| 1 |
torge |
1.3 |
C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_calc_viscosities.F,v 1.20 2012/11/29 09:13:08 mlosch Exp $ |
| 2 |
torge |
1.1 |
C $Name: $ |
| 3 |
|
|
|
| 4 |
|
|
#include "SEAICE_OPTIONS.h" |
| 5 |
|
|
|
| 6 |
torge |
1.3 |
CBOP |
| 7 |
torge |
1.1 |
CStartOfInterface |
| 8 |
|
|
SUBROUTINE SEAICE_CALC_VISCOSITIES( |
| 9 |
|
|
I e11, e22, e12, zMin, zMax, hEffM, press0, |
| 10 |
torge |
1.3 |
O eta, etaZ, zeta, press, |
| 11 |
torge |
1.1 |
I iStep, myTime, myIter, myThid ) |
| 12 |
|
|
C /==========================================================\ |
| 13 |
|
|
C | SUBROUTINE SEAICE_CALC_VISCOSITIES | |
| 14 |
|
|
C | o compute shear and bulk viscositites eta, zeta and the | |
| 15 |
|
|
C | corrected ice strength P | |
| 16 |
|
|
C | (see Zhang and Hibler, JGR, 102, 8691-8702, 1997) | |
| 17 |
|
|
C |==========================================================| |
| 18 |
|
|
C | written by Martin Losch, Mar 2006 | |
| 19 |
|
|
C \==========================================================/ |
| 20 |
|
|
IMPLICIT NONE |
| 21 |
|
|
|
| 22 |
|
|
C === Global variables === |
| 23 |
|
|
#include "SIZE.h" |
| 24 |
|
|
#include "EEPARAMS.h" |
| 25 |
|
|
#include "PARAMS.h" |
| 26 |
|
|
#include "GRID.h" |
| 27 |
|
|
#include "SEAICE_SIZE.h" |
| 28 |
|
|
#include "SEAICE_PARAMS.h" |
| 29 |
|
|
|
| 30 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 31 |
|
|
# include "tamc.h" |
| 32 |
|
|
#endif |
| 33 |
|
|
|
| 34 |
|
|
C === Routine arguments === |
| 35 |
|
|
C iStep :: Sub-time-step number |
| 36 |
|
|
C myTime :: Simulation time |
| 37 |
|
|
C myIter :: Simulation timestep number |
| 38 |
|
|
C myThid :: My Thread Id. number |
| 39 |
|
|
INTEGER iStep |
| 40 |
|
|
_RL myTime |
| 41 |
|
|
INTEGER myIter |
| 42 |
|
|
INTEGER myThid |
| 43 |
|
|
C strain rate tensor |
| 44 |
|
|
_RL e11 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 45 |
|
|
_RL e22 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 46 |
|
|
_RL e12 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 47 |
|
|
C |
| 48 |
|
|
_RL zMin (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 49 |
|
|
_RL zMax (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 50 |
|
|
_RL hEffM (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 51 |
|
|
C |
| 52 |
|
|
_RL press0(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 53 |
|
|
_RL press (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 54 |
|
|
C bulk viscosity |
| 55 |
|
|
_RL eta (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 56 |
torge |
1.3 |
_RL etaZ (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 57 |
torge |
