Scaling of the energy spectra of wall-bounded turbulence

TL;DR

This paper investigates how energy spectra in wall-bounded turbulence scale by analyzing direct simulation data at moderate Reynolds numbers and large domains, focusing on deviations from classical similarity assumptions.

Contribution

It provides new insights into the corrections needed for similarity assumptions in the overlap and outer regions of wall turbulence based on high-fidelity simulations.

Findings

Identification of deviations from classical similarity in energy spectra

Quantification of correction factors in the overlap region

Insights into turbulence structure at moderate Reynolds numbers

Abstract

By using new results from direct simulations of turbulent channels at moderate friction Reynolds numbers (Retau <= 1900) and in very large numerical boxes, we examine the corrections to the similarity assumptions in the overlap and outer regions of wall-bounded turbulence.