# Discrete-Velocity Models and Numerical Schemes for the Boltzmann-BGK Equation in Plane and Axisymmetric Geometries

@article{Mieussens2000DiscreteVelocityMA, title={Discrete-Velocity Models and Numerical Schemes for the Boltzmann-BGK Equation in Plane and Axisymmetric Geometries}, author={Luc Mieussens}, journal={Journal of Computational Physics}, year={2000}, volume={162}, pages={429-466} }

We present new numerical models for computing transitional or rarefied gas flows as described by the Boltzmann-BGK and BGK-ES equations. We first propose a new discrete-velocity model, based on the entropy minimization principle. This model satisfies the conservation laws and the entropy dissipation. Moreover, the problem of conservation and entropy for axisymmetric flows is investigated. We find algebraic relations that must be satisfied by the discretization of the velocity derivative…

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