Berlin 2012 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 16: Fluid dynamics and turbulence II

DY 16.3: Talk

Wednesday, March 28, 2012, 10:45–11:00, MA 144

Rotor model for the inverse cascade of two-dimensional turbulence — •Benjamin Motz and Rudolf Friedrich — Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, D-48149 Münster

We investigate dynamical aspects of the inverse cascade, a central phenomenon of two-dimensional turbulence. Kirchhoff’s point vortex model for fluid motion is extended by gluing together two equally-signed point vortices to one rotor. This allows to include the effects of shear, still permitting to analyze the flow in terms of a dynamical system. Our theoretical studies are supported by numerical results of the rotor model. The results are compared to direct numerical simulations of homogeneous isotropic turbulence.