissipation rate.
[3129]	469	IF ( rans_tke_e ) THEN
	470	!
	471	!-- Use wall function within constant-flux layer
	472	!-- Upward-facing surfaces
	473	!-- Default surfaces
	474	DO m = 1, surf_def_h(0)%ns
	475	i = surf_def_h(0)%i(m)
	476	j = surf_def_h(0)%j(m)
	477	k = surf_def_h(0)%k(m)
	478	diss_p(k,j,i) = surf_def_h(0)%us(m)**3 &
	479	/ ( kappa * surf_def_h(0)%z_mo(m) )
	480	ENDDO
	481	!
	482	!-- Natural surfaces
	483	DO m = 1, surf_lsm_h%ns
	484	i = surf_lsm_h%i(m)
	485	j = surf_lsm_h%j(m)
	486	k = surf_lsm_h%k(m)
	487	diss_p(k,j,i) = surf_lsm_h%us(m)**3 &
	488	/ ( kappa * surf_lsm_h%z_mo(m) )
	489	ENDDO
	490	!
	491	!-- Urban surfaces
	492	DO m = 1, surf_usm_h%ns
	493	i = surf_usm_h%i(m)
	494	j = surf_usm_h%j(m)
	495	k = surf_usm_h%k(m)
	496	diss_p(k,j,i) = surf_usm_h%us(m)**3 &
	497	/ ( kappa * surf_usm_h%z_mo(m) )
	498	ENDDO
	499	!
	500	!-- Vertical surfaces
	501	DO l = 0, 3
	502	!
	503	!-- Default surfaces
	504	DO m = 1, surf_def_v(l)%ns
	505	i = surf_def_v(l)%i(m)
	506	j = surf_def_v(l)%j(m)
	507	k = surf_def_v(l)%k(m)
	508	diss_p(k,j,i) = surf_def_v(l)%us(m)**3 &
	509	/ ( kappa * surf_def_v(l)%z_mo(m) )
	510	ENDDO
	511	!
	512	!-- Natural surfaces
	513	DO m = 1, surf_lsm_v(l)%ns
	514	i = surf_lsm_v(l)%i(m)
	515	j = surf_lsm_v(l)%j(m)
	516	k = surf_lsm_v(l)%k(m)
	517	diss_p(k,j,i) = surf_lsm_v(l)%us(m)**3 &
	518	/ ( kappa * surf_lsm_v(l)%z_mo(m) )
	519	ENDDO
	520	!
	521	!-- Urban surfaces
	522	DO m = 1, surf_usm_v(l)%ns
	523	i = surf_usm_v(l)%i(m)
	524	j = surf_usm_v(l)%j(m)
	525	k = surf_usm_v(l)%k(m)
	526	diss_p(k,j,i) = surf_usm_v(l)%us(m)**3 &
	527	/ ( kappa * surf_usm_v(l)%z_mo(m) )
	528	ENDDO
	529	ENDDO
	530	!
	531	!-- Limit change of diss to be between -90% and +100%. Also, set an absolute
	532	!-- minimum value
	533	DO i = nxl, nxr
	534	DO j = nys, nyn
	535	DO k = nzb, nzt+1
	536	diss_p(k,j,i) = MAX( MIN( diss_p(k,j,i), &
	537	2.0_wp * diss(k,j,i) ), &
	538	0.1_wp * diss(k,j,i), &
	539	0.0001_wp )
	540	ENDDO
	541	ENDDO
	542	ENDDO
	543
[3182]	544	IF ( .NOT. child_domain ) THEN
[3129]	545	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
	546	ENDIF
[2696]	547	ENDIF
	548
	549	!
[1113]	550	!-- Boundary conditions for salinity
[3294]	551	IF ( ocean_mode ) THEN
[1113]	552	!
	553	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	554	!-- given.
	555	DO l = 0, 1
	556	!
	557	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	558	!-- for downward-facing surfaces at topography bottom (k+1).
