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C | SUBROUTINE GAD_C4_ADV_R | |
C | SUBROUTINE GAD_C4_ADV_R | |
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C | o Compute vertical advective Flux of Tracer using | |
C | o Compute vertical advective Flux of Tracer using | |
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C | 4th Order Centered Scheme | |
C | 4th Order Centered Scheme | |
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C | o reduced to 2nd or 3rd Order near a boundary | |
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C |==========================================================| |
C |==========================================================| |
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IMPLICIT NONE |
IMPLICIT NONE |
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C == Local variables == |
C == Local variables == |
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INTEGER i,j,kp1,km1,km2 |
INTEGER i,j,kp1,km1,km2 |
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_RL Cr,Rjm,Rj,Rjp,Rjjm,Rjjp |
_RL Rjm,Rj,Rjp,Rjjm,Rjjp |
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#include "GAD_FLUX_LIMITER.h" |
_RL maskP1 |
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km2=MAX(1,k-2) |
km2=MAX(1,k-2) |
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km1=MAX(1,k-1) |
km1=MAX(1,k-1) |
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kp1=MIN(Nr,k+1) |
kp1=MIN(Nr,k+1) |
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maskP1 = 1. |
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IF (k.GE.Nr) maskP1 = 0. |
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IF ( k.EQ.1 .OR. k.GT.Nr) THEN |
IF ( k.EQ.1 .OR. k.GT.Nr) THEN |
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DO j=1-Oly,sNy+Oly |
DO j=1-Oly,sNy+Oly |
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wT(i,j) = 0. |
wT(i,j) = 0. |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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ELSEIF ( k.EQ.2 ) THEN |
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Rjjm= 0. |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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Rjp=(tracer(i,j,kp1,bi,bj)-tracer(i,j,k,bi,bj)) |
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Rj =(tracer(i,j,k,bi,bj)-tracer(i,j,km1,bi,bj)) |
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Rjjp=(Rjp-Rj)*maskC(i,j,kp1,bi,bj)*maskP1 |
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wT(i,j) = maskC(i,j,km1,bi,bj)*( |
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& rTrans(i,j)*( |
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& (Tracer(i,j,k,bi,bj)+Tracer(i,j,km1,bi,bj))*0.5 _d 0 |
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& -oneSixth*(Rjjm+Rjjp)*0.5 _d 0 ) |
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& +ABS(rTrans(i,j))* |
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& oneSixth*(Rjjm-Rjjp)*0.5 _d 0 |
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& ) |
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ENDDO |
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ENDDO |
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ELSEIF ( k.EQ.Nr ) THEN |
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Rjjp= 0. |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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Rj =(tracer(i,j,k,bi,bj)-tracer(i,j,km1,bi,bj)) |
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Rjm=(tracer(i,j,km1,bi,bj)-tracer(i,j,km2,bi,bj)) |
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Rjjm=(Rj-Rjm)*maskC(i,j,km2,bi,bj) |
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wT(i,j) = maskC(i,j,km1,bi,bj)*( |
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& rTrans(i,j)*( |
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& (Tracer(i,j,k,bi,bj)+Tracer(i,j,km1,bi,bj))*0.5 _d 0 |
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& -oneSixth*(Rjjm+Rjjp)*0.5 _d 0 ) |
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& +ABS(rTrans(i,j))* |
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& oneSixth*(Rjjm-Rjjp)*0.5 _d 0 |
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& ) |
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ENDDO |
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ENDDO |
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ELSE |
ELSE |
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DO j=1-Oly,sNy+Oly |
DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
DO i=1-Olx,sNx+Olx |
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Rjp=(tracer(i,j,kp1,bi,bj)-tracer(i,j,k,bi,bj)) |
Rjp=(tracer(i,j,kp1,bi,bj)-tracer(i,j,k,bi,bj)) |
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& *maskC(i,j,kp1,bi,bj) |
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Rj =(tracer(i,j,k,bi,bj)-tracer(i,j,km1,bi,bj)) |
Rj =(tracer(i,j,k,bi,bj)-tracer(i,j,km1,bi,bj)) |
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Rjm=(tracer(i,j,km1,bi,bj)-tracer(i,j,km2,bi,bj)) |
Rjm=(tracer(i,j,km1,bi,bj)-tracer(i,j,km2,bi,bj)) |
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& *maskC(i,j,km2,bi,bj) |
Rjjp=(Rjp-Rj)*maskC(i,j,kp1,bi,bj) |
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Rjjp=Rjp-Rj |
Rjjm=(Rj-Rjm)*maskC(i,j,km2,bi,bj) |
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Rjjm=Rj-Rjm |
wT(i,j) = maskC(i,j,km1,bi,bj)*( |
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wT(i,j) = maskC(i,j,kM1,bi,bj)* |
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& rTrans(i,j)*( |
& rTrans(i,j)*( |
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& (Tracer(i,j,k,bi,bj)+Tracer(i,j,kM1,bi,bj))*0.5 _d 0 |
& (Tracer(i,j,k,bi,bj)+Tracer(i,j,km1,bi,bj))*0.5 _d 0 |
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& -oneSixth*(Rjjm+Rjjp)*0.5 _d 0 ) |
& -oneSixth*(Rjjm+Rjjp)*0.5 _d 0 ) |
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& +ABS(rTrans(i,j))* |
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& oneSixth*(Rjjm-Rjjp)*0.5 _d 0 |
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& *( 1. _d 0 - maskC(i,j,km2,bi,bj)*maskC(i,j,kp1,bi,bj) ) |
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& ) |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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ENDIF |
ENDIF |