Convergence of a discrete-velocity model for the Boltzmann-BGK equation

DOI10.1016/S0898-1221(01)85008-2zbMath0980.82027MaRDI QIDQ5948694

Luc Mieussens

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Boltzmann equationkinetic theoryBGK modelBathnagar Gross Krook equationconvergence of numerical schemediscrete-velocity models

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (17)

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Cites Work

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• Uniqueness for the BGK-equation in \(\mathbb{R}^ N\) and rate of convergence for a semi-discrete scheme
• Modèles à vitesses discrètes pour le calcul d'écoulements hors équilibre cinétique
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• A direct method for solving the Boltzmann equation
• A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
• DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS
• A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics
• Convergence of a Weighted Particle Method for Solving the Boltzmann (B.G.K) Equation
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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