1 |
gforget |
1.18 |
C $Header: /u/gcmpack/MITgcm/pkg/ggl90/ggl90_calc.F,v 1.17 2010/08/09 20:34:02 gforget 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 \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 |
1.7 |
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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gforget |
1.16 |
_RL MaxLength, tmpmlx, tmpVisc |
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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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dfer |
1.13 |
_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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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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gforget |
1.16 |
_RL GGL90visctmp (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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dfer |
1.13 |
C- tri-diagonal matrix |
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mlosch |
1.1 |
_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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dfer |
1.15 |
INTEGER errCode |
103 |
mlosch |
1.2 |
#ifdef ALLOW_GGL90_HORIZDIFF |
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dfer |
1.13 |
C- xA, yA - area of lateral faces |
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C- dfx, dfy - diffusive flux across lateral faces |
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mlosch |
1.2 |
_RL xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
108 |
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_RL dfx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
109 |
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_RL dfy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
110 |
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#endif /* ALLOW_GGL90_HORIZDIFF */ |
111 |
dfer |
1.11 |
#ifdef ALLOW_GGL90_SMOOTH |
112 |
gforget |
1.16 |
_RL p4, p8, p16 |
113 |
dfer |
1.11 |
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 |
117 |
mlosch |
1.1 |
iMin = 2-OLx |
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iMax = sNx+OLx-1 |
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jMin = 2-OLy |
120 |
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jMax = sNy+OLy-1 |
121 |
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122 |
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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 |
127 |
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ab15 = 1.5 _d 0 |
128 |
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ab05 = -0.5 _d 0 |
129 |
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ab15 = 1. _d 0 |
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ab05 = 0. _d 0 |
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132 |
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C Initialize local fields |
133 |
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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 |
138 |
dfer |
1.13 |
TKEPrandtlNumber(I,J,K) = 1. _d 0 |
139 |
mlosch |
1.7 |
GGL90mixingLength(I,J,K) = GGL90mixingLengthMin |
140 |
gforget |
1.17 |
GGL90visctmp(I,J,K) = 0. _d 0 |
141 |
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 |
146 |
dfer |
1.13 |
rhoK(I,J) = 0. _d 0 |
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rhoKm1(I,J) = 0. _d 0 |
148 |
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totalDepth(I,J) = Ro_surf(i,j,bi,bj) - R_low(i,j,bi,bj) |
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jmc |
1.14 |
rMixingLength(i,j,1) = 0. _d 0 |
150 |
dfer |
1.13 |
mxLength_Dn(I,J,1) = GGL90mixingLengthMin |
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jmc |
