C $Header: /u/gcmpack/MITgcm/pkg/gmredi/gmredi_rtransport.F,v 1.19 2014/09/09 22:34:06 jmc Exp $
C $Name:  $

#include "GMREDI_OPTIONS.h"
#ifdef ALLOW_AUTODIFF
# include "AUTODIFF_OPTIONS.h"
#endif

C     !ROUTINE: GMREDI_RTRANSPORT
C     !INTERFACE:
      SUBROUTINE GMREDI_RTRANSPORT(
     I     trIdentity, bi, bj, k,
     I     iMin, iMax, jMin, jMax,
     I     Tracer,
     U     df,
     I     myThid )

C     !DESCRIPTION: \bv
C     *==========================================================*
C     | o SUBROUTINE GMREDI_RTRANSPORT                           |
C     |   Add vertical transport terms from GM/Redi              |
C     |   parameterization.                                      |
C     *==========================================================*
C     \ev

C     !USES:
      IMPLICIT NONE
C     == GLobal variables ==
#include "SIZE.h"
#include "EEPARAMS.h"
#include "PARAMS.h"
#include "GRID.h"
#include "GMREDI.h"
#include "GAD.h"
#ifdef ALLOW_LONGSTEP
#include "LONGSTEP.h"
#endif

#ifdef ALLOW_AUTODIFF_TAMC
# include "tamc.h"
# include "tamc_keys.h"
# ifdef ALLOW_PTRACERS
#  include "PTRACERS_SIZE.h"
# endif
#endif /* ALLOW_AUTODIFF_TAMC */

C     !INPUT/OUTPUT PARAMETERS:
C     trIdentity   :: tracer Id number
C     bi, bj       :: current tile indices
C     k            :: current level index
C     iMin,iMax    :: Range of 1rst index where results will be set
C     jMin,jMax    :: Range of 2nd  index where results will be set
C     Tracer       :: 3D Tracer field
C     df           :: Diffusive flux component work array.
C     myThid       :: my Thread Id number
      INTEGER trIdentity
      INTEGER bi, bj, k
      INTEGER iMin, iMax, jMin, jMax
      _RL Tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
      _RL df    (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      INTEGER myThid
CEOP

#ifdef ALLOW_GMREDI
C     !LOCAL VARIABLES:
C     i, j    ::  Loop counters
      INTEGER i, j
      _RL dTdx  (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL dTdy  (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
#ifdef GM_BOLUS_ADVEC
      _RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
#endif

#ifdef ALLOW_AUTODIFF_TAMC
          act0 = trIdentity - 1
          max0 = maxpass
          act1 = bi - myBxLo(myThid)
          max1 = myBxHi(myThid) - myBxLo(myThid) + 1
          act2 = bj - myByLo(myThid)
          max2 = myByHi(myThid) - myByLo(myThid) + 1
          act3 = myThid - 1
          max3 = nTx*nTy
          act4 = ikey_dynamics - 1
          igadkey = (act0 + 1)
     &                      + act1*max0
     &                      + act2*max0*max1
     &                      + act3*max0*max1*max2
     &                      + act4*max0*max1*max2*max3
          kkey = (igadkey-1)*Nr + k
          if (trIdentity.GT.maxpass) then
             print *, 'ph-pass gmredi_rtrans ', maxpass, trIdentity
             STOP 'maxpass seems smaller than trIdentity'
          endif
#endif /* ALLOW_AUTODIFF_TAMC */

C     Surface flux is zero
      IF ( useGMRedi .AND. k.GT.1 ) THEN

C-    Horizontal gradients interpolated to W points
      DO j=jMin,jMax
       DO i=iMin,iMax
        dTdx(i,j) = op5*(
     &   +op5*(_maskW(i+1,j,k,bi,bj)
     &         *_recip_dxC(i+1,j,bi,bj)*
     &           (Tracer(i+1,j,k)-Tracer(i,j,k))
     &        +_maskW(i,j,k,bi,bj)
     &         *_recip_dxC(i,j,bi,bj)*
     &           (Tracer(i,j,k)-Tracer(i-1,j,k)) )
     &   +op5*(_maskW(i+1,j,k-1,bi,bj)
     &         *_recip_dxC(i+1,j,bi,bj)*
     &           (Tracer(i+1,j,k-1)-Tracer(i,j,k-1))
     &        +_maskW(i,j,k-1,bi,bj)
     &         *_recip_dxC(i,j,bi,bj)*
     &           (Tracer(i,j,k-1)-Tracer(i-1,j,k-1)) )
     &       )

