波浪建模的两层方法

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences Pub Date : 2004-09-08 DOI:10.1098/rspa.2004.1305

P. Lynett, P. Liu

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引用次数: 208

摘要

通过对任意两层的原始运动方程进行分段积分，导出了一组水波传播模型方程。在每一层中，推导出一个独立的速度剖面。两个独立的速度剖面，在两层的界面处匹配，得到的方程集有三个自由参数，允许对已知的水波分析特性进行优化。优化后的模型方程在kh≈6范围内表现出良好的线性波动特性，同时在kh≈6范围内也表现出二阶非线性特性。提出了一种求解模型方程的数值算法，并对一维和二维情况进行了测试。与实验室数据的一致性非常好。

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A two-layer approach to wave modelling

A set of model equations for water–wave propagation is derived by piecewise integration of the primitive equations of motion through two arbitrary layers. Within each layer, an independent velocity profile is derived. With two separate velocity profiles, matched at the interface of the two layers, the resulting set of equations has three free parameters, allowing for an optimization with known analytical properties of water waves. The optimized model equations show good linear wave characteristics up to kh ≈ 6, while the second–order nonlinear behaviour is captured to kh ≈ 6 as well. A numerical algorithm for solving the model equations is developed and tested against one– and two–horizontal–dimension cases. Agreement with laboratory data is excellent.

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Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

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期刊介绍： Proceedings A publishes articles across the chemical, computational, Earth, engineering, mathematical, and physical sciences. The articles published are high-quality, original, fundamental articles of interest to a wide range of scientists, and often have long citation half-lives. As well as established disciplines, we encourage emerging and interdisciplinary areas.