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Waveless subcritical flow past symmetric bottom topography

Citation

Holmes, RJ and Hocking, GC and Forbes, LK and Baillard, NY, Waveless subcritical flow past symmetric bottom topography, European Journal of Applied Mathematics, 24, (2) pp. 213-230. ISSN 0956-7925 (2013) [Refereed Article]

Copyright Statement

Copyright 2012 Cambridge University Press

DOI: doi:10.1017/S0956792512000381

Abstract

The subcritical flow of a stream over a bottom obstruction or depression is considered with particular interest in obtaining solutions with no downstream waves. In the linearised problem this can always be achieved by superposition of multiple obstructions, but it is not clear whether this is possible in a full nonlinear problem. Solutions computed here indicate that there is an effective nonlinear superposition principle at work as no special shape modifications were required to obtain wave-cancelling solutions. Waveless solutions corresponding to one or more trapped waves are computed at a range of different Froude numbers and are shown to provide a rather elaborate mosaic of solution curves in parameter space when both negative and positive obstruction heights are included. © 2012 Cambridge University Press.

Item Details

Item Type:Refereed Article
Keywords:stream flow, free-surface flow, water waves, potential flow
Research Division:Engineering
Research Group:Interdisciplinary Engineering
Research Field:Computational Fluid Dynamics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Forbes, LK (Professor Larry Forbes)
ID Code:84194
Year Published:2013
Web of Science® Times Cited:3
Deposited By:Mathematics and Physics
Deposited On:2013-04-29
Last Modified:2015-01-27
Downloads:0

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