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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1372

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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	!
[1310]	17	! Copyright 1997-2014 Leibniz Universitaet Hannover
[1036]	18	!--------------------------------------------------------------------------------!
	19	!
[484]	20	! Current revisions:
[1]	21	! -----------------
[1354]	22	!
[1362]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 1362 2014-04-16 15:19:12Z raasch $
	27	!
[1362]	28	! 1361 2014-04-16 15:17:48Z hoffmann
	29	! Bottom and top boundary conditions of rain water content (qr) and
	30	! rain drop concentration (nr) changed to Dirichlet
	31	!
[1354]	32	! 1353 2014-04-08 15:21:23Z heinze
	33	! REAL constants provided with KIND-attribute
	34	!
[1321]	35	! 1320 2014-03-20 08:40:49Z raasch
[1320]	36	! ONLY-attribute added to USE-statements,
	37	! kind-parameters added to all INTEGER and REAL declaration statements,
	38	! kinds are defined in new module kinds,
	39	! revision history before 2012 removed,
	40	! comment fields (!:) to be used for variable explanations added to
	41	! all variable declaration statements
[1160]	42	!
[1258]	43	! 1257 2013-11-08 15:18:40Z raasch
	44	! loop independent clauses added
	45	!
[1242]	46	! 1241 2013-10-30 11:36:58Z heinze
	47	! Adjust ug and vg at each timestep in case of large_scale_forcing
	48	!
[1160]	49	! 1159 2013-05-21 11:58:22Z fricke
[1159]	50	! Bugfix: Neumann boundary conditions for the velocity components at the
	51	! outflow are in fact radiation boundary conditions using the maximum phase
	52	! velocity that ensures numerical stability (CFL-condition).
	53	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	54	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	55	! u_p, v_p, w_p
[1116]	56	!
	57	! 1115 2013-03-26 18:16:16Z hoffmann
	58	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	59	! boundary-conditions
	60	!
[1114]	61	! 1113 2013-03-10 02:48:14Z raasch
	62	! GPU-porting
	63	! dummy argument "range" removed
	64	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	65	!
[1054]	66	! 1053 2012-11-13 17:11:03Z hoffmann
	67	! boundary conditions for the two new prognostic equations (nr, qr) of the
	68	! two-moment cloud scheme
	69	!
[1037]	70	! 1036 2012-10-22 13:43:42Z raasch
	71	! code put under GPL (PALM 3.9)
	72	!
[997]	73	! 996 2012-09-07 10:41:47Z raasch
	74	! little reformatting
	75	!
[979]	76	! 978 2012-08-09 08:28:32Z fricke
	77	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	78	! Outflow boundary conditions for the velocity components can be set to Neumann
	79	! conditions or to radiation conditions with a horizontal averaged phase
	80	! velocity.
	81	!
[876]	82	! 875 2012-04-02 15:35:15Z gryschka
	83	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	84	!
[1]	85	! Revision 1.1 1997/09/12 06:21:34 raasch
	86	! Initial revision
	87	!
	88	!
	89	! Description:
	90	! ------------
[1159]	91	! Boundary conditions for the prognostic quantities.
[1]	92	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
	93	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	94	! handled in routine exchange_horiz. Pressure boundary conditions are
	95	! explicitly set in routines pres, poisfft, poismg and sor.
	96	!------------------------------------------------------------------------------!
