Cellular automata — lattice gas models for PDE's

✍ Scribed by Leesa Brieger; Ernesto Bonomi

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 822 KB
• Volume: 73
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/0010-4655(92)90028-w

✦ Synopsis

Lattice gases, one class of cellular automaton model, are increasingly under investi$ation as a highly parallel means of simulating given partial differential equations. We examine stochastic lattice gas simulations, turning our attention particularly toward diffusive processes: nonlinear diffusion, diffusion with reaction, diffusion with advection. We summarize our results here, directing the reader to previous articles for more details. Numerical studies are included, comparing lattice gas results against more traditional numerical methods.