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C $Header: /u/gcmpack/MITgcm/pkg/gmredi/gmredi_calc_tensor.F,v 1.24 2006/06/20 22:55:08 jmc Exp $ |
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C $Name: $ |
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|
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#include "GMREDI_OPTIONS.h" |
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|
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CStartOfInterface |
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SUBROUTINE GMREDI_CALC_TENSOR( |
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I bi, bj, iMin, iMax, jMin, jMax, |
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I sigmaX, sigmaY, sigmaR, |
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I myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE GMREDI_CALC_TENSOR | |
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C | o Calculate tensor elements for GM/Redi tensor. | |
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C |==========================================================| |
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C \==========================================================/ |
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IMPLICIT NONE |
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|
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C == Global variables == |
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#include "SIZE.h" |
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#include "GRID.h" |
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#include "DYNVARS.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GMREDI.h" |
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#include "GMREDI_TAVE.h" |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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#include "tamc.h" |
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#include "tamc_keys.h" |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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C == Routine arguments == |
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C |
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_RL sigmaX(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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_RL sigmaY(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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_RL sigmaR(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
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INTEGER myThid |
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CEndOfInterface |
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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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INTEGER i,j,k,kp1 |
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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 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 dSigmaDr(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 maskp1, Kgm_tmp |
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_RL ldd97_LrhoC(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL ldd97_LrhoW(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL ldd97_LrhoS(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL Cspd, LrhoInf, LrhoSup, fCoriLoc |
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|
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#ifdef GM_VISBECK_VARIABLE_K |
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_RL deltaH,zero_rs |
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PARAMETER(zero_rs=0.D0) |
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_RL N2,SN |
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_RL Ssq(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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#endif |
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|
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#ifdef ALLOW_DIAGNOSTICS |
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LOGICAL doDiagRediFlx |
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LOGICAL DIAGNOSTICS_IS_ON |
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EXTERNAL DIAGNOSTICS_IS_ON |
