An improved AUSM-family scheme with robustness and accuracy for all Mach number flows

Shu sheng Chen, Fang jie Cai, Hai chao Xue, Ning Wang, Chao Yan

科研成果: 期刊稿件文章同行评审

44 引用 (Scopus)

摘要

With the increasing popularity of Computational Fluid Dynamics (CFD), the reliability of numerical scheme becomes prominent. The work presents a newly improved scheme more reliable in all Mach number regimes to circumvent some typical symptoms of the previous AUSM-family schemes observed in hypersonic and very low speeds. This scheme is facilitated by reconstructing pressure diffusion term in mass flux, velocity diffusion term in pressure flux and numerical sound speed. Then, a variety of benchmark test cases are selected to systematically assess the effects of these key ingredients and investigate the additional features in terms of robustness and accuracy. The proposed scheme attains stronger shock robustness against carbuncle instability, better low-speed accuracy and higher resolution of oblique shocks compared with many existing upwind schemes. Moreover, it can exactly resolve contact discontinuity, preserve positivity, damp numerical overshoots and avert the global cut-off strategy. Numerical results for a wide spectrum of Mach numbers indicate its potential and reliable application to all Mach number flows.

源语言英语
页(从-至)1065-1081
页数17
期刊Applied Mathematical Modelling
77
DOI
出版状态已出版 - 1月 2020

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