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| One improved high accuracy scheme for compressible inviscid flow computation |
| Received:November 13, 2018 Revised:December 13, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20181113003 |
| KeyWord:weighted essentially non-oscillatory WENO scheme smoothness indicators high order accuracy compressible flows |
| Author | Institution |
| 徐丽 |
上海电力大学 数理学院, 上海 |
| 姜明洋 |
上海电力大学 数理学院, 上海 |
| 蔡静静 |
上海电力大学 数理学院, 上海 |
| 吴硕 |
上海电力大学 数理学院, 上海 |
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| Abstract: |
| For more accurately capturing complex flows,a new fifth-order WENO scheme is developed by improving the smoothing factor of WENO scheme. Weighting the third-order ENO scheme can lead to a fifth-order WENO scheme,but with different weighting methods,the WENO scheme will have different effects of maintaining weighted essentially non-oscillatory schemes at extreme values. In this paper,the local smoothing factor of second-order accuracy and the high-order global smoothing factor without first-order or second-order derivative are constructed,so that the WENO scheme has fifth-order accuracy at the extreme values.Based on the improved fifth-order WENO scheme,the classical problems of one-dimensional convection equations,one-dimensional and two-dimensional Euler equations are verified by examples,and compared with the traditional WENO-JS scheme and WENO-Z scheme.The calculation results show that the improved fifth-order WENO scheme has higher accuracy and convergence speed,and can effectively capture complex flows such as discontinuities,shock waves and eddies with low dissipation. |
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