| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/seaice/seaice_growth_if.F,v 1.8 2009/08/02 19:45:42 jmc Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "SEAICE_OPTIONS.h" |
| 5 |
|
| 6 |
C StartOfInterface |
| 7 |
SUBROUTINE SEAICE_GROWTH_IF( myTime, myIter, myThid ) |
| 8 |
C /==========================================================\ |
| 9 |
C | SUBROUTINE seaice_growth_if | |
| 10 |
C | o Updata ice thickness and snow depth | |
| 11 |
C |==========================================================| |
| 12 |
C \==========================================================/ |
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IMPLICIT NONE |
| 14 |
|
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C === Global variables === |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
| 18 |
#include "PARAMS.h" |
| 19 |
#include "DYNVARS.h" |
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#include "GRID.h" |
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#include "FFIELDS.h" |
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#include "SEAICE_PARAMS.h" |
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#include "SEAICE.h" |
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#ifdef ALLOW_EXF |
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# include "EXF_OPTIONS.h" |
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# include "EXF_FIELDS.h" |
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# include "EXF_PARAM.h" |
| 28 |
#endif |
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#ifdef ALLOW_SALT_PLUME |
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# include "SALT_PLUME.h" |
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#endif |
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#ifdef ALLOW_AUTODIFF_TAMC |
| 33 |
# include "tamc.h" |
| 34 |
#endif |
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C === Routine arguments === |
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C myTime - Simulation time |
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C myIter - Simulation timestep number |
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C myThid - Thread no. that called this routine. |
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_RL myTime |
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INTEGER myIter, myThid |
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C EndOfInterface(global-font-lock-mode 1) |
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|
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C === Local variables === |
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C i,j,bi,bj - Loop counters |
| 45 |
|
| 46 |
INTEGER i, j, bi, bj |
| 47 |
C number of surface interface layer |
| 48 |
INTEGER kSurface |
| 49 |
|
| 50 |
C constants |
| 51 |
_RL TBC, salinity_ice, SDF, ICE2SNOW,TMELT |
| 52 |
|
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#ifdef ALLOW_SEAICE_FLOODING |
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_RL hDraft, hFlood |
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#endif /* ALLOW_SEAICE_FLOODING */ |
| 56 |
|
| 57 |
C QNETI - net surface heat flux under ice in W/m^2 |
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C QSWO - short wave heat flux over ocean in W/m^2 |
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C QSWI - short wave heat flux under ice in W/m^2 |
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|
| 61 |
_RL QNETI (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 62 |
_RL QSWO (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 63 |
_RL QSWI (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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_RL QSWO_IN_FIRST_LAYER |
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& (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL QSWO_BELOW_FIRST_LAYER |
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& (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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_RL QSW_absorb_in_ML (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL QSW_absorb_below_ML (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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C actual ice thickness with upper and lower limit |
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_RL HICE_ACTUAL (1-OLx:sNx+OLx, 1-OLy:sNy+OLy) |
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|
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C actual snow thickness |
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_RL HSNOW_ACTUAL(1-OLx:sNx+OLx, 1-OLy:sNy+OLy) |
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|
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C wind speed |
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_RL UG (1-OLx:sNx+OLx, 1-OLy:sNy+OLy) |
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_RL SPEED_SQ |
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|
| 83 |
C IAN |
| 84 |
_RL RHOI, RHOFW,CPW,LI,QI,QS,GAMMAT,GAMMA,RHOSW,RHOSN |
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_RL FL_C1,FL_C2,FL_C3,FL_C4,deltaHS,deltaHI |
| 86 |
|
| 87 |
_RL NetExistingIceGrowthRate (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 88 |
_RL IceGrowthRateUnderExistingIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 89 |
_RL IceGrowthRateFromSurface (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL IceGrowthRateOpenWater (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL IceGrowthRateMixedLayer (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL S_a_from_IGROW (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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_RL PredTempChange |
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& (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL PredTempChangeFromQSW |
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& (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL PredTempChangeFromOA_MQNET |
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& (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL PredTempChangeFromFIA |
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& (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL PredTempChangeFromNewIceVol |
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& (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL PredTempChangeFromF_IA_NET |
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& (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL PredTempChangeFromF_IO_NET |
