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source: palm/trunk/SOURCE/boundary_conds.f90 @ 3662

Last change on this file since 3662 was 3655, checked in by knoop, 6 years ago
Bugfix: made "unit" and "found" intend INOUT in module interface subroutines + automatic copyright update
Property svn:keywords set to `Id`
File size: 47.7 KB

Rev	Line
[1682]	1	!> @file boundary_conds.f90
[2000]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1036]	4	!
[2000]	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
[1036]	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
[3655]	17	! Copyright 1997-2019 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 3655 2019-01-07 16:51:22Z suehring $
[3634]	27	! OpenACC port for SPEC
	28	!
	29	! 3589 2018-11-30 15:09:51Z suehring
[3589]	30	! Move the control parameter "salsa" from salsa_mod to control_parameters
	31	! (M. Kurppa)
	32	!
	33	! 3582 2018-11-29 19:16:36Z suehring
[3562]	34	! variables documented
	35	!
	36	! 3467 2018-10-30 19:05:21Z suehring
[3467]	37	! Implementation of a new aerosol module salsa.
	38	!
	39	! 3347 2018-10-15 14:21:08Z suehring
[3347]	40	! Bugfix in setting boundary conditions in offline nesting
	41	!
	42	! 3341 2018-10-15 10:31:27Z suehring
[3294]	43	! changes concerning modularization of ocean option
	44	!
	45	! 3274 2018-09-24 15:42:55Z knoop
[3274]	46	! Modularization of all bulk cloud physics code components
	47	!
	48	! 3241 2018-09-12 15:02:00Z raasch
[3241]	49	! unused variables removed
	50	!
	51	! 3183 2018-07-27 14:25:55Z suehring
[3183]	52	! Rename some variables concerning LES-LES as well as offline nesting
	53	!
	54	! 3182 2018-07-27 13:36:03Z suehring
[3129]	55	! - Use wall function for e_p and diss_p in case of rans_tke_e
	56	! - move limitation of diss_p from tcm_prognostic
	57	!
	58	! 2938 2018-03-27 15:52:42Z suehring
[2938]	59	! Set boundary condition for TKE and TKE dissipation rate in case of nesting
	60	! and if parent model operates in RANS mode but child model in LES mode.
	61	! mode
	62	!
	63	! 2793 2018-02-07 10:54:33Z suehring
[2766]	64	! Removed preprocessor directive __chem
	65	!
	66	! 2718 2018-01-02 08:49:38Z maronga
[2716]	67	! Corrected "Former revisions" section
	68	!
	69	! 2696 2017-12-14 17:12:51Z kanani
	70	! Change in file header (GPL part)
[2696]	71	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
	72	! Implementation of chemistry module (FK)
	73	!
	74	! 2569 2017-10-20 11:54:42Z kanani
[2569]	75	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	76	!
	77	! 2365 2017-08-21 14:59:59Z kanani
[2365]	78	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	79	! on fine grid (SadiqHuq)
	80	!
	81	! 2320 2017-07-21 12:47:43Z suehring
[2320]	82	! Remove unused control parameter large_scale_forcing from only-list
	83	!
	84	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	85	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	86	! includes two more prognostic equations for cloud drop concentration (nc)
	87	! and cloud water content (qc).
	88	!
	89	! 2233 2017-05-30 18:08:54Z suehring
[1321]	90	!
[2233]	91	! 2232 2017-05-30 17:47:52Z suehring
	92	! Set boundary conditions on topography top using flag method.
	93	!
[2119]	94	! 2118 2017-01-17 16:38:49Z raasch
	95	! OpenACC directives removed
	96	!
[2001]	97	! 2000 2016-08-20 18:09:15Z knoop
	98	! Forced header and separation lines into 80 columns
	99	!
[1993]	100	! 1992 2016-08-12 15:14:59Z suehring
	101	! Adjustments for top boundary condition for passive scalar
	102	!
[1961]	103	! 1960 2016-07-12 16:34:24Z suehring
	104	! Treat humidity and passive scalar separately
	105	!
[1933]	106	! 1823 2016-04-07 08:57:52Z hoffmann
	107	! Initial version of purely vertical nesting introduced.
	108	!
[1823]	109	! 1822 2016-04-07 07:49:42Z hoffmann
	110	! icloud_scheme removed. microphyisics_seifert added.
	111	!
[1765]	112	! 1764 2016-02-28 12:45:19Z raasch
	113	! index bug for u_p at left outflow removed
	114	!
[1763]	115	! 1762 2016-02-25 12:31:13Z hellstea
	116	! Introduction of nested domain feature
	117	!
[1744]	118	! 1742 2016-01-13 09:50:06Z raasch
	119	! bugfix for outflow Neumann boundary conditions at bottom and top
	120	!
[1718]	121	! 1717 2015-11-11 15:09:47Z raasch
	122	! Bugfix: index error in outflow conditions for left boundary
	123	!
[1683]	124	! 1682 2015-10-07 23:56:08Z knoop
	125	! Code annotations made doxygen readable
	126	!
[1717]	127	! 1410 2014-05-23 12:16:18Z suehring
[1463]	128	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	129	! top
	130	!
[1410]	131	! 1399 2014-05-07 11:16:25Z heinze
	132	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	133	! is used.
	134	!
[1399]	135	! 1398 2014-05-07 11:15:00Z heinze
	136	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	137	! for large_scale_forcing
	138	!
[1381]	139	! 1380 2014-04-28 12:40:45Z heinze
	140	! Adjust Dirichlet-condition at the top for pt in case of nudging
	141	!
[1362]	142	! 1361 2014-04-16 15:17:48Z hoffmann
	143	! Bottom and top boundary conditions of rain water content (qr) and
	144	! rain drop concentration (nr) changed to Dirichlet
	145	!
[1354]	146	! 1353 2014-04-08 15:21:23Z heinze
	147	! REAL constants provided with KIND-attribute
	148	!
[1321]	149	! 1320 2014-03-20 08:40:49Z raasch
[1320]	150	! ONLY-attribute added to USE-statements,
	151	! kind-parameters added to all INTEGER and REAL declaration statements,
	152	! kinds are defined in new module kinds,
	153	! revision history before 2012 removed,
	154	! comment fields (!:) to be used for variable explanations added to
	155	! all variable declaration statements
[1160]	156	!
[1258]	157	! 1257 2013-11-08 15:18:40Z raasch
	158	! loop independent clauses added
	159	!
[1242]	160	! 1241 2013-10-30 11:36:58Z heinze
	161	! Adjust ug and vg at each timestep in case of large_scale_forcing
	162	!
