Particle trajectories in the Serre equations

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• 作者：Zahra Khors
• 关键词：Surface waves ; Serre equations ; Particle trajectories ; Solitary waves ; Periodic waves
• 刊名：Applied Mathematics and Computation
• 出版年：1 March, 2014
• 年：2014
• 卷：230
• 期：Complete
• 页码：35-42
• 全文大小：473 K

文摘

We present a numerical study of particle paths in an irrotational free surface flow over a flat bottom where the Serre equations are considered as the governing equations. For solitary surface waves, we obtain that the particle paths are parabolic with a large forward drift. Periodic solutions of the Serre equations feature nearly closed particle trajectories with a slight backward drift depending on the initial depth of the particles. This backward drift appears to be due to negative mean horizontal velocity in the periodic solutions.