1.14 |
SQRTTKE(i,j,1) = SQRT( GGL90TKE(i,j,1,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 |
158 |
dfer |
1.11 |
c Kp1 = MIN(Nr,K+1) |
159 |
jmc |
1.8 |
CALL FIND_RHO_2D( |
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I iMin, iMax, jMin, jMax, K, |
161 |
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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), |
168 |
mlosch |
1.1 |
O rhoK, |
169 |
jmc |
1.8 |
I K, bi, bj, myThid ) |
170 |
mlosch |
1.1 |
DO J=jMin,jMax |
171 |
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DO I=iMin,iMax |
172 |
dfer |
1.11 |
SQRTTKE(i,j,k)=SQRT( GGL90TKE(I,J,K,bi,bj) ) |
173 |
jmc |
1.14 |
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174 |
mlosch |
1.1 |
C buoyancy frequency |
175 |
dfer |
1.11 |
Nsquare(i,j,k) = - gravity*recip_rhoConst*recip_drC(K) |
176 |
mlosch |
1.1 |
& * ( rhoKm1(I,J) - rhoK(I,J) )*maskC(I,J,K,bi,bj) |
177 |
dfer |
1.11 |
cC vertical shear term (dU/dz)^2+(dV/dz)^2 |
178 |
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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)) ) |
180 |
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c & *recip_drC(K) |
181 |
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c tempV= .5 _d 0*( vVel(I,J,Km1,bi,bj)+vVel(I,J+1,Km1,bi,bj) |
182 |
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c & -( vVel(I,J,K ,bi,bj)+vVel(I,J+1,K ,bi,bj)) ) |
183 |
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c & *recip_drC(K) |
184 |
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c verticalShear = tempU*tempU + tempV*tempV |
185 |
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c RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
186 |
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cC compute Prandtl number (always greater than 0) |
187 |
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c prTemp = 1. _d 0 |
188 |
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c IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
189 |
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c TKEPrandtlNumber(I,J,K) = MIN(10. _d 0,prTemp) |
190 |
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C mixing length |
191 |
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GGL90mixingLength(I,J,K) = SQRTTWO * |
192 |
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& SQRTTKE(i,j,k)/SQRT( MAX(Nsquare(i,j,k),GGL90eps) ) |
193 |
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ENDDO |
194 |
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ENDDO |
195 |
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ENDDO |
196 |
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197 |
dfer |
1.13 |
C- Impose upper and lower bound for mixing length |
198 |
dfer |
1.11 |
IF ( mxlMaxFlag .EQ. 0 ) THEN |
199 |
dfer |
1.13 |
C- |
200 |
dfer |
1.11 |
DO k=2,Nr |
201 |
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DO J=jMin,jMax |
202 |
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DO I=iMin,iMax |
203 |
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MaxLength=totalDepth(I,J) |
204 |
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GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
205 |
dfer |
1.13 |
& MaxLength) |
206 |
dfer |
1.11 |
ENDDO |
207 |
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ENDDO |
208 |
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ENDDO |
209 |
dfer |
1.13 |
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210 |
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DO k=2,Nr |
211 |
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DO J=jMin,jMax |
212 |
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DO I=iMin,iMax |
