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gad_dst3_adv_y.F
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gad_dst3_adv_y.F
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#include "GAD_OPTIONS.h"
CBOP
C !ROUTINE: GAD_DST3_ADV_Y
C !INTERFACE: ==========================================================
SUBROUTINE GAD_DST3_ADV_Y(
I bi,bj,k, calcCFL, deltaTloc,
I vTrans, vFld,
I maskLocS, tracer,
O vT,
I myThid )
C !DESCRIPTION:
C Calculates the area integrated Meridional flux due to advection of a
C tracer using 3rd-order Direct Space and Time (DST-3) Advection Scheme
C !USES: ===============================================================
IMPLICIT NONE
C == GLobal variables ==
#include "SIZE.h"
#ifdef OLD_DST3_FORMULATION
#include "EEPARAMS.h"
#include "PARAMS.h"
#endif
#include "GRID.h"
#include "GAD.h"
C == Routine arguments ==
C !INPUT PARAMETERS: ===================================================
C bi,bj :: tile indices
C k :: vertical level
C calcCFL :: =T: calculate CFL number ; =F: take vFld as CFL
C deltaTloc :: local time-step (s)
C vTrans :: meridional volume transport
C vFld :: meridional flow / CFL number
C tracer :: tracer field
C myThid :: thread number
INTEGER bi,bj,k
LOGICAL calcCFL
_RL deltaTloc
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL vFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RS maskLocS(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
INTEGER myThid
C !OUTPUT PARAMETERS: ==================================================
C vT :: meridional advective flux
_RL vT (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
C == Local variables ==
C !LOCAL VARIABLES: ====================================================
C i,j :: loop indices
C vCFL :: Courant-Friedrich-Levy number
INTEGER i,j
_RL Rjm,Rj,Rjp,vCFL,d0,d1
#ifdef OLD_DST3_FORMULATION
_RL psiP,psiM,thetaP,thetaM
_RL smallNo
c _RL Rjjm,Rjjp
c IF (inAdMode .AND. useApproxAdvectionInAdMode) THEN
c smallNo = 1.0D-20
c ELSE
smallNo = 1.0D-20
c ENDIF
#endif
DO i=1-OLx,sNx+OLx
vT(i,1-OLy)=0.
vT(i,2-OLy)=0.
vT(i,sNy+OLy)=0.
ENDDO
DO j=1-OLy+2,sNy+OLy-1
DO i=1-OLx,sNx+OLx
Rjp=(tracer(i,j+1)-tracer(i, j ))*maskLocS(i,j+1)
Rj =(tracer(i, j )-tracer(i,j-1))*maskLocS(i, j )
Rjm=(tracer(i,j-1)-tracer(i,j-2))*maskLocS(i,j-1)
vCFL = vFld(i,j)
IF ( calcCFL ) vCFL = ABS( vFld(i,j)*deltaTloc
& *recip_dyC(i,j,bi,bj)*recip_deepFacC(k) )
d0=(2.-vCFL)*(1.-vCFL)*oneSixth
d1=(1.-vCFL*vCFL)*oneSixth
#ifdef OLD_DST3_FORMULATION
IF ( ABS(Rj).LT.smallNo .OR.
& ABS(Rjm).LT.smallNo ) THEN
thetaP=0.
psiP=0.
ELSE
thetaP=(Rjm+smallNo)/(smallNo+Rj)
psiP=d0+d1*thetaP
ENDIF
IF ( ABS(Rj).LT.smallNo .OR.
& ABS(Rjp).LT.smallNo ) THEN
thetaM=0.
psiM=0.
ELSE
thetaM=(Rjp+smallNo)/(smallNo+Rj)
psiM=d0+d1*thetaM
ENDIF
vT(i,j)=
& 0.5*(vTrans(i,j)+ABS(vTrans(i,j)))
& *( Tracer(i,j-1) + psiP*Rj )
& +0.5*(vTrans(i,j)-ABS(vTrans(i,j)))
& *( Tracer(i, j ) - psiM*Rj )
#else /* OLD_DST3_FORMULATION */
vT(i,j)=
& 0.5*(vTrans(i,j)+ABS(vTrans(i,j)))
& *( Tracer(i,j-1) + (d0*Rj+d1*Rjm) )
& +0.5*(vTrans(i,j)-ABS(vTrans(i,j)))
& *( Tracer(i, j ) - (d0*Rj+d1*Rjp) )
#endif /* OLD_DST3_FORMULATION */
ENDDO
ENDDO
RETURN
END