| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/seaice/dynsolver.F,v 1.44 2014/10/20 03:20:57 gforget Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "SEAICE_OPTIONS.h" |
| 5 |
#ifdef ALLOW_AUTODIFF |
| 6 |
# include "AUTODIFF_OPTIONS.h" |
| 7 |
#endif |
| 8 |
|
| 9 |
CStartOfInterface |
| 10 |
SUBROUTINE DYNSOLVER( myTime, myIter, myThid ) |
| 11 |
C *==========================================================* |
| 12 |
C | SUBROUTINE DYNSOLVER | |
| 13 |
C | o Ice dynamics using LSR solver | |
| 14 |
C | Zhang and Hibler, JGR, 102, 8691-8702, 1997 | |
| 15 |
C *==========================================================* |
| 16 |
C *==========================================================* |
| 17 |
IMPLICIT NONE |
| 18 |
|
| 19 |
C === Global variables === |
| 20 |
#include "SIZE.h" |
| 21 |
#include "EEPARAMS.h" |
| 22 |
#include "PARAMS.h" |
| 23 |
#include "GRID.h" |
| 24 |
#include "DYNVARS.h" |
| 25 |
#include "FFIELDS.h" |
| 26 |
#include "SEAICE_SIZE.h" |
| 27 |
#include "SEAICE_PARAMS.h" |
| 28 |
#include "SEAICE.h" |
| 29 |
#ifdef ALLOW_EXF |
| 30 |
# include "EXF_OPTIONS.h" |
| 31 |
# include "EXF_FIELDS.h" |
| 32 |
#endif |
| 33 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 34 |
# include "tamc.h" |
| 35 |
#endif |
| 36 |
|
| 37 |
C === Routine arguments === |
| 38 |
C myTime - Simulation time |
| 39 |
C myIter - Simulation timestep number |
| 40 |
C myThid - Thread no. that called this routine. |
| 41 |
_RL myTime |
| 42 |
INTEGER myIter |
| 43 |
INTEGER myThid |
| 44 |
CEndOfInterface |
| 45 |
|
| 46 |
#ifndef SEAICE_CGRID |
| 47 |
|
| 48 |
#ifdef EXPLICIT_SSH_SLOPE |
| 49 |
#include "SURFACE.h" |
| 50 |
_RL phiSurf(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 51 |
#endif |
| 52 |
|
| 53 |
C === Local variables === |
| 54 |
C i,j,bi,bj - Loop counters |
| 55 |
|
| 56 |
INTEGER i, j, bi, bj |
| 57 |
_RL RHOICE, RHOAIR |
| 58 |
_RL COSWIN |
| 59 |
_RS SINWIN |
| 60 |
_RL ECCEN, ECM2, PSTAR, AAA |
| 61 |
_RL U1, V1 |
| 62 |
|
| 63 |
_RL COR_ICE (1-OLx:sNx+OLx,1-OLy:sNy+OLy, nSx,nSy) |
| 64 |
|
| 65 |
C-- FIRST SET UP BASIC CONSTANTS |
| 66 |
RHOICE=SEAICE_rhoIce |
| 67 |
RHOAIR=SEAICE_rhoAir |
| 68 |
ECCEN=SEAICE_eccen |
| 69 |
ECM2=ONE/(ECCEN**2) |
| 70 |
PSTAR=SEAICE_strength |
| 71 |
|
| 72 |
C-- introduce turning angle (default is zero) |
| 73 |
SINWIN=SIN(SEAICE_airTurnAngle*deg2rad) |
| 74 |
COSWIN=COS(SEAICE_airTurnAngle*deg2rad) |
| 75 |
|
| 76 |
C-- Compute proxy for geostrophic velocity, |
| 77 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 78 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 79 |
DO j=0,sNy+1 |
| 80 |
DO i=0,sNx+1 |
| 81 |
