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jmc |
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C $Header: /u/gcmpack/MITgcm/pkg/mom_common/mom_v_implicit_r.F,v 1.1 2005/06/21 13:46:15 jmc Exp $ |
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jmc |
1.1 |
C $Name: $ |
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#include "MOM_COMMON_OPTIONS.h" |
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CBOP |
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C !ROUTINE: MOM_V_IMPLICIT_R |
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C !INTERFACE: |
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SUBROUTINE MOM_V_IMPLICIT_R( |
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I kappaRV, |
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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 MOM_V_IMPLICIT_R |
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C | o Solve implicitly vertical advection & diffusion |
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C | of momentum, meridional component |
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C *==========================================================* |
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C *==========================================================* |
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C \ev |
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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 "DYNVARS.h" |
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine Arguments == |
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_RL kappaRV(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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INTEGER bi, bj |
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_RL myTime |
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INTEGER myIter, myThid |
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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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c _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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c _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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jmc |
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_RL rCenter, rUpwind, upwindFac |
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jmc |
1.1 |
CEOP |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C Solve for V-component : |
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C---------------------------- |
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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+1 |
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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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c 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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c 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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IF ( implicitViscosity .AND. Nr.GT.1 ) THEN |
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C-- set the tri-diagonal matrix to solve the implicit viscosity |
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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 (maskS(i,j,k-1,bi,bj).EQ.1.) |
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& b5d(i,j,k) = -deltaTmom |
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& *recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
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& *kappaRV(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 (maskS(i,j,k+1,bi,bj).EQ.1.) |
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& d5d(i,j,k) = -deltaTmom |
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& *recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
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& *KappaRV(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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C-- end if implicitDiffusion |
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ENDIF |
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IF ( momImplVertAdv .AND. Nr.GT.1 ) THEN |
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diagonalNumber = 3 |
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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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rTrans(i,j) = 0.5 _d 0 * ( |
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& 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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& + wVel(i,j-1,k,bi,bj)*rA(i,j-1,bi,bj) |
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& *maskC(i,j-1,k-1,bi,bj) |
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& ) |
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ENDDO |
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ENDDO |
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IF ( vectorInvariantMomentum ) THEN |
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jmc |
1.2 |
C- space Centered/Upwind advection scheme, Advective form: |
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IF ( upwindShear ) THEN |
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upwindFac = 1. _d 0 |
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ELSE |
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upwindFac = 0. _d 0 |
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ENDIF |
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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 *deltaTmom*rTrans(i,j) |
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& *recip_rAs(i,j,bi,bj)*rkSign |
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rUpwind = ABS(rCenter)*upwindFac |
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b5d(i,j,k) = b5d(i,j,k) |
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& - (rCenter+rUpwind) |
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& *recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
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c5d(i,j,k) = c5d(i,j,k) |
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& + (rCenter+rUpwind) |
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& *recip_hFacS(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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& - (rCenter-rUpwind) |
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& *recip_hFacS(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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& + (rCenter-rUpwind) |
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& *recip_hFacS(i,j,k-1,bi,bj)*recip_drF(k-1) |
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jmc |
1.1 |
ENDDO |
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ENDDO |
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ELSE |
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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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rCenter = 0.5 _d 0 *deltaTmom*rTrans(i,j) |
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& *recip_rAs(i,j,bi,bj)*rkSign |
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b5d(i,j,k) = b5d(i,j,k) |
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& - rCenter*recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
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c5d(i,j,k) = c5d(i,j,k) |
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& - rCenter*recip_hFacS(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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& + rCenter*recip_hFacS(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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& + rCenter*recip_hFacS(i,j,k-1,bi,bj)*recip_drF(k-1) |
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ENDDO |
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ENDDO |
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STOP 'MOM_IMPLICIT_R: Flux Form not yet finished.' |
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ENDIF |
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C-- end k loop |
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ENDDO |
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C-- end if momImplVertAdv |
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ENDIF |
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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 gV, |
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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 'MOM_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 'MOM_IMPLICIT_R: no solver available.' |
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ENDIF |
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RETURN |
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END |
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