pkg/generic_advdiff/gad_calc_rhs.F

C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_calc_rhs.F,v 1.23 2004/01/07 21:35:00 jmc Exp $
C $Name:  $

#include "GAD_OPTIONS.h"

CBOP
C !ROUTINE: GAD_CALC_RHS

C !INTERFACE: ==========================================================
      SUBROUTINE GAD_CALC_RHS( 
     I           bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown,
     I           xA,yA,uTrans,vTrans,rTrans,rTransKp1,maskUp,
     I           uVel, vVel, wVel,
     I           diffKh, diffK4, KappaRT, Tracer,
     I           tracerIdentity, advectionScheme, 
     I           calcAdvection, implicitAdvection,
     U           fVerT, gTracer,
     I           myThid )

C !DESCRIPTION:
C Calculates the tendancy of a tracer due to advection and diffusion.
C It calculates the fluxes in each direction indepentently and then
C sets the tendancy to the divergence of these fluxes. The advective
C fluxes are only calculated here when using the linear advection schemes
C otherwise only the diffusive and parameterized fluxes are calculated.
C
C Contributions to the flux are calculated and added:
C \begin{equation*}
C {\bf F} = {\bf F}_{adv} + {\bf F}_{diff} +{\bf F}_{GM} + {\bf F}_{KPP}
C \end{equation*}
C
C The tendancy is the divergence of the fluxes:
C \begin{equation*}
C G_\theta = G_\theta + \nabla \cdot {\bf F}
C \end{equation*}
C
C The tendancy is assumed to contain data on entry.

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

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

C !INPUT PARAMETERS: ===================================================
C bi,bj            :: tile indices
C iMin,iMax        :: loop range for called routines
C jMin,jMax        :: loop range for called routines
C kup              :: index into 2 1/2D array, toggles between 1|2
C kdown            :: index into 2 1/2D array, toggles between 2|1
C kp1              :: =k+1 for k<Nr, =Nr for k=Nr
C xA,yA            :: areas of X and Y face of tracer cells
C uTrans,vTrans    :: 2-D arrays of volume transports at U,V points
C rTrans           :: 2-D arrays of volume transports at W points
C rTransKp1        :: 2-D array of volume trans at W pts, interf k+1
C maskUp           :: 2-D array for mask at W points
C uVel,vVel,wVel   :: 3 components of the velcity field (3-D array)
C diffKh           :: horizontal diffusion coefficient
C diffK4           :: bi-harmonic diffusion coefficient
C KappaRT          :: 3-D array for vertical diffusion coefficient
C Tracer           :: tracer field
C tracerIdentity   :: tracer identifier (required for KPP,GM)
C advectionScheme  :: advection scheme to use
C calcAdvection    :: =False if Advec computed with multiDim scheme
C implicitAdvection:: =True if vertical Advec computed implicitly
C myThid           :: thread number
      INTEGER bi,bj,iMin,iMax,jMin,jMax
      INTEGER k,kUp,kDown,kM1
      _RS xA    (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RS yA    (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL rTransKp1(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL uVel  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      _RL vVel  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      _RL wVel  (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      _RL diffKh, diffK4
      _RL KappaRT(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
      _RL Tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      INTEGER tracerIdentity
      INTEGER advectionScheme
      LOGICAL calcAdvection
      LOGICAL implicitAdvection
      INTEGER myThid

C !OUTPUT PARAMETERS: ==================================================
C gTracer          :: tendancy array
C fVerT            :: 2 1/2D arrays for vertical advective flux
      _RL gTracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      _RL fVerT (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)

C !LOCAL VARIABLES: ====================================================
C i,j              :: loop indices
C df4              :: used for storing del^2 T for bi-harmonic term
C fZon             :: zonal flux
C fmer             :: meridional flux
C af               :: advective flux
C df               :: diffusive flux
C localT           :: local copy of tracer field
      INTEGER i,j
      _RL df4   (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL fZon  (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL fMer  (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL af    (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL df    (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL localT(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
      _RL advFac, rAdvFac
CEOP

#ifdef ALLOW_AUTODIFF_TAMC
C--   only the kUp part of fverT is set in this subroutine
C--   the kDown is still required
      fVerT(1,1,kDown) = fVerT(1,1,kDown)
#endif

      advFac  = 0. _d 0
      IF (calcAdvection) advFac = 1. _d 0
      rAdvFac = rkFac*advFac
      IF (implicitAdvection) rAdvFac = 0. _d 0

