Lattice-Gas Cellular Automata and Lattice Boltzmann Models An Introduction /

• Main Author: Wolf-Gladrow, Dieter A. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Edition: 1st ed. 2000.
• Series: Lecture Notes in Mathematics, 1725
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Mathematical logic.; Global analysis (Mathematics).; Manifolds (Mathematics).; Numerical analysis.; Applied mathematics.; Engineering mathematics.; Mechanics.; Analysis.; Mathematical Logic and Foundations.; Global Analysis and Analysis on Manifolds.; Numerical Analysis.; Mathematical and Computational Engineering.; Classical Mechanics.
• Physical Description: X, 314 p. online resource.
• ISBN: 9783540465867
• ISSN: 0075-8434 ;
• DOI: 10.1007/b72010

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.