| 1 |
dfer |
1.13 |
C $Header: /u/gcmpack/MITgcm/pkg/ggl90/ggl90_calc.F,v 1.12 2009/10/08 20:07:18 jmc 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 |
jmc |
1.12 |
C *==========================================================* |
| 15 |
mlosch |
1.1 |
C | SUBROUTINE GGL90_CALC | |
| 16 |
|
|
C | o Compute all GGL90 fields defined in GGL90.h | |
| 17 |
jmc |
1.12 |
C *==========================================================* |
| 18 |
mlosch |
1.1 |
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 |
jmc |
1.12 |
C *==========================================================* |
| 25 |
mlosch |
1.1 |
|
| 26 |
|
|
C global parameters updated by ggl90_calc |
| 27 |
jmc |
1.12 |
C GGL90TKE :: sub-grid turbulent kinetic energy (m^2/s^2) |
| 28 |
|
|
C GGL90viscAz :: GGL90 eddy viscosity coefficient (m^2/s) |
| 29 |
|
|
C GGL90diffKzT :: GGL90 diffusion coefficient for temperature (m^2/s) |
| 30 |
mlosch |
1.1 |
C |
| 31 |
|
|
C \ev |
| 32 |
|
|
|
| 33 |
|
|
C !USES: ============================================================ |
| 34 |
jmc |
1.12 |
IMPLICIT NONE |
| 35 |
mlosch |
1.1 |
#include "SIZE.h" |
| 36 |
|
|
#include "EEPARAMS.h" |
| 37 |
|
|
#include "PARAMS.h" |
| 38 |
|
|
#include "DYNVARS.h" |
| 39 |
|
|
#include "GGL90.h" |
| 40 |
|
|
#include "FFIELDS.h" |
| 41 |
|
|
#include "GRID.h" |
| 42 |
|
|
|
| 43 |
|
|
C !INPUT PARAMETERS: =================================================== |
| 44 |
jmc |
1.12 |
C Routine arguments |
| 45 |
|
|
C bi, bj :: array indices on which to apply calculations |
| 46 |
|
|
C myTime :: Current time in simulation |
| 47 |
|
|
C myThid :: My Thread Id number |
| 48 |
mlosch |
1.1 |
INTEGER bi, bj |
| 49 |
jmc |
1.12 |
_RL myTime |
| 50 |
mlosch |
1.1 |
INTEGER myThid |
| 51 |
jmc |
1.12 |
CEOP |
| 52 |
mlosch |
1.1 |
|
| 53 |
|
|
#ifdef ALLOW_GGL90 |
| 54 |
|
|
|
| 55 |
|
|
C !LOCAL VARIABLES: ==================================================== |
| 56 |
jmc |
1.12 |
C Local constants |
| 57 |
mlosch |
1.1 |
C iMin, iMax, jMin, jMax, I, J - array computation indices |
| 58 |
|
|
C K, Kp1, km1, kSurf, kBottom - vertical loop indices |
| 59 |
|
|
C ab15, ab05 - weights for implicit timestepping |
| 60 |
|
|
C uStarSquare - square of friction velocity |
| 61 |
|
|
C verticalShear - (squared) vertical shear of horizontal velocity |
| 62 |
jmc |
1.8 |
C Nsquare - squared buoyancy freqency |
| 63 |
mlosch |
1.1 |
C RiNumber - local Richardson number |
| 64 |
|
|
C KappaM - (local) viscosity parameter (eq.10) |
| 65 |
|
|
C KappaH - (local) diffusivity parameter for temperature (eq.11) |
| 66 |
|
|
C KappaE - (local) diffusivity parameter for TKE (eq.15) |
| 67 |
|
|
C TKEdissipation - dissipation of TKE |
| 68 |
|
|
C GGL90mixingLength- mixing length of scheme following Banke+Delecuse |
| 69 |
mlosch |
1.7 |
C rMixingLength- inverse of mixing length |
| 70 |
mlosch |
1.1 |
C totalDepth - thickness of water column (inverse of recip_Rcol) |
