快速多极子边界元法在三维势流问题中应用  

Application of fast multipole boundary element method to 3-D potential flow problem

作　　者：宁德志[1] 滕斌[1] 勾莹 

机构地区：[1]大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024

出　　处：《大连理工大学学报》2005年第2期243-247,共5页Journal of Dalian University of Technology

基　　金：国家杰出青年基金资助项目(50025924).

摘　　要：以Rankin源为基本解,采用快速多极子方法加速后边界元法求解由格林第二公式导出的三维势流边界积分方程,进而计算其势场的分布.无限区域中水流绕射算例的数值计算证明,多极子边界元法能给出满意的结果,与传统边界元方法在运算速度和内存消耗上相比具有明显的优势,表明其适合于在现有的计算条件下求解大尺度多未知量势流问题.Using the Rankin source as basic solution, the boundary element method (BEM) is accelerated by the fast multipole method and applied to solve the boundary integral equation for 3-D potential flow problem with respect to Green's second identity, and then the distribution of potential field is calculated. The calculation results, on the flow diffraction from a solid sphere in an unbounded domain, agree well with the analytical solutions. They also show that FMM BEM is much faster and more efficient than the traditional BEM in the computational cost and the storage of the computer, and is suggested for use in large-scale and numerous unknown parameter potential flow problems.

关 键 词：快速多极子 边界元法 势流问题 应用 边界积分方程 边界元方法 三维势流 数值计算 无限区域 运算速度 计算条件 基本解 未知量 大尺度 求解 算例 绕射 势场 

分 类 号：O343[理学—固体力学] TN011[理学—力学]