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C $Header: /u/gcmpack/MITgcm/pkg/gmredi/gmredi_slope_limit.F,v 1.36 2015/12/29 14:32:40 gforget Exp $ |
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C $Name: $ |
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|
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#include "GMREDI_OPTIONS.h" |
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#ifdef ALLOW_AUTODIFF |
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# include "AUTODIFF_OPTIONS.h" |
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#endif |
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|
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CBOP |
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C !ROUTINE: GMREDI_SLOPE_LIMIT |
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C !INTERFACE: |
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SUBROUTINE GMREDI_SLOPE_LIMIT( |
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O SlopeX, SlopeY, |
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O SlopeSqr, taperFct, |
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U hTransLay, baseSlope, recipLambda, |
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U dSigmaDr, |
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I dSigmaDx, dSigmaDy, |
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I Lrho, hMixLay, depthZ, kLow, |
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I k, bi, bj, myTime, myIter, myThid ) |
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|
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C !DESCRIPTION: \bv |
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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 | dSigmaDr contains the d/dz Sigma |
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C | dSigmaDx/Dy contains X/Y gradients of sigma |
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C | depthZ contains the depth (< 0 !) [m] |
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C | Lrho |
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C | hMixLay mixed layer depth (> 0) |
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C U hTransLay transition layer depth (> 0) |
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C U baseSlope, recipLambda, |
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C | On exit: |
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C | dSigmaDr contains 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 U hTransLay transition layer depth (> 0) |
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C U baseSlope, recipLambda |
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C *==========================================================* |
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C \ev |
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|
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C !USES: |
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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 !INPUT PARAMETERS: |
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C dSigmaDx :: zonal gradient of density |
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C dSigmaDy :: meridional gradient of density |
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C Lrho :: |
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C hMixLay :: mixed layer thickness (> 0) [m] |
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C depthZ :: model discretized depth (< 0) [m] |
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C kLow :: bottom level index 2-D array |
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C k :: level index |
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C bi, bj :: tile indices |
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C myTime :: time in simulation |
