| 1 |
adcroft |
1.1 |
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| 2 |
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#include "GMREDI_OPTIONS.h" |
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CStartOfInterface |
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SUBROUTINE GMREDI_SLOPE_LIMIT( |
| 6 |
jmc |
1.8 |
I dSigmaDrReal, |
| 7 |
heimbach |
1.13 |
I depthZ,K, |
| 8 |
adcroft |
1.1 |
U SlopeX, SlopeY, |
| 9 |
heimbach |
1.13 |
U dSigmaDx, dSigmaDy, |
| 10 |
jmc |
1.8 |
O SlopeSqr, taperFct, |
| 11 |
adcroft |
1.1 |
I bi,bj, myThid ) |
| 12 |
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C /==========================================================\ |
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C | SUBROUTINE GMREDI_SLOPE_LIMIT | |
| 14 |
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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: | |
| 17 |
jmc |
1.8 |
C | dSigmaDrReal conatins the d/dz Sigma | |
| 18 |
adcroft |
1.1 |
C | SlopeX/Y contains X/Y gradients of sigma | |
| 19 |
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C | depthZ conatins the height (m) of level | |
| 20 |
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C | On exit: | |
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jmc |
1.8 |
C | dSigmaDrReal conatins the effective dSig/dz | |
| 22 |
adcroft |
1.1 |
C | SlopeX/Y contains X/Y slopes | |
| 23 |
jmc |
1.8 |
C | SlopeSqr contains Sx^2+Sy^2 | |
| 24 |
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C | taperFct contains tapering funct. value ; | |
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C | = 1 when using no tapering | |
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adcroft |
1.1 |
C \==========================================================/ |
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IMPLICIT NONE |
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| 29 |
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C == Global variables == |
| 30 |
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#include "SIZE.h" |
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heimbach |
1.12 |
#include "GRID.h" |
| 32 |
adcroft |
1.1 |
#include "EEPARAMS.h" |
| 33 |
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#include "GMREDI.h" |
| 34 |
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#include "PARAMS.h" |
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heimbach |
1.10 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 36 |
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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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adcroft |
1.1 |
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| 40 |
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C == Routine arguments == |
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C |
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_RL SlopeX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 43 |
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_RL SlopeY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 44 |
heimbach |
1.13 |
_RL dSigmaDx(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 45 |
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_RL dSigmaDy(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 46 |
adcroft |
1.1 |
_RL dSigmaDrReal(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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jmc |
1.8 |
_RL SlopeSqr(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 48 |
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_RL taperFct(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 49 |
adcroft |
1.1 |
_RL depthZ |
| 50 |
heimbach |
1.13 |
INTEGER bi,bj,K,myThid |
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adcroft |
1.1 |
CEndOfInterface |
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#ifdef ALLOW_GMREDI |
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C == Local variables == |
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_RL Small_Number |
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heimbach |
1.12 |
_RL Small_Taper |
| 58 |
heimbach |
1.7 |
PARAMETER(Small_Number=1.D-12) |
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heimbach |
1.12 |
PARAMETER(Small_Taper=1.D+03) |
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heimbach |
1.10 |
_RL gradSmod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dSigmaDrLtd(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dRdSigmaLtd(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL f1,Smod,f2,Rnondim,Cspd,Lrho |
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jmc |
1.8 |
_RL maxSlopeSqr |
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adcroft |
1.1 |
_RL fpi |
