On the ellipsoidal statistical model for polyatomic gases View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2009-04

AUTHORS

Stéphane Brull, Jacques Schneider

ABSTRACT

The aim of this article is to construct a BGK-type model for polyatomic gases which gives in the hydrodynamic limit the proper transport coefficient. Its construction relies upon a systematic procedure: minimizing Boltzmann entropy under suitable moments constraints (Levermore in J Stat Phys 83:1021–1065, 1996; Brull and Schneider in Cont Mech Thermodyn 20(2):63–74, 2008). The obtained model corresponds to the ellipsoidal statistical model introduced in Andries et al. (Eur J Mech B Fluids 19:813–830, 2000). We also study the return to equilibrium of its solutions in the homogeneous case. More... »

PAGES

489-508

References to SciGraph publications

  • 1998-12. Domain of Definition of Levermore's Five-Moment System in JOURNAL OF STATISTICAL PHYSICS
  • 2008-05. A new approach for the ellipsoidal statistical model in CONTINUUM MECHANICS AND THERMODYNAMICS
  • 1995-06. Stability and exponential convergence for the Boltzmann equation in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1988. The Boltzmann Equation and Its Applications in NONE
  • 1996-06. Moment closure hierarchies for kinetic theories in JOURNAL OF STATISTICAL PHYSICS
  • 1988-09. Stability in L1 for the spatially homogenous Boltzmann equation in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00161-009-0095-3

    DOI

    http://dx.doi.org/10.1007/s00161-009-0095-3

    DIMENSIONS

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