Regularized Boltzmann operators

DOI10.1016/S0898-1221(97)00258-7zbMath0910.76073OpenAlexW2084498274WikidataQ127633883 ScholiaQ127633883MaRDI QIDQ1130366

Christophe Buet, Pierre Degond, Stephane Cordier

Publication date: 20 August 1998

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(97)00258-7

zbMATH Keywords

distribution functionparticle methods\(H\)-theoremBoltzmann collision operatordiscrete velocity methodcollisional invariantscut-off parametermicroscopic collisionssmoothing of masses of particles

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (7)

GENERALIZED DISCRETE VELOCITY MODELS ⋮ A numerical algorithm for kinetic modelling of evaporation processes ⋮ Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement ⋮ Numerical methods for kinetic equations ⋮ Modelling opinion formation by means of kinetic equations ⋮ Discrete model collision operators of Boltzmann type ⋮ Study of a shock wave structure in gas mixtures on the basis of the Boltzmann equation

Cites Work

• Oscillations of anharmonic Fourier series and the wave equation
• Deterministic particle simulations of the Boltzmann transport equation of semiconductors
• The Boltzmann equation and its applications
• The \(\Delta\)-\(\epsilon\) method for the Boltzmann equation
• Asymptotic preserving scheme and numerical methods for radiative hydrodynamic models
• Direct simulation of gas flows at the molecular level
• The Weighted Particle Method for Convection-Diffusion Equations. Part 2: The Anisotropic Case
• A direct method for solving the Boltzmann equation
• MODEL KINETIC EQUATION FOR THE DISTRIBUTION OF DISCRETIZED INTERNAL ENERGY
• A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics
• Numerical study of discrete-velocity gases
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