Abstract
We present results of direct numerical simulations on anisotropy in the velocity and the convective temperature fields of turbulent Rayleigh–Bénard convection in low-Prandtl-number fluids with and without uniform rotation about the vertical direction. Our results are in the intermediate range of Rayleigh number (Ra∼106−108) and high Rossby number (Ro>1). The probability distribution for the fluctuating velocity field v shows exponential tails. The distribution function for the vertical velocity is significantly different from those for the horizontal velocity components, which we take as a mark of anisotropy. The probability distribution function for the fluctuating temperature field θ is also quite different from that of any component of the velocity field and is proportional to exp [−(θ/θ0)4], where θ0 is a constant. To study the anisotropy in Fourier space, we look at the Fourier modes of the velocity fields and compare our numerical results with a calculation based on an effective linear model.
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