| 1 |
C SEAICE GROWTH REBORN v02 2015/01/15 |
| 2 |
|
| 3 |
#include "SEAICE_OPTIONS.h" |
| 4 |
#ifdef ALLOW_EXF |
| 5 |
# include "EXF_OPTIONS.h" |
| 6 |
#endif |
| 7 |
#ifdef ALLOW_SALT_PLUME |
| 8 |
# include "SALT_PLUME_OPTIONS.h" |
| 9 |
#endif |
| 10 |
#ifdef ALLOW_AUTODIFF |
| 11 |
# include "AUTODIFF_OPTIONS.h" |
| 12 |
#endif |
| 13 |
|
| 14 |
CBOP |
| 15 |
C !ROUTINE: SEAICE_GROWTH |
| 16 |
C !INTERFACE: |
| 17 |
SUBROUTINE SEAICE_GROWTH( myTime, myIter, myThid ) |
| 18 |
C !DESCRIPTION: \bv |
| 19 |
C *==========================================================* |
| 20 |
C | SUBROUTINE seaice_growth |
| 21 |
C | o rebirth of seaice_growth_if |
| 22 |
C *==========================================================* |
| 23 |
C \ev |
| 24 |
|
| 25 |
C !USES: |
| 26 |
IMPLICIT NONE |
| 27 |
C === Global variables === |
| 28 |
#include "SIZE.h" |
| 29 |
#include "EEPARAMS.h" |
| 30 |
#include "PARAMS.h" |
| 31 |
#include "DYNVARS.h" |
| 32 |
#include "GRID.h" |
| 33 |
#include "FFIELDS.h" |
| 34 |
#include "SEAICE_SIZE.h" |
| 35 |
#include "SEAICE_PARAMS.h" |
| 36 |
#include "SEAICE.h" |
| 37 |
#include "SEAICE_TRACER.h" |
| 38 |
#ifdef ALLOW_EXF |
| 39 |
# include "EXF_PARAM.h" |
| 40 |
# include "EXF_FIELDS.h" |
| 41 |
#endif |
| 42 |
#ifdef ALLOW_SALT_PLUME |
| 43 |
# include "SALT_PLUME.h" |
| 44 |
#endif |
| 45 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 46 |
# include "tamc.h" |
| 47 |
#endif |
| 48 |
|
| 49 |
C !INPUT/OUTPUT PARAMETERS: |
| 50 |
C === Routine arguments === |
| 51 |
C myTime :: Simulation time |
| 52 |
C myIter :: Simulation timestep number |
| 53 |
C myThid :: Thread no. that called this routine. |
| 54 |
_RL myTime |
| 55 |
INTEGER myIter, myThid |
| 56 |
CEOP |
| 57 |
|
| 58 |
#if (defined ALLOW_EXF) && (defined ALLOW_ATM_TEMP) |
| 59 |
C !FUNCTIONS: |
| 60 |
#ifdef ALLOW_DIAGNOSTICS |
| 61 |
LOGICAL DIAGNOSTICS_IS_ON |
| 62 |
EXTERNAL DIAGNOSTICS_IS_ON |
| 63 |
#endif |
| 64 |
|
| 65 |
C !LOCAL VARIABLES: |
| 66 |
C === Local variables === |
| 67 |
C |
| 68 |
C unit/sign convention: |
| 69 |
|
| 70 |
|
| 71 |
C HEFF is effective Hice thickness (m3/m2) |
| 72 |
C HSNOW is Heffective snow thickness (m3/m2) |
| 73 |
C HSALT is Heffective salt content (g/m2) |
| 74 |
C AREA is the seaice cover fraction (0<=AREA<=1) |
| 75 |
|
| 76 |
|
| 77 |
|
| 78 |
C i,j,bi,bj :: Loop counters |
| 79 |
INTEGER i, j, bi, bj |
| 80 |
C number of surface interface layer |
| 81 |
INTEGER kSurface |
| 82 |
C IT :: ice thickness category index (MULTICATEGORIES and ITD code) |
| 83 |
INTEGER IT |
| 84 |
C msgBuf :: Informational/error message buffer |
| 85 |
#ifdef ALLOW_BALANCE_FLUXES |
| 86 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 87 |
#elif (defined (SEAICE_DEBUG)) |
| 88 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 89 |
CHARACTER*12 msgBufForm |
| 90 |
#endif |
| 91 |
C constants |
| 92 |
_RL tempFrz, ICE2SNOW, SNOW2ICE, surf_theta |
| 93 |
_RL QI, QS, recip_QI |
| 94 |
_RL RHOSW |
| 95 |
_RL lhSublim |
| 96 |
|
| 97 |
C conversion factors to go from Q (W/m2) to HEFF (ice meters) |
| 98 |
_RL convertQ2HI, convertHI2Q |
| 99 |
C conversion factors to go from precip (m/s) unit to HEFF (ice meters) |
| 100 |
_RL convertPRECIP2HI, convertHI2PRECIP |
| 101 |
|
| 102 |
|
| 103 |
|
| 104 |
C wind speed square |
| 105 |
_RL SPEED_SQ |
| 106 |
|
| 107 |
C Regularization values squared |
| 108 |
_RL area_reg_sq, hice_reg_sq |
| 109 |
|
| 110 |
C pathological cases thresholds |
| 111 |
_RL heffTooHeavy |
| 112 |
|
| 113 |
C Helper variables: reciprocal of some constants |
| 114 |
_RL recip_multDim |
| 115 |
_RL recip_deltaTtherm |
| 116 |
_RL recip_rhoIce |
| 117 |
|
| 118 |
C local value (=1/HO or 1/HO_south) |
| 119 |
_RL recip_HO |
| 120 |
|
| 121 |
C local value (=1/ice thickness) |
| 122 |
_RL recip_HH |
| 123 |
|
| 124 |
#ifndef SEAICE_ITD |
| 125 |
C facilitate multi-category snow implementation |
| 126 |
_RL pFac, pFacSnow |
| 127 |
#endif |
| 128 |
|
| 129 |
C temporary variables available for the various computations |
| 130 |
_RL tmpscal0, tmpscal1, tmpscal2, tmpscal3, tmpscal4 |
| 131 |
|
| 132 |
#ifdef ALLOW_SITRACER |
| 133 |
INTEGER iTr |
| 134 |
#ifdef ALLOW_DIAGNOSTICS |
| 135 |
CHARACTER*8 diagName |
| 136 |
#endif |
| 137 |
|
| 138 |
|
| 139 |
#endif /* ALLOW_SITRACER */ |
| 140 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 141 |
INTEGER ilockey |
| 142 |
#endif |
| 143 |
|
| 144 |
C== local arrays == |
| 145 |
C-- TmixLoc :: ocean surface/mixed-layer temperature (in K) |
| 146 |
_RL TmixLoc (1:sNx,1:sNy) |
| 147 |
|
| 148 |
#ifndef SEAICE_ITD |
| 149 |
C actual ice thickness (with upper and lower limit) |
| 150 |
_RL hiceActual (1:sNx,1:sNy) |
| 151 |
C actual snow thickness |
| 152 |
_RL hsnowActual (1:sNx,1:sNy) |
| 153 |
#endif |
| 154 |
C actual ice thickness (with lower limit only) Reciprocal |
| 155 |
_RL recip_hiceActual (1:sNx,1:sNy) |
| 156 |
|
| 157 |
C AREA_PRE :: hold sea-ice fraction field before any seaice-thermo update |
| 158 |
_RL AREApreTH (1:sNx,1:sNy) |
| 159 |
_RL HEFFpreTH (1:sNx,1:sNy) |
| 160 |
_RL HSNWpreTH (1:sNx,1:sNy) |
| 161 |
|
| 162 |
|
| 163 |
C wind speed |
| 164 |
_RL UG (1:sNx,1:sNy) |
| 165 |
|
| 166 |
C temporary variables available for the various computations |
| 167 |
_RL tmparr1 (1:sNx,1:sNy) |
| 168 |
|
| 169 |
_RL ticeInMult (1:sNx,1:sNy,nITD) |
| 170 |
_RL ticeOutMult (1:sNx,1:sNy,nITD) |
| 171 |
_RL hiceActualMult (1:sNx,1:sNy,nITD) |
| 172 |
_RL hsnowActualMult (1:sNx,1:sNy,nITD) |
| 173 |
|
| 174 |
_RL F_io_net_mult (1:sNx,1:sNy,nITD) |
| 175 |
_RL F_ia_net_mult (1:sNx,1:sNy,nITD) |
| 176 |
_RL F_ia_mult (1:sNx,1:sNy,nITD) |
| 177 |
_RL QSWI_mult (1:sNx,1:sNy,nITD) |
| 178 |
_RL FWsublim_mult (1:sNx,1:sNy,nITD) |
| 179 |
|
| 180 |
#ifdef ALLOW_DIAGNOSTICS |
| 181 |
C Helper variables for diagnostics |
| 182 |
_RL DIAGarrayA (1:sNx,1:sNy) |
| 183 |
_RL DIAGarrayB (1:sNx,1:sNy) |
| 184 |
_RL DIAGarrayC (1:sNx,1:sNy) |
| 185 |
_RL DIAGarrayD (1:sNx,1:sNy) |
| 186 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 187 |
|
| 188 |
|
| 189 |
_RL QSWO_BELOW_FIRST_LAYER (1:sNx,1:sNy) |
| 190 |
_RL QSWO_IN_FIRST_LAYER (1:sNx,1:sNy) |
| 191 |
_RL QSWO (1:sNx,1:sNy) |
| 192 |
_RL QSWI (1:sNx,1:sNy) |
| 193 |
|
| 194 |
C Sea ice growth rates (m/s) |
| 195 |
_RL ActualNewTotalVolumeChange (1:sNx,1:sNy) |
| 196 |
_RL ActualNewTotalSnowMelt (1:sNx,1:sNy) |
| 197 |
|
| 198 |
_RL NetExistingIceGrowthRate (1:sNx,1:sNy) |
| 199 |
_RL IceGrowthRateUnderExistingIce (1:sNx,1:sNy) |
| 200 |
_RL IceGrowthRateFromSurface (1:sNx,1:sNy) |
| 201 |
_RL IceGrowthRateOpenWater (1:sNx,1:sNy) |
| 202 |
_RL IceGrowthRateMixedLayer (1:sNx,1:sNy) |
| 203 |
|
| 204 |
_RL EnergyInNewTotalIceVolume (1:sNx,1:sNy) |
| 205 |
_RL NetEnergyFluxOutOfOcean (1:sNx,1:sNy) |
| 206 |
c |
| 207 |
C The energy taken out of the ocean which is not converted |
| 208 |
C to sea ice (Joules) |
| 209 |
_RL ResidualEnergyOutOfOcean (1:sNx,1:sNy) |
| 210 |
|
| 211 |
C Snow accumulation rate over ice (m/s) |
| 212 |
_RL SnowAccRateOverIce (1:sNx,1:sNy) |
| 213 |
|
| 214 |
C Total snow accumulation over ice (m) |
| 215 |
_RL SnowAccOverIce (1:sNx,1:sNy) |
| 216 |
|
| 217 |
C The precipitation rate over the ice which goes immediately into the ocean |
| 218 |
_RL PrecipRateOverIceSurfaceToSea (1:sNx,1:sNy) |
| 219 |
|
| 220 |
C The potential snow melt rate if all snow surface heat flux convergences |
| 221 |
C goes to melting snow (m/s) |
| 222 |
_RL PotSnowMeltRateFromSurf (1:sNx,1:sNy) |
| 223 |
|
| 224 |
