A new application of Crapper's exact solution to waves in constant vorticity flows

被引：0

作者：

Hur, Vera Mikyoung ^{[1
]}

Vanden-Broeck, Jean-Marc ^{[2
]}

机构：

[1] Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana,IL,61801, United States

[2] Department of Mathematics, University of College London, London,WC1E 6BT, United Kingdom

来源：

European Journal of Mechanics, B/Fluids | 2020年 / 83卷

基金：

美国国家科学基金会;

关键词：

Vorticity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In 1957, Crapper found an exact solution for capillary waves in an irrotational flow of infinite depth. Here we provide asymptotic and numerical evidence that a Crapper wave makes the profile of a periodic traveling wave in a constant vorticity flow when the effects of gravity and surface tension are negligible. This is achieved by explicitly constructing successive approximate solutions for small amplitude waves and numerically computing arbitrary amplitude waves. © 2020 Elsevier Masson SAS

引用

页码：190 / 194