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

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文摘 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 interface 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 discontinuous problems are tested to verify the present method. The results show that the domain decomposition technique can reduce the error of the spectral IIM, especially when more collocation points are placed around the discontinuity. The present method is favorable for the reason that the same level of the accuracy can be reached, in spite of the enlarged computational domain.
来源 Chinese Journal of Aeronautics ,2012,25(3):297-310 【核心库】
DOI 10.1016/s1000-9361(11)60391-9
关键词 computational aerodynamics ; immersed interface method ; immersed boundary method ; Chebyshev spectral method ; domain decomposition method
地址

1. School of Jet Propulsion, Beihang University, Beijing, 100191  

2. AVIC Commercial Aircraft Engine Co., Ltd., Shanghai, 200241

语种 英文
文献类型 研究性论文
ISSN 1000-9361
学科 航空
基金 国家自然科学基金
文献收藏号 CSCD:4568807

参考文献 共 27 共2页

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引证文献 1 篇

1 Jiang Yongsong A second-order numerical method for elliptic equations with singular sources using local filter Chinese Journal of Aeronautics,2013,26(6):1398-1408
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