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Non-breaking and breaking solitary wave run-up

Li, Ying and Raichlen, Fredric (2002) Non-breaking and breaking solitary wave run-up. Journal of Fluid Mechanics, 456 . pp. 295-318. ISSN 0022-1120. https://resolver.caltech.edu/CaltechAUTHORS:LIYjfm02

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Abstract

The run-up of non-breaking and breaking solitary waves on a uniform plane beach connected to a constant-depth wave tank was investigated experimentally and numerically. If only the general characteristics of the run-up process and the maximum run-up are of interest, for the case of a breaking wave the post-breaking condition can be simplified and represented as a propagating bore. A numerical model using this bore structure to treat the process of wave breaking and subsequent shoreward propagation was developed. The nonlinear shallow water equations (NLSW) were solved using the weighted essentially non-oscillatory (WENO) shock capturing scheme employed in gas dynamics. Wave breaking and post-breaking propagation are handled automatically by this scheme and ad hoc terms are not required. A computational domain mapping technique was used to model the shoreline movement. This numerical scheme was found to provide a relatively simple and reasonably good prediction of various aspects of the run-up process. The energy dissipation associated with wave breaking of solitary wave run-up (excluding the effects of bottom friction) was also estimated using the results from the numerical model.


Item Type:Article
Additional Information:"Reprinted with the permission of Cambridge University Press." (Received 5 December 2000 and in revised form 12 October 2001) Published online 9 April 2002. This investigation was supported by the National Science Foundation through Grant No. CMS-9523414 for which the authors are grateful. The authors appreciate the detailed reviews of the referees which has led to significant improvement in the revised manuscript.
Record Number:CaltechAUTHORS:LIYjfm02
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:LIYjfm02
Alternative URL:http://dx.doi.org/10.1017/S0022112001007625
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1182
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:02 Jan 2006
Last Modified:02 Oct 2019 22:40

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