Direct numerical simulation of turbulent channel flow up to $\mathit{Re}_{{\it\tau}}\approx 5200$

By Myoungkyu Lee, Robert D. Moser. Journal of Fluid Mechanics, 2014

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A direct numerical simulation of incompressible channel flow at a friction Reynolds number ( $\mathit{Re}_{{\it\tau}}$ ) of 5186 has been performed, and the flow exhibits a number of the characteristics of high-Reynolds-number wall-bounded turbulent flows. For example, a region where the mean velocity has a logarithmic variation is observed, with von Kármán constant ${\it\kappa}=0.384\pm 0.004$ . There is also a logarithmic dependence of the variance of the spanwise velocity component, though not the streamwise component. A distinct separation of scales exists between the large outer-layer structures and small inner-layer structures. At intermediate distances from the wall, the one-dimensional spectrum of the streamwise velocity fluctuation in both the streamwise and spanwise directions exhibits $k^{-1}$ dependence over a short range in wavenumber $(k)$ . Further, consistent with previous experimental observations, when these spectra are multiplied by $k$ (premultiplied spectra), they have a bimodal structure with local peaks located at wavenumbers on either side of the $k^{-1}$ range.

Subfields: Computational Mechanics, Environmental Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/12d369686833232872bda215249a8dca1ffe0459

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Citations in the corpus

Reynolds-number dependence of turbulent skin-friction drag reduction induced by spanwise forcing (2015, methodology): “For instance, Kim, Moin & Moser (1987) reported k = 0.4 and B = 5.5 at Reτ = 180, whereas k = 0.386 and B = 4.40 at Reτ = 4079 or k= 0.384 and B= 4.27 at Reτ = 5200 have been reported, respectively, by Bernardini, Pirozzoli & Orlandi (2014) and Lee & Moser (2015).”
Passive scalars in turbulent channel flow at high Reynolds number (2015, background): “It should be noted that the presence of a generalized logarithmic layer does not prevent the onset of a narrow genuine logarithmic layer at higher Reynolds, which however should be confined to a narrower range of wall distances (Lee & Moser 2015).”
Reynolds-averaged Navier–Stokes equations with explicit data-driven Reynolds stress closure can be ill-conditioned (2018, neutral): “The DNS data were obtained from the University of Texas Austin online database (Lee & Moser 2015).”
Spectral analysis of the budget equation in turbulent channel flows at high Reynolds number (2018, methodology): “To facilitate the interpretation of the DNS data, it will also be useful to decompose the RTij , R Π ij and R ν ij terms, so that different effects can be isolated.”