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C $Header: $ |
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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_IMPLICIT_R |
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C !INTERFACE: |
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SUBROUTINE GAD_IMPLICIT_R( |
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I implicitAdvection, advectionScheme, tracerIdentity, |
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I kappaRX, wVel, tracer, |
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U gTracer, |
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I bi, bj, myTime, myIter, myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | S/R GAD_IMPLICIT_R |
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C | o Solve implicitly vertical advection & diffusion |
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C | for one tracer |
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C *==========================================================* |
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C *==========================================================* |
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C \ev |
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|
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C !USES: |
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IMPLICIT NONE |
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C == Global data == |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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#include "GAD.h" |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine Arguments == |
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LOGICAL implicitAdvection |
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INTEGER advectionScheme |
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INTEGER tracerIdentity |
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_RL kappaRX(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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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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_RL gTracer(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr,nSx,nSy) |
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INTEGER bi, bj |
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_RL myTime |
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INTEGER myIter, myThid |
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|
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C !LOCAL VARIABLES: |
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C == Local variables == |
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INTEGER iMin,iMax,jMin,jMax |
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INTEGER i,j,k |
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INTEGER diagonalNumber, errCode |
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_RL a5d(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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_RL b5d(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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_RL c5d(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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_RL d5d(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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_RL e5d(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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_RL rTrans(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL rFlx |
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CEOP |
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|
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IF (Nr.LE.1) RETURN |
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|
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C-- Initialise |
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iMin = 1 |
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jMin = 1 |
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iMax = sNx |
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jMax = sNy |
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DO k=1,Nr |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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a5d(i,j,k) = 0. _d 0 |
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b5d(i,j,k) = 0. _d 0 |
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c5d(i,j,k) = 1. _d 0 |
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d5d(i,j,k) = 0. _d 0 |
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e5d(i,j,k) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ENDDO |
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diagonalNumber = 1 |
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|
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IF (implicitDiffusion) THEN |
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C-- set the tri-diagonal matrix to solve the implicit diffusion problem |
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diagonalNumber = 3 |
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C- 1rst lower diagonal : |
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DO k=2,Nr |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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IF (maskC(i,j,k-1,bi,bj).EQ.1.) |
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& b5d(i,j,k) = -deltaTtracer |
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& *recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
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& *kappaRX(i,j, k )*recip_drC( k ) |
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ENDDO |
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ENDDO |
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ENDDO |
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C- 1rst upper diagonal : |
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DO k=1,Nr-1 |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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IF (maskC(i,j,k+1,bi,bj).EQ.1.) |
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& d5d(i,j,k) = -deltaTtracer |
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& *recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
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& *KappaRX(i,j,k+1)*recip_drC(k+1) |
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ENDDO |
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ENDDO |
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ENDDO |
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C- Main diagonal : |
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DO k=1,Nr |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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c5d(i,j,k) = 1. _d 0 - b5d(i,j,k) - d5d(i,j,k) |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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C-- end if implicitDiffusion |
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ENDIF |
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|
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IF (implicitAdvection) THEN |
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|
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IF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
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diagonalNumber = 3 |
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C note: a) this should go into a separated gad_ S/R |
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DO k=2,Nr |
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|
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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rTrans(i,j) = wVel(i,j,k,bi,bj)*rA(i,j,bi,bj) |
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& *maskC(i,j,k-1,bi,bj) |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_GMREDI |
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C-- Residual transp = Bolus transp + Eulerian transp |
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IF (useGMRedi) |
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& CALL GMREDI_CALC_WFLOW( |
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& rTrans, bi, bj, k, myThid) |
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#endif /* ALLOW_GMREDI */ |
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|
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C- space Centered advection scheme, Flux form: |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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rFlx = 0.5 _d 0 *deltaTtracer*rTrans(i,j) |
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& *recip_rA(i,j,bi,bj)*rkFac |
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b5d(i,j,k) = b5d(i,j,k) |
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& + rFlx*recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
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c5d(i,j,k) = c5d(i,j,k) |
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& + rFlx*recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
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c5d(i,j,k-1) = c5d(i,j,k-1) |
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& - rFlx*recip_hFacC(i,j,k-1,bi,bj)*recip_drF(k-1) |
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d5d(i,j,k-1) = d5d(i,j,k-1) |
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& - rFlx*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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|
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C-- end k loop |
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ENDDO |
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ELSE |
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STOP 'GAD_IMPLICIT_R: Adv.Scheme in Impl form not yet coded' |
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ENDIF |
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|
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C-- end if implicitAdvection |
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ENDIF |
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|
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IF ( diagonalNumber .EQ. 3 ) THEN |
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C-- Solve tri-diagonal system : |
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CALL SOLVE_TRIDIAGONAL( iMin,iMax, jMin,jMax, |
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I b5d, c5d, d5d, |
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U gTracer, |
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O errCode, |
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I bi, bj, myThid ) |
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IF (errCode.GE.1) THEN |
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STOP 'GAD_IMPLICIT_R: error when solving 3-Diag problem' |
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ENDIF |
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ELSEIF ( diagonalNumber .NE. 1 ) THEN |
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STOP 'GAD_IMPLICIT_R: no solver available' |
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ENDIF |
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|
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RETURN |
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END |
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