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dimitri |
1.5 |
C $Header: /usr/local/gcmpack/MITgcm/pkg/mom_vecinv/mom_vi_hdissip.F,v 1.4 2004/02/07 16:27:19 adcroft Exp $ |
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jmc |
1.3 |
C $Name: $ |
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adcroft |
1.2 |
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#include "CPP_OPTIONS.h" |
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SUBROUTINE MOM_VI_HDISSIP( |
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I bi,bj,k, |
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I hDiv,vort3,hFacZ,dStar,zStar, |
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O uDissip,vDissip, |
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I myThid) |
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IMPLICIT NONE |
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C |
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C Calculate horizontal dissipation terms |
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C [del^2 - del^4] (u,v) |
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C |
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C == Global variables == |
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#include "SIZE.h" |
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#include "GRID.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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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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_RS hFacZ(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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_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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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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C - Laplacian and bi-harmonic terms |
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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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c Dim=dyF( i ,j-1,bi,bj)*hFacC( i ,j-1,k,bi,bj)*hDiv( i ,j-1) |
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c Dij=dyF( i , j ,bi,bj)*hFacC( i , j ,k,bi,bj)*hDiv( i , j ) |
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c Dmj=dyF(i-1, j ,bi,bj)*hFacC(i-1, j ,k,bi,bj)*hDiv(i-1, j ) |
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c Dim=dyF( i ,j-1,bi,bj)* hDiv( i ,j-1) |
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c Dij=dyF( i , j ,bi,bj)* hDiv( i , j ) |
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c Dmj=dyF(i-1, j ,bi,bj)* hDiv(i-1, j ) |
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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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c Zip=dxV( i ,j+1,bi,bj)*hFacZ( i ,j+1)*vort3( i ,j+1) |
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c Zij=dxV( i , j ,bi,bj)*hFacZ( i , j )*vort3( i , j ) |
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c Zpj=dxV(i+1, j ,bi,bj)*hFacZ(i+1, j )*vort3(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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adcroft |
1.4 |
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 (viscAhGrid*deltaTmom.NE.0.) then |
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Dij=Dij* |
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& min(viscAh+viscAhGrid*rA ( i , j ,bi,bj)/deltaTmom,viscAhMax) |
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Dim=Dim* |
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& min(viscAh+viscAhGrid*rA ( i ,j-1,bi,bj)/deltaTmom,viscAhMax) |
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Dmj=Dmj* |
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& min(viscAh+viscAhGrid*rA (i-1, j ,bi,bj)/deltaTmom,viscAhMax) |
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Zij=Zij* |
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& min(viscAh+viscAhGrid*rAz( i , j ,bi,bj)/deltaTmom,viscAhMax) |
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Zip=Zip* |
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& min(viscAh+viscAhGrid*rAz( i ,j+1,bi,bj)/deltaTmom,viscAhMax) |
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Zpj=Zpj* |
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& min(viscAh+viscAhGrid*rAz(i+1, j ,bi,bj)/deltaTmom,viscAhMax) |
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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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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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else |
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adcroft |
1.2 |
c uD2 = recip_rAw(i,j,bi,bj)*( |
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c & recip_hFacW(i,j,k,bi,bj)*viscAh*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
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c & -recip_hFacW(i,j,k,bi,bj)*viscAh*( Zip-Zij ) ) |
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c uD2 = recip_rAw(i,j,bi,bj)*( |
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c & viscAh*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
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c & -recip_hFacW(i,j,k,bi,bj)*viscAh*( Zip-Zij ) ) |
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adcroft |
1.4 |
uD2 = viscAh*( |
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adcroft |
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& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
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jmc |
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& -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )*recip_DYG(i,j,bi,bj) ) |
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adcroft |
1.2 |