      DO j=1-OLy,sNy+OLy
       DO i=1-OLx,sNx+OLx
        fZon(i,j)      = 0. _d 0
        fMer(i,j)      = 0. _d 0
        fVerT(i,j,kUp) = 0. _d 0
        df(i,j)        = 0. _d 0
        df4(i,j)       = 0. _d 0
       ENDDO
      ENDDO

C--   Make local copy of tracer array
      DO j=1-OLy,sNy+OLy
       DO i=1-OLx,sNx+OLx
        localT(i,j)=tracer(i,j,k,bi,bj)
       ENDDO
      ENDDO

C--   Unless we have already calculated the advection terms we initialize
C     the tendency to zero.
C     <== now done earlier at the beginning of thermodynamics.
c     IF (calcAdvection) THEN
c      DO j=1-Oly,sNy+Oly
c       DO i=1-Olx,sNx+Olx
c        gTracer(i,j,k,bi,bj)=0. _d 0
c       ENDDO
c      ENDDO
c     ENDIF

C--   Pre-calculate del^2 T if bi-harmonic coefficient is non-zero
      IF (diffK4 .NE. 0.) THEN
       CALL GAD_GRAD_X(bi,bj,k,xA,localT,fZon,myThid)
       CALL GAD_GRAD_Y(bi,bj,k,yA,localT,fMer,myThid)
       CALL GAD_DEL2(bi,bj,k,fZon,fMer,df4,myThid)
      ENDIF

C--   Initialize net flux in X direction
      DO j=1-Oly,sNy+Oly
       DO i=1-Olx,sNx+Olx
        fZon(i,j) = 0. _d 0
       ENDDO
      ENDDO

C-    Advective flux in X
      IF (calcAdvection) THEN
      IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN
       CALL GAD_C2_ADV_X(bi,bj,k,uTrans,localT,af,myThid)
      ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN
       CALL GAD_FLUXLIMIT_ADV_X(
     &      bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid)
      ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN
       CALL GAD_U3_ADV_X(bi,bj,k,uTrans,localT,af,myThid)
      ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN
       CALL GAD_C4_ADV_X(bi,bj,k,uTrans,localT,af,myThid)
      ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN
       CALL GAD_DST3_ADV_X(
     &       bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid)
      ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN
       CALL GAD_DST3FL_ADV_X(
     &       bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid)
      ELSE
       STOP 'GAD_CALC_RHS: Bad advectionScheme (X)'
      ENDIF
      DO j=1-Oly,sNy+Oly
       DO i=1-Olx,sNx+Olx
        fZon(i,j) = fZon(i,j) + af(i,j)
       ENDDO
      ENDDO
      ENDIF

C-    Diffusive flux in X
      IF (diffKh.NE.0.) THEN
       CALL GAD_DIFF_X(bi,bj,k,xA,diffKh,localT,df,myThid)
      ELSE
       DO j=1-Oly,sNy+Oly
        DO i=1-Olx,sNx+Olx
         df(i,j) = 0. _d 0
        ENDDO
       ENDDO
      ENDIF

#ifdef ALLOW_GMREDI
C-    GM/Redi flux in X
      IF (useGMRedi) THEN
C *note* should update GMREDI_XTRANSPORT to use localT and set df  *aja*
        CALL GMREDI_XTRANSPORT(
     I     iMin,iMax,jMin,jMax,bi,bj,K,
     I     xA,Tracer,tracerIdentity,
     U     df,
     I     myThid)
      ENDIF
#endif
      DO j=1-Oly,sNy+Oly
       DO i=1-Olx,sNx+Olx
        fZon(i,j) = fZon(i,j) + df(i,j)
       ENDDO
      ENDDO

C-    Bi-harmonic duffusive flux in X
      IF (diffK4 .NE. 0.) THEN
       CALL GAD_BIHARM_X(bi,bj,k,xA,df4,diffK4,df,myThid)
       DO j=1-Oly,sNy+Oly
        DO i=1-Olx,sNx+Olx
         fZon(i,j) = fZon(i,j) + df(i,j)
        ENDDO
       ENDDO
      ENDIF

C--   Initialize net flux in Y direction
      DO j=1-Oly,sNy+Oly
       DO i=1-Olx,sNx+Olx
        fMer(i,j) = 0. _d 0
       ENDDO
      ENDDO

C-    Advective flux in Y
      IF (calcAdvection) THEN
      IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN
       CALL GAD_C2_ADV_Y(bi,bj,k,vTrans,localT,af,myThid)
      ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN
       CALL GAD_FLUXLIMIT_ADV_Y(
     &       bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid)
      ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN
       CALL GAD_U3_ADV_Y(bi,bj,k,vTrans,localT,af,myThid)
      ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN
       CALL GAD_C4_ADV_Y(bi,bj,k,vTrans,localT,af,myThid)
      ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN
       CALL GAD_DST3_ADV_Y(
     &       bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid)
      ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN
       CALL GAD_DST3FL_ADV_Y(
     &       bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid)
      ELSE
       STOP 'GAD_CALC_RHS: Bad advectionScheme (Y)'
      ENDIF
      DO j=1-Oly,sNy+Oly
       DO i=1-Olx,sNx+Olx
        fMer(i,j) = fMer(i,j) + af(i,j)
       ENDDO
      ENDDO
      ENDIF

