A new equation describing travelling water waves

被引：4

作者：

Oliveras, Katie ^{[1
]}

Vasan, Vishal ^{[2
]}

机构：

[1] Seattle Univ, Dept Math, Seattle, WA 98122 USA

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

JOURNAL OF FLUID MECHANICS | 2013年 / 717卷

基金：

美国国家科学基金会;

关键词：

mathematical foundations; surface gravity waves; waves/free-surface flows; FORMULATION;

D O I：

10.1017/jfm.2012.591

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A new single equation for the surface elevation of a travelling water wave in an incompressible, inviscid, irrotational fluid is derived. This new equation is derived without approximation from Euler's equations, valid for both a one- and two-dimensional travelling-wave surface. We show that this new formulation can be used to efficiently derive higher-order Stokes-wave approximations, and pose that this new formulation provides a useful framework for further investigation of travelling water waves.

引用

页码：514 / 522

页数：9

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