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C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_fluxlimit_impl_r.F,v 1.2 2004/03/24 15:20:35 adcroft Exp $ |
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jmc |
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C $Name: $ |
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#include "GAD_OPTIONS.h" |
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CBOP |
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C !ROUTINE: GAD_FLUXLIMIT_IMPL_R |
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C !INTERFACE: |
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SUBROUTINE GAD_FLUXLIMIT_IMPL_R( |
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I bi,bj,k, iMin,iMax,jMin,jMax, |
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I deltaTarg, rTrans, tFld, |
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O a3d, b3d, c3d, |
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I myThid ) |
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C !DESCRIPTION: |
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C Compute matrix element to solve vertical advection implicitly |
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C using flux--limiter advection scheme. The contribution of |
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C vertical transport at interface k is added to matrix lines k and |
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C k-1. |
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C !USES: |
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IMPLICIT NONE |
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C == Global variables === |
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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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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine Arguments == |
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C bi,bj :: tile indices |
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C k :: vertical level |
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C iMin,iMax :: computation domain |
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C jMin,jMax :: computation domain |
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C deltaTarg :: time step |
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C rTrans :: vertical volume transport |
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C tFld :: tracer field |
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C a3d :: lower diagonal of the tridiagonal matrix |
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C b3d :: main diagonal of the tridiagonal matrix |
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C c3d :: upper diagonal of the tridiagonal matrix |
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C myThid :: thread number |
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INTEGER bi,bj,k |
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INTEGER iMin,iMax,jMin,jMax |
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_RL deltaTarg |
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_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL a3d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL b3d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL c3d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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INTEGER myThid |
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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 Cr :: slope ratio |
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C Rjm,Rj,Rjp :: differences at i-1,i,i+1 |
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C w_CFL :: Courant-Friedrich-Levy number |
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C upwindFac :: upwind factor |
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C rCenter :: centered contribution |
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C rUpwind :: upwind contribution |
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INTEGER i,j,kp1,km1,km2 |
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_RL Cr,Rjm,Rj,Rjp, w_CFL |
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_RL upwindFac(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rCenter, rUpwind |
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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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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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IF ( k.GT.Nr .OR. k.LT.2 ) RETURN |
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C-- Compute the upwind fraction: |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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w_CFL = rTrans(i,j)*recip_rA(i,j,bi,bj)*deltaTarg*recip_drC(k) |
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Rjp=(tFld(i,j,kp1)-tFld(i,j,k) )*maskC(i,j,kp1,bi,bj) |
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Rj =(tFld(i,j,k) -tFld(i,j,km1)) |
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Rjm=(tFld(i,j,km1)-tFld(i,j,km2))*maskC(i,j,km2,bi,bj) |
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IF ( Rj.NE.0. _d 0) THEN |
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IF (rTrans(i,j).LT.0. _d 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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upwindFac(i,j) = 1. _d 0 |
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& - Limiter(Cr) * ( 1. _d 0 + abs(w_CFL) ) |
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upwindFac(i,j) = max( -1. _d 0, upwindFac(i,j) ) |
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ELSE |
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upwindFac(i,j) = 0. _d 0 |
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ENDIF |
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ENDDO |
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ENDDO |
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C-- Add centered & upwind contributions |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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rCenter = 0.5 _d 0 *deltaTtracer*rTrans(i,j) |
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& *recip_rA(i,j,bi,bj)*rkFac |
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rUpwind = abs(rCenter)*upwindFac(i,j) |
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a3d(i,j,k) = a3d(i,j,k) |
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& + (rCenter-rUpwind) |
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& *recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
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b3d(i,j,k) = b3d(i,j,k) |
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& + (rCenter+rUpwind) |
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& *recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
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b3d(i,j,k-1) = b3d(i,j,k-1) |
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& - (rCenter-rUpwind) |
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& *recip_hFacC(i,j,k-1,bi,bj)*recip_drF(k-1) |
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c3d(i,j,k-1) = c3d(i,j,k-1) |
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& - (rCenter+rUpwind) |
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& *recip_hFacC(i,j,k-1,bi,bj)*recip_drF(k-1) |
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ENDDO |
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ENDDO |
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RETURN |
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END |
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