Boltzmann kinetic equation for filtered fluid turbulence

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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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
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Abstract 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.
AbstractList 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.
ArticleNumber 034501
Author Girimaji, Sharath S
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BackLink https://www.ncbi.nlm.nih.gov/pubmed/17678288$$D View this record in MEDLINE/PubMed
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Cites_doi 10.1103/PhysRevE.59.R2527
10.1103/PhysRevLett.61.2332
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10.1103/PhysRevE.71.016708
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References S. Harris (PhysRevLett.99.034501Cc3R1) 2004
PhysRevLett.99.034501Cc15R1
PhysRevLett.99.034501Cc14R1
PhysRevLett.99.034501Cc13R1
PhysRevLett.99.034501Cc12R1
PhysRevLett.99.034501Cc11R1
PhysRevLett.99.034501Cc10R1
PhysRevLett.99.034501Cc9R1
PhysRevLett.99.034501Cc8R1
PhysRevLett.99.034501Cc7R1
PhysRevLett.99.034501Cc6R1
PhysRevLett.99.034501Cc5R1
PhysRevLett.99.034501Cc4R1
PhysRevLett.99.034501Cc2R1
PhysRevLett.99.034501Cc1R1
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  doi: 10.1103/PhysRevE.59.R2527
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  doi: 10.1103/PhysRevLett.61.2332
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  doi: 10.1103/PhysRevA.45.R5339
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  doi: 10.1023/A:1014570923357
– volume-title: An Introduction to the Theory of the Boltzmann Equation
  year: 2004
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  contributor:
    fullname: S. Harris
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  doi: 10.1063/1.2140021
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  doi: 10.1016/0370-1573(92)90090-M
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  doi: 10.1098/rsta.1895.0004
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  doi: 10.1146/annurev.fluid.30.1.329
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