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Numerical and analytical study of undular bores governed by the full water wave equations and bi-directional Whitham-Boussinesq equations

Undular bores, also termed dispersive shock waves, generated by an initial discontinuity in height as governed by two forms of the Boussinesq system of weakly nonlinear shallow water wave theory, the standard formulation and a Hamiltonian …

Linear Modes for Channels of Constant Cross- Section and Approximate DirichletNeumann Operators

We study normal modes for the linear water wave problem in infinite straight channels of bounded constant cross-section. Our goal is to compare semi-analytic normal mode solutions known in the literature for special triangular cross-sections to …

A Whitham-Boussinesq long-wave model for variable topography

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An example conference paper

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