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jmc |
1.7 |
C $Header: /u/gcmpack/MITgcm/pkg/gmredi/gmredi_slope_psi.F,v 1.6 2003/01/21 19:34:13 heimbach 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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1.5 |
SUBROUTINE GMREDI_SLOPE_PSI( |
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jmc |
1.7 |
O taperX, taperY, |
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jmc |
1.1 |
U SlopeX, SlopeY, |
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jmc |
1.7 |
U dSigmaDrW,dSigmaDrS, |
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I LrhoW, LrhoS, depthZ, K, |
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1.1 |
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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jmc |
1.7 |
C | dSigmaDrW,S contains the d/dz Sigma | |
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jmc |
1.1 |
C | SlopeX/Y contains X/Y gradients of sigma | |
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jmc |
1.7 |
C | depthZ contains the height (m) of level | |
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jmc |
1.1 |
C | On exit: | |
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jmc |
1.7 |
C | dSigmaDrW,S contains 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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1.7 |
_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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1.1 |
_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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1.7 |
_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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1.1 |
_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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heimbach |
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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heimbach |
1.6 |
_RL SlopeSqr(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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jmc |
1.7 |
_RL f1,Smod,f2,Rnondim |
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1.1 |
_RL maxSlopeSqr |
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1.7 |
_RL slopeCutoff |
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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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1.7 |
slopeCutoff = SQRT( GM_slopeSqCutoff ) |
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1.3 |
#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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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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heimbach |
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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1.7 |
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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heimbach |
1.3 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
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1.1 |
C- Cox 1987 "Slope clipping" |
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1.7 |
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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heimbach |
1.3 |
ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
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jmc |
1.7 |
CADJ STORE dSigmaDrLtd(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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heimbach |
1.3 |
CADJ STORE dSigmaDrW(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif |
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jmc |
1.7 |
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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heimbach |
1.3 |
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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jmc |
1.7 |
DO j=1-Oly,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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heimbach |
1.3 |
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 |
136 |
jmc |
1.7 |
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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heimbach |
1.3 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
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jmc |
1.7 |
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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heimbach |
1.3 |
ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
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jmc |
1.7 |
CADJ STORE dSigmaDrLtd(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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heimbach |
1.3 |
CADJ STORE dSigmaDrS(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif |
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jmc |
1.7 |
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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heimbach |
1.3 |
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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jmc |
