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C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_dst2u1_impl_r.F,v 1.3 2011/12/01 14:14:44 jmc Exp $ |
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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_DST2U1_IMPL_R |
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C !INTERFACE: |
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SUBROUTINE GAD_DST2U1_IMPL_R( |
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I bi,bj,k, iMin,iMax,jMin,jMax, |
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I advectionScheme, deltaTarg, rTrans, recip_hFac, |
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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 DST 2nd.Order (=Lax-Wendroff) or 1rst Order Upwind scheme. |
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C Method: |
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C contribution of vertical transport at interface k is added |
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C to matrix lines k and 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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1.4 |
#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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1.1 |
#include "GAD.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 advectionScheme :: advection scheme to use: either 2nd Order DST |
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C or 1rst Order Upwind |
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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 recip_hFac :: inverse of cell open-depth factor |
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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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INTEGER advectionScheme |
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_RL deltaTarg(Nr) |
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_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS recip_hFac(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 w_CFL :: Courant-Friedrich-Levy number |
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C rLimit :: centered (vs upwind) fraction |
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C rCenter :: centered contribution |
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C rUpwind :: upwind contribution |
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INTEGER i,j |
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c _RL w_CFL |
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_RL rLimit |
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_RL rCenter, rUpwind |
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_RL deltaTcfl |
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CEOP |
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rLimit = 0. _d 0 |
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IF ( advectionScheme.EQ.ENUM_DST2 ) rLimit = 1. _d 0 |
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C-- process interior interface only: |
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IF ( k.GT.1 .AND. k.LE.Nr ) THEN |
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C-- Add centered & upwind contributions |
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deltaTcfl = deltaTarg(k) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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c w_CFL = deltaTcfl*ABS(rTrans(i,j)) |
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c & *recip_rA(i,j,bi,bj)*recip_drC(k) |
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c & *recip_deepFac2F(k)*recip_rhoFacF(k) |
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rCenter = 0.5 _d 0 *rTrans(i,j)*recip_rA(i,j,bi,bj)*rkSign |
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rUpwind = ABS(rCenter) |
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& * ( 1. _d 0 - rLimit ) |
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c & * ( 1. _d 0 - rLimit*( 1. _d 0 + w_CFL ) ) |
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a3d(i,j,k) = a3d(i,j,k) |
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& - (rCenter+rUpwind)*deltaTarg(k) |
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& *recip_hFac(i,j,k)*recip_drF(k) |
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& *recip_deepFac2C(k)*recip_rhoFacC(k) |
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b3d(i,j,k) = b3d(i,j,k) |
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& - (rCenter-rUpwind)*deltaTarg(k) |
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& *recip_hFac(i,j,k)*recip_drF(k) |
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& *recip_deepFac2C(k)*recip_rhoFacC(k) |
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b3d(i,j,k-1) = b3d(i,j,k-1) |
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& + (rCenter+rUpwind)*deltaTarg(k-1) |
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& *recip_hFac(i,j,k-1)*recip_drF(k-1) |
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& *recip_deepFac2C(k-1)*recip_rhoFacC(k-1) |
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c3d(i,j,k-1) = c3d(i,j,k-1) |
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& + (rCenter-rUpwind)*deltaTarg(k-1) |
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& *recip_hFac(i,j,k-1)*recip_drF(k-1) |
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& *recip_deepFac2C(k-1)*recip_rhoFacC(k-1) |
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ENDDO |
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ENDDO |
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C-- process interior interface only: end |
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ENDIF |
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RETURN |
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END |
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