A mechanism for streamwise localisation of nonlinear waves in shear flows
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We present the complete unfolding of streamwise localisation in a paradigm of extended shear flows, namely two-dimensional plane Poiseuille flow. Exact solutions of the Navier-Stokes equations are computed numerically and tracked in the streamwise wavenumber-Reynolds number parameter space to identify and describe the fundamental mechanism behind streamwise localisation, a ubiquitous feature of shear flow turbulence. Unlike shear flow spanwise localisation, streamwise localisation does not follow the snaking mechanism demonstrated for plane Couette flow.
CitationMellibovsky, F., Meseguer, A. A mechanism for streamwise localisation of nonlinear waves in shear flows. "Journal of fluid mechanics", 01 Setembre 2015, vol. 779, p. 779 R1-1-779 R1-14.