Lattice Gas Cellular Automata and Lattice Boltzmann Models: An Introduction

Dieter A. Wolf-Gladrow (auth.)3540669736, 9783540669739

Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.

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Table of contents :
1. Introduction….Pages 1-13
2. Cellular Automata….Pages 15-37
3. Lattice-gas cellular automata….Pages 39-138
4. Some statistical mechanics….Pages 139-158
5. Lattice Boltzmann Models….Pages 159-246
6. Appendix….Pages 247-270
Subject Index….Pages 271-274
References….Pages 275-308