| 71 |
|
|
C TKEPrandtlNumber - here, an empirical function of the Richardson number |
| 72 |
|
|
C rhoK, rhoKm1 - density at layer K and Km1 (relative to K) |
| 73 |
|
|
C gTKE - right hand side of implicit equation |
| 74 |
|
|
INTEGER iMin ,iMax ,jMin ,jMax |
| 75 |
|
|
INTEGER I, J, K, Kp1, Km1, kSurf, kBottom |
| 76 |
|
|
_RL ab15, ab05 |
| 77 |
|
|
_RL uStarSquare |
| 78 |
|
|
_RL verticalShear |
| 79 |
|
|
_RL KappaM, KappaH |
| 80 |
dfer |
1.11 |
c _RL Nsquare |
| 81 |
|
|
_RL Nsquare(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 82 |
mlosch |
1.1 |
_RL deltaTggl90 |
| 83 |
dfer |
1.11 |
c _RL SQRTTKE |
| 84 |
|
|
_RL SQRTTKE(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 85 |
mlosch |
1.1 |
_RL RiNumber |
| 86 |
|
|
_RL TKEdissipation |
| 87 |
|
|
_RL tempU, tempV, prTemp |
| 88 |
dfer |
1.13 |
_RL MaxLength, tmpmlx |
| 89 |
mlosch |
1.1 |
_RL TKEPrandtlNumber (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 90 |
|
|
_RL GGL90mixingLength(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 91 |
dfer |
1.13 |
_RL rMixingLength (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 92 |
|
|
_RL mxLength_Dn (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 93 |
mlosch |
1.1 |
_RL KappaE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 94 |
|
|
_RL rhoK (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 95 |
|
|
_RL rhoKm1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 96 |
|
|
_RL totalDepth (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 97 |
|
|
_RL gTKE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 98 |
dfer |
1.13 |
C- tri-diagonal matrix |
| 99 |
mlosch |
1.1 |
_RL a(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 100 |
|
|
_RL b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 101 |
|
|
_RL c(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 102 |
mlosch |
1.2 |
#ifdef ALLOW_GGL90_HORIZDIFF |
| 103 |
dfer |
1.13 |
C- xA, yA - area of lateral faces |
| 104 |
|
|
C- dfx, dfy - diffusive flux across lateral faces |
| 105 |
mlosch |
1.2 |
_RL xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 106 |
|
|
_RL yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 107 |
|
|
_RL dfx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 108 |
|
|
_RL dfy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 109 |
|
|
#endif /* ALLOW_GGL90_HORIZDIFF */ |
| 110 |
dfer |
1.11 |
#ifdef ALLOW_GGL90_SMOOTH |
| 111 |
|
|
_RL p4, p8, p16, tmpdiffKrS |
| 112 |
|
|
p4=0.25 _d 0 |
| 113 |
|
|
p8=0.125 _d 0 |
| 114 |
|
|
p16=0.0625 _d 0 |
| 115 |
|
|
#endif |
| 116 |
mlosch |
1.1 |
iMin = 2-OLx |
| 117 |
|
|
iMax = sNx+OLx-1 |
| 118 |
|
|
jMin = 2-OLy |
| 119 |
|
|
jMax = sNy+OLy-1 |
| 120 |
|
|
|
| 121 |
|
|
C set separate time step (should be deltaTtracer) |
| 122 |
jmc |
1.4 |
deltaTggl90 = dTtracerLev(1) |
| 123 |
jmc |
1.12 |
|
| 124 |
mlosch |
1.1 |
kSurf = 1 |
| 125 |
|
|
