Berlin 2015 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 32: Focus Session: Statistics of fully developed turbulence
DY 32.9: Talk
Wednesday, March 18, 2015, 17:45–18:00, BH-N 243
Universal properties of the intermittency generating function in fully developed turbulence — •Christoph Berling1 and Oliver Kamps2 — 1Institut für Theoretische Physik, University of Münster, Germany — 2Center for Nonlinear Science, University of Münster, Germany
The understanding of the intermittent fluctuations of observables in fully developed turbulence is one of the central challenges in turbulence research. One example for intermittency is the non-self-similar evolution of the probability density functions (PDFs) of the Lagrangian velocity increments v(τ,t)=u(t+τ)−u(t) with respect to the time lag τ. Based on the combination of an exact but unclosed PDF equation and experimental results it is possible to describe the non-self-similar evolution of the Lagrangian increment PDFs by a single function that itself is self-similar [1]. In this contribution we will show that within this framework Lagrangian intermittency can also be described for turbulent flows with different Reynolds numbers as well as for magneto-hydrodynamic and two-dimensional turbulence.
[1] Wilczek et. al., New Journal of Physics 15 (2013) 055015