Scaling laws and vortex profiles in 2D decaying turbulence

Abstract

We use high resolution numerical simulations over several hundred of turnover times to study the influence of small scale dissipation onto vortex statistics in 2D decaying turbulence. A self-similar scaling regime is detected when the scaling laws are expressed in units of mean vorticity and integral scale, as predicted by Carnevale et al., and it is observed that viscous effects spoil this scaling regime. This scaling regime shows some trends toward that of the Kirchhoff model, for which a recent theory predicts a decay exponent $\xi =1$. In terms of scaled variables, the vortices have a similar profile close to a Fermi-Dirac distribution.

4 Latex pages and 4 figures. Submitted to Phys. Rev. Lett

References in corpus (2)

• Quasilinear theory of the 2D Euler equation
• Numerical renormalization group of vortex aggregation in 2D decaying turbulence: the role of three-body interactions

Cited by in corpus (4)

• Lagrangian Investigation of Two-Dimensional Decaying Turbulence
• Effective merging dynamics of two and three fluid vortices: Application to two-dimensional decaying turbulence
• Statistical mechanics of the shallow-water system with a prior potential vorticity distribution
• Mutual thermal equilibrium in long-range Ising model using nonadditive entropy