| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/kl10/kl10_calc.F,v 1.4 2014/11/17 14:13:57 jmc Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "KL10_OPTIONS.h" |
| 5 |
|
| 6 |
CBOP |
| 7 |
C !ROUTINE: KL10_CALC |
| 8 |
|
| 9 |
C !INTERFACE: ======================================================= |
| 10 |
SUBROUTINE KL10_CALC( |
| 11 |
I bi, bj, sigmaR, myTime, myIter, myThid ) |
| 12 |
|
| 13 |
C !DESCRIPTION: \bv |
| 14 |
C *==========================================================* |
| 15 |
C | SUBROUTINE KL10_CALC | |
| 16 |
C | o Compute all KL10 fields defined in KL10.h | |
| 17 |
C *==========================================================* |
| 18 |
C | This subroutine is based on SPEM code | |
| 19 |
C *==========================================================* |
| 20 |
C \ev |
| 21 |
|
| 22 |
C-------------------------------------------------------------------- |
| 23 |
|
| 24 |
C JMK |
| 25 |
C global parameters updated by kl_calc |
| 26 |
C KLviscAz :: KL eddy viscosity coefficient (m^2/s) |
| 27 |
C KLdiffKzT :: KL diffusion coefficient for temperature (m^2/s) |
| 28 |
|
| 29 |
C !USES: ============================================================ |
| 30 |
IMPLICIT NONE |
| 31 |
#include "SIZE.h" |
| 32 |
#include "EEPARAMS.h" |
| 33 |
#include "PARAMS.h" |
| 34 |
#include "EOS.h" |
| 35 |
#include "GRID.h" |
| 36 |
#include "DYNVARS.h" |
| 37 |
#include "FFIELDS.h" |
| 38 |
#include "KL10.h" |
| 39 |
c#ifdef ALLOW_AUTODIFF_TAMC |
| 40 |
c# include "tamc.h" |
| 41 |
c# include "tamc_keys.h" |
| 42 |
c#endif /* ALLOW_AUTODIFF_TAMC */ |
| 43 |
|
| 44 |
C !INPUT PARAMETERS: =================================================== |
| 45 |
c Routine arguments |
| 46 |
C bi, bj :: Current tile indices |
| 47 |
C sigmaR :: Vertical gradient of iso-neutral density |
| 48 |
C myTime :: Current time in simulation |
| 49 |
C myIter :: Current time-step number |
| 50 |
C myThid :: My Thread Id number |
| 51 |
INTEGER bi, bj |
| 52 |
_RL sigmaR(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 53 |
_RL myTime |
| 54 |
INTEGER myIter |
| 55 |
INTEGER myThid |
| 56 |
|
| 57 |
#ifdef ALLOW_KL10 |
| 58 |
C !LOCAL VARIABLES: ==================================================== |
| 59 |
c Local constants |
| 60 |
C iMin, iMax, jMin, jMax :: array computation indices |
| 61 |
INTEGER I, J, K, Km1, JJ |
| 62 |
INTEGER iMin ,iMax ,jMin ,jMax,di |
| 63 |
_RL KLviscTmp, rhot, tempu |
| 64 |
