Berlin 2015 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Focus Session: Percolation and turbulent transition

DY 26.8: Talk

Wednesday, March 18, 2015, 12:00–12:15, BH-N 243

Localized periodic orbits in plane channel flow — •Stefan Zammert and Bruno Eckhardt — Philipps-Universität Marburg

Exact solutions of the Navier-Stokes equation are assumed to form a skeleton for turbulent dynamics. Therefore, within the last two decades the study of exact solutions has attracted lots of attention. Nevertheless, until now there is a lack of localized solutions for plane shear flows that could help to understand the formation of turbulent spots. Using direct numerical simulation we were able to identify streamwise and doubly-localized relative periodic orbits that are exact solutions of the Navier-Stokes equations (Zammert& Eckhardt: J. Fluid Mech. 761, 348-359 (2014)) for plane channel flow. We will discuss the dependence of these structures on the Reynolds number and we will show that they are created in bifurcations of spatially extended travelling wave solutions.