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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1249

Last change on this file since 1249 was 1242, checked in by heinze, 11 years ago
Last commmit documented
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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	! -----------------
[1242]	22	!
[1160]	23	!
	24	! Former revisions:
	25	! -----------------
	26	! $Id: boundary_conds.f90 1242 2013-10-30 11:50:11Z heinze $
	27	!
[1242]	28	! 1241 2013-10-30 11:36:58Z heinze
	29	! Adjust ug and vg at each timestep in case of large_scale_forcing
	30	!
[1160]	31	! 1159 2013-05-21 11:58:22Z fricke
[1159]	32	! Bugfix: Neumann boundary conditions for the velocity components at the
	33	! outflow are in fact radiation boundary conditions using the maximum phase
	34	! velocity that ensures numerical stability (CFL-condition).
	35	! Hence, logical operator use_cmax is now used instead of bc_lr_dirneu/_neudir.
	36	! Bugfix: In case of use_cmax at the outflow, u, v, w are replaced by
	37	! u_p, v_p, w_p
[1116]	38	!
	39	! 1115 2013-03-26 18:16:16Z hoffmann
	40	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	41	! boundary-conditions
	42	!
[1114]	43	! 1113 2013-03-10 02:48:14Z raasch
	44	! GPU-porting
	45	! dummy argument "range" removed
	46	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	47	!
[1054]	48	! 1053 2012-11-13 17:11:03Z hoffmann
	49	! boundary conditions for the two new prognostic equations (nr, qr) of the
	50	! two-moment cloud scheme
	51	!
[1037]	52	! 1036 2012-10-22 13:43:42Z raasch
	53	! code put under GPL (PALM 3.9)
	54	!
[997]	55	! 996 2012-09-07 10:41:47Z raasch
	56	! little reformatting
	57	!
[979]	58	! 978 2012-08-09 08:28:32Z fricke
	59	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	60	! Outflow boundary conditions for the velocity components can be set to Neumann
	61	! conditions or to radiation conditions with a horizontal averaged phase
	62	! velocity.
	63	!
[876]	64	! 875 2012-04-02 15:35:15Z gryschka
	65	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	66	!
[768]	67	! 767 2011-10-14 06:39:12Z raasch
	68	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
	69	!
[668]	70	! 667 2010-12-23 12:06:00Z suehring/gryschka
	71	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
	72	! Removed mirror boundary conditions for u and v at the bottom in case of
	73	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
	74	! in init_3d_model
	75	!
[110]	76	! 107 2007-08-17 13:54:45Z raasch
	77	! Boundary conditions for temperature adjusted for coupled runs,
	78	! bugfixes for the radiation boundary conditions at the outflow: radiation
	79	! conditions are used for every substep, phase speeds are calculated for the
	80	! first Runge-Kutta substep only and then reused, several index values changed
	81	!
[98]	82	! 95 2007-06-02 16:48:38Z raasch
	83	! Boundary conditions for salinity added
	84	!
[77]	85	! 75 2007-03-22 09:54:05Z raasch
	86	! The "main" part sets conditions for time level t+dt instead of level t,
	87	! outflow boundary conditions changed from Neumann to radiation condition,
	88	! uxrp, vynp eliminated, moisture renamed humidity
	89	!
[39]	90	! 19 2007-02-23 04:53:48Z raasch
	91	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
	92	! gridpoints are now calculated by the prognostic equation,
	93	! Dirichlet and zero gradient condition for pt established at top boundary
	94	!
[3]	95	! RCS Log replace by Id keyword, revision history cleaned up
	96	!
[1]	97	! Revision 1.15 2006/02/23 09:54:55 raasch
	98	! Surface boundary conditions in case of topography: nzb replaced by
	99	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
	100	! unchanged (still using nzb) because a non-flat topography must use a
	101	! Prandtl-layer, which don't requires explicit setting of the surface values.
	102	!
