C $Header: /home/ubuntu/mnt/e9_copy/MITgcm/pkg/gmredi/gmredi_calc_psi_b.F,v 1.11 2011/01/11 00:54:45 jmc Exp $
C $Name:  $

#include "GMREDI_OPTIONS.h"

CBOP
C     !ROUTINE: GMREDI_CALC_PSI_B
C     !INTERFACE:
      SUBROUTINE GMREDI_CALC_PSI_B(
     I             bi, bj, iMin, iMax, jMin, jMax,
     I             sigmaX, sigmaY, sigmaR,
     I             ldd97_LrhoW, ldd97_LrhoS,
     I             myThid )

C     !DESCRIPTION: \bv
C     *==========================================================*
C     | SUBROUTINE GMREDI_CALC_PSI_B
C     | o Calculate stream-functions for GM bolus velocity
C     *==========================================================*
C     \ev

C     !USES:
      IMPLICIT NONE

C     == Global variables ==
#include "SIZE.h"
#include "GRID.h"
#include "DYNVARS.h"
#include "EEPARAMS.h"
#include "PARAMS.h"
#include "GMREDI.h"
#include "FFIELDS.h"

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

C     !INPUT/OUTPUT PARAMETERS:
C     == Routine arguments ==
      _RL sigmaX(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr)
      _RL sigmaY(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr)
      _RL sigmaR(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr)
      _RL ldd97_LrhoW(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
      _RL ldd97_LrhoS(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
      INTEGER bi,bj,iMin,iMax,jMin,jMax
      INTEGER myThid
CEOP

#ifdef ALLOW_GMREDI
#ifdef GM_BOLUS_ADVEC

C     !LOCAL VARIABLES:
C     == Local variables ==
      INTEGER i,j,k, km1
      _RL half_K
      _RL SlopeX(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
      _RL SlopeY(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
      _RL dSigmaDrW(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
      _RL dSigmaDrS(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
      _RL taperX(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
      _RL taperY(1-Olx:sNx+Olx,1-Oly:sNy+Oly)

C-    Initialization : <= done in S/R gmredi_init

#ifdef ALLOW_AUTODIFF_TAMC
          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
          igmkey = (act1 + 1) + act2*max1
     &                        + act3*max1*max2
     &                        + act4*max1*max2*max3
#endif /* ALLOW_AUTODIFF_TAMC */

#ifdef ALLOW_AUTODIFF_TAMC
# ifdef GM_VISBECK_VARIABLE_K
CADJ STORE VisbeckK(:,:,bi,bj) = comlev1_bibj, key=igmkey, byte=isbyte
# endif
#endif
      IF (GM_AdvForm) THEN
       DO k=2,Nr
       km1 = k-1

#ifdef ALLOW_AUTODIFF_TAMC
       kkey = (igmkey-1)*Nr + k
       DO j=1-Oly,sNy+Oly
        DO i=1-Olx,sNx+Olx
         SlopeX(i,j)       = 0. _d 0
         SlopeY(i,j)       = 0. _d 0
         dSigmaDrW(i,j)    = 0. _d 0
         dSigmaDrS(i,j)    = 0. _d 0
        ENDDO
       ENDDO
#endif

C      Gradient of Sigma below U and V points
       DO j=1-Oly,sNy+Oly
        DO i=1-Olx+1,sNx+Olx
         SlopeX(i,j)=op5*( sigmaX(i,j,km1)+sigmaX(i,j,k) )
     &                  *maskW(i,j,k,bi,bj)
         dSigmaDrW(i,j)=op5*( sigmaR(i-1,j,k)+sigmaR(i,j,k) )
     &                  *maskW(i,j,k,bi,bj)
        ENDDO
       ENDDO
       DO j=1-Oly+1,sNy+Oly
        DO i=1-Olx,sNx+Olx
         SlopeY(i,j)=op5*( sigmaY(i,j,km1)+sigmaY(i,j,k) )
     &                  *maskS(i,j,k,bi,bj)
         dSigmaDrS(i,j)=op5*( sigmaR(i,j-1,k)+sigmaR(i,j,k) )
     &                  *maskS(i,j,k,bi,bj)
        ENDDO
       ENDDO

C      Calculate slopes , taper and/or clip
       CALL GMREDI_SLOPE_PSI(
     O             taperX, taperY,
     U             SlopeX, SlopeY,
     U             dSigmaDrW, dSigmaDrS,
     I             ldd97_LrhoW, ldd97_LrhoS, rF(k), k,
     I             bi, bj, myThid )

#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE SlopeX(:,:)       = comlev1_bibj_k, key=kkey, byte=isbyte
CADJ STORE SlopeY(:,:)       = comlev1_bibj_k, key=kkey, byte=isbyte
CADJ STORE taperX(:,:)       = comlev1_bibj_k, key=kkey, byte=isbyte
CADJ STORE taperY(:,:)       = comlev1_bibj_k, key=kkey, byte=isbyte
#endif /* ALLOW_AUTODIFF_TAMC */

C-  Compute the 2 stream-function Components ( GM bolus vel.)
       half_K = GM_background_K
     &         *(GM_bolFac1d(km1)+GM_bolFac1d(k))*op25
       DO j=1-Oly,sNy+Oly
        DO i=1-Olx+1,sNx+Olx
          GM_PsiX(i,j,k,bi,bj) = SlopeX(i,j)*taperX(i,j)
#if (defined (ALLOW_AUTODIFF) && defined (ALLOW_KAPGM_CONTROL))
     &     *( kapgm(i,j,k,bi,bj)
#else
     &     *( half_K
     &          *(GM_bolFac2d(i-1,j,bi,bj)+GM_bolFac2d(i,j,bi,bj))
#endif
#ifdef GM_VISBECK_VARIABLE_K
     &      +op5*(VisbeckK(i-1,j,bi,bj)+VisbeckK(i,j,bi,bj))
#endif
     &      )*maskW(i,j,k,bi,bj)
#ifdef ALLOW_EDDYPSI
     &     +eddyPsiX(i,j,k,bi,bj)*maskW(i,j,k,bi,bj)
#endif
        ENDDO
       ENDDO
       DO j=1-Oly+1,sNy+Oly
        DO i=1-Olx,sNx+Olx
         GM_PsiY(i,j,k,bi,bj) = SlopeY(i,j)*taperY(i,j)
#if (defined (ALLOW_AUTODIFF) && defined (ALLOW_KAPGM_CONTROL))
     &     *( kapgm(i,j,k,bi,bj)
#else
     &     *( half_K
     &          *(GM_bolFac2d(i,j-1,bi,bj)+GM_bolFac2d(i,j,bi,bj))
#endif
#ifdef GM_VISBECK_VARIABLE_K
     &      +op5*(VisbeckK(i,j-1,bi,bj)+VisbeckK(i,j,bi,bj))
#endif
     &      )*maskS(i,j,k,bi,bj)
#ifdef ALLOW_EDDYPSI
     &     +eddyPsiY(i,j,k,bi,bj)*maskS(i,j,k,bi,bj)
#endif
        ENDDO
       ENDDO

C----- end of loop on level k
       ENDDO

      ENDIF
#endif /* GM_BOLUS_ADVEC */
#endif /* ALLOW_GMREDI */

      RETURN
      END