213 |
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GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
214 |
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& GGL90mixingLengthMin) |
215 |
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rMixingLength(I,J,K) = 1. _d 0 / GGL90mixingLength(I,J,K) |
216 |
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ENDDO |
217 |
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ENDDO |
218 |
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ENDDO |
219 |
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220 |
dfer |
1.11 |
ELSEIF ( mxlMaxFlag .EQ. 1 ) THEN |
221 |
dfer |
1.13 |
C- |
222 |
dfer |
1.11 |
DO k=2,Nr |
223 |
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DO J=jMin,jMax |
224 |
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DO I=iMin,iMax |
225 |
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MaxLength=MIN(Ro_surf(I,J,bi,bj)-rF(k),rF(k)-R_low(I,J,bi,bj)) |
226 |
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c MaxLength=MAX(MaxLength,20. _d 0) |
227 |
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GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
228 |
dfer |
1.13 |
& MaxLength) |
229 |
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ENDDO |
230 |
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ENDDO |
231 |
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ENDDO |
232 |
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233 |
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DO k=2,Nr |
234 |
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DO J=jMin,jMax |
235 |
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DO I=iMin,iMax |
236 |
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GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
237 |
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& GGL90mixingLengthMin) |
238 |
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rMixingLength(I,J,K) = 1. _d 0 / GGL90mixingLength(I,J,K) |
239 |
dfer |
1.11 |
ENDDO |
240 |
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ENDDO |
241 |
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ENDDO |
242 |
dfer |
1.13 |
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243 |
dfer |
1.11 |
ELSEIF ( mxlMaxFlag .EQ. 2 ) THEN |
244 |
dfer |
1.13 |
C- |
245 |
gforget |
1.16 |
cgf ensure mixing between first and second level |
246 |
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c DO J=jMin,jMax |
247 |
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c DO I=iMin,iMax |
248 |
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c GGL90mixingLength(I,J,2)=drF(1) |
249 |
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c ENDDO |
250 |
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c ENDDO |
251 |
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cgf |
252 |
dfer |
1.11 |
DO k=2,Nr |
253 |
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DO J=jMin,jMax |
254 |
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DO I=iMin,iMax |
255 |
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GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
256 |
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& GGL90mixingLength(I,J,K-1)+drF(k-1)) |
257 |
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ENDDO |
258 |
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ENDDO |
259 |
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ENDDO |
260 |
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DO J=jMin,jMax |
261 |
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DO I=iMin,iMax |
262 |
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GGL90mixingLength(I,J,Nr) = MIN(GGL90mixingLength(I,J,Nr), |
