A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows
文献类型：期刊论文
| 作者 | Hu, Lijun3; Yuan, Li1,2 |
| 刊名 | COMPUTERS & FLUIDS
 |
| 出版日期 | 2021-09-15 |
| 卷号 | 227页码:16 |
| 关键词 | Euler equations Centred schemes FORCE scheme Contact discontinuity Carbuncle phenomenon Boundary variation diminishing |
| ISSN号 | 0045-7930 |
| DOI | 10.1016/j.compfluid.2021.105021 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000680347400001 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58971]  |
| 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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC & LSEC, Beijing 100190, Peoples R China 3.Hengyang Normal Univ, Sch Math & Stat, Hengyang 421002, Hunan, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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