English

Velocity statistics inside coherent vortices generated by the inverse cascade of $2d$ turbulence

Fluid Dynamics 2016-12-21 v1

Abstract

We analyze velocity fluctuations inside coherent vortices generated as a result of the inverse cascade in the two-dimensional (2d2d) turbulence in a finite box. As we demonstrated in \cite{16KL}, the universal velocity profile, established in \cite{14LBFKL}, corresponds to the passive regime of flow fluctuations. The property enables one to calculate correlation functions of the velocity fluctuations in the universal region. We present results of the calculations that demonstrate a non-trivial scaling of the structure function. In addition the calculations reveal strong anisotropy of the structure function.

Keywords

Cite

@article{arxiv.1609.00918,
  title  = {Velocity statistics inside coherent vortices generated by the inverse cascade of $2d$ turbulence},
  author = {I. V. Kolokolov and V. V. Lebedev},
  journal= {arXiv preprint arXiv:1609.00918},
  year   = {2016}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1511.03113