263 |
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& GGL90mixingLengthMin+drF(Nr)) |
264 |
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ENDDO |
265 |
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ENDDO |
266 |
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DO k=Nr-1,2,-1 |
267 |
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DO J=jMin,jMax |
268 |
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DO I=iMin,iMax |
269 |
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GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
270 |
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& GGL90mixingLength(I,J,K+1)+drF(k)) |
271 |
jmc |
1.12 |
ENDDO |
272 |
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ENDDO |
273 |
dfer |
1.11 |
ENDDO |
274 |
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275 |
dfer |
1.13 |
DO k=2,Nr |
276 |
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DO J=jMin,jMax |
277 |
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DO I=iMin,iMax |
278 |
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GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
279 |
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& GGL90mixingLengthMin) |
280 |
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rMixingLength(I,J,K) = 1. _d 0 / GGL90mixingLength(I,J,K) |
281 |
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ENDDO |
282 |
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ENDDO |
283 |
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ENDDO |
284 |
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285 |
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ELSEIF ( mxlMaxFlag .EQ. 3 ) THEN |
286 |
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C- |
287 |
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DO k=2,Nr |
288 |
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DO J=jMin,jMax |
289 |
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DO I=iMin,iMax |
290 |
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mxLength_Dn(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
291 |
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& mxLength_Dn(I,J,K-1)+drF(k-1)) |
292 |
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ENDDO |
293 |
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ENDDO |
294 |
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ENDDO |
295 |
dfer |
1.11 |
DO J=jMin,jMax |
296 |
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DO I=iMin,iMax |
297 |
dfer |
1.13 |
GGL90mixingLength(I,J,Nr) = MIN(GGL90mixingLength(I,J,Nr), |
298 |
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& GGL90mixingLengthMin+drF(Nr)) |
299 |
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ENDDO |
300 |
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ENDDO |
301 |
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DO k=Nr-1,2,-1 |
302 |
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DO J=jMin,jMax |
303 |
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DO I=iMin,iMax |
304 |
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GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
305 |
|
|
& GGL90mixingLength(I,J,K+1)+drF(k)) |
306 |
|
|
ENDDO |
307 |
dfer |
1.11 |
ENDDO |
308 |
|
|
ENDDO |
309 |
dfer |
1.13 |
|
310 |
|
|
DO k=2,Nr |
311 |
|
|
DO J=jMin,jMax |
312 |
|
|
DO I=iMin,iMax |
313 |
|
|
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
314 |
|
|
& mxLength_Dn(I,J,K)) |
315 |
jmc |
1.14 |
tmpmlx = SQRT( GGL90mixingLength(I,J,K)*mxLength_Dn(I,J,K) ) |
316 |
dfer |
1.13 |
tmpmlx = MAX( tmpmlx, GGL90mixingLengthMin) |
317 |
|
|
rMixingLength(I,J,K) = 1. _d 0 / tmpmlx |
