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Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth

Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth

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 / Department / Research Group: Faculty of Liberal Arts & Sciences
Faculty of Liberal Arts & Sciences > Department of Mathematical Sciences
Last Modified: 08 Apr 2020 09:22
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
Selected for REF2021: REF 6
URI: http://gala.gre.ac.uk/id/eprint/25953

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