| 非线性波传播的新型数值模拟模型及其实验验证 引入变换速度变量 |
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| 引用本文： | 张洪生,冯文静,商辉.非线性波传播的新型数值模拟模型及其实验验证 引入变换速度变量[J].海洋学报,2007,29(5):161-173. |
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| 作者姓名： | 张洪生 冯文静 商辉 |
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| 作者单位： | 上海交通大学, 船舶海洋与建筑工程学院, 上海, 200030 |
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| 摘 要： | 以一种新型的含变换速度变量的Boussinesq型方程为控制方程组,采用五阶Runge-Kutta-England格式离散时间积分,采用七点差分格式离散空间导数,并采用恰当的出流边界条件,从而建立了非线性波传播的新型数值模拟模型.对均匀水深水域内波浪传播的数值模拟,说明在引入变换速度后进一步增大了模型的水深适用范围.对潜堤地形上波浪传播的数值模拟说明,在引入变换速度后进一步提高了模型的数值模拟精度.
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| 关 键 词： | 数值模拟 新型Boussinesq型方程 变换速度变量 非线性波 潜堤 |
| 文章编号： | 0253-4193（2007）05-0161-13 |
| 收稿时间： | 2006/8/21 0:00:00 |
| 修稿时间： | 2006-08-21 |
A new approach to numerical simulation of nonlinear wave propagation and its experimental verification Introducing utility velocity variables |
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| ZHANG Hong-sheng,FENG Wen-jing and SHANG Hui.A new approach to numerical simulation of nonlinear wave propagation and its experimental verification Introducing utility velocity variables[J].Acta Oceanologica Sinica (in Chinese),2007,29(5):161-173. |
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| Authors: | ZHANG Hong-sheng FENG Wen-jing and SHANG Hui |
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| Institution: | School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, China |
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| Abstract: | A numerical model is developed with a new type of Boussinesq equations including utility velocity variables employed as the governing equations.In the present model,the seven-point finite difference scheme is used to discretize the spatial derivatives,the fifth-order Runge-Kutta-England scheme is employed to perform the time integration,and the appropriate outflow boundary condition is adopted.Systematic numerical modeling of wave propagation is performed with uniform depth from shallow to deep water and from linear to nonlinear waves.The calculation results show that the present numerical model with utility velocity variables is valid for greater water depth than that without utility velocity variables.The numerical simulation of wave propagation is also performed in a wave tank with a submerged dike,and the comparisons between experimental data and numerical solutions are made.The calculation results show that the present numerical model is more accurate than that without utility velocity variables. |
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| Keywords: | numerical simulation new type Boussinesq equations utility velocity variables nonlinear waves submerged dike |
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