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| A new shock stable convection-pressure flux splitting scheme |
| Received:October 25, 2019 Revised:December 07, 2019 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20191025002 |
| KeyWord:euler equations Zha-Bilgen splitting TV scheme shear viscosity convection-pressure flux splitting scheme robustness |
| Author | Institution |
| 胡立军 |
衡阳师范学院 数学与统计学院, 衡阳 |
| 吴世枫 |
广东技术师范大学 数学与系统科学学院, 广州 |
| 赵昆磊 |
中国科学院 数学与系统科学研究院科学和工程计算国家重点实验室, 北京 |
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| Abstract: |
| As for the Euler equations,the characteristics analyses of three popular convection-pressure flux splitting methods (Liou-Steffen,Zha-Bilgen and Toro-Vázquez) are conducted.Then a new convection-pressure flux splitting scheme is proposed,and the numerical fluxes of these two parts are computed by the TV scheme.A shock-detection function is defined by the ratio of pressure,and the shear viscosity is added to the TV scheme in the subsonic region near the strong shock to overcome the shock instability in the numerical simulations.The computational results of numerical examples show that the new convection-pressure flux splitting scheme not only retains the advantage of capturing contact discontinuity accurately but also is more robust than the original TV scheme,eliminating the instability in numerical simulation of multi-dimensional strong shock wave problem.Therefore,it is an accurate and robust numerical method,which can be widely used in the numerical computation of compressible flow. |
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