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C $Header: /u/gcmpack/MITgcm/pkg/ggl90/ggl90_calc.F,v 1.26 2014/08/14 16:42:35 jmc Exp $ |
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C $Name: $ |
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|
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#include "GGL90_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: GGL90_CALC |
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|
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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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|
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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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|
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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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|
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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 "GGL90.h" |
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#include "FFIELDS.h" |
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#include "GRID.h" |
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|
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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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|
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#ifdef ALLOW_GGL90 |
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|
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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 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 |
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_RL KappaM, 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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_RL IDEMIX_RiNumber |
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_RL TKEdissipation |
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_RL tempU, tempV, 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- 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 hFac :: fractional thickness of W-cell |
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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 hFac |
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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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CEOP |
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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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iMin = 2-OLx |
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iMax = sNx+OLx-1 |
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jMin = 2-OLy |
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jMax = sNy+OLy-1 |
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|
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C set separate time step (should be deltaTtracer) |
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deltaTggl90 = dTtracerLev(1) |
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|
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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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|
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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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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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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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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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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_GGL90_IDEMIX |
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IF ( useIDEMIX) CALL GGL90_IDEMIX( |
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& bi, bj, sigmaR, myTime, myIter, myThid ) |
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#endif /* ALLOW_GGL90_IDEMIX */ |
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|
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C start k-loop |
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DO k = 2, Nr |
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c km1 = k-1 |
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c kp1 = MIN(Nr,k+1) |
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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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|
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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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cC vertical shear term (dU/dz)^2+(dV/dz)^2 |
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c tempU= .5 _d 0*( uVel(i,j,km1,bi,bj)+uVel(i+1,j,km1,bi,bj) |
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c & -( uVel(i,j,k ,bi,bj)+uVel(i+1,j,k ,bi,bj)) ) |
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c & *recip_drC(k) |
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c tempV= .5 _d 0*( vVel(i,j,km1,bi,bj)+vVel(i,j+1,km1,bi,bj) |
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c & -( vVel(i,j,k ,bi,bj)+vVel(i,j+1,k ,bi,bj)) ) |
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c & *recip_drC(k) |
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c verticalShear = tempU*tempU + tempV*tempV |
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c RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
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cC compute Prandtl number (always greater than 0) |
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c prTemp = 1. _d 0 |
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c IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
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c TKEPrandtlNumber(i,j,k) = MIN(10. _d 0,prTemp) |
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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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|
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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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|
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C- Impose upper and lower bound for mixing length |
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IF ( mxlMaxFlag .EQ. 0 ) THEN |
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|
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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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|
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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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|
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ELSEIF ( mxlMaxFlag .EQ. 1 ) THEN |
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|
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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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|