C implicit timestepping weights for dissipation |
| 126 |
|
|
ab15 = 1.5 _d 0 |
| 127 |
|
|
ab05 = -0.5 _d 0 |
| 128 |
|
|
ab15 = 1. _d 0 |
| 129 |
|
|
ab05 = 0. _d 0 |
| 130 |
|
|
|
| 131 |
|
|
C Initialize local fields |
| 132 |
|
|
DO K = 1, Nr |
| 133 |
|
|
DO J=1-Oly,sNy+Oly |
| 134 |
|
|
DO I=1-Olx,sNx+Olx |
| 135 |
|
|
gTKE(I,J,K) = 0. _d 0 |
| 136 |
|
|
KappaE(I,J,K) = 0. _d 0 |
| 137 |
dfer |
1.13 |
TKEPrandtlNumber(I,J,K) = 1. _d 0 |
| 138 |
mlosch |
1.7 |
GGL90mixingLength(I,J,K) = GGL90mixingLengthMin |
| 139 |
|
|
rMixingLength(I,J,K) = 0. _d 0 |
| 140 |
mlosch |
1.1 |
ENDDO |
| 141 |
jmc |
1.8 |
ENDDO |
| 142 |
mlosch |
1.1 |
ENDDO |
| 143 |
|
|
DO J=1-Oly,sNy+Oly |
| 144 |
|
|
DO I=1-Olx,sNx+Olx |
| 145 |
dfer |
1.13 |
rhoK(I,J) = 0. _d 0 |
| 146 |
|
|
rhoKm1(I,J) = 0. _d 0 |
| 147 |
|
|
totalDepth(I,J) = Ro_surf(i,j,bi,bj) - R_low(i,j,bi,bj) |
| 148 |
|
|
mxLength_Dn(I,J,1) = GGL90mixingLengthMin |
| 149 |
mlosch |
1.1 |
ENDDO |
| 150 |
|
|
ENDDO |
| 151 |
|
|
|
| 152 |
|
|
C start k-loop |
| 153 |
|
|
DO K = 2, Nr |
| 154 |
|
|
Km1 = K-1 |
| 155 |
dfer |
1.11 |
c Kp1 = MIN(Nr,K+1) |
| 156 |
jmc |
1.8 |
CALL FIND_RHO_2D( |
| 157 |
|
|
I iMin, iMax, jMin, jMax, K, |
| 158 |
|
|
I theta(1-OLx,1-OLy,Km1,bi,bj), salt(1-OLx,1-OLy,Km1,bi,bj), |
| 159 |
mlosch |
1.1 |
O rhoKm1, |
| 160 |
jmc |
1.8 |
I Km1, bi, bj, myThid ) |
| 161 |
|
|
|
| 162 |
|
|
CALL FIND_RHO_2D( |
| 163 |
|
|
I iMin, iMax, jMin, jMax, K, |
| 164 |
|
|
I theta(1-OLx,1-OLy,K,bi,bj), salt(1-OLx,1-OLy,K,bi,bj), |
| 165 |
mlosch |
1.1 |
O rhoK, |
| 166 |
jmc |
1.8 |
I K, bi, bj, myThid ) |
| 167 |
mlosch |
1.1 |
DO J=jMin,jMax |
| 168 |
|
|
DO I=iMin,iMax |
| 169 |
dfer |
1.11 |
SQRTTKE(i,j,k)=SQRT( GGL90TKE(I,J,K,bi,bj) ) |
| 170 |
mlosch |
1.1 |
C |
| 171 |
|
|
C buoyancy frequency |
| 172 |
|
|
C |
| 173 |
dfer |
1.11 |
Nsquare(i,j,k) = - gravity*recip_rhoConst*recip_drC(K) |
| 174 |
mlosch |
1.1 |
& * ( rhoKm1(I,J) - rhoK(I,J) )*maskC(I,J,K,bi,bj) |
| 175 |
dfer |
1.11 |
cC vertical shear term (dU/dz)^2+(dV/dz)^2 |
| 176 |
|
|
c tempU= .5 _d 0*( uVel(I,J,Km1,bi,bj)+uVel(I+1,J,Km1,bi,bj) |
| 177 |
|
|
c & -( uVel(I,J,K ,bi,bj)+uVel(I+1,J,K ,bi,bj)) ) |
| 178 |
|
|
c & *recip_drC(K) |
| 179 |
|
|
c tempV= .5 _d 0*( vVel(I,J,Km1,bi,bj)+vVel(I,J+1,Km1,bi,bj) |
| 180 |
|
|
c & -( vVel(I,J,K ,bi,bj)+vVel(I,J+1,K ,bi,bj)) ) |
| 181 |
|
|
c & *recip_drC(K) |
| 182 |
|
|
c verticalShear = tempU*tempU + tempV*tempV |
| 183 |
|
|
c RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
| 184 |
|
|
cC compute Prandtl number (always greater than 0) |
| 185 |
|
|
c prTemp = 1. _d 0 |
| 186 |
|
|
c IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
| 187 |
|
|
c TKEPrandtlNumber(I,J,K) = MIN(10. _d 0,prTemp) |
| 188 |
|
|
C mixing length |
| 189 |
|
|
GGL90mixingLength(I,J,K) = SQRTTWO * |
| 190 |
|
|
& SQRTTKE(i,j,k)/SQRT( MAX(Nsquare(i,j,k),GGL90eps) ) |
| 191 |
|
|
ENDDO |
| 192 |
|
|
ENDDO |
