On the Broadwell model of the Boltzmann equation for a simple discrete velocity gas
β Scribed by Kiyoshi Inoue; Takaaki Nishida
- Publisher
- Springer
- Year
- 1976
- Tongue
- English
- Weight
- 850 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0095-4616
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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
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
A generalization of the Broadwell models for the discrete Boltzmann equation with linear and quadratic terms is investigated. We prove that there exists a time-global solution to this model in one space-dimension for locally bounded initial data, using a maximum principle of solutions. The boundedne