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C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_u3_adv_y.F,v 1.4 2002/01/08 21:43:24 jmc Exp $ |
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C $Name: $ |
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|
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#include "GAD_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: GAD_U3_ADV_Y |
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|
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C !INTERFACE: ========================================================== |
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SUBROUTINE GAD_U3_ADV_Y( |
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I bi,bj,k, |
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I vTrans, |
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I tracer, |
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O vT, |
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I myThid ) |
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|
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C !DESCRIPTION: |
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C Calculates the area integrated meridional 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^y_{adv} = V \overline{ \theta - \frac{1}{6} \delta_{jj} \theta }^j |
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C + \frac{1}{12} |V| \delta_{jjj} \theta |
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C \end{equation*} |
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C Near boundaries, mask all the gradients ==> still 3rd O. |
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|
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C !USES: =============================================================== |
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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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|
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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 vTrans :: meridional volume transport |
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C tracer :: tracer field |
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C myThid :: thread number |
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INTEGER bi,bj,k |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER myThid |
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|
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C !OUTPUT PARAMETERS: ================================================== |
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C vT :: meridional advective flux |
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_RL vT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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C !LOCAL VARIABLES: ==================================================== |
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C i,j :: loop indices |
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C Rjm,Rj,Rjp :: differences at j-1,j,j+1 |
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C Rjjm,Rjjp :: second differences at j-1,j |
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INTEGER i,j |
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_RL Rjm,Rj,Rjp,Rjjm,Rjjp |
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CEOP |
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|
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DO i=1-Olx,sNx+Olx |
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vT(i,1-Oly)=0. |
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vT(i,2-Oly)=0. |
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vT(i,sNy+Oly)=0. |
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ENDDO |
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DO j=1-Oly+2,sNy+Oly-1 |
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DO i=1-Olx,sNx+Olx |
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Rjp=(tracer(i,j+1)-tracer(i,j))*maskS(i,j+1,k,bi,bj) |
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Rj =(tracer(i,j)-tracer(i,j-1))*maskS(i,j,k,bi,bj) |
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Rjm=(tracer(i,j-1)-tracer(i,j-2))*maskS(i,j-1,k,bi,bj) |
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Rjjp=Rjp-Rj |
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Rjjm=Rj-Rjm |
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vT(i,j) = |
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& vTrans(i,j)*( |
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& Tracer(i,j)+Tracer(i,j-1)-oneSixth*( Rjjp+Rjjm ) |
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& )*0.5 _d 0 |
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& +ABS( vTrans(i,j) )*0.5 _d 0*oneSixth*( Rjjp-Rjjm ) |
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ENDDO |
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ENDDO |
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|
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RETURN |
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END |
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