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dcarroll |
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C $Header: /u/gcmpack/MITgcm_contrib/ecco_darwin/v4_llc270/code_darwin/ggl90_calc.F,v 1.2 2019/08/24 13:10:27 dcarroll Exp $ |
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C $Name: $ |
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#include "GGL90_OPTIONS.h" |
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CBOP |
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C !ROUTINE: GGL90_CALC |
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C !INTERFACE: ====================================================== |
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SUBROUTINE GGL90_CALC( |
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I bi, bj, sigmaR, myTime, myIter, myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE GGL90_CALC | |
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C | o Compute all GGL90 fields defined in GGL90.h | |
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C *==========================================================* |
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C | Equation numbers refer to | |
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C | Gaspar et al. (1990), JGR 95 (C9), pp 16,179 | |
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C | Some parts of the implementation follow Blanke and | |
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C | Delecuse (1993), JPO, and OPA code, in particular the | |
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C | computation of the | |
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C | mixing length = max(min(lk,depth),lkmin) | |
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C *==========================================================* |
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C global parameters updated by ggl90_calc |
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C GGL90TKE :: sub-grid turbulent kinetic energy (m^2/s^2) |
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C GGL90viscAz :: GGL90 eddy viscosity coefficient (m^2/s) |
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C GGL90diffKzT :: GGL90 diffusion coefficient for temperature (m^2/s) |
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C \ev |
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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 "DYNVARS.h" |
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#include "FFIELDS.h" |
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#include "GRID.h" |
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#include "GGL90.h" |
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C !INPUT PARAMETERS: =================================================== |
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C Routine arguments |
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C bi, bj :: Current tile indices |
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C sigmaR :: Vertical gradient of iso-neutral density |
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C myTime :: Current time in simulation |
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C myIter :: Current time-step number |
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C myThid :: My Thread Id number |
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INTEGER bi, bj |
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_RL sigmaR(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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#ifdef ALLOW_GGL90 |
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C !LOCAL VARIABLES: ==================================================== |
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C Local constants |
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C iMin,iMax,jMin,jMax :: index boundaries of computation domain |
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C i, j, k, kp1,km1 :: array computation indices |
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C kSurf, kBottom :: vertical indices of domain boundaries |
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C hFac/hFacI :: fractional thickness of W-cell |
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C explDissFac :: explicit Dissipation Factor (in [0-1]) |
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C implDissFac :: implicit Dissipation Factor (in [0-1]) |
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C uStarSquare :: square of friction velocity |
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C verticalShear :: (squared) vertical shear of horizontal velocity |
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C Nsquare :: squared buoyancy freqency |
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C RiNumber :: local Richardson number |
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C KappaM :: (local) viscosity parameter (eq.10) |
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C KappaH :: (local) diffusivity parameter for temperature (eq.11) |