C The potential thickness of snow which could be melted by snow surface |
| 225 |
C heat flux convergence (m) |
| 226 |
_RL PotSnowMeltFromSurf (1:sNx,1:sNy) |
| 227 |
|
| 228 |
C The actual snow melt rate due to snow surface heat flux convergence |
| 229 |
_RL SnowMeltRateFromSurface (1:sNx,1:sNy) |
| 230 |
|
| 231 |
C The actual surface heat flux convergence used to melt snow (W/m^2) |
| 232 |
_RL SurfHeatFluxConvergToSnowMelt (1:sNx,1:sNy) |
| 233 |
|
| 234 |
C The actual thickness of snow to be melted by snow surface |
| 235 |
C heat flux convergence (m) |
| 236 |
_RL SnowMeltFromSurface (1:sNx,1:sNy) |
| 237 |
|
| 238 |
C The freshwater contribution to the ocean from melting snow (m) |
| 239 |
_RL FreshwaterContribFromSnowMelt (1:sNx,1:sNy) |
| 240 |
|
| 241 |
C The freshwater contribution to (from) the ocean from melting (growing) ice (m) |
| 242 |
_RL FreshwaterContribFromIce (1:sNx,1:sNy) |
| 243 |
|
| 244 |
C S_a : d(AREA)/dt |
| 245 |
_RL S_a (1:sNx,1:sNy) |
| 246 |
|
| 247 |
C S_h : d(HEFF)/dt |
| 248 |
_RL S_h (1:sNx,1:sNy) |
| 249 |
|
| 250 |
C S_hsnow : d(HSNOW)/dt |
| 251 |
_RL S_hsnow (1:sNx,1:sNy) |
| 252 |
|
| 253 |
|
| 254 |
C F_ia - sea ice/snow surface heat flux with atmosphere (W/m^2) |
| 255 |
C F_ia > 0, heat loss to atmosphere |
| 256 |
C F_ia < 0, atmospheric heat flux convergence (ice/snow surface melt) |
| 257 |
_RL F_ia (1:sNx,1:sNy) |
| 258 |
|
| 259 |
C F_ia_net - the net heat flux divergence at the sea ice/snow surface |
| 260 |
C including sea ice conductive fluxes and atmospheric fluxes (W/m^2) |
| 261 |
C F_ia_net = 0, sea ice/snow surface energy balance condition met |
| 262 |
C upward conductive fluxes balance surface heat loss |
| 263 |
C F_ia_net < 0, net heat flux convergence at ice/snow surface |
| 264 |
C zero conductive fluxes and net atmospheric convergence |
| 265 |
_RL F_ia_net (1:sNx,1:sNy) |
| 266 |
|
| 267 |
C F_ia_net - the net heat flux divergence at the sea ice/snow surface |
| 268 |
C before snow is melted with any convergence (W/m^2) |
| 269 |
C F_ia_net < 0, some snow, if present, will melt |
| 270 |
_RL F_ia_net_before_snow (1:sNx,1:sNy) |
| 271 |
|
| 272 |
C F_io_net - the net upward conductive heat flux through the ice+snow system |
| 273 |
C realized at the sea ice/snow surface |
| 274 |
C F_io_net > 0, heat conducting upward from ice base --> basal thickening |
| 275 |
C F_io_net = 0, no upward heat conduction |
| 276 |
C ice/snow surface temperature > SEAICE_freeze) |
| 277 |
_RL F_io_net (1:sNx,1:sNy) |
| 278 |
|
| 279 |
C F_ao - heat flux from atmosphere to ocean (W/m^2) |
| 280 |
C F_ao > 0 |
| 281 |
_RL F_ao (1:sNx,1:sNy) |
| 282 |
|
| 283 |
C F_mi - heat flux from ocean to the ice (W/m^2) |
| 284 |
_RL F_mi (1:sNx,1:sNy) |
| 285 |
|
| 286 |
_RL FWsublim (1:sNx,1:sNy) |
| 287 |
|
| 288 |
C S_a_from_IGROW : d(AREA)/dt [from ice growth rate from open water fluxes] |
| 289 |
_RL S_a_IGROW (1:sNx,1:sNy) |
| 290 |
|
| 291 |
C S_a_from_IGROW : d(AREA)/dt [from ice growth rate from ocean-ice fluxes] |
| 292 |
_RL S_a_IGRML (1:sNx,1:sNy) |
| 293 |
|
| 294 |
C S_a_from_IGROW : d(AREA)/dt [from ice growth rate from ice-atm fluxes] |
| 295 |
_RL S_a_IGRNE (1:sNx,1:sNy) |
| 296 |
|
| 297 |
C Factor by which we increase the upper ocean friction velocity (u*) when |
| 298 |
|
| 299 |
C ice is absent in a grid cell (dimensionless) |
| 300 |
_RL MLTF (1:sNx,1:sNy) |
| 301 |
|
| 302 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 303 |
|
| 304 |
C =================================================================== |
| 305 |
C =================PART 0: constants and initializations============= |
| 306 |
C =================================================================== |
| 307 |
|
| 308 |
IF ( buoyancyRelation .EQ. 'OCEANICP' ) THEN |
| 309 |
kSurface = Nr |
| 310 |
ELSE |
| 311 |
kSurface = 1 |
| 312 |
ENDIF |
| 313 |
|
| 314 |
C avoid unnecessary divisions in loops |
| 315 |
recip_multDim = SEAICE_multDim |
| 316 |
recip_multDim = ONE / recip_multDim |
| 317 |
C above/below: double/single precision calculation of recip_multDim |
| 318 |
c recip_multDim = 1./float(SEAICE_multDim) |
| 319 |
recip_deltaTtherm = ONE / SEAICE_deltaTtherm |
| 320 |
recip_rhoIce = ONE / SEAICE_rhoIce |
| 321 |
|
| 322 |
C Cutoff for iceload |
| 323 |
heffTooHeavy=drF(kSurface) / 5. _d 0 |
| 324 |
|
| 325 |
C RATIO OF SEA ICE DENSITY to SNOW DENSITY |
| 326 |
ICE2SNOW = SEAICE_rhoIce/SEAICE_rhoSnow |
| 327 |
SNOW2ICE = ONE / ICE2SNOW |
| 328 |
|
| 329 |
C Heat Flux * QI = [W] [m^3/kg] [kg/J] = [m^3/s] or [m/s] per unit area |
| 330 |
QI = ONE/(SEAICE_rhoIce*SEAICE_lhFusion) |
| 331 |
C Heat Flux * QS = [W] [m^3/kg] [kg/J] = [m^3/s] or [m/s] per unit area |
| 332 |
QS = ONE/(SEAICE_rhoSnow*SEAICE_lhFusion) |
| 333 |
|
| 334 |
c A reference seawater density (kg m^-3) |
| 335 |
RHOSW = 1026. _d 0 |
| 336 |
C ICE LATENT HEAT CONSTANT |
| 337 |
lhSublim = SEAICE_lhEvap + SEAICE_lhFusion |
| 338 |
|
| 339 |
C regularization constants |
| 340 |
area_reg_sq = SEAICE_area_reg * SEAICE_area_reg |
| 341 |
hice_reg_sq = SEAICE_hice_reg * SEAICE_hice_reg |
| 342 |
|
| 343 |
|
| 344 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 345 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 346 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 347 |
|
| 348 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 349 |
act1 = bi - myBxLo(myThid) |
| 350 |
max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
| 351 |
act2 = bj - myByLo(myThid) |
| 352 |
max2 = myByHi(myThid) - myByLo(myThid) + 1 |
| 353 |
act3 = myThid - 1 |
| 354 |
max3 = nTx*nTy |
| 355 |
act4 = ikey_dynamics - 1 |
| 356 |
iicekey = (act1 + 1) + act2*max1 |
| 357 |
& + act3*max1*max2 |
| 358 |
& + act4*max1*max2*max3 |
| 359 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 360 |
|
| 361 |
cph-test( |
| 362 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 363 |
CADJ STORE area = comlev1_bibj, key = iicekey, byte = isbyte |
| 364 |
CADJ STORE heff = comlev1_bibj, key = iicekey, byte = isbyte |
| 365 |
CADJ STORE hsnow = comlev1_bibj, key = iicekey, byte = isbyte |
| 366 |
CADJ STORE qnet = comlev1_bibj, key = iicekey, byte = isbyte |
| 367 |
CADJ STORE qsw = comlev1_bibj, key = iicekey, byte = isbyte |
| 368 |
CADJ STORE tices = comlev1_bibj, key = iicekey, byte = isbyte |
| 369 |
#endif |
| 370 |
cph-test) |
| 371 |
|
| 372 |
C array initializations |
| 373 |
C ===================== |
| 374 |
|
| 375 |
DO J=1,sNy |
| 376 |
DO I=1,sNx |
| 377 |
|
| 378 |
C NEW VARIABLE NAMES |
| 379 |
NetExistingIceGrowthRate(I,J) = 0.0 _d 0 |
| 380 |
IceGrowthRateOpenWater(I,J) = 0.0 _d 0 |
| 381 |
IceGrowthRateFromSurface(I,J) = 0.0 _d 0 |
| 382 |
IceGrowthRateMixedLayer(I,J) = 0.0 _d 0 |
| 383 |
|
| 384 |
EnergyInNewTotalIceVolume(I,J) = 0.0 _d 0 |
| 385 |
NetEnergyFluxOutOfOcean(I,J) = 0.0 _d 0 |
| 386 |
ResidualEnergyOutOfOcean(I,J) = 0.0 _d 0 |
| 387 |
|
| 388 |
PrecipRateOverIceSurfaceToSea(I,J) = 0.0 _d 0 |
| 389 |
|
| 390 |
DO IT=1,SEAICE_multDim |
| 391 |
ticeInMult(I,J,IT) = 0.0 _d 0 |
| 392 |
ticeOutMult(I,J,IT) = 0.0 _d 0 |
| 393 |
|
| 394 |
F_io_net_mult(I,J,IT) = 0.0 _d 0 |
| 395 |
F_ia_net_mult(I,J,IT) = 0.0 _d 0 |
| 396 |
F_ia_mult(I,J,IT) = 0.0 _d 0 |
| 397 |
|
| 398 |
QSWI_mult(I,J,IT) = 0.0 _d 0 |
| 399 |
FWsublim_mult(I,J,IT) = 0.0 _d 0 |
| 400 |
ENDDO |
| 401 |
|
| 402 |
F_io_net(I,J) = 0.0 _d 0 |
| 403 |
F_ia_net(I,J) = 0.0 _d 0 |
| 404 |
F_ia(I,J) = 0.0 _d 0 |
| 405 |
|
| 406 |
QSWI(I,J) = 0.0 _d 0 |
| 407 |
FWsublim(I,J) = 0.0 _d 0 |
| 408 |