	97
[1320]	98	USE arrays_3d, &
	99	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, &
	100	dzu, e_p, nr_p, pt, pt_p, q, q_p, qr_p, sa, sa_p, &
	101	u, ug, u_init, u_m_l, u_m_n, u_m_r, u_m_s, u_p, &
	102	v, vg, v_init, v_m_l, v_m_n, v_m_r, v_m_s, v_p, &
	103	w, w_p, w_m_l, w_m_n, w_m_r, w_m_s
	104
	105	USE control_parameters, &
	106	ONLY: bc_pt_t_val, bc_q_t_val, constant_diffusion, &
	107	cloud_physics, dt_3d, humidity, &
	108	ibc_pt_b, ibc_pt_t, ibc_q_b, ibc_sa_t, ibc_uv_b, ibc_uv_t, &
	109	icloud_scheme, inflow_l, inflow_n, inflow_r, inflow_s, &
	110	intermediate_timestep_count, large_scale_forcing, ocean, &
	111	outflow_l, outflow_n, outflow_r, outflow_s, passive_scalar, &
	112	precipitation, tsc, use_cmax
	113
	114	USE grid_variables, &
	115	ONLY: ddx, ddy, dx, dy
	116
	117	USE indices, &
	118	ONLY: nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, &
	119	nzb, nzb_s_inner, nzb_w_inner, nzt
	120
	121	USE kinds
	122
[1]	123	USE pegrid
	124
[1320]	125
[1]	126	IMPLICIT NONE
	127
[1320]	128	INTEGER(iwp) :: i !:
	129	INTEGER(iwp) :: j !:
	130	INTEGER(iwp) :: k !:
[1]	131
[1320]	132	REAL(wp) :: c_max !:
	133	REAL(wp) :: denom !:
[1]	134
[73]	135
[1]	136	!
[1113]	137	!-- Bottom boundary
	138	IF ( ibc_uv_b == 1 ) THEN
	139	!$acc kernels present( u_p, v_p )
	140	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	141	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	142	!$acc end kernels
	143	ENDIF
	144
	145	!$acc kernels present( nzb_w_inner, w_p )
	146	DO i = nxlg, nxrg
	147	DO j = nysg, nyng
[1353]	148	w_p(nzb_w_inner(j,i),j,i) = 0.0_wp
[1113]	149	ENDDO
	150	ENDDO
	151	!$acc end kernels
	152
	153	!
	154	!-- Top boundary
	155	IF ( ibc_uv_t == 0 ) THEN
	156	!$acc kernels present( u_init, u_p, v_init, v_p )
	157	u_p(nzt+1,:,:) = u_init(nzt+1)
	158	v_p(nzt+1,:,:) = v_init(nzt+1)
[1241]	159	IF ( large_scale_forcing) THEN
	160	u_p(nzt+1,:,:) = ug(nzt+1)
	161	v_p(nzt+1,:,:) = vg(nzt+1)
	162	END IF
[1113]	163	!$acc end kernels
	164	ELSE
	165	!$acc kernels present( u_p, v_p )
	166	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	167	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	168	!$acc end kernels
	169	ENDIF
	170	!$acc kernels present( w_p )
[1353]	171	w_p(nzt:nzt+1,:,:) = 0.0_wp ! nzt is not a prognostic level (but cf. pres)
[1113]	172	!$acc end kernels
	173
	174	!
	175	!-- Temperature at bottom boundary.
	176	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	177	!-- the sea surface temperature of the coupled ocean model.
	178	IF ( ibc_pt_b == 0 ) THEN
	179	!$acc kernels present( nzb_s_inner, pt, pt_p )
[1257]	180	!$acc loop independent
[667]	181	DO i = nxlg, nxrg
[1257]	182	!$acc loop independent
[667]	183	DO j = nysg, nyng
[1113]	184	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
[1]	185	ENDDO
	186	ENDDO
[1113]	187	!$acc end kernels
	188	ELSEIF ( ibc_pt_b == 1 ) THEN
	189	!$acc kernels present( nzb_s_inner, pt_p )
[1257]	190	!$acc loop independent
[1113]	191	DO i = nxlg, nxrg
[1257]	192	!$acc loop independent
[1113]	193	DO j = nysg, nyng
	194	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
	195	ENDDO
	196	ENDDO
	197	!$acc end kernels
	198	ENDIF
[1]	199
	200	!
[1113]	201	!-- Temperature at top boundary
	202	IF ( ibc_pt_t == 0 ) THEN
	203	!$acc kernels present( pt, pt_p )
	204	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
	205	!$acc end kernels
	206	ELSEIF ( ibc_pt_t == 1 ) THEN
	207	!$acc kernels present( pt_p )
	208	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	209	!$acc end kernels
	210	ELSEIF ( ibc_pt_t == 2 ) THEN
	211	!$acc kernels present( dzu, pt_p )
	212	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
	213	!$acc end kernels
	214	ENDIF
[1]	215
	216	!