| 193 |
|
|
ENDDO |
| 194 |
|
|
|
| 195 |
dfer |
1.13 |
C- Impose upper and lower bound for mixing length |
| 196 |
dfer |
1.11 |
IF ( mxlMaxFlag .EQ. 0 ) THEN |
| 197 |
dfer |
1.13 |
C- |
| 198 |
dfer |
1.11 |
DO k=2,Nr |
| 199 |
|
|
DO J=jMin,jMax |
| 200 |
|
|
DO I=iMin,iMax |
| 201 |
|
|
MaxLength=totalDepth(I,J) |
| 202 |
|
|
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
| 203 |
dfer |
1.13 |
& MaxLength) |
| 204 |
dfer |
1.11 |
ENDDO |
| 205 |
|
|
ENDDO |
| 206 |
|
|
ENDDO |
| 207 |
dfer |
1.13 |
|
| 208 |
|
|
DO k=2,Nr |
| 209 |
|
|
DO J=jMin,jMax |
| 210 |
|
|
DO I=iMin,iMax |
| 211 |
|
|
GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
| 212 |
|
|
& GGL90mixingLengthMin) |
| 213 |
|
|
rMixingLength(I,J,K) = 1. _d 0 / GGL90mixingLength(I,J,K) |
| 214 |
|
|
ENDDO |
| 215 |
|
|
ENDDO |
| 216 |
|
|
ENDDO |
| 217 |
|
|
|
| 218 |
dfer |
1.11 |
ELSEIF ( mxlMaxFlag .EQ. 1 ) THEN |
| 219 |
dfer |
1.13 |
C- |
| 220 |
dfer |
1.11 |
DO k=2,Nr |
| 221 |
|
|
DO J=jMin,jMax |
| 222 |
|
|
DO I=iMin,iMax |
| 223 |
|
|
MaxLength=MIN(Ro_surf(I,J,bi,bj)-rF(k),rF(k)-R_low(I,J,bi,bj)) |
| 224 |
|
|
c MaxLength=MAX(MaxLength,20. _d 0) |
| 225 |
|
|
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
| 226 |
dfer |
1.13 |
& MaxLength) |
| 227 |
|
|
ENDDO |
| 228 |
|
|
ENDDO |
| 229 |
|
|
ENDDO |
| 230 |
|
|
|
| 231 |
|
|
DO k=2,Nr |
| 232 |
|
|
DO J=jMin,jMax |
| 233 |
|
|
DO I=iMin,iMax |
| 234 |
|
|
GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
| 235 |
|
|
& GGL90mixingLengthMin) |
| 236 |
|
|
rMixingLength(I,J,K) = 1. _d 0 / GGL90mixingLength(I,J,K) |
| 237 |
dfer |
1.11 |
ENDDO |
| 238 |
|
|
ENDDO |
| 239 |
|
|
ENDDO |
| 240 |
dfer |
1.13 |
|
| 241 |
dfer |
1.11 |
ELSEIF ( mxlMaxFlag .EQ. 2 ) THEN |
| 242 |
dfer |
1.13 |
C- |
| 243 |
dfer |
1.11 |
DO k=2,Nr |
| 244 |
|
|
DO J=jMin,jMax |
| 245 |
|
|
DO I=iMin,iMax |
| 246 |
|
|
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
| 247 |
|
|
& GGL90mixingLength(I,J,K-1)+drF(k-1)) |
| 248 |
|
|
ENDDO |
| 249 |
|
|
ENDDO |
| 250 |
|
|
ENDDO |
| 251 |
|
|
DO J=jMin,jMax |
| 252 |
|
|
DO I=iMin,iMax |
| 253 |
|
|
GGL90mixingLength(I,J,Nr) = MIN(GGL90mixingLength(I,J,Nr), |
| 254 |
|
|
& GGL90mixingLengthMin+drF(Nr)) |
| 255 |
|
|
ENDDO |
| 256 |
|
|
ENDDO |
| 257 |
|
|
DO k=Nr-1,2,-1 |
| 258 |
|
|
DO J=jMin,jMax |
| 259 |
|
|
DO I=iMin,iMax |
| 260 |
|
|
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
| 261 |
|
|
& GGL90mixingLength(I,J,K+1)+drF(k)) |
| 262 |
jmc |
1.12 |
ENDDO |
| 263 |
|
|
ENDDO |
| 264 |
dfer |
1.11 |
ENDDO |
| 265 |
|
|
|
| 266 |
dfer |
1.13 |
DO k=2,Nr |
| 267 |
|
|
DO J=jMin,jMax |
| 268 |
|
|
DO I=iMin,iMax |
| 269 |
|
|
GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
| 270 |
|
|
& GGL90mixingLengthMin) |
| 271 |
|
|
rMixingLength(I,J,K) = 1. _d 0 / GGL90mixingLength(I,J,K) |
| 272 |
|
|
ENDDO |
| 273 |
|
|
ENDDO |
| 274 |
|
|
ENDDO |
| 275 |
|
|
|
| 276 |
|
|
