Wave scattering by a periodic line array of axisymmetric ice floes
by
Luke Bennetts
Uni of Otago
Coauthors: Vernon Squire

The case of a periodic array of identical circular ice floes that are equispaced along an infinite straight line is considered under linear and time-harmonic conditions.

In this model the floes possess the new features of a realistic non-zero draught and the ability to vary in thickness axisymmetrically via both their upper and lower surfaces. Moreover, our model is designed in such a manner that we may easily solve for geometrical configurations consisting of an arbitrary number of these straight lines of circular floes and may dictate either free-surface or ice-covered conditions away from the floes. Such extensions could be used as a model of the MIZ for example, or pancake ice appearing within a lead.

The geometry is divided into channels that contain a single floe. By applying phase change conditions on the sides of the channel we may reduce the problem posed by the infinite line array to that of a single channel only. The channel problem is simplified by invoking an approximation of the vertical dependence of the fluid motion. Green's functions are then used to convert the resulting equations into a integral system over the ice-covered disc, which may be solved numerically.

Date received: October 15, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavv-06.