A random discrete velocity model and approximation of the Boltzmann equation

DOI10.1007/BF01053594zbMath0935.82560OpenAlexW2003040587MaRDI QIDQ1279201

Reinhard Illner, Wolfgang Wagner

Publication date: 22 May 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01053594

zbMATH Keywords

Boltzmann equationdiscrete velocity modelssimulation methods

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (6)

Stochastic particle methods and approximation of the Boltzmann equation ⋮ A generalized collision mechanism for stochastic particle schemes approximating Boltzmann-type equations ⋮ Stochastic systems of particles with weights and approximation of the Boltzmann equation.the Markov process in the spatially homogeneous case ⋮ A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics ⋮ Reduction of the number of particles in the stochastic weighted particle method for the Boltzmann equation ⋮ Approximation of the Boltzmann equation by discrete velocity models.

Cites Work

• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• A boundary value problem for discrete-velocity models
• A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
• Exact solutions of the Broadwell model in 1+1 dimensions
• Boundary value problems for a class of the Broadwell models in bounded domains with general boundary data
• A Convergence Proof for Nanbu’s Simulation Method for the Full Boltzmann Equation
• Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory
• Eestence Globale à Donné de Cauchy Petites pour les modéles discrets de ―équation de Boltzmann
• Shock Structure in a Simple Discrete Velocity Gas
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