(1) Department of Physics & Astronomy, Rice University, TX 77005-1892 Houston, USA;(2) Department of Physics, The Catholic University of Korea, 420-743 Puchon, Korea
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 expansion, as the effective expansion parameter is . 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 .Received: 20 December 2002, Published online: 23 July 2003PACS: 47.27.Ak Fundamentals - 47.27.Gs Isotropic turbulence; homogeneous turbulence - 05.10.Cc Renormalization group methods
expansion, as the effective expansion parameter is 
. 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 
.Received: 20 December 2002, Published online: 23 July 2003PACS: 47.27.Ak Fundamentals - 47.27.Gs Isotropic turbulence; homogeneous turbulence - 05.10.Cc Renormalization group methods