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C $Header: /u/gcmpack/MITgcm/pkg/ggl90/ggl90_calc.F,v 1.14 2009/10/31 03:18:50 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, myTime, 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 :: array indices on which to apply calculations |
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C myTime :: Current time in simulation |
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C myThid :: My Thread Id number |
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INTEGER bi, bj |
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_RL myTime |
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INTEGER myThid |
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CEOP |
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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, I, J - array computation indices |
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C K, Kp1, km1, kSurf, kBottom - vertical loop indices |
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C ab15, ab05 - weights for implicit timestepping |
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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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C rhoK, rhoKm1 - density at layer K and Km1 (relative to K) |
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C gTKE - right hand side of implicit equation |
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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 ab15, ab05 |
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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 TKEdissipation |
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_RL tempU, tempV, prTemp |
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_RL MaxLength, tmpmlx |
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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 rhoK (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rhoKm1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL totalDepth (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL gTKE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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C- tri-diagonal matrix |
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_RL a(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL c(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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_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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#endif /* ALLOW_GGL90_HORIZDIFF */ |
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#ifdef ALLOW_GGL90_SMOOTH |
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_RL p4, p8, p16, tmpdiffKrS |
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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 implicit timestepping weights for dissipation |
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ab15 = 1.5 _d 0 |
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ab05 = -0.5 _d 0 |
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ab15 = 1. _d 0 |
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ab05 = 0. _d 0 |
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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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gTKE(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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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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rhoK(I,J) = 0. _d 0 |
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rhoKm1(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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ENDDO |
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ENDDO |
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|
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C start k-loop |
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DO K = 2, Nr |
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Km1 = K-1 |
