Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256333 | Physica D: Nonlinear Phenomena | 2016 | 14 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Karima R. Khusnutdinova, Xizheng Zhang,