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& (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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_RL ExpectedIceVolumeChange (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL ExpectedSnowVolumeChange (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL ActualNewTotalVolumeChange(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL ActualNewTotalSnowMelt(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 113 |
|
| 114 |
_RL EnergyInNewTotalIceVolume (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL NetEnergyFluxOutOfSystem (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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_RL ResidualHeatOutOfSystem (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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_RL SnowAccRateOverIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL SmowAccOverIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL PrecipRateOverIceSurfaceToSea (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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_RL PotSnowMeltRateFromSurf (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL PotSnowMeltFromSurf (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL SnowMeltFromSurface (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL SnowMeltRateFromSurface (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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_RL FreshwaterContribFromSnowMelt (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL FreshwaterContribFromIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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_RL SurfHeatFluxConvergToSnowMelt (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL EnergyToMeltSnowAndIce (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL EnergyToMeltSnowAndIce2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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C dA/dt = S_a |
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_RL S_a (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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C dh/dt = S_h |
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_RL S_h (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL S_hsnow (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL HSNOW_ORIG (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
| 142 |
C F_ia - heat flux from ice to atmosphere (W/m^2) |
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C >0 causes ice growth, <0 causes snow and sea ice melt |
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_RL F_ia (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL F_ia_net (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL F_ia_net_before_snow (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL F_io_net (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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C F_ao - heat flux from atmosphere to ocean (W/m^2) |
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_RL F_ao (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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C F_mi - heat flux from mixed layer to ice (W/m^2) |
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_RL F_mi (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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c the theta to use for the calculation of mixed layer-> ice heat fluxes |
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_RL surf_theta |
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|
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_RL FLUX_TO_DELTA_TEMP,ENERGY_TO_DELTA_TEMP |
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|
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if ( buoyancyRelation .eq. 'OCEANICP' ) then |
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kSurface = Nr |
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else |
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kSurface = 1 |
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endif |
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|
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FLUX_TO_DELTA_TEMP = SEAICE_deltaTtherm* |
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& recip_Cp*recip_rhoConst * recip_drF(1) |
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|
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ENERGY_TO_DELTA_TEMP = recip_Cp*recip_rhoConst*recip_drF(1) |
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|
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C ICE SALINITY (g/kg) |
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salinity_ice = 4.0 |
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|
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C FREEZING TEMP. OF SEA WATER (deg C) |
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TBC = SEAICE_freeze |
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|
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C FREEZING POINT OF FRESHWATER |
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TMELT = 273.15 |
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|
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C IAN |
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|
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c Sea ice density (kg m^-3) |
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RHOI = 917.0 |
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|
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c Seawater density (kg m^-3) |
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RHOSW = 1026.0 |
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|
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c Freshwater density (KG M^-3) |
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RHOFW = 1000.0 |
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|
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C Snow density |
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RHOSN = SEAICE_rhoSnow |
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|
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C Heat capacity of seawater (J m^-3 K^-1) |
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CPW = 4010.0 |
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|
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c latent heat of fusion for ice (J kg^-1) |
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LI = 3.340e5 |
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c conversion between Joules and m^3 of ice (m^3) |
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QI = 1/rhoi/Li |
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QS = 1/RHOSN/Li |
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|
