带有切齐摩擦的波状内孔演变的数值模拟

2015 International Symposium on Mathematical Sciences and Computing Research (iSMSC) Pub Date : 2015-05-19 DOI:10.1109/ISMSC.2015.7594090

W. Tiong, K. Chiew, K. Tay, C. T. Ong

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引用次数: 1

摘要

本文在扰动扩展 Korteweg-de Vries 方程的框架内，对波状孔在阻尼作用下的演变进行了数值研究和模拟。在此，我们将 Chezy 摩擦项视为扰动扩展 Korteweg-de Vries 方程中的阻尼项。数值模拟结果表明，在摩擦力的影响下，具有厚前导波的波状内孔将转化为类似于 KdV 的孤波作为波状内孔的前导波。即使存在耗散效应，"厚 "前导波的振幅也会在一段时间内保持不变。

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Numerical simulation of undular bore evolution with Chezy friction

This paper studies and simulates numerically the evolution of undular bore under the effect of damping in the framework of the perturbed extended Korteweg-de Vries equation. Here, we consider Chezy frictional term to be the damping term in the perturbed extended Korteweg-de Vries equation. Numerical simulations show that under the influence of the friction, the undular bore with thick leading wave will transform into KdV-like solitary wave as the leading wave of the undular bore. The amplitude of the “thick” leading wave will remain the same for some time even though there is dissipation effect.

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2015 International Symposium on Mathematical Sciences and Computing Research (iSMSC)

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