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A hamiltonian approach to wave-current interactions in two-layer fluids

Research output: Contribution to journalArticle

A. Constantin, R. I. Ivanov

Original languageEnglish
Pages (from-to)86603
Number of pages1
JournalPHYSICS OF FLUIDS
Volume27
Issue number8
DOIs
Published2015

King's Authors

Abstract

We provide a Hamiltonian formulation for the governing equations describing the two-dimensional nonlinear interaction between coupled surfacewaves, internalwaves, 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.

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