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C $Header: /u/gcmpack/models/MITgcmUV/model/src/impldiff.F,v 1.6 1998/08/22 17:51:08 cnh Exp $ |
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#include "CPP_OPTIONS.h" |
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C /==========================================================\ |
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C | S/R IMPLDIFF | |
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C | o Solve implicit diffusion equation for vertical | |
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C | diffusivity. | |
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C \==========================================================/ |
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SUBROUTINE IMPLDIFF( bi, bj, iMin, iMax, jMin, jMax, |
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1.5 |
I KappaRT,KappaRS, |
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1.1 |
I myThid ) |
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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 "DYNVARS.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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C == Routine Arguments == |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
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_RL KappaRT(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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_RL KappaRS(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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1.1 |
INTEGER myThid |
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1.1 |
C == Local variables == |
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INTEGER i,j,k |
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_RL a(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL b(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL c(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL ckm1(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL bet(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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1.6 |
_RL gam(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr) |
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C *************************************************************** |
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C ***************** **************** |
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C ***************** N O T E **************** |
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C ***************** **************** |
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C *************************************************************** |
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C |
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C The implicit diffusion of SALT currently uses the diffusivity |
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C of the THETA. |
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1.5 |
C ie. KappaRS is ignored. |
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1.3 |
C |
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C *************************************************************** |
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C *************************************************************** |
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IF (Nr.GT.1) THEN ! Only need do anything if Nr>1 |
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C-- Beginning of forward sweep (top level) |
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1.1 |
DO j=jMin,jMax |
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DO i=iMin,iMax |
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c(i,j)=-deltaTtracer*recip_hFacC(i,j,1,bi,bj)*recip_drF(1) |
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& *KappaRT(i,j,2)*recip_drC(2) |
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b(i,j)=1.-c(i,j) |
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bet(i,j)=0. |
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IF (b(i,j).NE.0.) bet(i,j)=1. / b(i,j) |
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gTnm1(i,j,1,bi,bj)=gTnm1(i,j,1,bi,bj)*bet(i,j) |
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gSnm1(i,j,1,bi,bj)=gSnm1(i,j,1,bi,bj)*bet(i,j) |
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1.1 |
ENDDO |
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ENDDO |
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ENDIF |
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C-- Middle of forward sweep |
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IF (Nr.GT.2) THEN |
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DO k=2,Nr-1 |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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ckm1(i,j)=c(i,j) |
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a(i,j)=-deltaTtracer*recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
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& *KappaRT(i,j, k )*recip_drC( k ) |
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c(i,j)=-deltaTtracer*recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
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& *KappaRT(i,j,k+1)*recip_drC(k+1) |
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b(i,j)=1.-c(i,j)-a(i,j) |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gam(i,j,k)=ckm1(i,j)*bet(i,j) |
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bet(i,j)=b(i,j)-a(i,j)*gam(i,j,k) |
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IF (bet(i,j).NE.0.) bet(i,j)=1. / bet(i,j) |
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gTnm1(i,j,k,bi,bj)=(gTnm1(i,j,k,bi,bj) |
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& -a(i,j)*gTnm1(i,j,k-1,bi,bj))*bet(i,j) |
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gSnm1(i,j,k,bi,bj)=(gSnm1(i,j,k,bi,bj) |
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& -a(i,j)*gSnm1(i,j,k-1,bi,bj))*bet(i,j) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDIF |
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IF (Nr.GT.1) THEN |
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C-- End of forward sweep (bottom level) |
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1.1 |
DO j=jMin,jMax |
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DO i=iMin,iMax |
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ckm1(i,j)=c(i,j) |
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a(i,j)=-deltaTtracer*recip_hFacC(i,j,Nr,bi,bj)*recip_drF(Nr) |
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& *KappaRT(i,j, Nr )*recip_drC( Nr ) |
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b(i,j)=1.-a(i,j) |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gam(i,j,Nr)=ckm1(i,j)*bet(i,j) |
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bet(i,j)=b(i,j)-a(i,j)*gam(i,j,Nr) |
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IF (bet(i,j).NE.0.) bet(i,j)=1. / bet(i,j) |
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gTnm1(i,j,Nr,bi,bj)=(gTnm1(i,j,Nr,bi,bj) |
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& -a(i,j)*gTnm1(i,j,Nr-1,bi,bj))*bet(i,j) |
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gSnm1(i,j,Nr,bi,bj)=(gSnm1(i,j,Nr,bi,bj) |
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& -a(i,j)*gSnm1(i,j,Nr-1,bi,bj))*bet(i,j) |
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1.1 |
ENDDO |
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ENDDO |
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C-- Backward sweep |
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DO k=Nr-1,1,-1 |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gTnm1(i,j,k,bi,bj)=gTnm1(i,j,k,bi,bj) |
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& -gam(i,j,k+1)*gTnm1(i,j,k+1,bi,bj) |
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gSnm1(i,j,k,bi,bj)=gSnm1(i,j,k,bi,bj) |
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& -gam(i,j,k+1)*gSnm1(i,j,k+1,bi,bj) |
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1.1 |
ENDDO |
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ENDDO |
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ENDDO |
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ENDIF |
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RETURN |
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END |
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