[1113]	217	!-- Boundary conditions for TKE
	218	!-- Generally Neumann conditions with de/dz=0 are assumed
	219	IF ( .NOT. constant_diffusion ) THEN
	220	!$acc kernels present( e_p, nzb_s_inner )
[1257]	221	!$acc loop independent
[1113]	222	DO i = nxlg, nxrg
[1257]	223	!$acc loop independent
[1113]	224	DO j = nysg, nyng
	225	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
[73]	226	ENDDO
[1113]	227	ENDDO
	228	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	229	!$acc end kernels
	230	ENDIF
	231
	232	!
	233	!-- Boundary conditions for salinity
	234	IF ( ocean ) THEN
	235	!
	236	!-- Bottom boundary: Neumann condition because salinity flux is always
	237	!-- given
	238	DO i = nxlg, nxrg
	239	DO j = nysg, nyng
	240	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
[1]	241	ENDDO
[1113]	242	ENDDO
[1]	243
	244	!
[1113]	245	!-- Top boundary: Dirichlet or Neumann
	246	IF ( ibc_sa_t == 0 ) THEN
	247	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	248	ELSEIF ( ibc_sa_t == 1 ) THEN
	249	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	250	ENDIF
	251
[1113]	252	ENDIF
	253
[1]	254	!
[1113]	255	!-- Boundary conditions for total water content or scalar,
	256	!-- bottom and top boundary (see also temperature)
	257	IF ( humidity .OR. passive_scalar ) THEN
	258	!
	259	!-- Surface conditions for constant_humidity_flux
	260	IF ( ibc_q_b == 0 ) THEN
[667]	261	DO i = nxlg, nxrg
	262	DO j = nysg, nyng
[1113]	263	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
[1]	264	ENDDO
	265	ENDDO
[1113]	266	ELSE
[667]	267	DO i = nxlg, nxrg
	268	DO j = nysg, nyng
[1113]	269	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
[95]	270	ENDDO
	271	ENDDO
[1113]	272	ENDIF
[95]	273	!
[1113]	274	!-- Top boundary
	275	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[95]	276
[1361]	277	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
[1113]	278	!
[1361]	279	!-- Surface conditions rain water (Dirichlet)
[1115]	280	DO i = nxlg, nxrg
	281	DO j = nysg, nyng
[1361]	282	qr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
	283	nr_p(nzb_s_inner(j,i),j,i) = 0.0_wp
[73]	284	ENDDO
[1115]	285	ENDDO
[1]	286	!
[1361]	287	!-- Top boundary condition for rain water (Dirichlet)
	288	qr_p(nzt+1,:,:) = 0.0_wp
	289	nr_p(nzt+1,:,:) = 0.0_wp
[1115]	290
[1]	291	ENDIF
	292	!
[875]	293	!-- In case of inflow at the south boundary the boundary for v is at nys
	294	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
	295	!-- Since in prognostic_equations (cache optimized version) these levels are
	296	!-- handled as a prognostic level, boundary values have to be restored here.
[978]	297	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[1]	298	IF ( inflow_s ) THEN
[73]	299	v_p(:,nys,:) = v_p(:,nys-1,:)
[978]	300	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	301	ELSEIF ( inflow_n ) THEN
	302	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1]	303	ELSEIF ( inflow_l ) THEN
[73]	304	u_p(:,:,nxl) = u_p(:,:,nxl-1)
[978]	305	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	306	ELSEIF ( inflow_r ) THEN
	307	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1]	308	ENDIF
	309
	310	!