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C KappaE :: (local) diffusivity parameter for TKE (eq.15) |
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C TKEdissipation :: dissipation of TKE |
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C GGL90mixingLength:: mixing length of scheme following Banke+Delecuse |
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C rMixingLength:: inverse of mixing length |
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C totalDepth :: thickness of water column (inverse of recip_Rcol) |
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C TKEPrandtlNumber :: here, an empirical function of the Richardson number |
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INTEGER iMin ,iMax ,jMin ,jMax |
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INTEGER i, j, k, kp1, km1, kSurf, kBottom |
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_RL explDissFac, implDissFac |
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_RL uStarSquare |
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_RL verticalShear(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL KappaM(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL KappaH |
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c _RL Nsquare |
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_RL Nsquare(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL deltaTggl90 |
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c _RL SQRTTKE |
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_RL SQRTTKE(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL RiNumber |
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#ifdef ALLOW_GGL90_IDEMIX |
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_RL IDEMIX_RiNumber |
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#endif |
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_RL TKEdissipation |
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_RL tempU, tempUp, tempV, tempVp, prTemp |
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_RL MaxLength, tmpmlx, tmpVisc |
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_RL TKEPrandtlNumber (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL GGL90mixingLength(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL rMixingLength (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL mxLength_Dn (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL KappaE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL totalDepth (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL GGL90visctmp (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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#ifdef ALLOW_DIAGNOSTICS |
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_RL surf_flx_tke (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#endif /* ALLOW_DIAGNOSTICS */ |
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C hFac(I) :: fractional thickness of W-cell |
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_RL hFac |
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#ifdef ALLOW_GGL90_IDEMIX |
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_RL hFacI(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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#endif /* ALLOW_GGL90_IDEMIX */ |
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_RL recip_hFacI(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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C- tri-diagonal matrix |
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_RL a3d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL b3d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL c3d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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INTEGER errCode |
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#ifdef ALLOW_GGL90_HORIZDIFF |
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C xA, yA :: area of lateral faces |
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C dfx, dfy :: diffusive flux across lateral faces |
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C gTKE :: right hand side of diffusion equation |
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_RL xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dfx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dfy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL gTKE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#endif /* ALLOW_GGL90_HORIZDIFF */ |
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#ifdef ALLOW_GGL90_SMOOTH |
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_RL p4, p8, p16 |
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#endif |
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CEOP |
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PARAMETER( iMin = 2-OLx, iMax = sNx+OLx-1 ) |
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PARAMETER( jMin = 2-OLy, jMax = sNy+OLy-1 ) |
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#ifdef ALLOW_GGL90_SMOOTH |
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p4 = 0.25 _d 0 |
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p8 = 0.125 _d 0 |
