Home

Context Navigation

source: palm/trunk/SOURCE/diffusion_v_mod.f90 @ 1850

Last change on this file since 1850 was 1850, checked in by maronga, 8 years ago
added _mod string to several filenames to meet the naming convection for modules
Property svn:keywords set to `Id`
File size: 26.6 KB

Rev	Line
[1850]	1	!> @file diffusion_v_mod.f90
[1036]	2	!--------------------------------------------------------------------------------!
	3	! This file is part of PALM.
	4	!
	5	! PALM is free software: you can redistribute it and/or modify it under the terms
	6	! of the GNU General Public License as published by the Free Software Foundation,
	7	! either version 3 of the License, or (at your option) any later version.
	8	!
	9	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	10	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	11	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	12	!
	13	! You should have received a copy of the GNU General Public License along with
	14	! PALM. If not, see <http://www.gnu.org/licenses/>.
	15	!
[1818]	16	! Copyright 1997-2016 Leibniz Universitaet Hannover
[1036]	17	!--------------------------------------------------------------------------------!
	18	!
[484]	19	! Current revisions:
[1]	20	! -----------------
[1850]	21	! Module renamed
[1341]	22	!
[1741]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: diffusion_v_mod.f90 1850 2016-04-08 13:29:27Z maronga $
	27	!
[1741]	28	! 1740 2016-01-13 08:19:40Z raasch
	29	! unnecessary calculations of kmzm and kmzp in wall bounded parts removed
	30	!
[1683]	31	! 1682 2015-10-07 23:56:08Z knoop
	32	! Code annotations made doxygen readable
	33	!
[1341]	34	! 1340 2014-03-25 19:45:13Z kanani
	35	! REAL constants defined as wp-kind
	36	!
[1321]	37	! 1320 2014-03-20 08:40:49Z raasch
[1320]	38	! ONLY-attribute added to USE-statements,
	39	! kind-parameters added to all INTEGER and REAL declaration statements,
	40	! kinds are defined in new module kinds,
	41	! revision history before 2012 removed,
	42	! comment fields (!:) to be used for variable explanations added to
	43	! all variable declaration statements
[1321]	44	!
[1258]	45	! 1257 2013-11-08 15:18:40Z raasch
	46	! openacc loop and loop vector clauses removed, declare create moved after
	47	! the FORTRAN declaration statement
	48	!
[1132]	49	! 1128 2013-04-12 06:19:32Z raasch
	50	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	51	! j_north
	52	!
[1037]	53	! 1036 2012-10-22 13:43:42Z raasch
	54	! code put under GPL (PALM 3.9)
	55	!
[1017]	56	! 1015 2012-09-27 09:23:24Z raasch
	57	! accelerator version (*_acc) added
	58	!
[1002]	59	! 1001 2012-09-13 14:08:46Z raasch
	60	! arrays comunicated by module instead of parameter list
	61	!
[979]	62	! 978 2012-08-09 08:28:32Z fricke
	63	! outflow damping layer removed
	64	! kmxm_x/_y and kmxp_x/_y change to kmxm and kmxp
	65	!
[1]	66	! Revision 1.1 1997/09/12 06:24:01 raasch
	67	! Initial revision
	68	!
	69	!
	70	! Description:
	71	! ------------
[1682]	72	!> Diffusion term of the v-component
[1]	73	!------------------------------------------------------------------------------!
[1682]	74	MODULE diffusion_v_mod
	75
[1]	76
[56]	77	USE wall_fluxes_mod
	78
[1]	79	PRIVATE
[1015]	80	PUBLIC diffusion_v, diffusion_v_acc
[1]	81
	82	INTERFACE diffusion_v
	83	MODULE PROCEDURE diffusion_v
	84	MODULE PROCEDURE diffusion_v_ij
	85	END INTERFACE diffusion_v
	86
[1015]	87	INTERFACE diffusion_v_acc
	88	MODULE PROCEDURE diffusion_v_acc
	89	END INTERFACE diffusion_v_acc
	90
[1]	91	CONTAINS
	92
	93
	94	!------------------------------------------------------------------------------!
[1682]	95	! Description:
	96	! ------------
	97	!> Call for all grid points
[1]	98	!------------------------------------------------------------------------------!
