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Lattice Boltzmann Modeling

An Introduction for Geoscientists and Engineers

  • Book
  • Sep 2005

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Table of contents (10 chapters)

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About this book

Lattice Boltzmann models have a remarkable ability to simulate single- and multi-phase fluids and transport processes within them. A rich variety of behaviors, including higher Reynolds numbers flows, phase separation, evaporation, condensation, cavitation, buoyancy, and interactions with surfaces can readily be simulated. This book provides a basic introduction that emphasizes intuition and simplistic conceptualization of processes. It avoids the more difficult mathematics that underlies LB models. The model is viewed from a particle perspective where collisions, streaming, and particle-particle/particle-surface interactions constitute the entire conceptual framework. Beginners and those with more interest in model application than detailed mathematical foundations will find this a powerful "quick start" guide. Example simulations, exercises, and computer codes are included. Working code is provided on the Internet.  

 

Reviews

"a pleasant and self-contained introduction to lattice Boltzmann methods"

"written for the user in engineering and geoscience, and mathematical theory is kept to a necessary minimum."

"Rather than engage in lengthy introductions, derivations,validations,and existence and uniqueness theory,the authors take a completely practical point of view and simply make sure that the model is consistent with fundamental physical principles"

"Sukop and Thorne keep matters simple, but they succeed in demonstrating the amazing versatility and wide applicability of LBMs."

"this little book gives easy access to a simple yet powerful toolbox for complex flow phenomena."

REINHARD ILLNER, University of Victoria, In the SIAM REVIEW
c_ 2007 Society for Industrial and Applied Mathematics
Vol. 49,No . 1, pp . 123–176

Authors and Affiliations

  • Department of Earth Sciences, Florida International University, University Park, Miami, USA

    Michael C. Sukop

  • Department of Mathematics, Physics, and Computer Science, Georgetown College, Georgetown, USA

    Daniel T. Thorne

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