Spatio-temporal spectra in the logarithmic layer of wall turbulence: large-eddy simulations and simple models

Wilczek, M.; Stevens, R.J.A.M.; Meneveau, C.

doi:10.1017/jfm.2015.116

Publication 36 · Wall-bounded and rotating shear turbulence

Spatio-temporal spectra in the logarithmic layer of wall turbulence

M. Wilczek, R.J.A.M. Stevens, C. Meneveau, J. Fluid Mech., 769, R1 (2015).

Main finding

Strong leading-order kinematic description, but not a complete dynamical or independently validated spectrum model.

Simulated and modelled spatio-temporal spectra in two representations — **How to read the figure.** Spatio-temporal spectra in the logarithmic layer of wall turbulence, from large-eddy simulation and from the model, in two representations. The model captures the shape of the frequency broadening that sweeping produces. It is a leading-order kinematic description, not a complete dynamical model or an independently validated spectrum. Open the full-resolution figure. Figure 3. M. Wilczek et al. (2015). No separate licence is stated here; consult the original publication and credited source before reuse.

Why this matters

Random sweeping broadens the frequency spectrum around mean-advection frequencies, providing a leading-order kinematic model rather than complete dynamics.

Research context

The model combines rough-wall LES statistics with random sweeping to represent the full wavenumber–frequency distribution at one logarithmic-layer height. The follow-up study tests height dependence and a factor-of-two grid change.

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