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C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vi_hdissip.F,v 1.35 2015/02/06 21:42:58 jmc Exp $ |
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C $Name: $ |
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|
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#include "MOM_VECINV_OPTIONS.h" |
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|
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SUBROUTINE MOM_VI_HDISSIP( |
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I bi, bj, k, |
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I hDiv, vort3, dStar, zStar, hFacZ, |
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I viscAh_Z, viscAh_D, viscA4_Z, viscA4_D, |
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I harmonic, biharmonic, useVariableViscosity, |
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O uDissip, vDissip, |
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I myThid ) |
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|
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IMPLICIT NONE |
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|
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C Calculate horizontal dissipation terms |
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C [del^2 - del^4] (u,v) |
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|
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C == Global variables == |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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|
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C == Routine arguments == |
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INTEGER bi, bj, k |
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_RL hDiv (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL zStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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LOGICAL harmonic, biharmonic, useVariableViscosity |
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_RL uDissip(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vDissip(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER myThid |
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|
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C == Local variables == |
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INTEGER i, j |
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_RL Zip, Zij, Zpj, Dim, Dij, Dmj, uD2, vD2, uD4, vD4 |
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_RL Zip1, Zij1, Zpj1 |
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|
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C - Laplacian terms |
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IF (harmonic) THEN |
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C This bit scales the harmonic dissipation operator to be proportional |
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C to the grid-cell area over the time-step. viscAh is then non-dimensional |
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C and should be less than 1/8, for example viscAh=0.01 |
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IF (useVariableViscosity) THEN |
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DO j=2-OLy,sNy+OLy-1 |
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DO i=2-OLx,sNx+OLx-1 |
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|
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Dij=hDiv( i , j )*viscAh_D(i,j) |
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Dim=hDiv( i ,j-1)*viscAh_D(i,j-1) |
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Dmj=hDiv(i-1, j )*viscAh_D(i-1,j) |
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Zij=hFacZ( i , j )*vort3( i , j )*viscAh_Z(i,j) |
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Zip=hFacZ( i ,j+1)*vort3( i ,j+1)*viscAh_Z(i,j+1) |
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Zpj=hFacZ(i+1, j )*vort3(i+1, j )*viscAh_Z(i+1,j) |
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|
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uD2 = ( |
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& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
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& -_recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )*recip_DYG(i,j,bi,bj) ) |
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#ifdef ISOTROPIC_COS_SCALING |
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& *cosFacU(j,bi,bj) |
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#endif /* ISOTROPIC_COS_SCALING */ |
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vD2 = ( |
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& _recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
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& *cosFacV(j,bi,bj) |
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& +( Dij-Dim )*recip_DYC(i,j,bi,bj) ) |
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#ifdef ISOTROPIC_COS_SCALING |
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& *cosFacV(j,bi,bj) |
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#endif /* ISOTROPIC_COS_SCALING */ |
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|
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uDissip(i,j) = uD2 |
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vDissip(i,j) = vD2 |
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|
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ENDDO |
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ENDDO |
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ELSE |
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DO j=2-OLy,sNy+OLy-1 |
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DO i=2-OLx,sNx+OLx-1 |
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|
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Dim=hDiv( i ,j-1) |
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Dij=hDiv( i , j ) |
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Dmj=hDiv(i-1, j ) |
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Zip=hFacZ( i ,j+1)*vort3( i ,j+1) |
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Zij=hFacZ( i , j )*vort3( i , j ) |
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Zpj=hFacZ(i+1, j )*vort3(i+1, j ) |
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|
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uD2 = viscAhD* |
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& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
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& - viscAhZ*_recip_hFacW(i,j,k,bi,bj)* |
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& ( Zip-Zij )*recip_DYG(i,j,bi,bj) |
