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C $Header: /u/gcmpack/MITgcm/pkg/gmredi/gmredi_calc_tensor.F,v 1.23 2006/06/07 01:55:14 heimbach 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-|--+----| |
308 |
|
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C-- 2nd loop on k : compute Tensor Coeff. at U,V levels. |
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DO k=1,Nr |
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kp1 = MIN(Nr,k+1) |
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maskp1 = 1. _d 0 |
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IF (k.GE.Nr) maskp1 = 0. _d 0 |
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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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#if (defined (GM_NON_UNITY_DIAGONAL) || \ |
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defined (GM_VISBECK_VARIABLE_K)) |
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CADJ STORE Kwx(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
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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 |
|
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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 |
Kgm_tmp = GM_isopycK + GM_skewflx*GM_background_K |
329 |
#ifdef GM_VISBECK_VARIABLE_K |
330 |
& + VisbeckK(i,j,bi,bj)*(1. _d 0 + GM_skewflx) |
331 |
#endif |
332 |
Kwx(i,j,k,bi,bj)= Kgm_tmp*Kwx(i,j,k,bi,bj) |
333 |
Kwy(i,j,k,bi,bj)= Kgm_tmp*Kwy(i,j,k,bi,bj) |
334 |
Kwz(i,j,k,bi,bj)= ( GM_isopycK |
335 |
#ifdef GM_VISBECK_VARIABLE_K |
336 |
& + VisbeckK(i,j,bi,bj) |
337 |
#endif |
338 |
& )*Kwz(i,j,k,bi,bj) |
339 |
ENDDO |
340 |
ENDDO |
341 |
|
342 |
#if ( defined (GM_NON_UNITY_DIAGONAL) || defined (GM_EXTRA_DIAGONAL) ) |
343 |
|
344 |
C Gradient of Sigma at U points |
345 |
DO j=1-Oly+1,sNy+Oly-1 |
346 |
DO i=1-Olx+1,sNx+Olx-1 |
347 |
dSigmaDx(i,j)=sigmaX(i,j,k) |
348 |
& *_maskW(i,j,k,bi,bj) |
349 |
dSigmaDy(i,j)=op25*( sigmaY(i-1,j+1,k) +sigmaY(i,j+1,k) |
350 |
& +sigmaY(i-1, j ,k) +sigmaY(i, j ,k) ) |
351 |
& *_maskW(i,j,k,bi,bj) |
352 |
dSigmaDr(i,j)=op25*( sigmaR(i-1,j, k ) +sigmaR(i,j, k ) |
353 |
& +maskp1*(sigmaR(i-1,j,kp1) +sigmaR(i,j,kp1)) ) |
354 |
& *_maskW(i,j,k,bi,bj) |
355 |
ENDDO |
356 |
ENDDO |
357 |
|
358 |
#ifdef ALLOW_AUTODIFF_TAMC |
359 |
CADJ STORE SlopeSqr(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
360 |
CADJ STORE dSigmaDx(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
361 |
CADJ STORE dSigmaDy(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
362 |
