A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations

doi:10.1016/j.jcp.2006.03.019

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	A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations
	Wen, Xin
	2006-11-20
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	219 期号:1 页码:322-390
摘要	We propose a simple well-balanced method named the slope selecting method which is efficient in both steady state capturing and preserving for hyperbolic system with geometrical source terms having concentrations. Physical problems under consideration include the shallow water equations with discontinuous topography, and the quasi-one-dimensional nozzle flows with discontinuous cross-sectional area. This method is an extension from the interface type method developed in [S. Jin, X. Wen, An efficient method for computing hyperbolic systems with geometrical source terms having concentrations, J. Comput. Math. 22 (2004) 230-249]. The slope selecting method keeps two merits of the previous method. It can be applied when the homogeneous system solver is available and has efficient steady state capturing property. Compared with the previous method, the slope selecting method has two improvements. One is this method also has satisfactory steady state preserving property. The other is this method can be applied to any conservative scheme for the homogeneous system. Numerical examples provide strong evidence on the effectiveness of this slope selecting method for various unsteady, steady and quasi-steady state solutions calculations as well as the flexibility of this method of being applicable to any conservative scheme for the homogeneous system. (c) 2006 Elsevier Inc. All rights reserved.
关键词	shallow water equations nozzle flow equations discontinuous topography well-balanced scheme surface gradient method shock capturing
DOI	10.1016/j.jcp.2006.03.019
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000242332500020
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2777
专题	中国科学院数学与系统科学研究院
通讯作者	Wen, Xin
作者单位	Chinese Acad Sci, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wen, Xin. A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2006,219(1):322-390.
APA	Wen, Xin.(2006).A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations.JOURNAL OF COMPUTATIONAL PHYSICS,219(1),322-390.
MLA	Wen, Xin."A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations".JOURNAL OF COMPUTATIONAL PHYSICS 219.1(2006):322-390.