Pattern Formation and Lattice Gas Automata

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1995 Hard cover Unabridged. New. No dust jacket as issued. 346 p. Fields Institute Communications, 6. BRAND NEW! !

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Overview

This book is the Proceedings of The Fields Institute Conference/NATO Advanced Research Workshop held in June 1993. The articles review the diverse recent progress in the theory and development of lattice-gas and lattice Boltzmann methods and their applications to hydrodynamics, multi-phase flows, flows through porous media, reaction-diffusion systems, pattern formation phenomena, and phase separation processes. Discussed here are various aspects of the statistical analysis of these methods, with emphasis on fluctuations and correlations, as well as computational prospects including development of dedicated hardware. Features: up-to-date articles covering theory and applications interdisciplinary approach, which includes mathematics, physics, chemistry, and geophysics abstracts of papers published from 1992 through 1995

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Editorial Reviews

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Contains papers from the June 1993 Fields Institute Conference/NATO Advanced Research Workshop, plus abstracts of papers published from 1992 through 1995, reviewing recent progress in the theory and development of lattice-gas and lattice Boltzmann methods and their applications to hydrodynamics; multi-phase flows; flows through porous media; reaction-diffusion systems; pattern formation phenomena; and phase separation processes. Focuses include statistical analysis of methods and computational aspects. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Preface
Liquid-Gas Models on 2D and 3D Lattices 1
Renormalization of Lattice Gas Transport Coefficients 13
The Discrete Boltzmann Equation for Gases with Bimolecular or Dissociation-Recombination Reactions 29
Diffusion and Propagation in Lorentz Lattice Gases 43
Lattice Gas Simulations of Replicating Domains 55
Spinodal Decomposition and Interface Dynamics for Glauber Evolution with Kac Potential 65
Fluctuations and Chemical Waves in a Bistable Reacting System 79
Lattice Boltzmann-Langevin Equations 99
Instabilities and Patterns 109
Vortex Street and Levy Walks 123
Lattice Gases Without Semi-Detailed Balance 129
A Lattice Boltzmann Subgrid Model for High Reynolds Number Flows 151
CAM-8: A Computer Architecture Based on Cellular Automata 167
Critical Fluctuations in a Spin System 189
A Benchmark for Lattice BGK Model: Flow over a Backward-Facing Step 207
Lattice Gas Self Diffusion in Random Porous Media 217
Levy Laws for Lattice Gas Automata 227
New Class of Cellular Automata for Reaction-Diffusion Systems Applied to the CIMA Reaction 239
Lattice-Gas Cellular Automaton Model for One-Mode Lasers 249
A Lattice-Gas with Long-Range Interactions Coupled to a Heat Bath 261
Abstracts of Lattice Gas/Lattice Boltzmann Papers, 1992-1995 275
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