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

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成果类型:
期刊论文
作者:
Hu, Lijun*;Yuan, Li;Zhao, Kunlei
通讯作者:
Hu, Lijun
作者机构:
[Hu, Lijun] Hengyang Normal Univ, Sch Math & Stat, Hengyang 421002, Hunan, Peoples R China.
[Yuan, Li; Zhao, Kunlei] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100190, Peoples R China.
[Yuan, Li; Zhao, Kunlei] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China.
[Yuan, Li; Zhao, Kunlei] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China.
通讯机构:
[Hu, Lijun] H
Hengyang Normal Univ, Sch Math & Stat, Hengyang 421002, Hunan, Peoples R China.
语种:
英文
关键词:
Carbuncle phenomenon;Euler equations;Genuinely two-dimensional;HLL-type Riemann solver;Shock instability;Zha-Bilgen splitting
期刊:
Computers & Fluids
ISSN:
0045-7930
年:
2020
卷:
213
页码:
104719
基金类别:
This work was supported by the National Natural Science Foundation of China ( 91641107 , 91852116 ). The constructive comments of the anonymous reviewers are gratefully acknowledged.
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
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 ...

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