| 三维海洋波导中HelmHoltz方程外问题的数值解 |
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| 引用本文： | 尤云祥,潘文峰,缪国平.三维海洋波导中HelmHoltz方程外问题的数值解[J].上海交通大学学报,2007,41(5):830-834,839. |
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| 作者姓名： | 尤云祥 潘文峰 缪国平 |
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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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| 基金项目： | 全国高等学校优秀博士学位论文作者专项基金;上海市教委"曙光计划" |
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| 摘 要： | 研究了三维海洋波导中障碍物的声散射问题.基于Galerkin变分原理和DtN映射方法,发展了数值求解这类声散射问题的一种自然边界元与有限元耦合的求解方法,并提出了有效的数值实现方法.该方法避开了常规有限元中需要采用吸收边界的缺点,对多种形状障碍物的数值计算结果表明了所建立的理论方法是有效的.
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| 关 键 词： | 海洋波导 声散射 有限元 自然边界元 |
| 文章编号： | 1006-2467（2007）05-0830-05 |
| 收稿时间： | 2006-05-24 |
| 修稿时间： | 2006年5月24日 |
The Numerical Solution for the Exterior Problem of the Helmholtz Equation in 3D Ocean Waveguide |
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| YOU Yun-xiang,PAN Wen-feng,MIAO Guo-ping.The Numerical Solution for the Exterior Problem of the Helmholtz Equation in 3D Ocean Waveguide[J].Journal of Shanghai Jiaotong University,2007,41(5):830-834,839. |
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| Authors: | YOU Yun-xiang PAN Wen-feng MIAO Guo-ping |
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| Abstract: | This paper studied the acoustic scattering problem by a three dimensional obstacle in a shallow water waveguide.A coupling method of the finite-element and natural boundary-element was analyzed and presented for solving numerically the acoustic scattering problem based on the Galerkin variational principle and the DtN mapping theory.The proposed method can avoid absorbing boundary condition for the conventional finite-element method.Numerical examples are given of successfully computational results for several 3D obstacles having a variety of shapes. |
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| Keywords: | ocean waveguide acoustic scattering finite-element natural boundary element |
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