ELSEIF ( mxlMaxFlag .EQ. 3 ) THEN |
| 277 |
|
|
C- |
| 278 |
|
|
DO k=2,Nr |
| 279 |
|
|
DO J=jMin,jMax |
| 280 |
|
|
DO I=iMin,iMax |
| 281 |
|
|
mxLength_Dn(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
| 282 |
|
|
& mxLength_Dn(I,J,K-1)+drF(k-1)) |
| 283 |
|
|
ENDDO |
| 284 |
|
|
ENDDO |
| 285 |
|
|
ENDDO |
| 286 |
dfer |
1.11 |
DO J=jMin,jMax |
| 287 |
|
|
DO I=iMin,iMax |
| 288 |
dfer |
1.13 |
GGL90mixingLength(I,J,Nr) = MIN(GGL90mixingLength(I,J,Nr), |
| 289 |
|
|
& GGL90mixingLengthMin+drF(Nr)) |
| 290 |
|
|
ENDDO |
| 291 |
|
|
ENDDO |
| 292 |
|
|
DO k=Nr-1,2,-1 |
| 293 |
|
|
DO J=jMin,jMax |
| 294 |
|
|
DO I=iMin,iMax |
| 295 |
|
|
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
| 296 |
|
|
& GGL90mixingLength(I,J,K+1)+drF(k)) |
| 297 |
|
|
ENDDO |
| 298 |
dfer |
1.11 |
ENDDO |
| 299 |
|
|
ENDDO |
| 300 |
dfer |
1.13 |
|
| 301 |
|
|
DO k=2,Nr |
| 302 |
|
|
DO J=jMin,jMax |
| 303 |
|
|
DO I=iMin,iMax |
| 304 |
|
|
GGL90mixingLength(I,J,K) = MIN(GGL90mixingLength(I,J,K), |
| 305 |
|
|
& mxLength_Dn(I,J,K)) |
| 306 |
|
|
tmpmlx = SQRT(GGL90mixingLength(I,J,K) * mxLength_Dn(I,J,K)) |
| 307 |
|
|
tmpmlx = MAX( tmpmlx, GGL90mixingLengthMin) |
| 308 |
|
|
rMixingLength(I,J,K) = 1. _d 0 / tmpmlx |
| 309 |
|
|
ENDDO |
| 310 |
|
|
ENDDO |
| 311 |
|
|
ENDDO |
| 312 |
|
|
|
| 313 |
|
|
ELSE |
| 314 |
|
|
STOP 'GGL90_CALC: Wrong mxlMaxFlag (mixing length limit)' |
| 315 |
|
|
ENDIF |
| 316 |
|
|
|
| 317 |
|
|
C- Impose minimum mixing length (to avoid division by zero) |
| 318 |
|
|
c DO k=2,Nr |
| 319 |
|
|
c DO J=jMin,jMax |
| 320 |
|
|
c DO I=iMin,iMax |
| 321 |
|
|
c GGL90mixingLength(I,J,K) = MAX(GGL90mixingLength(I,J,K), |
| 322 |
|
|
c & GGL90mixingLengthMin) |
| 323 |
|
|
c rMixingLength(I,J,K) = 1. _d 0 /GGL90mixingLength(I,J,K) |
| 324 |
|
|
c ENDDO |
| 325 |
|
|
c ENDDO |
| 326 |
|
|
c ENDDO |
| 327 |
dfer |
1.11 |
|
| 328 |
|
|
DO k=2,Nr |
| 329 |
|
|
Km1 = K-1 |
| 330 |
|
|
DO J=jMin,jMax |
| 331 |
|
|
DO I=iMin,iMax |
| 332 |
mlosch |
1.1 |
C vertical shear term (dU/dz)^2+(dV/dz)^2 |
| 333 |
dfer |
1.11 |
tempU= .5 _d 0*( uVel(I,J,Km1,bi,bj)+uVel(I+1,J,Km1,bi,bj) |
| 334 |
dfer |
1.10 |
& -( uVel(I,J,K ,bi,bj)+uVel(I+1,J,K ,bi,bj)) ) |
| 335 |
mlosch |
1.1 |
& *recip_drC(K) |
| 336 |
dfer |
1.11 |
tempV= .5 _d 0*( vVel(I,J,Km1,bi,bj)+vVel(I,J+1,Km1,bi,bj) |
| 337 |
dfer |
1.10 |
& -( vVel(I,J,K ,bi,bj)+vVel(I,J+1,K ,bi,bj)) ) |
| 338 |
mlosch |
1.1 |
& *recip_drC(K) |
| 339 |
|
|
verticalShear = tempU*tempU + tempV*tempV |
| 340 |
jmc |
1.12 |
RiNumber = MAX(Nsquare(i,j,k),0. _d 0)/(verticalShear+GGL90eps) |
| 341 |
mlosch |
1.1 |
C compute Prandtl number (always greater than 0) |
| 342 |
|
|
prTemp = 1. _d 0 |
| 343 |
dfer |
1.10 |
IF ( RiNumber .GE. 0.2 _d 0 ) prTemp = 5. _d 0 * RiNumber |
| 344 |
|
|
TKEPrandtlNumber(I,J,K) = MIN(10. _d 0,prTemp) |
| 345 |
dfer |
1.13 |
c TKEPrandtlNumber(I,J,K) = 1. _d 0 |
| 346 |
dfer |
1.11 |
|
| 347 |
