Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction (Lecture Notes in Mathematics) [Paperback]

Dieter A. Wolf-Gladrow (Author)

Book Description

Publication Date: March 15, 2000 | ISBN-10: 3540669736 | ISBN-13: 978-3540669739 | Edition: 1

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.

Product Details

• Paperback: 317 pages
• Publisher: Springer; 1 edition (March 15, 2000)
• Language: English
• ISBN-10: 3540669736
• ISBN-13: 978-3540669739
• Product Dimensions: 9.3 x 6.1 x 0.6 inches
• Shipping Weight: 1.1 pounds (View shipping rates and policies)
• Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
• Amazon Best Sellers Rank: #2,055,572 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

6 of 7 people found the following review helpful:

5.0 out of 5 stars Computational Models of Physical Processes, July 21, 2000

By 

Eric Steinhart (New York, NY USA) - See all my reviews

This review is from: Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction (Lecture Notes in Mathematics) (Paperback)

This is an outstanding book for anyone concerned with computational models of real physical processes (digital mechanics or digital physics). It is accessible to anyone with a bachelor's degree in computer science, mathematics, engineering, or physics. It is also accessible to others with a few years of math courses. Lattice gasses and lattice boltzmann machines are the natural extensions of cellular automata such as the game of life.

1 of 1 people found the following review helpful:

4.0 out of 5 stars often inspiring, but not self-contained, May 6, 2008

By 

Stijn Verlaak (Belgium) - See all my reviews
(REAL NAME)   

This review is from: Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction (Lecture Notes in Mathematics) (Paperback)

This book is extremely well structured -as apparent from its table of contents. It describes and motivates the evolution from cellular automata to lattice-gas cellular automata to lattice Boltzmann schemes. It tells its story in a very brief yet lucid way. The text points to valuable references for further reading or for further explanation.

The main drawback is that -after all- it sometimes really are 'just' lecture notes in mathematics (being an aid mainly for those who follow the lectures). *Some* of the important derivations are very short and formal, with implicit mathematical shortcuts, and without giving any physical interpretation of the main formula's. In addition, once too often the reader is referred to the scientific literature -which is not always easily accessible. In other words: the book is not self-contained.

Nevertheless, I truly enjoyed reading the book from back to back, even though I had to work hard to get through some sections.