C-    Diffusive flux in Y
      IF (diffKh.NE.0.) THEN
       CALL GAD_DIFF_Y(bi,bj,k,yA,diffKh,localT,df,myThid)
      ELSE
       DO j=1-Oly,sNy+Oly
        DO i=1-Olx,sNx+Olx
         df(i,j) = 0. _d 0
        ENDDO
       ENDDO
      ENDIF

#ifdef ALLOW_GMREDI
C-    GM/Redi flux in Y
      IF (useGMRedi) THEN
C *note* should update GMREDI_YTRANSPORT to use localT and set df  *aja*
       CALL GMREDI_YTRANSPORT(
     I     iMin,iMax,jMin,jMax,bi,bj,K,
     I     yA,Tracer,tracerIdentity,
     U     df,
     I     myThid)
      ENDIF
#endif
      DO j=1-Oly,sNy+Oly
       DO i=1-Olx,sNx+Olx
        fMer(i,j) = fMer(i,j) + df(i,j)
       ENDDO
      ENDDO

C-    Bi-harmonic flux in Y
      IF (diffK4 .NE. 0.) THEN
       CALL GAD_BIHARM_Y(bi,bj,k,yA,df4,diffK4,df,myThid)
       DO j=1-Oly,sNy+Oly
        DO i=1-Olx,sNx+Olx
         fMer(i,j) = fMer(i,j) + df(i,j)
        ENDDO
       ENDDO
      ENDIF

C--   Compute vertical flux fVerT(kUp) at interface k (between k-1 & k):
C-    Advective flux in R
      IF (calcAdvection .AND. .NOT.implicitAdvection .AND. K.GE.2) THEN
C-    Compute vertical advective flux in the interior:
       IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN
        CALL GAD_C2_ADV_R(bi,bj,k,rTrans,tracer,af,myThid)
       ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN
        CALL GAD_FLUXLIMIT_ADV_R(
     &       bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid)
       ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN
        CALL GAD_U3_ADV_R(bi,bj,k,rTrans,tracer,af,myThid)
       ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN
        CALL GAD_C4_ADV_R(bi,bj,k,rTrans,tracer,af,myThid)
       ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN
        CALL GAD_DST3_ADV_R(
     &       bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid)
       ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN
        CALL GAD_DST3FL_ADV_R(
     &       bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid)
       ELSE
        STOP 'GAD_CALC_RHS: Bad advectionScheme (R)'
       ENDIF
C-     add the advective flux to fVerT
       DO j=1-Oly,sNy+Oly
        DO i=1-Olx,sNx+Olx
         fVerT(i,j,kUp) = fVerT(i,j,kUp) + af(i,j)
        ENDDO
       ENDDO
      ENDIF

C-    Diffusive flux in R
C     Note: For K=1 then KM1=1 and this gives a dT/dr = 0 upper
C           boundary condition.
      IF (implicitDiffusion) THEN
       DO j=1-Oly,sNy+Oly
        DO i=1-Olx,sNx+Olx
         df(i,j) = 0. _d 0
        ENDDO
       ENDDO
      ELSE
       CALL GAD_DIFF_R(bi,bj,k,KappaRT,tracer,df,myThid)
      ENDIF

#ifdef ALLOW_GMREDI
C-    GM/Redi flux in R
      IF (useGMRedi) THEN
C *note* should update GMREDI_RTRANSPORT to set df  *aja*
       CALL GMREDI_RTRANSPORT(
     I     iMin,iMax,jMin,jMax,bi,bj,K,
     I     Tracer,tracerIdentity,
     U     df,
     I     myThid)
      ENDIF
#endif

      DO j=1-Oly,sNy+Oly
       DO i=1-Olx,sNx+Olx
        fVerT(i,j,kUp) = fVerT(i,j,kUp) + df(i,j)*maskUp(i,j)
       ENDDO
      ENDDO