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INTEGER km1 |
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_RL dTdz |
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_RL tmp1k(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#endif |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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act1 = bi - myBxLo(myThid) |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
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act2 = bj - myByLo(myThid) |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
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act3 = myThid - 1 |
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max3 = nTx*nTy |
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act4 = ikey_dynamics - 1 |
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igmkey = (act1 + 1) + act2*max1 |
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& + act3*max1*max2 |
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& + act4*max1*max2*max3 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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#ifdef ALLOW_DIAGNOSTICS |
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doDiagRediFlx = .FALSE. |
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IF ( useDiagnostics ) THEN |
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doDiagRediFlx = DIAGNOSTICS_IS_ON('GM_KuzTz', myThid ) |
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doDiagRediFlx = doDiagRediFlx .OR. |
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& DIAGNOSTICS_IS_ON('GM_KvzTz', myThid ) |
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ENDIF |
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#endif |
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|
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#ifdef GM_VISBECK_VARIABLE_K |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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VisbeckK(i,j,bi,bj) = 0. _d 0 |
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ENDDO |
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ENDDO |
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#endif |
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|
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C-- set ldd97_Lrho (for tapering scheme ldd97): |
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IF (GM_taper_scheme.EQ.'ldd97') THEN |
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Cspd = 2. _d 0 |
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LrhoInf = 15. _d 3 |
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LrhoSup = 100. _d 3 |
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C- Tracer point location (center): |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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IF (fCori(i,j,bi,bj).NE.0.) THEN |
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ldd97_LrhoC(i,j) = Cspd/ABS(fCori(i,j,bi,bj)) |
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ELSE |
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ldd97_LrhoC(i,j) = LrhoSup |
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ENDIF |
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ldd97_LrhoC(i,j) = MAX(LrhoInf,MIN(ldd97_LrhoC(i,j),LrhoSup)) |
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ENDDO |
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ENDDO |
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C- U point location (West): |
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DO j=1-Oly,sNy+Oly |
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ldd97_LrhoW(1-Olx,j) = LrhoSup |
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DO i=1-Olx+1,sNx+Olx |
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fCoriLoc = op5*(fCori(i-1,j,bi,bj)+fCori(i,j,bi,bj)) |
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IF (fCoriLoc.NE.0.) THEN |
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ldd97_LrhoW(i,j) = Cspd/ABS(fCoriLoc) |
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ELSE |
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ldd97_LrhoW(i,j) = LrhoSup |
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ENDIF |
