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C $Header: /u/gcmpack/models/MITgcmUV/model/src/impldiff.F,v 1.1 1998/06/01 22:27:14 adcroft Exp $ |
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#include "CPP_EEOPTIONS.h" |
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C /==========================================================\ |
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C | S/R IMPLDIFF | |
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C | o Step model fields forward in time | |
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C \==========================================================/ |
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SUBROUTINE IMPLDIFF( bi, bj, iMin, iMax, jMin, jMax, |
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I KappaZT, |
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I myThid ) |
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implicit none |
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! Common |
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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 KappaZT(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nz) |
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INTEGER myThid |
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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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_RL gam(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nz) |
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|
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IF (Nz.GT.1) THEN ! Only need do anything if Nz>1 |
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C Beginning of forward sweep (top level) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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c(i,j)=-deltaTtracer*_rhFacC(i,j,1,bi,bj)*rdzF(1) |
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& *KappaZT(i,j,2)*rdzC(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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theta(i,j,1,bi,bj)=theta(i,j,1,bi,bj)*bet(i,j) |
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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 (Nz.GT.2) THEN |
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DO k=2,Nz-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*_rhFacC(i,j,k,bi,bj)*rdzF(k) |
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& *KappaZT(i,j, k )*rdzC( k ) |
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c(i,j)=-deltaTtracer*_rhFacC(i,j,k,bi,bj)*rdzF(k) |
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& *KappaZT(i,j,k+1)*rdzC(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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theta(i,j,k,bi,bj)=(theta(i,j,k,bi,bj) |
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& -a(i,j)*theta(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 (Nz.GT.1) THEN |
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C End of forward sweep (bottom level) |
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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*_rhFacC(i,j,Nz,bi,bj)*rdzF(Nz) |
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& *KappaZT(i,j, Nz )*rdzC( Nz ) |
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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,Nz)=ckm1(i,j)*bet(i,j) |
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bet(i,j)=b(i,j)-a(i,j)*gam(i,j,Nz) |
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IF (bet(i,j).NE.0.) bet(i,j)=1. / bet(i,j) |
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theta(i,j,Nz,bi,bj)=(theta(i,j,Nz,bi,bj) |
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& -a(i,j)*theta(i,j,Nz-1,bi,bj))*bet(i,j) |
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ENDDO |
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ENDDO |
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C Backward sweep |
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DO k=Nz-1,1,-1 |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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theta(i,j,k,bi,bj)=theta(i,j,k,bi,bj) |
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& -gam(i,j,k+1)*theta(i,j,k+1,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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|
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RETURN |
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END |