C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vi_hdissip.F,v 1.32 2007/06/09 17:44:55 heimbach Exp $
C $Name: $
#include "MOM_VECINV_OPTIONS.h"
SUBROUTINE MOM_VI_HDISSIP(
I bi,bj,k,
I hDiv,vort3,tension,strain,KE,
I hFacZ,dStar,zStar,
I viscAh_Z,viscAh_D,viscA4_Z,viscA4_D,
I harmonic,biharmonic,useVariableViscosity,
O uDissip,vDissip,
I myThid)
cph(
cph The following line was commented in the argument list
cph TAMC cannot digest commented lines within continuing lines
c I viscAh_Z,viscAh_D,viscA4_Z,viscA4_D,
cph)
IMPLICIT NONE
C
C Calculate horizontal dissipation terms
C [del^2 - del^4] (u,v)
C
C == Global variables ==
#include "SIZE.h"
#include "GRID.h"
#include "EEPARAMS.h"
#include "PARAMS.h"
C == Routine arguments ==
INTEGER bi,bj,k
_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL tension(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL dStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL zStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL uDissip(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL vDissip(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL viscAh_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL viscAh_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL viscA4_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL viscA4_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
LOGICAL harmonic, biharmonic, useVariableViscosity
INTEGER myThid
C == Local variables ==
INTEGER I,J
_RL Zip,Zij,Zpj,Dim,Dij,Dmj,uD2,vD2,uD4,vD4
_RL Zip1,Zij1,Zpj1
C - Laplacian terms
IF (harmonic) THEN
DO j=2-Oly,sNy+Oly-1
DO i=2-Olx,sNx+Olx-1
C This bit scales the harmonic dissipation operator to be proportional
C to the grid-cell area over the time-step. viscAh is then non-dimensional
C and should be less than 1/8, for example viscAh=0.01
IF (useVariableViscosity) THEN
Dij=hDiv( i , j )*viscAh_D(i,j)
Dim=hDiv( i ,j-1)*viscAh_D(i,j-1)
Dmj=hDiv(i-1, j )*viscAh_D(i-1,j)
Zij=hFacZ( i , j )*vort3( i , j )*viscAh_Z(i,j)
Zip=hFacZ( i ,j+1)*vort3( i ,j+1)*viscAh_Z(i,j+1)
Zpj=hFacZ(i+1, j )*vort3(i+1, j )*viscAh_Z(i+1,j)
uD2 = (
& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj)
& -_recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )*recip_DYG(i,j,bi,bj) )
#ifdef ISOTROPIC_COS_SCALING
& *cosFacU(j,bi,bj)
#endif /* ISOTROPIC_COS_SCALING */
vD2 = (
& _recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj)
& *cosFacV(j,bi,bj)
& +( Dij-Dim )*recip_DYC(i,j,bi,bj) )
#ifdef ISOTROPIC_COS_SCALING
& *cosFacV(j,bi,bj)
#endif /* ISOTROPIC_COS_SCALING */
ELSE
Dim=hDiv( i ,j-1)
Dij=hDiv( i , j )
Dmj=hDiv(i-1, j )
Zip=hFacZ( i ,j+1)*vort3( i ,j+1)
Zij=hFacZ( i , j )*vort3( i , j )
Zpj=hFacZ(i+1, j )*vort3(i+1, j )
uD2 = viscAhD*
& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj)
& - viscAhZ*_recip_hFacW(i,j,k,bi,bj)*
& ( Zip-Zij )*recip_DYG(i,j,bi,bj)
#ifdef ISOTROPIC_COS_SCALING
& *cosFacU(j,bi,bj)
#endif /* ISOTROPIC_COS_SCALING */
vD2 = viscAhZ*_recip_hFacS(i,j,k,bi,bj)*
& cosFacV(j,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj)
& + viscAhD* ( Dij-Dim )*recip_DYC(i,j,bi,bj)
#ifdef ISOTROPIC_COS_SCALING
& *cosFacV(j,bi,bj)
#endif /* ISOTROPIC_COS_SCALING */
ENDIF
uDissip(i,j) = uD2
vDissip(i,j) = vD2
ENDDO
ENDDO
ELSE
DO j=2-Oly,sNy+Oly-1
DO i=2-Olx,sNx+Olx-1
uDissip(i,j) = 0.
vDissip(i,j) = 0.