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ldd97_LrhoW(i,j) = MAX(LrhoInf,MIN(ldd97_LrhoW(i,j),LrhoSup)) |
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ENDDO |
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ENDDO |
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C- V point location (South): |
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DO i=1-Olx+1,sNx+Olx |
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ldd97_LrhoS(i,1-Oly) = LrhoSup |
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ENDDO |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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fCoriLoc = op5*(fCori(i,j-1,bi,bj)+fCori(i,j,bi,bj)) |
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IF (fCoriLoc.NE.0.) THEN |
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ldd97_LrhoS(i,j) = Cspd/ABS(fCoriLoc) |
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ELSE |
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ldd97_LrhoS(i,j) = LrhoSup |
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ENDIF |
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ldd97_LrhoS(i,j) = MAX(LrhoInf,MIN(ldd97_LrhoS(i,j),LrhoSup)) |
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ENDDO |
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ENDDO |
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ELSE |
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C- Just initialize to zero (not use anyway) |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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ldd97_LrhoC(i,j) = 0. _d 0 |
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ldd97_LrhoW(i,j) = 0. _d 0 |
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ldd97_LrhoS(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ENDIF |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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DO k=2,Nr |
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C-- 1rst loop on k : compute Tensor Coeff. at W points. |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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kkey = (igmkey-1)*Nr + k |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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SlopeX(i,j) = 0. _d 0 |
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SlopeY(i,j) = 0. _d 0 |
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dSigmaDx(i,j) = 0. _d 0 |
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dSigmaDy(i,j) = 0. _d 0 |
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dSigmaDr(i,j) = 0. _d 0 |
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SlopeSqr(i,j) = 0. _d 0 |
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taperFct(i,j) = 0. _d 0 |
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Kwx(i,j,k,bi,bj) = 0. _d 0 |
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Kwy(i,j,k,bi,bj) = 0. _d 0 |
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Kwz(i,j,k,bi,bj) = 0. _d 0 |
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# ifdef GM_NON_UNITY_DIAGONAL |
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Kux(i,j,k,bi,bj) = 0. _d 0 |
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Kvy(i,j,k,bi,bj) = 0. _d 0 |
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# endif |
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# ifdef GM_EXTRA_DIAGONAL |
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Kuz(i,j,k,bi,bj) = 0. _d 0 |
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Kvz(i,j,k,bi,bj) = 0. _d 0 |
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# endif |
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# ifdef GM_BOLUS_ADVEC |
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GM_PsiX(i,j,k,bi,bj) = 0. _d 0 |
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GM_PsiY(i,j,k,bi,bj) = 0. _d 0 |
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# endif |
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ENDDO |
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ENDDO |
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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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C Gradient of Sigma at rVel points |
