| 具有精确色散性的非线性波浪水平二维数学模型 |
| |
| 引用本文： | 邹志利,金 红.具有精确色散性的非线性波浪水平二维数学模型[J].海洋工程,2012,30(2):38-45. |
| |
| 作者姓名： | 邹志利 金 红 |
| |
| 作者单位： | 1. 大连理工大学,辽宁大连,116024
2. 大连市环境科学设计研究院,辽宁大连,116025 |
| |
| 基金项目： | 国家自然科学基金资助项目，国家创新群体基金资助项目 |
| |
| 摘 要： | 建立具有色散性的水平二维非线性波浪方程,方程的非线性近似到了三阶。方程以波面升高和自由表面速度势表达的微分-积分型数学方程,给出方程的数值求解方法和算例,对方程积分项的处理给出了计算方法。计算结果与Boussinesq方程模型和缓坡方程模型的对应计算结果进行了对比。
|
| 关 键 词： | 精确色散性 非线性 缓坡方程 Boussinesq方程 |
A horizontal 2D nonlinear wave model with accurate dispersion |
| |
| ZOU Zhi-li and JIN Hong.A horizontal 2D nonlinear wave model with accurate dispersion[J].Ocean Engineering,2012,30(2):38-45. |
| |
| Authors: | ZOU Zhi-li and JIN Hong |
| |
| Institution: | 1.Dalian University of Technology,Dalian 116024,China;2.Dalian Design Institute of Environment Science,Dalian 116024,China) |
| |
| Abstract: | A horizontal 2D mathematical model with accurate dispersion for nonlinear water waves is presented.The nonlinearity of the equations is accurate to the third order in terms of wave steepness.The model is a set of differentiation-integral equations,and the corresponding numerical solution method is recommended.Examples of numerical simulations are given and the results are compared with the results of the higher order Boussinesq equations and the mild slope equation. |
| |
| Keywords: | accurate dispersion nonlinearity mild-slope equation Boussinesq equations |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《海洋工程》浏览原始摘要信息 |
| 点击此处可从《海洋工程》下载免费的PDF全文 |
