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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1272

Last change on this file since 1272 was 1258, checked in by raasch, 11 years ago
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[1113]	1	SUBROUTINE boundary_conds
[1]	2
[1036]	3	!--------------------------------------------------------------------------------!
	4	! This file is part of PALM.
	5	!
	6	! PALM is free software: you can redistribute it and/or modify it under the terms
	7	! of the GNU General Public License as published by the Free Software Foundation,
	8	! either version 3 of the License, or (at your option) any later version.
	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	!
	17	! Copyright 1997-2012 Leibniz University Hannover
	18	!--------------------------------------------------------------------------------!
	19	!
[484]	20	! Current revisions:
[1]	21	! -----------------
[1258]	22	!
[1160]	23	!
	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 1258 2013-11-08 16:09:09Z witha $
	27	!
[1258]	28	! 1257 2013-11-08 15:18:40Z raasch
	29	! loop independent clauses added
	30	!
[1242]	31	! 1241 2013-10-30 11:36:58Z heinze
	32	! Adjust ug and vg at each timestep in case of large_scale_forcing
	33	!
[1160]	34	! 1159 2013-05-21 11:58:22Z fricke
[1159]	35	! Bugfix: Neumann boundary conditions for the velocity components at the
	36	! outflow are in fact radiation boundary conditions using the maximum phase
	37	! velocity that ensures numerical stability (CFL-condition).
	38	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	39	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	40	! u_p, v_p, w_p
[1116]	41	!
	42	! 1115 2013-03-26 18:16:16Z hoffmann
	43	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	44	! boundary-conditions
	45	!
[1114]	46	! 1113 2013-03-10 02:48:14Z raasch
	47	! GPU-porting
	48	! dummy argument "range" removed
	49	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	50	!
[1054]	51	! 1053 2012-11-13 17:11:03Z hoffmann
	52	! boundary conditions for the two new prognostic equations (nr, qr) of the
	53	! two-moment cloud scheme
	54	!
[1037]	55	! 1036 2012-10-22 13:43:42Z raasch
	56	! code put under GPL (PALM 3.9)
	57	!
[997]	58	! 996 2012-09-07 10:41:47Z raasch
	59	! little reformatting
	60	!
[979]	61	! 978 2012-08-09 08:28:32Z fricke
	62	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	63	! Outflow boundary conditions for the velocity components can be set to Neumann
	64	! conditions or to radiation conditions with a horizontal averaged phase
	65	! velocity.
	66	!
[876]	67	! 875 2012-04-02 15:35:15Z gryschka
	68	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	69	!
[768]	70	! 767 2011-10-14 06:39:12Z raasch
	71	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
	72	!
[668]	73	! 667 2010-12-23 12:06:00Z suehring/gryschka
	74	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
	75	! Removed mirror boundary conditions for u and v at the bottom in case of
	76	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
	77	! in init_3d_model
	78	!
[110]	79	! 107 2007-08-17 13:54:45Z raasch
	80	! Boundary conditions for temperature adjusted for coupled runs,
	81	! bugfixes for the radiation boundary conditions at the outflow: radiation
	82	! conditions are used for every substep, phase speeds are calculated for the
	83	! first Runge-Kutta substep only and then reused, several index values changed
	84	!
[98]	85	! 95 2007-06-02 16:48:38Z raasch
	86	! Boundary conditions for salinity added
	87	!
[77]	88	! 75 2007-03-22 09:54:05Z raasch
	89	! The "main" part sets conditions for time level t+dt instead of level t,
	90	! outflow boundary conditions changed from Neumann to radiation condition,
	91	! uxrp, vynp eliminated, moisture renamed humidity
	92	!
[39]	93	! 19 2007-02-23 04:53:48Z raasch
	94	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
	95	! gridpoints are now calculated by the prognostic equation,
	96	! Dirichlet and zero gradient condition for pt established at top boundary
	97	!
[3]	98	! RCS Log replace by Id keyword, revision history cleaned up
	99	!