_RL b0, buoyFreqf, buoyFreqc, KLviscold,zsum,zsums |
| 65 |
_RL rhoS(1:Nr),RS(1:Nr) |
| 66 |
_RL dzp,ec,ep,es,epss(-1:0),epsw(-1:0),dz,KTemp |
| 67 |
c _RL bF(1:Nr) |
| 68 |
c _RL theta_mcb(1:Nr),theta_mcb3(1:Nr) |
| 69 |
C === Local variables === |
| 70 |
C msgBuf :: Informational/error message buffer |
| 71 |
c CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 72 |
CEOP |
| 73 |
|
| 74 |
iMin = 2-OLx |
| 75 |
iMax = sNx+OLx-1 |
| 76 |
jMin = 2-OLy |
| 77 |
jMax = sNy+OLy-1 |
| 78 |
|
| 79 |
DO J=jMin,jMax |
| 80 |
DO I=iMin,iMax |
| 81 |
K=1 |
| 82 |
CALL FIND_RHO_SCALAR(theta(I,J,K,bi,bj), salt(I,J,K,bi,bj), |
| 83 |
& totPhiHyd(I,J,K,bi,bj),rhot,myThid ) |
| 84 |
rhoS(1)=rhot |
| 85 |
RS(1)=rC(1) |
| 86 |
|
| 87 |
KLeps(I-1,J-1,1,bi,bj)=0.0 |
| 88 |
c eps(k-1) = (dz(k-1)*eps0(k-1) +dz(k)*eps0(k))/(dz(k-1)+dz(k)) |
| 89 |
ep = 0.0 |
| 90 |
dzp = 0.0 |
| 91 |
|
| 92 |
KLviscAr(I,J,1,bi,bj) = viscArNr(1) |
| 93 |
KLviscold = KLviscAr(I,J,1,bi,bj) ! at previous cell center |
| 94 |
C get sorted densities rhoS, and the array with the depths from which |
| 95 |
C the density came from, RS. |
| 96 |
DO K=2,Nr |
| 97 |
CALL FIND_RHO_SCALAR(theta(I,J,K,bi,bj), salt(I,J,K,bi |
| 98 |
& ,bj),totPhiHyd(I,J,K,bi,bj),rhot,myThid ) |
| 99 |
rhoS(K)=rhot |
| 100 |
RS(K)=rC(K) |
| 101 |
c$$$ WRITE(msgBuf, '(A,I10.10,A,E10.4,A,E10.4)') 'Hellok ', K |
| 102 |
c$$$ & -1,' ',theta(I,J,K,bi,bj),' ',rhot |
| 103 |
c$$$ CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 104 |
c$$$ & SQUEEZE_RIGHT, myThid ) |
| 105 |
IF ( (rhoS(K).LT.rhoS(K-1)).AND.(maskC(I,J,K,bi |
| 106 |
& ,bj).GT.0)) THEN |
| 107 |
JJ=K-1 |
| 108 |
DO WHILE ( (JJ.GT.0).AND.(rhoS(K).LT.rhoS(JJ)) ) |
| 109 |
c write(*,*) K,JJ,rhoS(K),rhoS(JJ) |
| 110 |
JJ=JJ-1 |
| 111 |
ENDDO |
| 112 |
rhoS(JJ+1:K)=cshift(rhoS(JJ+1:K),-1) |
| 113 |
RS(JJ+1:K)=cshift(RS(JJ+1:K),-1) |
| 114 |
ENDIF |
| 115 |
ENDDO |
| 116 |
|
| 117 |
C RS-R is dz.... |
| 118 |
C recip_drC=inverse distanance between centers, |
| 119 |
C first is between surface and first center |
| 120 |
C diffKrNrS(K) = viscArNr(K) = background value |
| 121 |
|
| 122 |
KLdiffKr(I,J,1,bi,bj) = MAX(KLviscAr(I,J,1,bi,bj), |
| 123 |
#ifdef ALLOW_3D_DIFFKR |
| 124 |
& diffKr(I,J,1,bi,bj) ) |
| 125 |
#else |
| 126 |
& diffKrNrS(1) ) |
| 127 |
#endif |
| 128 |
C N at surface = zero or uses gradient |
| 129 |
b0 = MAX(-gravity*mass2rUnit* |
| 130 |
& (rhoS(1) - rhoS(2))*recip_drC(2),0. _d 0) |
| 131 |
c b0 = 0. |
