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C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_calc_rhs.F,v 1.25 2004/06/25 18:19:20 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_CALC_RHS |
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|
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C !INTERFACE: ========================================================== |
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SUBROUTINE GAD_CALC_RHS( |
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I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
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I xA,yA,uTrans,vTrans,rTrans,rTransKp1,maskUp, |
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I uVel, vVel, wVel, |
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I diffKh, diffK4, KappaRT, Tracer, |
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I tracerIdentity, advectionScheme, vertAdvecScheme, |
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I calcAdvection, implicitAdvection, |
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U fVerT, gTracer, |
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I myThid ) |
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|
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C !DESCRIPTION: |
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C Calculates the tendancy of a tracer due to advection and diffusion. |
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C It calculates the fluxes in each direction indepentently and then |
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C sets the tendancy to the divergence of these fluxes. The advective |
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C fluxes are only calculated here when using the linear advection schemes |
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C otherwise only the diffusive and parameterized fluxes are calculated. |
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C |
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C Contributions to the flux are calculated and added: |
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C \begin{equation*} |
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C {\bf F} = {\bf F}_{adv} + {\bf F}_{diff} +{\bf F}_{GM} + {\bf F}_{KPP} |
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C \end{equation*} |
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C |
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C The tendancy is the divergence of the fluxes: |
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C \begin{equation*} |
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C G_\theta = G_\theta + \nabla \cdot {\bf F} |
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C \end{equation*} |
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C |
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C The tendancy is assumed to contain data on entry. |
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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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#include "SURFACE.h" |
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#include "GAD.h" |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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#include "tamc.h" |
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#include "tamc_keys.h" |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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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 iMin,iMax :: loop range for called routines |
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C jMin,jMax :: loop range for called routines |
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C kup :: index into 2 1/2D array, toggles between 1|2 |
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C kdown :: index into 2 1/2D array, toggles between 2|1 |
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C kp1 :: =k+1 for k<Nr, =Nr for k=Nr |
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C xA,yA :: areas of X and Y face of tracer cells |
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C uTrans,vTrans :: 2-D arrays of volume transports at U,V points |
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C rTrans :: 2-D arrays of volume transports at W points |
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C rTransKp1 :: 2-D array of volume trans at W pts, interf k+1 |
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C maskUp :: 2-D array for mask at W points |
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C uVel,vVel,wVel :: 3 components of the velcity field (3-D array) |
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C diffKh :: horizontal diffusion coefficient |
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C diffK4 :: bi-harmonic diffusion coefficient |
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C KappaRT :: 3-D array for vertical diffusion coefficient |
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C Tracer :: tracer field |
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C tracerIdentity :: tracer identifier (required for KPP,GM) |
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C advectionScheme :: advection scheme to use (Horizontal plane) |
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C vertAdvecScheme :: advection scheme to use (Vertical direction) |
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C calcAdvection :: =False if Advec computed with multiDim scheme |
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C implicitAdvection:: =True if vertical Advec computed implicitly |
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C myThid :: thread number |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
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INTEGER k,kUp,kDown,kM1 |
