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
收藏
页码：514 / 522
页数：9
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