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dSigmaDx(i,j)=op25*( sigmaX(i+1, j ,k-1) +sigmaX(i,j,k-1) |
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& +sigmaX(i+1, j , k ) +sigmaX(i,j, k ) ) |
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& *maskC(i,j,k,bi,bj) |
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dSigmaDy(i,j)=op25*( sigmaY( i ,j+1,k-1) +sigmaY(i,j,k-1) |
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& +sigmaY( i ,j+1, k ) +sigmaY(i,j, k ) ) |
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& *maskC(i,j,k,bi,bj) |
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dSigmaDr(i,j)=sigmaR(i,j,k) |
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE dSigmaDx(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE dSigmaDy(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE dSigmaDr(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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C Calculate slopes for use in tensor, taper and/or clip |
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CALL GMREDI_SLOPE_LIMIT( |
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O SlopeX, SlopeY, |
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O SlopeSqr, taperFct, |
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U dSigmaDr, |
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I dSigmaDx, dSigmaDy, |
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I ldd97_LrhoC,rF(k),k, |
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I bi, bj, myThid ) |
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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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|
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C Mask Iso-neutral slopes |
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SlopeX(i,j)=SlopeX(i,j)*maskC(i,j,k,bi,bj) |
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SlopeY(i,j)=SlopeY(i,j)*maskC(i,j,k,bi,bj) |
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SlopeSqr(i,j)=SlopeSqr(i,j)*maskC(i,j,k,bi,bj) |
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|
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE SlopeX(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE SlopeY(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE SlopeSqr(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE dSigmaDr(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE taperFct(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
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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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|
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C Components of Redi/GM tensor |
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Kwx(i,j,k,bi,bj)= SlopeX(i,j)*taperFct(i,j) |
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Kwy(i,j,k,bi,bj)= SlopeY(i,j)*taperFct(i,j) |
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Kwz(i,j,k,bi,bj)= SlopeSqr(i,j)*taperFct(i,j) |
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|
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#ifdef GM_VISBECK_VARIABLE_K |
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|
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C- note (jmc) : moved here since only used in VISBECK_VARIABLE_K |
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C but do not know if *taperFct (or **2 ?) is necessary |
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Ssq(i,j)=SlopeSqr(i,j)*taperFct(i,j) |
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|
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C-- Depth average of M^2/N^2 * N |
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|
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C Calculate terms for mean Richardson number |
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C which is used in the "variable K" parameterisaton. |
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C Distance between interface above layer and the integration depth |
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deltaH=abs(GM_Visbeck_depth)-abs(rF(k)) |
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C If positive we limit this to the layer thickness |
