期刊
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS
卷 34, 期 -, 页码 7-12出版社
GAUTHIER-VILLARS/EDITIONS ELSEVIER
DOI: 10.1016/j.euromechflu.2012.03.008
关键词
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. (C) 2012 Elsevier Masson SAS. All rights reserved.
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