An improved accurate monotonicity-preserving scheme for the Euler equations

doi:10.1016/j.compfluid.2016.09.002

	An improved accurate monotonicity-preserving scheme for the Euler equations
	He ZW; Zhang YS; Gao FJ; Li XL(李新亮); Tian BL; Tian, BL (reprint author), Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100094, Peoples R China.
发表期刊	COMPUTERS & FLUIDS
	2016
卷号	140 页码:1-10
ISSN	0045-7930
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.
关键词	Monotonicity-preserving Accuracy-preserving Tvd Flux Limiter Hyperbolic Conservation Laws
DOI	10.1016/j.compfluid.2016.09.002
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000388048400001
关键词[WOS]	Monotonicity-preserving ; Accuracy-preserving ; TVD ; Flux limiter ; Hyperbolic conservation laws
WOS研究方向	Computer Science ; Mechanics
WOS类目	Computer Science, Interdisciplinary Applications ; Mechanics
项目资助者	NSFC [11171037, 11472059, 11372330, 11572052, 11472278] ; Key Lab Foundation [91400690104150069] ; CAEP [YZ2015015]
课题组名称	LHD可压缩湍流
论文分区	二类
引用统计	被引频次：18[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/59952
专题	高温气体动力学国家重点实验室
通讯作者	Tian, BL (reprint author), Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100094, Peoples R China.
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,&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.

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