A new consistent discrete‐velocity model for the Boltzmann equation | Zendy

Panferov Vladislav A. | Zendy; Heintz Alexei G. | Zendy

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A new consistent discrete‐velocity model for the Boltzmann equation

Author(s) -

Panferov Vladislav A.,

Heintz Alexei G.

Publication year - 2002

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.303

Subject(s) - boltzmann equation , mathematics , convergence (economics) , boltzmann constant , consistency (knowledge bases) , homogeneous , mathematical analysis , lattice boltzmann methods , space (punctuation) , collision , physics , geometry , mechanics , computer science , computer security , quantum mechanics , combinatorics , economics , thermodynamics , economic growth , operating system

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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