English

Dimensional analysis of two-dimensional turbulence

Fluid Dynamics 2019-07-24 v1 Cosmology and Nongalactic Astrophysics

Abstract

We study the scaling properties of two-dimensional turbulence using dimensional analysis. In particular, we consider the energy spectrum both at large and small scales and in the "inertial ranges" for the cases of freely decaying and forced turbulence. We also investigate the properties of an "energy condensate" at large scales in spatially finite systems. Finally, an analysis of a possible inverse cascade in freely decaying turbulence is presented.

Keywords

Cite

@article{arxiv.1905.03201,
  title  = {Dimensional analysis of two-dimensional turbulence},
  author = {Leonardo Campanelli},
  journal= {arXiv preprint arXiv:1905.03201},
  year   = {2019}
}

Comments

6 pages, 2 figures, accepted for publication in Modern Physics Letters B

R2 v1 2026-06-23T09:00:38.398Z