This book introduces readers to the lattice Boltzmann method (LBM) for solving transport phenomena - flow, heat and mass transfer - in a systematic way. Providing explanatory computer codes throughout the book, the author guides readers through many practical examples, such as:

. flow in isothermal and non-isothermal lid-driven cavities;

. flow over obstacles;

. forced flow through a heated channel;

. conjugate forced convection; and

. natural convection.

Diffusion and advection-diffusion equations are discussed, together with applications and examples, and complete computer codes accompany the sections on single and multi-relaxation-time methods. The codes are written in MatLab. However, the codes are written in a way that can be easily converted to other languages, such as FORTRANm Python, Julia, etc. The codes can also be extended with little effort to multi-phase and multi-physics, provided the physics of the respective problem are known.

The second edition of this book adds new chapters, and includes new theory and applications. It discusses a wealth of practical examples, and explains LBM in connection with various engineering topics, especially the transport of mass, momentum, energy and molecular species.

This book offers a useful and easy-to-follow guide for readers with some prior experience with advanced mathematics and physics, and will be of interest to all researchers and other readers who wish to learn how to apply LBM to engineering and industrial problems. It can also be used as a textbook for advanced undergraduate or graduate courses on computational transport phenomena.

Auteur

Professor Abdulmajeed Mohamad is a faculty member at the Schulich School of Engineering, University of Calgary, Canada. He graduated from Baghdad University with a B.Sc. (Hons) and M.Sc. in 1976 and 1978, respectively and subsequently worked as a lecturer at Mosul University until 1985. In 1992, he received his Ph.D. degree from Purdue University, where he was mentored by Professor Raymond Viskanta. Here, he learned the importance of freedom as a fundamental concept of curiosity, which eventually blossoms into new ideas. This lesson was, and still is, evident in his professional work.

In 1993, he became an Assistant Professor at Eastern Mediterranean University, North Cyprus. In September 1999 Professor Mohamad and his family immigrated to Canada, and in 2000 he joined the faculty of the University of Calgary and eventually became a tenured faculty member. Throughout his career, Professor Mohamad has also participated extensively in professional activities, such as organizing national and international conferences. He is the founder of the International Conference on Computational Heat, Mass and Momentum Transfer, and of the International Conference on Applications of Porous Media.

While on leave from the University of Calgary during the period 20102012, he served as the acting Dean of Engineering at Alfaisal University (AU), Kingdom of Saudi Arabia, and was instrumental in establishing the university's Engineering School.

Professor Mohamad is a Fellow of the American Society of Mechanical Engineers (ASME) and an Executive Member of the Scientific Council for the International Centre for Heat and Mass Transfer (ICHMT). His contributions on the fundamentals of heat transfer, computational methods of incompressible flow, transport and combustion in porous media are well recognized by his peers. Professor Mohamad has authored over 250 papers, mainly in peer-reviewed journals, as well as a popular textbook on the Lattice Boltzmann Method Fundamentals and Engineering Applications with Computer Codes, which was published by Springer in 2011. He was honored with the Averroes Award (ICOME17 meeting, July 2017) for his contributions to the education of many students around the world.

Résumé

Lattice Boltzmann Method introduces the lattice Boltzmann method (LBM) for solving transport phenomena flow, heat and mass transfer in a systematic way. Providing explanatory computer codes throughout the book, the author guides readers through many practical examples, such as:

flow in isothermal and non-isothermal lid driven cavities;
flow over obstacles;
forced flow through a heated channel;
conjugate forced convection; and
natural convection. Diffusion and advection-diffusion equations are discussed with applications and examples, and complete computer codes accompany the coverage of single and multi-relaxation-time methods. Although the codes are written in FORTRAN, they can be easily translated to other languages, such as C++. The codes can also be extended with little effort to multi-phase and multi-physics, if the reader knows the physics of the problem.

Readers with some experience of advanced mathematics and physics will find Lattice Boltzmann Method a useful and easy-to-follow text. It has been written for those who are interested in learning and applying the LBM to engineering and industrial problems and it can also serve as a textbook for advanced undergraduate or graduate students who are studying computational transport phenomena.

Contenu
Introduction and Kinetic of Particles.- The Boltzmann Equation.- Similarities and Scaling.- Boundary Conditions.- The Diffusion Equation.- Laplace and Poisson and Biharmonic Equations.- Advection-Diffusion Problems.- Isothermal Incompressible Fluid Flow.- Non-isothermal Incompressible Fluid Flow.- Multi-relaxation Schemes.- References.- Appendix-Computer Codes.