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arXiv · 1201.1626

Dispersion relation for water waves with non-constant vorticity

Paschalis Karageorgis
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Abstract

We derive the dispersion relation for linearized small-amplitude gravity waves for various choices of non-constant vorticity. To the best of our knowledge, this relation is only known explicitly in the case of constant vorticity. We provide a wide range of examples including polynomial, exponential, trigonometric and hyperbolic vorticity functions.

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Paschalis Karageorgis. 2012-01-08. Dispersion relation for water waves with non-constant vorticity. https://doi.org/10.1016/j.euromechflu.2012.03.008

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