Asymptotic modeling and numerical simulation of solitary waves in a floating ice sheet

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Guyenne, Philippe and Parau, Emilian ORCID: https://orcid.org/0000-0001-5134-2068 (2015) Asymptotic modeling and numerical simulation of solitary waves in a floating ice sheet. In: Twenty-fifth International Ocean and Polar Engineering Conference, 2015-06-21 - 2015-06-26, Hawaii.

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Abstract

Nonlinear flexural-gravity waves beneath a continuous ice sheet are considered. A Hamiltonian formulation of the governing equations is presented in the general three-dimensional setting. It is used to investigate the long-wave regime and derive an asymptotic model for weakly nonlinear dispersive waves with slower variation in the transverse direction. In the two-dimensional case, the model predictions are compared with direct numerical simulations of the full equations and a good agreement is found.

Item Type:	Conference or Workshop Item (Paper)
Uncontrolled Keywords:	boussinesq models,flexural-gravity waves,hamiltonian systems,high-order spectral method,sea ice,solitary waves
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024) Faculty of Science > Research Groups > Fluids & Structures
Related URLs:	http://www.math.udel.edu/~guyenne/public...
Depositing User:	Pure Connector
Date Deposited:	01 Dec 2015 07:38
Last Modified:	07 Nov 2024 12:31
URI:	https://ueaeprints.uea.ac.uk/id/eprint/55584
DOI:

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