Regularization fast multipole boundary element method for solving potential flow problems

ZHAI Jie; ZHU Baoshan; CAO Shuliang

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Journal of Tsinghua University(Science and Technology) ›› 2015, Vol. 55 ›› Issue (7) : 797-802.

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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.

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

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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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