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

Daniel H. Rothman (Author), Stiphane Zaleski (Author)

Book Description

Publication Date: September 28, 1997 | ISBN-10: 052155201X | ISBN-13: 978-0521552011 | Edition: 1st

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.

Editorial Reviews

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

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.

Product Details

• Hardcover: 320 pages
• Publisher: Cambridge University Press; 1st edition (September 28, 1997)
• Language: English
• ISBN-10: 052155201X
• ISBN-13: 978-0521552011
• Product Dimensions: 10 x 7.1 x 0.9 inches
• Shipping Weight: 1.6 pounds
• Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #3,770,638 in Books (See Top 100 in Books)

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8 of 8 people found the following review helpful:

4.0 out of 5 stars In depth analysis of LGCA hydrodynamics. Good reference., May 31, 1999

By A Customer

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

Rothman is a principal in the field of LGCA research, and it shows: the introductory material is lucid and self-contained. The more advanced topics (e.g., the statistical mechanics of LGCA) are also generally well-written, although not self-contained: many readers coming from computer science or without a solid background in statistical mechanics or fluid mechanics may struggle at times. Still, this is a relatively minor shortcoming, and the generous references more than make up for it. Overall a good book and a good introduction to the subject.

NB. The authors have a link to their codes for LGCA; however, the book does not touch on the actual implementation of the theory: readers who want to model LGCA hydro for themselves will have to implement and modify the codes without the benefit of much explanation.