1.1 |
C shear viscosity |
| 58 |
|
|
_RL zeta (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 59 |
|
|
CEndOfInterface |
| 60 |
|
|
|
| 61 |
|
|
#if ( defined (SEAICE_CGRID) && defined (SEAICE_ALLOW_DYNAMICS) ) |
| 62 |
|
|
C === Local variables === |
| 63 |
|
|
C i,j,bi,bj - Loop counters |
| 64 |
|
|
C e11, e12, e22 - components of strain rate tensor |
| 65 |
|
|
C ecm2 - inverse of square of eccentricity of yield curve |
| 66 |
|
|
INTEGER i, j, bi, bj |
| 67 |
torge |
1.3 |
_RL ECM2, deltaC, deltaCreg, tmp |
| 68 |
|
|
_RL e12Csqr(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 69 |
|
|
_RL e11Zsqr(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 70 |
|
|
_RL e22Zsqr(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 71 |
|
|
_RL e11e22Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 72 |
|
|
_RL pressZ (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 73 |
torge |
1.1 |
#ifdef SEAICE_ALLOW_TEM |
| 74 |
|
|
_RL etaMax, etaDen |
| 75 |
|
|
#endif /* SEAICE_ALLOW_TEM */ |
| 76 |
torge |
1.3 |
INTEGER k |
| 77 |
|
|
_RL zetaZ, deltaZ, deltaZreg, sumNorm, zetaZmax |
| 78 |
torge |
1.2 |
#ifdef SEAICE_ZETA_SMOOTHREG |
| 79 |
|
|
_RL argTmp |
| 80 |
|
|
#endif /* SEAICE_ZETA_SMOOTHREG */ |
| 81 |
torge |
1.3 |
CEOP |
| 82 |
torge |
1.1 |
|
| 83 |
|
|
C-- FIRST SET UP BASIC CONSTANTS |
| 84 |
torge |
1.3 |
k=1 |
| 85 |
torge |
1.1 |
ecm2=0. _d 0 |
| 86 |
|
|
IF ( SEAICE_eccen .NE. 0. _d 0 ) ecm2=ONE/(SEAICE_eccen**2) |
| 87 |
|
|
C |
| 88 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 89 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 90 |
|
|
C need to do this beforehand for easier vectorization after |
| 91 |
|
|
C TAFization |
| 92 |
torge |
1.3 |
IF ( SEAICEetaZmethod .LT. 2 ) THEN |
| 93 |
|
|
DO j=1-Oly+1,sNy+Oly-1 |
| 94 |
|
|
DO i=1-Olx+1,sNx+Olx-1 |
| 95 |
|
|
tmp = 0.25 * |
| 96 |
|
|
& ( e12(I,J ,bi,bj) + e12(I+1,J ,bi,bj) |
| 97 |
|
|
& + e12(I,J+1,bi,bj) + e12(I+1,J+1,bi,bj) ) |
| 98 |
|
|
e12Csqr(i,j) = tmp*tmp |
| 99 |
|
|
ENDDO |
| 100 |
|
|
ENDDO |
| 101 |
|
|
ELSEIF ( SEAICEetaZmethod .EQ. 2 ) THEN |
| 102 |
|
|
DO j=1-Oly+1,sNy+Oly-1 |
| 103 |
|
|
DO i=1-Olx+1,sNx+Olx-1 |
| 104 |
|
|
e12Csqr(i,j) = 0.25 * |
| 105 |
|
|
& ( e12(I,J ,bi,bj)**2 + e12(I+1,J ,bi,bj)**2 |
| 106 |
|
|
& + e12(I,J+1,bi,bj)**2 + e12(I+1,J+1,bi,bj)**2 ) |
| 107 |
|
|
ENDDO |
| 108 |
torge |
1.1 |
ENDDO |
| 109 |
torge |
1.3 |
ENDIF |
| 110 |
torge |
1.1 |
DO j=1-Oly+1,sNy+Oly-1 |
| 111 |
|
|
DO i=1-Olx+1,sNx+Olx-1 |
| 112 |
|
|
deltaC = (e11(i,j,bi,bj)**2+e22(i,j,bi,bj)**2)*(ONE+ecm2) |
| 113 |
torge |
1.3 |
& + 4. _d 0*ecm2*e12Csqr(i,j) |
| 114 |
