Wave scattering by an axisymmetric ice floe of varying thickness

Bennetts, L. G., Biggs, N. R.T. and Porter, D. (2009) Wave scattering by an axisymmetric ice floe of varying thickness. IMA Journal of Applied Mathematics, 74 (2). pp. 273-295. ISSN 0272-4960 doi: 10.1093/imamat/hxn019

Abstract/Summary

The problem of water wave scattering by a circular ice floe, floating in fluid of finite depth, is formulated and solved numerically. Unlike previous investigations of such situations, here we allow the thickness of the floe (and the fluid depth) to vary axisymmetrically and also incorporate a realistic non-zero draught. A numerical approximation to the solution of this problem is obtained to an arbitrary degree of accuracy by combining a Rayleigh–Ritz approximation of the vertical motion with an appropriate variational principle. This numerical solution procedure builds upon the work of Bennets et al. (2007, J. Fluid Mech., 579, 413–443). As part of the numerical formulation, we utilize a Fourier cosine expansion of the azimuthal motion, resulting in a system of ordinary differential equations to solve in the radial coordinate for each azimuthal mode. The displayed results concentrate on the response of the floe rather than the scattered wave field and show that the effects of introducing the new features of varying floe thickness and a realistic draught are significant.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/26737
Item Type	Article
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Oxford University Press
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