Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics (Collection Alea-Saclay: Monographs and Texts in Statistical Physics) - Hardcover

Rothman, Daniel H.; Zaleski, Stiphane

Hardcover

ISBN 10: 052155201X ISBN 13: 9780521552011

Publisher: Cambridge University Press, 1997

Synopsis

The text is a self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases. Lattice-gas cellular automata are discrete models of fluids. Identical particles hop from site to site on a regular lattice, obeying simple conservative scattering rules when they collide. Remarkably, at a scale larger than the lattice spacing, these discrete models simulate the Navier-Stokes equations of fluid mechanics. This book addresses three important aspects of lattice gases. First, it shows how such simple idealised microscopic dynamics give rise to isotropic macroscopic hydrodynamics. Second, it details how the simplicity of the lattice gas provides for equally simple models of fluid phase separation, hydrodynamic interfaces, and multiphase flow. Lastly, it illustrates how lattice-gas models and related lattice-Boltzmann methods have been used to solve problems in applications as diverse as flow through porous media, phase separation, and interface dynamics. Many exercises and references are included.

About this title

Review

'... this book gives a very good review of the main results obtained in the field of lattice-gas models. It will help newcomers to get started. Many of the results shown in the book are impresssive and should attract people who commonly use standard approaches.' P. Lallemand, European Journal of Mechanics

From the Author

A self-contained introduction to hydrodynamic lattice gases.
This text describes how fluid flow may be simulated with simple computer models known as lattice-gas cellular automata. The models consist of particles that hop and scatter on a regular grid. Remarkably, such a simple model may be used to solve the equations of fluid mechanics. The authors show why these simple models behave like real fluids, how they may be designed to model immiscible mixtures such as water and oil, and how they may be used to solve certain problems in fluid mechanics.
Exercises and references are included.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1997
• Language: English
• ISBN 10: 052155201X
• ISBN 13: 9780521552011
• Binding: Hardcover
• Number of pages: 320