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The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Numerical Mathematics and Scientific Computation)
 
 
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The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Numerical Mathematics and Scientific Computation) [Hardcover]

Sauro Succi (Author)
4.5 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

August 30, 2001 0198503989 978-0198503989
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.

Frequently Bought Together

The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Numerical Mathematics and Scientific Computation) + Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers + Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction (Lecture Notes in Mathematics)
Price For All Three: $290.38

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Editorial Reviews

Review


"[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


About the Author

Sauro Succi is at Institute for Computing Applications, Rome.

Product Details

  • Hardcover: 304 pages
  • Publisher: Oxford University Press, USA (August 30, 2001)
  • Language: English
  • ISBN-10: 0198503989
  • ISBN-13: 978-0198503989
  • Product Dimensions: 9.3 x 6.1 x 0.8 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #388,030 in Books (See Top 100 in Books)

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6 of 8 people found the following review helpful:
4.0 out of 5 stars A wide and good review but only for specialists, November 23, 2003
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This review is from: The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Numerical Mathematics and Scientific Computation) (Hardcover)
The LBM methods are widely reviewed in all their relevant aspects.
The only lacking of this book is the poor description of the mathematical/physical background needed by non-specialists for a complete undertanding of the book's topics (e.g. the link between statistical mechanics and fluid dynamics).
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5.0 out of 5 stars A very elegant description to lattice Boltzmann, August 6, 2008
By 
This review is from: The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Numerical Mathematics and Scientific Computation) (Hardcover)
This is essentially the first book fully dedicated to the lattice Boltzmann method (LB). The author did a great job in providing the necessary history of lattice Boltzmann, from Lattice Gas Cellular Automaton, its subsequent development, and deployments to multiphase, supersonic, microfluidics, etc flows.

The unexperienced reader will find the first chapters very useful, as they lay the grounds for the rest of the book. The "derivation" of LB is especially relevant and full of insight. Very novice readers will certainly have to read the first chapters a few times to really grasp what LB is about (just because the concepts are seemingly simple but not straight forward in reality). The author, to this aim, provides all the tools necessary for a basic understanding of the underlying process (mostly the fields of statistical physics and cellular automaton).

The experienced reader will find this book to be a good reference to LB. The latest reference to date (Aug 20008) is the book by Sukop and Thorne (Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers) that provides more recent developments in the LB field.
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Inside This Book (learn more)
First Sentence:
Let us consider a collection of N molecules moving in a box of volume V at temperature T and mutually interacting via a two-body intermolecular potential (r), r being the interparticle separation. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
continuum kinetic theory, discrete speeds, outgoing populations, streaming operator, discrete equilibria, spurious invariants, discrete kinetic theory, lattice discreteness, lattice pitch, digital physics, nonlinear deviations, collision operator, lattice gas cellular automata, enhanced collisions, momentum flux tensor, local equilibria, momentum input, kinetic space, ghost fields, incompressible turbulence, fluid sites, pseudospectral methods, lattice gas automata, thermodynamic consistency, lattice units
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Ludwig Boltzmann
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