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p16 = 0.0625 _d 0 |
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#endif |
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C set separate time step (should be deltaTtracer) |
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deltaTggl90 = dTtracerLev(1) |
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kSurf = 1 |
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C explicit/implicit timestepping weights for dissipation |
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explDissFac = 0. _d 0 |
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implDissFac = 1. _d 0 - explDissFac |
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C For nonlinear free surface and especially with r*-coordinates, the |
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C hFacs change every timestep, so we need to update them here in the |
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C case of using IDEMIX. |
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DO K=1,Nr |
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Km1 = MAX(K-1,1) |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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hFac = |
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& MIN(.5 _d 0,_hFacC(i,j,km1,bi,bj) ) + |
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& MIN(.5 _d 0,_hFacC(i,j,k ,bi,bj) ) |
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recip_hFacI(I,J,K)=0. _d 0 |
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IF ( hFac .NE. 0. _d 0 ) |
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& recip_hFacI(I,J,K)=1. _d 0/hFac |
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#ifdef ALLOW_GGL90_IDEMIX |
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hFacI(i,j,k) = hFac |
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#endif /* ALLOW_GGL90_IDEMIX */ |
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ENDDO |
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ENDDO |
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ENDDO |
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C Initialize local fields |
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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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rMixingLength(i,j,k) = 0. _d 0 |
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mxLength_Dn(i,j,k) = 0. _d 0 |
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GGL90visctmp(i,j,k) = 0. _d 0 |
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KappaE(i,j,k) = 0. _d 0 |
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TKEPrandtlNumber(i,j,k) = 1. _d 0 |
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GGL90mixingLength(i,j,k) = GGL90mixingLengthMin |
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GGL90visctmp(i,j,k) = 0. _d 0 |
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#ifndef SOLVE_DIAGONAL_LOWMEMORY |
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a3d(i,j,k) = 0. _d 0 |
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b3d(i,j,k) = 1. _d 0 |
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c3d(i,j,k) = 0. _d 0 |
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#endif |
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Nsquare(i,j,k) = 0. _d 0 |
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SQRTTKE(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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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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KappaM(i,j) = 0. _d 0 |
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verticalShear(i,j) = 0. _d 0 |
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totalDepth(i,j) = Ro_surf(i,j,bi,bj) - R_low(i,j,bi,bj) |
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rMixingLength(i,j,1) = 0. _d 0 |
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mxLength_Dn(i,j,1) = GGL90mixingLengthMin |
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SQRTTKE(i,j,1) = SQRT( GGL90TKE(i,j,1,bi,bj) ) |
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#ifdef ALLOW_GGL90_HORIZDIFF |
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xA(i,j) = 0. _d 0 |
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yA(i,j) = 0. _d 0 |
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dfx(i,j) = 0. _d 0 |
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dfy(i,j) = 0. _d 0 |
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gTKE(i,j) = 0. _d 0 |
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#endif /* ALLOW_GGL90_HORIZDIFF */ |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_GGL90_IDEMIX |
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IF ( useIDEMIX) CALL GGL90_IDEMIX( |
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& bi, bj, hFacI, recip_hFacI, sigmaR, myTime, myIter, myThid ) |
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#endif /* ALLOW_GGL90_IDEMIX */ |
