The spectra of the squares of velocity quadratics including the energy dissipation rate ε per unit mass, the enstrophy ω2 and the pressure p 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 20483. These simulations were performed using the Earth Simulator computing system. The spectra for ε, ω2 and p exhibited a wave number range in which the spectra scaled with the wave number k as ∝-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 ε and ω2 were about 2/3, and very different from the Gaussian approximation values.
|Number of pages||4|
|Journal||journal of the physical society of japan|
|Publication status||Published - May 2003|
- Energy dissipation rate
- High-resolution DNS
ASJC Scopus subject areas
- Physics and Astronomy(all)