Forced generation of solitary waves in uniform shear flows

Zhou, Qiyi and Xu, Kuan and Choi, Wooyoung (2015) Forced generation of solitary waves in uniform shear flows. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, . ISSN 1063-651X. (Submitted) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Abstract

We study a strongly nonlinear long wave model for surface waves propagating in one horizontal dimension. This model often referred to as the Su-Gardner equation can be derived from the Euler equations under the assumption that the ratio between the water depth and the characteristic wavelength and is small. We extend the model to include the presence of background shear of constant vorticity. After computing the solitary wave solution of the strongly nonlinear model numerical, the interaction between two solitary waves propagating in the same and opposite directions is investigated and the numerical simulations are compared with weakly nonlinear asymptotic results. In particular, the effect of strong nonlinearity as well as background shear will be addressed. Based on the same assumption, we derive the strongly nonlinear long wave model to take into account non-uniform topography in the bottom. Uniform shear flow interaction with a variety of topography profiles is studied numerically.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis
Q Science > QA Mathematics (inc Computing science) > QA901 Mechanics of deformable bodies, fluid mechanics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Kuan Xu
Date Deposited: 09 Nov 2016 18:09 UTC
Last Modified: 12 Apr 2018 13:31 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/58501 (The current URI for this page, for reference purposes)
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