| 132 |
DO di=-1,0 |
| 133 |
epss(di)=0.0 |
| 134 |
epsw(di)=0.0 |
| 135 |
ENDDO |
| 136 |
|
| 137 |
DO K=1,Nr |
| 138 |
IF (K.LT.Nr) THEN |
| 139 |
buoyFreqf = -gravity*mass2rUnit* |
| 140 |
& (rhoS(K) - rhoS(K+1))*recip_drC(K+1) |
| 141 |
ELSE |
| 142 |
C N zero OR not zero near bottom (at the end of array) |
| 143 |
buoyFreqf = -gravity*mass2rUnit* |
| 144 |
& (rhoS(K-1) - rhoS(K))*recip_drC(K) |
| 145 |
C buoyFreqf = 0. |
| 146 |
ENDIF |
| 147 |
buoyFreqf = MAX(buoyFreqf,0. _d 0) ! not < 0 |
| 148 |
buoyFreqc = (buoyFreqf + b0)*0.5 ! mean at cell center |
| 149 |
|
| 150 |
C viscosity at cell center at K |
| 151 |
C = 0.2*dz^2*N. 0.2 is mixing efficiency. |
| 152 |
C to derive, note K = 0.2\epsilon/N^2. Then note that |
| 153 |
C \epsilon = dz^2N^3 (Ozmidov scale) |
| 154 |
KLviscTmp = MAX( viscArNr(K), 0.2*(RS(K)-rC(K))* |
| 155 |
& (RS(K)-rC(K))*sqrt(buoyFreqc)) |
| 156 |
|
| 157 |
IF (K.GT.1) THEN |
| 158 |
Km1=K-1 |
| 159 |
|
| 160 |
C viscosity at cell face above center at K |
| 161 |
KTemp = 0.5*(KLviscTmp+KLviscold) |
| 162 |
C Put an upper limit on viscosity to prevent instability when |
| 163 |
C explicit viscosity is C used (e.g. for nonhydrostatic case) SAL |
| 164 |
KTemp = MIN(KLviscMax,KTemp) |
| 165 |
KLviscAr(I,J,K,bi,bj) = MAX(KTemp,viscArNr(K)) |
| 166 |
KLdiffKr(I,J,K,bi,bj) = MAX(KTemp, |
| 167 |
#ifdef ALLOW_3D_DIFFKR |
| 168 |
& diffKr(I,J,K,bi,bj) ) |
| 169 |
#else |
| 170 |
& diffKrNrS(K) ) |
| 171 |
#endif |
| 172 |
|
| 173 |
C Compute Epsilon for diagnostics: |
| 174 |
C |
| 175 |
C need to caclulate Im1 and Jm1 epsilon unfortunately... Here at |
| 176 |
C i-1,j-1 we average the west nu(du/dz)^2 at i-1 and i, and the south |
| 177 |
C nu(dv/dv)^2 at j-1 and j, and then add them |
| 178 |
C |
| 179 |
C dz is calculated from the face distances, with the cells assumed to be |
| 180 |
C half way. Note the use of hfacW and hfacS to make these correct near |
| 181 |
C bathy. |
| 182 |
zsum=0. |
| 183 |
ec=0.0 |
| 184 |
zsums=0. |
| 185 |
es=0. |
| 186 |
DO di=-1,0 |
| 187 |
IF (hfacW(I+di,J-1,K,bi,bj).GT.0.000001) THEN |
| 188 |
dz = 0.5*(drF(K)*hfacW(I+di,J-1,K,bi,bj) |
| 189 |
& +drF(Km1)*hfacW(I+di,J-1,Km1,bi,bj)) |
| 190 |
IF (dz.GT.0.00001) THEN |
| 191 |
tempu = (uVel(I+di,J-1,Km1,bi,bj)-uVel(I+di,J |
| 192 |
& -1,K,bi,bj))/dz |
| 193 |
epsw(di)=tempu*tempu*KLviscAr(I+di,J-1,K,bi |
| 194 |
& ,bj) |
| 195 |
ec=ec+epsw(di)*dz |
| 196 |
zsum = zsum+dz |
| 197 |
ENDIF |
