Regularization fast multipole boundary element method for solving potential flow problems

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. ©, 2015, Press of Tsinghua University. All right reserved.