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LES Modelings based on the Lagrangian Renormalized Approximation

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Statistical Theories and Computational Approaches to Turbulence

Abstract

A systematic way for formulating large-eddy simulation (LES) models based on the Lagrangian renormalized approximation is presented. A spectral LES to simulate the energy spectrum and a probabilistic LES to simulate both the energy spectrum and the error spectrum are formulated for 3-dimensional turbulence and 2-dimensional turbulence with the inverse energy cascading range. The derived models are free from any ad hoc parameters. The models are verified using high resolution nu-merical simulations with 5123 grid points for 3-dimension and 10243 for 2-dimension.

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Authors and Affiliations

  1. Graduate School of Engineering, Department of Computational Science and Engineering, Graduate School of Engineering, Nagoya University, Chikusa-ku, Nagoya, 464-8603, Japan

    Kyo Yoshida, Takashi Ishihara, Daishi Fujita, Tomomichi Yamahira & Yukio Kaneda

Authors
  1. Kyo Yoshida
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  2. Takashi Ishihara
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  3. Daishi Fujita
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  4. Tomomichi Yamahira
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  5. Yukio Kaneda
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Editors and Affiliations

  1. Department of Computational Science and Engineering, Graduate School of Engineering, Nagoya University, Furo-cho, 464-8603, Chikusa-ku, Nagoya, Japan

    Yukio Kaneda (Professor) (Professor)

  2. Department of System Engineering, Nagoya Institute of Technology, Gokiso, 466-8555, Showa-ku, Nagoya, Japan

    Toshiyuki Gotoh (Professor) (Professor)

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© 2003 Springer Japan

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Yoshida, K., Ishihara, T., Fujita, D., Yamahira, T., Kaneda, Y. (2003). LES Modelings based on the Lagrangian Renormalized Approximation. In: Kaneda, Y., Gotoh, T. (eds) Statistical Theories and Computational Approaches to Turbulence. Springer, Tokyo. https://doi.org/10.1007/978-4-431-67002-5_13

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  • DOI: https://doi.org/10.1007/978-4-431-67002-5_13

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-67004-9

  • Online ISBN: 978-4-431-67002-5

  • eBook Packages: Springer Book Archive

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