A Look at Lattice Boltzmann Equations: The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond

Abstract

"The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond", by Sauro SucciOxford University Press, New York, 2001, ISBN: 0198503989, US$100During the past 10 years, a new class of algorithms based on the lattice Loltzmann equation (LBE) has been developed for computational fluid dynamics (CFD). These novel and fascinating algorithms were inspired by kinetic theory a branch of statistical physics. They defy the conventional wisdom of CFD in that they provide stable, fully explicit differencing schemes, with no need for elliptic solvers or upwind differencing. Yet, they are also remarkably simple. In fact, the typical reaction of long-time CFDpractitioners when encountering lattice Boltzmann algorithms for the .rst time is often something like, "that can't possibly work. It's too easy."