Hidden scale invariance of intermittent turbulence in a shell model
Abstract
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 selfsimilarity 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 analysis persuasively confirms that this symmetry is restored in a statistical sense within the inertial interval. At the end, we discuss implications of this result for the NavierStokes system.
 Publication:

arXiv eprints
 Pub Date:
 April 2020
 arXiv:
 arXiv:2005.00156
 Bibcode:
 2020arXiv200500156M
 Keywords:

 Physics  Fluid Dynamics
 EPrint:
 5 pages, 2 figures