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C myIter :: iteration number in simulation |
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C myThid :: My Thread Id. number |
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C !OUTPUT PARAMETERS: |
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C SlopeX :: isopycnal slope in X direction |
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C SlopeY :: isopycnal slope in Y direction |
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C SlopeSqr :: square of isopycnal slope |
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C taperFct :: tapering function |
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C hTransLay :: depth of the base of the transition layer (> 0) [m] |
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C baseSlope :: slope at the the base of the transition layer |
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C recipLambda :: Slope vertical gradient at Trans. Layer Base (=recip.Lambda) |
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C dSigmaDr :: vertical gradient of density |
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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 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 hTransLay (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL baseSlope (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL recipLambda(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dSigmaDr (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 Lrho (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL hMixLay (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS depthZ(*) |
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INTEGER kLow (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER k, bi,bj |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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CEOP |
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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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C == Local variables == |
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#ifdef GMREDI_WITH_STABLE_ADJOINT |
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_RL slopeSqTmp,slopeTmp,slopeMax |
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#endif |
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_RL dSigmMod(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL SlopeMod(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 locVar(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 fpi |
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PARAMETER( fpi = PI ) |
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INTEGER i,j |
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_RL dTransLay, rLambMin, DoverLamb |
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_RL taperFctLoc, taperFctHat |
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_RL minTransLay |
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|
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C- need to put this one in GM namelist : |
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_RL GM_bigSlope |
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GM_bigSlope = 1. _d +02 |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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C TAF thinks for some reason that depthZ is an active variable. |
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C While this does not make the adjoint code wrong, the resulting |
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C code inhibits vectorization in some cases so we tell TAF here |
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C that depthZ is actually a passive grid variable that needs no adjoint |
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CADJ PASSIVE depthz |
