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source: palm/trunk/SOURCE/boundary_conds.f90 @ 3764

Last change on this file since 3764 was 3717, checked in by suehring, 6 years ago
Bugfix, do not set boundary conditions for pt in neutral runs; enable checks + additional checks for virtual measurements
Property svn:keywords set to `Id`
File size: 48.1 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 3717 2019-02-05 17:21:16Z eckhard $
[3717]	27	! Bugfix, do not set boundary conditions for potential temperature in neutral
	28	! runs.
	29	!
	30	! 3655 2019-01-07 16:51:22Z knoop
[3634]	31	! OpenACC port for SPEC
	32	!
	33	! 3589 2018-11-30 15:09:51Z suehring
[3589]	34	! Move the control parameter "salsa" from salsa_mod to control_parameters
	35	! (M. Kurppa)
	36	!
	37	! 3582 2018-11-29 19:16:36Z suehring
[3562]	38	! variables documented
	39	!
	40	! 3467 2018-10-30 19:05:21Z suehring
[3467]	41	! Implementation of a new aerosol module salsa.
	42	!
	43	! 3347 2018-10-15 14:21:08Z suehring
[3347]	44	! Bugfix in setting boundary conditions in offline nesting
	45	!
	46	! 3341 2018-10-15 10:31:27Z suehring
[3294]	47	! changes concerning modularization of ocean option
	48	!
	49	! 3274 2018-09-24 15:42:55Z knoop
[3274]	50	! Modularization of all bulk cloud physics code components
	51	!
	52	! 3241 2018-09-12 15:02:00Z raasch
[3241]	53	! unused variables removed
	54	!
	55	! 3183 2018-07-27 14:25:55Z suehring
[3183]	56	! Rename some variables concerning LES-LES as well as offline nesting
	57	!
	58	! 3182 2018-07-27 13:36:03Z suehring
[3129]	59	! - Use wall function for e_p and diss_p in case of rans_tke_e
	60	! - move limitation of diss_p from tcm_prognostic
	61	!
	62	! 2938 2018-03-27 15:52:42Z suehring
[2938]	63	! Set boundary condition for TKE and TKE dissipation rate in case of nesting
	64	! and if parent model operates in RANS mode but child model in LES mode.
	65	! mode
	66	!
	67	! 2793 2018-02-07 10:54:33Z suehring
[2766]	68	! Removed preprocessor directive __chem
	69	!
	70	! 2718 2018-01-02 08:49:38Z maronga
[2716]	71	! Corrected "Former revisions" section
	72	!
	73	! 2696 2017-12-14 17:12:51Z kanani
	74	! Change in file header (GPL part)
[2696]	75	! Adjust boundary conditions for e and diss in case of TKE-e closure (TG)
	76	! Implementation of chemistry module (FK)
	77	!
	78	! 2569 2017-10-20 11:54:42Z kanani
[2569]	79	! Removed redundant code for ibc_s_b=1 and ibc_q_b=1
	80	!
	81	! 2365 2017-08-21 14:59:59Z kanani
[2365]	82	! Vertical grid nesting implemented: exclude setting vertical velocity to zero
	83	! on fine grid (SadiqHuq)
	84	!
	85	! 2320 2017-07-21 12:47:43Z suehring
[2320]	86	! Remove unused control parameter large_scale_forcing from only-list
	87	!
	88	! 2292 2017-06-20 09:51:42Z schwenkel
[2292]	89	! Implementation of new microphysic scheme: cloud_scheme = 'morrison'
	90	! includes two more prognostic equations for cloud drop concentration (nc)
	91	! and cloud water content (qc).
	92	!
	93	! 2233 2017-05-30 18:08:54Z suehring
[1321]	94	!
[2233]	95	! 2232 2017-05-30 17:47:52Z suehring
	96	! Set boundary conditions on topography top using flag method.
	97	!
[2119]	98	! 2118 2017-01-17 16:38:49Z raasch
	99	! OpenACC directives removed
	100	!
[2001]	101	! 2000 2016-08-20 18:09:15Z knoop
	102	! Forced header and separation lines into 80 columns
	103	!
[1993]	104	! 1992 2016-08-12 15:14:59Z suehring
	105	! Adjustments for top boundary condition for passive scalar
	106	!
[1961]	107	! 1960 2016-07-12 16:34:24Z suehring
	108	! Treat humidity and passive scalar separately
	109	!
[1933]	110	! 1823 2016-04-07 08:57:52Z hoffmann
	111	! Initial version of purely vertical nesting introduced.
	112	!
[1823]	113	! 1822 2016-04-07 07:49:42Z hoffmann
	114	! icloud_scheme removed. microphyisics_seifert added.
	115	!
[1765]	116	! 1764 2016-02-28 12:45:19Z raasch
	117	! index bug for u_p at left outflow removed
	118	!
[1763]	119	! 1762 2016-02-25 12:31:13Z hellstea
	120	! Introduction of nested domain feature
	121	!
[1744]	122	! 1742 2016-01-13 09:50:06Z raasch
	123	! bugfix for outflow Neumann boundary conditions at bottom and top
	124	!
[1718]	125	! 1717 2015-11-11 15:09:47Z raasch
	126	! Bugfix: index error in outflow conditions for left boundary
	127	!
[1683]	128	! 1682 2015-10-07 23:56:08Z knoop
	129	! Code annotations made doxygen readable
	130	!
[1717]	131	! 1410 2014-05-23 12:16:18Z suehring
[1463]	132	! Bugfix: set dirichlet boundary condition for passive_scalar at model domain
	133	! top
	134	!
[1410]	135	! 1399 2014-05-07 11:16:25Z heinze
	136	! Bugfix: set inflow boundary conditions also if no humidity or passive_scalar
	137	! is used.
	138	!
[1399]	139	! 1398 2014-05-07 11:15:00Z heinze
	140	! Dirichlet-condition at the top for u and v changed to u_init and v_init also
	141	! for large_scale_forcing
	142	!
[1381]	143	! 1380 2014-04-28 12:40:45Z heinze
	144	! Adjust Dirichlet-condition at the top for pt in case of nudging
	145	!
[1362]	146	! 1361 2014-04-16 15:17:48Z hoffmann
	147	! Bottom and top boundary conditions of rain water content (qr) and
	148	! rain drop concentration (nr) changed to Dirichlet
	149	!
[1354]	150	! 1353 2014-04-08 15:21:23Z heinze
	151	! REAL constants provided with KIND-attribute
	152	!
[1321]	153	! 1320 2014-03-20 08:40:49Z raasch
[1320]	154	! ONLY-attribute added to USE-statements,
	155	! kind-parameters added to all INTEGER and REAL declaration statements,
	156	! kinds are defined in new module kinds,
	157	! revision history before 2012 removed,
	158	! comment fields (!:) to be used for variable explanations added to
	159	! all variable declaration statements
[1160]	160	!
[1258]	161	! 1257 2013-11-08 15:18:40Z raasch
	162	! loop independent clauses added
	163	!
[1242]	164	! 1241 2013-10-30 11:36:58Z heinze
	165	! Adjust ug and vg at each timestep in case of large_scale_forcing
	166	!