[1]	100	! Revision 1.15 2006/02/23 09:54:55 raasch
	101	! Surface boundary conditions in case of topography: nzb replaced by
	102	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
	103	! unchanged (still using nzb) because a non-flat topography must use a
	104	! Prandtl-layer, which don't requires explicit setting of the surface values.
	105	!
	106	! Revision 1.1 1997/09/12 06:21:34 raasch
	107	! Initial revision
	108	!
	109	!
	110	! Description:
	111	! ------------
[1159]	112	! Boundary conditions for the prognostic quantities.
[1]	113	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
	114	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	115	! handled in routine exchange_horiz. Pressure boundary conditions are
	116	! explicitly set in routines pres, poisfft, poismg and sor.
	117	!------------------------------------------------------------------------------!
	118
	119	USE arrays_3d
	120	USE control_parameters
	121	USE grid_variables
	122	USE indices
	123	USE pegrid
	124
	125	IMPLICIT NONE
	126
	127	INTEGER :: i, j, k
	128
[106]	129	REAL :: c_max, denom
[1]	130
[73]	131
[1]	132	!
[1113]	133	!-- Bottom boundary
	134	IF ( ibc_uv_b == 1 ) THEN
	135	!$acc kernels present( u_p, v_p )
	136	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	137	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	138	!$acc end kernels
	139	ENDIF
	140
	141	!$acc kernels present( nzb_w_inner, w_p )
	142	DO i = nxlg, nxrg
	143	DO j = nysg, nyng
	144	w_p(nzb_w_inner(j,i),j,i) = 0.0
	145	ENDDO
	146	ENDDO
	147	!$acc end kernels
	148
	149	!
	150	!-- Top boundary
	151	IF ( ibc_uv_t == 0 ) THEN
	152	!$acc kernels present( u_init, u_p, v_init, v_p )
	153	u_p(nzt+1,:,:) = u_init(nzt+1)
	154	v_p(nzt+1,:,:) = v_init(nzt+1)
[1241]	155	IF ( large_scale_forcing) THEN
	156	u_p(nzt+1,:,:) = ug(nzt+1)
	157	v_p(nzt+1,:,:) = vg(nzt+1)
	158	END IF
[1113]	159	!$acc end kernels
	160	ELSE
	161	!$acc kernels present( u_p, v_p )
	162	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	163	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	164	!$acc end kernels
	165	ENDIF
	166	!$acc kernels present( w_p )
	167	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
	168	!$acc end kernels
	169
	170	!
	171	!-- Temperature at bottom boundary.
	172	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	173	!-- the sea surface temperature of the coupled ocean model.
	174	IF ( ibc_pt_b == 0 ) THEN
	175	!$acc kernels present( nzb_s_inner, pt, pt_p )
[1257]	176	!$acc loop independent
[667]	177	DO i = nxlg, nxrg
[1257]	178	!$acc loop independent
[667]	179	DO j = nysg, nyng
[1113]	180	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
[1]	181	ENDDO
	182	ENDDO
[1113]	183	!$acc end kernels
	184	ELSEIF ( ibc_pt_b == 1 ) THEN
	185	!$acc kernels present( nzb_s_inner, pt_p )
[1257]	186	!$acc loop independent
[1113]	187	DO i = nxlg, nxrg
[1257]	188	!$acc loop independent
[1113]	189	DO j = nysg, nyng
	190	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
	191	ENDDO
	192	ENDDO
	193	!$acc end kernels
	194	ENDIF
[1]	195
	196	!
[1113]	197	!-- Temperature at top boundary
	198	IF ( ibc_pt_t == 0 ) THEN
	199	!$acc kernels present( pt, pt_p )
	200	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
	201	!$acc end kernels
	202	ELSEIF ( ibc_pt_t == 1 ) THEN
	203	!$acc kernels present( pt_p )
	204	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	205	!$acc end kernels
	206	ELSEIF ( ibc_pt_t == 2 ) THEN
	207	!$acc kernels present( dzu, pt_p )
	208	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
	209	!$acc end kernels
	210	ENDIF
[1]	211
	212	!
