期刊
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
卷 74, 期 5, 页码 1464-1471出版社
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.74.1464
关键词
homogeneous isotropic turbulence; high-Reynolds-number turbulence; direct numerical simulation; energy spectrum; near dissipation range
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-lambda and resolution ranging up to about 675 and 4096(3), respectively. The spectra in the Reynolds number range fit well to the form C(k eta)(alpha) exp(-beta k eta) in the wavenumber range 0.5 less than or similar to k eta less than or similar to 1.5, where eta is the Kolmogorov dissipation length scale and C, alpha and beta are constants independent of k. The values of alpha and beta decrease monotonically with R-lambda, and they are consistent with the conjecture that they approach to constants as R-lambda -> infinity, but the approach, especially that of beta, is slow.
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