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C $Header: /u/gcmpack/MITgcm/pkg/gmredi/gmredi_slope_psi.F,v 1.11 2008/05/30 21:10:25 gforget 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_PSI( |
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O taperX, taperY, |
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U SlopeX, SlopeY, |
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U dSigmaDrW,dSigmaDrS, |
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I LrhoW, LrhoS, depthZ, K, |
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I bi,bj, myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE GMREDI_SLOPE_PSI | |
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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,S contains the d/dz Sigma | |
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C | SlopeX/Y contains X/Y gradients of sigma | |
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C | depthZ contains the depth (< 0 !) [m] | |
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C | On exit: | |
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C | dSigmaDrW,S contains 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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|
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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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|
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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 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 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 LrhoW(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL LrhoS(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RS depthZ |
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INTEGER K,bi,bj,myThid |
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CEndOfInterface |
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|
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#ifdef ALLOW_GMREDI |
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#ifdef GM_BOLUS_ADVEC |
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|
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C == Local variables == |
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_RL dSigmaDrLtd(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL f1,Smod,f2,Rnondim |
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_RL maxSlopeSqr |
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_RL slopeCutoff |
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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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#ifdef GMREDI_WITH_STABLE_ADJOINT |
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_RL slopeTmpSpec,slopeMaxSpec |
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#endif |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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slopeCutoff = SQRT( GM_slopeSqCutoff ) |
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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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igmkey = (act1 + 1) + act2*max1 |
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& + act3*max1*max2 |
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& + act4*max1*max2*max3 |
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kkey = (igmkey-1)*Nr + k |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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#ifndef GMREDI_WITH_STABLE_ADJOINT |
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c common case: |
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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-- X-comp |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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dSigmaDrLtd(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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C- Cox 1987 "Slope clipping" |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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dSigmaDrLtd(i,j) = -(GM_Small_Number+ |
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& ABS(SlopeX(i,j))*GM_rMaxSlope) |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE dSigmaDrLtd(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE dSigmaDrW(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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IF (dSigmaDrW(i,j).GE.dSigmaDrLtd(i,j)) |
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& dSigmaDrW(i,j) = dSigmaDrLtd(i,j) |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE dSigmaDrW(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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SlopeX(i,j) = -SlopeX(i,j)/dSigmaDrW(i,j) |
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taperX(i,j) = 1. _d 0 |
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ENDDO |
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ENDDO |
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|
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C-- Y-comp |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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dSigmaDrLtd(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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dSigmaDrLtd(i,j) = -(GM_Small_Number+ |
