| 1 |
dfer |
1.10 |
C $Header: /u/gcmpack/MITgcm/pkg/ggl90/ggl90_calc.F,v 1.9 2008/09/29 13:47:23 dfer Exp $ |
| 2 |
mlosch |
1.1 |
C $Name: $ |
| 3 |
|
|
|
| 4 |
|
|
#include "GGL90_OPTIONS.h" |
| 5 |
|
|
|
| 6 |
|
|
CBOP |
| 7 |
|
|
C !ROUTINE: GGL90_CALC |
| 8 |
|
|
|
| 9 |
|
|
C !INTERFACE: ====================================================== |
| 10 |
|
|
subroutine GGL90_CALC( |
| 11 |
|
|
I bi, bj, myTime, myThid ) |
| 12 |
|
|
|
| 13 |
|
|
C !DESCRIPTION: \bv |
| 14 |
|
|
C /==========================================================\ |
| 15 |
|
|
C | SUBROUTINE GGL90_CALC | |
| 16 |
|
|
C | o Compute all GGL90 fields defined in GGL90.h | |
| 17 |
|
|
C |==========================================================| |
| 18 |
|
|
C | Equation numbers refer to | |
| 19 |
|
|
C | Gaspar et al. (1990), JGR 95 (C9), pp 16,179 | |
| 20 |
|
|
C | Some parts of the implementation follow Blanke and | |
| 21 |
|
|
C | Delecuse (1993), JPO, and OPA code, in particular the | |
| 22 |
|
|
C | computation of the | |
| 23 |
|
|
C | mixing length = max(min(lk,depth),lkmin) | |
| 24 |
|
|
C \==========================================================/ |
| 25 |
|
|
IMPLICIT NONE |
| 26 |
|
|
C |
| 27 |
|
|
C-------------------------------------------------------------------- |
| 28 |
|
|
|
| 29 |
|
|
C global parameters updated by ggl90_calc |
| 30 |
|
|
C GGL90TKE - sub-grid turbulent kinetic energy (m^2/s^2) |
| 31 |
|
|
C GGL90viscAz - GGL90 eddy viscosity coefficient (m^2/s) |
| 32 |
|
|
C GGL90diffKzT - GGL90 diffusion coefficient for temperature (m^2/s) |
| 33 |
|
|
C |
| 34 |
|
|
C \ev |
| 35 |
|
|
|
| 36 |
|
|
C !USES: ============================================================ |
| 37 |
|
|
#include "SIZE.h" |
| 38 |
|
|
#include "EEPARAMS.h" |
| 39 |
|
|
#include "PARAMS.h" |
| 40 |
|
|
#include "DYNVARS.h" |
| 41 |
|
|
#include "GGL90.h" |
| 42 |
|
|
#include "FFIELDS.h" |
| 43 |
|
|
#include "GRID.h" |
| 44 |
|
|
|
| 45 |
|
|
C !INPUT PARAMETERS: =================================================== |
| 46 |
|
|
c Routine arguments |
| 47 |
|
|
c bi, bj - array indices on which to apply calculations |
| 48 |
|
|
c myTime - Current time in simulation |
| 49 |
|
|
|
| 50 |
|
|
INTEGER bi, bj |
| 51 |
|
|
INTEGER myThid |
| 52 |
|
|
_RL myTime |
| 53 |
|
|
|
| 54 |
|
|
#ifdef ALLOW_GGL90 |
| 55 |
|
|
|
| 56 |
|
|
C !LOCAL VARIABLES: ==================================================== |
| 57 |
|
|
c Local constants |
| 58 |
|
|
C iMin, iMax, jMin, jMax, I, J - array computation indices |
| 59 |
|
|
C K, Kp1, km1, kSurf, kBottom - vertical loop indices |
| 60 |
|
|
C ab15, ab05 - weights for implicit timestepping |
