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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1166

Last change on this file since 1166 was 1160, checked in by fricke, 12 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	! -----------------
[1160]	22	!
	23	!
	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 1160 2013-05-21 12:06:24Z raasch $
	27	!
	28	! 1159 2013-05-21 11:58:22Z fricke
[1159]	29	! Bugfix: Neumann boundary conditions for the velocity components at the
	30	! outflow are in fact radiation boundary conditions using the maximum phase
	31	! velocity that ensures numerical stability (CFL-condition).
	32	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	33	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	34	! u_p, v_p, w_p
[1116]	35	!
	36	! 1115 2013-03-26 18:16:16Z hoffmann
	37	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	38	! boundary-conditions
	39	!
[1114]	40	! 1113 2013-03-10 02:48:14Z raasch
	41	! GPU-porting
	42	! dummy argument "range" removed
	43	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	44	!
[1054]	45	! 1053 2012-11-13 17:11:03Z hoffmann
	46	! boundary conditions for the two new prognostic equations (nr, qr) of the
	47	! two-moment cloud scheme
	48	!
[1037]	49	! 1036 2012-10-22 13:43:42Z raasch
	50	! code put under GPL (PALM 3.9)
	51	!
[997]	52	! 996 2012-09-07 10:41:47Z raasch
	53	! little reformatting
	54	!
[979]	55	! 978 2012-08-09 08:28:32Z fricke
	56	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	57	! Outflow boundary conditions for the velocity components can be set to Neumann
	58	! conditions or to radiation conditions with a horizontal averaged phase
	59	! velocity.
	60	!
[876]	61	! 875 2012-04-02 15:35:15Z gryschka
	62	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	63	!
[768]	64	! 767 2011-10-14 06:39:12Z raasch
	65	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
	66	!
[668]	67	! 667 2010-12-23 12:06:00Z suehring/gryschka
	68	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
	69	! Removed mirror boundary conditions for u and v at the bottom in case of
	70	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
	71	! in init_3d_model
	72	!
[110]	73	! 107 2007-08-17 13:54:45Z raasch
	74	! Boundary conditions for temperature adjusted for coupled runs,
	75	! bugfixes for the radiation boundary conditions at the outflow: radiation
	76	! conditions are used for every substep, phase speeds are calculated for the
	77	! first Runge-Kutta substep only and then reused, several index values changed
	78	!
[98]	79	! 95 2007-06-02 16:48:38Z raasch
	80	! Boundary conditions for salinity added
	81	!
[77]	82	! 75 2007-03-22 09:54:05Z raasch
	83	! The "main" part sets conditions for time level t+dt instead of level t,
	84	! outflow boundary conditions changed from Neumann to radiation condition,
	85	! uxrp, vynp eliminated, moisture renamed humidity
	86	!
[39]	87	! 19 2007-02-23 04:53:48Z raasch
	88	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
	89	! gridpoints are now calculated by the prognostic equation,
	90	! Dirichlet and zero gradient condition for pt established at top boundary
	91	!
[3]	92	! RCS Log replace by Id keyword, revision history cleaned up
	93	!
[1]	94	! Revision 1.15 2006/02/23 09:54:55 raasch
	95	! Surface boundary conditions in case of topography: nzb replaced by
	96	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
	97	! unchanged (still using nzb) because a non-flat topography must use a
	98	! Prandtl-layer, which don't requires explicit setting of the surface values.
	99	!
	100	! Revision 1.1 1997/09/12 06:21:34 raasch
	101	! Initial revision
	102	!
	103	!
	104	! Description:
	105	! ------------
[1159]	106	! Boundary conditions for the prognostic quantities.
[1]	107	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
	108	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	109	! handled in routine exchange_horiz. Pressure boundary conditions are
	110	! explicitly set in routines pres, poisfft, poismg and sor.
	111	!------------------------------------------------------------------------------!
	112
	113	USE arrays_3d
	114	USE control_parameters
	115	USE grid_variables
	116	USE indices
	117	USE pegrid
	118
	119	IMPLICIT NONE
	120
	121	INTEGER :: i, j, k
	122
[106]	123	REAL :: c_max, denom
[1]	124
[73]	125
[1]	126	!