	559	kb = MERGE( -1, 1, l == 0 )
	560	!$OMP PARALLEL DO PRIVATE( i, j, k )
	561	DO m = 1, bc_h(l)%ns
	562	i = bc_h(l)%i(m)
	563	j = bc_h(l)%j(m)
	564	k = bc_h(l)%k(m)
	565	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	566	ENDDO
[1113]	567	ENDDO
[1]	568	!
[1113]	569	!-- Top boundary: Dirichlet or Neumann
	570	IF ( ibc_sa_t == 0 ) THEN
	571	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	572	ELSEIF ( ibc_sa_t == 1 ) THEN
	573	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	574	ENDIF
	575
[1113]	576	ENDIF
	577
[1]	578	!
[1960]	579	!-- Boundary conditions for total water content,
[1113]	580	!-- bottom and top boundary (see also temperature)
[1960]	581	IF ( humidity ) THEN
[1113]	582	!
	583	!-- Surface conditions for constant_humidity_flux
[2232]	584	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	585	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	586	!-- q_p at k-1
[1113]	587	IF ( ibc_q_b == 0 ) THEN
[2232]	588
	589	DO l = 0, 1
	590	!
	591	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	592	!-- for downward-facing surfaces at topography bottom (k+1).
	593	kb = MERGE( -1, 1, l == 0 )
	594	!$OMP PARALLEL DO PRIVATE( i, j, k )
	595	DO m = 1, bc_h(l)%ns
	596	i = bc_h(l)%i(m)
	597	j = bc_h(l)%j(m)
	598	k = bc_h(l)%k(m)
	599	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	600	ENDDO
	601	ENDDO
[2232]	602
[1113]	603	ELSE
[2232]	604
	605	DO l = 0, 1
	606	!
	607	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	608	!-- for downward-facing surfaces at topography bottom (k+1).
	609	kb = MERGE( -1, 1, l == 0 )
	610	!$OMP PARALLEL DO PRIVATE( i, j, k )
	611	DO m = 1, bc_h(l)%ns
	612	i = bc_h(l)%i(m)
	613	j = bc_h(l)%j(m)
	614	k = bc_h(l)%k(m)
	615	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	616	ENDDO
	617	ENDDO
[1113]	618	ENDIF
[95]	619	!
[1113]	620	!-- Top boundary
[1462]	621	IF ( ibc_q_t == 0 ) THEN
	622	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	623	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	624	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	625	ENDIF
[95]	626
[3274]	627	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	628	!
	629	!-- Surface conditions cloud water (Dirichlet)
	630	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	631	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	632	!-- qr_p and nr_p at k-1
	633	!$OMP PARALLEL DO PRIVATE( i, j, k )
	634	DO m = 1, bc_h(0)%ns
	635	i = bc_h(0)%i(m)
	636	j = bc_h(0)%j(m)
	637	k = bc_h(0)%k(m)
	638	qc_p(k-1,j,i) = 0.0_wp
	639	nc_p(k-1,j,i) = 0.0_wp
	640	ENDDO
	641	!
	642	!-- Top boundary condition for cloud water (Dirichlet)
	643	qc_p(nzt+1,:,:) = 0.0_wp
	644	nc_p(nzt+1,:,:) = 0.0_wp
	645
	646	ENDIF
	647
[3274]	648	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1113]	649	!
[1361]	650	!-- Surface conditions rain water (Dirichlet)
[2232]	651	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	652	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	653	!-- qr_p and nr_p at k-1
	654	!$OMP PARALLEL DO PRIVATE( i, j, k )
	655	DO m = 1, bc_h(0)%ns
	656	i = bc_h(0)%i(m)
	657	j = bc_h(0)%j(m)
	658	k = bc_h(0)%k(m)
	659	qr_p(k-1,j,i) = 0.0_wp
	660	nr_p(k-1,j,i) = 0.0_wp
[1115]	661	ENDDO
[1]	662	!
[1361]	663	!-- Top boundary condition for rain water (Dirichlet)
	664	qr_p(nzt+1,:,:) = 0.0_wp
	665	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	666
[1]	667	ENDIF
[1409]	668	ENDIF
[1]	669	!
[1960]	670	!-- Boundary conditions for scalar,
	671	!-- bottom and top boundary (see also temperature)
	672	IF ( passive_scalar ) THEN
	673	!
