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Comparison of the AUSM+-up and other advection schemes for turbomachinery applications

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Abstract

In this paper, the AUSM+-up scheme is compared to other numerical flux schemes in the framework of a RANS/URANS code for turbomachinery applications. The considered advection schemes include central discretizations with artificial dissipation and the Roe upwind scheme. The comparison is carried out by studying a low-aspect-ratio turbine cascade over a wide range of expansion ratios that encompasses almost incompressible up to supersonic flow conditions. It is found that the dissipation scaling associated with the AUSM+-up scheme was effective over the whole range of analysed flow conditions. A detailed assessment with the aid of the available measurements will be exploited to show how the AUSM+-up is capable of a detailed and faithful reproduction of secondary flow features, with accuracy comparable to that of the Roe scheme and superior to that of central schemes.

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Acknowledgements

The third author is particularly indebted to Meng-Sing Liou for the long-term collaboration, the support, and the guidance Meng-Sing Liou gave him in the early stages of his academic career, when he was a visiting researcher at NASA Glenn Research Center.

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Authors and Affiliations

  1. Department of Industrial Engineering, Universitá degli Studi di Firenze, via Santa Marta, 3, 50139, Florence, Italy

    R. Pacciani, M. Marconcini & A. Arnone

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  1. R. Pacciani
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  2. M. Marconcini
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  3. A. Arnone
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Correspondence to R. Pacciani.

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Communicated by C.-H. Chang.

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Pacciani, R., Marconcini, M. & Arnone, A. Comparison of the AUSM+-up and other advection schemes for turbomachinery applications. Shock Waves 29, 705–716 (2019). https://doi.org/10.1007/s00193-018-0883-4

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