A Robust and Low-Dissipation Flux Splitting Scheme

HU Lijun; YUAN Li; ZHAI Jian

doi:10.21656/1000-0887.390132

Volume 40 Issue 2

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HU Lijun, YUAN Li, ZHAI Jian. A Robust and Low-Dissipation Flux Splitting Scheme[J]. Applied Mathematics and Mechanics, 2019, 40(2): 150-166. doi: 10.21656/1000-0887.390132

Citation:

HU Lijun, YUAN Li, ZHAI Jian. A Robust and Low-Dissipation Flux Splitting Scheme[J]. Applied Mathematics and Mechanics, 2019, 40(2): 150-166. doi: 10.21656/1000-0887.390132

Citation:

HU Lijun, YUAN Li, ZHAI Jian. A Robust and Low-Dissipation Flux Splitting Scheme[J]. Applied Mathematics and Mechanics, 2019, 40(2): 150-166. doi: 10.21656/1000-0887.390132

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A Robust and Low-Dissipation Flux Splitting Scheme

doi: 10.21656/1000-0887.390132

¹College of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, P.R.China;²Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P.R.China;³Dawning Information Industry Co., Ltd., Beijing 100193, P.R.China

Received Date: 2018-04-25
Rev Recd Date: 2018-06-13
Publish Date: 2019-02-01

Abstract

Abstract

With the rapid development of computational fluid dynamics, it is particularly important to design accurate, efficient and robust numerical schemes. Through the characteristics analyses of 3 popular flux splitting methods (AUSM, Zha-Bilgen and Toro-Vázquez), a simple, low-dissipation and robust flux splitting scheme (named as R-ZB) was constructed. The flux of Euler equations was split into a convection flux and a pressure flux with the Zha-Bilgen splitting procedure. The convection flux was computed with a simple upwinding scheme, and the pressure flux was evaluated with a low-dissipation HLL scheme to overcome the flaw of failing to capture contact discontinuities. Numerical experiments show that, the proposed R-ZB scheme not only retains the merits of the original Zha-Bilgen scheme, such as simpleness, efficiency and capturing contact discontinuities accurately, etc., but also has better robustness, which eliminates the numerical shock instabilities in the calculation of 2D problems.
- Euler equations,
- Zha-Bilgen splitting,
- HLL,
- R-ZB,
- low dissipation,
- numerical shock instability

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References(34)

References

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