[1113]	127	!-- Bottom boundary
	128	IF ( ibc_uv_b == 1 ) THEN
	129	!$acc kernels present( u_p, v_p )
	130	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	131	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	132	!$acc end kernels
	133	ENDIF
	134
	135	!$acc kernels present( nzb_w_inner, w_p )
	136	DO i = nxlg, nxrg
	137	DO j = nysg, nyng
	138	w_p(nzb_w_inner(j,i),j,i) = 0.0
	139	ENDDO
	140	ENDDO
	141	!$acc end kernels
	142
	143	!
	144	!-- Top boundary
	145	IF ( ibc_uv_t == 0 ) THEN
	146	!$acc kernels present( u_init, u_p, v_init, v_p )
	147	u_p(nzt+1,:,:) = u_init(nzt+1)
	148	v_p(nzt+1,:,:) = v_init(nzt+1)
	149	!$acc end kernels
	150	ELSE
	151	!$acc kernels present( u_p, v_p )
	152	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	153	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	154	!$acc end kernels
	155	ENDIF
	156	!$acc kernels present( w_p )
	157	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
	158	!$acc end kernels
	159
	160	!
	161	!-- Temperature at bottom boundary.
	162	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	163	!-- the sea surface temperature of the coupled ocean model.
	164	IF ( ibc_pt_b == 0 ) THEN
	165	!$acc kernels present( nzb_s_inner, pt, pt_p )
[667]	166	DO i = nxlg, nxrg
	167	DO j = nysg, nyng
[1113]	168	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
[1]	169	ENDDO
	170	ENDDO
[1113]	171	!$acc end kernels
	172	ELSEIF ( ibc_pt_b == 1 ) THEN
	173	!$acc kernels present( nzb_s_inner, pt_p )
	174	DO i = nxlg, nxrg
	175	DO j = nysg, nyng
	176	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
	177	ENDDO
	178	ENDDO
	179	!$acc end kernels
	180	ENDIF
[1]	181
	182	!
[1113]	183	!-- Temperature at top boundary
	184	IF ( ibc_pt_t == 0 ) THEN
	185	!$acc kernels present( pt, pt_p )
	186	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
	187	!$acc end kernels
	188	ELSEIF ( ibc_pt_t == 1 ) THEN
	189	!$acc kernels present( pt_p )
	190	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	191	!$acc end kernels
	192	ELSEIF ( ibc_pt_t == 2 ) THEN
	193	!$acc kernels present( dzu, pt_p )
	194	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
	195	!$acc end kernels
	196	ENDIF
[1]	197
	198	!
[1113]	199	!-- Boundary conditions for TKE
	200	!-- Generally Neumann conditions with de/dz=0 are assumed
	201	IF ( .NOT. constant_diffusion ) THEN
	202	!$acc kernels present( e_p, nzb_s_inner )
	203	DO i = nxlg, nxrg
	204	DO j = nysg, nyng
	205	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
[73]	206	ENDDO
[1113]	207	ENDDO
	208	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	209	!$acc end kernels
	210	ENDIF
	211
	212	!
	213	!-- Boundary conditions for salinity
	214	IF ( ocean ) THEN
	215	!
	216	!-- Bottom boundary: Neumann condition because salinity flux is always
	217	!-- given
	218	DO i = nxlg, nxrg
	219	DO j = nysg, nyng
	220	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
[1]	221	ENDDO
[1113]	222	ENDDO
[1]	223
	224	!
[1113]	225	!-- Top boundary: Dirichlet or Neumann
	226	IF ( ibc_sa_t == 0 ) THEN
	227	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	228	ELSEIF ( ibc_sa_t == 1 ) THEN
	229	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	230	ENDIF
	231
[1113]	232	ENDIF
	233
[1]	234	!
[1113]	235	!-- Boundary conditions for total water content or scalar,
	236	!-- bottom and top boundary (see also temperature)
	237	IF ( humidity .OR. passive_scalar ) THEN
	238	!
	239	!-- Surface conditions for constant_humidity_flux
	240	IF ( ibc_q_b == 0 ) THEN
[667]	241	DO i = nxlg, nxrg
	242	DO j = nysg, nyng
[1113]	243	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
[1]	244	ENDDO
	245	ENDDO
[1113]	246	ELSE
[667]	247	DO i = nxlg, nxrg
	248	DO j = nysg, nyng
[1113]	249	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
[95]	250	ENDDO
	251	ENDDO
[1113]	252	ENDIF
[95]	253	!
