A Hamiltonian approach to wave-current interactions in two-layer fluids
Open Access
- 1 August 2015
- journal article
- conference paper
- Published by AIP Publishing in Physics of Fluids
- Vol. 27 (8) , 086603
Abstract
We provide a Hamiltonian formulation for the governing equations describing the two-dimensional nonlinear interaction between coupled surface waves, internal waves, and an underlying current with piecewise constant vorticity, in a two-layered fluid overlying a flat bed. This Hamiltonian structure is a starting point for the derivation of simpler models, which can be obtained systematically by expanding the Hamiltonian in dimensionless parameters. These enable an in-depth study of the coupling between the surface and internal waves, and how both these wave systems interact with the background current.Keywords
Funding Information
- European Research Council (NWFV)
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