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C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_advection.F,v 1.61 2009/06/26 23:10:09 jahn Exp $ |
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C $Name: $ |
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|
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#include "GAD_OPTIONS.h" |
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#undef MULTIDIM_OLD_VERSION |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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CBOP |
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C !ROUTINE: GAD_ADVECTION |
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|
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C !INTERFACE: ========================================================== |
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SUBROUTINE GAD_ADVECTION( |
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I implicitAdvection, advectionScheme, vertAdvecScheme, |
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I tracerIdentity, deltaTLev, |
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I uVel, vVel, wVel, tracer, |
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O gTracer, |
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I bi,bj, myTime,myIter,myThid) |
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|
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C !DESCRIPTION: |
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C Calculates the tendency of a tracer due to advection. |
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C It uses the multi-dimensional method given in \ref{sect:multiDimAdvection} |
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C and can only be used for the non-linear advection schemes such as the |
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C direct-space-time method and flux-limiters. |
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C |
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C The algorithm is as follows: |
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C \begin{itemize} |
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C \item{$\theta^{(n+1/3)} = \theta^{(n)} |
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C - \Delta t \partial_x (u\theta^{(n)}) + \theta^{(n)} \partial_x u$} |
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C \item{$\theta^{(n+2/3)} = \theta^{(n+1/3)} |
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C - \Delta t \partial_y (v\theta^{(n+1/3)}) + \theta^{(n)} \partial_y v$} |
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C \item{$\theta^{(n+3/3)} = \theta^{(n+2/3)} |
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C - \Delta t \partial_r (w\theta^{(n+2/3)}) + \theta^{(n)} \partial_r w$} |
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C \item{$G_\theta = ( \theta^{(n+3/3)} - \theta^{(n)} )/\Delta t$} |
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C \end{itemize} |
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C |
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C The tendency (output) is over-written by this routine. |
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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 "GAD.h" |
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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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# ifdef ALLOW_PTRACERS |
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# include "PTRACERS_SIZE.h" |
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# endif |
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#endif |
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#ifdef ALLOW_EXCH2 |
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#include "W2_EXCH2_SIZE.h" |
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#include "W2_EXCH2_TOPOLOGY.h" |
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#endif /* ALLOW_EXCH2 */ |
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|
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C !INPUT PARAMETERS: =================================================== |
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C implicitAdvection :: implicit vertical advection (later on) |
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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 tracerIdentity :: tracer identifier (required only for OBCS) |
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C uVel :: velocity, zonal component |
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C vVel :: velocity, meridional component |
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C wVel :: velocity, vertical component |
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C tracer :: 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 :: iteration number |
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C myThid :: thread number |
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LOGICAL implicitAdvection |
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INTEGER advectionScheme, vertAdvecScheme |
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INTEGER tracerIdentity |
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_RL deltaTLev(Nr) |