        dTdy(i,j) = op5*(
     &   +op5*(_maskS(i,j,k,bi,bj)
     &         *_recip_dyC(i,j,bi,bj)*
     &           (Tracer(i,j,k)-Tracer(i,j-1,k))
     &        +_maskS(i,j+1,k,bi,bj)
     &         *_recip_dyC(i,j+1,bi,bj)*
     &           (Tracer(i,j+1,k)-Tracer(i,j,k)) )
     &   +op5*(_maskS(i,j,k-1,bi,bj)
     &         *_recip_dyC(i,j,bi,bj)*
     &           (Tracer(i,j,k-1)-Tracer(i,j-1,k-1))
     &        +_maskS(i,j+1,k-1,bi,bj)
     &         *_recip_dyC(i,j+1,bi,bj)*
     &           (Tracer(i,j+1,k-1)-Tracer(i,j,k-1)) )
     &       )
       ENDDO
      ENDDO

#ifdef GM_AUTODIFF_EXCESSIVE_STORE
CADJ STORE dTdx(:,:) =
CADJ &     comlev1_gmredi_k_gad, key=kkey, byte=isbyte
CADJ STORE dTdy(:,:) =
CADJ &     comlev1_gmredi_k_gad, key=kkey, byte=isbyte
#endif

C-    Off-diagonal components of vertical flux
#ifdef ALLOW_LONGSTEP
      IF ( trIdentity .GE. GAD_TR1 ) THEN
        DO j=jMin,jMax
         DO i=iMin,iMax
          df(i,j) = df(i,j)
     &      - _rA(i,j,bi,bj)*maskInC(i,j,bi,bj)
     &       *( LS_Kwx(i,j,k,bi,bj)*dTdx(i,j)
     &        + LS_Kwy(i,j,k,bi,bj)*dTdy(i,j) )
         ENDDO
        ENDDO
      ELSE
#endif /* ALLOW_LONGSTEP */
        DO j=jMin,jMax
         DO i=iMin,iMax
          df(i,j) = df(i,j)
     &      - _rA(i,j,bi,bj)*maskInC(i,j,bi,bj)
     &       *( Kwx(i,j,k,bi,bj)*dTdx(i,j)
     &        + Kwy(i,j,k,bi,bj)*dTdy(i,j) )
         ENDDO
        ENDDO
#ifdef ALLOW_LONGSTEP
      ENDIF
#endif /* ALLOW_LONGSTEP */

#ifdef GM_BOLUS_ADVEC
      IF (GM_AdvForm .AND. GM_AdvSeparate
     & .AND. .NOT.GM_InMomAsStress) THEN
       DO j=jMin,jMax
        DO i=iMin,iMax
         rTrans(i,j) =
     &      dyG(i+1,j,bi,bj)*GM_PsiX(i+1,j,k,bi,bj)
     &     -dyG( i ,j,bi,bj)*GM_PsiX( i ,j,k,bi,bj)
     &     +dxG(i,j+1,bi,bj)*GM_PsiY(i,j+1,k,bi,bj)
     &     -dxG(i, j ,bi,bj)*GM_PsiY(i, j ,k,bi,bj)
        ENDDO
       ENDDO
#ifdef GM_AUTODIFF_EXCESSIVE_STORE
CADJ STORE rtrans(:,:) =
CADJ &     comlev1_gmredi_k_gad, key=kkey, byte=isbyte
#endif
       DO j=jMin,jMax
        DO i=iMin,iMax
         df(i,j) = df(i,j)
     &    +rTrans(i,j)*op5
     &                *(Tracer(i,j,k)+Tracer(i,j,k-1))
     &        *maskInC(i,j,bi,bj)
        ENDDO
       ENDDO
      ENDIF
#endif /* GM_BOLUS_ADVEC */

c     IF (.NOT.implicitDiffusion) THEN
C This vertical diffusion term is currently implemented
C by adding the VisbeckK*Kwz diffusivity to KappaRT/S
C See calc_diffusivity.F and calc_gt.F (calc_gs.F)
c      DO j=jMin,jMax
c       DO i=iMin,iMax
c        df(i,j) = df(i,j) - _rA(i,j,bi,bj)
c    &    *maskUp(i,j)*VisbeckK(i,j,bi,bj)*Kwz(i,j,k,bi,bj)
c    &    *recip_drC(k)*rkfac
c    &    *(Tracer(i,j,k-1)-Tracer(i,j,k))
c    &    *maskInC(i,j,bi,bj)
c       ENDDO
c      ENDDO
c     ENDIF

      ENDIF
#endif /* ALLOW_GMREDI */

      RETURN
      END