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source: palm/trunk/SOURCE/diffusion_v.f90 @ 1014

Last change on this file since 1014 was 1002, checked in by raasch, 12 years ago
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[1]	1	MODULE diffusion_v_mod
	2
	3	!------------------------------------------------------------------------------!
[484]	4	! Current revisions:
[1]	5	! -----------------
	6	!
[1002]	7	!
[1]	8	! Former revisions:
	9	! -----------------
[3]	10	! $Id: diffusion_v.f90 1002 2012-09-13 15:12:24Z raasch $
[39]	11	!
[1002]	12	! 1001 2012-09-13 14:08:46Z raasch
	13	! arrays comunicated by module instead of parameter list
	14	!
[979]	15	! 978 2012-08-09 08:28:32Z fricke
	16	! outflow damping layer removed
	17	! kmxm_x/_y and kmxp_x/_y change to kmxm and kmxp
	18	!
[668]	19	! 667 2010-12-23 12:06:00Z suehring/gryschka
	20	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
	21	!
[392]	22	! 366 2009-08-25 08:06:27Z raasch
	23	! bc_lr replaced by bc_lr_cyc
	24	!
[110]	25	! 106 2007-08-16 14:30:26Z raasch
	26	! Momentumflux at top (vswst) included as boundary condition,
	27	! j loop is starting from nysv (needed for non-cyclic boundary conditions)
	28	!
[77]	29	! 75 2007-03-22 09:54:05Z raasch
	30	! Wall functions now include diabatic conditions, call of routine wall_fluxes,
	31	! z0 removed from argument list, vynp eliminated
	32	!
[39]	33	! 20 2007-02-26 00:12:32Z raasch
	34	! Bugfix: ddzw dimensioned 1:nzt"+1"
	35	!
[3]	36	! RCS Log replace by Id keyword, revision history cleaned up
	37	!
[1]	38	! Revision 1.15 2006/02/23 10:36:00 raasch
	39	! nzb_2d replaced by nzb_v_outer in horizontal diffusion and by nzb_v_inner
	40	! or nzb_diff_v, respectively, in vertical diffusion,
	41	! wall functions added for north and south walls, +z0 in argument list,
	42	! terms containing w(k-1,..) are removed from the Prandtl-layer equation
	43	! because they cause errors at the edges of topography
	44	! WARNING: loops containing the MAX function are still not properly vectorized!
	45	!
	46	! Revision 1.1 1997/09/12 06:24:01 raasch
	47	! Initial revision
	48	!
	49	!
	50	! Description:
	51	! ------------
	52	! Diffusion term of the v-component
	53	!------------------------------------------------------------------------------!
	54
[56]	55	USE wall_fluxes_mod
	56
[1]	57	PRIVATE
	58	PUBLIC diffusion_v
	59
	60	INTERFACE diffusion_v
	61	MODULE PROCEDURE diffusion_v
	62	MODULE PROCEDURE diffusion_v_ij
	63	END INTERFACE diffusion_v
	64
	65	CONTAINS
	66
	67
	68	!------------------------------------------------------------------------------!
	69	! Call for all grid points
	70	!------------------------------------------------------------------------------!
[1001]	71	SUBROUTINE diffusion_v
[1]	72
[1001]	73	USE arrays_3d
[1]	74	USE control_parameters
	75	USE grid_variables
	76	USE indices
	77
	78	IMPLICIT NONE
	79
	80	INTEGER :: i, j, k
[978]	81	REAL :: kmxm, kmxp, kmzm, kmzp
[1001]	82
[75]	83	REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: vsus
[1]	84
[56]	85	!
	86	!-- First calculate horizontal momentum flux v'u' at vertical walls,
	87	!-- if neccessary
	88	IF ( topography /= 'flat' ) THEN
[75]	89	CALL wall_fluxes( vsus, 0.0, 1.0, 0.0, 0.0, nzb_v_inner, &
[56]	90	nzb_v_outer, wall_v )
	91	ENDIF
	92
[1]	93	DO i = nxl, nxr
[106]	94	DO j = nysv, nyn
[1]	95	!
	96	!-- Compute horizontal diffusion
	97	DO k = nzb_v_outer(j,i)+1, nzt
	98	!
