A two-layer approach to wave modelling
A two-layer approach to wave modelling
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DOI：
10.1098/rspa.2004.1305
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发表时间：
2004-09-08
影响因子：
3.5
通讯作者：
Liu, PLF
中科院分区：
文献类型：
--
作者：
Lynett, P;Liu, PLF
通过对原始运动方程在任意两层中的分段积分，得到了一组水波传播的模型方程。在每一层内，得到一个独立的速度剖面。由于在两层交界处匹配了两个单独的速度剖面，因此得到的方程组有三个自由参数，允许进行具有已知水波分析性质的优化。优化后的模型方程在kh近似为6时表现出良好的线性波动特性，而二阶非线性行为也被捕捉到kh近似为6时。提出了一种求解模型方程的数值算法，并在一维和二维情况下进行了试验。与实验室数据的一致性很好。
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 approximate to 6, while the second-order nonlinear behaviour is captured to kh approximate to 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.