[1113]	254	!-- Top boundary
	255	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[95]	256
[1115]	257	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	258	precipitation ) THEN
[1113]	259	!
[1115]	260	!-- Surface conditions rain water (Neumann)
	261	DO i = nxlg, nxrg
	262	DO j = nysg, nyng
	263	qr_p(nzb_s_inner(j,i),j,i) = qr_p(nzb_s_inner(j,i)+1,j,i)
	264	nr_p(nzb_s_inner(j,i),j,i) = nr_p(nzb_s_inner(j,i)+1,j,i)
[73]	265	ENDDO
[1115]	266	ENDDO
[1]	267	!
[1115]	268	!-- Top boundary condition for rain water (Neumann)
	269	qr_p(nzt+1,:,:) = qr_p(nzt,:,:)
	270	nr_p(nzt+1,:,:) = nr_p(nzt,:,:)
	271
[1]	272	ENDIF
	273	!
[875]	274	!-- In case of inflow at the south boundary the boundary for v is at nys
	275	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
	276	!-- Since in prognostic_equations (cache optimized version) these levels are
	277	!-- handled as a prognostic level, boundary values have to be restored here.
[978]	278	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[1]	279	IF ( inflow_s ) THEN
[73]	280	v_p(:,nys,:) = v_p(:,nys-1,:)
[978]	281	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	282	ELSEIF ( inflow_n ) THEN
	283	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1]	284	ELSEIF ( inflow_l ) THEN
[73]	285	u_p(:,:,nxl) = u_p(:,:,nxl-1)
[978]	286	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	287	ELSEIF ( inflow_r ) THEN
	288	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1]	289	ENDIF
	290
	291	!
	292	!-- Lateral boundary conditions for scalar quantities at the outflow
	293	IF ( outflow_s ) THEN
[73]	294	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	295	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[1115]	296	IF ( humidity .OR. passive_scalar ) THEN
[1053]	297	q_p(:,nys-1,:) = q_p(:,nys,:)
[1115]	298	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	299	precipitation) THEN
[1053]	300	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	301	nr_p(:,nys-1,:) = nr_p(:,nys,:)
	302	ENDIF
	303	ENDIF
[1]	304	ELSEIF ( outflow_n ) THEN
[73]	305	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	306	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1115]	307	IF ( humidity .OR. passive_scalar ) THEN
[1053]	308	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[1115]	309	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	310	precipitation ) THEN
[1053]	311	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	312	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
	313	ENDIF
	314	ENDIF
[1]	315	ELSEIF ( outflow_l ) THEN
[73]	316	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	317	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[1115]	318	IF ( humidity .OR. passive_scalar ) THEN
[1053]	319	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[1115]	320	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	321	precipitation ) THEN
[1053]	322	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	323	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
	324	ENDIF
	325	ENDIF
[1]	326	ELSEIF ( outflow_r ) THEN
[73]	327	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	328	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1053]	329	IF ( humidity .OR. passive_scalar ) THEN
	330	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[1115]	331	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
[1053]	332	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	333	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
	334	ENDIF
	335	ENDIF
[1]	336	ENDIF
	337
	338	ENDIF
	339
	340	!
[1159]	341	!-- Radiation boundary conditions for the velocities at the respective outflow.
	342	!-- The phase velocity is either assumed to the maximum phase velocity that
	343	!-- ensures numerical stability (CFL-condition) or calculated after
	344	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	345	IF ( outflow_s ) THEN
[75]	346
[1159]	347	IF ( use_cmax ) THEN
	348	u_p(:,-1,:) = u(:,0,:)
	349	v_p(:,0,:) = v(:,1,:)
	350	w_p(:,-1,:) = w(:,0,:)
	351	ELSEIF ( .NOT. use_cmax ) THEN
[75]	352
[978]	353	c_max = dy / dt_3d
[75]	354
[978]	355	c_u_m_l = 0.0
	356	c_v_m_l = 0.0
	357	c_w_m_l = 0.0
	358
	359	c_u_m = 0.0
	360	c_v_m = 0.0
	361	c_w_m = 0.0
	362
[75]	363	!
[996]	364	!-- Calculate the phase speeds for u, v, and w, first local and then
	365	!-- average along the outflow boundary.
