Lattice Gas Cellular Automata and Lattice Boltzmann Models

An Introduction

  • Authors
  • Dieter A. Wolf-Gladrow
Part of the Lecture Notes in Mathematics book series (LNM, volume 1725)

Table of contents

  1. Front Matter
    Pages N2-IX
  2. Dieter A. Wolf-Gladrow
    Pages 1-13
  3. Dieter A. Wolf-Gladrow
    Pages 15-37
  4. Dieter A. Wolf-Gladrow
    Pages 39-138
  5. Dieter A. Wolf-Gladrow
    Pages 139-158
  6. Dieter A. Wolf-Gladrow
    Pages 159-246
  7. Dieter A. Wolf-Gladrow
    Pages 247-270
  8. Dieter A. Wolf-Gladrow
    Pages 271-274
  9. Dieter A. Wolf-Gladrow
    Pages 275-308
  10. Back Matter
    Pages 309-311

About this book

Introduction

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.

Keywords

Boltzman equations Point-Mapping properties Rarefield gas flows Stokes and Naier-Stokes equations cellular automata gas flows model numerical analysis operator simulation

Bibliographic information

  • DOI https://doi.org/10.1007/b72010
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-66973-9
  • Online ISBN 978-3-540-46586-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692