The Lattice Boltzmann Equation

In recent years, stylized forms of the Boltzmann equation, now going by the name of "Lattice Boltzmann equation" (LBE), have emerged, which relinquish most mathematical complexities of the true Boltzmann equation without sacrificing physical fidelity in the description of many situations involving complex fluid motion. This book provides the first detailed survey of LBE theory and its major applications to date. Accessible to a broad audience of scientists dealing with complex system dynamics, the book also portrays future developments in allied areas of science (material science, biology etc.) where fluid motion plays a distinguished role.1. Kinetic Theory ; 2. Lattice Gas Cellular Automata ; 3. Lattice Boltzmann models with underlying Boolean microdynamics ; 4. Lattice Boltzmann models without underlying Boolean microdynamics ; 5. Lattic Bhatnagar-Gross-Krook ; 6. Boundary conditions ; 7. Flows at moderate Reynolds number ; 8. LBE flows in disordered media ; 9. Turbulent flows ; 10. Out of Legoland: geoflexible lattice Boltzmann equations ; 11. LBE in the framework of computational field dynamics ; 12. LBE schemes for complex fluids ; 13. LBE for quantum mechanics ; 14. Thermohydrodynamic LBE schemes ; 15. Finale: Who needs LBE? ; 16. Appendices ; References ; Index