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deltaH=min(deltaH,drF(k)) |
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C If negative then we are below the integration level |
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deltaH=max(deltaH,zero_rs) |
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C Now we convert deltaH to a non-dimensional fraction |
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deltaH=deltaH/GM_Visbeck_depth |
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|
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IF (K.eq.2) VisbeckK(i,j,bi,bj)=0. |
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IF ( Ssq(i,j).NE.0. .AND. dSigmaDr(i,j).NE.0. ) THEN |
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N2= -Gravity*recip_RhoConst*dSigmaDr(i,j) |
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SN=sqrt(Ssq(i,j)*N2) |
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VisbeckK(i,j,bi,bj)=VisbeckK(i,j,bi,bj)+deltaH |
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& *GM_Visbeck_alpha*GM_Visbeck_length*GM_Visbeck_length*SN |
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ENDIF |
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|
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#endif /* GM_VISBECK_VARIABLE_K */ |
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|
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ENDDO |
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ENDDO |
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|
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C-- end 1rst loop on vertical level index k |
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ENDDO |
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|
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|
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#ifdef GM_VISBECK_VARIABLE_K |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE VisbeckK(:,:,bi,bj) = comlev1_bibj, key=igmkey, byte=isbyte |
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#endif |
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IF ( GM_Visbeck_alpha.NE.0. ) THEN |
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C- Limit range that KapGM can take |
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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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VisbeckK(i,j,bi,bj)= |
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& MIN(VisbeckK(i,j,bi,bj),GM_Visbeck_maxval_K) |
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ENDDO |
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ENDDO |
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ENDIF |
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cph( NEW |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE VisbeckK(:,:,bi,bj) = comlev1_bibj, key=igmkey, byte=isbyte |
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#endif |
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cph) |
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#endif /* GM_VISBECK_VARIABLE_K */ |
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|
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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C-- 2nd loop on k : compute Tensor Coeff. at U,V levels. |
| 310 |
DO k=1,Nr |
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kp1 = MIN(Nr,k+1) |
| 312 |
maskp1 = 1. _d 0 |
| 313 |
IF (k.GE.Nr) maskp1 = 0. _d 0 |
| 314 |
|
| 315 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 316 |
kkey = (igmkey-1)*Nr + k |
| 317 |
#if (defined (GM_NON_UNITY_DIAGONAL) || \ |
| 318 |
defined (GM_VISBECK_VARIABLE_K)) |
| 319 |
CADJ STORE Kwx(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 320 |
CADJ STORE Kwy(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 321 |
CADJ STORE Kwz(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 322 |
#endif |
| 323 |
#endif |
| 324 |
|
| 325 |
C- express the Tensor in term of Diffusivity (= m**2 / s ) |
| 326 |
DO j=1-Oly+1,sNy+Oly-1 |
| 327 |
DO i=1-Olx+1,sNx+Olx-1 |
| 328 |
#ifdef ALLOW_KAPGM_CONTROL |
| 329 |
Kgm_tmp = GM_isopycK + GM_skewflx*kapgm(i,j,k,bi,bj) |
| 330 |
#else |
| 331 |
Kgm_tmp = GM_isopycK + GM_skewflx*GM_background_K |
| 332 |
#endif |
| 333 |
#ifdef GM_VISBECK_VARIABLE_K |
| 334 |
& + VisbeckK(i,j,bi,bj)*(1. _d 0 + GM_skewflx) |
| 335 |
#endif |
| 336 |
Kwx(i,j,k,bi,bj)= Kgm_tmp*Kwx(i,j,k,bi,bj) |
| 337 |
Kwy(i,j,k,bi,bj)= Kgm_tmp*Kwy(i,j,k,bi,bj) |
| 338 |
Kwz(i,j,k,bi,bj)= ( GM_isopycK |
| 339 |
#ifdef GM_VISBECK_VARIABLE_K |
| 340 |
& + VisbeckK(i,j,bi,bj) |
| 341 |
#endif |
| 342 |
& )*Kwz(i,j,k,bi,bj) |
| 343 |
ENDDO |
| 344 |
ENDDO |
| 345 |
|
| 346 |
#if ( defined (GM_NON_UNITY_DIAGONAL) || defined (GM_EXTRA_DIAGONAL) ) |
| 347 |
|
| 348 |
C Gradient of Sigma at U points |
| 349 |
DO j=1-Oly+1,sNy+Oly-1 |
| 350 |
DO i=1-Olx+1,sNx+Olx-1 |
| 351 |
dSigmaDx(i,j)=sigmaX(i,j,k) |
| 352 |
& *_maskW(i,j,k,bi,bj) |
| 353 |
dSigmaDy(i,j)=op25*( sigmaY(i-1,j+1,k) +sigmaY(i,j+1,k) |
| 354 |
& +sigmaY(i-1, j ,k) +sigmaY(i, j ,k) ) |
| 355 |
& *_maskW(i,j,k,bi,bj) |
| 356 |
dSigmaDr(i,j)=op25*( sigmaR(i-1,j, k ) +sigmaR(i,j, k ) |
| 357 |
& +maskp1*(sigmaR(i-1,j,kp1) +sigmaR(i,j,kp1)) ) |
| 358 |
& *_maskW(i,j,k,bi,bj) |
| 359 |
ENDDO |
| 360 |
ENDDO |
| 361 |
|
| 362 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 363 |
CADJ STORE SlopeSqr(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 364 |
CADJ STORE dSigmaDx(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 365 |
CADJ STORE dSigmaDy(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 366 |
CADJ STORE dSigmaDr(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 367 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 368 |
|
| 369 |
C Calculate slopes for use in tensor, taper and/or clip |
| 370 |
CALL GMREDI_SLOPE_LIMIT( |
| 371 |
O SlopeX, SlopeY, |
| 372 |
O SlopeSqr, taperFct, |
| 373 |
U dSigmaDr, |
| 374 |
I dSigmaDx, dSigmaDy, |
| 375 |
I ldd97_LrhoW,rC(k),k, |
| 376 |
I bi, bj, myThid ) |
| 377 |
|
| 378 |
cph( NEW |
| 379 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 380 |
cph( |
| 381 |
CADJ STORE SlopeSqr(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 382 |
CADJ STORE taperFct(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 383 |
cph) |
| 384 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 385 |
cph) |
| 386 |
|
| 387 |
#ifdef GM_NON_UNITY_DIAGONAL |
| 388 |
DO j=1-Oly+1,sNy+Oly-1 |
| 389 |
DO i=1-Olx+1,sNx+Olx-1 |
| 390 |
Kux(i,j,k,bi,bj) = |
| 391 |
& ( GM_isopycK |
| 392 |
#ifdef GM_VISBECK_VARIABLE_K |
| 393 |
& +op5*(VisbeckK(i,j,bi,bj)+VisbeckK(i-1,j,bi,bj)) |
| 394 |
#endif |
| 395 |
& ) |
| 396 |
& *taperFct(i,j) |
| 397 |
ENDDO |
| 398 |
ENDDO |
| 399 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 400 |
# ifdef GM_EXCLUDE_CLIPPING |
| 401 |
CADJ STORE Kux(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 402 |
# endif |
| 403 |
#endif |
| 404 |
DO j=1-Oly+1,sNy+Oly-1 |
| 405 |
DO i=1-Olx+1,sNx+Olx-1 |
| 406 |
Kux(i,j,k,bi,bj) = MAX( Kux(i,j,k,bi,bj), GM_Kmin_horiz ) |
| 407 |
ENDDO |
| 408 |
ENDDO |
| 409 |
#endif /* GM_NON_UNITY_DIAGONAL */ |
| 410 |
|
| 411 |
#ifdef GM_EXTRA_DIAGONAL |
| 412 |
|
| 413 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 414 |
CADJ STORE SlopeX(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 415 |
CADJ STORE taperFct(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 416 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 417 |
IF (GM_ExtraDiag) THEN |
| 418 |
DO j=1-Oly+1,sNy+Oly-1 |
| 419 |
DO i=1-Olx+1,sNx+Olx-1 |
| 420 |
Kuz(i,j,k,bi,bj) = |
| 421 |
#ifdef ALLOW_KAPGM_CONTROL |
| 422 |
& ( GM_isopycK - GM_skewflx*kapgm(i,j,k,bi,bj) |
| 423 |
#else |
| 424 |
& ( GM_isopycK - GM_skewflx*GM_background_K |
| 425 |
#endif |
| 426 |
#ifdef GM_VISBECK_VARIABLE_K |
| 427 |
& +op5*(VisbeckK(i,j,bi,bj)+VisbeckK(i-1,j,bi,bj))*GM_advect |
| 428 |
#endif |
| 429 |
& )*SlopeX(i,j)*taperFct(i,j) |
| 430 |
ENDDO |
| 431 |
ENDDO |
| 432 |
ENDIF |
| 433 |
#endif /* GM_EXTRA_DIAGONAL */ |
| 434 |
|
| 435 |
#ifdef ALLOW_DIAGNOSTICS |
| 436 |
IF (doDiagRediFlx) THEN |
| 437 |
km1 = MAX(k-1,1) |
| 438 |
DO j=1,sNy |
| 439 |
DO i=1,sNx+1 |
| 440 |
C store in tmp1k Kuz_Redi |
| 441 |
tmp1k(i,j) = ( GM_isopycK |
| 442 |
#ifdef GM_VISBECK_VARIABLE_K |
| 443 |
& +(VisbeckK(i,j,bi,bj)+VisbeckK(i-1,j,bi,bj))*0.5 _d 0 |
| 444 |
#endif |
| 445 |
& )*SlopeX(i,j)*taperFct(i,j) |
| 446 |
ENDDO |
| 447 |
ENDDO |
| 448 |
DO j=1,sNy |
| 449 |
DO i=1,sNx+1 |
| 450 |
