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Turbulence through the Spyglass of Bilocal Kinetics

Published in Entropy. 2018, vol. 20, no. 7, 539

In two recent papers we introduced a generalization of Boltzmann’s assumption of molecular chaos based on a criterion of maximum entropy, which allowed setting up a bilocal version of Boltzmann’s kinetic equation. The present paper aims to investigate how the essentially non-local character of turbulent flows can be addressed through this bilocal kinetic description, instead of the more standard approach through the local Euler/Navier–Stokes equation. Balance equations appropriate to this kinetic scheme are derived and closed so as to provide bilocal hydrodynamical equations at the non-viscous order. These equations essentially consist of two copies of the usual local equations, but coupled through a bilocal pressure tensor. Interestingly, our formalism automatically produces a closed transport equation for this coupling term.

Keywords Fluid dynamicsKinetic theoryTurbulence
PMID: 33265628
PMCID: PMC7513064
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CHLIAMOVITCH, Gregor, THORIMBERT, Yann. Turbulence through the Spyglass of Bilocal Kinetics. In: Entropy, 2018, vol. 20, n° 7, p. 539. doi: 10.3390/e20070539 https://archive-ouverte.unige.ch/unige:165221

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Deposited on : 2022-11-21

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