| 浅水非线性波的数值模拟 |
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| 引用本文： | 赵广慧,张年梅,杨桂通.浅水非线性波的数值模拟[J].太原理工大学学报,2006,37(1):19-21,25. |
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| 作者姓名： | 赵广慧 张年梅 杨桂通 |
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| 作者单位： | 太原理工大学,应用力学研究所,山西,太原,030024 |
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| 基金项目： | 山西省青年基金;太原理工大学校科研和教改项目 |
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| 摘 要： | 在交错网格上构造了求解非线性Boussinesq方程的紧致差分格式，此格式可以在只用到三个网格结点的情况下，达到空间四阶精度。利用这个格式，对浅水非线性波的传播过程进行数值模拟，并将此数值模型应用于求解线性、非线性渡过双突堤的绕射问题，研究了非线性对水波绕射的影响。结果表明，由于非线性对流项的作用，使得非线性渡较之线性波具有更强的散射性，因此在港口工程中，应该考虑非线性效应的影响。
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| 关 键 词： | 浅水非线性波 Boussinesq方程 紧致差分格式 |
| 文章编号： | 1007-9432（2006）01-0019-03 |
| 收稿时间： | 2005-02-24 |
| 修稿时间： | 2005-02-24 |
Numerical Simulation of Nonlinear Wave in Shallow Water |
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| ZHAO Guang-hui,ZHANG Nian-mei,YANG Gui-tong.Numerical Simulation of Nonlinear Wave in Shallow Water[J].Journal of Taiyuan University of Technology,2006,37(1):19-21,25. |
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| Authors: | ZHAO Guang-hui ZHANG Nian-mei YANG Gui-tong |
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| Institution: | Institute of Applied Mechanics, Tai yuan University of Technology, Taiyuan 030024 ,China |
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| Abstract: | The compact difference scheme for two dimensional Boussinesq equation is given on a staggered grid. This scheme could reach fourth-order accuracy in space by only using three grid points. Using the compact difference scheme, the propogation of nonlinear wave in shallow water has been simulated. The mathematical model of this paper has also been used to simulate the diffraction of the linear and nonlinear wave, and the effect of nonlinearity on wave diffraction was studied. |
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| Keywords: | nonlinear wave in shallow water Boussinesq equation compact scheme |
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