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C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_u3c4_impl_r.F,v 1.11 2014/04/04 20:29:08 jmc Exp $ |
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C $Name: $ |
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|
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#include "GAD_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: GAD_U3C4_IMPL_R |
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C !INTERFACE: |
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SUBROUTINE GAD_U3C4_IMPL_R( |
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I bi,bj,k, iMin,iMax,jMin,jMax, |
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I advectionScheme, deltaTarg, rTrans, recip_hFac, |
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O a5d, b5d, c5d, d5d, e5d, |
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I myThid ) |
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|
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C !DESCRIPTION: |
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C Compute matrix element to solve vertical advection implicitly |
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C using 3rd order upwind advection scheme, |
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C or 3rd order Direct Space and Time advection scheme, |
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C or 4th order Centered advection scheme. |
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C Method: |
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C contribution of vertical transport at interface k is added |
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C to matrix lines k and k-1 |
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|
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C !USES: |
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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 "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GAD.h" |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine Arguments == |
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C bi,bj :: tile indices |
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C k :: vertical level |
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C iMin,iMax :: computation domain |
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C jMin,jMax :: computation domain |
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C advectionScheme :: advection scheme to use |
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C deltaTarg :: time step |
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C rTrans :: vertical volume transport |
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C recip_hFac :: inverse of cell open-depth factor |
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C a5d :: 2nd lower diag of pentadiagonal matrix |
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C b5d :: 1rst lower diag of pentadiagonal matrix |
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C c5d :: main diag of pentadiagonal matrix |
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C d5d :: 1rst upper diag of pentadiagonal matrix |
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C e5d :: 2nd upper diag of pentadiagonal matrix |
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C myThid :: thread number |
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INTEGER bi,bj,k |
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INTEGER iMin,iMax,jMin,jMax |
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INTEGER advectionScheme |
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_RL deltaTarg(Nr) |
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_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS recip_hFac(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL a5d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL b5d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL c5d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL d5d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL e5d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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INTEGER myThid |
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|
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C == Local Variables == |
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C i,j :: loop indices |
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C kp1 :: =min( k+1 , Nr ) |
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C km2 :: =max( k-2 , 1 ) |
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C rCenter :: centered contribution |
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C rUpwind :: upwind contribution |
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C rC4km, rC4kp :: high order contribution |
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C rHigh :: high order term factor |
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LOGICAL flagC4 |
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INTEGER i,j,kp1,km2 |
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#if (defined ALLOW_AUTODIFF && defined TARGET_NEC_SX) |
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_RL rC4km2D (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rC4kp2D (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rCenter2D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rUpwind2D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#endif |
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_RL wCFL, rCenter, rUpwind |
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_RL rC4km, rC4kp, rHigh |
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_RL mskM, mskP, maskM2, maskP1 |
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_RL deltaTcfl |
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CEOP |
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|
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C-- process interior interface only: |
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IF ( k.GT.1 .AND. k.LE.Nr ) THEN |
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|
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km2=MAX(1,k-2) |
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kp1=MIN(Nr,k+1) |
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maskP1 = 1. _d 0 |
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maskM2 = 1. _d 0 |
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IF ( k.LE.2 ) maskM2 = 0. _d 0 |
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IF ( k.GE.Nr) maskP1 = 0. _d 0 |
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flagC4 = advectionScheme.EQ.ENUM_CENTERED_4TH |
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& .AND. k.GT.2 .AND. k.LT.Nr |
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|
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C-- Add centered, upwind and high-order contributions |
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deltaTcfl = deltaTarg(k) |
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#if (defined ALLOW_AUTODIFF && defined TARGET_NEC_SX) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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rCenter2D(i,j) = |
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& 0.5 _d 0 *rTrans(i,j)*recip_rA(i,j,bi,bj)*rkSign |
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mskM = maskC(i,j,km2,bi,bj)*maskM2 |
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mskP = maskC(i,j,kp1,bi,bj)*maskP1 |
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IF ( flagC4 .AND. mskM*mskP.GT.0. _d 0 ) THEN |
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rUpwind2D(i,j) = 0. _d 0 |
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rC4km2D (i,j) = oneSixth*rCenter*mskM |
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rC4kp2D (i,j) = oneSixth*rCenter*mskP |
