A new consistent discrete-velocity model for the Boltzmann equation

DOI10.1002/mma.303zbMath0997.82036OpenAlexW2125505119MaRDI QIDQ4539450

Vladislav Panferov, Alexei Heintz

Publication date: 8 July 2002

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.303

zbMATH Keywords

Boltzmann equationdiscrete-velocity model

Mathematics Subject Classification ID

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Cites Work

• Diophantine approximations and diophantine equations
• Existence, stability, and convergence of solutions of discrete velocity models to the Boltzmann equation
• The mathematical theory of dilute gases
• Convergence of discrete-velocity schemes for the Boltzmann equation
• Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules
• Global weak solutions of Vlasov‐Maxwell systems
• On a simulation scheme for the Boltzmann equation
• Structure of normal shock waves: Direct numerical analysis of the Boltzmann equation for hard-sphere molecules
• Exact solutions of the Boltzmann equation
• A direct method for solving the Boltzmann equation
• A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
• Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation
• Numerical analysis of a rarefied gas flow past a volatile particle using the Boltzmann equation for hard-sphere molecules
• A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics
• Shock Structure in a Simple Discrete Velocity Gas
• Numerical study of discrete-velocity gases

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