#ifdef ALLOW_KPP
C-    Add non local KPP transport term (ghat) to diffusive T flux.
      IF (useKPP) THEN
       DO j=1-Oly,sNy+Oly
        DO i=1-Olx,sNx+Olx
         df(i,j) = 0. _d 0
        ENDDO
       ENDDO
       IF (tracerIdentity.EQ.GAD_TEMPERATURE) THEN
C *note* should update KPP_TRANSPORT_T to set df  *aja*
        CALL KPP_TRANSPORT_T(
     I     iMin,iMax,jMin,jMax,bi,bj,k,km1,
     I     KappaRT,
     U     df )
       ELSEIF (tracerIdentity.EQ.GAD_SALINITY) THEN
        CALL KPP_TRANSPORT_S(
     I     iMin,iMax,jMin,jMax,bi,bj,k,km1,
     I     KappaRT,
     U     df )
#ifdef ALLOW_PTRACERS
       ELSEIF (tracerIdentity .GE. GAD_TR1) THEN
        CALL KPP_TRANSPORT_PTR(
     I     iMin,iMax,jMin,jMax,bi,bj,k,km1,
     I     tracerIdentity-GAD_TR1+1,KappaRT,
     U     df )
#endif
       ELSE
        PRINT*,'invalid tracer indentity: ', tracerIdentity
        STOP 'GAD_CALC_RHS: Ooops'
       ENDIF
       DO j=1-Oly,sNy+Oly
        DO i=1-Olx,sNx+Olx
         fVerT(i,j,kUp) = fVerT(i,j,kUp) + df(i,j)*maskUp(i,j)
        ENDDO
       ENDDO
      ENDIF
#endif

C--   Divergence of fluxes
      DO j=1-Oly,sNy+Oly-1
       DO i=1-Olx,sNx+Olx-1
        gTracer(i,j,k,bi,bj)=gTracer(i,j,k,bi,bj)
     &   -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k)*recip_rA(i,j,bi,bj)
     &   *( (fZon(i+1,j)-fZon(i,j))
     &     +(fMer(i,j+1)-fMer(i,j))
     &     +(fVerT(i,j,kUp)-fVerT(i,j,kDown))*rkFac
     &     -localT(i,j)*( (uTrans(i+1,j)-uTrans(i,j))
     &                   +(vTrans(i,j+1)-vTrans(i,j))
     &                   +(rTrans(i,j)-rTransKp1(i,j))*rAdvFac
     &                  )*advFac
     &    )
       ENDDO
      ENDDO