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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 tracer(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 |
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INTEGER myThid |
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|
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C !OUTPUT PARAMETERS: ================================================== |
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C gTracer :: tendency array |
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_RL gTracer(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nr,nSx,nSy) |
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|
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C !LOCAL VARIABLES: ==================================================== |
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C maskUp :: 2-D array for mask at W points |
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C maskLocW :: 2-D array for mask at West points |
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C maskLocS :: 2-D array for mask at South points |
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C [iMin,iMax]Upd :: loop range to update tracer field |
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C [jMin,jMax]Upd :: loop range to update tracer field |
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C i,j,k :: loop indices |
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C kUp :: index into 2 1/2D array, toggles between 1 and 2 |
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C kDown :: index into 2 1/2D array, toggles between 2 and 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 uFld,vFld :: 2-D local copy of horizontal velocity, U,V components |
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C wFld :: 2-D local copy of vertical velocity |
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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 :: vertical volume transport at interface k+1 |
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C af :: 2-D array for horizontal advective flux |
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C afx :: 2-D array for horizontal advective flux, x direction |
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C afy :: 2-D array for horizontal advective flux, y direction |
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C fVerT :: 2 1/2D arrays for vertical advective flux |
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C localTij :: 2-D array, temporary local copy of tracer fld |
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C localTijk :: 3-D array, temporary local copy of tracer fld |
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C kp1Msk :: flag (0,1) for over-riding mask for W levels |
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C calc_fluxes_X :: logical to indicate to calculate fluxes in X dir |
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C calc_fluxes_Y :: logical to indicate to calculate fluxes in Y dir |
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C interiorOnly :: only update the interior of myTile, but not the edges |
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C overlapOnly :: only update the edges of myTile, but not the interior |
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C npass :: number of passes in multi-dimensional method |
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C ipass :: number of the current pass being made |
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C myTile :: variables used to determine which cube face |
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C nCFace :: owns a tile for cube grid runs using |
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C :: multi-dim advection. |
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C [N,S,E,W]_edge :: true if N,S,E,W edge of myTile is an Edge of the cube |
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c _RS maskUp (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS maskLocW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS maskLocS(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER iMinUpd,iMaxUpd,jMinUpd,jMaxUpd |
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INTEGER i,j,k,kUp,kDown |
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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 uFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL wFld (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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_RL af (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL afx (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL afy (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fVerT (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL localTij(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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_RL kp1Msk |
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LOGICAL calc_fluxes_X, calc_fluxes_Y, withSigns |
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LOGICAL interiorOnly, overlapOnly |
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INTEGER npass, ipass |
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INTEGER nCFace |
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LOGICAL N_edge, S_edge, E_edge, W_edge |
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#ifdef ALLOW_EXCH2 |