[1160]	163	! 1159 2013-05-21 11:58:22Z fricke
[1159]	164	! Bugfix: Neumann boundary conditions for the velocity components at the
	165	! outflow are in fact radiation boundary conditions using the maximum phase
	166	! velocity that ensures numerical stability (CFL-condition).
	167	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	168	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	169	! u_p, v_p, w_p
[1116]	170	!
	171	! 1115 2013-03-26 18:16:16Z hoffmann
	172	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	173	! boundary-conditions
	174	!
[1114]	175	! 1113 2013-03-10 02:48:14Z raasch
	176	! GPU-porting
	177	! dummy argument "range" removed
	178	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	179	!
[1054]	180	! 1053 2012-11-13 17:11:03Z hoffmann
	181	! boundary conditions for the two new prognostic equations (nr, qr) of the
	182	! two-moment cloud scheme
	183	!
[1037]	184	! 1036 2012-10-22 13:43:42Z raasch
	185	! code put under GPL (PALM 3.9)
	186	!
[997]	187	! 996 2012-09-07 10:41:47Z raasch
	188	! little reformatting
	189	!
[979]	190	! 978 2012-08-09 08:28:32Z fricke
	191	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	192	! Outflow boundary conditions for the velocity components can be set to Neumann
	193	! conditions or to radiation conditions with a horizontal averaged phase
	194	! velocity.
	195	!
[876]	196	! 875 2012-04-02 15:35:15Z gryschka
	197	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	198	!
[1]	199	! Revision 1.1 1997/09/12 06:21:34 raasch
	200	! Initial revision
	201	!
	202	!
	203	! Description:
	204	! ------------
[1682]	205	!> Boundary conditions for the prognostic quantities.
	206	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	207	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	208	!> handled in routine exchange_horiz. Pressure boundary conditions are
	209	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	210	!------------------------------------------------------------------------------!
[1682]	211	SUBROUTINE boundary_conds
	212
[1]	213
[1320]	214	USE arrays_3d, &
	215	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]	216	diss, diss_p, dzu, e_p, nc_p, nr_p, pt, pt_init, pt_p, q, &
	217	q_p, qc_p, qr_p, s, s_p, sa, sa_p, u, u_init, u_m_l, u_m_n, &
	218	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, &
	219	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s
[2696]	220
[3274]	221	USE basic_constants_and_equations_mod, &
	222	ONLY: kappa
	223
[3294]	224	USE bulk_cloud_model_mod, &
	225	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
	226
[2696]	227	USE chemistry_model_mod, &
	228	ONLY: chem_boundary_conds
	229
[1320]	230	USE control_parameters, &
[3182]	231	ONLY: air_chemistry, bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, &
	232	bc_dirichlet_s, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
	233	bc_radiation_s, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
[3582]	234	child_domain, constant_diffusion, coupling_mode, dt_3d, &
	235	humidity, ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, &
	236	ibc_s_t, ibc_uv_b, ibc_uv_t, intermediate_timestep_count, &
	237	nesting_offline, nudging, ocean_mode, passive_scalar, rans_mode,&
	238	rans_tke_e, tsc, salsa, use_cmax
[1320]	239
	240	USE grid_variables, &
	241	ONLY: ddx, ddy, dx, dy
	242
	243	USE indices, &
[3294]	244	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nzb, nzt
[1320]	245
	246	USE kinds
	247
[3294]	248	USE ocean_mod, &
	249	ONLY: ibc_sa_t
[3274]	250
[1]	251	USE pegrid
	252
[1933]	253	USE pmc_interface, &
[2938]	254	ONLY : nesting_mode, rans_mode_parent
[3467]	255
	256	USE salsa_mod, &
[3582]	257	ONLY: salsa_boundary_conds
[1320]	258
[2232]	259	USE surface_mod, &
[3129]	260	ONLY : bc_h, surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, &
	261	surf_usm_h, surf_usm_v
[1933]	262
[3129]	263	USE turbulence_closure_mod, &
	264	ONLY: c_0
	265
[1]	266	IMPLICIT NONE
	267
[2232]	268	INTEGER(iwp) :: i !< grid index x direction
	269	INTEGER(iwp) :: j !< grid index y direction
	270	INTEGER(iwp) :: k !< grid index z direction
	271	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	272	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	273	INTEGER(iwp) :: m !< running index surface elements
[1]	274
[3562]	275	REAL(wp) :: c_max !< maximum phase velocity allowed by CFL criterion, used for outflow boundary condition
	276	REAL(wp) :: denom !< horizontal gradient of velocity component normal to the outflow boundary
[1]	277
[73]	278
[1]	279	!
[1113]	280	!-- Bottom boundary
	281	IF ( ibc_uv_b == 1 ) THEN
	282	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	283	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	284	ENDIF
[2232]	285	!
	286	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	287	!-- of downward-facing surfaces.
	288	DO l = 0, 1
	289	!
	290	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	291	!-- for downward-facing surfaces at topography bottom (k+1).
	292	kb = MERGE( -1, 1, l == 0 )
	293	!$OMP PARALLEL DO PRIVATE( i, j, k )
[3634]	294	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
	295	!$ACC PRESENT(bc_h, w_p)
[2232]	296	DO m = 1, bc_h(l)%ns
	297	i = bc_h(l)%i(m)
	298	j = bc_h(l)%j(m)
	299	k = bc_h(l)%k(m)
	300	w_p(k+kb,j,i) = 0.0_wp
[1113]	301	ENDDO
	302	ENDDO
	303
	304	!
[1762]	305	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	306	IF ( ibc_uv_t == 0 ) THEN
[3634]	307	!$ACC KERNELS PRESENT(u_p, v_p, u_init, v_init)
[1113]	308	u_p(nzt+1,:,:) = u_init(nzt+1)
	309	v_p(nzt+1,:,:) = v_init(nzt+1)
[3634]	310	!$ACC END KERNELS
[1762]	311	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	312	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	313	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	314	ENDIF
	315
[2365]	316	!
	317	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
[3347]	318	IF ( .NOT. child_domain .AND. .NOT. nesting_offline .AND. &
[2365]	319	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
[3634]	320	!$ACC KERNELS PRESENT(w_p)
[2365]	321	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[3634]	322	!$ACC END KERNELS
[1762]	323	ENDIF
	324
[1113]	325	!
[2232]	326	!-- Temperature at bottom and top boundary.
[1113]	327	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	328	!-- the sea surface temperature of the coupled ocean model.