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c Kp1 = MIN(Nr,K+1) |
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CALL FIND_RHO_2D( |
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I iMin, iMax, jMin, jMax, K, |
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I theta(1-OLx,1-OLy,Km1,bi,bj), salt(1-OLx,1-OLy,Km1,bi,bj), |
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O rhoKm1, |
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I Km1, bi, bj, myThid ) |
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|
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CALL FIND_RHO_2D( |
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I iMin, iMax, jMin, jMax, K, |
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I theta(1-OLx,1-OLy,K,bi,bj), salt(1-OLx,1-OLy,K,bi,bj), |
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O rhoK, |
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I K, bi, bj, myThid ) |
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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*recip_rhoConst*recip_drC(K) |
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& * ( rhoKm1(I,J) - rhoK(I,J) )*maskC(I,J,K,bi,bj) |
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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- Impose upper and lower bound for mixing length |
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IF ( mxlMaxFlag .EQ. 0 ) THEN |
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C- |
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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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C- |
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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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C- |
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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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C- |
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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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DO J=jMin,jMax |
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DO I=iMin,iMax |
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C vertical shear term (dU/dz)^2+(dV/dz)^2 |
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tempU= .5 _d 0*( uVel(I,J,Km1,bi,bj)+uVel(I+1,J,Km1,bi,bj) |
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& -( uVel(I,J,K ,bi,bj)+uVel(I+1,J,K ,bi,bj)) ) |
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& *recip_drC(K) |
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tempV= .5 _d 0*( vVel(I,J,Km1,bi,bj)+vVel(I,J+1,Km1,bi,bj) |
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& -( vVel(I,J,K ,bi,bj)+vVel(I,J+1,K ,bi,bj)) ) |
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& *recip_drC(K) |
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verticalShear = tempU*tempU + tempV*tempV |
340 |
RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
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C compute Prandtl number (always greater than 0) |
342 |
prTemp = 1. _d 0 |
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IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
344 |
TKEPrandtlNumber(I,J,K) = MIN(10. _d 0,prTemp) |
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c TKEPrandtlNumber(I,J,K) = 1. _d 0 |
346 |
|
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C viscosity and diffusivity |
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KappaM = GGL90ck*GGL90mixingLength(I,J,K)*SQRTTKE(i,j,k) |
349 |
KappaH = KappaM/TKEPrandtlNumber(I,J,K) |
350 |
|
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C Set a minium (= background) and maximum value |
352 |
KappaM = MAX(KappaM,viscArNr(k)) |
353 |
KappaH = MAX(KappaH,diffKrNrT(k)) |
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KappaM = MIN(KappaM,GGL90viscMax) |
355 |
KappaH = MIN(KappaH,GGL90diffMax) |
356 |
|
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C Mask land points and storage |
