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https://hdl.handle.net/2440/100412
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Type: | Journal article |
Title: | Steady free-surface flow over spatially periodic topography |
Author: | Binder, B. Blyth, M. Balasuriya, S. |
Citation: | Journal of Fluid Mechanics, 2015; 781:R3-1-R3-14 |
Publisher: | Cambridge University Press |
Issue Date: | 2015 |
ISSN: | 0022-1120 1469-7645 |
Statement of Responsibility: | .J. Binder, M.G. Blyth and S. Balasuriya |
Abstract: | Two-dimensional free-surface flow over a spatially periodic channel bed topography is examined using a steady periodically forced Korteweg-de Vries equation. The existence of new forced solitary-type waves with periodic tails is demonstrated using recently developed non-autonomous dynamical-systems theory. Bound states with two or more co-existing solitary waves are also identified. The solution space for varying amplitude of forcing is explored using a numerical method. A rich bifurcation structure is uncovered and shown to be consistent with an asymptotic theory based on small forcing amplitude. |
Keywords: | Nonlinear dynamical systems; waves/free-surface flows |
Rights: | © Cambridge University Press 2015 |
DOI: | 10.1017/jfm.2015.507 |
Grant ID: | http://purl.org/au-research/grants/arc/FT130100484 |
Published version: | http://dx.doi.org/10.1017/jfm.2015.507 |
Appears in Collections: | Aurora harvest 3 Mathematical Sciences publications |
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