Vortex sheet dynamics and turbulence
Classical Physics
2007-05-23 v1 Statistical Mechanics
Abstract
The nonlinear evolution of a vortex sheet driven by the Kelvin--Helmholtz instability is characterized by the formation of a spiral possessing complex stretching and intensity patterns. We show that the power energy spectrum of a single two-dimensional vortex sheet tends to the usual fluid turbulent spectrum, with an exponent of -3. Using numerical simulations and asymptotic methods, we demonstrate the relation between this power law and the singularities in the geometry and vorticity distribution of the sheet.
Cite
@article{arxiv.physics/0607108,
title = {Vortex sheet dynamics and turbulence},
author = {Malek Abid and Alberto Verga},
journal= {arXiv preprint arXiv:physics/0607108},
year = {2007}
}
Comments
Submitted to Phys. Rev. Letters, the Dynamique des vortex Collaboration