Input-output analysis of the stochastic Navier-Stokes equations: Application to turbulent channel flow

Abstract

Stochastic modeling under location uncertainty considers conservation laws of quantities subject to a stochastic transport. This framework allows us to extend the linearized models of the type of resolvent analysis into a form which models the influence of turbulence onto coherent structures in a physically consistent manner, i.e. through a transport. We show the ability of this model to predict coherent structures in the logarithmic layer of a turbulent channel flow at the friction Reynolds number $R\phantom{\rule{0}{0ex}}{e}_{\ensuremath{\tau}}=1000$, where standard models are less accurate.