Nonlinear ring waves in a two-layer fluid

Khusnutdinova, Karima; Zhang, Xizheng

KZ_DispHydro_PhysD_revised.pdf (1.82 MB)

Nonlinear ring waves in a two-layer fluid

journal contribution

posted on 2016-04-20, 08:48 authored by Karima KhusnutdinovaKarima Khusnutdinova, Xizheng Zhang

Surface and interfacial weakly-nonlinear ring waves in a two-layer fluid are modelled numerically, within the framework of the recently derived 2+1-dimensional cKdV-type equation. In a case study, we consider concentric waves from a localised initial condition and waves in a 2D version of the dam-break problem, as well as discussing the effect of a piecewise-constant shear flow. The modelling shows, in particular, the formation of 2D dispersive shock waves and oscillatory wave trains.

History

School

Science

Department

Mathematical Sciences

Published in

Physica D: Nonlinear Phenomena

Citation

KHUSNUTDINOVA, K. and ZHANG, X., 2016. Nonlinear ring waves in a two-layer fluid. Physica D: Nonlinear Phenomena, 333, pp.208–221

Publisher

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2016

Notes

This paper was accepted for publication in the journal Physica D: Nonlinear Phenomena and the definitive published version is available at http://dx.doi.org/10.1016/j.physd.2016.02.013.