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.

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...

Table of Contents:

• From the contents: Introduction: Preface; Overview
• The basic idea of lattice-gas cellular automata and lattice Boltzmann models. Cellular Automata: What are cellular automata?- A short history of cellular automata
• One-dimensional cellular automata
• Two-dimensional cellular automata
• Lattice-gas cellular automata: The HPP lattice-gas cellular automata
• The FHP lattice-gas cellular automata
• Lattice tensors and isotropy in the macroscopic limit
• Desperately seeking a lattice for simulations in three dimensions
• 5 FCHC
• The pair interaction (PI) lattice-gas cellular automata
• Multi-speed and thermal lattice-gas cellular automata
• Zanetti (staggered) invariants
• Lattice-gas cellular automata: What else? Some statistical mechanics: The Boltzmann equation
• Chapman-Enskog: From Boltzmann to Navier-Stokes
• The maximum entropy principle. Lattice Boltzmann Models: .... Appendix.