English

How coherent are the vortices of two-dimensional turbulence?

Dynamical Systems 2014-06-30 v2 Fluid Dynamics Geophysics

Abstract

We use recent developments in the theory of finite-time dynamical systems to objectively locate the material boundaries of coherent vortices in two-dimensional Navier--Stokes turbulence. We show that these boundaries are optimal in the sense that any closed curve in their exterior will lose coherence under material advection. Through a detailed comparison, we find that other available Eulerian and Lagrangian techniques significantly underestimate the size of each coherent vortex.

Keywords

Cite

@article{arxiv.1402.4835,
  title  = {How coherent are the vortices of two-dimensional turbulence?},
  author = {Mohammad Farazmand and George Haller},
  journal= {arXiv preprint arXiv:1402.4835},
  year   = {2014}
}

Comments

revised version