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C $Header: /u/gcmpack/MITgcm_contrib/atnguyen/code_21Dec2012_saltplume/temp_integrate.F,v 1.2 2014/04/29 06:49:40 atn Exp $ |
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C $Name: $ |
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|
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#include "PACKAGES_CONFIG.h" |
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#include "CPP_OPTIONS.h" |
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#ifdef ALLOW_AUTODIFF |
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# include "AUTODIFF_OPTIONS.h" |
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#endif |
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#ifdef ALLOW_GENERIC_ADVDIFF |
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# include "GAD_OPTIONS.h" |
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#endif |
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#ifdef ALLOW_SALT_PLUME |
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# include "SALT_PLUME_OPTIONS.h" |
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#endif |
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|
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CBOP |
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C !ROUTINE: TEMP_INTEGRATE |
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C !INTERFACE: |
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SUBROUTINE TEMP_INTEGRATE( |
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I bi, bj, recip_hFac, |
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I uFld, vFld, wFld, |
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U KappaRk, |
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I myTime, myIter, myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE TEMP_INTEGRATE |
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C | o Calculate tendency for temperature |
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C | and integrates forward in time. |
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C *==========================================================* |
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C | A procedure called EXTERNAL_FORCING_T is called from |
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C | here. These procedures can be used to add per problem |
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C | heat flux source terms. |
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C | Note: Although it is slightly counter-intuitive the |
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C | EXTERNAL_FORCING routine is not the place to put |
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C | file I/O. Instead files that are required to |
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C | calculate the external source terms are generally |
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C | read during the model main loop. This makes the |
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C | logistics of multi-processing simpler and also |
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C | makes the adjoint generation simpler. It also |
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C | allows for I/O to overlap computation where that |
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C | is supported by hardware. |
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C | Aside from the problem specific term the code here |
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C | forms the tendency terms due to advection and mixing |
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C | The baseline implementation here uses a centered |
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C | difference form for the advection term and a tensorial |
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C | divergence of a flux form for the diffusive term. The |
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C | diffusive term is formulated so that isopycnal mixing |
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C | and GM-style subgrid-scale terms can be incorporated by |
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C | simply setting the diffusion tensor terms appropriately. |
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C *==========================================================* |
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C \ev |
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|
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C !USES: |
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IMPLICIT NONE |
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C == GLobal variables == |
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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 "DYNVARS.h" |
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#include "RESTART.h" |
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#ifdef ALLOW_GENERIC_ADVDIFF |
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# include "GAD.h" |
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# include "GAD_SOM_VARS.h" |
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#endif |
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#ifdef ALLOW_TIMEAVE |
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# include "TIMEAVE_STATV.h" |
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#endif |
