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

by Daniel H. Rothman (Author), Stiphane Zaleski (Author) "Although the microscopic makeup of fluids ranges from the simplest monatomic gas to, say, a complex mixture such as milk, nearly all fluids flow in..." (more)
Key Phrases: immiscible lattice gases, passive tracer dispersion, microdynamical equations, New York, Fluid Mech, Complex Systems (more...)

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

Product Description
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.

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Product Details

• Paperback: 320 pages
• Publisher: Cambridge University Press (August 21, 2008)
• Language: English
• ISBN-10: 0521607604
• ISBN-13: 978-0521607605
• Product Dimensions: 9.6 x 7.5 x 0.8 inches
• Shipping Weight: 1.3 pounds (View shipping rates and policies)
• Average Customer Review: 4.0 out of 5 stars See all reviews (1 customer review)
• Amazon.com Sales Rank: #1,702,718 in Books (See Bestsellers in Books)

Customer Reviews

Most Helpful Customer Reviews

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.