Regularization fast multipole boundary element method for solving potential flow problems

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Abstract The fast multipole method and the regularization algorithm are combined to process the strong singular integral in the conventional boundary element method for potential flow problems. This method reduces the number of calculations and the storage which increases sharply with the number of elements in the conventional boundary element method. This method can also handle strongly singular integrals for calculating the velocities and the velocity gradient for potential flow by directly differentiating the boundary integral equation. The method is applied to simulate potential flow over a sphere. The results show that this method is accurate and efficient. This model is used to analyze the influence of the calculation parameters for other complicated boundary condition problems.

Keywords potential problem boundary element method (BEM) fast multipole method (FMM) regularization algorithm

ZTFLH:

O351.3

Issue Date: 15 July 2015

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	ZHAI Jie
	ZHU Baoshan
	CAO Shuliang

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ZHAI Jie,ZHU Baoshan,CAO Shuliang. Regularization fast multipole boundary element method for solving potential flow problems[J]. Journal of Tsinghua University(Science and Technology), 2015, 55(7): 797-802.

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http://jst.tsinghuajournals.com/EN/ OR http://jst.tsinghuajournals.com/EN/Y2015/V55/I7/797

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