| 线性与非线性波的Chebyshev广义有限谱模拟 |
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| 引用本文： | 詹杰民,林东,李毓湘. 线性与非线性波的Chebyshev广义有限谱模拟[J]. 物理学报, 2007, 56(7): 3649-3654 |
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| 作者姓名： | 詹杰民 林东 李毓湘 |
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| 作者单位： | (1)香港理工大学土木及结构工程系，香港九龙; (2)中山大学应用力学与工程系，广州 510275; (3)中山大学应用力学与工程系，广州 510275;中山大学近岸海洋工程广东省重点实验室，广州 510275 |
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| 基金项目： | 国家自然科学基金(批准号：40476012)资助的课题. |
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| 摘 要： | 给出求解二维线性与非线性波的Chebyshev广义有限谱模拟方法.结合时间层次的高精度预报-校正方法，模拟了二维线性浅水驻波和波在浅滩的非线性变形.方法能够准确模拟水波的物理特征.关键词：Chebyshev广义有限谱线性波非线性波
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| 关 键 词： | Chebyshev广义有限谱 线性波 非线性波 |
| 文章编号： | 1000-3290/2007/56(07)/3649-06 |
| 收稿时间： | 2006-09-15 |
| 修稿时间： | 2006-09-15 |
Chebyshev generalized finite spectral method for linear and nonlinear waves |
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| Zhan Jie-Men,Lin Dong,Li Yok-Sheng. Chebyshev generalized finite spectral method for linear and nonlinear waves[J]. Acta Physica Sinica, 2007, 56(7): 3649-3654 |
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| Authors: | Zhan Jie-Men Lin Dong Li Yok-Sheng |
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| Abstract: | A Chebyshev generalized finite spectral method is proposed for 2-D linear and nonlinear waves. To attain high accuracy in time discretization, the fourth-order Adams-Bashforth-Moulton predictor and corrector scheme was used. The proposed numerical scheme is validated by applications to the linear shallow water equations and extended Boussinesq equations, where analytical solution and experimental data are available for comparison respectively. Numerical results agree very well with the corresponding analytical solution or experimental data in all cases. |
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| Keywords: | Chebyshev generalized finite spectrum linear wave nonlinear wave |
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