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jmc |
1.12 |
C $Header: /u/gcmpack/MITgcm/pkg/ggl90/ggl90_calc.F,v 1.11 2009/01/30 02:23:56 dfer Exp $ |
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mlosch |
1.1 |
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, myTime, myThid ) |
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C !DESCRIPTION: \bv |
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jmc |
1.12 |
C *==========================================================* |
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mlosch |
1.1 |
C | SUBROUTINE GGL90_CALC | |
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C | o Compute all GGL90 fields defined in GGL90.h | |
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jmc |
1.12 |
C *==========================================================* |
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mlosch |
1.1 |
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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jmc |
1.12 |
C *==========================================================* |
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mlosch |
1.1 |
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C global parameters updated by ggl90_calc |
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jmc |
1.12 |
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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mlosch |
1.1 |
C |
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C \ev |
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C !USES: ============================================================ |
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jmc |
1.12 |
IMPLICIT NONE |
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mlosch |
1.1 |
#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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C !INPUT PARAMETERS: =================================================== |
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jmc |
1.12 |
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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mlosch |
1.1 |
INTEGER bi, bj |
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jmc |
1.12 |
_RL myTime |
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mlosch |
1.1 |
INTEGER myThid |
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jmc |
1.12 |
CEOP |
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mlosch |
1.1 |
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#ifdef ALLOW_GGL90 |
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C !LOCAL VARIABLES: ==================================================== |
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jmc |
1.12 |
C Local constants |
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mlosch |
1.1 |
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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jmc |
1.8 |
C Nsquare - squared buoyancy freqency |
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mlosch |
1.1 |
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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mlosch |
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C rMixingLength- inverse of mixing length |
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mlosch |
1.1 |
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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dfer |
1.11 |
c _RL Nsquare |
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_RL Nsquare(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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mlosch |
1.1 |
_RL deltaTggl90 |
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dfer |
1.11 |
c _RL SQRTTKE |
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_RL SQRTTKE(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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mlosch |
1.1 |
_RL RiNumber |
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_RL TKEdissipation |
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_RL tempU, tempV, prTemp |
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dfer |
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_RL MaxLength |