C- Vertical gradients interpolated to U points |
| 451 |
dTdz = ( |
| 452 |
& +recip_drC(k)* |
| 453 |
& ( maskC(i-1,j,k,bi,bj)* |
| 454 |
& (theta(i-1,j,km1,bi,bj)-theta(i-1,j,k,bi,bj)) |
| 455 |
& +maskC( i ,j,k,bi,bj)* |
| 456 |
& (theta( i ,j,km1,bi,bj)-theta( i ,j,k,bi,bj)) |
| 457 |
& ) |
| 458 |
& +recip_drC(kp1)* |
| 459 |
& ( maskC(i-1,j,kp1,bi,bj)* |
| 460 |
& (theta(i-1,j,k,bi,bj)-theta(i-1,j,kp1,bi,bj)) |
| 461 |
& +maskC( i ,j,kp1,bi,bj)* |
| 462 |
& (theta( i ,j,k,bi,bj)-theta( i ,j,kp1,bi,bj)) |
| 463 |
& ) ) * 0.25 _d 0 |
| 464 |
tmp1k(i,j) = dyG(i,j,bi,bj)*drF(k) |
| 465 |
& * _hFacW(i,j,k,bi,bj) |
| 466 |
& * tmp1k(i,j) * dTdz |
| 467 |
ENDDO |
| 468 |
ENDDO |
| 469 |
CALL DIAGNOSTICS_FILL(tmp1k, 'GM_KuzTz', k,1,2,bi,bj,myThid) |
| 470 |
ENDIF |
| 471 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 472 |
|
| 473 |
C Gradient of Sigma at V points |
| 474 |
DO j=1-Oly+1,sNy+Oly-1 |
| 475 |
DO i=1-Olx+1,sNx+Olx-1 |
| 476 |
dSigmaDx(i,j)=op25*( sigmaX(i, j ,k) +sigmaX(i+1, j ,k) |
| 477 |
& +sigmaX(i,j-1,k) +sigmaX(i+1,j-1,k) ) |
| 478 |
& *_maskS(i,j,k,bi,bj) |
| 479 |
dSigmaDy(i,j)=sigmaY(i,j,k) |
| 480 |
& *_maskS(i,j,k,bi,bj) |
| 481 |
dSigmaDr(i,j)=op25*( sigmaR(i,j-1, k ) +sigmaR(i,j, k ) |
| 482 |
& +maskp1*(sigmaR(i,j-1,kp1) +sigmaR(i,j,kp1)) ) |
| 483 |
& *_maskS(i,j,k,bi,bj) |
| 484 |
ENDDO |
| 485 |
ENDDO |
| 486 |
|
| 487 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 488 |
CADJ STORE dSigmaDx(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 489 |
CADJ STORE dSigmaDy(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 490 |
CADJ STORE dSigmaDr(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 491 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 492 |
|
| 493 |
C Calculate slopes for use in tensor, taper and/or clip |
| 494 |
CALL GMREDI_SLOPE_LIMIT( |
| 495 |
O SlopeX, SlopeY, |
| 496 |
O SlopeSqr, taperFct, |
| 497 |
U dSigmaDr, |
| 498 |
I dSigmaDx, dSigmaDy, |
| 499 |
I ldd97_LrhoS,rC(k),k, |
| 500 |
I bi, bj, myThid ) |
| 501 |
|
| 502 |
cph( |
| 503 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 504 |
cph( |
| 505 |
CADJ STORE taperfct(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 506 |
cph) |
| 507 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 508 |
cph) |
| 509 |
|
| 510 |
#ifdef GM_NON_UNITY_DIAGONAL |
| 511 |
DO j=1-Oly+1,sNy+Oly-1 |
| 512 |
DO i=1-Olx+1,sNx+Olx-1 |
| 513 |
Kvy(i,j,k,bi,bj) = |
| 514 |
& ( GM_isopycK |
| 515 |
#ifdef GM_VISBECK_VARIABLE_K |
| 516 |
& +op5*(VisbeckK(i,j,bi,bj)+VisbeckK(i,j-1,bi,bj)) |
| 517 |
#endif |
| 518 |
& ) |
| 519 |
& *taperFct(i,j) |
| 520 |
ENDDO |
| 521 |
ENDDO |
| 522 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 523 |
# ifdef GM_EXCLUDE_CLIPPING |
| 524 |
CADJ STORE Kvy(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 525 |
# endif |
| 526 |
#endif |
| 527 |
DO j=1-Oly+1,sNy+Oly-1 |
| 528 |
DO i=1-Olx+1,sNx+Olx-1 |
| 529 |
Kvy(i,j,k,bi,bj) = MAX( Kvy(i,j,k,bi,bj), GM_Kmin_horiz ) |
| 530 |
ENDDO |
| 531 |
ENDDO |
| 532 |
#endif /* GM_NON_UNITY_DIAGONAL */ |
| 533 |
|
| 534 |
#ifdef GM_EXTRA_DIAGONAL |
| 535 |
|
| 536 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 537 |
CADJ STORE SlopeY(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 538 |
CADJ STORE taperFct(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 539 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 540 |
IF (GM_ExtraDiag) THEN |
| 541 |
DO j=1-Oly+1,sNy+Oly-1 |
| 542 |
DO i=1-Olx+1,sNx+Olx-1 |
| 543 |
Kvz(i,j,k,bi,bj) = |
| 544 |
#ifdef ALLOW_KAPGM_CONTROL |
| 545 |
& ( GM_isopycK - GM_skewflx*kapgm(i,j,k,bi,bj) |
| 546 |
#else |
| 547 |
& ( GM_isopycK - GM_skewflx*GM_background_K |
| 548 |
#endif |
| 549 |
#ifdef GM_VISBECK_VARIABLE_K |
| 550 |
& +op5*(VisbeckK(i,j,bi,bj)+VisbeckK(i,j-1,bi,bj))*GM_advect |
| 551 |
#endif |
| 552 |
& )*SlopeY(i,j)*taperFct(i,j) |
| 553 |
ENDDO |
| 554 |
ENDDO |
| 555 |
ENDIF |
| 556 |
#endif /* GM_EXTRA_DIAGONAL */ |
| 557 |
|
| 558 |
#ifdef ALLOW_DIAGNOSTICS |
| 559 |
IF (doDiagRediFlx) THEN |
| 560 |
c km1 = MAX(k-1,1) |
| 561 |
DO j=1,sNy+1 |
| 562 |
DO i=1,sNx |
| 563 |
C store in tmp1k Kvz_Redi |
| 564 |
tmp1k(i,j) = ( GM_isopycK |
| 565 |
#ifdef GM_VISBECK_VARIABLE_K |
| 566 |
& +(VisbeckK(i,j,bi,bj)+VisbeckK(i,j-1,bi,bj))*0.5 _d 0 |
