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Multi-domain Spectral Immersed Interface Method for Solving Elliptic Equation with a Global Description of Discontinuous Functions
Alternative TitleMulti-domain Spectral Immersed Interface Method for Solving Elliptic Equation with a Global Description of Discontinuous Functions
Jiang Yongsong1; Liang An3; Sun Xiaofeng1; Jing Xiaodong1
2012
Source PublicationCHINESE JOURNAL OF AERONAUTICS
ISSN1000-9361
Volume25Issue:3Pages:297-310
AbstractThis 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.
Other AbstractThis 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.
KeywordBOUNDARY 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
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Foundation of China]
CSCD IDCSCD:4568807
Citation statistics
Cited Times:1[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/146175
Collection中国科学院金属研究所
Affiliation1.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
Recommended Citation
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.
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