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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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|
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ELSEIF ( mxlMaxFlag .EQ. 2 ) THEN |
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|
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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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|
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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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|
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ELSEIF ( mxlMaxFlag .EQ. 3 ) THEN |
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|
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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 |
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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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|
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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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& mxLength_Dn(i,j,k)) |
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tmpmlx = SQRT( GGL90mixingLength(i,j,k)*mxLength_Dn(i,j,k) ) |
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tmpmlx = MAX( tmpmlx, GGL90mixingLengthMin) |
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rMixingLength(i,j,k) = 1. _d 0 / tmpmlx |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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ELSE |
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STOP 'GGL90_CALC: Wrong mxlMaxFlag (mixing length limit)' |
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ENDIF |
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|
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C- Impose minimum mixing length (to avoid division by zero) |
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c DO k=2,Nr |
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c DO j=jMin,jMax |
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c DO i=iMin,iMax |
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c GGL90mixingLength(i,j,k) = MAX(GGL90mixingLength(i,j,k), |
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c & GGL90mixingLengthMin) |
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c rMixingLength(i,j,k) = 1. _d 0 /GGL90mixingLength(i,j,k) |
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c ENDDO |
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c ENDDO |
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c ENDDO |
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|
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DO k=2,Nr |
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km1 = k-1 |
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|
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#ifdef ALLOW_GGL90_HORIZDIFF |
346 |
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
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C horizontal diffusion of TKE (requires an exchange in |
348 |
C do_fields_blocking_exchanges) |
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C common factors |
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DO j=1-OLy,sNy+OLy |
351 |
DO i=1-OLx,sNx+OLx |
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xA(i,j) = _dyG(i,j,bi,bj)*drC(k)* |
353 |
& (min(.5 _d 0,_hFacW(i,j,k-1,bi,bj) ) + |
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& min(.5 _d 0,_hFacW(i,j,k ,bi,bj) ) ) |
355 |
