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A new consistent discrete-velocity model for the Boltzmann equation

✍ Scribed by Vladislav A. Panferov; Alexei G. Heintz

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
202 KB
Volume
25
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper discusses the convergence of a new discrete‐velocity model to the Boltzmann equation. First the consistency of the collision integral approximation is proved. Based on this we prove the convergence of solutions for a modified model to renormalized solutions of the Boltzmann equation. In a numerical example, the solutions to the discrete problems are compared with the exact solution of the Boltzmann equation in the space‐homogeneous case. Copyright © 2002 John Wiley & Sons, Ltd.

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