318 |
|
|
ENDDO |
319 |
|
|
ENDDO |
320 |
|
|
ENDDO |
321 |
|
|
|
322 |
|
|
ELSE |
323 |
|
|
STOP 'GGL90_CALC: Wrong mxlMaxFlag (mixing length limit)' |
324 |
|
|
ENDIF |
325 |
|
|
|
326 |
|
|
C- Impose minimum mixing length (to avoid division by zero) |
327 |
|
|
c DO k=2,Nr |
328 |
|
|
c DO J=jMin,jMax |
329 |
|
|
c DO I=iMin,iMax |
330 |
|
|
c GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
331 |
|
|
c & GGL90mixingLengthMin) |
332 |
|
|
c rMixingLength(I,J,K) = 1. _d 0 /GGL90mixingLength(I,J,K) |
333 |
|
|
c ENDDO |
334 |
|
|
c ENDDO |
335 |
|
|
c ENDDO |
336 |
dfer |
1.11 |
|
337 |
gforget |
1.16 |
|
338 |
dfer |
1.11 |
DO k=2,Nr |
339 |
|
|
Km1 = K-1 |
340 |
|
|
DO J=jMin,jMax |
341 |
|
|
DO I=iMin,iMax |
342 |
mlosch |
1.1 |
C vertical shear term (dU/dz)^2+(dV/dz)^2 |
343 |
dfer |
1.11 |
tempU= .5 _d 0*( uVel(I,J,Km1,bi,bj)+uVel(I+1,J,Km1,bi,bj) |
344 |
dfer |
1.10 |
& -( uVel(I,J,K ,bi,bj)+uVel(I+1,J,K ,bi,bj)) ) |
345 |
mlosch |
1.1 |
& *recip_drC(K) |
346 |
dfer |
1.11 |
tempV= .5 _d 0*( vVel(I,J,Km1,bi,bj)+vVel(I,J+1,Km1,bi,bj) |
347 |
dfer |
1.10 |
& -( vVel(I,J,K ,bi,bj)+vVel(I,J+1,K ,bi,bj)) ) |
348 |
mlosch |
1.1 |
& *recip_drC(K) |
349 |
|
|
verticalShear = tempU*tempU + tempV*tempV |
350 |
jmc |
1.12 |
RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
351 |
mlosch |
1.1 |
C compute Prandtl number (always greater than 0) |
352 |
|
|
prTemp = 1. _d 0 |
353 |
dfer |
1.10 |
IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
354 |
|
|
TKEPrandtlNumber(I,J,K) = MIN(10. _d 0,prTemp) |
355 |
dfer |
1.13 |
c TKEPrandtlNumber(I,J,K) = 1. _d 0 |
356 |
dfer |
1.11 |
|
357 |
|
|
C viscosity and diffusivity |
358 |
|
|
KappaM = GGL90ck*GGL90mixingLength(I,J,K)*SQRTTKE(i,j,k) |
359 |
gforget |
1.16 |
GGL90visctmp(I,J,K) = MAX(KappaM,diffKrNrT(k)) |
360 |
|
|
& * maskC(I,J,K,bi,bj) |
361 |
|
|
c note: storing GGL90visctmp like this, and using it later to compute |
362 |
|
|
c GGL9rdiffKr etc. is robust in case of smoothing (e.g. see OPA) |
363 |
|
|
KappaM = MAX(KappaM,viscArNr(k)) * maskC(I,J,K,bi,bj) |
364 |
dfer |
1.10 |
KappaH = KappaM/TKEPrandtlNumber(I,J,K) |
365 |
gforget |
1.16 |
KappaE(I,J,K) = GGL90alpha * KappaM * maskC(I,J,K,bi,bj) |
366 |
dfer |
1.10 |
|
367 |
mlosch |
1.1 |
C dissipation term |
368 |
|
|
TKEdissipation = ab05*GGL90ceps |
369 |
dfer |
1.11 |
& *SQRTTKE(i,j,k)*rMixingLength(I,J,K) |
370 |
jmc |
1.8 |
& *GGL90TKE(I,J,K,bi,bj) |
371 |
mlosch |
1.1 |
C sum up contributions to form the right hand side |
372 |
jmc |
1.8 |
gTKE(I,J,K) = GGL90TKE(I,J,K,bi,bj) |
373 |
mlosch |
1.1 |
& + deltaTggl90*( |
374 |
|
|
& + KappaM*verticalShear |
375 |
dfer |
1.11 |
& - KappaH*Nsquare(i,j,k) |
376 |
jmc |
1.8 |
& - TKEdissipation |
377 |
mlosch |
1.1 |
& ) |
378 |
jmc |
1.8 |
ENDDO |
379 |
mlosch |
1.1 |
ENDDO |
380 |
mlosch |
1.2 |
ENDDO |
381 |
dfer |
1.11 |
|
382 |
jmc |
1.8 |
C horizontal diffusion of TKE (requires an exchange in |
383 |
|
|
C do_fields_blocking_exchanges) |
384 |
mlosch |
1.2 |
#ifdef ALLOW_GGL90_HORIZDIFF |
385 |
|
|
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
386 |
|
|
DO K=2,Nr |
387 |
|
|
C common factors |
388 |
|
|
DO j=1-Oly,sNy+Oly |
389 |
|
|
DO i=1-Olx,sNx+Olx |
390 |
|
|
xA(i,j) = _dyG(i,j,bi,bj) |
391 |
|
|
& *drF(k)*_hFacW(i,j,k,bi,bj) |
392 |
|
|
yA(i,j) = _dxG(i,j,bi,bj) |
393 |
|
|
& *drF(k)*_hFacS(i,j,k,bi,bj) |
394 |
|
|
ENDDO |
395 |
jmc |
1.8 |
ENDDO |
396 |
mlosch |
1.2 |
C Compute diffusive fluxes |
397 |
|
|
C ... across x-faces |
398 |
|
|
DO j=1-Oly,sNy+Oly |
399 |
dfer |
1.10 |
dfx(1-Olx,j)=0. _d 0 |
400 |
mlosch |
1.2 |
DO i=1-Olx+1,sNx+Olx |
401 |
|
|
dfx(i,j) = -GGL90diffTKEh*xA(i,j) |
402 |
|
|
& *_recip_dxC(i,j,bi,bj) |
403 |
|
|
