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Note publique d'information : 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.