Binder, B. J., Blyth, M. G. and Balasuriya, S. (2015) Steady free-surface flow over spatially periodic topography. Journal of Fluid Mechanics, 781. ISSN 0022-1120
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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.
Item Type: | Article |
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Uncontrolled Keywords: | nonlinear dynamical systems,free-surface flows |
Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
UEA Research Groups: | Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024) Faculty of Science > Research Groups > Fluids & Structures |
Depositing User: | Pure Connector |
Date Deposited: | 22 Oct 2015 13:00 |
Last Modified: | 07 Nov 2024 12:38 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/54753 |
DOI: | 10.1017/jfm.2015.507 |
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