Temperature statistics in turbulent Rayleigh–Bénard convection

  title={Temperature statistics in turbulent Rayleigh–B{\'e}nard convection},
  author={Johannes Lulff and Michael Wilczek and Rainer Friedrich},
  journal={New Journal of Physics},
Rayleigh–Benard (RB) convection in the turbulent regime is studied using statistical methods. Exact evolution equations for the probability density function of temperature and velocity are derived from first principles within the framework of the Lundgren–Monin–Novikov hierarchy known from homogeneous isotropic turbulence. The unclosed terms arising in the form of conditional averages are estimated from direct numerical simulations. Focusing on the statistics of temperature, the theoretical… 

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Article history: Available online 1 November 2012


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