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INTEGER myTile |
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#endif |
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#ifdef ALLOW_DIAGNOSTICS |
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CHARACTER*8 diagName |
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CHARACTER*4 diagSufx |
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LOGICAL doDiagAdvX, doDiagAdvY, doDiagAdvR |
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C- Functions: |
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CHARACTER*4 GAD_DIAG_SUFX |
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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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#endif |
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CEOP |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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act0 = tracerIdentity |
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max0 = maxpass |
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act1 = bi - myBxLo(myThid) |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
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act2 = bj - myByLo(myThid) |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
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act3 = myThid - 1 |
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max3 = nTx*nTy |
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act4 = ikey_dynamics - 1 |
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igadkey = act0 |
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& + act1*max0 |
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& + act2*max0*max1 |
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& + act3*max0*max1*max2 |
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& + act4*max0*max1*max2*max3 |
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IF (tracerIdentity.GT.maxpass) THEN |
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print *, 'ph-pass gad_advection ', maxpass, tracerIdentity |
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STOP 'maxpass seems smaller than tracerIdentity' |
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ENDIF |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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#ifdef ALLOW_DIAGNOSTICS |
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C-- Set diagnostics flags and suffix for the current tracer |
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doDiagAdvX = .FALSE. |
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doDiagAdvY = .FALSE. |
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doDiagAdvR = .FALSE. |
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IF ( useDiagnostics ) THEN |
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diagSufx = GAD_DIAG_SUFX( tracerIdentity, myThid ) |
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diagName = 'ADVx'//diagSufx |
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doDiagAdvX = DIAGNOSTICS_IS_ON( diagName, myThid ) |
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diagName = 'ADVy'//diagSufx |
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doDiagAdvY = DIAGNOSTICS_IS_ON( diagName, myThid ) |
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diagName = 'ADVr'//diagSufx |
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doDiagAdvR = DIAGNOSTICS_IS_ON( diagName, myThid ) |
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ENDIF |
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#endif |
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|
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C-- Set up work arrays with valid (i.e. not NaN) values |
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C These inital values do not alter the numerical results. They |
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C just ensure that all memory references are to valid floating |
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C point numbers. This prevents spurious hardware signals due to |
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C uninitialised but inert locations. |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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xA(i,j) = 0. _d 0 |
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yA(i,j) = 0. _d 0 |
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uTrans(i,j) = 0. _d 0 |
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vTrans(i,j) = 0. _d 0 |
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rTrans(i,j) = 0. _d 0 |
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fVerT(i,j,1) = 0. _d 0 |
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fVerT(i,j,2) = 0. _d 0 |
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rTransKp1(i,j)= 0. _d 0 |
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#ifdef ALLOW_AUTODIFF_TAMC |
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localTij(i,j) = 0. _d 0 |
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wfld(i,j) = 0. _d 0 |
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#endif |
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ENDDO |
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ENDDO |
