Boussinesq-type modeling in surf zone using mesh-less least-square-based finite difference method

被引：0
|
作者：
Wang B.-L. [1 ]
Zhu Y.-Q. [2 ]
Song Z.-P. [2 ]
Liu H. [1 ]
机构：
[1] Department of Engineering Mechanics, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai
[2] Earthquake Administration of Shanghai Municipality, Shanghai
来源：
Journal of Hydrodynamics | 2006年 / 18卷 / Suppl 1期
基金：
中国国家自然科学基金;
关键词：
boussinesq equations; meshless method; runup; wave;
D O I：
10.1007/BF03400429
中图分类号：
学科分类号：
摘要：
Combining mesh-less finite difference method and least square approximation, a new numerical model is developed for highly dispersive and fully nonlinear Boussinesq equations in two horizontal dimensions. The 3rd order truncated series solution of the Laplace equation is employed to approximate the velocity distribution in the vertical plane. The linear properties of the wave model are discussed with Fourier analysis. It is shown that the model is suitable to predict the propagation of water waves at the range of 0 ≤ kh ≤ 10 for both the linear dispersion characteristic and shoaling gradient. Preliminary verifications of the numerical model are given for nonlinear wave shoaling problems, wave run-up on conical island. The numerical results agree well with the experimental data available in the literature. © 2006, China Ship Scientific Research Center.
引用
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页码：89 / 92
页数：3
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