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jmc |
1.10 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_dst3_adv_x.F,v 1.9 2006/06/19 14:40:43 jmc Exp $ |
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adcroft |
1.2 |
C $Name: $ |
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adcroft |
1.1 |
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#include "GAD_OPTIONS.h" |
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jmc |
1.10 |
CBOP |
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C !ROUTINE: GAD_DST3_ADV_X |
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C !INTERFACE: ========================================================== |
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jmc |
1.8 |
SUBROUTINE GAD_DST3_ADV_X( |
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heimbach |
1.5 |
I bi,bj,k,deltaTloc, |
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jmc |
1.8 |
I uTrans, uFld, |
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jmc |
1.4 |
I maskLocW, tracer, |
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adcroft |
1.1 |
O uT, |
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I myThid ) |
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jmc |
1.10 |
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C !DESCRIPTION: |
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C Calculates the area integrated zonal flux due to advection of a |
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C tracer using 3rd-order Direct Space and Time (DST-3) Advection Scheme |
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C !USES: =============================================================== |
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adcroft |
1.1 |
IMPLICIT NONE |
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C == GLobal variables == |
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#include "SIZE.h" |
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#include "GRID.h" |
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heimbach |
1.5 |
#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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adcroft |
1.1 |
#include "GAD.h" |
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C == Routine arguments == |
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jmc |
1.10 |
C !INPUT PARAMETERS: =================================================== |
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C bi,bj :: tile indices |
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C k :: vertical level |
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C deltaTloc :: local time-step (s) |
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C uTrans :: zonal volume transport |
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C uFld :: zonal flow |
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C tracer :: tracer field |
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C myThid :: thread number |
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adcroft |
1.1 |
INTEGER bi,bj,k |
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heimbach |
1.5 |
_RL deltaTloc |
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adcroft |
1.1 |
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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jmc |
1.8 |
_RL uFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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jmc |
1.4 |
_RS maskLocW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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adcroft |
1.1 |
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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jmc |
1.10 |
INTEGER myThid |
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C !OUTPUT PARAMETERS: ================================================== |
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C uT :: zonal advective flux |
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adcroft |
1.1 |
_RL uT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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C == Local variables == |
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jmc |
1.10 |
C !LOCAL VARIABLES: ==================================================== |
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C i,j :: loop indices |
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C uLoc :: velocity [m/s], zonal component |
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C cfl :: Courant-Friedrich-Levy number |
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adcroft |
1.1 |
INTEGER i,j |
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jmc |
1.10 |
_RL uLoc |
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adcroft |
1.1 |
_RL Rjm,Rj,Rjp,cfl,d0,d1 |
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jmc |
1.10 |
#ifdef OLD_DST3_FORMULATION |
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adcroft |
1.2 |
_RL psiP,psiM,thetaP,thetaM |
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heimbach |
1.5 |
_RL smallNo |
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jmc |
1.6 |
c _RL Rjjm,Rjjp |
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heimbach |
1.5 |
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IF (inAdMode) THEN |
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smallNo = 1.0D-20 |
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ELSE |
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smallNo = 1.0D-20 |
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ENDIF |
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jmc |
1.10 |
#endif |
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adcroft |
1.1 |
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DO j=1-Oly,sNy+Oly |
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uT(1-Olx,j)=0. |
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uT(2-Olx,j)=0. |
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uT(sNx+Olx,j)=0. |
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DO i=1-Olx+2,sNx+Olx-1 |
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jmc |
1.4 |
Rjp=(tracer(i+1,j)-tracer( i ,j))*maskLocW(i+1,j) |
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Rj =(tracer( i ,j)-tracer(i-1,j))*maskLocW( i ,j) |
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Rjm=(tracer(i-1,j)-tracer(i-2,j))*maskLocW(i-1,j) |
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adcroft |
1.1 |
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jmc |
1.9 |
uLoc = uFld(i,j) |
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c uLoc = uTrans(i,j)*recip_dyG(i,j,bi,bj) |
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c & *recip_drF(k)*_recip_hFacW(i,j,k,bi,bj) |
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jmc |
1.10 |
cfl=ABS(uLoc*deltaTloc*recip_dxC(i,j,bi,bj)) |
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adcroft |
1.2 |
d0=(2.-cfl)*(1.-cfl)*oneSixth |
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d1=(1.-cfl*cfl)*oneSixth |
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jmc |
1.10 |
#ifdef OLD_DST3_FORMULATION |
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heimbach |
1.5 |
IF ( ABS(Rj).LT.smallNo .OR. |
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& ABS(Rjm).LT.smallNo ) THEN |
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thetaP=0. |
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psiP=0. |
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ELSE |
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thetaP=(Rjm+smallNo)/(smallNo+Rj) |
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psiP=d0+d1*thetaP |
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ENDIF |
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IF ( ABS(Rj).LT.smallNo .OR. |
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& ABS(Rjp).LT.smallNo ) THEN |
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thetaM=0. |
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psiM=0. |
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ELSE |
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thetaM=(Rjp+smallNo)/(smallNo+Rj) |
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psiM=d0+d1*thetaM |
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ENDIF |
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adcroft |
1.1 |
uT(i,j)= |
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jmc |
1.10 |
& 0.5*(uTrans(i,j)+ABS(uTrans(i,j))) |
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adcroft |
1.2 |
& *( Tracer(i-1,j) + psiP*Rj ) |
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jmc |
1.10 |
& +0.5*(uTrans(i,j)-ABS(uTrans(i,j))) |
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adcroft |
1.2 |
& *( Tracer( i ,j) - psiM*Rj ) |
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jmc |
1.10 |
#else /* OLD_DST3_FORMULATION */ |
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uT(i,j)= |
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& 0.5*(uTrans(i,j)+ABS(uTrans(i,j))) |
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& *( Tracer(i-1,j) + (d0*Rj+d1*Rjm) ) |
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& +0.5*(uTrans(i,j)-ABS(uTrans(i,j))) |
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& *( Tracer( i ,j) - (d0*Rj+d1*Rjp) ) |
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#endif /* OLD_DST3_FORMULATION */ |
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adcroft |
1.1 |
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ENDDO |
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ENDDO |
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RETURN |
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END |
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