	674	!-- Surface conditions for constant_humidity_flux
[2232]	675	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	676	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	677	!-- s_p at k-1
[1960]	678	IF ( ibc_s_b == 0 ) THEN
[2232]	679
	680	DO l = 0, 1
	681	!
	682	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	683	!-- for downward-facing surfaces at topography bottom (k+1).
	684	kb = MERGE( -1, 1, l == 0 )
	685	!$OMP PARALLEL DO PRIVATE( i, j, k )
	686	DO m = 1, bc_h(l)%ns
	687	i = bc_h(l)%i(m)
	688	j = bc_h(l)%j(m)
	689	k = bc_h(l)%k(m)
	690	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	691	ENDDO
	692	ENDDO
[2232]	693
[1960]	694	ELSE
[2232]	695
	696	DO l = 0, 1
	697	!
	698	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	699	!-- for downward-facing surfaces at topography bottom (k+1).
	700	kb = MERGE( -1, 1, l == 0 )
	701	!$OMP PARALLEL DO PRIVATE( i, j, k )
	702	DO m = 1, bc_h(l)%ns
	703	i = bc_h(l)%i(m)
	704	j = bc_h(l)%j(m)
	705	k = bc_h(l)%k(m)
	706	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	707	ENDDO
	708	ENDDO
	709	ENDIF
	710	!
[1992]	711	!-- Top boundary condition
	712	IF ( ibc_s_t == 0 ) THEN
[1960]	713	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	714	ELSEIF ( ibc_s_t == 1 ) THEN
	715	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	716	ELSEIF ( ibc_s_t == 2 ) THEN
	717	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	718	ENDIF
	719
	720	ENDIF
	721	!
[2696]	722	!-- Top/bottom boundary conditions for chemical species
	723	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
	724	!
[1762]	725	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	726	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	727	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	728	!-- version) these levels are handled as a prognostic level, boundary values
	729	!-- have to be restored here.
[1409]	730	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[3182]	731	IF ( bc_dirichlet_s ) THEN
[1409]	732	v_p(:,nys,:) = v_p(:,nys-1,:)
	733	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[3182]	734	ELSEIF ( bc_dirichlet_n ) THEN
[1409]	735	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[3182]	736	ELSEIF ( bc_dirichlet_l ) THEN
[1409]	737	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	738	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[3182]	739	ELSEIF ( bc_dirichlet_r ) THEN
[1409]	740	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	741	ENDIF
[1]	742
	743	!
[1762]	744	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	745	!-- in case of nest boundaries. This must not be done in case of vertical nesting
[3182]	746	!-- mode as in that case the lateral boundaries are actually cyclic.
	747	IF ( nesting_mode /= 'vertical' .OR. nesting_offline ) THEN
	748	IF ( bc_dirichlet_s ) THEN
[1933]	749	v_p(:,nys,:) = v_p(:,nys-1,:)
	750	ENDIF
[3182]	751	IF ( bc_dirichlet_l ) THEN
[1933]	752	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	753	ENDIF
[1762]	754	ENDIF
	755
	756	!
[1409]	757	!-- Lateral boundary conditions for scalar quantities at the outflow
[3182]	758	IF ( bc_radiation_s ) THEN
[1409]	759	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	760	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[2696]	761	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
[1960]	762	IF ( humidity ) THEN
[1409]	763	q_p(:,nys-1,:) = q_p(:,nys,:)
[3274]	764	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	765	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	766	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	767	ENDIF
[3274]	768	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	769	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	770	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	771	ENDIF
[1409]	772	ENDIF
[1960]	773	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[3182]	774	ELSEIF ( bc_radiation_n ) THEN
[1409]	775	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
[2696]	776	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	777	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
[1960]	778	IF ( humidity ) THEN
[1409]	779	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[3274]	780	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	781	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	782	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	783	ENDIF
[3274]	784	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	785	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	786	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	787	ENDIF
[1409]	788	ENDIF
[1960]	789	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[3182]	790	ELSEIF ( bc_radiation_l ) THEN
[1409]	791	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
[2696]	792	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	793	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
[1960]	794	IF ( humidity ) THEN
[1409]	795	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[3274]	796	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	797	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	798	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	799	ENDIF
[3274]	800	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	801	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	802	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	803	ENDIF
[1409]	804	ENDIF
[1960]	805	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[3182]	806	ELSEIF ( bc_radiation_r ) THEN
[1409]	807	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
[2696]	808	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	809	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
[1960]	810	IF ( humidity ) THEN
[1409]	811	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[3274]	812	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	813	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	814	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	815	ENDIF
[3274]	816	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	817	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	818	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	819	ENDIF
[1]	820	ENDIF
[1960]	821	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	822	ENDIF
	823
	824	!