	366	DO k = nzb+1, nzt+1
	367	DO i = nxl, nxr
[75]	368
[106]	369	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	370
	371	IF ( denom /= 0.0 ) THEN
[996]	372	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[106]	373	IF ( c_u(k,i) < 0.0 ) THEN
	374	c_u(k,i) = 0.0
	375	ELSEIF ( c_u(k,i) > c_max ) THEN
	376	c_u(k,i) = c_max
	377	ENDIF
	378	ELSE
	379	c_u(k,i) = c_max
[75]	380	ENDIF
	381
[106]	382	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	383
	384	IF ( denom /= 0.0 ) THEN
[996]	385	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[106]	386	IF ( c_v(k,i) < 0.0 ) THEN
	387	c_v(k,i) = 0.0
	388	ELSEIF ( c_v(k,i) > c_max ) THEN
	389	c_v(k,i) = c_max
	390	ENDIF
	391	ELSE
	392	c_v(k,i) = c_max
[75]	393	ENDIF
	394
[106]	395	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	396
[106]	397	IF ( denom /= 0.0 ) THEN
[996]	398	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[106]	399	IF ( c_w(k,i) < 0.0 ) THEN
	400	c_w(k,i) = 0.0
	401	ELSEIF ( c_w(k,i) > c_max ) THEN
	402	c_w(k,i) = c_max
	403	ENDIF
	404	ELSE
	405	c_w(k,i) = c_max
[75]	406	ENDIF
[106]	407
[978]	408	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	409	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	410	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	411
[978]	412	ENDDO
	413	ENDDO
[75]	414
[978]	415	#if defined( __parallel )
	416	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	417	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	418	MPI_SUM, comm1dx, ierr )
	419	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	420	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	421	MPI_SUM, comm1dx, ierr )
	422	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	423	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	424	MPI_SUM, comm1dx, ierr )
	425	#else
	426	c_u_m = c_u_m_l
	427	c_v_m = c_v_m_l
	428	c_w_m = c_w_m_l
	429	#endif
	430
	431	c_u_m = c_u_m / (nx+1)
	432	c_v_m = c_v_m / (nx+1)
	433	c_w_m = c_w_m / (nx+1)
	434
[75]	435	!
[978]	436	!-- Save old timelevels for the next timestep
	437	IF ( intermediate_timestep_count == 1 ) THEN
	438	u_m_s(:,:,:) = u(:,0:1,:)
	439	v_m_s(:,:,:) = v(:,1:2,:)
	440	w_m_s(:,:,:) = w(:,0:1,:)
	441	ENDIF
	442
	443	!
	444	!-- Calculate the new velocities
[996]	445	DO k = nzb+1, nzt+1
	446	DO i = nxlg, nxrg
[978]	447	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	448	( u(k,-1,i) - u(k,0,i) ) * ddy
	449
[978]	450	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	451	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	452
[978]	453	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	454	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	455	ENDDO
[75]	456	ENDDO
	457
	458	!
[978]	459	!-- Bottom boundary at the outflow
	460	IF ( ibc_uv_b == 0 ) THEN
	461	u_p(nzb,-1,:) = 0.0
	462	v_p(nzb,0,:) = 0.0
	463	ELSE
	464	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	465	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	466	ENDIF
	467	w_p(nzb,-1,:) = 0.0
[73]	468
[75]	469	!
[978]	470	!-- Top boundary at the outflow
	471	IF ( ibc_uv_t == 0 ) THEN
	472	u_p(nzt+1,-1,:) = u_init(nzt+1)
	473	v_p(nzt+1,0,:) = v_init(nzt+1)
	474	ELSE
	475	u_p(nzt+1,-1,:) = u(nzt,-1,:)
	476	v_p(nzt+1,0,:) = v(nzt,0,:)
	477	ENDIF
	478	w_p(nzt:nzt+1,-1,:) = 0.0
	479
[75]	480	ENDIF
[73]	481
[75]	482	ENDIF
[73]	483
[106]	484	IF ( outflow_n ) THEN
[73]	485
[1159]	486	IF ( use_cmax ) THEN
	487	u_p(:,ny+1,:) = u(:,ny,:)
	488	v_p(:,ny+1,:) = v(:,ny,:)
	489	w_p(:,ny+1,:) = w(:,ny,:)
	490	ELSEIF ( .NOT. use_cmax ) THEN
[75]	491
[978]	492	c_max = dy / dt_3d
[75]	493
[978]	494	c_u_m_l = 0.0
	495	c_v_m_l = 0.0
	496	c_w_m_l = 0.0
	497
	498	c_u_m = 0.0
	499	c_v_m = 0.0
	500	c_w_m = 0.0
	501
[1]	502	!