	311	!-- Lateral boundary conditions for scalar quantities at the outflow
	312	IF ( outflow_s ) THEN
[73]	313	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	314	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[1115]	315	IF ( humidity .OR. passive_scalar ) THEN
[1053]	316	q_p(:,nys-1,:) = q_p(:,nys,:)
[1320]	317	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
[1115]	318	precipitation) THEN
[1053]	319	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	320	nr_p(:,nys-1,:) = nr_p(:,nys,:)
	321	ENDIF
	322	ENDIF
[1]	323	ELSEIF ( outflow_n ) THEN
[73]	324	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	325	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1115]	326	IF ( humidity .OR. passive_scalar ) THEN
[1053]	327	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[1320]	328	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
[1115]	329	precipitation ) THEN
[1053]	330	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	331	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
	332	ENDIF
	333	ENDIF
[1]	334	ELSEIF ( outflow_l ) THEN
[73]	335	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	336	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[1115]	337	IF ( humidity .OR. passive_scalar ) THEN
[1053]	338	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[1320]	339	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
[1115]	340	precipitation ) THEN
[1053]	341	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	342	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
	343	ENDIF
	344	ENDIF
[1]	345	ELSEIF ( outflow_r ) THEN
[73]	346	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	347	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1053]	348	IF ( humidity .OR. passive_scalar ) THEN
	349	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[1115]	350	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
[1053]	351	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	352	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
	353	ENDIF
	354	ENDIF
[1]	355	ENDIF
	356
	357	ENDIF
	358
	359	!
[1159]	360	!-- Radiation boundary conditions for the velocities at the respective outflow.
	361	!-- The phase velocity is either assumed to the maximum phase velocity that
	362	!-- ensures numerical stability (CFL-condition) or calculated after
	363	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	364	IF ( outflow_s ) THEN
[75]	365
[1159]	366	IF ( use_cmax ) THEN
	367	u_p(:,-1,:) = u(:,0,:)
	368	v_p(:,0,:) = v(:,1,:)
	369	w_p(:,-1,:) = w(:,0,:)
	370	ELSEIF ( .NOT. use_cmax ) THEN
[75]	371
[978]	372	c_max = dy / dt_3d
[75]	373
[1353]	374	c_u_m_l = 0.0_wp
	375	c_v_m_l = 0.0_wp
	376	c_w_m_l = 0.0_wp
[978]	377
[1353]	378	c_u_m = 0.0_wp
	379	c_v_m = 0.0_wp
	380	c_w_m = 0.0_wp
[978]	381
[75]	382	!
[996]	383	!-- Calculate the phase speeds for u, v, and w, first local and then
	384	!-- average along the outflow boundary.
	385	DO k = nzb+1, nzt+1
	386	DO i = nxl, nxr
[75]	387
[106]	388	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	389
[1353]	390	IF ( denom /= 0.0_wp ) THEN
[996]	391	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	392	IF ( c_u(k,i) < 0.0_wp ) THEN
	393	c_u(k,i) = 0.0_wp
[106]	394	ELSEIF ( c_u(k,i) > c_max ) THEN
	395	c_u(k,i) = c_max
	396	ENDIF
	397	ELSE
	398	c_u(k,i) = c_max
[75]	399	ENDIF
	400
[106]	401	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	402
[1353]	403	IF ( denom /= 0.0_wp ) THEN
[996]	404	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[1353]	405	IF ( c_v(k,i) < 0.0_wp ) THEN
	406	c_v(k,i) = 0.0_wp
[106]	407	ELSEIF ( c_v(k,i) > c_max ) THEN
	408	c_v(k,i) = c_max
	409	ENDIF
	410	ELSE
	411	c_v(k,i) = c_max
[75]	412	ENDIF
	413
[106]	414	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	415
[1353]	416	IF ( denom /= 0.0_wp ) THEN
[996]	417	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[1353]	418	IF ( c_w(k,i) < 0.0_wp ) THEN
	419	c_w(k,i) = 0.0_wp
[106]	420	ELSEIF ( c_w(k,i) > c_max ) THEN
	421	c_w(k,i) = c_max
	422	ENDIF
	423	ELSE
	424	c_w(k,i) = c_max
[75]	425	ENDIF
[106]	426
[978]	427	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	428	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	429	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	430
[978]	431	ENDDO
	432	ENDDO
[75]	433
[978]	434	#if defined( __parallel )
	435	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	436	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_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_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	440	MPI_SUM, comm1dx, ierr )
	441	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	442	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	443	MPI_SUM, comm1dx, ierr )
	444	#else
	445	c_u_m = c_u_m_l
	446	c_v_m = c_v_m_l
	447	c_w_m = c_w_m_l
	448	#endif
	449
	450	c_u_m = c_u_m / (nx+1)
	451	c_v_m = c_v_m / (nx+1)
	452	c_w_m = c_w_m / (nx+1)
	453
[75]	454	!
[978]	455	!-- Save old timelevels for the next timestep
	456	IF ( intermediate_timestep_count == 1 ) THEN
	457	u_m_s(:,:,:) = u(:,0:1,:)
	458	v_m_s(:,:,:) = v(:,1:2,:)
	459	w_m_s(:,:,:) = w(:,0:1,:)
	460	ENDIF
	461
	462	!
	463	!-- Calculate the new velocities
[996]	464	DO k = nzb+1, nzt+1
	465	DO i = nxlg, nxrg
[978]	466	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	467	( u(k,-1,i) - u(k,0,i) ) * ddy
	468
[978]	469	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	470	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	471
[978]	472	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	473	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	474	ENDDO
[75]	475	ENDDO
	476
	477	!
[978]	478	!-- Bottom boundary at the outflow
	479	IF ( ibc_uv_b == 0 ) THEN
[1353]	480	u_p(nzb,-1,:) = 0.0_wp
	481	v_p(nzb,0,:) = 0.0_wp
[978]	482	ELSE
	483	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	484	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	485	ENDIF
[1353]	486	w_p(nzb,-1,:) = 0.0_wp
[73]	487
[75]	488	!
[978]	489	!-- Top boundary at the outflow
	490	IF ( ibc_uv_t == 0 ) THEN
	491	u_p(nzt+1,-1,:) = u_init(nzt+1)
	492	v_p(nzt+1,0,:) = v_init(nzt+1)
	493	ELSE
	494	u_p(nzt+1,-1,:) = u(nzt,-1,:)
	495	v_p(nzt+1,0,:) = v(nzt,0,:)
	496	ENDIF
[1353]	497	w_p(nzt:nzt+1,-1,:) = 0.0_wp
[978]	498
[75]	499	ENDIF
[73]	500
[75]	501	ENDIF
[73]	502
[106]	503	IF ( outflow_n ) THEN
[73]	504
[1159]	505	IF ( use_cmax ) THEN
	506	u_p(:,ny+1,:) = u(:,ny,:)
	507	v_p(:,ny+1,:) = v(:,ny,:)
	508	w_p(:,ny+1,:) = w(:,ny,:)
	509	ELSEIF ( .NOT. use_cmax ) THEN
[75]	510
[978]	511	c_max = dy / dt_3d
[75]	512
[1353]	513	c_u_m_l = 0.0_wp
	514	c_v_m_l = 0.0_wp
	515	c_w_m_l = 0.0_wp
[978]	516
[1353]	517	c_u_m = 0.0_wp
	518	c_v_m = 0.0_wp
	519	c_w_m = 0.0_wp
[978]	520
[1]	521	!
[996]	522	!-- Calculate the phase speeds for u, v, and w, first local and then
	523	!-- average along the outflow boundary.
