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adcroft |
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C $Header: $ |
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#include "GMREDI_OPTIONS.h" |
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CStartOfInterface |
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SUBROUTINE GMREDI_SLOPE_LIMIT( |
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I dSigmadRReal, |
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I depthZ, |
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U SlopeX, SlopeY, |
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O dRdSigmaLtd, |
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I bi,bj, myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE GMREDI_SLOPE_LIMIT | |
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C | o Calculate slopes for use in GM/Redi tensor | |
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C |==========================================================| |
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C | On entry: | |
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C | dSigmadRReal conatins the d/dz Sigma | |
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C | SlopeX/Y contains X/Y gradients of sigma | |
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C | depthZ conatins the height (m) of level | |
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C | On exit: | |
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C | SlopeX/Y contains X/Y slopes | |
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C | dRdSigmaLtd conatins the effective dSig/dz | |
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C \==========================================================/ |
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IMPLICIT NONE |
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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 "GMREDI.h" |
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#include "PARAMS.h" |
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C == Routine arguments == |
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C |
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_RL SlopeX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL SlopeY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dSigmaDrReal(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dRdSigmaLtd(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL depthZ |
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INTEGER bi,bj,myThid |
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CEndOfInterface |
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#ifdef ALLOW_GMREDI |
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C == Local variables == |
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_RL Small_Number |
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PARAMETER(Small_Number=1.E-12) |
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_RL gradSmod,stratLimit,f1,Smod,f2,Rnondim,Cspd,Lrho |
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_RL dSigmaDrLtd |
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_RL fpi |
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PARAMETER(fpi=3.141592653589793047592) |
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INTEGER i,j |
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if (GM_taper_scheme.EQ.'orig') then |
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C- Original implementation in mitgcmuv |
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C (this turns out to be the same as Cox slope clipping) |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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gradSmod=SlopeX(i,j)*SlopeX(i,j) |
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& +SlopeY(i,j)*SlopeY(i,j) |
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if (gradSmod .NE. 0.) gradSmod=sqrt(gradSmod) |
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stratLimit=-Small_Number-gradSmod*GM_rMaxSlope |
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if (dSigmaDrReal(i,j).LT.stratLimit) then |
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dSigmaDrLtd=dSigmaDrReal(i,j) |
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else |
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dSigmaDrLtd=stratLimit |
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endif |
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dRdSigmaLtd(i,j)=1./dSigmaDrLtd |
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SlopeX(i,j)=-SlopeX(i,j)*dRdSigmaLtd(i,j) |
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SlopeY(i,j)=-SlopeY(i,j)*dRdSigmaLtd(i,j) |
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ENDDO |
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ENDDO |
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elseif (GM_taper_scheme.EQ.'clipping') then |
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C- Cox 1987 "Slope clipping" |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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gradSmod=SlopeX(i,j)*SlopeX(i,j) |
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& +SlopeY(i,j)*SlopeY(i,j) |
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if (gradSmod .NE. 0.) gradSmod=sqrt(gradSmod) |
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dSigmaDrLtd=-(Small_Number+gradSmod*GM_rMaxSlope) |
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if (dSigmaDrReal(i,j).LT.dSigmaDrLtd) |
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& dSigmaDrLtd=dSigmaDrReal(i,j) |
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dRdSigmaLtd(i,j)=1./dSigmaDrLtd |
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SlopeX(i,j)=-SlopeX(i,j)*dRdSigmaLtd(i,j) |
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SlopeY(i,j)=-SlopeY(i,j)*dRdSigmaLtd(i,j) |
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ENDDO |
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ENDDO |
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elseif (GM_taper_scheme.EQ.'gkw91') then |
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C- Gerdes, Koberle and Willebrand, Clim. Dyn. 1991 |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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gradSmod=SlopeX(i,j)*SlopeX(i,j) |
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& +SlopeY(i,j)*SlopeY(i,j) |
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if (gradSmod .NE. 0.) gradSmod=sqrt(gradSmod) |
