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heimbach |
1.6 |
C $Header: /u/gcmpack/MITgcm/pkg/gmredi/gmredi_slope_psi.F,v 1.5 2003/01/12 21:27:20 jmc Exp $ |
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jmc |
1.1 |
C $Name: $ |
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#include "GMREDI_OPTIONS.h" |
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CStartOfInterface |
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jmc |
1.5 |
SUBROUTINE GMREDI_SLOPE_PSI( |
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jmc |
1.1 |
I dSigmaDrW,dSigmaDrS, |
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heimbach |
1.3 |
I depthZ,K, |
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jmc |
1.1 |
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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1.5 |
C | SUBROUTINE GMREDI_SLOPE_PSI | |
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1.1 |
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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heimbach |
1.3 |
C | dSigmaDrW conatins the d/dz Sigma | |
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jmc |
1.1 |
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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heimbach |
1.3 |
C | dSigmaDrW conatins the effective dSig/dz | |
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1.1 |
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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heimbach |
1.3 |
#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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1.1 |
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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heimbach |
1.3 |
INTEGER K,bi,bj,myThid |
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1.1 |
CEndOfInterface |
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#ifdef ALLOW_GMREDI |
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1.3 |
#ifdef GM_BOLUS_ADVEC |
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1.1 |
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C == Local variables == |
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1.3 |
_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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heimbach |
1.6 |
_RL SlopeSqr(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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heimbach |
1.3 |
_RL f1,Smod,f2,Rnondim,Cspd,Lrho |
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1.1 |
_RL maxSlopeSqr |
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heimbach |
1.6 |
_RL tmpvar |
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1.1 |
_RL fpi |
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PARAMETER(fpi=3.141592653589793047592d0) |
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INTEGER i,j |
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heimbach |
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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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heimbach |
1.6 |
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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1.3 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
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1.1 |
IF (GM_taper_scheme.EQ.'orig' .OR. |
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& GM_taper_scheme.EQ.'clipping') THEN |
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heimbach |
1.6 |
#ifdef GM_EXCLUDE_CLIPPING |
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STOP 'Need to compile without "#define GM_EXCLUDE_CLIPPING"' |
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#else /* GM_EXCLUDE_CLIPPING */ |
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1.1 |
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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heimbach |
1.3 |
C-- X-comp |
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#ifdef ALLOW_AUTODIFF_TAMC |
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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(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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1.1 |
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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heimbach |
1.3 |
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+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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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+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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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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jmc |
1.1 |
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heimbach |
1.3 |
C-- Y-comp |
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jmc |
1.1 |
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heimbach |
1.3 |
#ifdef ALLOW_AUTODIFF_TAMC |
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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(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-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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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-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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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-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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1.1 |
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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heimbach |
1.6 |
#endif /* GM_EXCLUDE_CLIPPING */ |
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jmc |
1.1 |
ELSE |
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heimbach |
1.6 |
#ifdef GM_EXCLUDE_TAPERING |
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STOP 'Need to compile without "#define GM_EXCLUDE_TAPERING"' |
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#else /* GM_EXCLUDE_TAPERING */ |
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heimbach |
1.3 |
#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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heimbach |
1.6 |
tmpvar = sqrt( GM_slopeSqCutoff ) |
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jmc |
1.1 |
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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heimbach |
1.3 |
dsigmadrltd(i,j) = -GM_Small_Number |
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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+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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drdsigmaltd(i,j) = 1./dSigmaDrW(i,j) |
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SlopeX(i,j) = -SlopeX(i,j)/dSigmaDrW(i,j) |
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heimbach |
1.6 |
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+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)) .GE. tmpvar ) THEN |
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SlopeX(i,j) = SIGN(tmpvar,SlopeX(i,j)) |
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taperX(i,j) = 0. _d 0 |
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ENDIF |
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heimbach |
1.3 |
ENDDO |
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ENDDO |
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jmc |
1.1 |
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heimbach |
1.3 |
#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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jmc |
1.1 |
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heimbach |
1.3 |
DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
220 |
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dsigmadrltd(i,j) = -GM_Small_Number |
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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 |
226 |
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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-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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jmc |
1.1 |
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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heimbach |
1.6 |
#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE slopey(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
236 |
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#endif |
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DO j=1-Oly+1,sNy+Oly-1 |
238 |
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DO i=1-Olx+1,sNx+Olx-1 |
239 |
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IF ( ABS(SlopeY(i,j)) .GE. tmpvar ) THEN |
240 |
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SlopeY(i,j) = SIGN(tmpvar,SlopeY(i,j)) |
241 |
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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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jmc |
1.1 |
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C- Compute the tapering function for the GM+Redi tensor : |
247 |
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248 |
heimbach |
1.3 |
#ifdef ALLOW_AUTODIFF_TAMC |
249 |
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CADJ STORE slopeX(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE slopeY(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
251 |
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#endif |
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253 |
jmc |
1.1 |
IF (GM_taper_scheme.EQ.'linear') THEN |
254 |
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255 |
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C- Simplest adiabatic tapering = Smax/Slope (linear) |
256 |
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DO j=1-Oly+1,sNy+Oly-1 |
257 |
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DO i=1-Olx+1,sNx+Olx-1 |
258 |
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259 |
heimbach |
1.6 |
Smod = abs(SlopeX(i,j)) |
260 |
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IF ( Smod .GT. GM_maxSlope .AND. |
261 |
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& Smod .LT. tmpvar ) |
262 |
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& taperX(i,j)=GM_maxSlope/(Smod+GM_Small_Number) |
263 |
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Smod = abs(SlopeY(i,j)) |
264 |
