Exact invariant solutions for coherent turbulent motions in Couette and Poiseuille flows (INVITED)

Abstract eng:
The dynamical systems approach recently applied to understand subcritical transitions in wall-bounded shear flows is combined with the use of large-eddy simulations to investigate the nature of large-scale coherent motions in turbulent Couette and Poiseuille flows. Exact invariant solutions of the filtered Navier-Stokes (LES) equations are computed by using the Smagorinsky model to parametrize smallscale motions. These solutions can be continued into exact solutions of the Navier-Stokes equations therefore providing a bridge between coherent large-scale motions in wall-bounded fully developed turbulent flows and invariant solutions appearing in transitional flows.

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