An improved accurate monotonicity-preserving scheme for the Euler equations

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	An improved accurate monotonicity-preserving scheme for the Euler equations
	He ZW; Zhang YS; Gao FJ; Li XL(李新亮); Tian BL
刊名	COMPUTERS & FLUIDS
	2016
通讯作者邮箱	tian_baolin@iapcm.ac.cn
卷号	140 页码:1-10
关键词	Monotonicity-preserving Accuracy-preserving TVD Flux limiter Hyperbolic conservation laws
ISSN号	0045-7930
通讯作者	Tian, BL (reprint author), Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100094, Peoples R China.
产权排序	[He, Zhiwei; Zhang, Yousheng; Gao, Fujie; Tian, Baolin] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100094, Peoples R China; [Li, Xinliang] Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
中文摘要	The accurate monotonicity-preserving (MP) scheme of Suresh and Huynh (1997) [5] is a high-order and high-resolution method for hyperbolic conservation laws. However, the robustness of the MP scheme is not very high. In this paper, a detailed analysis on this scheme is performed, and two potential causes which may account for the weak robustness are revealed. Furthermore, in order to enhance the robustness of the MP scheme, an improved version of the MP scheme is presented, in which a strict continuous total-variation-diminishing (TVD) numerical flux is used at a disturbed discontinuity so that oscillations cannot grow indefinitely without violating the TVD condition. Without destroying the very high resolution property, numerical tests show that the improved scheme shares a strong robustness in simulating extreme numerical tests. (C) 2016 Elsevier Ltd. All rights reserved.
分类号	二类
类目[WOS]	Computer Science, Interdisciplinary Applications ; Mechanics
研究领域[WOS]	Computer Science ; Mechanics
关键词[WOS]	Monotonicity-preserving ; Accuracy-preserving ; TVD ; Flux limiter ; Hyperbolic conservation laws
收录类别	SCI ; EI
原文出处	http://dx.doi.org/10.1016/j.compfluid.2016.09.002
语种	英语
WOS记录号	WOS:000388048400001
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/59952]
专题	力学研究所_高温气体动力学国家重点实验室
推荐引用方式 GB/T 7714	He ZW,Zhang YS,Gao FJ,et al. An improved accurate monotonicity-preserving scheme for the Euler equations[J]. COMPUTERS & FLUIDS,2016,140:1-10.
APA	He ZW,Zhang YS,Gao FJ,李新亮,&Tian BL.(2016).An improved accurate monotonicity-preserving scheme for the Euler equations.COMPUTERS & FLUIDS,140,1-10.
MLA	He ZW,et al."An improved accurate monotonicity-preserving scheme for the Euler equations".COMPUTERS & FLUIDS 140(2016):1-10.