势流问题边界积分方程的几种解法对比  

Comparison of solving methods for boundary integral equation of potential flow

作　　者：宁德志[1] 滕斌[1] 张晓兔[1] 郝春玲[2] 赵海涛[2] 

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 [2]国家海洋局第二海洋研究所,浙江杭州310000

出　　处：《辽宁工程技术大学学报（自然科学版）》2005年第6期835-837,共3页Journal of Liaoning Technical University (Natural Science)

基　　金：长江学者和创新团队发展计划资助项目(IRT0420)高等学校博士点专项科研基金资助项目(20030141006)~博士后基金资助项目(2003034359)

摘　　要：为了求解势流问题边界积分方程,以简单格林函数为基函数建立了势流问题边界积分方程,并对求解积分方程的几种数值方法一直接法,迭代法和多极子方法进行了理论分析和介绍,通过无限静水面下一偶极子作用问题的数值计算,对上述几种方法的运算速度和内存消耗进行了分析对比,结果表明快速多极子方法比另外两种计算方法在计算量和计算机存储量方面更加优越,可以分别降低到近似O(N)数量级,建议将快速多极子方法应用于大型计算问题中。In order to solve the boundary integral equation of potential flow, based on the simple Green function, the boundary integral equation for potential problem is established in this paper. Several numerical solving methods for boundary integral equations, including direct method, iterative method and fast multipole method （FMM） are theoretically introduced. The calculation results, on a dipole below an infinite flat plane, show that FMM is superior to the others in the computation cost and the storage of the computer, and they can be decreased to about O（N） respectively. FMM is suggested for use in large-scale problems.

关 键 词：边界积分方程 直接法 迭代法 快速多极子展开法 

分 类 号：O353.2[理学—流体力学]