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 Rλ and resolution ranging up to about 675 and 40963, respectively. The spectra in the Reynolds number range fit well to the form C(kη)α exp(-βkη) in the wavenumber range 0.5 ≲lt; 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 Rλ, and they are consistent with the conjecture that they approach to constants as Rλ → ∞, but the approach, especially that of β, is slow.
- Direct numerical simulation
- Energy spectrum
- High-Reynolds-number turbulence
- Homogeneous isotropic turbulence
- Near dissipation range
ASJC Scopus subject areas
- Physics and Astronomy(all)