Lattice Gas Cellular Automata And Lattice Boltzmann Models
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Lattice-Gas Cellular Automata and Lattice Boltzmann Models
Author: Dieter A. Wolf-Gladrow
language: en
Publisher: Springer Science & Business Media
Release Date: 2000-02-18
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.
Lattice-Gas Cellular Automata
Author: Daniel H. Rothman
language: en
Publisher: Cambridge University Press
Release Date: 1997-08-28
A self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases.
Lattice Boltzmann Modeling
Author: Michael C. Sukop
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-04-05
Here is a basic introduction to Lattice Boltzmann models that emphasizes intuition and simplistic conceptualization of processes, while avoiding the complex mathematics that underlies LB models. The model is viewed from a particle perspective where collisions, streaming, and particle-particle/particle-surface interactions constitute the entire conceptual framework. Beginners and those whose interest is in model application over detailed mathematics will find this a powerful 'quick start' guide. Example simulations, exercises, and computer codes are included.