|
| 409 |
QSWO_BELOW_FIRST_LAYER (I,J) = 0.0 _d 0 |
| 410 |
QSWO_IN_FIRST_LAYER (I,J) = 0.0 _d 0 |
| 411 |
QSWO(I,J) = 0.0 _d 0 |
| 412 |
|
| 413 |
ActualNewTotalVolumeChange(I,J) = 0.0 _d 0 |
| 414 |
ActualNewTotalSnowMelt(I,J) = 0.0 _d 0 |
| 415 |
|
| 416 |
SnowAccOverIce(I,J) = 0.0 _d 0 |
| 417 |
SnowAccRateOverIce(I,J) = 0.0 _d 0 |
| 418 |
|
| 419 |
PotSnowMeltRateFromSurf(I,J) = 0.0 _d 0 |
| 420 |
PotSnowMeltFromSurf(I,J) = 0.0 _d 0 |
| 421 |
SnowMeltRateFromSurface(I,J) = 0.0 _d 0 |
| 422 |
SurfHeatFluxConvergToSnowMelt(I,J) = 0.0 _d 0 |
| 423 |
SnowMeltFromSurface(I,J) = 0.0 _d 0 |
| 424 |
|
| 425 |
FreshwaterContribFromSnowMelt(I,J) = 0.0 _d 0 |
| 426 |
FreshwaterContribFromIce(I,J) = 0.0 _d 0 |
| 427 |
|
| 428 |
S_a(I,J) = 0.0 _d 0 |
| 429 |
S_a_IGROW(I,J) = 0.0 _d 0 |
| 430 |
S_a_IGRML(I,J) = 0.0 _d 0 |
| 431 |
S_a_IGRNE(I,J) = 0.0 _d 0 |
| 432 |
|
| 433 |
S_h(I,J) = 0.0 _d 0 |
| 434 |
S_hsnow(I,J) = 0.0 _d 0 |
| 435 |
|
| 436 |
MLTF(I,J) = 0.0 _d 0 |
| 437 |
ENDDO |
| 438 |
ENDDO |
| 439 |
|
| 440 |
#if (defined (ALLOW_MEAN_SFLUX_COST_CONTRIBUTION) || defined (ALLOW_SSH_GLOBMEAN_COST_CONTRIBUTION)) |
| 441 |
DO J=1-oLy,sNy+oLy |
| 442 |
DO I=1-oLx,sNx+oLx |
| 443 |
frWtrAtm(I,J,bi,bj) = 0.0 _d 0 |
| 444 |
ENDDO |
| 445 |
ENDDO |
| 446 |
#endif |
| 447 |
|
| 448 |
C ===================================================================== |
| 449 |
C PART 1: Store ice and snow state on onset + regularize actual |
| 450 |
C ice area and ice thickness |
| 451 |
C ===================================================================== |
| 452 |
|
| 453 |
DO J=1,sNy |
| 454 |
DO I=1,sNx |
| 455 |
|
| 456 |
HEFF(I,J,bi,bj) = MAX(ZERO, HEFF(I,J,bi,bj)) |
| 457 |
AREA(I,J,bi,bj) = MAX(ZERO, AREA(I,J,bi,bj)) |
| 458 |
|
| 459 |
c Cap the area if it exceedes area_max (may also have been |
| 460 |
c done in do_ridging) |
| 461 |
AREA(I,J,bi,bj) = MIN(AREA(I,J,bi,bj), SEAICE_area_max) |
| 462 |
|
| 463 |
IF (HEFF(I,J,bi,bj) .LE. ZERO) then |
| 464 |
AREA(I,J, bi,bj) = ZERO |
| 465 |
HSNOW(I,J, bi,bj) = ZERO |
| 466 |
ELSEIF (AREA(I,J,bi,bj) .LE. ZERO) then |
| 467 |
HEFF(I,J,bi,bj) = ZERO |
| 468 |
HSNOW(I,J,bi,bj) = ZERO |
| 469 |
ENDIF |
| 470 |
|
| 471 |
HEFFpreTH(I,J) = HEFF(I,J,bi,bj) |
| 472 |
c HSNWpreTH(I,J) = HSNOW(I,J,bi,bj) |
| 473 |
AREApreTH(I,J) = AREA(I,J,bi,bj) |
| 474 |
|
| 475 |
#ifdef ALLOW_DIAGNOSTICS |
| 476 |
DIAGarrayB(I,J) = AREA(I,J,bi,bj) |
| 477 |
DIAGarrayC(I,J) = HEFF(I,J,bi,bj) |
| 478 |
DIAGarrayD(I,J) = HSNOW(I,J,bi,bj) |
| 479 |
#endif |
| 480 |
ENDDO |
| 481 |
ENDDO |
| 482 |
|
| 483 |
#ifdef ALLOW_DIAGNOSTICS |
| 484 |
IF ( useDiagnostics ) THEN |
| 485 |
CALL DIAGNOSTICS_FILL(DIAGarrayB,'SIareaGA',0,1,3,bi,bj,myThid) |
| 486 |
CALL DIAGNOSTICS_FILL(DIAGarrayC,'SIheffGA',0,1,3,bi,bj,myThid) |
| 487 |
CALL DIAGNOSTICS_FILL(DIAGarrayD,'SIhsnoGA',0,1,3,bi,bj,myThid) |
| 488 |
ENDIF |
| 489 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 490 |
|
| 491 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 492 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 493 |
CADJ STORE AREApreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 494 |
CADJ STORE HEFFpreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 495 |
CADJ STORE HSNWpreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 496 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 497 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 498 |
|
| 499 |
C COMPUTE ACTUAL ICE/SNOW THICKNESS; USE MIN/MAX VALUES |
| 500 |
C TO REGULARIZE SEAICE_SOLVE4TEMP/d_AREA COMPUTATIONS |
| 501 |
|
| 502 |
DO J=1,sNy |
| 503 |
DO I=1,sNx |
| 504 |
IF (HEFFpreTH(I,J) .GT. ZERO) THEN |
| 505 |
c regularize AREA with SEAICE_area_reg |
| 506 |
tmpscal1 = SQRT(AREApreTH(I,J)* AREApreTH(I,J) + area_reg_sq) |
| 507 |
|
| 508 |
c hiceActual calculated with the regularized AREA |
| 509 |
tmpscal2 = HEFFpreTH(I,J) / tmpscal1 |
| 510 |
|
| 511 |
c regularize hiceActual with SEAICE_hice_reg (add lower bound) |
| 512 |
c hiceActual(I,J) = SQRT(tmpscal2 * tmpscal2 + hice_reg_sq) |
| 513 |
hiceActual(I,J) = MAX(0.05 _d 0, tmpscal2) |
| 514 |
|
| 515 |
c hsnowActual calculated with the regularized AREA (no lower bound) |
| 516 |
c hsnowActual(I,J) = HSNWpreTH(I,J) / tmpscal1 |
| 517 |
c actually I do not think we need to regularize this. |
| 518 |
c hsnowActual(I,J) = HSNWpreTH(I,J) / AREApreTH(I,J) |
| 519 |
|
| 520 |
c regularize the inverse of hiceActual by hice_reg |
| 521 |
recip_hiceActual(I,J) = AREApreTH(I,J) / |
| 522 |
& sqrt(HEFFpreTH(I,J)*HEFFpreTH(I,J) + hice_reg_sq) |
| 523 |
|
| 524 |
c Do not regularize when HEFFpreTH = 0 |
| 525 |
ELSE |
| 526 |
hiceActual (I,J) = ZERO |
| 527 |
hsnowActual(I,J) = ZERO |
| 528 |
recip_hiceActual(I,J) = ZERO |
| 529 |
ENDIF |
| 530 |
|
| 531 |
ENDDO |
| 532 |
ENDDO |
| 533 |
|
| 534 |
|
| 535 |
C ============================================================================= |
| 536 |
C Part 2: Precipitation as snow or rain over ice |
| 537 |
C ============================================================================= |
| 538 |
|
| 539 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 540 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 541 |
CADJ STORE SnowAccRateOverIce = comlev1_bibj,key=iicekey,byte=isbyte |
| 542 |
CADJ STORE SnowAccOverIce = comlev1_bibj,key=iicekey,byte=isbyte |
| 543 |
CADJ STORE PrecipRateOverIceSurfaceToSea = |
| 544 |
CADJ & comlev1_bibj, key = iicekey, byte = isbyte |
| 545 |
CADJ STORE PRECIP(:,:,bi,bj) = comlev1_bibj,key=iicekey,byte=isbyte |
| 546 |
CADJ STORE AREApreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 547 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 548 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 549 |
|
| 550 |
DO J=1,sNy |
| 551 |
DO I=1,sNx |
| 552 |
c if we have ice and the temperature of the ice is below the freezing point |
| 553 |
c then the precip falls and accumulates as snow |
| 554 |
#ifndef FROZEN |
| 555 |
IF (( AREApreTH(I,J) .GT. ZERO) .AND. |
| 556 |
& ( TICES(I,J,1,bi,bj) .LT. celsius2k) ) THEN |
| 557 |
#else |
| 558 |
IF ( AREApreTH(I,J) .GT. ZERO) THEN |
| 559 |
#endif |
| 560 |
|
| 561 |
c use either prescribed snowfall or PRECIP rate |
| 562 |
IF ( snowPrecipFile .NE. ' ' ) THEN |
| 563 |
c rate of actual snow accumulation in m/s over ice |
| 564 |
c y [m/s] \approx 1.0 [kg/m^3] / 0.9 [m^3/kg] * x [m/s] |
| 565 |
SnowAccRateOverIce(I,J) = rhoConstFresh/SEAICE_rhoSnow * |
| 566 |
& snowPrecip(i,j,bi,bj) |
| 567 |
ELSE |
| 568 |
SnowAccRateOverIce(I,J) = rhoConstFresh/SEAICE_rhoSnow * |
| 569 |
& PRECIP(i,j,bi,bj) |
| 570 |
ENDIF |
| 571 |
PrecipRateOverIceSurfaceToSea(I,J) = ZERO |
| 572 |
|
| 573 |
ELSE |
| 574 |
c The snow/ice surface is not frozen (wet) so the precipitation |
| 575 |
c remains wet and runs into the ocean |
| 576 |
SnowAccRateOverIce(I,J) = ZERO |
| 577 |
PrecipRateOverIceSurfaceToSea(I,J) = PRECIP(i,j,bi,bj) |
| 578 |
ENDIF |
| 579 |
|
| 580 |
c SnowAccOverIce is the change of mean snow thickness, i.e. HSNOW |
| 581 |
c over one time step. |
| 582 |
SnowAccOverIce(I,J) = |
| 583 |
& SnowAccRateOverIce(I,J) * SEAICE_deltaTtherm * AREApreTH(I,J) |
| 584 |
c I,J |
| 585 |
ENDDO |
| 586 |
ENDDO |
| 587 |
|
| 588 |
c acumulate snow on the surface |
| 589 |
c before we do any surface energy balance calculations |
| 590 |
DO J=1,sNy |
| 591 |
DO I=1,sNx |
| 592 |
IF ( AREApreTH(I,J) .GT. ZERO) THEN |
| 593 |
|
| 594 |
c update mean and actual snow thickness. |
| 595 |
c to this point there are no any thermodynamic calculations, |