[2232]	329	!-- Dirichlet
[1113]	330	IF ( ibc_pt_b == 0 ) THEN
[2232]	331	DO l = 0, 1
	332	!
	333	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	334	!-- for downward-facing surfaces at topography bottom (k+1).
	335	kb = MERGE( -1, 1, l == 0 )
	336	!$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(k+kb,j,i)
[1]	342	ENDDO
	343	ENDDO
[2232]	344	!
	345	!-- Neumann, zero-gradient
[1113]	346	ELSEIF ( ibc_pt_b == 1 ) THEN
[2232]	347	DO l = 0, 1
	348	!
	349	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	350	!-- for downward-facing surfaces at topography bottom (k+1).
	351	kb = MERGE( -1, 1, l == 0 )
	352	!$OMP PARALLEL DO PRIVATE( i, j, k )
[3634]	353	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
	354	!$ACC PRESENT(bc_h, pt_p)
[2232]	355	DO m = 1, bc_h(l)%ns
	356	i = bc_h(l)%i(m)
	357	j = bc_h(l)%j(m)
	358	k = bc_h(l)%k(m)
	359	pt_p(k+kb,j,i) = pt_p(k,j,i)
[1113]	360	ENDDO
	361	ENDDO
	362	ENDIF
[1]	363
	364	!
[1113]	365	!-- Temperature at top boundary
	366	IF ( ibc_pt_t == 0 ) THEN
	367	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
[1380]	368	!
	369	!-- In case of nudging adjust top boundary to pt which is
	370	!-- read in from NUDGING-DATA
	371	IF ( nudging ) THEN
	372	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	373	ENDIF
[1113]	374	ELSEIF ( ibc_pt_t == 1 ) THEN
	375	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	376	ELSEIF ( ibc_pt_t == 2 ) THEN
[3634]	377	!$ACC KERNELS PRESENT(pt_p, dzu)
[1992]	378	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
[3634]	379	!$ACC END KERNELS
[1113]	380	ENDIF
[1]	381
	382	!
[2938]	383	!-- Boundary conditions for TKE.
	384	!-- Generally Neumann conditions with de/dz=0 are assumed.
[1113]	385	IF ( .NOT. constant_diffusion ) THEN
[2232]	386
[2696]	387	IF ( .NOT. rans_tke_e ) THEN
	388	DO l = 0, 1
[2232]	389	!
[2696]	390	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	391	!-- for downward-facing surfaces at topography bottom (k+1).
	392	kb = MERGE( -1, 1, l == 0 )
	393	!$OMP PARALLEL DO PRIVATE( i, j, k )
[3634]	394	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
	395	!$ACC PRESENT(bc_h, e_p)
[2696]	396	DO m = 1, bc_h(l)%ns
	397	i = bc_h(l)%i(m)
	398	j = bc_h(l)%j(m)
	399	k = bc_h(l)%k(m)
	400	e_p(k+kb,j,i) = e_p(k,j,i)
	401	ENDDO
[73]	402	ENDDO
[3129]	403	ELSE
	404	!
	405	!-- Use wall function within constant-flux layer
	406	!-- Upward-facing surfaces
	407	!-- Default surfaces
	408	DO m = 1, surf_def_h(0)%ns
	409	i = surf_def_h(0)%i(m)
	410	j = surf_def_h(0)%j(m)
	411	k = surf_def_h(0)%k(m)
	412	e_p(k,j,i) = ( surf_def_h(0)%us(m) / c_0 )**2
	413	ENDDO
	414	!
	415	!-- Natural surfaces
	416	DO m = 1, surf_lsm_h%ns
	417	i = surf_lsm_h%i(m)
	418	j = surf_lsm_h%j(m)
	419	k = surf_lsm_h%k(m)
	420	e_p(k,j,i) = ( surf_lsm_h%us(m) / c_0 )**2
	421	ENDDO
	422	!
	423	!-- Urban surfaces
	424	DO m = 1, surf_usm_h%ns
	425	i = surf_usm_h%i(m)
	426	j = surf_usm_h%j(m)
	427	k = surf_usm_h%k(m)
	428	e_p(k,j,i) = ( surf_usm_h%us(m) / c_0 )**2
	429	ENDDO
	430	!
	431	!-- Vertical surfaces
	432	DO l = 0, 3
	433	!
	434	!-- Default surfaces
	435	DO m = 1, surf_def_v(l)%ns
	436	i = surf_def_v(l)%i(m)
	437	j = surf_def_v(l)%j(m)
	438	k = surf_def_v(l)%k(m)
	439	e_p(k,j,i) = ( surf_def_v(l)%us(m) / c_0 )**2
	440	ENDDO
	441	!
	442	!-- Natural surfaces
	443	DO m = 1, surf_lsm_v(l)%ns
	444	i = surf_lsm_v(l)%i(m)
	445	j = surf_lsm_v(l)%j(m)
	446	k = surf_lsm_v(l)%k(m)
	447	e_p(k,j,i) = ( surf_lsm_v(l)%us(m) / c_0 )**2
	448	ENDDO
	449	!
	450	!-- Urban surfaces
	451	DO m = 1, surf_usm_v(l)%ns
	452	i = surf_usm_v(l)%i(m)
	453	j = surf_usm_v(l)%j(m)
	454	k = surf_usm_v(l)%k(m)
	455	e_p(k,j,i) = ( surf_usm_v(l)%us(m) / c_0 )**2
	456	ENDDO
	457	ENDDO
[2696]	458	ENDIF
[2232]	459
[3182]	460	IF ( .NOT. child_domain ) THEN
[3634]	461	!$ACC KERNELS PRESENT(e_p)
[1762]	462	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[3634]	463	!$ACC END KERNELS
[2938]	464	!
	465	!-- Nesting case: if parent operates in RANS mode and child in LES mode,
	466	!-- no TKE is transfered. This case, set Neumann conditions at lateral and
	467	!-- top child boundaries.
	468	!-- If not ( both either in RANS or in LES mode ), TKE boundary condition
	469	!-- is treated in the nesting.
	470	ELSE
	471
	472	IF ( rans_mode_parent .AND. .NOT. rans_mode ) THEN
	473
	474	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[3182]	475	IF ( bc_dirichlet_l ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	476	IF ( bc_dirichlet_r ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	477	IF ( bc_dirichlet_s ) e_p(:,nys-1,:) = e_p(:,nys,:)
	478	IF ( bc_dirichlet_n ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[2938]	479
	480	ENDIF
[1762]	481	ENDIF
[1113]	482	ENDIF
	483
	484	!