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#ifdef ALLOW_AUTODIFF |
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# include "tamc.h" |
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# include "tamc_keys.h" |
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#endif |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
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C bi, bj, :: tile indices |
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C recip_hFac :: reciprocal of cell open-depth factor (@ next iter) |
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C uFld,vFld :: Local copy of horizontal velocity field |
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C wFld :: Local copy of vertical velocity field |
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C KappaRk :: Vertical diffusion for Tempertature |
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C myTime :: current time |
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C myIter :: current iteration number |
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C myThid :: my Thread Id. number |
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INTEGER bi, bj |
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_RS recip_hFac(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL uFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL vFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL wFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL KappaRk (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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CEOP |
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|
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#ifdef ALLOW_GENERIC_ADVDIFF |
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C !LOCAL VARIABLES: |
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C iMin, iMax :: 1rst index loop range |
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C jMin, jMax :: 2nd index loop range |
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C k :: vertical index |
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C kM1 :: =k-1 for k>1, =1 for k=1 |
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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 xA :: Tracer cell face area normal to X |
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C yA :: Tracer cell face area normal to X |
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C maskUp :: Land/water mask for Wvel points (interface k) |
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C uTrans :: Zonal volume transport through cell face |
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C vTrans :: Meridional volume transport through cell face |
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C rTrans :: Vertical volume transport at interface k |
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C rTransKp :: Vertical volume transport at inteface k+1 |
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C fZon :: Flux of temperature (T) in the zonal direction |
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C fMer :: Flux of temperature (T) in the meridional direction |
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C fVer :: Flux of temperature (T) in the vertical direction |
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C at the upper(U) and lower(D) faces of a cell. |
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C useVariableK :: T when vertical diffusion is not constant |
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INTEGER iMin, iMax, jMin, jMax |
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INTEGER i, j, k |
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INTEGER 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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_RS maskUp (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 rTransKp(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 fVer (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL gt_AB (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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LOGICAL calcAdvection |
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INTEGER iterNb |
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#ifdef ALLOW_ADAMSBASHFORTH_3 |
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INTEGER m1, m2 |
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#endif |
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#ifdef ALLOW_TIMEAVE |
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LOGICAL useVariableK |
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#endif |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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C- Loop ranges for daughter routines |
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iMin = 1-OLx+2 |
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iMax = sNx+OLx-1 |
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jMin = 1-OLy+2 |
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jMax = sNy+OLy-1 |
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|
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iterNb = myIter |
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IF (staggerTimeStep) iterNb = myIter - 1 |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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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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itdkey = (act1 + 1) + act2*max1 |