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i-1,j,k,bi,bj)) |
404 |
|
|
& *CosFacU(j,bi,bj) |
405 |
|
|
ENDDO |
406 |
|
|
ENDDO |
407 |
|
|
C ... across y-faces |
408 |
|
|
DO i=1-Olx,sNx+Olx |
409 |
dfer |
1.10 |
dfy(i,1-Oly)=0. _d 0 |
410 |
mlosch |
1.2 |
ENDDO |
411 |
|
|
DO j=1-Oly+1,sNy+Oly |
412 |
|
|
DO i=1-Olx,sNx+Olx |
413 |
|
|
dfy(i,j) = -GGL90diffTKEh*yA(i,j) |
414 |
|
|
& *_recip_dyC(i,j,bi,bj) |
415 |
|
|
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i,j-1,k,bi,bj)) |
416 |
|
|
#ifdef ISOTROPIC_COS_SCALING |
417 |
|
|
& *CosFacV(j,bi,bj) |
418 |
|
|
#endif /* ISOTROPIC_COS_SCALING */ |
419 |
|
|
ENDDO |
420 |
jmc |
1.8 |
ENDDO |
421 |
mlosch |
1.2 |
C Compute divergence of fluxes |
422 |
|
|
DO j=1-Oly,sNy+Oly-1 |
423 |
|
|
DO i=1-Olx,sNx+Olx-1 |
424 |
|
|
gTKE(i,j,k)=gTKE(i,j,k) |
425 |
|
|
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k)*recip_rA(i,j,bi,bj) |
426 |
|
|
& *( (dfx(i+1,j)-dfx(i,j)) |
427 |
jmc |
1.8 |
& +(dfy(i,j+1)-dfy(i,j)) |
428 |
dfer |
1.15 |
& )*deltaTggl90 |
429 |
jmc |
1.8 |
ENDDO |
430 |
mlosch |
1.2 |
ENDDO |
431 |
jmc |
1.8 |
C end of k-loop |
432 |
mlosch |
1.2 |
ENDDO |
433 |
|
|
C end if GGL90diffTKEh .eq. 0. |
434 |
|
|
ENDIF |
435 |
|
|
#endif /* ALLOW_GGL90_HORIZDIFF */ |
436 |
|
|
|
437 |
|
|
C ============================================ |
438 |
|
|
C Implicit time step to update TKE for k=1,Nr; |
439 |
|
|
C TKE(Nr+1)=0 by default |
440 |
|
|
C ============================================ |
441 |
mlosch |
1.1 |
C set up matrix |
442 |
mlosch |
1.2 |
C-- Lower diagonal |
443 |
mlosch |
1.1 |
DO j=jMin,jMax |
444 |
|
|
DO i=iMin,iMax |
445 |
jmc |
1.8 |
a(i,j,1) = 0. _d 0 |
446 |
mlosch |
1.1 |
ENDDO |
447 |
|
|
ENDDO |
448 |
|
|
DO k=2,Nr |
449 |
dfer |
1.15 |
km1=MAX(2,k-1) |
450 |
mlosch |
1.1 |
DO j=jMin,jMax |
451 |
|
|
DO i=iMin,iMax |
452 |
dfer |
1.15 |
C- We keep recip_hFacC in the diffusive flux calculation, |
453 |
|
|
C- but no hFacC in TKE volume control |
454 |
|
|
C- No need for maskC(k-1) with recip_hFacC(k-1) |
455 |
mlosch |
1.1 |
a(i,j,k) = -deltaTggl90 |
456 |
dfer |
1.11 |
& *recip_drF(k-1)*recip_hFacC(i,j,k-1,bi,bj) |
457 |
dfer |
1.10 |
& *.5 _d 0*(KappaE(i,j, k )+KappaE(i,j,km1)) |
458 |
dfer |
1.15 |
& *recip_drC(k)*maskC(i,j,k,bi,bj) |
459 |
mlosch |
1.1 |
ENDDO |
460 |
|
|
ENDDO |
461 |
|
|
ENDDO |
462 |
mlosch |
1.2 |
C-- Upper diagonal |
463 |
mlosch |
1.1 |
DO j=jMin,jMax |
464 |
|
|
DO i=iMin,iMax |
465 |
|
|
c(i,j,1) = 0. _d 0 |
466 |
|
|
ENDDO |
467 |
|
|
ENDDO |
468 |
dfer |
1.11 |
DO k=2,Nr |
469 |
mlosch |
1.1 |
DO j=jMin,jMax |
470 |
|
|
DO i=iMin,iMax |
471 |
dfer |
1.15 |
kp1=MAX(1,MIN(klowC(i,j,bi,bj),k+1)) |
472 |
|
|
C- We keep recip_hFacC in the diffusive flux calculation, |
473 |
|
|
C- but no hFacC in TKE volume control |
474 |
|
|
C- No need for maskC(k) with recip_hFacC(k) |
475 |
mlosch |
1.1 |
c(i,j,k) = -deltaTggl90 |
476 |
dfer |
1.11 |
& *recip_drF( k ) * recip_hFacC(i,j,k,bi,bj) |
477 |
|
|
& *.5 _d 0*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
478 |
dfer |
1.15 |
& *recip_drC(k)*maskC(i,j,k-1,bi,bj) |
479 |
mlosch |
1.1 |
ENDDO |
480 |
|
|
ENDDO |
481 |
|
|
ENDDO |
482 |
mlosch |
1.2 |
C-- Center diagonal |
483 |
mlosch |
1.1 |
DO k=1,Nr |
484 |
dfer |
1.15 |
km1 = MAX(k-1,1) |
485 |
mlosch |
1.1 |
DO j=jMin,jMax |
486 |
|
|
DO i=iMin,iMax |
487 |
|
|
b(i,j,k) = 1. _d 0 - c(i,j,k) - a(i,j,k) |
488 |
dfer |
1.13 |
& + ab15*deltaTggl90*GGL90ceps*SQRTTKE(I,J,K) |
489 |
dfer |
1.15 |
& * rMixingLength(I,J,K) |
490 |
|
|
& * maskC(i,j,k,bi,bj)*maskC(i,j,km1,bi,bj) |
491 |
mlosch |
1.1 |
ENDDO |
492 |
|
|
ENDDO |
493 |
|
|
ENDDO |
494 |
|
|
C end set up matrix |
495 |
|
|
|
496 |
|
|
C Apply boundary condition |
497 |
dfer |
1.15 |