[1160]	167	! 1159 2013-05-21 11:58:22Z fricke
[1159]	168	! Bugfix: Neumann boundary conditions for the velocity components at the
	169	! outflow are in fact radiation boundary conditions using the maximum phase
	170	! velocity that ensures numerical stability (CFL-condition).
	171	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	172	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	173	! u_p, v_p, w_p
[1116]	174	!
	175	! 1115 2013-03-26 18:16:16Z hoffmann
	176	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	177	! boundary-conditions
	178	!
[1114]	179	! 1113 2013-03-10 02:48:14Z raasch
	180	! GPU-porting
	181	! dummy argument "range" removed
	182	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	183	!
[1054]	184	! 1053 2012-11-13 17:11:03Z hoffmann
	185	! boundary conditions for the two new prognostic equations (nr, qr) of the
	186	! two-moment cloud scheme
	187	!
[1037]	188	! 1036 2012-10-22 13:43:42Z raasch
	189	! code put under GPL (PALM 3.9)
	190	!
[997]	191	! 996 2012-09-07 10:41:47Z raasch
	192	! little reformatting
	193	!
[979]	194	! 978 2012-08-09 08:28:32Z fricke
	195	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	196	! Outflow boundary conditions for the velocity components can be set to Neumann
	197	! conditions or to radiation conditions with a horizontal averaged phase
	198	! velocity.
	199	!
[876]	200	! 875 2012-04-02 15:35:15Z gryschka
	201	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	202	!
[1]	203	! Revision 1.1 1997/09/12 06:21:34 raasch
	204	! Initial revision
	205	!
	206	!
	207	! Description:
	208	! ------------
[1682]	209	!> Boundary conditions for the prognostic quantities.
	210	!> One additional bottom boundary condition is applied for the TKE (=(u)*2)
	211	!> in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	212	!> handled in routine exchange_horiz. Pressure boundary conditions are
	213	!> explicitly set in routines pres, poisfft, poismg and sor.
[1]	214	!------------------------------------------------------------------------------!
[1682]	215	SUBROUTINE boundary_conds
	216
[1]	217
[1320]	218	USE arrays_3d, &
	219	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]	220	diss, diss_p, dzu, e_p, nc_p, nr_p, pt, pt_init, pt_p, q, &
	221	q_p, qc_p, qr_p, s, s_p, sa, sa_p, u, u_init, u_m_l, u_m_n, &
	222	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, &
	223	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s
[2696]	224
[3274]	225	USE basic_constants_and_equations_mod, &
	226	ONLY: kappa
	227
[3294]	228	USE bulk_cloud_model_mod, &
	229	ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert
	230
[2696]	231	USE chemistry_model_mod, &
	232	ONLY: chem_boundary_conds
	233
[1320]	234	USE control_parameters, &
[3182]	235	ONLY: air_chemistry, bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, &
	236	bc_dirichlet_s, bc_radiation_l, bc_radiation_n, bc_radiation_r, &
	237	bc_radiation_s, bc_pt_t_val, bc_q_t_val, bc_s_t_val, &
[3582]	238	child_domain, constant_diffusion, coupling_mode, dt_3d, &
	239	humidity, ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_q_t, ibc_s_b, &
	240	ibc_s_t, ibc_uv_b, ibc_uv_t, intermediate_timestep_count, &
[3717]	241	nesting_offline, neutral, nudging, ocean_mode, passive_scalar, &
	242	rans_mode, rans_tke_e, tsc, salsa, use_cmax
[1320]	243
	244	USE grid_variables, &
	245	ONLY: ddx, ddy, dx, dy
	246
	247	USE indices, &
[3294]	248	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nzb, nzt
[1320]	249
	250	USE kinds
	251
[3294]	252	USE ocean_mod, &
	253	ONLY: ibc_sa_t
[3274]	254
[1]	255	USE pegrid
	256
[1933]	257	USE pmc_interface, &
[2938]	258	ONLY : nesting_mode, rans_mode_parent
[3467]	259
	260	USE salsa_mod, &
[3582]	261	ONLY: salsa_boundary_conds
[1320]	262
[2232]	263	USE surface_mod, &
[3129]	264	ONLY : bc_h, surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, &
	265	surf_usm_h, surf_usm_v
[1933]	266
[3129]	267	USE turbulence_closure_mod, &
	268	ONLY: c_0
	269
[1]	270	IMPLICIT NONE
	271
[2232]	272	INTEGER(iwp) :: i !< grid index x direction
	273	INTEGER(iwp) :: j !< grid index y direction
	274	INTEGER(iwp) :: k !< grid index z direction
	275	INTEGER(iwp) :: kb !< variable to set respective boundary value, depends on facing.
	276	INTEGER(iwp) :: l !< running index boundary type, for up- and downward-facing walls
	277	INTEGER(iwp) :: m !< running index surface elements
[1]	278
[3562]	279	REAL(wp) :: c_max !< maximum phase velocity allowed by CFL criterion, used for outflow boundary condition
	280	REAL(wp) :: denom !< horizontal gradient of velocity component normal to the outflow boundary
[1]	281
[73]	282
[1]	283	!
[1113]	284	!-- Bottom boundary
	285	IF ( ibc_uv_b == 1 ) THEN
	286	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	287	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	288	ENDIF
[2232]	289	!
	290	!-- Set zero vertical velocity at topography top (l=0), or bottom (l=1) in case
	291	!-- of downward-facing surfaces.
	292	DO l = 0, 1
	293	!
	294	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	295	!-- for downward-facing surfaces at topography bottom (k+1).
	296	kb = MERGE( -1, 1, l == 0 )
	297	!$OMP PARALLEL DO PRIVATE( i, j, k )
[3634]	298	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
	299	!$ACC PRESENT(bc_h, w_p)
[2232]	300	DO m = 1, bc_h(l)%ns
	301	i = bc_h(l)%i(m)
	302	j = bc_h(l)%j(m)
	303	k = bc_h(l)%k(m)
	304	w_p(k+kb,j,i) = 0.0_wp
[1113]	305	ENDDO
	306	ENDDO
	307
	308	!
[1762]	309	!-- Top boundary. A nested domain ( ibc_uv_t = 3 ) does not require settings.
[1113]	310	IF ( ibc_uv_t == 0 ) THEN
[3634]	311	!$ACC KERNELS PRESENT(u_p, v_p, u_init, v_init)
[1113]	312	u_p(nzt+1,:,:) = u_init(nzt+1)
	313	v_p(nzt+1,:,:) = v_init(nzt+1)
[3634]	314	!$ACC END KERNELS
[1762]	315	ELSEIF ( ibc_uv_t == 1 ) THEN
[1113]	316	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	317	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	318	ENDIF
	319
[2365]	320	!
	321	!-- Vertical nesting: Vertical velocity not zero at the top of the fine grid
[3347]	322	IF ( .NOT. child_domain .AND. .NOT. nesting_offline .AND. &
[2365]	323	TRIM(coupling_mode) /= 'vnested_fine' ) THEN
[3634]	324	!$ACC KERNELS PRESENT(w_p)
[2365]	325	w_p(nzt:nzt+1,:,:) = 0.0_wp !< nzt is not a prognostic level (but cf. pres)
[3634]	326	!$ACC END KERNELS
[1762]	327	ENDIF
	328
[1113]	329	!
[2232]	330	!-- Temperature at bottom and top boundary.
