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C $Header: /u/gcmpack/models/MITgcmUV/pkg/generic_advdiff/gad_fluxlimit_adv_r.F,v 1.5 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_R |
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|
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C !INTERFACE: ========================================================== |
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SUBROUTINE GAD_FLUXLIMIT_ADV_R( |
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I bi_arg,bj_arg,k,dTarg, |
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I rTrans, wVel, |
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I tracer, |
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O wT, |
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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 vertical 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^x_{adv} = W \overline{ \theta }^k |
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C - \frac{1}{2} \left( |
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C [ 1 - \psi(C_r) ] |W| |
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C + W \frac{w \Delta t}{\Delta r_c} \psi(C_r) |
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C \right) \delta_k \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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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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|
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C !INPUT PARAMETERS: =================================================== |
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C bi_arg,bj_arg :: tile indices |
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C k :: vertical level |
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C rTrans :: vertical volume transport |
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C wVel :: vertical flow |
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C tracer :: tracer field |
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C myThid :: thread number |
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INTEGER bi_arg,bj_arg,k |
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_RL dTarg |
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_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL wVel (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,Nr,nSx,nSy) |
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INTEGER myThid |
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|
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C !OUTPUT PARAMETERS: ================================================== |
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C wT :: vertical advective flux |
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_RL wT (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 kp1 :: =min( k+1 , Nr ) |
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C km1 :: =max( k-1 , 1 ) |
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C km2 :: =max( k-2 , 1 ) |
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C bi,bj :: tile indices or (1,1) depending on use |
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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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INTEGER i,j,kp1,km1,km2,bi,bj |
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_RL Cr,Rjm,Rj,Rjp |
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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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IF (.NOT. multiDimAdvection) THEN |
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C If using the standard time-stepping/advection schemes (ie. AB-II) |
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C then the data-structures are all global arrays |
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bi=bi_arg |
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bj=bj_arg |
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ELSE |
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C otherwise if using the multi-dimensional advection schemes |
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C then the data-structures are all local arrays except |
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C for maskC(...) and wVel(...) |
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bi=1 |
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bj=1 |
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ENDIF |
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|
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km2=MAX(1,k-2) |
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km1=MAX(1,k-1) |
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kp1=MIN(Nr,k+1) |
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|
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IF ( k.GT.Nr) THEN |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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wT(i,j) = 0. |
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ENDDO |
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ENDDO |
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ELSE |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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Rjp=(tracer(i,j,kp1,bi,bj)-tracer(i,j,k,bi,bj)) |
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& *maskC(i,j,kp1,bi_arg,bj_arg) |
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Rj=(tracer(i,j,k,bi,bj)-tracer(i,j,kM1,bi,bj)) |
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Rjm=(tracer(i,j,km1,bi,bj)-tracer(i,j,kM2,bi,bj)) |
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& *maskC(i,j,km2,bi_arg,bj_arg) |
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IF (Rj.NE.0.) THEN |
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IF (rTrans(i,j).LT.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 (rTrans(i,j).LT.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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wT(i,j) = maskC(i,j,kM1,bi_arg,bj_arg)*( |
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& rTrans(i,j)* |
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& (Tracer(i,j,k,bi,bj)+Tracer(i,j,kM1,bi,bj))*0.5 _d 0 |
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& +(ABS(rTrans(i,j))*(1-Cr) |
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& +rTrans(i,j)*wVel(i,j,k,bi_arg,bj_arg)*dTarg*recip_drC(k) |
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& *Cr |
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& )*Rj*0.5 _d 0 ) |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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RETURN |
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END |
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