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A shock-stable numerical scheme accurate for contact discontinuities: Applications to 3D compressible flows

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成果类型:
期刊论文
作者:
Hu, Lijun;Wang, Xiaohui
通讯作者:
Hu, LJ
作者机构:
[Hu, LJ; Hu, Lijun] Hengyang Normal Univ, Sch Math & Stat, Hengyang 421002, Hunan, Peoples R China.
[Wang, Xiaohui] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA.
通讯机构:
[Hu, LJ ] H
Hengyang Normal Univ, Sch Math & Stat, Hengyang 421002, Hunan, Peoples R China.
语种:
英文
关键词:
3D compressible flows;Roe scheme;Shock instability;Contact discontinuities;High accuracy
期刊:
Communications in Nonlinear Science and Numerical Simulation
ISSN:
1007-5704
年:
2024
卷:
128
页码:
107602
基金类别:
Excellent Youth Project of Hunan Education Department, China [21B0626]; Hunan Provincial Natural Science Foundation of China [2021JJ40009]; Science and Technology Plan Project of Hunan Province, China [2016TP1020]; Open fund project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University, China; Application-oriented Characterized Disciplines, Double First-Class University Project of Hunan Province, China (Xiangjiaotong) [[2018]469]
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:
The low-dissipation Roe scheme is a popular shock capturing scheme but the shock instability, such as the infamous carbuncle phenomenon, seriously affects its application in high Mach number flows. Although considerable research has been undertaken in two dimensions, mechanism analysis of the three-dimensional shock instability is relatively scarce. Numerical simulations of the Sedov blast wave indicate that the shock instability is more prominent in three dimensions, so it has theoretical and practical significance to analyze and heal the numerical instability. The mechanism for three-dimensi...

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