[996]	503	!-- Calculate the phase speeds for u, v, and w, first local and then
	504	!-- average along the outflow boundary.
	505	DO k = nzb+1, nzt+1
	506	DO i = nxl, nxr
[73]	507
[106]	508	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	509
	510	IF ( denom /= 0.0 ) THEN
[996]	511	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[106]	512	IF ( c_u(k,i) < 0.0 ) THEN
	513	c_u(k,i) = 0.0
	514	ELSEIF ( c_u(k,i) > c_max ) THEN
	515	c_u(k,i) = c_max
	516	ENDIF
	517	ELSE
	518	c_u(k,i) = c_max
[73]	519	ENDIF
	520
[106]	521	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	522
[106]	523	IF ( denom /= 0.0 ) THEN
[996]	524	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[106]	525	IF ( c_v(k,i) < 0.0 ) THEN
	526	c_v(k,i) = 0.0
	527	ELSEIF ( c_v(k,i) > c_max ) THEN
	528	c_v(k,i) = c_max
	529	ENDIF
	530	ELSE
	531	c_v(k,i) = c_max
[73]	532	ENDIF
	533
[106]	534	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	535
[106]	536	IF ( denom /= 0.0 ) THEN
[996]	537	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[106]	538	IF ( c_w(k,i) < 0.0 ) THEN
	539	c_w(k,i) = 0.0
	540	ELSEIF ( c_w(k,i) > c_max ) THEN
	541	c_w(k,i) = c_max
	542	ENDIF
	543	ELSE
	544	c_w(k,i) = c_max
[73]	545	ENDIF
[106]	546
[978]	547	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	548	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	549	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	550
[978]	551	ENDDO
	552	ENDDO
[73]	553
[978]	554	#if defined( __parallel )
	555	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	556	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	557	MPI_SUM, comm1dx, ierr )
	558	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	559	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	560	MPI_SUM, comm1dx, ierr )
	561	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	562	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	563	MPI_SUM, comm1dx, ierr )
	564	#else
	565	c_u_m = c_u_m_l
	566	c_v_m = c_v_m_l
	567	c_w_m = c_w_m_l
	568	#endif
	569
	570	c_u_m = c_u_m / (nx+1)
	571	c_v_m = c_v_m / (nx+1)
	572	c_w_m = c_w_m / (nx+1)
	573
[73]	574	!
[978]	575	!-- Save old timelevels for the next timestep
	576	IF ( intermediate_timestep_count == 1 ) THEN
	577	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	578	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	579	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	580	ENDIF
[73]	581
[978]	582	!
	583	!-- Calculate the new velocities
[996]	584	DO k = nzb+1, nzt+1
	585	DO i = nxlg, nxrg
[978]	586	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	587	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	588
[978]	589	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	590	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	591
[978]	592	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	593	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	594	ENDDO
[1]	595	ENDDO
	596
	597	!
[978]	598	!-- Bottom boundary at the outflow
	599	IF ( ibc_uv_b == 0 ) THEN
	600	u_p(nzb,ny+1,:) = 0.0
	601	v_p(nzb,ny+1,:) = 0.0
	602	ELSE
	603	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	604	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	605	ENDIF
	606	w_p(nzb,ny+1,:) = 0.0
[73]	607
	608	!
[978]	609	!-- Top boundary at the outflow
	610	IF ( ibc_uv_t == 0 ) THEN
	611	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	612	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	613	ELSE
	614	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	615	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	616	ENDIF
	617	w_p(nzt:nzt+1,ny+1,:) = 0.0
	618
[1]	619	ENDIF
	620
[75]	621	ENDIF
	622
[106]	623	IF ( outflow_l ) THEN
[75]	624
[1159]	625	IF ( use_cmax ) THEN
	626	u_p(:,:,-1) = u(:,:,0)
	627	v_p(:,:,0) = v(:,:,1)
	628	w_p(:,:,-1) = w(:,:,0)
	629	ELSEIF ( .NOT. use_cmax ) THEN
[75]	630
[978]	631	c_max = dx / dt_3d
[75]	632
[978]	633	c_u_m_l = 0.0
	634	c_v_m_l = 0.0
	635	c_w_m_l = 0.0
	636
	637	c_u_m = 0.0
	638	c_v_m = 0.0
	639	c_w_m = 0.0
	640
[1]	641	!
