The limiting kinetic equation of the Consistent Boltzmann Algorithm for dense gases

Authors
Garcia, AL Wagner, W
Citation
Al. Garcia et W. Wagner, The limiting kinetic equation of the Consistent Boltzmann Algorithm for dense gases, J STAT PHYS, 101(5-6), 2000, pp. 1065-1086
Citations number
17
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
101
Issue
5-6
Year of publication
2000
Pages
1065 - 1086
Database
ISI
SICI code
0022-4715(200012)101:5-6<1065:TLKEOT>2.0.ZU;2-L
Abstract
This paper establishes a theoretical foundation for the Consistent Boltzman n Algorithm (CBA) by deriving the limiting kinetic equation. The formulatio n is similar to the proof by one of the authors that the Boltzmann equation is the limiting kinetic equation for Direct Simulation Monte Carlo [W. Wag ner, J. Statist. Phys. 66:1011 (1992)]. For a simplified model distilled fr om CBA, the limiting equation is solved numerically, and very good agreemen t with the predictions of the theory is found.