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c FOR FLOODING |
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FL_C2 = RHOI/RHOSW |
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CMM4IF FL_C2 = RHOSN/RHOSW |
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FL_C3 = (RHOSW-RHOI)/RHOSN |
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FL_C4 = RHOSN/RHOI |
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|
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c Timescale for melting of ice from a warm ML (3 days in seconds) |
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c Damping term for mixed layer heat to melt existing ice |
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GAMMA = dRf(1)/SEAICE_gamma_t |
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|
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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c |
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#ifdef ALLOW_AUTODIFF_TAMC |
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act1 = bi - myBxLo(myThid) |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
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act2 = bj - myByLo(myThid) |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
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act3 = myThid - 1 |
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max3 = nTx*nTy |
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act4 = ikey_dynamics - 1 |
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iicekey = (act1 + 1) + act2*max1 |
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& + act3*max1*max2 |
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& + act4*max1*max2*max3 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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C |
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C initialise a few fields |
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C |
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#ifdef ALLOW_AUTODIFF_TAMC |
| 232 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, |
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CADJ & key = iicekey, byte = isbyte |
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CADJ STORE qnet(:,:,bi,bj) = comlev1_bibj, |
| 235 |
CADJ & key = iicekey, byte = isbyte |
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CADJ STORE qsw(:,:,bi,bj) = comlev1_bibj, |
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CADJ & key = iicekey, byte = isbyte |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO J=1,sNy |
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DO I=1,sNx |
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F_ia_net (I,J) = 0.0 |
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F_ia_net_before_snow(I,J) = 0.0 |
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F_io_net (I,J) = 0.0 |
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|
| 245 |
F_ia (I,J) = 0.0 |
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F_ao (I,J) = 0.0 |
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F_mi (I,J) = 0.0 |
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|
| 249 |
QNETI(I,J) = 0.0 |
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QSWO (I,J) = 0.0 |
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QSWI (I,J) = 0.0 |
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|
| 253 |
QSWO_BELOW_FIRST_LAYER (I,J) = 0.0 |
| 254 |
QSWO_IN_FIRST_LAYER (I,J) = 0.0 |
| 255 |
|
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S_a (I,J) = 0.0 |
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S_h (I,J) = 0.0 |
| 258 |
|
| 259 |
IceGrowthRateUnderExistingIce (I,J) = 0.0 |
| 260 |
IceGrowthRateFromSurface (I,J) = 0.0 |
| 261 |
NetExistingIceGrowthRate (I,J) = 0.0 |
| 262 |
S_a_from_IGROW (I,J) = 0.0 |
| 263 |
|
| 264 |
PredTempChange (I,J) = 0.0 |
| 265 |
PredTempChangeFromQSW (I,J) = 0.0 |
| 266 |
PredTempChangeFromOA_MQNET (I,J) = 0.0 |
| 267 |
PredTempChangeFromFIA (I,J) = 0.0 |
| 268 |
PredTempChangeFromF_IA_NET (I,J) = 0.0 |
| 269 |
PredTempChangeFromF_IO_NET (I,J) = 0.0 |
| 270 |
PredTempChangeFromNewIceVol (I,J) = 0.0 |
| 271 |
|
| 272 |
IceGrowthRateOpenWater (I,J) = 0.0 |
| 273 |
IceGrowthRateMixedLayer (I,J) = 0.0 |
| 274 |
|
| 275 |
ExpectedIceVolumeChange (I,J) = 0.0 |
| 276 |
ExpectedSnowVolumeChange (I,J) = 0.0 |
| 277 |
ActualNewTotalVolumeChange (I,J) = 0.0 |
| 278 |
ActualNewTotalSnowMelt (I,J) = 0.0 |
| 279 |
|
| 280 |
EnergyInNewTotalIceVolume (I,J) = 0.0 |
| 281 |
NetEnergyFluxOutOfSystem (I,J) = 0.0 |
| 282 |
ResidualHeatOutOfSystem (I,J) = 0.0 |
| 283 |
QSW_absorb_in_ML (I,J) = 0.0 |
| 284 |
QSW_absorb_below_ML (I,J) = 0.0 |
| 285 |
|
| 286 |
SnowAccRateOverIce (I,J) = 0.0 |
| 287 |
SmowAccOverIce (I,J) = 0.0 |
| 288 |
PrecipRateOverIceSurfaceToSea (I,J) = 0.0 |
| 289 |
|
| 290 |
PotSnowMeltRateFromSurf (I,J) = 0.0 |
| 291 |
PotSnowMeltFromSurf (I,J) = 0.0 |
| 292 |
SnowMeltFromSurface (I,J) = 0.0 |
| 293 |
SnowMeltRateFromSurface (I,J) = 0.0 |
| 294 |
SurfHeatFluxConvergToSnowMelt (I,J) = 0.0 |
| 295 |
|
| 296 |
FreshwaterContribFromSnowMelt (I,J) = 0.0 |
| 297 |
FreshwaterContribFromIce (I,J) = 0.0 |
| 298 |
|
| 299 |
c the post sea ice advection and diffusion ice state are in time level 1. |
| 300 |
c move these to the time level 2 before thermo. after this routine |
| 301 |
c the updated ice state will be in time level 1 again. (except for snow |
| 302 |
c which does not have 3 time levels for some reason) |
| 303 |
HEFFNm1(I,J,bi,bj) = HEFF(I,J,bi,bj) |
| 304 |
AREANm1(I,J,bi,bj) = AREA(I,J,bi,bj) |
| 305 |
|
| 306 |
ENDDO |
| 307 |
ENDDO |
| 308 |
|
| 309 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 310 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, |
| 311 |
CADJ & key = iicekey, byte = isbyte |
| 312 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, |
| 313 |
CADJ & key = iicekey, byte = isbyte |
| 314 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 315 |
CADJ & key = iicekey, byte = isbyte |
| 316 |
CADJ STORE tice(:,:,bi,bj) = comlev1_bibj, |
| 317 |
CADJ & key = iicekey, byte = isbyte |
| 318 |
CADJ STORE precip(:,:,bi,bj) = comlev1_bibj, |
| 319 |
CADJ & key = iicekey, byte = isbyte |
| 320 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 321 |
|
| 322 |
DO J=1,sNy |
| 323 |
DO I=1,sNx |
| 324 |
C WE HAVE TO BE CAREFUL HERE SINCE ADVECTION/DIFFUSION COULD HAVE |
| 325 |
C MAKE EITHER (BUT NOT BOTH) HEFF OR AREA ZERO OR NEGATIVE |
| 326 |
C HSNOW COULD ALSO BECOME NEGATIVE |
| 327 |
HEFFNm1(I,J,bi,bj) = MAX(0. _d 0,HEFFNm1(I,J,bi,bj)) |
| 328 |
HSNOW(I,J,bi,bj) = MAX(0. _d 0,HSNOW(I,J,bi,bj) ) |
| 329 |
AREANm1(I,J,bi,bj) = MAX(0. _d 0,AREANm1(I,J,bi,bj)) |
| 330 |
cif this is hack to prevent negative precip. somehow negative precips |
