Some recent results on discrete velocity models and ramifications for lattice Boltzmann equation

DOI10.1016/S0010-4655(00)00093-XzbMath0983.76072OpenAlexW2079631834WikidataQ127934002 ScholiaQ127934002MaRDI QIDQ1581236

Li-Shi Luo

Publication date: 23 April 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(00)00093-x

zbMATH Keywords

\(H\)-functionlattice Boltzmann equationthermodynamic consistency\(H\)-theoremdiscrete velocity modelcontinuous Boltzmann equationequilibrium distribution functionstability of attractor

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)

Related Items (7)

The lattice Boltzmann method for nearly incompressible flows ⋮ Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation ⋮ Accuracy analysis of high-order lattice Boltzmann models for rarefied gas flows ⋮ A unified operator splitting approach for multi-scale fluid-particle coupling in the lattice Boltzmann method ⋮ Discrete unified gas kinetic scheme with a force term for incompressible fluid flows ⋮ THERMAL LATTICE BOLTZMANN MODEL WITH VISCOUS HEAT DISSIPATION IN THE INCOMPRESSIBLE LIMIT ⋮ Nonexistence of \(H\) theorem for some lattice Boltzmann models

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