c vD2 = recip_rAs(i,j,bi,bj)*( |
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c & recip_hFacS(i,j,k,bi,bj)*viscAh*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
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c & +recip_hFacS(i,j,k,bi,bj)*viscAh*( Dij-Dim ) ) |
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c vD2 = recip_rAs(i,j,bi,bj)*( |
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c & recip_hFacS(i,j,k,bi,bj)*viscAh*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
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c & + viscAh*( Dij-Dim ) ) |
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dimitri |
1.5 |
vD2 = viscAh*( |
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jmc |
1.3 |
& recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
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adcroft |
1.2 |
& *cosFacV(j,bi,bj) |
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& +( Dij-Dim )*recip_DYC(i,j,bi,bj) ) |
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adcroft |
1.4 |
endif |
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adcroft |
1.2 |
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c Dim=dyF( i ,j-1,bi,bj)*hFacC( i ,j-1,k,bi,bj)*dStar( i ,j-1) |
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c Dij=dyF( i , j ,bi,bj)*hFacC( i , j ,k,bi,bj)*dStar( i , j ) |
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c Dmj=dyF(i-1, j ,bi,bj)*hFacC(i-1, j ,k,bi,bj)*dStar(i-1, j ) |
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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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Zip=dxV( i ,j+1,bi,bj)*hFacZ( i ,j+1)*zStar( i ,j+1) |
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Zij=dxV( i , j ,bi,bj)*hFacZ( i , j )*zStar( i , j ) |
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Zpj=dxV(i+1, j ,bi,bj)*hFacZ(i+1, j )*zStar(i+1, j ) |
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adcroft |
1.4 |
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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dimitri |
1.5 |
if (viscA4Grid*deltaTmom.NE.0.) then |
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adcroft |
1.4 |
Dij = Dij * min( |
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& viscA4+viscA4Grid*(rA ( i , j ,bi,bj)**2)/deltaTmom, |
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& viscA4Max) |
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Dim = Dim * min( |
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& viscA4+viscA4Grid*(rA ( i ,j-1,bi,bj)**2)/deltaTmom, |
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& viscA4Max) |
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Dmj = Dmj * min( |
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& viscA4+viscA4Grid*(rA (i-1, j ,bi,bj)**2)/deltaTmom, |
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& viscA4Max) |
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Zij = Zij * min( |
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& viscA4+viscA4Grid*(rAz( i , j ,bi,bj)**2)/deltaTmom, |
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& viscA4Max) |
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Zip = Zip * min( |
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& viscA4+viscA4Grid*(rAz( i ,j+1,bi,bj)**2)/deltaTmom, |
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& viscA4Max) |
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Zpj = Zpj * min( |
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& viscA4+viscA4Grid*(rAz(i+1, j ,bi,bj)**2)/deltaTmom, |
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& viscA4Max) |
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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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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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else |
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adcroft |
1.2 |
c uD4 = recip_rAw(i,j,bi,bj)*( |
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c & recip_hFacW(i,j,k,bi,bj)*viscA4*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
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c & -recip_hFacW(i,j,k,bi,bj)*viscA4*( Zip-Zij ) ) |
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adcroft |
1.4 |
uD4 = recip_rAw(i,j,bi,bj)*( |
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adcroft |
1.2 |
& viscA4*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
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& -recip_hFacW(i,j,k,bi,bj)*viscA4*( Zip-Zij ) ) |
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c vD4 = recip_rAs(i,j,bi,bj)*( |
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c & recip_hFacS(i,j,k,bi,bj)*viscA4*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
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c & +recip_hFacS(i,j,k,bi,bj)*viscA4*( Dij-Dim ) ) |
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adcroft |
1.4 |
vD4 = recip_rAs(i,j,bi,bj)*( |
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adcroft |
1.2 |
& recip_hFacS(i,j,k,bi,bj)*viscA4*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
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& + viscA4*( Dij-Dim ) ) |
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adcroft |
1.4 |
endif |
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adcroft |
1.2 |
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uDissip(i,j) = uD2 - uD4 |
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vDissip(i,j) = vD2 - vD4 |
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ENDDO |
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ENDDO |
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RETURN |
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END |
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