yA(i,j) = _dxG(i,j,bi,bj)*drC(k)* |
356 |
& (min(.5 _d 0,_hFacS(i,j,k-1,bi,bj) ) + |
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& min(.5 _d 0,_hFacS(i,j,k ,bi,bj) ) ) |
358 |
ENDDO |
359 |
ENDDO |
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C Compute diffusive fluxes |
361 |
C ... across x-faces |
362 |
DO j=1-OLy,sNy+OLy |
363 |
dfx(1-OLx,j)=0. _d 0 |
364 |
DO i=1-OLx+1,sNx+OLx |
365 |
dfx(i,j) = -GGL90diffTKEh*xA(i,j) |
366 |
& *_recip_dxC(i,j,bi,bj) |
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& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i-1,j,k,bi,bj)) |
368 |
#ifdef ISOTROPIC_COS_SCALING |
369 |
& *CosFacU(j,bi,bj) |
370 |
#endif /* ISOTROPIC_COS_SCALING */ |
371 |
ENDDO |
372 |
ENDDO |
373 |
C ... across y-faces |
374 |
DO i=1-OLx,sNx+OLx |
375 |
dfy(i,1-OLy)=0. _d 0 |
376 |
ENDDO |
377 |
DO j=1-OLy+1,sNy+OLy |
378 |
DO i=1-OLx,sNx+OLx |
379 |
dfy(i,j) = -GGL90diffTKEh*yA(i,j) |
380 |
& *_recip_dyC(i,j,bi,bj) |
381 |
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i,j-1,k,bi,bj)) |
382 |
#ifdef ISOTROPIC_COS_SCALING |
383 |
& *CosFacV(j,bi,bj) |
384 |
#endif /* ISOTROPIC_COS_SCALING */ |
385 |
ENDDO |
386 |
ENDDO |
387 |
C Compute divergence of fluxes |
388 |
DO j=1-OLy,sNy+OLy-1 |
389 |
DO i=1-OLx,sNx+OLx-1 |
390 |
#ifdef ALLOW_GGL90_IDEMIX |
391 |
gTKE(i,j) = -recip_drC(k)*recip_rA(i,j,bi,bj) |
392 |
& *recip_hFacI(i,j,k,bi,bj) |
393 |
#else |
394 |
hFac = MIN(.5 _d 0,_hFacC(i,j,k-1,bi,bj) ) + |
395 |
& MIN(.5 _d 0,_hFacC(i,j,k ,bi,bj) ) |
396 |
gTKE(i,j) = 0.0 |
397 |
IF ( hFac .ne. 0.0 ) |
398 |
& gTKE(i,j) = -recip_drC(k)*recip_rA(i,j,bi,bj)/hFac |
399 |
#endif |
400 |
& *((dfx(i+1,j)-dfx(i,j)) |
401 |
& +(dfy(i,j+1)-dfy(i,j)) ) |
402 |
ENDDO |
403 |
ENDDO |
404 |
C end if GGL90diffTKEh .eq. 0. |
405 |
ENDIF |
406 |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
407 |
|
408 |
DO j=jMin,jMax |
409 |
DO i=iMin,iMax |
410 |
C vertical shear term (dU/dz)^2+(dV/dz)^2 |
411 |
tempU= .5 _d 0*( uVel(i,j,km1,bi,bj)+uVel(i+1,j,km1,bi,bj) |
412 |
& -( uVel(i,j,k ,bi,bj)+uVel(i+1,j,k ,bi,bj)) ) |
413 |
& *recip_drC(k) |
414 |
#ifdef ALLOW_GGL90_IDEMIX |
415 |
& *recip_hFacI(i,j,k,bi,bj) |
416 |
#endif |
417 |
tempV= .5 _d 0*( vVel(i,j,km1,bi,bj)+vVel(i,j+1,km1,bi,bj) |
418 |
& -( vVel(i,j,k ,bi,bj)+vVel(i,j+1,k ,bi,bj)) ) |
419 |
& *recip_drC(k) |
420 |
#ifdef ALLOW_GGL90_IDEMIX |
421 |
& *recip_hFacI(i,j,k,bi,bj) |
422 |
#endif |
423 |
verticalShear = tempU*tempU + tempV*tempV |
424 |
|
425 |
C viscosity and diffusivity |
426 |
KappaM = GGL90ck*GGL90mixingLength(i,j,k)*SQRTTKE(i,j,k) |
427 |
GGL90visctmp(i,j,k) = MAX(KappaM,diffKrNrT(k)) |
428 |
& * maskC(i,j,k,bi,bj) |
429 |
c note: storing GGL90visctmp like this, and using it later to compute |
430 |
c GGL9rdiffKr etc. is robust in case of smoothing (e.g. see OPA) |
431 |
KappaM = MAX(KappaM,viscArNr(k)) * maskC(i,j,k,bi,bj) |
432 |
|
433 |
C compute Prandtl number (always greater than 0) |
434 |
RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
435 |
CML IDEMIX_RiNumber = 1./GGL90eps |
436 |
#ifdef ALLOW_GGL90_IDEMIX |
437 |
IDEMIX_RiNumber = MAX( KappaM*Nsquare(i,j,k), 0. _d 0)/ |
438 |
& (GGL90eps+IDEMIX_tau_d(i,j,k,bi,bj)*IDEMIX_E(i,j,k,bi,bj)**2) |
439 |
prTemp = MIN(5.*RiNumber, 6.6*IDEMIX_RiNumber) |
440 |
#else |
441 |
IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
442 |
#endif /* ALLOW_GGL90_IDEMIX */ |
443 |
TKEPrandtlNumber(i,j,k) = MIN(10. _d 0,prTemp) |
444 |
TKEPrandtlNumber(i,j,k) = MAX( 1. _d 0,TKEPrandtlNumber(i,j,k)) |
445 |
|
446 |
c diffusivity |
447 |
KappaH = KappaM/TKEPrandtlNumber(i,j,k) |
448 |
KappaE(i,j,k) = GGL90alpha * KappaM * maskC(i,j,k,bi,bj) |