[1001]	99	SUBROUTINE diffusion_v
[1]	100
[1320]	101	USE arrays_3d, &
	102	ONLY: ddzu, ddzw, km, tend, u, v, vsws, vswst, w
	103
	104	USE control_parameters, &
	105	ONLY: constant_top_momentumflux, topography, use_surface_fluxes, &
	106	use_top_fluxes
	107
	108	USE grid_variables, &
	109	ONLY: ddx, ddy, ddy2, fxm, fxp, wall_v
	110
	111	USE indices, &
	112	ONLY: nxl, nxr, nyn, nys, nysv, nzb, nzb_diff_v, nzb_v_inner, &
	113	nzb_v_outer, nzt, nzt_diff
	114
	115	USE kinds
[1]	116
	117	IMPLICIT NONE
	118
[1682]	119	INTEGER(iwp) :: i !<
	120	INTEGER(iwp) :: j !<
	121	INTEGER(iwp) :: k !<
	122	REAL(wp) :: kmxm !<
	123	REAL(wp) :: kmxp !<
	124	REAL(wp) :: kmzm !<
	125	REAL(wp) :: kmzp !<
[1001]	126
[1682]	127	REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: vsus !<
[1]	128
[56]	129	!
	130	!-- First calculate horizontal momentum flux v'u' at vertical walls,
	131	!-- if neccessary
	132	IF ( topography /= 'flat' ) THEN
[1320]	133	CALL wall_fluxes( vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp, nzb_v_inner, &
[56]	134	nzb_v_outer, wall_v )
	135	ENDIF
	136
[1]	137	DO i = nxl, nxr
[106]	138	DO j = nysv, nyn
[1]	139	!
	140	!-- Compute horizontal diffusion
	141	DO k = nzb_v_outer(j,i)+1, nzt
	142	!
	143	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	144	kmxp = 0.25_wp * &
[978]	145	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
[1340]	146	kmxm = 0.25_wp * &
[978]	147	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	148
[1320]	149	tend(k,j,i) = tend(k,j,i) &
	150	& + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	151	& + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	152	& - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	153	& - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
	154	& ) * ddx &
[1340]	155	& + 2.0_wp * ( &
[1320]	156	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	157	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
[1340]	158	& ) * ddy2
[1]	159	ENDDO
	160
	161	!
	162	!-- Wall functions at the left and right walls, respectively
[1340]	163	IF ( wall_v(j,i) /= 0.0_wp ) THEN
[51]	164
[1]	165	DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i)
[1340]	166	kmxp = 0.25_wp * &
[978]	167	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
[1340]	168	kmxm = 0.25_wp * &
[978]	169	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
	170
[1]	171	tend(k,j,i) = tend(k,j,i) &
[1340]	172	+ 2.0_wp * ( &
[1]	173	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	174	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
[1340]	175	) * ddy2 &
[1]	176	+ ( fxp(j,i) * ( &
[978]	177	kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	178	+ kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
[1]	179	) &
	180	- fxm(j,i) * ( &
[978]	181	kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	182	+ kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	183	) &
[56]	184	+ wall_v(j,i) * vsus(k,j,i) &
[1]	185	) * ddx
	186	ENDDO
	187	ENDIF
	188
	189	!
	190	!-- Compute vertical diffusion. In case of simulating a Prandtl
	191	!-- layer, index k starts at nzb_v_inner+2.
[102]	192	DO k = nzb_diff_v(j,i), nzt_diff
[1]	193	!
	194	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	195	kmzp = 0.25_wp * &
[1]	196	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
[1340]	197	kmzm = 0.25_wp * &
[1]	198	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	199
[1320]	200	tend(k,j,i) = tend(k,j,i) &
	201	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	202	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	203	& ) &
	204	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	205	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	206	& ) &
[1]	207	& ) * ddzw(k)
	208	ENDDO
	209
	210	!
	211	!-- Vertical diffusion at the first grid point above the surface,
	212	!-- if the momentum flux at the bottom is given by the Prandtl law
	213	!-- or if it is prescribed by the user.
	214	!-- Difference quotient of the momentum flux is not formed over
	215	!-- half of the grid spacing (2.0*ddzw(k)) any more, since the
[1320]	216	!-- comparison with other (LES) models showed that the values of
[1]	217	!-- the momentum flux becomes too large in this case.
	218	!-- The term containing w(k-1,..) (see above equation) is removed here
	219	!-- because the vertical velocity is assumed to be zero at the surface.
	220	IF ( use_surface_fluxes ) THEN
	221	k = nzb_v_inner(j,i)+1
	222	!
