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

Rothman, Daniel H.,Zaleski, Stiphane

ISBN 10: 052155201X / ISBN 13: 9780521552011

Published by Cambridge University Press, 1997

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Bibliographic Details

• Title: Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics (Collection Alea-Saclay: Monographs and Texts in Statistical Physics)
• Publisher: Cambridge University Press
• Publication Date: 1997
• Language: English
• ISBN 10: 052155201X
• ISBN 13: 9780521552011
• Binding: hardcover
• Condition: Good

About this title

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.

Book Description

A self-contained, comprehensive introduction to momentum-conserving lattice gases, showing how they give rise to isotropic macroscopic hydrodynamics, and how they lead to simple models of fluid phase separation, hydrodynamic interfaces, multiphase flow, and flow through porous media. Many exercises are included.