[1113]	213	!-- Boundary conditions for TKE
	214	!-- Generally Neumann conditions with de/dz=0 are assumed
	215	IF ( .NOT. constant_diffusion ) THEN
	216	!$acc kernels present( e_p, nzb_s_inner )
[1257]	217	!$acc loop independent
[1113]	218	DO i = nxlg, nxrg
[1257]	219	!$acc loop independent
[1113]	220	DO j = nysg, nyng
	221	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
[73]	222	ENDDO
[1113]	223	ENDDO
	224	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	225	!$acc end kernels
	226	ENDIF
	227
	228	!
	229	!-- Boundary conditions for salinity
	230	IF ( ocean ) THEN
	231	!
	232	!-- Bottom boundary: Neumann condition because salinity flux is always
	233	!-- given
	234	DO i = nxlg, nxrg
	235	DO j = nysg, nyng
	236	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
[1]	237	ENDDO
[1113]	238	ENDDO
[1]	239
	240	!
[1113]	241	!-- Top boundary: Dirichlet or Neumann
	242	IF ( ibc_sa_t == 0 ) THEN
	243	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	244	ELSEIF ( ibc_sa_t == 1 ) THEN
	245	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	246	ENDIF
	247
[1113]	248	ENDIF
	249
[1]	250	!
[1113]	251	!-- Boundary conditions for total water content or scalar,
	252	!-- bottom and top boundary (see also temperature)
	253	IF ( humidity .OR. passive_scalar ) THEN
	254	!
	255	!-- Surface conditions for constant_humidity_flux
	256	IF ( ibc_q_b == 0 ) THEN
[667]	257	DO i = nxlg, nxrg
	258	DO j = nysg, nyng
[1113]	259	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
[1]	260	ENDDO
	261	ENDDO
[1113]	262	ELSE
[667]	263	DO i = nxlg, nxrg
	264	DO j = nysg, nyng
[1113]	265	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
[95]	266	ENDDO
	267	ENDDO
[1113]	268	ENDIF
[95]	269	!
[1113]	270	!-- Top boundary
	271	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[95]	272
[1115]	273	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	274	precipitation ) THEN
[1113]	275	!
[1115]	276	!-- Surface conditions rain water (Neumann)
	277	DO i = nxlg, nxrg
	278	DO j = nysg, nyng
	279	qr_p(nzb_s_inner(j,i),j,i) = qr_p(nzb_s_inner(j,i)+1,j,i)
	280	nr_p(nzb_s_inner(j,i),j,i) = nr_p(nzb_s_inner(j,i)+1,j,i)
[73]	281	ENDDO
[1115]	282	ENDDO
[1]	283	!
[1115]	284	!-- Top boundary condition for rain water (Neumann)
	285	qr_p(nzt+1,:,:) = qr_p(nzt,:,:)
	286	nr_p(nzt+1,:,:) = nr_p(nzt,:,:)
	287
[1]	288	ENDIF
	289	!
[875]	290	!-- In case of inflow at the south boundary the boundary for v is at nys
	291	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
	292	!-- Since in prognostic_equations (cache optimized version) these levels are
	293	!-- handled as a prognostic level, boundary values have to be restored here.
[978]	294	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[1]	295	IF ( inflow_s ) THEN
[73]	296	v_p(:,nys,:) = v_p(:,nys-1,:)
[978]	297	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	298	ELSEIF ( inflow_n ) THEN
	299	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1]	300	ELSEIF ( inflow_l ) THEN
[73]	301	u_p(:,:,nxl) = u_p(:,:,nxl-1)
[978]	302	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	303	ELSEIF ( inflow_r ) THEN
	304	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1]	305	ENDIF
	306
	307	!
	308	!-- Lateral boundary conditions for scalar quantities at the outflow
	309	IF ( outflow_s ) THEN
[73]	310	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	311	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[1115]	312	IF ( humidity .OR. passive_scalar ) THEN
[1053]	313	q_p(:,nys-1,:) = q_p(:,nys,:)
[1115]	314	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	315	precipitation) THEN
[1053]	316	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	317	nr_p(:,nys-1,:) = nr_p(:,nys,:)
	318	ENDIF
	319	ENDIF
[1]	320	ELSEIF ( outflow_n ) THEN
[73]	321	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	322	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1115]	323	IF ( humidity .OR. passive_scalar ) THEN
[1053]	324	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[1115]	325	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	326	precipitation ) THEN
[1053]	327	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	328	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
	329	ENDIF
	330	ENDIF
[1]	331	ELSEIF ( outflow_l ) THEN
[73]	332	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	333	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[1115]	334	IF ( humidity .OR. passive_scalar ) THEN
[1053]	335	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[1115]	336	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	337	precipitation ) THEN
[1053]	338	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	339	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
	340	ENDIF
	341	ENDIF
[1]	342	ELSEIF ( outflow_r ) THEN
[73]	343	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	344	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1053]	345	IF ( humidity .OR. passive_scalar ) THEN
	346	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[1115]	347	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
[1053]	348	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	349	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
	350	ENDIF
	351	ENDIF
[1]	352	ENDIF
	353
	354	ENDIF
	355
	356	!
[1159]	357	!-- Radiation boundary conditions for the velocities at the respective outflow.
	358	!-- The phase velocity is either assumed to the maximum phase velocity that
	359	!-- ensures numerical stability (CFL-condition) or calculated after
	360	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	361	IF ( outflow_s ) THEN
[75]	362
[1159]	363	IF ( use_cmax ) THEN
	364	u_p(:,-1,:) = u(:,0,:)
	365	v_p(:,0,:) = v(:,1,:)
	366	w_p(:,-1,:) = w(:,0,:)
	367	ELSEIF ( .NOT. use_cmax ) THEN
[75]	368
[978]	369	c_max = dy / dt_3d
[75]	370
[978]	371	c_u_m_l = 0.0
	372	c_v_m_l = 0.0
	373	c_w_m_l = 0.0
	374
	375	c_u_m = 0.0
	376	c_v_m = 0.0
	377	c_w_m = 0.0
	378
[75]	379	!
[996]	380	!-- Calculate the phase speeds for u, v, and w, first local and then
	381	!-- average along the outflow boundary.
	382	DO k = nzb+1, nzt+1
	383	DO i = nxl, nxr
[75]	384
[106]	385	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	386
	387	IF ( denom /= 0.0 ) THEN
[996]	388	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[106]	389	IF ( c_u(k,i) < 0.0 ) THEN
	390	c_u(k,i) = 0.0
	391	ELSEIF ( c_u(k,i) > c_max ) THEN
	392	c_u(k,i) = c_max
	393	ENDIF
	394	ELSE
	395	c_u(k,i) = c_max
[75]	396	ENDIF
	397
[106]	398	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	399
	400	IF ( denom /= 0.0 ) THEN
[996]	401	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[106]	402	IF ( c_v(k,i) < 0.0 ) THEN
	403	c_v(k,i) = 0.0
	404	ELSEIF ( c_v(k,i) > c_max ) THEN
	405	c_v(k,i) = c_max
	406	ENDIF
	407	ELSE
	408	c_v(k,i) = c_max
[75]	409	ENDIF
	410
[106]	411	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	412
[106]	413	IF ( denom /= 0.0 ) THEN
[996]	414	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[106]	415	IF ( c_w(k,i) < 0.0 ) THEN
	416	c_w(k,i) = 0.0
	417	ELSEIF ( c_w(k,i) > c_max ) THEN
	418	c_w(k,i) = c_max
	419	ENDIF
	420	ELSE
	421	c_w(k,i) = c_max
[75]	422	ENDIF
[106]	423
[978]	424	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	425	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	426	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	427
[978]	428	ENDDO
	429	ENDDO
[75]	430
[978]	431	#if defined( __parallel )
	432	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	433	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	434	MPI_SUM, comm1dx, ierr )
	435	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	436	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	437	MPI_SUM, comm1dx, ierr )
	438	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	439	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	440	MPI_SUM, comm1dx, ierr )
	441	#else
	442	c_u_m = c_u_m_l
	443	c_v_m = c_v_m_l
	444	c_w_m = c_w_m_l
	445	#endif
	446
	447	c_u_m = c_u_m / (nx+1)
	448	c_v_m = c_v_m / (nx+1)
	449	c_w_m = c_w_m / (nx+1)
	450
[75]	451	!
