Numerical simulation of solitary waves on plane slopes
Numerical simulation of solitary waves on plane slopes
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平面斜坡上孤立波的数值模拟
DOI：
10.1016/j.matcom.2005.01.005
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
D. Nicholls
中科院分区：
文献类型：
--
作者：
P. Guyenne;D. Nicholls
本文提出了一种计算海底地形表面水波的数值方法。它是基于狄利克雷-诺伊曼算子在表面和底部变化方面的级数展开表示。这种方法使用快速傅里叶变换计算效率很高。作为一种应用，我们进行了在平面斜坡上传播的孤立波的计算，并将结果与边界元法得到的结果进行了比较。这两种方法之间有很好的一致性。
In this paper, we present a numerical method for the computation of surface water waves over bottom topography. It is based on a series expansion representation of the Dirichlet–Neumann operator in terms of the surface and bottom variations. This method is computationally very efficient using the fast Fourier transform. As an application, we perform computations of solitary waves propagating over plane slopes and compare the results with those obtained from a boundary element method. A good agreement is found between the two methods.