      RETURN
      END
1	edhill	1.24	C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_calc_rhs.F,v 1.23 2004/01/07 21:35:00 jmc Exp $
2	jmc	1.2	C $Name: $
3	adcroft	1.1
4			#include "GAD_OPTIONS.h"
5
6	adcroft	1.11	CBOP
7			C !ROUTINE: GAD_CALC_RHS
8
9			C !INTERFACE: ==========================================================
10	adcroft	1.1	SUBROUTINE GAD_CALC_RHS(
11			I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown,
12	jmc	1.23	I xA,yA,uTrans,vTrans,rTrans,rTransKp1,maskUp,
13			I uVel, vVel, wVel,
14	adcroft	1.1	I diffKh, diffK4, KappaRT, Tracer,
15	jmc	1.23	I tracerIdentity, advectionScheme,
16			I calcAdvection, implicitAdvection,
17	adcroft	1.1	U fVerT, gTracer,
18			I myThid )
19	adcroft	1.11
20			C !DESCRIPTION:
21			C Calculates the tendancy of a tracer due to advection and diffusion.
22			C It calculates the fluxes in each direction indepentently and then
23			C sets the tendancy to the divergence of these fluxes. The advective
24			C fluxes are only calculated here when using the linear advection schemes
25			C otherwise only the diffusive and parameterized fluxes are calculated.
26			C
27			C Contributions to the flux are calculated and added:
28			C \begin{equation*}
29			C {\bf F} = {\bf F}_{adv} + {\bf F}_{diff} +{\bf F}_{GM} + {\bf F}_{KPP}
30			C \end{equation*}
31			C
32			C The tendancy is the divergence of the fluxes:
33			C \begin{equation*}
34			C G_\theta = G_\theta + \nabla \cdot {\bf F}
35			C \end{equation*}
36			C
37			C The tendancy is assumed to contain data on entry.
38
39			C !USES: ===============================================================
40	adcroft	1.1	IMPLICIT NONE
41			#include "SIZE.h"
42			#include "EEPARAMS.h"
43			#include "PARAMS.h"
44			#include "GRID.h"
45	jmc	1.16	#include "SURFACE.h"
46	adcroft	1.1	#include "GAD.h"
47
48	heimbach	1.13	#ifdef ALLOW_AUTODIFF_TAMC
49			#include "tamc.h"
50			#include "tamc_keys.h"
51			#endif /* ALLOW_AUTODIFF_TAMC */
52
53	adcroft	1.11	C !INPUT PARAMETERS: ===================================================
54	edhill	1.24	C bi,bj :: tile indices
55			C iMin,iMax :: loop range for called routines
56			C jMin,jMax :: loop range for called routines
57			C kup :: index into 2 1/2D array, toggles between 1\|2
58			C kdown :: index into 2 1/2D array, toggles between 2\|1
59			C kp1 :: =k+1 for k<Nr, =Nr for k=Nr
60			C xA,yA :: areas of X and Y face of tracer cells
61			C uTrans,vTrans :: 2-D arrays of volume transports at U,V points
62			C rTrans :: 2-D arrays of volume transports at W points
63			C rTransKp1 :: 2-D array of volume trans at W pts, interf k+1
64			C maskUp :: 2-D array for mask at W points
65			C uVel,vVel,wVel :: 3 components of the velcity field (3-D array)
66			C diffKh :: horizontal diffusion coefficient
67			C diffK4 :: bi-harmonic diffusion coefficient
68			C KappaRT :: 3-D array for vertical diffusion coefficient
69			C Tracer :: tracer field
70			C tracerIdentity :: tracer identifier (required for KPP,GM)
71			C advectionScheme :: advection scheme to use
72			C calcAdvection :: =False if Advec computed with multiDim scheme
73			C implicitAdvection:: =True if vertical Advec computed implicitly
74			C myThid :: thread number
75	adcroft	1.11	INTEGER bi,bj,iMin,iMax,jMin,jMax
76	adcroft	1.1	INTEGER k,kUp,kDown,kM1
77			_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
78			_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
79			_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
80			_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
81			_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
82	jmc	1.23	_RL rTransKp1(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
83	adcroft	1.1	_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
84	jmc	1.23	_RL uVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
85			_RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
86			_RL wVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
87	adcroft	1.1	_RL diffKh, diffK4