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DO k = 2, Nr |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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SQRTTKE(i,j,k)=SQRT( GGL90TKE(i,j,k,bi,bj) ) |
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C buoyancy frequency |
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Nsquare(i,j,k) = gravity*gravitySign*recip_rhoConst |
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& * sigmaR(i,j,k) |
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C vertical shear term (dU/dz)^2+(dV/dz)^2 is computed later |
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C to save some memory |
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C mixing length |
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GGL90mixingLength(i,j,k) = SQRTTWO * |
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& SQRTTKE(i,j,k)/SQRT( MAX(Nsquare(i,j,k),GGL90eps) ) |
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ENDDO |
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ENDDO |
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ENDDO |
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C- ensure mixing between first and second level |
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IF (mxlSurfFlag) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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GGL90mixingLength(i,j,2)=drF(1) |
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ENDDO |
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ENDDO |
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ENDIF |
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C-- Impose upper and lower bound for mixing length |
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C-- Impose minimum mixing length to avoid division by zero |
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IF ( mxlMaxFlag .EQ. 0 ) THEN |
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DO k=2,Nr |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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MaxLength=totalDepth(i,j) |
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GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
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& MaxLength) |
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ENDDO |
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ENDDO |
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ENDDO |
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DO k=2,Nr |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
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& GGL90mixingLengthMin) |
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rMixingLength(i,j,k) = 1. _d 0 / GGL90mixingLength(i,j,k) |
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ENDDO |
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ENDDO |
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ENDDO |
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ELSEIF ( mxlMaxFlag .EQ. 1 ) THEN |
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DO k=2,Nr |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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MaxLength=MIN(Ro_surf(i,j,bi,bj)-rF(k),rF(k)-R_low(i,j,bi,bj)) |
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c MaxLength=MAX(MaxLength,20. _d 0) |
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GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
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& MaxLength) |
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ENDDO |
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ENDDO |
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ENDDO |
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DO k=2,Nr |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
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& GGL90mixingLengthMin) |
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rMixingLength(i,j,k) = 1. _d 0 / GGL90mixingLength(i,j,k) |
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ENDDO |
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ENDDO |
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ENDDO |
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ELSEIF ( mxlMaxFlag .EQ. 2 ) THEN |
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DO k=2,Nr |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
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& GGL90mixingLength(i,j,k-1)+drF(k-1)) |
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ENDDO |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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GGL90mixingLength(i,j,Nr) = MIN(GGL90mixingLength(i,j,Nr), |
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& GGL90mixingLengthMin+drF(Nr)) |
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ENDDO |
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ENDDO |
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DO k=Nr-1,2,-1 |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
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& GGL90mixingLength(i,j,k+1)+drF(k)) |
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ENDDO |
