中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
A second-order numerical method for elliptic equations with singular sources using local filter

文献类型:期刊论文

作者Jiang Yongsong1; Fang Le2; Jing Xiaodong2; Sun Xiaofeng2; Francis Leboeuf4
刊名CHINESE JOURNAL OF AERONAUTICS
出版日期2013
卷号26期号:6页码:1398-1408
关键词IMMERSED INTERFACE METHOD SMOOTHED PARTICLE HYDRODYNAMICS BOUNDARY METHOD DISCONTINUOUS COEFFICIENTS GLOBAL DESCRIPTION FLOW ORDER SIMULATION ACCURACY Computational aerodynamics Immersed boundary method Immersed interface method Kernel filter Singular source
ISSN号1000-9361
其他题名A second-order numerical method for elliptic equations with singular sources using local filter
英文摘要The presence of Dirac delta function in differential equation can lead to a discontinuity, which may degrade the accuracy of related numerical methods. To improve the accuracy, a second-order numerical method for elliptic equations with singular sources is introduced by employing a local kernel filter. In this method, the discontinuous equation is convoluted with the kernel function to obtain a more regular one. Then the original equation is replaced by this filtered equation around the singular points, to obtain discrete numerical form. The unchanged equations at the other points are discretized by using a central difference scheme. 1D and 2D examples are carried out to validate the correctness and accuracy of the present method. The results show that a second-order of accuracy can be obtained in the filtering framework with an appropriate integration rule. Furthermore, the present method does not need any jump condition, and also has extremely simple form that can be easily extended to high dimensional cases and complex geometry. (C) 2013 Production and hosting by Elsevier Ltd. on behalf of CSAA & BUAA.
资助项目[National Natural Science Foundation in China] ; [BUAA SJP "111'' Program] ; [National Basic Research Program of China] ; [Open Research Fund of MOE Key Laboratory of High-speed Railway Engineering, Southwest Jiaotong University] ; [European Community's Seventh Framework Program]
语种英语
CSCD记录号CSCD:5027626
源URL[http://ir.imr.ac.cn/handle/321006/147664]  
专题金属研究所_中国科学院金属研究所
作者单位1.中国科学院金属研究所
2.北京航空航天大学
3.西南交通大学
4.University Lyon, Ecole Cent Lyon, Lab Mecan Fluides & Acoust, F-69134 Ecully, France
推荐引用方式
GB/T 7714
Jiang Yongsong,Fang Le,Jing Xiaodong,et al. A second-order numerical method for elliptic equations with singular sources using local filter[J]. CHINESE JOURNAL OF AERONAUTICS,2013,26(6):1398-1408.
APA Jiang Yongsong,Fang Le,Jing Xiaodong,Sun Xiaofeng,&Francis Leboeuf.(2013).A second-order numerical method for elliptic equations with singular sources using local filter.CHINESE JOURNAL OF AERONAUTICS,26(6),1398-1408.
MLA Jiang Yongsong,et al."A second-order numerical method for elliptic equations with singular sources using local filter".CHINESE JOURNAL OF AERONAUTICS 26.6(2013):1398-1408.

入库方式: OAI收割

来源:金属研究所

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