A BGK model for small Prandtl number in the Navier-Stokes approximation. [BGK (Bhatnagar, Gross, and Krook)]

Journal Article · Wed Mar 31 23:00:00 EST 1993 · Journal of Statistical Physics; (United States)

DOI:https://doi.org/10.1007/BF01048094· OSTI ID:6234936

Bouchut, F ^[1]; Perthame, B ^[2]

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1. PMMS/CNRS, Orleans (France)
2. Universite d'Orleans (France)

The authors 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 the H-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. 17 refs.

• OSTI ID: 6234936
• Journal Information: Journal of Statistical Physics; (United States), Journal Name: Journal of Statistical Physics; (United States) Vol. 71:1-2; ISSN JSTPBS; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

661300 -- Other Aspects of Physical Science-- (1992-)
664300* -- Atomic & Molecular Physics-- Collision Phenomena-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOLTZMANN EQUATION
COLLISION INTEGRALS
COMPRESSIBLE FLOW
DIFFERENTIAL EQUATIONS
ENTROPY
EQUATIONS
FLUID FLOW
H THEOREM
INTEGRALS
MATHEMATICAL MODELS
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
PRANDTL NUMBER
STATISTICAL MODELS
TESTING
THERMODYNAMIC PROPERTIES
VALIDATION