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|
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C-- Set tile-specific parameters for horizontal fluxes |
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IF (useCubedSphereExchange) THEN |
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npass = 3 |
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#ifdef ALLOW_AUTODIFF_TAMC |
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IF ( npass.GT.maxcube ) STOP 'maxcube needs to be = 3' |
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#endif |
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#ifdef ALLOW_EXCH2 |
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myTile = W2_myTileList(bi,bj) |
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nCFace = exch2_myFace(myTile) |
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N_edge = exch2_isNedge(myTile).EQ.1 |
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S_edge = exch2_isSedge(myTile).EQ.1 |
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E_edge = exch2_isEedge(myTile).EQ.1 |
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W_edge = exch2_isWedge(myTile).EQ.1 |
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#else |
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nCFace = bi |
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N_edge = .TRUE. |
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S_edge = .TRUE. |
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E_edge = .TRUE. |
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W_edge = .TRUE. |
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#endif |
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ELSE |
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npass = 2 |
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nCFace = 0 |
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N_edge = .FALSE. |
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S_edge = .FALSE. |
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E_edge = .FALSE. |
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W_edge = .FALSE. |
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ENDIF |
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|
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C-- Start of k loop for horizontal fluxes |
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DO k=1,Nr |
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#ifdef ALLOW_AUTODIFF_TAMC |
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kkey = (igadkey-1)*Nr + k |
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CADJ STORE tracer(:,:,k,bi,bj) = |
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CADJ & comlev1_bibj_k_gad, key=kkey, kind=isbyte |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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C-- Get temporary terms used by tendency routines |
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CALL CALC_COMMON_FACTORS ( |
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I uVel, vVel, |
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O uFld, vFld, uTrans, vTrans, xA, yA, |
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I k,bi,bj, myThid ) |
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|
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#ifdef ALLOW_GMREDI |
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C-- Residual transp = Bolus transp + Eulerian transp |
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IF (useGMRedi) |
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& CALL GMREDI_CALC_UVFLOW( |
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U uFld, vFld, uTrans, vTrans, |
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I k, bi, bj, myThid ) |
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#endif /* ALLOW_GMREDI */ |
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|
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C-- Make local copy of tracer array and mask West & South |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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localTij(i,j)=tracer(i,j,k,bi,bj) |
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maskLocW(i,j)=_maskW(i,j,k,bi,bj) |
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maskLocS(i,j)=_maskS(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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|
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cph-exch2#ifndef ALLOW_AUTODIFF_TAMC |
| 281 |
IF (useCubedSphereExchange) THEN |
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withSigns = .FALSE. |
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CALL FILL_CS_CORNER_UV_RS( |
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& withSigns, maskLocW,maskLocS, bi,bj, myThid ) |
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ENDIF |
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cph-exch2#endif |
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|
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C-- Multiple passes for different directions on different tiles |
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C-- For cube need one pass for each of red, green and blue axes. |
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DO ipass=1,npass |
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#ifdef ALLOW_AUTODIFF_TAMC |
