2002/02/28 by Jeong-Man Park, J.-M Park, Michael W. Deem · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Constant (computer programming) #Context (archaeology) #Fluid Dynamics and Turbulent Flows #Intermittency #Isotropy #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Physics #Quantum mechanics #Renormalization #Statistical Mechanics and Entropy #Statistical mechanics #Statistical physics #Theoretical and Computational Physics #Turbulence #cond-mat.stat-mech
paper · pdf · doi:10.1140/epjb/e2003-00201-9
16 pages, 2 figures, 4 tables
arxiv created 2003/05/19 · openalex publication_date 2003/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A new statistical field-theory model of isotropic turbulence is introduced. The model renormalizes the effects of turbulent stresses into a velocity-gradient-dependent random force. 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.