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The Lattice Boltzmann Method: Principles and Practice

✍ Scribed by Timm Krüger, Halim Kusumaatmaja, Alexandr Kuzmin, Orest Shardt, Goncalo Silva, Erlend Magnus Viggen


Publisher
Springer
Year
2017
Tongue
English
Leaves
705
Series
Graduate Texts in Physics
Edition
1st ed.
Category
Library

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✦ Synopsis


This book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries. The book contains chapters on the method's background, fundamental theory, advanced extensions, and implementation.

To aid beginners, the most essential paragraphs in each chapter are highlighted, and the introductory chapters on various LB topics are front-loaded with special "in a nutshell" sections that condense the chapter's most important practical results. Together, these sections can be used to quickly get up and running with the method. Exercises are integrated throughout the text, and frequently asked questions about the method are dealt with in a special section at the beginning. In the book itself and through its web page, readers can find example codes showing how the LB method can be implemented efficiently on a variety of hardware platforms, including multi-core processors, clusters, and graphics processing units. Students and scientists learning and using the LB method will appreciate the wealth of clearly presented and structured information in this volume.

✦ Table of Contents


Front Matter....Pages i-xxiv
Front Matter....Pages 1-1
Basics of Hydrodynamics and Kinetic Theory....Pages 3-29
Numerical Methods for Fluids....Pages 31-58
Front Matter....Pages 59-59
The Lattice Boltzmann Equation....Pages 61-104
Analysis of the Lattice Boltzmann Equation....Pages 105-152
Boundary and Initial Conditions....Pages 153-230
Forces....Pages 231-263
Non-dimensionalisation and Choice of Simulation Parameters....Pages 265-294
Front Matter....Pages 295-295
Lattice Boltzmann for Advection-Diffusion Problems....Pages 297-329
Multiphase and Multicomponent Flows....Pages 331-405
MRT and TRT Collision Operators....Pages 407-431
Boundary Conditions for Fluid-Structure Interaction....Pages 433-491
Sound Waves....Pages 493-529
Front Matter....Pages 531-531
Implementation of LB Simulations....Pages 533-652
Back Matter....Pages 653-694

✦ Subjects


Lattice Boltzmann methods


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