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Existence, Stability, and Convergence of Solutions of Discrete Velocity Models to the Boltzmann Equation

✍ Scribed by Andrzej Palczewski; Jacques Schneider

Book ID
110430624
Publisher
Springer
Year
1998
Tongue
English
Weight
645 KB
Volume
91
Category
Article
ISSN
0022-4715

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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

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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