358 |
GGL90viscAr(I,J,K,bi,bj) = KappaM * maskC(I,J,K,bi,bj) |
359 |
GGL90diffKr(I,J,K,bi,bj) = KappaH * maskC(I,J,K,bi,bj) |
360 |
KappaE(I,J,K) = GGL90alpha * GGL90viscAr(I,J,K,bi,bj) |
361 |
|
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C dissipation term |
363 |
TKEdissipation = ab05*GGL90ceps |
364 |
& *SQRTTKE(i,j,k)*rMixingLength(I,J,K) |
365 |
& *GGL90TKE(I,J,K,bi,bj) |
366 |
C sum up contributions to form the right hand side |
367 |
gTKE(I,J,K) = GGL90TKE(I,J,K,bi,bj) |
368 |
& + deltaTggl90*( |
369 |
& + KappaM*verticalShear |
370 |
& - KappaH*Nsquare(i,j,k) |
371 |
& - TKEdissipation |
372 |
& ) |
373 |
ENDDO |
374 |
ENDDO |
375 |
ENDDO |
376 |
|
377 |
C horizontal diffusion of TKE (requires an exchange in |
378 |
C do_fields_blocking_exchanges) |
379 |
#ifdef ALLOW_GGL90_HORIZDIFF |
380 |
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
381 |
DO K=2,Nr |
382 |
C common factors |
383 |
DO j=1-Oly,sNy+Oly |
384 |
DO i=1-Olx,sNx+Olx |
385 |
xA(i,j) = _dyG(i,j,bi,bj) |
386 |
& *drF(k)*_hFacW(i,j,k,bi,bj) |
387 |
yA(i,j) = _dxG(i,j,bi,bj) |
388 |
& *drF(k)*_hFacS(i,j,k,bi,bj) |
389 |
ENDDO |
390 |
ENDDO |
391 |
C Compute diffusive fluxes |
392 |
C ... across x-faces |
393 |
DO j=1-Oly,sNy+Oly |
394 |
dfx(1-Olx,j)=0. _d 0 |
395 |
DO i=1-Olx+1,sNx+Olx |
396 |
dfx(i,j) = -GGL90diffTKEh*xA(i,j) |
397 |
& *_recip_dxC(i,j,bi,bj) |
398 |
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i-1,j,k,bi,bj)) |
399 |
& *CosFacU(j,bi,bj) |
400 |
ENDDO |
401 |
ENDDO |
402 |
C ... across y-faces |
403 |
DO i=1-Olx,sNx+Olx |
404 |
dfy(i,1-Oly)=0. _d 0 |
405 |
ENDDO |
406 |
DO j=1-Oly+1,sNy+Oly |
407 |
DO i=1-Olx,sNx+Olx |
408 |
dfy(i,j) = -GGL90diffTKEh*yA(i,j) |
409 |
& *_recip_dyC(i,j,bi,bj) |
410 |
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i,j-1,k,bi,bj)) |
411 |
#ifdef ISOTROPIC_COS_SCALING |
412 |
& *CosFacV(j,bi,bj) |
413 |
#endif /* ISOTROPIC_COS_SCALING */ |
414 |
ENDDO |
415 |
ENDDO |
416 |
C Compute divergence of fluxes |
417 |
DO j=1-Oly,sNy+Oly-1 |
418 |
DO i=1-Olx,sNx+Olx-1 |
419 |
gTKE(i,j,k)=gTKE(i,j,k) |
420 |
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k)*recip_rA(i,j,bi,bj) |
421 |
& *( (dfx(i+1,j)-dfx(i,j)) |
422 |
& +(dfy(i,j+1)-dfy(i,j)) |
423 |
& )*deltaTggl90 |
424 |
ENDDO |
425 |
ENDDO |
426 |
C end of k-loop |
427 |
ENDDO |
428 |
C end if GGL90diffTKEh .eq. 0. |
429 |
ENDIF |
430 |
#endif /* ALLOW_GGL90_HORIZDIFF */ |
431 |
|
432 |
C ============================================ |
433 |
C Implicit time step to update TKE for k=1,Nr; |
434 |
C TKE(Nr+1)=0 by default |
435 |
C ============================================ |
436 |
C set up matrix |
437 |
C-- Lower diagonal |
438 |
DO j=jMin,jMax |
439 |
DO i=iMin,iMax |
440 |
a(i,j,1) = 0. _d 0 |
441 |
ENDDO |
442 |
ENDDO |
443 |
DO k=2,Nr |
444 |
km1=MAX(2,k-1) |
445 |
DO j=jMin,jMax |
446 |
DO i=iMin,iMax |
447 |
C- We keep recip_hFacC in the diffusive flux calculation, |
448 |
C- but no hFacC in TKE volume control |
449 |
C- No need for maskC(k-1) with recip_hFacC(k-1) |
450 |
a(i,j,k) = -deltaTggl90 |
451 |
& *recip_drF(k-1)*recip_hFacC(i,j,k-1,bi,bj) |
452 |
& *.5 _d 0*(KappaE(i,j, k )+KappaE(i,j,km1)) |
453 |
& *recip_drC(k)*maskC(i,j,k,bi,bj) |
454 |
ENDDO |
455 |
ENDDO |
456 |
ENDDO |
457 |
C-- Upper diagonal |
458 |
DO j=jMin,jMax |
459 |
DO i=iMin,iMax |
460 |
c(i,j,1) = 0. _d 0 |
461 |
ENDDO |
462 |
ENDDO |
463 |
DO k=2,Nr |
464 |
DO j=jMin,jMax |
465 |
DO i=iMin,iMax |
466 |
kp1=MAX(1,MIN(klowC(i,j,bi,bj),k+1)) |
467 |
C- We keep recip_hFacC in the diffusive flux calculation, |
468 |
C- but no hFacC in TKE volume control |
469 |
C- No need for maskC(k) with recip_hFacC(k) |
470 |
c(i,j,k) = -deltaTggl90 |
471 |
& *recip_drF( k ) * recip_hFacC(i,j,k,bi,bj) |
472 |
& *.5 _d 0*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
473 |
& *recip_drC(k)*maskC(i,j,k-1,bi,bj) |
474 |
ENDDO |
475 |
ENDDO |
476 |
ENDDO |
477 |
C-- Center diagonal |
478 |
DO k=1,Nr |
479 |
km1 = MAX(k-1,1) |
480 |
DO j=jMin,jMax |
481 |
DO i=iMin,iMax |
482 |
b(i,j,k) = 1. _d 0 - c(i,j,k) - a(i,j,k) |
483 |
& + ab15*deltaTggl90*GGL90ceps*SQRTTKE(I,J,K) |
