Local stability of Gerstner's waves

被引：43

作者：

Leblanc, S ^{[1
]}

机构：

[1] Univ S Toulon Var, Lab Sondages Electromagnet Environm Terreste, F-83957 La Garde, France

来源：

JOURNAL OF FLUID MECHANICS | 2004年 / 506卷

关键词：

D O I：

10.1017/S0022112004008444

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A general method is presented to investigate the hydrodynamic stability of ideal incompressible or barotropic flows described in a Lagrangian representation. Based on the theory of short-wavelength instabilities, the problem is reduced to a transport equation which involves only the distortion matrix of the equilibrium flow. The theory is applied to Gerstner's rotational free-surface gravity waves. It is shown that they are three-dimensionally unstable when their steepness exceeds 1/3.

引用

页码：245 / 254

页数：10

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