A BGK model for small Prandtl number in the Navier-Stokes approximation View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1993-04

AUTHORS

François Bouchut, Benoít Perthame

ABSTRACT

We present a BGK-type collision model which approximates, by a Chapman-Enskog expansion, the compressible Navier-Stokes equations with a Prandtl number that can be chosen arbitrarily between 0 and 1. This model has the basic properties of the Boltzmann equation, including theH-theorem, but contains an extra parameter in comparison with the standard BGK model. This parameter is introduced multiplying the collision operator by a nonlinear functional of the distribution function. It is adjusted to the Prandtl number. More... »

PAGES

191-207

References to SciGraph publications

  • 1991. The Dirichlet Boundary Value Problem for B.G.K. Equation in ADVANCES IN KINETIC THEORY AND CONTINUUM MECHANICS
  • 1979-06. On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Journal

    TITLE

    Journal of Statistical Physics

    ISSUE

    1-2

    VOLUME

    71

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01048094

    DOI

    http://dx.doi.org/10.1007/bf01048094

    DIMENSIONS

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