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C !ROUTINE: GAD_DST2U1_ADV_Y |
C !ROUTINE: GAD_DST2U1_ADV_Y |
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C !INTERFACE: ========================================================== |
C !INTERFACE: ========================================================== |
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SUBROUTINE GAD_DST2U1_ADV_Y( |
SUBROUTINE GAD_DST2U1_ADV_Y( |
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I bi,bj,k, advectionScheme, deltaTloc, |
I bi,bj,k, advectionScheme, deltaTloc, |
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I vTrans, vVel, |
I vTrans, vFld, |
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I tracer, |
I tracer, |
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O vT, |
O vT, |
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I myThid ) |
I myThid ) |
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C !DESCRIPTION: |
C !DESCRIPTION: |
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C Calculates the area integrated meridional flux due to advection |
C Calculates the area integrated meridional flux due to advection |
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C of a tracer using second-order Direct Space and Time (DST-2) |
C of a tracer using second-order Direct Space and Time (DST-2) |
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C interpolation (=Lax-Wendroff) or simple 1rst order upwind scheme. |
C interpolation (=Lax-Wendroff) or simple 1rst order upwind scheme. |
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C !USES: =============================================================== |
C !USES: =============================================================== |
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C advectionScheme :: advection scheme to use: either 2nd Order DST |
C advectionScheme :: advection scheme to use: either 2nd Order DST |
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C or 1rst Order Upwind |
C or 1rst Order Upwind |
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C vTrans :: meridional volume transport |
C vTrans :: meridional volume transport |
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C vVel :: meridional flow |
C vFld :: meridional flow |
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C tracer :: tracer field |
C tracer :: tracer field |
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C myThid :: thread number |
C myThid :: thread number |
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INTEGER bi,bj, k, advectionScheme |
INTEGER bi,bj, k, advectionScheme |
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_RL deltaTloc |
_RL deltaTloc |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
_RL vFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER myThid |
INTEGER myThid |
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C !LOCAL VARIABLES: ==================================================== |
C !LOCAL VARIABLES: ==================================================== |
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C i,j :: loop indices |
C i,j :: loop indices |
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C yLimit :: centered (vs upwind) fraction |
C yLimit :: centered (vs upwind) fraction |
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C vFld :: velocity [m/s], meridional component |
C vLoc :: velocity [m/s], meridional component |
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C vCFL :: Courant-Friedrich-Levy number |
C vCFL :: Courant-Friedrich-Levy number |
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INTEGER i,j |
INTEGER i,j |
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_RL vFld, vCFL, yLimit |
_RL vLoc, vCFL, yLimit, vAbs |
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CEOP |
CEOP |
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yLimit = 0. _d 0 |
yLimit = 0. _d 0 |
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DO j=1-Oly+1,sNy+Oly |
DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
DO i=1-Olx,sNx+Olx |
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c vFld = vVel(i,j,k,bi,bj) |
vLoc = vFld(i,j) |
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vFld = vTrans(i,j)*recip_dxG(i,j,bi,bj) |
c vLoc = vTrans(i,j)*recip_dxG(i,j,bi,bj) |
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& *recip_drF(k)*_recip_hFacS(i,j,k,bi,bj) |
c & *recip_drF(k)*_recip_hFacS(i,j,k,bi,bj) |
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vCFL = ABS(vFld*deltaTloc*recip_dyC(i,j,bi,bj)) |
vCFL = ABS(vLoc*deltaTloc*recip_dyC(i,j,bi,bj)) |
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vT(i,j) = |
c vT(i,j) = |
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& vTrans(i,j)*(Tracer(i,j-1)+Tracer(i,j))*0.5 _d 0 |
c & vTrans(i,j)*(tracer(i,j-1)+tracer(i,j))*0.5 _d 0 |
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& + ( 1. _d 0 - yLimit*(1. _d 0 - vCFL) )*ABS(vTrans(i,j)) |
c & + ( 1. _d 0 - yLimit*(1. _d 0 - vCFL) )*ABS(vTrans(i,j)) |
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& *(tracer(i,j-1)-tracer(i,j))*0.5 _d 0 |
c & *(tracer(i,j-1)-tracer(i,j))*0.5 _d 0 |
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C-- above formulation produces large truncation error when: |
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C 1rst.O upWind and v > 0 & |tracer(i,j-1)| << |tracer(i,j)| |
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C or v < 0 & |tracer(i,j-1)| >> |tracer(i,j)| |
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C-- change to a more robust expression: |
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vAbs = ABS(vTrans(i,j)) |
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& *( 1. _d 0 - yLimit*(1. _d 0 - vCFL) ) |
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vT(i,j) = ( vTrans(i,j)+vAbs )* 0.5 _d 0 * tracer(i,j-1) |
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& + ( vTrans(i,j)-vAbs )* 0.5 _d 0 * tracer(i,j) |
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84 |
ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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