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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2018
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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. |
format | Online Article Text |
id | pubmed-7513064 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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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