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  • © 2000

Lattice-Gas Cellular Automata and Lattice Boltzmann Models

An Introduction

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1725)

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Table of contents (8 chapters)

  1. Front Matter

    Pages N2-IX
  2. 1. Introduction

    • Dieter A. Wolf-Gladrow
    Pages 1-13
  3. 2. Cellular Automata

    • Dieter A. Wolf-Gladrow
    Pages 15-37
  4. 3. Lattice-gas cellular automata

    • Dieter A. Wolf-Gladrow
    Pages 39-138
  5. 4. Some statistical mechanics

    • Dieter A. Wolf-Gladrow
    Pages 139-158
  6. 5. Lattice Boltzmann Models

    • Dieter A. Wolf-Gladrow
    Pages 159-246
  7. 6. Appendix

    • Dieter A. Wolf-Gladrow
    Pages 247-270
  8. Subject Index

    • Dieter A. Wolf-Gladrow
    Pages 271-274
  9. References

    • Dieter A. Wolf-Gladrow
    Pages 275-308
  10. Back Matter

    Pages 309-311

About this book

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

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions