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.
| ISBN: | 9783540669739 |
| Publication date: | 18th February 2000 |
| Author: | Dieter A WolfGladrow |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 308 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Calculus and mathematical analysis Numerical analysis Mathematical logic Mathematical foundations Classical mechanics Maths for engineers |