1.7 |
DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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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 |
#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 |
179 |
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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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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 : |
185 |
jmc |
1.7 |
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) |
188 |
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& dSigmaDrW(i,j) = -GM_Small_Number |
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heimbach |
1.3 |
ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
192 |
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CADJ STORE dsigmadrW(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
193 |
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#endif |
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jmc |
1.7 |
DO j=1-Oly,sNy+Oly |
195 |
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DO i=1-Olx+1,sNx+Olx |
196 |
heimbach |
1.3 |
SlopeX(i,j) = -SlopeX(i,j)/dSigmaDrW(i,j) |
197 |
heimbach |
1.6 |
taperX(i,j)= 1. _d 0 |
198 |
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ENDDO |
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ENDDO |
200 |
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#ifdef ALLOW_AUTODIFF_TAMC |
201 |
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CADJ STORE slopex(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
202 |
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#endif |
203 |
jmc |
1.7 |
DO j=1-Oly,sNy+Oly |
204 |
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DO i=1-Olx+1,sNx+Olx |
205 |
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IF ( ABS(SlopeX(i,j)) .GE. slopeCutoff ) THEN |
206 |
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SlopeX(i,j) = SIGN(slopeCutoff,SlopeX(i,j)) |
207 |
heimbach |
1.6 |
taperX(i,j) = 0. _d 0 |
208 |
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ENDIF |
209 |
heimbach |
1.3 |
ENDDO |
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ENDDO |
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jmc |
1.1 |
|
212 |
heimbach |
1.3 |
#ifdef ALLOW_AUTODIFF_TAMC |
213 |
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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 |
215 |
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#endif |
216 |
jmc |
1.1 |
|
217 |
jmc |
1.7 |
DO j=1-Oly+1,sNy+Oly |
218 |
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DO i=1-Olx,sNx+Olx |
219 |
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IF (dSigmaDrS(i,j).GE.-GM_Small_Number) |
220 |
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& dSigmaDrS(i,j) = -GM_Small_Number |
221 |
heimbach |
1.3 |
ENDDO |
222 |
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ENDDO |
223 |
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#ifdef ALLOW_AUTODIFF_TAMC |
224 |
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CADJ STORE dsigmadrS(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
225 |
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#endif |
226 |
jmc |
1.7 |
DO j=1-Oly+1,sNy+Oly |
227 |
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DO i=1-Olx,sNx+Olx |
228 |
jmc |
1.1 |
SlopeY(i,j) = -SlopeY(i,j)/dSigmaDrS(i,j) |
229 |
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taperY(i,j)=1. _d 0 |
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ENDDO |
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ENDDO |
232 |
heimbach |
1.6 |
#ifdef ALLOW_AUTODIFF_TAMC |
233 |
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CADJ STORE slopey(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
234 |
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#endif |
235 |
jmc |
1.7 |
DO j=1-Oly+1,sNy+Oly |
236 |
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DO i=1-Olx,sNx+Olx |
237 |
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IF ( ABS(SlopeY(i,j)) .GE. slopeCutoff ) THEN |
238 |
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SlopeY(i,j) = SIGN(slopeCutoff,SlopeY(i,j)) |
239 |
heimbach |
1.6 |
taperY(i,j) = 0. _d 0 |
240 |
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ENDIF |
241 |
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ENDDO |
242 |
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ENDDO |
243 |
jmc |
1.1 |
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244 |
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C- Compute the tapering function for the GM+Redi tensor : |
245 |
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246 |
heimbach |
1.3 |
#ifdef ALLOW_AUTODIFF_TAMC |
247 |
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CADJ STORE slopeX(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
248 |
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CADJ STORE slopeY(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
249 |
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#endif |
250 |
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251 |
jmc |
1.1 |
