The Lattice Boltzmann Method: Principles and Practice
Open accessAbstract
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.
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LBM is well-known for intuitive modeling, intrinsically parallelizable algorithms, the ability to address complex boundary conditions, and multiphysics models.
“LBM is well-known for intuitive modeling, intrinsically parallelizable algorithms, the ability to address complex boundary conditions, and multiphysics models [39,40].”
From Comprehensive Computational Model for Coupled Fluid Flow, Mass Transfer, and Light Supply in Tubular Photobioreactors Equipped with Glass Sponges (2022) · cites this paper as [40]
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OpenLB—Open source lattice Boltzmann code
Krause, M. J., Kummerländer, A., Avis, S. J., Kusumaatmaja, H., Dapelo, D., Klemens, F., Gaedtke, M., Hafen, N., Mink, A., Trunk, R., et al. (2021) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2020.04.033 · Cited by 203 · see citing works
Self-citationWeih, L. R., Gabbana, A., Simeoni, D., Rezzolla, L., Succi, S., & Tripiccione, R. (2020) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staa2575 · Cited by 34 · see citing works
Mink, A., Schediwy, K., Posten, C., Nirschl, H., Simonis, S., & Krause, M. J. (2022) · Energies · doi:10.3390/en15207671 · Cited by 30 · see citing works
Haussmann, M., Simonis, S., Nirschl, H., & Krause, M. J. (2019) · International Journal of Modern Physics C · doi:10.1142/s0129183119500748 · Cited by 30 · see citing works
Numerical evaluation of thermal comfort using a large eddy lattice Boltzmann method
Siodlaczek, M., Gaedtke, M., Simonis, S., Schweiker, M., Homma, N., & Krause, M. J. (2021) · Building and Environment · doi:10.1016/j.buildenv.2021.107618 · Cited by 30 · see citing works
Mink, A., McHardy, C., Bressel, L., Rauh, C., & Krause, M. J. (2020) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2019.106810 · Cited by 19 · see citing works
- Authors
- Krüger, T., Kusumaatmaja, H., Kuzmin, A., Shardt, O., Silva, G., & Viggen, E. M.
- Affiliations
- University of Edinburgh (GB)
- Durham University (GB)
- Princeton University (US)
- SINTEF (NO)
- Venue
- Graduate Texts in Physics
- Publisher
- Springer International Publishing
- Published
- 2017
- ISSN
- 1868-4513 (ISSN-L)
- 1868-4521
- OpenAlex
- W4239647010
- Cited by
- 1,477
- References
- 0
- Citations by year
- 2026: 144 · 2025: 197 · 2024: 203 · 2023: 230 · 2022: 194 · 2021: 174 · 2020: 170 · 2019: 97 · 2018: 55 · 2017: 13
- FWCI
- 22.64
- Type
- book
- Language
- en
- Open access
- Licence
- Locations
- Graduate texts in physics (publishedVersion)
- DIAL (Catholic University of Leuven) (submittedVersion)
- Durham Research Online (Durham University) (submittedVersion, cc-by)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Lattice Boltzmann Simulation Studies
- Physical Sciences › Computer Science › Computer Graphics and Computer-Aided Design › Computer Graphics and Visualization Techniques
- Physical Sciences › Engineering › Computational Mechanics › Computational Fluid Dynamics and Aerodynamics
- Keywords
- lattice Boltzmann method, computational fluid dynamics, complex geometries, multi-core processors, GPU computing, cluster computing, parallel computing
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