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Numerical study of solitary wave attenuation in a fragmented ice sheet

Philippe Guyenne*

Emilian I. Părău

  • Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716, USA

  • School of Mathematics, University of East Anglia, Norwich NR4 7TJ, United Kingdom

  • *guyenne@udel.edu
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Phys. Rev. Fluids 2, 034002 – Published 27 March, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.034002

Abstract

A numerical model for direct phase-resolved simulation of nonlinear ocean waves propagating through fragmented sea ice is proposed. In view are applications to wave propagation and attenuation across the marginal ice zone. This model solves the full equations for nonlinear potential flow coupled with a nonlinear thin-plate formulation for the ice cover. A key contribution is to modeling fragmented sea ice, which is accomplished by allowing the coefficient of flexural rigidity to vary spatially so that distributions of ice floes can be directly specified in the physical domain. Two-dimensional simulations are performed to examine the attenuation of solitary waves by scattering through an irregular array of ice floes. Two different measures based on the wave profile are used to quantify its attenuation over time for various floe configurations. Slow (near linear) or fast (exponential-like) decay is observed depending on such parameters as incident wave height, ice concentration, and ice fragmentation.

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Phys. Rev. Fluids 2, 034002– Published 27 March, 2017
  • Received 23 September 2016
Article part of CHORUS

©2017 American Physical Society

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