Steady free-surface flow over spatially periodic topography

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
Uncontrolled Keywords: nonlinear dynamical systems,free-surface flows
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Pure Connector
Date Deposited: 22 Oct 2015 13:00
Last Modified: 21 Oct 2022 01:10
URI: https://ueaeprints.uea.ac.uk/id/eprint/54753
DOI: 10.1017/jfm.2015.507

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