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passkey = ipass |
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& + (k-1) *maxpass |
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& + (igadkey-1)*maxpass*Nr |
| 295 |
IF (npass .GT. maxpass) THEN |
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STOP 'GAD_ADVECTION: npass > maxcube. check tamc.h' |
| 297 |
ENDIF |
| 298 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 299 |
|
| 300 |
interiorOnly = .FALSE. |
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overlapOnly = .FALSE. |
| 302 |
IF (useCubedSphereExchange) THEN |
| 303 |
#ifdef MULTIDIM_OLD_VERSION |
| 304 |
C- CubedSphere : pass 3 times, with full update of local tracer field |
| 305 |
IF (ipass.EQ.1) THEN |
| 306 |
calc_fluxes_X = nCFace.EQ.1 .OR. nCFace.EQ.2 |
| 307 |
calc_fluxes_Y = nCFace.EQ.4 .OR. nCFace.EQ.5 |
| 308 |
ELSEIF (ipass.EQ.2) THEN |
| 309 |
calc_fluxes_X = nCFace.EQ.3 .OR. nCFace.EQ.4 |
| 310 |
calc_fluxes_Y = nCFace.EQ.6 .OR. nCFace.EQ.1 |
| 311 |
#else /* MULTIDIM_OLD_VERSION */ |
| 312 |
C- CubedSphere : pass 3 times, with partial update of local tracer field |
| 313 |
IF (ipass.EQ.1) THEN |
| 314 |
overlapOnly = MOD(nCFace,3).EQ.0 |
| 315 |
interiorOnly = MOD(nCFace,3).NE.0 |
| 316 |
calc_fluxes_X = nCFace.EQ.6 .OR. nCFace.EQ.1 .OR. nCFace.EQ.2 |
| 317 |
calc_fluxes_Y = nCFace.EQ.3 .OR. nCFace.EQ.4 .OR. nCFace.EQ.5 |
| 318 |
ELSEIF (ipass.EQ.2) THEN |
| 319 |
overlapOnly = MOD(nCFace,3).EQ.2 |
| 320 |
interiorOnly = MOD(nCFace,3).EQ.1 |
| 321 |
calc_fluxes_X = nCFace.EQ.2 .OR. nCFace.EQ.3 .OR. nCFace.EQ.4 |
| 322 |
calc_fluxes_Y = nCFace.EQ.5 .OR. nCFace.EQ.6 .OR. nCFace.EQ.1 |
| 323 |
#endif /* MULTIDIM_OLD_VERSION */ |
| 324 |
ELSE |
| 325 |
interiorOnly = .TRUE. |
| 326 |
calc_fluxes_X = nCFace.EQ.5 .OR. nCFace.EQ.6 |
| 327 |
calc_fluxes_Y = nCFace.EQ.2 .OR. nCFace.EQ.3 |
| 328 |
ENDIF |
| 329 |
ELSE |
| 330 |
C- not CubedSphere |
| 331 |
calc_fluxes_X = MOD(ipass,2).EQ.1 |
| 332 |
calc_fluxes_Y = .NOT.calc_fluxes_X |
| 333 |
ENDIF |
| 334 |
|
| 335 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 336 |
C-- X direction |
| 337 |
C- Advective flux in X |
| 338 |
DO j=1-Oly,sNy+Oly |
| 339 |
DO i=1-Olx,sNx+Olx |
| 340 |
af(i,j) = 0. |
| 341 |
ENDDO |
| 342 |
ENDDO |
| 343 |
C |
| 344 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 345 |
# ifndef DISABLE_MULTIDIM_ADVECTION |
| 346 |
CADJ STORE localTij(:,:) = |
| 347 |
CADJ & comlev1_bibj_k_gad_pass, key=passkey, kind=isbyte |
| 348 |
CADJ STORE af(:,:) = |
| 349 |
CADJ & comlev1_bibj_k_gad_pass, key=passkey, kind=isbyte |
| 350 |
# endif |
| 351 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 352 |
C |
| 353 |
IF (calc_fluxes_X) THEN |
| 354 |
|
| 355 |
C- Do not compute fluxes if |
| 356 |
C a) needed in overlap only |
| 357 |
C and b) the overlap of myTile are not cube-face Edges |
| 358 |
IF ( .NOT.overlapOnly .OR. N_edge .OR. S_edge ) THEN |
| 359 |
|
| 360 |
C- Internal exchange for calculations in X |
| 361 |
#ifdef MULTIDIM_OLD_VERSION |
| 362 |
IF ( useCubedSphereExchange ) THEN |
| 363 |
#else |
| 364 |
IF ( overlapOnly ) THEN |
| 365 |
#endif |
| 366 |
CALL FILL_CS_CORNER_TR_RL( 1, .FALSE., |
| 367 |
& localTij, bi,bj, myThid ) |
| 368 |
ENDIF |
| 369 |
|
| 370 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 371 |
# ifndef DISABLE_MULTIDIM_ADVECTION |
| 372 |
CADJ STORE localTij(:,:) = |
| 373 |
CADJ & comlev1_bibj_k_gad_pass, key=passkey, kind=isbyte |
| 374 |
# endif |
| 375 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 376 |
|
| 377 |
IF ( advectionScheme.EQ.ENUM_UPWIND_1RST |
| 378 |
& .OR. advectionScheme.EQ.ENUM_DST2 ) THEN |
| 379 |
CALL GAD_DST2U1_ADV_X( bi,bj,k, advectionScheme, .TRUE., |
| 380 |
I deltaTLev(k),uTrans,uFld,localTij, |
| 381 |
O af, myThid ) |
| 382 |
ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
| 383 |
CALL GAD_FLUXLIMIT_ADV_X( bi,bj,k, .TRUE., deltaTLev(k), |
| 384 |
I uTrans, uFld, maskLocW, localTij, |
| 385 |
O af, myThid ) |
| 386 |
ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN |
| 387 |
CALL GAD_DST3_ADV_X( bi,bj,k, .TRUE., deltaTLev(k), |
| 388 |
I uTrans, uFld, maskLocW, localTij, |
| 389 |
O af, myThid ) |
| 390 |
ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
| 391 |
CALL GAD_DST3FL_ADV_X( bi,bj,k, .TRUE., deltaTLev(k), |
| 392 |
I uTrans, uFld, maskLocW, localTij, |
| 393 |
O af, myThid ) |
| 394 |
#ifndef ALLOW_AUTODIFF_TAMC |
| 395 |
ELSEIF (advectionScheme.EQ.ENUM_OS7MP ) THEN |
| 396 |
CALL GAD_OS7MP_ADV_X( bi,bj,k, .TRUE., deltaTLev(k), |
| 397 |
I uTrans, uFld, maskLocW, localTij, |
| 398 |
O af, myThid ) |
| 399 |
#endif |
| 400 |
ELSE |
| 401 |
STOP 'GAD_ADVECTION: adv. scheme incompatibale with multi-dim' |
| 402 |
ENDIF |
| 403 |
|
| 404 |
C- Internal exchange for next calculations in Y |
| 405 |
IF ( overlapOnly .AND. ipass.EQ.1 ) THEN |
| 406 |
CALL FILL_CS_CORNER_TR_RL( 2, .FALSE., |
| 407 |
& localTij, bi,bj, myThid ) |
| 408 |
ENDIF |
| 409 |
|
| 410 |
C- Advective flux in X : done |
| 411 |
ENDIF |
| 412 |
|
| 413 |
C- Update the local tracer field where needed: |
| 414 |
|
| 415 |
C update in overlap-Only |
| 416 |
IF ( overlapOnly ) THEN |
| 417 |
iMinUpd = 1-Olx+1 |
| 418 |
iMaxUpd = sNx+Olx-1 |
| 419 |
C- notes: these 2 lines below have no real effect (because recip_hFac=0 |
| 420 |
