Numerical simulations of two-dimensional forced turbulence suggest that the enstrophy transfer range energy spectrum E(k) a little steeper than k-3 is robust in the sense that it may be realized in a wave number range under different run conditions. It is shown that such energy spectra fit well E(k) = Ckη2/3k-3 [ln(k/k1)]-1/3, where Ck is a dimensionless constant, η the enstrophy transfer rate per unit mass and k1 a wave number at the bottom of the range. The simulations give Ck ≈ 1.9 in fairly good agreement with the existing theoretical estimates.
ASJC Scopus subject areas
- Condensed Matter Physics