Gao, Tao ORCID: 0000-0002-6425-1568, Vanden-Broeck, Jean-Marc and Wang, Zhan (2018) Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth. IMA Journal of Applied Mathematics, 83 (3). pp. 436-450. ISSN 0272-4960 (Print), 1464-3634 (Online) (doi:https://doi.org/10.1093/imamat/hxy007)

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Abstract

This work is concerned with flexural-gravity solitary waves on water of finite depth. The deformation of the elastic sheet is modelled based on the Cosserat theory of hyperelastic shells satisfying Kirchhoff’s hypotheses. Both steady and unsteady waves are computed numerically for the full Euler equations by using a conformal mapping technique. Complete bifurcation diagrams of solitary waves are presented, and various dynamical experiments, including the evolution of unstable solitary waves and the generation of stable ones, are carried out via direct time-dependent simulations. In particular, we show that generalized solitary waves can also be excited by moving loads on the elastic cover.

Item Type:	Article
Uncontrolled Keywords:	hydroelastic waves
Subjects:	Q Science > QA Mathematics
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS) Faculty of Engineering & Science
Last Modified:	04 Mar 2022 13:07
URI:	http://gala.gre.ac.uk/id/eprint/25953

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