GWATX(I,J,bi,bj)=HALF*(uVel(i,j,KGEO(I,J,bi,bj),bi,bj) |
| 82 |
& +uVel(i,j-1,KGEO(I,J,bi,bj),bi,bj)) |
| 83 |
GWATY(I,J,bi,bj)=HALF*(vVel(i,j,KGEO(I,J,bi,bj),bi,bj) |
| 84 |
& +vVel(i-1,j,KGEO(I,J,bi,bj),bi,bj)) |
| 85 |
#ifdef SEAICE_DEBUG |
| 86 |
c write(*,'(2i4,2i2,f7.1,7f12.3)') |
| 87 |
c & ,i,j,bi,bj,UVM(I,J,bi,bj) |
| 88 |
c & ,GWATX(I,J,bi,bj),GWATY(I,J,bi,bj) |
| 89 |
c & ,uVel(i+1,j,3,bi,bj),uVel(i+1,j+1,3,bi,bj) |
| 90 |
c & ,vVel(i,j+1,3,bi,bj),vVel(i+1,j+1,3,bi,bj) |
| 91 |
#endif |
| 92 |
ENDDO |
| 93 |
ENDDO |
| 94 |
ENDDO |
| 95 |
ENDDO |
| 96 |
|
| 97 |
C-- NOW SET UP MASS PER UNIT AREA AND CORIOLIS TERM |
| 98 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 99 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 100 |
DO j=1-OLy,sNy+OLy |
| 101 |
DO i=1-OLx,sNx+OLx |
| 102 |
COR_ICE(i,j,bi,bj) = 0. |
| 103 |
ENDDO |
| 104 |
ENDDO |
| 105 |
DO j=1,sNy |
| 106 |
DO i=1,sNx |
| 107 |
AMASS(I,J,bi,bj)=RHOICE*QUART*( |
| 108 |
& HEFF(i,j ,bi,bj) + HEFF(i-1,j ,bi,bj) |
| 109 |
& +HEFF(i,j-1,bi,bj) + HEFF(i-1,j-1,bi,bj) ) |
| 110 |
COR_ICE(I,J,bi,bj)=AMASS(I,J,bi,bj) * _fCoriG(I,J,bi,bj) |
| 111 |
ENDDO |
| 112 |
ENDDO |
| 113 |
ENDDO |
| 114 |
ENDDO |
| 115 |
|
| 116 |
C-- NOW SET UP FORCING FIELDS |
| 117 |
|
| 118 |
C-- Wind stress is computed on South-West B-grid U/V |
| 119 |
C locations from wind on tracer locations |
| 120 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 121 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 122 |
DO j=1,sNy |
| 123 |
DO i=1,sNx |
| 124 |
U1=QUART*(UWIND(I-1,J-1,bi,bj)+UWIND(I-1,J,bi,bj) |
| 125 |
& +UWIND(I ,J-1,bi,bj)+UWIND(I ,J,bi,bj)) |
| 126 |
V1=QUART*(VWIND(I-1,J-1,bi,bj)+VWIND(I-1,J,bi,bj) |
| 127 |
& +VWIND(I ,J-1,bi,bj)+VWIND(I ,J,bi,bj)) |
| 128 |
AAA=U1**2+V1**2 |
| 129 |
IF ( AAA .LE. SEAICE_EPS_SQ ) THEN |
| 130 |
AAA=SEAICE_EPS |
| 131 |
ELSE |
| 132 |
AAA=SQRT(AAA) |
| 133 |
ENDIF |
| 134 |
C first ocean surface stress |
| 135 |
DAIRN(I,J,bi,bj)=RHOAIR*OCEAN_drag |
| 136 |
& *(2.70 _d 0+0.142 _d 0*AAA+0.0764 _d 0*AAA*AAA) |
| 137 |
WINDX(I,J,bi,bj)=DAIRN(I,J,bi,bj)* |
| 138 |
& (COSWIN*U1-SIGN(SINWIN, _fCori(I,J,bi,bj))*V1) |
| 139 |
WINDY(I,J,bi,bj)=DAIRN(I,J,bi,bj)* |
| 140 |
& (SIGN(SINWIN, _fCori(I,J,bi,bj))*U1+COSWIN*V1) |
| 141 |
|
| 142 |
C now ice surface stress |
| 143 |
IF ( YC(I,J,bi,bj) .LT. ZERO ) THEN |
| 144 |
DAIRN(I,J,bi,bj) = |
| 145 |
& RHOAIR*(SEAICE_drag_south*AAA*AREA(I,J,bi,bj) |
| 146 |
& +OCEAN_drag*(2.70 _d 0+0.142 _d 0*AAA |
| 147 |
& +0.0764 _d 0*AAA*AAA)*(ONE-AREA(I,J,bi,bj))) |
| 148 |
ELSE |
| 149 |
DAIRN(I,J,bi,bj) = |
| 150 |
& RHOAIR*(SEAICE_drag*AAA*AREA(I,J,bi,bj) |
| 151 |
