Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes

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	Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes
	Tang, HZ ; Xu, K
	2001-09-01
发表期刊	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN	0044-2275
卷号	52 期号:5 页码:847-858
摘要	This paper is about the pseudo-particle representation and the positivity analysis of an explicit and an implicit Steger and Warming's flux vector splitting (FVS) scheme for the compressible Euler equations. The positivity proof is based on the motion of pseudo-particles. For the explicit scheme, it shows that the density and the internal energy could keep non-negative values under the CFL-like condition for the Steger-Warming FVS scheme once the initial gas stays in a physically realizable state. For the implicit method, under a stronger CFL-like condition, the positivity property can also be preserved.
关键词	Euler equations flux vector splitting positivity
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000171728600008
出版者	BIRKHAUSER VERLAG AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16356
专题	中国科学院数学与系统科学研究院
通讯作者	Tang, HZ
作者单位	1.Chinese Acad Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Tang, HZ,Xu, K. Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2001,52(5):847-858.
APA	Tang, HZ,&Xu, K.(2001).Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,52(5),847-858.
MLA	Tang, HZ,et al."Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 52.5(2001):847-858.