449 |
|
450 |
C dissipation term |
451 |
TKEdissipation = explDissFac*GGL90ceps |
452 |
& *SQRTTKE(i,j,k)*rMixingLength(i,j,k) |
453 |
& *GGL90TKE(i,j,k,bi,bj) |
454 |
C partial update with sum of explicit contributions |
455 |
GGL90TKE(i,j,k,bi,bj) = GGL90TKE(i,j,k,bi,bj) |
456 |
& + deltaTggl90*( |
457 |
& + KappaM*verticalShear |
458 |
& - KappaH*Nsquare(i,j,k) |
459 |
& - TKEdissipation |
460 |
#ifdef ALLOW_GGL90_IDEMIX |
461 |
& + IDEMIX_tau_d(i,j,k,bi,bj)*IDEMIX_E(i,j,k,bi,bj)**2 |
462 |
#endif |
463 |
& ) |
464 |
ENDDO |
465 |
ENDDO |
466 |
|
467 |
#ifdef ALLOW_GGL90_HORIZDIFF |
468 |
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
469 |
C-- Add horiz. diffusion tendency |
470 |
DO j=jMin,jMax |
471 |
DO i=iMin,iMax |
472 |
GGL90TKE(i,j,k,bi,bj) = GGL90TKE(i,j,k,bi,bj) |
473 |
& + gTKE(i,j)*deltaTggl90 |
474 |
ENDDO |
475 |
ENDDO |
476 |
ENDIF |
477 |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
478 |
|
479 |
C-- end of k loop |
480 |
ENDDO |
481 |
|
482 |
C ============================================ |
483 |
C Implicit time step to update TKE for k=1,Nr; |
484 |
C TKE(Nr+1)=0 by default |
485 |
C ============================================ |
486 |
C set up matrix |
487 |
C-- Lower diagonal |
488 |
DO j=jMin,jMax |
489 |
DO i=iMin,iMax |
490 |
a3d(i,j,1) = 0. _d 0 |
491 |
ENDDO |
492 |
ENDDO |
493 |
DO k=2,Nr |
494 |
km1=MAX(2,k-1) |
495 |
DO j=jMin,jMax |
496 |
DO i=iMin,iMax |
497 |
C- We keep recip_hFacC in the diffusive flux calculation, |
498 |
C- but no hFacC in TKE volume control |
499 |
C- No need for maskC(k-1) with recip_hFacC(k-1) |
500 |
a3d(i,j,k) = -deltaTggl90 |
501 |
& *recip_drF(k-1)*recip_hFacC(i,j,k-1,bi,bj) |
502 |
& *.5 _d 0*(KappaE(i,j, k )+KappaE(i,j,km1)) |
503 |
& *recip_drC(k)*maskC(i,j,k,bi,bj) |
504 |
#ifdef ALLOW_GGL90_IDEMIX |
505 |
& *recip_hFacI(i,j,k,bi,bj) |
506 |
#endif |
507 |
ENDDO |
508 |
ENDDO |
509 |
ENDDO |
510 |
C-- Upper diagonal |
511 |
DO j=jMin,jMax |
512 |
DO i=iMin,iMax |
513 |
c3d(i,j,1) = 0. _d 0 |
514 |
ENDDO |
515 |
ENDDO |
516 |
DO k=2,Nr |
517 |
DO j=jMin,jMax |
518 |
DO i=iMin,iMax |
519 |
kp1=MAX(1,MIN(klowC(i,j,bi,bj),k+1)) |
520 |
C- We keep recip_hFacC in the diffusive flux calculation, |
521 |
C- but no hFacC in TKE volume control |
522 |
C- No need for maskC(k) with recip_hFacC(k) |
523 |
c3d(i,j,k) = -deltaTggl90 |
524 |
& *recip_drF( k ) * recip_hFacC(i,j,k,bi,bj) |
525 |
& *.5 _d 0*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
526 |
& *recip_drC(k)*maskC(i,j,k-1,bi,bj) |
527 |
#ifdef ALLOW_GGL90_IDEMIX |
528 |
& *recip_hFacI(i,j,k,bi,bj) |
529 |
#endif |
530 |
ENDDO |
531 |
ENDDO |
532 |
ENDDO |
533 |
|
534 |
IF (.NOT.GGL90_dirichlet) THEN |
535 |
C Neumann bottom boundary condition for TKE: no flux from bottom |
536 |
DO j=jMin,jMax |
537 |
DO i=iMin,iMax |
538 |
kBottom = MAX(kLowC(i,j,bi,bj),1) |
539 |
c3d(i,j,kBottom) = 0. _d 0 |
540 |
ENDDO |
541 |
ENDDO |
542 |
ENDIF |
543 |
|
544 |
C-- Center diagonal |
545 |
DO k=1,Nr |
546 |
km1 = MAX(k-1,1) |
547 |
DO j=jMin,jMax |
548 |
DO i=iMin,iMax |
549 |
b3d(i,j,k) = 1. _d 0 - c3d(i,j,k) - a3d(i,j,k) |
550 |
& + implDissFac*deltaTggl90*GGL90ceps*SQRTTKE(i,j,k) |
551 |
& * rMixingLength(i,j,k) |
552 |
& * maskC(i,j,k,bi,bj)*maskC(i,j,km1,bi,bj) |
553 |
ENDDO |
554 |
ENDDO |
555 |
ENDDO |
556 |
C end set up matrix |
557 |
|
558 |
C Apply boundary condition |
559 |
kp1 = MIN(Nr,kSurf+1) |
560 |
DO j=jMin,jMax |
561 |
DO i=iMin,iMax |
562 |
C estimate friction velocity uStar from surface forcing |
563 |
uStarSquare = SQRT( |
564 |
& ( .5 _d 0*( surfaceForcingU(i, j, bi,bj) |
565 |
