A mechanism for streamwise localisation of nonlinear waves in shear flows

نویسندگان

  • Fernando Mellibovsky
  • Alvaro Meseguer
چکیده

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.

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تاریخ انتشار 2015