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| A two-dimensional flux splitting scheme for compressible flows |
| Received:April 29, 2019 Revised:August 29, 2019 |
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| DOI：10.7511/jslx20190429001 |
| KeyWord:euler equations compressible flow Toro-Vázquez splitting genuinely two-dimensional flux splitting scheme GT-TV scheme robustness |
| Author | Institution |
| 胡立军 |
衡阳师范学院 数学与统计学院, 衡阳 |
| 翟健 |
曙光信息产业北京有限公司, 北京 |
| 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 |
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| Abstract: |
| Traditional one-dimensional flux splitting schemes only consider the waves orthogonal to the cell interface when computing the numerical flux.The convective flux and pressure flux are determined by the traditional TV scheme.A genuinely two-dimensional TV flux splitting scheme is proposed by solving the numerical flux at the corner which considers the effect of transverse waves.The numerical flux of this scheme is the same as that of the traditional TV scheme when computing one-dimensional numerical examples.So,it preserves the merits of the traditional TV scheme,such as,capturing contact discontinuity and expansion shock waves accurately.It has a higher resolution than the traditional TV scheme when computing two-dimensional numerical examples and eliminates the unphysical shock anomaly in solving two-dimensional strong shock wave problems,displaying better robustness.In addition,this scheme increases the stable CFL number greatly,having higher computational efficiency.Therefore,it is an accurate,efficient and robust numerical method,which has a broad application prospect in the numerical simulation of compressible flow. |
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