Localized layers of turbulence in vertically-stratified plane Poiseuille flow

Abstract

This article presents a numerical analysis of the instability developing in horizontal plane Poiseuille flow, when stratification extends along the direction orthogonal to the plane of shear. Our study builds up on the previous work that originally detected the linear instability of such configuration, by means of experiments, theoretical analysis and numerical simulations \citep{G21}. We extend hereafter this former investigation beyond linear theory, investigating nonlinear regimes with direct numerical simulations. We notice a tendency for the flow to lose its vertical homogeneity through a point of secondary bifurcation, due to harmonic resonances, and further describe this symmetry-breaking mechanism in the vicinity of the instability threshold. When departing away from this limit, we observe a series of bursting events that break down the flow into disordered motions driven by localized shear instabilities. This intermittent dynamics leads to the coexistence of localized layers of stratified turbulence surrounded by quiescent regions of meandering waves