Journal
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 380, Issue 2218, Pages -Publisher
ROYAL SOC
DOI: 10.1098/rsta.2021.0074
Keywords
turbulence; avalanche; intermittency
Categories
Funding
- European Research Council (ERC) under the European Union [882340]
- European Research Council (ERC) [882340] Funding Source: European Research Council (ERC)
Ask authors/readers for more resources
This paper investigates a simplified model of turbulence for large Reynolds numbers driven by a constant power energy input on large scales. The study reveals two distinct phases in the behaviour of the kinetic energy: a laminar phase and abrupt avalanche-like energy drops phase. The probability distributions of these phases exhibit scaling behaviour, and a scaling argument suggests a relationship between them.
In this paper, we consider a simplified model of turbulence for large Reynolds numbers driven by a constant power energy input on large scales. In the statistical stationary regime, the behaviour of the kinetic energy is characterized by two well-defined phases: a laminar phase where the kinetic energy grows linearly for a (random) time t(w) followed by abrupt avalanche-like energy drops of sizes S due to strong intermittent fluctuations of energy dissipation. We study the probability distribution P[t(w)] and P[S] which both exhibit a quite well-defined scaling behaviour. Although t(w) and S are not statistically correlated, we suggest and numerically checked that their scaling properties are related based on a simple, but non-trivial, scaling argument. We propose that the same approach can be used for other systems showing avalanche-like behaviour such as amorphous solids and seismic events. This article is part of the theme issue 'Scaling the turbulence edifice (part 1)'.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available