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jmc |
1.8 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_dst3fl_adv_x.F,v 1.7 2005/08/19 22:19:35 heimbach Exp $ |
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jmc |
1.5 |
C $Name: $ |
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adcroft |
1.1 |
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#include "GAD_OPTIONS.h" |
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SUBROUTINE GAD_DST3FL_ADV_X( |
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heimbach |
1.7 |
I bi,bj,k,deltaTloc, |
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adcroft |
1.1 |
I uTrans, uVel, |
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jmc |
1.6 |
I maskLocW, tracer, |
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adcroft |
1.1 |
O uT, |
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I myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE GAD_DST3FL_ADV_X | |
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C | o Compute Zonal advective Flux of Tracer using | |
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C | 3rd Order DST Sceheme with flux limiting | |
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C |==========================================================| |
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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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#include "GAD.h" |
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C == Routine arguments == |
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INTEGER bi,bj,k |
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heimbach |
1.7 |
_RL deltaTloc |
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adcroft |
1.1 |
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uVel(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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jmc |
1.6 |
_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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_RL uT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER myThid |
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C == Local variables == |
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jmc |
1.5 |
C uFld :: velocity [m/s], zonal component |
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adcroft |
1.1 |
INTEGER i,j |
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adcroft |
1.3 |
_RL Rjm,Rj,Rjp,cfl,d0,d1,psiP,psiM,thetaP,thetaM |
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jmc |
1.5 |
_RL uFld |
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jmc |
1.8 |
_RL thetaMax |
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PARAMETER( thetaMax = 1.D+20 ) |
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C- jmc: an alternative would be to compute directly psiM*Rj & psiP*Rj |
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C (if Rj*Rjm < 0 => psiP*Rj = 0 , elsef Rj > 0 ... , else ... ) |
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C with no need to compute thetaM (might be easier to differentiate) |
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adcroft |
1.1 |
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DO j=1-Oly,sNy+Oly |
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jmc |
1.8 |
uT(1-Olx,j)=0. _d 0 |
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uT(2-Olx,j)=0. _d 0 |
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uT(sNx+Olx,j)=0. _d 0 |
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adcroft |
1.1 |
DO i=1-Olx+2,sNx+Olx-1 |
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jmc |
1.6 |
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 |
1.5 |
c uFld = uVel(i,j,k,bi,bj) |
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uFld = uTrans(i,j)*recip_dyG(i,j,bi,bj) |
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& *recip_drF(k)*recip_hFacW(i,j,k,bi,bj) |
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heimbach |
1.7 |
cfl=abs(uFld*deltaTloc*recip_dxC(i,j,bi,bj)) |
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jmc |
1.8 |
d0=(2. _d 0 -cfl)*(1. _d 0 -cfl)*oneSixth |
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d1=(1. _d 0 -cfl*cfl)*oneSixth |
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C- the old version: can produce overflow, division by zero, |
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c and is wrong for tracer with low concentration: |
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c thetaP=Rjm/(1.D-20+Rj) |
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c thetaM=Rjp/(1.D-20+Rj) |
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C- the right expression, but not bounded: |
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heimbach |
1.4 |
c thetaP=0.D0 |
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jmc |
1.8 |
c thetaM=0.D0 |
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heimbach |
1.4 |
c IF (Rj.NE.0.D0) thetaP=Rjm/Rj |
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jmc |
1.8 |
c IF (Rj.NE.0.D0) thetaM=Rjp/Rj |
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C- prevent |thetaP,M| to reach too big value: |
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IF ( ABS(Rj)*thetaMax .LE. ABS(Rjm) ) THEN |
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thetaP=SIGN(thetaMax,Rjm*Rj) |
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ELSE |
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thetaP=Rjm/Rj |
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ENDIF |
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IF ( ABS(Rj)*thetaMax .LE. ABS(Rjp) ) THEN |
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thetaM=SIGN(thetaMax,Rjp*Rj) |
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ELSE |
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thetaM=Rjp/Rj |
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ENDIF |
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adcroft |
1.1 |
psiP=d0+d1*thetaP |
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jmc |
1.8 |
psiP=MAX(0. _d 0, MIN(MIN(1. _d 0,psiP), |
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& thetaP*(1. _d 0 -cfl)/(cfl+1. _d -20) )) |
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adcroft |
1.1 |
psiM=d0+d1*thetaM |
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jmc |
1.8 |
psiM=MAX(0. _d 0, MIN(MIN(1. _d 0,psiM), |
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& thetaM*(1. _d 0 -cfl)/(cfl+1. _d -20) )) |
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adcroft |
1.1 |
uT(i,j)= |
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heimbach |
1.2 |
& 0.5*(uTrans(i,j)+abs(uTrans(i,j))) |
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& *( Tracer(i-1,j) + psiP*Rj ) |
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& +0.5*(uTrans(i,j)-abs(uTrans(i,j))) |
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& *( Tracer( i ,j) - psiM*Rj ) |
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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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