	99	!-- Interpolate eddy diffusivities on staggered gridpoints
[978]	100	kmxp = 0.25 * &
	101	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	102	kmxm = 0.25 * &
	103	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	104
	105	tend(k,j,i) = tend(k,j,i) &
[978]	106	& + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	107	& + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	108	& - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	109	& - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	110	& ) * ddx &
	111	& + 2.0 * ( &
	112	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	113	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	114	& ) * ddy2
	115	ENDDO
	116
	117	!
	118	!-- Wall functions at the left and right walls, respectively
	119	IF ( wall_v(j,i) /= 0.0 ) THEN
[51]	120
[1]	121	DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i)
[978]	122	kmxp = 0.25 * &
	123	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	124	kmxm = 0.25 * &
	125	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
	126
[1]	127	tend(k,j,i) = tend(k,j,i) &
	128	+ 2.0 * ( &
	129	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	130	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	131	) * ddy2 &
	132	+ ( fxp(j,i) * ( &
[978]	133	kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	134	+ kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
[1]	135	) &
	136	- fxm(j,i) * ( &
[978]	137	kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	138	+ kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	139	) &
[56]	140	+ wall_v(j,i) * vsus(k,j,i) &
[1]	141	) * ddx
	142	ENDDO
	143	ENDIF
	144
	145	!
	146	!-- Compute vertical diffusion. In case of simulating a Prandtl
	147	!-- layer, index k starts at nzb_v_inner+2.
[102]	148	DO k = nzb_diff_v(j,i), nzt_diff
[1]	149	!
	150	!-- Interpolate eddy diffusivities on staggered gridpoints
	151	kmzp = 0.25 * &
	152	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	153	kmzm = 0.25 * &
	154	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	155
	156	tend(k,j,i) = tend(k,j,i) &
	157	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	158	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	159	& ) &
	160	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	161	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	162	& ) &
	163	& ) * ddzw(k)
	164	ENDDO
	165
	166	!
	167	!-- Vertical diffusion at the first grid point above the surface,
	168	!-- if the momentum flux at the bottom is given by the Prandtl law
	169	!-- or if it is prescribed by the user.
	170	!-- Difference quotient of the momentum flux is not formed over
	171	!-- half of the grid spacing (2.0*ddzw(k)) any more, since the
	172	!-- comparison with other (LES) modell showed that the values of
	173	!-- the momentum flux becomes too large in this case.
	174	!-- The term containing w(k-1,..) (see above equation) is removed here
	175	!-- because the vertical velocity is assumed to be zero at the surface.
	176	IF ( use_surface_fluxes ) THEN
	177	k = nzb_v_inner(j,i)+1
	178	!
	179	!-- Interpolate eddy diffusivities on staggered gridpoints
	180	kmzp = 0.25 * &
	181	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	182	kmzm = 0.25 * &
	183	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	184
	185	tend(k,j,i) = tend(k,j,i) &
	186	& + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	187	& ) * ddzw(k) &
[102]	188	& + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
[1]	189	& + vsws(j,i) &
	190	& ) * ddzw(k)
	191	ENDIF
	192
[102]	193	!
	194	!-- Vertical diffusion at the first gridpoint below the top boundary,
	195	!-- if the momentum flux at the top is prescribed by the user
[103]	196	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[102]	197	k = nzt
	198	!
	199	!-- Interpolate eddy diffusivities on staggered gridpoints
	200	kmzp = 0.25 * &
	201	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	202	kmzm = 0.25 * &
	203	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	204
	205	tend(k,j,i) = tend(k,j,i) &
	206	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	207	& ) * ddzw(k) &
	208	& + ( -vswst(j,i) &
	209	& - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	210	& ) * ddzw(k)
	211	ENDIF
	212
[1]	213	ENDDO
	214	ENDDO
	215
	216	END SUBROUTINE diffusion_v
	217
	218
	219	!------------------------------------------------------------------------------!
	220	! Call for grid point i,j
	221	!------------------------------------------------------------------------------!
[1001]	222	SUBROUTINE diffusion_v_ij( i, j )
[1]	223
[1001]	224	USE arrays_3d
[1]	225	USE control_parameters
	226	USE grid_variables
	227	USE indices
	228
	229	IMPLICIT NONE
	230
	231	INTEGER :: i, j, k
[978]	232	REAL :: kmxm, kmxp, kmzm, kmzp
[1]	233
[1001]	234	REAL, DIMENSION(nzb:nzt+1) :: vsus
	235
[1]	236	!
	237	!-- Compute horizontal diffusion
	238	DO k = nzb_v_outer(j,i)+1, nzt
	239	!
	240	!-- Interpolate eddy diffusivities on staggered gridpoints
[978]	241	kmxp = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	242	kmxm = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	243
	244	tend(k,j,i) = tend(k,j,i) &
[978]	245	& + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	246	& + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	247	& - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	248	& - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	249	& ) * ddx &
	250	& + 2.0 * ( &
	251	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	252	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	253	& ) * ddy2
	254	ENDDO
	255
	256	!
	257	!-- Wall functions at the left and right walls, respectively
	258	IF ( wall_v(j,i) /= 0.0 ) THEN
[51]	259
	260	!
	261	!-- Calculate the horizontal momentum flux v'u'
	262	CALL wall_fluxes( i, j, nzb_v_inner(j,i)+1, nzb_v_outer(j,i), &
	263	vsus, 0.0, 1.0, 0.0, 0.0 )
	264
[1]	265	DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i)
[978]	266	kmxp = 0.25 * &
	267	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	268	kmxm = 0.25 * &
	269	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	270
	271	tend(k,j,i) = tend(k,j,i) &
	272	+ 2.0 * ( &
	273	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	274	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	275	) * ddy2 &
	276	+ ( fxp(j,i) * ( &
[978]	277	kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	278	+ kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
[1]	279	) &
	280	- fxm(j,i) * ( &
[978]	281	kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	282	+ kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	283	) &
[51]	284	+ wall_v(j,i) * vsus(k) &
[1]	285	) * ddx
	286	ENDDO
	287	ENDIF
	288
	289	!
	290	!-- Compute vertical diffusion. In case of simulating a Prandtl layer,
	291	!-- index k starts at nzb_v_inner+2.
[102]	292	DO k = nzb_diff_v(j,i), nzt_diff
[1]	293	!
	294	!-- Interpolate eddy diffusivities on staggered gridpoints
	295	kmzp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	296	kmzm = 0.25 * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	297
	298	tend(k,j,i) = tend(k,j,i) &
	299	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	300	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	301	& ) &
	302	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	303	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	304	& ) &
	305	& ) * ddzw(k)
	306	ENDDO
	307
	308	!
	309	!-- Vertical diffusion at the first grid point above the surface, if the
	310	!-- momentum flux at the bottom is given by the Prandtl law or if it is
	311	!-- prescribed by the user.
	312	!-- Difference quotient of the momentum flux is not formed over half of
	313	!-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with
	314	!-- other (LES) modell showed that the values of the momentum flux becomes
	315	!-- too large in this case.
	316	!-- The term containing w(k-1,..) (see above equation) is removed here
	317	!-- because the vertical velocity is assumed to be zero at the surface.
	318	IF ( use_surface_fluxes ) THEN
	319	k = nzb_v_inner(j,i)+1
	320	!
	321	!-- Interpolate eddy diffusivities on staggered gridpoints
	322	kmzp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	323	kmzm = 0.25 * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	324
	325	tend(k,j,i) = tend(k,j,i) &
	326	& + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	327	& ) * ddzw(k) &
[102]	328	& + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
[1]	329	& + vsws(j,i) &
	330	& ) * ddzw(k)
	331	ENDIF
	332
[102]	333	!
	334	!-- Vertical diffusion at the first gridpoint below the top boundary,
	335	!-- if the momentum flux at the top is prescribed by the user
[103]	336	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[102]	337	k = nzt
	338	!
	339	!-- Interpolate eddy diffusivities on staggered gridpoints
	340	kmzp = 0.25 * &
	341	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	342	kmzm = 0.25 * &
	343	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	344
	345	tend(k,j,i) = tend(k,j,i) &
	346	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	347	& ) * ddzw(k) &
	348	& + ( -vswst(j,i) &
	349	& - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	350	& ) * ddzw(k)
	351	ENDIF
	352
[1]	353	END SUBROUTINE diffusion_v_ij
	354
	355	END MODULE diffusion_v_mod

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