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& ABS(SlopeY(i,j))*GM_rMaxSlope) |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE dSigmaDrLtd(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE dSigmaDrS(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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IF (dSigmaDrS(i,j).GE.dSigmaDrLtd(i,j)) |
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& dSigmaDrS(i,j) = dSigmaDrLtd(i,j) |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE dSigmaDrS(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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SlopeY(i,j) = -SlopeY(i,j)/dSigmaDrS(i,j) |
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taperY(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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ELSEIF (GM_taper_scheme.EQ.'fm07') THEN |
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|
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STOP 'GMREDI_SLOPE_PSI: AdvForm not yet implemented for fm07' |
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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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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE slopeX(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE dSigmaDrW(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif |
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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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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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IF (dSigmaDrW(i,j).GE.-GM_Small_Number) |
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& dSigmaDrW(i,j) = -GM_Small_Number |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE dsigmadrW(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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SlopeX(i,j) = -SlopeX(i,j)/dSigmaDrW(i,j) |
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taperX(i,j) = 1. _d 0 |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE slopex(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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IF ( ABS(SlopeX(i,j)) .GE. slopeCutoff ) THEN |
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SlopeX(i,j) = SIGN(slopeCutoff,SlopeX(i,j)) |
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taperX(i,j) = 0. _d 0 |
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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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CADJ STORE slopeY(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE dSigmaDrS(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif |
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|
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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IF (dSigmaDrS(i,j).GE.-GM_Small_Number) |
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& dSigmaDrS(i,j) = -GM_Small_Number |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE dsigmadrS(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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SlopeY(i,j) = -SlopeY(i,j)/dSigmaDrS(i,j) |
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taperY(i,j) = 1. _d 0 |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
| 243 |
CADJ STORE slopey(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif |
| 245 |
DO j=1-Oly+1,sNy+Oly |
| 246 |
DO i=1-Olx,sNx+Olx |
| 247 |
IF ( ABS(SlopeY(i,j)) .GE. slopeCutoff ) THEN |
| 248 |
SlopeY(i,j) = SIGN(slopeCutoff,SlopeY(i,j)) |
| 249 |
taperY(i,j) = 0. _d 0 |
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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 : |
| 255 |
|
| 256 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 257 |
CADJ STORE slopeX(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE slopeY(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 259 |
#endif |
| 260 |
|
| 261 |
IF (GM_taper_scheme.EQ.'linear') THEN |
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|
| 263 |
C- Simplest adiabatic tapering = Smax/Slope (linear) |
| 264 |
DO j=1-Oly,sNy+Oly |
| 265 |
DO i=1-Olx+1,sNx+Olx |
| 266 |
Smod = ABS(SlopeX(i,j)) |
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IF ( Smod .GT. GM_maxSlope .AND. |
| 268 |
& Smod .LT. slopeCutoff ) |
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& taperX(i,j)=GM_maxSlope/(Smod+GM_Small_Number) |
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ENDDO |
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ENDDO |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
| 274 |
Smod = ABS(SlopeY(i,j)) |
| 275 |
IF ( Smod .GT. GM_maxSlope .AND. |
| 276 |
& Smod .LT. slopeCutoff ) |
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& taperY(i,j)=GM_maxSlope/(Smod+GM_Small_Number) |
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ENDDO |
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ENDDO |
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|
| 281 |
ELSEIF (GM_taper_scheme.EQ.'gkw91') THEN |
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|
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C- Gerdes, Koberle and Willebrand, Clim. Dyn. 1991 |
| 284 |
maxSlopeSqr = GM_maxSlope*GM_maxSlope |
| 285 |
DO j=1-Oly,sNy+Oly |
| 286 |
DO i=1-Olx+1,sNx+Olx |
| 287 |
IF ( ABS(SlopeX(i,j)) .GT. GM_maxSlope .AND. |