|
|
C viscosity and diffusivity |
| 348 |
|
|
KappaM = GGL90ck*GGL90mixingLength(I,J,K)*SQRTTKE(i,j,k) |
| 349 |
dfer |
1.10 |
KappaH = KappaM/TKEPrandtlNumber(I,J,K) |
| 350 |
|
|
|
| 351 |
|
|
C Set a minium (= background) and maximum value |
| 352 |
jmc |
1.12 |
KappaM = MAX(KappaM,viscArNr(k)) |
| 353 |
dfer |
1.10 |
KappaH = MAX(KappaH,diffKrNrT(k)) |
| 354 |
|
|
KappaM = MIN(KappaM,GGL90viscMax) |
| 355 |
|
|
KappaH = MIN(KappaH,GGL90diffMax) |
| 356 |
|
|
|
| 357 |
dfer |
1.11 |
C Mask land points and storage |
| 358 |
dfer |
1.10 |
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 |
dfer |
1.11 |
KappaE(I,J,K) = GGL90alpha * GGL90viscAr(I,J,K,bi,bj) |
| 361 |
dfer |
1.10 |
|
| 362 |
mlosch |
1.1 |
C dissipation term |
| 363 |
|
|
TKEdissipation = ab05*GGL90ceps |
| 364 |
dfer |
1.11 |
& *SQRTTKE(i,j,k)*rMixingLength(I,J,K) |
| 365 |
jmc |
1.8 |
& *GGL90TKE(I,J,K,bi,bj) |
| 366 |
mlosch |
1.1 |
C sum up contributions to form the right hand side |
| 367 |
jmc |
1.8 |
gTKE(I,J,K) = GGL90TKE(I,J,K,bi,bj) |
| 368 |
mlosch |
1.1 |
& + deltaTggl90*( |
| 369 |
|
|
& + KappaM*verticalShear |
| 370 |
dfer |
1.11 |
& - KappaH*Nsquare(i,j,k) |
| 371 |
jmc |
1.8 |
& - TKEdissipation |
| 372 |
mlosch |
1.1 |
& ) |
| 373 |
jmc |
1.8 |
ENDDO |
| 374 |
mlosch |
1.1 |
ENDDO |
| 375 |
mlosch |
1.2 |
ENDDO |
| 376 |
dfer |
1.11 |
|
| 377 |
jmc |
1.8 |
C horizontal diffusion of TKE (requires an exchange in |
| 378 |
|
|
C do_fields_blocking_exchanges) |
| 379 |
mlosch |
1.2 |
#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 |
jmc |
1.8 |
ENDDO |
| 391 |
mlosch |
1.2 |
C Compute diffusive fluxes |
| 392 |
|
|
C ... across x-faces |
| 393 |
|
|
DO j=1-Oly,sNy+Oly |
| 394 |
dfer |
1.10 |
dfx(1-Olx,j)=0. _d 0 |
| 395 |
mlosch |
1.2 |
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 |
dfer |
1.10 |
dfy(i,1-Oly)=0. _d 0 |
| 405 |
mlosch |
1.2 |
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 |
jmc |
1.8 |
ENDDO |
| 416 |
mlosch |
1.2 |
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 |
jmc |
1.8 |
& +(dfy(i,j+1)-dfy(i,j)) |
| 423 |
mlosch |
1.2 |
& ) |
| 424 |
jmc |
1.8 |
ENDDO |
| 425 |
mlosch |
1.2 |
ENDDO |
| 426 |
jmc |
1.8 |
C end of k-loop |
| 427 |
mlosch |
1.2 |
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 |
mlosch |
1.1 |
C set up matrix |
| 437 |
mlosch |
1.2 |
C-- Lower diagonal |
| 438 |
mlosch |
1.1 |
DO j=jMin,jMax |
| 439 |
|
|
DO i=iMin,iMax |
| 440 |
jmc |
1.8 |
a(i,j,1) = 0. _d 0 |
| 441 |
mlosch |
1.1 |
ENDDO |
| 442 |
|
|
ENDDO |
| 443 |
|
|
DO k=2,Nr |
| 444 |
dfer |
1.11 |
km1=max(2,k-1) |
| 445 |
mlosch |
1.1 |
DO j=jMin,jMax |
| 446 |
|
|
DO i=iMin,iMax |
| 447 |
|
|
a(i,j,k) = -deltaTggl90 |
| 448 |
dfer |
1.11 |
c & *recip_drF(km1)*recip_hFacI(i,j,k,bi,bj) |
| 449 |
|
|
& *recip_drF(k-1)*recip_hFacC(i,j,k-1,bi,bj) |
| 450 |
dfer |
1.10 |
& *.5 _d 0*(KappaE(i,j, k )+KappaE(i,j,km1)) |
| 451 |
dfer |
1.11 |
