Research Article

A new consistent discrete-velocity model for the Boltzmann equation

  1. Vladislav A. Panferov,
  2. Alexei G. Heintz*

Article first published online: 25 MAR 2002

DOI: 10.1002/mma.303

Issue

Mathematical Methods in the Applied Sciences

Mathematical Methods in the Applied Sciences

Volume 25, Issue 7, pages 571–593, 10 May 2002

Additional Information

How to Cite

Panferov, V. A. and Heintz, A. G. (2002), A new consistent discrete-velocity model for the Boltzmann equation. Math. Meth. Appl. Sci., 25: 571–593. doi: 10.1002/mma.303

Author Information

  1. Department of Mathematics, Chalmers University of Technology and Göteborg University, S-412 96 Göteborg, Sweden

*Department of Mathematics, Chalmers University of Technology and Göteborg University, S-412 96 Göteborg, Sweden

Publication History

  1. Issue published online: 25 MAR 2002
  2. Article first published online: 25 MAR 2002
  3. Manuscript Received: 20 JUN 2001

Funded by

  • TMR Project. Grant Number: ERB FMRX CT97 0157

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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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