一种新型二阶全非线性Boussinesq方程及其数值验证  

A New Form of Second-Order Fully Nonlinear Boussinesq Wave Equation and Its Numerical Validation

作　　者：胡金鹏[1,2] 朱良生[1] 

机构地区：[1]LED,中国科学院南海海洋研究所 [2]中国科学院研究生院,北京100049

出　　处：《海洋通报》2007年第1期82-88,共7页Marine Science Bulletin

基　　金：国家自然科学基金资助项目(40276030);国防专题资助项目(703-02-02-01)

摘　　要：通过改进二阶全非线性Boussinesq波浪方程中的色散项,得到了一组没有改变原方程的数学形式但适用于更大变化水深的新方程,其色散性能和变浅性能都比原方程有了很大改进,所适用的水深范围更大,能更好地描述从深水到近岸浅水处的波浪传播;并基于新方程建立了波浪数值模型,通过模拟波浪从浅水到深水的传播变形来验证新方程的有效性。In this paper, a new form of second-order fully nonlinear Boussinesq wave equation, which is applied to deeper water, is established through changing dispersion terms of a set of extended ones, with linear dispersion and shoaling properties improved and without having its mathematical form changed. The new equation is fit for deeper water and can give better results of wave transformation from deep to shallow water. A simple numerical model is established to show the effectiveness of the new equations when waves translate from deep to shallow water.

关 键 词：BOUSSINESQ方程 色散性 变浅性 数值模型 

分 类 号：TV13[水利工程—水力学及河流动力学]