torge |
1.1 |
& + 2. _d 0*e11(i,j,bi,bj)*e22(i,j,bi,bj)*(ONE-ecm2) |
| 115 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 116 |
|
|
C avoid sqrt of 0 |
| 117 |
|
|
IF ( deltaC .GT. 0. _d 0 ) deltaC = SQRT(deltaC) |
| 118 |
|
|
#else |
| 119 |
|
|
deltaC = SQRT(deltaC) |
| 120 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 121 |
|
|
deltaCreg = MAX(deltaC,SEAICE_EPS) |
| 122 |
|
|
C "replacement pressure" |
| 123 |
|
|
zeta (I,J,bi,bj) = HALF*press0(I,J,bi,bj)/deltaCreg |
| 124 |
|
|
C put min and max viscosities in |
| 125 |
|
|
#ifdef SEAICE_ZETA_SMOOTHREG |
| 126 |
|
|
C regularize zeta to zmax with a smooth tanh-function instead |
| 127 |
|
|
C of a min(zeta,zmax). This improves convergence of iterative |
| 128 |
|
|
C solvers (Lemieux and Tremblay 2009, JGR). No effect on EVP |
| 129 |
torge |
1.3 |
argTmp = exp(-1. _d 0/(deltaCreg*SEAICE_zetaMaxFac)) |
| 130 |
|
|
zeta (I,J,bi,bj) = ZMAX(I,J,bi,bj) |
| 131 |
torge |
1.2 |
& *(1. _d 0 - argTmp)/(1. _d 0 + argTmp) |
| 132 |
torge |
1.1 |
#else |
| 133 |
|
|
zeta (I,J,bi,bj) = MIN(ZMAX(I,J,bi,bj),zeta(I,J,bi,bj)) |
| 134 |
|
|
#endif /* SEAICE_ZETA_SMOOTHREG */ |
| 135 |
torge |
1.2 |
zeta (I,J,bi,bj) = MAX(ZMIN(I,J,bi,bj),zeta(I,J,bi,bj)) |
| 136 |
torge |
1.1 |
C set viscosities to zero at hEffM flow pts |
| 137 |
|
|
zeta (I,J,bi,bj) = zeta(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
| 138 |
|
|
eta (I,J,bi,bj) = ECM2*zeta(I,J,bi,bj) |
| 139 |
|
|
press(I,J,bi,bj) = TWO *zeta(I,J,bi,bj)*deltaC |
| 140 |
|
|
ENDDO |
| 141 |
|
|
ENDDO |
| 142 |
|
|
#ifdef SEAICE_ALLOW_TEM |
| 143 |
|
|
IF ( SEAICEuseTEM ) THEN |
| 144 |
|
|
DO j=1-Oly+1,sNy+Oly-1 |
| 145 |
|
|
DO i=1-Olx+1,sNx+Olx-1 |
| 146 |
|
|
etaDen = (e11(I,J,bi,bj)-e22(I,J,bi,bj))**2 |
| 147 |
torge |
1.3 |
& + 4. _d 0*e12Csqr(i,j) |
| 148 |
torge |
1.1 |
etaDen = SQRT(MAX(SEAICE_EPS_SQ,etaDen)) |
| 149 |
|
|
etaMax = ( 0.5 _d 0*press(I,J,bi,bj)-zeta(I,J,bi,bj) |
| 150 |
|
|
& *( e11(I,J,bi,bj)+e22(I,J,bi,bj) ) |
| 151 |
|
|
& )/etaDen |
| 152 |
|
|
eta(I,J,bi,bj) = MIN(eta(I,J,bi,bj),etaMax) |
| 153 |
|
|
ENDDO |
| 154 |
|
|
ENDDO |
| 155 |
|
|
ENDIF |
| 156 |
|
|
#endif /* SEAICE_ALLOW_TEM */ |
| 157 |
torge |
1.3 |
C compute eta at Z-points |
| 158 |
|
|
IF ( SEAICEetaZmethod .eq. 0 ) THEN |
| 159 |
|
|
C This is the old and stupid way |
| 160 |
|
|
DO j=1-Oly+1,sNy+Oly-1 |
| 161 |
|
|
DO i=1-Olx+1,sNx+Olx-1 |
| 162 |
|
|
etaZ(I,J,bi,bj) = |
| 163 |
|
|
& ( eta (I,J ,bi,bj) + eta (I-1,J ,bi,bj) |
| 164 |
|
|
& + eta (I,J-1,bi,bj) + eta (I-1,J-1,bi,bj) ) |
| 165 |
|
|
& / MAX(1.D0,maskC(I,J, k,bi,bj)+maskC(I-1,J, k,bi,bj) |
| 166 |
|
|