C in corner region) but safer to keep them. |
| 421 |
IF ( W_edge ) iMinUpd = 1 |
| 422 |
IF ( E_edge ) iMaxUpd = sNx |
| 423 |
|
| 424 |
IF ( S_edge ) THEN |
| 425 |
DO j=1-Oly,0 |
| 426 |
DO i=iMinUpd,iMaxUpd |
| 427 |
localTij(i,j) = localTij(i,j) |
| 428 |
& -deltaTLev(k)*recip_rhoFacC(k) |
| 429 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 430 |
& *recip_rA(i,j,bi,bj)*recip_deepFac2C(k) |
| 431 |
& *( af(i+1,j)-af(i,j) |
| 432 |
& -tracer(i,j,k,bi,bj)*(uTrans(i+1,j)-uTrans(i,j)) |
| 433 |
& ) |
| 434 |
ENDDO |
| 435 |
ENDDO |
| 436 |
ENDIF |
| 437 |
IF ( N_edge ) THEN |
| 438 |
DO j=sNy+1,sNy+Oly |
| 439 |
DO i=iMinUpd,iMaxUpd |
| 440 |
localTij(i,j) = localTij(i,j) |
| 441 |
& -deltaTLev(k)*recip_rhoFacC(k) |
| 442 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 443 |
& *recip_rA(i,j,bi,bj)*recip_deepFac2C(k) |
| 444 |
& *( af(i+1,j)-af(i,j) |
| 445 |
& -tracer(i,j,k,bi,bj)*(uTrans(i+1,j)-uTrans(i,j)) |
| 446 |
& ) |
| 447 |
ENDDO |
| 448 |
ENDDO |
| 449 |
ENDIF |
| 450 |
|
| 451 |
ELSE |
| 452 |
C do not only update the overlap |
| 453 |
jMinUpd = 1-Oly |
| 454 |
jMaxUpd = sNy+Oly |
| 455 |
IF ( interiorOnly .AND. S_edge ) jMinUpd = 1 |
| 456 |
IF ( interiorOnly .AND. N_edge ) jMaxUpd = sNy |
| 457 |
DO j=jMinUpd,jMaxUpd |
| 458 |
DO i=1-Olx+1,sNx+Olx-1 |
| 459 |
localTij(i,j) = localTij(i,j) |
| 460 |
& -deltaTLev(k)*recip_rhoFacC(k) |
| 461 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 462 |
& *recip_rA(i,j,bi,bj)*recip_deepFac2C(k) |
| 463 |
& *( af(i+1,j)-af(i,j) |
| 464 |
& -tracer(i,j,k,bi,bj)*(uTrans(i+1,j)-uTrans(i,j)) |
| 465 |
& ) |
| 466 |
ENDDO |
| 467 |
ENDDO |
| 468 |
C- keep advective flux (for diagnostics) |
| 469 |
DO j=1-Oly,sNy+Oly |
| 470 |
DO i=1-Olx,sNx+Olx |
| 471 |
afx(i,j) = af(i,j) |
| 472 |
ENDDO |
| 473 |
ENDDO |
| 474 |
|
| 475 |
#ifdef ALLOW_OBCS |
| 476 |
C- Apply open boundary conditions |
| 477 |
IF ( useOBCS ) THEN |
| 478 |
IF (tracerIdentity.EQ.GAD_TEMPERATURE) THEN |
| 479 |
CALL OBCS_APPLY_TLOC( bi, bj, k, localTij, myThid ) |
| 480 |
ELSEIF (tracerIdentity.EQ.GAD_SALINITY) THEN |
| 481 |
CALL OBCS_APPLY_SLOC( bi, bj, k, localTij, myThid ) |
| 482 |
#ifdef ALLOW_PTRACERS |
| 483 |
ELSEIF (tracerIdentity.GE.GAD_TR1) THEN |
| 484 |
CALL OBCS_APPLY_PTRACER( bi, bj, k, |
| 485 |
& tracerIdentity-GAD_TR1+1, localTij, myThid ) |
| 486 |
#endif /* ALLOW_PTRACERS */ |
| 487 |
ENDIF |
| 488 |
ENDIF |
| 489 |
#endif /* ALLOW_OBCS */ |
| 490 |
|
| 491 |
C- end if/else update overlap-Only |
| 492 |
ENDIF |
| 493 |
|
| 494 |
C-- End of X direction |
| 495 |
ENDIF |
| 496 |
|
| 497 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 498 |
C-- Y direction |
| 499 |
cph-test |
| 500 |
C- Advective flux in Y |
| 501 |
DO j=1-Oly,sNy+Oly |
| 502 |
DO i=1-Olx,sNx+Olx |
| 503 |
af(i,j) = 0. |
| 504 |
ENDDO |
| 505 |
ENDDO |
| 506 |
C |
| 507 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 508 |
# ifndef DISABLE_MULTIDIM_ADVECTION |
| 509 |
CADJ STORE localTij(:,:) = |
| 510 |
CADJ & comlev1_bibj_k_gad_pass, key=passkey, kind=isbyte |
| 511 |
CADJ STORE af(:,:) = |
| 512 |
CADJ & comlev1_bibj_k_gad_pass, key=passkey, kind=isbyte |
| 513 |
# endif |
| 514 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 515 |
C |
| 516 |
IF (calc_fluxes_Y) THEN |
| 517 |
|
| 518 |
C- Do not compute fluxes if |
| 519 |
C a) needed in overlap only |
| 520 |
C and b) the overlap of myTile are not cube-face edges |
| 521 |
IF ( .NOT.overlapOnly .OR. E_edge .OR. W_edge ) THEN |
| 522 |
|
| 523 |
C- Internal exchange for calculations in Y |
| 524 |
#ifdef MULTIDIM_OLD_VERSION |
| 525 |
IF ( useCubedSphereExchange ) THEN |
| 526 |
#else |
| 527 |
IF ( overlapOnly ) THEN |
| 528 |
#endif |
| 529 |
CALL FILL_CS_CORNER_TR_RL( 2, .FALSE., |
| 530 |
& localTij, bi,bj, myThid ) |
| 531 |
ENDIF |
| 532 |
|
| 533 |
C- Advective flux in Y |
| 534 |
DO j=1-Oly,sNy+Oly |
| 535 |
DO i=1-Olx,sNx+Olx |
| 536 |
af(i,j) = 0. |
| 537 |
ENDDO |
| 538 |
ENDDO |
| 539 |
|
| 540 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 541 |
#ifndef DISABLE_MULTIDIM_ADVECTION |
| 542 |
CADJ STORE localTij(:,:) = |
| 543 |
CADJ & comlev1_bibj_k_gad_pass, key=passkey, kind=isbyte |
| 544 |
#endif |
| 545 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 546 |
|
| 547 |
IF ( advectionScheme.EQ.ENUM_UPWIND_1RST |
| 548 |
& .OR. advectionScheme.EQ.ENUM_DST2 ) THEN |
| 549 |
CALL GAD_DST2U1_ADV_Y( bi,bj,k, advectionScheme, .TRUE., |
| 550 |
I deltaTLev(k),vTrans,vFld,localTij, |
| 551 |
O af, myThid ) |
| 552 |
ELSEIF (advectionScheme.EQ.ENUM_FLUX_LIMIT) THEN |
| 553 |
CALL GAD_FLUXLIMIT_ADV_Y( bi,bj,k, .TRUE., deltaTLev(k), |
| 554 |
I vTrans, vFld, maskLocS, localTij, |
| 555 |
O af, myThid ) |
| 556 |
ELSEIF (advectionScheme.EQ.ENUM_DST3 ) THEN |
| 557 |
CALL GAD_DST3_ADV_Y( bi,bj,k, .TRUE., deltaTLev(k), |
| 558 |
I vTrans, vFld, maskLocS, localTij, |
| 559 |
O af, myThid ) |
| 560 |
ELSEIF (advectionScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
| 561 |
CALL GAD_DST3FL_ADV_Y( bi,bj,k, .TRUE., deltaTLev(k), |
| 562 |
I vTrans, vFld, maskLocS, localTij, |
| 563 |
O af, myThid ) |
| 564 |
#ifndef ALLOW_AUTODIFF_TAMC |
| 565 |
ELSEIF (advectionScheme.EQ.ENUM_OS7MP ) THEN |
| 566 |
CALL GAD_OS7MP_ADV_Y( bi,bj,k, .TRUE., deltaTLev(k), |
| 567 |
I vTrans, vFld, maskLocS, localTij, |
| 568 |
O af, myThid ) |
| 569 |
#endif |
| 570 |
ELSE |
| 571 |
STOP 'GAD_ADVECTION: adv. scheme incompatibale with mutli-dim' |