	223	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	224	kmzp = 0.25_wp * &
[1]	225	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	226
[1320]	227	tend(k,j,i) = tend(k,j,i) &
	228	& + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	229	& ) * ddzw(k) &
	230	& + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	231	& + vsws(j,i) &
[1]	232	& ) * ddzw(k)
	233	ENDIF
	234
[102]	235	!
	236	!-- Vertical diffusion at the first gridpoint below the top boundary,
	237	!-- if the momentum flux at the top is prescribed by the user
[103]	238	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[102]	239	k = nzt
	240	!
	241	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	242	kmzm = 0.25_wp * &
[102]	243	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	244
[1320]	245	tend(k,j,i) = tend(k,j,i) &
	246	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	247	& ) * ddzw(k) &
	248	& + ( -vswst(j,i) &
	249	& - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
[102]	250	& ) * ddzw(k)
	251	ENDIF
	252
[1]	253	ENDDO
	254	ENDDO
	255
	256	END SUBROUTINE diffusion_v
	257
	258
	259	!------------------------------------------------------------------------------!
[1682]	260	! Description:
	261	! ------------
	262	!> Call for all grid points - accelerator version
[1015]	263	!------------------------------------------------------------------------------!
	264	SUBROUTINE diffusion_v_acc
	265
[1320]	266	USE arrays_3d, &
	267	ONLY: ddzu, ddzw, km, tend, u, v, vsws, vswst, w
	268
	269	USE control_parameters, &
	270	ONLY: constant_top_momentumflux, topography, use_surface_fluxes, &
	271	use_top_fluxes
	272
	273	USE grid_variables, &
	274	ONLY: ddx, ddy, ddy2, fxm, fxp, wall_v
	275
	276	USE indices, &
	277	ONLY: i_left, i_right, j_north, j_south, nxl, nxr, nyn, nys, nzb, &
	278	nzb_diff_v, nzb_v_inner, nzb_v_outer, nzt, nzt_diff
	279
	280	USE kinds
[1015]	281
	282	IMPLICIT NONE
	283
[1682]	284	INTEGER(iwp) :: i !<
	285	INTEGER(iwp) :: j !<
	286	INTEGER(iwp) :: k !<
	287	REAL(wp) :: kmxm !<
	288	REAL(wp) :: kmxp !<
	289	REAL(wp) :: kmzm !<
	290	REAL(wp) :: kmzp !<
[1015]	291
[1682]	292	REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: vsus !<
[1015]	293	!$acc declare create ( vsus )
	294
	295	!
	296	!-- First calculate horizontal momentum flux v'u' at vertical walls,
	297	!-- if neccessary
	298	IF ( topography /= 'flat' ) THEN
[1320]	299	CALL wall_fluxes_acc( vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp, &
	300	nzb_v_inner, nzb_v_outer, wall_v )
[1015]	301	ENDIF
	302
[1320]	303	!$acc kernels present ( u, v, w, km, tend, vsws, vswst ) &
	304	!$acc present ( ddzu, ddzw, fxm, fxp, wall_v ) &
[1015]	305	!$acc present ( nzb_v_inner, nzb_v_outer, nzb_diff_v )
[1128]	306	DO i = i_left, i_right
	307	DO j = j_south, j_north
[1015]	308	!
	309	!-- Compute horizontal diffusion
	310	DO k = 1, nzt
	311	IF ( k > nzb_v_outer(j,i) ) THEN
	312	!
	313	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	314	kmxp = 0.25_wp * &
[1015]	315	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
[1340]	316	kmxm = 0.25_wp * &
[1015]	317	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
	318
	319	tend(k,j,i) = tend(k,j,i) &
	320	& + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	321	& + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	322	& - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	323	& - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
	324	& ) * ddx &
[1340]	325	& + 2.0_wp * ( &
[1015]	326	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	327	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
[1340]	328	& ) * ddy2
[1015]	329	ENDIF
	330	ENDDO
	331
	332	!
