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DY: Fachverband Dynamik und Statistische Physik

DY 26: Focus Session: Percolation and turbulent transition

DY 26.7: Vortrag

Mittwoch, 18. März 2015, 11:45–12:00, BH-N 243

Emerging spatiotemporal dynamics in fluid flow — •Marc Avila¹, Paul Ritter¹, and Fernando Mellibovsky² — ¹FAU Erlangen-Nürnberg, 91058 Erlangen, Germany — ²UPC, 08860 Castelldefels, Spain

As of today, no theoretical framework fully describes the emergence of turbulent dynamics in shear flows. A dynamical-systems approach suggests that invariant solutions to the Navier-Stokes equations, like traveling waves and relative periodic orbits in pipe flow, act as building blocks of the disordered dynamics. While recent studies have shown how transient chaos arises from such solutions, the ensuing dynamics lacks the strong fluctuations in size, shape and speed of turbulent spots observed in experiments. In this talk I will show that the interaction of chaotic spots with distinct dynamical and kinematic properties gives rise to enhanced spatiotemporal fluctuations, providing a bridge from chaos toward turbulence. The link between the phase-space interpretation of the dynamics and percolation-like models will be discussed.