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| A robust hybrid Roe Riemann solver |
| Received:September 30, 2018 Revised:December 28, 2018 |
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| DOI：10.7511/jslx20180930003 |
| KeyWord:inviscid compressible flows Roe scheme HLLEC scheme Roe-HLLEC scheme numerical shock instabilities |
| Author | Institution |
| 胡立军 |
衡阳师范学院 数学与统计学院, 衡阳 |
| 袁礼 |
中国科学院 数学与系统科学研究院计算数学与科学工程计算研究所, 北京 |
| 翟健 |
曙光信息产业北京有限公司, 北京 |
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| Abstract: |
| 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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