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2D and 3D Turbulent Fluctuations in Open Channel Flow with Re τ  = 590 Studied by Large Eddy Simulation

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Abstract

Well-resolved 3D Large Eddy Simulations (LES) are presented for open channel flow at a Reynolds number Re τ  = 590 based on friction velocity u τ and water depth h. The results are depth-averaged and thereby information is obtained on the 2D horizontal fluctuations in the channel. The total turbulence is decomposed into 2D and 3D fluctuations and the energy content of these as well as their spectral distribution is studied. It is found that only 15% of the fluctuating energy is contained in the 2D fluctuations and that these are mostly of scales larger than the water depth while the 3D fluctuations are restricted by the limited vertical extent of the water body and have scales smaller than the water depth. Information is obtained on the dispersion terms arising from the depth-averaging procedure, and scalar transport due to a vertical line source of tracer is studied thereby investigating the contribution of the 2D and 3D fluctuations to the transverse mixing of the scalar.

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Authors and Affiliations

  1. Institute for Hydromechanics, University of Karlsruhe, Kaiserstraße 12, 76128, Karlsruhe, Germany

    C. Hinterberger & W. Rodi

  2. Institute of Fluid Mechanics, Technical University of Dresden, George-Bähr Straße 3c, 01062, Dresden, Germany

    J. Fröhlich

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  1. C. Hinterberger
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  2. J. Fröhlich
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  3. W. Rodi
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Correspondence to W. Rodi.

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Hinterberger, C., Fröhlich, J. & Rodi, W. 2D and 3D Turbulent Fluctuations in Open Channel Flow with Re τ  = 590 Studied by Large Eddy Simulation. Flow Turbulence Combust 80, 225–253 (2008). https://doi.org/10.1007/s10494-007-9122-2

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