[996]	642	!-- Calculate the phase speeds for u, v, and w, first local and then
	643	!-- average along the outflow boundary.
	644	DO k = nzb+1, nzt+1
	645	DO j = nys, nyn
[75]	646
[106]	647	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	648
	649	IF ( denom /= 0.0 ) THEN
[996]	650	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[107]	651	IF ( c_u(k,j) < 0.0 ) THEN
[106]	652	c_u(k,j) = 0.0
[107]	653	ELSEIF ( c_u(k,j) > c_max ) THEN
	654	c_u(k,j) = c_max
[106]	655	ENDIF
	656	ELSE
[107]	657	c_u(k,j) = c_max
[75]	658	ENDIF
	659
[106]	660	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	661
[106]	662	IF ( denom /= 0.0 ) THEN
[996]	663	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[106]	664	IF ( c_v(k,j) < 0.0 ) THEN
	665	c_v(k,j) = 0.0
	666	ELSEIF ( c_v(k,j) > c_max ) THEN
	667	c_v(k,j) = c_max
	668	ENDIF
	669	ELSE
	670	c_v(k,j) = c_max
[75]	671	ENDIF
	672
[106]	673	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	674
[106]	675	IF ( denom /= 0.0 ) THEN
[996]	676	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[106]	677	IF ( c_w(k,j) < 0.0 ) THEN
	678	c_w(k,j) = 0.0
	679	ELSEIF ( c_w(k,j) > c_max ) THEN
	680	c_w(k,j) = c_max
	681	ENDIF
	682	ELSE
	683	c_w(k,j) = c_max
[75]	684	ENDIF
[106]	685
[978]	686	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	687	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	688	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	689
[978]	690	ENDDO
	691	ENDDO
[75]	692
[978]	693	#if defined( __parallel )
	694	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	695	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	696	MPI_SUM, comm1dy, ierr )
	697	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	698	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	699	MPI_SUM, comm1dy, ierr )
	700	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	701	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	702	MPI_SUM, comm1dy, ierr )
	703	#else
	704	c_u_m = c_u_m_l
	705	c_v_m = c_v_m_l
	706	c_w_m = c_w_m_l
	707	#endif
	708
	709	c_u_m = c_u_m / (ny+1)
	710	c_v_m = c_v_m / (ny+1)
	711	c_w_m = c_w_m / (ny+1)
	712
[73]	713	!
[978]	714	!-- Save old timelevels for the next timestep
	715	IF ( intermediate_timestep_count == 1 ) THEN
	716	u_m_l(:,:,:) = u(:,:,1:2)
	717	v_m_l(:,:,:) = v(:,:,0:1)
	718	w_m_l(:,:,:) = w(:,:,0:1)
	719	ENDIF
	720
	721	!
	722	!-- Calculate the new velocities
[996]	723	DO k = nzb+1, nzt+1
[1113]	724	DO j = nysg, nyng
[978]	725	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	726	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	727
[978]	728	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	729	( v(k,j,-1) - v(k,j,0) ) * ddx
	730
[978]	731	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	732	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	733	ENDDO
[75]	734	ENDDO
	735
	736	!
[978]	737	!-- Bottom boundary at the outflow
	738	IF ( ibc_uv_b == 0 ) THEN
	739	u_p(nzb,:,0) = 0.0
	740	v_p(nzb,:,-1) = 0.0
	741	ELSE
	742	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	743	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	744	ENDIF
	745	w_p(nzb,:,-1) = 0.0
[1]	746
[75]	747	!
