Gao, Tao ORCID: https://orcid.org/0000-0002-6425-1568 and Vanden-Broeck, Jean-Marc (2014) Numerical studies of two-dimensional hydroelastic periodic and generalised solitary waves. Physics of Fluids, 26 (8):087101. ISSN 1070-6631 (Print), 1089-7666 (Online) (doi:10.1063/1.4893677)

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Abstract

Hydroelastic waves propagating at a constant velocity at the surface of a fluid are considered. The flow is assumed to be two-dimensional and potential. Gravity is included in the dynamic boundary condition. The fluid is bounded above by an elastic sheet which is described by the Plotnikov-Toland model. Fully nonlinear solutions are computed by a series truncation method. The findings generalised previous results where the sheet was described by a simplified model known as the Kirchhoff-Love model. Periodic and generalised solitary waves are computed. The results strongly suggest that there are no true solitary waves (i.e., solitary waves characterised by a flat free surface in the far field). Detailed comparisons with results obtained with the Kirchhoff-Love model and for the related problem of gravity capillary waves are also presented.

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/25958

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