| 567 |
#endif |
| 568 |
& )*SlopeY(i,j)*taperFct(i,j) |
| 569 |
ENDDO |
| 570 |
ENDDO |
| 571 |
DO j=1,sNy+1 |
| 572 |
DO i=1,sNx |
| 573 |
C- Vertical gradients interpolated to U points |
| 574 |
dTdz = ( |
| 575 |
& +recip_drC(k)* |
| 576 |
& ( maskC(i,j-1,k,bi,bj)* |
| 577 |
& (theta(i,j-1,km1,bi,bj)-theta(i,j-1,k,bi,bj)) |
| 578 |
& +maskC(i, j ,k,bi,bj)* |
| 579 |
& (theta(i, j ,km1,bi,bj)-theta(i, j ,k,bi,bj)) |
| 580 |
& ) |
| 581 |
& +recip_drC(kp1)* |
| 582 |
& ( maskC(i,j-1,kp1,bi,bj)* |
| 583 |
& (theta(i,j-1,k,bi,bj)-theta(i,j-1,kp1,bi,bj)) |
| 584 |
& +maskC(i, j ,kp1,bi,bj)* |
| 585 |
& (theta(i, j ,k,bi,bj)-theta(i, j ,kp1,bi,bj)) |
| 586 |
& ) ) * 0.25 _d 0 |
| 587 |
tmp1k(i,j) = dxG(i,j,bi,bj)*drF(k) |
| 588 |
& * _hFacS(i,j,k,bi,bj) |
| 589 |
& * tmp1k(i,j) * dTdz |
| 590 |
ENDDO |
| 591 |
ENDDO |
| 592 |
CALL DIAGNOSTICS_FILL(tmp1k, 'GM_KvzTz', k,1,2,bi,bj,myThid) |
| 593 |
ENDIF |
| 594 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 595 |
|
| 596 |
#endif /* GM_NON_UNITY_DIAGONAL || GM_EXTRA_DIAGONAL */ |
| 597 |
|
| 598 |
C-- end 2nd loop on vertical level index k |
| 599 |
ENDDO |
| 600 |
|
| 601 |
|
| 602 |
#ifdef GM_BOLUS_ADVEC |
| 603 |
IF (GM_AdvForm) THEN |
| 604 |
CALL GMREDI_CALC_PSI_B( |
| 605 |
I bi, bj, iMin, iMax, jMin, jMax, |
| 606 |
I sigmaX, sigmaY, sigmaR, |
| 607 |
I ldd97_LrhoW, ldd97_LrhoS, |
| 608 |
I myThid ) |
| 609 |
ENDIF |
| 610 |
#endif |
| 611 |
|
| 612 |
#ifdef ALLOW_TIMEAVE |
| 613 |
C-- Time-average |
| 614 |
IF ( taveFreq.GT.0. ) THEN |
| 615 |
|
| 616 |
CALL TIMEAVE_CUMULATE( GM_Kwx_T, Kwx, Nr, |
| 617 |
& deltaTclock, bi, bj, myThid ) |
| 618 |
CALL TIMEAVE_CUMULATE( GM_Kwy_T, Kwy, Nr, |
| 619 |
& deltaTclock, bi, bj, myThid ) |
| 620 |
CALL TIMEAVE_CUMULATE( GM_Kwz_T, Kwz, Nr, |
| 621 |
& deltaTclock, bi, bj, myThid ) |
| 622 |
#ifdef GM_VISBECK_VARIABLE_K |
| 623 |
IF ( GM_Visbeck_alpha.NE.0. ) THEN |
| 624 |
CALL TIMEAVE_CUMULATE( Visbeck_K_T, VisbeckK, 1, |
| 625 |
& deltaTclock, bi, bj, myThid ) |
| 626 |
ENDIF |
| 627 |
#endif |
| 628 |
#ifdef GM_BOLUS_ADVEC |
| 629 |
IF ( GM_AdvForm ) THEN |
| 630 |
CALL TIMEAVE_CUMULATE( GM_PsiXtave, GM_PsiX, Nr, |
| 631 |
& deltaTclock, bi, bj, myThid ) |
| 632 |
CALL TIMEAVE_CUMULATE( GM_PsiYtave, GM_PsiY, Nr, |
| 633 |
& deltaTclock, bi, bj, myThid ) |
| 634 |
ENDIF |
| 635 |
#endif |
| 636 |
DO k=1,Nr |
| 637 |
GM_TimeAve(k,bi,bj)=GM_TimeAve(k,bi,bj)+deltaTclock |
| 638 |
ENDDO |
| 639 |
|
| 640 |
ENDIF |
| 641 |
#endif /* ALLOW_TIMEAVE */ |
| 642 |
|
| 643 |
#ifdef ALLOW_DIAGNOSTICS |
| 644 |
IF ( useDiagnostics ) THEN |
| 645 |
CALL GMREDI_DIAGNOSTICS_FILL(bi,bj,myThid) |
| 646 |
ENDIF |
| 647 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 648 |
|
| 649 |
#endif /* ALLOW_GMREDI */ |
| 650 |
|
| 651 |
RETURN |
| 652 |
END |
| 653 |
|
| 654 |
|
| 655 |
SUBROUTINE GMREDI_CALC_TENSOR_DUMMY( |
| 656 |
I bi, bj, iMin, iMax, jMin, jMax, |
| 657 |
I sigmaX, sigmaY, sigmaR, |
| 658 |
I myThid ) |
| 659 |
C /==========================================================\ |
| 660 |
C | SUBROUTINE GMREDI_CALC_TENSOR | |
| 661 |
C | o Calculate tensor elements for GM/Redi tensor. | |
| 662 |
C |==========================================================| |
| 663 |
C \==========================================================/ |
| 664 |
IMPLICIT NONE |
| 665 |
|
| 666 |
C == Global variables == |
| 667 |
#include "SIZE.h" |
| 668 |
#include "EEPARAMS.h" |
| 669 |
#include "GMREDI.h" |
| 670 |
|
| 671 |
C == Routine arguments == |
| 672 |
C |
| 673 |
_RL sigmaX(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 674 |
_RL sigmaY(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 675 |
_RL sigmaR(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
| 676 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
| 677 |
INTEGER myThid |
| 678 |
CEndOfInterface |
| 679 |
|
| 680 |
INTEGER i, j, k |
| 681 |
|
| 682 |
#ifdef ALLOW_GMREDI |
| 683 |
|
| 684 |
DO k=1,Nr |
| 685 |
DO j=1-Oly+1,sNy+Oly-1 |
| 686 |
DO i=1-Olx+1,sNx+Olx-1 |
| 687 |
Kwx(i,j,k,bi,bj) = 0.0 |
| 688 |
Kwy(i,j,k,bi,bj) = 0.0 |
| 689 |
Kwz(i,j,k,bi,bj) = 0.0 |
| 690 |
ENDDO |
| 691 |
ENDDO |
| 692 |
ENDDO |
| 693 |
#endif /* ALLOW_GMREDI */ |
| 694 |
|
| 695 |
RETURN |
| 696 |
END |
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