ENDDO
ENDDO
ENDIF
C - Bi-harmonic terms
IF (biharmonic) THEN
DO j=2-Oly,sNy+Oly-1
DO i=2-Olx,sNx+Olx-1
#ifdef MOM_VI_ORIGINAL_VISCA4
Dim=dyF( i ,j-1,bi,bj)*dStar( i ,j-1)
Dij=dyF( i , j ,bi,bj)*dStar( i , j )
Dmj=dyF(i-1, j ,bi,bj)*dStar(i-1, j )
Zip1=dxV( i ,j+1,bi,bj)*hFacZ( i ,j+1)*zStar( i ,j+1)
Zij1=dxV( i , j ,bi,bj)*hFacZ( i , j )*zStar( i , j )
Zpj1=dxV(i+1, j ,bi,bj)*hFacZ(i+1, j )*zStar(i+1, j )
#else
Dim=dStar( i ,j-1)
Dij=dStar( i , j )
Dmj=dStar(i-1, j )
Zip1=hFacZ( i ,j+1)*zStar( i ,j+1)
Zij1=hFacZ( i , j )*zStar( i , j )
Zpj1=hFacZ(i+1, j )*zStar(i+1, j )
#endif
C This bit scales the harmonic dissipation operator to be proportional
C to the grid-cell area over the time-step. viscAh is then non-dimensional
C and should be less than 1/8, for example viscAh=0.01
IF (useVariableViscosity) THEN
Dij=Dij*viscA4_D(i,j)
Dim=Dim*viscA4_D(i,j-1)
Dmj=Dmj*viscA4_D(i-1,j)
Zij=Zij1*viscA4_Z(i,j)
Zip=Zip1*viscA4_Z(i,j+1)
Zpj=Zpj1*viscA4_Z(i+1,j)
#ifdef MOM_VI_ORIGINAL_VISCA4
uD4 = recip_rAw(i,j,bi,bj)*(
& ( (Dij-Dmj)*cosFacU(j,bi,bj) )
& -_recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )
# ifdef ISOTROPIC_COS_SCALING
& *cosFacU(j,bi,bj)
# endif /* ISOTROPIC_COS_SCALING */
& )
vD4 = recip_rAs(i,j,bi,bj)*(
& _recip_hFacS(i,j,k,bi,bj)*( (Zpj-Zij)*cosFacV(j,bi,bj) )
& + ( Dij-Dim )
# ifdef ISOTROPIC_COS_SCALING
& *cosFacV(j,bi,bj)
# endif /* ISOTROPIC_COS_SCALING */
& )
ELSE
Zij=Zij1
Zip=Zip1
Zpj=Zpj1
uD4 = recip_rAw(i,j,bi,bj)*(
& viscA4*( (Dij-Dmj)*cosFacU(j,bi,bj) )
& -_recip_hFacW(i,j,k,bi,bj)*viscA4*( Zip-Zij )
# ifdef ISOTROPIC_COS_SCALING
& *cosFacU(j,bi,bj)
# endif /* ISOTROPIC_COS_SCALING */
& )
vD4 = recip_rAs(i,j,bi,bj)*(
& _recip_hFacS(i,j,k,bi,bj)*viscA4*( (Zpj-Zij)*cosFacV(j,bi,bj) )
& + viscA4*( Dij-Dim )
# ifdef ISOTROPIC_COS_SCALING
& *cosFacV(j,bi,bj)
# endif /* ISOTROPIC_COS_SCALING */
& )
#else /* MOM_VI_ORIGINAL_VISCA4 */
uD4 = (
& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj)
& -_recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )*recip_DYG(i,j,bi,bj) )
# ifdef ISOTROPIC_COS_SCALING
& *cosFacU(j,bi,bj)
# endif /* ISOTROPIC_COS_SCALING */
vD4 = (
& _recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj)
& *cosFacV(j,bi,bj)
& +( Dij-Dim )*recip_DYC(i,j,bi,bj) )
# ifdef ISOTROPIC_COS_SCALING
& *cosFacV(j,bi,bj)
# endif /* ISOTROPIC_COS_SCALING */
ELSE
Zij=Zij1
Zip=Zip1
Zpj=Zpj1
uD4 = viscA4D*
& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj)
& - viscA4Z*_recip_hFacW(i,j,k,bi,bj)*
& ( Zip-Zij )*recip_DYG(i,j,bi,bj)
# ifdef ISOTROPIC_COS_SCALING
& *cosFacU(j,bi,bj)
# endif /* ISOTROPIC_COS_SCALING */
vD4 = viscA4Z*_recip_hFacS(i,j,k,bi,bj)*
& cosFacV(j,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj)
& + viscA4D* ( Dij-Dim )*recip_DYC(i,j,bi,bj)
# ifdef ISOTROPIC_COS_SCALING
& *cosFacV(j,bi,bj)
# endif /* ISOTROPIC_COS_SCALING */
#endif /* MOM_VI_ORIGINAL_VISCA4 */
ENDIF
uDissip(i,j) = uDissip(i,j) - uD4
vDissip(i,j) = vDissip(i,j) - vD4
ENDDO
ENDDO
ENDIF
RETURN
END