Uniform solitary wave theory for viscous flow over topography

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2024-10-25 DOI:10.1016/j.ijnonlinmec.2024.104931

Mohammed Daher Albalwi

引用次数: 0

Abstract

The flow of a density stratified fluid over obstacles has been intensively explored from a natural and scientific point of view. This flow has been successfully governed by using the forced Korteweg–de Vries-Burgers equation that generated solitons in a viscous flow. This is done by adding the viscous term beyond the Korteweg–de Vries approximation. It is based on the conservation laws of the Korteweg–de Vries-Burgers equation for mass and energy, and assumes that the upstream wavetrains are composed of solitary waves. Our results show that the influence of viscosity plays a key role in determining the upstream solitary wave amplitude of the bore. A good comparison is obtained between the numerical and analytical solutions.

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地形上粘性流动的均匀孤波理论

密度分层流体在障碍物上的流动已经从自然和科学的角度进行了深入探讨。通过使用在粘性流中产生孤子的强制科特韦格-德弗里斯-伯格斯方程，已经成功地对这种流动进行了控制。这是通过在 Korteweg-de Vries 近似之外添加粘性项实现的。它基于 Korteweg-de Vries-Burgers 方程的质量和能量守恒定律，并假设上游波迹由孤子波组成。结果表明，粘度的影响在决定孔道上游孤波振幅方面起着关键作用。数值解与分析解之间有很好的对比。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.