In recent years, certain 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 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 where fluid motion plays a distinguished role.
Author(s): Sauro Succi
Publisher: Oxford University Press, USA
Year: 2001
Language: English
Pages: 304
Preface
......Page 4
Contents
......Page 8
Part 1 Theory......Page 15
1 Kinetic Theory
......Page 16
2 Lattice Gas Cellular Automata......Page 30
3 Lattice Boltzmann Models with Underlying Boolean Microdynamics......Page 53
4 Lattice Boltzmann Models without Underlying Boolean Microdynamics
......Page 64
5 Lattice Bhatnagar-Gross-Krook......Page 78
Part 2 Fluid dynamics applications and advanced theory......Page 87
6 Boundary Conditions......Page 88
7 Flows at Moderate Reynolds Number......Page 108
8 LBE Flows in Disordered Media......Page 121
9 Turbulent Flows......Page 135
10 Out of Legoland:Geoflexible Lattice Boltzmann Equations......Page 153
11 LBE in the Framework of Computational Fluid Dynamics......Page 166
Part 3 Beyond fluid dynamics......Page 188
12 LBE Schemes for Complex Fluids......Page 189
13 LBE for Quantum Mechanics......Page 224
14 Thermohydrodynamic LBE Schemes......Page 243
15 Finale:WHO NEEDS LBE?......Page 264
16 APPENDICS......Page 267
REFERENCES
......Page 273
INDEX
......Page 290