	524	DO k = nzb+1, nzt+1
	525	DO i = nxl, nxr
[73]	526
[106]	527	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	528
[1353]	529	IF ( denom /= 0.0_wp ) THEN
[996]	530	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	531	IF ( c_u(k,i) < 0.0_wp ) THEN
	532	c_u(k,i) = 0.0_wp
[106]	533	ELSEIF ( c_u(k,i) > c_max ) THEN
	534	c_u(k,i) = c_max
	535	ENDIF
	536	ELSE
	537	c_u(k,i) = c_max
[73]	538	ENDIF
	539
[106]	540	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	541
[1353]	542	IF ( denom /= 0.0_wp ) THEN
[996]	543	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	544	IF ( c_v(k,i) < 0.0_wp ) THEN
	545	c_v(k,i) = 0.0_wp
[106]	546	ELSEIF ( c_v(k,i) > c_max ) THEN
	547	c_v(k,i) = c_max
	548	ENDIF
	549	ELSE
	550	c_v(k,i) = c_max
[73]	551	ENDIF
	552
[106]	553	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	554
[1353]	555	IF ( denom /= 0.0_wp ) THEN
[996]	556	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[1353]	557	IF ( c_w(k,i) < 0.0_wp ) THEN
	558	c_w(k,i) = 0.0_wp
[106]	559	ELSEIF ( c_w(k,i) > c_max ) THEN
	560	c_w(k,i) = c_max
	561	ENDIF
	562	ELSE
	563	c_w(k,i) = c_max
[73]	564	ENDIF
[106]	565
[978]	566	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	567	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	568	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	569
[978]	570	ENDDO
	571	ENDDO
[73]	572
[978]	573	#if defined( __parallel )
	574	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	575	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_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_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	579	MPI_SUM, comm1dx, ierr )
	580	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	581	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	582	MPI_SUM, comm1dx, ierr )
	583	#else
	584	c_u_m = c_u_m_l
	585	c_v_m = c_v_m_l
	586	c_w_m = c_w_m_l
	587	#endif
	588
	589	c_u_m = c_u_m / (nx+1)
	590	c_v_m = c_v_m / (nx+1)
	591	c_w_m = c_w_m / (nx+1)
	592
[73]	593	!
[978]	594	!-- Save old timelevels for the next timestep
	595	IF ( intermediate_timestep_count == 1 ) THEN
	596	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	597	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	598	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	599	ENDIF
[73]	600
[978]	601	!
	602	!-- Calculate the new velocities
[996]	603	DO k = nzb+1, nzt+1
	604	DO i = nxlg, nxrg
[978]	605	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	606	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	607
[978]	608	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	609	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	610
[978]	611	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	612	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	613	ENDDO
[1]	614	ENDDO
	615
	616	!
[978]	617	!-- Bottom boundary at the outflow
	618	IF ( ibc_uv_b == 0 ) THEN
[1353]	619	u_p(nzb,ny+1,:) = 0.0_wp
	620	v_p(nzb,ny+1,:) = 0.0_wp
[978]	621	ELSE
	622	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	623	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	624	ENDIF
[1353]	625	w_p(nzb,ny+1,:) = 0.0_wp
[73]	626
	627	!
[978]	628	!-- Top boundary at the outflow
	629	IF ( ibc_uv_t == 0 ) THEN
	630	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	631	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	632	ELSE
	633	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	634	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	635	ENDIF
[1353]	636	w_p(nzt:nzt+1,ny+1,:) = 0.0_wp
[978]	637
[1]	638	ENDIF
	639
[75]	640	ENDIF
	641
[106]	642	IF ( outflow_l ) THEN
[75]	643
[1159]	644	IF ( use_cmax ) THEN
	645	u_p(:,:,-1) = u(:,:,0)
	646	v_p(:,:,0) = v(:,:,1)
	647	w_p(:,:,-1) = w(:,:,0)
	648	ELSEIF ( .NOT. use_cmax ) THEN
[75]	649
[978]	650	c_max = dx / dt_3d
[75]	651
[1353]	652	c_u_m_l = 0.0_wp
	653	c_v_m_l = 0.0_wp
	654	c_w_m_l = 0.0_wp
[978]	655
[1353]	656	c_u_m = 0.0_wp
	657	c_v_m = 0.0_wp
	658	c_w_m = 0.0_wp
[978]	659
[1]	660	!
[996]	661	!-- Calculate the phase speeds for u, v, and w, first local and then
	662	!-- average along the outflow boundary.
