Journal
KINETIC AND RELATED MODELS
Volume 2, Issue 1, Pages 231-250Publisher
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/krm.2009.2.231
Keywords
Rarefied gas flows; Boltzmann equation; Lagrangian methods; Numerical methods for time dependent statistical mechanics
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Funding
- Universita Italo Francese
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In this paper we present a new semilagrangian scheme for the numerical solution of the BGK model of rarefied gas dynamics, in a domain with moving boundaries, in view of applications to Micro Electro Mechanical Systems (MEMS). The source term is treated implicitly, which makes the scheme Asymptotic Preserving in the limit of small Knudsen number. Because of its Lagrangian nature, no stability restriction is posed on the CFL number, which is determined only by accuracy requirements. The method is tested on a one dimensional piston problem. The solution for small Knudsen number is compared with the results obtained by the numerical solution of the Euler equation of gas dynamics.
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