| 331 |
cif escapes my exf_checkrange hack |
| 332 |
cph-checkthis |
| 333 |
IF (PRECIP(I,J,bi,bj) .LT. 0.0 _d 0) THEN |
| 334 |
PRECIP(I,J,bi,bj) = 0.0 _d 0 |
| 335 |
ENDIF |
| 336 |
ENDDO |
| 337 |
ENDDO |
| 338 |
|
| 339 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 340 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, |
| 341 |
CADJ & key = iicekey, byte = isbyte |
| 342 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, |
| 343 |
CADJ & key = iicekey, byte = isbyte |
| 344 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 345 |
CADJ & key = iicekey, byte = isbyte |
| 346 |
CADJ STORE precip(:,:,bi,bj) = comlev1_bibj, |
| 347 |
CADJ & key = iicekey, byte = isbyte |
| 348 |
#endif |
| 349 |
DO J=1,sNy |
| 350 |
DO I=1,sNx |
| 351 |
|
| 352 |
IF (HEFFNm1(I,J,bi,bj) .EQ. 0.0) THEN |
| 353 |
AREANm1(I,J,bi,bj) = 0.0 _d 0 |
| 354 |
HSNOW(I,J,bi,bj) = 0.0 _d 0 |
| 355 |
ENDIF |
| 356 |
|
| 357 |
IF (AREANm1(I,J,bi,bj) .EQ. 0.0) THEN |
| 358 |
HEFFNm1(I,J,bi,bj) = 0.0 _d 0 |
| 359 |
HSNOW(I,J,bi,bj) = 0.0 _d 0 |
| 360 |
ENDIF |
| 361 |
|
| 362 |
C PROCEED ONLY IF WE ARE CERTAIN TO HAVE ICE (AREA > 0) |
| 363 |
|
| 364 |
IF (AREANm1(I,J,bi,bj) .GT. 0.) THEN |
| 365 |
HICE_ACTUAL(I,J) = |
| 366 |
& HEFFNm1(I,J,bi,bj)/AREANm1(I,J,bi,bj) |
| 367 |
|
| 368 |
HSNOW_ACTUAL(I,J) = HSNOW(I,J,bi,bj)/ |
| 369 |
& AREANm1(I,J,bi,bj) |
| 370 |
|
| 371 |
c ACCUMULATE SNOW |
| 372 |
c Is the ice/surface below freezing or at the freezing |
| 373 |
c point (melting). If it is freezing the precip is |
| 374 |
c felt as snow and will accumulate over the ice. Else, |
| 375 |
c precip makes its way, like all things in time, to the sea. |
| 376 |
IF (TICE(I,J,bi,bj) .LT. TMELT) THEN |
| 377 |
c Snow falls onto freezing surface remaining as snow |
| 378 |
SnowAccRateOverIce(I,J) = |
| 379 |
& PRECIP(I,J,bi,bj)*RHOFW/RHOSN |
| 380 |
|
| 381 |
c None of the precipitation falls into the sea |
| 382 |
PrecipRateOverIceSurfaceToSea(I,J) = 0.0 |
| 383 |
|
| 384 |
ELSE |
| 385 |
c The snow melts on impact is is considered |
| 386 |
c nothing more than rain. Since meltponds are |
| 387 |
c not explicitly represented,this rain runs |
| 388 |
c immediately into the sea |
| 389 |
|
| 390 |
SnowAccRateOverIce(I,J) = 0.0 |
| 391 |
C The rate of rainfall over melting ice. |
| 392 |
PrecipRateOverIceSurfaceToSea(I,J)= |
| 393 |
& PRECIP(I,J,bi,bj) |
| 394 |
ENDIF |
| 395 |
|
| 396 |
c In m of mean snow thickness. |
| 397 |
SmowAccOverIce(I,J) = |
| 398 |
& SnowAccRateOverIce(I,J) |
| 399 |
& *SEAICE_deltaTtherm*AreaNm1(I,J,bi,bj) |
| 400 |
|
| 401 |
ELSE |
| 402 |
HEFFNm1(I,J,bi,bj) = 0.0 |
| 403 |
HICE_ACTUAL(I,J) = 0.0 |
| 404 |
HSNOW_ACTUAL(I,J) = 0.0 |
| 405 |
HSNOW(I,J,bi,bj) = 0.0 |
| 406 |
ENDIF |
| 407 |
HSNOW_ORIG(I,J) = HSNOW(I,J,bi,bj) |
| 408 |
ENDDO |
| 409 |
ENDDO |
| 410 |
|
| 411 |
C FIND ATM. WIND SPEED |
| 412 |
DO J=1,sNy |
| 413 |
DO I=1,sNx |
| 414 |
#ifdef SEAICE_EXTERNAL_FORCING |
| 415 |
c USE EXF PACKAGE |
| 416 |
UG(I,J) = MAX(SEAICE_EPS,wspeed(I,J,bi,bj)) |
| 417 |
#else |
| 418 |
C CALCULATE IT HERE |
| 419 |
SPEED_SQ = UWIND(I,J,bi,bj)**2 + VWIND(I,J,bi,bj)**2 |
| 420 |
IF ( SPEED_SQ .LE. SEAICE_EPS_SQ ) THEN |
| 421 |
UG(I,J)=SEAICE_EPS |
| 422 |
ELSE |
| 423 |
UG(I,J)=SQRT(SPEED_SQ) |
| 424 |
ENDIF |
| 425 |
#endif /* SEAICE_EXTERNAL_FORCING */ |
| 426 |
ENDDO |
| 427 |
ENDDO |
| 428 |
|
| 429 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 430 |
cphCADJ STORE heff = comlev1, key = ikey_dynamics |
| 431 |
cphCADJ STORE hsnow = comlev1, key = ikey_dynamics |
| 432 |
cphCADJ STORE uwind = comlev1, key = ikey_dynamics |
| 433 |
cphCADJ STORE vwind = comlev1, key = ikey_dynamics |
| 434 |
CADJ STORE tice = comlev1, key = ikey_dynamics |
| 435 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 436 |
|
| 437 |
C SET LAYER TEMPERATURE IN KELVIN |
| 438 |
DO J=1,sNy |
| 439 |
DO I=1,sNx |
| 440 |
TMIX(I,J,bi,bj)= |
| 441 |
& theta(I,J,kSurface,bi,bj) + TMELT |
| 442 |
ENDDO |
| 443 |
ENDDO |
| 444 |
|
| 445 |
C NOW DO ICE |
| 446 |
|
| 447 |
CALL SEAICE_BUDGET_ICE_IF( |
| 448 |
I UG, HICE_ACTUAL, HSNOW_ACTUAL, |
| 449 |
U TICE, |
| 450 |
O F_io_net,F_ia_net,F_ia, QSWI, |
| 451 |
I bi, bj) |
| 452 |
|
| 453 |
C Sometimes it's nice to have a setup without ice-atmosphere heat |
| 454 |
C fluxes. This flag turns those fluxes to zero but leaves the |
| 455 |
C Ice ocean fluxes intact. Thus, the first oceanic cell can transfer |
| 456 |
C heat to the ice leading to melting in F_ml and it can release |
| 457 |
C heat to the atmosphere through leads and open area thus growing it in |
| 458 |
C F_ao |
| 459 |
|
| 460 |
#ifdef FORBID_ICE_SURFACE_ATMOSPHERE_HEAT_FLUXES |
| 461 |
DO J=1,sNy |
| 462 |
DO I=1,sNx |
| 463 |
F_ia_net (I,J) = 0.0 |
| 464 |
F_ia (I,J) = 0.0 |
| 465 |
F_io_net(I,J) = 0.0 |
| 466 |
ENDDO |
| 467 |
ENDDO |
| 468 |
#endif |
| 469 |
|
| 470 |
C-- NET HEAT FLUX TO ICE FROM MIXED LAYER (POSITIVE MEANS NET OUT) |
| 471 |
DO J=1,sNy |
| 472 |
DO I=1,sNx |
| 473 |
|
| 474 |
#ifdef SEAICE_DEBUG |
| 475 |
IF ( (I .EQ. SEAICE_debugPointX) .and. |
| 476 |
& (J .EQ. SEAICE_debugPointY) ) THEN |
| 477 |
|
| 478 |
print *,'sig: I,J,F_ia,F_ia_net',I,J,F_ia(I,J), |
| 479 |
& F_ia_net(I,J) |
| 480 |
|
| 481 |
ENDIF |
| 482 |
#endif |
| 483 |
|
| 484 |
F_ia_net_before_snow(I,J) = F_ia_net(I,J) |
| 485 |
|
| 486 |
IF (AreaNm1(I,J,bi,bj)*HEFFNm1(I,J,bi,bj).LE.0.) THEN |
| 487 |
IceGrowthRateUnderExistingIce(I,J) = 0.0 |
| 488 |
IceGrowthRateFromSurface(I,J) = 0.0 |
| 489 |
NetExistingIceGrowthRate(I,J) = 0.0 |
| 490 |
ELSE |
| 491 |
c The growth rate under existing ice is given by the upward |
| 492 |
c ocean-ice conductive flux, F_io_net, and QI, which converts |
| 493 |
c Joules to meters of ice. This quantity has units of meters |
| 494 |
c of ice per second. |
| 495 |
IceGrowthRateUnderExistingIce(I,J)=F_io_net(I,J)*QI |
| 496 |
|
| 497 |
c Snow/Ice surface heat convergence is first used to melt |
| 498 |
c snow. If all of this heat convergence went into melting |
| 499 |
c snow, this is the rate at which it would do it |
| 500 |
c F_ia_net must be negative, -> PSMRFW is positive for melting |
| 501 |
PotSnowMeltRateFromSurf(I,J)= - F_ia_net(I,J)*QS |
| 502 |
|
| 503 |
c This is the depth of snow that would be melted at this rate |
| 504 |
c and the seaice delta t. In meters of snow. |
| 505 |
PotSnowMeltFromSurf(I,J) = |
| 506 |
& PotSnowMeltRateFromSurf(I,J)* SEAICE_deltaTtherm |
| 507 |
|
| 508 |
c If we can melt MORE than is actually there, then we will |
| 509 |
c reduce the melt rate so that only that which is there |
| 510 |
c is melted in one time step. In this case not all of the |
| 511 |
c heat flux convergence at the surface is used to melt snow, |
| 512 |
