Multi-domain Spectral Immersed Interface Method for Solving Elliptic Equation with a Global Description of Discontinuous Functions

作     者：JIANG Yongsong LIANG An SUN Xiaofeng JING Xiaodong 

作者机构：School of Jet Propulsion Beihang University Beijing 100191 China Department of Compressor Design Shenyang Aeroengine Research Institute Shenyang 110015 China AVIC Commercial Aircrafl Engine Co. Ltd. Shanghai 200241 China 

出 版 物：《Chinese Journal of Aeronautics》 (中国航空学报（英文版）)

年 卷 期：2012年第25卷第3期

页      面：297-310页

核心收录：

学科分类：0810[工学-信息与通信工程] 07[理学] 08[工学] 070104[理学-应用数学] 081001[工学-通信与信息系统] 0701[理学-数学] 

基　　金：National Natural Science Foundation of China(51076006) 

主　　题：computational aerodynamics immersed interface method immersed boundary method Chebyshev spectral method domain decomposition method 

摘      要：This paper presents the extension of the global description approach of a discontinuous function, which is proposed in the previous paper, to a spectral domain decomposition method. This multi-domain spectral immersed interlace method（IIM） divides the whole computation domain into the smooth and discontinuous parts. Fewer points on the smooth domains are used via taking advantage of the high accuracy property of the spectral method, but more points on the discontinuous domains are employed to enhance the resolution of the calculation. Two that the domain decomposition technique can placed around the discontinuity. The present reached, in spite of the enlarged computational discontinuous problems are tested to verify the present method. The results show reduce the error of the spectral IIM, especially when more collocation points are method is t：avorable for the reason that the same level of the accuracy can be domain.