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ENDDO |
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ENDDO |
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DO k=2,Nr |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
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& GGL90mixingLengthMin) |
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rMixingLength(i,j,k) = 1. _d 0 / GGL90mixingLength(i,j,k) |
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ENDDO |
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ENDDO |
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ENDDO |
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ELSEIF ( mxlMaxFlag .EQ. 3 ) THEN |
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DO k=2,Nr |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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mxLength_Dn(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
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& mxLength_Dn(i,j,k-1)+drF(k-1)) |
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ENDDO |
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ENDDO |
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ENDDO |
329 |
|
|
DO j=jMin,jMax |
330 |
|
|
DO i=iMin,iMax |
331 |
|
|
GGL90mixingLength(i,j,Nr) = MIN(GGL90mixingLength(i,j,Nr), |
332 |
|
|
& GGL90mixingLengthMin+drF(Nr)) |
333 |
|
|
ENDDO |
334 |
|
|
ENDDO |
335 |
|
|
DO k=Nr-1,2,-1 |
336 |
|
|
DO j=jMin,jMax |
337 |
|
|
DO i=iMin,iMax |
338 |
|
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
339 |
|
|
& GGL90mixingLength(i,j,k+1)+drF(k)) |
340 |
|
|
ENDDO |
341 |
|
|
ENDDO |
342 |
|
|
ENDDO |
343 |
|
|
|
344 |
|
|
DO k=2,Nr |
345 |
|
|
DO j=jMin,jMax |
346 |
|
|
DO i=iMin,iMax |
347 |
|
|
GGL90mixingLength(i,j,k) = MIN(GGL90mixingLength(i,j,k), |
348 |
|
|
& mxLength_Dn(i,j,k)) |
349 |
|
|
tmpmlx = SQRT( GGL90mixingLength(i,j,k)*mxLength_Dn(i,j,k) ) |
350 |
|
|
tmpmlx = MAX( tmpmlx, GGL90mixingLengthMin) |
351 |
|
|
rMixingLength(i,j,k) = 1. _d 0 / tmpmlx |
352 |
|
|
ENDDO |
353 |
|
|
ENDDO |
354 |
|
|
ENDDO |
355 |
|
|
|
356 |
|
|
ELSE |
357 |
|
|
STOP 'GGL90_CALC: Wrong mxlMaxFlag (mixing length limit)' |
358 |
|
|
ENDIF |
359 |
|
|
|
360 |
|
|
C start "proper" k-loop (the code above was moved out and up to |
361 |
|
|
C implemement various mixing parameters efficiently) |
362 |
|
|
DO k=2,Nr |
363 |
|
|
km1 = k-1 |
364 |
|
|
|
365 |
|
|
#ifdef ALLOW_GGL90_HORIZDIFF |
366 |
|
|
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
367 |
|
|
C horizontal diffusion of TKE (requires an exchange in |
368 |
|
|
C do_fields_blocking_exchanges) |
369 |
|
|
C common factors |
370 |
|
|
DO j=1-OLy,sNy+OLy |
371 |
|
|
DO i=1-OLx,sNx+OLx |
372 |
|
|
xA(i,j) = _dyG(i,j,bi,bj)*drC(k)* |
373 |
|
|
& (min(.5 _d 0,_hFacW(i,j,k-1,bi,bj) ) + |
374 |
|
|
& min(.5 _d 0,_hFacW(i,j,k ,bi,bj) ) ) |
375 |
|
|
yA(i,j) = _dxG(i,j,bi,bj)*drC(k)* |
376 |
|
|
& (min(.5 _d 0,_hFacS(i,j,k-1,bi,bj) ) + |
377 |
|
|
& min(.5 _d 0,_hFacS(i,j,k ,bi,bj) ) ) |
378 |
|
|
ENDDO |
379 |
|
|
ENDDO |
380 |
|
|
C Compute diffusive fluxes |
381 |
|
|
C ... across x-faces |
382 |
|
|
DO j=1-OLy,sNy+OLy |
383 |
|
|
dfx(1-OLx,j)=0. _d 0 |
384 |
|
|
DO i=1-OLx+1,sNx+OLx |
385 |
|
|
dfx(i,j) = -GGL90diffTKEh*xA(i,j) |
386 |
|
|
& *_recip_dxC(i,j,bi,bj) |
387 |
|
|
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i-1,j,k,bi,bj)) |
388 |
|
|
#ifdef ISOTROPIC_COS_SCALING |
389 |
|
|
& *CosFacU(j,bi,bj) |
390 |
|
|
#endif /* ISOTROPIC_COS_SCALING */ |
391 |
|
|
ENDDO |
392 |
|
|
ENDDO |
393 |
|
|
C ... across y-faces |
394 |
|
|
DO i=1-OLx,sNx+OLx |
395 |
|
|
dfy(i,1-OLy)=0. _d 0 |
396 |
|
|
ENDDO |
397 |
|
|
DO j=1-OLy+1,sNy+OLy |
398 |
|
|
DO i=1-OLx,sNx+OLx |
399 |
|
|
dfy(i,j) = -GGL90diffTKEh*yA(i,j) |
400 |
|
|
& *_recip_dyC(i,j,bi,bj) |
401 |
|
|
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i,j-1,k,bi,bj)) |
402 |
|
|
#ifdef ISOTROPIC_COS_SCALING |
403 |
|
|
& *CosFacV(j,bi,bj) |
404 |
|
|
#endif /* ISOTROPIC_COS_SCALING */ |
405 |
|
|
ENDDO |
406 |
|
|
ENDDO |
407 |
|
|
C Compute divergence of fluxes |
408 |
|
|
DO j=1-OLy,sNy+OLy-1 |
409 |
|
|
DO i=1-OLx,sNx+OLx-1 |
410 |
|
|
gTKE(i,j) = -recip_drC(k)*recip_rA(i,j,bi,bj) |
411 |
|
|
& *recip_hFacI(i,j,k) |
412 |
|
|
& *((dfx(i+1,j)-dfx(i,j)) |
413 |
|
|
& + (dfy(i,j+1)-dfy(i,j)) ) |
414 |
|
|
ENDDO |
415 |
|
|
ENDDO |
416 |
|
|
C end if GGL90diffTKEh .eq. 0. |
417 |
|
|
ENDIF |
418 |
|
|
#endif /* ALLOW_GGL90_HORIZDIFF */ |
419 |
|
|
|
420 |
|
|
C viscosity and diffusivity |
421 |
|
|
DO j=jMin,jMax |
422 |
|
|
DO i=iMin,iMax |
423 |
|
|
KappaM(i,j) = GGL90ck*GGL90mixingLength(i,j,k)*SQRTTKE(i,j,k) |
424 |
|
|
GGL90visctmp(i,j,k) = MAX(KappaM(i,j),diffKrNrS(k)) |
425 |
|
|
& * maskC(i,j,k,bi,bj) |
426 |
|
|
C note: storing GGL90visctmp like this, and using it later to compute |
427 |
|
|
C GGL9rdiffKr etc. is robust in case of smoothing (e.g. see OPA) |
428 |
|
|
KappaM(i,j) = MAX(KappaM(i,j),viscArNr(k)) * maskC(i,j,k,bi,bj) |
429 |
|
|
ENDDO |
430 |
|
|
ENDDO |
431 |
|
|
|
432 |
|
|
C compute vertical shear (dU/dz)^2+(dV/dz)^2 |
433 |
|
|
IF ( calcMeanVertShear ) THEN |
434 |
|
|