[1113]	331	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	332	!-- the sea surface temperature of the coupled ocean model.
[2232]	333	!-- Dirichlet
[3717]	334	IF ( .NOT. neutral ) THEN
	335	IF ( ibc_pt_b == 0 ) THEN
	336	DO l = 0, 1
	337	!
	338	!-- Set kb, for upward-facing surfaces value at topography top (k-1)
	339	!-- is set, for downward-facing surfaces at topography bottom (k+1).
	340	kb = MERGE( -1, 1, l == 0 )
	341	!$OMP PARALLEL DO PRIVATE( i, j, k )
	342	DO m = 1, bc_h(l)%ns
	343	i = bc_h(l)%i(m)
	344	j = bc_h(l)%j(m)
	345	k = bc_h(l)%k(m)
	346	pt_p(k+kb,j,i) = pt(k+kb,j,i)
	347	ENDDO
[1]	348	ENDDO
[3717]	349	!
	350	!-- Neumann, zero-gradient
	351	ELSEIF ( ibc_pt_b == 1 ) THEN
	352	DO l = 0, 1
	353	!
	354	!-- Set kb, for upward-facing surfaces value at topography top (k-1)
	355	!-- is set, for downward-facing surfaces at topography bottom (k+1).
	356	kb = MERGE( -1, 1, l == 0 )
	357	!$OMP PARALLEL DO PRIVATE( i, j, k )
	358	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
	359	!$ACC PRESENT(bc_h, pt_p)
	360	DO m = 1, bc_h(l)%ns
	361	i = bc_h(l)%i(m)
	362	j = bc_h(l)%j(m)
	363	k = bc_h(l)%k(m)
	364	pt_p(k+kb,j,i) = pt_p(k,j,i)
	365	ENDDO
[1113]	366	ENDDO
[3717]	367	ENDIF
	368
	369	!
	370	!-- Temperature at top boundary
	371	IF ( ibc_pt_t == 0 ) THEN
	372	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
	373	!
	374	!-- In case of nudging adjust top boundary to pt which is
	375	!-- read in from NUDGING-DATA
	376	IF ( nudging ) THEN
	377	pt_p(nzt+1,:,:) = pt_init(nzt+1)
	378	ENDIF
	379	ELSEIF ( ibc_pt_t == 1 ) THEN
	380	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	381	ELSEIF ( ibc_pt_t == 2 ) THEN
	382	!$ACC KERNELS PRESENT(pt_p, dzu)
	383	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
	384	!$ACC END KERNELS
	385	ENDIF
[1113]	386	ENDIF
[1]	387
	388	!
[2938]	389	!-- Boundary conditions for TKE.
	390	!-- Generally Neumann conditions with de/dz=0 are assumed.
[1113]	391	IF ( .NOT. constant_diffusion ) THEN
[2232]	392
[2696]	393	IF ( .NOT. rans_tke_e ) THEN
	394	DO l = 0, 1
[2232]	395	!
[2696]	396	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	397	!-- for downward-facing surfaces at topography bottom (k+1).
	398	kb = MERGE( -1, 1, l == 0 )
	399	!$OMP PARALLEL DO PRIVATE( i, j, k )
[3634]	400	!$ACC PARALLEL LOOP PRIVATE(i, j, k) &
	401	!$ACC PRESENT(bc_h, e_p)
[2696]	402	DO m = 1, bc_h(l)%ns
	403	i = bc_h(l)%i(m)
	404	j = bc_h(l)%j(m)
	405	k = bc_h(l)%k(m)
	406	e_p(k+kb,j,i) = e_p(k,j,i)
	407	ENDDO
[73]	408	ENDDO
[3129]	409	ELSE
	410	!
	411	!-- Use wall function within constant-flux layer
	412	!-- Upward-facing surfaces
	413	!-- Default surfaces
	414	DO m = 1, surf_def_h(0)%ns
	415	i = surf_def_h(0)%i(m)
	416	j = surf_def_h(0)%j(m)
	417	k = surf_def_h(0)%k(m)
	418	e_p(k,j,i) = ( surf_def_h(0)%us(m) / c_0 )**2
	419	ENDDO
	420	!
	421	!-- Natural surfaces
	422	DO m = 1, surf_lsm_h%ns
	423	i = surf_lsm_h%i(m)
	424	j = surf_lsm_h%j(m)
	425	k = surf_lsm_h%k(m)
	426	e_p(k,j,i) = ( surf_lsm_h%us(m) / c_0 )**2
	427	ENDDO
	428	!
	429	!-- Urban surfaces
	430	DO m = 1, surf_usm_h%ns
	431	i = surf_usm_h%i(m)
	432	j = surf_usm_h%j(m)
	433	k = surf_usm_h%k(m)
	434	e_p(k,j,i) = ( surf_usm_h%us(m) / c_0 )**2
	435	ENDDO
	436	!
	437	!-- Vertical surfaces
	438	DO l = 0, 3
	439	!
	440	!-- Default surfaces
	441	DO m = 1, surf_def_v(l)%ns
	442	i = surf_def_v(l)%i(m)
	443	j = surf_def_v(l)%j(m)
	444	k = surf_def_v(l)%k(m)
	445	e_p(k,j,i) = ( surf_def_v(l)%us(m) / c_0 )**2
	446	ENDDO
	447	!
	448	!-- Natural surfaces
	449	DO m = 1, surf_lsm_v(l)%ns
	450	i = surf_lsm_v(l)%i(m)
	451	j = surf_lsm_v(l)%j(m)
	452	k = surf_lsm_v(l)%k(m)
	453	e_p(k,j,i) = ( surf_lsm_v(l)%us(m) / c_0 )**2
	454	ENDDO
	455	!
	456	!-- Urban surfaces
	457	DO m = 1, surf_usm_v(l)%ns
	458	i = surf_usm_v(l)%i(m)
	459	j = surf_usm_v(l)%j(m)
	460	k = surf_usm_v(l)%k(m)
	461	e_p(k,j,i) = ( surf_usm_v(l)%us(m) / c_0 )**2
	462	ENDDO
	463	ENDDO
[2696]	464	ENDIF
[2232]	465
[3182]	466	IF ( .NOT. child_domain ) THEN
[3634]	467	!$ACC KERNELS PRESENT(e_p)
[1762]	468	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[3634]	469	!$ACC END KERNELS
[2938]	470	!
	471	!-- Nesting case: if parent operates in RANS mode and child in LES mode,
	472	!-- no TKE is transfered. This case, set Neumann conditions at lateral and
	473	!-- top child boundaries.
	474	!-- If not ( both either in RANS or in LES mode ), TKE boundary condition
	475	!-- is treated in the nesting.
	476	ELSE
	477
	478	IF ( rans_mode_parent .AND. .NOT. rans_mode ) THEN
	479
	480	e_p(nzt+1,:,:) = e_p(nzt,:,:)
[3182]	481	IF ( bc_dirichlet_l ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	482	IF ( bc_dirichlet_r ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	483	IF ( bc_dirichlet_s ) e_p(:,nys-1,:) = e_p(:,nys,:)
	484	IF ( bc_dirichlet_n ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[2938]	485
	486	ENDIF
[1762]	487	ENDIF
[1113]	488	ENDIF
	489
	490	!
