Published April 1993
| Version v1
Journal article
A BGK model for small Prandtl number in the Navier-Stokes approximation
Description
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
Additional details
Additional titles
- Augmented title (English)
- BGK (Bhatnagar, Gross, and Krook)
Publishing Information
- Journal Title
- Journal of Statistical Physics
- Journal Volume
- 71
- Journal Issue
- 1-2
- Journal Page Range
- p. 191-207.
- ISSN
- 0022-4715
- CODEN
- JSTPBS
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 24068290
- Subject category
- S74: ATOMIC AND MOLECULAR PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOLTZMANN EQUATION; COLLISION INTEGRALS; COMPRESSIBLE FLOW; ENTROPY; H THEOREM; NAVIER-STOKES EQUATIONS; PRANDTL NUMBER; STATISTICAL MODELS; VERIFICATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FLUID FLOW; INTEGRALS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES