Spectra of Energy Dissipation, Enstrophy and Pressure by High-Resolution Direct Numerical Simulations of Turbulence in a Periodic Box (Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)

概要

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The spectra of the squares of velocity quadratics including the energy dissipation rate ∈ per unit mass, the enstrophy ω^2 and the pressure ρ were measured using the data obtained from direct numerical simulations (DNSs) of incompressible turbulence in a periodic box with number of grid points up to 2048^3. These simulations were performed using the Earth Simulator computing system. The spectra for ∈, ω^2 and ρ exhibited a wave number range in which the spectra scaled with the wave number κ as α κ^<-a>. Exponent a for p was about 1.81, which is in good agreement with the value obtained by assuming the joint probability distribution of the velocity field to be Gaussian, while a values for ∈ and ω^2 were about 2/3, and very different from the Gaussian approximation values.
社団法人日本物理学会の論文
2003-05-15