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heimbach |
1.6 |
PARAMETER(fpi=3.141592653589793047592d0) |
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adcroft |
1.1 |
INTEGER i,j |
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heimbach |
1.10 |
#ifdef ALLOW_AUTODIFF_TAMC |
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heimbach |
1.12 |
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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heimbach |
1.10 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
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| 82 |
heimbach |
1.12 |
DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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gradSmod(i,j) = 0. _d 0 |
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dSigmaDrLtd(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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jmc |
1.8 |
IF (GM_taper_scheme.EQ.'orig' .OR. |
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& GM_taper_scheme.EQ.'clipping') THEN |
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adcroft |
1.1 |
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| 92 |
heimbach |
1.13 |
#if (defined (GM_TAPER_ORIG_CLIPPING)) |
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adcroft |
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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jmc |
1.8 |
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C- Cox 1987 "Slope clipping" |
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adcroft |
1.1 |
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 |
1.13 |
IF ( DSigmaDX(i,j)*DSigmaDX(i,j) + |
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& DSigmaDY(i,j)*DSigmaDY(i,j) |
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heimbach |
1.12 |
& .EQ. 0. ) THEN |
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gradSmod(i,j) = 0. _d 0 |
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ELSE |
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heimbach |
1.13 |
gradSmod(i,j) = sqrt(DSigmaDX(i,j)*DSigmaDX(i,j) |
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& +DSigmaDY(i,j)*DSigmaDY(i,j)) |
| 107 |
heimbach |
1.12 |
ENDIF |
| 108 |
heimbach |
1.10 |
ENDDO |
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ENDDO |
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adcroft |
1.1 |
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| 111 |
heimbach |
1.10 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 112 |
heimbach |
1.13 |
cnostore CADJ STORE gradSmod(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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cnostore CADJ STORE dSigmaDrReal(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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heimbach |
1.10 |
#endif |
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| 116 |
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DO j=1-Oly+1,sNy+Oly-1 |
| 117 |
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DO i=1-Olx+1,sNx+Olx-1 |
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heimbach |
1.12 |
IF (gradSmod(i,j) .NE. 0.) THEN |
| 119 |
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dSigmaDrLtd(i,j) = -gradSmod(i,j)*GM_rMaxSlope |
| 120 |
heimbach |
1.13 |
IF ( dSigmaDrReal(i,j) .GE. |
| 121 |
heimbach |
1.14 |
& dSigmaDrLtd(i,j) ) |
| 122 |
heimbach |
1.13 |
& dSigmaDrReal(i,j) = |
| 123 |
heimbach |
1.14 |
& dSigmaDrLtd(i,j) |
| 124 |
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cph IF ( dSigmaDrReal(i,j) .GE. |
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cph & GM_adjointRescale*dSigmaDrLtd(i,j) ) |
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cph & dSigmaDrReal(i,j) = |
| 127 |
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cph & dSigmaDrLtd(i,j)*GM_adjointRescale |
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heimbach |
1.13 |
ctest dSigmaDrReal(i,j) = dSigmaDrLtd(i,j) |
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heimbach |
1.12 |
ENDIF |
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heimbach |
1.10 |
ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
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heimbach |
1.13 |
cnostore CADJ STORE slopeX(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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cnostore CADJ STORE slopeY(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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cnostore CADJ STORE dSigmaDrReal(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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heimbach |
1.10 |
#endif |
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| 139 |
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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 |
1.12 |
IF (gradSmod(i,j) .EQ. 0.) THEN |
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SlopeX(i,j) = 0. _d 0 |
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SlopeY(i,j) = 0. _d 0 |
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ELSE |
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heimbach |
1.13 |
dRdSigmaLtd(i,j) = 1./( dSigmaDrReal(i,j) ) |
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SlopeX(i,j)=-DSigmaDX(i,j)*dRdSigmaLtd(i,j) |
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SlopeY(i,j)=-DSigmaDY(i,j)*dRdSigmaLtd(i,j) |
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heimbach |
1.12 |
ENDIF |
| 149 |
heimbach |
1.10 |
ENDDO |
| 150 |
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ENDDO |
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adcroft |
1.1 |
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| 152 |
heimbach |
1.10 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 153 |
heimbach |
1.13 |
cnostore CADJ STORE slopeX(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
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cnostore CADJ STORE slopeY(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 155 |
heimbach |
1.10 |
#endif |
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jmc |
1.8 |
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| 157 |
heimbach |
1.10 |
DO j=1-Oly+1,sNy+Oly-1 |
| 158 |
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DO i=1-Olx+1,sNx+Olx-1 |
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jmc |
1.8 |
SlopeSqr(i,j)=SlopeX(i,j)*SlopeX(i,j) |
| 160 |
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& +SlopeY(i,j)*SlopeY(i,j) |
| 161 |
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taperFct(i,j)=1. _d 0 |
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adcroft |
1.1 |
ENDDO |
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ENDDO |
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| 165 |
heimbach |
1.13 |
#else |
| 166 |
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| 167 |
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STOP 'Need to set runtime flag GM_taper_scheme correctly' |
| 168 |
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| 169 |
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#endif /* GM_TAPER_ORIG_CLIPPING */ |
| 170 |
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| 171 |
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ELSE IF (GM_taper_scheme.EQ.'ac02') THEN |
| 172 |
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| 173 |
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#if (defined (GM_TAPER_AC02)) |
| 174 |
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| 175 |
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DO j=1-Oly+1,sNy+Oly-1 |
| 176 |
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DO i=1-Olx+1,sNx+Olx-1 |
| 177 |
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dRdSigmaLtd(i,j)= |
| 178 |
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& dSigmaDx(i,j)*dSigmaDx(i,j) |
| 179 |
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& + dSigmaDy(i,j)*dSigmaDy(i,j) |
| 180 |
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& + dSigmaDrReal(i,j)**2 |
| 181 |
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ctest |
| 182 |
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IF (dRdSigmaLtd(i,j).NE.0.) then |
| 183 |
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dRdSigmaLtd(i,j)=1. _d 0 |
| 184 |
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& / ( dRdSigmaLtd(i,j) ) |
| 185 |
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SlopeSqr(i,j)=(dSigmaDx(i,j)*dSigmaDx(i,j) |
| 186 |
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& +dSigmaDy(i,j)*dSigmaDy(i,j))*dRdSigmaLtd(i,j) |
| 187 |
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SlopeX(i,j)=-dSigmaDx(i,j) |
| 188 |
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& *dRdSigmaLtd(i,j)*dSigmaDrReal(i,j) |
| 189 |
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SlopeY(i,j)=-dSigmaDy(i,j) |
| 190 |
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& *dRdSigmaLtd(i,j)*dSigmaDrReal(i,j) |
| 191 |
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cph T11(i,j)=(dSigmaDrReal(i,j)**2)*dRdSigmaLtd(i,j) |
| 192 |
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taperFct(i,j) = 1. _d 0 |
| 193 |
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cph ELSE |
| 194 |
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cph SlopeSqr(i,j) = 0. _d 0 |
| 195 |
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cph SlopeX(i,j) = 0. _d 0 |
| 196 |
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cph SlopeY(i,j) = 0. _d 0 |
| 197 |
