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TECHNICAL PAPERS

Direct Numerical Simulation of a Fully Developed Turbulent Channel Flow With Respect to the Reynolds Number Dependence

[+] Author and Article Information
Hiroyuki Abe, Hiroshi Kawamura

Department of Mechanical Engineering, Science University of Tokyo, Noda-shi, Chiba, 278-8510, Japan

Yuichi Matsuo

National Aerospace Laboratory, Chofu-shi, Tokyo, 182-8522, Japan

J. Fluids Eng 123(2), 382-393 (Feb 16, 2001) (12 pages) doi:10.1115/1.1366680 History: Received June 19, 2000; Revised February 16, 2001
Copyright © 2001 by ASME
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References

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Figures

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Mean velocity distribution
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Rms of velocity fluctuations
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Rms of vorticity fluctuations
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Reynolds shear stress and total shear stress distributions
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Two-point correlation coefficients of velocity fluctuations for Reτ=640: (a), (b) streamwise, (c), (d) spanwise correlation coefficients
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Spanwise two-point correlation coefficient R11 at y+=11
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One-dimensional energy spectra of velocity fluctuations for Reτ=640 in comparison with Reτ=180: (a) streamwise, (b) spanwise
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Streamwise one-dimensional energy dissipation spectra normalized by Kolmogorov scale
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Premultiplied energy spectra for Reτ=640 (a) kzEuu/uu, (b) kxEuu/uu
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Budget of Reynolds normal stresses: (a) u′+u′+, (b) v′+v′+, (c) w′+w′+, –, Reτ=640; – – –, Reτ=395; - - -, Reτ=180
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Budget of turbulent kinetic energy: ——, Reτ=640; [[dashed_line]], Reτ=395; - - -, Reτ=180
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Dissipation rate of the normal Reynolds stresses for Reτ=640 symbol, ε(ii) by Eq. (23); –, u(i)′+u(i)′+(ε/k); [[dot_dash_line]], (2/3)ε; [[dashed_line]], 4c22y+2
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Relation between anisotropy tensors bij and dij
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High- and low-speed streaks and the second invariant of the deformation tensor for Reτ=180 (u′+<−3.0; light-gray, u′+>3.0; dark-gray, II′+<−0.03; white)
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High- and low-speed streaks and the second invariant of the deformation tensor for Reτ=640 (u′+<−3.0; light-gray, u′+>3.0; dark-gray, II′+<−0.03; white)
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Mean velocity distribution by fourth-order calculation
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Rms of velocity fluctuations by fourth-order calculation
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One-dimensional energy spectra of velocity fluctuations by fourth-order calculation: (a) streamwise, (b) spanwise

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