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ELSEIF ( advectionScheme.EQ.ENUM_DST3 ) THEN |
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wCFL = deltaTcfl*ABS(rTrans(i,j)) |
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& *recip_rA(i,j,bi,bj)*recip_drC(k) |
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& *recip_deepFac2F(k)*recip_rhoFacF(k) |
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rHigh = (1. _d 0 -wCFL*wCFL)*oneSixth |
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c rUpwind2D(i,j) = (2. _d 0*rHigh - wCFL)*ABS(rCenter) |
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rUpwind2D(i,j) = (2. _d 0*rHigh )*ABS(rCenter) |
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rC4km2D (i,j) = rHigh * (rCenter+ABS(rCenter))*mskM |
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rC4kp2D (i,j) = rHigh * (rCenter-ABS(rCenter))*mskP |
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ELSE |
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rUpwind2D(i,j) = 2. _d 0*oneSixth*ABS(rCenter) |
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rC4km2D (i,j) = oneSixth*(rCenter+ABS(rCenter))*mskM |
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rC4kp2D (i,j) = oneSixth*(rCenter-ABS(rCenter))*mskP |
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ENDIF |
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ENDDO |
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ENDDO |
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#endif /* ALLOW_AUTODIFF and TARGET_NEC_SX */ |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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#if (defined ALLOW_AUTODIFF && defined TARGET_NEC_SX) |
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rC4km = rC4km2D (i,j) |
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rC4kp = rC4kp2D (i,j) |
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rCenter = rCenter2D(i,j) |
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rUpwind = rUpwind2D(i,j) |
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#else |
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rCenter= 0.5 _d 0 *rTrans(i,j)*recip_rA(i,j,bi,bj)*rkSign |
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mskM = maskC(i,j,km2,bi,bj)*maskM2 |
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mskP = maskC(i,j,kp1,bi,bj)*maskP1 |
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IF ( flagC4 .AND. mskM*mskP.GT.0. _d 0 ) THEN |
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rUpwind= 0. _d 0 |
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rC4km = oneSixth*rCenter*mskM |
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rC4kp = oneSixth*rCenter*mskP |
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ELSEIF ( advectionScheme.EQ.ENUM_DST3 ) THEN |
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wCFL = deltaTcfl*ABS(rTrans(i,j)) |
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& *recip_rA(i,j,bi,bj)*recip_drC(k) |
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& *recip_deepFac2F(k)*recip_rhoFacF(k) |
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rHigh = (1. _d 0 -wCFL*wCFL)*oneSixth |
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c rUpwind= (2. _d 0*rHigh - wCFL)*ABS(rCenter) |
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rUpwind= (2. _d 0*rHigh )*ABS(rCenter) |
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rC4km = rHigh * (rCenter+ABS(rCenter))*mskM |
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rC4kp = rHigh * (rCenter-ABS(rCenter))*mskP |
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ELSE |
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rUpwind= 2. _d 0*oneSixth*ABS(rCenter) |
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rC4km = oneSixth*(rCenter+ABS(rCenter))*mskM |
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rC4kp = oneSixth*(rCenter-ABS(rCenter))*mskP |
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ENDIF |
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#endif /* ALLOW_AUTODIFF and TARGET_NEC_SX */ |
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a5d(i,j,k) = a5d(i,j,k) |
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& + rC4km |
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& *deltaTarg(k) |
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& *recip_hFac(i,j,k)*recip_drF(k) |
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& *recip_deepFac2C(k)*recip_rhoFacC(k) |
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b5d(i,j,k) = b5d(i,j,k) |
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& - ( (rCenter+rUpwind) + rC4km ) |
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& *deltaTarg(k) |
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& *recip_hFac(i,j,k)*recip_drF(k) |
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& *recip_deepFac2C(k)*recip_rhoFacC(k) |
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c5d(i,j,k) = c5d(i,j,k) |
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& - ( (rCenter-rUpwind) + rC4kp ) |
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& *deltaTarg(k) |
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& *recip_hFac(i,j,k)*recip_drF(k) |
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& *recip_deepFac2C(k)*recip_rhoFacC(k) |
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d5d(i,j,k) = d5d(i,j,k) |
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& + rC4kp |
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& *deltaTarg(k) |
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& *recip_hFac(i,j,k)*recip_drF(k) |
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& *recip_deepFac2C(k)*recip_rhoFacC(k) |
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b5d(i,j,k-1) = b5d(i,j,k-1) |
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& - rC4km |
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& *deltaTarg(k-1) |
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& *recip_hFac(i,j,k-1)*recip_drF(k-1) |
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& *recip_deepFac2C(k-1)*recip_rhoFacC(k-1) |
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c5d(i,j,k-1) = c5d(i,j,k-1) |
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& + ( (rCenter+rUpwind) + rC4km ) |
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& *deltaTarg(k-1) |
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& *recip_hFac(i,j,k-1)*recip_drF(k-1) |
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& *recip_deepFac2C(k-1)*recip_rhoFacC(k-1) |
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d5d(i,j,k-1) = d5d(i,j,k-1) |
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& + ( (rCenter-rUpwind) + rC4kp ) |
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& *deltaTarg(k-1) |
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& *recip_hFac(i,j,k-1)*recip_drF(k-1) |
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& *recip_deepFac2C(k-1)*recip_rhoFacC(k-1) |
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e5d(i,j,k-1) = e5d(i,j,k-1) |
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& - rC4kp |
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& *deltaTarg(k-1) |
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& *recip_hFac(i,j,k-1)*recip_drF(k-1) |
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& *recip_deepFac2C(k-1)*recip_rhoFacC(k-1) |
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ENDDO |
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ENDDO |
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|
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C-- process interior interface only: end |
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ENDIF |
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|
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RETURN |
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END |
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