| 61 |
|
|
C uStarSquare - square of friction velocity |
| 62 |
|
|
C verticalShear - (squared) vertical shear of horizontal velocity |
| 63 |
jmc |
1.8 |
C Nsquare - squared buoyancy freqency |
| 64 |
mlosch |
1.1 |
C RiNumber - local Richardson number |
| 65 |
|
|
C KappaM - (local) viscosity parameter (eq.10) |
| 66 |
|
|
C KappaH - (local) diffusivity parameter for temperature (eq.11) |
| 67 |
|
|
C KappaE - (local) diffusivity parameter for TKE (eq.15) |
| 68 |
|
|
C TKEdissipation - dissipation of TKE |
| 69 |
|
|
C GGL90mixingLength- mixing length of scheme following Banke+Delecuse |
| 70 |
mlosch |
1.7 |
C rMixingLength- inverse of mixing length |
| 71 |
mlosch |
1.1 |
C totalDepth - thickness of water column (inverse of recip_Rcol) |
| 72 |
|
|
C TKEPrandtlNumber - here, an empirical function of the Richardson number |
| 73 |
|
|
C rhoK, rhoKm1 - density at layer K and Km1 (relative to K) |
| 74 |
|
|
C gTKE - right hand side of implicit equation |
| 75 |
|
|
INTEGER iMin ,iMax ,jMin ,jMax |
| 76 |
|
|
INTEGER I, J, K, Kp1, Km1, kSurf, kBottom |
| 77 |
|
|
_RL ab15, ab05 |
| 78 |
|
|
_RL uStarSquare |
| 79 |
|
|
_RL verticalShear |
| 80 |
|
|
_RL KappaM, KappaH |
| 81 |
|
|
_RL Nsquare |
| 82 |
|
|
_RL deltaTggl90 |
| 83 |
|
|
_RL SQRTTKE |
| 84 |
|
|
_RL RiNumber |
| 85 |
|
|
_RL TKEdissipation |
| 86 |
|
|
_RL tempU, tempV, prTemp |
| 87 |
|
|
_RL TKEPrandtlNumber (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 88 |
|
|
_RL GGL90mixingLength(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 89 |
mlosch |
1.7 |
_RL rMixingLength(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 90 |
mlosch |
1.1 |
_RL KappaE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 91 |
|
|
_RL rhoK (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 92 |
|
|
_RL rhoKm1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 93 |
|
|
_RL totalDepth (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 94 |
|
|
_RL gTKE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 95 |
|
|
C tri-diagonal matrix |
| 96 |
|
|
_RL a(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 97 |
|
|
_RL b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 98 |
|
|
_RL c(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 99 |
mlosch |
1.2 |
#ifdef ALLOW_GGL90_HORIZDIFF |
| 100 |
|
|
C xA, yA - area of lateral faces |
| 101 |
|
|
C dfx, dfy - diffusive flux across lateral faces |
| 102 |
|
|
_RL xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 103 |
|
|
_RL yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 104 |
|
|
_RL dfx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 105 |
|
|