| 596 |
c only potentially accumulated snow based on precip and the |
| 597 |
c ice surface temp from the previous time step |
| 598 |
|
| 599 |
HSNOW(I,J,bi,bj) = HSNOW(I,J,bi,bj) + SnowAccOverIce(I,J) |
| 600 |
HSNWpreTH(I,J) = HSNOW(I,J,bi,bj) |
| 601 |
hsnowActual(I,J) = HSNWpreTH(I,J) / AREApreTH(I,J) |
| 602 |
ENDIF |
| 603 |
ENDDO |
| 604 |
ENDDO |
| 605 |
|
| 606 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 607 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 608 |
CADJ STORE HSNWpreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 609 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 610 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 611 |
|
| 612 |
C ============================================================================= |
| 613 |
C FIND WIND SPEED |
| 614 |
C ============================================================================= |
| 615 |
|
| 616 |
DO j=1,sNy |
| 617 |
DO i=1,sNx |
| 618 |
C ocean surface/mixed layer temperature |
| 619 |
TmixLoc(i,j) = theta(i,j,kSurface,bi,bj) + celsius2K |
| 620 |
C wind speed from exf |
| 621 |
UG(I,J) = MAX(SEAICE_EPS, wspeed(I,J,bi,bj)) |
| 622 |
ENDDO |
| 623 |
ENDDO |
| 624 |
|
| 625 |
|
| 626 |
C ============================================================================= |
| 627 |
c Retrieve the air-sea heat and shortwave radiative fluxes |
| 628 |
C ============================================================================= |
| 629 |
|
| 630 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 631 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 632 |
CADJ STORE qnet(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
| 633 |
CADJ STORE qsw(:,:,bi,bj) = comlev1_bibj, key = iicekey,byte=isbyte |
| 634 |
cCADJ STORE UG = comlev1_bibj, key = iicekey,byte=isbyte |
| 635 |
cCADJ STORE TmixLoc = comlev1_bibj, key = iicekey,byte=isbyte |
| 636 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 637 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 638 |
|
| 639 |
CALL SEAICE_BUDGET_OCEAN( |
| 640 |
I UG, |
| 641 |
I TmixLoc, |
| 642 |
O F_ao, QSWO, |
| 643 |
I bi, bj, myTime, myIter, myThid ) |
| 644 |
|
| 645 |
|
| 646 |
C ============================================================================= |
| 647 |
C Calc air-sea fluxes in the uppermost grid cell |
| 648 |
C ============================================================================= |
| 649 |
|
| 650 |
c-- Not all of the sw radiation is absorbed in the uppermost ocean grid cell layer. |
| 651 |
c Only that fraction which converges in the uppermost ocean grid cell is used to |
| 652 |
c melt ice. |
| 653 |
c SWFRACB - the fraction of incoming sw radiation absorbed in the |
| 654 |
c uppermost ocean grid cell (calculated in seaice_init_vari.F) |
| 655 |
DO J=1,sNy |
| 656 |
DO I=1,sNx |
| 657 |
|
| 658 |
c The contribution of shortwave heating is |
| 659 |
c not included without #define SHORTWAVE_HEATING |
| 660 |
#ifdef SHORTWAVE_HEATING |
| 661 |
QSWO_BELOW_FIRST_LAYER(I,J)= QSWO(I,J)*SWFRACB |
| 662 |
QSWO_IN_FIRST_LAYER(I,J) = QSWO(I,J)*(ONE - SWFRACB) |
| 663 |
#else |
| 664 |
QSWO_BELOW_FIRST_LAYER(I,J)= ZERO |
| 665 |
QSWO_IN_FIRST_LAYER(I,J) = ZERO |
| 666 |
#endif |
| 667 |
IceGrowthRateOpenWater(I,J) = QI * |
| 668 |
& (F_ao(I,J) - QSWO(I,J) + QSWO_IN_FIRST_LAYER(I,J)) |
| 669 |
|
| 670 |
ENDDO |
| 671 |
ENDDO |
| 672 |
|
| 673 |
|
| 674 |
|
| 675 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 676 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 677 |
CADJ STORE hsnowActual = comlev1_bibj, key = iicekey, byte = isbyte |
| 678 |
CADJ STORE hiceActual = comlev1_bibj, key = iicekey, byte = isbyte |
| 679 |
CADJ STORE UG = comlev1_bibj, key = iicekey, byte = isbyte |
| 680 |
CADJ STORE tices(:,:,:,bi,bj) |
| 681 |
CADJ & = comlev1_bibj, key = iicekey, byte = isbyte |
| 682 |
CADJ STORE salt(:,:,kSurface,bi,bj) = comlev1_bibj, |
| 683 |
CADJ & key = iicekey, byte = isbyte |
| 684 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 685 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 686 |
|
| 687 |
C ============================================================================= |
| 688 |
c calculate heat fluxes within ice (conduction), F_io, and across the |
| 689 |
c ice/atmosphere interface, F_ia |
| 690 |
C ============================================================================= |
| 691 |
|
| 692 |
C-- Start loop over multi-categories |
| 693 |
DO IT=1,SEAICE_multDim |
| 694 |
|
| 695 |
DO J=1,sNy |
| 696 |
DO I=1,sNx |
| 697 |
c record prior ice surface temperatures |
| 698 |
ticeInMult(I,J,IT) = TICES(I,J,IT,bi,bj) |
| 699 |
ticeOutMult(I,J,IT) = TICES(I,J,IT,bi,bj) |
| 700 |
TICES(I,J,IT,bi,bj) = ZERO |
| 701 |
ENDDO |
| 702 |
ENDDO |
| 703 |
|
| 704 |
c set relative thickness of ice categories |
| 705 |
pFac = (2.0 _d 0*IT - 1.0 _d 0)*recip_multDim |
| 706 |
pFacSnow = 1. _d 0 |
| 707 |
|
| 708 |
c find actual snow and ice thickness within categories categories |
| 709 |
IF ( SEAICE_useMultDimSnow ) pFacSnow=pFac |
| 710 |
|
| 711 |
DO J=1,sNy |
| 712 |
DO I=1,sNx |
| 713 |
hiceActualMult(I,J,IT) = hiceActual(I,J) *pFac |
| 714 |
hsnowActualMult(I,J,IT) = hsnowActual(I,J)*pFacSnow |
| 715 |
ENDDO |
| 716 |
ENDDO |
| 717 |
|
| 718 |
ENDDO /* multDim */ |
| 719 |
|
| 720 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 721 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 722 |
CADJ STORE hiceActualMult = comlev1_bibj, key = iicekey, byte = isbyte |
| 723 |
CADJ STORE hsnowActualMult= comlev1_bibj, key = iicekey, byte = isbyte |
| 724 |
CADJ STORE ticeOutMult = comlev1_bibj, key = iicekey, byte = isbyte |
| 725 |
CADJ STORE F_io_net_mult = |
| 726 |
CADJ & comlev1_bibj, key = iicekey, byte = isbyte |
| 727 |
CADJ STORE F_ia_net_mult = |
| 728 |
CADJ & comlev1_bibj, key = iicekey, byte = isbyte |
| 729 |
CADJ STORE F_ia_mult = |
| 730 |
CADJ & comlev1_bibj, key = iicekey, byte = isbyte |
| 731 |
CADJ STORE QSWI_mult = |
| 732 |
CADJ & comlev1_bibj, key = iicekey, byte = isbyte |
| 733 |
CADJ STORE FWsublim_mult = |
| 734 |
CADJ & comlev1_bibj, key = iicekey, byte = isbyte |
| 735 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 736 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 737 |
|
| 738 |
c ======================================================================= |
| 739 |
c find calculate heat fluxes within ice (conduction) and across the |
| 740 |
c ice/atmosphere interface for each thickness category |
| 741 |
c ======================================================================= |
| 742 |
|
| 743 |
DO IT=1,SEAICE_multDim |
| 744 |
CALL SEAICE_SOLVE4TEMP( |
| 745 |
I UG, hiceActualMult(1,1,IT), hsnowActualMult(1,1,IT), |
| 746 |
U ticeInMult(1,1,IT), ticeOutMult(1,1,IT), |
| 747 |
O F_io_net_mult(1,1,IT), |
| 748 |
O F_ia_net_mult(1,1,IT), |
| 749 |
O F_ia_mult(1,1,IT), |
| 750 |
O QSWI_mult(1,1,IT), |
| 751 |
O FWsublim_mult(1,1,IT), |
| 752 |
I bi, bj, myTime, myIter, myThid ) |
| 753 |
ENDDO |
| 754 |
|
| 755 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 756 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 757 |
CADJ STORE hiceActualMult = comlev1_bibj, key = iicekey, byte = isbyte |
| 758 |
CADJ STORE hsnowActualMult= comlev1_bibj, key = iicekey, byte = isbyte |
| 759 |
CADJ STORE ticeOutMult = comlev1_bibj, key = iicekey, byte = isbyte |
| 760 |
CADJ STORE F_io_net_mult = |
| 761 |
CADJ & comlev1_bibj, key = iicekey, byte = isbyte |
| 762 |
CADJ STORE F_ia_net_mult = |
| 763 |