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& + act3*max1*max2 |
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& + act4*max1*max2*max3 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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C- Tracer tendency needs to be set to zero (moved here from gad_calc_rhs): |
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DO k=1,Nr |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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gT(i,j,k,bi,bj) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ENDDO |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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fVer(i,j,1) = 0. _d 0 |
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fVer(i,j,2) = 0. _d 0 |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF |
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DO k=1,Nr |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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kappaRk(i,j,k) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ENDDO |
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CADJ STORE theta(:,:,:,bi,bj) = comlev1_bibj , key=itdkey, byte=isbyte |
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CADJ STORE wFld(:,:,:) = comlev1_bibj , key=itdkey, byte=isbyte |
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#endif /* ALLOW_AUTODIFF */ |
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|
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#ifdef INCLUDE_CALC_DIFFUSIVITY_CALL |
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CALL CALC_3D_DIFFUSIVITY( |
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I bi, bj, iMin, iMax, jMin, jMax, |
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I GAD_TEMPERATURE, useGMredi, useKPP, |
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O kappaRk, |
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I myThid ) |
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#endif /* INCLUDE_CALC_DIFFUSIVITY_CALL */ |
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|
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#ifndef DISABLE_MULTIDIM_ADVECTION |
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C-- Some advection schemes are better calculated using a multi-dimensional |
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C method in the absence of any other terms and, if used, is done here. |
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C |
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C The CPP flag DISABLE_MULTIDIM_ADVECTION is currently unset in GAD_OPTIONS.h |
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C The default is to use multi-dimensinal advection for non-linear advection |
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C schemes. However, for the sake of efficiency of the adjoint it is necessary |
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C to be able to exclude this scheme to avoid excessive storage and |
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C recomputation. It *is* differentiable, if you need it. |
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C Edit GAD_OPTIONS.h and #define DISABLE_MULTIDIM_ADVECTION to |
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C disable this section of code. |
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#ifdef GAD_ALLOW_TS_SOM_ADV |
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# ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE som_T = comlev1_bibj, key=itdkey, byte=isbyte |
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# endif |
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IF ( tempSOM_Advection ) THEN |
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# ifdef ALLOW_DEBUG |
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IF (debugMode) CALL DEBUG_CALL('GAD_SOM_ADVECT',myThid) |
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# endif |
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CALL GAD_SOM_ADVECT( |
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I tempImplVertAdv, tempAdvScheme, tempVertAdvScheme, |
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I GAD_TEMPERATURE, dTtracerLev, |
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I uFld, vFld, wFld, theta, |
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U som_T, |
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O gT, |
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I bi, bj, myTime, myIter, myThid ) |
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ELSEIF (tempMultiDimAdvec) THEN |
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#else /* GAD_ALLOW_TS_SOM_ADV */ |
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IF (tempMultiDimAdvec) THEN |
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#endif /* GAD_ALLOW_TS_SOM_ADV */ |
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# ifdef ALLOW_DEBUG |
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IF (debugMode) CALL DEBUG_CALL('GAD_ADVECTION',myThid) |
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# endif |
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CALL GAD_ADVECTION( |
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I tempImplVertAdv, tempAdvScheme, tempVertAdvScheme, |
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I GAD_TEMPERATURE, dTtracerLev, |