[2938]	485	!-- Boundary conditions for TKE dissipation rate.
[3129]	486	IF ( rans_tke_e ) THEN
	487	!
	488	!-- Use wall function within constant-flux layer
	489	!-- Upward-facing surfaces
	490	!-- Default surfaces
	491	DO m = 1, surf_def_h(0)%ns
	492	i = surf_def_h(0)%i(m)
	493	j = surf_def_h(0)%j(m)
	494	k = surf_def_h(0)%k(m)
	495	diss_p(k,j,i) = surf_def_h(0)%us(m)**3 &
	496	/ ( kappa * surf_def_h(0)%z_mo(m) )
	497	ENDDO
	498	!
	499	!-- Natural surfaces
	500	DO m = 1, surf_lsm_h%ns
	501	i = surf_lsm_h%i(m)
	502	j = surf_lsm_h%j(m)
	503	k = surf_lsm_h%k(m)
	504	diss_p(k,j,i) = surf_lsm_h%us(m)**3 &
	505	/ ( kappa * surf_lsm_h%z_mo(m) )
	506	ENDDO
	507	!
	508	!-- Urban surfaces
	509	DO m = 1, surf_usm_h%ns
	510	i = surf_usm_h%i(m)
	511	j = surf_usm_h%j(m)
	512	k = surf_usm_h%k(m)
	513	diss_p(k,j,i) = surf_usm_h%us(m)**3 &
	514	/ ( kappa * surf_usm_h%z_mo(m) )
	515	ENDDO
	516	!
	517	!-- Vertical surfaces
	518	DO l = 0, 3
	519	!
	520	!-- Default surfaces
	521	DO m = 1, surf_def_v(l)%ns
	522	i = surf_def_v(l)%i(m)
	523	j = surf_def_v(l)%j(m)
	524	k = surf_def_v(l)%k(m)
	525	diss_p(k,j,i) = surf_def_v(l)%us(m)**3 &
	526	/ ( kappa * surf_def_v(l)%z_mo(m) )
	527	ENDDO
	528	!
	529	!-- Natural surfaces
	530	DO m = 1, surf_lsm_v(l)%ns
	531	i = surf_lsm_v(l)%i(m)
	532	j = surf_lsm_v(l)%j(m)
	533	k = surf_lsm_v(l)%k(m)
	534	diss_p(k,j,i) = surf_lsm_v(l)%us(m)**3 &
	535	/ ( kappa * surf_lsm_v(l)%z_mo(m) )
	536	ENDDO
	537	!
	538	!-- Urban surfaces
	539	DO m = 1, surf_usm_v(l)%ns
	540	i = surf_usm_v(l)%i(m)
	541	j = surf_usm_v(l)%j(m)
	542	k = surf_usm_v(l)%k(m)
	543	diss_p(k,j,i) = surf_usm_v(l)%us(m)**3 &
	544	/ ( kappa * surf_usm_v(l)%z_mo(m) )
	545	ENDDO
	546	ENDDO
	547	!
	548	!-- Limit change of diss to be between -90% and +100%. Also, set an absolute
	549	!-- minimum value
	550	DO i = nxl, nxr
	551	DO j = nys, nyn
	552	DO k = nzb, nzt+1
	553	diss_p(k,j,i) = MAX( MIN( diss_p(k,j,i), &
	554	2.0_wp * diss(k,j,i) ), &
	555	0.1_wp * diss(k,j,i), &
	556	0.0001_wp )
	557	ENDDO
	558	ENDDO
	559	ENDDO
	560
[3182]	561	IF ( .NOT. child_domain ) THEN
[3129]	562	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
	563	ENDIF
[2696]	564	ENDIF
	565
	566	!
[1113]	567	!-- Boundary conditions for salinity
[3294]	568	IF ( ocean_mode ) THEN
[1113]	569	!
	570	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	571	!-- given.
	572	DO l = 0, 1
	573	!
	574	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	575	!-- for downward-facing surfaces at topography bottom (k+1).
	576	kb = MERGE( -1, 1, l == 0 )
	577	!$OMP PARALLEL DO PRIVATE( i, j, k )
	578	DO m = 1, bc_h(l)%ns
	579	i = bc_h(l)%i(m)
	580	j = bc_h(l)%j(m)
	581	k = bc_h(l)%k(m)
	582	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	583	ENDDO
[1113]	584	ENDDO
[1]	585	!
[1113]	586	!-- Top boundary: Dirichlet or Neumann
	587	IF ( ibc_sa_t == 0 ) THEN
	588	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	589	ELSEIF ( ibc_sa_t == 1 ) THEN
	590	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	591	ENDIF
	592
[1113]	593	ENDIF
	594
[1]	595	!
[1960]	596	!-- Boundary conditions for total water content,
[1113]	597	!-- bottom and top boundary (see also temperature)
[1960]	598	IF ( humidity ) THEN
[1113]	599	!
	600	!-- Surface conditions for constant_humidity_flux
[2232]	601	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	602	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	603	!-- q_p at k-1
[1113]	604	IF ( ibc_q_b == 0 ) THEN
[2232]	605
	606	DO l = 0, 1
	607	!
	608	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	609	!-- for downward-facing surfaces at topography bottom (k+1).
	610	kb = MERGE( -1, 1, l == 0 )
	611	!$OMP PARALLEL DO PRIVATE( i, j, k )
	612	DO m = 1, bc_h(l)%ns
	613	i = bc_h(l)%i(m)
	614	j = bc_h(l)%j(m)
	615	k = bc_h(l)%k(m)
	616	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	617	ENDDO
	618	ENDDO
[2232]	619
[1113]	620	ELSE
[2232]	621
	622	DO l = 0, 1
	623	!
	624	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	625	!-- for downward-facing surfaces at topography bottom (k+1).
	626	kb = MERGE( -1, 1, l == 0 )
	627	!$OMP PARALLEL DO PRIVATE( i, j, k )
	628	DO m = 1, bc_h(l)%ns
	629	i = bc_h(l)%i(m)
	630	j = bc_h(l)%j(m)
	631	k = bc_h(l)%k(m)
	632	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	633	ENDDO
	634	ENDDO
[1113]	635	ENDIF
[95]	636	!
[1113]	637	!-- Top boundary
[1462]	638	IF ( ibc_q_t == 0 ) THEN
	639	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	640	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	641	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	642	ENDIF
[95]	643
[3274]	644	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	645	!
