Overtopping of solitary waves and solitary bores on a plane beach

Baldock, T. E., Peiris, D. and Hogg, A. J. (2012) Overtopping of solitary waves and solitary bores on a plane beach. Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences, 468 2147: 3494-3516. doi:10.1098/rspa.2011.0729


Author Baldock, T. E.
Peiris, D.
Hogg, A. J.
Title Overtopping of solitary waves and solitary bores on a plane beach
Journal name Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences   Check publisher's open access policy
ISSN 1364-5021
1471-2946
Publication date 2012-11-08
Sub-type Article (original research)
DOI 10.1098/rspa.2011.0729
Volume 468
Issue 2147
Start page 3494
End page 3516
Total pages 23
Place of publication London, United Kingdom
Publisher The Royal Society Publishing
Collection year 2013
Language eng
Formatted abstract
The overtopping of solitary waves and bores present major hazards during the initial phase of tsunami inundation and storm surges. This paper presents new laboratory data on overtopping events by both solitary waves and solitary bores. Existing empirical overtopping scaling laws are found to be deficient for these wave forms. Two distinct scaling regimes are instead identified. For solitary waves, the overtopping rates scale linearly with the deficit in run-up freeboard. The volume flux in the incident solitary wave is also an important parameter, and a weak dependence on the nonlinearity of the waves (H/d) is observed. For solitary bores, the overtopping cannot be scaled uniquely, because the fluid momentum behind the incident bore front is independent of the bore height, but it is in close agreement with recent solutions of the nonlinear shallow water equations. The maximum overtopping rate for the solitary waves is shown to be the lower bound of the overtopping rate for the solitary bores with the same deficit in freeboard. Thus, for a given run-up, the solitary bores induce greater overtopping rates than the solitary waves when the relative freeboard is small.
Keyword Overtopping
Solitary waves
Solitary bores
Tsunami
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
Official 2013 Collection
 
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