	333	!-- Wall functions at the left and right walls, respectively
	334	DO k = 1, nzt
[1320]	335	IF( k > nzb_v_inner(j,i) .AND. k <= nzb_v_outer(j,i) .AND. &
[1340]	336	wall_v(j,i) /= 0.0_wp ) THEN
[1015]	337
[1340]	338	kmxp = 0.25_wp * &
[1015]	339	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
[1340]	340	kmxm = 0.25_wp * &
[1015]	341	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
	342
	343	tend(k,j,i) = tend(k,j,i) &
[1340]	344	+ 2.0_wp * ( &
[1015]	345	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	346	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
[1340]	347	) * ddy2 &
[1015]	348	+ ( fxp(j,i) * ( &
	349	kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	350	+ kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	351	) &
	352	- fxm(j,i) * ( &
	353	kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	354	+ kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
	355	) &
	356	+ wall_v(j,i) * vsus(k,j,i) &
	357	) * ddx
	358	ENDIF
	359	ENDDO
	360
	361	!
	362	!-- Compute vertical diffusion. In case of simulating a Prandtl
	363	!-- layer, index k starts at nzb_v_inner+2.
	364	DO k = 1, nzt_diff
	365	IF ( k >= nzb_diff_v(j,i) ) THEN
	366	!
	367	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	368	kmzp = 0.25_wp * &
[1015]	369	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
[1340]	370	kmzm = 0.25_wp * &
[1015]	371	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	372
	373	tend(k,j,i) = tend(k,j,i) &
	374	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1)&
	375	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	376	& ) &
	377	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k)&
	378	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	379	& ) &
	380	& ) * ddzw(k)
	381	ENDIF
	382	ENDDO
	383
	384	ENDDO
	385	ENDDO
	386
	387	!
	388	!-- Vertical diffusion at the first grid point above the surface,
	389	!-- if the momentum flux at the bottom is given by the Prandtl law
	390	!-- or if it is prescribed by the user.
	391	!-- Difference quotient of the momentum flux is not formed over
	392	!-- half of the grid spacing (2.0*ddzw(k)) any more, since the
[1320]	393	!-- comparison with other (LES) models showed that the values of
[1015]	394	!-- the momentum flux becomes too large in this case.
	395	!-- The term containing w(k-1,..) (see above equation) is removed here
	396	!-- because the vertical velocity is assumed to be zero at the surface.
	397	IF ( use_surface_fluxes ) THEN
	398
[1128]	399	DO i = i_left, i_right
	400	DO j = j_south, j_north
[1015]	401
	402	k = nzb_v_inner(j,i)+1
	403	!
	404	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	405	kmzp = 0.25_wp * &
[1015]	406	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	407
[1320]	408	tend(k,j,i) = tend(k,j,i) &
	409	& + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	410	& ) * ddzw(k) &
	411	& + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	412	& + vsws(j,i) &
[1015]	413	& ) * ddzw(k)
	414	ENDDO
	415	ENDDO
	416
	417	ENDIF
	418
	419	!
	420	!-- Vertical diffusion at the first gridpoint below the top boundary,
	421	!-- if the momentum flux at the top is prescribed by the user
	422	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
	423
	424	k = nzt
	425
[1128]	426	DO i = i_left, i_right
	427	DO j = j_south, j_north
[1015]	428
	429	!
	430	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	431	kmzm = 0.25_wp * &
[1015]	432	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	433
[1320]	434	tend(k,j,i) = tend(k,j,i) &
	435	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	436	& ) * ddzw(k) &
	437	& + ( -vswst(j,i) &
	438	& - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
[1015]	439	& ) * ddzw(k)
	440	ENDDO
	441	ENDDO
	442
	443	ENDIF
	444	!$acc end kernels
	445
	446	END SUBROUTINE diffusion_v_acc
	447
	448
	449	!------------------------------------------------------------------------------!
[1682]	450	! Description:
	451	! ------------
	452	!> Call for grid point i,j
[1]	453	!------------------------------------------------------------------------------!
[1001]	454	SUBROUTINE diffusion_v_ij( i, j )
[1]	455
[1320]	456	USE arrays_3d, &
	457	ONLY: ddzu, ddzw, km, tend, u, v, vsws, vswst, w
	458
	459	USE control_parameters, &
	460	ONLY: constant_top_momentumflux, use_surface_fluxes, use_top_fluxes
	461
	462	USE grid_variables, &
	463	ONLY: ddx, ddy, ddy2, fxm, fxp, wall_v
	464
	465	USE indices, &
	466	ONLY: nzb, nzb_diff_v, nzb_v_inner, nzb_v_outer, nzt, nzt_diff
	467
	468	USE kinds
[1]	469
	470	IMPLICIT NONE
	471
[1682]	472	INTEGER(iwp) :: i !<
	473	INTEGER(iwp) :: j !<
	474	INTEGER(iwp) :: k !<
	475	REAL(wp) :: kmxm !<
	476	REAL(wp) :: kmxp !<
	477	REAL(wp) :: kmzm !<
	478	REAL(wp) :: kmzp !<
[1]	479
[1682]	480	REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !<
[1001]	481
[1]	482	!
