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C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_implicit_r.F,v 1.6 2004/12/04 00:22:25 jmc 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_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: |
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C Solve implicitly vertical advection and diffusion for one tracer. |
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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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C implicitAdvection :: if True, treat vertical advection implicitly |
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C advectionScheme :: advection scheme to use |
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C tracerIdentity :: Identifier for the tracer |
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C kappaRX :: 3-D array for vertical diffusion coefficient |
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C wVel :: vertical component of the velcity field |
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C tracer :: tracer field at current time step |
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C gTracer :: future tracer field |
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C bi,bj :: tile indices |
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C myTime :: current time |
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C myIter :: current iteration number |
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C myThid :: thread number |
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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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C iMin,iMax,jMin,jMax :: computational domain |
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C i,j,k :: loop indices |
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C a5d :: 2nd lower diagonal of the pentadiagonal matrix |
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C b5d :: 1rst lower diagonal of the pentadiagonal matrix |
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C c5d :: main diagonal of the pentadiagonal matrix |
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C d5d :: 1rst upper diagonal of the pentadiagonal matrix |
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C e5d :: 2nd upper diagonal of the pentadiagonal matrix |
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C rTrans :: vertical volume transport at inteface k |
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C rTransKp1 :: vertical volume transport at inteface k+1 |
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C localTijk :: local copy of tracer (for Non-Lin Adv.Scheme) |
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C diagonalNumber :: number of non-zero diagonals in the matrix |
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C errCode :: > 0 if singular matrix |
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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 rTransKp1(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL localTijk(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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CEOP |
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|
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C-- no need to solve anything with only 1 level: |
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IF (Nr.GT.1) THEN |
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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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C-- Non-Linear Advection scheme: keep a local copy of tracer field |
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IF ( advectionScheme.EQ.ENUM_FLUX_LIMIT .OR. |
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& advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
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IF ( multiDimAdvection ) THEN |
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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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localTijk(i,j,k) = gTracer(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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ELSE |
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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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localTijk(i,j,k) = tracer(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDIF |
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ENDIF |
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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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b5d(i,j,k) = -dTtracerLev(k)*maskC(i,j,k-1,bi,bj) |
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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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d5d(i,j,k) = -dTtracerLev(k)*maskC(i,j,k+1,bi,bj) |
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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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DO k=Nr,1,-1 |
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|
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C-- Compute transport |
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IF (k.EQ.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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rTransKp1(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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rTransKp1(i,j) = rTrans(i,j) |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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IF (k.EQ.1) 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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rTrans(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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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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ENDIF |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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c localTijk(i,j,k) = gTracer(i,j,k,bi,bj) |
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gTracer(i,j,k,bi,bj) = gTracer(i,j,k,bi,bj) |
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& + dTtracerLev(1)*recip_rA(i,j,bi,bj) |
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& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
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& *tracer(i,j,k,bi,bj)*(rTrans(i,j)-rTransKp1(i,j))*rkFac |
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_AIM |
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C- a hack to prevent Water-Vapor vert.transport into the stratospheric level Nr |
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IF ( K.GE.2 .AND. |
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& (.NOT.useAIM .OR.tracerIdentity.NE.GAD_SALINITY .OR.K.LT.Nr) |
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& ) THEN |
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#else |
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IF ( K.GE.2 ) THEN |
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#endif |
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|
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IF ( advectionScheme.EQ.ENUM_CENTERED_2ND ) THEN |
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diagonalNumber = 3 |
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CALL GAD_C2_IMPL_R( bi,bj,k, iMin,iMax,jMin,jMax, |
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I dTtracerLev, rTrans, |
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U b5d, c5d, d5d, |
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I myThid) |
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ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
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diagonalNumber = 3 |
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CALL GAD_FLUXLIMIT_IMPL_R( bi,bj,k, iMin,iMax,jMin,jMax, |
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I dTtracerLev, rTrans, localTijk, |
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U b5d, c5d, d5d, |
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I myThid) |
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ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD .OR. |
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& advectionScheme.EQ.ENUM_CENTERED_4TH) THEN |
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diagonalNumber = 5 |
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CALL GAD_U3C4_IMPL_R( bi,bj,k, iMin,iMax,jMin,jMax, |
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I advectionScheme, dTtracerLev, rTrans, |
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U a5d, b5d, c5d, d5d, e5d, |
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I myThid) |
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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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ENDIF |
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|
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C-- end k loop |
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ENDDO |
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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 .EQ. 5 ) THEN |
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C-- Solve penta-diagonal system : |
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CALL SOLVE_PENTADIAGONAL( iMin,iMax, jMin,jMax, |
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I a5d, b5d, c5d, d5d, e5d, |
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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 5-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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C-- end if Nr > 1 |
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ENDIF |
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|
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RETURN |
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END |
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