[2696]	825	!-- Lateral boundary conditions for chemical species
	826	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
	827
	828	!
[1159]	829	!-- Radiation boundary conditions for the velocities at the respective outflow.
	830	!-- The phase velocity is either assumed to the maximum phase velocity that
	831	!-- ensures numerical stability (CFL-condition) or calculated after
	832	!-- Orlanski(1976) and averaged along the outflow boundary.
[3182]	833	IF ( bc_radiation_s ) THEN
[75]	834
[1159]	835	IF ( use_cmax ) THEN
	836	u_p(:,-1,:) = u(:,0,:)
	837	v_p(:,0,:) = v(:,1,:)
	838	w_p(:,-1,:) = w(:,0,:)
	839	ELSEIF ( .NOT. use_cmax ) THEN
[75]	840
[978]	841	c_max = dy / dt_3d
[75]	842
[1353]	843	c_u_m_l = 0.0_wp
	844	c_v_m_l = 0.0_wp
	845	c_w_m_l = 0.0_wp
[978]	846
[1353]	847	c_u_m = 0.0_wp
	848	c_v_m = 0.0_wp
	849	c_w_m = 0.0_wp
[978]	850
[75]	851	!
[996]	852	!-- Calculate the phase speeds for u, v, and w, first local and then
	853	!-- average along the outflow boundary.
	854	DO k = nzb+1, nzt+1
	855	DO i = nxl, nxr
[75]	856
[106]	857	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	858
[1353]	859	IF ( denom /= 0.0_wp ) THEN
[996]	860	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	861	IF ( c_u(k,i) < 0.0_wp ) THEN
	862	c_u(k,i) = 0.0_wp
[106]	863	ELSEIF ( c_u(k,i) > c_max ) THEN
	864	c_u(k,i) = c_max
	865	ENDIF
	866	ELSE
	867	c_u(k,i) = c_max
[75]	868	ENDIF
	869
[106]	870	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	871
[1353]	872	IF ( denom /= 0.0_wp ) THEN
[996]	873	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	874	IF ( c_v(k,i) < 0.0_wp ) THEN
	875	c_v(k,i) = 0.0_wp
[106]	876	ELSEIF ( c_v(k,i) > c_max ) THEN
	877	c_v(k,i) = c_max
	878	ENDIF
	879	ELSE
	880	c_v(k,i) = c_max
[75]	881	ENDIF
	882
[106]	883	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	884
[1353]	885	IF ( denom /= 0.0_wp ) THEN
[996]	886	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	887	IF ( c_w(k,i) < 0.0_wp ) THEN
	888	c_w(k,i) = 0.0_wp
[106]	889	ELSEIF ( c_w(k,i) > c_max ) THEN
	890	c_w(k,i) = c_max
	891	ENDIF
	892	ELSE
	893	c_w(k,i) = c_max
[75]	894	ENDIF
[106]	895
[978]	896	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	897	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	898	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	899
[978]	900	ENDDO
	901	ENDDO
[75]	902
[978]	903	#if defined( __parallel )
	904	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	905	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	906	MPI_SUM, comm1dx, ierr )
	907	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	908	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	909	MPI_SUM, comm1dx, ierr )
	910	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	911	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	912	MPI_SUM, comm1dx, ierr )
	913	#else
	914	c_u_m = c_u_m_l
	915	c_v_m = c_v_m_l
	916	c_w_m = c_w_m_l
	917	#endif
	918
	919	c_u_m = c_u_m / (nx+1)
	920	c_v_m = c_v_m / (nx+1)
	921	c_w_m = c_w_m / (nx+1)
	922
[75]	923	!
