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

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成果类型:
期刊论文
作者:
Hu, Lijun;Yuan, Li
通讯作者:
Hu, Lijun(hulijun@lsec.cc.ac.cn)
作者机构:
[Hu, Lijun] Hengyang Normal Univ, Sch Math & Stat, Hengyang 421002, Hunan, Peoples R China.
[Yuan, Li] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC & LSEC, Beijing 100190, Peoples R China.
[Yuan, Li] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China.
通讯机构:
[Lijun Hu] S
School of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, China
语种:
英文
关键词:
Boundary variation diminishing;Carbuncle phenomenon;Centred schemes;Contact discontinuity;Euler equations;FORCE scheme
期刊:
Computers & Fluids
ISSN:
0045-7930
年:
2021
卷:
227
页码:
105021
基金类别:
The constructive comments of the anonymous reviewers are gratefully acknowledged. This work was supported by the National Natural Science Foundation of China (91641107, 91852116), the Science and Technology Plan Project of Hunan Province (Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, 2016TP1020), the Application-oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469).
机构署名:
本校为第一机构
院系归属:
数学与统计学院
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 con...

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