| 288 |
& ABS(SlopeX(i,j)) .LT. slopeCutoff ) |
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& taperX(i,j)=maxSlopeSqr/ |
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& ( SlopeX(i,j)*SlopeX(i,j) + GM_Small_Number ) |
| 291 |
ENDDO |
| 292 |
ENDDO |
| 293 |
DO j=1-Oly+1,sNy+Oly |
| 294 |
DO i=1-Olx,sNx+Olx |
| 295 |
IF ( ABS(SlopeY(i,j)) .GT. GM_maxSlope .AND. |
| 296 |
& ABS(SlopeY(i,j)) .LT. slopeCutoff ) |
| 297 |
& taperY(i,j)=maxSlopeSqr/ |
| 298 |
& ( SlopeY(i,j)*SlopeY(i,j) + GM_Small_Number ) |
| 299 |
ENDDO |
| 300 |
ENDDO |
| 301 |
|
| 302 |
ELSEIF (GM_taper_scheme.EQ.'dm95') THEN |
| 303 |
|
| 304 |
C- Danabasoglu and McWilliams, J. Clim. 1995 |
| 305 |
DO j=1-Oly,sNy+Oly |
| 306 |
DO i=1-Olx+1,sNx+Olx |
| 307 |
Smod = ABS(SlopeX(i,j)) |
| 308 |
taperX(i,j)=op5*( 1. _d 0 + TANH( (GM_Scrit-Smod)/GM_Sd )) |
| 309 |
ENDDO |
| 310 |
ENDDO |
| 311 |
DO j=1-Oly+1,sNy+Oly |
| 312 |
DO i=1-Olx,sNx+Olx |
| 313 |
Smod = ABS(SlopeY(i,j)) |
| 314 |
taperY(i,j)=op5*( 1. _d 0 + TANH( (GM_Scrit-Smod)/GM_Sd )) |
| 315 |
ENDDO |
| 316 |
ENDDO |
| 317 |
|
| 318 |
ELSEIF (GM_taper_scheme.EQ.'ldd97') THEN |
| 319 |
|
| 320 |
C- Large, Danabasoglu and Doney, JPO 1997 |
| 321 |
|
| 322 |
DO j=1-Oly,sNy+Oly |
| 323 |
DO i=1-Olx+1,sNx+Olx |
| 324 |
Smod = ABS(SlopeX(i,j)) |
| 325 |
IF ( Smod .LT. slopeCutoff ) THEN |
| 326 |
f1=op5*( 1. _d 0 + TANH( (GM_Scrit-Smod)/GM_Sd )) |
| 327 |
IF (Smod.NE.0.) THEN |
| 328 |
Rnondim = -depthZ/(LrhoW(i,j)*Smod) |
| 329 |
ELSE |
| 330 |
Rnondim = 1. |
| 331 |
ENDIF |
| 332 |
IF ( Rnondim.GE.1. _d 0 ) THEN |
| 333 |
f2 = 1. _d 0 |
| 334 |
ELSE |
| 335 |
f2 = op5*( 1. _d 0 + SIN( fpi*(Rnondim-op5) )) |
| 336 |
ENDIF |
| 337 |
taperX(i,j)=f1*f2 |
| 338 |
ENDIF |
| 339 |
ENDDO |
| 340 |
ENDDO |
| 341 |
|
| 342 |
DO j=1-Oly+1,sNy+Oly |
| 343 |
DO i=1-Olx,sNx+Olx |
| 344 |
Smod = ABS(SlopeY(i,j)) |
| 345 |
IF ( Smod .LT. slopeCutoff ) THEN |
| 346 |
f1=op5*( 1. _d 0 + TANH( (GM_Scrit-Smod)/GM_Sd )) |
| 347 |
IF (Smod.NE.0.) THEN |
| 348 |
Rnondim = -depthZ/(LrhoS(i,j)*Smod) |
| 349 |
ELSE |
| 350 |
Rnondim = 1. |
| 351 |
ENDIF |
| 352 |
IF ( Rnondim.GE.1. _d 0 ) THEN |
| 353 |
f2 = 1. _d 0 |
| 354 |
ELSE |
| 355 |
f2 = op5*( 1. _d 0 + SIN( fpi*(Rnondim-op5) )) |
| 356 |
ENDIF |
| 357 |
taperY(i,j)=f1*f2 |
| 358 |
ENDIF |
| 359 |
ENDDO |
| 360 |
ENDDO |
| 361 |
|
| 362 |
ELSEIF (GM_taper_scheme.NE.' ') THEN |
| 363 |
STOP 'GMREDI_SLOPE_PSI: Bad GM_taper_scheme' |
| 364 |
ENDIF |
| 365 |
|
| 366 |
#endif /* GM_EXCLUDE_TAPERING */ |
| 367 |
|
| 368 |
ENDIF |
| 369 |
|
| 370 |
|
| 371 |
#else /* GMREDI_WITH_STABLE_ADJOINT */ |
| 372 |
c special choice for adjoint/optimization of parameters |
| 373 |
c (~ strong clipping, reducing non linearity of psi=f(K)) |
| 374 |
|
| 375 |
|
| 376 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 377 |
CADJ STORE slopeX(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 378 |
CADJ STORE dSigmaDrW(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 379 |
#endif |
| 380 |
DO j=1-Oly,sNy+Oly |
| 381 |
DO i=1-Olx+1,sNx+Olx |
| 382 |
IF (dSigmaDrW(i,j).GE.-GM_Small_Number) |
| 383 |
& dSigmaDrW(i,j) = -GM_Small_Number |
| 384 |
ENDDO |
| 385 |
ENDDO |
| 386 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 387 |
CADJ STORE dsigmadrW(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 388 |
#endif |
| 389 |
DO j=1-Oly,sNy+Oly |
| 390 |
DO i=1-Olx+1,sNx+Olx |
| 391 |
SlopeX(i,j) = -SlopeX(i,j)/dSigmaDrW(i,j) |
| 392 |
taperX(i,j) = 1. _d 0 |
| 393 |
ENDDO |
| 394 |
ENDDO |
| 395 |
|
| 396 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 397 |
CADJ STORE slopeY(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 398 |
CADJ STORE dSigmaDrS(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 399 |
#endif |
| 400 |
|
| 401 |
DO j=1-Oly+1,sNy+Oly |
| 402 |
DO i=1-Olx,sNx+Olx |
| 403 |
IF (dSigmaDrS(i,j).GE.-GM_Small_Number) |
| 404 |
& dSigmaDrS(i,j) = -GM_Small_Number |
| 405 |
ENDDO |
| 406 |
ENDDO |
| 407 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 408 |
CADJ STORE dsigmadrS(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 409 |
#endif |
| 410 |
DO j=1-Oly+1,sNy+Oly |
| 411 |
DO i=1-Olx,sNx+Olx |
| 412 |
SlopeY(i,j) = -SlopeY(i,j)/dSigmaDrS(i,j) |
| 413 |
taperY(i,j) = 1. _d 0 |
| 414 |
ENDDO |
| 415 |
ENDDO |
| 416 |
|
| 417 |
slopeMaxSpec=1. _d -4 |
| 418 |
|
| 419 |
CADJ STORE slopeX(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 420 |
CADJ STORE slopeY(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 421 |
|
| 422 |
DO j=1-Oly,sNy+Oly |
| 423 |
DO i=1-Olx+1,sNx+Olx |
| 424 |
slopeTmpSpec=ABS(SlopeX(i,j)) |
| 425 |
IF ( slopeTmpSpec .GT. slopeMaxSpec ) then |
| 426 |
SlopeX(i,j)=5.*SlopeX(i,j)*slopeMaxSpec/slopeTmpSpec |
| 427 |
ELSE |
| 428 |
SlopeX(i,j)=5.*SlopeX(i,j) |
| 429 |
ENDIF |
| 430 |
taperX(i,j)=1. |
| 431 |
ENDDO |
| 432 |
ENDDO |
| 433 |
DO j=1-Oly+1,sNy+Oly |
| 434 |
DO i=1-Olx,sNx+Olx |
| 435 |
slopeTmpSpec=ABS(SlopeY(i,j)) |
| 436 |
IF ( slopeTmpSpec .GT. slopeMaxSpec ) then |
| 437 |
SlopeY(i,j)=5.*SlopeY(i,j)*slopeMaxSpec/slopeTmpSpec |
| 438 |
ELSE |
| 439 |
SlopeY(i,j)=5.*SlopeY(i,j) |
| 440 |
ENDIF |
| 441 |
taperY(i,j)=1. |
| 442 |
ENDDO |
| 443 |
ENDDO |
| 444 |
|
| 445 |
#endif /* GMREDI_WITH_STABLE_ADJOINT */ |
| 446 |
|
| 447 |
#endif /* BOLUS_ADVEC */ |
| 448 |
#endif /* ALLOW_GMREDI */ |
| 449 |
|
| 450 |
RETURN |
| 451 |
END |
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