English

Self-Similar Solutions in the Homogeneous Isotropic Turbulence

Fluid Dynamics 2009-06-20 v2 Atmospheric and Oceanic Physics

Abstract

We calculate the self-similar longitudinal velocity correlation function, the energy spectrum and the corresponding other properties using a theory on the isotropic homogeneous turbulence just presented by the author in a previous work. The correlation functions correspond to steady-state solutions of the evolution equation under the self-similarity hypothesis introduced by von K\'arm\'an. These solutions are numerically calculated and the results adequately describe several properties of the isotropic turbulence.

Keywords

Cite

@article{arxiv.0904.0818,
  title  = {Self-Similar Solutions in the Homogeneous Isotropic Turbulence},
  author = {Nicola de Divitiis},
  journal= {arXiv preprint arXiv:0904.0818},
  year   = {2009}
}

Comments

15 pages, 10 figures, submitted to Phys. Rev. E