[978]	452	!-- Save old timelevels for the next timestep
	453	IF ( intermediate_timestep_count == 1 ) THEN
	454	u_m_s(:,:,:) = u(:,0:1,:)
	455	v_m_s(:,:,:) = v(:,1:2,:)
	456	w_m_s(:,:,:) = w(:,0:1,:)
	457	ENDIF
	458
	459	!
	460	!-- Calculate the new velocities
[996]	461	DO k = nzb+1, nzt+1
	462	DO i = nxlg, nxrg
[978]	463	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	464	( u(k,-1,i) - u(k,0,i) ) * ddy
	465
[978]	466	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	467	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	468
[978]	469	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	470	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	471	ENDDO
[75]	472	ENDDO
	473
	474	!
[978]	475	!-- Bottom boundary at the outflow
	476	IF ( ibc_uv_b == 0 ) THEN
	477	u_p(nzb,-1,:) = 0.0
	478	v_p(nzb,0,:) = 0.0
	479	ELSE
	480	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	481	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	482	ENDIF
	483	w_p(nzb,-1,:) = 0.0
[73]	484
[75]	485	!
[978]	486	!-- Top boundary at the outflow
	487	IF ( ibc_uv_t == 0 ) THEN
	488	u_p(nzt+1,-1,:) = u_init(nzt+1)
	489	v_p(nzt+1,0,:) = v_init(nzt+1)
	490	ELSE
	491	u_p(nzt+1,-1,:) = u(nzt,-1,:)
	492	v_p(nzt+1,0,:) = v(nzt,0,:)
	493	ENDIF
	494	w_p(nzt:nzt+1,-1,:) = 0.0
	495
[75]	496	ENDIF
[73]	497
[75]	498	ENDIF
[73]	499
[106]	500	IF ( outflow_n ) THEN
[73]	501
[1159]	502	IF ( use_cmax ) THEN
	503	u_p(:,ny+1,:) = u(:,ny,:)
	504	v_p(:,ny+1,:) = v(:,ny,:)
	505	w_p(:,ny+1,:) = w(:,ny,:)
	506	ELSEIF ( .NOT. use_cmax ) THEN
[75]	507
[978]	508	c_max = dy / dt_3d
[75]	509
[978]	510	c_u_m_l = 0.0
	511	c_v_m_l = 0.0
	512	c_w_m_l = 0.0
	513
	514	c_u_m = 0.0
	515	c_v_m = 0.0
	516	c_w_m = 0.0
	517
[1]	518	!
[996]	519	!-- Calculate the phase speeds for u, v, and w, first local and then
	520	!-- average along the outflow boundary.