C by averaging (@ grid-cell center) the 4 vertical shear compon @ U,V pos. |
435 |
|
|
DO j=jMin,jMax |
436 |
|
|
DO i=iMin,iMax |
437 |
|
|
tempU = ( uVel( i ,j,km1,bi,bj) - uVel( i ,j,k,bi,bj) ) |
438 |
|
|
tempUp = ( uVel(i+1,j,km1,bi,bj) - uVel(i+1,j,k,bi,bj) ) |
439 |
|
|
tempV = ( vVel(i, j ,km1,bi,bj) - vVel(i, j ,k,bi,bj) ) |
440 |
|
|
tempVp = ( vVel(i,j+1,km1,bi,bj) - vVel(i,j+1,k,bi,bj) ) |
441 |
|
|
verticalShear(i,j) = ( |
442 |
|
|
& ( tempU*tempU + tempUp*tempUp )*halfRL |
443 |
|
|
& + ( tempV*tempV + tempVp*tempVp )*halfRL |
444 |
|
|
& )*recip_drC(k)*recip_drC(k) |
445 |
|
|
ENDDO |
446 |
|
|
ENDDO |
447 |
|
|
ELSE |
448 |
|
|
C from the averaged flow at grid-cell center (2 compon x 2 pos.) |
449 |
|
|
DO j=jMin,jMax |
450 |
|
|
DO i=iMin,iMax |
451 |
|
|
tempU = ( ( uVel(i,j,km1,bi,bj) + uVel(i+1,j,km1,bi,bj) ) |
452 |
|
|
& -( uVel(i,j,k ,bi,bj) + uVel(i+1,j,k ,bi,bj) ) |
453 |
|
|
& )*halfRL*recip_drC(k) |
454 |
|
|
tempV = ( ( vVel(i,j,km1,bi,bj) + vVel(i,j+1,km1,bi,bj) ) |
455 |
|
|
& -( vVel(i,j,k ,bi,bj) + vVel(i,j+1,k ,bi,bj) ) |
456 |
|
|
& )*halfRL*recip_drC(k) |
457 |
|
|
verticalShear(i,j) = tempU*tempU + tempV*tempV |
458 |
|
|
ENDDO |
459 |
|
|
ENDDO |
460 |
|
|
ENDIF |
461 |
|
|
|
462 |
|
|
C compute Prandtl number (always greater than 0) |
463 |
|
|
#ifdef ALLOW_GGL90_IDEMIX |
464 |
|
|
IF ( useIDEMIX ) THEN |
465 |
|
|
DO j=jMin,jMax |
466 |
|
|
DO i=iMin,iMax |
467 |
|
|
C account for partical cell factor in vertical shear: |
468 |
|
|
verticalShear(i,j) = verticalShear(i,j) |
469 |
|
|
& * recip_hFacI(i,j,k)*recip_hFacI(i,j,k) |
470 |
|
|
RiNumber = MAX(Nsquare(i,j,k),0. _d 0) |
471 |
|
|
& /(verticalShear(i,j)+GGL90eps) |
472 |
|
|
CML IDEMIX_RiNumber = 1./GGL90eps |
473 |
|
|
IDEMIX_RiNumber = MAX( KappaM(i,j)*Nsquare(i,j,k), 0. _d 0)/ |
474 |
|
|
& (GGL90eps+IDEMIX_tau_d(i,j,k,bi,bj)*IDEMIX_E(i,j,k,bi,bj)**2) |
475 |
|
|
prTemp = MIN(5.*RiNumber, 6.6 _d 0*IDEMIX_RiNumber) |
476 |
|
|
TKEPrandtlNumber(i,j,k) = MIN(10. _d 0,prTemp) |
477 |
|
|
TKEPrandtlNumber(i,j,k) = MAX( 1. _d 0,TKEPrandtlNumber(i,j,k)) |
478 |
|
|
ENDDO |
479 |
|
|
ENDDO |
480 |
|
|
ELSE |
481 |
|
|
#else /* ndef ALLOW_GGL90_IDEMIX */ |
482 |
|
|
IF (.TRUE.) THEN |
483 |
|
|
#endif /* ALLOW_GGL90_IDEMIX */ |
484 |
|
|
DO j=jMin,jMax |
485 |
|
|
DO i=iMin,iMax |
486 |
|
|
RiNumber = MAX(Nsquare(i,j,k),0. _d 0) |
487 |
|
|
& /(verticalShear(i,j)+GGL90eps) |
488 |
|
|
prTemp = 1. _d 0 |
489 |
|
|
IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
490 |
|
|
TKEPrandtlNumber(i,j,k) = MIN(10. _d 0,prTemp) |
491 |
|
|
ENDDO |
492 |
|
|
ENDDO |
493 |
|
|
ENDIF |
494 |
|
|
|
495 |
|
|
DO j=jMin,jMax |
496 |
|
|
DO i=iMin,iMax |
497 |
|
|
C diffusivity |
498 |
|
|
KappaH = KappaM(i,j)/TKEPrandtlNumber(i,j,k) |
499 |
|
|
KappaE(i,j,k) = GGL90alpha * KappaM(i,j) * maskC(i,j,k,bi,bj) |
500 |
|
|
|
501 |
|
|
C dissipation term |
502 |
|
|
TKEdissipation = explDissFac*GGL90ceps |
503 |
|
|
& *SQRTTKE(i,j,k)*rMixingLength(i,j,k) |
504 |
|
|
& *GGL90TKE(i,j,k,bi,bj) |
505 |
|
|
C partial update with sum of explicit contributions |
506 |
|
|
GGL90TKE(i,j,k,bi,bj) = GGL90TKE(i,j,k,bi,bj) |
507 |
|
|
& + deltaTggl90*( |
508 |
|
|
& + KappaM(i,j)*verticalShear(i,j) |
509 |
|
|
& - KappaH*Nsquare(i,j,k) |
510 |
|
|
& - TKEdissipation |
511 |
|
|
& ) |
512 |
|
|
ENDDO |
513 |
|
|
ENDDO |
514 |
|
|
|
515 |
|
|
#ifdef ALLOW_GGL90_IDEMIX |
516 |
|
|
IF ( useIDEMIX ) THEN |
517 |
|
|
C add IDEMIX contribution to the turbulent kinetic energy |
518 |
|
|
DO j=jMin,jMax |
519 |
|
|
DO i=iMin,iMax |
520 |
|
|
GGL90TKE(i,j,k,bi,bj) = GGL90TKE(i,j,k,bi,bj) |
521 |
|
|
& + deltaTggl90*( |
522 |
|
|
& + IDEMIX_tau_d(i,j,k,bi,bj)*IDEMIX_E(i,j,k,bi,bj)**2 |
523 |
|
|
& ) |
524 |
|
|
ENDDO |
525 |
|
|
ENDDO |
526 |
|
|
ENDIF |
527 |
|
|
#endif /* ALLOW_GGL90_IDEMIX */ |
528 |
|
|
|
529 |
|
|
#ifdef ALLOW_GGL90_HORIZDIFF |
530 |
|
|
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
531 |
|
|
C-- Add horiz. diffusion tendency |
532 |
|
|
DO j=jMin,jMax |
533 |
|
|
DO i=iMin,iMax |
534 |
|
|
GGL90TKE(i,j,k,bi,bj) = GGL90TKE(i,j,k,bi,bj) |
535 |
|
|
& + gTKE(i,j)*deltaTggl90 |
536 |
|
|
ENDDO |
537 |
|
|
ENDDO |
538 |
|
|
ENDIF |
539 |
|
|
#endif /* ALLOW_GGL90_HORIZDIFF */ |
540 |
|
|
|
541 |
|
|
C-- end of k loop |
542 |
|
|
ENDDO |
543 |
|
|
|
544 |
|
|
C ============================================ |
545 |
|
|
C Implicit time step to update TKE for k=1,Nr; |
546 |
|
|
C TKE(Nr+1)=0 by default |
547 |
|
|
C ============================================ |
548 |
|
|
C set up matrix |
549 |
|
|
C-- Lower diagonal |
550 |
|
|
DO j=jMin,jMax |
551 |
|
|
DO i=iMin,iMax |
552 |
|
|
a3d(i,j,1) = 0. _d 0 |
553 |
|
|
ENDDO |
554 |
|
|
ENDDO |
555 |
|
|
DO k=2,Nr |
556 |
|
|
km1=MAX(2,k-1) |
557 |
|
|
DO j=jMin,jMax |
558 |
|
|
DO i=iMin,iMax |
559 |
|
|
C- We keep recip_hFacC in the diffusive flux calculation, |
560 |
|
|
C- but no hFacC in TKE volume control |
561 |
|
|
C- No need for maskC(k-1) with recip_hFacC(k-1) |
562 |
|
|
a3d(i,j,k) = -deltaTggl90 |
563 |
|
|
& *recip_drF(k-1)*recip_hFacC(i,j,k-1,bi,bj) |
564 |
|
|
& *.5 _d 0*(KappaE(i,j, k )+KappaE(i,j,km1)) |
565 |
|
|
& *recip_drC(k)*maskC(i,j,k,bi,bj) |
566 |
|
