| 胡立军,袁礼,翟健.一种健壮的混合Roe黎曼求解器[J].计算力学学报,2019,36(6):818~824 |
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| 一种健壮的混合Roe黎曼求解器 |
| A robust hybrid Roe Riemann solver |
| 投稿时间：2018-09-30 修订日期：2018-12-28 |
| DOI：10.7511/jslx20180930003 |
| 中文关键词: 无粘可压缩流 Roe格式 HLLEC格式 Roe-HLLEC格式 数值激波不稳定性 |
| 英文关键词:inviscid compressible flows Roe scheme HLLEC scheme Roe-HLLEC scheme numerical shock instabilities |
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| 中文摘要: |
| 使用Roe格式计算多维流动问题时，在强激波附近会出现数值激波不稳定现象。带有剪切粘性的HLLEC格式不仅可以捕捉接触间断，而且表现出很好的稳定性。混合Roe格式和HLLEC格式来消除数值激波不稳定性。在强激波附近，通过激波面法向和网格界面法向的夹角来定义开关函数，使得数值通量在激波面横向切换成HLLEC格式。在其余地方，数值通量依然使用Roe格式来计算。数值试验表明，混合格式不仅消除了Roe格式的数值激波不稳定性，还最大程度地减少了HLLEC格式所带来的剪切耗散，保留了Roe格式高分辨率的优点。 |
| 英文摘要: |
| Numerical shock instabilities will occur near strong shock waves when using Roe scheme to compute multidimensional flow problems.The HLLEC scheme with shear viscosity can not only resolve contact discontinuities,but also show good stability in numerical computation.We combine the Roe scheme and the HLLEC scheme to eliminate the numerical shock instabilities.In the vicinity of strong shock waves,the switching function is defined by the angle between the normal directions of the shock front and the cell interface,so that the numerical flux is switched to the HLLEC scheme in the transverse direction of the shock front.In other places,numerical flux is still evaluated by the Roe scheme. Numerical experiments show that the hybrid scheme proposed here can not only eliminate the shock instabilities of Roe scheme,but also reduce the shear dissipation brought by the HLLEC scheme to the greatest extent,preserving the advantage of high resolution of Roe scheme. |
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