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source: palm/trunk/SOURCE/diffusion_v.f90 @ 978

Last change on this file since 978 was 978, checked in by fricke, 12 years ago
merge fricke branch back into trunk
Property svn:keywords set to `Id`
File size: 15.7 KB

Rev	Line
[1]	1	MODULE diffusion_v_mod
	2
	3	!------------------------------------------------------------------------------!
[484]	4	! Current revisions:
[1]	5	! -----------------
[978]	6	! outflow damping layer removed
	7	! kmxm_x/_y and kmxp_x/_y change to kmxm and kmxp
[1]	8	!
	9	! Former revisions:
	10	! -----------------
[3]	11	! $Id: diffusion_v.f90 978 2012-08-09 08:28:32Z fricke $
[39]	12	!
[668]	13	! 667 2010-12-23 12:06:00Z suehring/gryschka
	14	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
	15	!
[392]	16	! 366 2009-08-25 08:06:27Z raasch
	17	! bc_lr replaced by bc_lr_cyc
	18	!
[110]	19	! 106 2007-08-16 14:30:26Z raasch
	20	! Momentumflux at top (vswst) included as boundary condition,
	21	! j loop is starting from nysv (needed for non-cyclic boundary conditions)
	22	!
[77]	23	! 75 2007-03-22 09:54:05Z raasch
	24	! Wall functions now include diabatic conditions, call of routine wall_fluxes,
	25	! z0 removed from argument list, vynp eliminated
	26	!
[39]	27	! 20 2007-02-26 00:12:32Z raasch
	28	! Bugfix: ddzw dimensioned 1:nzt"+1"
	29	!
[3]	30	! RCS Log replace by Id keyword, revision history cleaned up
	31	!
[1]	32	! Revision 1.15 2006/02/23 10:36:00 raasch
	33	! nzb_2d replaced by nzb_v_outer in horizontal diffusion and by nzb_v_inner
	34	! or nzb_diff_v, respectively, in vertical diffusion,
	35	! wall functions added for north and south walls, +z0 in argument list,
	36	! terms containing w(k-1,..) are removed from the Prandtl-layer equation
	37	! because they cause errors at the edges of topography
	38	! WARNING: loops containing the MAX function are still not properly vectorized!
	39	!
	40	! Revision 1.1 1997/09/12 06:24:01 raasch
	41	! Initial revision
	42	!
	43	!
	44	! Description:
	45	! ------------
	46	! Diffusion term of the v-component
	47	!------------------------------------------------------------------------------!
	48
[56]	49	USE wall_fluxes_mod
	50
[1]	51	PRIVATE
	52	PUBLIC diffusion_v
	53
	54	INTERFACE diffusion_v
	55	MODULE PROCEDURE diffusion_v
	56	MODULE PROCEDURE diffusion_v_ij
	57	END INTERFACE diffusion_v
	58
	59	CONTAINS
	60
	61
	62	!------------------------------------------------------------------------------!
	63	! Call for all grid points
	64	!------------------------------------------------------------------------------!
[978]	65	SUBROUTINE diffusion_v( ddzu, ddzw, km, tend, u, v, vsws, vswst, w )
[1]	66
	67	USE control_parameters
	68	USE grid_variables
	69	USE indices
	70
	71	IMPLICIT NONE
	72
	73	INTEGER :: i, j, k
[978]	74	REAL :: kmxm, kmxp, kmzm, kmzp
	75	REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1)
[667]	76	REAL :: tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg)
[102]	77	REAL, DIMENSION(:,:), POINTER :: vsws, vswst
[1]	78	REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w
[75]	79	REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: vsus
[1]	80
[56]	81	!
	82	!-- First calculate horizontal momentum flux v'u' at vertical walls,
	83	!-- if neccessary
	84	IF ( topography /= 'flat' ) THEN
[75]	85	CALL wall_fluxes( vsus, 0.0, 1.0, 0.0, 0.0, nzb_v_inner, &
[56]	86	nzb_v_outer, wall_v )
	87	ENDIF
	88
[1]	89	DO i = nxl, nxr
[106]	90	DO j = nysv, nyn
[1]	91	!
	92	!-- Compute horizontal diffusion
	93	DO k = nzb_v_outer(j,i)+1, nzt
	94	!
