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Collection Alea-Saclay : Monographs and Texts in Statistical Physics: Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics - Daniel H. Rothman

Collection Alea-Saclay

Monographs and Texts in Statistical Physics: Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics

Paperback Published: 23rd December 2004
ISBN: 9780521607605
Number Of Pages: 320

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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.

'... 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

A simple model of fluid mechanics
Two routes to hydrodynamics
Inviscid two-dimensional lattice-gas hydrodynamics
Viscous two-dimensional hydrodynamics
Some simple 3D models
The lattice-Boltzmann method
Using the Boltzmann method
Miscible fluids
Immiscible lattice gases
Lattice-Boltzmann method for immiscible fluids
Immiscible lattice gases in three dimensions
Liquid-gas models
Flow through porous media
Equilibrium statistical mechanics
Hydrodynamics in the Boltzmann approximation
Phase separation
Complex fluids and patterns
Author Index
Subject Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521607605
ISBN-10: 0521607604
Series: Collection Alea-Saclay: Monographs and Texts in Statistical Physics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 320
Published: 23rd December 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 24.6 x 18.9  x 1.7
Weight (kg): 0.57