Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5473344 | Coastal Engineering | 2017 | 8 Pages |
Abstract
An analytical solution for quadratic nonlinear wave-current interactions is derived using a perturbation method. In contrast to existing formulations, it accounts for dual wavenumber solutions of the linear problem for a single frequency and their nonlinear interactions. It is demonstrated that even a small amount of energy present on the second solution will introduce significant quantitative and qualitative differences in the surface elevation. These differences include a shorter wavelength component moving with a lower wave celerity, nonlinear spatial focusing, and a mean water level that varies in space. The second solution is also shown to produce a mechanism which may easily result in localized violations of wave breaking criteria. These weakly nonlinear effects are expected to be relevant to a variety of engineering applications and physical processes.
Related Topics
Physical Sciences and Engineering
Engineering
Ocean Engineering
Authors
David M. Kouskoulas, Yaron Toledo,