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
β¦ LIBER β¦
Convergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation
β Scribed by Russo, Giovanni; Santagati, Pietro; Yun, Seok-Bae
- Book ID
- 118182033
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2012
- Tongue
- English
- Weight
- 274 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0036-1429
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We consider a time and spatial explicit discretisation scheme for the Boltzmannequation. We prove some Maxwellian bounds on the resulting approximated solution anddeduce its convergence using a new time-discrete averaging lemma. ο 2003 Γditions scientifiques et mΓ©dicales Elsevier SAS MSC: 35A35; 65L