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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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dSigmMod(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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dSigmMod(i,j) = 0. _d 0 |
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ELSE |
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dSigmMod(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 dSigmMod(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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cnostore CADJ STORE dSigmaDr(:,:) = 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 (dSigmMod(i,j) .NE. 0.) THEN |
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tmpFld(i,j) = -dSigmMod(i,j)*GM_rMaxSlope |
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IF ( dSigmaDr(i,j) .GE. tmpFld(i,j) ) |
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& dSigmaDr(i,j) = 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 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 dSigmaDr(:,:) = 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 (dSigmMod(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. _d 0/( dSigmaDr(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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ELSEIF (GM_taper_scheme.EQ.'fm07' ) THEN |
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C-- Ferrari & Mc.Williams, 2007: |
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|
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#ifdef GM_EXCLUDE_FM07_TAP |
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|
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STOP 'Need to compile without "#define GM_EXCLUDE_FM07_TAP"' |
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|
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#else /* GM_EXCLUDE_FM07_TAP */ |
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|
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C- a) Calculate separately slope magnitude (SlopeMod) |
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C and slope horiz. direction (Slope_X,Y : normalized) |
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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 ( k.GT.kLow(i,j) ) THEN |
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C- Bottom or below: |
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SlopeX (i,j) = 0. _d 0 |
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SlopeY (i,j) = 0. _d 0 |
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SlopeMod(i,j) = 0. _d 0 |
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taperFct(i,j) = 0. _d 0 |
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ELSE |
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C- Above bottom: |
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IF ( dSigmaDr(i,j).GE. -GM_Small_Number ) |
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& dSigmaDr(i,j) = -GM_Small_Number |
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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).GT.0. ) THEN |
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locVar(i,j) = SQRT( tmpFld(i,j) ) |
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SlopeX (i,j) = dSigmaDx(i,j)/locVar(i,j) |
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SlopeY (i,j) = dSigmaDy(i,j)/locVar(i,j) |
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SlopeMod(i,j) = -locVar(i,j)/dSigmaDr(i,j) |
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taperFct(i,j) = 1. _d 0 |
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ELSE |
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SlopeX (i,j) = 0. _d 0 |
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SlopeY (i,j) = 0. _d 0 |
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SlopeMod(i,j) = 0. _d 0 |
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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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C- b) Set Transition Layer Depth: |
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IF ( k.EQ.1 ) THEN |
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minTransLay = GM_facTrL2dz*( depthZ(k) - depthZ(k+1) ) |
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ELSE |
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minTransLay = GM_facTrL2dz*( depthZ(k-1) - depthZ(k) ) |
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ENDIF |
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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 ( hTransLay(i,j).LE.0. _d 0 ) THEN |
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C- previously below the transition layer |
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tmpFld(i,j) = Lrho(i,j)*SlopeMod(i,j) |
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C- ensure that transition layer is at least as thick than current level and |
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C not thicker than the larger of the 2 : maxTransLay and facTrL2ML*hMixLay |
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dTransLay = |
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& MIN( MAX( tmpFld(i,j), minTransLay ), |
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& MAX( GM_facTrL2ML*hMixLay(i,j), GM_maxTransLay ) ) |
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IF ( k.GE.kLow(i,j) ) THEN |
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C- bottom & below & 1rst level above the bottom : |
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recipLambda(i,j) = 0. _d 0 |
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baseSlope(i,j) = SlopeMod(i,j) |
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C-- note: do not catch the 1rst level/interface (k=kLow) above the bottom |
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C since no baseSlope has yet been stored (= 0); but might fit |
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C well into transition layer criteria (if locally not stratified) |
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ELSEIF ( dTransLay+hMixLay(i,j)+depthZ(k) .GE. 0. ) THEN |
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C- Found the transition Layer : set depth of base of Transition layer |
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hTransLay(i,j) = -depthZ(k+1) |
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C and compute inverse length scale "1/Lambda" from slope vert. grad |
| 293 |
IF ( baseSlope(i,j).GT.0. ) THEN |
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recipLambda(i,j) = recipLambda(i,j) |
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& / MIN( baseSlope(i,j), GM_maxSlope ) |
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ELSE |
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recipLambda(i,j) = 0. _d 0 |
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ENDIF |
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C slope^2 & Kwz should remain > 0 : prevent too large negative D/lambda |
| 300 |
IF ( hMixLay(i,j)+depthZ(k+1).LT.0. ) THEN |
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rLambMin = 1. _d 0 /( hMixLay(i,j)+depthZ(k+1) ) |
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recipLambda(i,j) = MAX( recipLambda(i,j), rLambMin ) |
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ENDIF |
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ELSE |
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C- Still below Trans. layer: store slope & slope vert. grad. |
| 306 |
recipLambda(i,j) = ( MIN( SlopeMod(i,j), GM_maxSlope ) |
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& - MIN( baseSlope(i,j), GM_maxSlope ) |