kp1 = MIN(Nr,kSurf+1) |
498 |
mlosch |
1.1 |
DO J=jMin,jMax |
499 |
|
|
DO I=iMin,iMax |
500 |
|
|
C estimate friction velocity uStar from surface forcing |
501 |
jmc |
1.8 |
uStarSquare = SQRT( |
502 |
dfer |
1.10 |
& ( .5 _d 0*( surfaceForcingU(I, J, bi,bj) |
503 |
mlosch |
1.1 |
& + surfaceForcingU(I+1,J, bi,bj) ) )**2 |
504 |
dfer |
1.10 |
& + ( .5 _d 0*( surfaceForcingV(I, J, bi,bj) |
505 |
mlosch |
1.1 |
& + surfaceForcingV(I, J+1,bi,bj) ) )**2 |
506 |
|
|
& ) |
507 |
|
|
C Dirichlet surface boundary condition for TKE |
508 |
mlosch |
1.6 |
gTKE(I,J,kSurf) = MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
509 |
mlosch |
1.1 |
& *maskC(I,J,kSurf,bi,bj) |
510 |
dfer |
1.15 |
gTKE(i,j,kp1) = gTKE(i,j,kp1) |
511 |
|
|
& - a(i,j,kp1)*gTKE(i,j,kSurf) |
512 |
|
|
a(i,j,kp1) = 0. _d 0 |
513 |
mlosch |
1.1 |
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
514 |
dfer |
1.11 |
kBottom = MAX(kLowC(I,J,bi,bj),1) |
515 |
jmc |
1.8 |
gTKE(I,J,kBottom) = gTKE(I,J,kBottom) |
516 |
dfer |
1.11 |
& - GGL90TKEbottom*c(I,J,kBottom) |
517 |
|
|
c(I,J,kBottom) = 0. _d 0 |
518 |
mlosch |
1.1 |
ENDDO |
519 |
jmc |
1.8 |
ENDDO |
520 |
jmc |
1.14 |
|
521 |
mlosch |
1.1 |
C solve tri-diagonal system, and store solution on gTKE (previously rhs) |
522 |
dfer |
1.15 |
CALL SOLVE_TRIDIAGONAL( iMin,iMax, jMin,jMax, |
523 |
|
|
I a, b, c, |
524 |
|
|
U gTKE, |
525 |
|
|
O errCode, |
526 |
gforget |
1.18 |
I 1, 1, myThid ) |
527 |
jmc |
1.14 |
|
528 |
mlosch |
1.1 |
C now update TKE |
529 |
|
|
DO K=1,Nr |
530 |
|
|
DO J=jMin,jMax |
531 |
|
|
DO I=iMin,iMax |
532 |
|
|
C impose minimum TKE to avoid numerical undershoots below zero |
533 |
jmc |
1.8 |
GGL90TKE(I,J,K,bi,bj) = MAX( gTKE(I,J,K), GGL90TKEmin ) |
534 |
mlosch |
1.1 |
& * maskC(I,J,K,bi,bj) |
535 |
|
|
ENDDO |
536 |
|
|
ENDDO |
537 |
jmc |
1.8 |
ENDDO |
538 |
dfer |
1.11 |
|
539 |
mlosch |
1.2 |
C end of time step |
540 |
|
|
C =============================== |
541 |
dfer |
1.11 |
|
542 |
gforget |
1.17 |
DO K=2,Nr |
543 |
|
|
DO J=1,sNy |
544 |
|
|
DO I=1,sNx |
545 |
gforget |
1.16 |
#ifdef ALLOW_GGL90_SMOOTH |
546 |
|
|
tmpVisc= |
547 |
dfer |
1.11 |
& ( |
548 |
gforget |
1.16 |
& p4 * GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
549 |
|
|
& +p8 *( GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj) |
550 |
|
|
& + GGL90visctmp(i ,j-1,k) * mskCor(i ,j-1,bi,bj) |
551 |
|
|
& + GGL90visctmp(i+1,j ,k) * mskCor(i+1,j ,bi,bj) |
552 |
|
|
& + GGL90visctmp(i ,j+1,k) * mskCor(i ,j+1,bi,bj)) |
553 |
|
|
& +p16*( GGL90visctmp(i+1,j+1,k) * mskCor(i+1,j+1,bi,bj) |
554 |
|
|
& + GGL90visctmp(i+1,j-1,k) * mskCor(i+1,j-1,bi,bj) |
555 |
|
|
& + GGL90visctmp(i-1,j+1,k) * mskCor(i-1,j+1,bi,bj) |
556 |
|
|
& + GGL90visctmp(i-1,j-1,k) * mskCor(i-1,j-1,bi,bj)) |
557 |
dfer |
1.11 |
& ) |
558 |
|
|
& /(p4 |
559 |
|
|
& +p8 *( maskC(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
560 |
|
|
& + maskC(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
561 |
|
|
& + maskC(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
562 |
|
|
& + maskC(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
563 |
|
|
& +p16*( 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-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj)) |
567 |
|
|
& )*maskC(i,j,k,bi,bj)*mskCor(i,j,bi,bj) |
568 |
gforget |
1.16 |
#else |
569 |
|
|
tmpVisc = GGL90visctmp(I,J,K) |
570 |
|
|
#endif |
571 |
|
|
tmpVisc = MIN(tmpVisc/TKEPrandtlNumber(i,j,k),GGL90diffMax) |
572 |
|
|
GGL90diffKr(I,J,K,bi,bj)= MAX( tmpVisc , diffKrNrT(k) ) |
573 |
dfer |
1.11 |
ENDDO |
574 |
|
|
ENDDO |
575 |
|
|
ENDDO |
576 |
gforget |
1.16 |
|
577 |
|
|
|
578 |
|
|
|
579 |
gforget |
1.17 |
DO K=2,Nr |
580 |
|
|
DO J=1,sNy |
581 |
|
|
DO I=1,sNx+1 |
