The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond

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Clarendon Press, Jun 28, 2001 - Mathematics - 288 pages
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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 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.
 

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Contents

Kinetic theory
3
Lattice Gas Cellular Automata
17
Lattice Boltzmann models with underlying Boolean
40
Lattice Boltzmann models without underlying Boolean
51
Lattice BhatnagarGrossKrook
65
FLUID DYNAMICS APPLICATIONS AND ADVANCED
75
Flows at moderate Reynolds number
97
LBE flows in disordered media
110
LBE in the framework of computational fluid
155
BEYOND FLUID DYNAMICS
177
LBE for quantum mechanics
214
equation
216
Thermohydrodynamic LBE schemes
233
Who needs LBE?
254
References
263
Index
281

Turbulent flows
124
geoflexible lattice Boltzmann
142

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About the author (2001)

Sauro Succi is at Institute for Computing Applications, Rome.

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