Approximation of the Boltzmann equation by discrete velocity models
β Scribed by Wolfgang Wagner
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 502 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0022-4715
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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
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 new discrete velocity scheme for solving the Boltzmann equation is described. Directly solving the Boltzmann equation is computationally expensive because, in addition to working in physical space, the nonlinear collision integral must also be evaluated in a velocity space. Collisions between each