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& ) / ( depthZ(k) - depthZ(k+1) ) |
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baseSlope(i,j) = SlopeMod(i,j) |
| 310 |
ENDIF |
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ENDIF |
| 312 |
ENDDO |
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ENDDO |
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|
| 315 |
C- c) Set Slope component according to vertical position |
| 316 |
C (in Mixed-Layer / in Transition Layer / below Transition Layer) |
| 317 |
DO j=1-OLy+1,sNy+OLy-1 |
| 318 |
DO i=1-OLx+1,sNx+OLx-1 |
| 319 |
IF ( hTransLay(i,j).GT.0. _d 0 ) THEN |
| 320 |
C- already above base of transition layer: |
| 321 |
|
| 322 |
DoverLamb = (hTransLay(i,j)-hMixLay(i,j))*recipLambda(i,j) |
| 323 |
IF ( -depthZ(k).LE.hMixLay(i,j) ) THEN |
| 324 |
C- compute tapering function -G(z) in the mixed Layer: |
| 325 |
taperFctLoc = |
| 326 |
& ( -depthZ(k)/(hTransLay(i,j)+hMixLay(i,j)) |
| 327 |
& *( 2. _d 0 + DoverLamb ) |
| 328 |
& ) |
| 329 |
C- compute tapering function -G^(z) in the mixed Layer |
| 330 |
taperFctHat = |
| 331 |
& ( -depthZ(k)/(hTransLay(i,j)+hMixLay(i,j)) |
| 332 |
& * 2. _d 0 |
| 333 |
& *( 1. _d 0 + DoverLamb ) |
| 334 |
& ) |
| 335 |
ELSE |
| 336 |
C- compute tapering function -G(z) in the transition Layer: |
| 337 |
taperFctLoc = |
| 338 |
& ( -depthZ(k)/(hTransLay(i,j)+hMixLay(i,j)) |
| 339 |
& *( 2. _d 0 + DoverLamb ) |
| 340 |
& ) |
| 341 |
& - ( (depthZ(k)+hMixLay(i,j))*(depthZ(k)+hMixLay(i,j)) |
| 342 |
& /( hTransLay(i,j)*hTransLay(i,j) |
| 343 |
& - hMixLay(i,j)*hMixLay(i,j) ) |
| 344 |
& *( 1. _d 0 + hTransLay(i,j)*recipLambda(i,j) ) |
| 345 |
& ) |
| 346 |
C- compute tapering function -G^(z) in the transition Layer: |
| 347 |
taperFctHat = |
| 348 |
& ( -depthZ(k)/(hTransLay(i,j)+hMixLay(i,j)) |
| 349 |
& * 2. _d 0 |
| 350 |
& *( 1. _d 0 + DoverLamb ) |
| 351 |
& ) |
| 352 |
& - ( (depthZ(k)+hMixLay(i,j))*(depthZ(k)+hMixLay(i,j)) |
| 353 |
& /( hTransLay(i,j)*hTransLay(i,j) |
| 354 |
& - hMixLay(i,j)*hMixLay(i,j) ) |
| 355 |
& *( 1. _d 0 + hTransLay(i,j)*recipLambda(i,j)*2. _d 0 ) |
| 356 |
& ) |
| 357 |
ENDIF |
| 358 |
C- modify the slope (above bottom of transition layer): |
| 359 |
c Smod = baseSlope(i,j) |
| 360 |
C- safer to limit the slope (even if it might never exceed GM_maxSlope) |
| 361 |
Smod = MIN( baseSlope(i,j), GM_maxSlope ) |
| 362 |
SlopeX(i,j) = SlopeX(i,j)*Smod*taperFctLoc |
| 363 |
SlopeY(i,j) = SlopeY(i,j)*Smod*taperFctLoc |
| 364 |
c SlopeSqr(i,j) = Smod*Smod*taperFctHat |
| 365 |
c SlopeSqr(i,j) = baseSlope(i,j)*Smod*taperFctHat |
| 366 |
SlopeSqr(i,j) = MIN( baseSlope(i,j), GM_bigSlope ) |
| 367 |
& *Smod*taperFctHat |
| 368 |
|
| 369 |
ELSE |
| 370 |
C-- Still below base of transition layer: |
| 371 |
c Smod = SlopeMod(i,j) |
| 372 |
C- safer to limit the slope: |
| 373 |
Smod = MIN( SlopeMod(i,j), GM_maxSlope ) |
| 374 |
SlopeX(i,j) = SlopeX(i,j)*Smod |
| 375 |
SlopeY(i,j) = SlopeY(i,j)*Smod |
| 376 |
c SlopeSqr(i,j) = Smod*Smod |
| 377 |
c SlopeSqr(i,j) = SlopeMod(i,j)*Smod |
| 378 |
SlopeSqr(i,j) = MIN( SlopeMod(i,j), GM_bigSlope ) |
| 379 |
& *Smod |
| 380 |
|
| 381 |
C-- end if baseSlope > 0 / else => above/below base of Trans. Layer |
| 382 |
ENDIF |
| 383 |
|
| 384 |
ENDDO |
| 385 |
ENDDO |
| 386 |
|
| 387 |
#endif /* GM_EXCLUDE_FM07_TAP */ |
| 388 |
|
| 389 |
ELSE IF (GM_taper_scheme.EQ.'ac02') THEN |
| 390 |
|
| 391 |
#ifdef GM_EXCLUDE_AC02_TAP |
| 392 |
|
| 393 |
STOP 'Need to compile without "#define GM_EXCLUDE_AC02_TAP"' |
| 394 |
|
| 395 |
#else /* GM_EXCLUDE_AC02_TAP */ |
| 396 |
|
| 397 |
C- New Scheme (A. & C. 2002): relax part of the small slope approximation |
| 398 |
C compute the true slope (no approximation) |
| 399 |
C but still neglect Kxy & Kyx (assumed to be zero) |
| 400 |
|
| 401 |
maxSlopeSqr = GM_maxSlope*GM_maxSlope |
| 402 |
DO j=1-OLy+1,sNy+OLy-1 |
| 403 |
DO i=1-OLx+1,sNx+OLx-1 |
| 404 |
dRdSigmaLtd(i,j)= |
