Gao, T;
Vanden-Broeck, JM;
Wang, Z;
(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.
10.1093/ima-mat/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.
| Type: | Article |
|---|---|
| Title: | Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/ima-mat/hxy007 |
| Publisher version: | https://doi.org/10.1093/ima-mat/hxy007 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL 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/10047779 |
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