c The leftover energy is going to melt ice. |
| 513 |
c SurfHeatFluxConvergToSnowMelt is the part of the total heat |
| 514 |
c flux convergence going to melt snow. |
| 515 |
|
| 516 |
IF (PotSnowMeltFromSurf(I,J) .GE. |
| 517 |
& HSNOW_ACTUAL(I,J)) THEN |
| 518 |
c Snow melt and melt rate in actual snow thickness. |
| 519 |
SnowMeltFromSurface(I,J) = HSNOW_ACTUAL(I,J) |
| 520 |
|
| 521 |
SnowMeltRateFromSurface(I,J) = |
| 522 |
& SnowMeltFromSurface(I,J)/ SEAICE_deltaTtherm |
| 523 |
|
| 524 |
c Since F_ia_net is focused only over ice, its reduction |
| 525 |
c requires knowing how much snow is actually melted |
| 526 |
SurfHeatFluxConvergToSnowMelt(I,J) = |
| 527 |
& -HSNOW_ACTUAL(I,J)/QS/SEAICE_deltaTtherm |
| 528 |
ELSE |
| 529 |
c In this case there will be snow remaining after melting. |
| 530 |
c All of the surface heat convergence will be redirected to |
| 531 |
c this effort. |
| 532 |
SnowMeltFromSurface(I,J)=PotSnowMeltFromSurf(I,J) |
| 533 |
|
| 534 |
SnowMeltRateFromSurface(I,J) = |
| 535 |
& PotSnowMeltRateFromSurf(I,J) |
| 536 |
|
| 537 |
SurfHeatFluxConvergToSnowMelt(I,J) =F_ia_net(I,J) |
| 538 |
ENDIF |
| 539 |
|
| 540 |
c Reduce the heat flux convergence available to melt surface |
| 541 |
c ice by the amount used to melt snow |
| 542 |
F_ia_net(I,J) = |
| 543 |
& F_ia_net(I,J)-SurfHeatFluxConvergToSnowMelt(I,J) |
| 544 |
|
| 545 |
IceGrowthRateFromSurface(I,J) = F_ia_net(I,J)*QI |
| 546 |
|
| 547 |
NetExistingIceGrowthRate(I,J) = |
| 548 |
& IceGrowthRateUnderExistingIce(I,J) + |
| 549 |
& IceGrowthRateFromSurface(I,J) |
| 550 |
ENDIF |
| 551 |
ENDDO |
| 552 |
ENDDO |
| 553 |
|
| 554 |
c HERE WE WILL MELT SNOW AND ADJUST NET EXISTING ICE GROWTH RATE |
| 555 |
C TO REFLECT REDUCTION IN SEA ICE MELT. |
| 556 |
|
| 557 |
C NOW DETERMINE GROWTH RATES |
| 558 |
C FIRST DO OPEN WATER |
| 559 |
CALL SEAICE_BUDGET_OCEAN_IF( |
| 560 |
I UG, |
| 561 |
U TMIX, |
| 562 |
O F_ao, QSWO, |
| 563 |
I bi, bj, myThid ) |
| 564 |
|
| 565 |
#ifdef SEAICE_DEBUG |
| 566 |
print *,'myiter', myIter |
| 567 |
print '(A,2i4,2(1x,1P2E15.3))', |
| 568 |
& 'ifice sigr, dbgx,dby, (netHF, SWHeatFlux)', |
| 569 |
& SEAICE_debugPointX, SEAICE_debugPointY, |
| 570 |
& F_ao(SEAICE_debugPointX, SEAICE_debugPointY), |
| 571 |
& QSWO(SEAICE_debugPointX, SEAICE_debugPointY) |
| 572 |
#endif |
| 573 |
|
| 574 |
|
| 575 |
C-- NET HEAT FLUX TO ICE FROM MIXED LAYER (POSITIVE MEANS NET OUT) |
| 576 |
c-- not all of the sw radiation is absorbed in the first layer, only that |
| 577 |
c which is absorbed melts ice. SWFRACB is calculated in seaice_init_vari.F |
| 578 |
DO J=1,sNy |
| 579 |
DO I=1,sNx |
| 580 |
|
| 581 |
c The contribution of shortwave heating is |
| 582 |
c not included without SHORTWAVE_HEATING |
| 583 |
#ifdef SHORTWAVE_HEATING |
| 584 |
QSWO_BELOW_FIRST_LAYER(i,j)= QSWO(I,J)*SWFRACB |
| 585 |
QSWO_IN_FIRST_LAYER(I,J) = QSWO(I,J)*(1.0 - SWFRACB) |
| 586 |
#else |
| 587 |
QSWO_BELOW_FIRST_LAYER(i,j)= 0. _d 0 |
| 588 |
QSWO_IN_FIRST_LAYER(I,J) = 0. _d 0 |
| 589 |
#endif |
| 590 |
IceGrowthRateOpenWater(I,J)= QI* |
| 591 |
& (F_ao(I,J) - QSWO(I,J) + QSWO_IN_FIRST_LAYER(I,J)) |
| 592 |
|
| 593 |
ENDDO |
| 594 |
ENDDO |
| 595 |
|
| 596 |
|
| 597 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 598 |
CADJ STORE theta(:,:,:,bi,bj)= comlev1_bibj, |
| 599 |
CADJ & key = iicekey, byte = isbyte |
| 600 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, |
| 601 |
CADJ & key = iicekey, byte = isbyte |
| 602 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 603 |
|
| 604 |
|
| 605 |
C-- NET HEAT FLUX TO ICE FROM MIXED LAYER (POSITIVE MEANS FLUX INTO ICE |
| 606 |
C AND MELTING) |
| 607 |
DO J=1,sNy |
| 608 |
DO I=1,sNx |
| 609 |
|
| 610 |
C FIND THE FREEZING POINT OF SEAWATER IN THIS CELL |
| 611 |
#ifdef SEAICE_VARIABLE_FREEZING_POINT |
| 612 |
TBC = -0.0575 _d 0*salt(I,J,kSurface,bi,bj) + |
| 613 |
& 0.0901 _d 0 |
| 614 |
#endif /* SEAICE_VARIABLE_FREEZING_POINT */ |
| 615 |
|
| 616 |
c example: theta(i,j,ksurf) = 0, tbc = -2, |
| 617 |
c fmi = -gamm*rhocpw * (0-(-2)) = - 2 * gamm * rhocpw, |
| 618 |
c a NEGATIVE number. Heat flux INTO ice. |
| 619 |
|
| 620 |
c It is fantastic that the model frequently generates thetas less |
| 621 |
c then the freezing point. Just fantastic. When this happens, |
| 622 |
c throw your hands up into the air, shut off the mixed layer |
| 623 |
c heat flux, and hope for the best. |
| 624 |
surf_theta = max(theta(I,J,kSurface,bi,bj), TBC) |
| 625 |
|
| 626 |
F_mi(I,J) = -GAMMA*RHOSW*CPW *(surf_theta - TBC) |
| 627 |
|
| 628 |
IceGrowthRateMixedLayer(I,J) = F_mi(I,J)*QI |
| 629 |
ENDDO |
| 630 |
ENDDO |
| 631 |
|
| 632 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 633 |
CADJ STORE S_h(:,:) = comlev1_bibj, |
| 634 |
CADJ & key = iicekey, byte = isbyte |
| 635 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 636 |
|
| 637 |
C CALCULATE THICKNESS DERIVATIVE (S_h) |
| 638 |
DO J=1,sNy |
| 639 |
DO I=1,sNx |
| 640 |
S_h(I,J) = |
| 641 |
& NetExistingIceGrowthRate(I,J)*AREANm1(I,J,bi,bj)+ |
| 642 |
& (1. -AREANm1(I,J,bi,bj))* |
| 643 |
& IceGrowthRateOpenWater(I,J) + |
| 644 |
& IceGrowthRateMixedLayer(I,J) |
| 645 |
|
| 646 |
c Both the accumulation and melt rates are in terms |
| 647 |
c of actual snow thickness. As with ice, multiplying |
| 648 |
c with area converts to mean snow thickness. |
| 649 |
S_hsnow(I,J) = AREANm1(I,J,bi,bj)* ( |
| 650 |
& SnowAccRateOverIce(I,J) - |
| 651 |
& SnowMeltRateFromSurface(I,J) ) |
| 652 |
ENDDO |
| 653 |
ENDDO |
| 654 |
|
| 655 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 656 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, |
| 657 |
CADJ & key = iicekey, byte = isbyte |
| 658 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, |
| 659 |
CADJ & key = iicekey, byte = isbyte |
| 660 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 661 |
CADJ & key = iicekey, byte = isbyte |
| 662 |
CADJ STORE S_h(:,:) = comlev1_bibj, |
| 663 |
CADJ & key = iicekey, byte = isbyte |
| 664 |
CADJ STORE S_hsnow(:,:) = comlev1_bibj, |
| 665 |
CADJ & key = iicekey, byte = isbyte |
| 666 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 667 |
|
| 668 |
DO J=1,sNy |
| 669 |
DO I=1,sNx |
| 670 |
S_a(I,J) = 0.0 |
| 671 |
C IF THE OPEN WATER GROWTH RATE IS POSITIVE |
| 672 |
C THEN EXTEND ICE AREAL COVER, S_a > 0 |
| 673 |
|
| 674 |
C TWO CASES, IF THERE IS ALREADY ICE PRESENT THEN EXTEND THE AREA USING THE |
| 675 |
C OPEN WATER GROWTH RATE. IF THERE IS NO ICE PRESENT DO NOT EXTEND THE ICE |
| 676 |
C UNTIL THE NET ICE THICKNESS RATE IS POSITIVE. I.E. IF THE MIXED LAYER |
| 677 |
C HEAT FLUX INTO THE NEW ICE IS ENOUGH TO IMMEDIATELY MELT IT, DO NOT GROW |
| 678 |
C IT. |
| 679 |
IF (IceGrowthRateOpenWater(I,J) .GT. 0) THEN |
| 680 |
IF ( YC(I,J,bi,bj) .LT. ZERO ) THEN |