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cph T11(i,j) = 0. _d 0 |
| 198 |
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cph taperFct(i,j) = 0. _d 0 |
| 199 |
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ENDIF |
| 200 |
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cph IF ( SlopeSqr(i,j) .GT. GM_maxSlope**2 ) THEN |
| 201 |
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cph taperFct(i,j) = GM_maxSlope**2/SlopeSqr(i,j) |
| 202 |
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cph ENDIF |
| 203 |
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ENDDO |
| 204 |
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ENDDO |
| 205 |
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| 206 |
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#else |
| 207 |
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| 208 |
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STOP 'Need to set runtime flag GM_taper_scheme correctly' |
| 209 |
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| 210 |
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#endif /* GM_TAPER_AC02 */ |
| 211 |
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| 212 |
jmc |
1.8 |
ELSE |
| 213 |
adcroft |
1.1 |
|
| 214 |
heimbach |
1.13 |
#if (defined (GM_TAPER_REST)) |
| 215 |
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| 216 |
heimbach |
1.12 |
C---------------------------------------------------------------------- |
| 217 |
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| 218 |
heimbach |
1.10 |
C- Compute the slope, no clipping, but avoid reverse slope in negatively |
| 219 |
jmc |
1.8 |
C stratified (Sigma_Z > 0) region : |
| 220 |
heimbach |
1.10 |
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| 221 |
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#ifdef ALLOW_AUTODIFF_TAMC |
| 222 |
heimbach |
1.13 |
cnostore CADJ STORE dSigmaDrReal(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 223 |
heimbach |
1.10 |
#endif |
| 224 |
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| 225 |
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DO j=1-Oly+1,sNy+Oly-1 |
| 226 |
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DO i=1-Olx+1,sNx+Olx-1 |
| 227 |
heimbach |
1.12 |
IF ( dSigmaDrReal(i,j) .NE. 0. ) THEN |
| 228 |
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IF (dSigmaDrReal(i,j).GE.(-Small_Number)) |
| 229 |
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& dSigmaDrReal(i,j) = -Small_Number |
| 230 |
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ENDIF |
| 231 |
heimbach |
1.10 |
ENDDO |
| 232 |
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ENDDO |
| 233 |
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| 234 |
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#ifdef ALLOW_AUTODIFF_TAMC |
| 235 |
heimbach |
1.13 |
cnostore CADJ STORE dSigmaDx(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 236 |
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cnostore CADJ STORE dSigmaDy(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 237 |
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cnostore CADJ STORE dSigmaDrReal(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 238 |
heimbach |
1.10 |
#endif |
| 239 |
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| 240 |
adcroft |
1.1 |
DO j=1-Oly+1,sNy+Oly-1 |
| 241 |
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DO i=1-Olx+1,sNx+Olx-1 |
| 242 |
heimbach |
1.12 |
IF ( dSigmaDrReal(i,j) .EQ. 0. ) THEN |
| 243 |
heimbach |
1.14 |
IF ( dSigmaDx(i,j) .NE. 0. ) THEN |
| 244 |
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SlopeX(i,j) = SIGN(Small_taper,dSigmaDx(i,j)) |
| 245 |
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ELSE |
| 246 |
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SlopeX(i,j) = 0. _d 0 |
| 247 |
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ENDIF |
| 248 |
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IF ( dSigmaDy(i,j) .NE. 0. ) THEN |
| 249 |
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SlopeY(i,j) = SIGN(Small_taper,dSigmaDy(i,j)) |
| 250 |
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ELSE |
| 251 |
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SlopeY(i,j) = 0. _d 0 |
| 252 |
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ENDIF |
| 253 |
heimbach |
1.12 |
ELSE |
| 254 |
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dRdSigmaLtd(i,j) = 1./dSigmaDrReal(i,j) |
| 255 |
heimbach |
1.13 |
SlopeX(i,j) = -dSigmaDx(i,j)*dRdSigmaLtd(i,j) |
| 256 |
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SlopeY(i,j) = -dSigmaDy(i,j)*dRdSigmaLtd(i,j) |
| 257 |
heimbach |
1.12 |
ENDIF |
| 258 |
heimbach |
1.10 |
ENDDO |
| 259 |
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ENDDO |
| 260 |
adcroft |
1.1 |
|
| 261 |
heimbach |
