Behavior of the elastic-viscous-plastic (EVP) model for sea ice dynamics is
explored, with particular attention to a necessary numerical Linearization
of the internal ice stress term in the momentum equation. Improvements to
both the mathematical and numerical formulations of the model have moderate
d the impact of linearizing the stress term; simulations with the original
EVP formulation and the improved version are used to explain the consequenc
es of using different numerical approaches. In particular,, we discuss the
model behavior in two regimes, low ice concentration such as occurs in the
marginal ice zone, and very high ice concentration, where the ice is nearly
rigid. Most of these results are highly relevant to the viscous-plastic (V
P) ice dynamics model on which the EVP model is based. We provide examples
of certain pathologies that the VP model and its numerical formulations exh
ibit at steady state. (C) 2001 Academic Press.