Reynolds number effects on the Reynolds-stress budgets in turbulent channels

By Sergio Hoyas, Javier Jiménez. 2008

416 citations recorded by the source corpus.

Budgets for the nonzero components of the Reynolds-stress tensor are presented for numerical channels with Reynolds numbers in the range Reτ=180–2000. The scaling of the different terms is discussed, both above and within the buffer and viscous layers. Above x2+≈150, most budget components scale reasonably well with uτ3/h, but the scaling with uτ4/ν is generally poor below that level. That is especially true for the dissipations and for the pressure-related terms. The former is traced to the effect of the wall-parallel large-scale motions, and the latter to the scaling of the pressure itself. It is also found that the pressure terms scale better near the wall when they are not separated into their diffusion and deviatoric components, but mostly only because the two terms tend to cancel each other in the viscous sublayer. The budgets, together with their statistical uncertainties, are available electronically from http://torroja.dmt.upm.es/channels.

Subfields: Computational Mechanics, Environmental Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/276e0a1cea9b157709bed710c27ae8fa0a3418f2

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Citations in the corpus

Cascades in Wall-Bounded Turbulence (2012, background): “…very near and very far from the wall, most of the turbulent kinetic energy is dissipated at the same wall distance at which it is produced (Hoyas & Jiménez 2008), essentially as in the Kolmogorov cascade, but Figure 1a shows that the eddies containing most of the energy at one wall…”
Velocity statistics in turbulent channel flow up to $Re_{\tau }=4000$ (2014, background): “A little production excess was observed to emerge in channel flows only at Reτ & 1000 (Hoyas & Jiménez 2008).”
Turbulent boundary layers and channels at moderate Reynolds numbers (2010, background): “A comparison between the experimental frequency spectra in boundary layers and the numerical wavenumber spectra in channels can be found in del Álamo & Jiménez (2009) and in Hoyas & Jiménez (2008).”
Spectral analysis of the budget equation in turbulent channel flows at high Reynolds number (2018, methodology): “P+11 = 5.21/y+, as noted by Hoyas & Jiménez (2008).”
Turbulent fluctuations above the buffer layer of wall-bounded flows (2008, methodology): “The occasion was used to extend the run of L550, for which relatively few fields had been stored, by several extra eddy turnovers, as well as to compute the budgets of the Reynolds-stress tensor for the three cases (Hoyas & Jiménez 2008).”
Coherent structures in wall-bounded turbulence (2017, background): “Its effect on the velocities is approximately isotropic, and each of the two transverse components receives roughly equal amounts of energy (Hoyas & Jiménez 2008).”
Quantification of model uncertainty in RANS simulations: A review (2018, background): “Sampling errors are caused by the fact that the samples may be correlated, and that the number of samples may not be sufficient to achieve statistical convergence, see Hoyas and Jiménez [182] for a discussion.”