1.10 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 262 |
heimbach |
1.13 |
cnostore CADJ STORE slopeX(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 263 |
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cnostore CADJ STORE slopeY(:,:) = comlev1_bibj, key=ikey, byte=isbyte |
| 264 |
heimbach |
1.10 |
#endif |
| 265 |
jmc |
1.8 |
|
| 266 |
heimbach |
1.10 |
DO j=1-Oly+1,sNy+Oly-1 |
| 267 |
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DO i=1-Olx+1,sNx+Olx-1 |
| 268 |
heimbach |
1.12 |
SlopeSqr(i,j) = SlopeX(i,j)*SlopeX(i,j) |
| 269 |
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& +SlopeY(i,j)*SlopeY(i,j) |
| 270 |
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taperFct(i,j) = 1. _d 0 |
| 271 |
jmc |
1.8 |
ENDDO |
| 272 |
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ENDDO |
| 273 |
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| 274 |
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C- Compute the tapering function for the GM+Redi tensor : |
| 275 |
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| 276 |
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IF (GM_taper_scheme.EQ.'linear') THEN |
| 277 |
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| 278 |
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C- Simplest adiabatic tapering = Smax/Slope (linear) |
| 279 |
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maxSlopeSqr = GM_maxSlope*GM_maxSlope |
| 280 |
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DO j=1-Oly+1,sNy+Oly-1 |
| 281 |
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DO i=1-Olx+1,sNx+Olx-1 |
| 282 |
adcroft |
1.1 |
|
| 283 |
heimbach |
1.12 |
IF ( SlopeSqr(i,j) .EQ. 0. ) THEN |
| 284 |
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taperFct(i,j) = 1. _d 0 |
| 285 |
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ELSE IF ( SlopeSqr(i,j) .GT. maxSlopeSqr ) THEN |
| 286 |
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taperFct(i,j) = sqrt(maxSlopeSqr / SlopeSqr(i,j)) |
| 287 |
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ENDIF |
| 288 |
adcroft |
1.1 |
|
| 289 |
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ENDDO |
| 290 |
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ENDDO |
| 291 |
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| 292 |
jmc |
1.8 |
ELSEIF (GM_taper_scheme.EQ.'gkw91') THEN |
| 293 |
adcroft |
1.1 |
|
| 294 |
|
|
C- Gerdes, Koberle and Willebrand, Clim. Dyn. 1991 |
| 295 |
jmc |
1.8 |
maxSlopeSqr = GM_maxSlope*GM_maxSlope |
| 296 |
adcroft |
1.1 |
DO j=1-Oly+1,sNy+Oly-1 |
| 297 |
|
|
DO i=1-Olx+1,sNx+Olx-1 |
| 298 |
|
|
|
| 299 |
heimbach |
1.12 |
IF ( SlopeSqr(i,j) .EQ. 0. ) THEN |
| 300 |
|
|
taperFct(i,j) = 1. _d 0 |
| 301 |
|
|
ELSE IF ( SlopeSqr(i,j) .GT. maxSlopeSqr ) THEN |
| 302 |
|
|
taperFct(i,j) = maxSlopeSqr/SlopeSqr(i,j) |
| 303 |
|
|
ENDIF |
| 304 |
adcroft |
1.1 |
|
| 305 |
|
|
ENDDO |
| 306 |
|
|
ENDDO |
| 307 |
|
|
|
| 308 |
jmc |
1.8 |
ELSEIF (GM_taper_scheme.EQ.'dm95') THEN |
| 309 |
adcroft |
1.1 |
|
| 310 |
|
|
C- Danabasoglu and McWilliams, J. Clim. 1995 |
| 311 |
|
|
DO j=1-Oly+1,sNy+Oly-1 |
| 312 |
|
|
DO i=1-Olx+1,sNx+Olx-1 |
| 313 |
|
|
|
| 314 |
heimbach |
1.12 |
IF ( SlopeSqr(i,j) .EQ. 0. ) THEN |
| 315 |
|
|
taperFct(i,j) = 1. _d 0 |
| 316 |
|
|
ELSE |
| 317 |
|
|
Smod=sqrt(SlopeSqr(i,j)) |
| 318 |
|
|
taperFct(i,j)=0.5*(1.+tanh( (GM_Scrit-Smod)/GM_Sd )) |
| 319 |
|
|
ENDIF |
| 320 |
adcroft |
1.1 |
ENDDO |
| 321 |
|
|
ENDDO |
| 322 |
|
|
|
| 323 |
jmc |
1.8 |
ELSEIF (GM_taper_scheme.EQ.'ldd97') THEN |
| 324 |
adcroft |
1.1 |
|
| 325 |
|
|
C- Large, Danabasoglu and Doney, JPO 1997 |
| 326 |
|
|
DO j=1-Oly+1,sNy+Oly-1 |
| 327 |
|
|
DO i=1-Olx+1,sNx+Olx-1 |
| 328 |
|
|
|
| 329 |
heimbach |
1.12 |
IF (SlopeSqr(i,j) .EQ. 0.) THEN |
| 330 |
|
|
taperFct(i,j) = 1. _d 0 |
| 331 |
|
|
ELSE |
| 332 |
|
|
Smod=sqrt(SlopeSqr(i,j)) |
| 333 |
|
|
f1=0.5*(1.+tanh( (GM_Scrit-Smod)/GM_Sd )) |
| 334 |
|
|
Cspd=2. |
| 335 |
|
|
Lrho=100. _d 3 |
| 336 |
|
|
if (FCori(i,j,bi,bj).NE.0.) Lrho=Cspd/abs(Fcori(i,j,bi,bj)) |
| 337 |
|
|
Lrho=min(Lrho , 100. _d 3) |
| 338 |
|
|
Lrho=max(Lrho , 15. _d 3) |
| 339 |
|
|
Rnondim=depthZ/(Lrho*Smod) |
| 340 |
|
|
f2=0.5*(1.+sin( fpi*(Rnondim-0.5))) |
| 341 |
|
|
taperFct(i,j)=f1*f2 |
| 342 |
|
|
ENDIF |
| 343 |
adcroft |
1.1 |
|
| 344 |
|
|
ENDDO |
| 345 |
|
|
ENDDO |
| 346 |
|
|
|
| 347 |
jmc |
1.9 |
ELSEIF (GM_taper_scheme.NE.' ') THEN |
| 348 |
|
|
STOP 'GMREDI_SLOPE_LIMIT: Bad GM_taper_scheme' |
| 349 |
jmc |
1.8 |
ENDIF |
| 350 |
heimbach |
1.13 |
|
| 351 |
|
|
#endif |
| 352 |
adcroft |
1.1 |
|
| 353 |
jmc |
1.8 |
ENDIF |
| 354 |
adcroft |
1.1 |
|
| 355 |
|
|
|
| 356 |
|
|
#endif /* ALLOW_GMREDI */ |
| 357 |
|
|
|
| 358 |
|
|
RETURN |
| 359 |
|
|
END |
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