	663	DO k = nzb+1, nzt+1
	664	DO j = nys, nyn
[75]	665
[106]	666	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	667
[1353]	668	IF ( denom /= 0.0_wp ) THEN
[996]	669	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[1353]	670	IF ( c_u(k,j) < 0.0_wp ) THEN
	671	c_u(k,j) = 0.0_wp
[107]	672	ELSEIF ( c_u(k,j) > c_max ) THEN
	673	c_u(k,j) = c_max
[106]	674	ENDIF
	675	ELSE
[107]	676	c_u(k,j) = c_max
[75]	677	ENDIF
	678
[106]	679	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	680
[1353]	681	IF ( denom /= 0.0_wp ) THEN
[996]	682	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	683	IF ( c_v(k,j) < 0.0_wp ) THEN
	684	c_v(k,j) = 0.0_wp
[106]	685	ELSEIF ( c_v(k,j) > c_max ) THEN
	686	c_v(k,j) = c_max
	687	ENDIF
	688	ELSE
	689	c_v(k,j) = c_max
[75]	690	ENDIF
	691
[106]	692	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	693
[1353]	694	IF ( denom /= 0.0_wp ) THEN
[996]	695	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[1353]	696	IF ( c_w(k,j) < 0.0_wp ) THEN
	697	c_w(k,j) = 0.0_wp
[106]	698	ELSEIF ( c_w(k,j) > c_max ) THEN
	699	c_w(k,j) = c_max
	700	ENDIF
	701	ELSE
	702	c_w(k,j) = c_max
[75]	703	ENDIF
[106]	704
[978]	705	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	706	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	707	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	708
[978]	709	ENDDO
	710	ENDDO
[75]	711
[978]	712	#if defined( __parallel )
	713	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	714	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_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_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	718	MPI_SUM, comm1dy, ierr )
	719	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	720	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	721	MPI_SUM, comm1dy, ierr )
	722	#else
	723	c_u_m = c_u_m_l
	724	c_v_m = c_v_m_l
	725	c_w_m = c_w_m_l
	726	#endif
	727
	728	c_u_m = c_u_m / (ny+1)
	729	c_v_m = c_v_m / (ny+1)
	730	c_w_m = c_w_m / (ny+1)
	731
[73]	732	!
[978]	733	!-- Save old timelevels for the next timestep
	734	IF ( intermediate_timestep_count == 1 ) THEN
	735	u_m_l(:,:,:) = u(:,:,1:2)
	736	v_m_l(:,:,:) = v(:,:,0:1)
	737	w_m_l(:,:,:) = w(:,:,0:1)
	738	ENDIF
	739
	740	!
	741	!-- Calculate the new velocities
[996]	742	DO k = nzb+1, nzt+1
[1113]	743	DO j = nysg, nyng
[978]	744	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	745	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	746
[978]	747	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	748	( v(k,j,-1) - v(k,j,0) ) * ddx
	749
[978]	750	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	751	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	752	ENDDO
[75]	753	ENDDO
	754
	755	!
[978]	756	!-- Bottom boundary at the outflow
	757	IF ( ibc_uv_b == 0 ) THEN
[1353]	758	u_p(nzb,:,0) = 0.0_wp
	759	v_p(nzb,:,-1) = 0.0_wp
[978]	760	ELSE
	761	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	762	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	763	ENDIF
[1353]	764	w_p(nzb,:,-1) = 0.0_wp
[1]	765
[75]	766	!
[978]	767	!-- Top boundary at the outflow
	768	IF ( ibc_uv_t == 0 ) THEN
	769	u_p(nzt+1,:,-1) = u_init(nzt+1)
	770	v_p(nzt+1,:,-1) = v_init(nzt+1)
	771	ELSE
	772	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
	773	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	774	ENDIF
[1353]	775	w_p(nzt:nzt+1,:,-1) = 0.0_wp
[978]	776
[75]	777	ENDIF
[73]	778
[75]	779	ENDIF
[73]	780
[106]	781	IF ( outflow_r ) THEN
[73]	782
[1159]	783	IF ( use_cmax ) THEN
	784	u_p(:,:,nx+1) = u(:,:,nx)
	785	v_p(:,:,nx+1) = v(:,:,nx)
	786	w_p(:,:,nx+1) = w(:,:,nx)
	787	ELSEIF ( .NOT. use_cmax ) THEN
[75]	788
[978]	789	c_max = dx / dt_3d
[75]	790
[1353]	791	c_u_m_l = 0.0_wp
	792	c_v_m_l = 0.0_wp
	793	c_w_m_l = 0.0_wp
[978]	794
[1353]	795	c_u_m = 0.0_wp
	796	c_v_m = 0.0_wp
	797	c_w_m = 0.0_wp
[978]	798
[1]	799	!