CADJ & comlev1_bibj, key = iicekey, byte = isbyte |
| 764 |
CADJ STORE F_ia_mult = |
| 765 |
CADJ & comlev1_bibj, key = iicekey, byte = isbyte |
| 766 |
CADJ STORE QSWI_mult = |
| 767 |
CADJ & comlev1_bibj, key = iicekey, byte = isbyte |
| 768 |
CADJ STORE FWsublim_mult = |
| 769 |
CADJ & comlev1_bibj, key = iicekey, byte = isbyte |
| 770 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 771 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 772 |
|
| 773 |
|
| 774 |
c ======================================================================= |
| 775 |
c record the ice surface temperature in each category |
| 776 |
c and find the average of fluxes across each category |
| 777 |
|
| 778 |
DO IT=1,SEAICE_multDim |
| 779 |
DO J=1,sNy |
| 780 |
DO I=1,sNx |
| 781 |
|
| 782 |
C update TICES |
| 783 |
TICES(I,J,IT,bi,bj) = ticeOutMult(I,J,IT) |
| 784 |
|
| 785 |
F_io_net(I,J) = F_io_net(I,J) + |
| 786 |
& F_io_net_mult(I,J,IT)*recip_multDim |
| 787 |
|
| 788 |
F_ia_net(I,J) = F_ia_net(I,J) + |
| 789 |
& F_ia_net_mult(I,J,IT)*recip_multDim |
| 790 |
|
| 791 |
F_ia(I,J) = F_ia(I,J) + |
| 792 |
& F_ia_mult(I,J,IT)*recip_multDim |
| 793 |
|
| 794 |
QSWI(I,J) = QSWI(I,J) + QSWI_mult(I,J,IT)*recip_multDim |
| 795 |
|
| 796 |
FWsublim(I,J) = FWsublim(I,J) + |
| 797 |
& FWsublim_mult(I,J,IT)*recip_multDim |
| 798 |
|
| 799 |
ENDDO |
| 800 |
ENDDO |
| 801 |
ENDDO |
| 802 |
|
| 803 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 804 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 805 |
CADJ STORE AREApreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 806 |
CADJ STORE F_io_net = comlev1_bibj, key = iicekey, byte = isbyte |
| 807 |
CADJ STORE F_ia_net = comlev1_bibj, key = iicekey, byte = isbyte |
| 808 |
CADJ STORE F_ia = comlev1_bibj, key = iicekey, byte = isbyte |
| 809 |
CADJ STORE QSWI = comlev1_bibj, key = iicekey, byte = isbyte |
| 810 |
CADJ STORE FWSublim = comlev1_bibj, key = iicekey, byte = isbyte |
| 811 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 812 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 813 |
|
| 814 |
DO J=1,sNy |
| 815 |
DO I=1,sNx |
| 816 |
c If there is heat flux convergence at the snow surface, |
| 817 |
c use that energy to melt snow before melting ice. It is |
| 818 |
c possible that some snow will remain after melting, |
| 819 |
c which will drive F_ia_net to zero, or that all of the |
| 820 |
c snow will be melted, leaving a nonzero F_ia_net to melt |
| 821 |
c some ice. |
| 822 |
F_ia_net_before_snow(I,J) = F_ia_net(I,J) |
| 823 |
|
| 824 |
c Only continue if there is snow and ice in the cell |
| 825 |
IF (AREApreTH(I,J) .LE. ZERO) THEN |
| 826 |
IceGrowthRateUnderExistingIce(I,J) = 0. _d 0 |
| 827 |
IceGrowthRateFromSurface(I,J) = 0. _d 0 |
| 828 |
NetExistingIceGrowthRate(I,J) = 0. _d 0 |
| 829 |
ELSE |
| 830 |
c The growth rate (m/s) beneath existing ice is given by the upward |
| 831 |
c ocean-ice conductive flux, F_io_net, and QI. |
| 832 |
IceGrowthRateUnderExistingIce(I,J) = F_io_net(I,J)*QI |
| 833 |
|
| 834 |
c The rate at which snow is melted (m/s) because of surface |
| 835 |
c heat flux convergence. Note, during snow melt, F_ia_net must |
| 836 |
c be negative (implying convergence) to make PSMRFW is positive |
| 837 |
PotSnowMeltRateFromSurf(I,J) = - F_ia_net(I,J)*QS |
| 838 |
|
| 839 |
c This is the depth of snow (m) that would be melted in one dt |
| 840 |
PotSnowMeltFromSurf(I,J) = |
| 841 |
& PotSnowMeltRateFromSurf(I,J) * SEAICE_deltaTtherm |
| 842 |
|
| 843 |
c If we can melt MORE than is actually there, then the melt |
| 844 |
c rate is reduced so that only that which is there |
| 845 |
c is melted during the time step. In this case, not all of the |
| 846 |
c heat flux convergence at the surface is used to melt snow. |
| 847 |
c Any remaining energy will melt ice. |
| 848 |
|
| 849 |
c SurfHeatFluxConvergToSnowMelt is the part of the total heat |
| 850 |
c flux convergence which melts snow. |
| 851 |
|
| 852 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 853 |
CCHECK: HSNOW ACTUAL SHOULDNT BE REGULARIZED FOR THIS |
| 854 |
IF (PotSnowMeltFromSurf(I,J) .GE. hsnowActual(I,J)) THEN |
| 855 |
|
| 856 |
c Snow melt and melt rate [m] (actual snow thickness) |
| 857 |
SnowMeltFromSurface(I,J) = hsnowActual(I,J) |
| 858 |
|
| 859 |
SnowMeltRateFromSurface(I,J) = |
| 860 |
& SnowMeltFromSurface(I,J) / SEAICE_deltaTtherm |
| 861 |
|
| 862 |
SurfHeatFluxConvergToSnowMelt(I,J) = |
| 863 |
& - hsnowActual(I,J)/QS/SEAICE_deltaTtherm |
| 864 |
ELSE |
| 865 |
c In this case there will be snow remaining after melting. |
| 866 |
c All of the surface heat convergence will be redirected to |
| 867 |
c this effort. |
| 868 |
SnowMeltFromSurface(I,J) = PotSnowMeltFromSurf(I,J) |
| 869 |
|
| 870 |
SnowMeltRateFromSurface(I,J) =PotSnowMeltRateFromSurf(I,J) |
| 871 |
|
| 872 |
SurfHeatFluxConvergToSnowMelt(I,J) = F_ia_net(I,J) |
| 873 |
|
| 874 |
ENDIF |
| 875 |
|
| 876 |
c Reduce the heat flux convergence available to melt surface |
| 877 |
c ice by the amount used to melt snow |
| 878 |
F_ia_net(I,J) = F_ia_net(I,J) - |
| 879 |
& SurfHeatFluxConvergToSnowMelt(I,J) |
| 880 |
|
| 881 |
IceGrowthRateFromSurface(I,J) = F_ia_net(I,J) * QI |
| 882 |
|
| 883 |
c The total growth rate (m/s) of the existing ice - the rate of |
| 884 |
c new ice accretion at the base less the rate due to surface melt |
| 885 |
NetExistingIceGrowthRate(I,J) = |
| 886 |
& IceGrowthRateUnderExistingIce(I,J) + |
| 887 |
& IceGrowthRateFromSurface(I,J) |
| 888 |
ENDIF |
| 889 |
|
| 890 |
ENDDO |
| 891 |
ENDDO |
| 892 |
|
| 893 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 894 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 895 |
CADJ STORE AREApreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 896 |
CADJ STORE SnowMeltRateFromSurface = comlev1_bibj, |
| 897 |
CADJ & key = iicekey, byte = isbyte |
| 898 |
CADJ STORE IceGrowthRateUnderExistingIce = comlev1_bibj, |
| 899 |
CADJ & key = iicekey, byte = isbyte |
| 900 |
CADJ STORE IceGrowthRateFromSurface = comlev1_bibj, |
| 901 |
CADJ & key = iicekey, byte = isbyte |
| 902 |
CADJ STORE NetExistingIceGrowthRate = comlev1_bibj, |
| 903 |
CADJ & key = iicekey, byte = isbyte |
| 904 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 905 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 906 |
|
| 907 |
|
| 908 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 909 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 910 |
CADJ STORE AREApreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 911 |
CADJ STORE theta(:,:,kSurface,bi,bj) = comlev1_bibj, |
| 912 |
CADJ & key = iicekey, byte = isbyte |
| 913 |
CADJ STORE salt(:,:,kSurface,bi,bj) = comlev1_bibj, |
| 914 |
CADJ & key = iicekey, byte = isbyte |
| 915 |
#endif |
| 916 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 917 |
|
| 918 |
C Calcuate the heat fluxes from the ocean to the sea ice |
| 919 |
DO J=1,sNy |
| 920 |
DO I=1,sNx |
| 921 |
c |
| 922 |
c Bound the ocean temperature to be at or above the freezing point. |
| 923 |
tempFrz = SEAICE_tempFrz0 + |
| 924 |
& SEAICE_dTempFrz_dS * salt(I,J,kSurface,bi,bj) |
| 925 |
|
| 926 |
surf_theta = max(theta(I,J,kSurface,bi,bj), tempFrz) |
| 927 |
|
| 928 |
c inflection point |
| 929 |
tmpscal0 = 0.4 _d 0 |
| 930 |
|
| 931 |
c steepness |
| 932 |
tmpscal1 = 7.0 _d 0 |
| 933 |
|
| 934 |
MLTF(I,J) = ONE + (12.5 - ONE) * |
| 935 |
& (ONE + EXP( (AREApreTH(I,J) - tmpscal0) |
| 936 |
& * tmpscal1/tmpscal0))**(-ONE) |
| 937 |
|
| 938 |
c IF (AREApreTH(I,J) .GT. ZERO) THEN |
| 939 |
c |
| 940 |
c If ice is present, MixedLayerTurbulenceFactor = 1.0, else 12.50 |
| 941 |
c MLTF = ONE |
| 942 |
c ELSE |
| 943 |
c MLTF = 12.5 _d 0 |
| 944 |
c ENDIF |
| 945 |
|
| 946 |
F_mi(I,J) = -STANTON_NUMBER * USTAR_BASE * RHOSW * |
| 947 |
& HeatCapacity_Cp * (surf_theta - tempFrz) * MLTF(I,J) |
| 948 |
|
| 949 |
IceGrowthRateMixedLayer (I,J) = F_mi(I,J) * QI |
| 950 |
|
| 951 |
ENDDO |
| 952 |
ENDDO |
| 953 |
|
| 954 |
|
| 955 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 956 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 957 |
CADJ STORE AREApreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 958 |
CADJ STORE F_mi = comlev1_bibj, key = iicekey, byte = isbyte |
| 959 |
CADJ STORE IceGrowthRateMixedLayer = |
| 960 |
CADJ & comlev1_bibj,key = iicekey, byte = isbyte |
| 961 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 962 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 963 |
|
| 964 |
C CALCULATE THICKNESS DERIVATIVES of ice (dhdt) and snow (dhsdt) |
| 965 |
DO J=1,sNy |
| 966 |
DO I=1,sNx |
| 967 |
|
| 968 |
S_h(I,J) = |
| 969 |
& NetExistingIceGrowthRate(I,J) * AREApreTH(I,J) |
| 970 |
& + IceGrowthRateOpenWater(I,J) * (ONE - AREApreTH(I,J)) |
| 971 |
& + IceGrowthRateMixedLayer(I,J) |
| 972 |
|
| 973 |
c Both the accumulation and melt rates are in terms |
| 974 |
c of actual snow thickness. As with ice, multiplying |
| 975 |
c with area converts to mean snow thickness. |
| 976 |
c S_hsnow(I,J) = AREApreTH(I,J) * |
| 977 |
c & ( SnowAccRateOverIce(I,J) - SnowMeltRateFromSurface(I,J)) |
| 978 |
|
| 979 |
c the only snow tendency term is the surface melting term since |
| 980 |
c the surface accumulation is taken care of in step 2 |
| 981 |
S_hsnow(I,J) = AREApreTH(I,J) * |
| 982 |
& ( - SnowMeltRateFromSurface(I,J)) |
| 983 |
|
| 984 |
ENDDO |
| 985 |
ENDDO |
| 986 |
|
| 987 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 988 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 989 |
CADJ STORE AREApreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 990 |
CADJ STORE HEFFpreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 991 |
CADJ STORE S_a = comlev1_bibj, key = iicekey, byte = isbyte |
| 992 |
CADJ STORE S_h = comlev1_bibj, key = iicekey, byte = isbyte |
| 993 |
CADJ STORE S_hsnow = comlev1_bibj, key = iicekey, byte = isbyte |
| 994 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 995 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 996 |
|
| 997 |
c Caculate dA/dt (S_a) |
| 998 |
DO J=1,sNy |
| 999 |
DO I=1,sNx |
| 1000 |
|
| 1001 |
S_a(I,J) = 0. _d 0 |
| 1002 |
|
| 1003 |
c Caculate the ice area growth rate from the open water fluxes. |
| 1004 |
c First, determine whether the open water growth rate is positive or |
| 1005 |
c negative. If positive, make sure that ice is present or that the |
| 1006 |
c net ice thickness growth rate is positive before extending ice cover |
| 1007 |
|
| 1008 |
c this is the geometric term: Area/(2*Heff), |
| 1009 |
c with Area/Heff regularized as Area/(Heff^2 + epsilon^2) |
| 1010 |
c Area/(Heff^2 + ep^2) = recip_hiceActual |
| 1011 |
c epsilon = SEAICE_hice_reg |
| 1012 |
|
| 1013 |
tmpscal0 = recip_hiceActual(I,J) / 2.0 _d 0 |
| 1014 |
|
| 1015 |
C -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= |
| 1016 |
C /* IceGrowthRateOpenWater */ |
| 1017 |
|
| 1018 |
S_a_IGROW(I,J) = ZERO |
| 1019 |
|
| 1020 |
c Expand ice cover if the open water growth rate is positive |
| 1021 |
IF ( IceGrowthRateOpenWater(I,J) .GT. ZERO) THEN |
| 1022 |
IF ((AREApreTH(I,J) .GT. ZERO) .OR. |
| 1023 |
& (S_h(I,J) .GT. ZERO)) THEN |
| 1024 |
c Determine which hemisphere for hemisphere-dependent |
| 1025 |
c "lead closing variable", HO |
| 1026 |
IF ( YC(I,J,bi,bj) .LT. ZERO ) THEN |
| 1027 |
S_a_IGROW(I,J) = (ONE - AREApreTH(I,J)) * |
| 1028 |
& IceGrowthRateOpenWater(I,J)/HO_south |
| 1029 |
ELSE |
| 1030 |
S_a_IGROW(I,J) = (ONE - AREApreTH(I,J)) * |
| 1031 |
& IceGrowthRateOpenWater(I,J)/HO |
| 1032 |
ENDIF |
| 1033 |
ENDIF |
| 1034 |
|
| 1035 |
C -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= |
| 1036 |
c Contract ice cover if the open water growth rate is negative |
| 1037 |
ELSE |
| 1038 |
S_a_IGROW(I,J) = tmpscal0 * |
| 1039 |
& IceGrowthRateOpenWater(I,J) * (ONE - AREApreTH(I,J)) |
| 1040 |
ENDIF |
| 1041 |
|
| 1042 |
S_a(I,J) = S_a(I,J) + S_a_IGROW(I,J) |
| 1043 |
|
| 1044 |
|
| 1045 |
C -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= |
| 1046 |
c /* IceGrowthRateMixedLayer */ |
| 1047 |
C Contract ice if the IceGrowthRateMixedLayer is negative |
| 1048 |
S_a_IGRML(I,J) = ZERO |
| 1049 |
|
| 1050 |
IF ( IceGrowthRateMixedLayer(I,J) .LE. ZERO) THEN |
| 1051 |
S_a_IGRML(I,J) = tmpscal0 * IceGrowthRateMixedLayer(I,J) |
| 1052 |
ENDIF |
| 1053 |
|
| 1054 |
S_a(I,J) = S_a(I,J) + S_a_IGRML(I,J) |
| 1055 |
|
| 1056 |
c |
| 1057 |
C -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= |
| 1058 |
C Contract ice if the NetExistingIceGrowthRate is negative |
| 1059 |
C /* NetExistingIceGrowthRate */ |
| 1060 |
S_a_IGRNE(I,J) = ZERO |
| 1061 |
IF ( (NetExistingIceGrowthRate(I,J) .LE. ZERO) .AND. |
| 1062 |
& (HEFFpreTH(I,J) .GT. ZERO) ) THEN |
| 1063 |
|
| 1064 |
S_a_IGRNE(I,J) = |
| 1065 |
& tmpscal0 * NetExistingIceGrowthRate(I,J) * AREApreTH(I,J) |
| 1066 |
|
| 1067 |
ENDIF |
| 1068 |
|
| 1069 |
S_a(I,J) = S_a(I,J) + S_a_IGRNE(I,J) |
| 1070 |
|
| 1071 |
ENDDO /* I,J */ |
| 1072 |
ENDDO /* I,J */ |
| 1073 |
|
| 1074 |
|
| 1075 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1076 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 1077 |
CADJ STORE AREApreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 1078 |
CADJ STORE HEFFpreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 1079 |
CADJ STORE HSNWpreTH = comlev1_bibj, key = iicekey, byte = isbyte |
| 1080 |
CADJ STORE S_a = comlev1_bibj, key = iicekey, byte = isbyte |
| 1081 |
CADJ STORE S_h = comlev1_bibj, key = iicekey, byte = isbyte |
| 1082 |
CADJ STORE S_hsnow = comlev1_bibj, key = iicekey, byte = isbyte |
| 1083 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 1084 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1085 |
|
| 1086 |
C Update the area, heff, and hsnow |
| 1087 |
DO J=1,sNy |
| 1088 |
DO I=1,sNx |
| 1089 |
HEFF(I,J,bi,bj) = HEFFpreTH(I,J) + |
| 1090 |
& SEAICE_deltaTtherm * S_h(I,J) |
| 1091 |
|
| 1092 |
AREA(I,J,bi,bj) = AREApreTH(I,J) + |
| 1093 |
& SEAICE_deltaTtherm * S_a(I,J) |
| 1094 |
|
| 1095 |
HSNOW(I,J,bi,bj) = HSNWpreTH(I,J) + |
| 1096 |
& SEAICE_deltaTtherm * S_hsnow(I,J) |
| 1097 |
ENDDO |
| 1098 |
ENDDO |
| 1099 |
|
| 1100 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1101 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 1102 |
CADJ STORE AREApreTH = comlev1_bibj,key=iicekey,byte=isbyte |
| 1103 |
CADJ STORE HEFFpreTH = comlev1_bibj,key=iicekey,byte=isbyte |
| 1104 |
CADJ STORE HSNWpreTH = comlev1_bibj,key=iicekey,byte=isbyte |
| 1105 |
CADJ STORE AREA (:,:,bi,bj) = comlev1_bibj,key=iicekey,byte=isbyte |
| 1106 |
CADJ STORE HEFF (:,:,bi,bj) = comlev1_bibj,key=iicekey,byte=isbyte |
| 1107 |
CADJ STORE HSNOW(:,:,bi,bj) = comlev1_bibj,key=iicekey,byte=isbyte |
| 1108 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 1109 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1110 |
|
| 1111 |
|
| 1112 |
DO J=1,sNy |
| 1113 |
DO I=1,sNx |
| 1114 |
c Bound area, heff, and hsnow |
| 1115 |
AREA(I,J,bi,bj) = MIN(AREA(I,J,bi,bj), SEAICE_area_max) |
| 1116 |
AREA(I,J,bi,bj) = MAX(ZERO, AREA(I,J,bi,bj)) |
| 1117 |