_RL dfy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 106 |
|
|
#endif /* ALLOW_GGL90_HORIZDIFF */ |
| 107 |
mlosch |
1.1 |
CEOP |
| 108 |
|
|
iMin = 2-OLx |
| 109 |
|
|
iMax = sNx+OLx-1 |
| 110 |
|
|
jMin = 2-OLy |
| 111 |
|
|
jMax = sNy+OLy-1 |
| 112 |
|
|
|
| 113 |
|
|
C set separate time step (should be deltaTtracer) |
| 114 |
jmc |
1.4 |
deltaTggl90 = dTtracerLev(1) |
| 115 |
jmc |
1.8 |
C |
| 116 |
mlosch |
1.1 |
kSurf = 1 |
| 117 |
|
|
C implicit timestepping weights for dissipation |
| 118 |
|
|
ab15 = 1.5 _d 0 |
| 119 |
|
|
ab05 = -0.5 _d 0 |
| 120 |
|
|
ab15 = 1. _d 0 |
| 121 |
|
|
ab05 = 0. _d 0 |
| 122 |
|
|
|
| 123 |
|
|
C Initialize local fields |
| 124 |
|
|
DO K = 1, Nr |
| 125 |
|
|
DO J=1-Oly,sNy+Oly |
| 126 |
|
|
DO I=1-Olx,sNx+Olx |
| 127 |
|
|
gTKE(I,J,K) = 0. _d 0 |
| 128 |
|
|
KappaE(I,J,K) = 0. _d 0 |
| 129 |
|
|
TKEPrandtlNumber(I,J,K) = 0. _d 0 |
| 130 |
mlosch |
1.7 |
GGL90mixingLength(I,J,K) = GGL90mixingLengthMin |
| 131 |
|
|
rMixingLength(I,J,K) = 0. _d 0 |
| 132 |
mlosch |
1.1 |
ENDDO |
| 133 |
jmc |
1.8 |
ENDDO |
| 134 |
mlosch |
1.1 |
ENDDO |
| 135 |
|
|
DO J=1-Oly,sNy+Oly |
| 136 |
|
|
DO I=1-Olx,sNx+Olx |
| 137 |
jmc |
1.8 |
rhoK (I,J) = 0. _d 0 |
| 138 |
|
|
rhoKm1 (I,J) = 0. _d 0 |
| 139 |
mlosch |
1.1 |
totalDepth(I,J) = 0. _d 0 |
| 140 |
dfer |
1.10 |
IF ( recip_Rcol(I,J,bi,bj) .NE. 0. _d 0 ) |
| 141 |
mlosch |
1.1 |
& totalDepth(I,J) = 1./recip_Rcol(I,J,bi,bj) |
| 142 |
|
|
ENDDO |
| 143 |
|
|
ENDDO |
| 144 |
|
|
|
| 145 |
|
|
C start k-loop |
| 146 |
|
|
DO K = 2, Nr |
| 147 |
|
|
Km1 = K-1 |
| 148 |
|
|
Kp1 = MIN(Nr,K+1) |
| 149 |
jmc |
1.8 |
CALL FIND_RHO_2D( |
| 150 |
|
|
I iMin, iMax, jMin, jMax, K, |
| 151 |
|
|
I theta(1-OLx,1-OLy,Km1,bi,bj), salt(1-OLx,1-OLy,Km1,bi,bj), |
| 152 |
mlosch |
1.1 |
O rhoKm1, |
| 153 |
jmc |
1.8 |
I Km1, bi, bj, myThid ) |
| 154 |
|
|
|
| 155 |
|
|
CALL FIND_RHO_2D( |
| 156 |
|
|
I iMin, iMax, jMin, jMax, K, |
| 157 |
|
|
I theta(1-OLx,1-OLy,K,bi,bj), salt(1-OLx,1-OLy,K,bi,bj), |
| 158 |
mlosch |
1.1 |
O rhoK, |
| 159 |
jmc |
1.8 |
I K, bi, bj, myThid ) |
| 160 |
mlosch |
1.1 |
DO J=jMin,jMax |
| 161 |
|
|
DO I=iMin,iMax |
| 162 |
|
|
SQRTTKE=SQRT( GGL90TKE(I,J,K,bi,bj) ) |
| 163 |
|
|
C |
| 164 |
|
|
C buoyancy frequency |
| 165 |
|
|
C |
| 166 |
|
|
Nsquare = - gravity*recip_rhoConst*recip_drC(K) |
| 167 |
|
|
& * ( rhoKm1(I,J) - rhoK(I,J) )*maskC(I,J,K,bi,bj) |
| 168 |
|
|
C vertical shear term (dU/dz)^2+(dV/dz)^2 |
| 169 |
dfer |
1.10 |
tempu= .5 _d 0*( uVel(I,J,Km1,bi,bj)+uVel(I+1,J,Km1,bi,bj) |
| 170 |
|
|
& -( uVel(I,J,K ,bi,bj)+uVel(I+1,J,K ,bi,bj)) ) |
| 171 |
mlosch |
1.1 |
& *recip_drC(K) |
| 172 |
dfer |
1.10 |
