|
| A low-dissipation modified HLLEM scheme with numerical stability for shock waves and its application |
| Received:April 08, 2023 Revised:May 12, 2023 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20230408001 |
| KeyWord:3D Euler equations HLLEM scheme shock instability acoustic dissipation high resolution |
| Author | Institution |
| 胡立军 |
衡阳师范学院 数学与统计学院, 衡阳 |
| 李斌 |
衡阳师范学院 数学与统计学院, 衡阳 |
| 黄泓兴 |
衡阳师范学院 数学与统计学院, 衡阳 |
|
| Hits: 38 |
| Download times: 29 |
| Abstract: |
| In the field of aerospace engineering,the numerical simulation of compressible flows with strong shock waves has important scientific and engineering significance.Many popular flux schemes,such as the Roe scheme commonly used in industrial CFD software,will encounter different forms of instability while calculating strong shock waves.These nonphysical phenomena severely affect the reliability of simulation results.The method of balancing advective dissipation and acoustic dissipation is used to enhance the shock stability of the scheme,and it can be applied to the HLLEM scheme by simply modifying the calculation of wave speeds.Unlike traditional methods that increase numerical dissipation to eliminate the shock instability,the strategy adopted here is not only simple but also locally reduces the numerical dissipation for nonlinear waves.In addition,the THINC reconstruction and BVD algorithm are used to further reduce the density difference between two sides of the interface in the numerical dissipation term,so as to improve the resolution for linear waves.The stability analysis shows that the strategy of balancing the advective dissipation and the acoustic dissipation can effectively eliminate the numerical shock instability.A series of classical numerical experiments demonstrate the high resolution and strong stability of the shock-capturing scheme constructed here. |
|
|
|