	646	!-- Surface conditions cloud water (Dirichlet)
	647	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	648	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	649	!-- qr_p and nr_p at k-1
	650	!$OMP PARALLEL DO PRIVATE( i, j, k )
	651	DO m = 1, bc_h(0)%ns
	652	i = bc_h(0)%i(m)
	653	j = bc_h(0)%j(m)
	654	k = bc_h(0)%k(m)
	655	qc_p(k-1,j,i) = 0.0_wp
	656	nc_p(k-1,j,i) = 0.0_wp
	657	ENDDO
	658	!
	659	!-- Top boundary condition for cloud water (Dirichlet)
	660	qc_p(nzt+1,:,:) = 0.0_wp
	661	nc_p(nzt+1,:,:) = 0.0_wp
	662
	663	ENDIF
	664
[3274]	665	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1113]	666	!
[1361]	667	!-- Surface conditions rain water (Dirichlet)
[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	!-- qr_p and nr_p at k-1
	671	!$OMP PARALLEL DO PRIVATE( i, j, k )
	672	DO m = 1, bc_h(0)%ns
	673	i = bc_h(0)%i(m)
	674	j = bc_h(0)%j(m)
	675	k = bc_h(0)%k(m)
	676	qr_p(k-1,j,i) = 0.0_wp
	677	nr_p(k-1,j,i) = 0.0_wp
[1115]	678	ENDDO
[1]	679	!
[1361]	680	!-- Top boundary condition for rain water (Dirichlet)
	681	qr_p(nzt+1,:,:) = 0.0_wp
	682	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	683
[1]	684	ENDIF
[1409]	685	ENDIF
[1]	686	!
[1960]	687	!-- Boundary conditions for scalar,
	688	!-- bottom and top boundary (see also temperature)
	689	IF ( passive_scalar ) THEN
	690	!
	691	!-- Surface conditions for constant_humidity_flux
[2232]	692	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	693	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	694	!-- s_p at k-1
[1960]	695	IF ( ibc_s_b == 0 ) THEN
[2232]	696
	697	DO l = 0, 1
	698	!
	699	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	700	!-- for downward-facing surfaces at topography bottom (k+1).
	701	kb = MERGE( -1, 1, l == 0 )
	702	!$OMP PARALLEL DO PRIVATE( i, j, k )
	703	DO m = 1, bc_h(l)%ns
	704	i = bc_h(l)%i(m)
	705	j = bc_h(l)%j(m)
	706	k = bc_h(l)%k(m)
	707	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	708	ENDDO
	709	ENDDO
[2232]	710
[1960]	711	ELSE
[2232]	712
	713	DO l = 0, 1
	714	!
	715	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	716	!-- for downward-facing surfaces at topography bottom (k+1).
	717	kb = MERGE( -1, 1, l == 0 )
	718	!$OMP PARALLEL DO PRIVATE( i, j, k )
	719	DO m = 1, bc_h(l)%ns
	720	i = bc_h(l)%i(m)
	721	j = bc_h(l)%j(m)
	722	k = bc_h(l)%k(m)
	723	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	724	ENDDO
	725	ENDDO
	726	ENDIF
	727	!
[1992]	728	!-- Top boundary condition
	729	IF ( ibc_s_t == 0 ) THEN
[1960]	730	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	731	ELSEIF ( ibc_s_t == 1 ) THEN
	732	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	733	ELSEIF ( ibc_s_t == 2 ) THEN
	734	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	735	ENDIF
	736
	737	ENDIF
	738	!
[2696]	739	!-- Top/bottom boundary conditions for chemical species
	740	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
	741	!
[1762]	742	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	743	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	744	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	745	!-- version) these levels are handled as a prognostic level, boundary values
	746	!-- have to be restored here.
[1409]	747	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[3182]	748	IF ( bc_dirichlet_s ) THEN
[1409]	749	v_p(:,nys,:) = v_p(:,nys-1,:)
	750	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[3182]	751	ELSEIF ( bc_dirichlet_n ) THEN
[1409]	752	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[3182]	753	ELSEIF ( bc_dirichlet_l ) THEN
[1409]	754	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	755	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[3182]	756	ELSEIF ( bc_dirichlet_r ) THEN
[1409]	757	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	758	ENDIF
[1]	759
	760	!
[1762]	761	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	762	!-- in case of nest boundaries. This must not be done in case of vertical nesting
[3182]	763	!-- mode as in that case the lateral boundaries are actually cyclic.
	764	IF ( nesting_mode /= 'vertical' .OR. nesting_offline ) THEN
	765	IF ( bc_dirichlet_s ) THEN
[1933]	766	v_p(:,nys,:) = v_p(:,nys-1,:)
	767	ENDIF
[3182]	768	IF ( bc_dirichlet_l ) THEN
[1933]	769	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	770	ENDIF
[1762]	771	ENDIF
	772
	773	!
[1409]	774	!-- Lateral boundary conditions for scalar quantities at the outflow
[3182]	775	IF ( bc_radiation_s ) THEN
[1409]	776	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	777	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[2696]	778	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
[1960]	779	IF ( humidity ) THEN
[1409]	780	q_p(:,nys-1,:) = q_p(:,nys,:)
[3274]	781	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	782	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	783	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	784	ENDIF
[3274]	785	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	786	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	787	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	788	ENDIF
[1409]	789	ENDIF
[1960]	790	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[3182]	791	ELSEIF ( bc_radiation_n ) THEN
[1409]	792	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
[2696]	793	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	794	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
[1960]	795	IF ( humidity ) THEN
[1409]	796	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[3274]	797	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	798	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	799	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	800	ENDIF
[3274]	801	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	802	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	803	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	804	ENDIF
[1409]	805	ENDIF
[1960]	806	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[3182]	807	ELSEIF ( bc_radiation_l ) THEN
[1409]	808	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
[2696]	809	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	810	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
[1960]	811	IF ( humidity ) THEN
[1409]	812	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[3274]	813	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	814	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	815	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	816	ENDIF
[3274]	817	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	818	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	819	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	820	ENDIF
[1409]	821	ENDIF
[1960]	822	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[3182]	823	ELSEIF ( bc_radiation_r ) THEN
[1409]	824	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
[2696]	825	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	826	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
[1960]	827	IF ( humidity ) THEN
[1409]	828	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[3274]	829	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	830	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	831	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	832	ENDIF
[3274]	833	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	834	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	835	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	836	ENDIF
[1]	837	ENDIF
[1960]	838	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	839	ENDIF
	840
	841	!
[2696]	842	!-- Lateral boundary conditions for chemical species
	843	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
	844
	845	!
