| FMBEM求解直圆柱线性波绕射问题 |
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| 引用本文： | 林志良.FMBEM求解直圆柱线性波绕射问题[J].中国科学:物理学 力学 天文学,2011(2):155-160. |
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| 作者姓名： | 林志良 |
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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海洋工程国家重点试验室; |
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| 基金项目： | 国家自然科学基金资助项目(批准号:50739004,50509016) |
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| 摘 要： | 运用快速多极子边界元法(Fast Multipole Boundary Element Method,FMBEM)求得单圆柱在线性波浪中的绕射问题的数值解.所谓的快速多极子边界元法就是采用快速多极子法(Fast Multipole Method,FMM)加速传统边界元法的求解速度.在文中通过求解二维的Helmholtz方程证明FMBEM法具有高精度和高效率,适用于求解大规模的数值问题.另外,给出了单圆柱线性平面波绕射问题中相关水动力学系数的数值计算结果.
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| 关 键 词： | 快速多极子边界元法 波浪绕射 Helmholtz方程 |
Diffraction of linear waves around a vertical circular cylinder using the FMBEM |
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| LIN ZhiLiang State Key Lab of Ocean Engineering School of Naval Architecture Ocean , Civil Engineering,Shanghai JiaoTong University Shanghai ,China.Diffraction of linear waves around a vertical circular cylinder using the FMBEM[J].Scientia Sinica Pysica,Mechanica & Astronomica,2011(2):155-160. |
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| Authors: | LIN ZhiLiang State Key Lab of Ocean Engineering School of Naval Architecture Ocean Civil Engineering Shanghai JiaoTong University Shanghai China |
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| Institution: | LIN ZhiLiang State Key Lab of Ocean Engineering School of Naval Architecture Ocean and Civil Engineering,Shanghai JiaoTong University Shanghai 200240,China |
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| Abstract: | A numerical solution for the diffraction of linear waves around a vertical cylinder is presented in this paper using the fast multipole boundary element method (FMBEM). The fast multipole method (FMM) is employed to accelerate the traditional boundary element method. The accuracy and efficiency of the FMBEM for 2D Helmholtz equation is demonstrated,and it's proved that this approach is suitable for solving large-scaled problems. In addition,numerical results of water dynamics coefficients,which are related ... |
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| Keywords: | fast multipole boundary element method wave diffraction Helmholtz equation |
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