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jahn |
1.14 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_implicit_r.F,v 1.13 2006/06/18 23:27:44 jmc Exp $ |
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jmc |
1.1 |
C $Name: $ |
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#include "GAD_OPTIONS.h" |
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CBOP |
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C !ROUTINE: GAD_IMPLICIT_R |
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C !INTERFACE: |
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jmc |
1.13 |
SUBROUTINE GAD_IMPLICIT_R( |
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jmc |
1.1 |
I implicitAdvection, advectionScheme, tracerIdentity, |
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jahn |
1.14 |
I deltaTLev, |
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jmc |
1.13 |
I kappaRX, wVel, tracer, |
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jmc |
1.1 |
U gTracer, |
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I bi, bj, myTime, myIter, myThid ) |
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edhill |
1.4 |
C !DESCRIPTION: |
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C Solve implicitly vertical advection and diffusion for one tracer. |
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jmc |
1.1 |
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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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edhill |
1.4 |
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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jmc |
1.1 |
LOGICAL implicitAdvection |
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INTEGER advectionScheme |
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INTEGER tracerIdentity |
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jahn |
1.14 |
_RL deltaTLev(Nr) |
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jmc |
1.1 |
_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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edhill |
1.4 |
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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jmc |
1.1 |
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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jmc |
1.13 |
_RL wFld (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL rTrans (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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jmc |
1.2 |
_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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jmc |
1.8 |
#ifdef ALLOW_DIAGNOSTICS |
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CHARACTER*8 diagName |
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CHARACTER*4 GAD_DIAG_SUFX, diagSufx |
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EXTERNAL GAD_DIAG_SUFX |
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LOGICAL DIAGNOSTICS_IS_ON |
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EXTERNAL DIAGNOSTICS_IS_ON |
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_RL df (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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#endif |
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jmc |
1.1 |
CEOP |
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jmc |
1.7 |
C-- no need to solve anything with only 1 level: |
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IF (Nr.GT.1) THEN |
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jmc |
1.1 |
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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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jmc |
1.2 |
C-- Non-Linear Advection scheme: keep a local copy of tracer field |
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jmc |
1.13 |
IF ( advectionScheme.EQ.ENUM_FLUX_LIMIT .OR. |
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jmc |
1.2 |
& 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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jmc |
1.1 |
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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jahn |
1.14 |
b5d(i,j,k) = -deltaTLev(k)*maskC(i,j,k-1,bi,bj) |
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heimbach |
1.12 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
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jmc |
1.1 |
& *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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jahn |
1.14 |
d5d(i,j,k) = -deltaTLev(k)*maskC(i,j,k+1,bi,bj) |
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heimbach |
1.12 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
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jmc |
1.1 |
& *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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C-- end if implicitDiffusion |
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ENDIF |
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IF (implicitAdvection) THEN |
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jmc |
1.2 |
DO k=Nr,1,-1 |
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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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jmc |
1.1 |
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jmc |
1.2 |
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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jmc |
1.13 |
wFld(i,j) = 0. _d 0 |
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rTrans(i,j) = 0. _d 0 |
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jmc |
1.2 |
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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jmc |
1.13 |
wFld(i,j) = wVel(i,j,k,bi,bj) |
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rTrans(i,j) = wFld(i,j)*rA(i,j,bi,bj)*maskC(i,j,k-1,bi,bj) |
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jmc |
1.1 |
ENDDO |
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jmc |
1.2 |
ENDDO |
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jmc |
1.1 |
#ifdef ALLOW_GMREDI |
| 200 |
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C-- Residual transp = Bolus transp + Eulerian transp |
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jmc |
1.13 |
IF (useGMRedi) |
| 202 |
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& CALL GMREDI_CALC_WFLOW( |
| 203 |
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U wFld, rTrans, |
| 204 |
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I k, bi, bj, myThid ) |
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jmc |
1.1 |
#endif /* ALLOW_GMREDI */ |
| 206 |
jmc |
1.2 |
ENDIF |
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DO j=jMin,jMax |
| 208 |
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DO i=iMin,iMax |
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jmc |
1.13 |
c localTijk(i,j,k) = gTracer(i,j,k,bi,bj) |
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jmc |
1.2 |
gTracer(i,j,k,bi,bj) = gTracer(i,j,k,bi,bj) |
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jahn |
1.14 |
& + deltaTLev(1)*recip_rA(i,j,bi,bj) |
| 212 |
jmc |
1.2 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
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jmc |
1.10 |
& *tracer(i,j,k,bi,bj)*(rTransKp1(i,j)-rTrans(i,j))*rkSign |
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jmc |
1.2 |
ENDDO |
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ENDDO |
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jmc |
1.5 |
#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. |
| 220 |
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& (.NOT.useAIM .OR.tracerIdentity.NE.GAD_SALINITY .OR.K.LT.Nr) |
| 221 |
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& ) THEN |
| 222 |
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#else |
| 223 |
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IF ( K.GE.2 ) THEN |
| 224 |
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#endif |
| 225 |
jmc |
1.1 |
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| 226 |
jmc |
1.2 |
IF ( advectionScheme.EQ.ENUM_CENTERED_2ND ) THEN |
| 227 |
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diagonalNumber = 3 |
| 228 |
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CALL GAD_C2_IMPL_R( bi,bj,k, iMin,iMax,jMin,jMax, |
| 229 |
jahn |
1.14 |
I deltaTLev, rTrans, |
| 230 |
jmc |
1.2 |
U b5d, c5d, d5d, |
| 231 |
jmc |
1.11 |
I myThid ) |
| 232 |
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ELSEIF ( advectionScheme.EQ.ENUM_UPWIND_1RST |
| 233 |
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& .OR. advectionScheme.EQ.ENUM_DST2 ) THEN |
| 234 |
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diagonalNumber = 3 |
| 235 |
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CALL GAD_DST2U1_IMPL_R( bi,bj,k, iMin,iMax,jMin,jMax, |
| 236 |
jahn |
1.14 |
I advectionScheme, deltaTLev, rTrans, |
| 237 |
jmc |
1.11 |
U b5d, c5d, d5d, |
| 238 |
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I myThid ) |
| 239 |
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ELSEIF ( advectionScheme.EQ.ENUM_FLUX_LIMIT ) THEN |
| 240 |
jmc |
1.2 |
diagonalNumber = 3 |
| 241 |
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CALL GAD_FLUXLIMIT_IMPL_R( bi,bj,k, iMin,iMax,jMin,jMax, |
| 242 |
jahn |
1.14 |
I deltaTLev, rTrans, localTijk, |
| 243 |
jmc |
1.2 |
U b5d, c5d, d5d, |
| 244 |
jmc |
1.11 |
I myThid ) |
| 245 |
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ELSEIF ( advectionScheme.EQ.ENUM_UPWIND_3RD |
| 246 |
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& .OR. advectionScheme.EQ.ENUM_CENTERED_4TH |
| 247 |
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& .OR. advectionScheme.EQ.ENUM_DST3 ) THEN |
| 248 |
jmc |
1.2 |
diagonalNumber = 5 |
| 249 |
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CALL GAD_U3C4_IMPL_R( bi,bj,k, iMin,iMax,jMin,jMax, |
| 250 |
jahn |
1.14 |
I advectionScheme, deltaTLev, rTrans, |
| 251 |
jmc |
1.2 |
U a5d, b5d, c5d, d5d, e5d, |
| 252 |
jmc |
1.11 |
I myThid ) |
| 253 |
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ELSEIF ( advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
| 254 |
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diagonalNumber = 5 |
| 255 |