[1159]	846	!-- Radiation boundary conditions for the velocities at the respective outflow.
	847	!-- The phase velocity is either assumed to the maximum phase velocity that
	848	!-- ensures numerical stability (CFL-condition) or calculated after
	849	!-- Orlanski(1976) and averaged along the outflow boundary.
[3182]	850	IF ( bc_radiation_s ) THEN
[75]	851
[1159]	852	IF ( use_cmax ) THEN
	853	u_p(:,-1,:) = u(:,0,:)
	854	v_p(:,0,:) = v(:,1,:)
	855	w_p(:,-1,:) = w(:,0,:)
	856	ELSEIF ( .NOT. use_cmax ) THEN
[75]	857
[978]	858	c_max = dy / dt_3d
[75]	859
[1353]	860	c_u_m_l = 0.0_wp
	861	c_v_m_l = 0.0_wp
	862	c_w_m_l = 0.0_wp
[978]	863
[1353]	864	c_u_m = 0.0_wp
	865	c_v_m = 0.0_wp
	866	c_w_m = 0.0_wp
[978]	867
[75]	868	!
[996]	869	!-- Calculate the phase speeds for u, v, and w, first local and then
	870	!-- average along the outflow boundary.
	871	DO k = nzb+1, nzt+1
	872	DO i = nxl, nxr
[75]	873
[106]	874	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	875
[1353]	876	IF ( denom /= 0.0_wp ) THEN
[996]	877	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	878	IF ( c_u(k,i) < 0.0_wp ) THEN
	879	c_u(k,i) = 0.0_wp
[106]	880	ELSEIF ( c_u(k,i) > c_max ) THEN
	881	c_u(k,i) = c_max
	882	ENDIF
	883	ELSE
	884	c_u(k,i) = c_max
[75]	885	ENDIF
	886
[106]	887	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	888
[1353]	889	IF ( denom /= 0.0_wp ) THEN
[996]	890	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	891	IF ( c_v(k,i) < 0.0_wp ) THEN
	892	c_v(k,i) = 0.0_wp
[106]	893	ELSEIF ( c_v(k,i) > c_max ) THEN
	894	c_v(k,i) = c_max
	895	ENDIF
	896	ELSE
	897	c_v(k,i) = c_max
[75]	898	ENDIF
	899
[106]	900	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	901
[1353]	902	IF ( denom /= 0.0_wp ) THEN
[996]	903	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	904	IF ( c_w(k,i) < 0.0_wp ) THEN
	905	c_w(k,i) = 0.0_wp
[106]	906	ELSEIF ( c_w(k,i) > c_max ) THEN
	907	c_w(k,i) = c_max
	908	ENDIF
	909	ELSE
	910	c_w(k,i) = c_max
[75]	911	ENDIF
[106]	912
[978]	913	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	914	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	915	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	916
[978]	917	ENDDO
	918	ENDDO
[75]	919
[978]	920	#if defined( __parallel )
	921	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	922	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	923	MPI_SUM, comm1dx, ierr )
	924	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	925	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	926	MPI_SUM, comm1dx, ierr )
	927	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	928	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	929	MPI_SUM, comm1dx, ierr )
	930	#else
	931	c_u_m = c_u_m_l
	932	c_v_m = c_v_m_l
	933	c_w_m = c_w_m_l
	934	#endif
	935
	936	c_u_m = c_u_m / (nx+1)
	937	c_v_m = c_v_m / (nx+1)
	938	c_w_m = c_w_m / (nx+1)
	939
[75]	940	!
[978]	941	!-- Save old timelevels for the next timestep
	942	IF ( intermediate_timestep_count == 1 ) THEN
	943	u_m_s(:,:,:) = u(:,0:1,:)
	944	v_m_s(:,:,:) = v(:,1:2,:)
	945	w_m_s(:,:,:) = w(:,0:1,:)
	946	ENDIF
	947
	948	!
	949	!-- Calculate the new velocities
[996]	950	DO k = nzb+1, nzt+1
	951	DO i = nxlg, nxrg
[978]	952	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	953	( u(k,-1,i) - u(k,0,i) ) * ddy
	954
[978]	955	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	956	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	957
[978]	958	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	959	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	960	ENDDO
[75]	961	ENDDO
	962
	963	!
[978]	964	!-- Bottom boundary at the outflow
	965	IF ( ibc_uv_b == 0 ) THEN
[1353]	966	u_p(nzb,-1,:) = 0.0_wp
	967	v_p(nzb,0,:) = 0.0_wp
[978]	968	ELSE
	969	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	970	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	971	ENDIF
[1353]	972	w_p(nzb,-1,:) = 0.0_wp
[73]	973
[75]	974	!
[978]	975	!-- Top boundary at the outflow
	976	IF ( ibc_uv_t == 0 ) THEN
	977	u_p(nzt+1,-1,:) = u_init(nzt+1)
	978	v_p(nzt+1,0,:) = v_init(nzt+1)
	979	ELSE
[1742]	980	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	981	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	982	ENDIF
[1353]	983	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	984
[75]	985	ENDIF
[73]	986
[75]	987	ENDIF
[73]	988
[3182]	989	IF ( bc_radiation_n ) THEN
[73]	990
[1159]	991	IF ( use_cmax ) THEN
	992	u_p(:,ny+1,:) = u(:,ny,:)
	993	v_p(:,ny+1,:) = v(:,ny,:)
	994	w_p(:,ny+1,:) = w(:,ny,:)
	995	ELSEIF ( .NOT. use_cmax ) THEN
[75]	996
[978]	997	c_max = dy / dt_3d
[75]	998
[1353]	999	c_u_m_l = 0.0_wp
	1000	c_v_m_l = 0.0_wp
	1001	c_w_m_l = 0.0_wp
[978]	1002
[1353]	1003	c_u_m = 0.0_wp
	1004	c_v_m = 0.0_wp
	1005	c_w_m = 0.0_wp
[978]	1006
[1]	1007	!
[996]	1008	!-- Calculate the phase speeds for u, v, and w, first local and then
	1009	!-- average along the outflow boundary.
