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jmc |
1.5 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_u3_adv_r.F,v 1.4 2002/01/08 21:43:24 jmc Exp $ |
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jmc |
1.1 |
C $Name: $ |
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#include "GAD_OPTIONS.h" |
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adcroft |
1.3 |
CBOP |
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C !ROUTINE: GAD_U3_ADV_R |
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C !INTERFACE: ========================================================== |
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jmc |
1.5 |
SUBROUTINE GAD_U3_ADV_R( |
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I bi, bj, k, |
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jmc |
1.1 |
I rTrans, |
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I tracer, |
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O wT, |
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I myThid ) |
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adcroft |
1.3 |
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C !DESCRIPTION: |
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C Calculates the area integrated vertical flux due to advection of a tracer |
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C using upwind biased third-order interpolation (or the $\kappa=1/3$ scheme): |
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C \begin{equation*} |
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C F^r_{adv} = W \overline{ \theta - \frac{1}{6} \delta_{kk} \theta }^k |
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C + \frac{1}{12} |W| \delta_{kkk} \theta |
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C \end{equation*} |
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jmc |
1.4 |
C Near boundaries, mask all the gradients ==> still 3rd O. |
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adcroft |
1.3 |
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C !USES: =============================================================== |
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jmc |
1.1 |
IMPLICIT NONE |
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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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adcroft |
1.3 |
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 rTrans :: vertical volume transport |
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C tracer :: tracer field |
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C myThid :: thread number |
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jmc |
1.1 |
INTEGER bi,bj,k |
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_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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jmc |
1.5 |
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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adcroft |
1.3 |
INTEGER myThid |
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C !OUTPUT PARAMETERS: ================================================== |
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C wT :: vertical advective flux |
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jmc |
1.1 |
_RL wT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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adcroft |
1.3 |
C !LOCAL VARIABLES: ==================================================== |
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C i,j :: loop indices |
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C kp1 :: =min( k+1 , Nr ) |
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C km1 :: =max( k-1 , 1 ) |
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C km2 :: =max( k-2 , 1 ) |
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C Rjm,Rj,Rjp :: differences at i-1,i,i+1 |
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C Rjjm,Rjjp :: second differences at i-1,i |
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jmc |
1.1 |
INTEGER i,j,kp1,km1,km2 |
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jmc |
1.2 |
_RL Rjm,Rj,Rjp,Rjjm,Rjjp |
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adcroft |
1.3 |
CEOP |
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jmc |
1.1 |
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km2=MAX(1,k-2) |
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km1=MAX(1,k-1) |
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kp1=MIN(Nr,k+1) |
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IF ( k.EQ.1 .OR. k.GT.Nr ) THEN |
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jmc |
1.5 |
DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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jmc |
1.1 |
wT(i,j) = 0. |
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ENDDO |
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ENDDO |
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ELSE |
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jmc |
1.5 |
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)-tracer(i,j, k ))*maskC(i,j,kp1,bi,bj) |
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Rj = (tracer(i,j, k )-tracer(i,j,km1)) |
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Rjm = (tracer(i,j,km1)-tracer(i,j,km2))*maskC(i,j,km2,bi,bj) |
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Rjjp = Rjp-Rj |
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Rjjm = Rj-Rjm |
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jmc |
1.1 |
wT(i,j) = maskC(i,j,km1,bi,bj)*( |
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jmc |
1.5 |
& rTrans(i,j)*( (tracer(i,j,k)+tracer(i,j,km1))*0.5 _d 0 |
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& -oneSixth*(Rjjm+Rjjp)*0.5 _d 0 ) |
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jmc |
1.1 |
& +ABS(rTrans(i,j))* |
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jmc |
1.5 |
& oneSixth*(Rjjm-Rjjp)*0.5 _d 0 |
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jmc |
1.1 |
& ) |
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ENDDO |
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ENDDO |
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ENDIF |
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RETURN |
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END |
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