A review of analytical models of sea‐ice growth

Abstract

The modelling of sea‐ice growth is a classical problem in geophysics, which has been traditionally treated as one‐dimensional, considering only the vertical heat transfer. The modelling work commenced in the 1800s with analytic methods. These are very effective tools for examining the sea‐ice growth problem, providing a clear insight into the physical mechanisms and producing simple first‐order approximations for the ice thickness in various conditions. This paper describes the physical problem of sea‐ice growth, presents an analytical modelling framework for the problem and provides analytic solutions for different environmental conditions.