tempv= .5 _d 0*( vVel(I,J,Km1,bi,bj)+vVel(I,J+1,Km1,bi,bj) |
| 173 |
|
|
& -( vVel(I,J,K ,bi,bj)+vVel(I,J+1,K ,bi,bj)) ) |
| 174 |
mlosch |
1.1 |
& *recip_drC(K) |
| 175 |
|
|
verticalShear = tempU*tempU + tempV*tempV |
| 176 |
|
|
RiNumber = MAX(Nsquare,0. _d 0)/(verticalShear+GGL90eps) |
| 177 |
|
|
C compute Prandtl number (always greater than 0) |
| 178 |
|
|
prTemp = 1. _d 0 |
| 179 |
dfer |
1.10 |
IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
| 180 |
|
|
TKEPrandtlNumber(I,J,K) = MIN(10. _d 0,prTemp) |
| 181 |
mlosch |
1.1 |
C mixing length |
| 182 |
dfer |
1.9 |
GGL90mixingLength(I,J,K) = SQRTTWO * |
| 183 |
jmc |
1.8 |
& SQRTTKE/SQRT( MAX(Nsquare,GGL90eps) ) |
| 184 |
mlosch |
1.1 |
C impose upper bound for mixing length (total depth) |
| 185 |
jmc |
1.8 |
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
| 186 |
mlosch |
1.1 |
& totalDepth(I,J)) |
| 187 |
|
|
C impose minimum mixing length (to avoid division by zero) |
| 188 |
jmc |
1.8 |
GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
| 189 |
mlosch |
1.1 |
& GGL90mixingLengthMin) |
| 190 |
mlosch |
1.7 |
rMixingLength(I,J,K) = 1. _d 0 /GGL90mixingLength(I,J,K) |
| 191 |
mlosch |
1.1 |
C viscosity of last timestep |
| 192 |
|
|
KappaM = GGL90ck*GGL90mixingLength(I,J,K)*SQRTTKE |
| 193 |
dfer |
1.10 |
KappaH = KappaM/TKEPrandtlNumber(I,J,K) |
| 194 |
|
|
|
| 195 |
|
|
C Set a minium (= background) and maximum value |
| 196 |
|
|
KappaM = MAX(KappaM,viscAr) |
| 197 |
|
|
KappaH = MAX(KappaH,diffKrNrT(k)) |
| 198 |
|
|
KappaM = MIN(KappaM,GGL90viscMax) |
| 199 |
|
|
KappaH = MIN(KappaH,GGL90diffMax) |
| 200 |
|
|
|
| 201 |
|
|
C Mask land points and save |
| 202 |
mlosch |
1.1 |
KappaE(I,J,K) = KappaM*GGL90alpha |
| 203 |
dfer |
1.10 |
GGL90viscAr(I,J,K,bi,bj) = KappaM * maskC(I,J,K,bi,bj) |
| 204 |
|
|
GGL90diffKr(I,J,K,bi,bj) = KappaH * maskC(I,J,K,bi,bj) |
| 205 |
|
|
|
| 206 |
mlosch |
1.1 |
C dissipation term |
| 207 |
|
|
TKEdissipation = ab05*GGL90ceps |
| 208 |
mlosch |
1.7 |
& *SQRTTKE*rMixingLength(I,J,K) |
| 209 |
jmc |
1.8 |
& *GGL90TKE(I,J,K,bi,bj) |
| 210 |
mlosch |
1.1 |
C sum up contributions to form the right hand side |
| 211 |
jmc |
1.8 |
gTKE(I,J,K) = GGL90TKE(I,J,K,bi,bj) |
| 212 |
mlosch |
1.1 |
& + deltaTggl90*( |
| 213 |
|
|
& + KappaM*verticalShear |
| 214 |
dfer |
1.10 |
& - KappaH*Nsquare |
| 215 |
|
|
c & - KappaM*Nsquare/TKEPrandtlNumber(I,J,K) |
| 216 |
jmc |
1.8 |
& - TKEdissipation |
| 217 |
mlosch |
1.1 |
& ) |
| 218 |
jmc |
1.8 |
ENDDO |
| 219 |
mlosch |
1.1 |
ENDDO |
| 220 |
mlosch |
1.2 |
ENDDO |
| 221 |
jmc |
1.8 |
C horizontal diffusion of TKE (requires an exchange in |
| 222 |
|
|
C do_fields_blocking_exchanges) |