& + surfaceForcingU(i+1,j, bi,bj) ) )**2 |
566 |
& + ( .5 _d 0*( surfaceForcingV(i, j, bi,bj) |
567 |
& + surfaceForcingV(i, j+1,bi,bj) ) )**2 |
568 |
& ) |
569 |
C Dirichlet surface boundary condition for TKE |
570 |
GGL90TKE(i,j,kSurf,bi,bj) = maskC(i,j,kSurf,bi,bj) |
571 |
& *MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
572 |
GGL90TKE(i,j,kp1,bi,bj) = GGL90TKE(i,j,kp1,bi,bj) |
573 |
& - a3d(i,j,kp1)*GGL90TKE(i,j,kSurf,bi,bj) |
574 |
a3d(i,j,kp1) = 0. _d 0 |
575 |
ENDDO |
576 |
ENDDO |
577 |
|
578 |
IF (GGL90_dirichlet) THEN |
579 |
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
580 |
DO j=jMin,jMax |
581 |
DO i=iMin,iMax |
582 |
kBottom = MAX(kLowC(i,j,bi,bj),1) |
583 |
GGL90TKE(i,j,kBottom,bi,bj) = GGL90TKE(i,j,kBottom,bi,bj) |
584 |
& - GGL90TKEbottom*c3d(i,j,kBottom) |
585 |
c3d(i,j,kBottom) = 0. _d 0 |
586 |
ENDDO |
587 |
ENDDO |
588 |
ENDIF |
589 |
|
590 |
C solve tri-diagonal system |
591 |
CALL SOLVE_TRIDIAGONAL( iMin,iMax, jMin,jMax, |
592 |
I a3d, b3d, c3d, |
593 |
U GGL90TKE(1-OLx,1-OLy,1,bi,bj), |
594 |
O errCode, |
595 |
I bi, bj, myThid ) |
596 |
|
597 |
DO k=1,Nr |
598 |
DO j=jMin,jMax |
599 |
DO i=iMin,iMax |
600 |
C impose minimum TKE to avoid numerical undershoots below zero |
601 |
GGL90TKE(i,j,k,bi,bj) = maskC(i,j,k,bi,bj) |
602 |
& *MAX( GGL90TKE(i,j,k,bi,bj), GGL90TKEmin ) |
603 |
ENDDO |
604 |
ENDDO |
605 |
ENDDO |
606 |
|
607 |
C end of time step |
608 |
C =============================== |
609 |
|
610 |
DO k=2,Nr |
611 |
DO j=1,sNy |
612 |
DO i=1,sNx |
613 |
#ifdef ALLOW_GGL90_SMOOTH |
614 |
tmpVisc= |
615 |
& ( |
616 |
& p4 * GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
617 |
& +p8 *( GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj) |
618 |
& + GGL90visctmp(i ,j-1,k) * mskCor(i ,j-1,bi,bj) |
619 |
& + GGL90visctmp(i+1,j ,k) * mskCor(i+1,j ,bi,bj) |
620 |
& + GGL90visctmp(i ,j+1,k) * mskCor(i ,j+1,bi,bj)) |
621 |
& +p16*( GGL90visctmp(i+1,j+1,k) * mskCor(i+1,j+1,bi,bj) |
622 |
& + GGL90visctmp(i+1,j-1,k) * mskCor(i+1,j-1,bi,bj) |
623 |
& + GGL90visctmp(i-1,j+1,k) * mskCor(i-1,j+1,bi,bj) |
624 |
& + GGL90visctmp(i-1,j-1,k) * mskCor(i-1,j-1,bi,bj)) |
625 |
& ) |
626 |
& /(p4 |
627 |
& +p8 *( maskC(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
628 |
& + maskC(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
629 |
& + maskC(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
630 |
& + maskC(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
631 |
& +p16*( maskC(i+1,j+1,k,bi,bj) * mskCor(i+1,j+1,bi,bj) |
632 |
& + maskC(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj) |
633 |
& + maskC(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
634 |
& + maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj)) |
635 |
& )*maskC(i,j,k,bi,bj)*mskCor(i,j,bi,bj) |
636 |
#else |
637 |
tmpVisc = GGL90visctmp(i,j,k) |
638 |
#endif |
639 |
tmpVisc = MIN(tmpVisc/TKEPrandtlNumber(i,j,k),GGL90diffMax) |
640 |
GGL90diffKr(i,j,k,bi,bj)= MAX( tmpVisc , diffKrNrT(k) ) |
641 |
ENDDO |
642 |
ENDDO |
643 |
ENDDO |
644 |
|
645 |
DO k=2,Nr |
646 |
DO j=1,sNy |
647 |
DO i=1,sNx+1 |
648 |
#ifdef ALLOW_GGL90_SMOOTH |
649 |
tmpVisc = |
650 |
& ( |
651 |
& p4 *(GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
652 |
& +GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj)) |
653 |
& +p8 *(GGL90visctmp(i-1,j-1,k) * mskCor(i-1,j-1,bi,bj) |
654 |
& +GGL90visctmp(i-1,j+1,k) * mskCor(i-1,j+1,bi,bj) |
655 |
& +GGL90visctmp(i ,j-1,k) * mskCor(i ,j-1,bi,bj) |
656 |
& +GGL90visctmp(i ,j+1,k) * mskCor(i ,j+1,bi,bj)) |
657 |
& ) |
658 |
& /(p4 * 2. _d 0 |
659 |
& +p8 *( maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj) |