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_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vTrans(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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_RL rTransKp1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL wVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL diffKh, diffK4 |
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_RL KappaRT(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL Tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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INTEGER tracerIdentity |
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INTEGER advectionScheme, vertAdvecScheme |
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LOGICAL calcAdvection |
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LOGICAL implicitAdvection |
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INTEGER myThid |
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|
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C !OUTPUT PARAMETERS: ================================================== |
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C gTracer :: tendancy array |
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C fVerT :: 2 1/2D arrays for vertical advective flux |
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_RL gTracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL fVerT (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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|
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C !LOCAL VARIABLES: ==================================================== |
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C i,j :: loop indices |
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C df4 :: used for storing del^2 T for bi-harmonic term |
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C fZon :: zonal flux |
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C fmer :: meridional flux |
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C af :: advective flux |
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C df :: diffusive flux |
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C localT :: local copy of tracer field |
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INTEGER i,j |
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_RL df4 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fMer (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL af (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL df (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL localT(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL advFac, rAdvFac |
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CEOP |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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C-- only the kUp part of fverT is set in this subroutine |
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C-- the kDown is still required |
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fVerT(1,1,kDown) = fVerT(1,1,kDown) |
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#endif |
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|
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advFac = 0. _d 0 |
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IF (calcAdvection) advFac = 1. _d 0 |
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rAdvFac = rkFac*advFac |
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IF (implicitAdvection) rAdvFac = 0. _d 0 |
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|
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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fZon(i,j) = 0. _d 0 |
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fMer(i,j) = 0. _d 0 |
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fVerT(i,j,kUp) = 0. _d 0 |
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df(i,j) = 0. _d 0 |
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df4(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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|
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C-- Make local copy of tracer array |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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localT(i,j)=tracer(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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|
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C-- Unless we have already calculated the advection terms we initialize |
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C the tendency to zero. |
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C <== now done earlier at the beginning of thermodynamics. |
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c IF (calcAdvection) THEN |
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c DO j=1-Oly,sNy+Oly |
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c DO i=1-Olx,sNx+Olx |
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c gTracer(i,j,k,bi,bj)=0. _d 0 |
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c ENDDO |
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c ENDDO |
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c ENDIF |
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|
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C-- Pre-calculate del^2 T if bi-harmonic coefficient is non-zero |
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IF (diffK4 .NE. 0.) THEN |
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CALL GAD_GRAD_X(bi,bj,k,xA,localT,fZon,myThid) |
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CALL GAD_GRAD_Y(bi,bj,k,yA,localT,fMer,myThid) |
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CALL GAD_DEL2(bi,bj,k,fZon,fMer,df4,myThid) |
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ENDIF |
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|
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C-- Initialize net flux in X direction |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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fZon(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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|