HEFF(I,J,bi,bj) = MAX(ZERO, HEFF(I,J,bi,bj)) |
| 1118 |
HSNOW(I,J,bi,bj) = MAX(ZERO, HSNOW(I,J,bi,bj)) |
| 1119 |
|
| 1120 |
c Sanity checks |
| 1121 |
IF (HEFF(I,J,bi,bj) .LE. ZERO .OR. |
| 1122 |
& AREA(I,J,bi,bj) .LE. ZERO) THEN |
| 1123 |
|
| 1124 |
AREA(I,J,bi,bj) = 0. _d 0 |
| 1125 |
HEFF(I,J,bi,bj) = 0. _d 0 |
| 1126 |
hiceActual(I,J) = 0. _d 0 |
| 1127 |
HSNOW(I,J,bi,bj) = 0. _d 0 |
| 1128 |
hsnowActual(I,J) = 0. _d 0 |
| 1129 |
|
| 1130 |
ELSE |
| 1131 |
c recalcuate the actual ice and snow thicknesses |
| 1132 |
hiceActual(I,J) = HEFF(I,J,bi,bj)/AREA(I,J,bi,bj) |
| 1133 |
hsnowActual(I,J) = HSNOW(I,J,bi,bj)/AREA(I,J,bi,bj) |
| 1134 |
ENDIF |
| 1135 |
|
| 1136 |
ENDDO |
| 1137 |
ENDDO |
| 1138 |
|
| 1139 |
|
| 1140 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1141 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 1142 |
CADJ STORE AREA (:,:,bi,bj) = comlev1_bibj,key=iicekey,byte=isbyte |
| 1143 |
CADJ STORE HEFF (:,:,bi,bj) = comlev1_bibj,key=iicekey,byte=isbyte |
| 1144 |
CADJ STORE HSNOW(:,:,bi,bj) = comlev1_bibj,key=iicekey,byte=isbyte |
| 1145 |
CADJ STORE salt(:,:,kSurface,bi,bj) = comlev1_bibj, |
| 1146 |
CADJ & key = iicekey, byte = isbyte |
| 1147 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 1148 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1149 |
|
| 1150 |
DO J=1,sNy |
| 1151 |
DO I=1,sNx |
| 1152 |
|
| 1153 |
c THE EFFECTIVE SHORTWAVE HEATING RATE |
| 1154 |
#ifdef SHORTWAVE_HEATING |
| 1155 |
QSW(I,J,bi,bj) = |
| 1156 |
& QSWI(I,J) * ( AREApreTH(I,J)) + |
| 1157 |
& QSWO(I,J) * (ONE - AREApreTH(I,J)) |
| 1158 |
#else |
| 1159 |
QSW(I,J,bi,bj) = 0. _d 0 |
| 1160 |
#endif |
| 1161 |
|
| 1162 |
c The actual ice volume change over the time step |
| 1163 |
ActualNewTotalVolumeChange(I,J) = |
| 1164 |
& HEFF(I,J,bi,bj) - HEFFpreTH(I,J) |
| 1165 |
|
| 1166 |
c The net average snow thickness melt that is actually realized. e.g. |
| 1167 |
c hsnow_orig = 0.25 m (e.g. 1 m of ice over a cell 1/4 covered in snow) |
| 1168 |
c hsnow_new = 0.20 m |
| 1169 |
c snow accum = 0.05 m |
| 1170 |
c melt = 0.25 + 0.05 - 0.2 = 0.1 m |
| 1171 |
|
| 1172 |
c snow has been accumulated in HSNWpreTH, so HSNOW can only |
| 1173 |
c be .LE. HSNWpreTH at this point |
| 1174 |
ActualNewTotalSnowMelt(I,J) = |
| 1175 |
& HSNWpreTH(I,J) - |
| 1176 |
& HSNOW(I,J,bi,bj) |
| 1177 |
c & SnowAccOverIce(I,J) - |
| 1178 |
|
| 1179 |
c The energy required to melt or form the new ice volume |
| 1180 |
EnergyInNewTotalIceVolume(I,J) = |
| 1181 |
& ActualNewTotalVolumeChange(I,J)/QI |
| 1182 |
|
| 1183 |
c This is the net energy flux out of the ice+ocean system |
| 1184 |
c Remember ----- |
| 1185 |
c F_ia_net : Under ice/snow surface freezing conditions, |
| 1186 |
c vertical conductive heat flux convergence (F_c < 0) balances |
| 1187 |
c heat flux divergence to atmosphere (F_ia > 0) |
| 1188 |
c Otherwise, F_ia_net = F_ia (pos) |
| 1189 |
c |
| 1190 |
c F_io_net : Under ice/snow surface freezing conditions, F_c < 0. |
| 1191 |
c Under ice surface melting conditions, F_c = 0 (no energy flux |
| 1192 |
c from the ice to ocean) |
| 1193 |
c |
| 1194 |
c So if we are freezing, F_io_net = the conductive flux and there |
| 1195 |
c is energy balance at ice surface, F_ia_net =0. If we are melting, |
| 1196 |
c there is a convergence of energy into the ice from above |
| 1197 |
NetEnergyFluxOutOfOcean(I,J) = SEAICE_deltaTtherm * |
| 1198 |
& ( AREApreTH(I,J) * |
| 1199 |
& (F_ia_net(I,J) + F_io_net(I,J) + QSWI(I,J)) |
| 1200 |
& + ( ONE - AREApreTH(I,J)) * F_ao(I,J)) |
| 1201 |
|
| 1202 |
c THE QUANTITY OF HEAT WHICH IS THE RESIDUAL TO THE QUANTITY OF |
| 1203 |
c ML temperature. If the net energy flux is exactly balanced by the |
| 1204 |
c latent energy of fusion in the new ice created then we will not |
| 1205 |
c change the ML temperature at all. |
| 1206 |
|
| 1207 |
ResidualEnergyOutOfOcean(I,J) = |
| 1208 |
& NetEnergyFluxOutOfOcean(I,J) - |
| 1209 |
& EnergyInNewTotalIceVolume(I,J) |
| 1210 |
|
| 1211 |
C NOW FORMULATE QNET |
| 1212 |
C THIS QNET DETERMINES THE TEMPERATURE CHANGE |
| 1213 |
C QNET IS A DEPTH AVERAGED HEAT FLUX FOR THE OCEAN COLUMN |
| 1214 |
|
| 1215 |
QNET(I,J,bi,bj) = |
| 1216 |
& ResidualEnergyOutOfOcean(I,J) / SEAICE_deltaTtherm |
| 1217 |
|
| 1218 |
|
| 1219 |
c Like snow melt, if there is melting, this quantity is positive. |
| 1220 |
c The change of freshwater content is per unit area over the entire |
| 1221 |
c cell, not just over the ice covered bits. This term is only used |
| 1222 |
c to calculate freshwater fluxes for the purpose of changing the |
| 1223 |
c salinity of the liquid cell. In the case of non-zero ice salinity, |
| 1224 |
c the amount of freshwater is reduced by the ratio of ice salinity |
| 1225 |
c to water cell salinity. |
| 1226 |
IF (salt(I,J,kSurface,bi,bj) .GE. SEAICE_salt0 .AND. |
| 1227 |
& salt(I,J,kSurface,bi,bj) .GT. 0. _d 0) THEN |
| 1228 |
|
| 1229 |
FreshwaterContribFromIce(I,J) = |
| 1230 |
& - ActualNewTotalVolumeChange(I,J) * |
| 1231 |
& SEAICE_rhoICE/rhoConstFresh * |
| 1232 |
& (ONE - SEAICE_salt0/salt(I,J,kSurface,bi,bj)) |
| 1233 |
|
| 1234 |
ELSE |
| 1235 |
C If the liquid cell has a lower salinity than the specified |
| 1236 |
c salinity of sea ice then assume the sea ice is completely fresh |
| 1237 |
FreshwaterContribFromIce(I,J) = |
| 1238 |
& -ActualNewTotalVolumeChange(I,J) * |
| 1239 |
& SEAICE_rhoIce/rhoConstFresh |
| 1240 |
ENDIF |
| 1241 |
|
| 1242 |
|
| 1243 |
c The freshwater contribution from snow comes only in the form of melt |
| 1244 |
c unlike ice, which takes freshwater upon growth and yields freshwater |
| 1245 |
c upon melt. This is why the the actual new average snow melt was determined. |
| 1246 |
c In m/m^2 over the entire cell. |
| 1247 |
FreshwaterContribFromSnowMelt(I,J) = |
| 1248 |
& ActualNewTotalSnowMelt(I,J)*SEAICE_rhoSnow/rhoConstFresh |
| 1249 |
|
| 1250 |
c This seems to be in m/s, original time level 2 for area |
| 1251 |
c Only the precip and evap need to be area weighted. The runoff |
| 1252 |
c and freshwater contribs from ice and snow melt are already mean |
| 1253 |
c weighted |
| 1254 |
EmPmR(I,J,bi,bj) = maskC(I,J,kSurface,bi,bj)*( |
| 1255 |
& ( EVAP(I,J,bi,bj) - PRECIP(I,J,bi,bj) ) |
| 1256 |
& * ( ONE - AREApreTH(I,J) ) |
| 1257 |
& - PrecipRateOverIceSurfaceToSea(I,J)*AREApreTH(I,J) |
| 1258 |
#ifdef ALLOW_RUNOFF |
| 1259 |
& - RUNOFF(I,J,bi,bj) |
| 1260 |
#endif |
| 1261 |
& - (FreshwaterContribFromIce(I,J) + |
| 1262 |
& FreshwaterContribFromSnowMelt(I,J)) / |
| 1263 |
& SEAICE_deltaTtherm ) * rhoConstFresh |
| 1264 |
|
| 1265 |
ENDDO |
| 1266 |
ENDDO |
| 1267 |
|
| 1268 |
|
| 1269 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1270 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 1271 |
CADJ STORE hiceActual = comlev1_bibj,key=iicekey,byte=isbyte |
| 1272 |
CADJ STORE hsnowActual = comlev1_bibj,key=iicekey,byte=isbyte |
| 1273 |
CADJ STORE AREApreTH = comlev1_bibj,key=iicekey,byte=isbyte |
| 1274 |
CADJ STORE HEFF(:,:,bi,bj) = comlev1_bibj,key=iicekey,byte=isbyte |
| 1275 |
CADJ STORE HSNOW(:,:,bi,bj) = comlev1_bibj,key=iicekey,byte=isbyte |
| 1276 |
CADJ STORE AREA(:,:,bi,bj) = comlev1_bibj,key=iicekey,byte=isbyte |
| 1277 |
CADJ STORE salt(:,:,kSurface,bi,bj) = comlev1_bibj, |
| 1278 |
CADJ & key = iicekey, byte = isbyte |
| 1279 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 1280 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1281 |
|
| 1282 |
#ifdef ALLOW_SEAICE_FLOODING |
| 1283 |
IF(SEAICEuseFlooding) THEN |
