A statistical mechanics model of isotropic turbulence well-defined within the context of the $\mathsf{\epsilon}$ expansion

Park J.-M and M. Deem ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2003, vol. 34, issue 1, 105-114

Abstract: 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 $\epsilon$ expansion, as the effective expansion parameter is $O(\epsilon)$ . 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 $\epsilon$ . Copyright Springer-Verlag Berlin/Heidelberg 2003

Date: 2003
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DOI: 10.1140/epjb/e2003-00201-9

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