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dSigmaDrLtd=dSigmaDrReal(i,j) |
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if (dSigmaDrLtd.NE.0.) then |
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dRdSigmaLtd(i,j)=1./dSigmaDrLtd |
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else |
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dRdSigmaLtd(i,j)=0. |
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endif |
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if (gradSmod.LE.GM_maxSlope*abs(dSigmaDrReal(i,j))) then |
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C If the slope is < Smax then calculate slopes properly |
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SlopeX(i,j)=-SlopeX(i,j)*dRdSigmaLtd(i,j) |
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SlopeY(i,j)=-SlopeY(i,j)*dRdSigmaLtd(i,j) |
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else |
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C If the slope is > Smax then taper slopes |
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SlopeX(i,j)=-SlopeX(i,j)*dSigmaDrLtd |
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& *((GM_maxSlope/gradSmod)**2) |
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SlopeY(i,j)=-SlopeY(i,j)*dSigmaDrLtd |
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& *((GM_maxSlope/gradSmod)**2) |
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endif |
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ENDDO |
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ENDDO |
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elseif (GM_taper_scheme.EQ.'dm95') then |
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C- Danabasoglu and McWilliams, J. Clim. 1995 |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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dSigmaDrLtd=dSigmaDrReal(i,j) |
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if (dSigmaDrLtd.NE.0.) then |
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dRdSigmaLtd(i,j)=1./dSigmaDrLtd |
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else |
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dRdSigmaLtd(i,j)=0. |
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endif |
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SlopeX(i,j)=-SlopeX(i,j)*dRdSigmaLtd(i,j) |
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SlopeY(i,j)=-SlopeY(i,j)*dRdSigmaLtd(i,j) |
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Smod=SlopeX(i,j)*SlopeX(i,j)+SlopeY(i,j)*SlopeY(i,j) |
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if (Smod.NE.0.) Smod=sqrt(Smod) |
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f1=0.5*(1.+tanh( (GM_Scrit-Smod)/GM_Sd )) |
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SlopeX(i,j)=SlopeX(i,j)*f1 |
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SlopeY(i,j)=SlopeY(i,j)*f1 |
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ENDDO |
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ENDDO |
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elseif (GM_taper_scheme.EQ.'ldd97') then |
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C- Large, Danabasoglu and Doney, JPO 1997 |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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dSigmaDrLtd=dSigmaDrReal(i,j) |
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if (dSigmaDrLtd.NE.0.) then |
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dRdSigmaLtd(i,j)=1./dSigmaDrLtd |
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else |
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dRdSigmaLtd(i,j)=0. |
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endif |
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SlopeX(i,j)=-SlopeX(i,j)*dRdSigmaLtd(i,j) |
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SlopeY(i,j)=-SlopeY(i,j)*dRdSigmaLtd(i,j) |
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Smod=SlopeX(i,j)*SlopeX(i,j)+SlopeY(i,j)*SlopeY(i,j) |
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if (Smod.NE.0.) Smod=sqrt(Smod) |
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f1=0.5*(1.+tanh( (GM_Scrit-Smod)/GM_Sd )) |
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Cspd=2. |
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Lrho=100.e3 |
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if (FCori(i,j,bi,bj).NE.0.) Lrho=Cspd/abs(Fcori(i,j,bi,bj)) |
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Lrho=min(Lrho,100.e3) |
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Lrho=max(Lrho,15.e3) |
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if (Smod.NE.0.) then |
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Rnondim=depthZ/(Lrho*Smod) |
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else |
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Rnondim=0. |
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endif |
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f2=0.5*(1.+sin( fpi*(Rnondim-0.5))) |
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SlopeX(i,j)=SlopeX(i,j)*f1 |
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SlopeY(i,j)=SlopeY(i,j)*f1 |
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ENDDO |
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ENDDO |
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elseif (GM_taper_scheme.EQ.' ') then |
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C- No tapering/clipping selected so ... |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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dSigmaDrLtd=dSigmaDrReal(i,j) |
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if (dSigmaDrLtd.NE.0.) then |
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dRdSigmaLtd(i,j)=1./dSigmaDrLtd |
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else |
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dRdSigmaLtd(i,j)=0. |
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endif |
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SlopeX(i,j)=-SlopeX(i,j)*dRdSigmaLtd(i,j) |
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SlopeY(i,j)=-SlopeY(i,j)*dRdSigmaLtd(i,j) |
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ENDDO |
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ENDDO |
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endif |
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#endif /* ALLOW_GMREDI */ |
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RETURN |
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END |
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