| 681 |
S_a_from_IGROW(I,J) = (ONE-AREANm1(I,J,bi,bj))* |
| 682 |
& IceGrowthRateOpenWater(I,J)/HO_south |
| 683 |
ELSE |
| 684 |
S_a_from_IGROW(I,J) = (ONE-AREANm1(I,J,bi,bj))* |
| 685 |
& IceGrowthRateOpenWater(I,J)/HO |
| 686 |
ENDIF |
| 687 |
|
| 688 |
IF (AREANm1(I,J,bi,bj) .GT. 0.) THEN |
| 689 |
S_a(I,J) = S_a(I,J) + S_a_from_IGROW(I,J) |
| 690 |
ELSE |
| 691 |
IF (S_h(I,J) .GT. 0) THEN |
| 692 |
S_a(I,J) = S_a(I,J) + S_a_from_IGROW(I,J) |
| 693 |
ENDIF |
| 694 |
ENDIF |
| 695 |
ENDIF |
| 696 |
|
| 697 |
C REDUCE THE ICE COVER IF ICE IS PRESENT |
| 698 |
IF ( (S_h(I,J) .LT. 0.) .AND. |
| 699 |
& (AREANm1(I,J,bi,bj).GT. 0.) .AND. |
| 700 |
& (HEFFNm1(I,J,bi,bj).NE. 0.) ) THEN |
| 701 |
|
| 702 |
S_a(I,J) = S_a(I,J) |
| 703 |
& + AREANm1(I,J,bi,bj)/(2.0*HEFFNm1(I,J,bi,bj))* |
| 704 |
& IceGrowthRateOpenWater(I,J)* |
| 705 |
& (1-AREANm1(I,J,bi,bj)) |
| 706 |
ELSE |
| 707 |
S_a(I,J) = S_a(I,J) + 0.0 |
| 708 |
ENDIF |
| 709 |
|
| 710 |
C REDUCE THE ICE COVER IF ICE IS PRESENT |
| 711 |
IF ( (IceGrowthRateMixedLayer(I,J) .LE. 0.) .AND. |
| 712 |
& (AREANm1(I,J,bi,bj).GT. 0.) .AND. |
| 713 |
& (HEFFNm1(I,J,bi,bj).NE. 0.) ) THEN |
| 714 |
|
| 715 |
S_a(I,J) = S_a(I,J) |
| 716 |
& + AREANm1(I,J,bi,bj)/(2.0*HEFFNm1(I,J,bi,bj))* |
| 717 |
& IceGrowthRateMixedLayer(I,J) |
| 718 |
|
| 719 |
ELSE |
| 720 |
S_a(I,J) = S_a(I,J) + 0.0 |
| 721 |
ENDIF |
| 722 |
|
| 723 |
C REDUCE THE ICE COVER IF ICE IS PRESENT |
| 724 |
IF ( (NetExistingIceGrowthRate(I,J) .LE. 0.) .AND. |
| 725 |
& (AREANm1(I,J,bi,bj).GT. 0.) .AND. |
| 726 |
& (HEFFNm1(I,J,bi,bj).NE. 0.) ) THEN |
| 727 |
|
| 728 |
S_a(I,J) = S_a(I,J) |
| 729 |
& + AREANm1(I,J,bi,bj)/(2.0*HEFFNm1(I,J,bi,bj))* |
| 730 |
& NetExistingIceGrowthRate(I,J)*AREANm1(I,J,bi,bj) |
| 731 |
|
| 732 |
ELSE |
| 733 |
S_a(I,J) = S_a(I,J) + 0.0 |
| 734 |
ENDIF |
| 735 |
|
| 736 |
ENDDO |
| 737 |
ENDDO |
| 738 |
|
| 739 |
|
| 740 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 741 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, |
| 742 |
CADJ & key = iicekey, byte = isbyte |
| 743 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 744 |
CADJ & key = iicekey, byte = isbyte |
| 745 |
CADJ STORE S_a(:,:) = comlev1_bibj, |
| 746 |
CADJ & key = iicekey, byte = isbyte |
| 747 |
CADJ STORE S_h(:,:) = comlev1_bibj, |
| 748 |
CADJ & key = iicekey, byte = isbyte |
| 749 |
CADJ STORE f_ao(:,:) = comlev1_bibj, |
| 750 |
CADJ & key = iicekey, byte = isbyte |
| 751 |
CADJ STORE qswi(:,:) = comlev1_bibj, |
| 752 |
CADJ & key = iicekey, byte = isbyte |
| 753 |
CADJ STORE qswo(:,:) = comlev1_bibj, |
| 754 |
CADJ & key = iicekey, byte = isbyte |
| 755 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, |
| 756 |
CADJ & key = iicekey, byte = isbyte |
| 757 |
#endif |
| 758 |
|
| 759 |
C ACTUALLY CHANGE THE AREA AND THICKNESS |
| 760 |
DO J=1,sNy |
| 761 |
DO I=1,sNx |
| 762 |
AREA(I,J,bi,bj) = AREANm1(I,J,bi,bj) + |
| 763 |
& SEAICE_deltaTtherm * S_a(I,J) |
| 764 |
HEFF(I,J,bi,bj) = HEFFNm1(I,J,bi,bj) + |
| 765 |
& SEAICE_deltaTTherm * S_h(I,J) |
| 766 |
HSNOW(I,J,bi,bj) = HSNOW(I,J,bi,bj) + |
| 767 |
& SEAICE_deltaTTherm * S_hsnow(I,J) |
| 768 |
ENDDO |
| 769 |
ENDDO |
| 770 |
|
| 771 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 772 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, |
| 773 |
CADJ & key = iicekey, byte = isbyte |
| 774 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, |
| 775 |
CADJ & key = iicekey, byte = isbyte |
| 776 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 777 |
CADJ & key = iicekey, byte = isbyte |
| 778 |
#endif |
| 779 |
|
| 780 |
DO J=1,sNy |
| 781 |
DO I=1,sNx |
| 782 |
C SET LIMIT ON AREA etc. |
| 783 |
AREA(I,J,bi,bj) = MIN(1. _d 0,AREA(I,J,bi,bj)) |
| 784 |
AREA(I,J,bi,bj) = MAX(0. _d 0,AREA(I,J,bi,bj)) |
| 785 |
HEFF(I,J,bi,bj) = MAX(0. _d 0, HEFF(I,J,bi,bj)) |
| 786 |
HSNOW(I,J,bi,bj) = MAX(0. _d 0, HSNOW(I,J,bi,bj)) |
| 787 |
ENDDO |
| 788 |
ENDDO |
| 789 |
|
| 790 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 791 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, |
| 792 |
CADJ & key = iicekey, byte = isbyte |
| 793 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, |
| 794 |
CADJ & key = iicekey, byte = isbyte |
| 795 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 796 |
CADJ & key = iicekey, byte = isbyte |
| 797 |
#endif |
| 798 |
|
| 799 |
DO J=1,sNy |
| 800 |
DO I=1,sNx |
| 801 |
IF (AREA(I,J,bi,bj) .GT. 0.0) THEN |
| 802 |
HICE_ACTUAL(I,J) = |
| 803 |
& HEFF(I,J,bi,bj)/AREA(I,J,bi,bj) |
| 804 |
HSNOW_ACTUAL(I,J) = |
| 805 |
& HSNOW(I,J,bi,bj)/AREA(I,J,bi,bj) |
| 806 |
ELSE |
| 807 |
HICE_ACTUAL(I,J) = 0.0 |
| 808 |
HSNOW_ACTUAL(I,J) = 0.0 |
| 809 |
ENDIF |
| 810 |
ENDDO |
| 811 |
ENDDO |
| 812 |
|
| 813 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 814 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, |
| 815 |
CADJ & key = iicekey, byte = isbyte |
| 816 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, |
| 817 |
CADJ & key = iicekey, byte = isbyte |
| 818 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 819 |
|
| 820 |
c constrain area is no thickness and vice versa. |
| 821 |
DO J=1,sNy |
| 822 |
DO I=1,sNx |
| 823 |
IF (HEFF(I,J,bi,bj) .LE. 0.0 .OR. |
| 824 |
& AREA(I,J,bi,bj) .LE. 0.0) THEN |
| 825 |
|
| 826 |
AREA(I,J,bi,bj) = 0.0 |
| 827 |
HEFF(I,J,bi,bj) = 0.0 |
| 828 |
HICE_ACTUAL(I,J) = 0.0 |
| 829 |
HSNOW(I,J,bi,bj) = 0.0 |
| 830 |
HSNOW_ACTUAL(I,J) = 0.0 |
| 831 |
ENDIF |
| 832 |
ENDDO |
| 833 |
ENDDO |
| 834 |
|
| 835 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 836 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, |
| 837 |
CADJ & key = iicekey, byte = isbyte |
| 838 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, |
| 839 |
CADJ & key = iicekey, byte = isbyte |
| 840 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 841 |
|
| 842 |
DO J=1,sNy |
| 843 |
DO I=1,sNx |
| 844 |
|
| 845 |
c The amount of new mean thickness we expect to grow |
| 846 |
ExpectedIceVolumeChange(I,J) = S_h(I,J) * |
| 847 |
& SEAICE_deltaTtherm |
| 848 |
|
| 849 |
ExpectedSnowVolumeChange(I,J) = S_hsnow(I,J)* |
| 850 |
& SEAICE_deltaTtherm |
| 851 |
|
| 852 |
c THE EFFECTIVE SHORTWAVE HEATING RATE |
| 853 |
#ifdef SHORTWAVE_HEATING |
| 854 |
QSW(I,J,bi,bj) = |
| 855 |
& QSWI(I,J) * ( AREANm1(I,J,bi,bj)) + |
| 856 |
& QSWO(I,J) * (1. - AREANm1(I,J,bi,bj)) |
| 857 |
#else |
| 858 |
QSW(I,J,bi,bj) = 0. _d 0 |
| 859 |
#endif |
| 860 |
|
| 861 |
ActualNewTotalVolumeChange(I,J) = |
| 862 |
& HEFF(I,J,bi,bj) - HEFFNm1(I,J,bi,bj) |
| 863 |
|
| 864 |
c The net average snow thickness melt that is actually realized. e.g. |
| 865 |
c hsnow_orig = 0.25 m (e.g. 1 m of ice over a cell 1/4 covered in snow) |
| 866 |
c hsnow_new = 0.20 m |
| 867 |
c snow accum = 0.05 m |
| 868 |