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I uFld, vFld, wFld, theta, |
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O gT, |
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I bi, bj, myTime, myIter, myThid ) |
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ENDIF |
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#endif /* DISABLE_MULTIDIM_ADVECTION */ |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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C- Start vertical index (k) loop (Nr:1) |
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calcAdvection = tempAdvection .AND. .NOT.tempMultiDimAdvec |
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DO k=Nr,1,-1 |
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#ifdef ALLOW_AUTODIFF_TAMC |
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kkey = (itdkey-1)*Nr + k |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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kM1 = MAX(1,k-1) |
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kUp = 1+MOD(k+1,2) |
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kDown= 1+MOD(k,2) |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE fVer(:,:,:) = comlev1_bibj_k, key=kkey, |
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CADJ & byte=isbyte, kind = isbyte |
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CADJ STORE gT(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, |
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CADJ & byte=isbyte, kind = isbyte |
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# ifdef ALLOW_ADAMSBASHFORTH_3 |
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CADJ STORE gtNm(:,:,k,bi,bj,1) = comlev1_bibj_k, key=kkey, |
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CADJ & byte=isbyte, kind = isbyte |
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CADJ STORE gtNm(:,:,k,bi,bj,2) = comlev1_bibj_k, key=kkey, |
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CADJ & byte=isbyte, kind = isbyte |
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# else |
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CADJ STORE gtNm1(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, |
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CADJ & byte=isbyte, kind = isbyte |
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# endif |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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CALL CALC_ADV_FLOW( |
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I uFld, vFld, wFld, |
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U rTrans, |
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O uTrans, vTrans, rTransKp, |
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O maskUp, xA, yA, |
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I k, bi, bj, myThid ) |
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|
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#ifdef ALLOW_ADAMSBASHFORTH_3 |
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m1 = 1 + MOD(iterNb+1,2) |
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m2 = 1 + MOD( iterNb ,2) |
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CALL GAD_CALC_RHS( |
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I bi, bj, iMin,iMax,jMin,jMax, k, kM1, kUp, kDown, |
| 277 |
I xA, yA, maskUp, uFld(1-OLx,1-OLy,k), |
| 278 |
I vFld(1-OLx,1-OLy,k), wFld(1-OLx,1-OLy,k), |
| 279 |
I uTrans, vTrans, rTrans, rTransKp, |
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I diffKhT, diffK4T, KappaRk(1-OLx,1-OLy,k), diffKr4T, |
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I gtNm(1-OLx,1-OLy,1,1,1,m2), theta, dTtracerLev, |
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I GAD_TEMPERATURE, tempAdvScheme, tempVertAdvScheme, |
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I calcAdvection, tempImplVertAdv, AdamsBashforth_T, |
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I tempVertDiff4, useGMRedi, useKPP, |
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O fZon, fMer, |
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U fVer, gT, |
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I myTime, myIter, myThid ) |
| 288 |
#else /* ALLOW_ADAMSBASHFORTH_3 */ |
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CALL GAD_CALC_RHS( |
| 290 |
I bi, bj, iMin,iMax,jMin,jMax, k, kM1, kUp, kDown, |
| 291 |
I xA, yA, maskUp, uFld(1-OLx,1-OLy,k), |
| 292 |
I vFld(1-OLx,1-OLy,k), wFld(1-OLx,1-OLy,k), |
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I uTrans, vTrans, rTrans, rTransKp, |
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I diffKhT, diffK4T, KappaRk(1-OLx,1-OLy,k), diffKr4T, |
| 295 |
I gtNm1, theta, dTtracerLev, |
| 296 |
I GAD_TEMPERATURE, tempAdvScheme, tempVertAdvScheme, |
| 297 |
I calcAdvection, tempImplVertAdv, AdamsBashforth_T, |
| 298 |
I tempVertDiff4, useGMRedi, useKPP, |
| 299 |
O fZon, fMer, |
| 300 |
U fVer, gT, |
| 301 |
I myTime, myIter, myThid ) |
| 302 |
#endif |
| 303 |
|
| 304 |
C-- External thermal forcing term(s) inside Adams-Bashforth: |
| 305 |
IF ( tempForcing .AND. tracForcingOutAB.NE.1 ) |
| 306 |
& CALL EXTERNAL_FORCING_T( |
| 307 |
I iMin, iMax, jMin, jMax, bi, bj, k, |
| 308 |
I myTime, myThid ) |
| 309 |
|
| 310 |
IF ( AdamsBashforthGt ) THEN |
| 311 |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 312 |
CALL ADAMS_BASHFORTH3( |
| 313 |
I bi, bj, k, Nr, |
