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source: palm/trunk/SOURCE/diffusion_v.f90 @ 982

Last change on this file since 982 was 979, checked in by fricke, 13 years ago
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[1]	1	MODULE diffusion_v_mod
	2
	3	!------------------------------------------------------------------------------!
[484]	4	! Current revisions:
[1]	5	! -----------------
	6	!
[979]	7	!
[1]	8	! Former revisions:
	9	! -----------------
[3]	10	! $Id: diffusion_v.f90 979 2012-08-09 08:50:11Z maronga $
[39]	11	!
[979]	12	! 978 2012-08-09 08:28:32Z fricke
	13	! outflow damping layer removed
	14	! kmxm_x/_y and kmxp_x/_y change to kmxm and kmxp
	15	!
[668]	16	! 667 2010-12-23 12:06:00Z suehring/gryschka
	17	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
	18	!
[392]	19	! 366 2009-08-25 08:06:27Z raasch
	20	! bc_lr replaced by bc_lr_cyc
	21	!
[110]	22	! 106 2007-08-16 14:30:26Z raasch
	23	! Momentumflux at top (vswst) included as boundary condition,
	24	! j loop is starting from nysv (needed for non-cyclic boundary conditions)
	25	!
[77]	26	! 75 2007-03-22 09:54:05Z raasch
	27	! Wall functions now include diabatic conditions, call of routine wall_fluxes,
	28	! z0 removed from argument list, vynp eliminated
	29	!
[39]	30	! 20 2007-02-26 00:12:32Z raasch
	31	! Bugfix: ddzw dimensioned 1:nzt"+1"
	32	!
[3]	33	! RCS Log replace by Id keyword, revision history cleaned up
	34	!
[1]	35	! Revision 1.15 2006/02/23 10:36:00 raasch
	36	! nzb_2d replaced by nzb_v_outer in horizontal diffusion and by nzb_v_inner
	37	! or nzb_diff_v, respectively, in vertical diffusion,
	38	! wall functions added for north and south walls, +z0 in argument list,
	39	! terms containing w(k-1,..) are removed from the Prandtl-layer equation
	40	! because they cause errors at the edges of topography
	41	! WARNING: loops containing the MAX function are still not properly vectorized!
	42	!
	43	! Revision 1.1 1997/09/12 06:24:01 raasch
	44	! Initial revision
	45	!
	46	!
	47	! Description:
	48	! ------------
	49	! Diffusion term of the v-component
	50	!------------------------------------------------------------------------------!
	51
[56]	52	USE wall_fluxes_mod
	53
[1]	54	PRIVATE
	55	PUBLIC diffusion_v
	56
	57	INTERFACE diffusion_v
	58	MODULE PROCEDURE diffusion_v
	59	MODULE PROCEDURE diffusion_v_ij
	60	END INTERFACE diffusion_v
	61
	62	CONTAINS
	63
	64
	65	!------------------------------------------------------------------------------!
	66	! Call for all grid points
	67	!------------------------------------------------------------------------------!
[978]	68	SUBROUTINE diffusion_v( ddzu, ddzw, km, tend, u, v, vsws, vswst, w )
[1]	69
	70	USE control_parameters
	71	USE grid_variables
	72	USE indices
	73
	74	IMPLICIT NONE
	75
	76	INTEGER :: i, j, k
[978]	77	REAL :: kmxm, kmxp, kmzm, kmzp
	78	REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1)
[667]	79	REAL :: tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg)
[102]	80	REAL, DIMENSION(:,:), POINTER :: vsws, vswst
[1]	81	REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w
[75]	82	REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: vsus
[1]	83
[56]	84	!
	85	!-- First calculate horizontal momentum flux v'u' at vertical walls,
	86	!-- if neccessary
	87	IF ( topography /= 'flat' ) THEN
[75]	88	CALL wall_fluxes( vsus, 0.0, 1.0, 0.0, 0.0, nzb_v_inner, &
[56]	89	nzb_v_outer, wall_v )
	90	ENDIF
	91
[1]	92	DO i = nxl, nxr
[106]	93	DO j = nysv, nyn
[1]	94	!
	95	!-- Compute horizontal diffusion
	96	DO k = nzb_v_outer(j,i)+1, nzt
	97	!