[2938]	491	!-- Boundary conditions for TKE dissipation rate.
[3129]	492	IF ( rans_tke_e ) THEN
	493	!
	494	!-- Use wall function within constant-flux layer
	495	!-- Upward-facing surfaces
	496	!-- Default surfaces
	497	DO m = 1, surf_def_h(0)%ns
	498	i = surf_def_h(0)%i(m)
	499	j = surf_def_h(0)%j(m)
	500	k = surf_def_h(0)%k(m)
	501	diss_p(k,j,i) = surf_def_h(0)%us(m)**3 &
	502	/ ( kappa * surf_def_h(0)%z_mo(m) )
	503	ENDDO
	504	!
	505	!-- Natural surfaces
	506	DO m = 1, surf_lsm_h%ns
	507	i = surf_lsm_h%i(m)
	508	j = surf_lsm_h%j(m)
	509	k = surf_lsm_h%k(m)
	510	diss_p(k,j,i) = surf_lsm_h%us(m)**3 &
	511	/ ( kappa * surf_lsm_h%z_mo(m) )
	512	ENDDO
	513	!
	514	!-- Urban surfaces
	515	DO m = 1, surf_usm_h%ns
	516	i = surf_usm_h%i(m)
	517	j = surf_usm_h%j(m)
	518	k = surf_usm_h%k(m)
	519	diss_p(k,j,i) = surf_usm_h%us(m)**3 &
	520	/ ( kappa * surf_usm_h%z_mo(m) )
	521	ENDDO
	522	!
	523	!-- Vertical surfaces
	524	DO l = 0, 3
	525	!
	526	!-- Default surfaces
	527	DO m = 1, surf_def_v(l)%ns
	528	i = surf_def_v(l)%i(m)
	529	j = surf_def_v(l)%j(m)
	530	k = surf_def_v(l)%k(m)
	531	diss_p(k,j,i) = surf_def_v(l)%us(m)**3 &
	532	/ ( kappa * surf_def_v(l)%z_mo(m) )
	533	ENDDO
	534	!
	535	!-- Natural surfaces
	536	DO m = 1, surf_lsm_v(l)%ns
	537	i = surf_lsm_v(l)%i(m)
	538	j = surf_lsm_v(l)%j(m)
	539	k = surf_lsm_v(l)%k(m)
	540	diss_p(k,j,i) = surf_lsm_v(l)%us(m)**3 &
	541	/ ( kappa * surf_lsm_v(l)%z_mo(m) )
	542	ENDDO
	543	!
	544	!-- Urban surfaces
	545	DO m = 1, surf_usm_v(l)%ns
	546	i = surf_usm_v(l)%i(m)
	547	j = surf_usm_v(l)%j(m)
	548	k = surf_usm_v(l)%k(m)
	549	diss_p(k,j,i) = surf_usm_v(l)%us(m)**3 &
	550	/ ( kappa * surf_usm_v(l)%z_mo(m) )
	551	ENDDO
	552	ENDDO
	553	!
	554	!-- Limit change of diss to be between -90% and +100%. Also, set an absolute
	555	!-- minimum value
	556	DO i = nxl, nxr
	557	DO j = nys, nyn
	558	DO k = nzb, nzt+1
	559	diss_p(k,j,i) = MAX( MIN( diss_p(k,j,i), &
	560	2.0_wp * diss(k,j,i) ), &
	561	0.1_wp * diss(k,j,i), &
	562	0.0001_wp )
	563	ENDDO
	564	ENDDO
	565	ENDDO
	566
[3182]	567	IF ( .NOT. child_domain ) THEN
[3129]	568	diss_p(nzt+1,:,:) = diss_p(nzt,:,:)
	569	ENDIF
[2696]	570	ENDIF
	571
	572	!
[1113]	573	!-- Boundary conditions for salinity
[3294]	574	IF ( ocean_mode ) THEN
[1113]	575	!
	576	!-- Bottom boundary: Neumann condition because salinity flux is always
[2232]	577	!-- given.
	578	DO l = 0, 1
	579	!
	580	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	581	!-- for downward-facing surfaces at topography bottom (k+1).
	582	kb = MERGE( -1, 1, l == 0 )
	583	!$OMP PARALLEL DO PRIVATE( i, j, k )
	584	DO m = 1, bc_h(l)%ns
	585	i = bc_h(l)%i(m)
	586	j = bc_h(l)%j(m)
	587	k = bc_h(l)%k(m)
	588	sa_p(k+kb,j,i) = sa_p(k,j,i)
[1]	589	ENDDO
[1113]	590	ENDDO
[1]	591	!
[1113]	592	!-- Top boundary: Dirichlet or Neumann
	593	IF ( ibc_sa_t == 0 ) THEN
	594	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	595	ELSEIF ( ibc_sa_t == 1 ) THEN
	596	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	597	ENDIF
	598
[1113]	599	ENDIF
	600
[1]	601	!
[1960]	602	!-- Boundary conditions for total water content,
[1113]	603	!-- bottom and top boundary (see also temperature)
[1960]	604	IF ( humidity ) THEN
[1113]	605	!
	606	!-- Surface conditions for constant_humidity_flux
[2232]	607	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	608	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	609	!-- q_p at k-1
[1113]	610	IF ( ibc_q_b == 0 ) THEN
[2232]	611
	612	DO l = 0, 1
	613	!
	614	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	615	!-- for downward-facing surfaces at topography bottom (k+1).
	616	kb = MERGE( -1, 1, l == 0 )
	617	!$OMP PARALLEL DO PRIVATE( i, j, k )
	618	DO m = 1, bc_h(l)%ns
	619	i = bc_h(l)%i(m)
	620	j = bc_h(l)%j(m)
	621	k = bc_h(l)%k(m)
	622	q_p(k+kb,j,i) = q(k+kb,j,i)
[1]	623	ENDDO
	624	ENDDO
[2232]	625
[1113]	626	ELSE
[2232]	627
	628	DO l = 0, 1
	629	!
	630	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	631	!-- for downward-facing surfaces at topography bottom (k+1).
	632	kb = MERGE( -1, 1, l == 0 )
	633	!$OMP PARALLEL DO PRIVATE( i, j, k )
	634	DO m = 1, bc_h(l)%ns
	635	i = bc_h(l)%i(m)
	636	j = bc_h(l)%j(m)
	637	k = bc_h(l)%k(m)
	638	q_p(k+kb,j,i) = q_p(k,j,i)
[95]	639	ENDDO
	640	ENDDO
[1113]	641	ENDIF
[95]	642	!
[1113]	643	!-- Top boundary
[1462]	644	IF ( ibc_q_t == 0 ) THEN
	645	q_p(nzt+1,:,:) = q(nzt+1,:,:)
	646	ELSEIF ( ibc_q_t == 1 ) THEN
[1992]	647	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[1462]	648	ENDIF
[95]	649
[3274]	650	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	651	!
	652	!-- Surface conditions cloud water (Dirichlet)
	653	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	654	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	655	!-- qr_p and nr_p at k-1
	656	!$OMP PARALLEL DO PRIVATE( i, j, k )
	657	DO m = 1, bc_h(0)%ns
	658	i = bc_h(0)%i(m)
	659	j = bc_h(0)%j(m)
	660	k = bc_h(0)%k(m)
	661	qc_p(k-1,j,i) = 0.0_wp
	662	nc_p(k-1,j,i) = 0.0_wp
	663	ENDDO
	664	!
