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Turbulence through the Spyglass of Bilocal Kinetics

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 turbu...

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Detalles Bibliográficos
Autores principales: Chliamovitch, Gregor, Thorimbert, Yann
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513064/
https://www.ncbi.nlm.nih.gov/pubmed/33265628
http://dx.doi.org/10.3390/e20070539
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author Chliamovitch, Gregor
Thorimbert, Yann
author_facet Chliamovitch, Gregor
Thorimbert, Yann
author_sort Chliamovitch, Gregor
collection PubMed
description 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.
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spelling pubmed-75130642020-11-09 Turbulence through the Spyglass of Bilocal Kinetics Chliamovitch, Gregor Thorimbert, Yann Entropy (Basel) Article 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. MDPI 2018-07-20 /pmc/articles/PMC7513064/ /pubmed/33265628 http://dx.doi.org/10.3390/e20070539 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Chliamovitch, Gregor
Thorimbert, Yann
Turbulence through the Spyglass of Bilocal Kinetics
title Turbulence through the Spyglass of Bilocal Kinetics
title_full Turbulence through the Spyglass of Bilocal Kinetics
title_fullStr Turbulence through the Spyglass of Bilocal Kinetics
title_full_unstemmed Turbulence through the Spyglass of Bilocal Kinetics
title_short Turbulence through the Spyglass of Bilocal Kinetics
title_sort turbulence through the spyglass of bilocal kinetics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513064/
https://www.ncbi.nlm.nih.gov/pubmed/33265628
http://dx.doi.org/10.3390/e20070539
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