Statistics of Energy Transfer in High-Resolution Direct Numerical Simulation of Turbulence in a Periodic Box(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)

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The statistics of energy transfer is studied by using the data of a series of high-resolution direct numerical simulations of incompressible homogeneous turbulence in a periodic box with the Taylor micro-scale Reynolds number R_λ and grid points up to approximately 1130 and 4096^3, respectively. The data show that the energy transfer T across the wave number k is highly intermittent and the skewness S and flatness F of T increase with k approximately as S∝(kL)^<αS>, F∝(kL)^<αF> in the inertial subrange, where α_S〜2/3, α_F〜1 and L the characteristic length scale of energy containing eddies. The comparison between the statistics of T, the energy dissipation rate ε and its average ε_r over a domain of scale r shows that T is less intermittent than ε, while there is a certain similarity between the probability distribution functions of T and ε_r.
社団法人日本物理学会の論文
2005-12-15