Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction (Paperback, 2000)

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.