Regensburg 2013 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Focus Session: Rayleigh Benard System and Convective Turbulence
DY 29.2: Hauptvortrag
Donnerstag, 14. März 2013, 15:30–16:00, H44
Connecting Statistics and Dynamics of Turbulent Rayleigh–Bénard Convection — •Johannes Lülff1, Michael Wilczek1,2, Rudolf Friedrich1, Richard Stevens3,2, Detlef Lohse3, Klaus Petschel4, and Ulrich Hansen4 — 1Institute for Theoretical Physics, WWU Münster, Germany — 2Turbulence Research Group, Johns Hopkins University, Baltimore, USA — 3Physics of Fluids Group, University of Twente, Enschede, Netherlands — 4Institute for Geophysics, WWU Münster, Germany
Turbulent Rayleigh–Bénard convection as an ubiquitous phenomenon remains in the central interest of scientists and engineers alike. Though major advances from experimental, numerical and theoretical side have been achieved in recent years, there is no full theory of turbulent convection; especially a comprehensive connection between coherent flow patterns, small-scale fluctuations and the statistics has not been established so far.
To tackle this problem, we apply statistical methods to turbulent Rayleigh–Bénard convection, which lead to insights into the dynamics of the system. We investigate from first principles the temperature statistics in the context of PDF equations, which gives rise to the average transport behavior and flow structures in phase space, and also examine the statistics of flow reversals with methods borrowed from the theory of stochastic processes. The methods are applied to data which is provided by different direct numerical simulations that are briefly summarized.