Stability and dynamics of solitary gravity-capillary waves

孤立重力毛细波的稳定性和动力学

• 批准号: EP/H022740/1
• 负责人: Jean-Marc Vanden-Broeck
• 金额: $ 1.9万
• 依托单位: University College London
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2010
• 资助国家: 英国
• 起止时间: 2010 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FH022740%2F1
• 关键词: Stability; dynamics; solitary; gravity; capillary

Gravity-capillary waves are waves on the water's surface when the effects of both gravity and surface tension are similar in magnitude. These waves have a wavelength of approximately 1-2 cm. It is at this length scale, for example, that the initiation of the generation of wind ripples occurs and it is these waves that can be detected by some forms of remote sensing radars used to study the surface of the ocean and for detecting oil spills. We shall study these waves in the nonlinear regime, where solitary waves play an important role in the dynamics. We will use both the full equations of fluid dynamics and also derive and validate model equations that are simpler given that in complex flows, the full equations are computationally diffucult to solve.

重力-毛细波是当重力和表面张力的影响在量级上相似时在水的表面上的波。这些波的波长约为1-2厘米。例如，正是在这种长度尺度上，风波纹的产生开始发生，并且正是这些波可以被用于研究海洋表面和探测石油泄漏的某种形式的遥感雷达探测到。我们将研究这些波的非线性制度，孤立波在动力学中起着重要的作用。我们将使用流体动力学的完整方程，并推导和验证模型方程，这些方程更简单，因为在复杂的流动中，完整的方程在计算上难以求解。

项目成果

On weakly nonlinear gravity-capillary solitary waves

关于弱非线性重力毛细管孤立波

• DOI: 10.1016/j.wavemoti.2011.10.002
• 发表时间: 2012
• 期刊: Wave Motion
• 影响因子: 2.4
• 作者: Kim B

Hydroelastic solitary waves in deep water

• DOI: 10.1017/jfm.2011.163
• 发表时间: 2011-07-01
• 期刊: JOURNAL OF FLUID MECHANICS
• 影响因子: 3.7
• 作者: Milewski, Paul A.;Vanden-Broeck, J-M.;Wang, Zhan
• 通讯作者: Wang, Zhan