& *recip_drC(k)*maskC(i,j,k,bi,bj)*maskC(i,j,k-1,bi,bj) |
| 452 |
mlosch |
1.1 |
ENDDO |
| 453 |
|
|
ENDDO |
| 454 |
|
|
ENDDO |
| 455 |
mlosch |
1.2 |
C-- Upper diagonal |
| 456 |
mlosch |
1.1 |
DO j=jMin,jMax |
| 457 |
|
|
DO i=iMin,iMax |
| 458 |
|
|
c(i,j,1) = 0. _d 0 |
| 459 |
|
|
ENDDO |
| 460 |
|
|
ENDDO |
| 461 |
dfer |
1.11 |
DO k=2,Nr |
| 462 |
mlosch |
1.1 |
DO j=jMin,jMax |
| 463 |
|
|
DO i=iMin,iMax |
| 464 |
dfer |
1.11 |
kp1=min(klowC(i,j,bi,bj),k+1) |
| 465 |
mlosch |
1.1 |
c(i,j,k) = -deltaTggl90 |
| 466 |
dfer |
1.11 |
c & *recip_drF( k )*recip_hFacI(i,j,k,bi,bj) |
| 467 |
|
|
& *recip_drF( k ) * recip_hFacC(i,j,k,bi,bj) |
| 468 |
|
|
& *.5 _d 0*(KappaE(i,j,k)+KappaE(i,j,kp1)) |
| 469 |
|
|
& *recip_drC(k)*maskC(i,j,k,bi,bj)*maskC(i,j,k-1,bi,bj) |
| 470 |
mlosch |
1.1 |
ENDDO |
| 471 |
|
|
ENDDO |
| 472 |
|
|
ENDDO |
| 473 |
mlosch |
1.2 |
C-- Center diagonal |
| 474 |
mlosch |
1.1 |
DO k=1,Nr |
| 475 |
|
|
DO j=jMin,jMax |
| 476 |
|
|
DO i=iMin,iMax |
| 477 |
|
|
b(i,j,k) = 1. _d 0 - c(i,j,k) - a(i,j,k) |
| 478 |
dfer |
1.13 |
& + ab15*deltaTggl90*GGL90ceps*SQRTTKE(I,J,K) |
| 479 |
dfer |
1.11 |
& *rMixingLength(I,J,K)*maskC(i,j,k,bi,bj) |
| 480 |
mlosch |
1.1 |
ENDDO |
| 481 |
|
|
ENDDO |
| 482 |
|
|
ENDDO |
| 483 |
|
|
C end set up matrix |
| 484 |
|
|
|
| 485 |
|
|
C |
| 486 |
|
|
C Apply boundary condition |
| 487 |
jmc |
1.8 |
C |
| 488 |
mlosch |
1.1 |
DO J=jMin,jMax |
| 489 |
|
|
DO I=iMin,iMax |
| 490 |
|
|
C estimate friction velocity uStar from surface forcing |
| 491 |
jmc |
1.8 |
uStarSquare = SQRT( |
| 492 |
dfer |
1.10 |
& ( .5 _d 0*( surfaceForcingU(I, J, bi,bj) |
| 493 |
mlosch |
1.1 |
& + surfaceForcingU(I+1,J, bi,bj) ) )**2 |
| 494 |
dfer |
1.10 |
& + ( .5 _d 0*( surfaceForcingV(I, J, bi,bj) |
| 495 |
mlosch |
1.1 |
& + surfaceForcingV(I, J+1,bi,bj) ) )**2 |
| 496 |
|
|
& ) |
| 497 |
|
|
C Dirichlet surface boundary condition for TKE |
| 498 |
mlosch |
1.6 |
gTKE(I,J,kSurf) = MAX(GGL90TKEsurfMin,GGL90m2*uStarSquare) |
| 499 |
mlosch |
1.1 |
& *maskC(I,J,kSurf,bi,bj) |
| 500 |
|
|
C Dirichlet bottom boundary condition for TKE = GGL90TKEbottom |
| 501 |
dfer |
1.11 |
kBottom = MAX(kLowC(I,J,bi,bj),1) |
| 502 |
jmc |
1.8 |
gTKE(I,J,kBottom) = gTKE(I,J,kBottom) |
| 503 |
dfer |
1.11 |
& - GGL90TKEbottom*c(I,J,kBottom) |
| 504 |
|
|
c(I,J,kBottom) = 0. _d 0 |
| 505 |
mlosch |
1.1 |
ENDDO |
| 506 |
jmc |
1.8 |
ENDDO |
| 507 |
mlosch |
1.1 |
C |
| 508 |
|
|
C solve tri-diagonal system, and store solution on gTKE (previously rhs) |
| 509 |
|
|
C |
| 510 |
|
|
CALL GGL90_SOLVE( bi, bj, iMin, iMax, jMin, jMax, |
| 511 |
|
|
I a, b, c, |
| 512 |
|
|
U gTKE, |
| 513 |
|
|
I myThid ) |
| 514 |
|
|
C |
| 515 |
|
|
C now update TKE |
| 516 |
jmc |
1.8 |
C |
| 517 |
mlosch |
1.1 |
DO K=1,Nr |
| 518 |
|
|
DO J=jMin,jMax |
| 519 |
|
|
DO I=iMin,iMax |
| 520 |
|
|
C impose minimum TKE to avoid numerical undershoots below zero |
| 521 |
jmc |
1.8 |
