A Mathematical Model of the Ocean Boundary Layer under Drifting Melting ice

Abstract

A mathematical model of the ocean boundary layer under drifting melting ice is formulated, verified, and applied. The model is based on the conservation equations for heat, salt, and momentum and uses turbulence models to achieve closure. Novel features of the model include a low-Reynolds number turbulence model for the viscous region and a discrete element approach to the parameterization of roughness. Basic verification studies, using laboratory measurements, include the budget of turbulent kinetic energy and the mean temperature profile. All verification studies are focused on the viscous region. Good agreement with measurements is generally obtained. The model is finally compared to field data obtained during MIZEX. Predicted melt rates are in good agreement with measurements. An analysis of the fluxes of salt and heat within the boundary layer is also provided.