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.

Auteur

Timm Krüger is a Chancellor's Fellow at the School of Engineering, University of Edinburgh, UK. He obtained his PhD in Physics from Bochum University in 2011. His research interests include suspensions, interfacial phenomena, microfluidics and biophysical applications of blood flow.

Halim Kusumaatmaja is a Lecturer (Assistant Professor) at the Department of Physics, Durham University, UK. He obtained his PhD in Theoretical Condensed Matter Physics from the University of Oxford. He has a broad range of interests in Soft Matter and Biophysics, including wetting phenomena, membrane biophysics, liquid crystals and colloidal systems.

Alexandr Kuzmin is a Thermal/CFD Software Engineer at Maya Heat Transfer Technologies. He holds a PhD in CFD from the University of Calgary (Mechanical Engineering Department). He has a broad experience in computational geometry, heat and mass transfer, and numerical methods applied to industrial and research problems.

Orest Shardt is a postdoctoral research fellow in Mechanical and Aerospace Engineering at Princeton University. He graduated from the University of Alberta in 2014 with a PhD in chemical engineering. His main research interests are high performance computing and interfacial and electrokinetic phenomena in multiphase flows.

Goncalo Silva is a postdoctoral researcher in Mechanical Engineering at IDMEC/IST, University of Lisbon, from where he graduated in 2013 with a PhD in Mechanical Engineering. Between 2013 and 2016, he developed his postdoctoral research at IRSTEA, Antony, France. His main research interests are in the field of microfluidics and flows in porous media.

Erlend Magnus Viggen is a research scientist at SINTEF. He has a Master's in Applied Physics (2009) and a PhD in Acoustics (2014), both from the Norwegian University of Science and Technology. His main research interests are physical and computational acoustics.

Contenu

Part I Background: Basics of hydrodynamics and kinetic theory.- Numerical methods for fluids.- Part II Lattice Boltzmann fundamentals: The lattice Boltzmann equation.- Analysis of the lattice Boltzmann equation.- Boundary and initial conditions.- Forces.- Non-dimensionalisation and choice of simulation parameters.- Part III Lattice Boltzmann extensions, improvements, and details: Lattice-Boltzmann for advection-diffusion-problems.- Multiphase and multi-component flows.- MRT and TRT collision operators.- Boundary conditions for fluid-structure interaction.- Sound waves.- Part IV Numerical implementation of the lattice Boltzmann method: Implementation of LB Simulations.- Appendices.