| 223 |
mlosch |
1.2 |
#ifdef ALLOW_GGL90_HORIZDIFF |
| 224 |
|
|
IF ( GGL90diffTKEh .GT. 0. _d 0 ) THEN |
| 225 |
|
|
DO K=2,Nr |
| 226 |
|
|
C common factors |
| 227 |
|
|
DO j=1-Oly,sNy+Oly |
| 228 |
|
|
DO i=1-Olx,sNx+Olx |
| 229 |
|
|
xA(i,j) = _dyG(i,j,bi,bj) |
| 230 |
|
|
& *drF(k)*_hFacW(i,j,k,bi,bj) |
| 231 |
|
|
yA(i,j) = _dxG(i,j,bi,bj) |
| 232 |
|
|
& *drF(k)*_hFacS(i,j,k,bi,bj) |
| 233 |
|
|
ENDDO |
| 234 |
jmc |
1.8 |
ENDDO |
| 235 |
mlosch |
1.2 |
C Compute diffusive fluxes |
| 236 |
|
|
C ... across x-faces |
| 237 |
|
|
DO j=1-Oly,sNy+Oly |
| 238 |
dfer |
1.10 |
dfx(1-Olx,j)=0. _d 0 |
| 239 |
mlosch |
1.2 |
DO i=1-Olx+1,sNx+Olx |
| 240 |
|
|
dfx(i,j) = -GGL90diffTKEh*xA(i,j) |
| 241 |
|
|
& *_recip_dxC(i,j,bi,bj) |
| 242 |
|
|
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i-1,j,k,bi,bj)) |
| 243 |
|
|
& *CosFacU(j,bi,bj) |
| 244 |
|
|
ENDDO |
| 245 |
|
|
ENDDO |
| 246 |
|
|
C ... across y-faces |
| 247 |
|
|
DO i=1-Olx,sNx+Olx |
| 248 |
dfer |
1.10 |
dfy(i,1-Oly)=0. _d 0 |
| 249 |
mlosch |
1.2 |
ENDDO |
| 250 |
|
|
DO j=1-Oly+1,sNy+Oly |
| 251 |
|
|
DO i=1-Olx,sNx+Olx |
| 252 |
|
|
dfy(i,j) = -GGL90diffTKEh*yA(i,j) |
| 253 |
|
|
& *_recip_dyC(i,j,bi,bj) |
| 254 |
|
|
& *(GGL90TKE(i,j,k,bi,bj)-GGL90TKE(i,j-1,k,bi,bj)) |
| 255 |
|
|
#ifdef ISOTROPIC_COS_SCALING |
| 256 |
|
|
& *CosFacV(j,bi,bj) |
| 257 |
|
|
#endif /* ISOTROPIC_COS_SCALING */ |
| 258 |
|
|
ENDDO |
| 259 |
jmc |
1.8 |
ENDDO |
| 260 |
mlosch |
1.2 |
C Compute divergence of fluxes |
| 261 |
|
|
DO j=1-Oly,sNy+Oly-1 |
| 262 |
|
|
DO i=1-Olx,sNx+Olx-1 |
| 263 |
|
|
gTKE(i,j,k)=gTKE(i,j,k) |
| 264 |
|
|
& -_recip_hFacC(i,j,k,bi,bj)*recip_drF(k)*recip_rA(i,j,bi,bj) |
| 265 |
|
|
& *( (dfx(i+1,j)-dfx(i,j)) |
| 266 |
jmc |
1.8 |
& +(dfy(i,j+1)-dfy(i,j)) |
| 267 |
mlosch |
1.2 |
& ) |
| 268 |
jmc |
1.8 |
ENDDO |
| 269 |
mlosch |
1.2 |
ENDDO |
| 270 |
jmc |
1.8 |
C end of k-loop |
| 271 |
mlosch |
1.2 |
ENDDO |
| 272 |
|
|
C end if GGL90diffTKEh .eq. 0. |
| 273 |
|
|
ENDIF |
| 274 |
|
|
#endif /* ALLOW_GGL90_HORIZDIFF */ |
| 275 |
|
|
|
| 276 |
|
|
C ============================================ |
| 277 |
|
|
C Implicit time step to update TKE for k=1,Nr; |
| 278 |
|
|
C TKE(Nr+1)=0 by default |
| 279 |
|
|
C ============================================ |
| 280 |
mlosch |
1.1 |
C set up matrix |
| 281 |
mlosch |
1.2 |
C-- Lower diagonal |
| 282 |
mlosch |
1.1 |
DO j=jMin,jMax |
| 283 |
|
|
DO i=iMin,iMax |
| 284 |
jmc |
1.8 |
a(i,j,1) = 0. _d 0 |
| 285 |
mlosch |
1.1 |
ENDDO |
| 286 |
|
|
ENDDO |
| 287 |
|
|
DO k=2,Nr |
| 288 |
|
|
km1=MAX(1,k-1) |
| 289 |
|
|
DO j=jMin,jMax |
| 290 |
|
|
DO i=iMin,iMax |
| 291 |
|