582 |
gforget |
1.16 |
#ifdef ALLOW_GGL90_SMOOTH |
583 |
|
|
tmpVisc = |
584 |
|
|
& ( |
585 |
|
|
& p4 *(GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
586 |
|
|
& +GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj)) |
587 |
|
|
& +p8 *(GGL90visctmp(i-1,j-1,k) * mskCor(i-1,j-1,bi,bj) |
588 |
|
|
& +GGL90visctmp(i-1,j+1,k) * mskCor(i-1,j+1,bi,bj) |
589 |
|
|
& +GGL90visctmp(i ,j-1,k) * mskCor(i ,j-1,bi,bj) |
590 |
|
|
& +GGL90visctmp(i ,j+1,k) * mskCor(i ,j+1,bi,bj)) |
591 |
|
|
& ) |
592 |
|
|
& /(p4 * 2. _d 0 |
593 |
|
|
& +p8 *( maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj) |
594 |
|
|
& + maskC(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
595 |
|
|
& + maskC(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
596 |
|
|
& + maskC(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
597 |
|
|
& ) |
598 |
|
|
& *maskC(i ,j,k,bi,bj)*mskCor(i ,j,bi,bj) |
599 |
|
|
& *maskC(i-1,j,k,bi,bj)*mskCor(i-1,j,bi,bj) |
600 |
|
|
#else |
601 |
|
|
tmpVisc = _maskW(i,j,k,bi,bj) * |
602 |
|
|
& (.5 _d 0*(GGL90visctmp(i,j,k) |
603 |
|
|
& +GGL90visctmp(i-1,j,k)) |
604 |
|
|
& ) |
605 |
dfer |
1.11 |
#endif |
606 |
gforget |
1.16 |
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
607 |
|
|
GGL90viscArU(i,j,k,bi,bj) = MAX( tmpVisc , viscArNr(k) ) |
608 |
|
|
ENDDO |
609 |
|
|
ENDDO |
610 |
|
|
ENDDO |
611 |
|
|
|
612 |
|
|
|
613 |
gforget |
1.17 |
DO K=2,Nr |
614 |
|
|
DO J=1,sNy+1 |
615 |
|
|
DO I=1,sNx |
616 |
gforget |
1.16 |
#ifdef ALLOW_GGL90_SMOOTH |
617 |
|
|
tmpVisc = |
618 |
|
|
& ( |
619 |
|
|
& p4 *(GGL90visctmp(i ,j ,k) * mskCor(i ,j ,bi,bj) |
620 |
|
|
& +GGL90visctmp(i ,j-1,k) * mskCor(i ,j-1,bi,bj)) |
621 |
|
|
& +p8 *(GGL90visctmp(i-1,j ,k) * mskCor(i-1,j ,bi,bj) |
622 |
|
|
& +GGL90visctmp(i-1,j-1,k) * mskCor(i-1,j-1,bi,bj) |
623 |
|
|
& +GGL90visctmp(i+1,j ,k) * mskCor(i+1,j ,bi,bj) |
624 |
|
|
& +GGL90visctmp(i+1,j-1,k) * mskCor(i+1,j-1,bi,bj)) |
625 |
|
|
& ) |
626 |
|
|
& /(p4 * 2. _d 0 |
627 |
|
|
& +p8 *( maskC(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
628 |
|
|
& + maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj) |
629 |
|
|
& + maskC(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
630 |
|
|
& + maskC(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj)) |
631 |
|
|
& ) |
632 |
|
|
& *maskC(i,j ,k,bi,bj)*mskCor(i,j ,bi,bj) |
633 |
|
|
& *maskC(i,j-1,k,bi,bj)*mskCor(i,j-1,bi,bj) |
634 |
|
|
#else |
635 |
|
|
tmpVisc = _maskS(i,j,k,bi,bj) * |
636 |
|
|
& (.5 _d 0*(GGL90visctmp(i,j,k) |
637 |
|
|
& +GGL90visctmp(i,j-1,k)) |
638 |
|
|
& ) |
639 |
|
|
|
640 |
|
|
#endif |
641 |
|
|
tmpVisc = MIN( tmpVisc , GGL90viscMax ) |
642 |
|
|
GGL90viscArV(i,j,k,bi,bj) = MAX( tmpVisc , viscArNr(k) ) |
643 |
|
|
ENDDO |
644 |
|
|
ENDDO |
645 |
|
|
ENDDO |
646 |
dfer |
1.10 |
|
647 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
648 |
|
|
IF ( useDiagnostics ) THEN |
649 |
|
|
CALL DIAGNOSTICS_FILL( GGL90TKE ,'GGL90TKE', |
650 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
651 |
gforget |
1.16 |
CALL DIAGNOSTICS_FILL( GGL90viscArU,'GGL90ArU', |
652 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
653 |
|
|
CALL DIAGNOSTICS_FILL( GGL90viscArV,'GGL90ArV', |
654 |
dfer |
1.10 |
& 0,Nr, 1, bi, bj, myThid ) |
655 |
|
|
CALL DIAGNOSTICS_FILL( GGL90diffKr,'GGL90Kr ', |
656 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
657 |
|
|
CALL DIAGNOSTICS_FILL( TKEPrandtlNumber ,'GGL90Prl', |
658 |
|
|
& 0,Nr, 2, bi, bj, myThid ) |
659 |
|
|
CALL DIAGNOSTICS_FILL( GGL90mixingLength,'GGL90Lmx', |
660 |
|
|
& 0,Nr, 2, bi, bj, myThid ) |
661 |
|
|
ENDIF |
662 |
|
|
#endif |
663 |
mlosch |
1.1 |
|
664 |
|
|
#endif /* ALLOW_GGL90 */ |
665 |
|
|
|
666 |
|
|
RETURN |
667 |
|
|
END |