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mlosch |
1.1 |
_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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mlosch |
1.7 |
_RL rMixingLength(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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mlosch |
1.1 |
_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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mlosch |
1.2 |
#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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dfer |
1.11 |
#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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mlosch |
1.1 |
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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C set separate time step (should be deltaTtracer) |
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jmc |
1.4 |
deltaTggl90 = dTtracerLev(1) |
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jmc |
1.12 |
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mlosch |
1.1 |
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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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) = 0. _d 0 |
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mlosch |
1.7 |
GGL90mixingLength(I,J,K) = GGL90mixingLengthMin |
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rMixingLength(I,J,K) = 0. _d 0 |
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mlosch |
1.1 |
ENDDO |
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jmc |
1.8 |
ENDDO |
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mlosch |
1.1 |
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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jmc |
1.8 |
rhoK (I,J) = 0. _d 0 |
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rhoKm1 (I,J) = 0. _d 0 |
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dfer |
1.11 |
totalDepth(I,J) = Ro_surf(i,j,bi,bj) - R_low(i,j,bi,bj) |
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mlosch |
1.1 |
ENDDO |
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ENDDO |
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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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dfer |
1.11 |
c Kp1 = MIN(Nr,K+1) |
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jmc |
1.8 |
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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mlosch |
1.1 |
O rhoKm1, |
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jmc |
1.8 |
I Km1, bi, bj, myThid ) |
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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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mlosch |
1.1 |
O rhoK, |
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jmc |
1.8 |
I K, bi, bj, myThid ) |
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mlosch |
1.1 |
DO J=jMin,jMax |
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DO I=iMin,iMax |
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dfer |
1.11 |
SQRTTKE(i,j,k)=SQRT( GGL90TKE(I,J,K,bi,bj) ) |
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mlosch |
1.1 |
C |
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C buoyancy frequency |
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C |
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dfer |
1.11 |
Nsquare(i,j,k) = - gravity*recip_rhoConst*recip_drC(K) |
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mlosch |
1.1 |
& * ( rhoKm1(I,J) - rhoK(I,J) )*maskC(I,J,K,bi,bj) |
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dfer |
1.11 |
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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C- Impose upper bound for mixing length (total depth) |
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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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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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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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jmc |
1.12 |
ENDDO |
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ENDDO |
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dfer |
1.11 |
ENDDO |
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ELSE |
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STOP 'GGL90_CALC: Wrong mxlMaxFlag (mixing lenght limit)' |
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ENDIF |
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242 |
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C- Impose minimum mixing length (to avoid division by zero) |
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DO k=2,Nr |
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DO J=jMin,jMax |
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DO I=iMin,iMax |
246 |
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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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DO k=2,Nr |
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Km1 = K-1 |
255 |
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DO J=jMin,jMax |
256 |
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DO I=iMin,iMax |
257 |
mlosch |
1.1 |
C vertical shear term (dU/dz)^2+(dV/dz)^2 |
258 |
dfer |
1.11 |
tempU= .5 _d 0*( uVel(I,J,Km1,bi,bj)+uVel(I+1,J,Km1,bi,bj) |
259 |
dfer |
1.10 |
& -( uVel(I,J,K ,bi,bj)+uVel(I+1,J,K ,bi,bj)) ) |
260 |
mlosch |
1.1 |
& *recip_drC(K) |
261 |
dfer |
1.11 |
tempV= .5 _d 0*( vVel(I,J,Km1,bi,bj)+vVel(I,J+1,Km1,bi,bj) |
262 |
dfer |
1.10 |
& -( vVel(I,J,K ,bi,bj)+vVel(I,J+1,K ,bi,bj)) ) |
263 |
mlosch |
1.1 |
& *recip_drC(K) |
264 |
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verticalShear = tempU*tempU + tempV*tempV |
265 |
jmc |
1.12 |
RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
266 |
mlosch |
1.1 |
C compute Prandtl number (always greater than 0) |
267 |
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prTemp = 1. _d 0 |
268 |
dfer |
1.10 |
IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
269 |
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TKEPrandtlNumber(I,J,K) = MIN(10. _d 0,prTemp) |
270 |
dfer |
1.11 |
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271 |
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C viscosity and diffusivity |
272 |
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KappaM = GGL90ck*GGL90mixingLength(I,J,K)*SQRTTKE(i,j,k) |
273 |
dfer |
1.10 |
KappaH = KappaM/TKEPrandtlNumber(I,J,K) |
274 |
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275 |
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C Set a minium (= background) and maximum value |
276 |
jmc |
1.12 |
KappaM = MAX(KappaM,viscArNr(k)) |
277 |
dfer |
1.10 |
KappaH = MAX(KappaH,diffKrNrT(k)) |
278 |
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KappaM = MIN(KappaM,GGL90viscMax) |
279 |
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KappaH = MIN(KappaH,GGL90diffMax) |
280 |
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281 |
dfer |
1.11 |
C Mask land points and storage |
282 |
dfer |
1.10 |
GGL90viscAr(I,J,K,bi,bj) = KappaM * maskC(I,J,K,bi,bj) |
283 |
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GGL90diffKr(I,J,K,bi,bj) = KappaH * maskC(I,J,K,bi,bj) |
284 |
dfer |
1.11 |
KappaE(I,J,K) = GGL90alpha * GGL90viscAr(I,J,K,bi,bj) |
285 |
dfer |
1.10 |
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286 |
mlosch |
1.1 |
C dissipation term |
287 |
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TKEdissipation = ab05*GGL90ceps |
288 |
dfer |
1.11 |
& *SQRTTKE(i,j,k)*rMixingLength(I,J,K) |
289 |
jmc |
1.8 |
& *GGL90TKE(I,J,K,bi,bj) |
290 |
mlosch |
1.1 |
C sum up contributions to form the right hand side |
291 |
jmc |
1.8 |
gTKE(I,J,K) = GGL90TKE(I,J,K,bi,bj) |
292 |
mlosch |
1.1 |
& + deltaTggl90*( |
293 |
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& + KappaM*verticalShear |
294 |
dfer |
1.11 |
& - KappaH*Nsquare(i,j,k) |
295 |
jmc |
1.8 |
& - TKEdissipation |
296 |
mlosch |
1.1 |
& ) |
297 |
jmc |
1.8 |
ENDDO |
298 |
mlosch |
1.1 |
ENDDO |
299 |
mlosch |
1.2 |
ENDDO |
300 |
dfer |
1.11 |
|
301 |
jmc |
1.8 |
C horizontal diffusion of TKE (requires an exchange in |
302 |
|
|
C do_fields_blocking_exchanges) |
303 |
mlosch |
1.2 |
#ifdef ALLOW_GGL90_HORIZDIFF |
304 |
|
|
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
305 |
|
|
DO K=2,Nr |
306 |
|
|
C common factors |
307 |
|
|
DO j=1-Oly,sNy+Oly |
308 |
|
|
DO i=1-Olx,sNx+Olx |
309 |
|
|
xA(i,j) = _dyG(i,j,bi,bj) |
310 |
|
|
& *drF(k)*_hFacW(i,j,k,bi,bj) |
311 |
|
|
yA(i,j) = _dxG(i,j,bi,bj) |
312 |
|
|
& *drF(k)*_hFacS(i,j,k,bi,bj) |
313 |
|
|
ENDDO |
314 |
jmc |
1.8 |
ENDDO |
315 |
mlosch |
1.2 |
C Compute diffusive fluxes |
316 |
|
|
C ... across x-faces |
317 |
|
|
DO j=1-Oly,sNy+Oly |
318 |
dfer |
1.10 |
dfx(1-Olx,j)=0. _d 0 |
319 |
mlosch |
1.2 |
DO i=1-Olx+1,sNx+Olx |
320 |
|
|
dfx(i,j) = -GGL90diffTKEh*xA(i,j) |
321 |
|
|
& *_recip_dxC(i,j,bi,bj) |
322 |
|
|
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i-1,j,k,bi,bj)) |
323 |
|
|
& *CosFacU(j,bi,bj) |
324 |
|
|
ENDDO |
325 |
|
|
ENDDO |
326 |
|
|
C ... across y-faces |
327 |
|
|
DO i=1-Olx,sNx+Olx |
328 |
dfer |
1.10 |
dfy(i,1-Oly)=0. _d 0 |
329 |
mlosch |
1.2 |
ENDDO |
330 |
|
|
DO j=1-Oly+1,sNy+Oly |
331 |
|
|
DO i=1-Olx,sNx+Olx |
332 |
|
|
dfy(i,j) = -GGL90diffTKEh*yA(i,j) |
333 |
|
|
& *_recip_dyC(i,j,bi,bj) |
334 |
|
|
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i,j-1,k,bi,bj)) |
335 |
|
|
#ifdef ISOTROPIC_COS_SCALING |
336 |
|
|
& *CosFacV(j,bi,bj) |
337 |
|
|
#endif /* ISOTROPIC_COS_SCALING */ |
338 |
|
|
ENDDO |
339 |
jmc |
1.8 |
ENDDO |
340 |
mlosch |
1.2 |
C Compute divergence of fluxes |
341 |
|
|
DO j=1-Oly,sNy+Oly-1 |
342 |
|
|
DO i=1-Olx,sNx+Olx-1 |
343 |
|
|
gTKE(i,j,k)=gTKE(i,j,k) |
344 |
|
|
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k)*recip_rA(i,j,bi,bj) |
345 |
|
|
& *( (dfx(i+1,j)-dfx(i,j)) |
346 |
jmc |
1.8 |
& +(dfy(i,j+1)-dfy(i,j)) |
347 |
mlosch |
1.2 |
& ) |
348 |
jmc |
1.8 |
ENDDO |
349 |
mlosch |
1.2 |
ENDDO |
350 |
jmc |
1.8 |
C end of k-loop |
351 |
mlosch |
1.2 |
ENDDO |
352 |
|
|
C end if GGL90diffTKEh .eq. 0. |
353 |
|
|
ENDIF |
354 |
|
|
#endif /* ALLOW_GGL90_HORIZDIFF */ |
355 |
|
|
|
356 |
|
|
C ============================================ |
357 |
|
|
C Implicit time step to update TKE for k=1,Nr; |
358 |
|
|
C TKE(Nr+1)=0 by default |
359 |
|
|
C ============================================ |
360 |
mlosch |
1.1 |
C set up matrix |
361 |
mlosch |
1.2 |
C-- Lower diagonal |
362 |
mlosch |
1.1 |
DO j=jMin,jMax |
363 |
|
|
DO i=iMin,iMax |
364 |
jmc |
1.8 |
a(i,j,1) = 0. _d 0 |
365 |
mlosch |
1.1 |
ENDDO |
366 |
|
|
ENDDO |
367 |
|
|
DO k=2,Nr |
368 |
dfer |
1.11 |
km1=max(2,k-1) |
369 |
mlosch |
1.1 |
DO j=jMin,jMax |
370 |
|
|
DO i=iMin,iMax |
371 |
|
|
a(i,j,k) = -deltaTggl90 |
372 |
dfer |
1.11 |
c & *recip_drF(km1)*recip_hFacI(i,j,k,bi,bj) |
373 |
|
|
& *recip_drF(k-1)*recip_hFacC(i,j,k-1,bi,bj) |
374 |
dfer |
1.10 |
& *.5 _d 0*(KappaE(i,j, k )+KappaE(i,j,km1)) |
375 |
dfer |
1.11 |
& *recip_drC(k)*maskC(i,j,k,bi,bj)*maskC(i,j,k-1,bi,bj) |
376 |
mlosch |
1.1 |
ENDDO |
377 |
|
|
ENDDO |
378 |
|
|
ENDDO |
379 |
mlosch |
1.2 |
C-- Upper diagonal |
380 |
mlosch |
1.1 |
DO j=jMin,jMax |
381 |
|
|
DO i=iMin,iMax |
382 |
|
|
c(i,j,1) = 0. _d 0 |
383 |
|
|
ENDDO |
384 |
|
|
ENDDO |
385 |
dfer |
1.11 |
DO k=2,Nr |
386 |
mlosch |
1.1 |
DO j=jMin,jMax |
387 |
|
|
DO i=iMin,iMax |
388 |
dfer |
1.11 |
kp1=min(klowC(i,j,bi,bj),k+1) |
389 |
mlosch |
1.1 |
c(i,j,k) = -deltaTggl90 |
390 |
dfer |
1.11 |
c & *recip_drF( k )*recip_hFacI(i,j,k,bi,bj) |
391 |
|
|
& *recip_drF( k ) * recip_hFacC(i,j,k,bi,bj) |
392 |
|
|
& *.5 _d 0*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
393 |
|
|
& *recip_drC(k)*maskC(i,j,k,bi,bj)*maskC(i,j,k-1,bi,bj) |
394 |
mlosch |
1.1 |
ENDDO |
395 |
|
|
ENDDO |
396 |
|
|
ENDDO |
397 |
mlosch |
1.2 |
C-- Center diagonal |
398 |
mlosch |
1.1 |
DO k=1,Nr |
399 |
|
|
DO j=jMin,jMax |
400 |
|
|
DO i=iMin,iMax |
401 |
|
|
b(i,j,k) = 1. _d 0 - c(i,j,k) - a(i,j,k) |
402 |
|
|
& + ab15*deltaTggl90*GGL90ceps*SQRT(GGL90TKE(I,J,K,bi,bj)) |
403 |
dfer |
1.11 |
& *rMixingLength(I,J,K)*maskC(i,j,k,bi,bj) |
404 |
mlosch |
1.1 |
ENDDO |
405 |
|
|
ENDDO |
406 |
|
|
ENDDO |
407 |
|
|
C end set up matrix |
408 |
|
|
|
409 |
|
|
C |
410 |
|
|
C Apply boundary condition |
411 |
jmc |
1.8 |
C |
412 |
mlosch |
1.1 |
DO J=jMin,jMax |
413 |
|
|
DO I=iMin,iMax |
414 |
|
|
