Numerical solutions of the Boltzmann equation: Comparison of different algorithms

DOI10.1016/j.euromechflu.2007.04.001zbMath1129.76040OpenAlexW2028834910MaRDI QIDQ2469131

Andrzej Palczewski, Zbigniew Walenta, Giovanni Russo, Piotr Kowalczyk

Publication date: 4 February 2008

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2007.04.001

zbMATH Keywords

Monte Carlo methodshock wavediscrete velocity methodmolecular dynamics method

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Stochastic analysis applied to problems in fluid mechanics (76M35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28)

Related Items (15)

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Uses Software

• Boltzmann

Cites Work

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• An acceleration procedure for discrete velocity approximation of the Boltzmann collision operator
• High order numerical methods for the space non-homogeneous Boltzmann equation.
• On the fast Fourier transform of functions with singularities
• A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case
• Fast algorithms for computing the Boltzmann collision operator
• A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
• Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator
• Numerical solution of the Boltzmann equation by time relaxed Monte Carlo (TRMC) methods

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