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C !ROUTINE: GAD_DST2U1_ADV_R |
C !ROUTINE: GAD_DST2U1_ADV_R |
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C !INTERFACE: ========================================================== |
C !INTERFACE: ========================================================== |
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SUBROUTINE GAD_DST2U1_ADV_R( |
SUBROUTINE GAD_DST2U1_ADV_R( |
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I bi,bj,k, advectionScheme, |
I bi,bj,k, advectionScheme, |
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I deltaTloc, rTrans, wVel, |
I deltaTloc, rTrans, wFld, |
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I tracer, |
I tracer, |
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O wT, |
O wT, |
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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 vertical flux due to advection |
C Calculates the area integrated vertical 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 or 1rst Order Upwind |
C or 1rst Order Upwind |
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C deltaTloc :: local time-step (s) |
C deltaTloc :: local time-step (s) |
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C rTrans :: vertical volume transport |
C rTrans :: vertical volume transport |
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C wVel :: vertical flow |
C wFld :: vertical 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 |
INTEGER bi,bj,k |
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INTEGER advectionScheme |
INTEGER advectionScheme |
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_RL deltaTloc |
_RL deltaTloc |
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_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL wVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
_RL wFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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INTEGER myThid |
INTEGER myThid |
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C i,j :: loop indices |
C i,j :: loop indices |
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C km1 :: =max( k-1 , 1 ) |
C km1 :: =max( k-1 , 1 ) |
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C rLimit :: centered (vs upwind) fraction |
C rLimit :: centered (vs upwind) fraction |
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C wFld :: velocity, vertical component |
C wLoc :: velocity, vertical component |
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C wCFL :: Courant-Friedrich-Levy number |
C wCFL :: Courant-Friedrich-Levy number |
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INTEGER i,j,km1 |
INTEGER i,j,km1 |
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_RL wFld, wCFL, rLimit |
_RL wLoc, wCFL, rLimit, wAbs |
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CEOP |
CEOP |
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rLimit = 0. _d 0 |
rLimit = 0. _d 0 |
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DO j=1-Oly,sNy+Oly |
DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
DO i=1-Olx,sNx+Olx |
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c wFld = wVel(i,j,k,bi,bj) |
wLoc = wFld(i,j) |
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wFld = rTrans(i,j)*recip_rA(i,j,bi,bj) |
c wLoc = rTrans(i,j)*recip_rA(i,j,bi,bj) |
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wCFL = ABS(wFld*deltaTloc*recip_drC(k)) |
wCFL = ABS(wLoc*deltaTloc*recip_drC(k)) |
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wT(i,j) = maskC(i,j,kM1,bi,bj)*( |
c wT(i,j) = maskC(i,j,km1,bi,bj)*( |
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& rTrans(i,j)*(Tracer(i,j,km1)+Tracer(i,j,k))*0.5 _d 0 |
c & rTrans(i,j)*(tracer(i,j,km1)+tracer(i,j,k))*0.5 _d 0 |
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& + ( 1. _d 0 - rLimit*(1. _d 0 - wCFL) )*ABS(rTrans(i,j)) |
c & + ( 1. _d 0 - rLimit*(1. _d 0 - wCFL) )*ABS(rTrans(i,j)) |
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& *(tracer(i,j,km1)-tracer(i,j,k))*0.5 _d 0*rkSign |
c & *(tracer(i,j,km1)-tracer(i,j,k))*0.5 _d 0*rkSign |
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c & ) |
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C-- above formulation produces large truncation error when: |
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C 1rst.O upWind and w*rkSign > 0 & |tracer(k-1)| << |tracer(k)| |
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C or w*rkSign < 0 & |tracer(k-1)| >> |tracer(k)| |
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C-- change to a more robust expression: |
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wAbs = ABS(rTrans(i,j))*rkSign |
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& *( 1. _d 0 - rLimit*(1. _d 0 - wCFL) ) |
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wT(i,j) = maskC(i,j,km1,bi,bj)*( |
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& ( rTrans(i,j)+wAbs )* 0.5 _d 0 * tracer(i,j,km1) |
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& + ( rTrans(i,j)-wAbs )* 0.5 _d 0 * tracer(i,j,k) |
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& ) |
& ) |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |