Year: 2017
Type: article
Abstract: We consider the transition to strong turbulence in an infinite fluid stirred by a Gaussian random force. The transition is defined as a first appearance of anomalous scaling of normalized moments of velocity derivatives (dissipation rates) emerging from the low-Reynolds-number Gaussian background. It is shown that, due to multiscaling, strongly intermittent rare events can be quantitatively described in terms of an infinite number of different "Reynolds numbers" reflecting a multitude of anomalous scaling exponents. The theoretically predicted transition disappears at R_{λ}≤3. The developed theory is in quantitative agreement with the outcome of large-scale numerical simulations.
Source: Physical Review Letters
Authors: Victor Yakhot, Diego Donzis
Institutions: Boston University, Texas A&M University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3140958610