A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows

doi:10.1016/j.compfluid.2021.105021

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	A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows
	Hu, Lijun 1; Yuan, Li 2,3
	2021-09-15
发表期刊	COMPUTERS & FLUIDS
ISSN	0045-7930
卷号	227 页码:16
摘要	The FORCE-type centred schemes are simple and efficient and do not explicitly require the wave propagation information of the system to calculate the numerical flux. However, their poor resolution for contact discontinuities seriously affects their applications. In the present work, a simple FORCE-type centred scheme accurate for contact discontinuities is proposed and applied to calculations of compressible Euler flows. The missing contact wave of the original FORCE centred scheme is restored with an algebraic method and the resolution for contact discontinuities is further improved by using the boundary variation diminishing (BVD) algorithm to minimize the density jump in the numerical diffusion term of the original FORCE centred scheme. Numerical results of several one-and two-dimensional benchmark test problems fully demonstrate that the proposed centred scheme is capable of capturing contact discontinuities more sharply than the complete-wave HLLC upwind scheme. In addition, another advantage of the proposed centred scheme is that it is free from the carbuncle phenomenon which afflicts many contact-capturing upwind schemes (e.g. Roe and HLLC) in calculations of multidimensional flow problems involving strong shock waves. (c) 2021 Elsevier Ltd. All rights reserved.
关键词	Euler equations Centred schemes FORCE scheme Contact discontinuity Carbuncle phenomenon Boundary variation diminishing
DOI	10.1016/j.compfluid.2021.105021
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[91641107] ; National Natural Science Foundation of China[91852116] ; Science and Technology Plan Project of Hunan Province[2016TP1020] ; Application-oriented Characterized Disciplines, Double First-Class University Project of Hunan Province[Xiangjiaotong [2018]469]
WOS研究方向	Computer Science ; Mechanics
WOS类目	Computer Science, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000680347400001
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58972
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, Lijun
作者单位	1.Hengyang Normal Univ, Sch Math & Stat, Hengyang 421002, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC & LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Hu, Lijun,Yuan, Li. A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows[J]. COMPUTERS & FLUIDS,2021,227:16.
APA	Hu, Lijun,&Yuan, Li.(2021).A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows.COMPUTERS & FLUIDS,227,16.
MLA	Hu, Lijun,et al."A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows".COMPUTERS & FLUIDS 227(2021):16.