| 198 |
ELSE |
| 199 |
C This face is on the seafloor. set epsilon=the |
| 200 |
C previous and dz = half the face. |
| 201 |
dz=0.5*(drF(Km1)*hfacW(I+di,J-1,Km1,bi ,bj)) |
| 202 |
ec=ec+epsw(di)*dz |
| 203 |
zsum = zsum+dz |
| 204 |
ENDIF |
| 205 |
C Now do the v-component |
| 206 |
IF (hfacS(I-1,J+di,K,bi,bj).GT.0.000001) THEN |
| 207 |
dz = 0.5*(drF(K)*hfacS(I-1,J+di,K,bi,bj) |
| 208 |
& +drF(Km1)*hfacS(I-1,J+di,Km1,bi,bj)) |
| 209 |
IF (dz.GT.0.00001) THEN |
| 210 |
tempu = (vVel(I-1,J+di,Km1,bi,bj)-vVel(I-1,J |
| 211 |
& +di,K,bi,bj))/dz |
| 212 |
epss(di)=tempu*tempu*KLviscAr(I-1,J+di,K,bi |
| 213 |
& ,bj) |
| 214 |
es = es+epss(di)*dz |
| 215 |
zsums = zsums+dz |
| 216 |
ENDIF |
| 217 |
ELSE |
| 218 |
C This face is on the seafloor. set epsilon=the |
| 219 |
C previous and dz = half the face. |
| 220 |
dz=+0.5*(drF(Km1)*hfacS(I-1,J+di,Km1 ,bi,bj)) |
| 221 |
es = es+epss(di)*dz |
| 222 |
zsums = zsums+dz |
| 223 |
ENDIF |
| 224 |
ENDDO |
| 225 |
C take the average of the du/dz terms |
| 226 |
IF (zsum.GT.0.00001) THEN |
| 227 |
ec=ec/zsum |
| 228 |
ENDIF |
| 229 |
C take the average of the dv/dz terms |
| 230 |
IF (zsums.GT.0.00001) THEN |
| 231 |
es=es/zsums |
| 232 |
ENDIF |
| 233 |
C add the u and v dissipations: |
| 234 |
ec=es+ec |
| 235 |
|
| 236 |
C Note this ec is defined on cell faces K=2..NR at the center of the |
| 237 |
C cells (i.e. at XC), so its above the density variables. |
| 238 |
C |
| 239 |
C So to get at the center of the cells, just average this one and the previous one. |
| 240 |
C And its a true average because the |
| 241 |
|
| 242 |
KLeps(I-1,J-1,Km1,bi,bj) = 0.5*(ep+ec) |
| 243 |
IF (Km1.EQ.1) THEN |
| 244 |
KLeps(I-1,J-1,Km1,bi,bj) = ec |
| 245 |
ENDIF |
| 246 |
ep=ec |
| 247 |
ENDIF |
| 248 |
c$$$ WRITE(msgBuf, '(A,I10.10,A,E10.4,A,E10.4)') 'Hellok ', K |
| 249 |
c$$$ & -1,' ',theta(I,J,K,bi,bj),' ',KLeps(I-1,J-1,Km1,bi |
| 250 |
c$$$ & ,bj) |
| 251 |
c$$$ CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 252 |
c$$$ & SQUEEZE_RIGHT, myThid ) |
| 253 |
|
| 254 |
b0 = buoyFreqf ! at previous cell face |
| 255 |
KLviscold = KLviscTmp ! at previous cell center |
| 256 |
ENDDO |
| 257 |
C ENDDO K |
| 258 |
C set on K=Nr |
| 259 |
KLeps(I-1,J-1,Nr,bi,bj) =ep |
| 260 |
|
| 261 |
ENDDO |
| 262 |
C ENDDO J |
| 263 |
ENDDO |
| 264 |
C ENDDO I |
| 265 |
|
| 266 |
#endif /* ALLOW_KL10 */ |
| 267 |
|
| 268 |
RETURN |
| 269 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph