Research on adaptive fast multipole boundary element method for vortex sheet computation

被引：0
作者：
Gu X.-Z. [1 ,2 ]
Li S.-M. [1 ]
机构：
[1] Nanjing University of Aeronautics & Astronautics, Nanjing
[2] Nanhang Jincheng College, Nanjing
来源：
Chuan Bo Li Xue/Journal of Ship Mechanics | 2020年 / 24卷 / 08期
关键词：
Boundary element method; Computation of the vortex sheet; Fast multiple algorithm; Preconditioning GMRES algorithm; Vortex method;
D O I：
10.3969/j.issn.1007-7294.2020.08.001
中图分类号：
学科分类号：
摘要：
An adaptive fast multipole boundary element method (FMBEM) was introduced into vortex method to develop a fast method for vortex sheet computation. Firstly, the basic formulations of the FMBEM were derived from the Navier-Stokes equations. Based on adaptive tree structure and preconditioned GMRES algorithm, the vortex sheet computation algorithm was designed and programmed. The calculated results of the examples were in accordance with the exact solutions and the experimental values, therefore the validity and stability of the deigned method were verified. Numerical calculation also showed that the adaptive fast multipole boundary element method can significantly improve the computational efficiency, and lower the computer memory requirement. © 2020, Editorial Board of Journal of Ship Mechanics. All right reserved.
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页码：971 / 980
页数：9
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