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Overview
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.Synopsis
In this monograph, Succi (physics, U. of Rome) explains the lattice Boltzmann equation (LBE) version of the Boltzmann equation designed to solve fluid-dynamics problems and amenable to parallel computing. The first section addresses the theoretical facets of kinetic theory, lattice gas cellular automata, and LBE models with and without underlying Boolean microdynamics. Part II moves on to advanced theory and fluid dynamics applications. Part III discusses LBE schemes for complex fluids, quantum physics, and thermohydrodynamics. The final chapter answers the question of who needs LBE. Includes exercises, appended material, and 259 references.
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