CADJ STORE dSigmaDr(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
363 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
364 |
|
365 |
C Calculate slopes for use in tensor, taper and/or clip |
366 |
CALL GMREDI_SLOPE_LIMIT( |
367 |
O SlopeX, SlopeY, |
368 |
O SlopeSqr, taperFct, |
369 |
U dSigmaDr, |
370 |
I dSigmaDx, dSigmaDy, |
371 |
I ldd97_LrhoW,rC(k),k, |
372 |
I bi, bj, myThid ) |
373 |
|
374 |
cph( NEW |
375 |
#ifdef ALLOW_AUTODIFF_TAMC |
376 |
cph( |
377 |
CADJ STORE SlopeSqr(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
378 |
CADJ STORE taperFct(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
379 |
cph) |
380 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
381 |
cph) |
382 |
|
383 |
#ifdef GM_NON_UNITY_DIAGONAL |
384 |
DO j=1-Oly+1,sNy+Oly-1 |
385 |
DO i=1-Olx+1,sNx+Olx-1 |
386 |
Kux(i,j,k,bi,bj) = |
387 |
& ( GM_isopycK |
388 |
#ifdef GM_VISBECK_VARIABLE_K |
389 |
& +op5*(VisbeckK(i,j,bi,bj)+VisbeckK(i-1,j,bi,bj)) |
390 |
#endif |
391 |
& ) |
392 |
& *taperFct(i,j) |
393 |
ENDDO |
394 |
ENDDO |
395 |
#ifdef ALLOW_AUTODIFF_TAMC |
396 |
# ifdef GM_EXCLUDE_CLIPPING |
397 |
CADJ STORE Kux(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
398 |
# endif |
399 |
#endif |
400 |
DO j=1-Oly+1,sNy+Oly-1 |
401 |
DO i=1-Olx+1,sNx+Olx-1 |
402 |
Kux(i,j,k,bi,bj) = MAX( Kux(i,j,k,bi,bj), GM_Kmin_horiz ) |
403 |
ENDDO |
404 |
ENDDO |
405 |
#endif /* GM_NON_UNITY_DIAGONAL */ |
406 |
|
407 |
#ifdef GM_EXTRA_DIAGONAL |
408 |
|
409 |
#ifdef ALLOW_AUTODIFF_TAMC |
410 |
CADJ STORE SlopeX(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
411 |
CADJ STORE taperFct(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
412 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
413 |
IF (GM_ExtraDiag) THEN |
414 |
DO j=1-Oly+1,sNy+Oly-1 |
415 |
DO i=1-Olx+1,sNx+Olx-1 |
416 |
Kuz(i,j,k,bi,bj) = |
417 |
& ( GM_isopycK - GM_skewflx*GM_background_K |
418 |
#ifdef GM_VISBECK_VARIABLE_K |
419 |
& +op5*(VisbeckK(i,j,bi,bj)+VisbeckK(i-1,j,bi,bj))*GM_advect |
420 |
#endif |
421 |
& )*SlopeX(i,j)*taperFct(i,j) |
422 |
ENDDO |
423 |
ENDDO |
424 |
ENDIF |
425 |
#endif /* GM_EXTRA_DIAGONAL */ |
426 |
|
427 |
#ifdef ALLOW_DIAGNOSTICS |
428 |
IF (doDiagRediFlx) THEN |
429 |
km1 = MAX(k-1,1) |
430 |
DO j=1,sNy |
431 |
DO i=1,sNx+1 |
432 |
C store in tmp1k Kuz_Redi |
433 |
tmp1k(i,j) = ( GM_isopycK |
434 |
#ifdef GM_VISBECK_VARIABLE_K |
435 |
& +(VisbeckK(i,j,bi,bj)+VisbeckK(i-1,j,bi,bj))*0.5 _d 0 |
436 |
#endif |
437 |
& )*SlopeX(i,j)*taperFct(i,j) |
438 |
ENDDO |
439 |
ENDDO |
440 |
DO j=1,sNy |
441 |
DO i=1,sNx+1 |
442 |
C- Vertical gradients interpolated to U points |
443 |
dTdz = ( |
444 |
& +recip_drC(k)* |
445 |
& ( maskC(i-1,j,k,bi,bj)* |
446 |
& (theta(i-1,j,km1,bi,bj)-theta(i-1,j,k,bi,bj)) |
447 |
& +maskC( i ,j,k,bi,bj)* |
448 |
& (theta( i ,j,km1,bi,bj)-theta( i ,j,k,bi,bj)) |
449 |
& ) |
450 |
& +recip_drC(kp1)* |
451 |
& ( maskC(i-1,j,kp1,bi,bj)* |
452 |
& (theta(i-1,j,k,bi,bj)-theta(i-1,j,kp1,bi,bj)) |
453 |
& +maskC( i ,j,kp1,bi,bj)* |
454 |
& (theta( i ,j,k,bi,bj)-theta( i ,j,kp1,bi,bj)) |
455 |
& ) ) * 0.25 _d 0 |
456 |
tmp1k(i,j) = dyG(i,j,bi,bj)*drF(k) |
457 |
& * _hFacW(i,j,k,bi,bj) |
458 |
& * tmp1k(i,j) * dTdz |
459 |
ENDDO |
460 |
ENDDO |
461 |
CALL DIAGNOSTICS_FILL(tmp1k, 'GM_KuzTz', k,1,2,bi,bj,myThid) |
462 |
ENDIF |
463 |
#endif /* ALLOW_DIAGNOSTICS */ |
464 |
|
465 |
C Gradient of Sigma at V points |
466 |
DO j=1-Oly+1,sNy+Oly-1 |
467 |
DO i=1-Olx+1,sNx+Olx-1 |
468 |
dSigmaDx(i,j)=op25*( sigmaX(i, j ,k) +sigmaX(i+1, j ,k) |
469 |
& +sigmaX(i,j-1,k) +sigmaX(i+1,j-1,k) ) |
470 |
& *_maskS(i,j,k,bi,bj) |
471 |
dSigmaDy(i,j)=sigmaY(i,j,k) |
472 |
& *_maskS(i,j,k,bi,bj) |
473 |
dSigmaDr(i,j)=op25*( sigmaR(i,j-1, k ) +sigmaR(i,j, k ) |
474 |
& +maskp1*(sigmaR(i,j-1,kp1) +sigmaR(i,j,kp1)) ) |
475 |
& *_maskS(i,j,k,bi,bj) |
476 |
ENDDO |
477 |
ENDDO |
478 |
|
479 |
#ifdef ALLOW_AUTODIFF_TAMC |
480 |
CADJ STORE dSigmaDx(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
481 |
CADJ STORE dSigmaDy(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
482 |
CADJ STORE dSigmaDr(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
483 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
484 |
|
485 |
C Calculate slopes for use in tensor, taper and/or clip |
486 |
CALL GMREDI_SLOPE_LIMIT( |
487 |
O SlopeX, SlopeY, |
488 |
O SlopeSqr, taperFct, |
489 |
U dSigmaDr, |
490 |
I dSigmaDx, dSigmaDy, |
491 |
I ldd97_LrhoS,rC(k),k, |
492 |
I bi, bj, myThid ) |
493 |
|
494 |
cph( |
495 |
#ifdef ALLOW_AUTODIFF_TAMC |
496 |
cph( |
497 |
CADJ STORE taperfct(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
498 |
cph) |
499 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
500 |
cph) |
501 |
|
502 |
#ifdef GM_NON_UNITY_DIAGONAL |
503 |
DO j=1-Oly+1,sNy+Oly-1 |
504 |
DO i=1-Olx+1,sNx+Olx-1 |
505 |
Kvy(i,j,k,bi,bj) = |
506 |
& ( GM_isopycK |
507 |
#ifdef GM_VISBECK_VARIABLE_K |
508 |
& +op5*(VisbeckK(i,j,bi,bj)+VisbeckK(i,j-1,bi,bj)) |
509 |
#endif |
510 |
& ) |
511 |
& *taperFct(i,j) |
512 |
ENDDO |
513 |
ENDDO |
514 |
#ifdef ALLOW_AUTODIFF_TAMC |
515 |
# ifdef GM_EXCLUDE_CLIPPING |
516 |
CADJ STORE Kvy(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
517 |