c melt = 0.25 + 0.05 - 0.2 = 0.1 m |
| 869 |
|
| 870 |
c since this is in mean snow thickness it might have been 0.4 of actual |
| 871 |
c snow thickness over the 1/4 of the cell which is ice covered. |
| 872 |
ActualNewTotalSnowMelt(I,J) = |
| 873 |
& HSNOW_ORIG(I,J) + |
| 874 |
& SmowAccOverIce(I,J) - |
| 875 |
& HSNOW(I,J,bi,bj) |
| 876 |
|
| 877 |
c The latent heat of fusion of the new ice |
| 878 |
EnergyInNewTotalIceVolume(I,J) = |
| 879 |
& ActualNewTotalVolumeChange(I,J)/QI |
| 880 |
|
| 881 |
c This is the net energy flux out of the ice+ocean system |
| 882 |
c Remember ----- |
| 883 |
c F_ia_net : 0 if under freezing conditions (F_c < 0) |
| 884 |
c The sum of the non-conductive surfice ice fluxes otherwise |
| 885 |
c |
| 886 |
c F_io_net : The conductive fluxes under freezing conditions (F_c < 0) |
| 887 |
c 0 under melting conditions (no energy flux from ice to |
| 888 |
c ocean) |
| 889 |
c |
| 890 |
c So if we are freezing, F_io_net is the conductive flux and there |
| 891 |
c is energy balance at ice surface, F_ia_net =0. If we are melting |
| 892 |
c There is a convergence of energy into the ice from above |
| 893 |
NetEnergyFluxOutOfSystem(I,J) = SEAICE_deltaTtherm * |
| 894 |
& (AREANm1(I,J,bi,bj) * |
| 895 |
& (F_ia_net(I,J) + F_io_net(I,J) + QSWI(I,J)) |
| 896 |
& + (1.0 - AREANm1(I,J,bi,bj)) * |
| 897 |
& F_ao(I,J)) |
| 898 |
|
| 899 |
c THE QUANTITY OF HEAT WHICH IS THE RESIDUAL TO THE QUANTITY OF |
| 900 |
c ML temperature. If the net energy flux is exactly balanced by the |
| 901 |
c latent energy of fusion in the new ice created then we won't |
| 902 |
c change the ML temperature at all. |
| 903 |
|
| 904 |
ResidualHeatOutOfSystem(I,J) = |
| 905 |
& NetEnergyFluxOutOfSystem(I,J) - |
| 906 |
& EnergyInNewTotalIceVolume(I,J) |
| 907 |
|
| 908 |
C NOW FORMULATE QNET, which time LEVEL, ORIG 2. |
| 909 |
C THIS QNET WILL DETERMINE THE TEMPERATURE CHANGE OF THE MIXED LAYER |
| 910 |
C QNET IS A DEPTH AVERAGED HEAT FLUX FOR THE OCEAN COLUMN |
| 911 |
C BECAUSE OF THE |
| 912 |
QNET(I,J,bi,bj) = |
| 913 |
& ResidualHeatOutOfSystem(I,J) / SEAICE_deltaTtherm |
| 914 |
|
| 915 |
|
| 916 |
c Like snow melt, if there is melting, this quantity is positive. |
| 917 |
c The change of freshwater content is per unit area over the entire |
| 918 |
c cell, not just over the ice covered bits. |
| 919 |
FreshwaterContribFromIce(I,J) = |
| 920 |
& -ActualNewTotalVolumeChange(I,J)*RHOI/RHOFW |
| 921 |
|
| 922 |
c The freshwater contribution from snow comes only in the form of melt |
| 923 |
c unlike ice, which takes freshwater upon growth and yields freshwater |
| 924 |
c upon melt. This is why the the actual new average snow melt was determined. |
| 925 |
c In m/m^2 over the entire cell. |
| 926 |
FreshwaterContribFromSnowMelt(I,J) = |
| 927 |
& ActualNewTotalSnowMelt(I,J)*RHOSN/RHOFW |
| 928 |
|
| 929 |
c This seems to be in m/s, original time level 2 for area |
| 930 |
c Only the precip and evap need to be area weighted. The runoff |
| 931 |
c and freshwater contribs from ice and snow melt are already mean |
| 932 |
c weighted |
| 933 |
EmPmR(I,J,bi,bj) = maskC(I,J,kSurface,bi,bj)*( |
| 934 |
& ( EVAP(I,J,bi,bj)-PRECIP(I,J,bi,bj) ) |
| 935 |
& * ( ONE - AREANm1(I,J,bi,bj) ) |
| 936 |
& - PrecipRateOverIceSurfaceToSea(I,J)* |
| 937 |
& AREANm1(I,J,bi,bj) |
| 938 |
#ifdef ALLOW_RUNOFF |
| 939 |
& - RUNOFF(I,J,bi,bj) |
| 940 |
#endif |
| 941 |
& - (FreshwaterContribFromIce(I,J) + |
| 942 |
& FreshwaterContribFromSnowMelt(I,J))/ |
| 943 |
& SEAICE_deltaTtherm )*rhoConstFresh |
| 944 |
|
| 945 |
C DO SOME DEBUGGING CALCULATIONS. MAKE SURE SUMS ALL ADD UP. |
| 946 |
#ifdef SEAICE_DEBUG |
| 947 |
|
| 948 |
C THE SHORTWAVE ENERGY FLUX ABSORBED IN THE SURFACE LAYER |
| 949 |
#ifdef SHORTWAVE_HEATING |
| 950 |
QSW_absorb_in_ML(I,J) = QSW(I,J,bi,bj)* |
| 951 |
& (1.0 - SWFRACB) |
| 952 |
#else |
| 953 |
|
| 954 |
QSW_absorb_in_ML(I,J) = 0. _d 0 |
| 955 |
#endif |
| 956 |
|
| 957 |
C THE SHORTWAVE ENERGY FLUX PENETRATING BELOW THE SURFACE LAYER |
| 958 |
QSW_absorb_below_ML(I,J) = |
| 959 |
& QSW(I,J,bi,bj) - QSW_absorb_in_ML(I,J); |
| 960 |
|
| 961 |
PredTempChangeFromQSW(I,J) = |
| 962 |
& - QSW_absorb_in_ML(I,J) * FLUX_TO_DELTA_TEMP |
| 963 |
|
| 964 |
PredTempChangeFromOA_MQNET(I,J) = |
| 965 |
& -(QNET(I,J,bi,bj)-QSWO(I,J))*(1. -AREANm1(I,J,bi,bj)) |
| 966 |
& * FLUX_TO_DELTA_TEMP |
| 967 |
|
| 968 |
PredTempChangeFromF_IO_NET(I,J) = |
| 969 |
& -F_io_net(I,J)*AREANm1(I,J,bi,bj)*FLUX_TO_DELTA_TEMP |
| 970 |
|
| 971 |
PredTempChangeFromF_IA_NET(I,J) = |
| 972 |
& -F_ia_net(I,J)*AREANm1(I,J,bi,bj)*FLUX_TO_DELTA_TEMP |
| 973 |
|
| 974 |
PredTempChangeFromNewIceVol(I,J) = |
| 975 |
& EnergyInNewTotalIceVolume(I,J)*ENERGY_TO_DELTA_TEMP |
| 976 |
|
| 977 |
PredTempChange(I,J) = |
| 978 |
& PredTempChangeFromQSW(I,J) + |
| 979 |
& PredTempChangeFromOA_MQNET(I,J) + |
| 980 |
& PredTempChangeFromF_IO_NET(I,J) + |
| 981 |
& PredTempChangeFromF_IA_NET(I,J) + |
| 982 |
& PredTempChangeFromNewIceVol(I,J) |
| 983 |
#endif |
| 984 |
|
| 985 |
ENDDO |
| 986 |
ENDDO |
| 987 |
|
| 988 |
|
| 989 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 990 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, |
| 991 |
CADJ & key = iicekey, byte = isbyte |
| 992 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 993 |
CADJ & key = iicekey, byte = isbyte |
| 994 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, |
| 995 |
CADJ & key = iicekey, byte = isbyte |
| 996 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 997 |
|
| 998 |
DO J=1,sNy |
| 999 |
DO I=1,sNx |
| 1000 |
AREA(I,J,bi,bj) = AREA(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
| 1001 |
HEFF(I,J,bi,bj) = HEFF(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
| 1002 |
HSNOW(I,J,bi,bj) = HSNOW(I,J,bi,bj)*HEFFM(I,J,bi,bj) |
| 1003 |
ENDDO |
| 1004 |
ENDDO |
| 1005 |
|
| 1006 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 1007 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, |
| 1008 |
CADJ & key = iicekey, byte = isbyte |
| 1009 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 1010 |
CADJ & key = iicekey, byte = isbyte |
| 1011 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, |
| 1012 |
CADJ & key = iicekey, byte = isbyte |
| 1013 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 1014 |
|
| 1015 |
|
| 1016 |
#ifdef ALLOW_SEAICE_FLOODING |
| 1017 |
IF(SEAICEuseFlooding) THEN |
| 1018 |
|
| 1019 |
DO J = 1,sNy |
| 1020 |
DO I = 1,sNx |
| 1021 |
EnergyToMeltSnowAndIce(I,J) = |
| 1022 |
& HEFF(I,J,bi,bj)/QI + |
| 1023 |
& HSNOW(I,J,bi,bj)/QS |
| 1024 |
|
| 1025 |
deltaHS = FL_C2*( HSNOW_ACTUAL(I,J) - |
| 1026 |
& HICE_ACTUAL(I,J)*FL_C3 ) |
| 1027 |
|
| 1028 |
IF (deltaHS .GT. 0.0) THEN |
| 1029 |
deltaHI = FL_C4*deltaHS |
| 1030 |
|
| 1031 |
