Energy Spectrum in the Near Dissipation Range of High Resolution Direct Numerical Simulation of Turbulence(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)

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The energy spectrum in the near dissipation range of turbulence is studied by analyzing 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 resolution ranging up to about 675 and 4096^3, respectively. The spectra in the Reynolds number range fit well to the form C(kη)^α exp(-βkη) in the wavenumber range 0.5≲kη≲1.5, where η is the Kolmogorov dissipation length scale and C, α and β are constants independent of k. The values of α and β decrease monotonically with R_λ, and they are consistent with the conjecture that they approach to constants as R_λ→∞, but the approach, especially that of β, is slow.
社団法人日本物理学会の論文
2005-05-15