| A fast multipole boundary element method for three-dimensional potential flow problems |
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| 作者姓名： | TENG Bin NING Dezhi GOU Ying |
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| 作者单位： | StateKeyLaboratoryofCoastalandOffshoreEngineering,DalianUniversityofTechnology,Dalian116024,China |
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| 基金项目： | 国家自然科学基金，the Research Foundation for the Doctoral Program of Higher Education of China under contract |
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| 摘 要： | A fast multipole methodology (FMM) is developed as a numerical approach to reduce the computational cost and memory requirements in solving large-scale problems. It is applied to the boundary element method (BEM) for three-dimensional potential flow problems. The algorithm based on mixed multipole expansion and numeric, al integration is implemented in combination with an iterative solver. Numerical examinations, on Dirichlet and Neumann problems, are carried out to demonstrate the capability and accuracy of the present method. It has been shown that the method has evident advantages in saving memory and computing time when used to solve huge-scale problems which may be prohibitive for the traditional BEM implementation.
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| 关 键 词： | 边界元 快速多极法 时间计算 三维潜势流 |
| 收稿时间： | 2004/1/20 0:00:00 |
| 修稿时间： | 2004/8/30 0:00:00 |
A fast multipole boundary element method for three-dimensional potential flow problems |
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| TENG Bin,NING Dezhi,GOU Ying.A fast multipole boundary element method for three-dimensional potential flow problems[J].Acta Oceanologica Sinica,2004,23(4):747-756. |
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| Authors: | TENG Bin NING Dezhi and GOU Ying |
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| Institution: | State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | A fast multipole methodology (FMM) is developed as a numerical approach to reduce the computational cost andmemory requirements in solving large-scale problems. It is applied to the boundary element method (BEM) for three-dimensional potential flow problems. The algorithm based on mixed multipole expansion and numerical integration isimplemented in combination with an iterative solver. Numerical examinations, on Dirichlet and Neumann problems,are carried out to demonstrate the capability and accuracy of the present method. It has been shown that the methodhas evident advantages in saving memory and computing time when used to solve huge-scale problems which may beprohibitive for the traditional BEM implementation. |
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| Keywords: | FMM BEM memory saving computing time potential flow |
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