	1010	DO k = nzb+1, nzt+1
	1011	DO i = nxl, nxr
[73]	1012
[106]	1013	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	1014
[1353]	1015	IF ( denom /= 0.0_wp ) THEN
[996]	1016	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1017	IF ( c_u(k,i) < 0.0_wp ) THEN
	1018	c_u(k,i) = 0.0_wp
[106]	1019	ELSEIF ( c_u(k,i) > c_max ) THEN
	1020	c_u(k,i) = c_max
	1021	ENDIF
	1022	ELSE
	1023	c_u(k,i) = c_max
[73]	1024	ENDIF
	1025
[106]	1026	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	1027
[1353]	1028	IF ( denom /= 0.0_wp ) THEN
[996]	1029	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1030	IF ( c_v(k,i) < 0.0_wp ) THEN
	1031	c_v(k,i) = 0.0_wp
[106]	1032	ELSEIF ( c_v(k,i) > c_max ) THEN
	1033	c_v(k,i) = c_max
	1034	ENDIF
	1035	ELSE
	1036	c_v(k,i) = c_max
[73]	1037	ENDIF
	1038
[106]	1039	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	1040
[1353]	1041	IF ( denom /= 0.0_wp ) THEN
[996]	1042	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1043	IF ( c_w(k,i) < 0.0_wp ) THEN
	1044	c_w(k,i) = 0.0_wp
[106]	1045	ELSEIF ( c_w(k,i) > c_max ) THEN
	1046	c_w(k,i) = c_max
	1047	ENDIF
	1048	ELSE
	1049	c_w(k,i) = c_max
[73]	1050	ENDIF
[106]	1051
[978]	1052	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	1053	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	1054	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	1055
[978]	1056	ENDDO
	1057	ENDDO
[73]	1058
[978]	1059	#if defined( __parallel )
	1060	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1061	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1062	MPI_SUM, comm1dx, ierr )
	1063	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1064	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1065	MPI_SUM, comm1dx, ierr )
	1066	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1067	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1068	MPI_SUM, comm1dx, ierr )
	1069	#else
	1070	c_u_m = c_u_m_l
	1071	c_v_m = c_v_m_l
	1072	c_w_m = c_w_m_l
	1073	#endif
	1074
	1075	c_u_m = c_u_m / (nx+1)
	1076	c_v_m = c_v_m / (nx+1)
	1077	c_w_m = c_w_m / (nx+1)
	1078
[73]	1079	!
[978]	1080	!-- Save old timelevels for the next timestep
	1081	IF ( intermediate_timestep_count == 1 ) THEN
	1082	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	1083	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	1084	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	1085	ENDIF
[73]	1086
[978]	1087	!
	1088	!-- Calculate the new velocities
[996]	1089	DO k = nzb+1, nzt+1
	1090	DO i = nxlg, nxrg
[978]	1091	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	1092	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	1093
[978]	1094	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	1095	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	1096
[978]	1097	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	1098	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	1099	ENDDO
[1]	1100	ENDDO
	1101
	1102	!
[978]	1103	!-- Bottom boundary at the outflow
	1104	IF ( ibc_uv_b == 0 ) THEN
[1353]	1105	u_p(nzb,ny+1,:) = 0.0_wp
	1106	v_p(nzb,ny+1,:) = 0.0_wp
[978]	1107	ELSE
	1108	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	1109	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	1110	ENDIF
[1353]	1111	w_p(nzb,ny+1,:) = 0.0_wp
[73]	1112
	1113	!
[978]	1114	!-- Top boundary at the outflow
	1115	IF ( ibc_uv_t == 0 ) THEN
	1116	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	1117	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	1118	ELSE
	1119	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	1120	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	1121	ENDIF
[1353]	1122	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	1123
[1]	1124	ENDIF
	1125
[75]	1126	ENDIF
	1127
[3182]	1128	IF ( bc_radiation_l ) THEN
[75]	1129
[1159]	1130	IF ( use_cmax ) THEN
[1717]	1131	u_p(:,:,0) = u(:,:,1)
	1132	v_p(:,:,-1) = v(:,:,0)
[1159]	1133	w_p(:,:,-1) = w(:,:,0)
	1134	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1135
[978]	1136	c_max = dx / dt_3d
[75]	1137
[1353]	1138	c_u_m_l = 0.0_wp
	1139	c_v_m_l = 0.0_wp
	1140	c_w_m_l = 0.0_wp
[978]	1141
[1353]	1142	c_u_m = 0.0_wp
	1143	c_v_m = 0.0_wp
	1144	c_w_m = 0.0_wp
[978]	1145
[1]	1146	!
[996]	1147	!-- Calculate the phase speeds for u, v, and w, first local and then
	1148	!-- average along the outflow boundary.
	1149	DO k = nzb+1, nzt+1
	1150	DO j = nys, nyn
[75]	1151
[106]	1152	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	1153
[1353]	1154	IF ( denom /= 0.0_wp ) THEN
[996]	1155	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	1156	IF ( c_u(k,j) < 0.0_wp ) THEN
	1157	c_u(k,j) = 0.0_wp
[107]	1158	ELSEIF ( c_u(k,j) > c_max ) THEN
	1159	c_u(k,j) = c_max
[106]	1160	ENDIF
	1161	ELSE
[107]	1162	c_u(k,j) = c_max
[75]	1163	ENDIF
	1164
[106]	1165	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	1166
[1353]	1167	IF ( denom /= 0.0_wp ) THEN
[996]	1168	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1169	IF ( c_v(k,j) < 0.0_wp ) THEN
	1170	c_v(k,j) = 0.0_wp
[106]	1171	ELSEIF ( c_v(k,j) > c_max ) THEN
	1172	c_v(k,j) = c_max
	1173	ENDIF
	1174	ELSE
	1175	c_v(k,j) = c_max
[75]	1176	ENDIF
	1177
[106]	1178	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	1179
[1353]	1180	IF ( denom /= 0.0_wp ) THEN
[996]	1181	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1182	IF ( c_w(k,j) < 0.0_wp ) THEN
	1183	c_w(k,j) = 0.0_wp
[106]	1184	ELSEIF ( c_w(k,j) > c_max ) THEN
	1185	c_w(k,j) = c_max
	1186	ENDIF
	1187	ELSE
	1188	c_w(k,j) = c_max
[75]	1189	ENDIF
[106]	1190
[978]	1191	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1192	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1193	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1194
[978]	1195	ENDDO
	1196	ENDDO
[75]	1197
[978]	1198	#if defined( __parallel )
	1199	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1200	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1201	MPI_SUM, comm1dy, ierr )
	1202	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1203	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1204	MPI_SUM, comm1dy, ierr )
	1205	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1206	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1207	MPI_SUM, comm1dy, ierr )
	1208	#else
	1209	c_u_m = c_u_m_l
	1210	c_v_m = c_v_m_l
	1211	c_w_m = c_w_m_l
	1212	#endif
	1213
	1214	c_u_m = c_u_m / (ny+1)
	1215	c_v_m = c_v_m / (ny+1)
	1216	c_w_m = c_w_m / (ny+1)
	1217
[73]	1218	!