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#ifdef ISOTROPIC_COS_SCALING |
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& *cosFacU(j,bi,bj) |
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#endif /* ISOTROPIC_COS_SCALING */ |
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vD2 = viscAhZ*_recip_hFacS(i,j,k,bi,bj)* |
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& cosFacV(j,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
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& + viscAhD* ( Dij-Dim )*recip_DYC(i,j,bi,bj) |
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#ifdef ISOTROPIC_COS_SCALING |
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& *cosFacV(j,bi,bj) |
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#endif /* ISOTROPIC_COS_SCALING */ |
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|
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uDissip(i,j) = uD2 |
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vDissip(i,j) = vD2 |
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|
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ENDDO |
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ENDDO |
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ENDIF |
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ELSE |
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DO j=2-OLy,sNy+OLy-1 |
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DO i=2-OLx,sNx+OLx-1 |
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uDissip(i,j) = 0. |
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vDissip(i,j) = 0. |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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C - Bi-harmonic terms |
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IF (biharmonic) THEN |
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|
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C This bit scales the harmonic dissipation operator to be proportional |
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C to the grid-cell area over the time-step. viscAh is then non-dimensional |
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C and should be less than 1/8, for example viscAh=0.01 |
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IF (useVariableViscosity) THEN |
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DO j=2-OLy,sNy+OLy-1 |
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DO i=2-OLx,sNx+OLx-1 |
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|
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#ifdef MOM_VI_ORIGINAL_VISCA4 |
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Dim=dyF( i ,j-1,bi,bj)*dStar( i ,j-1) |
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Dij=dyF( i , j ,bi,bj)*dStar( i , j ) |
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Dmj=dyF(i-1, j ,bi,bj)*dStar(i-1, j ) |
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|
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Zip1=dxV( i ,j+1,bi,bj)*hFacZ( i ,j+1)*zStar( i ,j+1) |
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Zij1=dxV( i , j ,bi,bj)*hFacZ( i , j )*zStar( i , j ) |
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Zpj1=dxV(i+1, j ,bi,bj)*hFacZ(i+1, j )*zStar(i+1, j ) |
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#else |
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Dim=dStar( i ,j-1) |
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Dij=dStar( i , j ) |
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Dmj=dStar(i-1, j ) |
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|
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Zip1=hFacZ( i ,j+1)*zStar( i ,j+1) |
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Zij1=hFacZ( i , j )*zStar( i , j ) |
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Zpj1=hFacZ(i+1, j )*zStar(i+1, j ) |
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#endif |
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Dij=Dij*viscA4_D(i,j) |
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Dim=Dim*viscA4_D(i,j-1) |
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Dmj=Dmj*viscA4_D(i-1,j) |
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Zij=Zij1*viscA4_Z(i,j) |
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Zip=Zip1*viscA4_Z(i,j+1) |
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Zpj=Zpj1*viscA4_Z(i+1,j) |
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|
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#ifdef MOM_VI_ORIGINAL_VISCA4 |
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uD4 = recip_rAw(i,j,bi,bj)*( |
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& ( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
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& -_recip_hFacW(i,j,k,bi,bj)*( Zip-Zij ) |
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# ifdef ISOTROPIC_COS_SCALING |
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& *cosFacU(j,bi,bj) |
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# endif /* ISOTROPIC_COS_SCALING */ |
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& ) |
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vD4 = recip_rAs(i,j,bi,bj)*( |
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& _recip_hFacS(i,j,k,bi,bj)*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
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& + ( Dij-Dim ) |
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# ifdef ISOTROPIC_COS_SCALING |
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& *cosFacV(j,bi,bj) |
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# endif /* ISOTROPIC_COS_SCALING */ |
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& ) |
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#else /* MOM_VI_ORIGINAL_VISCA4 */ |
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uD4 = ( |
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& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
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& -_recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )*recip_DYG(i,j,bi,bj) ) |
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# ifdef ISOTROPIC_COS_SCALING |
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& *cosFacU(j,bi,bj) |
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# endif /* ISOTROPIC_COS_SCALING */ |
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vD4 = ( |
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& _recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
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& *cosFacV(j,bi,bj) |
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& +( Dij-Dim )*recip_DYC(i,j,bi,bj) ) |