	521	DO k = nzb+1, nzt+1
	522	DO i = nxl, nxr
[73]	523
[106]	524	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	525
	526	IF ( denom /= 0.0 ) THEN
[996]	527	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[106]	528	IF ( c_u(k,i) < 0.0 ) THEN
	529	c_u(k,i) = 0.0
	530	ELSEIF ( c_u(k,i) > c_max ) THEN
	531	c_u(k,i) = c_max
	532	ENDIF
	533	ELSE
	534	c_u(k,i) = c_max
[73]	535	ENDIF
	536
[106]	537	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	538
[106]	539	IF ( denom /= 0.0 ) THEN
[996]	540	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[106]	541	IF ( c_v(k,i) < 0.0 ) THEN
	542	c_v(k,i) = 0.0
	543	ELSEIF ( c_v(k,i) > c_max ) THEN
	544	c_v(k,i) = c_max
	545	ENDIF
	546	ELSE
	547	c_v(k,i) = c_max
[73]	548	ENDIF
	549
[106]	550	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	551
[106]	552	IF ( denom /= 0.0 ) THEN
[996]	553	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[106]	554	IF ( c_w(k,i) < 0.0 ) THEN
	555	c_w(k,i) = 0.0
	556	ELSEIF ( c_w(k,i) > c_max ) THEN
	557	c_w(k,i) = c_max
	558	ENDIF
	559	ELSE
	560	c_w(k,i) = c_max
[73]	561	ENDIF
[106]	562
[978]	563	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	564	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	565	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	566
[978]	567	ENDDO
	568	ENDDO
[73]	569
[978]	570	#if defined( __parallel )
	571	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	572	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	573	MPI_SUM, comm1dx, ierr )
	574	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	575	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	576	MPI_SUM, comm1dx, ierr )
	577	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	578	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	579	MPI_SUM, comm1dx, ierr )
	580	#else
	581	c_u_m = c_u_m_l
	582	c_v_m = c_v_m_l
	583	c_w_m = c_w_m_l
	584	#endif
	585
	586	c_u_m = c_u_m / (nx+1)
	587	c_v_m = c_v_m / (nx+1)
	588	c_w_m = c_w_m / (nx+1)
	589
[73]	590	!
[978]	591	!-- Save old timelevels for the next timestep
	592	IF ( intermediate_timestep_count == 1 ) THEN
	593	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	594	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	595	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	596	ENDIF
[73]	597
[978]	598	!
	599	!-- Calculate the new velocities
[996]	600	DO k = nzb+1, nzt+1
	601	DO i = nxlg, nxrg
[978]	602	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	603	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	604
[978]	605	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	606	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	607
[978]	608	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	609	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	610	ENDDO
[1]	611	ENDDO
	612
	613	!
[978]	614	!-- Bottom boundary at the outflow
	615	IF ( ibc_uv_b == 0 ) THEN
	616	u_p(nzb,ny+1,:) = 0.0
	617	v_p(nzb,ny+1,:) = 0.0
	618	ELSE
	619	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	620	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	621	ENDIF
	622	w_p(nzb,ny+1,:) = 0.0
[73]	623
	624	!
[978]	625	!-- Top boundary at the outflow
	626	IF ( ibc_uv_t == 0 ) THEN
	627	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	628	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	629	ELSE
	630	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	631	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	632	ENDIF
	633	w_p(nzt:nzt+1,ny+1,:) = 0.0
	634
[1]	635	ENDIF
	636
[75]	637	ENDIF
	638
[106]	639	IF ( outflow_l ) THEN
[75]	640
[1159]	641	IF ( use_cmax ) THEN
	642	u_p(:,:,-1) = u(:,:,0)
	643	v_p(:,:,0) = v(:,:,1)
	644	w_p(:,:,-1) = w(:,:,0)
	645	ELSEIF ( .NOT. use_cmax ) THEN
[75]	646
[978]	647	c_max = dx / dt_3d
[75]	648
[978]	649	c_u_m_l = 0.0
	650	c_v_m_l = 0.0
	651	c_w_m_l = 0.0
	652
	653	c_u_m = 0.0
	654	c_v_m = 0.0
	655	c_w_m = 0.0
	656
[1]	657	!
[996]	658	!-- Calculate the phase speeds for u, v, and w, first local and then
	659	!-- average along the outflow boundary.
