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C $Header: /u/gcmpack/MITgcm/pkg/gmredi/gmredi_slope_limit.F,v 1.18 2003/01/13 19:02:45 jmc Exp $ |
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C $Name: $ |
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|
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#include "GMREDI_OPTIONS.h" |
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|
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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,K, |
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U SlopeX, SlopeY, |
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U dSigmaDx, dSigmaDy, |
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O SlopeSqr, taperFct, |
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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 | dSigmaDrReal conatins the effective dSig/dz | |
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C | SlopeX/Y contains X/Y slopes | |
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C | SlopeSqr contains Sx^2+Sy^2 | |
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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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|
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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 "GMREDI.h" |
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#include "PARAMS.h" |
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#ifdef ALLOW_AUTODIFF_TAMC |
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#include "tamc.h" |
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#include "tamc_keys.h" |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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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 dSigmaDx(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dSigmaDy(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 SlopeSqr(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL taperFct(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL depthZ |
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INTEGER bi,bj,K,myThid |
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CEndOfInterface |
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|
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#ifdef ALLOW_GMREDI |
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|
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C == Local variables == |
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_RL Small_Taper |
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PARAMETER(Small_Taper=1.D+03) |
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|
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_RL gradSmod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dSigmaDrLtd(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 tmpfld(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL f1,Smod,f2,Rnondim,Cspd,Lrho |
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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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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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act1 = bi - myBxLo(myThid) |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
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act2 = bj - myByLo(myThid) |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
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act3 = myThid - 1 |
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max3 = nTx*nTy |
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act4 = ikey_dynamics - 1 |
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ikey = (act1 + 1) + act2*max1 |
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& + act3*max1*max2 |
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& + act4*max1*max2*max3 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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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(i,j) = 0. _d 0 |
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dSigmaDrLtd(i,j) = 0. _d 0 |
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tmpfld(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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|
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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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|
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#ifdef GM_EXCLUDE_CLIPPING |
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|
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STOP 'Need to compile without "#define GM_EXCLUDE_CLIPPING"' |
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|
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#else /* GM_EXCLUDE_CLIPPING */ |
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|
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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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|
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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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tmpfld(i,j) = dSigmaDx(i,j)*dSigmaDx(i,j) + |
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& dSigmaDy(i,j)*dSigmaDy(i,j) |
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IF ( tmpfld(i,j) .EQ. 0. ) THEN |
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gradSmod(i,j) = 0. _d 0 |
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ELSE |
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gradSmod(i,j) = sqrt( tmpfld(i,j) ) |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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cnostore CADJ STORE gradSmod(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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cnostore CADJ STORE dSigmaDrReal(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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#endif |
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|
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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 (gradSmod(i,j) .NE. 0.) THEN |
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dSigmaDrLtd(i,j) = -gradSmod(i,j)*GM_rMaxSlope |
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IF ( dSigmaDrReal(i,j) .GE. dSigmaDrLtd(i,j) ) |
