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Reynolds Stress Models for Shock-Turbulence Interaction

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31st International Symposium on Shock Waves 1 (ISSW 2017)

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Abstract

A systematic deficiency of current turbulence models which are based on the Reynolds-averaged Navier-Stokes equations (RANS) is their inability to correctly predict the interaction of turbulence with shocks. This is because RANS models do not account for the unsteady motion or fragmentation of the shock wave within the interaction zone. Typically, significant over-prediction of the turbulent energy amplification occurs without dedicated adjustment of the applied turbulence model.

An empirical shock correction for Reynolds stress models (RSM) is proposed. This corrective model is based on rescaling of the production and redistribution terms in the Reynolds stress and length scale equations. The method is tested for two common RSM models and enables them to correctly predict the turbulence amplification, anisotropy, and dissipation downstream of the interaction with a normal shock wave.

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Acknowledgment

The authors would like to thank Johan Larsson (University of Maryland) for his advice and help to perform this work.

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Authors and Affiliations

  1. DLR – Institute of Aerodynamics and Flow Technology, Göttingen, Germany

    Sebastian Karl

  2. Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, QC, Canada

    Jean-Pierre Hickey

  3. Ecole Polytechnique de Montreal, Department of Mechanical Engineering, Montreal, QC, Canada

    Francis Lacombe

Authors
  1. Sebastian Karl
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  2. Jean-Pierre Hickey
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  3. Francis Lacombe
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Corresponding author

Correspondence to Sebastian Karl .

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Editors and Affiliations

  1. Department of Aerospace Engineering, Nagoya University, Nagoya, Japan

    Akihiro Sasoh

  2. Department of Energy and Environmental Engineering, Kyushu University, Kasuga, Fukuoka, Japan

    Toshiyuki Aoki

  3. Institute of Innovative Research, Tokyo Institute of Technology, Tokyo, Japan

    Masahide Katayama

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Karl, S., Hickey, JP., Lacombe, F. (2019). Reynolds Stress Models for Shock-Turbulence Interaction. In: Sasoh, A., Aoki, T., Katayama, M. (eds) 31st International Symposium on Shock Waves 1. ISSW 2017. Springer, Cham. https://doi.org/10.1007/978-3-319-91020-8_60

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  • DOI: https://doi.org/10.1007/978-3-319-91020-8_60

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-91019-2

  • Online ISBN: 978-3-319-91020-8

  • eBook Packages: EngineeringEngineering (R0)

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