|
ENDDO |
567 |
|
|
ENDDO |
568 |
|
|
ENDDO |
569 |
|
|
C-- Upper diagonal |
570 |
|
|
DO j=jMin,jMax |
571 |
|
|
DO i=iMin,iMax |
572 |
|
|
c3d(i,j,1) = 0. _d 0 |
573 |
|
|
ENDDO |
574 |
|
|
ENDDO |
575 |
|
|
DO k=2,Nr |
576 |
|
|
DO j=jMin,jMax |
577 |
|
|
DO i=iMin,iMax |
578 |
|
|
kp1=MAX(1,MIN(klowC(i,j,bi,bj),k+1)) |
579 |
|
|
C- We keep recip_hFacC in the diffusive flux calculation, |
580 |
|
|
C- but no hFacC in TKE volume control |
581 |
|
|
C- No need for maskC(k) with recip_hFacC(k) |
582 |
|
|
c3d(i,j,k) = -deltaTggl90 |
583 |
|
|
& *recip_drF( k ) * recip_hFacC(i,j,k,bi,bj) |
584 |
|
|
& *.5 _d 0*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
585 |
|
|
& *recip_drC(k)*maskC(i,j,k-1,bi,bj) |
586 |
|
|
ENDDO |
587 |
|
|
ENDDO |
588 |
|
|
ENDDO |
589 |
|
|
|
590 |
|
|
#ifdef ALLOW_GGL90_IDEMIX |
591 |
|
|
IF ( useIDEMIX ) THEN |
592 |
|
|
DO k=2,Nr |
593 |
|
|
DO j=jMin,jMax |
594 |
|
|
DO i=iMin,iMax |
595 |
|
|
a3d(i,j,k) = a3d(i,j,k)*recip_hFacI(i,j,k) |
596 |
|
|
c3d(i,j,k) = c3d(i,j,k)*recip_hFacI(i,j,k) |
597 |
|
|
ENDDO |
598 |
|
|
ENDDO |
599 |
|
|
ENDDO |
600 |
|
|
ENDIF |
601 |
|
|
#endif /* ALLOW_GGL90_IDEMIX */ |
602 |
|
|
|
603 |
|
|
IF (.NOT.GGL90_dirichlet) THEN |
604 |
|
|
C Neumann bottom boundary condition for TKE: no flux from bottom |
605 |
|
|
DO j=jMin,jMax |
606 |
|
|
DO i=iMin,iMax |
607 |
|
|
kBottom = MAX(kLowC(i,j,bi,bj),1) |
608 |
|
|
c3d(i,j,kBottom) = 0. _d 0 |
609 |
|
|
ENDDO |
610 |
|
|
ENDDO |
611 |
|
|
ENDIF |
612 |
|
|
|
613 |
|
|
C-- Center diagonal |
614 |
|
|
DO k=1,Nr |
615 |
|
|
km1 = MAX(k-1,1) |
616 |
|
|
DO j=jMin,jMax |
617 |
|
|
DO i=iMin,iMax |
618 |
|
|
b3d(i,j,k) = 1. _d 0 - c3d(i,j,k) - a3d(i,j,k) |
619 |
|
|
& + implDissFac*deltaTggl90*GGL90ceps*SQRTTKE(i,j,k) |
620 |
|
|
& * rMixingLength(i,j,k) |
621 |
|
|
& * maskC(i,j,k,bi,bj)*maskC(i,j,km1,bi,bj) |
622 |
|
|
ENDDO |
623 |
|
|
ENDDO |
624 |
|
|
ENDDO |
625 |
|
|
C end set up matrix |
626 |
|
|
|
627 |
|
|
C Apply boundary condition |
628 |
|
|
kp1 = MIN(Nr,kSurf+1) |
629 |
|
|
DO j=jMin,jMax |
630 |
|
|
DO i=iMin,iMax |
631 |
|
|
C estimate friction velocity uStar from surface forcing |
632 |
|
|
uStarSquare = SQRT( |
633 |
|
|
& ( .5 _d 0*( surfaceForcingU(i, j, bi,bj) |
634 |
|
|
& + surfaceForcingU(i+1,j, bi,bj) ) )**2 |
635 |
|
|
& + ( .5 _d 0*( surfaceForcingV(i, j, bi,bj) |
636 |
|
|
& + surfaceForcingV(i, j+1,bi,bj) ) )**2 |
637 |
|
|
& ) |
638 |
|
|
C Dirichlet surface boundary condition for TKE |
639 |
|
|
GGL90TKE(i,j,kSurf,bi,bj) = maskC(i,j,kSurf,bi,bj) |
640 |
|
|
& *MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
641 |
|
|
GGL90TKE(i,j,kp1,bi,bj) = GGL90TKE(i,j,kp1,bi,bj) |
642 |
|
|
& - a3d(i,j,kp1)*GGL90TKE(i,j,kSurf,bi,bj) |
643 |
|
|
a3d(i,j,kp1) = 0. _d 0 |
644 |
|
|
ENDDO |
645 |
|
|
ENDDO |
646 |
|
|
|
647 |
|
|
IF (GGL90_dirichlet) THEN |
648 |
|
|
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
649 |
|
|
DO j=jMin,jMax |
650 |
|
|
DO i=iMin,iMax |
651 |
|
|
kBottom = MAX(kLowC(i,j,bi,bj),1) |
652 |
|
|
GGL90TKE(i,j,kBottom,bi,bj) = GGL90TKE(i,j,kBottom,bi,bj) |
653 |
|
|
& - GGL90TKEbottom*c3d(i,j,kBottom) |
654 |
|
|
c3d(i,j,kBottom) = 0. _d 0 |
655 |
|
|
ENDDO |
656 |
|
|
ENDDO |
657 |
|
|
ENDIF |
658 |
|
|
|
659 |
|
|
C solve tri-diagonal system |
660 |
|
|
errCode = -1 |
661 |
|
|
CALL SOLVE_TRIDIAGONAL( iMin,iMax, jMin,jMax, |
662 |
|
|
I a3d, b3d, c3d, |
663 |
|
|
U GGL90TKE(1-OLx,1-OLy,1,bi,bj), |
664 |
|
|
O errCode, |
665 |
|
|
I bi, bj, myThid ) |
666 |
|
|
|
667 |
|
|
DO k=1,Nr |
668 |
|
|
DO j=jMin,jMax |
669 |
|
|
DO i=iMin,iMax |
670 |
|
|
C impose minimum TKE to avoid numerical undershoots below zero |
671 |
|
|
GGL90TKE(i,j,k,bi,bj) = maskC(i,j,k,bi,bj) |
672 |
|
|
& *MAX( GGL90TKE(i,j,k,bi,bj), GGL90TKEmin ) |
673 |
|
|
ENDDO |
674 |
|
|
ENDDO |
675 |
|
|
ENDDO |
676 |
|
|
|
677 |
|
|
C end of time step |
678 |
|
|
C =============================== |
679 |
|
|
|
680 |
|
|
DO k=2,Nr |
681 |
|
|
DO j=1,sNy |
682 |
|
|
DO i=1,sNx |
683 |
|
|
#ifdef ALLOW_GGL90_SMOOTH |
684 |
|
|
tmpVisc = ( |
685 |
|
|
& p4 * GGL90visctmp(i ,j ,k)*mskCor(i ,j ,bi,bj) |
686 |
|
|
& +p8 *( ( GGL90visctmp(i-1,j ,k)*mskCor(i-1,j ,bi,bj) |
687 |
|
|
& + GGL90visctmp(i+1,j ,k)*mskCor(i+1,j ,bi,bj) ) |
688 |
|
|
& + ( GGL90visctmp(i ,j-1,k)*mskCor(i ,j-1,bi,bj) |
689 |
|
|
& + GGL90visctmp(i ,j+1,k)*mskCor(i ,j+1,bi,bj) ) ) |
690 |
|
|
& +p16*( ( GGL90visctmp(i+1,j+1,k)*mskCor(i+1,j+1,bi,bj) |
691 |
|
|
& + GGL90visctmp(i-1,j-1,k)*mskCor(i-1,j-1,bi,bj) ) |
692 |
|
|
& + ( GGL90visctmp(i+1,j-1,k)*mskCor(i+1,j-1,bi,bj) |
693 |
|
|
& + GGL90visctmp(i-1,j+1,k)*mskCor(i-1,j+1,bi,bj) ) ) |
694 |
|
|
& )/( |
695 |
|
|
& p4 |
696 |
|
|
& +p8 *( ( maskC(i-1,j ,k,bi,bj)*mskCor(i-1,j ,bi,bj) |
697 |
|
|
& + maskC(i+1,j ,k,bi,bj)*mskCor(i+1,j ,bi,bj) ) |
698 |
|
|
& + ( maskC(i ,j-1,k,bi,bj)*mskCor(i ,j-1,bi,bj) |
699 |
|
|
& + maskC(i ,j+1,k,bi,bj)*mskCor(i ,j+1,bi,bj) ) ) |
700 |
|
|
& +p16*( ( maskC(i+1,j+1,k,bi,bj)* mskCor(i+1,j+1,bi,bj) |
701 |
|
|
& + maskC(i-1,j-1,k,bi,bj)*mskCor(i-1,j-1,bi,bj) ) |
702 |
|
|
& + ( maskC(i+1,j-1,k,bi,bj)*mskCor(i+1,j-1,bi,bj) |
703 |
|
|
& + maskC(i-1,j+1,k,bi,bj)*mskCor(i-1,j+1,bi,bj) ) ) |
