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heimbach |
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C $Header: /u/gcmpack/MITgcm/pkg/gmredi/gmredi_slope_psi.F,v 1.1 2001/12/16 18:54:49 jmc Exp $ |
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jmc |
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C $Name: $ |
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#include "GMREDI_OPTIONS.h" |
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CStartOfInterface |
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SUBROUTINE GMREDI_SLOPE_PSI_B( |
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I dSigmaDrW,dSigmaDrS, |
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I depthZ, |
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U SlopeX, SlopeY, |
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O taperX, taperY, |
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I bi,bj, myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE GMREDI_SLOPE_PSI_B | |
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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 | dSigmaDrW 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 | dSigmaDrW conatins the effective dSig/dz | |
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C | SlopeX/Y contains X/Y slopes | |
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C | taperFct contains tapering funct. value ; | |
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C | = 1 when using no tapering | |
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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 dSigmaDrW(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dSigmaDrS(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL taperX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL taperY(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.D-12) |
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_RL gradSmod,f1,Smod,f2,Rnondim,Cspd,Lrho |
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_RL dSigmaDrLtd, dRdSigmaLtd |
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_RL maxSlopeSqr |
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_RL fpi |
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PARAMETER(fpi=3.141592653589793047592d0) |
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INTEGER i,j |
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IF (GM_taper_scheme.EQ.'orig' .OR. |
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& GM_taper_scheme.EQ.'clipping') 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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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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c gradSmod=SlopeX(i,j)*SlopeX(i,j) |
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c & +SlopeY(i,j)*SlopeY(i,j) |
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c if (gradSmod .NE. 0.) gradSmod=sqrt(gradSmod) |
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gradSmod=abs(SlopeX(i,j)) |
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dSigmaDrLtd = -(Small_Number+gradSmod*GM_rMaxSlope) |
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IF (dSigmaDrW(i,j).GE.dSigmaDrLtd) |
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& dSigmaDrW(i,j) = dSigmaDrLtd |
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SlopeX(i,j) = -SlopeX(i,j)/dSigmaDrW(i,j) |
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gradSmod=abs(SlopeY(i,j)) |
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dSigmaDrLtd = -(Small_Number+gradSmod*GM_rMaxSlope) |
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IF (dSigmaDrS(i,j).GE.dSigmaDrLtd) |
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& dSigmaDrS(i,j) = dSigmaDrLtd |
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SlopeY(i,j) = -SlopeY(i,j)/dSigmaDrS(i,j) |
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taperX(i,j)=1. _d 0 |
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taperY(i,j)=1. _d 0 |
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ENDDO |
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ENDDO |
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ELSE |
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C- Compute the slope, no clipping, but avoid reverse slope in negatively |
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C stratified (Sigma_Z > 0) region : |
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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 = -Small_Number |
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IF (dSigmaDrW(i,j).GE.dSigmaDrLtd) |
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& dSigmaDrW(i,j) = dSigmaDrLtd |
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dRdSigmaLtd = 1./dSigmaDrW(i,j) |
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SlopeX(i,j) = -SlopeX(i,j)/dSigmaDrW(i,j) |
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dSigmaDrLtd = -Small_Number |
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IF (dSigmaDrS(i,j).GE.dSigmaDrLtd) |
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& dSigmaDrS(i,j) = dSigmaDrLtd |
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SlopeY(i,j) = -SlopeY(i,j)/dSigmaDrS(i,j) |
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c SlopeSqr(i,j)=SlopeX(i,j)*SlopeX(i,j) |
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c & +SlopeY(i,j)*SlopeY(i,j) |
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taperX(i,j)=1. _d 0 |
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taperY(i,j)=1. _d 0 |
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ENDDO |
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ENDDO |
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C- Compute the tapering function for the GM+Redi tensor : |
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IF (GM_taper_scheme.EQ.'linear') THEN |
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C- Simplest adiabatic tapering = Smax/Slope (linear) |
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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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IF (abs(SlopeX(i,j)).GT.GM_maxSlope) |
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& taperX(i,j)=GM_maxSlope/abs(SlopeX(i,j)) |
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IF (abs(SlopeY(i,j)).GT.GM_maxSlope) |
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& taperY(i,j)=GM_maxSlope/abs(SlopeY(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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maxSlopeSqr = GM_maxSlope*GM_maxSlope |
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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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IF (abs(SlopeX(i,j)).GT.GM_maxSlope) |
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& taperX(i,j)=maxSlopeSqr/(SlopeX(i,j)*SlopeX(i,j)) |
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IF (abs(SlopeY(i,j)).GT.GM_maxSlope) |
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& taperY(i,j)=maxSlopeSqr/(SlopeY(i,j)*SlopeY(i,j)) |
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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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Smod = abs(SlopeX(i,j)) |
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taperX(i,j)=0.5*(1.+tanh( (GM_Scrit-Smod)/GM_Sd )) |
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Smod = abs(SlopeY(i,j)) |
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taperY(i,j)=0.5*(1.+tanh( (GM_Scrit-Smod)/GM_Sd )) |
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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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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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heimbach |
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Lrho=min(Lrho , 100. _d 3) |
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Lrho=max(Lrho , 15. _d 3) |
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jmc |
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Smod = abs(SlopeX(i,j)) |
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f1=0.5*(1.+tanh( (GM_Scrit-Smod)/GM_Sd )) |
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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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taperX(i,j)=f1*f2 |
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Smod = abs(SlopeY(i,j)) |
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f1=0.5*(1.+tanh( (GM_Scrit-Smod)/GM_Sd )) |
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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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taperY(i,j)=f1*f2 |
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ENDDO |
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ENDDO |
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ELSEIF (GM_taper_scheme.NE.' ') THEN |
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STOP 'GMREDI_SLOPE_PSI: Bad GM_taper_scheme' |
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ENDIF |
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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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