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C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_biharm_r.F,v 1.1 2012/06/15 13:26:20 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_BIHARM_R |
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|
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C !INTERFACE: ========================================================== |
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SUBROUTINE GAD_BIHARM_R( |
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I bi, bj, k, |
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I diffKr4, tracer, |
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U d4f, |
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I myThid ) |
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|
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C !DESCRIPTION: |
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C Calculates the vertical flux due to bi-harmonic diffusion of a tracer. |
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C \begin{equation*} |
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C F^r_{diff} = \kappa_4 \partial_r ( \partial^2 / \partial_r^2 \theta ) |
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C \end{equation*} |
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|
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C !USES: =============================================================== |
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IMPLICIT NONE |
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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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|
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C !INPUT PARAMETERS: =================================================== |
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C bi,bj :: tile indices |
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C k :: vertical level |
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C diffKr4 :: vertical bi-harmonic diffusivity |
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C tracer :: tracer field |
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C myThid :: my thread Id number |
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INTEGER bi, bj, k |
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_RL diffKr4(Nr) |
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_RL tracer (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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INTEGER myThid |
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|
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C !OUTPUT PARAMETERS: ================================================== |
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C dfy :: vertical diffusive flux |
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_RL d4f (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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C !LOCAL VARIABLES: ==================================================== |
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C i,j,n :: loop indices |
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C del2T :: vertical 2nd derivative of tracer |
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C gradR :: vertical 1rst derivative of tracer (*rkSign) |
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INTEGER i, j, n |
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INTEGER kl, km, kp |
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_RL del2T(1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:2) |
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_RL gradR(1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:3) |
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_RL tmpFac |
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CEOP |
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|
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IF ( k.GE.2 ) THEN |
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|
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C Calculate vertical gradient @ interface k-1, k & k+1 (n=1:3) |
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DO n=1,3 |
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km = k+n-3 |
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kl = k+n-2 |
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IF ( km.LT.1 .OR. kl.GT.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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gradR(i,j,n) = 0. |
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ENDDO |
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ENDDO |
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ELSE |
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tmpFac = recip_drC(kl)*deepFac2F(kl)*rhoFacF(kl) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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gradR(i,j,n) = ( tracer(i,j,kl)-tracer(i,j,km) ) |
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& *tmpFac*maskC(i,j,kl,bi,bj)*maskC(i,j,km,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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ENDDO |
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|
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C Calculate vertical 2nd derivative @ level k-1 & k (n=1:2) |
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DO n=1,2 |
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kl = k+n-2 |
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kp = k+n-1 |
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tmpFac = recip_drF(kl)*recip_deepFac2C(kl)*recip_rhoFacC(kl) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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del2T(i,j,n) = ( gradR(i,j,n+1)-gradR(i,j,n) ) |
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& *_recip_hFacC(i,j,kl,bi,bj) |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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C Add bi-harmonic flux (gradient of 2nd derivative) |
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tmpFac = rkSign*recip_drC(k)*deepFac2F(k)*rhoFacF(k) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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d4f(i,j) = d4f(i,j) |
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& + diffKr4(k)*( del2T(i,j,2)-del2T(i,j,1) ) |
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& *tmpFac*_rA(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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|
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ENDIF |
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|
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RETURN |
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END |
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