& +OCEAN_drag*(2.70 _d 0+0.142 _d 0*AAA |
| 152 |
& +0.0764 _d 0*AAA*AAA)*(ONE-AREA(I,J,bi,bj))) |
| 153 |
ENDIF |
| 154 |
FORCEX(I,J,bi,bj)=DAIRN(I,J,bi,bj)* |
| 155 |
& (COSWIN*U1-SIGN(SINWIN, _fCori(I,J,bi,bj))*V1) |
| 156 |
FORCEY(I,J,bi,bj)=DAIRN(I,J,bi,bj)* |
| 157 |
& (SIGN(SINWIN, _fCori(I,J,bi,bj))*U1+COSWIN*V1) |
| 158 |
ENDDO |
| 159 |
ENDDO |
| 160 |
ENDDO |
| 161 |
ENDDO |
| 162 |
|
| 163 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 164 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 165 |
#ifdef EXPLICIT_SSH_SLOPE |
| 166 |
C-- Compute surface pressure at z==0: |
| 167 |
C- use actual sea surface height for tilt computations |
| 168 |
DO j=1-OLy,sNy+OLy |
| 169 |
DO i=1-OLx,sNx+OLx |
| 170 |
phiSurf(i,j) = Bo_surf(i,j,bi,bj)*etaN(i,j,bi,bj) |
| 171 |
ENDDO |
| 172 |
ENDDO |
| 173 |
#ifdef ATMOSPHERIC_LOADING |
| 174 |
C- add atmospheric loading and Sea-Ice loading |
| 175 |
IF ( useRealFreshWaterFlux ) THEN |
| 176 |
DO j=1-OLy,sNy+OLy |
| 177 |
DO i=1-OLx,sNx+OLx |
| 178 |
phiSurf(i,j) = phiSurf(i,j) |
| 179 |
& + ( pload(i,j,bi,bj) |
| 180 |
& +sIceLoad(i,j,bi,bj)*gravity |
| 181 |
& )*recip_rhoConst |
| 182 |
ENDDO |
| 183 |
ENDDO |
| 184 |
ELSE |
| 185 |
DO j=1-OLy,sNy+OLy |
| 186 |
DO i=1-OLx,sNx+OLx |
| 187 |
phiSurf(i,j) = phiSurf(i,j) |
| 188 |
& + pload(i,j,bi,bj)*recip_rhoConst |
| 189 |
ENDDO |
| 190 |
ENDDO |
| 191 |
ENDIF |
| 192 |
#endif /* ATMOSPHERIC_LOADING */ |
| 193 |
DO j=1-OLy+1,sNy+OLy |
| 194 |
DO i=1-OLx+1,sNx+OLx |
| 195 |
C-- NOW ADD IN TILT |
| 196 |
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
| 197 |
& -AMASS(I,J,bi,bj) |
| 198 |
& *( (phiSurf(i, j )-phiSurf(i-1, j ))*maskW(i, j ,1,bi,bj) |
| 199 |
& +(phiSurf(i,j-1)-phiSurf(i-1,j-1))*maskW(i,j-1,1,bi,bj) |
| 200 |
& )*HALF*_recip_dxV(I,J,bi,bj) |
| 201 |
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
| 202 |
& -AMASS(I,J,bi,bj) |
| 203 |
& *( (phiSurf( i ,j)-phiSurf( i ,j-1))*maskS( i ,j,1,bi,bj) |
| 204 |
& +(phiSurf(i-1,j)-phiSurf(i-1,j-1))*maskS(i-1,j,1,bi,bj) |
| 205 |
& )*HALF*_recip_dyU(I,J,bi,bj) |
| 206 |
C NOW KEEP FORCEX0 |
| 207 |
FORCEX0(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
| 208 |
FORCEY0(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
| 209 |
ENDDO |
| 210 |
ENDDO |
| 211 |
#endif /* EXPLICIT_SSH_SLOPE */ |
| 212 |
DO j=1-OLy,sNy+OLy |
| 213 |
DO i=1-OLx,sNx+OLx |
| 214 |
#ifndef EXPLICIT_SSH_SLOPE |
| 215 |
C-- NOW ADD IN TILT |
| 216 |
FORCEX(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
| 217 |
& -COR_ICE(I,J,bi,bj)*GWATY(I,J,bi,bj) |
| 218 |
FORCEY(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
| 219 |
& +COR_ICE(I,J,bi,bj)*GWATX(I,J,bi,bj) |