	98	!-- Interpolate eddy diffusivities on staggered gridpoints
[978]	99	kmxp = 0.25 * &
	100	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	101	kmxm = 0.25 * &
	102	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	103
	104	tend(k,j,i) = tend(k,j,i) &
[978]	105	& + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	106	& + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	107	& - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	108	& - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	109	& ) * ddx &
	110	& + 2.0 * ( &
	111	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	112	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	113	& ) * ddy2
	114	ENDDO
	115
	116	!
	117	!-- Wall functions at the left and right walls, respectively
	118	IF ( wall_v(j,i) /= 0.0 ) THEN
[51]	119
[1]	120	DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i)
[978]	121	kmxp = 0.25 * &
	122	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	123	kmxm = 0.25 * &
	124	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
	125
[1]	126	tend(k,j,i) = tend(k,j,i) &
	127	+ 2.0 * ( &
	128	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	129	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	130	) * ddy2 &
	131	+ ( fxp(j,i) * ( &
[978]	132	kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	133	+ kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
[1]	134	) &
	135	- fxm(j,i) * ( &
[978]	136	kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	137	+ kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	138	) &
[56]	139	+ wall_v(j,i) * vsus(k,j,i) &
[1]	140	) * ddx
	141	ENDDO
	142	ENDIF
	143
	144	!
	145	!-- Compute vertical diffusion. In case of simulating a Prandtl
	146	!-- layer, index k starts at nzb_v_inner+2.
[102]	147	DO k = nzb_diff_v(j,i), nzt_diff
[1]	148	!
	149	!-- Interpolate eddy diffusivities on staggered gridpoints
	150	kmzp = 0.25 * &
	151	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	152	kmzm = 0.25 * &
	153	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	154
	155	tend(k,j,i) = tend(k,j,i) &
	156	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	157	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	158	& ) &
	159	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	160	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	161	& ) &
	162	& ) * ddzw(k)
	163	ENDDO
	164
	165	!
	166	!-- Vertical diffusion at the first grid point above the surface,
	167	!-- if the momentum flux at the bottom is given by the Prandtl law
	168	!-- or if it is prescribed by the user.
	169	!-- Difference quotient of the momentum flux is not formed over
	170	!-- half of the grid spacing (2.0*ddzw(k)) any more, since the
	171	!-- comparison with other (LES) modell showed that the values of
	172	!-- the momentum flux becomes too large in this case.
	173	!-- The term containing w(k-1,..) (see above equation) is removed here
	174	!-- because the vertical velocity is assumed to be zero at the surface.
	175	IF ( use_surface_fluxes ) THEN
	176	k = nzb_v_inner(j,i)+1
	177	!
	178	!-- Interpolate eddy diffusivities on staggered gridpoints
	179	kmzp = 0.25 * &
	180	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	181	kmzm = 0.25 * &
	182	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	183
	184	tend(k,j,i) = tend(k,j,i) &
	185	& + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	186	& ) * ddzw(k) &
[102]	187	& + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
[1]	188	& + vsws(j,i) &
	189	& ) * ddzw(k)
	190	ENDIF
	191
[102]	192	!
	193	!-- Vertical diffusion at the first gridpoint below the top boundary,
	194	!-- if the momentum flux at the top is prescribed by the user
[103]	195	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[102]	196	k = nzt
	197	!
	198	!-- Interpolate eddy diffusivities on staggered gridpoints
	199	kmzp = 0.25 * &
	200	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	201	kmzm = 0.25 * &
	202	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	203
	204	tend(k,j,i) = tend(k,j,i) &
	205	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	206	& ) * ddzw(k) &
	207	& + ( -vswst(j,i) &
	208	& - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	209	& ) * ddzw(k)
	210	ENDIF
	211
[1]	212	ENDDO
	213	ENDDO
	214
	215	END SUBROUTINE diffusion_v
	216
	217
	218	!------------------------------------------------------------------------------!
	219	! Call for grid point i,j
	220	!------------------------------------------------------------------------------!
[978]	221	SUBROUTINE diffusion_v_ij( i, j, ddzu, ddzw, km, tend, u, v, &
[102]	222	vsws, vswst, w )
[1]	223
	224	USE control_parameters
	225	USE grid_variables
	226	USE indices
	227
	228	IMPLICIT NONE
	229
	230	INTEGER :: i, j, k
[978]	231	REAL :: kmxm, kmxp, kmzm, kmzp
	232	REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1)
[667]	233	REAL :: tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg)
[51]	234	REAL, DIMENSION(nzb:nzt+1) :: vsus
[102]	235	REAL, DIMENSION(:,:), POINTER :: vsws, vswst
[1]	236	REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w
	237
	238	!
	239	!-- Compute horizontal diffusion
	240	DO k = nzb_v_outer(j,i)+1, nzt
	241	!
	242	!-- Interpolate eddy diffusivities on staggered gridpoints
[978]	243	kmxp = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	244	kmxm = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	245
	246	tend(k,j,i) = tend(k,j,i) &
[978]	247	& + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	248	& + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	249	& - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	250	& - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	251	& ) * ddx &
	252	& + 2.0 * ( &
	253	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	254	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	255	& ) * ddy2
	256	ENDDO
	257
	258	!
	259	!-- Wall functions at the left and right walls, respectively
	260	IF ( wall_v(j,i) /= 0.0 ) THEN
[51]	261
	262	!
	263	!-- Calculate the horizontal momentum flux v'u'
	264	CALL wall_fluxes( i, j, nzb_v_inner(j,i)+1, nzb_v_outer(j,i), &
	265	vsus, 0.0, 1.0, 0.0, 0.0 )
	266
[1]	267	DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i)
[978]	268	kmxp = 0.25 * &
	269	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	270	kmxm = 0.25 * &
	271	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	272
	273	tend(k,j,i) = tend(k,j,i) &
	274	+ 2.0 * ( &
	275	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	276	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	277	) * ddy2 &
	278	+ ( fxp(j,i) * ( &
[978]	279	kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	280	+ kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
[1]	281	) &
	282	- fxm(j,i) * ( &
[978]	283	kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	284	+ kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	285	) &
[51]	286	+ wall_v(j,i) * vsus(k) &
[1]	287	) * ddx
	288	ENDDO
	289	ENDIF
	290
	291	!
	292	!-- Compute vertical diffusion. In case of simulating a Prandtl layer,
	293	!-- index k starts at nzb_v_inner+2.
[102]	294	DO k = nzb_diff_v(j,i), nzt_diff
[1]	295	!
	296	!-- Interpolate eddy diffusivities on staggered gridpoints
	297	kmzp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	298	kmzm = 0.25 * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	299
	300	tend(k,j,i) = tend(k,j,i) &
	301	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	302	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	303	& ) &
	304	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	305	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	306	& ) &
	307	& ) * ddzw(k)
	308	ENDDO
	309
	310	!
	311	!-- Vertical diffusion at the first grid point above the surface, if the
	312	!-- momentum flux at the bottom is given by the Prandtl law or if it is
	313	!-- prescribed by the user.
	314	!-- Difference quotient of the momentum flux is not formed over half of
	315	!-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with
	316	!-- other (LES) modell showed that the values of the momentum flux becomes
	317	!-- too large in this case.
	318	!-- The term containing w(k-1,..) (see above equation) is removed here
	319	!-- because the vertical velocity is assumed to be zero at the surface.
	320	IF ( use_surface_fluxes ) THEN
	321	k = nzb_v_inner(j,i)+1
	322	!
	323	!-- Interpolate eddy diffusivities on staggered gridpoints
	324	kmzp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	325	kmzm = 0.25 * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	326
	327	tend(k,j,i) = tend(k,j,i) &
	328	& + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	329	& ) * ddzw(k) &
[102]	330	& + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
[1]	331	& + vsws(j,i) &
	332	& ) * ddzw(k)
	333	ENDIF
	334
[102]	335	!
	336	!-- Vertical diffusion at the first gridpoint below the top boundary,
	337	!-- if the momentum flux at the top is prescribed by the user
[103]	338	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[102]	339	k = nzt
	340	!
	341	!-- Interpolate eddy diffusivities on staggered gridpoints
	342	kmzp = 0.25 * &
	343	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	344	kmzm = 0.25 * &
	345	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	346
	347	tend(k,j,i) = tend(k,j,i) &
	348	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	349	& ) * ddzw(k) &
	350	& + ( -vswst(j,i) &
	351	& - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	352	& ) * ddzw(k)
	353	ENDIF
	354
[1]	355	END SUBROUTINE diffusion_v_ij
	356
	357	END MODULE diffusion_v_mod

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