| 572 |
ENDIF |
| 573 |
|
| 574 |
C- Internal exchange for next calculations in X |
| 575 |
IF ( overlapOnly .AND. ipass.EQ.1 ) THEN |
| 576 |
CALL FILL_CS_CORNER_TR_RL( 1, .FALSE., |
| 577 |
& localTij, bi,bj, myThid ) |
| 578 |
ENDIF |
| 579 |
|
| 580 |
C- Advective flux in Y : done |
| 581 |
ENDIF |
| 582 |
|
| 583 |
C- Update the local tracer field where needed: |
| 584 |
|
| 585 |
C update in overlap-Only |
| 586 |
IF ( overlapOnly ) THEN |
| 587 |
jMinUpd = 1-Oly+1 |
| 588 |
jMaxUpd = sNy+Oly-1 |
| 589 |
C- notes: these 2 lines below have no real effect (because recip_hFac=0 |
| 590 |
C in corner region) but safer to keep them. |
| 591 |
IF ( S_edge ) jMinUpd = 1 |
| 592 |
IF ( N_edge ) jMaxUpd = sNy |
| 593 |
|
| 594 |
IF ( W_edge ) THEN |
| 595 |
DO j=jMinUpd,jMaxUpd |
| 596 |
DO i=1-Olx,0 |
| 597 |
localTij(i,j) = localTij(i,j) |
| 598 |
& -deltaTLev(k)*recip_rhoFacC(k) |
| 599 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 600 |
& *recip_rA(i,j,bi,bj)*recip_deepFac2C(k) |
| 601 |
& *( af(i,j+1)-af(i,j) |
| 602 |
& -tracer(i,j,k,bi,bj)*(vTrans(i,j+1)-vTrans(i,j)) |
| 603 |
& ) |
| 604 |
ENDDO |
| 605 |
ENDDO |
| 606 |
ENDIF |
| 607 |
IF ( E_edge ) THEN |
| 608 |
DO j=jMinUpd,jMaxUpd |
| 609 |
DO i=sNx+1,sNx+Olx |
| 610 |
localTij(i,j) = localTij(i,j) |
| 611 |
& -deltaTLev(k)*recip_rhoFacC(k) |
| 612 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 613 |
& *recip_rA(i,j,bi,bj)*recip_deepFac2C(k) |
| 614 |
& *( af(i,j+1)-af(i,j) |
| 615 |
& -tracer(i,j,k,bi,bj)*(vTrans(i,j+1)-vTrans(i,j)) |
| 616 |
& ) |
| 617 |
ENDDO |
| 618 |
ENDDO |
| 619 |
ENDIF |
| 620 |
|
| 621 |
ELSE |
| 622 |
C do not only update the overlap |
| 623 |
iMinUpd = 1-Olx |
| 624 |
iMaxUpd = sNx+Olx |
| 625 |
IF ( interiorOnly .AND. W_edge ) iMinUpd = 1 |
| 626 |
IF ( interiorOnly .AND. E_edge ) iMaxUpd = sNx |
| 627 |
DO j=1-Oly+1,sNy+Oly-1 |
| 628 |
DO i=iMinUpd,iMaxUpd |
| 629 |
localTij(i,j) = localTij(i,j) |
| 630 |
& -deltaTLev(k)*recip_rhoFacC(k) |
| 631 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 632 |
& *recip_rA(i,j,bi,bj)*recip_deepFac2C(k) |
| 633 |
& *( af(i,j+1)-af(i,j) |
| 634 |
& -tracer(i,j,k,bi,bj)*(vTrans(i,j+1)-vTrans(i,j)) |
| 635 |
& ) |
| 636 |
ENDDO |
| 637 |
ENDDO |
| 638 |
C- keep advective flux (for diagnostics) |
| 639 |
DO j=1-Oly,sNy+Oly |
| 640 |
DO i=1-Olx,sNx+Olx |
| 641 |
afy(i,j) = af(i,j) |
| 642 |
ENDDO |
| 643 |
ENDDO |
| 644 |
|
| 645 |
#ifdef ALLOW_OBCS |
| 646 |
C- Apply open boundary conditions |
| 647 |
IF (useOBCS) THEN |
| 648 |
IF (tracerIdentity.EQ.GAD_TEMPERATURE) THEN |
| 649 |
CALL OBCS_APPLY_TLOC( bi, bj, k, localTij, myThid ) |
| 650 |
ELSEIF (tracerIdentity.EQ.GAD_SALINITY) THEN |
| 651 |
CALL OBCS_APPLY_SLOC( bi, bj, k, localTij, myThid ) |
| 652 |
#ifdef ALLOW_PTRACERS |
| 653 |
ELSEIF (tracerIdentity.GE.GAD_TR1) THEN |
| 654 |
CALL OBCS_APPLY_PTRACER( bi, bj, k, |
| 655 |
& tracerIdentity-GAD_TR1+1, localTij, myThid ) |
| 656 |
#endif /* ALLOW_PTRACERS */ |
| 657 |
ENDIF |
| 658 |
ENDIF |
| 659 |
#endif /* ALLOW_OBCS */ |
| 660 |
|
| 661 |
C end if/else update overlap-Only |
| 662 |
ENDIF |
| 663 |
|
| 664 |
C-- End of Y direction |
| 665 |
ENDIF |
| 666 |
|
| 667 |
C-- End of ipass loop |
| 668 |
ENDDO |
| 669 |
|
| 670 |
IF ( implicitAdvection ) THEN |
| 671 |
C- explicit advection is done ; store tendency in gTracer: |
| 672 |
DO j=1-Oly,sNy+Oly |
| 673 |
DO i=1-Olx,sNx+Olx |
| 674 |
gTracer(i,j,k,bi,bj)= |
| 675 |
& (localTij(i,j)-tracer(i,j,k,bi,bj))/deltaTLev(k) |
| 676 |
ENDDO |
| 677 |
ENDDO |
| 678 |
ELSE |
| 679 |
C- horizontal advection done; store intermediate result in 3D array: |
| 680 |
DO j=1-Oly,sNy+Oly |
| 681 |
DO i=1-Olx,sNx+Olx |
| 682 |
localTijk(i,j,k)=localTij(i,j) |
| 683 |
ENDDO |
| 684 |
ENDDO |
| 685 |
ENDIF |
| 686 |
|
| 687 |
#ifdef ALLOW_DIAGNOSTICS |
| 688 |
IF ( doDiagAdvX ) THEN |
| 689 |
diagName = 'ADVx'//diagSufx |
| 690 |
CALL DIAGNOSTICS_FILL(afx,diagName, k,1, 2,bi,bj, myThid) |
| 691 |
ENDIF |
| 692 |
IF ( doDiagAdvY ) THEN |
| 693 |
diagName = 'ADVy'//diagSufx |
| 694 |
CALL DIAGNOSTICS_FILL(afy,diagName, k,1, 2,bi,bj, myThid) |
| 695 |
ENDIF |
| 696 |
#endif |
| 697 |
|
| 698 |
#ifdef ALLOW_DEBUG |
| 699 |
IF ( debugLevel .GE. debLevB |
| 700 |
& .AND. tracerIdentity.EQ.GAD_TEMPERATURE |
| 701 |
& .AND. k.LE.3 .AND. myIter.EQ.1+nIter0 |
| 702 |
& .AND. nPx.EQ.1 .AND. nPy.EQ.1 |
| 703 |
& .AND. useCubedSphereExchange ) THEN |
| 704 |
CALL DEBUG_CS_CORNER_UV( ' afx,afy from GAD_ADVECTION', |
| 705 |
& afx,afy, k, standardMessageUnit,bi,bj,myThid ) |
| 706 |
ENDIF |
| 707 |
#endif /* ALLOW_DEBUG */ |
| 708 |
|
| 709 |
C-- End of K loop for horizontal fluxes |
| 710 |
ENDDO |
| 711 |
|
| 712 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 713 |
|
| 714 |
IF ( .NOT.implicitAdvection ) THEN |
| 715 |
C-- Start of k loop for vertical flux |
| 716 |
DO k=Nr,1,-1 |
| 717 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 718 |
kkey = (igadkey-1)*Nr + (Nr-k+1) |
| 719 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 720 |
C-- kUp Cycles through 1,2 to point to w-layer above |
| 721 |
C-- kDown Cycles through 2,1 to point to w-layer below |
| 722 |
kUp = 1+MOD(k+1,2) |
| 723 |
kDown= 1+MOD(k,2) |
| 724 |
c kp1=min(Nr,k+1) |
| 725 |
kp1Msk=1. |
| 726 |
if (k.EQ.Nr) kp1Msk=0. |
| 727 |
|
| 728 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 729 |