GGL90TKE(I,J,K,bi,bj) = MAX( gTKE(I,J,K), GGL90TKEmin ) |
| 522 |
mlosch |
1.1 |
& * maskC(I,J,K,bi,bj) |
| 523 |
|
|
ENDDO |
| 524 |
|
|
ENDDO |
| 525 |
jmc |
1.8 |
ENDDO |
| 526 |
dfer |
1.11 |
|
| 527 |
mlosch |
1.2 |
C end of time step |
| 528 |
|
|
C =============================== |
| 529 |
dfer |
1.11 |
|
| 530 |
|
|
#ifdef ALLOW_GGL90_SMOOTH |
| 531 |
|
|
DO K=1,Nr |
| 532 |
|
|
DO J=jMin,jMax |
| 533 |
|
|
DO I=iMin,iMax |
| 534 |
|
|
tmpdiffKrS= |
| 535 |
|
|
& ( |
| 536 |
|
|
& p4 * GGL90viscAr(i ,j ,k,bi,bj) * mskCor(i ,j ,bi,bj) |
| 537 |
|
|
& +p8 *( GGL90viscAr(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
| 538 |
|
|
& + GGL90viscAr(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
| 539 |
|
|
& + GGL90viscAr(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
| 540 |
|
|
& + GGL90viscAr(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
| 541 |
|
|
& +p16*( GGL90viscAr(i+1,j+1,k,bi,bj) * mskCor(i+1,j+1,bi,bj) |
| 542 |
|
|
& + GGL90viscAr(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj) |
| 543 |
|
|
& + GGL90viscAr(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
| 544 |
|
|
& + GGL90viscAr(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj)) |
| 545 |
|
|
& ) |
| 546 |
|
|
& /(p4 |
| 547 |
|
|
& +p8 *( maskC(i-1,j ,k,bi,bj) * mskCor(i-1,j ,bi,bj) |
| 548 |
|
|
& + maskC(i ,j-1,k,bi,bj) * mskCor(i ,j-1,bi,bj) |
| 549 |
|
|
& + maskC(i+1,j ,k,bi,bj) * mskCor(i+1,j ,bi,bj) |
| 550 |
|
|
& + maskC(i ,j+1,k,bi,bj) * mskCor(i ,j+1,bi,bj)) |
| 551 |
|
|
& +p16*( maskC(i+1,j+1,k,bi,bj) * mskCor(i+1,j+1,bi,bj) |
| 552 |
|
|
& + maskC(i+1,j-1,k,bi,bj) * mskCor(i+1,j-1,bi,bj) |
| 553 |
|
|
& + maskC(i-1,j+1,k,bi,bj) * mskCor(i-1,j+1,bi,bj) |
| 554 |
|
|
& + maskC(i-1,j-1,k,bi,bj) * mskCor(i-1,j-1,bi,bj)) |
| 555 |
|
|
& )*maskC(i,j,k,bi,bj)*mskCor(i,j,bi,bj) |
| 556 |
|
|
& /TKEPrandtlNumber(i,j,k) |
| 557 |
|
|
GGL90diffKrS(I,J,K,bi,bj)= MAX( tmpdiffKrS , diffKrNrT(k) ) |
| 558 |
|
|
ENDDO |
| 559 |
|
|
ENDDO |
| 560 |
|
|
ENDDO |
| 561 |
|
|
#endif |
| 562 |
dfer |
1.10 |
|
| 563 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
| 564 |
|
|
IF ( useDiagnostics ) THEN |
| 565 |
|
|
CALL DIAGNOSTICS_FILL( GGL90TKE ,'GGL90TKE', |
| 566 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
| 567 |
|
|
CALL DIAGNOSTICS_FILL( GGL90viscAr,'GGL90Ar ', |
| 568 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
| 569 |
|
|
CALL DIAGNOSTICS_FILL( GGL90diffKr,'GGL90Kr ', |
| 570 |
|
|
& 0,Nr, 1, bi, bj, myThid ) |
| 571 |
|
|
CALL DIAGNOSTICS_FILL( TKEPrandtlNumber ,'GGL90Prl', |
| 572 |
|
|
& 0,Nr, 2, bi, bj, myThid ) |
| 573 |
|
|
CALL DIAGNOSTICS_FILL( GGL90mixingLength,'GGL90Lmx', |
| 574 |
|
|
& 0,Nr, 2, bi, bj, myThid ) |
| 575 |
|
|
ENDIF |
| 576 |
|
|
#endif |
| 577 |
mlosch |
1.1 |
|
| 578 |
|
|
#endif /* ALLOW_GGL90 */ |
| 579 |
|
|
|
| 580 |
|
|
RETURN |
| 581 |
|
|
END |
Parent Directory
| 
Revision Log
| 
Revision Graph