	483	!-- Compute horizontal diffusion
	484	DO k = nzb_v_outer(j,i)+1, nzt
	485	!
	486	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	487	kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	488	kmxm = 0.25_wp * ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	489
[1320]	490	tend(k,j,i) = tend(k,j,i) &
	491	& + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	492	& + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	493	& - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	494	& - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
	495	& ) * ddx &
[1340]	496	& + 2.0_wp * ( &
[1320]	497	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	498	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
[1340]	499	& ) * ddy2
[1]	500	ENDDO
	501
	502	!
	503	!-- Wall functions at the left and right walls, respectively
[1340]	504	IF ( wall_v(j,i) /= 0.0_wp ) THEN
[51]	505
	506	!
	507	!-- Calculate the horizontal momentum flux v'u'
[1320]	508	CALL wall_fluxes( i, j, nzb_v_inner(j,i)+1, nzb_v_outer(j,i), &
	509	vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp )
[51]	510
[1]	511	DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i)
[1340]	512	kmxp = 0.25_wp * &
[978]	513	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
[1340]	514	kmxm = 0.25_wp * &
[978]	515	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	516
	517	tend(k,j,i) = tend(k,j,i) &
[1340]	518	+ 2.0_wp * ( &
[1]	519	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	520	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
[1340]	521	) * ddy2 &
[1]	522	+ ( fxp(j,i) * ( &
[978]	523	kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	524	+ kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
[1]	525	) &
	526	- fxm(j,i) * ( &
[978]	527	kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	528	+ kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	529	) &
[51]	530	+ wall_v(j,i) * vsus(k) &
[1]	531	) * ddx
	532	ENDDO
	533	ENDIF
	534
	535	!
	536	!-- Compute vertical diffusion. In case of simulating a Prandtl layer,
	537	!-- index k starts at nzb_v_inner+2.
[102]	538	DO k = nzb_diff_v(j,i), nzt_diff
[1]	539	!
	540	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	541	kmzp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	542	kmzm = 0.25_wp * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
[1]	543
[1320]	544	tend(k,j,i) = tend(k,j,i) &
	545	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	546	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	547	& ) &
	548	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	549	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	550	& ) &
[1]	551	& ) * ddzw(k)
	552	ENDDO
	553
	554	!
	555	!-- Vertical diffusion at the first grid point above the surface, if the
	556	!-- momentum flux at the bottom is given by the Prandtl law or if it is
	557	!-- prescribed by the user.
	558	!-- Difference quotient of the momentum flux is not formed over half of
	559	!-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with
[1320]	560	!-- other (LES) models showed that the values of the momentum flux becomes
[1]	561	!-- too large in this case.
	562	!-- The term containing w(k-1,..) (see above equation) is removed here
	563	!-- because the vertical velocity is assumed to be zero at the surface.
	564	IF ( use_surface_fluxes ) THEN
	565	k = nzb_v_inner(j,i)+1
	566	!
	567	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	568	kmzp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
[1]	569
[1320]	570	tend(k,j,i) = tend(k,j,i) &
	571	& + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	572	& ) * ddzw(k) &
	573	& + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	574	& + vsws(j,i) &
[1]	575	& ) * ddzw(k)
	576	ENDIF
	577
[102]	578	!
	579	!-- Vertical diffusion at the first gridpoint below the top boundary,
	580	!-- if the momentum flux at the top is prescribed by the user
[103]	581	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[102]	582	k = nzt
	583	!
	584	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	585	kmzm = 0.25_wp * &
[102]	586	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	587
[1320]	588	tend(k,j,i) = tend(k,j,i) &
	589	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	590	& ) * ddzw(k) &
	591	& + ( -vswst(j,i) &
	592	& - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
[102]	593	& ) * ddzw(k)
	594	ENDIF
	595
[1]	596	END SUBROUTINE diffusion_v_ij
	597
[1321]	598	END MODULE diffusion_v_mod

Note: See TracBrowser for help on using the repository browser.

Download in other formats:

| Impressum | ©Leibniz Universität Hannover |