Hidden scale invariance of intermittent turbulence in a shell model

@article{Mailybaev2020HiddenSI,
  title={Hidden scale invariance of intermittent turbulence in a shell model},
  author={Alexei A. Mailybaev},
  journal={arXiv: Fluid Dynamics},
  year={2020}
}
  • A. Mailybaev
  • Published 1 May 2020
  • Engineering
  • arXiv: Fluid Dynamics
It is known that scale invariance is broken in the developed hydrodynamic turbulence due to intermittency, substantiating complexity of turbulent flows. Here we challenge the concept of broken scale invariance by establishing a hidden self-similarity in intermittent turbulence. Using a simplified (shell) model, we derive a nonlinear spatiotemporal scaling symmetry of inviscid equations, which are reformulated in terms of intrinsic times introduced at different scales of motion. Numerical… 

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