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Reynolds number invariance in the coherent structures of wall-bounded turbulence.

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Title: Reynolds number invariance in the coherent structures of wall-bounded turbulence.
Authors: Ying, Anjia1, Li, Zhigang1, Fu, Lin1,2 linfu@ust.hk
Source: Journal of Fluid Mechanics. 6/10/2026, Vol. 1036, p1-36. 36p.
Subjects: Reynolds number, Coherent structures, Spectral energy distribution, Turbulence, Turbulent boundary layer
Abstract: Estimation of instantaneous and statistical properties of wall-bounded turbulence across different Reynolds numbers has significant applications in scientific research and engineering, where the key challenge is to identify the Reynolds number invariance underlying the varying flow properties as Reynolds number changes. In this study, we develop a refined inner-outer interaction model (IOIM) that isolates the footprints of large-scale structures populating within a prescribed wall-normal range yR+ ∈ [yR1+, yR2+). When the reference layers are located within 80 ≤ yR1+ < yR2+ ≤ 0.3Reτ, the energy spectral densities of the isolated large-scale structures, including the wall-attached and wall-detached eddies, are found to be independent of Reynolds numbers with direct numerical simulations spanning Reτ ~ O (10²)-O (10³). The spectral energy densities of the near-wall small-scale motions also show little Reynolds number dependence. The increase in near-wall turbulent kinetic energy with Reynolds number is explained from the identified Reynolds number invariance of coherent structures. Meanwhile, certain amplitude and scale modulation effects caused by large-scale structures are found to make the distribution patterns of fluctuation amplitudes and scales of near-wall structures more susceptible to Reynolds number influence. The findings of this study provide insights for the developments of predictive models for wall-bounded turbulence across different Reynolds numbers. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 194752240
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  Data: Estimation of instantaneous and statistical properties of wall-bounded turbulence across different Reynolds numbers has significant applications in scientific research and engineering, where the key challenge is to identify the Reynolds number invariance underlying the varying flow properties as Reynolds number changes. In this study, we develop a refined inner-outer interaction model (IOIM) that isolates the footprints of large-scale structures populating within a prescribed wall-normal range yR+ ∈ [yR1+, yR2+). When the reference layers are located within 80 ≤ yR1+ &lt; yR2+ ≤ 0.3Reτ, the energy spectral densities of the isolated large-scale structures, including the wall-attached and wall-detached eddies, are found to be independent of Reynolds numbers with direct numerical simulations spanning Reτ ~ O (10&#178;)-O (10&#179;). The spectral energy densities of the near-wall small-scale motions also show little Reynolds number dependence. The increase in near-wall turbulent kinetic energy with Reynolds number is explained from the identified Reynolds number invariance of coherent structures. Meanwhile, certain amplitude and scale modulation effects caused by large-scale structures are found to make the distribution patterns of fluctuation amplitudes and scales of near-wall structures more susceptible to Reynolds number influence. The findings of this study provide insights for the developments of predictive models for wall-bounded turbulence across different Reynolds numbers. [ABSTRACT FROM AUTHOR]
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  Data: &lt;i&gt;Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder&#39;s express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.&lt;/i&gt; (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1017/jfm.2026.11595
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 36
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    Subjects:
      – SubjectFull: Reynolds number
        Type: general
      – SubjectFull: Coherent structures
        Type: general
      – SubjectFull: Spectral energy distribution
        Type: general
      – SubjectFull: Turbulence
        Type: general
      – SubjectFull: Turbulent boundary layer
        Type: general
    Titles:
      – TitleFull: Reynolds number invariance in the coherent structures of wall-bounded turbulence.
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            NameFull: Ying, Anjia
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            NameFull: Li, Zhigang
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            NameFull: Fu, Lin
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          Dates:
            – D: 10
              M: 06
              Text: 6/10/2026
              Type: published
              Y: 2026
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              Value: 1036
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