A statistical mechanics model of isotropic turbulence well-defined within the context of the εexpansion

摘要

A statistical mechanics model of isotropic turbulence that renormalizes the effects of turbulent stresses into a velocity-gradient-dependent random force term is introduced. The model is well-defined within the context of the renormalization group ε expansion, as the effective expansion parameter is O (ε). The Kolmogorov constant and N parameter of turbulence are of order unity, in accord with experimental results. Nontrivial intermittency corrections to the single-time structure functions are calculated as a controlled expansion in ε.