IF (GM_taper_scheme.EQ.'linear') THEN |
252 |
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253 |
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C- Simplest adiabatic tapering = Smax/Slope (linear) |
254 |
jmc |
1.7 |
DO j=1-Oly,sNy+Oly |
255 |
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DO i=1-Olx+1,sNx+Olx |
256 |
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Smod = ABS(SlopeX(i,j)) |
257 |
heimbach |
1.6 |
IF ( Smod .GT. GM_maxSlope .AND. |
258 |
jmc |
1.7 |
& Smod .LT. slopeCutoff ) |
259 |
heimbach |
1.6 |
& taperX(i,j)=GM_maxSlope/(Smod+GM_Small_Number) |
260 |
jmc |
1.7 |
ENDDO |
261 |
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ENDDO |
262 |
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DO j=1-Oly+1,sNy+Oly |
263 |
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DO i=1-Olx,sNx+Olx |
264 |
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Smod = ABS(SlopeY(i,j)) |
265 |
heimbach |
1.6 |
IF ( Smod .GT. GM_maxSlope .AND. |
266 |
jmc |
1.7 |
& Smod .LT. slopeCutoff ) |
267 |
heimbach |
1.6 |
& taperY(i,j)=GM_maxSlope/(Smod+GM_Small_Number) |
268 |
jmc |
1.1 |
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 |
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maxSlopeSqr = GM_maxSlope*GM_maxSlope |
275 |
jmc |
1.7 |
DO j=1-Oly,sNy+Oly |
276 |
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DO i=1-Olx+1,sNx+Olx |
277 |
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IF ( ABS(SlopeX(i,j)) .GT. GM_maxSlope .AND. |
278 |
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& ABS(SlopeX(i,j)) .LT. slopeCutoff ) |
279 |
heimbach |
1.6 |
& taperX(i,j)=maxSlopeSqr/ |
280 |
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& ( SlopeX(i,j)*SlopeX(i,j) + GM_Small_Number ) |
281 |
jmc |
1.7 |
ENDDO |
282 |
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ENDDO |
283 |
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DO j=1-Oly+1,sNy+Oly |
284 |
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DO i=1-Olx,sNx+Olx |
285 |
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IF ( ABS(SlopeY(i,j)) .GT. GM_maxSlope .AND. |
286 |
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& ABS(SlopeY(i,j)) .LT. slopeCutoff ) |
287 |
heimbach |
1.6 |
& taperY(i,j)=maxSlopeSqr/ |
288 |
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& ( SlopeY(i,j)*SlopeY(i,j) + GM_Small_Number ) |
289 |
jmc |
1.1 |
ENDDO |
290 |
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ENDDO |
291 |
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292 |
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ELSEIF (GM_taper_scheme.EQ.'dm95') THEN |
293 |
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294 |
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C- Danabasoglu and McWilliams, J. Clim. 1995 |
295 |
jmc |
1.7 |
DO j=1-Oly,sNy+Oly |
296 |
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DO i=1-Olx+1,sNx+Olx |
297 |
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Smod = ABS(SlopeX(i,j)) |
298 |
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taperX(i,j)=op5*( 1. _d 0 + TANH( (GM_Scrit-Smod)/GM_Sd )) |
299 |
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ENDDO |
300 |
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ENDDO |
301 |
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DO j=1-Oly+1,sNy+Oly |
302 |
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DO i=1-Olx,sNx+Olx |
303 |
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Smod = ABS(SlopeY(i,j)) |
304 |
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taperY(i,j)=op5*( 1. _d 0 + TANH( (GM_Scrit-Smod)/GM_Sd )) |
305 |
jmc |
1.1 |
ENDDO |
306 |
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ENDDO |
307 |
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|
|
308 |
|
|
ELSEIF (GM_taper_scheme.EQ.'ldd97') THEN |
309 |
|
|
|
310 |
|
|
C- Large, Danabasoglu and Doney, JPO 1997 |
311 |
|
|
|
312 |
jmc |
1.7 |
DO j=1-Oly,sNy+Oly |
313 |
|
|
DO i=1-Olx+1,sNx+Olx |
314 |
|
|
Smod = ABS(SlopeX(i,j)) |
315 |
|
|
IF ( Smod .LT. slopeCutoff ) THEN |
316 |
|
|
f1=op5*( 1. _d 0 + TANH( (GM_Scrit-Smod)/GM_Sd )) |
317 |
|
|
IF (Smod.NE.0.) THEN |
318 |
|
|
Rnondim=depthZ/(LrhoW(i,j)*Smod) |
319 |
|
|
ELSE |
320 |
jmc |
1.1 |
Rnondim=0. |
321 |
jmc |
1.7 |
ENDIF |
322 |
|
|
f2=op5*( 1. _d 0 + SIN( fpi*(Rnondim-op5))) |
323 |
jmc |
1.1 |
taperX(i,j)=f1*f2 |
324 |
jmc |
1.7 |
ENDIF |
325 |
|
|
ENDDO |
326 |
|
|
ENDDO |
327 |
jmc |
1.1 |
|
328 |
jmc |
1.7 |
DO j=1-Oly+1,sNy+Oly |
329 |
|
|
DO i=1-Olx,sNx+Olx |
330 |
|
|
Smod = ABS(SlopeY(i,j)) |
331 |
|
|
IF ( Smod .LT. slopeCutoff ) THEN |
332 |
|
|
f1=op5*( 1. _d 0 + TANH( (GM_Scrit-Smod)/GM_Sd )) |
333 |
|
|
IF (Smod.NE.0.) THEN |
334 |
|
|
Rnondim=depthZ/(LrhoS(i,j)*Smod) |
335 |
|
|
ELSE |
336 |
jmc |
1.1 |
Rnondim=0. |
337 |
jmc |
1.7 |
ENDIF |
338 |
|
|
f2=op5*( 1. _d 0 + SIN( fpi*(Rnondim-op5))) |
339 |
jmc |
1.1 |
taperY(i,j)=f1*f2 |
340 |
jmc |
1.7 |
ENDIF |
341 |
jmc |
1.1 |
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 |
heimbach |
1.3 |
#endif /* BOLUS_ADVEC */ |
353 |
jmc |
1.1 |
#endif /* ALLOW_GMREDI */ |
354 |
|
|
|
355 |
|
|
RETURN |
356 |
|
|
END |