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C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_u3_adv_x.F,v 1.4 2002/01/08 21:43:23 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_X |
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|
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C !INTERFACE: ========================================================== |
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SUBROUTINE GAD_U3_ADV_X( |
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I bi,bj,k, |
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I uTrans, |
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I tracer, |
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O uT, |
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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 zonal 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^x_{adv} = U \overline{ \theta - \frac{1}{6} \delta_{ii} \theta }^i |
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C + \frac{1}{12} |U| \delta_{iii} \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 uTrans :: zonal 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 uTrans(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 uT :: zonal advective flux |
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_RL uT (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 i-1,i,i+1 |
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C Rjjm,Rjjp :: second differences at i-1,i |
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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 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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ENDDO |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx+2,sNx+Olx-1 |
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Rjp=(tracer(i+1,j)-tracer(i,j))*maskW(i+1,j,k,bi,bj) |
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Rj =(tracer(i,j)-tracer(i-1,j))*maskW(i,j,k,bi,bj) |
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Rjm=(tracer(i-1,j)-tracer(i-2,j))*maskW(i-1,j,k,bi,bj) |
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Rjjp=Rjp-Rj |
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Rjjm=Rj-Rjm |
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uT(i,j) = |
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& uTrans(i,j)*( |
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& Tracer(i,j)+Tracer(i-1,j)-oneSixth*( Rjjp+Rjjm ) |
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& )*0.5 _d 0 |
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& +ABS( uTrans(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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