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|Title:||Steady free-surface flow over spatially periodic topography|
|Citation:||Journal of Fluid Mechanics, 2015; 781:R3-1-R3-14|
|Publisher:||Cambridge University Press|
|.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|
|Appears in Collections:||Aurora harvest 3|
Mathematical Sciences publications
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