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source: palm/trunk/SOURCE/boundary_conds.f90 @ 3499

Last change on this file since 3499 was 3467, checked in by suehring, 6 years ago
Branch salsa @3446 re-integrated into trunk
Property svn:keywords set to `Id`
File size: 46.8 KB

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

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