Multiple–relaxation–time lattice Boltzmann models in three dimensions

Dominique d'Humières

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.

    Royal Society Login

    List of OpenAthens registered sites, including contact details.