CADJ STORE rtrans(:,:) = |
| 730 |
CADJ & comlev1_bibj_k_gad, key=kkey, kind=isbyte |
| 731 |
cphCADJ STORE wfld(:,:) = |
| 732 |
cphCADJ & comlev1_bibj_k_gad, key=kkey, kind=isbyte |
| 733 |
#endif |
| 734 |
|
| 735 |
C-- Compute Vertical transport |
| 736 |
#ifdef ALLOW_AIM |
| 737 |
C- a hack to prevent Water-Vapor vert.transport into the stratospheric level Nr |
| 738 |
IF ( k.EQ.1 .OR. |
| 739 |
& (useAIM .AND. tracerIdentity.EQ.GAD_SALINITY .AND. k.EQ.Nr) |
| 740 |
& ) THEN |
| 741 |
#else |
| 742 |
IF ( k.EQ.1 ) THEN |
| 743 |
#endif |
| 744 |
|
| 745 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 746 |
cphmultiCADJ STORE wfld(:,:) = |
| 747 |
cphmultiCADJ & comlev1_bibj_k_gad, key=kkey, kind=isbyte |
| 748 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 749 |
|
| 750 |
C- Surface interface : |
| 751 |
DO j=1-Oly,sNy+Oly |
| 752 |
DO i=1-Olx,sNx+Olx |
| 753 |
rTransKp1(i,j) = kp1Msk*rTrans(i,j) |
| 754 |
wFld(i,j) = 0. |
| 755 |
rTrans(i,j) = 0. |
| 756 |
fVerT(i,j,kUp) = 0. |
| 757 |
ENDDO |
| 758 |
ENDDO |
| 759 |
|
| 760 |
ELSE |
| 761 |
|
| 762 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 763 |
cphmultiCADJ STORE wfld(:,:) = |
| 764 |
cphmultiCADJ & comlev1_bibj_k_gad, key=kkey, kind=isbyte |
| 765 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 766 |
|
| 767 |
C- Interior interface : |
| 768 |
DO j=1-Oly,sNy+Oly |
| 769 |
DO i=1-Olx,sNx+Olx |
| 770 |
rTransKp1(i,j) = kp1Msk*rTrans(i,j) |
| 771 |
wFld(i,j) = wVel(i,j,k,bi,bj) |
| 772 |
rTrans(i,j) = wVel(i,j,k,bi,bj)*rA(i,j,bi,bj) |
| 773 |
& *deepFac2F(k)*rhoFacF(k) |
| 774 |
& *maskC(i,j,k-1,bi,bj) |
| 775 |
fVerT(i,j,kUp) = 0. |
| 776 |
ENDDO |
| 777 |
ENDDO |
| 778 |
|
| 779 |
#ifdef ALLOW_GMREDI |
| 780 |
C-- Residual transp = Bolus transp + Eulerian transp |
| 781 |
IF (useGMRedi) |
| 782 |
& CALL GMREDI_CALC_WFLOW( |
| 783 |
U wFld, rTrans, |
| 784 |
I k, bi, bj, myThid ) |
| 785 |
#endif /* ALLOW_GMREDI */ |
| 786 |
|
| 787 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 788 |
cphmultiCADJ STORE localTijk(:,:,k) |
| 789 |
cphmultiCADJ & = comlev1_bibj_k_gad, key=kkey, kind=isbyte |
| 790 |
cphmultiCADJ STORE rTrans(:,:) |
| 791 |
cphmultiCADJ & = comlev1_bibj_k_gad, key=kkey, kind=isbyte |
| 792 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 793 |
|
| 794 |
C- Compute vertical advective flux in the interior: |
| 795 |
IF ( vertAdvecScheme.EQ.ENUM_UPWIND_1RST |
| 796 |
& .OR. vertAdvecScheme.EQ.ENUM_DST2 ) THEN |
| 797 |
CALL GAD_DST2U1_ADV_R( bi,bj,k, advectionScheme, |
| 798 |
I deltaTLev(k),rTrans,wFld,localTijk, |
| 799 |
O fVerT(1-Olx,1-Oly,kUp), myThid ) |
| 800 |
ELSEIF( vertAdvecScheme.EQ.ENUM_FLUX_LIMIT) THEN |
| 801 |
CALL GAD_FLUXLIMIT_ADV_R( bi,bj,k, deltaTLev(k), |
| 802 |
I rTrans, wFld, localTijk, |
| 803 |
O fVerT(1-Olx,1-Oly,kUp), myThid ) |
| 804 |
ELSEIF( vertAdvecScheme.EQ.ENUM_DST3 ) THEN |
| 805 |
CALL GAD_DST3_ADV_R( bi,bj,k, deltaTLev(k), |
| 806 |
I rTrans, wFld, localTijk, |
| 807 |
O fVerT(1-Olx,1-Oly,kUp), myThid ) |
| 808 |
ELSEIF( vertAdvecScheme.EQ.ENUM_DST3_FLUX_LIMIT ) THEN |
| 809 |
CALL GAD_DST3FL_ADV_R( bi,bj,k, deltaTLev(k), |
| 810 |
I rTrans, wFld, localTijk, |
| 811 |
O fVerT(1-Olx,1-Oly,kUp), myThid ) |
| 812 |
#ifndef ALLOW_AUTODIFF_TAMC |
| 813 |
ELSEIF (vertAdvecScheme.EQ.ENUM_OS7MP ) THEN |
| 814 |
CALL GAD_OS7MP_ADV_R( bi,bj,k, deltaTLev(k), |
| 815 |
I rTrans, wFld, localTijk, |
| 816 |
O fVerT(1-Olx,1-Oly,kUp), myThid ) |
| 817 |
#endif |
| 818 |
ELSE |
| 819 |
STOP 'GAD_ADVECTION: adv. scheme incompatibale with mutli-dim' |
| 820 |
ENDIF |
| 821 |
|
| 822 |
C- end Surface/Interior if bloc |
| 823 |
ENDIF |
| 824 |
|
| 825 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 826 |
cphmultiCADJ STORE rTrans(:,:) |
| 827 |
cphmultiCADJ & = comlev1_bibj_k_gad, key=kkey, kind=isbyte |
| 828 |
cphmultiCADJ STORE rTranskp1(:,:) |
| 829 |
cphmultiCADJ & = comlev1_bibj_k_gad, key=kkey, kind=isbyte |
| 830 |
cph --- following storing of fVerT is critical for correct |
| 831 |
cph --- gradient with multiDimAdvection |
| 832 |
cph --- Without it, kDown component is not properly recomputed |
| 833 |
cph --- This is a TAF bug (and no warning available) |
| 834 |
CADJ STORE fVerT(:,:,:) |
| 835 |
CADJ & = comlev1_bibj_k_gad, key=kkey, kind=isbyte |
| 836 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 837 |
|
| 838 |
C-- Divergence of vertical fluxes |
| 839 |
DO j=1-Oly,sNy+Oly |
| 840 |
DO i=1-Olx,sNx+Olx |
| 841 |
localTij(i,j) = localTijk(i,j,k) |
| 842 |
& -deltaTLev(k)*recip_rhoFacC(k) |
| 843 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 844 |
& *recip_rA(i,j,bi,bj)*recip_deepFac2C(k) |
| 845 |
& *( fVerT(i,j,kDown)-fVerT(i,j,kUp) |
| 846 |
& -tracer(i,j,k,bi,bj)*(rTransKp1(i,j)-rTrans(i,j)) |
| 847 |
& )*rkSign |
| 848 |
gTracer(i,j,k,bi,bj)= |
| 849 |
& (localTij(i,j)-tracer(i,j,k,bi,bj))/deltaTLev(k) |
| 850 |
ENDDO |
| 851 |
ENDDO |
| 852 |
|
| 853 |
#ifdef ALLOW_DIAGNOSTICS |
| 854 |
IF ( doDiagAdvR ) THEN |
| 855 |
diagName = 'ADVr'//diagSufx |
| 856 |
CALL DIAGNOSTICS_FILL( fVerT(1-Olx,1-Oly,kUp), |
| 857 |
& diagName, k,1, 2,bi,bj, myThid) |
| 858 |
ENDIF |
| 859 |
#endif |
| 860 |
|
| 861 |
C-- End of K loop for vertical flux |
| 862 |
ENDDO |
| 863 |
C-- end of if not.implicitAdvection block |
| 864 |
ENDIF |
| 865 |
|
| 866 |
RETURN |
| 867 |
END |
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