484 |
& * rMixingLength(I,J,K) |
485 |
& * maskC(i,j,k,bi,bj)*maskC(i,j,km1,bi,bj) |
486 |
ENDDO |
487 |
ENDDO |
488 |
ENDDO |
489 |
C end set up matrix |
490 |
|
491 |
C Apply boundary condition |
492 |
kp1 = MIN(Nr,kSurf+1) |
493 |
DO J=jMin,jMax |
494 |
DO I=iMin,iMax |
495 |
C estimate friction velocity uStar from surface forcing |
496 |
uStarSquare = SQRT( |
497 |
& ( .5 _d 0*( surfaceForcingU(I, J, bi,bj) |
498 |
& + surfaceForcingU(I+1,J, bi,bj) ) )**2 |
499 |
& + ( .5 _d 0*( surfaceForcingV(I, J, bi,bj) |
500 |
& + surfaceForcingV(I, J+1,bi,bj) ) )**2 |
501 |
& ) |
502 |
C Dirichlet surface boundary condition for TKE |
503 |
gTKE(I,J,kSurf) = MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
504 |
& *maskC(I,J,kSurf,bi,bj) |
505 |
gTKE(i,j,kp1) = gTKE(i,j,kp1) |
506 |
& - a(i,j,kp1)*gTKE(i,j,kSurf) |
507 |
a(i,j,kp1) = 0. _d 0 |
508 |
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
509 |
kBottom = MAX(kLowC(I,J,bi,bj),1) |
510 |
gTKE(I,J,kBottom) = gTKE(I,J,kBottom) |
511 |
& - GGL90TKEbottom*c(I,J,kBottom) |
512 |
c(I,J,kBottom) = 0. _d 0 |
513 |
ENDDO |
514 |
ENDDO |
515 |
|
516 |
C solve tri-diagonal system, and store solution on gTKE (previously rhs) |
517 |
CALL SOLVE_TRIDIAGONAL( iMin,iMax, jMin,jMax, |
518 |
I a, b, c, |
519 |
U gTKE, |
520 |
O errCode, |
521 |
I bi, bj, myThid ) |
522 |
c CALL GGL90_SOLVE( bi, bj, iMin, iMax, jMin, jMax, |
523 |
c I a, b, c, |
524 |
c U gTKE, |
525 |
c I myThid ) |
526 |
|
527 |
C now update TKE |
528 |
DO K=1,Nr |
529 |
DO J=jMin,jMax |
530 |
DO I=iMin,iMax |
531 |
C impose minimum TKE to avoid numerical undershoots below zero |
532 |
GGL90TKE(I,J,K,bi,bj) = MAX( gTKE(I,J,K), GGL90TKEmin ) |
533 |
& * maskC(I,J,K,bi,bj) |
534 |
ENDDO |
535 |
ENDDO |
536 |
ENDDO |
537 |
|
538 |
C end of time step |
539 |
C =============================== |
540 |
|
541 |
#ifdef ALLOW_GGL90_SMOOTH |
542 |
DO K=1,Nr |
543 |
DO J=jMin,jMax |
544 |
DO I=iMin,iMax |
545 |
tmpdiffKrS= |
546 |
& ( |
547 |
& p4 * GGL90viscAr(i ,j ,k,bi,bj) * mskCor(i ,j ,bi,bj) |
548 |
& +p8 *( GGL90viscAr(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
549 |
& + GGL90viscAr(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
550 |
& + GGL90viscAr(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
551 |
& + GGL90viscAr(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
552 |
& +p16*( GGL90viscAr(i+1,j+1,k,bi,bj) * mskCor(i+1,j+1,bi,bj) |
553 |
& + GGL90viscAr(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj) |
554 |
& + GGL90viscAr(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
555 |
& + GGL90viscAr(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj)) |
556 |
& ) |
557 |
& /(p4 |
558 |
& +p8 *( maskC(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
559 |
& + maskC(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
560 |
& + maskC(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
561 |
& + maskC(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
562 |
& +p16*( maskC(i+1,j+1,k,bi,bj) * mskCor(i+1,j+1,bi,bj) |
563 |
& + maskC(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj) |
564 |
& + maskC(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
565 |
& + maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj)) |
566 |
& )*maskC(i,j,k,bi,bj)*mskCor(i,j,bi,bj) |
567 |
& /TKEPrandtlNumber(i,j,k) |
568 |
GGL90diffKrS(I,J,K,bi,bj)= MAX( tmpdiffKrS , diffKrNrT(k) ) |
569 |
ENDDO |
570 |
ENDDO |
571 |
ENDDO |
572 |
#endif |
573 |
|
574 |
#ifdef ALLOW_DIAGNOSTICS |
575 |
IF ( useDiagnostics ) THEN |
576 |
CALL DIAGNOSTICS_FILL( GGL90TKE ,'GGL90TKE', |
577 |
& 0,Nr, 1, bi, bj, myThid ) |
578 |
CALL DIAGNOSTICS_FILL( GGL90viscAr,'GGL90Ar ', |
579 |
& 0,Nr, 1, bi, bj, myThid ) |
580 |
CALL DIAGNOSTICS_FILL( GGL90diffKr,'GGL90Kr ', |
581 |
& 0,Nr, 1, bi, bj, myThid ) |
582 |
CALL DIAGNOSTICS_FILL( TKEPrandtlNumber ,'GGL90Prl', |
583 |
& 0,Nr, 2, bi, bj, myThid ) |
584 |
CALL DIAGNOSTICS_FILL( GGL90mixingLength,'GGL90Lmx', |
585 |
& 0,Nr, 2, bi, bj, myThid ) |
586 |
ENDIF |
587 |
#endif |
588 |
|
589 |
#endif /* ALLOW_GGL90 */ |
590 |
|
591 |
RETURN |
592 |
END |