The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond

Hardcover | May 15, 2001

bySauro Succi

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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 situationsinvolving 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.

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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 situationsinvolving complex fluid motion. This book provide...

Sauro Succi is at Institute for Computing Applications, Rome.
Format:HardcoverPublished:May 15, 2001Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198503989

ISBN - 13:9780198503989

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Table of Contents

1. Kinetic Theory2. Lattice Gas Cellular Automata3. Lattice Boltzmann models with underlying Boolean microdynamics4. Lattice Boltzmann models without underlying Boolean microdynamics5. Lattic Bhatnagar-Gross-Krook6. Boundary conditions7. Flows at moderate Reynolds number8. LBE flows in disordered media9. Turbulent flows10. Out of Legoland: geoflexible lattice Boltzmann equations11. LBE in the framework of computational field dynamics12. LBE schemes for complex fluids13. LBE for quantum mechanics14. Thermohydrodynamic LBE schemes15. Finale: Who needs LBE?16. AppendicesReferencesIndex

Editorial Reviews

"[A]ddressed to a broad audience of scientists interested in the fluid dynamics of complex systems. The book also looks for future developments in related areas ... where the fluid motion plays an important role."--Zentralblatt MATH "The entire book is remarkable because of the pleasant and clear writing style, by which the author also conveys his excitement for the subject. Throughout, the reader is guided through the material by explicit explanations of purpose and goal of the presentation. ... The book contains 15 chapters that are organized into three well-balanced and distinct parts ... [a] well thought-out text ..."--Mathematical Reviews "[P]rovides a flavor of the possible and the exciting. This is a book for the enthusiast that reminds the expert how much fun he can have investigating the physics and applications of this rich field."--Physics Today