|
a(i,j,k) = -deltaTggl90 |
| 292 |
|
|
& *recip_drF(km1)*recip_hFacI(i,j,k,bi,bj) |
| 293 |
dfer |
1.10 |
& *.5 _d 0*(KappaE(i,j, k )+KappaE(i,j,km1)) |
| 294 |
mlosch |
1.1 |
& *recip_drC(k) |
| 295 |
dfer |
1.10 |
IF (recip_hFacI(i,j,km1,bi,bj).EQ.0. _d 0) a(i,j,k)=0. _d 0 |
| 296 |
mlosch |
1.1 |
ENDDO |
| 297 |
|
|
ENDDO |
| 298 |
|
|
ENDDO |
| 299 |
mlosch |
1.2 |
C-- Upper diagonal |
| 300 |
mlosch |
1.1 |
DO j=jMin,jMax |
| 301 |
|
|
DO i=iMin,iMax |
| 302 |
|
|
c(i,j,1) = 0. _d 0 |
| 303 |
|
|
c(i,j,Nr) = 0. _d 0 |
| 304 |
|
|
ENDDO |
| 305 |
|
|
ENDDO |
| 306 |
|
|
CML DO k=1,Nr-1 |
| 307 |
mlosch |
1.2 |
DO k=2,Nr-1 |
| 308 |
mlosch |
1.1 |
kp1=min(Nr,k+1) |
| 309 |
|
|
DO j=jMin,jMax |
| 310 |
|
|
DO i=iMin,iMax |
| 311 |
|
|
c(i,j,k) = -deltaTggl90 |
| 312 |
|
|
& *recip_drF( k )*recip_hFacI(i,j,k,bi,bj) |
| 313 |
dfer |
1.10 |
& *.5 _d 0*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
| 314 |
mlosch |
1.1 |
& *recip_drC(k) |
| 315 |
dfer |
1.10 |
IF (recip_hFacI(i,j,kp1,bi,bj).EQ.0. _d 0) c(i,j,k)=0. _d 0 |
| 316 |
mlosch |
1.1 |
ENDDO |
| 317 |
|
|
ENDDO |
| 318 |
|
|
ENDDO |
| 319 |
mlosch |
1.2 |
C-- Center diagonal |
| 320 |
mlosch |
1.1 |
DO k=1,Nr |
| 321 |
|
|
DO j=jMin,jMax |
| 322 |
|
|
DO i=iMin,iMax |
| 323 |
|
|
b(i,j,k) = 1. _d 0 - c(i,j,k) - a(i,j,k) |
| 324 |
|
|
& + ab15*deltaTggl90*GGL90ceps*SQRT(GGL90TKE(I,J,K,bi,bj)) |
| 325 |
mlosch |
1.7 |
& *rMixingLength(I,J,K) |
| 326 |
mlosch |
1.1 |
ENDDO |
| 327 |
|
|
ENDDO |
| 328 |
|
|
ENDDO |
| 329 |
|
|
C end set up matrix |
| 330 |
|
|
|
| 331 |
|
|
C |
| 332 |
|
|
C Apply boundary condition |
| 333 |
jmc |
1.8 |
C |
| 334 |
mlosch |
1.1 |
DO J=jMin,jMax |
| 335 |
|
|
DO I=iMin,iMax |
| 336 |
|
|
C estimate friction velocity uStar from surface forcing |
| 337 |
jmc |
1.8 |
uStarSquare = SQRT( |
| 338 |
dfer |
1.10 |
& ( .5 _d 0*( surfaceForcingU(I, J, bi,bj) |
| 339 |
mlosch |
1.1 |
& + surfaceForcingU(I+1,J, bi,bj) ) )**2 |
| 340 |
dfer |
1.10 |
& + ( .5 _d 0*( surfaceForcingV(I, J, bi,bj) |
| 341 |
mlosch |
1.1 |
& + surfaceForcingV(I, J+1,bi,bj) ) )**2 |
| 342 |
|
|
& ) |
| 343 |
|
|
C Dirichlet surface boundary condition for TKE |
| 344 |
mlosch |
1.6 |
gTKE(I,J,kSurf) = MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
| 345 |
mlosch |
1.1 |
& *maskC(I,J,kSurf,bi,bj) |
| 346 |
|
|
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
| 347 |
|
|
kBottom = MIN(MAX(kLowC(I,J,bi,bj),1),Nr) |
| 348 |
jmc |
1.8 |
gTKE(I,J,kBottom) = gTKE(I,J,kBottom) |
| 349 |
mlosch |
1.1 |
& - GGL90TKEbottom*c(I,J,kBottom) |
| 350 |
|
|
ENDDO |
| 351 |
jmc |
1.8 |
ENDDO |
| 352 |
mlosch |
1.1 |
C |
| 353 |
|
|