# endif |
518 |
#endif |
519 |
DO j=1-Oly+1,sNy+Oly-1 |
520 |
DO i=1-Olx+1,sNx+Olx-1 |
521 |
Kvy(i,j,k,bi,bj) = MAX( Kvy(i,j,k,bi,bj), GM_Kmin_horiz ) |
522 |
ENDDO |
523 |
ENDDO |
524 |
#endif /* GM_NON_UNITY_DIAGONAL */ |
525 |
|
526 |
#ifdef GM_EXTRA_DIAGONAL |
527 |
|
528 |
#ifdef ALLOW_AUTODIFF_TAMC |
529 |
CADJ STORE SlopeY(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
530 |
CADJ STORE taperFct(:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
531 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
532 |
IF (GM_ExtraDiag) THEN |
533 |
DO j=1-Oly+1,sNy+Oly-1 |
534 |
DO i=1-Olx+1,sNx+Olx-1 |
535 |
Kvz(i,j,k,bi,bj) = |
536 |
& ( GM_isopycK - GM_skewflx*GM_background_K |
537 |
#ifdef GM_VISBECK_VARIABLE_K |
538 |
& +op5*(VisbeckK(i,j,bi,bj)+VisbeckK(i,j-1,bi,bj))*GM_advect |
539 |
#endif |
540 |
& )*SlopeY(i,j)*taperFct(i,j) |
541 |
ENDDO |
542 |
ENDDO |
543 |
ENDIF |
544 |
#endif /* GM_EXTRA_DIAGONAL */ |
545 |
|
546 |
#ifdef ALLOW_DIAGNOSTICS |
547 |
IF (doDiagRediFlx) THEN |
548 |
c km1 = MAX(k-1,1) |
549 |
DO j=1,sNy+1 |
550 |
DO i=1,sNx |
551 |
C store in tmp1k Kvz_Redi |
552 |
tmp1k(i,j) = ( GM_isopycK |
553 |
#ifdef GM_VISBECK_VARIABLE_K |
554 |
& +(VisbeckK(i,j,bi,bj)+VisbeckK(i,j-1,bi,bj))*0.5 _d 0 |
555 |
#endif |
556 |
& )*SlopeY(i,j)*taperFct(i,j) |
557 |
ENDDO |
558 |
ENDDO |
559 |
DO j=1,sNy+1 |
560 |
DO i=1,sNx |
561 |
C- Vertical gradients interpolated to U points |
562 |
dTdz = ( |
563 |
& +recip_drC(k)* |
564 |
& ( maskC(i,j-1,k,bi,bj)* |
565 |
& (theta(i,j-1,km1,bi,bj)-theta(i,j-1,k,bi,bj)) |
566 |
& +maskC(i, j ,k,bi,bj)* |
567 |
& (theta(i, j ,km1,bi,bj)-theta(i, j ,k,bi,bj)) |
568 |
& ) |
569 |
& +recip_drC(kp1)* |
570 |
& ( maskC(i,j-1,kp1,bi,bj)* |
571 |
& (theta(i,j-1,k,bi,bj)-theta(i,j-1,kp1,bi,bj)) |
572 |
& +maskC(i, j ,kp1,bi,bj)* |
573 |
& (theta(i, j ,k,bi,bj)-theta(i, j ,kp1,bi,bj)) |
574 |
& ) ) * 0.25 _d 0 |
575 |
tmp1k(i,j) = dxG(i,j,bi,bj)*drF(k) |
576 |
& * _hFacS(i,j,k,bi,bj) |
577 |
& * tmp1k(i,j) * dTdz |
578 |
ENDDO |
579 |
ENDDO |
580 |
CALL DIAGNOSTICS_FILL(tmp1k, 'GM_KvzTz', k,1,2,bi,bj,myThid) |
581 |
ENDIF |
582 |
#endif /* ALLOW_DIAGNOSTICS */ |
583 |
|
584 |
#endif /* GM_NON_UNITY_DIAGONAL || GM_EXTRA_DIAGONAL */ |
585 |
|
586 |
C-- end 2nd loop on vertical level index k |
587 |
ENDDO |
588 |
|
589 |
|
590 |
#ifdef GM_BOLUS_ADVEC |
591 |
IF (GM_AdvForm) THEN |
592 |
CALL GMREDI_CALC_PSI_B( |
593 |
I bi, bj, iMin, iMax, jMin, jMax, |
594 |
I sigmaX, sigmaY, sigmaR, |
595 |
I ldd97_LrhoW, ldd97_LrhoS, |
596 |
I myThid ) |
597 |
ENDIF |
598 |
#endif |
599 |
|
600 |
#ifdef ALLOW_TIMEAVE |