	660	DO k = nzb+1, nzt+1
	661	DO j = nys, nyn
[75]	662
[106]	663	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	664
	665	IF ( denom /= 0.0 ) THEN
[996]	666	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[107]	667	IF ( c_u(k,j) < 0.0 ) THEN
[106]	668	c_u(k,j) = 0.0
[107]	669	ELSEIF ( c_u(k,j) > c_max ) THEN
	670	c_u(k,j) = c_max
[106]	671	ENDIF
	672	ELSE
[107]	673	c_u(k,j) = c_max
[75]	674	ENDIF
	675
[106]	676	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	677
[106]	678	IF ( denom /= 0.0 ) THEN
[996]	679	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[106]	680	IF ( c_v(k,j) < 0.0 ) THEN
	681	c_v(k,j) = 0.0
	682	ELSEIF ( c_v(k,j) > c_max ) THEN
	683	c_v(k,j) = c_max
	684	ENDIF
	685	ELSE
	686	c_v(k,j) = c_max
[75]	687	ENDIF
	688
[106]	689	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	690
[106]	691	IF ( denom /= 0.0 ) THEN
[996]	692	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[106]	693	IF ( c_w(k,j) < 0.0 ) THEN
	694	c_w(k,j) = 0.0
	695	ELSEIF ( c_w(k,j) > c_max ) THEN
	696	c_w(k,j) = c_max
	697	ENDIF
	698	ELSE
	699	c_w(k,j) = c_max
[75]	700	ENDIF
[106]	701
[978]	702	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	703	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	704	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	705
[978]	706	ENDDO
	707	ENDDO
[75]	708
[978]	709	#if defined( __parallel )
	710	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	711	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	712	MPI_SUM, comm1dy, ierr )
	713	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	714	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	715	MPI_SUM, comm1dy, ierr )
	716	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	717	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	718	MPI_SUM, comm1dy, ierr )
	719	#else
	720	c_u_m = c_u_m_l
	721	c_v_m = c_v_m_l
	722	c_w_m = c_w_m_l
	723	#endif
	724
	725	c_u_m = c_u_m / (ny+1)
	726	c_v_m = c_v_m / (ny+1)
	727	c_w_m = c_w_m / (ny+1)
	728
[73]	729	!
[978]	730	!-- Save old timelevels for the next timestep
	731	IF ( intermediate_timestep_count == 1 ) THEN
	732	u_m_l(:,:,:) = u(:,:,1:2)
	733	v_m_l(:,:,:) = v(:,:,0:1)
	734	w_m_l(:,:,:) = w(:,:,0:1)
	735	ENDIF
	736
	737	!
	738	!-- Calculate the new velocities
[996]	739	DO k = nzb+1, nzt+1
[1113]	740	DO j = nysg, nyng
[978]	741	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	742	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	743
[978]	744	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	745	( v(k,j,-1) - v(k,j,0) ) * ddx
	746
[978]	747	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	748	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	749	ENDDO
[75]	750	ENDDO
	751
	752	!
[978]	753	!-- Bottom boundary at the outflow
	754	IF ( ibc_uv_b == 0 ) THEN
	755	u_p(nzb,:,0) = 0.0
	756	v_p(nzb,:,-1) = 0.0
	757	ELSE
	758	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	759	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	760	ENDIF
	761	w_p(nzb,:,-1) = 0.0
[1]	762
[75]	763	!
[978]	764	!-- Top boundary at the outflow
	765	IF ( ibc_uv_t == 0 ) THEN
	766	u_p(nzt+1,:,-1) = u_init(nzt+1)
	767	v_p(nzt+1,:,-1) = v_init(nzt+1)
	768	ELSE
	769	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
	770	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	771	ENDIF
	772	w_p(nzt:nzt+1,:,-1) = 0.0
	773
[75]	774	ENDIF
[73]	775
[75]	776	ENDIF
[73]	777
[106]	778	IF ( outflow_r ) THEN
[73]	779
[1159]	780	IF ( use_cmax ) THEN
	781	u_p(:,:,nx+1) = u(:,:,nx)
	782	v_p(:,:,nx+1) = v(:,:,nx)
	783	w_p(:,:,nx+1) = w(:,:,nx)
	784	ELSEIF ( .NOT. use_cmax ) THEN
[75]	785
[978]	786	c_max = dx / dt_3d
[75]	787
[978]	788	c_u_m_l = 0.0
	789	c_v_m_l = 0.0
	790	c_w_m_l = 0.0
	791
	792	c_u_m = 0.0
	793	c_v_m = 0.0
	794	c_w_m = 0.0
	795
[1]	796	!