| 220 |
C NOW KEEP FORCEX0 |
| 221 |
FORCEX0(I,J,bi,bj)=FORCEX(I,J,bi,bj) |
| 222 |
FORCEY0(I,J,bi,bj)=FORCEY(I,J,bi,bj) |
| 223 |
#endif /* EXPLICIT_SSH_SLOPE */ |
| 224 |
C-- NOW SET UP ICE PRESSURE AND VISCOSITIES |
| 225 |
PRESS0(I,J,bi,bj)=PSTAR*HEFF(I,J,bi,bj) |
| 226 |
& *EXP(-SEAICE_cStar*(ONE-AREA(i,j,bi,bj))) |
| 227 |
CML ZMAX(I,J,bi,bj)=(5.0 _d +12/(2.0 _d +04))*PRESS0(I,J,bi,bj) |
| 228 |
ZMAX(I,J,bi,bj)=SEAICE_zetaMaxFac*PRESS0(I,J,bi,bj) |
| 229 |
CML ZMIN(I,J,bi,bj)=4.0 _d +08 |
| 230 |
ZMIN(I,J,bi,bj)=SEAICE_zetaMin |
| 231 |
PRESS0(I,J,bi,bj)=PRESS0(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
| 232 |
ENDDO |
| 233 |
ENDDO |
| 234 |
ENDDO |
| 235 |
ENDDO |
| 236 |
|
| 237 |
#ifdef SEAICE_ALLOW_DYNAMICS |
| 238 |
|
| 239 |
IF ( SEAICEuseDYNAMICS ) THEN |
| 240 |
|
| 241 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 242 |
CADJ STORE uice = comlev1, key=ikey_dynamics |
| 243 |
CADJ STORE vice = comlev1, key=ikey_dynamics |
| 244 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 245 |
|
| 246 |
crg what about ETA,ZETA |
| 247 |
|
| 248 |
crg later c$taf loop = iteration uice,vice |
| 249 |
|
| 250 |
cdm c$taf store uice,vice = comlev1_seaice_ds, |
| 251 |
cdm c$taf& key = kii + (ikey_dynamics-1) |
| 252 |
C NOW DO PREDICTOR TIME STEP |
| 253 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 254 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 255 |
DO j=1-OLy,sNy+OLy |
| 256 |
DO i=1-OLx,sNx+OLx |
| 257 |
UICENM1(I,J,bi,bj)=UICE(I,J,bi,bj) |
| 258 |
VICENM1(I,J,bi,bj)=VICE(I,J,bi,bj) |
| 259 |
UICEC(I,J,bi,bj)=UICE(I,J,bi,bj) |
| 260 |
VICEC(I,J,bi,bj)=VICE(I,J,bi,bj) |
| 261 |
ENDDO |
| 262 |
ENDDO |
| 263 |
ENDDO |
| 264 |
ENDDO |
| 265 |
|
| 266 |
C NOW LSR SCHEME (ZHANG-J/HIBLER 1997) |
| 267 |
CADJ STORE uice = comlev1, key=ikey_dynamics |
| 268 |
CADJ STORE vice = comlev1, key=ikey_dynamics |
| 269 |
CALL LSR( 1, myThid ) |
| 270 |
CADJ STORE uice = comlev1, key=ikey_dynamics |
| 271 |
CADJ STORE vice = comlev1, key=ikey_dynamics |
| 272 |
|
| 273 |
C NOW DO MODIFIED EULER STEP |
| 274 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 275 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 276 |
DO j=1-OLy,sNy+OLy |
| 277 |
DO i=1-OLx,sNx+OLx |
| 278 |
UICE(I,J,bi,bj)=HALF*(UICE(I,J,bi,bj)+UICENM1(I,J,bi,bj)) |
| 279 |
VICE(I,J,bi,bj)=HALF*(VICE(I,J,bi,bj)+VICENM1(I,J,bi,bj)) |
| 280 |
UICEC(I,J,bi,bj)=UICE(I,J,bi,bj) |
| 281 |
VICEC(I,J,bi,bj)=VICE(I,J,bi,bj) |
| 282 |
ENDDO |
| 283 |
ENDDO |
| 284 |
ENDDO |
| 285 |
ENDDO |
| 286 |
|
| 287 |
C NOW LSR SCHEME (ZHANG-J/HIBLER 1997) |
| 288 |
CALL LSR( 2, myThid ) |
| 289 |
|
| 290 |
