The Lattice Boltzmann Equation: For Complex States of Flowing Matter

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"Sauro Succi (Director of Research, Director of Research, Istituto Applicazioni del Calcolo ""Mauro Picone"", Rome, National Research Council of Italy)"

The Lattice Boltzmann Equation

For Complex States of Flowing Matter

"Sauro Succi (Director of Research, Director of Research, Istituto Applicazioni del Calcolo ""Mauro Picone"", Rome, National Research Council of Italy)"

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English

Oxford University Press
08 February 2018

Flowing matter is all around us, from daily-life vital processes (breathing, blood circulation), to industrial, environmental, biological, and medical sciences. Complex states of flowing matter are equally present in fundamental physical processes, far remote from our direct senses, such as quantum-relativistic matter under ultra-high temperature conditions (quark-gluon plasmas). Capturing the complexities of such states of matter stands as one of the most prominent challenges of modern science, with multiple ramifications to physics, biology, mathematics, and computer science. As a result, mathematical and computational techniques capable of providing a quantitative account of the way that such complex states of flowing matter behave in space and time are becoming increasingly important. This book provides a unique description of a major technique, the Lattice Boltzmann method to accomplish this task.

The Lattice Boltzmann method has gained a prominent role as an efficient computational tool for the numerical simulation of

a wide variety of complex states of flowing matter across a

broad range of scales; from fully-developed turbulence, to multiphase micro-flows, all the way down

to nano-biofluidics and lately, even quantum-relativistic sub-nuclear fluids. After providing a self-contained introduction to the kinetic theory of fluids and a thorough account of its transcription to the lattice framework, this text provides a survey of the major developments which have led to the impressive growth of the Lattice Boltzmann across most walks of fluid dynamics and its interfaces with allied disciplines.

Included are recent developments of Lattice Boltzmann methods for non-ideal fluids, micro- and nanofluidic flows with suspended bodies of assorted nature and extensions to strong non-equilibrium flows beyond the realm of continuum fluid mechanics. In the final part, it presents the extension of the Lattice Boltzmann method to quantum and relativistic matter, in an attempt to match the major surge of interest spurred by recent developments in the area of strongly interacting holographic fluids, such as electron flows in graphene.

By: "Sauro Succi (Director of Research Director of Research Istituto Applicazioni del Calcolo ""Mauro Picone"" Rome National Research Council of Italy)"
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 247mm, Width: 177mm, Spine: 43mm
Weight: 1.660kg
ISBN: 9780199592357
ISBN 10: 0199592357
Pages: 788
Publication Date: 08 February 2018
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Part I: Kinetic Theory of Fluids 1: Why a kinetic theory of fluids? 2: Kinetic theory and the Boltzmann equation 3: Approach to equilibrium, the H-theorem and irreversibility 4: Transport phenomena 5: From kinetic theory to Navier-Stokes hydrodynamics 6: Generalized hydrodynamics beyond Navier-Stokes 7: Kinetic theory of dense fluids 8: Model Boltzmann equations 9: Stochastic kinetic theory 10: Numerical methods for the kinetic theory of fluids Part II: Lattice Kinetic Theory 11: Lattice Gas Cellular Automata 12: Lattice Boltzmann models with underlying Boolean microdynamics 13: Lattice Boltzmann models without underlying Boolean mircodynamics 14: Lattice Relaxation Schemes 15: The Hermite-Gauss route to LBE 16: LBE in the framework of computational fluid dynamics Part III: Fluid Dynamics Applications 17: Boundary conditions 18: Flows at moderate Reynolds number 19: LBE flows in disordered media 20: Lattice Boltzmann for Turbulent Flows Part IV: Lattice Kinetic Theory: Advanced Topics 21: Entropic Lattice Boltzmann 22: Thermohydrodynamics LBE schemes 23: Out of Legoland: geoflexible Lattice Boltzmann equations 24: Lattice Boltzmann for Turbulence Modeling Part V: Beyond Fluid Dynamics: Complex States of Flowing Matter 25: LBE for generalized hydrodynamics 26: Reactive flows 27: Lattice Boltzmann for non-ideal fluids 28: Extensions of the psuedo-potential methods 29: Lattice Boltzmann models for microflows 30: The fluctuating Lattice Boltzmann 31: Lattice Boltzmann for flows with suspended objects: fluid-solid interactions Part VI: Beyond Newtonian Mechanics: Quantum and Relativistic Fluids 32: LBE for quantum mechanics 33: QLB for quantum many-body and quantum field theory 34: Relativistic Lattice Boltzmann 35: Relativistiv Lattice Boltzmann II: kinetic derivation 36: Coda 37: Notation Appendices

Dr Sauro Succi holds a degree in Nuclear Engineering from the University of Bologna and a PhD in Plasma Physics from the EPFL, Lausanne. Since 1995 he serves as a Director of Research at the Istituto Applicazioni Calcolo of the Italian National Research Council in Rome and also as Research Associate of the Physics Department of Harvard University and a Visiting Professor at the Institute of Applied Computational Science at the School of Engineering and Applied Sciences of Harvard University. He has published extensively on a broad range of topics in computational kinetic theory and non-equilibrium statistical physics, including thermonuclear plasmas, fluid turbulence, micro and nanofluidics, as well as quantum-relativistic flows.

Reviews for The Lattice Boltzmann Equation: For Complex States of Flowing Matter

It is important to register that this book in underpinned by strong pedagogical principles. This is not an arcane monograph but rather a text to get to grips with this extremely disparate topicone is confident that this book will serve very well the community of researchers who ply their trade using the Lattice Boltzmann equation. - K. Alan Shore, Contemporary Physics Journal