Boltzmann kinetic equation for filtered fluid turbulence

We develop a kinetic Boltzmann equation for describing filtered fluid turbulence applicable for continuum and noncontinuum effects. The effect of unresolved turbulent motion on the resolved distribution function is elucidated and closure modeling issues of kinetic Boltzmann and Navier-Stokes descrip...

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Bibliographic Details
Published in:Physical review letters Vol. 99; no. 3; p. 034501
Main Author: Girimaji, Sharath S
Format: Journal Article
Language:English
Published: United States 20-07-2007
Online Access:Get full text
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Summary:We develop a kinetic Boltzmann equation for describing filtered fluid turbulence applicable for continuum and noncontinuum effects. The effect of unresolved turbulent motion on the resolved distribution function is elucidated and closure modeling issues of kinetic Boltzmann and Navier-Stokes descriptions are reconciled. This could pave the way for unifying turbulence modeling at kinetic and continuum levels and the development of numerical methods that are valid over a wide range of flow physics.
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ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.99.034501