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

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	Multi-domain Spectral Immersed Interface Method for Solving Elliptic Equation with a Global Description of Discontinuous Functions
其他题名	Multi-domain Spectral Immersed Interface Method for Solving Elliptic Equation with a Global Description of Discontinuous Functions
	Jiang Yongsong 1; Liang An 3; Sun Xiaofeng 1; Jing Xiaodong 1
	2012
发表期刊	CHINESE JOURNAL OF AERONAUTICS
ISSN	1000-9361
卷号	25 期号:3 页码:297-310
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 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.
其他摘要	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 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.
关键词	BOUNDARY METHOD GIBBS PHENOMENON SINGULAR SOURCES JUMP CONDITIONS FLOW ACCURACY ORDER COEFFICIENTS SCHEMES HEART computational aerodynamics immersed interface method immersed boundary method Chebyshev spectral method domain decomposition method
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China]
CSCD记录号	CSCD:4568807
引用统计	被引频次：1[CSCD] [CSCD记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/146175
专题	中国科学院金属研究所
作者单位	1.北京航空航天大学 2.中国科学院金属研究所 3.AVIC Commercial Aircraft Engine Co Ltd, Shanghai 200241, Peoples R China
推荐引用方式 GB/T 7714	Jiang Yongsong,Liang An,Sun Xiaofeng,et al. Multi-domain Spectral Immersed Interface Method for Solving Elliptic Equation with a Global Description of Discontinuous Functions[J]. CHINESE JOURNAL OF AERONAUTICS,2012,25(3):297-310.
APA	Jiang Yongsong,Liang An,Sun Xiaofeng,&Jing Xiaodong.(2012).Multi-domain Spectral Immersed Interface Method for Solving Elliptic Equation with a Global Description of Discontinuous Functions.CHINESE JOURNAL OF AERONAUTICS,25(3),297-310.
MLA	Jiang Yongsong,et al."Multi-domain Spectral Immersed Interface Method for Solving Elliptic Equation with a Global Description of Discontinuous Functions".CHINESE JOURNAL OF AERONAUTICS 25.3(2012):297-310.