	665	!-- Top boundary condition for cloud water (Dirichlet)
	666	qc_p(nzt+1,:,:) = 0.0_wp
	667	nc_p(nzt+1,:,:) = 0.0_wp
	668
	669	ENDIF
	670
[3274]	671	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1113]	672	!
[1361]	673	!-- Surface conditions rain water (Dirichlet)
[2232]	674	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	675	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	676	!-- qr_p and nr_p at k-1
	677	!$OMP PARALLEL DO PRIVATE( i, j, k )
	678	DO m = 1, bc_h(0)%ns
	679	i = bc_h(0)%i(m)
	680	j = bc_h(0)%j(m)
	681	k = bc_h(0)%k(m)
	682	qr_p(k-1,j,i) = 0.0_wp
	683	nr_p(k-1,j,i) = 0.0_wp
[1115]	684	ENDDO
[1]	685	!
[1361]	686	!-- Top boundary condition for rain water (Dirichlet)
	687	qr_p(nzt+1,:,:) = 0.0_wp
	688	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	689
[1]	690	ENDIF
[1409]	691	ENDIF
[1]	692	!
[1960]	693	!-- Boundary conditions for scalar,
	694	!-- bottom and top boundary (see also temperature)
	695	IF ( passive_scalar ) THEN
	696	!
	697	!-- Surface conditions for constant_humidity_flux
[2232]	698	!-- Run loop over all non-natural and natural walls. Note, in wall-datatype
	699	!-- the k coordinate belongs to the atmospheric grid point, therefore, set
	700	!-- s_p at k-1
[1960]	701	IF ( ibc_s_b == 0 ) THEN
[2232]	702
	703	DO l = 0, 1
	704	!
	705	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	706	!-- for downward-facing surfaces at topography bottom (k+1).
	707	kb = MERGE( -1, 1, l == 0 )
	708	!$OMP PARALLEL DO PRIVATE( i, j, k )
	709	DO m = 1, bc_h(l)%ns
	710	i = bc_h(l)%i(m)
	711	j = bc_h(l)%j(m)
	712	k = bc_h(l)%k(m)
	713	s_p(k+kb,j,i) = s(k+kb,j,i)
[1960]	714	ENDDO
	715	ENDDO
[2232]	716
[1960]	717	ELSE
[2232]	718
	719	DO l = 0, 1
	720	!
	721	!-- Set kb, for upward-facing surfaces value at topography top (k-1) is set,
	722	!-- for downward-facing surfaces at topography bottom (k+1).
	723	kb = MERGE( -1, 1, l == 0 )
	724	!$OMP PARALLEL DO PRIVATE( i, j, k )
	725	DO m = 1, bc_h(l)%ns
	726	i = bc_h(l)%i(m)
	727	j = bc_h(l)%j(m)
	728	k = bc_h(l)%k(m)
	729	s_p(k+kb,j,i) = s_p(k,j,i)
[1960]	730	ENDDO
	731	ENDDO
	732	ENDIF
	733	!
[1992]	734	!-- Top boundary condition
	735	IF ( ibc_s_t == 0 ) THEN
[1960]	736	s_p(nzt+1,:,:) = s(nzt+1,:,:)
[1992]	737	ELSEIF ( ibc_s_t == 1 ) THEN
	738	s_p(nzt+1,:,:) = s_p(nzt,:,:)
	739	ELSEIF ( ibc_s_t == 2 ) THEN
	740	s_p(nzt+1,:,:) = s_p(nzt,:,:) + bc_s_t_val * dzu(nzt+1)
[1960]	741	ENDIF
	742
	743	ENDIF
	744	!
[2696]	745	!-- Top/bottom boundary conditions for chemical species
	746	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_bottomtop' )
	747	!
[1762]	748	!-- In case of inflow or nest boundary at the south boundary the boundary for v
	749	!-- is at nys and in case of inflow or nest boundary at the left boundary the
	750	!-- boundary for u is at nxl. Since in prognostic_equations (cache optimized
	751	!-- version) these levels are handled as a prognostic level, boundary values
	752	!-- have to be restored here.
[1409]	753	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[3182]	754	IF ( bc_dirichlet_s ) THEN
[1409]	755	v_p(:,nys,:) = v_p(:,nys-1,:)
	756	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[3182]	757	ELSEIF ( bc_dirichlet_n ) THEN
[1409]	758	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[3182]	759	ELSEIF ( bc_dirichlet_l ) THEN
[1409]	760	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	761	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[3182]	762	ELSEIF ( bc_dirichlet_r ) THEN
[1409]	763	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	764	ENDIF
[1]	765
	766	!
[1762]	767	!-- The same restoration for u at i=nxl and v at j=nys as above must be made
[1933]	768	!-- in case of nest boundaries. This must not be done in case of vertical nesting
[3182]	769	!-- mode as in that case the lateral boundaries are actually cyclic.
	770	IF ( nesting_mode /= 'vertical' .OR. nesting_offline ) THEN
	771	IF ( bc_dirichlet_s ) THEN
[1933]	772	v_p(:,nys,:) = v_p(:,nys-1,:)
	773	ENDIF
[3182]	774	IF ( bc_dirichlet_l ) THEN
[1933]	775	u_p(:,:,nxl) = u_p(:,:,nxl-1)
	776	ENDIF
[1762]	777	ENDIF
	778
	779	!
[1409]	780	!-- Lateral boundary conditions for scalar quantities at the outflow
[3182]	781	IF ( bc_radiation_s ) THEN
[1409]	782	pt_p(:,nys-1,:) = pt_p(:,nys,:)
[2232]	783	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[2696]	784	IF ( rans_tke_e ) diss_p(:,nys-1,:) = diss_p(:,nys,:)
[1960]	785	IF ( humidity ) THEN
[1409]	786	q_p(:,nys-1,:) = q_p(:,nys,:)
[3274]	787	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	788	qc_p(:,nys-1,:) = qc_p(:,nys,:)
	789	nc_p(:,nys-1,:) = nc_p(:,nys,:)
	790	ENDIF
[3274]	791	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	792	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	793	nr_p(:,nys-1,:) = nr_p(:,nys,:)
[1053]	794	ENDIF
[1409]	795	ENDIF
[1960]	796	IF ( passive_scalar ) s_p(:,nys-1,:) = s_p(:,nys,:)
[3182]	797	ELSEIF ( bc_radiation_n ) THEN
[1409]	798	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
[2696]	799	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
	800	IF ( rans_tke_e ) diss_p(:,nyn+1,:) = diss_p(:,nyn,:)
[1960]	801	IF ( humidity ) THEN
[1409]	802	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[3274]	803	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	804	qc_p(:,nyn+1,:) = qc_p(:,nyn,:)
	805	nc_p(:,nyn+1,:) = nc_p(:,nyn,:)
	806	ENDIF
[3274]	807	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	808	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	809	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
[1053]	810	ENDIF
[1409]	811	ENDIF
[1960]	812	IF ( passive_scalar ) s_p(:,nyn+1,:) = s_p(:,nyn,:)
[3182]	813	ELSEIF ( bc_radiation_l ) THEN
[1409]	814	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
[2696]	815	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	816	IF ( rans_tke_e ) diss_p(:,:,nxl-1) = diss_p(:,:,nxl)
[1960]	817	IF ( humidity ) THEN
[1409]	818	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[3274]	819	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	820	qc_p(:,:,nxl-1) = qc_p(:,:,nxl)
	821	nc_p(:,:,nxl-1) = nc_p(:,:,nxl)
	822	ENDIF
[3274]	823	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	824	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	825	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
[1053]	826	ENDIF
[1409]	827	ENDIF
[1960]	828	IF ( passive_scalar ) s_p(:,:,nxl-1) = s_p(:,:,nxl)
[3182]	829	ELSEIF ( bc_radiation_r ) THEN
[1409]	830	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
[2696]	831	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
	832	IF ( rans_tke_e ) diss_p(:,:,nxr+1) = diss_p(:,:,nxr)
[1960]	833	IF ( humidity ) THEN
[1409]	834	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[3274]	835	IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN
[2292]	836	qc_p(:,:,nxr+1) = qc_p(:,:,nxr)
	837	nc_p(:,:,nxr+1) = nc_p(:,:,nxr)
	838	ENDIF
[3274]	839	IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN
[1409]	840	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	841	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
[1053]	842	ENDIF
[1]	843	ENDIF
[1960]	844	IF ( passive_scalar ) s_p(:,:,nxr+1) = s_p(:,:,nxr)
[1]	845	ENDIF
	846
	847	!