[978]	1219	!-- Save old timelevels for the next timestep
	1220	IF ( intermediate_timestep_count == 1 ) THEN
	1221	u_m_l(:,:,:) = u(:,:,1:2)
	1222	v_m_l(:,:,:) = v(:,:,0:1)
	1223	w_m_l(:,:,:) = w(:,:,0:1)
	1224	ENDIF
	1225
	1226	!
	1227	!-- Calculate the new velocities
[996]	1228	DO k = nzb+1, nzt+1
[1113]	1229	DO j = nysg, nyng
[978]	1230	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	1231	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	1232
[978]	1233	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	1234	( v(k,j,-1) - v(k,j,0) ) * ddx
	1235
[978]	1236	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	1237	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	1238	ENDDO
[75]	1239	ENDDO
	1240
	1241	!
[978]	1242	!-- Bottom boundary at the outflow
	1243	IF ( ibc_uv_b == 0 ) THEN
[1353]	1244	u_p(nzb,:,0) = 0.0_wp
	1245	v_p(nzb,:,-1) = 0.0_wp
[978]	1246	ELSE
	1247	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1248	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1249	ENDIF
[1353]	1250	w_p(nzb,:,-1) = 0.0_wp
[1]	1251
[75]	1252	!
[978]	1253	!-- Top boundary at the outflow
	1254	IF ( ibc_uv_t == 0 ) THEN
[1764]	1255	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1256	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1257	ELSE
[1764]	1258	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1259	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1260	ENDIF
[1353]	1261	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1262
[75]	1263	ENDIF
[73]	1264
[75]	1265	ENDIF
[73]	1266
[3182]	1267	IF ( bc_radiation_r ) THEN
[73]	1268
[1159]	1269	IF ( use_cmax ) THEN
	1270	u_p(:,:,nx+1) = u(:,:,nx)
	1271	v_p(:,:,nx+1) = v(:,:,nx)
	1272	w_p(:,:,nx+1) = w(:,:,nx)
	1273	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1274
[978]	1275	c_max = dx / dt_3d
[75]	1276
[1353]	1277	c_u_m_l = 0.0_wp
	1278	c_v_m_l = 0.0_wp
	1279	c_w_m_l = 0.0_wp
[978]	1280
[1353]	1281	c_u_m = 0.0_wp
	1282	c_v_m = 0.0_wp
	1283	c_w_m = 0.0_wp
[978]	1284
[1]	1285	!
[996]	1286	!-- Calculate the phase speeds for u, v, and w, first local and then
	1287	!-- average along the outflow boundary.
	1288	DO k = nzb+1, nzt+1
	1289	DO j = nys, nyn
[73]	1290
[106]	1291	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1292
[1353]	1293	IF ( denom /= 0.0_wp ) THEN
[996]	1294	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1295	IF ( c_u(k,j) < 0.0_wp ) THEN
	1296	c_u(k,j) = 0.0_wp
[106]	1297	ELSEIF ( c_u(k,j) > c_max ) THEN
	1298	c_u(k,j) = c_max
	1299	ENDIF
	1300	ELSE
	1301	c_u(k,j) = c_max
[73]	1302	ENDIF
	1303
[106]	1304	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1305
[1353]	1306	IF ( denom /= 0.0_wp ) THEN
[996]	1307	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1308	IF ( c_v(k,j) < 0.0_wp ) THEN
	1309	c_v(k,j) = 0.0_wp
[106]	1310	ELSEIF ( c_v(k,j) > c_max ) THEN
	1311	c_v(k,j) = c_max
	1312	ENDIF
	1313	ELSE
	1314	c_v(k,j) = c_max
[73]	1315	ENDIF
	1316
[106]	1317	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1318
[1353]	1319	IF ( denom /= 0.0_wp ) THEN
[996]	1320	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1321	IF ( c_w(k,j) < 0.0_wp ) THEN
	1322	c_w(k,j) = 0.0_wp
[106]	1323	ELSEIF ( c_w(k,j) > c_max ) THEN
	1324	c_w(k,j) = c_max
	1325	ENDIF
	1326	ELSE
	1327	c_w(k,j) = c_max
[73]	1328	ENDIF
[106]	1329
[978]	1330	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1331	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1332	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1333
[978]	1334	ENDDO
	1335	ENDDO
[73]	1336
[978]	1337	#if defined( __parallel )
	1338	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1339	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1340	MPI_SUM, comm1dy, ierr )
	1341	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1342	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1343	MPI_SUM, comm1dy, ierr )
	1344	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1345	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1346	MPI_SUM, comm1dy, ierr )
	1347	#else
	1348	c_u_m = c_u_m_l
	1349	c_v_m = c_v_m_l
	1350	c_w_m = c_w_m_l
	1351	#endif
	1352
	1353	c_u_m = c_u_m / (ny+1)
	1354	c_v_m = c_v_m / (ny+1)
	1355	c_w_m = c_w_m / (ny+1)
	1356
[73]	1357	!
[978]	1358	!-- Save old timelevels for the next timestep
	1359	IF ( intermediate_timestep_count == 1 ) THEN
	1360	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1361	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1362	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1363	ENDIF
[73]	1364
[978]	1365	!
	1366	!-- Calculate the new velocities
[996]	1367	DO k = nzb+1, nzt+1
[1113]	1368	DO j = nysg, nyng
[978]	1369	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1370	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1371
[978]	1372	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1373	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1374
[978]	1375	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1376	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1377	ENDDO
[73]	1378	ENDDO
	1379
	1380	!
[978]	1381	!-- Bottom boundary at the outflow
	1382	IF ( ibc_uv_b == 0 ) THEN
[1353]	1383	u_p(nzb,:,nx+1) = 0.0_wp
	1384	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1385	ELSE
	1386	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1387	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1388	ENDIF
[1353]	1389	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1390
	1391	!
[978]	1392	!-- Top boundary at the outflow
	1393	IF ( ibc_uv_t == 0 ) THEN
	1394	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1395	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1396	ELSE
	1397	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1398	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1399	ENDIF
[1742]	1400	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1401
[1]	1402	ENDIF
	1403
	1404	ENDIF
[3467]	1405
	1406	IF ( salsa ) THEN
	1407	CALL salsa_boundary_conds
	1408	ENDIF
[1]	1409
	1410	END SUBROUTINE boundary_conds

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