Lagrangian Irreversibility and Eulerian Dissipation in Fully-Developed Turbulence

Abstract

We revisit the issue of Lagrangian irreversibility in the context of recent results [Xu, et al., PNAS, 111, 7558 (2014)] on flight-crash events in turbulent flows and show how extreme events in the Eulerian dissipation statistics are related to the statistics of power-fluctuations for tracer trajectories. Surprisingly, we find that particle trajectories in intense dissipation zones are dominated by energy gains sharper than energy losses, contrary to flight-crashes, through a pressure-gradient driven take-off phenomenon. Our conclusions are rationalised by analysing data from simulations of three-dimensional intermittent turbulence, as well as from non-intermittent decimated flows. Lagrangian irreversibility is found to persist even in the latter case, wherein fluctuations of the dissipation rate are shown to be relatively mild and to follow probability distribution functions with exponential tails.

arXiv comment9 pages, 6 figures

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Cited by in corpus (3)

• On the thermalization of the three-dimensional, incompressible, Galerkin-truncated Euler equation
• Heavy inertial particles in rotating turbulence : distribution of particles in flow and evolution of Lagrangian trajectories
• An upper critical dimension for dynamo action: A $d$-dimensional closure model study