We prove the convergence of a conservative and entropic discrete-velocity model for the Bathnagar-Gross-Krook (BGK) equation. In this model, the approximation of the Maxwellian is based on a discrete entropy minimization principle. The main difficulty, due to its implicit definition, is to prove tha
On the theory of simple discrete models of the Boltzmann equation
β Scribed by Yasushi Shizuta
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 799 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0196-8858
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## Abstract This paper discusses the convergence of a new discreteβvelocity 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 e
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