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CALL GAD_DST3FL_IMPL_R( bi,bj,k, iMin,iMax,jMin,jMax, |
| 256 |
jahn |
1.14 |
I deltaTLev, rTrans, localTijk, |
| 257 |
jmc |
1.11 |
U a5d, b5d, c5d, d5d, e5d, |
| 258 |
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I myThid ) |
| 259 |
jmc |
1.2 |
ELSE |
| 260 |
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STOP 'GAD_IMPLICIT_R: Adv.Scheme in Impl form not yet coded' |
| 261 |
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ENDIF |
| 262 |
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| 263 |
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ENDIF |
| 264 |
jmc |
1.1 |
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| 265 |
jmc |
1.2 |
C-- end k loop |
| 266 |
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ENDDO |
| 267 |
jmc |
1.1 |
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| 268 |
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C-- end if implicitAdvection |
| 269 |
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ENDIF |
| 270 |
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| 271 |
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IF ( diagonalNumber .EQ. 3 ) THEN |
| 272 |
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C-- Solve tri-diagonal system : |
| 273 |
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CALL SOLVE_TRIDIAGONAL( iMin,iMax, jMin,jMax, |
| 274 |
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I b5d, c5d, d5d, |
| 275 |
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U gTracer, |
| 276 |
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O errCode, |
| 277 |
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I bi, bj, myThid ) |
| 278 |
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IF (errCode.GE.1) THEN |
| 279 |
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STOP 'GAD_IMPLICIT_R: error when solving 3-Diag problem' |
| 280 |
jmc |
1.2 |
ENDIF |
| 281 |
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ELSEIF ( diagonalNumber .EQ. 5 ) THEN |
| 282 |
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C-- Solve penta-diagonal system : |
| 283 |
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CALL SOLVE_PENTADIAGONAL( iMin,iMax, jMin,jMax, |
| 284 |
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I a5d, b5d, c5d, d5d, e5d, |
| 285 |
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U gTracer, |
| 286 |
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O errCode, |
| 287 |
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I bi, bj, myThid ) |
| 288 |
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IF (errCode.GE.1) THEN |
| 289 |
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STOP 'GAD_IMPLICIT_R: error when solving 5-Diag problem' |
| 290 |
jmc |
1.1 |
ENDIF |
| 291 |
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ELSEIF ( diagonalNumber .NE. 1 ) THEN |
| 292 |
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STOP 'GAD_IMPLICIT_R: no solver available' |
| 293 |
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ENDIF |
| 294 |
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| 295 |
jmc |
1.8 |
#ifdef ALLOW_DIAGNOSTICS |
| 296 |
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C-- Set diagnostic suffix for the current tracer |
| 297 |
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IF ( useDiagnostics .AND. implicitDiffusion ) THEN |
| 298 |
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diagSufx = GAD_DIAG_SUFX( tracerIdentity, myThid ) |
| 299 |
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diagName = 'DFrI'//diagSufx |
| 300 |
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IF ( DIAGNOSTICS_IS_ON(diagName,myThid) ) THEN |
| 301 |
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DO k= 1,Nr |
| 302 |
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IF ( k.EQ.1 ) THEN |
| 303 |
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C- Note: Needs to call DIAGNOSTICS_FILL at level k=1 even if array == 0 |
| 304 |
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C otherwise counter is not incremented !! |
| 305 |
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DO j=1-OLy,sNy+OLy |
| 306 |
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DO i=1-OLx,sNx+OLx |
| 307 |
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df(i,j) = 0. _d 0 |
| 308 |
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ENDDO |
| 309 |
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ENDDO |
| 310 |
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ELSE |
| 311 |
|
|
DO j=1,sNy |
| 312 |
|
|
DO i=1,sNx |
| 313 |
jmc |
1.13 |
df(i,j) = |
| 314 |
jmc |
1.8 |
& rA(i,j,bi,bj) |
| 315 |
|
|
& * KappaRX(i,j,k)*recip_drC(k) |
| 316 |
|
|
& * (gTracer(i,j,k,bi,bj) - gTracer(i,j,k-1,bi,bj)) |
| 317 |
|
|
ENDDO |
| 318 |
|
|
ENDDO |
| 319 |
|
|
ENDIF |
| 320 |
jmc |
1.9 |
CALL DIAGNOSTICS_FILL(df,diagName, k,1, 2,bi,bj, myThid) |
| 321 |
jmc |
1.8 |
ENDDO |
| 322 |
|
|
ENDIF |
| 323 |
|
|
ENDIF |
| 324 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
| 325 |
|
|
|
| 326 |
jmc |
1.7 |
C-- end if Nr > 1 |
| 327 |
|
|
ENDIF |
| 328 |
|
|
|
| 329 |
jmc |
1.1 |
RETURN |
| 330 |
|
|
END |
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