	95	!-- Interpolate eddy diffusivities on staggered gridpoints
[978]	96	kmxp = 0.25 * &
	97	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	98	kmxm = 0.25 * &
	99	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	100
	101	tend(k,j,i) = tend(k,j,i) &
[978]	102	& + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	103	& + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	104	& - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	105	& - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	106	& ) * ddx &
	107	& + 2.0 * ( &
	108	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	109	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	110	& ) * ddy2
	111	ENDDO
	112
	113	!
	114	!-- Wall functions at the left and right walls, respectively
	115	IF ( wall_v(j,i) /= 0.0 ) THEN
[51]	116
[1]	117	DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i)
[978]	118	kmxp = 0.25 * &
	119	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	120	kmxm = 0.25 * &
	121	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
	122
[1]	123	tend(k,j,i) = tend(k,j,i) &
	124	+ 2.0 * ( &
	125	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	126	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	127	) * ddy2 &
	128	+ ( fxp(j,i) * ( &
[978]	129	kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	130	+ kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
[1]	131	) &
	132	- fxm(j,i) * ( &
[978]	133	kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	134	+ kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	135	) &
[56]	136	+ wall_v(j,i) * vsus(k,j,i) &
[1]	137	) * ddx
	138	ENDDO
	139	ENDIF
	140
	141	!
	142	!-- Compute vertical diffusion. In case of simulating a Prandtl
	143	!-- layer, index k starts at nzb_v_inner+2.
[102]	144	DO k = nzb_diff_v(j,i), nzt_diff
[1]	145	!
	146	!-- Interpolate eddy diffusivities on staggered gridpoints
	147	kmzp = 0.25 * &
	148	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	149	kmzm = 0.25 * &
	150	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	151
	152	tend(k,j,i) = tend(k,j,i) &
	153	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	154	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	155	& ) &
	156	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	157	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	158	& ) &
	159	& ) * ddzw(k)
	160	ENDDO
	161
	162	!
	163	!-- Vertical diffusion at the first grid point above the surface,
	164	!-- if the momentum flux at the bottom is given by the Prandtl law
	165	!-- or if it is prescribed by the user.
	166	!-- Difference quotient of the momentum flux is not formed over
	167	!-- half of the grid spacing (2.0*ddzw(k)) any more, since the
	168	!-- comparison with other (LES) modell showed that the values of
	169	!-- the momentum flux becomes too large in this case.
	170	!-- The term containing w(k-1,..) (see above equation) is removed here
	171	!-- because the vertical velocity is assumed to be zero at the surface.
	172	IF ( use_surface_fluxes ) THEN
	173	k = nzb_v_inner(j,i)+1
	174	!
	175	!-- Interpolate eddy diffusivities on staggered gridpoints
	176	kmzp = 0.25 * &
	177	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	178	kmzm = 0.25 * &
	179	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	180
	181	tend(k,j,i) = tend(k,j,i) &
	182	& + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	183	& ) * ddzw(k) &
[102]	184	& + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
[1]	185	& + vsws(j,i) &
	186	& ) * ddzw(k)
	187	ENDIF
	188
[102]	189	!
	190	!-- Vertical diffusion at the first gridpoint below the top boundary,
	191	!-- if the momentum flux at the top is prescribed by the user
[103]	192	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[102]	193	k = nzt
	194	!
	195	!-- Interpolate eddy diffusivities on staggered gridpoints
	196	kmzp = 0.25 * &
	197	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	198	kmzm = 0.25 * &
	199	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	200
	201	tend(k,j,i) = tend(k,j,i) &
	202	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	203	& ) * ddzw(k) &
	204	& + ( -vswst(j,i) &
	205	& - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	206	& ) * ddzw(k)
	207	ENDIF
	208
[1]	209	ENDDO
	210	ENDDO
	211
	212	END SUBROUTINE diffusion_v
	213
	214
	215	!------------------------------------------------------------------------------!
	216	! Call for grid point i,j
	217	!------------------------------------------------------------------------------!
[978]	218	SUBROUTINE diffusion_v_ij( i, j, ddzu, ddzw, km, tend, u, v, &
[102]	219	vsws, vswst, w )
[1]	220
	221	USE control_parameters
	222	USE grid_variables
	223	USE indices
	224
	225	IMPLICIT NONE
	226
	227	INTEGER :: i, j, k
[978]	228	REAL :: kmxm, kmxp, kmzm, kmzp
	229	REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1)
[667]	230	REAL :: tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg)
[51]	231	REAL, DIMENSION(nzb:nzt+1) :: vsus
[102]	232	REAL, DIMENSION(:,:), POINTER :: vsws, vswst
[1]	233	REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w
	234
	235	!
	236	!-- Compute horizontal diffusion
	237	DO k = nzb_v_outer(j,i)+1, nzt
	238	!
	239	!-- Interpolate eddy diffusivities on staggered gridpoints
[978]	240	kmxp = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	241	kmxm = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	242
	243	tend(k,j,i) = tend(k,j,i) &
[978]	244	& + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	245	& + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	246	& - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	247	& - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	248	& ) * ddx &
	249	& + 2.0 * ( &
	250	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	251	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	252	& ) * ddy2
	253	ENDDO
	254
	255	!
	256	!-- Wall functions at the left and right walls, respectively
	257	IF ( wall_v(j,i) /= 0.0 ) THEN
[51]	258
	259	!
	260	!-- Calculate the horizontal momentum flux v'u'
	261	CALL wall_fluxes( i, j, nzb_v_inner(j,i)+1, nzb_v_outer(j,i), &
	262	vsus, 0.0, 1.0, 0.0, 0.0 )
	263
[1]	264	DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i)
[978]	265	kmxp = 0.25 * &
	266	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	267	kmxm = 0.25 * &
	268	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	269
	270	tend(k,j,i) = tend(k,j,i) &
	271	+ 2.0 * ( &
	272	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	273	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	274	) * ddy2 &
	275	+ ( fxp(j,i) * ( &
[978]	276	kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	277	+ kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
[1]	278	) &
	279	- fxm(j,i) * ( &
[978]	280	kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	281	+ kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	282	) &
[51]	283	+ wall_v(j,i) * vsus(k) &
[1]	284	) * ddx
	285	ENDDO
	286	ENDIF
	287
	288	!
	289	!-- Compute vertical diffusion. In case of simulating a Prandtl layer,
	290	!-- index k starts at nzb_v_inner+2.
[102]	291	DO k = nzb_diff_v(j,i), nzt_diff
[1]	292	!
	293	!-- Interpolate eddy diffusivities on staggered gridpoints
	294	kmzp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	295	kmzm = 0.25 * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	296
	297	tend(k,j,i) = tend(k,j,i) &
	298	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	299	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	300	& ) &
	301	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	302	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	303	& ) &
	304	& ) * ddzw(k)
	305	ENDDO
	306
	307	!
	308	!-- Vertical diffusion at the first grid point above the surface, if the
	309	!-- momentum flux at the bottom is given by the Prandtl law or if it is
	310	!-- prescribed by the user.
	311	!-- Difference quotient of the momentum flux is not formed over half of
	312	!-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with
	313	!-- other (LES) modell showed that the values of the momentum flux becomes
	314	!-- too large in this case.
	315	!-- The term containing w(k-1,..) (see above equation) is removed here
	316	!-- because the vertical velocity is assumed to be zero at the surface.
	317	IF ( use_surface_fluxes ) THEN
	318	k = nzb_v_inner(j,i)+1
	319	!
	320	!-- Interpolate eddy diffusivities on staggered gridpoints
	321	kmzp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	322	kmzm = 0.25 * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	323
	324	tend(k,j,i) = tend(k,j,i) &
	325	& + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	326	& ) * ddzw(k) &
[102]	327	& + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
[1]	328	& + vsws(j,i) &
	329	& ) * ddzw(k)
	330	ENDIF
	331
[102]	332	!
	333	!-- Vertical diffusion at the first gridpoint below the top boundary,
	334	!-- if the momentum flux at the top is prescribed by the user
[103]	335	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[102]	336	k = nzt
	337	!
	338	!-- Interpolate eddy diffusivities on staggered gridpoints
	339	kmzp = 0.25 * &
	340	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	341	kmzm = 0.25 * &
	342	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	343
	344	tend(k,j,i) = tend(k,j,i) &
	345	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	346	& ) * ddzw(k) &
	347	& + ( -vswst(j,i) &
	348	& - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	349	& ) * ddzw(k)
	350	ENDIF
	351
[1]	352	END SUBROUTINE diffusion_v_ij
	353
	354	END MODULE diffusion_v_mod

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