Wall turbulence without modal instability of the streaks
Fluid Dynamics
2019-09-13 v1 Computational Physics
Abstract
Despite the nonlinear nature of wall turbulence, there is evidence that the mechanism underlying the energy transfer from the mean flow to the turbulent fluctuations can be ascribed to linear processes. One of the most acclaimed linear instabilities for this energy transfer is the modal growth of perturbations with respect to the streamwise-averaged flow (or streaks). Here, we devise a numerical experiment in which the Navier--Stokes equations are sensibly modified to suppress these modal instabilities. Our results demonstrate that wall turbulence is sustained with realistic mean and fluctuating velocities despite the absence of streak instabilities.
Keywords
Cite
@article{arxiv.1909.05490,
title = {Wall turbulence without modal instability of the streaks},
author = {Adrián Lozano-Durán and Marios-Andreas Nikolaidis and Navid C. Constantinou and Michael Karp},
journal= {arXiv preprint arXiv:1909.05490},
year = {2019}
}