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jmc |
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C $Header: /u/gcmpack/MITgcm/pkg/mom_common/mom_calc_smag_3d.F,v 1.1 2013/11/05 13:31:50 jmc Exp $ |
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jmc |
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C $Name: $ |
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#include "MOM_COMMON_OPTIONS.h" |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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CBOP |
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C !ROUTINE: MOM_CALC_SMAG_3D |
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C !INTERFACE: |
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SUBROUTINE MOM_CALC_SMAG_3D( |
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I str11, str22, str33, str12, str13, str23, |
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O viscAh3d_00, viscAh3d_12, |
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O viscAh3d_13, viscAh3d_23, |
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I smag3D_hLsC, smag3D_hLsW, smag3D_hLsS, smag3D_hLsZ, |
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I k, bi, bj, myThid ) |
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C !DESCRIPTION: |
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C Calculate Smagorinsky 3-D (harmonic) viscosities |
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C at current level k (for viscAh3d_00 & viscAh3d_12) |
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C and at level k+1 (for viscAh3d_13 & viscAh3d_23) |
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C !USES: |
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IMPLICIT NONE |
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C == Global variables == |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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c#include "MOM_VISC.h" |
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C !INPUT PARAMETERS: |
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C str11 :: strain component Vxx @ grid-cell center |
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C str22 :: strain component Vyy @ grid-cell center |
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C str33 :: strain component Vzz @ grid-cell center |
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C str12 :: strain component Vxy @ grid-cell corner |
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C str13 :: strain component Vxz @ above uVel |
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C str23 :: strain component Vyz @ above vVel |
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C smag3D_hLsC :: horiz. grid length scale (power 2/3) at grid cell center |
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C smag3D_hLsW :: horiz. grid length scale (power 2/3) at western edge |
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C smag3D_hLsS :: horiz. grid length scale (power 2/3) at southern egde |
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C smag3D_hLsZ :: horiz. grid length scale (power 2/3) at grid cell corner |
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C k :: current level index |
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C bi, bj :: tile indices |
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C myThid :: my Thread Id number |
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_RL str11(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL str22(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL str33(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL str12(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL str13(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr+1) |
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_RL str23(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr+1) |
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_RS smag3D_hLsC(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS smag3D_hLsW(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS smag3D_hLsS(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS smag3D_hLsZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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INTEGER k, bi, bj |
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INTEGER myThid |
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C !OUTPUT PARAMETERS: |
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C viscAh3d_00 :: Smagorinsky viscosity @ grid-cell center |
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C viscAh3d_12 :: Smagorinsky viscosity @ grid-cell corner |
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C viscAh3d_13 :: Smagorinsky viscosity @ above uVel |
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C viscAh3d_23 :: Smagorinsky viscosity @ above vVel |
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_RL viscAh3d_00(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL viscAh3d_12(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL viscAh3d_13(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr+1) |
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_RL viscAh3d_23(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr+1) |
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CEOP |
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#ifdef ALLOW_SMAG_3D |
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C !LOCAL VARIABLES: |
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C S66 :: Sum of squared of the 3 strain component @ grid-cell center |
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C S12 :: Squared of strain component Vxy @ grid-cell corner |
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C S13 :: Squared of strain component Vxz @ above uVel |
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C S23 :: Squared of strain component Vyz @ above vVel |
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INTEGER i, j |
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INTEGER kl, n |
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_RL twoThird, tmpFac |
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_RL S66(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL S12(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL S13(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL S23(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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twoThird = 2. _d 0 / 3. _d 0 |
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DO n=1,2 |
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kl = k + n - 1 |
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IF ( kl.LE.Nr ) THEN |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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S66(i,j,n) = str11(i,j,kl)**2 |
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& + str22(i,j,kl)**2 |
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& + str33(i,j,kl)**2 |
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S12(i,j,n) = str12(i,j,kl)**2 |
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ENDDO |
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ENDDO |
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ELSE |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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S66(i,j,n) = 0. _d 0 |
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S12(i,j,n) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ENDIF |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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S13(i,j,n) = str13(i,j,kl)**2 |
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S23(i,j,n) = str23(i,j,kl)**2 |