& + maskC(I,J-1,k,bi,bj)+maskC(I-1,J-1,k,bi,bj) ) |
| 167 |
|
|
ENDDO |
| 168 |
|
|
ENDDO |
| 169 |
|
|
ELSE |
| 170 |
|
|
IF ( SEAICEetaZmethod .eq. 1 ) THEN |
| 171 |
|
|
DO j=1-Oly+1,sNy+Oly-1 |
| 172 |
|
|
DO i=1-Olx+1,sNx+Olx-1 |
| 173 |
|
|
sumNorm = maskC(I,J, k,bi,bj)+maskC(I-1,J, k,bi,bj) |
| 174 |
|
|
& + maskC(I,J-1,k,bi,bj)+maskC(I-1,J-1,k,bi,bj) |
| 175 |
|
|
IF ( sumNorm.GT.0. _d 0 ) sumNorm = 1. _d 0 / sumNorm |
| 176 |
|
|
pressZ(i,j) = sumNorm * |
| 177 |
|
|
& ( press0(i,j, bi,bj) + press0(i-1,j, bi,bj) |
| 178 |
|
|
& + press0(i,j-1,bi,bj) + press0(i-1,j-1,bi,bj) ) |
| 179 |
|
|
e11Zsqr(i,j) = ( sumNorm * |
| 180 |
|
|
& ( e11(i,j, bi,bj) + e11(i-1,j, bi,bj) |
| 181 |
|
|
& + e11(i,j-1,bi,bj) + e11(i-1,j-1,bi,bj) ) )**2 |
| 182 |
|
|
e22Zsqr(i,j) = ( sumNorm * |
| 183 |
|
|
& ( e22(i,j, bi,bj) + e22(i-1,j, bi,bj) |
| 184 |
|
|
& + e22(i,j-1,bi,bj) + e22(i-1,j-1,bi,bj) ) )**2 |
| 185 |
|
|
e11e22Z(i,j) = sumNorm * sumNorm * |
| 186 |
|
|
& ( e11(i, j, bi,bj) + e11(i-1,j, bi,bj) |
| 187 |
|
|
& + e11(i, j-1,bi,bj) + e11(i-1,j-1,bi,bj) ) * |
| 188 |
|
|
& ( e22(i, j, bi,bj) + e22(i-1,j, bi,bj) |
| 189 |
|
|
& + e22(i ,j-1,bi,bj) + e22(i-1,j-1,bi,bj) ) |
| 190 |
|
|
ENDDO |
| 191 |
|
|
ENDDO |
| 192 |
|
|
ELSEIF ( SEAICEetaZmethod .eq. 2 ) THEN |
| 193 |
|
|
DO j=1-Oly+1,sNy+Oly-1 |
| 194 |
|
|
DO i=1-Olx+1,sNx+Olx-1 |
| 195 |
|
|
sumNorm = maskC(I,J, k,bi,bj)+maskC(I-1,J, k,bi,bj) |
| 196 |
|
|
& + maskC(I,J-1,k,bi,bj)+maskC(I-1,J-1,k,bi,bj) |
| 197 |
|
|
IF ( sumNorm.GT.0. _d 0 ) sumNorm = 1. _d 0 / sumNorm |
| 198 |
|
|
pressZ(i,j) = sumNorm * |
| 199 |
|
|
& ( press0(i,j, bi,bj) + press0(i-1,j, bi,bj) |
| 200 |
|
|
& + press0(i,j-1,bi,bj) + press0(i-1,j-1,bi,bj) ) |
| 201 |
|
|
e11Zsqr(i,j) = sumNorm * |
| 202 |
|
|
& ( e11(i,j, bi,bj)**2 + e11(i-1,j, bi,bj)**2 |
| 203 |
|
|
& + e11(i,j-1,bi,bj)**2 + e11(i-1,j-1,bi,bj)**2 ) |
| 204 |
|
|
e22Zsqr(i,j) = sumNorm * |
| 205 |
|
|
& ( e22(i,j, bi,bj)**2 + e22(i-1,j, bi,bj)**2 |
| 206 |
|
|
& + e22(i,j-1,bi,bj)**2 + e22(i-1,j-1,bi,bj)**2 ) |
| 207 |
|
|
e11e22Z(i,j) = sumNorm * |
| 208 |
|
|
& ( e11(i, j, bi,bj)*e22(i, j, bi,bj) |
| 209 |
|
|
& + e11(i-1,j, bi,bj)*e22(i-1,j, bi,bj) |
| 210 |
|
|
& + e11(i, j-1,bi,bj)*e22(i ,j-1,bi,bj) |
| 211 |
|
|
& + e11(i-1,j-1,bi,bj)*e22(i-1,j-1,bi,bj) ) |
| 212 |
|
|
ENDDO |
| 213 |
|
|
ENDDO |
| 214 |
|
|
ENDIF |
| 215 |
|
|
DO j=1-Oly+1,sNy+Oly-1 |
| 216 |
|
|
DO i=1-Olx+1,sNx+Olx-1 |
| 217 |
|
|
deltaZ = (e11Zsqr(i,j)+e22Zsqr(i,j))*(ONE+ecm2) |
| 218 |
|
|
& + 4. _d 0*ecm2*e12(i,j,bi,bj)**2 |
| 219 |
|
|
& + 2. _d 0*e11e22Z(i,j)*(ONE-ecm2) |
| 220 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 221 |