	103	! Revision 1.1 1997/09/12 06:21:34 raasch
	104	! Initial revision
	105	!
	106	!
	107	! Description:
	108	! ------------
[1159]	109	! Boundary conditions for the prognostic quantities.
[1]	110	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
	111	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	112	! handled in routine exchange_horiz. Pressure boundary conditions are
	113	! explicitly set in routines pres, poisfft, poismg and sor.
	114	!------------------------------------------------------------------------------!
	115
	116	USE arrays_3d
	117	USE control_parameters
	118	USE grid_variables
	119	USE indices
	120	USE pegrid
	121
	122	IMPLICIT NONE
	123
	124	INTEGER :: i, j, k
	125
[106]	126	REAL :: c_max, denom
[1]	127
[73]	128
[1]	129	!
[1113]	130	!-- Bottom boundary
	131	IF ( ibc_uv_b == 1 ) THEN
	132	!$acc kernels present( u_p, v_p )
	133	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	134	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	135	!$acc end kernels
	136	ENDIF
	137
	138	!$acc kernels present( nzb_w_inner, w_p )
	139	DO i = nxlg, nxrg
	140	DO j = nysg, nyng
	141	w_p(nzb_w_inner(j,i),j,i) = 0.0
	142	ENDDO
	143	ENDDO
	144	!$acc end kernels
	145
	146	!
	147	!-- Top boundary
	148	IF ( ibc_uv_t == 0 ) THEN
	149	!$acc kernels present( u_init, u_p, v_init, v_p )
	150	u_p(nzt+1,:,:) = u_init(nzt+1)
	151	v_p(nzt+1,:,:) = v_init(nzt+1)
[1241]	152	IF ( large_scale_forcing) THEN
	153	u_p(nzt+1,:,:) = ug(nzt+1)
	154	v_p(nzt+1,:,:) = vg(nzt+1)
	155	END IF
[1113]	156	!$acc end kernels
	157	ELSE
	158	!$acc kernels present( u_p, v_p )
	159	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	160	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	161	!$acc end kernels
	162	ENDIF
	163	!$acc kernels present( w_p )
	164	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
	165	!$acc end kernels
	166
	167	!
	168	!-- Temperature at bottom boundary.
	169	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	170	!-- the sea surface temperature of the coupled ocean model.
	171	IF ( ibc_pt_b == 0 ) THEN
	172	!$acc kernels present( nzb_s_inner, pt, pt_p )
[667]	173	DO i = nxlg, nxrg
	174	DO j = nysg, nyng
[1113]	175	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
[1]	176	ENDDO
	177	ENDDO
[1113]	178	!$acc end kernels
	179	ELSEIF ( ibc_pt_b == 1 ) THEN
	180	!$acc kernels present( nzb_s_inner, pt_p )
	181	DO i = nxlg, nxrg
	182	DO j = nysg, nyng
	183	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
	184	ENDDO
	185	ENDDO
	186	!$acc end kernels
	187	ENDIF
[1]	188
	189	!
[1113]	190	!-- Temperature at top boundary
	191	IF ( ibc_pt_t == 0 ) THEN
	192	!$acc kernels present( pt, pt_p )
	193	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
	194	!$acc end kernels
	195	ELSEIF ( ibc_pt_t == 1 ) THEN
	196	!$acc kernels present( pt_p )
	197	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	198	!$acc end kernels
	199	ELSEIF ( ibc_pt_t == 2 ) THEN
	200	!$acc kernels present( dzu, pt_p )
	201	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
	202	!$acc end kernels
	203	ENDIF
[1]	204
	205	!
[1113]	206	!-- Boundary conditions for TKE
	207	!-- Generally Neumann conditions with de/dz=0 are assumed
	208	IF ( .NOT. constant_diffusion ) THEN
	209	!$acc kernels present( e_p, nzb_s_inner )
	210	DO i = nxlg, nxrg
	211	DO j = nysg, nyng
	212	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
[73]	213	ENDDO
[1113]	214	ENDDO
	215	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	216	!$acc end kernels
	217	ENDIF
	218
	219	!
	220	!-- Boundary conditions for salinity
	221	IF ( ocean ) THEN
	222	!
	223	!-- Bottom boundary: Neumann condition because salinity flux is always
	224	!-- given
	225	DO i = nxlg, nxrg
	226	DO j = nysg, nyng
	227	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
[1]	228	ENDDO
[1113]	229	ENDDO
[1]	230
	231	!
[1113]	232	!-- Top boundary: Dirichlet or Neumann
	233	IF ( ibc_sa_t == 0 ) THEN
	234	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	235	ELSEIF ( ibc_sa_t == 1 ) THEN
	236	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	237	ENDIF
	238
[1113]	239	ENDIF
	240
[1]	241	!
[1113]	242	!-- Boundary conditions for total water content or scalar,
	243	!-- bottom and top boundary (see also temperature)
	244	IF ( humidity .OR. passive_scalar ) THEN
	245	!
	246	!-- Surface conditions for constant_humidity_flux
	247	IF ( ibc_q_b == 0 ) THEN
[667]	248	DO i = nxlg, nxrg
	249	DO j = nysg, nyng
[1113]	250	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
[1]	251	ENDDO
	252	ENDDO
[1113]	253	ELSE
[667]	254	DO i = nxlg, nxrg
	255	DO j = nysg, nyng
[1113]	256	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
[95]	257	ENDDO
	258	ENDDO
[1113]	259	ENDIF
[95]	260	!
[1113]	261	!-- Top boundary
	262	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[95]	263
[1115]	264	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	265	precipitation ) THEN
[1113]	266	!
[1115]	267	!-- Surface conditions rain water (Neumann)
	268	DO i = nxlg, nxrg
	269	DO j = nysg, nyng
	270	qr_p(nzb_s_inner(j,i),j,i) = qr_p(nzb_s_inner(j,i)+1,j,i)
	271	nr_p(nzb_s_inner(j,i),j,i) = nr_p(nzb_s_inner(j,i)+1,j,i)
[73]	272	ENDDO
[1115]	273	ENDDO
[1]	274	!
[1115]	275	!-- Top boundary condition for rain water (Neumann)
	276	qr_p(nzt+1,:,:) = qr_p(nzt,:,:)
	277	nr_p(nzt+1,:,:) = nr_p(nzt,:,:)
	278
[1]	279	ENDIF
	280	!
[875]	281	!-- In case of inflow at the south boundary the boundary for v is at nys
	282	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
	283	!-- Since in prognostic_equations (cache optimized version) these levels are
	284	!-- handled as a prognostic level, boundary values have to be restored here.
[978]	285	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[1]	286	IF ( inflow_s ) THEN
[73]	287	v_p(:,nys,:) = v_p(:,nys-1,:)
[978]	288	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	289	ELSEIF ( inflow_n ) THEN
	290	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1]	291	ELSEIF ( inflow_l ) THEN
[73]	292	u_p(:,:,nxl) = u_p(:,:,nxl-1)
[978]	293	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	294	ELSEIF ( inflow_r ) THEN
	295	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1]	296	ENDIF
	297
	298	!
	299	!-- Lateral boundary conditions for scalar quantities at the outflow
	300	IF ( outflow_s ) THEN
[73]	301	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	302	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[1115]	303	IF ( humidity .OR. passive_scalar ) THEN
[1053]	304	q_p(:,nys-1,:) = q_p(:,nys,:)
[1115]	305	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	306	precipitation) THEN
[1053]	307	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	308	nr_p(:,nys-1,:) = nr_p(:,nys,:)
	309	ENDIF
	310	ENDIF
[1]	311	ELSEIF ( outflow_n ) THEN
[73]	312	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	313	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1115]	314	IF ( humidity .OR. passive_scalar ) THEN
[1053]	315	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[1115]	316	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	317	precipitation ) THEN
[1053]	318	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	319	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
	320	ENDIF
	321	ENDIF
[1]	322	ELSEIF ( outflow_l ) THEN
[73]	323	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	324	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[1115]	325	IF ( humidity .OR. passive_scalar ) THEN
[1053]	326	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[1115]	327	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	328	precipitation ) THEN
[1053]	329	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	330	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
	331	ENDIF
	332	ENDIF
[1]	333	ELSEIF ( outflow_r ) THEN
[73]	334	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	335	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1053]	336	IF ( humidity .OR. passive_scalar ) THEN
	337	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[1115]	338	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
[1053]	339	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	340	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
	341	ENDIF
	342	ENDIF
[1]	343	ENDIF
	344
	345	ENDIF
	346
	347	!
[1159]	348	!-- Radiation boundary conditions for the velocities at the respective outflow.
	349	!-- The phase velocity is either assumed to the maximum phase velocity that
	350	!-- ensures numerical stability (CFL-condition) or calculated after
	351	!-- Orlanski(1976) and averaged along the outflow boundary.
[106]	352	IF ( outflow_s ) THEN
[75]	353
[1159]	354	IF ( use_cmax ) THEN
	355	u_p(:,-1,:) = u(:,0,:)
	356	v_p(:,0,:) = v(:,1,:)
	357	w_p(:,-1,:) = w(:,0,:)
	358	ELSEIF ( .NOT. use_cmax ) THEN
[75]	359
[978]	360	c_max = dy / dt_3d
[75]	361
[978]	362	c_u_m_l = 0.0
	363	c_v_m_l = 0.0
	364	c_w_m_l = 0.0
	365
	366	c_u_m = 0.0
	367	c_v_m = 0.0
	368	c_w_m = 0.0
	369
[75]	370	!
[996]	371	!-- Calculate the phase speeds for u, v, and w, first local and then
	372	!-- average along the outflow boundary.
	373	DO k = nzb+1, nzt+1
	374	DO i = nxl, nxr
[75]	375
[106]	376	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	377
	378	IF ( denom /= 0.0 ) THEN
[996]	379	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[106]	380	IF ( c_u(k,i) < 0.0 ) THEN
	381	c_u(k,i) = 0.0
	382	ELSEIF ( c_u(k,i) > c_max ) THEN
	383	c_u(k,i) = c_max
	384	ENDIF
	385	ELSE
	386	c_u(k,i) = c_max
[75]	387	ENDIF
	388
[106]	389	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	390
	391	IF ( denom /= 0.0 ) THEN
[996]	392	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[106]	393	IF ( c_v(k,i) < 0.0 ) THEN
	394	c_v(k,i) = 0.0
	395	ELSEIF ( c_v(k,i) > c_max ) THEN
	396	c_v(k,i) = c_max
	397	ENDIF
	398	ELSE
	399	c_v(k,i) = c_max
[75]	400	ENDIF
	401
[106]	402	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	403
[106]	404	IF ( denom /= 0.0 ) THEN
[996]	405	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[106]	406	IF ( c_w(k,i) < 0.0 ) THEN
	407	c_w(k,i) = 0.0
	408	ELSEIF ( c_w(k,i) > c_max ) THEN
	409	c_w(k,i) = c_max
	410	ENDIF
	411	ELSE
	412	c_w(k,i) = c_max
[75]	413	ENDIF
[106]	414
[978]	415	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	416	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	417	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	418
[978]	419	ENDDO
	420	ENDDO
[75]	421
[978]	422	#if defined( __parallel )
	423	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	424	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	425	MPI_SUM, comm1dx, ierr )
	426	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	427	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	428	MPI_SUM, comm1dx, ierr )
	429	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	430	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	431	MPI_SUM, comm1dx, ierr )
	432	#else
	433	c_u_m = c_u_m_l
	434	c_v_m = c_v_m_l
	435	c_w_m = c_w_m_l
	436	#endif
	437
	438	c_u_m = c_u_m / (nx+1)
	439	c_v_m = c_v_m / (nx+1)
	440	c_w_m = c_w_m / (nx+1)
	441
[75]	442	!
