Corpus ID: 119171937

A mathematical consideration of vortex thinning in 2D turbulence

  title={A mathematical consideration of vortex thinning in 2D turbulence},
  author={Tsuyoshi Yoneda},
  journal={arXiv: Analysis of PDEs},
  • T. Yoneda
  • Published 1 September 2016
  • Physics, Mathematics
  • arXiv: Analysis of PDEs
In two dimensional turbulence, vortex thinning process is one of the attractive mechanism to explain inverse energy cascade in terms of vortex dynamics. By direct numerical simulation to the two-dimensional Navier-Stokes equations with small-scale forcing and large-scale damping, Xiao-Wan-Chen-Eyink (2009) found an evidence that inverse energy cascade may proceed with the vortex thinning mechanism. The aim of this paper is to analyze the vortex-thinning mechanism mathematically (using the… Expand


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