Velocity discretization in numerical schemes for BGK equations

The need for accurate numerical solutions to kinetic equations has sharply increased in recent times due to the fact that the dynamics of gas in micro structures largely occurs in the kinetic regime, when the Knudsen number Kn, representing the ratio between the mean free path of molecules and the physical dimensions of the computational domain, cannot be neglected. In particular much interest has focused on models approximating the Boltzmann equations for small to moderate Knudsen numbers. One such model is the BGK model introduced in [2].