| 405 |
& dSigmaDx(i,j)*dSigmaDx(i,j) |
| 406 |
& + dSigmaDy(i,j)*dSigmaDy(i,j) |
| 407 |
& + dSigmaDr(i,j)*dSigmaDr(i,j) |
| 408 |
taperFct(i,j) = 1. _d 0 |
| 409 |
|
| 410 |
IF (dRdSigmaLtd(i,j).NE.0.) THEN |
| 411 |
dRdSigmaLtd(i,j)=1. _d 0 |
| 412 |
& / ( dRdSigmaLtd(i,j) ) |
| 413 |
SlopeSqr(i,j)=(dSigmaDx(i,j)*dSigmaDx(i,j) |
| 414 |
& +dSigmaDy(i,j)*dSigmaDy(i,j))*dRdSigmaLtd(i,j) |
| 415 |
SlopeX(i,j)=-dSigmaDx(i,j) |
| 416 |
& *dRdSigmaLtd(i,j)*dSigmaDr(i,j) |
| 417 |
SlopeY(i,j)=-dSigmaDy(i,j) |
| 418 |
& *dRdSigmaLtd(i,j)*dSigmaDr(i,j) |
| 419 |
cph T11(i,j)=(dSigmaDr(i,j)**2)*dRdSigmaLtd(i,j) |
| 420 |
ENDIF |
| 421 |
#ifndef ALLOWW_AUTODIFF_TAMC |
| 422 |
cph-- this part does not adjoint well |
| 423 |
IF ( SlopeSqr(i,j) .GT. maxSlopeSqr .AND. |
| 424 |
& SlopeSqr(i,j) .LT. GM_slopeSqCutoff ) THEN |
| 425 |
taperFct(i,j) = maxSlopeSqr/SlopeSqr(i,j) |
| 426 |
ELSE IF ( SlopeSqr(i,j) .GT. GM_slopeSqCutoff ) THEN |
| 427 |
taperFct(i,j) = 0. _d 0 |
| 428 |
ENDIF |
| 429 |
#endif |
| 430 |
ENDDO |
| 431 |
ENDDO |
| 432 |
|
| 433 |
#endif /* GM_EXCLUDE_AC02_TAP */ |
| 434 |
|
| 435 |
ELSE |
| 436 |
|
| 437 |
#ifdef GM_EXCLUDE_TAPERING |
| 438 |
|
| 439 |
STOP 'Need to compile without "#define GM_EXCLUDE_TAPERING"' |
| 440 |
|
| 441 |
#else /* GM_EXCLUDE_TAPERING */ |
| 442 |
|
| 443 |
C---------------------------------------------------------------------- |
| 444 |
|
| 445 |
C- Compute the slope, no clipping, but avoid reverse slope in negatively |
| 446 |
C stratified (Sigma_Z > 0) region : |
| 447 |
|
| 448 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 449 |
cnostore CADJ STORE dSigmaDr(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 450 |
#endif |
| 451 |
|
| 452 |
DO j=1-OLy+1,sNy+OLy-1 |
| 453 |
DO i=1-OLx+1,sNx+OLx-1 |
| 454 |
IF ( dSigmaDr(i,j) .NE. 0. ) THEN |
| 455 |
IF (dSigmaDr(i,j).GE.(-GM_Small_Number)) |
| 456 |
& dSigmaDr(i,j) = -GM_Small_Number |
| 457 |
ENDIF |
| 458 |
ENDDO |
| 459 |
ENDDO |
| 460 |
|
| 461 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 462 |
cnostore CADJ STORE dSigmaDx(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 463 |
cnostore CADJ STORE dSigmaDy(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 464 |
cnostore CADJ STORE dSigmaDr(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 465 |
#endif |
| 466 |
|
| 467 |
DO j=1-OLy+1,sNy+OLy-1 |
| 468 |
DO i=1-OLx+1,sNx+OLx-1 |
| 469 |
IF ( dSigmaDr(i,j) .EQ. 0. ) THEN |
| 470 |
IF ( dSigmaDx(i,j) .NE. 0. ) THEN |
| 471 |
SlopeX(i,j) = SIGN( GM_bigSlope, dSigmaDx(i,j) ) |
| 472 |
ELSE |
| 473 |
SlopeX(i,j) = 0. _d 0 |
| 474 |
ENDIF |
| 475 |
IF ( dSigmaDy(i,j) .NE. 0. ) THEN |
| 476 |
SlopeY(i,j) = SIGN( GM_bigSlope, dSigmaDy(i,j) ) |
| 477 |
ELSE |
| 478 |
SlopeY(i,j) = 0. _d 0 |
| 479 |
ENDIF |
| 480 |
ELSE |
| 481 |
dRdSigmaLtd(i,j) = 1. _d 0 / dSigmaDr(i,j) |
| 482 |
SlopeX(i,j)=-dSigmaDx(i,j)*dRdSigmaLtd(i,j) |
| 483 |
SlopeY(i,j)=-dSigmaDy(i,j)*dRdSigmaLtd(i,j) |
| 484 |
c SlopeX(i,j) = -dSigmaDx(i,j)/dSigmaDr(i,j) |
| 485 |
c SlopeY(i,j) = -dSigmaDy(i,j)/dSigmaDr(i,j) |
| 486 |
ENDIF |
| 487 |
ENDDO |
| 488 |
ENDDO |
| 489 |
|
| 490 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 491 |
cnostore CADJ STORE slopeX(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 492 |
cnostore CADJ STORE slopeY(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 493 |
#endif |
| 494 |
|
| 495 |
DO j=1-OLy+1,sNy+OLy-1 |
| 496 |
DO i=1-OLx+1,sNx+OLx-1 |
| 497 |
SlopeSqr(i,j) = SlopeX(i,j)*SlopeX(i,j) |
| 498 |
& +SlopeY(i,j)*SlopeY(i,j) |
| 499 |
taperFct(i,j) = 1. _d 0 |
| 500 |
IF ( SlopeSqr(i,j) .GT. GM_slopeSqCutoff ) THEN |
| 501 |
slopeSqr(i,j) = GM_slopeSqCutoff |
| 502 |
taperFct(i,j) = 0. _d 0 |
| 503 |
ENDIF |
| 504 |
ENDDO |
| 505 |
ENDDO |
| 506 |
|
| 507 |
C- Compute the tapering function for the GM+Redi tensor : |
| 508 |
|
| 509 |
IF (GM_taper_scheme.EQ.'linear') THEN |
