The Lattice Boltzmann Method Principles and Practice /

• Main Authors: Krüger, Timm (Author), Kusumaatmaja, Halim (Author), Kuzmin, Alexandr (Author), Shardt, Orest (Author), Silva, Goncalo (Author), Viggen, Erlend Magnus (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Graduate Texts in Physics,
• Subjects: Physics.; System theory.; Computer mathematics.; Fluids.; Fluid mechanics.; Numerical and Computational Physics, Simulation.; Fluid- and Aerodynamics.; Complex Systems.; Engineering Fluid Dynamics.; Computational Mathematics and Numerical Analysis.; Statistical Physics and Dynamical Systems.

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 cont...

Table of Contents:

• 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.