C $Header: /home/ubuntu/mnt/e9_copy/MITgcm/pkg/mom_common/mom_calc_strain.F,v 1.5 2015/09/10 17:53:04 jmc Exp $
C $Name:  $

#include "MOM_COMMON_OPTIONS.h"

CBOP
C !ROUTINE: MOM_CALC_STRAIN

C !INTERFACE: ==========================================================
      SUBROUTINE MOM_CALC_STRAIN(
     I        bi,bj,k,
     I        uFld, vFld, hFacZ,
     O        strain,
     I        myThid )

C !DESCRIPTION:
C Calculates the strain of the horizontal flow field (at vorticity points):
C \begin{equation*}
C D_S = \frac{\Delta y_u}{\Delta x_v} \delta_i \frac{v}{\Delta y_c}
C     + \frac{\Delta x_v}{\Delta y_u} \delta_j \frac{u}{\Delta x_c}
C \end{equation*}
C assuming free-slip boundaries.

C !USES: ===============================================================
      IMPLICIT NONE
#include "SIZE.h"
#include "EEPARAMS.h"
#include "PARAMS.h"
#include "GRID.h"

C !INPUT PARAMETERS: ===================================================
C  bi,bj                :: tile indices
C  k                    :: vertical level
C  uFld                 :: zonal flow
C  vFld                 :: meridional flow
C  hFacZ                :: open-water thickness at vorticity points
C  myThid               :: thread number
      INTEGER bi,bj,k
      _RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      INTEGER myThid

C !OUTPUT PARAMETERS: ==================================================
C  strain               :: strain of horizontal flow
      _RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy)

C !LOCAL VARIABLES: ====================================================
C  i,j                  :: loop indices
      INTEGER i,j
CEOP

      DO j=2-OLy,sNy+OLy
       DO i=2-OLx,sNx+OLx

C       Strain of horizontal flow field (ignoring lopping factors)
        strain(i,j)=
     &    ( dyC( i , j ,bi,bj)*vFld( i , j )
     &     -dyC(i-1, j ,bi,bj)*vFld(i-1, j )
     &     +dxC( i , j ,bi,bj)*uFld( i , j )
     &     -dxC( i ,j-1,bi,bj)*uFld( i ,j-1)
     &    )*recip_rAz(i,j,bi,bj)*recip_deepFacC(k)
c       strain(i,j)=
c    &    dyU(i,j,bi,bj)*recip_dxV(i,j,bi,bj)*(
c    &              vFld( i , j )*recip_dyC( i , j ,bi,bj)
c    &             -vFld(i-1, j )*recip_dyC(i-1, j ,bi,bj) )
c    &   +dxV(i,j,bi,bj)*recip_dyU(i,j,bi,bj)*(
c    &             +uFld( i , j )*recip_dxC( i , j ,bi,bj)
c    &             -uFld( i ,j-1)*recip_dxC( i ,j-1,bi,bj) )

C       Set strain to zero on boundaries (free-slip)
C       mask is now applied afterwards, outside this S/R.
c       IF (hFacZ(i,j).EQ.0.) THEN
c        strain(i,j)=0.
c       ENDIF

       ENDDO
      ENDDO

C     Special stuff for Cubed Sphere
      IF (useCubedSphereExchange) THEN
c      STOP 'S/R MOM_CALC_STRAIN: We should not use strain on the cube!'
      ENDIF

      RETURN
      END