cdm c$taf store uice,vice = comlev1, key=ikey_dynamics |
| 291 |
|
| 292 |
ENDIF |
| 293 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
| 294 |
|
| 295 |
#ifdef ALLOW_DIAGNOSTICS |
| 296 |
IF ( useDiagnostics ) THEN |
| 297 |
CALL DIAGNOSTICS_FILL(zeta ,'SIzeta ',0,1 ,0,1,1,myThid) |
| 298 |
CALL DIAGNOSTICS_FILL(eta ,'SIeta ',0,1 ,0,1,1,myThid) |
| 299 |
CALL DIAGNOSTICS_FILL(press ,'SIpress ',0,1 ,0,1,1,myThid) |
| 300 |
ENDIF |
| 301 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 302 |
|
| 303 |
C Calculate ocean surface stress |
| 304 |
CALL OSTRES ( COR_ICE, myThid ) |
| 305 |
|
| 306 |
#ifdef SEAICE_ALLOW_DYNAMICS |
| 307 |
#ifdef SEAICE_ALLOW_CLIPVELS |
| 308 |
IF ( SEAICEuseDYNAMICS .AND. SEAICE_clipVelocities) THEN |
| 309 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 310 |
CADJ STORE uice = comlev1, key=ikey_dynamics |
| 311 |
CADJ STORE vice = comlev1, key=ikey_dynamics |
| 312 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 313 |
c Put a cap on ice velocity |
| 314 |
c limit velocity to 0.40 m s-1 to avoid potential CFL violations |
| 315 |
c in open water areas (drift of zero thickness ice) |
| 316 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 317 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 318 |
DO j=1-OLy,sNy+OLy |
| 319 |
DO i=1-OLx,sNx+OLx |
| 320 |
#ifdef SEAICE_DEBUG |
| 321 |
c write(*,'(2i4,2i2,f7.1,7f12.3)') |
| 322 |
c & i,j,bi,bj,UVM(I,J,bi,bj),amass(i,j,bi,bj) |
| 323 |
c & ,gwatx(I,J,bi,bj),gwaty(i,j,bi,bj) |
| 324 |
c & ,forcex(I,J,bi,bj),forcey(i,j,bi,bj) |
| 325 |
c & ,uice(i,j,bi,bj) |
| 326 |
c & ,vice(i,j,bi,bj) |
| 327 |
#endif /* SEAICE_DEBUG */ |
| 328 |
UICE(i,j,bi,bj)=min(UICE(i,j,bi,bj),0.40 _d +00) |
| 329 |
VICE(i,j,bi,bj)=min(VICE(i,j,bi,bj),0.40 _d +00) |
| 330 |
ENDDO |
| 331 |
ENDDO |
| 332 |
ENDDO |
| 333 |
ENDDO |
| 334 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 335 |
CADJ STORE uice = comlev1, key=ikey_dynamics |
| 336 |
CADJ STORE vice = comlev1, key=ikey_dynamics |
| 337 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 338 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 339 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 340 |
DO j=1-OLy,sNy+OLy |
| 341 |
DO i=1-OLx,sNx+OLx |
| 342 |
UICE(i,j,bi,bj)=max(UICE(i,j,bi,bj),-0.40 _d +00) |
| 343 |
VICE(i,j,bi,bj)=max(VICE(i,j,bi,bj),-0.40 _d +00) |
| 344 |
ENDDO |
| 345 |
ENDDO |
| 346 |
ENDDO |
| 347 |
ENDDO |
| 348 |
|
| 349 |
ENDIF |
| 350 |
#endif /* SEAICE_ALLOW_CLIPVELS */ |
| 351 |
#endif /* SEAICE_ALLOW_DYNAMICS */ |
| 352 |
#endif /* NOT SEAICE_CGRID */ |
| 353 |
|
| 354 |
RETURN |
| 355 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph