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source: palm/trunk/SOURCE/diffusion_v.f90 @ 76

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

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