Cures for expansion shock and shock instability of Roe scheme based on momentum interpolation mechanism |
| |
Authors: | Xuesong Li Xiaodong Ren Chunwei Gu |
| |
Affiliation: | Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Thermal Engineering, Tsinghua University, Beijing 100084, China |
| |
Abstract: | The common defects of the Roe scheme are the non-physical expansion shock and shock instability. By removing the momentum interpolation mechanism (MIM), an improved method with several advantages has been presented to suppress the shock instability. However, it cannot prevent the expansion shock and is incompatible with the traditional curing method for expansion shock. To solve the problem, the traditional curing mechanism is analyzed. Effectiveness of the traditional curing method is discussed, and several defects are identified, one of which leads to incompatibility between curing shock instability and expansion shock. Consequently, an improved Roe scheme is proposed, which is with low computational costs, concise, easy to implement, and robust. More importantly, the proposed scheme can simultaneously solve the problem of shock instability and expansion shock without additional costs. |
| |
Keywords: | three-dimensional problem perturbation method variationalprinciple. laminated plate nonlinearity momentum interpolation mechanism (MIM) robust shock instability curing method Roe scheme expansion shock |
本文献已被 CNKI SpringerLink 等数据库收录! |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
|