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Numerical studies of two-dimensional hydroelastic periodic and generalised solitary waves

Numerical studies of two-dimensional hydroelastic periodic and generalised solitary waves

Gao, Tao ORCID: 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:https://doi.org/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 / Department / Research Group: Faculty of Liberal Arts & Sciences
Faculty of Liberal Arts & Sciences > Department of Mathematical Sciences
Last Modified: 08 Apr 2020 08:55
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
Selected for REF2021: REF 2
URI: http://gala.gre.ac.uk/id/eprint/25958

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