Steady free-surface flow over spatially periodic topography

B. J. Binder, M. G. Blyth, S. Balasuriya

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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.
Original languageEnglish
Article numberR3
JournalJournal of Fluid Mechanics
Volume781
Early online date16 Sep 2015
DOIs
Publication statusPublished - Oct 2015

Keywords

  • nonlinear dynamical systems
  • waves/free-surface flows

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