title: Multiple-relaxation-time lattice Boltzmann models in three dimensions.
abstract: This article provides a concise exposition of the multiple-relaxation-time lattice Boltzmann equation, with examples of 15-velocity and 19-velocity models in three dimensions. Simulation of a diagonally lid-driven cavity flow in three dimensions at Re = 500 and 2000 is performed. The results clearly demonstrate the superior numerical stability of the multiple-relaxation-time lattice Boltzmann equation over the popular lattice Bhatnagar-Gross-Krook equation.
authors.affiliation: Laboratoire de Physique Statistique, Ecole Normale Supérieure, Paris, France. dominique.dHumieres@lps.ens.fr
authors.forename: Dominique
authors.initials: D
authors.lastname: D'Humières
authors.forename: Irina
authors.initials: I
authors.lastname: Ginzburg
authors.forename: Manfred
authors.initials: M
authors.lastname: Krafczyk
authors.forename: Pierre
authors.initials: P
authors.lastname: Lallemand
authors.forename: Li-Shi
authors.initials: LS
authors.lastname: Luo
mesh_terms: D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D003460:Crystallization / Q000379:methods; D004058:Diffusion; D005740:Gases / Q000737:chemistry*; D007700:Kinetics; D008954:Models, Biological; D008956:Models, Chemical; D015233:Models, Statistical; D010316:Particle Size; D011789:Quantum Theory; D012212:Rheology / Q000379:methods*
chemical_list: D003102:Colloids; D005740:Gases