C estimate friction velocity uStar from surface forcing |
415 |
jmc |
1.8 |
uStarSquare = SQRT( |
416 |
dfer |
1.10 |
& ( .5 _d 0*( surfaceForcingU(I, J, bi,bj) |
417 |
mlosch |
1.1 |
& + surfaceForcingU(I+1,J, bi,bj) ) )**2 |
418 |
dfer |
1.10 |
& + ( .5 _d 0*( surfaceForcingV(I, J, bi,bj) |
419 |
mlosch |
1.1 |
& + surfaceForcingV(I, J+1,bi,bj) ) )**2 |
420 |
|
|
& ) |
421 |
|
|
C Dirichlet surface boundary condition for TKE |
422 |
mlosch |
1.6 |
gTKE(I,J,kSurf) = MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
423 |
mlosch |
1.1 |
& *maskC(I,J,kSurf,bi,bj) |
424 |
|
|
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
425 |
dfer |
1.11 |
kBottom = MAX(kLowC(I,J,bi,bj),1) |
426 |
jmc |
1.8 |
gTKE(I,J,kBottom) = gTKE(I,J,kBottom) |
427 |
dfer |
1.11 |
& - GGL90TKEbottom*c(I,J,kBottom) |
428 |
|
|
c(I,J,kBottom) = 0. _d 0 |
429 |
mlosch |
1.1 |
ENDDO |
430 |
jmc |
1.8 |
ENDDO |
431 |
mlosch |
1.1 |
C |
432 |
|
|
C solve tri-diagonal system, and store solution on gTKE (previously rhs) |
433 |
|
|
C |
434 |
|
|
CALL GGL90_SOLVE( bi, bj, iMin, iMax, jMin, jMax, |
435 |
|
|
I a, b, c, |
436 |
|
|
U gTKE, |
437 |
|
|
I myThid ) |
438 |
|
|
C |
439 |
|
|
C now update TKE |
440 |
jmc |
1.8 |
C |
441 |
mlosch |
1.1 |
DO K=1,Nr |
442 |
|
|
DO J=jMin,jMax |
443 |
|
|
DO I=iMin,iMax |
444 |
|
|
C impose minimum TKE to avoid numerical undershoots below zero |
445 |
jmc |
1.8 |
GGL90TKE(I,J,K,bi,bj) = MAX( gTKE(I,J,K), GGL90TKEmin ) |
446 |
mlosch |
1.1 |
& * maskC(I,J,K,bi,bj) |
447 |
|
|
ENDDO |
448 |
|
|
ENDDO |
449 |
jmc |
1.8 |
ENDDO |
450 |
dfer |
1.11 |
|
451 |
mlosch |
1.2 |
C end of time step |
452 |
|
|
C =============================== |
453 |
dfer |
1.11 |
|
454 |
|
|
#ifdef ALLOW_GGL90_SMOOTH |
455 |
|
|
DO K=1,Nr |
456 |
|
|
DO J=jMin,jMax |
457 |
|
|
DO I=iMin,iMax |
458 |
|
|
tmpdiffKrS= |
459 |
|
|
& ( |
460 |
|
|
& p4 * GGL90viscAr(i ,j ,k,bi,bj) * mskCor(i ,j ,bi,bj) |
461 |
|
|
& +p8 *( GGL90viscAr(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
462 |
|
|
& + GGL90viscAr(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
463 |
|
|
& + GGL90viscAr(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
464 |
|
|
& + GGL90viscAr(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
465 |
|
|
& +p16*( GGL90viscAr(i+1,j+1,k,bi,bj) * mskCor(i+1,j+1,bi,bj) |
466 |
|
|
& + GGL90viscAr(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj) |
467 |
|
|
& + GGL90viscAr(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
468 |
|
|
& + GGL90viscAr(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj)) |
469 |
|
|
& ) |
470 |
|
|
& /(p4 |
471 |
|
|
& +p8 *( maskC(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
472 |
|
|
& + maskC(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
473 |
|
|
& + maskC(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
474 |
|
|
& + maskC(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
475 |
|
|
& +p16*( maskC(i+1,j+1,k,bi,bj) * mskCor(i+1,j+1,bi,bj) |
476 |
|
|
& + maskC(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj) |
477 |
|
|
& + maskC(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
478 |
|
|
& + maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj)) |
479 |
|
|
& )*maskC(i,j,k,bi,bj)*mskCor(i,j,bi,bj) |
480 |
|
|
& /TKEPrandtlNumber(i,j,k) |
481 |
|
|
GGL90diffKrS(I,J,K,bi,bj)= MAX( tmpdiffKrS , diffKrNrT(k) ) |
482 |
|
|
ENDDO |
483 |
|
|
ENDDO |
484 |
|
|
ENDDO |
485 |
|
|
#endif |
486 |
dfer |
1.10 |
|
487 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
488 |
|
|
IF ( useDiagnostics ) THEN |
489 |
|
|
CALL DIAGNOSTICS_FILL( GGL90TKE ,'GGL90TKE', |
490 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
491 |
|
|
CALL DIAGNOSTICS_FILL( GGL90viscAr,'GGL90Ar ', |
492 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
493 |
|
|
CALL DIAGNOSTICS_FILL( GGL90diffKr,'GGL90Kr ', |
494 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
495 |
|
|
CALL DIAGNOSTICS_FILL( TKEPrandtlNumber ,'GGL90Prl', |
496 |
|
|
& 0,Nr, 2, bi, bj, myThid ) |
497 |
|
|
CALL DIAGNOSTICS_FILL( GGL90mixingLength,'GGL90Lmx', |
498 |
|
|
& 0,Nr, 2, bi, bj, myThid ) |
499 |
|
|
ENDIF |
500 |
|
|
#endif |
501 |
mlosch |
1.1 |
|
502 |
|
|
#endif /* ALLOW_GGL90 */ |
503 |
|
|
|
504 |
|
|
RETURN |
505 |
|
|
END |