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jmc |
1.6 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_u3_adv_x.F,v 1.5 2008/02/29 01:31:00 mlosch 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_X |
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C !INTERFACE: ========================================================== |
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jmc |
1.6 |
SUBROUTINE GAD_U3_ADV_X( |
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jmc |
1.1 |
I bi,bj,k, |
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jmc |
1.6 |
I uTrans, maskLocW, |
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jmc |
1.1 |
I tracer, |
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O uT, |
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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 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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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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jmc |
1.6 |
c#include "GRID.h" |
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jmc |
1.1 |
#include "GAD.h" |
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adcroft |
1.3 |
C !INPUT PARAMETERS: =================================================== |
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jmc |
1.6 |
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 maskLocW :: mask (either 0 or 1) at grid-cell western edge |
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C tracer :: tracer field |
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C myThid :: my thread Id number |
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jmc |
1.1 |
INTEGER bi,bj,k |
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jmc |
1.6 |
_RL uTrans (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS maskLocW(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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adcroft |
1.3 |
INTEGER myThid |
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C !OUTPUT PARAMETERS: ================================================== |
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jmc |
1.6 |
C uT :: zonal advective flux |
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_RL uT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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jmc |
1.1 |
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adcroft |
1.3 |
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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jmc |
1.1 |
INTEGER i,j |
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_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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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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mlosch |
1.5 |
ENDDO |
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DO j=1-Oly,sNy+Oly |
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jmc |
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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jmc |
1.4 |
Rjjp=Rjp-Rj |
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Rjjm=Rj-Rjm |
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jmc |
1.6 |
uT(i,j) = |
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jmc |
1.1 |
& 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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RETURN |
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END |
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