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Fourfold amplification of solitary-wave Mach reflection at a vertical wall

Published online by Cambridge University Press:  03 January 2019

Jeffrey Knowles  and
Harry Yeh Open the ORCID record for Harry Yeh [Opens in a new window]
Jeffrey Knowles
Affiliation:
School of Civil and Construction Engineering, Oregon State University, Corvallis, OR 97331, USA
Harry Yeh*
Affiliation:
School of Civil and Construction Engineering, Oregon State University, Corvallis, OR 97331, USA
*
†Email address for correspondence: harry@oregonstate.edu
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Abstract

With the use of a higher-order Euler formulation, we numerically study the reflection of an obliquely incident solitary wave at a vertical wall and compare results with the higher-order Kadomtsev–Petviashvili theory. A maximum amplification of 3.91 is achieved along the wall, nearly realizing the fourfold prediction by Miles (J. Fluid Mech., vol. 79 (1), 1977, pp. 171–179).

JFM classification

Geophysical and Geological Flows: Shallow water flows Waves/Free-surface Flows: Solitary waves Waves/Free-surface Flows: Surface gravity waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 861 , 25 February 2019 , pp. 517 - 523
Copyright
© 2019 Cambridge University Press 

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