[978]	924	!-- Save old timelevels for the next timestep
	925	IF ( intermediate_timestep_count == 1 ) THEN
	926	u_m_s(:,:,:) = u(:,0:1,:)
	927	v_m_s(:,:,:) = v(:,1:2,:)
	928	w_m_s(:,:,:) = w(:,0:1,:)
	929	ENDIF
	930
	931	!
	932	!-- Calculate the new velocities
[996]	933	DO k = nzb+1, nzt+1
	934	DO i = nxlg, nxrg
[978]	935	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	936	( u(k,-1,i) - u(k,0,i) ) * ddy
	937
[978]	938	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	939	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	940
[978]	941	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	942	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	943	ENDDO
[75]	944	ENDDO
	945
	946	!
[978]	947	!-- Bottom boundary at the outflow
	948	IF ( ibc_uv_b == 0 ) THEN
[1353]	949	u_p(nzb,-1,:) = 0.0_wp
	950	v_p(nzb,0,:) = 0.0_wp
[978]	951	ELSE
	952	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	953	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	954	ENDIF
[1353]	955	w_p(nzb,-1,:) = 0.0_wp
[73]	956
[75]	957	!
[978]	958	!-- Top boundary at the outflow
	959	IF ( ibc_uv_t == 0 ) THEN
	960	u_p(nzt+1,-1,:) = u_init(nzt+1)
	961	v_p(nzt+1,0,:) = v_init(nzt+1)
	962	ELSE
[1742]	963	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	964	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	965	ENDIF
[1353]	966	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	967
[75]	968	ENDIF
[73]	969
[75]	970	ENDIF
[73]	971
[3182]	972	IF ( bc_radiation_n ) THEN
[73]	973
[1159]	974	IF ( use_cmax ) THEN
	975	u_p(:,ny+1,:) = u(:,ny,:)
	976	v_p(:,ny+1,:) = v(:,ny,:)
	977	w_p(:,ny+1,:) = w(:,ny,:)
	978	ELSEIF ( .NOT. use_cmax ) THEN
[75]	979
[978]	980	c_max = dy / dt_3d
[75]	981
[1353]	982	c_u_m_l = 0.0_wp
	983	c_v_m_l = 0.0_wp
	984	c_w_m_l = 0.0_wp
[978]	985
[1353]	986	c_u_m = 0.0_wp
	987	c_v_m = 0.0_wp
	988	c_w_m = 0.0_wp
[978]	989
[1]	990	!
[996]	991	!-- Calculate the phase speeds for u, v, and w, first local and then
	992	!-- average along the outflow boundary.
	993	DO k = nzb+1, nzt+1
	994	DO i = nxl, nxr
[73]	995
[106]	996	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	997
[1353]	998	IF ( denom /= 0.0_wp ) THEN
[996]	999	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1000	IF ( c_u(k,i) < 0.0_wp ) THEN
	1001	c_u(k,i) = 0.0_wp
[106]	1002	ELSEIF ( c_u(k,i) > c_max ) THEN
	1003	c_u(k,i) = c_max
	1004	ENDIF
	1005	ELSE
	1006	c_u(k,i) = c_max
[73]	1007	ENDIF
	1008
[106]	1009	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	1010
[1353]	1011	IF ( denom /= 0.0_wp ) THEN
[996]	1012	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1013	IF ( c_v(k,i) < 0.0_wp ) THEN
	1014	c_v(k,i) = 0.0_wp
[106]	1015	ELSEIF ( c_v(k,i) > c_max ) THEN
	1016	c_v(k,i) = c_max
	1017	ENDIF
	1018	ELSE
	1019	c_v(k,i) = c_max
[73]	1020	ENDIF
	1021
[106]	1022	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	1023
[1353]	1024	IF ( denom /= 0.0_wp ) THEN
[996]	1025	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1026	IF ( c_w(k,i) < 0.0_wp ) THEN
	1027	c_w(k,i) = 0.0_wp
[106]	1028	ELSEIF ( c_w(k,i) > c_max ) THEN
	1029	c_w(k,i) = c_max
	1030	ENDIF
	1031	ELSE
	1032	c_w(k,i) = c_max
[73]	1033	ENDIF
[106]	1034
[978]	1035	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	1036	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	1037	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	1038
[978]	1039	ENDDO
	1040	ENDDO
[73]	1041
[978]	1042	#if defined( __parallel )
	1043	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1044	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1045	MPI_SUM, comm1dx, ierr )
	1046	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1047	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1048	MPI_SUM, comm1dx, ierr )
	1049	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1050	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1051	MPI_SUM, comm1dx, ierr )
	1052	#else
	1053	c_u_m = c_u_m_l
	1054	c_v_m = c_v_m_l
	1055	c_w_m = c_w_m_l
	1056	#endif
	1057
	1058	c_u_m = c_u_m / (nx+1)
	1059	c_v_m = c_v_m / (nx+1)
	1060	c_w_m = c_w_m / (nx+1)
	1061
[73]	1062	!