[978]	443	!-- Save old timelevels for the next timestep
	444	IF ( intermediate_timestep_count == 1 ) THEN
	445	u_m_s(:,:,:) = u(:,0:1,:)
	446	v_m_s(:,:,:) = v(:,1:2,:)
	447	w_m_s(:,:,:) = w(:,0:1,:)
	448	ENDIF
	449
	450	!
	451	!-- Calculate the new velocities
[996]	452	DO k = nzb+1, nzt+1
	453	DO i = nxlg, nxrg
[978]	454	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	455	( u(k,-1,i) - u(k,0,i) ) * ddy
	456
[978]	457	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	458	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	459
[978]	460	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	461	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	462	ENDDO
[75]	463	ENDDO
	464
	465	!
[978]	466	!-- Bottom boundary at the outflow
	467	IF ( ibc_uv_b == 0 ) THEN
	468	u_p(nzb,-1,:) = 0.0
	469	v_p(nzb,0,:) = 0.0
	470	ELSE
	471	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	472	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	473	ENDIF
	474	w_p(nzb,-1,:) = 0.0
[73]	475
[75]	476	!
[978]	477	!-- Top boundary at the outflow
	478	IF ( ibc_uv_t == 0 ) THEN
	479	u_p(nzt+1,-1,:) = u_init(nzt+1)
	480	v_p(nzt+1,0,:) = v_init(nzt+1)
	481	ELSE
	482	u_p(nzt+1,-1,:) = u(nzt,-1,:)
	483	v_p(nzt+1,0,:) = v(nzt,0,:)
	484	ENDIF
	485	w_p(nzt:nzt+1,-1,:) = 0.0
	486
[75]	487	ENDIF
[73]	488
[75]	489	ENDIF
[73]	490
[106]	491	IF ( outflow_n ) THEN
[73]	492
[1159]	493	IF ( use_cmax ) THEN
	494	u_p(:,ny+1,:) = u(:,ny,:)
	495	v_p(:,ny+1,:) = v(:,ny,:)
	496	w_p(:,ny+1,:) = w(:,ny,:)
	497	ELSEIF ( .NOT. use_cmax ) THEN
[75]	498
[978]	499	c_max = dy / dt_3d
[75]	500
[978]	501	c_u_m_l = 0.0
	502	c_v_m_l = 0.0
	503	c_w_m_l = 0.0
	504
	505	c_u_m = 0.0
	506	c_v_m = 0.0
	507	c_w_m = 0.0
	508
[1]	509	!
[996]	510	!-- Calculate the phase speeds for u, v, and w, first local and then
	511	!-- average along the outflow boundary.