| 314 |
U gT, gtNm, gt_AB, |
| 315 |
I tempStartAB, iterNb, myThid ) |
| 316 |
#else |
| 317 |
CALL ADAMS_BASHFORTH2( |
| 318 |
I bi, bj, k, Nr, |
| 319 |
U gT, gtNm1, gt_AB, |
| 320 |
I tempStartAB, iterNb, myThid ) |
| 321 |
#endif |
| 322 |
#ifdef ALLOW_DIAGNOSTICS |
| 323 |
IF ( useDiagnostics ) THEN |
| 324 |
CALL DIAGNOSTICS_FILL(gt_AB,'AB_gT ',k,1,2,bi,bj,myThid) |
| 325 |
ENDIF |
| 326 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 327 |
ENDIF |
| 328 |
|
| 329 |
C-- External thermal forcing term(s) outside Adams-Bashforth: |
| 330 |
IF ( tempForcing .AND. tracForcingOutAB.EQ.1 ) |
| 331 |
& CALL EXTERNAL_FORCING_T( |
| 332 |
I iMin, iMax, jMin, jMax, bi, bj, k, |
| 333 |
I myTime, myThid ) |
| 334 |
|
| 335 |
#ifdef NONLIN_FRSURF |
| 336 |
IF (nonlinFreeSurf.GT.0) THEN |
| 337 |
CALL FREESURF_RESCALE_G( |
| 338 |
I bi, bj, k, |
| 339 |
U gT, |
| 340 |
I myThid ) |
| 341 |
IF ( AdamsBashforthGt ) THEN |
| 342 |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 343 |
# ifdef ALLOW_AUTODIFF_TAMC |
| 344 |
CADJ STORE gtNm(:,:,k,bi,bj,1) = comlev1_bibj_k, key=kkey, |
| 345 |
CADJ & byte=isbyte, kind = isbyte |
| 346 |
CADJ STORE gtNm(:,:,k,bi,bj,2) = comlev1_bibj_k, key=kkey, |
| 347 |
CADJ & byte=isbyte, kind = isbyte |
| 348 |
# endif |
| 349 |
CALL FREESURF_RESCALE_G( |
| 350 |
I bi, bj, k, |
| 351 |
U gtNm(1-OLx,1-OLy,1,1,1,1), |
| 352 |
I myThid ) |
| 353 |
CALL FREESURF_RESCALE_G( |
| 354 |
I bi, bj, k, |
| 355 |
U gtNm(1-OLx,1-OLy,1,1,1,2), |
| 356 |
I myThid ) |
| 357 |
#else |
| 358 |
CALL FREESURF_RESCALE_G( |
| 359 |
I bi, bj, k, |
| 360 |
U gtNm1, |
| 361 |
I myThid ) |
| 362 |
#endif |
| 363 |
ENDIF |
| 364 |
ENDIF |
| 365 |
#endif /* NONLIN_FRSURF */ |
| 366 |
|
| 367 |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 368 |
IF ( AdamsBashforth_T ) THEN |
| 369 |
CALL TIMESTEP_TRACER( |
| 370 |
I bi, bj, k, dTtracerLev(k), |
| 371 |
I gtNm(1-OLx,1-OLy,1,1,1,m2), |
| 372 |
U gT, |
| 373 |
I myIter, myThid ) |
| 374 |
ELSE |
| 375 |
#endif |
| 376 |
CALL TIMESTEP_TRACER( |
| 377 |
I bi, bj, k, dTtracerLev(k), |
| 378 |
I theta, |
| 379 |
U gT, |
| 380 |
I myIter, myThid ) |
| 381 |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 382 |
ENDIF |
| 383 |
#endif |
| 384 |
|
| 385 |
C- end of vertical index (k) loop (Nr:1) |
| 386 |
ENDDO |
| 387 |
|
| 388 |
#ifdef ALLOW_SALT_PLUME |
| 389 |
#ifdef SALT_PLUME_VOLUME |
| 390 |
IF ( useSALT_PLUME ) THEN |
| 391 |
IF ( usingZCoords ) THEN |
| 392 |
CALL SALT_PLUME_APPLY( |
| 393 |
I 1, bi, bj, |
| 394 |
I recip_hFacC, |
| 395 |
I theta,1, |
| 396 |
U gT, |
| 397 |
I myTime, myIter, myThid ) |
| 398 |
ENDIF |
| 399 |
ENDIF |
| 400 |
#endif /* SALT_PLUME_VOLUME */ |
| 401 |
#endif /* ALLOW_SALT_PLUME */ |
| 402 |
|
| 403 |
#ifdef ALLOW_DOWN_SLOPE |
| 404 |
IF ( useDOWN_SLOPE ) THEN |
| 405 |
IF ( usingPCoords ) THEN |
| 406 |
CALL DWNSLP_APPLY( |
| 407 |
I GAD_TEMPERATURE, bi, bj, kSurfC, |
| 408 |
I recip_drF, recip_hFacC, recip_rA, |
| 409 |
I dTtracerLev, |
| 410 |
I theta, |
| 411 |
U gT, |
| 412 |
I myTime, myIter, myThid ) |
| 413 |
ELSE |
| 414 |
CALL DWNSLP_APPLY( |
| 415 |
I GAD_TEMPERATURE, bi, bj, kLowC, |
| 416 |
I recip_drF, recip_hFacC, recip_rA, |
| 417 |
I dTtracerLev, |
| 418 |
I theta, |
| 419 |
U gT, |
| 420 |
I myTime, myIter, myThid ) |
| 421 |
ENDIF |
| 422 |
ENDIF |
| 423 |
#endif /* ALLOW_DOWN_SLOPE */ |
| 424 |
|
| 425 |
iMin = 0 |
| 426 |
iMax = sNx+1 |
| 427 |
jMin = 0 |
| 428 |
jMax = sNy+1 |
| 429 |
|
| 430 |
C-- Implicit vertical advection & diffusion |
| 431 |
|
| 432 |
#ifdef INCLUDE_IMPLVERTADV_CODE |
| 433 |
IF ( tempImplVertAdv ) THEN |
| 434 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 435 |
CADJ STORE kappaRk(:,:,:) = comlev1_bibj , key=itdkey, byte=isbyte |
| 436 |
CADJ STORE gT(:,:,:,bi,bj) = comlev1_bibj , key=itdkey, byte=isbyte |
| 437 |
CADJ STORE wFld(:,:,:) = comlev1_bibj , key=itdkey, byte=isbyte |
| 438 |
CADJ STORE theta(:,:,:,bi,bj) = comlev1_bibj , key=itdkey, byte=isbyte |
| 439 |
CADJ STORE recip_hFac(:,:,:) = comlev1_bibj , key=itdkey, byte=isbyte |
| 440 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 441 |
CALL GAD_IMPLICIT_R( |
| 442 |
I tempImplVertAdv, tempVertAdvScheme, GAD_TEMPERATURE, |
| 443 |
I dTtracerLev, |
| 444 |
I kappaRk, recip_hFac, wFld, theta, |
| 445 |
U gT, |
| 446 |
I bi, bj, myTime, myIter, myThid ) |
| 447 |
ELSEIF ( implicitDiffusion ) THEN |
| 448 |
#else /* INCLUDE_IMPLVERTADV_CODE */ |
| 449 |
IF ( implicitDiffusion ) THEN |
| 450 |
#endif /* INCLUDE_IMPLVERTADV_CODE */ |
| 451 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 452 |
CADJ STORE kappaRk(:,:,:) = comlev1_bibj , key=itdkey, byte=isbyte |
| 453 |
CADJ STORE gT(:,:,:,bi,bj) = comlev1_bibj , key=itdkey, byte=isbyte |
| 454 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 455 |
CALL IMPLDIFF( |
| 456 |
I bi, bj, iMin, iMax, jMin, jMax, |
| 457 |
I GAD_TEMPERATURE, kappaRk, recip_hFac, |
| 458 |
U gT, |
| 459 |
I myThid ) |
| 460 |
ENDIF |
| 461 |
|
| 462 |
#ifdef ALLOW_TIMEAVE |
| 463 |
useVariableK = useKPP .OR. usePP81 .OR. useMY82 .OR. useGGL90 |
| 464 |
& .OR. useGMredi .OR. ivdc_kappa.NE.0. |
| 465 |
IF ( taveFreq.GT.0. .AND. useVariableK |
| 466 |
& .AND.implicitDiffusion ) THEN |
| 467 |
CALL TIMEAVE_CUMUL_DIF_1T(TdiffRtave, gT, kappaRk, |
| 468 |
I Nr, 3, deltaTClock, bi, bj, myThid) |
| 469 |
ENDIF |
| 470 |
#endif /* ALLOW_TIMEAVE */ |
| 471 |
|
| 472 |
#endif /* ALLOW_GENERIC_ADVDIFF */ |
| 473 |
|
| 474 |
RETURN |
| 475 |
END |