Abstract
We extend the numerical simulations of She et al. [Phys. Rev. Lett. 70, 3251 (1993)] of highly turbulent flow with 15≤Taylor-Reynolds numbers ≤200 up to ≊45 000, employing a reduced wave vector set method (introduced earlier) to approximately solve the Navier-Stokes equation. First, also for these extremely high Reynolds numbers , the energy spectra as well as the higher moments—when scaled by the spectral intensity at the wave number of peak dissipation—can be described by one universal function of k/ for all . Second, the k-space inertial subrange scaling exponents of this universal function are in agreement with the 1941 Kolmogorov theory (the better, the larger is), as is the dependence of . Only around , viscous damping leads to a slight energy pileup in the spectra, as in the experimental data (bottleneck phenomenon).
- Received 27 April 1994
DOI:https://doi.org/10.1103/PhysRevE.50.2784
©1994 American Physical Society