704 |
|
|
& )*maskC(i,j,k,bi,bj)*mskCor(i,j,bi,bj) |
705 |
|
|
#else |
706 |
|
|
tmpVisc = GGL90visctmp(i,j,k) |
707 |
|
|
#endif |
708 |
|
|
tmpVisc = MIN(tmpVisc/TKEPrandtlNumber(i,j,k),GGL90diffMax) |
709 |
|
|
GGL90diffKr(i,j,k,bi,bj)= MAX( tmpVisc , diffKrNrS(k) ) |
710 |
|
|
ENDDO |
711 |
|
|
ENDDO |
712 |
|
|
ENDDO |
713 |
|
|
|
714 |
|
|
DO k=2,Nr |
715 |
|
|
DO j=1,sNy |
716 |
|
|
DO i=1,sNx+1 |
717 |
|
|
#ifdef ALLOW_GGL90_SMOOTH |
718 |
|
|
tmpVisc = ( |
719 |
|
|
& p4 *( GGL90visctmp(i-1,j ,k)*mskCor(i-1,j ,bi,bj) |
720 |
|
|
& + GGL90visctmp(i ,j ,k)*mskCor(i ,j ,bi,bj) ) |
721 |
|
|
& +p8 *( ( GGL90visctmp(i-1,j-1,k)*mskCor(i-1,j-1,bi,bj) |
722 |
|
|
& + GGL90visctmp(i ,j-1,k)*mskCor(i ,j-1,bi,bj) ) |
723 |
|
|
& + ( GGL90visctmp(i-1,j+1,k)*mskCor(i-1,j+1,bi,bj) |
724 |
|
|
& + GGL90visctmp(i ,j+1,k)*mskCor(i ,j+1,bi,bj) ) ) |
725 |
|
|
& )/( |
726 |
|
|
& p4 * 2. _d 0 |
727 |
|
|
& +p8 *( ( maskC(i-1,j-1,k,bi,bj)*mskCor(i-1,j-1,bi,bj) |
728 |
|
|
& + maskC(i ,j-1,k,bi,bj)*mskCor(i ,j-1,bi,bj) ) |
729 |
|
|
& + ( maskC(i-1,j+1,k,bi,bj)*mskCor(i-1,j+1,bi,bj) |
730 |
|
|
& + maskC(i ,j+1,k,bi,bj)*mskCor(i ,j+1,bi,bj) ) ) |
731 |
|
|
& )*maskC(i-1,j,k,bi,bj)*mskCor(i-1,j,bi,bj) |
732 |
|
|
& *maskC(i ,j,k,bi,bj)*mskCor(i ,j,bi,bj) |
733 |
|
|
#else |
734 |
|
|
tmpVisc = _maskW(i,j,k,bi,bj) * halfRL |
735 |
|
|
& *( GGL90visctmp(i-1,j,k) |
736 |
|
|
& + GGL90visctmp(i,j,k) ) |
737 |
|
|
#endif |
738 |
|
|
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
739 |
|
|
GGL90viscArU(i,j,k,bi,bj) = MAX( tmpVisc, viscArNr(k) ) |
740 |
|
|
ENDDO |
741 |
|
|
ENDDO |
742 |
|
|
ENDDO |
743 |
|
|
|
744 |
|
|
DO k=2,Nr |
745 |
|
|
DO j=1,sNy+1 |
746 |
|
|
DO i=1,sNx |
747 |
|
|
#ifdef ALLOW_GGL90_SMOOTH |
748 |
|
|
tmpVisc = ( |
749 |
|
|
& p4 *( GGL90visctmp(i ,j-1,k)*mskCor(i ,j-1,bi,bj) |
750 |
|
|
& + GGL90visctmp(i ,j ,k)*mskCor(i ,j ,bi,bj) ) |
751 |
|
|
& +p8 *( ( GGL90visctmp(i-1,j-1,k)*mskCor(i-1,j-1,bi,bj) |
752 |
|
|
& + GGL90visctmp(i-1,j ,k)*mskCor(i-1,j ,bi,bj) ) |
753 |
|
|
& + ( GGL90visctmp(i+1,j-1,k)*mskCor(i+1,j-1,bi,bj) |
754 |
|
|
& + GGL90visctmp(i+1,j ,k)*mskCor(i+1,j ,bi,bj) ) ) |
755 |
|
|
& )/( |
756 |
|
|
& p4 * 2. _d 0 |
757 |
|
|
& +p8 *( ( maskC(i-1,j-1,k,bi,bj)*mskCor(i-1,j-1,bi,bj) |
758 |
|
|
& + maskC(i-1,j ,k,bi,bj)*mskCor(i-1,j ,bi,bj) ) |
759 |
|
|
& + ( maskC(i+1,j-1,k,bi,bj)*mskCor(i+1,j-1,bi,bj) |
760 |
|
|
& + maskC(i+1,j ,k,bi,bj)*mskCor(i+1,j ,bi,bj) ) ) |
761 |
|
|
& )*maskC(i,j-1,k,bi,bj)*mskCor(i,j-1,bi,bj) |
762 |
|
|
& *maskC(i,j ,k,bi,bj)*mskCor(i,j ,bi,bj) |
763 |
|
|
#else |
764 |
|
|
tmpVisc = _maskS(i,j,k,bi,bj) * halfRL |
765 |
|
|
& *( GGL90visctmp(i,j-1,k) |
766 |
|
|
& + GGL90visctmp(i,j,k) ) |
767 |
|
|
#endif |
768 |
|
|
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
769 |
|
|
GGL90viscArV(i,j,k,bi,bj) = MAX( tmpVisc, viscArNr(k) ) |
770 |
|
|
ENDDO |
771 |
|
|
ENDDO |
772 |
|
|
ENDDO |
773 |
|
|
|
774 |
|
|
DO k=1,Nr |
775 |
|
|
DO j=jMin,jMax |
776 |
|
|
DO i=iMin,iMax |
777 |
|
|
mixingLength(i,j,k,bi,bj) = GGL90mixingLength(i,j,k) / |
778 |
|
|
& drF(k) |
779 |
|
|
ENDDO |
780 |
|
|
ENDDO |
781 |
|
|
ENDDO |
782 |
|
|
|
783 |
|
|
|
784 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
785 |
|
|
IF ( useDiagnostics ) THEN |
786 |
|
|
CALL DIAGNOSTICS_FILL( GGL90TKE ,'GGL90TKE', |
787 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
788 |
|
|
CALL DIAGNOSTICS_FILL( GGL90viscArU,'GGL90ArU', |
789 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
790 |
|
|
CALL DIAGNOSTICS_FILL( GGL90viscArV,'GGL90ArV', |
791 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
792 |
|
|
CALL DIAGNOSTICS_FILL( GGL90diffKr,'GGL90Kr ', |
793 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
794 |
|
|
CALL DIAGNOSTICS_FILL( TKEPrandtlNumber ,'GGL90Prl', |
795 |
|
|
& 0,Nr, 2, bi, bj, myThid ) |
796 |
|
|
CALL DIAGNOSTICS_FILL( GGL90mixingLength,'GGL90Lmx', |
797 |
|
|
& 0,Nr, 2, bi, bj, myThid ) |
798 |
|
|
|
799 |
|
|
kp1 = MIN(Nr,kSurf+1) |
800 |
|
|
DO j=jMin,jMax |
801 |
|
|
DO i=iMin,iMax |
802 |
|
|
C diagnose surface flux of TKE |
803 |
|
|
surf_flx_tke(i,j) =(GGL90TKE(i,j,kSurf,bi,bj)- |
804 |
|
|
& GGL90TKE(i,j,kp1,bi,bj)) |
805 |
|
|
& *recip_drF(kSurf)*recip_hFacC(i,j,kSurf,bi,bj) |
806 |
|
|
& *KappaE(i,j,kp1) |
807 |
|
|
ENDDO |
808 |
|
|
ENDDO |
809 |
|
|
CALL DIAGNOSTICS_FILL( surf_flx_tke,'GGL90flx', |
810 |
|
|
& 0, 1, 2, bi, bj, myThid ) |
811 |
|
|
|
812 |
|
|
k=kSurf |
813 |
|
|
DO j=jMin,jMax |
814 |
|
|
DO i=iMin,iMax |
815 |
|
|
C diagnose work done by the wind |
816 |
|
|
surf_flx_tke(i,j) = |
817 |
|
|
& halfRL*( surfaceForcingU(i, j,bi,bj)*uVel(i ,j,k,bi,bj) |
818 |
|
|
& +surfaceForcingU(i+1,j,bi,bj)*uVel(i+1,j,k,bi,bj)) |
819 |
|
|
& + halfRL*( surfaceForcingV(i,j, bi,bj)*vVel(i,j ,k,bi,bj) |
820 |
|
|
& +surfaceForcingV(i,j+1,bi,bj)*vVel(i,j+1,k,bi,bj)) |
821 |
|
|
ENDDO |
822 |
|
|
ENDDO |
823 |
|
|
CALL DIAGNOSTICS_FILL( surf_flx_tke,'GGL90tau', |
824 |
|
|
& 0, 1, 2, bi, bj, myThid ) |
825 |
|
|
|
826 |
|
|
ENDIF |
827 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
828 |
|
|
|
829 |
|
|
#endif /* ALLOW_GGL90 */ |
830 |
|
|
|
831 |
|
|
RETURN |
832 |
|
|
END |