Fourfold amplification of solitary-wave Mach reflection at a vertical wall. (3rd January 2019)

• Record Type: Journal Article
• Authors: Knowles, Jeffrey; Yeh, Harry
• Is Part Of: Journal of fluid mechanics. Volume 861(2019)
• Page Start: 517
• Page End: 523
• Publication Date: 2019-01-03
• Subjects: shallow water flows, -- solitary waves, -- surface gravity waves; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2018.926
• Languages: English
• ISSNs: 0022-1120

Abstract

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).