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C- Advective flux in X |
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IF (calcAdvection) THEN |
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IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN |
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CALL GAD_C2_ADV_X(bi,bj,k,uTrans,localT,af,myThid) |
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ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
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CALL GAD_FLUXLIMIT_ADV_X( |
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& bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid) |
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ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN |
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CALL GAD_U3_ADV_X(bi,bj,k,uTrans,localT,af,myThid) |
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ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN |
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CALL GAD_C4_ADV_X(bi,bj,k,uTrans,localT,af,myThid) |
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ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN |
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CALL GAD_DST3_ADV_X( |
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& bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid) |
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ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
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CALL GAD_DST3FL_ADV_X( |
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& bi,bj,k,deltaTtracer,uTrans,uVel,localT,af,myThid) |
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ELSE |
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STOP 'GAD_CALC_RHS: Bad advectionScheme (X)' |
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ENDIF |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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fZon(i,j) = fZon(i,j) + af(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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C- Diffusive flux in X |
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IF (diffKh.NE.0.) THEN |
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CALL GAD_DIFF_X(bi,bj,k,xA,diffKh,localT,df,myThid) |
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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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df(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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#ifdef ALLOW_GMREDI |
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C- GM/Redi flux in X |
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IF (useGMRedi) THEN |
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C *note* should update GMREDI_XTRANSPORT to use localT and set df *aja* |
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CALL GMREDI_XTRANSPORT( |
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I iMin,iMax,jMin,jMax,bi,bj,K, |
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I xA,Tracer,tracerIdentity, |
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U df, |
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I myThid) |
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ENDIF |
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#endif |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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fZon(i,j) = fZon(i,j) + df(i,j) |
226 |
ENDDO |
227 |
ENDDO |
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|
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C- Bi-harmonic duffusive flux in X |
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IF (diffK4 .NE. 0.) THEN |
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CALL GAD_BIHARM_X(bi,bj,k,xA,df4,diffK4,df,myThid) |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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fZon(i,j) = fZon(i,j) + df(i,j) |
235 |
ENDDO |
236 |
ENDDO |
237 |
ENDIF |
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|
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C-- Initialize net flux in Y direction |
240 |
DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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fMer(i,j) = 0. _d 0 |
243 |
ENDDO |
244 |
ENDDO |
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|
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C- Advective flux in Y |
247 |
IF (calcAdvection) THEN |
248 |
IF (advectionScheme.EQ.ENUM_CENTERED_2ND) THEN |
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CALL GAD_C2_ADV_Y(bi,bj,k,vTrans,localT,af,myThid) |
250 |
ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
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CALL GAD_FLUXLIMIT_ADV_Y( |
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& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid) |
253 |
ELSEIF (advectionScheme.EQ.ENUM_UPWIND_3RD ) THEN |
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CALL GAD_U3_ADV_Y(bi,bj,k,vTrans,localT,af,myThid) |
255 |
ELSEIF (advectionScheme.EQ.ENUM_CENTERED_4TH) THEN |
256 |
CALL GAD_C4_ADV_Y(bi,bj,k,vTrans,localT,af,myThid) |
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ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN |
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CALL GAD_DST3_ADV_Y( |
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& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid) |
260 |
ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
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CALL GAD_DST3FL_ADV_Y( |
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& bi,bj,k,deltaTtracer,vTrans,vVel,localT,af,myThid) |
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ELSE |
