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Type: Journal article
Title: Steep waves in free-surface flow past narrow topography
Author: Wade, S.
Binder, B.
Mattner, T.
Denier, J.
Citation: Physics of Fluids, 2017; 29(6):062107-1-062107-6
Publisher: AIP Publishing
Issue Date: 2017
ISSN: 1070-6631
Statement of
Stephen L. Wade, Benjamin J. Binder, Trent W. Mattner and James P. Denier
Abstract: In this work, we compute steep forced solitary wave solutions for the problem of free-surface flow over a localised topographic disturbance in an otherwise flat horizontal channel bottom. A single forced solitary wave and a double-crested forced solitary wave solution are shown to exist, both of which approach the Stokes limiting configuration of an included angle of 120° and a stagnation point at the wave crests. The solution space for the topographically forced problem is compared to that found in Wade et al. [“On the free-surface flow of very steep forced solitary waves,” J. Fluid Mech. 739, 1–21 (2014)], who considered forcing due to a localised distribution of pressure applied to the free surface. The main feature that differentiates the two types of forcing is an additional solution that exists in the pressure-forced problem, a steep wave with a cusp at a single wave crest. Our numerical results suggest that this cusped-wave solution does not exist in the topographically forced problem.
Rights: Published by AIP Publishing. Copyright Status Unknown
RMID: 0030072104
DOI: 10.1063/1.4986262
Appears in Collections:Mathematical Sciences publications

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