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High-Order Flux Reconstruction Schemes for LES on Tetrahedral Meshes

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Progress in Hybrid RANS-LES Modelling

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 130))

Abstract

The use of the high-order Flux Reconstruction (FR) spatial discretization scheme for LES on unstructured meshes is investigated. Simulations of the compressible Taylor-Green vortex at \(Re=1{,}600\) demonstrate that the FR scheme has low numerical dissipation and accurately reproduces the turbulent energy cascade at low resolution, making it ideal for high-order LES. To permit the use of subgrid-scale models incorporating explicit filtering on tetrahedral meshes, a high-order filter acting on the modal form of the solution (i.e. the Dubiner basis functions) is developed. The WALE-Similarity mixed (WSM) model using this filter is employed for LES of the flow over a square cylinder at \(Re=21{,}400\), obtaining reasonable agreement with experiments. Future research will be directed at improved SGS models and filters and at developing high-order hybrid RANS/LES methods.

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Acknowledgments

This research was made possible by the support of the NSF under grant number 1114816, monitored by Dr. Leland Jameson, and the Air Force Office of Scientific Research under grant number FA9550-10-1-0418, monitored by Dr. Fariba Fahroo.

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Authors and Affiliations

  1. Department of Aeronautics and Astronautics, Stanford University, Stanford, CA, 94305, USA

    Jonathan R. Bull & Antony Jameson

Authors
  1. Jonathan R. Bull
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  2. Antony Jameson
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Corresponding author

Correspondence to Jonathan R. Bull .

Editor information

Editors and Affiliations

  1. Aerospace Engineering Department, Texas A&M University, College State, Texas, USA

    Sharath Girimaji

  2. Werner Haase Aeronautics Consultants, Neubiberg, Bayern, Germany

    Werner Haase

  3. Div Information & Aeronautical Syst, Swedish Defence Research Agency FOI, Stockholm, Sweden

    Shia-Hui Peng

  4. Center of Computer Applications in Aerospace Science and Engineering, DLR, Institut für Aerodynamik und Strömungstechnik, Göttingen, Germany

    Dieter Schwamborn

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Bull, J.R., Jameson, A. (2015). High-Order Flux Reconstruction Schemes for LES on Tetrahedral Meshes. In: Girimaji, S., Haase, W., Peng, SH., Schwamborn, D. (eds) Progress in Hybrid RANS-LES Modelling. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 130. Springer, Cham. https://doi.org/10.1007/978-3-319-15141-0_5

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  • DOI: https://doi.org/10.1007/978-3-319-15141-0_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15140-3

  • Online ISBN: 978-3-319-15141-0

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