%0 Journal Article
%T 求解势流的正则化快速多极子边界元法<br>Regularization fast multipole boundary element method for solving potential flow problems
%A 翟杰
%A 祝宝山
%A 曹树良
%J 清华大学学报（自然科学版）
%D 2015
%X 该文将快速多极子算法和处理强奇异积分的正则化算法应用于传统边界元法中, 开发了正则化快速多极子边界元法。该方法既可以解决传统边界元法计算量和存储量会随着单元数量的增加而快速增加的问题, 也可以处理边界元法求解势流速度和速度梯度时产生的强奇异性积分问题。将所开发的方法应用于绕球势流的数值计算中, 计算结果证明了方法的可靠性和高效性; 对相关计算参数影响的分析为复杂边界流动问题的计算提供了参考依据。<br>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.
%K 势流问题
%K 边界元法
%K 快速多极子法
%K 正则化算法
%K &lt
%K br&gt
%K potential problem
%K boundary element method (BEM)
%K fast multipole method (FMM)
%K regularization algorithm
%U http://jst.tsinghuajournals.com/CN/Y2015/V55/I7/797