1. Kate Hedstrom, UAF Paul Budgell, Bergen Enrique Curchitser, LDEO
Sea-Ice in ROMS
Kate Hedstrom, UAF
Paul Budgell, Bergen
Enrique Curchitser, LDEO

2. Outline Equations Code Papers and plans Dynamics Thermodynamics
cppdefs.h
SeaIce directory
ice.in
Papers and plans

3. Dynamics
Momentum equations:
Viscous-plastic term:

4. More Dynamics
Ice strength:
Rearrange VP:
EVP version:

5. Solution Stress tensor equation is timestepped explicitly
Young’s modulus E depends on ice thickness to keep solution close to VP solution
Ice velocities then timestepped with air/water stresses, Coriolis
Since it is all explicit, easy to parallelize

6. Thermodynamics
Need to compute all the ice growth/melt terms shown

7. Advection of Tracers
Advection uses MPDATA, advecting ice thickness, ice concentration, snow thickness, internal ice temperature
Followed by limiter 0 <= A <= 1

8. More Thermodynamics Heat fluxes are computed through the ice and snow
Temperature is linear in the ice
FT has an oceanic log layer

9. cppdefs.h ANA_ICE ICESHELF ICE_ADVECT ICE_ALB_EC92 ICE_BULK_FLUXES
ICE_EVP
ICE_MK
ICE_MODEL
ICE_MOMENTUM
ICE_MOM_BULK
ICE_SHOREFAST
ICE_SMOLAR
ICE_SMOOTH
ICE_THERMO
ICE_UPWIND

10. SeaIce Directory Boundary conditions ice.F ice_advect.F ice_thermo.F
aibc.F, hibc.F, hsnbc.F, sfwatbc.F, sig11bc.F, sig12bc.F, sig22bc.F, tibc.F, uibc.F, vibc.F
ice.F
ice_advect.F
ice_smolar.h
ice_thermo.F
ice_mk.h
EVP rheology
ice_evp.F, ice_evp_sig.F, ice_elastic.F
ice_frazil.F
ice_limit.F, ice_smoother.F
ice_spdiw.F, ice_vbc.F

11. ice.in Lice - logical for ice dtice - same as ocean dt
nevp - number of EVP iterations per step
rhoice, rho_air, rhosnow_dry, rhoshow_wet - various densities
cdiw, cdai - drag coefficients
gamma2 - slipperiness parameter
pstar, astren - strength parameters

12. ice.in zetamax, zetamin - min/max for ice viscosity
ellip_sq, alphai - ellipticity of yield curve squared
min_h, min_a, max_a - ice limiters for thickness and concentration
stressang
ice_emiss, spec_heat_air, trans_coeff, sublim_latent_heat - various thermodynamic parameters

13. Papers
Hunke and Dukowicz, An Elastic-Viscous-Plastic Model for Sea Ice Dynamics, JPO, 27, (1997)
Hunke, Viscous-Plastic Sea Ice Dynamics with the EVP Model: Linearization Issues, JCP, 170, (2001)
Mellor and Kantha, An Ice-Ocean Coupled Model, JGR, 94, 10,937-10,954 (1989)
Hakkinen and Mellor, Modeling the Seasonal Variability of a Coupled Arctic Ice-Ocean System, JGR, 97, 20,285-20,304 (1992)

14. Plans Modeling the Bering Sea at 4 km resolution
Replacing Mellor-Kantha with CICE 3.1 (Wang and Zhang)
Multicategory and multilevel for interal ice temperatures
They need that for the Arctic