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ENDDO |
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ENDDO |
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ENDDO |
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C-- ------------------------------------------------------------------ |
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C-- calculate current level Smag viscosity coeff |
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C-- ------------------------------------------------------------------ |
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C Current level k --> n=1 |
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kl = k |
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n = 1 |
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tmpFac = smag3D_coeff*twoRL*SQRT(twoRL)*drF(kl)**twoThird |
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C viscAh3d_00 = sqrt( S11+S22+S33+2*(S12+S13+S23) ) @ grid-cell center |
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DO j=1-OLy,sNy+OLy-1 |
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DO i=1-OLx,sNx+OLx-1 |
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viscAh3d_00(i,j,kl) = |
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& smag3D_hLsC(i,j,bi,bj)*tmpFac*SQRT( |
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& S66( i , j , n ) |
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& + 0.5*( S12( i ,j+1, n )+S12(i+1,j+1, n ) |
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& +S12( i , j , n )+S12(i+1, j , n ) ) |
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& + 0.5*( S13( i , j , n )+S13(i+1, j , n ) |
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& +S13( i , j ,n+1)+S13(i+1, j ,n+1) ) |
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& + 0.5*( S23( i , j , n )+S23( i ,j+1, n ) |
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& +S23( i , j ,n+1)+S23( i ,j+1,n+1) ) |
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& ) |
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ENDDO |
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ENDDO |
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C viscAh3d_12 = sqrt( S11+S22+S33+2*(S12+S13+S23) ) @ grid-cell corner |
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DO j=2-OLy,sNy+OLy |
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DO i=2-OLx,sNx+OLx |
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viscAh3d_12(i,j,kl) = |
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& smag3D_hLsZ(i,j,bi,bj)*tmpFac*SQRT( |
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& 0.25*( S66(i-1, j , n )+S66( i , j , n ) |
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& +S66(i-1,j-1, n )+S66( i ,j-1, n ) ) |
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& + 2.0 * S12( i , j , n ) |
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& + 0.5 *( S13( i ,j-1, n )+S13( i , j , n ) |
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& +S13( i ,j-1,n+1)+S13( i , j ,n+1) ) |
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& + 0.5 *( S23(i-1, j , n )+S23( i , j , n ) |
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& +S23(i-1, j ,n+1)+S23( i , j ,n+1) ) |
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& ) |
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ENDDO |
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ENDDO |
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C-- ------------------------------------------------------------------ |
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C-- calculate next level (k+1) viscosity coeff (uz,vz) |
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C-- ------------------------------------------------------------------ |
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IF ( k.EQ.1 ) THEN |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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viscAh3d_13(i,j,k) = 0. _d 0 |
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viscAh3d_23(i,j,k) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ENDIF |
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C Next level k+1 --> n=2 |
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kl = k+1 |
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n = 2 |
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tmpFac = smag3D_coeff*twoRL*SQRT(twoRL)*drC(kl)**twoThird |
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C viscAh3d_13 = sqrt( S11+S22+S33+2*(S12+S13+S23) ) @ above uVel |
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DO j=1-OLy,sNy+OLy-1 |
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DO i=2-OLx,sNx+OLx |
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viscAh3d_13(i,j,kl) = |
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& smag3D_hLsW(i,j,bi,bj)*tmpFac*SQRT( |
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& 0.25*( S66(i-1, j ,n-1)+S66( i , j ,n-1) |
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& +S66(i-1, j , n )+S66( i , j , n ) ) |
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& + 0.5 *( S12( i , j ,n-1)+S12( i ,j+1,n-1) |
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& +S12( i , j , n )+S12( i ,j+1, n ) ) |
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& + 2.0 * S13( i , j , n ) |
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& + 0.5 *( S23(i-1,j+1, n )+S23( i ,j+1, n ) |
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& +S23(i-1, j , n )+S23( i , j , n ) ) |
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& ) |
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ENDDO |
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ENDDO |
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C viscAh3d_23 = sqrt( S11+S22+S33+2*(S12+S13+S23) ) @ above vVel |
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DO j=2-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx-1 |
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viscAh3d_23(i,j,kl) = |
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& smag3D_hLsS(i,j,bi,bj)*tmpFac*SQRT( |
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& 0.25*( S66( i ,j-1,n-1)+S66( i , j ,n-1) |
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& +S66( i ,j-1, n )+S66( i , j , n ) ) |
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& + 0.5 *( S12( i , j ,n-1)+S12(i+1, j ,n-1) |
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& +S12( i , j , n )+S12(i+1, j , n ) ) |
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& + 0.5 *( S13( i , j , n )+S13(i+1, j , n ) |
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& +S13( i ,j-1, n )+S13(i+1,j-1, n ) ) |
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& + 2.0 * S23( i , j , n ) |
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& ) |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_DIAGNOSTICS |
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c IF ( useDiagnostics.AND. k.EQ.Nr ) THEN |
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c CALL DIAGNOSTICS_FILL( viscAh3d_00, 'Smag3D_C', |
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c & 0, Nr, 2, bi, bj, myThid ) |
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c ENDIF |
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#endif |
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jmc |
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#endif /* ALLOW_SMAG_3D */ |
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jmc |
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RETURN |
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END |
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