In the present paper we develop a new kind of discrete velocity models to discretize the Boltzmann collision operator. The chosen approach is situated between the macroscopic ansatz of the BGK-Model and the microscopic ansatz of usual discrete velocity models. Beside questions of the solvability and
A discrete boltzmann-type model of swarming
โ Scribed by L. Arlotti; A. Deutsch; M. Lachowicz
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 485 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0895-7177
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๐ SIMILAR VOLUMES
A discrete velocity model based on a lattice-Boltzmann approximation is considered in the low Mach number limit. A numerical scheme for this model working uniformly in the incompressible Navier-Stokes limit is constructed. The scheme is induced by the asymptotic analysis of the Navier-Stokes limit a
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
## Abstract This paper discusses the convergence of a new discreteโvelocity 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