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    Dynamic state of low-Reynolds-number turbulent channel flow

    Hiroya Mamori*

    Yusuke Nabae, Shingo Fukuda, and Hiroshi Gotoda†

    • Department of Mechanical and Intelligent Systems Engineering, The University of Electro-Communications, 1-5-1, Chofugaoka, Chofu, Tokyo 182-8585, Japan

    • Department of Mechanical Engineering, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585, Japan

    • *Corresponding author: mamori@uec.ac.jp
    • †gotoda@rs.tus.ac.jp
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    Phys. Rev. E 108, 025105 – Published 29 August, 2023

    DOI: https://doi.org/10.1103/PhysRevE.108.025105

    Abstract

    We numerically study the dynamic state of a low-Reynolds-number turbulent channel flow from the viewpoints of symbolic dynamics and nonlinear forecasting. A low-dimensionally (high-dimensionally) chaotic state of the streamwise velocity fluctuations emerges at a viscous sublayer (logarithmic layer). The possible presence of the chaotic states is clearly identified by orbital instability-based nonlinear forecasting and ordinal partition transition network entropy in combination with the surrogate data method.

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    Phys. Rev. E 108, 025105– Published 29 August, 2023
    • Received 6 January 2023
    • Accepted 25 July 2023
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