[996]	797	!-- Calculate the phase speeds for u, v, and w, first local and then
	798	!-- average along the outflow boundary.
	799	DO k = nzb+1, nzt+1
	800	DO j = nys, nyn
[73]	801
[106]	802	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	803
	804	IF ( denom /= 0.0 ) THEN
[996]	805	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[106]	806	IF ( c_u(k,j) < 0.0 ) THEN
	807	c_u(k,j) = 0.0
	808	ELSEIF ( c_u(k,j) > c_max ) THEN
	809	c_u(k,j) = c_max
	810	ENDIF
	811	ELSE
	812	c_u(k,j) = c_max
[73]	813	ENDIF
	814
[106]	815	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	816
[106]	817	IF ( denom /= 0.0 ) THEN
[996]	818	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[106]	819	IF ( c_v(k,j) < 0.0 ) THEN
	820	c_v(k,j) = 0.0
	821	ELSEIF ( c_v(k,j) > c_max ) THEN
	822	c_v(k,j) = c_max
	823	ENDIF
	824	ELSE
	825	c_v(k,j) = c_max
[73]	826	ENDIF
	827
[106]	828	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	829
[106]	830	IF ( denom /= 0.0 ) THEN
[996]	831	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[106]	832	IF ( c_w(k,j) < 0.0 ) THEN
	833	c_w(k,j) = 0.0
	834	ELSEIF ( c_w(k,j) > c_max ) THEN
	835	c_w(k,j) = c_max
	836	ENDIF
	837	ELSE
	838	c_w(k,j) = c_max
[73]	839	ENDIF
[106]	840
[978]	841	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	842	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	843	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	844
[978]	845	ENDDO
	846	ENDDO
[73]	847
[978]	848	#if defined( __parallel )
	849	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	850	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	851	MPI_SUM, comm1dy, ierr )
	852	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	853	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	854	MPI_SUM, comm1dy, ierr )
	855	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	856	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	857	MPI_SUM, comm1dy, ierr )
	858	#else
	859	c_u_m = c_u_m_l
	860	c_v_m = c_v_m_l
	861	c_w_m = c_w_m_l
	862	#endif
	863
	864	c_u_m = c_u_m / (ny+1)
	865	c_v_m = c_v_m / (ny+1)
	866	c_w_m = c_w_m / (ny+1)
	867
[73]	868	!
[978]	869	!-- Save old timelevels for the next timestep
	870	IF ( intermediate_timestep_count == 1 ) THEN
	871	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	872	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	873	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	874	ENDIF
[73]	875
[978]	876	!
	877	!-- Calculate the new velocities
[996]	878	DO k = nzb+1, nzt+1
[1113]	879	DO j = nysg, nyng
[978]	880	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	881	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	882
[978]	883	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	884	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	885
[978]	886	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	887	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	888	ENDDO
[73]	889	ENDDO
	890
	891	!
[978]	892	!-- Bottom boundary at the outflow
	893	IF ( ibc_uv_b == 0 ) THEN
	894	u_p(nzb,:,nx+1) = 0.0
	895	v_p(nzb,:,nx+1) = 0.0
	896	ELSE
	897	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	898	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	899	ENDIF
	900	w_p(nzb,:,nx+1) = 0.0
[73]	901
	902	!
[978]	903	!-- Top boundary at the outflow
	904	IF ( ibc_uv_t == 0 ) THEN
	905	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	906	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	907	ELSE
	908	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	909	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	910	ENDIF
	911	w(nzt:nzt+1,:,nx+1) = 0.0
	912
[1]	913	ENDIF
	914
	915	ENDIF
	916
	917	END SUBROUTINE boundary_conds

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