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C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_fluxlimit_adv_y.F,v 1.3 2001/09/21 13:11:43 adcroft 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_FLUXLIMIT_ADV_Y |
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|
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C !INTERFACE: ========================================================== |
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SUBROUTINE GAD_FLUXLIMIT_ADV_Y( |
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I bi,bj,k,deltaT, |
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I vTrans, vVel, |
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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 second-order interpolation with a flux limiter: |
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C \begin{equation*} |
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C F^y_{adv} = V \overline{ \theta }^j |
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C - \frac{1}{2} \left( |
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C [ 1 - \psi(C_r) ] |V| |
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C + V \frac{v \Delta t}{\Delta y_c} \psi(C_r) |
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C \right) \delta_j \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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|
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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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|
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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 vVel :: meridional flow |
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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 deltaT |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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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 Cr :: slope ratio |
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C Rjm,Rj,Rjp :: differences at j-1,j,j+1 |
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C vFld :: velocity [m/s], meridional component |
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INTEGER i,j |
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_RL Cr,Rjm,Rj,Rjp |
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_RL vFld |
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C Statement function provides Limiter(Cr) |
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#include "GAD_FLUX_LIMITER.h" |
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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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|
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c vFld = vVel(i,j,k,bi,bj) |
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vFld = vTrans(i,j)*recip_dxG(i,j,bi,bj) |
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& *recip_drF(k)*recip_hFacS(i,j,k,bi,bj) |
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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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|
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IF (Rj.NE.0.) THEN |
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IF (vTrans(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 (vTrans(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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vT(i,j) = |
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& vTrans(i,j)*(Tracer(i,j)+Tracer(i,j-1))*0.5 _d 0 |
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& -0.5*( |
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& (1-Cr)*ABS(vTrans(i,j)) |
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& +vTrans(i,j)*vFld*deltaT |
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& *recip_dyC(i,j,bi,bj)*Cr |
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& )*Rj |
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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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