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STOP 'GAD_CALC_RHS: Bad advectionScheme (Y)' |
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ENDIF |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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fMer(i,j) = fMer(i,j) + af(i,j) |
269 |
ENDDO |
270 |
ENDDO |
271 |
ENDIF |
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|
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C- Diffusive flux in Y |
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IF (diffKh.NE.0.) THEN |
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CALL GAD_DIFF_Y(bi,bj,k,yA,diffKh,localT,df,myThid) |
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ELSE |
277 |
DO j=1-Oly,sNy+Oly |
278 |
DO i=1-Olx,sNx+Olx |
279 |
df(i,j) = 0. _d 0 |
280 |
ENDDO |
281 |
ENDDO |
282 |
ENDIF |
283 |
|
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#ifdef ALLOW_GMREDI |
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C- GM/Redi flux in Y |
286 |
IF (useGMRedi) THEN |
287 |
C *note* should update GMREDI_YTRANSPORT to use localT and set df *aja* |
288 |
CALL GMREDI_YTRANSPORT( |
289 |
I iMin,iMax,jMin,jMax,bi,bj,K, |
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I yA,Tracer,tracerIdentity, |
291 |
U df, |
292 |
I myThid) |
293 |
ENDIF |
294 |
#endif |
295 |
DO j=1-Oly,sNy+Oly |
296 |
DO i=1-Olx,sNx+Olx |
297 |
fMer(i,j) = fMer(i,j) + df(i,j) |
298 |
ENDDO |
299 |
ENDDO |
300 |
|
301 |
C- Bi-harmonic flux in Y |
302 |
IF (diffK4 .NE. 0.) THEN |
303 |
CALL GAD_BIHARM_Y(bi,bj,k,yA,df4,diffK4,df,myThid) |
304 |
DO j=1-Oly,sNy+Oly |
305 |
DO i=1-Olx,sNx+Olx |
306 |
fMer(i,j) = fMer(i,j) + df(i,j) |
307 |
ENDDO |
308 |
ENDDO |
309 |
ENDIF |
310 |
|
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C-- Compute vertical flux fVerT(kUp) at interface k (between k-1 & k): |
312 |
C- Advective flux in R |
313 |
#ifdef ALLOW_AIM |
314 |
C- a hack to prevent Water-Vapor vert.transport into the stratospheric level Nr |
315 |
IF (calcAdvection .AND. .NOT.implicitAdvection .AND. K.GE.2 .AND. |
316 |
& (.NOT.useAIM .OR.tracerIdentity.NE.GAD_SALINITY .OR.K.LT.Nr) |
317 |
& ) THEN |
318 |
#else |
319 |
IF (calcAdvection .AND. .NOT.implicitAdvection .AND. K.GE.2) THEN |
320 |
#endif |
321 |
C- Compute vertical advective flux in the interior: |
322 |
IF (vertAdvecScheme.EQ.ENUM_CENTERED_2ND) THEN |
323 |
CALL GAD_C2_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
324 |
ELSEIF (vertAdvecScheme.EQ.ENUM_FLUX_LIMIT) THEN |
325 |
CALL GAD_FLUXLIMIT_ADV_R( |
326 |
& bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid) |
327 |
ELSEIF (vertAdvecScheme.EQ.ENUM_UPWIND_3RD ) THEN |
328 |
CALL GAD_U3_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
329 |
ELSEIF (vertAdvecScheme.EQ.ENUM_CENTERED_4TH) THEN |
330 |
CALL GAD_C4_ADV_R(bi,bj,k,rTrans,tracer,af,myThid) |
331 |
ELSEIF (vertAdvecScheme.EQ.ENUM_DST3 ) THEN |
332 |
CALL GAD_DST3_ADV_R( |
333 |
& bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid) |
334 |
ELSEIF (vertAdvecScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
335 |
CALL GAD_DST3FL_ADV_R( |
336 |
& bi,bj,k,deltaTtracer,rTrans,wVel,tracer,af,myThid) |
337 |
ELSE |
338 |
STOP 'GAD_CALC_RHS: Bad vertAdvecScheme (R)' |
339 |
ENDIF |
340 |
C- add the advective flux to fVerT |
341 |
DO j=1-Oly,sNy+Oly |
342 |
DO i=1-Olx,sNx+Olx |
343 |
fVerT(i,j,kUp) = fVerT(i,j,kUp) + af(i,j) |
344 |
ENDDO |
345 |
ENDDO |
346 |
ENDIF |
347 |
|
348 |
C- Diffusive flux in R |
349 |
C Note: For K=1 then KM1=1 and this gives a dT/dr = 0 upper |
350 |
C boundary condition. |
351 |
IF (implicitDiffusion) THEN |
352 |
DO j=1-Oly,sNy+Oly |
353 |
DO i=1-Olx,sNx+Olx |
354 |
df(i,j) = 0. _d 0 |
355 |
ENDDO |
356 |
ENDDO |
357 |
ELSE |
358 |
CALL GAD_DIFF_R(bi,bj,k,KappaRT,tracer,df,myThid) |
359 |
ENDIF |
360 |
|
361 |
#ifdef ALLOW_GMREDI |
362 |
C- GM/Redi flux in R |
363 |
IF (useGMRedi) THEN |
364 |
C *note* should update GMREDI_RTRANSPORT to set df *aja* |
365 |
CALL GMREDI_RTRANSPORT( |
366 |
I iMin,iMax,jMin,jMax,bi,bj,K, |
367 |
I Tracer,tracerIdentity, |
368 |
U df, |
369 |
I myThid) |
370 |
ENDIF |
371 |
#endif |
372 |
|
373 |
DO j=1-Oly,sNy+Oly |
374 |
DO i=1-Olx,sNx+Olx |
375 |
fVerT(i,j,kUp) = fVerT(i,j,kUp) + df(i,j)*maskUp(i,j) |
376 |
ENDDO |
377 |
ENDDO |
378 |
|
379 |
#ifdef ALLOW_KPP |
380 |
C- Add non local KPP transport term (ghat) to diffusive T flux. |
381 |
IF (useKPP) THEN |
382 |
DO j=1-Oly,sNy+Oly |
383 |
DO i=1-Olx,sNx+Olx |
384 |
df(i,j) = 0. _d 0 |
385 |
ENDDO |
386 |
ENDDO |
387 |
IF (tracerIdentity.EQ.GAD_TEMPERATURE) THEN |
388 |
C *note* should update KPP_TRANSPORT_T to set df *aja* |
389 |
CALL KPP_TRANSPORT_T( |
390 |
I iMin,iMax,jMin,jMax,bi,bj,k,km1, |
391 |
I KappaRT, |
392 |
U df ) |
393 |
ELSEIF (tracerIdentity.EQ.GAD_SALINITY) THEN |
394 |
CALL KPP_TRANSPORT_S( |
395 |
I iMin,iMax,jMin,jMax,bi,bj,k,km1, |
396 |
I KappaRT, |
397 |
U df ) |
398 |
#ifdef ALLOW_PTRACERS |
399 |
ELSEIF (tracerIdentity .GE. GAD_TR1) THEN |
400 |
CALL KPP_TRANSPORT_PTR( |
401 |
I iMin,iMax,jMin,jMax,bi,bj,k,km1, |
402 |
I tracerIdentity-GAD_TR1+1,KappaRT, |
403 |
U df ) |
404 |
#endif |
405 |
ELSE |
406 |
PRINT*,'invalid tracer indentity: ', tracerIdentity |
407 |
STOP 'GAD_CALC_RHS: Ooops' |
408 |
ENDIF |
409 |
DO j=1-Oly,sNy+Oly |
410 |
DO i=1-Olx,sNx+Olx |
411 |
fVerT(i,j,kUp) = fVerT(i,j,kUp) + df(i,j)*maskUp(i,j) |
412 |
ENDDO |
413 |
ENDDO |
414 |
ENDIF |
415 |
#endif |
416 |
|
417 |
C-- Divergence of fluxes |
418 |
DO j=1-Oly,sNy+Oly-1 |
419 |
DO i=1-Olx,sNx+Olx-1 |
420 |
gTracer(i,j,k,bi,bj)=gTracer(i,j,k,bi,bj) |
421 |
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k)*recip_rA(i,j,bi,bj) |
422 |
& *( (fZon(i+1,j)-fZon(i,j)) |
423 |
& +(fMer(i,j+1)-fMer(i,j)) |
424 |
& +(fVerT(i,j,kUp)-fVerT(i,j,kDown))*rkFac |
425 |
& -localT(i,j)*( (uTrans(i+1,j)-uTrans(i,j)) |
426 |
& +(vTrans(i,j+1)-vTrans(i,j)) |
427 |
& +(rTrans(i,j)-rTransKp1(i,j))*rAdvFac |
428 |
& )*advFac |
429 |
& ) |
430 |
ENDDO |
431 |
ENDDO |
432 |
|
433 |
RETURN |
434 |
END |