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& dSigmaDrReal(i,j) = dSigmaDrLtd(i,j) |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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cnostore CADJ STORE slopeX(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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cnostore CADJ STORE slopeY(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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cnostore CADJ STORE dSigmaDrReal(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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#endif |
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|
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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 (gradSmod(i,j) .EQ. 0.) THEN |
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SlopeX(i,j) = 0. _d 0 |
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SlopeY(i,j) = 0. _d 0 |
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ELSE |
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dRdSigmaLtd(i,j) = 1./( dSigmaDrReal(i,j) ) |
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SlopeX(i,j)=-dSigmaDx(i,j)*dRdSigmaLtd(i,j) |
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SlopeY(i,j)=-dSigmaDy(i,j)*dRdSigmaLtd(i,j) |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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cnostore CADJ STORE slopeX(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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cnostore CADJ STORE slopeY(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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#endif |
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|
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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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SlopeSqr(i,j)=SlopeX(i,j)*SlopeX(i,j) |
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& +SlopeY(i,j)*SlopeY(i,j) |
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taperFct(i,j)=1. _d 0 |
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ENDDO |
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ENDDO |
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|
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#endif /* GM_EXCLUDE_CLIPPING */ |
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|
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ELSE IF (GM_taper_scheme.EQ.'ac02') THEN |
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|
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#ifdef GM_EXCLUDE_AC02_TAP |
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|
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STOP 'Need to compile without "#define GM_EXCLUDE_AC02_TAP"' |
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|
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#else /* GM_EXCLUDE_AC02_TAP */ |
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|
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C- New Scheme (A. & C. 2002): relax part of the small slope approximation |
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C compute the true slope (no approximation) |
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C but still neglect Kxy & Kyx (assumed to be zero) |
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|
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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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dRdSigmaLtd(i,j)= |
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& dSigmaDx(i,j)*dSigmaDx(i,j) |
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& + dSigmaDy(i,j)*dSigmaDy(i,j) |
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& + dSigmaDrReal(i,j)*dSigmaDrReal(i,j) |
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taperFct(i,j) = 1. _d 0 |
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c |
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IF (dRdSigmaLtd(i,j).NE.0.) then |
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dRdSigmaLtd(i,j)=1. _d 0 |
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& / ( dRdSigmaLtd(i,j) ) |
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SlopeSqr(i,j)=(dSigmaDx(i,j)*dSigmaDx(i,j) |
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& +dSigmaDy(i,j)*dSigmaDy(i,j))*dRdSigmaLtd(i,j) |
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SlopeX(i,j)=-dSigmaDx(i,j) |
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& *dRdSigmaLtd(i,j)*dSigmaDrReal(i,j) |
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SlopeY(i,j)=-dSigmaDy(i,j) |
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& *dRdSigmaLtd(i,j)*dSigmaDrReal(i,j) |
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cph T11(i,j)=(dSigmaDrReal(i,j)**2)*dRdSigmaLtd(i,j) |
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ENDIF |
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#ifndef ALLOWW_AUTODIFF_TAMC |
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cph-- this part doesn't adjoint well |
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IF ( SlopeSqr(i,j) .GT. maxSlopeSqr .AND. |
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& SlopeSqr(i,j) .LT. GM_slopeSqCutoff ) THEN |
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taperFct(i,j) = maxSlopeSqr/SlopeSqr(i,j) |
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ELSE IF ( SlopeSqr(i,j) .GT. GM_slopeSqCutoff ) THEN |
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taperFct(i,j) = 0. _d 0 |
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ENDIF |
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#endif |
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ENDDO |
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ENDDO |
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|
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#endif /* GM_EXCLUDE_AC02_TAP */ |
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|
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ELSE |
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|
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#ifdef GM_EXCLUDE_TAPERING |
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|
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STOP 'Need to compile without "#define GM_EXCLUDE_TAPERING"' |
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|
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#else /* GM_EXCLUDE_TAPERING */ |
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|
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C---------------------------------------------------------------------- |
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|
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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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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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cnostore CADJ STORE dSigmaDrReal(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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#endif |
