KMS Of Academy of mathematics and systems sciences, CAS
| Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows | |
| Hu, Lijun1; Yuan, Li2,3,4; Zhao, Kunlei2,3,4 | |
| 2020-12-15 | |
| Source Publication | COMPUTERS & FLUIDS
 |
| ISSN | 0045-7930 |
| Volume | 213Pages:15 |
| Abstract | 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. |
| Keyword | Euler equations HLL-type Riemann solver Genuinely two-dimensional Zha-Bilgen splitting Carbuncle phenomenon Shock instability |
| DOI | 10.1016/j.compfluid.2020.104719 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[91641107] ; National Natural Science Foundation of China[91852116] |
| WOS Research Area | Computer Science ; Mechanics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Mechanics |
| WOS ID | WOS:000595147400004 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/57820 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Hu, Lijun |
| Affiliation | 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 |
| Recommended Citation 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. |
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