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A parameter-free AUSM-based scheme for healing carbuncle phenomenon

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Abstract

This paper studies the two-dimensional shock-induced anomalies such as carbuncle phenomenon of the AUSM scheme on structured triangular grids. By examining several test cases, it is found that the numerical flux formulation cannot satisfy robustness against the carbuncle phenomenon. A more stable parameter-free AUSM-based scheme (AUSM-M+) is then proposed to resolve the carbuncle phenomenon. The dissipation mechanism of the AUSM and AUSM-M+ schemes are investigated by applying a linearized discrete analysis to the odd-even decoupling problem. The recursive equations show that the AUSM-M+ scheme is less sensitive to these anomalies than the original scheme. Finally, the proposed scheme is extended to second-order solution accuracy and then the evaluation of its robustness and efficiency applied to both steady and unsteady flows is presented. The results show that the AUSM-M+ scheme gives a physically meaningful solution for all test cases without introducing an additional shock fix technique.

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Acknowledgments

The author is grateful to the College of Industrial Technology, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand for funding this research work.

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Authors and Affiliations

  1. Department of Mechanical Engineering Technology, College of Industrial Technology, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand

    Sutthisak Phongthanapanich

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  1. Sutthisak Phongthanapanich
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Correspondence to Sutthisak Phongthanapanich.

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Technical Editor: Fernando Alves Rochinha.

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Phongthanapanich, S. A parameter-free AUSM-based scheme for healing carbuncle phenomenon. J Braz. Soc. Mech. Sci. Eng. 38, 691–701 (2016). https://doi.org/10.1007/s40430-015-0368-7

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  • DOI: https://doi.org/10.1007/s40430-015-0368-7

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