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jmc |
1.8 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_fluxlimit_adv_x.F,v 1.7 2006/06/07 01:55:14 heimbach Exp $ |
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jmc |
1.2 |
C $Name: $ |
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adcroft |
1.1 |
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#include "GAD_OPTIONS.h" |
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adcroft |
1.3 |
CBOP |
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C !ROUTINE: GAD_FLUXLIMIT_ADV_X |
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C !INTERFACE: ========================================================== |
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jmc |
1.8 |
SUBROUTINE GAD_FLUXLIMIT_ADV_X( |
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heimbach |
1.6 |
I bi,bj,k,deltaTloc, |
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jmc |
1.8 |
I uTrans, uFld, |
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jmc |
1.5 |
I maskLocW, tracer, |
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adcroft |
1.1 |
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 second-order interpolation with a flux limiter: |
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C \begin{equation*} |
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jmc |
1.8 |
C F^x_{adv} = U \overline{ \theta }^i |
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adcroft |
1.3 |
C - \frac{1}{2} \left( |
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C [ 1 - \psi(C_r) ] |U| |
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C + U \frac{u \Delta t}{\Delta x_c} \psi(C_r) |
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C \right) \delta_i \theta |
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C \end{equation*} |
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C where the $\psi(C_r)$ is the limiter function and $C_r$ is |
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C the slope ratio. |
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C !USES: =============================================================== |
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adcroft |
1.1 |
IMPLICIT NONE |
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#include "SIZE.h" |
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#include "GRID.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 uTrans :: zonal volume transport |
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jmc |
1.8 |
C uFld :: zonal flow |
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adcroft |
1.3 |
C tracer :: tracer field |
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C myThid :: thread number |
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adcroft |
1.1 |
INTEGER bi,bj,k |
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heimbach |
1.6 |
_RL deltaTloc |
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adcroft |
1.1 |
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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jmc |
1.8 |
_RL uFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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jmc |
1.5 |
_RS maskLocW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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adcroft |
1.1 |
_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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C uT :: zonal advective flux |
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adcroft |
1.1 |
_RL uT (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 Cr :: slope ratio |
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C Rjm,Rj,Rjp :: differences at i-1,i,i+1 |
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jmc |
1.8 |
C uLoc :: velocity [m/s], zonal component |
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adcroft |
1.1 |
INTEGER i,j |
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_RL Cr,Rjm,Rj,Rjp |
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jmc |
1.8 |
_RL uLoc |
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adcroft |
1.3 |
C Statement function provides Limiter(Cr) |
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adcroft |
1.1 |
#include "GAD_FLUX_LIMITER.h" |
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adcroft |
1.3 |
CEOP |
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adcroft |
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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jmc |
1.2 |
uT(2-Olx,j)=0. |
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uT(sNx+Olx,j)=0. |
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DO i=1-Olx+2,sNx+Olx-1 |
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jmc |
1.4 |
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jmc |
1.8 |
c uLoc = uFld(i,j) |
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uLoc = uTrans(i,j)*recip_dyG(i,j,bi,bj) |
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heimbach |
1.7 |
& *recip_drF(k)*_recip_hFacW(i,j,k,bi,bj) |
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jmc |
1.5 |
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 |
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adcroft |
1.1 |
IF (Rj.NE.0.) THEN |
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IF (uTrans(i,j).GT.0) THEN |
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Cr=Rjm/Rj |
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ELSE |
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Cr=Rjp/Rj |
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ENDIF |
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ELSE |
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IF (uTrans(i,j).GT.0) THEN |
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Cr=Rjm*1.E20 |
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ELSE |
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Cr=Rjp*1.E20 |
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ENDIF |
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ENDIF |
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Cr=Limiter(Cr) |
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jmc |
1.8 |
uT(i,j) = |
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adcroft |
1.1 |
& uTrans(i,j)*(Tracer(i,j)+Tracer(i-1,j))*0.5 _d 0 |
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& -0.5*( |
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& (1-Cr)*ABS(uTrans(i,j)) |
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jmc |
1.8 |
& +uTrans(i,j)*uLoc*deltaTloc |
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adcroft |
1.1 |
& *recip_dxC(i,j,bi,bj)*Cr |
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& )*Rj |
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ENDDO |
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ENDDO |
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RETURN |
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END |
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