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 (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:	15 Oct 2025 14:32
URI:	https://ueaeprints.uea.ac.uk/id/eprint/54753
DOI:	10.1017/jfm.2015.507

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