| Application of A Fast Multipole BIEM for Flow Diffraction from A 3D Body |
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| 作者姓名： | 滕斌 宁德志 |
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| 作者单位： | StateKeyLaboratoryofCoastalandOffshoreEngineering,DalianUniversityofTechnology,Dalian116024,China |
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| 基金项目： | ThepresentworkisfinanciallysupportedbytheNationalNaturalScienceFoundationofChina(GrantNo .50025924)andtheResearchFundfortheDoctoralProgramofHigherEducation (GrantNo .2 0 0 30 14 10 0 6 ) |
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| 摘 要： | A Fast Multipole Method (FMM) is developed as a numerical approach to the reduction of the computational cost and requirement memory capacity for a large in solving large-scale problems. In this paper it is applied to the boundary integral equation method (BIEM) for current diffraction from arbitrary 3D bodies. The boundary integral equation is discretized by higher order elements, the FMM is applied to avoid the matrix/vector product, and the resulting algebraic equation is solved by the Generalized Conjugate Residual method (GCR). Numerical examination shows that the FMM is more efficient than the direct evaluation method in computational cost and storage of computers.
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| 关 键 词： | 多极法 边界积分方程法 通用共轭残余法 电流衍射 流体势能 |
Application of A Fast Multipole BIEM for Flow Diffraction from A 3D Body |
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| TENG Bin and NING De-zhi State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian ,China.Application of A Fast Multipole BIEM for Flow Diffraction from A 3D Body[J].China Ocean Engineering,2004,18(2):291-298. |
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| Authors: | TENG Bin and NING De-zhi State Key Laboratory of Coastal and Offshore Engineering Dalian University of Technology Dalian China |
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| Institution: | TENG Bin 1 and NING De-zhi State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116024,China |
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| Abstract: | A Fast Multipole Method (FMM) is developed as a numerical approach to the reduction of the computational cost and requirement memory capacity for a large in solving large-scale problems. In this paper it is applied to the boundary integral equation method (BIEM) for current diffraction from arbitrary 3D bodies. The boundary integral equation is discretized by higher order elements, the FMM is applied to avoid the matrix/vector product, and the resulting algebraic equation is solved by the Generalized Conjugate Residual method (GCR). Numerical examination shows that the FMM is more efficient than the direct evaluation method in computational cost and storage of computers. |
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| Keywords: | fast multipole method boundary integral equation method generalized conjugate residual method current diffraction |
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