C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vi_hdissip.F,v 1.36 2015/09/10 18:08:51 jmc Exp $ C $Name: $ #include "MOM_VECINV_OPTIONS.h" SUBROUTINE MOM_VI_HDISSIP( I bi, bj, k, I hDiv, vort3, dStar, zStar, hFacZ, I viscAh_Z, viscAh_D, viscA4_Z, viscA4_D, I harmonic, biharmonic, useVariableViscosity, O uDissip, vDissip, I myThid ) IMPLICIT NONE C Calculate horizontal dissipation terms C [del^2 - del^4] (u,v) C == Global variables == #include "SIZE.h" #include "EEPARAMS.h" #include "PARAMS.h" #include "GRID.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 dStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL zStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RS hFacZ(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 _RL uDissip(1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL vDissip(1-OLx:sNx+OLx,1-OLy:sNy+OLy) 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 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 DO j=2-OLy,sNy+OLy-1 DO i=2-OLx,sNx+OLx-1 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 */ 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 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 */ uDissip(i,j) = uD2 vDissip(i,j) = vD2 ENDDO ENDDO ENDIF 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 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 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 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 /* 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 */ #endif /* MOM_VI_ORIGINAL_VISCA4 */ uDissip(i,j) = uDissip(i,j) - uD4 vDissip(i,j) = vDissip(i,j) - vD4 ENDDO ENDDO ELSE 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 Zij=Zij1 Zip=Zip1 Zpj=Zpj1 #ifdef MOM_VI_ORIGINAL_VISCA4 uD4 = recip_rAw(i,j,bi,bj)*( & viscA4D*( Dij-Dmj )*cosFacU(j,bi,bj) & -_recip_hFacW(i,j,k,bi,bj)*viscA4Z*( 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)*viscA4Z*( Zpj-Zij )*cosFacV(j,bi,bj) & + viscA4D*( Dij-Dim ) # ifdef ISOTROPIC_COS_SCALING & *cosFacV(j,bi,bj) # endif /* ISOTROPIC_COS_SCALING */ & ) #else /* MOM_VI_ORIGINAL_VISCA4 */ 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 */ uDissip(i,j) = uDissip(i,j) - uD4 vDissip(i,j) = vDissip(i,j) - vD4 ENDDO ENDDO ENDIF ENDIF IF ( harmonic .OR. biharmonic ) THEN DO j=1-OLy,sNy+OLy-1 DO i=1-OLx,sNx+OLx-1 uDissip(i,j) = uDissip(i,j)*maskW(i,j,k,bi,bj) & *recip_deepFacC(k) vDissip(i,j) = vDissip(i,j)*maskS(i,j,k,bi,bj) & *recip_deepFacC(k) ENDDO ENDDO ENDIF RETURN END