	512	DO k = nzb+1, nzt+1
	513	DO i = nxl, nxr
[73]	514
[106]	515	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	516
	517	IF ( denom /= 0.0 ) THEN
[996]	518	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[106]	519	IF ( c_u(k,i) < 0.0 ) THEN
	520	c_u(k,i) = 0.0
	521	ELSEIF ( c_u(k,i) > c_max ) THEN
	522	c_u(k,i) = c_max
	523	ENDIF
	524	ELSE
	525	c_u(k,i) = c_max
[73]	526	ENDIF
	527
[106]	528	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	529
[106]	530	IF ( denom /= 0.0 ) THEN
[996]	531	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[106]	532	IF ( c_v(k,i) < 0.0 ) THEN
	533	c_v(k,i) = 0.0
	534	ELSEIF ( c_v(k,i) > c_max ) THEN
	535	c_v(k,i) = c_max
	536	ENDIF
	537	ELSE
	538	c_v(k,i) = c_max
[73]	539	ENDIF
	540
[106]	541	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	542
[106]	543	IF ( denom /= 0.0 ) THEN
[996]	544	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[106]	545	IF ( c_w(k,i) < 0.0 ) THEN
	546	c_w(k,i) = 0.0
	547	ELSEIF ( c_w(k,i) > c_max ) THEN
	548	c_w(k,i) = c_max
	549	ENDIF
	550	ELSE
	551	c_w(k,i) = c_max
[73]	552	ENDIF
[106]	553
[978]	554	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	555	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	556	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	557
[978]	558	ENDDO
	559	ENDDO
[73]	560
[978]	561	#if defined( __parallel )
	562	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	563	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	564	MPI_SUM, comm1dx, ierr )
	565	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	566	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	567	MPI_SUM, comm1dx, ierr )
	568	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	569	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	570	MPI_SUM, comm1dx, ierr )
	571	#else
	572	c_u_m = c_u_m_l
	573	c_v_m = c_v_m_l
	574	c_w_m = c_w_m_l
	575	#endif
	576
	577	c_u_m = c_u_m / (nx+1)
	578	c_v_m = c_v_m / (nx+1)
	579	c_w_m = c_w_m / (nx+1)
	580
[73]	581	!
[978]	582	!-- Save old timelevels for the next timestep
	583	IF ( intermediate_timestep_count == 1 ) THEN
	584	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	585	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	586	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	587	ENDIF
[73]	588
[978]	589	!
	590	!-- Calculate the new velocities
[996]	591	DO k = nzb+1, nzt+1
	592	DO i = nxlg, nxrg
[978]	593	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	594	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	595
[978]	596	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	597	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	598
[978]	599	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	600	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	601	ENDDO
[1]	602	ENDDO
	603
	604	!
[978]	605	!-- Bottom boundary at the outflow
	606	IF ( ibc_uv_b == 0 ) THEN
	607	u_p(nzb,ny+1,:) = 0.0
	608	v_p(nzb,ny+1,:) = 0.0
	609	ELSE
	610	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	611	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	612	ENDIF
	613	w_p(nzb,ny+1,:) = 0.0
[73]	614
	615	!
[978]	616	!-- Top boundary at the outflow
	617	IF ( ibc_uv_t == 0 ) THEN
	618	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	619	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	620	ELSE
	621	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	622	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	623	ENDIF
	624	w_p(nzt:nzt+1,ny+1,:) = 0.0
	625
[1]	626	ENDIF
	627
[75]	628	ENDIF
	629
[106]	630	IF ( outflow_l ) THEN
[75]	631
[1159]	632	IF ( use_cmax ) THEN
	633	u_p(:,:,-1) = u(:,:,0)
	634	v_p(:,:,0) = v(:,:,1)
	635	w_p(:,:,-1) = w(:,:,0)
	636	ELSEIF ( .NOT. use_cmax ) THEN
[75]	637
[978]	638	c_max = dx / dt_3d
[75]	639
[978]	640	c_u_m_l = 0.0
	641	c_v_m_l = 0.0
	642	c_w_m_l = 0.0
	643
	644	c_u_m = 0.0
	645	c_v_m = 0.0
	646	c_w_m = 0.0
	647
[1]	648	!
[996]	649	!-- Calculate the phase speeds for u, v, and w, first local and then
	650	!-- average along the outflow boundary.