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# ifdef ISOTROPIC_COS_SCALING |
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& *cosFacV(j,bi,bj) |
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# endif /* ISOTROPIC_COS_SCALING */ |
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#endif /* MOM_VI_ORIGINAL_VISCA4 */ |
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|
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uDissip(i,j) = uDissip(i,j) - uD4 |
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vDissip(i,j) = vDissip(i,j) - vD4 |
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|
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ENDDO |
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ENDDO |
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ELSE |
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DO j=2-OLy,sNy+OLy-1 |
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DO i=2-OLx,sNx+OLx-1 |
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|
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#ifdef MOM_VI_ORIGINAL_VISCA4 |
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Dim=dyF( i ,j-1,bi,bj)*dStar( i ,j-1) |
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Dij=dyF( i , j ,bi,bj)*dStar( i , j ) |
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Dmj=dyF(i-1, j ,bi,bj)*dStar(i-1, j ) |
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|
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Zip1=dxV( i ,j+1,bi,bj)*hFacZ( i ,j+1)*zStar( i ,j+1) |
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Zij1=dxV( i , j ,bi,bj)*hFacZ( i , j )*zStar( i , j ) |
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Zpj1=dxV(i+1, j ,bi,bj)*hFacZ(i+1, j )*zStar(i+1, j ) |
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#else |
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Dim=dStar( i ,j-1) |
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Dij=dStar( i , j ) |
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Dmj=dStar(i-1, j ) |
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|
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Zip1=hFacZ( i ,j+1)*zStar( i ,j+1) |
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Zij1=hFacZ( i , j )*zStar( i , j ) |
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Zpj1=hFacZ(i+1, j )*zStar(i+1, j ) |
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#endif |
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Zij=Zij1 |
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Zip=Zip1 |
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Zpj=Zpj1 |
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|
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#ifdef MOM_VI_ORIGINAL_VISCA4 |
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uD4 = recip_rAw(i,j,bi,bj)*( |
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& viscA4D*( Dij-Dmj )*cosFacU(j,bi,bj) |
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& -_recip_hFacW(i,j,k,bi,bj)*viscA4Z*( Zip-Zij ) |
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# ifdef ISOTROPIC_COS_SCALING |
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& *cosFacU(j,bi,bj) |
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# endif /* ISOTROPIC_COS_SCALING */ |
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& ) |
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vD4 = recip_rAs(i,j,bi,bj)*( |
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& _recip_hFacS(i,j,k,bi,bj)*viscA4Z*( Zpj-Zij )*cosFacV(j,bi,bj) |
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& + viscA4D*( Dij-Dim ) |
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# ifdef ISOTROPIC_COS_SCALING |
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& *cosFacV(j,bi,bj) |
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# endif /* ISOTROPIC_COS_SCALING */ |
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& ) |
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#else /* MOM_VI_ORIGINAL_VISCA4 */ |
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uD4 = viscA4D* |
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& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
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& - viscA4Z*_recip_hFacW(i,j,k,bi,bj)* |
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& ( Zip-Zij )*recip_DYG(i,j,bi,bj) |
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# ifdef ISOTROPIC_COS_SCALING |
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& *cosFacU(j,bi,bj) |
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# endif /* ISOTROPIC_COS_SCALING */ |
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vD4 = viscA4Z*_recip_hFacS(i,j,k,bi,bj)* |
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& cosFacV(j,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
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& + viscA4D* ( Dij-Dim )*recip_DYC(i,j,bi,bj) |
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# ifdef ISOTROPIC_COS_SCALING |
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& *cosFacV(j,bi,bj) |
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# endif /* ISOTROPIC_COS_SCALING */ |
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#endif /* MOM_VI_ORIGINAL_VISCA4 */ |
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|
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uDissip(i,j) = uDissip(i,j) - uD4 |
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vDissip(i,j) = vDissip(i,j) - vD4 |
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|
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ENDDO |
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ENDDO |
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ENDIF |
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ENDIF |
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|
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IF ( harmonic .OR. biharmonic ) THEN |
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DO j=1-OLy,sNy+OLy-1 |
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DO i=1-OLx,sNx+OLx-1 |
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uDissip(i,j) = uDissip(i,j)*maskW(i,j,k,bi,bj) |
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& *recip_deepFacC(k) |
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vDissip(i,j) = vDissip(i,j)*maskS(i,j,k,bi,bj) |
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& *recip_deepFacC(k) |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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RETURN |
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END |
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