Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction / Edition 1

Paperback (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $51.55
Usually ships in 1-2 business days
(Save 35%)
Other sellers (Paperback)
  • All (13) from $51.55   
  • New (9) from $52.70   
  • Used (4) from $51.55   


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.

Read More Show Less

Product Details

  • ISBN-13: 9783540669739
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 3/15/2000
  • Series: Lecture Notes in Mathematics Series, #1725
  • Edition description: 2000
  • Edition number: 1
  • Pages: 314
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.68 (d)

Table of Contents

. Introduction 1.1 Preface 1.2 Overview 1.3 The basic idea of lattice-gas cellular automata and lattice Boltzmann models 2. Cellular Automata 2.1 What are cellular automata? 2.2 A short history of cellular automata 2.3 One-dimensional cellular automata 2.4 Two-dimensional cellular automata 3.Lattice-gas cellular automata 3.1 The HPP lattice-gas cellular automata 3.2 The FHP lattice-gas cellular automata 3.3 Lattice tensors and isotropy in the macroscopic limit 3.4 Desperately seeking a lattice for simulations in three dimensions 3.5 FCHC 3.6 The pair interaction (PI) lattice-gas cellular automata 3.7 Multi-speed and thermal lattice-gas cellular automata 3.8 Zanetti ("staggered") invariants 3.9 Lattice-gas cellular automata: What else? 4. Some statistical mechanics 4.1 The Boltzmann equation 4.2 Chapman-Enskog: From Boltzmann to Navier-Stokes 4.3 The maximum entropy principle 5. Lattice Boltzmann Models 5.1 From lattice-gas cellular automata to lattice Boltzmann models 5.2 BGK lattice Boltzmann model in 2D 5.3 Hydrodynamic lattice Boltzmann models in 3D 5.4 Equilibrium distributions: the ansatz method 5.5 Hydrodynamic LBM with energy equation 5.6 Stability of lattice Boltzmann models 5.7 Simulating ocean circulation with LBM 5.8 A lattice Boltzmann equation for diffusion 5.9 Lattice Boltzmann model: What else? 5.10 Summary and outlook 6. Appendix 6.1 Boolean algebra 6.2 FHP: After some algebra one finds ... 6.3 Coding of the collision operator of FHP-II and FHP-III in C 6.4 Thermal LBM: derivation of the coefficients 6.5 Schläfli symbols 6.6 Notation, symbols and abbreviations

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)