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C $Header: /u/gcmpack/MITgcm/pkg/mom_common/mom_calc_3d_strain.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_3D_STRAIN |
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C !INTERFACE: |
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SUBROUTINE MOM_CALC_3D_STRAIN( |
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O str11, str22, str33, str12, str13, str23, |
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I bi, bj, myThid ) |
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C !DESCRIPTION: |
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C Calculates the strain tensor of the 3-D flow field |
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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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#include "DYNVARS.h" |
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C !INPUT PARAMETERS: |
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C bi, bj :: tile indices |
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C myThid :: my Thread Id number |
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INTEGER bi, bj |
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INTEGER myThid |
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C !OUTPUT 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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_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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#ifdef ALLOW_SMAG_3D |
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C !LOCAL VARIABLES: |
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C i, j, k :: loop indices |
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INTEGER i, j, k |
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INTEGER kp1 |
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_RL maskp1 |
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LOGICAL freeSlip3d |
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CEOP |
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freeSlip3d = .NOT.( no_slip_sides .AND. no_slip_bottom ) |
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DO k=1,Nr |
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kp1 = MIN(k+1,Nr) |
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maskp1 = oneRL |
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IF ( k.EQ.Nr ) maskp1 = zeroRL |
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C- Fills up array edges: |
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i = sNx+OLx |
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DO j=1-OLy,sNy+OLy |
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str11(i,j,k) = 0. _d 0 |
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ENDDO |
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j = sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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str22(i,j,k) = 0. _d 0 |
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ENDDO |
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i = 1-OLx |
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DO j=1-OLy,sNy+OLy |
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str12(i,j,k) = 0. _d 0 |
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str13(i,j,k) = 0. _d 0 |
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ENDDO |
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j = 1-OLy |
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DO i=1-OLx,sNx+OLx |
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str12(i,j,k) = 0. _d 0 |
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str23(i,j,k) = 0. _d 0 |
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ENDDO |
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C str11 = u_x |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx-1 |
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str11(i,j,k) = recip_dxF(i,j,bi,bj) |
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& *( uVel(i+1, j , k ,bi,bj)-uVel( i , j , k ,bi,bj) ) |
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ENDDO |
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ENDDO |
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C str22 = v_y |
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DO j=1-OLy,sNy+OLy-1 |
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DO i=1-OLx,sNx+OLx |
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str22(i,j,k) = recip_dyF(i,j,bi,bj) |
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& *( vVel( i ,j+1, k ,bi,bj)-vVel( i , j , k ,bi,bj) ) |
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ENDDO |
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ENDDO |
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C str33 = w_z |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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str33(i,j,k) = recip_drF(k)*rkSign |
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& *( maskp1*wVel( i , j ,kp1,bi,bj)-wVel( i , j , k ,bi,bj) ) |
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ENDDO |
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ENDDO |
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C str12 = ( u_y + v_x )/2 |
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DO j=2-OLy,sNy+OLy |
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DO i=2-OLx,sNx+OLx |
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str12(i,j,k) = halfRL*( |
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& recip_dyU(i,j,bi,bj) |
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& *( uVel( i , j , k ,bi,bj)-uVel( i ,j-1, k ,bi,bj) ) |
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& +recip_dxV(i,j,bi,bj) |
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& *( vVel( i , j , k ,bi,bj)-vVel(i-1, j , k ,bi,bj) ) |
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& ) |
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ENDDO |
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ENDDO |
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C str13 & str23 special case: k=1 |
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IF ( k.EQ.1 .AND. freeSlip3d ) 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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str13(i,j,k) = 0. _d 0 |
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str23(i,j,k) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ELSEIF ( k.EQ.1 ) THEN |
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C-- should put surface wind-stress if z-coords; but right in p-coords: |
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DO j=1-OLy,sNy+OLy |
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DO i=2-OLx,sNx+OLx |
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str13(i,j,k) = halfRL*( |
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& recip_drC(k)*rkSign |