| 510 |
|
| 511 |
C- Simplest adiabatic tapering = Smax/Slope (linear) |
| 512 |
maxSlopeSqr = GM_maxSlope*GM_maxSlope |
| 513 |
DO j=1-OLy+1,sNy+OLy-1 |
| 514 |
DO i=1-OLx+1,sNx+OLx-1 |
| 515 |
|
| 516 |
IF ( SlopeSqr(i,j) .EQ. 0. ) THEN |
| 517 |
taperFct(i,j) = 1. _d 0 |
| 518 |
ELSE IF ( SlopeSqr(i,j) .GT. maxSlopeSqr .AND. |
| 519 |
& SlopeSqr(i,j) .LT. GM_slopeSqCutoff ) THEN |
| 520 |
taperFct(i,j) = SQRT(maxSlopeSqr / SlopeSqr(i,j)) |
| 521 |
slopeSqr(i,j) = MIN( slopeSqr(i,j),GM_bigSlope*GM_bigSlope ) |
| 522 |
ENDIF |
| 523 |
|
| 524 |
ENDDO |
| 525 |
ENDDO |
| 526 |
|
| 527 |
ELSEIF (GM_taper_scheme.EQ.'gkw91') THEN |
| 528 |
|
| 529 |
C- Gerdes, Koberle and Willebrand, Clim. Dyn. 1991 |
| 530 |
maxSlopeSqr = GM_maxSlope*GM_maxSlope |
| 531 |
DO j=1-OLy+1,sNy+OLy-1 |
| 532 |
DO i=1-OLx+1,sNx+OLx-1 |
| 533 |
|
| 534 |
IF ( SlopeSqr(i,j) .EQ. 0. ) THEN |
| 535 |
taperFct(i,j) = 1. _d 0 |
| 536 |
ELSE IF ( SlopeSqr(i,j) .GT. maxSlopeSqr .AND. |
| 537 |
& SlopeSqr(i,j) .LT. GM_slopeSqCutoff ) THEN |
| 538 |
taperFct(i,j) = maxSlopeSqr/SlopeSqr(i,j) |
| 539 |
ENDIF |
| 540 |
|
| 541 |
ENDDO |
| 542 |
ENDDO |
| 543 |
|
| 544 |
ELSEIF (GM_taper_scheme.EQ.'dm95') THEN |
| 545 |
|
| 546 |
C- Danabasoglu and McWilliams, J. Clim. 1995 |
| 547 |
DO j=1-OLy+1,sNy+OLy-1 |
| 548 |
DO i=1-OLx+1,sNx+OLx-1 |
| 549 |
|
| 550 |
IF ( SlopeSqr(i,j) .EQ. 0. ) THEN |
| 551 |
taperFct(i,j) = 1. _d 0 |
| 552 |
ELSE IF ( SlopeSqr(i,j) .LT. GM_slopeSqCutoff ) THEN |
| 553 |
Smod=SQRT(SlopeSqr(i,j)) |
| 554 |
taperFct(i,j)=op5*( 1. _d 0 + tanh( (GM_Scrit-Smod)/GM_Sd )) |
| 555 |
ENDIF |
| 556 |
ENDDO |
| 557 |
ENDDO |
| 558 |
|
| 559 |
ELSEIF (GM_taper_scheme.EQ.'ldd97') THEN |
| 560 |
|
| 561 |
C- Large, Danabasoglu and Doney, JPO 1997 |
| 562 |
DO j=1-OLy+1,sNy+OLy-1 |
| 563 |
DO i=1-OLx+1,sNx+OLx-1 |
| 564 |
|
| 565 |
IF (SlopeSqr(i,j) .EQ. 0.) THEN |
| 566 |
taperFct(i,j) = 1. _d 0 |
| 567 |
ELSEIF ( SlopeSqr(i,j) .LT. GM_slopeSqCutoff ) THEN |
| 568 |
Smod=SQRT(SlopeSqr(i,j)) |
| 569 |
f1=op5*( 1. _d 0 + tanh( (GM_Scrit-Smod)/GM_Sd )) |
| 570 |
Rnondim= -depthZ(k)/(Lrho(i,j)*Smod) |
| 571 |
IF ( Rnondim.GE.1. _d 0 ) THEN |
| 572 |
f2 = 1. _d 0 |
| 573 |
ELSE |
| 574 |
f2 = op5*( 1. _d 0 + SIN( fpi*(Rnondim-op5) )) |
| 575 |
ENDIF |
| 576 |
taperFct(i,j)=f1*f2 |
| 577 |
ENDIF |
| 578 |
|
| 579 |
ENDDO |
| 580 |
ENDDO |
| 581 |
|
| 582 |
ELSEIF (GM_taper_scheme.EQ.'stableGmAdjTap') THEN |
| 583 |
|
| 584 |
#ifndef GMREDI_WITH_STABLE_ADJOINT |
| 585 |
|
| 586 |
STOP 'Need to compile wth "#define GMREDI_WITH_STABLE_ADJOINT"' |
| 587 |
|
| 588 |
#else /* GMREDI_WITH_STABLE_ADJOINT */ |
| 589 |
|
| 590 |
c special choice for adjoint/optimization of parameters |
| 591 |
c (~ strong clipping, reducing non linearity of kw=f(K)) |
| 592 |
|
| 593 |
slopeMax= 2. _d -3 |
| 594 |
|
| 595 |
CADJ STORE SlopeX(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 596 |
CADJ STORE SlopeY(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 597 |
|
| 598 |
DO j=1-OLy,sNy+OLy |
| 599 |
DO i=1-OLx+1,sNx+OLx |
| 600 |
slopeSqTmp=SlopeX(i,j)*SlopeX(i,j) |
| 601 |
& +SlopeY(i,j)*SlopeY(i,j) |
| 602 |
|
| 603 |
IF ( slopeSqTmp .GT. slopeMax**2 ) then |
| 604 |
slopeTmp=sqrt(slopeSqTmp) |
| 605 |
SlopeX(i,j)=SlopeX(i,j)*slopeMax/slopeTmp |
| 606 |
SlopeY(i,j)=SlopeY(i,j)*slopeMax/slopeTmp |
| 607 |
ENDIF |
| 608 |
SlopeSqr(i,j) = SlopeX(i,j)*SlopeX(i,j) |
| 609 |
& +SlopeY(i,j)*SlopeY(i,j) |
| 610 |
taperFct(i,j) = 1. _d 0 |
| 611 |
ENDDO |
| 612 |
ENDDO |
| 613 |
|
| 614 |
#endif /* GMREDI_WITH_STABLE_ADJOINT */ |
| 615 |
|
| 616 |
ELSEIF (GM_taper_scheme.NE.' ') THEN |
| 617 |
STOP 'GMREDI_SLOPE_LIMIT: Bad GM_taper_scheme' |
| 618 |
ENDIF |
| 619 |
|
| 620 |
#endif /* GM_EXCLUDE_TAPERING */ |
| 621 |
|
| 622 |
ENDIF |
| 623 |
|
| 624 |
#endif /* ALLOW_GMREDI */ |
| 625 |
|
| 626 |
RETURN |
| 627 |
END |
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