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IF ( Smod .GT. GM_maxSlope .AND. |
265 |
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& Smod .LT. tmpvar ) |
266 |
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& taperY(i,j)=GM_maxSlope/(Smod+GM_Small_Number) |
267 |
jmc |
1.1 |
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268 |
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ENDDO |
269 |
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ENDDO |
270 |
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271 |
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ELSEIF (GM_taper_scheme.EQ.'gkw91') THEN |
272 |
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273 |
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C- Gerdes, Koberle and Willebrand, Clim. Dyn. 1991 |
274 |
heimbach |
1.6 |
|
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jmc |
1.1 |
maxSlopeSqr = GM_maxSlope*GM_maxSlope |
276 |
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DO j=1-Oly+1,sNy+Oly-1 |
277 |
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DO i=1-Olx+1,sNx+Olx-1 |
278 |
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279 |
heimbach |
1.6 |
IF ( abs(SlopeX(i,j)) .GT. GM_maxSlope .AND. |
280 |
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& abs(SlopeX(i,j)) .LT. tmpvar ) |
281 |
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& taperX(i,j)=maxSlopeSqr/ |
282 |
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& ( SlopeX(i,j)*SlopeX(i,j) + GM_Small_Number ) |
283 |
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IF ( abs(SlopeY(i,j)) .GT. GM_maxSlope .AND. |
284 |
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& abs(SlopeY(i,j)) .LT. tmpvar ) |
285 |
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& taperY(i,j)=maxSlopeSqr/ |
286 |
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& ( SlopeY(i,j)*SlopeY(i,j) + GM_Small_Number ) |
287 |
jmc |
1.1 |
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288 |
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ENDDO |
289 |
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ENDDO |
290 |
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291 |
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ELSEIF (GM_taper_scheme.EQ.'dm95') THEN |
292 |
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293 |
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C- Danabasoglu and McWilliams, J. Clim. 1995 |
294 |
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DO j=1-Oly+1,sNy+Oly-1 |
295 |
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DO i=1-Olx+1,sNx+Olx-1 |
296 |
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297 |
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Smod = abs(SlopeX(i,j)) |
298 |
heimbach |
1.4 |
taperX(i,j)=op5*( 1. _d 0 + tanh( (GM_Scrit-Smod)/GM_Sd )) |
299 |
jmc |
1.1 |
Smod = abs(SlopeY(i,j)) |
300 |
heimbach |
1.4 |
taperY(i,j)=op5*( 1. _d 0 + tanh( (GM_Scrit-Smod)/GM_Sd )) |
301 |
jmc |
1.1 |
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302 |
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ENDDO |
303 |
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ENDDO |
304 |
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305 |
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ELSEIF (GM_taper_scheme.EQ.'ldd97') THEN |
306 |
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307 |
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C- Large, Danabasoglu and Doney, JPO 1997 |
308 |
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DO j=1-Oly+1,sNy+Oly-1 |
309 |
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DO i=1-Olx+1,sNx+Olx-1 |
310 |
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311 |
heimbach |
1.4 |
Cspd=2. _d 0 |
312 |
jmc |
1.5 |
Lrho=100. _d 3 |
313 |
|
|
if (fCori(i,j,bi,bj).NE.0.) Lrho=Cspd/abs(fCori(i,j,bi,bj)) |
314 |
heimbach |
1.2 |
Lrho=min(Lrho , 100. _d 3) |
315 |
|
|
Lrho=max(Lrho , 15. _d 3) |
316 |
jmc |
1.1 |
|
317 |
|
|
Smod = abs(SlopeX(i,j)) |
318 |
heimbach |
1.6 |
if ( Smod .LT. tmpvar ) then |
319 |
heimbach |
1.4 |
f1=op5*( 1. _d 0 + tanh( (GM_Scrit-Smod)/GM_Sd )) |
320 |
jmc |
1.1 |
if (Smod.NE.0.) then |
321 |
|
|
Rnondim=depthZ/(Lrho*Smod) |
322 |
|
|
else |
323 |
|
|
Rnondim=0. |
324 |
|
|
endif |
325 |
heimbach |
1.4 |
f2=op5*( 1. _d 0 + sin( fpi*(Rnondim-op5))) |
326 |
jmc |
1.1 |
taperX(i,j)=f1*f2 |
327 |
heimbach |
1.6 |
endif |
328 |
jmc |
1.1 |
|
329 |
|
|
Smod = abs(SlopeY(i,j)) |
330 |
heimbach |
1.6 |
if ( Smod .LT. tmpvar ) then |
331 |
jmc |
1.5 |
f1=op5*( 1. _d 0 + tanh( (GM_Scrit-Smod)/GM_Sd )) |
332 |
jmc |
1.1 |
if (Smod.NE.0.) then |
333 |
|
|
Rnondim=depthZ/(Lrho*Smod) |
334 |
|
|
else |
335 |
|
|
Rnondim=0. |
336 |
|
|
endif |
337 |
jmc |
1.5 |
f2=op5*( 1. _d 0 + sin( fpi*(Rnondim-op5))) |
338 |
jmc |
1.1 |
taperY(i,j)=f1*f2 |
339 |
heimbach |
1.6 |
endif |
340 |
jmc |
1.1 |
|
341 |
|
|
ENDDO |
342 |
|
|
ENDDO |
343 |
|
|
|
344 |
|
|
ELSEIF (GM_taper_scheme.NE.' ') THEN |
345 |
|
|
STOP 'GMREDI_SLOPE_PSI: Bad GM_taper_scheme' |
346 |
|
|
ENDIF |
347 |
heimbach |
1.6 |
|
348 |
|
|
#endif /* GM_EXCLUDE_TAPERING */ |
349 |
jmc |
1.1 |
|
350 |
|
|
ENDIF |
351 |
|
|
|
352 |
|
|
|
353 |
heimbach |
1.3 |
#endif /* BOLUS_ADVEC */ |
354 |
jmc |
1.1 |
#endif /* ALLOW_GMREDI */ |
355 |
|
|
|
356 |
|
|
RETURN |
357 |
|
|
END |