88			_RL KappaRT(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
89			_RL Tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
90			INTEGER tracerIdentity
91	adcroft	1.3	INTEGER advectionScheme
92	jmc	1.14	LOGICAL calcAdvection
93	jmc	1.23	LOGICAL implicitAdvection
94	adcroft	1.11	INTEGER myThid
95
96			C !OUTPUT PARAMETERS: ==================================================
97	edhill	1.24	C gTracer :: tendancy array
98			C fVerT :: 2 1/2D arrays for vertical advective flux
99	adcroft	1.11	_RL gTracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
100	adcroft	1.1	_RL fVerT (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2)
101
102	adcroft	1.11	C !LOCAL VARIABLES: ====================================================
103	edhill	1.24	C i,j :: loop indices
104			C df4 :: used for storing del^2 T for bi-harmonic term
105			C fZon :: zonal flux
106			C fmer :: meridional flux
107			C af :: advective flux
108			C df :: diffusive flux
109			C localT :: local copy of tracer field
110	adcroft	1.1	INTEGER i,j
111			_RL df4 (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
112			_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
113			_RL fMer (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
114			_RL af (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
115			_RL df (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
116			_RL localT(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
117	jmc	1.23	_RL advFac, rAdvFac
118	adcroft	1.11	CEOP
119	adcroft	1.1
120			#ifdef ALLOW_AUTODIFF_TAMC
121			C-- only the kUp part of fverT is set in this subroutine
122			C-- the kDown is still required
123			fVerT(1,1,kDown) = fVerT(1,1,kDown)
124			#endif
125	heimbach	1.13
126	jmc	1.23	advFac = 0. _d 0
127			IF (calcAdvection) advFac = 1. _d 0
128			rAdvFac = rkFac*advFac
129			IF (implicitAdvection) rAdvFac = 0. _d 0
130
131	adcroft	1.1	DO j=1-OLy,sNy+OLy
132			DO i=1-OLx,sNx+OLx
133	heimbach	1.12	fZon(i,j) = 0. _d 0
134			fMer(i,j) = 0. _d 0
135			fVerT(i,j,kUp) = 0. _d 0
136	heimbach	1.13	df(i,j) = 0. _d 0
137			df4(i,j) = 0. _d 0
138	adcroft	1.1	ENDDO
139			ENDDO
140
141			C-- Make local copy of tracer array
142			DO j=1-OLy,sNy+OLy
143			DO i=1-OLx,sNx+OLx
144			localT(i,j)=tracer(i,j,k,bi,bj)
145			ENDDO
146			ENDDO
147
148	adcroft	1.8	C-- Unless we have already calculated the advection terms we initialize
149			C the tendency to zero.
150	jmc	1.20	C <== now done earlier at the beginning of thermodynamics.
151			c IF (calcAdvection) THEN
152			c DO j=1-Oly,sNy+Oly
153			c DO i=1-Olx,sNx+Olx
154			c gTracer(i,j,k,bi,bj)=0. _d 0
155			c ENDDO
156			c ENDDO
157			c ENDIF
158	adcroft	1.1
159			C-- Pre-calculate del^2 T if bi-harmonic coefficient is non-zero
160			IF (diffK4 .NE. 0.) THEN
161			CALL GAD_GRAD_X(bi,bj,k,xA,localT,fZon,myThid)
162			CALL GAD_GRAD_Y(bi,bj,k,yA,localT,fMer,myThid)
163			CALL GAD_DEL2(bi,bj,k,fZon,fMer,df4,myThid)
164			ENDIF
165
166			C-- Initialize net flux in X direction
167			DO j=1-Oly,sNy+Oly
168			DO i=1-Olx,sNx+Olx
169	heimbach	1.12	fZon(i,j) = 0. _d 0
170	adcroft	1.1	ENDDO
171			ENDDO
172
173			C- Advective flux in X
174	jmc	1.14	IF (calcAdvection) THEN
175	adcroft	1.3	IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN
176	adcroft	1.1	CALL GAD_C2_ADV_X(bi,bj,k,uTrans,localT,af,myThid)
177	adcroft	1.3	ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN
178	adcroft	1.1	CALL GAD_FLUXLIMIT_ADV_X(
179			& bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid)
180	adcroft	1.3	ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN
181	jmc	1.2	CALL GAD_U3_ADV_X(bi,bj,k,uTrans,localT,af,myThid)
182	adcroft	1.3	ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN
183	adcroft	1.1	CALL GAD_C4_ADV_X(bi,bj,k,uTrans,localT,af,myThid)
184	adcroft	1.4	ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN
185			CALL GAD_DST3_ADV_X(
186			& bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid)
187			ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN
188			CALL GAD_DST3FL_ADV_X(
189			& bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid)
190	adcroft	1.1	ELSE
191	adcroft	1.3	STOP 'GAD_CALC_RHS: Bad advectionScheme (X)'
192	adcroft	1.1	ENDIF
193	adcroft	1.5	DO j=1-Oly,sNy+Oly
194			DO i=1-Olx,sNx+Olx
195	adcroft	1.1	fZon(i,j) = fZon(i,j) + af(i,j)
196			ENDDO
197			ENDDO
198	adcroft	1.8	ENDIF
199	adcroft	1.1
200			C- Diffusive flux in X
201			IF (diffKh.NE.0.) THEN
202			CALL GAD_DIFF_X(bi,bj,k,xA,diffKh,localT,df,myThid)
203			ELSE
204	adcroft	1.5	DO j=1-Oly,sNy+Oly
205			DO i=1-Olx,sNx+Olx
206	heimbach	1.12	df(i,j) = 0. _d 0
207	adcroft	1.1	ENDDO
208			ENDDO
209			ENDIF
210
211			#ifdef ALLOW_GMREDI
212			C- GM/Redi flux in X
213			IF (useGMRedi) THEN
214			C note should update GMREDI_XTRANSPORT to use localT and set df aja
215			CALL GMREDI_XTRANSPORT(
216			I iMin,iMax,jMin,jMax,bi,bj,K,
217	heimbach	1.15	I xA,Tracer,tracerIdentity,
218	adcroft	1.1	U df,
219			I myThid)
220			ENDIF
221			#endif
222	adcroft	1.5	DO j=1-Oly,sNy+Oly
223			DO i=1-Olx,sNx+Olx
224	adcroft	1.1	fZon(i,j) = fZon(i,j) + df(i,j)
225			ENDDO
226			ENDDO
227
228			C- Bi-harmonic duffusive flux in X
229			IF (diffK4 .NE. 0.) THEN
230			CALL GAD_BIHARM_X(bi,bj,k,xA,df4,diffK4,df,myThid)
231	adcroft	1.5	DO j=1-Oly,sNy+Oly
232			DO i=1-Olx,sNx+Olx
233	adcroft	1.1	fZon(i,j) = fZon(i,j) + df(i,j)
234			ENDDO
235			ENDDO
236			ENDIF
237
238			C-- Initialize net flux in Y direction
239			DO j=1-Oly,sNy+Oly
240			DO i=1-Olx,sNx+Olx
241	heimbach	1.12	fMer(i,j) = 0. _d 0
242	adcroft	1.1	ENDDO
243			ENDDO
244
245			C- Advective flux in Y
246	jmc	1.14	IF (calcAdvection) THEN
247	adcroft	1.3	IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN
248	adcroft	1.1	CALL GAD_C2_ADV_Y(bi,bj,k,vTrans,localT,af,myThid)
249	adcroft	1.3	ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN
250	adcroft	1.1	CALL GAD_FLUXLIMIT_ADV_Y(
251			& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid)
252	adcroft	1.3	ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN
253	jmc	1.2	CALL GAD_U3_ADV_Y(bi,bj,k,vTrans,localT,af,myThid)
254	adcroft	1.3	ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN
255	adcroft	1.1	CALL GAD_C4_ADV_Y(bi,bj,k,vTrans,localT,af,myThid)
256	adcroft	1.4	ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN
257			CALL GAD_DST3_ADV_Y(
258			& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid)
259			ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN
260			CALL GAD_DST3FL_ADV_Y(
261			& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid)
262	adcroft	1.1	ELSE
263	adcroft	1.3	STOP 'GAD_CALC_RHS: Bad advectionScheme (Y)'
264	adcroft	1.1	ENDIF
265			DO j=1-Oly,sNy+Oly
266			DO i=1-Olx,sNx+Olx
267			fMer(i,j) = fMer(i,j) + af(i,j)
268			ENDDO
269			ENDDO
270	adcroft	1.8	ENDIF
271	adcroft	1.1
272			C- Diffusive flux in Y
273			IF (diffKh.NE.0.) THEN
274			CALL GAD_DIFF_Y(bi,bj,k,yA,diffKh,localT,df,myThid)
275			ELSE
276			DO j=1-Oly,sNy+Oly
277			DO i=1-Olx,sNx+Olx
278	heimbach	1.12	df(i,j) = 0. _d 0
279	adcroft	1.1	ENDDO
280			ENDDO
281			ENDIF
282
283			#ifdef ALLOW_GMREDI
284			C- GM/Redi flux in Y
285			IF (useGMRedi) THEN
286	heimbach	1.7	C note should update GMREDI_YTRANSPORT to use localT and set df aja
287	adcroft	1.1	CALL GMREDI_YTRANSPORT(
288			I iMin,iMax,jMin,jMax,bi,bj,K,
289	heimbach	1.15	I yA,Tracer,tracerIdentity,
290	adcroft	1.1	U df,
291			I myThid)
292			ENDIF
293			#endif
294			DO j=1-Oly,sNy+Oly
295			DO i=1-Olx,sNx+Olx
296			fMer(i,j) = fMer(i,j) + df(i,j)
297			ENDDO
298			ENDDO
299
300			C- Bi-harmonic flux in Y
301			IF (diffK4 .NE. 0.) THEN
302			CALL GAD_BIHARM_Y(bi,bj,k,yA,df4,diffK4,df,myThid)
303			DO j=1-Oly,sNy+Oly
304			DO i=1-Olx,sNx+Olx
305			fMer(i,j) = fMer(i,j) + df(i,j)
306			ENDDO
307			ENDDO
308			ENDIF
309
310	jmc	1.16	C-- Compute vertical flux fVerT(kUp) at interface k (between k-1 & k):
311	adcroft	1.1	C- Advective flux in R
312	jmc	1.23	IF (calcAdvection .AND. .NOT.implicitAdvection .AND. K.GE.2) THEN