C solve tri-diagonal system, and store solution on gTKE (previously rhs) |
| 354 |
|
|
C |
| 355 |
|
|
CALL GGL90_SOLVE( bi, bj, iMin, iMax, jMin, jMax, |
| 356 |
|
|
I a, b, c, |
| 357 |
|
|
U gTKE, |
| 358 |
|
|
I myThid ) |
| 359 |
|
|
C |
| 360 |
|
|
C now update TKE |
| 361 |
jmc |
1.8 |
C |
| 362 |
mlosch |
1.1 |
DO K=1,Nr |
| 363 |
|
|
DO J=jMin,jMax |
| 364 |
|
|
DO I=iMin,iMax |
| 365 |
|
|
C impose minimum TKE to avoid numerical undershoots below zero |
| 366 |
jmc |
1.8 |
GGL90TKE(I,J,K,bi,bj) = MAX( gTKE(I,J,K), GGL90TKEmin ) |
| 367 |
mlosch |
1.1 |
& * maskC(I,J,K,bi,bj) |
| 368 |
|
|
ENDDO |
| 369 |
|
|
ENDDO |
| 370 |
jmc |
1.8 |
ENDDO |
| 371 |
mlosch |
1.1 |
C |
| 372 |
mlosch |
1.2 |
C end of time step |
| 373 |
|
|
C =============================== |
| 374 |
mlosch |
1.1 |
C compute viscosity coefficients |
| 375 |
jmc |
1.8 |
C |
| 376 |
dfer |
1.10 |
c DO K=2,Nr |
| 377 |
|
|
c DO J=jMin,jMax |
| 378 |
|
|
c DO I=iMin,iMax |
| 379 |
mlosch |
1.1 |
C Eq. (11), (18) and (21) |
| 380 |
dfer |
1.10 |
c KappaM = GGL90ck*GGL90mixingLength(I,J,K)* |
| 381 |
|
|
c & SQRT( GGL90TKE(I,J,K,bi,bj) ) |
| 382 |
|
|
c KappaH = KappaM/TKEPrandtlNumber(I,J,K) |
| 383 |
mlosch |
1.1 |
C Set a minium (= background) value |
| 384 |
dfer |
1.10 |
c KappaM = MAX(KappaM,viscAr) |
| 385 |
|
|
c KappaH = MAX(KappaH,diffKrNrT(k)) |
| 386 |
mlosch |
1.1 |
C Set a maximum and mask land point |
| 387 |
dfer |
1.10 |
c GGL90viscAr(I,J,K,bi,bj) = MIN(KappaM,GGL90viscMax) |
| 388 |
|
|
c & * maskC(I,J,K,bi,bj) |
| 389 |
|
|
c GGL90diffKr(I,J,K,bi,bj) = MIN(KappaH,GGL90diffMax) |
| 390 |
|
|
c & * maskC(I,J,K,bi,bj) |
| 391 |
|
|
c ENDDO |
| 392 |
|
|
c ENDDO |
| 393 |
mlosch |
1.1 |
C end third k-loop |
| 394 |
dfer |
1.10 |
c ENDDO |
| 395 |
|
|
|
| 396 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
| 397 |
|
|
IF ( useDiagnostics ) THEN |
| 398 |
|
|
CALL DIAGNOSTICS_FILL( GGL90TKE ,'GGL90TKE', |
| 399 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
| 400 |
|
|
CALL DIAGNOSTICS_FILL( GGL90viscAr,'GGL90Ar ', |
| 401 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
| 402 |
|
|
CALL DIAGNOSTICS_FILL( GGL90diffKr,'GGL90Kr ', |
| 403 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
| 404 |
|
|
CALL DIAGNOSTICS_FILL( TKEPrandtlNumber ,'GGL90Prl', |
| 405 |
|
|
& 0,Nr, 2, bi, bj, myThid ) |
| 406 |
|
|
CALL DIAGNOSTICS_FILL( GGL90mixingLength,'GGL90Lmx', |
| 407 |
|
|
& 0,Nr, 2, bi, bj, myThid ) |
| 408 |
|
|
ENDIF |
| 409 |
|
|
#endif |
| 410 |
mlosch |
1.1 |
|
| 411 |
|
|
#endif /* ALLOW_GGL90 */ |
| 412 |
|
|
|
| 413 |
|
|
RETURN |
| 414 |
|
|
END |
| 415 |
|
|
|
Parent Directory
| 
Revision Log
| 
Revision Graph