Dispersion relation for water waves with non-constant vorticity

作者：Karageorgis Paschalis^*

来源：European Journal of Mechanics - B: Fluids , 2012, 34: 7-12.

DOI：10.1016/j.euromechflu.2012.03.008

• Dispersion relation
• Water waves
• Non-constant vorticity

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.

• 出版日期2012-8