Gao, T;
Vanden-Broeck, J-M;
(2014)
Numerical studies of two-dimensional hydroelastic periodic and generalised solitary waves.
Physics of Fluids
, 26
(8)
, Article 087101. 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.
| Type: | Article |
|---|---|
| Title: | Numerical studies of two-dimensional hydroelastic periodic and generalised solitary waves |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1063/1.4893677 |
| Publisher version: | http://dx.doi.org/10.1063/1.4893677 |
| Language: | English |
| Additional information: | This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in: Gao, T; Vanden-Broeck, J-M; (2014) Numerical studies of two-dimensional hydroelastic periodic and generalised solitary waves. Physics of Fluids, 26 (8), Article 087101, and may be found at: http://dx.doi.org/10.1063/1.4893677. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1477287 |
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