|
|
C avoid sqrt of 0 |
| 222 |
|
|
IF ( deltaZ .GT. 0. _d 0 ) deltaZ = SQRT(deltaZ) |
| 223 |
|
|
#else |
| 224 |
|
|
deltaZ = SQRT(deltaZ) |
| 225 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 226 |
|
|
deltaZreg = MAX(deltaZ,SEAICE_EPS) |
| 227 |
|
|
C "replacement pressure" |
| 228 |
|
|
zetaZ = HALF*pressZ(i,j)/deltaZreg |
| 229 |
|
|
C put min and max viscosities in |
| 230 |
|
|
zetaZmax = SEAICE_zetaMaxFac*pressZ(i,j) |
| 231 |
|
|
#ifdef SEAICE_ZETA_SMOOTHREG |
| 232 |
|
|
C regularize zeta to zmax with a smooth tanh-function instead |
| 233 |
|
|
C of a min(zeta,zmax). This improves convergence of iterative |
| 234 |
|
|
C solvers (Lemieux and Tremblay 2009, JGR). No effect on EVP |
| 235 |
|
|
argTmp = exp(-1. _d 0/(deltaZreg*SEAICE_zetaMaxFac)) |
| 236 |
|
|
zetaZ = zetaZmax*(1. _d 0-argTmp)/(1. _d 0+argTmp) |
| 237 |
|
|
#else |
| 238 |
|
|
zetaZ = MIN(zetaZmax,zetaZ) |
| 239 |
|
|
#endif /* SEAICE_ZETA_SMOOTHREG */ |
| 240 |
|
|
zetaZ = MAX(ZMIN(I,J,bi,bj),zetaZ) |
| 241 |
|
|
etaZ(I,J,bi,bj) = ECM2*zetaZ |
| 242 |
|
|
ENDDO |
| 243 |
|
|
ENDDO |
| 244 |
|
|
#ifdef SEAICE_ALLOW_TEM |
| 245 |
|
|
IF ( SEAICEuseTEM ) THEN |
| 246 |
|
|
STOP 'OOPS' |
| 247 |
|
|
CML DO j=1-Oly+1,sNy+Oly-1 |
| 248 |
|
|
CML DO i=1-Olx+1,sNx+Olx-1 |
| 249 |
|
|
CML etaDen = (e11Zsqr(i,j)+e22Zsqr(i,j)-2.*e11e22Z(i,j)) |
| 250 |
|
|
CML & + 4. _d 0*e12(I,J,bi,bj)**2 |
| 251 |
|
|
CML etaDen = SQRT(MAX(SEAICE_EPS_SQ,etaDen)) |
| 252 |
|
|
CML etaMax = ( 0.5 _d 0*press(I,J,bi,bj)-zeta(I,J,bi,bj) |
| 253 |
|
|
CML & *( e11(I,J,bi,bj)+e22(I,J,bi,bj) ) |
| 254 |
|
|
CML & )/etaDen |
| 255 |
|
|
CML etaZ(I,J,bi,bj) = MIN(etaZ(I,J,bi,bj),etaMax) |
| 256 |
|
|
CML ENDDO |
| 257 |
|
|
CML ENDDO |
| 258 |
|
|
ENDIF |
| 259 |
|
|
#endif /* SEAICE_ALLOW_TEM */ |
| 260 |
|
|
C SEAICEetaZmethod |
| 261 |
|
|
ENDIF |
| 262 |
|
|
C free-slip means no lateral stress, which is best achieved masking |
| 263 |
|
|
C eta on vorticity(=Z)-points; from now on we only need to worry |
| 264 |
|
|
C about the no-slip boundary conditions |
| 265 |
|
|
IF (.NOT.SEAICE_no_slip) THEN |
| 266 |
|
|
DO J=1,sNy+1 |
| 267 |
|
|
DO I=1,sNx+1 |
| 268 |
|
|
etaZ(I,J,bi,bj) = etaZ(I,J,bi,bj) |
| 269 |
|
|
& *maskC(I,J, k,bi,bj)*maskC(I-1,J, k,bi,bj) |
| 270 |
|
|
& *maskC(I,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj) |
| 271 |
|
|
ENDDO |
| 272 |
|
|
ENDDO |
| 273 |
|
|
ENDIF |
| 274 |
torge |
1.1 |
ENDDO |
| 275 |
|
|
ENDDO |
| 276 |
|
|
|
| 277 |
|
|
#endif /* SEAICE_ALLOW_DYNAMICS and SEAICE_CGRID */ |
| 278 |
|
|
RETURN |
| 279 |
|
|
END |
Parent Directory
| 
Revision Log
| 
Revision Graph