Please use this identifier to cite or link to this item:
|Scopus||Web of Science®||Altmetric|
|Title:||Steep waves in free-surface flow past narrow topography|
|Citation:||Physics of Fluids, 2017; 29(6):062107-1-062107-6|
|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|
|Appears in Collections:||Mathematical Sciences publications|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.