[978]	1063	!-- Save old timelevels for the next timestep
	1064	IF ( intermediate_timestep_count == 1 ) THEN
	1065	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	1066	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	1067	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	1068	ENDIF
[73]	1069
[978]	1070	!
	1071	!-- Calculate the new velocities
[996]	1072	DO k = nzb+1, nzt+1
	1073	DO i = nxlg, nxrg
[978]	1074	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	1075	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	1076
[978]	1077	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	1078	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	1079
[978]	1080	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	1081	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	1082	ENDDO
[1]	1083	ENDDO
	1084
	1085	!
[978]	1086	!-- Bottom boundary at the outflow
	1087	IF ( ibc_uv_b == 0 ) THEN
[1353]	1088	u_p(nzb,ny+1,:) = 0.0_wp
	1089	v_p(nzb,ny+1,:) = 0.0_wp
[978]	1090	ELSE
	1091	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	1092	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	1093	ENDIF
[1353]	1094	w_p(nzb,ny+1,:) = 0.0_wp
[73]	1095
	1096	!
[978]	1097	!-- Top boundary at the outflow
	1098	IF ( ibc_uv_t == 0 ) THEN
	1099	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	1100	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	1101	ELSE
	1102	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	1103	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	1104	ENDIF
[1353]	1105	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	1106
[1]	1107	ENDIF
	1108
[75]	1109	ENDIF
	1110
[3182]	1111	IF ( bc_radiation_l ) THEN
[75]	1112
[1159]	1113	IF ( use_cmax ) THEN
[1717]	1114	u_p(:,:,0) = u(:,:,1)
	1115	v_p(:,:,-1) = v(:,:,0)
[1159]	1116	w_p(:,:,-1) = w(:,:,0)
	1117	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1118
[978]	1119	c_max = dx / dt_3d
[75]	1120
[1353]	1121	c_u_m_l = 0.0_wp
	1122	c_v_m_l = 0.0_wp
	1123	c_w_m_l = 0.0_wp
[978]	1124
[1353]	1125	c_u_m = 0.0_wp
	1126	c_v_m = 0.0_wp
	1127	c_w_m = 0.0_wp
[978]	1128
[1]	1129	!
[996]	1130	!-- Calculate the phase speeds for u, v, and w, first local and then
	1131	!-- average along the outflow boundary.
