Energy-conserving lattice Boltzmann thermal model in two dimensions

DOI10.1007/S10955-005-5256-6zbMath1085.82010OpenAlexW2036556280MaRDI QIDQ811914

M. J. Clifton, Stéphane Blanco, Benjamin Piaud, Richard Fournier

Publication date: 23 January 2006

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

Full work available at URL: https://doi.org/10.1007/s10955-005-5256-6

zbMATH Keywords

Boltzmann equationtwo dimensionsevolutionnumerical solutionsCouette flowcompressibilitylattice modelenergy conservingBGK approximationGauss-Hermitte quadratureThermal lattice Boltzmann

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Cites Work

• A novel thermal model for the lattice Boltzmann method in incompressible limit
• Stabilization of thermal lattice Boltzmann models
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• Lattice Boltzmann equation on a two-dimensional rectangular grid

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