Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows

doi:10.1016/j.compfluid.2020.104719

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	Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows
	Hu, Lijun 1; Yuan, Li 2,3,4; Zhao, Kunlei 2,3,4
	2020-12-15
发表期刊	COMPUTERS & FLUIDS
ISSN	0045-7930
卷号	213 页码:15
摘要	When using the conventional direction splitting method to calculate multidimensional high speed gas-dynamical flows, Riemann solvers capable of resolving contact surface and shear wave accurately will suffer from different forms of shock instability, such as the notorious carbuncle phenomenon. The stability analysis shows that the lack of dissipation in the direction transverse to the shock front leads to the shock instability of low-dissipation HLLEM solver. To overcome this defect, an accurate and carbuncle-free genuinely two-dimensional HLL-type Riemann solver is proposed. Using Zha-Bilgen splitting method, the flux vector of two-dimensional Euler equations is split into the convective flux and pressure flux. An algorithm similar to AUSM+ scheme is adopted to calculate the convective flux and the pressure flux is calculated by the low-dissipation HLLEM scheme. Following Balsara's idea, the genuinely two-dimensional properties of the new solver are achieved by solving the two-dimensional Riemann problem that considers transversal features of the flow at each vertex of the cell interface. Numerical results of benchmark tests demonstrate that the new solver has higher resolution and better robustness than the conventional HLLEM solver implemented in dimension by dimension. (C) 2020 Elsevier Ltd. All rights reserved.
关键词	Euler equations HLL-type Riemann solver Genuinely two-dimensional Zha-Bilgen splitting Carbuncle phenomenon Shock instability
DOI	10.1016/j.compfluid.2020.104719
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]
WOS研究方向	Computer Science ; Mechanics
WOS类目	Computer Science, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000595147400004
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/57820
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, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 4.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,Zhao, Kunlei. Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows[J]. COMPUTERS & FLUIDS,2020,213:15.
APA	Hu, Lijun,Yuan, Li,&Zhao, Kunlei.(2020).Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows.COMPUTERS & FLUIDS,213,15.
MLA	Hu, Lijun,et al."Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows".COMPUTERS & FLUIDS 213(2020):15.