	651	DO k = nzb+1, nzt+1
	652	DO j = nys, nyn
[75]	653
[106]	654	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	655
	656	IF ( denom /= 0.0 ) THEN
[996]	657	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[107]	658	IF ( c_u(k,j) < 0.0 ) THEN
[106]	659	c_u(k,j) = 0.0
[107]	660	ELSEIF ( c_u(k,j) > c_max ) THEN
	661	c_u(k,j) = c_max
[106]	662	ENDIF
	663	ELSE
[107]	664	c_u(k,j) = c_max
[75]	665	ENDIF
	666
[106]	667	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	668
[106]	669	IF ( denom /= 0.0 ) THEN
[996]	670	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[106]	671	IF ( c_v(k,j) < 0.0 ) THEN
	672	c_v(k,j) = 0.0
	673	ELSEIF ( c_v(k,j) > c_max ) THEN
	674	c_v(k,j) = c_max
	675	ENDIF
	676	ELSE
	677	c_v(k,j) = c_max
[75]	678	ENDIF
	679
[106]	680	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	681
[106]	682	IF ( denom /= 0.0 ) THEN
[996]	683	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[106]	684	IF ( c_w(k,j) < 0.0 ) THEN
	685	c_w(k,j) = 0.0
	686	ELSEIF ( c_w(k,j) > c_max ) THEN
	687	c_w(k,j) = c_max
	688	ENDIF
	689	ELSE
	690	c_w(k,j) = c_max
[75]	691	ENDIF
[106]	692
[978]	693	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	694	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	695	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	696
[978]	697	ENDDO
	698	ENDDO
[75]	699
[978]	700	#if defined( __parallel )
	701	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	702	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	703	MPI_SUM, comm1dy, ierr )
	704	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	705	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	706	MPI_SUM, comm1dy, ierr )
	707	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	708	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	709	MPI_SUM, comm1dy, ierr )
	710	#else
	711	c_u_m = c_u_m_l
	712	c_v_m = c_v_m_l
	713	c_w_m = c_w_m_l
	714	#endif
	715
	716	c_u_m = c_u_m / (ny+1)
	717	c_v_m = c_v_m / (ny+1)
	718	c_w_m = c_w_m / (ny+1)
	719
[73]	720	!
[978]	721	!-- Save old timelevels for the next timestep
	722	IF ( intermediate_timestep_count == 1 ) THEN
	723	u_m_l(:,:,:) = u(:,:,1:2)
	724	v_m_l(:,:,:) = v(:,:,0:1)
	725	w_m_l(:,:,:) = w(:,:,0:1)
	726	ENDIF
	727
	728	!
	729	!-- Calculate the new velocities
[996]	730	DO k = nzb+1, nzt+1
[1113]	731	DO j = nysg, nyng
[978]	732	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	733	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	734
[978]	735	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	736	( v(k,j,-1) - v(k,j,0) ) * ddx
	737
[978]	738	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	739	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	740	ENDDO
[75]	741	ENDDO
	742
	743	!
[978]	744	!-- Bottom boundary at the outflow
	745	IF ( ibc_uv_b == 0 ) THEN
	746	u_p(nzb,:,0) = 0.0
	747	v_p(nzb,:,-1) = 0.0
	748	ELSE
	749	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	750	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	751	ENDIF
	752	w_p(nzb,:,-1) = 0.0
[1]	753
[75]	754	!
[978]	755	!-- Top boundary at the outflow
	756	IF ( ibc_uv_t == 0 ) THEN
	757	u_p(nzt+1,:,-1) = u_init(nzt+1)
	758	v_p(nzt+1,:,-1) = v_init(nzt+1)
	759	ELSE
	760	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
	761	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	762	ENDIF
	763	w_p(nzt:nzt+1,:,-1) = 0.0
	764
[75]	765	ENDIF
[73]	766
[75]	767	ENDIF
[73]	768
[106]	769	IF ( outflow_r ) THEN
[73]	770
[1159]	771	IF ( use_cmax ) THEN
	772	u_p(:,:,nx+1) = u(:,:,nx)
	773	v_p(:,:,nx+1) = v(:,:,nx)
	774	w_p(:,:,nx+1) = w(:,:,nx)
	775	ELSEIF ( .NOT. use_cmax ) THEN
[75]	776
[978]	777	c_max = dx / dt_3d
[75]	778
[978]	779	c_u_m_l = 0.0
	780	c_v_m_l = 0.0
	781	c_w_m_l = 0.0
	782
	783	c_u_m = 0.0
	784	c_v_m = 0.0
	785	c_w_m = 0.0
	786
[1]	787	!