[996]	800	!-- Calculate the phase speeds for u, v, and w, first local and then
	801	!-- average along the outflow boundary.
	802	DO k = nzb+1, nzt+1
	803	DO j = nys, nyn
[73]	804
[106]	805	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	806
[1353]	807	IF ( denom /= 0.0_wp ) THEN
[996]	808	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	809	IF ( c_u(k,j) < 0.0_wp ) THEN
	810	c_u(k,j) = 0.0_wp
[106]	811	ELSEIF ( c_u(k,j) > c_max ) THEN
	812	c_u(k,j) = c_max
	813	ENDIF
	814	ELSE
	815	c_u(k,j) = c_max
[73]	816	ENDIF
	817
[106]	818	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	819
[1353]	820	IF ( denom /= 0.0_wp ) THEN
[996]	821	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	822	IF ( c_v(k,j) < 0.0_wp ) THEN
	823	c_v(k,j) = 0.0_wp
[106]	824	ELSEIF ( c_v(k,j) > c_max ) THEN
	825	c_v(k,j) = c_max
	826	ENDIF
	827	ELSE
	828	c_v(k,j) = c_max
[73]	829	ENDIF
	830
[106]	831	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	832
[1353]	833	IF ( denom /= 0.0_wp ) THEN
[996]	834	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[1353]	835	IF ( c_w(k,j) < 0.0_wp ) THEN
	836	c_w(k,j) = 0.0_wp
[106]	837	ELSEIF ( c_w(k,j) > c_max ) THEN
	838	c_w(k,j) = c_max
	839	ENDIF
	840	ELSE
	841	c_w(k,j) = c_max
[73]	842	ENDIF
[106]	843
[978]	844	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	845	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	846	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	847
[978]	848	ENDDO
	849	ENDDO
[73]	850
[978]	851	#if defined( __parallel )
	852	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	853	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_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_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	857	MPI_SUM, comm1dy, ierr )
	858	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	859	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	860	MPI_SUM, comm1dy, ierr )
	861	#else
	862	c_u_m = c_u_m_l
	863	c_v_m = c_v_m_l
	864	c_w_m = c_w_m_l
	865	#endif
	866
	867	c_u_m = c_u_m / (ny+1)
	868	c_v_m = c_v_m / (ny+1)
	869	c_w_m = c_w_m / (ny+1)
	870
[73]	871	!
[978]	872	!-- Save old timelevels for the next timestep
	873	IF ( intermediate_timestep_count == 1 ) THEN
	874	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	875	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	876	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	877	ENDIF
[73]	878
[978]	879	!
	880	!-- Calculate the new velocities
[996]	881	DO k = nzb+1, nzt+1
[1113]	882	DO j = nysg, nyng
[978]	883	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	884	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	885
[978]	886	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	887	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	888
[978]	889	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	890	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	891	ENDDO
[73]	892	ENDDO
	893
	894	!
[978]	895	!-- Bottom boundary at the outflow
	896	IF ( ibc_uv_b == 0 ) THEN
[1353]	897	u_p(nzb,:,nx+1) = 0.0_wp
	898	v_p(nzb,:,nx+1) = 0.0_wp
[978]	899	ELSE
	900	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	901	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	902	ENDIF
[1353]	903	w_p(nzb,:,nx+1) = 0.0_wp
[73]	904
	905	!
[978]	906	!-- Top boundary at the outflow
	907	IF ( ibc_uv_t == 0 ) THEN
	908	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	909	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	910	ELSE
	911	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	912	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	913	ENDIF
[1353]	914	w(nzt:nzt+1,:,nx+1) = 0.0_wp
[978]	915
[1]	916	ENDIF
	917
	918	ENDIF
	919
	920	END SUBROUTINE boundary_conds

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