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|
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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 ( dSigmaDrReal(i,j) .NE. 0. ) THEN |
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IF (dSigmaDrReal(i,j).GE.(-GM_Small_Number)) |
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& dSigmaDrReal(i,j) = -GM_Small_Number |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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cnostore CADJ STORE dSigmaDx(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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cnostore CADJ STORE dSigmaDy(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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cnostore CADJ STORE dSigmaDrReal(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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#endif |
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|
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
| 246 |
IF ( dSigmaDrReal(i,j) .EQ. 0. ) THEN |
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IF ( dSigmaDx(i,j) .NE. 0. ) THEN |
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SlopeX(i,j) = SIGN(Small_taper,dSigmaDx(i,j)) |
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ELSE |
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SlopeX(i,j) = 0. _d 0 |
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ENDIF |
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IF ( dSigmaDy(i,j) .NE. 0. ) THEN |
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SlopeY(i,j) = SIGN(Small_taper,dSigmaDy(i,j)) |
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ELSE |
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SlopeY(i,j) = 0. _d 0 |
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ENDIF |
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ELSE |
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dRdSigmaLtd(i,j) = 1. _d 0 / dSigmaDrReal(i,j) |
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SlopeX(i,j)=-dSigmaDx(i,j)*dRdSigmaLtd(i,j) |
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SlopeY(i,j)=-dSigmaDy(i,j)*dRdSigmaLtd(i,j) |
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c SlopeX(i,j) = -dSigmaDx(i,j)/dSigmaDrReal(i,j) |
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c SlopeY(i,j) = -dSigmaDy(i,j)/dSigmaDrReal(i,j) |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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cnostore CADJ STORE slopeX(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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cnostore CADJ STORE slopeY(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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#endif |
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|
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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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SlopeSqr(i,j) = SlopeX(i,j)*SlopeX(i,j) |
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& +SlopeY(i,j)*SlopeY(i,j) |
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taperFct(i,j) = 1. _d 0 |
| 277 |
IF ( SlopeSqr(i,j) .GT. GM_slopeSqCutoff ) THEN |
| 278 |
slopeSqr(i,j) = GM_slopeSqCutoff |
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taperFct(i,j) = 0. _d 0 |
| 280 |
ENDIF |
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ENDDO |
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ENDDO |
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|
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C- Compute the tapering function for the GM+Redi tensor : |
| 285 |
|
| 286 |
IF (GM_taper_scheme.EQ.'linear') THEN |
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|
| 288 |
C- Simplest adiabatic tapering = Smax/Slope (linear) |
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maxSlopeSqr = GM_maxSlope*GM_maxSlope |
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DO j=1-Oly+1,sNy+Oly-1 |
| 291 |
DO i=1-Olx+1,sNx+Olx-1 |
| 292 |
|
| 293 |
IF ( SlopeSqr(i,j) .EQ. 0. ) THEN |
| 294 |
taperFct(i,j) = 1. _d 0 |
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ELSE IF ( SlopeSqr(i,j) .GT. maxSlopeSqr .AND. |
| 296 |
& SlopeSqr(i,j) .LT. GM_slopeSqCutoff ) THEN |
| 297 |
taperFct(i,j) = sqrt(maxSlopeSqr / SlopeSqr(i,j)) |
| 298 |
ENDIF |
| 299 |
|
| 300 |
ENDDO |
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ENDDO |
| 302 |
|
| 303 |
ELSEIF (GM_taper_scheme.EQ.'gkw91') THEN |
| 304 |
|
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C- Gerdes, Koberle and Willebrand, Clim. Dyn. 1991 |
| 306 |
maxSlopeSqr = GM_maxSlope*GM_maxSlope |
| 307 |
DO j=1-Oly+1,sNy+Oly-1 |
| 308 |
DO i=1-Olx+1,sNx+Olx-1 |
| 309 |
|
| 310 |
IF ( SlopeSqr(i,j) .EQ. 0. ) THEN |
| 311 |
taperFct(i,j) = 1. _d 0 |
| 312 |
ELSE IF ( SlopeSqr(i,j) .GT. maxSlopeSqr .AND. |
| 313 |
& SlopeSqr(i,j) .LT. GM_slopeSqCutoff ) THEN |
| 314 |
taperFct(i,j) = maxSlopeSqr/SlopeSqr(i,j) |
| 315 |
ENDIF |
| 316 |
|
| 317 |
ENDDO |
| 318 |
ENDDO |
| 319 |
|
| 320 |
ELSEIF (GM_taper_scheme.EQ.'dm95') THEN |
| 321 |
|
| 322 |
C- Danabasoglu and McWilliams, J. Clim. 1995 |
| 323 |
DO j=1-Oly+1,sNy+Oly-1 |
| 324 |
DO i=1-Olx+1,sNx+Olx-1 |
| 325 |
|
| 326 |
IF ( SlopeSqr(i,j) .EQ. 0. ) THEN |
| 327 |
taperFct(i,j) = 1. _d 0 |
| 328 |
ELSE IF ( SlopeSqr(i,j) .LT. GM_slopeSqCutoff ) THEN |
| 329 |
Smod=sqrt(SlopeSqr(i,j)) |
| 330 |
taperFct(i,j)=op5*( 1. _d 0 + tanh( (GM_Scrit-Smod)/GM_Sd )) |
| 331 |
ENDIF |
| 332 |
ENDDO |
| 333 |
ENDDO |
| 334 |
|
| 335 |
ELSEIF (GM_taper_scheme.EQ.'ldd97') THEN |
| 336 |
|
| 337 |
C- Large, Danabasoglu and Doney, JPO 1997 |
| 338 |
DO j=1-Oly+1,sNy+Oly-1 |
| 339 |
DO i=1-Olx+1,sNx+Olx-1 |
| 340 |
|
| 341 |
IF (SlopeSqr(i,j) .EQ. 0.) THEN |
| 342 |
taperFct(i,j) = 1. _d 0 |
| 343 |
ELSE IF ( SlopeSqr(i,j) .LT. GM_slopeSqCutoff ) THEN |
| 344 |
Smod=sqrt(SlopeSqr(i,j)) |
| 345 |
f1=op5*( 1. _d 0 + tanh( (GM_Scrit-Smod)/GM_Sd )) |
| 346 |
Cspd=2. _d 0 |
| 347 |
Lrho=100. _d 3 |
| 348 |
if (fCori(i,j,bi,bj).NE.0.) Lrho=Cspd/abs(fCori(i,j,bi,bj)) |
| 349 |
Lrho=min(Lrho , 100. _d 3) |
| 350 |
Lrho=max(Lrho , 15. _d 3) |
| 351 |
Rnondim=depthZ/(Lrho*Smod) |
| 352 |
f2=op5*( 1. _d 0 + sin( fpi*(Rnondim-op5))) |
| 353 |
taperFct(i,j)=f1*f2 |
| 354 |
ENDIF |
| 355 |
|
| 356 |
ENDDO |
| 357 |
ENDDO |
| 358 |
|
| 359 |
ELSEIF (GM_taper_scheme.NE.' ') THEN |
| 360 |
STOP 'GMREDI_SLOPE_LIMIT: Bad GM_taper_scheme' |
| 361 |
ENDIF |
| 362 |
|
| 363 |
#endif /* GM_EXCLUDE_TAPERING */ |
| 364 |
|
| 365 |
ENDIF |
| 366 |
|
| 367 |
|
| 368 |
#endif /* ALLOW_GMREDI */ |
| 369 |
|
| 370 |
RETURN |
| 371 |
END |
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