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TENG Bin,NING Dezhi,GOU Ying. 2004. A fast multipole boundary element method for three-dimensional potential flow problems. Acta Oceanologica Sinica, (4):747－756
A fast multipole boundary element method for three-dimensional potential flow problems
A fast multipole boundary element method for three-dimensional potential flow problems
Received:January 20, 2004  Revised:August 30, 2004
DOI：
Key words:FMM  BEM  memory saving  computing time  potential flow
中文关键词:  FMM  BEM  memory saving  computing time  potential flow
基金项目:
Author NameAffiliationE-mail
TENG Bin State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China bteng@dlut.edu.cn 
NING Dezhi State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China  
GOU Ying 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 and memory requirements in solving large-scale problems.It is applied to the boundary element method (BEM) for threedimensional potential flow problems.The algorithm based on mixed multipole expansion and numerical 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.
中文摘要:
      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 threedimensional potential flow problems.The algorithm based on mixed multipole expansion and numerical 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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