| 1284 |
|
| 1285 |
DO J = 1,sNy |
| 1286 |
DO I = 1,sNx |
| 1287 |
tmpscal0 = FL_C2*( hsnowActual(I,J) - |
| 1288 |
& hiceActual(I,J)*FL_C3 ) |
| 1289 |
|
| 1290 |
IF (tmpscal0 .GT. ZERO) THEN |
| 1291 |
tmpscal1 = FL_C4*tmpscal0 |
| 1292 |
|
| 1293 |
hiceActual(I,J) = hiceActual(I,J) |
| 1294 |
& + tmpscal1 |
| 1295 |
|
| 1296 |
hsnowActual(I,J) = hsnowActual(I,J) |
| 1297 |
& - tmpscal0 |
| 1298 |
|
| 1299 |
HEFF(I,J,bi,bj)= hiceActual(I,J) * |
| 1300 |
& AREA(I,J,bi,bj) |
| 1301 |
|
| 1302 |
HSNOW(I,J,bi,bj) = hsnowActual(I,J)* |
| 1303 |
& AREA(I,J,bi,bj) |
| 1304 |
|
| 1305 |
ENDIF /* flooding */ |
| 1306 |
ENDDO |
| 1307 |
ENDDO |
| 1308 |
c SEAICEuseFlooding |
| 1309 |
ENDIF |
| 1310 |
c ALLOW_SEAICE_FLOODING |
| 1311 |
#endif |
| 1312 |
|
| 1313 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1314 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 1315 |
CADJ STORE hiceActual = comlev1_bibj,key=iicekey,byte=isbyte |
| 1316 |
CADJ STORE hsnowActual = comlev1_bibj,key=iicekey,byte=isbyte |
| 1317 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj,key=iicekey,byte=isbyte |
| 1318 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj,key=iicekey,byte=isbyte |
| 1319 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 1320 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1321 |
|
| 1322 |
C Sea Ice Load on the sea surface. |
| 1323 |
C ================================= |
| 1324 |
IF ( useRealFreshWaterFlux ) THEN |
| 1325 |
DO J=1,sNy |
| 1326 |
DO I=1,sNx |
| 1327 |
#ifdef SEAICE_CAP_ICELOAD |
| 1328 |
tmpscal1 = HEFF(I,J,bi,bj)*SEAICE_rhoIce |
| 1329 |
& + HSNOW(I,J,bi,bj)*SEAICE_rhoSnow |
| 1330 |
tmpscal2 = MIN(tmpscal1,heffTooHeavy*rhoConst) |
| 1331 |
#else |
| 1332 |
tmpscal2 = HEFF(I,J,bi,bj)*SEAICE_rhoIce |
| 1333 |
& + HSNOW(I,J,bi,bj)*SEAICE_rhoSnow |
| 1334 |
#endif |
| 1335 |
sIceLoad(i,j,bi,bj) = tmpscal2 |
| 1336 |
ENDDO |
| 1337 |
ENDDO |
| 1338 |
ENDIF |
| 1339 |
|
| 1340 |
|
| 1341 |
#ifdef SEAICE_DEBUG |
| 1342 |
DO j=1,sNy |
| 1343 |
DO i=1,sNx |
| 1344 |
|
| 1345 |
IF ( (i .EQ. SEAICE_debugPointI) .and. |
| 1346 |
& (j .EQ. SEAICE_debugPointJ) ) THEN |
| 1347 |
|
| 1348 |
print *,'ifice: myTime,myIter:',myTime,myIter |
| 1349 |
|
| 1350 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1351 |
& 'ifice i j -------------- ',i,j |
| 1352 |
|
| 1353 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1354 |
& 'ifice i j F(mi ao), rHIA ', |
| 1355 |
& i,j, F_mi(i,j), F_ao(i,j), |
| 1356 |
& recip_hiceActual(i,j) |
| 1357 |
|
| 1358 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1359 |
& 'ifice i j Fi(a,ant2/1 ont)', |
| 1360 |
& i,j, F_ia(i,j), |
| 1361 |
& F_ia_net_before_snow(i,j), |
| 1362 |
& F_ia_net(i,j), |
| 1363 |
& F_io_net(i,j) |
| 1364 |
|
| 1365 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1366 |
& 'ifice i j AREA2/1 HEFF2/1 ',i,j, |
| 1367 |
& AREApreTH(I,J), |
| 1368 |
& AREA(i,j,bi,bj), |
| 1369 |
& HEFFpreTH(I,J), |
| 1370 |
& HEFF(i,j,bi,bj) |
| 1371 |
|
| 1372 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1373 |
& 'ifice i j HSNOW2/1 TMX ',i,j, |
| 1374 |
& HSNWpreTH(I,J), |
| 1375 |
& HSNOW(I,J,bi,bj), |
| 1376 |
& theta(I,J,kSurface,bi,bj) |
| 1377 |
|
| 1378 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1379 |
& 'ifice i j TI ATP LWD ',i,j, |
| 1380 |
& TICES(i,j,1, bi,bj) - celsius2k, |
| 1381 |
& ATEMP(i,j,bi,bj) - celsius2k, |
| 1382 |
& LWDOWN(i,j,bi,bj) |
| 1383 |
|
| 1384 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1385 |
& 'ifice i j S_a(tot,OW,ML,NE',i,j, |
| 1386 |
& S_a(i,j), |
| 1387 |
& S_a_IGROW(I,J), |
| 1388 |
& S_a_IGRML(I,J), |
| 1389 |
& S_a_IGRNE(I,J) |
| 1390 |
|
| 1391 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1392 |
& 'ifice i j S_a S_h S_hsnow ',i,j, |
| 1393 |
& S_a(i,j), |
| 1394 |
& S_h(i,j), |
| 1395 |
& S_hsnow(i,j) |
| 1396 |
|
| 1397 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1398 |
& 'ifice i j IGR(ML OW ICE) ',i,j, |
| 1399 |
& IceGrowthRateMixedLayer(i,j), |
| 1400 |
& IceGrowthRateOpenWater(i,j), |
| 1401 |
& NetExistingIceGrowthRate(i,j) |
| 1402 |
|
| 1403 |
|
| 1404 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1405 |
& 'ifice i j THETA/TFRZ/SALT ',i,j, |
| 1406 |
& theta(I,J,kSurface,bi,bj), |
| 1407 |
& tmpFrz, |
| 1408 |
& salt(I,J,kSurface,bi,bj) |
| 1409 |
|
| 1410 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1411 |
& 'ifice i j IVC(A ENIN) ',i,j, |
| 1412 |
& ActualNewTotalVolumeChange(i,j), |
| 1413 |
& EnergyInNewTotalIceVolume(i,j) |
| 1414 |
c & ExpectedIceVolumeChange(i,j), |
| 1415 |
|
| 1416 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1417 |
& 'ifice i j EF(NOS RE) QNET ',i,j, |
| 1418 |
& NetEnergyFluxOutOfOcean(i,j), |
| 1419 |
& ResidualEnergyOutOfOcean(i,j), |
| 1420 |
& QNET(I,J,bi,bj) |
| 1421 |
|
| 1422 |
print '(A,2i4,3(1x,1P3E15.4))', |
| 1423 |
& 'ifice i j QSW QSWO QSWI ',i,j, |
| 1424 |
& QSW(i,j,bi,bj), |
| 1425 |
& QSWO(i,j), |
| 1426 |
& QSWI(i,j) |
| 1427 |
|
| 1428 |
c print '(A,2i4,3(1x,1P3E15.4))', |
| 1429 |
c & 'ifice i j SW(BML IML SW) ',i,j, |
| 1430 |
c & QSW_absorb_below_first_layer(i,j), |
| 1431 |
c & QSW_absorb_in_first_layer(i,j), |
| 1432 |
c & SWFRACB |
| 1433 |
|
| 1434 |
c print '(A,2i4,3(1x,1P3E15.4))', |
| 1435 |
c & 'ifice i j ptc(to, qsw, oa)',i,j, |
| 1436 |
c & PredTempChange(i,j), |
| 1437 |
c & PredTempChangeFromQSW (i,j), |
| 1438 |
c & PredTempChangeFromOA_MQNET(i,j) |
| 1439 |
|
| 1440 |
|
| 1441 |
c print '(A,2i4,3(1x,1P3E15.4))', |
| 1442 |
c & 'ifice i j ptc(fion,ian,ia)',i,j, |
| 1443 |
c & PredTempChangeFromF_IO_NET(i,j), |
| 1444 |
c & PredTempChangeFromF_IA_NET(i,j), |
| 1445 |
c & PredTempChangeFromFIA(i,j) |
| 1446 |
|
| 1447 |
c print '(A,2i4,3(1x,1P3E15.4))', |
| 1448 |
c & 'ifice i j ptc(niv) ',i,j, |
| 1449 |
c & PredTempChangeFromNewIceVol(i,j) |
| 1450 |
|
| 1451 |
|
| 1452 |
print '(A,2i4,3(1x,1P3E15.4))', |
| 1453 |
& 'ifice i j EmPmR EVP PRE RU',i,j, |
| 1454 |
& EmPmR(I,J,bi,bj), |
| 1455 |
& EVAP(I,J,bi,bj), |
| 1456 |
& PRECIP(I,J,bi,bj), |
| 1457 |
& RUNOFF(I,J,bi,bj) |
| 1458 |
|
| 1459 |
print '(A,2i4,3(1x,1P3E15.4))', |
| 1460 |
& 'ifice i j PRROIS,SAOI(R .)',i,j, |
| 1461 |
& PrecipRateOverIceSurfaceToSea(I,J), |
| 1462 |
& SnowAccRateOverIce(I,J), |
| 1463 |
& SnowAccOverIce(I,J) |
| 1464 |
|
| 1465 |
print '(A,2i4,4(1x,1P3E15.4))', |
| 1466 |
& 'ifice i j SM(PM PMR . .R) ',i,j, |
| 1467 |
& PotSnowMeltFromSurf(I,J), |
| 1468 |
& PotSnowMeltRateFromSurf(I,J), |
| 1469 |
& SnowMeltFromSurface(I,J), |
| 1470 |
& SnowMeltRateFromSurface(I,J) |
| 1471 |
|
| 1472 |
print '(A,2i4,4(1x,1P3E15.4))', |
| 1473 |
& 'ifice i j TotSnwMlt ',i,j, |
| 1474 |
& ActualNewTotalSnowMelt(I,J) |
| 1475 |
c & ExpectedSnowVolumeChange(I,J) |
| 1476 |
|
| 1477 |
print '(A,2i4,4(1x,1P3E15.4))', |
| 1478 |
& 'ifice i j fw(CFICE, CFSM) ',i,j, |
| 1479 |
& FreshwaterContribFromIce(I,J), |
| 1480 |
& FreshwaterContribFromSnowMelt(I,J) |
| 1481 |
|
| 1482 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1483 |
& 'ifice i j -------------- ',i,j |
| 1484 |
|
| 1485 |
ENDIF |
| 1486 |
|
| 1487 |
ENDDO |
| 1488 |
ENDDO |
| 1489 |
#endif /* SEAICE_DEBUG */ |
| 1490 |
|
| 1491 |
|
| 1492 |
C close bi,bj loops |
| 1493 |
ENDDO |
| 1494 |
ENDDO |
| 1495 |
|
| 1496 |
#else /* ALLOW_EXF and ALLOW_ATM_TEMP */ |
| 1497 |
STOP 'SEAICE_GROWTH not compiled without EXF and ALLOW_ATM_TEMP' |
| 1498 |
#endif /* ALLOW_EXF and ALLOW_ATM_TEMP */ |
| 1499 |
|
| 1500 |
RETURN |
| 1501 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph