Velocity Discretization in Numerical Schemes for BGK Equations

A. Alaia, S. Pieraccini () and G. Puppo ()
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A. Alaia: Dipartimento di Matematica
S. Pieraccini: Dipartimento di Matematica
G. Puppo: Politecnico di Torino, Dipartimento di Matematica

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 857-864 from Springer

Abstract: 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].

Keywords: Velocity Space; Trapezoidal Rule; Riemann Problem; Quadrature Rule; Quadrature Point (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/978-3-540-75712-2_89

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