Cellular automata and lattice boltzmann modeling of physical systems

Abstract

Cellular automata (CA) and lattice Boltzmann (LB) methods provide a natural modeling framework to describe and study many physical systems composed of interacting components. The reason for this success is the close relation between these methods and a mesoscopic abstraction of many natural phenomena. The theoretical basis of the CA and LB approaches are introduced and their potential is illustrated for several applications in physics, biophysics, environmental sciences, traffic models, and multiscale modeling.