313	jmc	1.2	C- Compute vertical advective flux in the interior:
314	adcroft	1.3	IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN
315	jmc	1.2	CALL GAD_C2_ADV_R(bi,bj,k,rTrans,tracer,af,myThid)
316	adcroft	1.3	ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN
317	jmc	1.2	CALL GAD_FLUXLIMIT_ADV_R(
318	adcroft	1.1	& bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid)
319	adcroft	1.3	ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN
320	jmc	1.2	CALL GAD_U3_ADV_R(bi,bj,k,rTrans,tracer,af,myThid)
321	adcroft	1.3	ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN
322	jmc	1.2	CALL GAD_C4_ADV_R(bi,bj,k,rTrans,tracer,af,myThid)
323	adcroft	1.4	ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN
324	adcroft	1.9	CALL GAD_DST3_ADV_R(
325			& bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid)
326	adcroft	1.4	ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN
327	adcroft	1.9	CALL GAD_DST3FL_ADV_R(
328			& bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid)
329	jmc	1.2	ELSE
330	adcroft	1.3	STOP 'GAD_CALC_RHS: Bad advectionScheme (R)'
331	jmc	1.2	ENDIF
332	jmc	1.23	C- add the advective flux to fVerT
333	jmc	1.2	DO j=1-Oly,sNy+Oly
334			DO i=1-Olx,sNx+Olx
335	jmc	1.23	fVerT(i,j,kUp) = fVerT(i,j,kUp) + af(i,j)
336	jmc	1.2	ENDDO
337	adcroft	1.1	ENDDO
338	adcroft	1.8	ENDIF
339	adcroft	1.1
340			C- Diffusive flux in R
341			C Note: For K=1 then KM1=1 and this gives a dT/dr = 0 upper
342			C boundary condition.
343			IF (implicitDiffusion) THEN
344	adcroft	1.5	DO j=1-Oly,sNy+Oly
345			DO i=1-Olx,sNx+Olx
346	heimbach	1.12	df(i,j) = 0. _d 0
347	adcroft	1.1	ENDDO
348			ENDDO
349			ELSE
350			CALL GAD_DIFF_R(bi,bj,k,KappaRT,tracer,df,myThid)
351			ENDIF
352
353			#ifdef ALLOW_GMREDI
354			C- GM/Redi flux in R
355			IF (useGMRedi) THEN
356			C note should update GMREDI_RTRANSPORT to set df aja
357			CALL GMREDI_RTRANSPORT(
358			I iMin,iMax,jMin,jMax,bi,bj,K,
359	heimbach	1.15	I Tracer,tracerIdentity,
360	adcroft	1.1	U df,
361			I myThid)
362			ENDIF
363			#endif
364
365	adcroft	1.5	DO j=1-Oly,sNy+Oly
366			DO i=1-Olx,sNx+Olx
367	adcroft	1.11	fVerT(i,j,kUp) = fVerT(i,j,kUp) + df(i,j)*maskUp(i,j)
368	adcroft	1.1	ENDDO
369			ENDDO
370
371			#ifdef ALLOW_KPP
372			C- Add non local KPP transport term (ghat) to diffusive T flux.
373			IF (useKPP) THEN
374	adcroft	1.5	DO j=1-Oly,sNy+Oly
375			DO i=1-Olx,sNx+Olx
376	heimbach	1.12	df(i,j) = 0. _d 0
377	adcroft	1.1	ENDDO
378			ENDDO
379			IF (tracerIdentity.EQ.GAD_TEMPERATURE) THEN
380			C note should update KPP_TRANSPORT_T to set df aja
381			CALL KPP_TRANSPORT_T(
382			I iMin,iMax,jMin,jMax,bi,bj,k,km1,
383			I KappaRT,
384			U df )
385			ELSEIF (tracerIdentity.EQ.GAD_SALINITY) THEN
386			CALL KPP_TRANSPORT_S(
387			I iMin,iMax,jMin,jMax,bi,bj,k,km1,
388			I KappaRT,
389			U df )
390	mlosch	1.18	#ifdef ALLOW_PTRACERS
391	dimitri	1.22	ELSEIF (tracerIdentity .GE. GAD_TR1) THEN
392	mlosch	1.18	CALL KPP_TRANSPORT_PTR(
393			I iMin,iMax,jMin,jMax,bi,bj,k,km1,
394	dimitri	1.21	I tracerIdentity-GAD_TR1+1,KappaRT,
395	mlosch	1.18	U df )
396			#endif
397	adcroft	1.1	ELSE
398	mlosch	1.18	PRINT*,'invalid tracer indentity: ', tracerIdentity
399	adcroft	1.1	STOP 'GAD_CALC_RHS: Ooops'
400			ENDIF
401	adcroft	1.5	DO j=1-Oly,sNy+Oly
402			DO i=1-Olx,sNx+Olx
403	adcroft	1.11	fVerT(i,j,kUp) = fVerT(i,j,kUp) + df(i,j)*maskUp(i,j)
404	adcroft	1.1	ENDDO
405			ENDDO
406			ENDIF
407			#endif
408
409			C-- Divergence of fluxes
410	adcroft	1.10	DO j=1-Oly,sNy+Oly-1
411			DO i=1-Olx,sNx+Olx-1
412	adcroft	1.8	gTracer(i,j,k,bi,bj)=gTracer(i,j,k,bi,bj)
413	jmc	1.23	& -_recip_hFacC(i,j,k,bi,bj)recip_drF(k)recip_rA(i,j,bi,bj)
414			& *( (fZon(i+1,j)-fZon(i,j))
415			& +(fMer(i,j+1)-fMer(i,j))
416			& +(fVerT(i,j,kUp)-fVerT(i,j,kDown))*rkFac
417			& -localT(i,j)*( (uTrans(i+1,j)-uTrans(i,j))
418			& +(vTrans(i,j+1)-vTrans(i,j))
419			& +(rTrans(i,j)-rTransKp1(i,j))*rAdvFac
420			& )*advFac
421	adcroft	1.1	& )
422			ENDDO
423			ENDDO
424
425			RETURN
426			END