601 |
C-- Time-average |
602 |
IF ( taveFreq.GT.0. ) THEN |
603 |
|
604 |
CALL TIMEAVE_CUMULATE( GM_Kwx_T, Kwx, Nr, |
605 |
& deltaTclock, bi, bj, myThid ) |
606 |
CALL TIMEAVE_CUMULATE( GM_Kwy_T, Kwy, Nr, |
607 |
& deltaTclock, bi, bj, myThid ) |
608 |
CALL TIMEAVE_CUMULATE( GM_Kwz_T, Kwz, Nr, |
609 |
& deltaTclock, bi, bj, myThid ) |
610 |
#ifdef GM_VISBECK_VARIABLE_K |
611 |
IF ( GM_Visbeck_alpha.NE.0. ) THEN |
612 |
CALL TIMEAVE_CUMULATE( Visbeck_K_T, VisbeckK, 1, |
613 |
& deltaTclock, bi, bj, myThid ) |
614 |
ENDIF |
615 |
#endif |
616 |
#ifdef GM_BOLUS_ADVEC |
617 |
IF ( GM_AdvForm ) THEN |
618 |
CALL TIMEAVE_CUMULATE( GM_PsiXtave, GM_PsiX, Nr, |
619 |
& deltaTclock, bi, bj, myThid ) |
620 |
CALL TIMEAVE_CUMULATE( GM_PsiYtave, GM_PsiY, Nr, |
621 |
& deltaTclock, bi, bj, myThid ) |
622 |
ENDIF |
623 |
#endif |
624 |
DO k=1,Nr |
625 |
GM_TimeAve(k,bi,bj)=GM_TimeAve(k,bi,bj)+deltaTclock |
626 |
ENDDO |
627 |
|
628 |
ENDIF |
629 |
#endif /* ALLOW_TIMEAVE */ |
630 |
|
631 |
#ifdef ALLOW_DIAGNOSTICS |
632 |
IF ( useDiagnostics ) THEN |
633 |
CALL GMREDI_DIAGNOSTICS_FILL(bi,bj,myThid) |
634 |
ENDIF |
635 |
#endif /* ALLOW_DIAGNOSTICS */ |
636 |
|
637 |
#endif /* ALLOW_GMREDI */ |
638 |
|
639 |
RETURN |
640 |
END |
641 |
|
642 |
|
643 |
SUBROUTINE GMREDI_CALC_TENSOR_DUMMY( |
644 |
I bi, bj, iMin, iMax, jMin, jMax, |
645 |
I sigmaX, sigmaY, sigmaR, |
646 |
I myThid ) |
647 |
C /==========================================================\ |
648 |
C | SUBROUTINE GMREDI_CALC_TENSOR | |
649 |
C | o Calculate tensor elements for GM/Redi tensor. | |
650 |
C |==========================================================| |
651 |
C \==========================================================/ |
652 |
IMPLICIT NONE |
653 |
|
654 |
C == Global variables == |
655 |
#include "SIZE.h" |
656 |
#include "EEPARAMS.h" |
657 |
#include "GMREDI.h" |
658 |
|
659 |
C == Routine arguments == |
660 |
C |
661 |
_RL sigmaX(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
662 |
_RL sigmaY(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
663 |
_RL sigmaR(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
664 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
665 |
INTEGER myThid |
666 |
CEndOfInterface |
667 |
|
668 |
INTEGER i, j, k |
669 |
|
670 |
#ifdef ALLOW_GMREDI |
671 |
|
672 |
DO k=1,Nr |
673 |
DO j=1-Oly+1,sNy+Oly-1 |
674 |
DO i=1-Olx+1,sNx+Olx-1 |
675 |
Kwx(i,j,k,bi,bj) = 0.0 |
676 |
Kwy(i,j,k,bi,bj) = 0.0 |
677 |
Kwz(i,j,k,bi,bj) = 0.0 |
678 |
ENDDO |
679 |
ENDDO |
680 |
ENDDO |
681 |
#endif /* ALLOW_GMREDI */ |
682 |
|
683 |
RETURN |
684 |
END |