	1132	DO k = nzb+1, nzt+1
	1133	DO j = nys, nyn
[75]	1134
[106]	1135	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	1136
[1353]	1137	IF ( denom /= 0.0_wp ) THEN
[996]	1138	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	1139	IF ( c_u(k,j) < 0.0_wp ) THEN
	1140	c_u(k,j) = 0.0_wp
[107]	1141	ELSEIF ( c_u(k,j) > c_max ) THEN
	1142	c_u(k,j) = c_max
[106]	1143	ENDIF
	1144	ELSE
[107]	1145	c_u(k,j) = c_max
[75]	1146	ENDIF
	1147
[106]	1148	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	1149
[1353]	1150	IF ( denom /= 0.0_wp ) THEN
[996]	1151	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1152	IF ( c_v(k,j) < 0.0_wp ) THEN
	1153	c_v(k,j) = 0.0_wp
[106]	1154	ELSEIF ( c_v(k,j) > c_max ) THEN
	1155	c_v(k,j) = c_max
	1156	ENDIF
	1157	ELSE
	1158	c_v(k,j) = c_max
[75]	1159	ENDIF
	1160
[106]	1161	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	1162
[1353]	1163	IF ( denom /= 0.0_wp ) THEN
[996]	1164	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1165	IF ( c_w(k,j) < 0.0_wp ) THEN
	1166	c_w(k,j) = 0.0_wp
[106]	1167	ELSEIF ( c_w(k,j) > c_max ) THEN
	1168	c_w(k,j) = c_max
	1169	ENDIF
	1170	ELSE
	1171	c_w(k,j) = c_max
[75]	1172	ENDIF
[106]	1173
[978]	1174	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1175	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1176	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1177
[978]	1178	ENDDO
	1179	ENDDO
[75]	1180
[978]	1181	#if defined( __parallel )
	1182	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1183	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1184	MPI_SUM, comm1dy, ierr )
	1185	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1186	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1187	MPI_SUM, comm1dy, ierr )
	1188	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1189	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1190	MPI_SUM, comm1dy, ierr )
	1191	#else
	1192	c_u_m = c_u_m_l
	1193	c_v_m = c_v_m_l
	1194	c_w_m = c_w_m_l
	1195	#endif
	1196
	1197	c_u_m = c_u_m / (ny+1)
	1198	c_v_m = c_v_m / (ny+1)
	1199	c_w_m = c_w_m / (ny+1)
	1200
[73]	1201	!
[978]	1202	!-- Save old timelevels for the next timestep
	1203	IF ( intermediate_timestep_count == 1 ) THEN
	1204	u_m_l(:,:,:) = u(:,:,1:2)
	1205	v_m_l(:,:,:) = v(:,:,0:1)
	1206	w_m_l(:,:,:) = w(:,:,0:1)
	1207	ENDIF
	1208
	1209	!
	1210	!-- Calculate the new velocities
[996]	1211	DO k = nzb+1, nzt+1
[1113]	1212	DO j = nysg, nyng
[978]	1213	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	1214	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	1215
[978]	1216	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	1217	( v(k,j,-1) - v(k,j,0) ) * ddx
	1218
[978]	1219	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	1220	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	1221	ENDDO
[75]	1222	ENDDO
	1223
	1224	!
[978]	1225	!-- Bottom boundary at the outflow
	1226	IF ( ibc_uv_b == 0 ) THEN
[1353]	1227	u_p(nzb,:,0) = 0.0_wp
	1228	v_p(nzb,:,-1) = 0.0_wp
[978]	1229	ELSE
	1230	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1231	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1232	ENDIF
[1353]	1233	w_p(nzb,:,-1) = 0.0_wp
[1]	1234
[75]	1235	!
[978]	1236	!-- Top boundary at the outflow
	1237	IF ( ibc_uv_t == 0 ) THEN
[1764]	1238	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1239	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1240	ELSE
[1764]	1241	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1242	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1243	ENDIF
[1353]	1244	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1245
[75]	1246	ENDIF
[73]	1247
[75]	1248	ENDIF
[73]	1249
[3182]	1250	IF ( bc_radiation_r ) THEN
[73]	1251
[1159]	1252	IF ( use_cmax ) THEN
	1253	u_p(:,:,nx+1) = u(:,:,nx)
	1254	v_p(:,:,nx+1) = v(:,:,nx)
	1255	w_p(:,:,nx+1) = w(:,:,nx)
	1256	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1257
[978]	1258	c_max = dx / dt_3d
[75]	1259
[1353]	1260	c_u_m_l = 0.0_wp
	1261	c_v_m_l = 0.0_wp
	1262	c_w_m_l = 0.0_wp
[978]	1263
[1353]	1264	c_u_m = 0.0_wp
	1265	c_v_m = 0.0_wp
	1266	c_w_m = 0.0_wp
[978]	1267
[1]	1268	!