[2696]	848	!-- Lateral boundary conditions for chemical species
	849	IF ( air_chemistry ) CALL chem_boundary_conds( 'set_bc_lateral' )
	850
	851	!
[1159]	852	!-- Radiation boundary conditions for the velocities at the respective outflow.
	853	!-- The phase velocity is either assumed to the maximum phase velocity that
	854	!-- ensures numerical stability (CFL-condition) or calculated after
	855	!-- Orlanski(1976) and averaged along the outflow boundary.
[3182]	856	IF ( bc_radiation_s ) THEN
[75]	857
[1159]	858	IF ( use_cmax ) THEN
	859	u_p(:,-1,:) = u(:,0,:)
	860	v_p(:,0,:) = v(:,1,:)
	861	w_p(:,-1,:) = w(:,0,:)
	862	ELSEIF ( .NOT. use_cmax ) THEN
[75]	863
[978]	864	c_max = dy / dt_3d
[75]	865
[1353]	866	c_u_m_l = 0.0_wp
	867	c_v_m_l = 0.0_wp
	868	c_w_m_l = 0.0_wp
[978]	869
[1353]	870	c_u_m = 0.0_wp
	871	c_v_m = 0.0_wp
	872	c_w_m = 0.0_wp
[978]	873
[75]	874	!
[996]	875	!-- Calculate the phase speeds for u, v, and w, first local and then
	876	!-- average along the outflow boundary.
	877	DO k = nzb+1, nzt+1
	878	DO i = nxl, nxr
[75]	879
[106]	880	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	881
[1353]	882	IF ( denom /= 0.0_wp ) THEN
[996]	883	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	884	IF ( c_u(k,i) < 0.0_wp ) THEN
	885	c_u(k,i) = 0.0_wp
[106]	886	ELSEIF ( c_u(k,i) > c_max ) THEN
	887	c_u(k,i) = c_max
	888	ENDIF
	889	ELSE
	890	c_u(k,i) = c_max
[75]	891	ENDIF
	892
[106]	893	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	894
[1353]	895	IF ( denom /= 0.0_wp ) THEN
[996]	896	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	897	IF ( c_v(k,i) < 0.0_wp ) THEN
	898	c_v(k,i) = 0.0_wp
[106]	899	ELSEIF ( c_v(k,i) > c_max ) THEN
	900	c_v(k,i) = c_max
	901	ENDIF
	902	ELSE
	903	c_v(k,i) = c_max
[75]	904	ENDIF
	905
[106]	906	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	907
[1353]	908	IF ( denom /= 0.0_wp ) THEN
[996]	909	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	910	IF ( c_w(k,i) < 0.0_wp ) THEN
	911	c_w(k,i) = 0.0_wp
[106]	912	ELSEIF ( c_w(k,i) > c_max ) THEN
	913	c_w(k,i) = c_max
	914	ENDIF
	915	ELSE
	916	c_w(k,i) = c_max
[75]	917	ENDIF
[106]	918
[978]	919	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	920	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	921	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	922
[978]	923	ENDDO
	924	ENDDO
[75]	925
[978]	926	#if defined( __parallel )
	927	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	928	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	929	MPI_SUM, comm1dx, ierr )
	930	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	931	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	932	MPI_SUM, comm1dx, ierr )
	933	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	934	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	935	MPI_SUM, comm1dx, ierr )
	936	#else
	937	c_u_m = c_u_m_l
	938	c_v_m = c_v_m_l
	939	c_w_m = c_w_m_l
	940	#endif
	941
	942	c_u_m = c_u_m / (nx+1)
	943	c_v_m = c_v_m / (nx+1)
	944	c_w_m = c_w_m / (nx+1)
	945
[75]	946	!
[978]	947	!-- Save old timelevels for the next timestep
	948	IF ( intermediate_timestep_count == 1 ) THEN
	949	u_m_s(:,:,:) = u(:,0:1,:)
	950	v_m_s(:,:,:) = v(:,1:2,:)
	951	w_m_s(:,:,:) = w(:,0:1,:)
	952	ENDIF
	953
	954	!
	955	!-- Calculate the new velocities
[996]	956	DO k = nzb+1, nzt+1
	957	DO i = nxlg, nxrg
[978]	958	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	959	( u(k,-1,i) - u(k,0,i) ) * ddy
	960
[978]	961	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	962	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	963
[978]	964	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	965	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	966	ENDDO
[75]	967	ENDDO
	968
	969	!
[978]	970	!-- Bottom boundary at the outflow
	971	IF ( ibc_uv_b == 0 ) THEN
[1353]	972	u_p(nzb,-1,:) = 0.0_wp
	973	v_p(nzb,0,:) = 0.0_wp
[978]	974	ELSE
	975	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	976	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	977	ENDIF
[1353]	978	w_p(nzb,-1,:) = 0.0_wp
[73]	979
[75]	980	!
[978]	981	!-- Top boundary at the outflow
	982	IF ( ibc_uv_t == 0 ) THEN
	983	u_p(nzt+1,-1,:) = u_init(nzt+1)
	984	v_p(nzt+1,0,:) = v_init(nzt+1)
	985	ELSE
[1742]	986	u_p(nzt+1,-1,:) = u_p(nzt,-1,:)
	987	v_p(nzt+1,0,:) = v_p(nzt,0,:)
[978]	988	ENDIF
[1353]	989	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	990
[75]	991	ENDIF
[73]	992
[75]	993	ENDIF
[73]	994
[3182]	995	IF ( bc_radiation_n ) THEN
[73]	996
[1159]	997	IF ( use_cmax ) THEN
	998	u_p(:,ny+1,:) = u(:,ny,:)
	999	v_p(:,ny+1,:) = v(:,ny,:)
	1000	w_p(:,ny+1,:) = w(:,ny,:)
	1001	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1002
[978]	1003	c_max = dy / dt_3d
[75]	1004
[1353]	1005	c_u_m_l = 0.0_wp
	1006	c_v_m_l = 0.0_wp
	1007	c_w_m_l = 0.0_wp
[978]	1008
[1353]	1009	c_u_m = 0.0_wp
	1010	c_v_m = 0.0_wp
	1011	c_w_m = 0.0_wp
[978]	1012
[1]	1013	!