[996]	788	!-- Calculate the phase speeds for u, v, and w, first local and then
	789	!-- average along the outflow boundary.
	790	DO k = nzb+1, nzt+1
	791	DO j = nys, nyn
[73]	792
[106]	793	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	794
	795	IF ( denom /= 0.0 ) THEN
[996]	796	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[106]	797	IF ( c_u(k,j) < 0.0 ) THEN
	798	c_u(k,j) = 0.0
	799	ELSEIF ( c_u(k,j) > c_max ) THEN
	800	c_u(k,j) = c_max
	801	ENDIF
	802	ELSE
	803	c_u(k,j) = c_max
[73]	804	ENDIF
	805
[106]	806	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	807
[106]	808	IF ( denom /= 0.0 ) THEN
[996]	809	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[106]	810	IF ( c_v(k,j) < 0.0 ) THEN
	811	c_v(k,j) = 0.0
	812	ELSEIF ( c_v(k,j) > c_max ) THEN
	813	c_v(k,j) = c_max
	814	ENDIF
	815	ELSE
	816	c_v(k,j) = c_max
[73]	817	ENDIF
	818
[106]	819	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	820
[106]	821	IF ( denom /= 0.0 ) THEN
[996]	822	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[106]	823	IF ( c_w(k,j) < 0.0 ) THEN
	824	c_w(k,j) = 0.0
	825	ELSEIF ( c_w(k,j) > c_max ) THEN
	826	c_w(k,j) = c_max
	827	ENDIF
	828	ELSE
	829	c_w(k,j) = c_max
[73]	830	ENDIF
[106]	831
[978]	832	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	833	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	834	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	835
[978]	836	ENDDO
	837	ENDDO
[73]	838
[978]	839	#if defined( __parallel )
	840	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	841	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	842	MPI_SUM, comm1dy, ierr )
	843	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	844	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	845	MPI_SUM, comm1dy, ierr )
	846	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	847	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	848	MPI_SUM, comm1dy, ierr )
	849	#else
	850	c_u_m = c_u_m_l
	851	c_v_m = c_v_m_l
	852	c_w_m = c_w_m_l
	853	#endif
	854
	855	c_u_m = c_u_m / (ny+1)
	856	c_v_m = c_v_m / (ny+1)
	857	c_w_m = c_w_m / (ny+1)
	858
[73]	859	!
[978]	860	!-- Save old timelevels for the next timestep
	861	IF ( intermediate_timestep_count == 1 ) THEN
	862	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	863	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	864	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	865	ENDIF
[73]	866
[978]	867	!
	868	!-- Calculate the new velocities
[996]	869	DO k = nzb+1, nzt+1
[1113]	870	DO j = nysg, nyng
[978]	871	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	872	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	873
[978]	874	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	875	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	876
[978]	877	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	878	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	879	ENDDO
[73]	880	ENDDO
	881
	882	!
[978]	883	!-- Bottom boundary at the outflow
	884	IF ( ibc_uv_b == 0 ) THEN
	885	u_p(nzb,:,nx+1) = 0.0
	886	v_p(nzb,:,nx+1) = 0.0
	887	ELSE
	888	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	889	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	890	ENDIF
	891	w_p(nzb,:,nx+1) = 0.0
[73]	892
	893	!
[978]	894	!-- Top boundary at the outflow
	895	IF ( ibc_uv_t == 0 ) THEN
	896	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	897	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	898	ELSE
	899	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	900	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	901	ENDIF
	902	w(nzt:nzt+1,:,nx+1) = 0.0
	903
[1]	904	ENDIF
	905
	906	ENDIF
	907
	908	END SUBROUTINE boundary_conds

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