[996]	1269	!-- Calculate the phase speeds for u, v, and w, first local and then
	1270	!-- average along the outflow boundary.
	1271	DO k = nzb+1, nzt+1
	1272	DO j = nys, nyn
[73]	1273
[106]	1274	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1275
[1353]	1276	IF ( denom /= 0.0_wp ) THEN
[996]	1277	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1278	IF ( c_u(k,j) < 0.0_wp ) THEN
	1279	c_u(k,j) = 0.0_wp
[106]	1280	ELSEIF ( c_u(k,j) > c_max ) THEN
	1281	c_u(k,j) = c_max
	1282	ENDIF
	1283	ELSE
	1284	c_u(k,j) = c_max
[73]	1285	ENDIF
	1286
[106]	1287	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1288
[1353]	1289	IF ( denom /= 0.0_wp ) THEN
[996]	1290	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1291	IF ( c_v(k,j) < 0.0_wp ) THEN
	1292	c_v(k,j) = 0.0_wp
[106]	1293	ELSEIF ( c_v(k,j) > c_max ) THEN
	1294	c_v(k,j) = c_max
	1295	ENDIF
	1296	ELSE
	1297	c_v(k,j) = c_max
[73]	1298	ENDIF
	1299
[106]	1300	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1301
[1353]	1302	IF ( denom /= 0.0_wp ) THEN
[996]	1303	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1304	IF ( c_w(k,j) < 0.0_wp ) THEN
	1305	c_w(k,j) = 0.0_wp
[106]	1306	ELSEIF ( c_w(k,j) > c_max ) THEN
	1307	c_w(k,j) = c_max
	1308	ENDIF
	1309	ELSE
	1310	c_w(k,j) = c_max
[73]	1311	ENDIF
[106]	1312
[978]	1313	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1314	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1315	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1316
[978]	1317	ENDDO
	1318	ENDDO
[73]	1319
[978]	1320	#if defined( __parallel )
	1321	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1322	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1323	MPI_SUM, comm1dy, ierr )
	1324	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1325	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1326	MPI_SUM, comm1dy, ierr )
	1327	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1328	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1329	MPI_SUM, comm1dy, ierr )
	1330	#else
	1331	c_u_m = c_u_m_l
	1332	c_v_m = c_v_m_l
	1333	c_w_m = c_w_m_l
	1334	#endif
	1335
	1336	c_u_m = c_u_m / (ny+1)
	1337	c_v_m = c_v_m / (ny+1)
	1338	c_w_m = c_w_m / (ny+1)
	1339
[73]	1340	!
[978]	1341	!-- Save old timelevels for the next timestep
	1342	IF ( intermediate_timestep_count == 1 ) THEN
	1343	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1344	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1345	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1346	ENDIF
[73]	1347
[978]	1348	!
	1349	!-- Calculate the new velocities
[996]	1350	DO k = nzb+1, nzt+1
[1113]	1351	DO j = nysg, nyng
[978]	1352	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1353	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1354
[978]	1355	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1356	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1357
[978]	1358	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1359	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1360	ENDDO
[73]	1361	ENDDO
	1362
	1363	!
[978]	1364	!-- Bottom boundary at the outflow
	1365	IF ( ibc_uv_b == 0 ) THEN
[1353]	1366	u_p(nzb,:,nx+1) = 0.0_wp
	1367	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1368	ELSE
	1369	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1370	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1371	ENDIF
[1353]	1372	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1373
	1374	!
[978]	1375	!-- Top boundary at the outflow
	1376	IF ( ibc_uv_t == 0 ) THEN
	1377	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1378	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1379	ELSE
	1380	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1381	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1382	ENDIF
[1742]	1383	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1384
[1]	1385	ENDIF
	1386
	1387	ENDIF
[3467]	1388
	1389	IF ( salsa ) THEN
	1390	CALL salsa_boundary_conds
	1391	ENDIF
[1]	1392
	1393	END SUBROUTINE boundary_conds

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