[996]	1014	!-- Calculate the phase speeds for u, v, and w, first local and then
	1015	!-- average along the outflow boundary.
	1016	DO k = nzb+1, nzt+1
	1017	DO i = nxl, nxr
[73]	1018
[106]	1019	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	1020
[1353]	1021	IF ( denom /= 0.0_wp ) THEN
[996]	1022	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1023	IF ( c_u(k,i) < 0.0_wp ) THEN
	1024	c_u(k,i) = 0.0_wp
[106]	1025	ELSEIF ( c_u(k,i) > c_max ) THEN
	1026	c_u(k,i) = c_max
	1027	ENDIF
	1028	ELSE
	1029	c_u(k,i) = c_max
[73]	1030	ENDIF
	1031
[106]	1032	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	1033
[1353]	1034	IF ( denom /= 0.0_wp ) THEN
[996]	1035	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1036	IF ( c_v(k,i) < 0.0_wp ) THEN
	1037	c_v(k,i) = 0.0_wp
[106]	1038	ELSEIF ( c_v(k,i) > c_max ) THEN
	1039	c_v(k,i) = c_max
	1040	ENDIF
	1041	ELSE
	1042	c_v(k,i) = c_max
[73]	1043	ENDIF
	1044
[106]	1045	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	1046
[1353]	1047	IF ( denom /= 0.0_wp ) THEN
[996]	1048	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	1049	IF ( c_w(k,i) < 0.0_wp ) THEN
	1050	c_w(k,i) = 0.0_wp
[106]	1051	ELSEIF ( c_w(k,i) > c_max ) THEN
	1052	c_w(k,i) = c_max
	1053	ENDIF
	1054	ELSE
	1055	c_w(k,i) = c_max
[73]	1056	ENDIF
[106]	1057
[978]	1058	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	1059	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	1060	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	1061
[978]	1062	ENDDO
	1063	ENDDO
[73]	1064
[978]	1065	#if defined( __parallel )
	1066	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1067	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1068	MPI_SUM, comm1dx, ierr )
	1069	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1070	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1071	MPI_SUM, comm1dx, ierr )
	1072	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	1073	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1074	MPI_SUM, comm1dx, ierr )
	1075	#else
	1076	c_u_m = c_u_m_l
	1077	c_v_m = c_v_m_l
	1078	c_w_m = c_w_m_l
	1079	#endif
	1080
	1081	c_u_m = c_u_m / (nx+1)
	1082	c_v_m = c_v_m / (nx+1)
	1083	c_w_m = c_w_m / (nx+1)
	1084
[73]	1085	!
[978]	1086	!-- Save old timelevels for the next timestep
	1087	IF ( intermediate_timestep_count == 1 ) THEN
	1088	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	1089	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	1090	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	1091	ENDIF
[73]	1092
[978]	1093	!
	1094	!-- Calculate the new velocities
[996]	1095	DO k = nzb+1, nzt+1
	1096	DO i = nxlg, nxrg
[978]	1097	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	1098	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	1099
[978]	1100	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	1101	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	1102
[978]	1103	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	1104	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	1105	ENDDO
[1]	1106	ENDDO
	1107
	1108	!
[978]	1109	!-- Bottom boundary at the outflow
	1110	IF ( ibc_uv_b == 0 ) THEN
[1353]	1111	u_p(nzb,ny+1,:) = 0.0_wp
	1112	v_p(nzb,ny+1,:) = 0.0_wp
[978]	1113	ELSE
	1114	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	1115	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	1116	ENDIF
[1353]	1117	w_p(nzb,ny+1,:) = 0.0_wp
[73]	1118
	1119	!
[978]	1120	!-- Top boundary at the outflow
	1121	IF ( ibc_uv_t == 0 ) THEN
	1122	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	1123	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	1124	ELSE
	1125	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	1126	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	1127	ENDIF
[1353]	1128	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	1129
[1]	1130	ENDIF
	1131
[75]	1132	ENDIF
	1133
[3182]	1134	IF ( bc_radiation_l ) THEN
[75]	1135
[1159]	1136	IF ( use_cmax ) THEN
[1717]	1137	u_p(:,:,0) = u(:,:,1)
	1138	v_p(:,:,-1) = v(:,:,0)
[1159]	1139	w_p(:,:,-1) = w(:,:,0)
	1140	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1141
[978]	1142	c_max = dx / dt_3d
[75]	1143
[1353]	1144	c_u_m_l = 0.0_wp
	1145	c_v_m_l = 0.0_wp
	1146	c_w_m_l = 0.0_wp
[978]	1147
[1353]	1148	c_u_m = 0.0_wp
	1149	c_v_m = 0.0_wp
	1150	c_w_m = 0.0_wp
[978]	1151
[1]	1152	!
[996]	1153	!-- Calculate the phase speeds for u, v, and w, first local and then
	1154	!-- average along the outflow boundary.
	1155	DO k = nzb+1, nzt+1
	1156	DO j = nys, nyn
[75]	1157
[106]	1158	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	1159
[1353]	1160	IF ( denom /= 0.0_wp ) THEN
[996]	1161	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	1162	IF ( c_u(k,j) < 0.0_wp ) THEN
	1163	c_u(k,j) = 0.0_wp
[107]	1164	ELSEIF ( c_u(k,j) > c_max ) THEN
	1165	c_u(k,j) = c_max
[106]	1166	ENDIF
	1167	ELSE
[107]	1168	c_u(k,j) = c_max
[75]	1169	ENDIF
	1170
[106]	1171	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	1172
[1353]	1173	IF ( denom /= 0.0_wp ) THEN
[996]	1174	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1175	IF ( c_v(k,j) < 0.0_wp ) THEN
	1176	c_v(k,j) = 0.0_wp
[106]	1177	ELSEIF ( c_v(k,j) > c_max ) THEN
	1178	c_v(k,j) = c_max
	1179	ENDIF
	1180	ELSE
	1181	c_v(k,j) = c_max
[75]	1182	ENDIF
	1183
[106]	1184	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	1185
[1353]	1186	IF ( denom /= 0.0_wp ) THEN
[996]	1187	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	1188	IF ( c_w(k,j) < 0.0_wp ) THEN
	1189	c_w(k,j) = 0.0_wp
[106]	1190	ELSEIF ( c_w(k,j) > c_max ) THEN
	1191	c_w(k,j) = c_max
	1192	ENDIF
	1193	ELSE
	1194	c_w(k,j) = c_max
[75]	1195	ENDIF
[106]	1196
[978]	1197	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1198	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1199	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1200
[978]	1201	ENDDO
	1202	ENDDO
[75]	1203
[978]	1204	#if defined( __parallel )
	1205	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1206	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1207	MPI_SUM, comm1dy, ierr )
	1208	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1209	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1210	MPI_SUM, comm1dy, ierr )
	1211	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1212	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1213	MPI_SUM, comm1dy, ierr )
	1214	#else
	1215	c_u_m = c_u_m_l
	1216	c_v_m = c_v_m_l
	1217	c_w_m = c_w_m_l
	1218	#endif
	1219
	1220	c_u_m = c_u_m / (ny+1)
	1221	c_v_m = c_v_m / (ny+1)
	1222	c_w_m = c_w_m / (ny+1)
	1223
[73]	1224	!
