| High Order Numerical Code for Hyperbolic Mild-slope Equations with Nonlinear Dispersion Relation |
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| 作者姓名： | IU Zhongbo ZHANG Rixiang CHEN Bing |
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| 作者单位： | [1]The Transportation ＆ Logistics College, Dalian Maritime University, Dalian 116026, P. R. China [2]Dalian University of Technology, Dalian 116024, P. R. China |
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| 摘 要： | Based on the hyperbolic mild-slope equations derived by Copeland (1985), a numerical model is established in unstag- gered grids. A composite 4 th-order Adam-Bashforth-Moulton (ABM) scheme is used to solve the model in the time domain. Terms involving the first order spatial derivatives are differenced to O ( Δx )4accuracy utilizing a five-point formula. The nonlinear dispersion relationship proposed by Kirby and Dalrymple (1986) is used to consider the nonlinear effect. A numerical test is performed upon wave propagating over a typical shoal. The agreement between the numerical and the experimental results validates the present model. Biodistribution and applications are also summarized.
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| 关 键 词： | 双曲线方程式 数字密码 实验研究 海洋 |
| 收稿时间： | 13 September 2005 |
| 修稿时间： | 2005-09-13 |
High order numerical code for hyperbolic mild-slope equations with nonlinear dispersion relation |
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| IU Zhongbo ZHANG Rixiang CHEN Bing.High Order Numerical Code for Hyperbolic Mild-slope Equations with Nonlinear Dispersion Relation[J].Journal of Ocean University of China,2007,6(4):421-423. |
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| Authors: | Liu Zhongbo Zhang Rixiang Chen Bing |
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| Institution: | 1. The Transportation & Logistics College, Dalian Maritime University, Dalian 116026, P. R. China
2. Dalian University of Technology, Dalian 116024, P. R. China |
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| Abstract: | Based on the hyperbolic mild-slope equations derived by Copeland (1985), a numerical model is established in unstaggered grids.
A composite 4 th-order Adam-Bashforth-Moulton (ABM) scheme is used to solve the model in the time domain. Terms involving
the first order spatial derivatives are differenced to O(Δx)4 accuracy utilizing a five-point formula. The nonlinear dispersion relationship proposed by Kirby and Dalrymple (1986) is
used to consider the nonlinear effect. A numerical test is performed upon wave propagating over a typical shoal. The agreement
between the numerical and the experimental results validates the present model. Biodistribution and applications are also
summarized. |
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| Keywords: | hyperbolic mild-slope equations Adams-Bashforth-Moulton scheme nonlinear dispersion property wave |
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