HICE_ACTUAL(I,J) = HICE_ACTUAL(I,J) |
| 1032 |
& + deltaHI |
| 1033 |
|
| 1034 |
HSNOW_ACTUAL(I,J)= HSNOW_ACTUAL(I,J) |
| 1035 |
& - deltaHS |
| 1036 |
|
| 1037 |
HEFF(I,J,bi,bj)= HICE_ACTUAL(I,J) * |
| 1038 |
& AREA(I,J,bi,bj) |
| 1039 |
|
| 1040 |
HSNOW(I,J,bi,bj) = HSNOW_ACTUAL(I,J)* |
| 1041 |
& AREA(I,J,bi,bj) |
| 1042 |
|
| 1043 |
EnergyToMeltSnowAndIce2(I,J) = |
| 1044 |
& HEFF(I,J,bi,bj)/QI + |
| 1045 |
& HSNOW(I,J,bi,bj)/QS |
| 1046 |
|
| 1047 |
#ifdef SEAICE_DEBUG |
| 1048 |
IF ( (I .EQ. SEAICE_debugPointX) .and. |
| 1049 |
& (J .EQ. SEAICE_debugPointY) ) THEN |
| 1050 |
|
| 1051 |
print *,'Energy to melt snow+ice: pre,post,delta', |
| 1052 |
& EnergyToMeltSnowAndIce(I,J), |
| 1053 |
& EnergyToMeltSnowAndIce2(I,J), |
| 1054 |
& EnergyToMeltSnowAndIce(I,J) - |
| 1055 |
& EnergyToMeltSnowAndIce2(I,J) |
| 1056 |
ENDIF |
| 1057 |
c SEAICE DEBUG |
| 1058 |
#endif |
| 1059 |
c there is any flooding to be had |
| 1060 |
ENDIF |
| 1061 |
ENDDO |
| 1062 |
ENDDO |
| 1063 |
|
| 1064 |
c SEAICEuseFlooding |
| 1065 |
ENDIF |
| 1066 |
c ALLOW_SEAICE_FLOODING |
| 1067 |
#endif |
| 1068 |
|
| 1069 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 1070 |
CADJ STORE area(:,:,bi,bj) = comlev1_bibj, |
| 1071 |
CADJ & key = iicekey, byte = isbyte |
| 1072 |
CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, |
| 1073 |
CADJ & key = iicekey, byte = isbyte |
| 1074 |
CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, |
| 1075 |
CADJ & key = iicekey, byte = isbyte |
| 1076 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 1077 |
|
| 1078 |
|
| 1079 |
#ifdef ATMOSPHERIC_LOADING |
| 1080 |
IF ( useRealFreshWaterFlux ) THEN |
| 1081 |
DO J=1,sNy |
| 1082 |
DO I=1,sNx |
| 1083 |
sIceLoad(i,j,bi,bj) = HEFF(I,J,bi,bj)* |
| 1084 |
& SEAICE_rhoIce + HSNOW(I,J,bi,bj)*SEAICE_rhoSnow |
| 1085 |
ENDDO |
| 1086 |
ENDDO |
| 1087 |
ENDIF |
| 1088 |
#endif |
| 1089 |
|
| 1090 |
#ifdef SEAICE_DEBUG |
| 1091 |
DO j=1-OLy,sNy+OLy |
| 1092 |
DO i=1-OLx,sNx+OLx |
| 1093 |
|
| 1094 |
IF ( (i .EQ. SEAICE_debugPointX) .and. |
| 1095 |
& (j .EQ. SEAICE_debugPointY) ) THEN |
| 1096 |
|
| 1097 |
print *,'ifsig: myTime,myIter:',myTime,myIter |
| 1098 |
|
| 1099 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1100 |
& 'ifice i j -------------- ',i,j |
| 1101 |
|
| 1102 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1103 |
& 'ifice i j IGR(ML OW ICE) ',i,j, |
| 1104 |
& IceGrowthRateMixedLayer(i,j), |
| 1105 |
& IceGrowthRateOpenWater(i,j), |
| 1106 |
& NetExistingIceGrowthRate(i,j), |
| 1107 |
& SEAICE_deltaTtherm |
| 1108 |
|
| 1109 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1110 |
& 'ifice i j F(mi ao) ', |
| 1111 |
& i,j,F_mi(i,j), F_ao(i,j) |
| 1112 |
|
| 1113 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1114 |
& 'ifice i j Fi(a,ant2/1 ont)', |
| 1115 |
& i,j,F_ia(i,j), |
| 1116 |
& F_ia_net_before_snow(i,j), |
| 1117 |
& F_ia_net(i,j), |
| 1118 |
& F_io_net(i,j) |
| 1119 |
|
| 1120 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1121 |
& 'ifice i j AREA2/1 HEFF2/1 ',i,j, |
| 1122 |
& AREANm1(I,J,bi,bj), |
| 1123 |
& AREA(i,j,bi,bj), |
| 1124 |
& HEFFNm1(I,J,bi,bj), |
| 1125 |
& HEFF(i,j,bi,bj) |
| 1126 |
|
| 1127 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1128 |
& 'ifice i j HSNOW2/1 TMX TBC',i,j, |
| 1129 |
& HSNOW_ORIG(I,J), |
| 1130 |
& HSNOW(I,J,bi,bj), |
| 1131 |
& TMIX(i,j,bi,bj)- TMELT, |
| 1132 |
& TBC |
| 1133 |
|
| 1134 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1135 |
& 'ifice i j TI ATP LWD ',i,j, |
| 1136 |
& TICE(i,j,bi,bj) - TMELT, |
| 1137 |
& ATEMP(i,j,bi,bj) -TMELT, |
| 1138 |
& LWDOWN(i,j,bi,bj) |
| 1139 |
|
| 1140 |
|
| 1141 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1142 |
& 'ifice i j S_a S_h S_hsnow ',i,j, |
| 1143 |
& S_a(i,j), |
| 1144 |
& S_h(i,j), |
| 1145 |
& S_hsnow(i,j) |
| 1146 |
|
| 1147 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1148 |
& 'ifice i j IVC(E A ENIN) ',i,j, |
| 1149 |
& ExpectedIceVolumeChange(i,j), |
| 1150 |
& ActualNewTotalVolumeChange(i,j), |
| 1151 |
& EnergyInNewTotalIceVolume(i,j) |
| 1152 |
|
| 1153 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1154 |
& 'ifice i j EF(NOS RE) QNET ',i,j, |
| 1155 |
& NetEnergyFluxOutOfSystem(i,j), |
| 1156 |
& ResidualHeatOutOfSystem(i,j), |
| 1157 |
& QNET(I,J,bi,bj) |
| 1158 |
|
| 1159 |
print '(A,2i4,3(1x,1P3E15.4))', |
| 1160 |
& 'ifice i j QSW QSWO QSWI ',i,j, |
| 1161 |
& QSW(i,j,bi,bj), |
| 1162 |
& QSWO(i,j), |
| 1163 |
& QSWI(i,j) |
| 1164 |
|
| 1165 |
print '(A,2i4,3(1x,1P3E15.4))', |
| 1166 |
& 'ifice i j SW(BML IML SW) ',i,j, |
| 1167 |
& QSW_absorb_below_ML(i,j), |
| 1168 |
& QSW_absorb_in_ML(i,j), |
| 1169 |
& SWFRACB |
| 1170 |
|
| 1171 |
print '(A,2i4,3(1x,1P3E15.4))', |
| 1172 |
& 'ifice i j ptc(to, qsw, oa)',i,j, |
| 1173 |
& PredTempChange(i,j), |
| 1174 |
& PredTempChangeFromQSW (i,j), |
| 1175 |
& PredTempChangeFromOA_MQNET(i,j) |
| 1176 |
|
| 1177 |
|
| 1178 |
print '(A,2i4,3(1x,1P3E15.4))', |
| 1179 |
& 'ifice i j ptc(fion,ian,ia)',i,j, |
| 1180 |
& PredTempChangeFromF_IO_NET(i,j), |
| 1181 |
& PredTempChangeFromF_IA_NET(i,j), |
| 1182 |
& PredTempChangeFromFIA(i,j) |
| 1183 |
|
| 1184 |
print '(A,2i4,3(1x,1P3E15.4))', |
| 1185 |
& 'ifice i j ptc(niv) ',i,j, |
| 1186 |
& PredTempChangeFromNewIceVol(i,j) |
| 1187 |
|
| 1188 |
|
| 1189 |
print '(A,2i4,3(1x,1P3E15.4))', |
| 1190 |
& 'ifice i j EmPmR EVP PRE RU',i,j, |
| 1191 |
& EmPmR(I,J,bi,bj), |
| 1192 |
& EVAP(I,J,bi,bj), |
| 1193 |
& PRECIP(I,J,bi,bj), |
| 1194 |
& RUNOFF(I,J,bi,bj) |
| 1195 |
|
| 1196 |
print '(A,2i4,3(1x,1P3E15.4))', |
| 1197 |
& 'ifice i j PRROIS,SAOI(R .)',i,j, |
| 1198 |
& PrecipRateOverIceSurfaceToSea(I,J), |
| 1199 |
& SnowAccRateOverIce(I,J), |
| 1200 |
& SmowAccOverIce(I,J) |
| 1201 |
|
| 1202 |
print '(A,2i4,4(1x,1P3E15.4))', |
| 1203 |
& 'ifice i j SM(PM PMR . .R) ',i,j, |
| 1204 |
& PotSnowMeltFromSurf(I,J), |
| 1205 |
& PotSnowMeltRateFromSurf(I,J), |
| 1206 |
& SnowMeltFromSurface(I,J), |
| 1207 |
& SnowMeltRateFromSurface(I,J) |
| 1208 |
|
| 1209 |
print '(A,2i4,4(1x,1P3E15.4))', |
| 1210 |
& 'ifice i j TotSnwMlt ExSnVC',i,j, |
| 1211 |
& ActualNewTotalSnowMelt(I,J), |
| 1212 |
& ExpectedSnowVolumeChange(I,J) |
| 1213 |
|
| 1214 |
|
| 1215 |
print '(A,2i4,4(1x,1P3E15.4))', |
| 1216 |
& 'ifice i j fw(CFICE, CFSM) ',i,j, |
| 1217 |
& FreshwaterContribFromIce(I,J), |
| 1218 |
& FreshwaterContribFromSnowMelt(I,J) |
| 1219 |
|
| 1220 |
print '(A,2i4,2(1x,1P3E15.4))', |
| 1221 |
& 'ifice i j -------------- ',i,j |
| 1222 |
|
| 1223 |
ENDIF |
| 1224 |
ENDDO |
| 1225 |
ENDDO |
| 1226 |
#endif /* SEAICE_DEBUG */ |
| 1227 |
|
| 1228 |
|
| 1229 |
C BI,BJ'S |
| 1230 |
ENDDO |
| 1231 |
ENDDO |
| 1232 |
|
| 1233 |
RETURN |
| 1234 |
END |
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