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.
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收藏
页码：245 / 254
页数：10
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