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& *( uVel( i , j , k ,bi,bj)*twoRL ) |
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& +recip_dxC(i,j,bi,bj) |
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& *( wVel( i , j , k ,bi,bj)-wVel(i-1, j , k ,bi,bj) ) |
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& ) |
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ENDDO |
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ENDDO |
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DO j=2-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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str23(i,j,k) = halfRL*( |
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& recip_drC(k)*rkSign |
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& *( vVel( i , j , k ,bi,bj)*twoRL ) |
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& +recip_dyC(i,j,bi,bj) |
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& *( wVel( i , j , k ,bi,bj)-wVel( i ,j-1, k ,bi,bj) ) |
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& ) |
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ENDDO |
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ENDDO |
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ELSE |
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C str13 = ( u_z + w_x )/2 |
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DO j=1-OLy,sNy+OLy |
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DO i=2-OLx,sNx+OLx |
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str13(i,j,k) = halfRL*( |
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& recip_drC(k)*rkSign |
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& *( uVel( i , j , k ,bi,bj)-uVel( i , j ,k-1 ,bi,bj) ) |
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& +recip_dxC(i,j,bi,bj) |
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& *( wVel( i , j , k ,bi,bj)-wVel(i-1, j , k ,bi,bj) ) |
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& ) |
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ENDDO |
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ENDDO |
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C str23 = ( v_z + w_y )/2 |
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DO j=2-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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str23(i,j,k) = halfRL*( |
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& recip_drC(k)*rkSign |
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& *( vVel( i , j , k ,bi,bj)-vVel( i , j ,k-1,bi,bj) ) |
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& +recip_dyC(i,j,bi,bj) |
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& *( wVel( i , j , k ,bi,bj)-wVel( i ,j-1, k ,bi,bj) ) |
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& ) |
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ENDDO |
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ENDDO |
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ENDIF |
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IF ( freeSlip3d ) THEN |
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DO j=2-OLy,sNy+OLy |
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DO i=2-OLx,sNx+OLx |
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str12(i,j,k) = str12(i,j,k) |
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& *maskW(i,j-1,k,bi,bj)*maskW(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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IF ( k.GE.2 ) THEN |
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DO j=1-OLy,sNy+OLy |
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DO i=2-OLx,sNx+OLx |
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str13(i,j,k) = str13(i,j,k) |
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& *maskW(i,j,k-1,bi,bj)*maskW(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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DO j=2-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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str23(i,j,k) = str23(i,j,k) |
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& *maskS(i,j,k-1,bi,bj)*maskS(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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ENDIF |
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C-- end k loop |
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ENDDO |
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C-- fill-up strain tensor component at the very bottom (k=Nr+1) |
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k = Nr+1 |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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str13(i,j,k) = 0. _d 0 |
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str23(i,j,k) = 0. _d 0 |
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ENDDO |
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ENDDO |
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IF ( .NOT.freeSlip3d ) THEN |
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C str13 = ( u_z + w_x )/2 |
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DO j=1-OLy,sNy+OLy |
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DO i=2-OLx,sNx+OLx |
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str13(i,j,k) = |
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& recip_drF(Nr)*rkSign |
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c & recip_drC(k)*rkSign |
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& *( 0. _d 0 - uVel( i , j ,k-1 ,bi,bj) ) |
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ENDDO |
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ENDDO |
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C str23 = ( v_z + w_y )/2 |
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DO j=2-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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str23(i,j,k) = |
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& recip_drF(Nr)*rkSign |
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c & recip_drC(k)*rkSign |
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& *( 0. _d 0 - vVel( i , j ,k-1,bi,bj) ) |
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ENDDO |
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ENDDO |
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ENDIF |
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C Special stuff for Cubed Sphere |
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c IF (useCubedSphereExchange) THEN |
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c STOP 'S/R MOM_CALC_3D_STRAIN: should not be used on the cube!' |
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c ENDIF |
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#endif /* ALLOW_SMAG_3D */ |
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RETURN |
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END |