[978]	1225	!-- Save old timelevels for the next timestep
	1226	IF ( intermediate_timestep_count == 1 ) THEN
	1227	u_m_l(:,:,:) = u(:,:,1:2)
	1228	v_m_l(:,:,:) = v(:,:,0:1)
	1229	w_m_l(:,:,:) = w(:,:,0:1)
	1230	ENDIF
	1231
	1232	!
	1233	!-- Calculate the new velocities
[996]	1234	DO k = nzb+1, nzt+1
[1113]	1235	DO j = nysg, nyng
[978]	1236	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	1237	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	1238
[978]	1239	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	1240	( v(k,j,-1) - v(k,j,0) ) * ddx
	1241
[978]	1242	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	1243	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	1244	ENDDO
[75]	1245	ENDDO
	1246
	1247	!
[978]	1248	!-- Bottom boundary at the outflow
	1249	IF ( ibc_uv_b == 0 ) THEN
[1353]	1250	u_p(nzb,:,0) = 0.0_wp
	1251	v_p(nzb,:,-1) = 0.0_wp
[978]	1252	ELSE
	1253	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	1254	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	1255	ENDIF
[1353]	1256	w_p(nzb,:,-1) = 0.0_wp
[1]	1257
[75]	1258	!
[978]	1259	!-- Top boundary at the outflow
	1260	IF ( ibc_uv_t == 0 ) THEN
[1764]	1261	u_p(nzt+1,:,0) = u_init(nzt+1)
[978]	1262	v_p(nzt+1,:,-1) = v_init(nzt+1)
	1263	ELSE
[1764]	1264	u_p(nzt+1,:,0) = u_p(nzt,:,0)
[978]	1265	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	1266	ENDIF
[1353]	1267	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	1268
[75]	1269	ENDIF
[73]	1270
[75]	1271	ENDIF
[73]	1272
[3182]	1273	IF ( bc_radiation_r ) THEN
[73]	1274
[1159]	1275	IF ( use_cmax ) THEN
	1276	u_p(:,:,nx+1) = u(:,:,nx)
	1277	v_p(:,:,nx+1) = v(:,:,nx)
	1278	w_p(:,:,nx+1) = w(:,:,nx)
	1279	ELSEIF ( .NOT. use_cmax ) THEN
[75]	1280
[978]	1281	c_max = dx / dt_3d
[75]	1282
[1353]	1283	c_u_m_l = 0.0_wp
	1284	c_v_m_l = 0.0_wp
	1285	c_w_m_l = 0.0_wp
[978]	1286
[1353]	1287	c_u_m = 0.0_wp
	1288	c_v_m = 0.0_wp
	1289	c_w_m = 0.0_wp
[978]	1290
[1]	1291	!
[996]	1292	!-- Calculate the phase speeds for u, v, and w, first local and then
	1293	!-- average along the outflow boundary.
	1294	DO k = nzb+1, nzt+1
	1295	DO j = nys, nyn
[73]	1296
[106]	1297	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	1298
[1353]	1299	IF ( denom /= 0.0_wp ) THEN
[996]	1300	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1301	IF ( c_u(k,j) < 0.0_wp ) THEN
	1302	c_u(k,j) = 0.0_wp
[106]	1303	ELSEIF ( c_u(k,j) > c_max ) THEN
	1304	c_u(k,j) = c_max
	1305	ENDIF
	1306	ELSE
	1307	c_u(k,j) = c_max
[73]	1308	ENDIF
	1309
[106]	1310	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	1311
[1353]	1312	IF ( denom /= 0.0_wp ) THEN
[996]	1313	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1314	IF ( c_v(k,j) < 0.0_wp ) THEN
	1315	c_v(k,j) = 0.0_wp
[106]	1316	ELSEIF ( c_v(k,j) > c_max ) THEN
	1317	c_v(k,j) = c_max
	1318	ENDIF
	1319	ELSE
	1320	c_v(k,j) = c_max
[73]	1321	ENDIF
	1322
[106]	1323	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	1324
[1353]	1325	IF ( denom /= 0.0_wp ) THEN
[996]	1326	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	1327	IF ( c_w(k,j) < 0.0_wp ) THEN
	1328	c_w(k,j) = 0.0_wp
[106]	1329	ELSEIF ( c_w(k,j) > c_max ) THEN
	1330	c_w(k,j) = c_max
	1331	ENDIF
	1332	ELSE
	1333	c_w(k,j) = c_max
[73]	1334	ENDIF
[106]	1335
[978]	1336	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	1337	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	1338	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	1339
[978]	1340	ENDDO
	1341	ENDDO
[73]	1342
[978]	1343	#if defined( __parallel )
	1344	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1345	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	1346	MPI_SUM, comm1dy, ierr )
	1347	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1348	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	1349	MPI_SUM, comm1dy, ierr )
	1350	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	1351	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	1352	MPI_SUM, comm1dy, ierr )
	1353	#else
	1354	c_u_m = c_u_m_l
	1355	c_v_m = c_v_m_l
	1356	c_w_m = c_w_m_l
	1357	#endif
	1358
	1359	c_u_m = c_u_m / (ny+1)
	1360	c_v_m = c_v_m / (ny+1)
	1361	c_w_m = c_w_m / (ny+1)
	1362
[73]	1363	!
[978]	1364	!-- Save old timelevels for the next timestep
	1365	IF ( intermediate_timestep_count == 1 ) THEN
	1366	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	1367	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	1368	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	1369	ENDIF
[73]	1370
[978]	1371	!
	1372	!-- Calculate the new velocities
[996]	1373	DO k = nzb+1, nzt+1
[1113]	1374	DO j = nysg, nyng
[978]	1375	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	1376	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	1377
[978]	1378	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	1379	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	1380
[978]	1381	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	1382	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	1383	ENDDO
[73]	1384	ENDDO
	1385
	1386	!
[978]	1387	!-- Bottom boundary at the outflow
	1388	IF ( ibc_uv_b == 0 ) THEN
[1353]	1389	u_p(nzb,:,nx+1) = 0.0_wp
	1390	v_p(nzb,:,nx+1) = 0.0_wp
[978]	1391	ELSE
	1392	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	1393	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	1394	ENDIF
[1353]	1395	w_p(nzb,:,nx+1) = 0.0_wp
[73]	1396
	1397	!
[978]	1398	!-- Top boundary at the outflow
	1399	IF ( ibc_uv_t == 0 ) THEN
	1400	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	1401	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	1402	ELSE
	1403	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	1404	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	1405	ENDIF
[1742]	1406	w_p(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	1407
[1]	1408	ENDIF
	1409
	1410	ENDIF
[3467]	1411
	1412	IF ( salsa ) THEN
	1413	CALL salsa_boundary_conds
	1414	ENDIF
[1]	1415
	1416	END SUBROUTINE boundary_conds

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