Publisher Description

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 prominentchallenges of modern science, with multiple ramifications to physics, biology, mathematics, and computer science. As a result, mathematical and computational techniques capable of providing aquantitative 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; fromfully-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 kinetictheory 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 strongnon-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 majorsurge of interest spurred by recent developments in the area of strongly interacting holographic fluids, such as electron flows in graphene.

Author Biography

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 AppliedSciences 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, fluidturbulence, micro and nanofluidics, as well as quantum-relativistic flows.

Table of Contents

Part I: Kinetic Theory of Fluids1: Why a kinetic theory of fluids?2: Kinetic theory and the Boltzmann equation3: Approach to equilibrium, the H-theorem and irreversibility4: Transport phenomena5: From kinetic theory to Navier-Stokes hydrodynamics6: Generalized hydrodynamics beyond Navier-Stokes7: Kinetic theory of dense fluids8: Model Boltzmann equations9: Stochastic kinetic theory10: Numerical methods for the kinetic theory of fluidsPart II: Lattice Kinetic Theory11: Lattice Gas Cellular Automata12: Lattice Boltzmann models with underlying Boolean microdynamics13: Lattice Boltzmann models without underlying Boolean mircodynamics14: Lattice Relaxation Schemes15: The Hermite-Gauss route to LBE16: LBE in the framework of computational fluid dynamicsPart III: Fluid Dynamics Applications17: Boundary conditions18: Flows at moderate Reynolds number19: LBE flows in disordered media20: Lattice Boltzmann for Turbulent FlowsPart IV: Lattice Kinetic Theory: Advanced Topics21: Entropic Lattice Boltzmann22: Thermohydrodynamics LBE schemes23: Out of Legoland: geoflexible Lattice Boltzmann equations24: Lattice Boltzmann for Turbulence ModelingPart V: Beyond Fluid Dynamics: Complex States of Flowing Matter25: LBE for generalized hydrodynamics26: Reactive flows27: Lattice Boltzmann for non-ideal fluids28: Extensions of the psuedo-potential methods29: Lattice Boltzmann models for microflows30: The fluctuating Lattice Boltzmann31: Lattice Boltzmann for flows with suspended objects: fluid-solid interactionsPart VI: Beyond Newtonian Mechanics: Quantum and Relativistic Fluids32: LBE for quantum mechanics33: QLB for quantum many-body and quantum field theory34: Relativistic Lattice Boltzmann35: Relativistiv Lattice Boltzmann II: kinetic derivation36: Coda37: NotationAppendices

Review

this book may provide a source information and possibly inspiration to a broad audience of scientists dealing with the physics of classical and quantum flowing matter across many scales of motion * zb Math Open *
"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

Long Description

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 prominentchallenges 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 arebecoming 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 thelattice 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.

Review Quote

"this book may provide a source information and possibly inspiration to a broad audience of scientists dealing with the physics of classical and quantum flowing matter across many scales of motion" -- zb Math Open "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 topic'one 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

Feature

Unique coverage of the broad ground spanned by the lattice Boltzmann methodNew connections between fluids, condensed matter, and high energy physicsMultiple ramifications to physics, biology, mathematics, and computer science explored

Details