660 |
& + maskC(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
661 |
& + maskC(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
662 |
& + maskC(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
663 |
& ) |
664 |
& *maskC(i ,j,k,bi,bj)*mskCor(i ,j,bi,bj) |
665 |
& *maskC(i-1,j,k,bi,bj)*mskCor(i-1,j,bi,bj) |
666 |
#else |
667 |
tmpVisc = _maskW(i,j,k,bi,bj) * |
668 |
& (.5 _d 0*(GGL90visctmp(i,j,k) |
669 |
& +GGL90visctmp(i-1,j,k)) |
670 |
& ) |
671 |
#endif |
672 |
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
673 |
GGL90viscArU(i,j,k,bi,bj) = MAX( tmpVisc, viscArNr(k) ) |
674 |
ENDDO |
675 |
ENDDO |
676 |
ENDDO |
677 |
|
678 |
DO k=2,Nr |
679 |
DO j=1,sNy+1 |
680 |
DO i=1,sNx |
681 |
#ifdef ALLOW_GGL90_SMOOTH |
682 |
tmpVisc = |
683 |
& ( |
684 |
& p4 *(GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
685 |
& +GGL90visctmp(i ,j-1,k) * mskCor(i ,j-1,bi,bj)) |
686 |
& +p8 *(GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj) |
687 |
& +GGL90visctmp(i-1,j-1,k) * mskCor(i-1,j-1,bi,bj) |
688 |
& +GGL90visctmp(i+1,j ,k) * mskCor(i+1,j ,bi,bj) |
689 |
& +GGL90visctmp(i+1,j-1,k) * mskCor(i+1,j-1,bi,bj)) |
690 |
& ) |
691 |
& /(p4 * 2. _d 0 |
692 |
& +p8 *( maskC(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
693 |
& + maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj) |
694 |
& + maskC(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
695 |
& + maskC(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj)) |
696 |
& ) |
697 |
& *maskC(i,j ,k,bi,bj)*mskCor(i,j ,bi,bj) |
698 |
& *maskC(i,j-1,k,bi,bj)*mskCor(i,j-1,bi,bj) |
699 |
#else |
700 |
tmpVisc = _maskS(i,j,k,bi,bj) * |
701 |
& (.5 _d 0*(GGL90visctmp(i,j,k) |
702 |
& +GGL90visctmp(i,j-1,k)) |
703 |
& ) |
704 |
|
705 |
#endif |
706 |
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
707 |
GGL90viscArV(i,j,k,bi,bj) = MAX( tmpVisc, viscArNr(k) ) |
708 |
ENDDO |
709 |
ENDDO |
710 |
ENDDO |
711 |
|
712 |
#ifdef ALLOW_DIAGNOSTICS |
713 |
IF ( useDiagnostics ) THEN |
714 |
CALL DIAGNOSTICS_FILL( GGL90TKE ,'GGL90TKE', |
715 |
& 0,Nr, 1, bi, bj, myThid ) |
716 |
CALL DIAGNOSTICS_FILL( GGL90viscArU,'GGL90ArU', |
717 |
& 0,Nr, 1, bi, bj, myThid ) |
718 |
CALL DIAGNOSTICS_FILL( GGL90viscArV,'GGL90ArV', |
719 |
& 0,Nr, 1, bi, bj, myThid ) |
720 |
CALL DIAGNOSTICS_FILL( GGL90diffKr,'GGL90Kr ', |
721 |
& 0,Nr, 1, bi, bj, myThid ) |
722 |
CALL DIAGNOSTICS_FILL( TKEPrandtlNumber ,'GGL90Prl', |
723 |
& 0,Nr, 2, bi, bj, myThid ) |
724 |
CALL DIAGNOSTICS_FILL( GGL90mixingLength,'GGL90Lmx', |
725 |
& 0,Nr, 2, bi, bj, myThid ) |
726 |
|
727 |
kp1 = MIN(Nr,kSurf+1) |
728 |
DO j=jMin,jMax |
729 |
DO i=iMin,iMax |
730 |
c diagnose surface flux of TKE |
731 |
surf_flx_tke(i,j) =(GGL90TKE(i,j,kSurf,bi,bj)- |
732 |
& GGL90TKE(i,j,kp1,bi,bj)) |
733 |
& *recip_drF(kSurf)*recip_hFacC(i,j,kSurf,bi,bj) |
734 |
& *KappaE(i,j,kp1) |
735 |
|
736 |
ENDDO |
737 |
ENDDO |
738 |
CALL DIAGNOSTICS_FILL(surf_flx_tke,'GGL90flx', |
739 |
& 0,1,1,bi,bj,myThid) |
740 |
|
741 |
k=kSurf |
742 |
DO j=jMin,jMax |
743 |
DO i=iMin,iMax |
744 |
c diagnose work done by the wind |
745 |
surf_flx_tke(i,j) = |
746 |
& .5 _d 0*( surfaceForcingU(i, j,bi,bj)*uvel(i ,j,k,bi,bj) |
747 |
& +surfaceForcingU(i+1,j,bi,bj)*uvel(i+1,j,k,bi,bj)) |
748 |
& + .5 _d 0*( surfaceForcingV(i,j, bi,bj)*vvel(i,j ,k,bi,bj) |
749 |
& +surfaceForcingV(i,j+1,bi,bj)*vvel(i,j+1,k,bi,bj)) |
750 |
ENDDO |
751 |
ENDDO |
752 |
CALL DIAGNOSTICS_FILL(surf_flx_tke,'GGL90tau', |
753 |
& 0,1,1,bi,bj,myThid) |
754 |
|
755 |
|
756 |
ENDIF |
757 |
#endif /* ALLOW_DIAGNOSTICS */ |
758 |
|
759 |
#endif /* ALLOW_GGL90 */ |
760 |
|
761 |
RETURN |
762 |
END |