[978]	748	!-- Top boundary at the outflow
	749	IF ( ibc_uv_t == 0 ) THEN
	750	u_p(nzt+1,:,-1) = u_init(nzt+1)
	751	v_p(nzt+1,:,-1) = v_init(nzt+1)
	752	ELSE
	753	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
	754	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	755	ENDIF
	756	w_p(nzt:nzt+1,:,-1) = 0.0
	757
[75]	758	ENDIF
[73]	759
[75]	760	ENDIF
[73]	761
[106]	762	IF ( outflow_r ) THEN
[73]	763
[1159]	764	IF ( use_cmax ) THEN
	765	u_p(:,:,nx+1) = u(:,:,nx)
	766	v_p(:,:,nx+1) = v(:,:,nx)
	767	w_p(:,:,nx+1) = w(:,:,nx)
	768	ELSEIF ( .NOT. use_cmax ) THEN
[75]	769
[978]	770	c_max = dx / dt_3d
[75]	771
[978]	772	c_u_m_l = 0.0
	773	c_v_m_l = 0.0
	774	c_w_m_l = 0.0
	775
	776	c_u_m = 0.0
	777	c_v_m = 0.0
	778	c_w_m = 0.0
	779
[1]	780	!
[996]	781	!-- Calculate the phase speeds for u, v, and w, first local and then
	782	!-- average along the outflow boundary.
	783	DO k = nzb+1, nzt+1
	784	DO j = nys, nyn
[73]	785
[106]	786	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	787
	788	IF ( denom /= 0.0 ) THEN
[996]	789	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[106]	790	IF ( c_u(k,j) < 0.0 ) THEN
	791	c_u(k,j) = 0.0
	792	ELSEIF ( c_u(k,j) > c_max ) THEN
	793	c_u(k,j) = c_max
	794	ENDIF
	795	ELSE
	796	c_u(k,j) = c_max
[73]	797	ENDIF
	798
[106]	799	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	800
[106]	801	IF ( denom /= 0.0 ) THEN
[996]	802	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[106]	803	IF ( c_v(k,j) < 0.0 ) THEN
	804	c_v(k,j) = 0.0
	805	ELSEIF ( c_v(k,j) > c_max ) THEN
	806	c_v(k,j) = c_max
	807	ENDIF
	808	ELSE
	809	c_v(k,j) = c_max
[73]	810	ENDIF
	811
[106]	812	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	813
[106]	814	IF ( denom /= 0.0 ) THEN
[996]	815	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[106]	816	IF ( c_w(k,j) < 0.0 ) THEN
	817	c_w(k,j) = 0.0
	818	ELSEIF ( c_w(k,j) > c_max ) THEN
	819	c_w(k,j) = c_max
	820	ENDIF
	821	ELSE
	822	c_w(k,j) = c_max
[73]	823	ENDIF
[106]	824
[978]	825	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	826	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	827	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	828
[978]	829	ENDDO
	830	ENDDO
[73]	831
[978]	832	#if defined( __parallel )
	833	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	834	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	835	MPI_SUM, comm1dy, ierr )
	836	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	837	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	838	MPI_SUM, comm1dy, ierr )
	839	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	840	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	841	MPI_SUM, comm1dy, ierr )
	842	#else
	843	c_u_m = c_u_m_l
	844	c_v_m = c_v_m_l
	845	c_w_m = c_w_m_l
	846	#endif
	847
	848	c_u_m = c_u_m / (ny+1)
	849	c_v_m = c_v_m / (ny+1)
	850	c_w_m = c_w_m / (ny+1)
	851
[73]	852	!
[978]	853	!-- Save old timelevels for the next timestep
	854	IF ( intermediate_timestep_count == 1 ) THEN
	855	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	856	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	857	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	858	ENDIF
[73]	859
[978]	860	!
	861	!-- Calculate the new velocities
[996]	862	DO k = nzb+1, nzt+1
[1113]	863	DO j = nysg, nyng
[978]	864	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	865	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	866
[978]	867	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	868	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	869
[978]	870	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	871	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	872	ENDDO
[73]	873	ENDDO
	874
	875	!
[978]	876	!-- Bottom boundary at the outflow
	877	IF ( ibc_uv_b == 0 ) THEN
	878	u_p(nzb,:,nx+1) = 0.0
	879	v_p(nzb,:,nx+1) = 0.0
	880	ELSE
	881	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	882	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	883	ENDIF
	884	w_p(nzb,:,nx+1) = 0.0
[73]	885
	886	!
[978]	887	!-- Top boundary at the outflow
	888	IF ( ibc_uv_t == 0 ) THEN
	889	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	890	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	891	ELSE
	892	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	893	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	894	ENDIF
	895	w(nzt:nzt+1,:,nx+1) = 0.0
	896
[1]	897	ENDIF
	898
	899	ENDIF
	900
	901	END SUBROUTINE boundary_conds

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