An Introduction to the Lattice Boltzmann Method
A Numerical Method for Complex Boundary and Moving Boundary FlowsThe book introduces the fundamentals and applications of the lattice Boltzmann method (LBM) for incompressible viscous flows. It is written clearly and easy to understand for graduate students and researchers.The book is organized as follows. In Chapter 1, the SRT- and MRT-LBM schemes are derived from the discrete Boltzmann equation for lattice gases and the relation between the LBM and the Navier-Stokes equation is explained by using the asymptotic expansion (not the Chapman-Enskog expansion). Chapter 2 presents the lattice kinetic scheme (LKS) which is an extension method of the LBM and can save memory because of needlessness for storing the velocity distribution functions. In addition, an improved LKS which can stably simulate high Reynolds number flows is presented. In Chapter 3, the LBM combined with the immersed boundary method (IB-LBM) is presented. The IB-LBM is well suitable for moving boundary flows. In Chapter 4, the two-phase LBM is explained from the point of view of the difficulty in computing two-phase flows with large density ratio. Then, a two-phase LBM for large density ratios is presented. In Appendix, sample codes (available for download) are given for users.Contents: PrefaceLattice Boltzmann Method (LBM)Lattice Kinetic SchemeImmersed Boundary’Lattice Boltzmann Method (IB-LBM)Two-Phase Lattice Boltzmann Method (Two-Phase LBM)Appendices:Definitions of Dimensionless VariablesD3Q19 and D3Q27 ModelsLBM with the MRT Model (MRT-LBM)Summation Formulae of Particle Velocities ciLattice UnitsProgram ExamplesAfterwordBibliographyIndexReadership: Advanced undergraduate and graduate students, researchers and practitioners in the fields of fluid mechanics, engineering, computer science, and physics.Lattice Boltzmann Method;Computational Fluid Dynamics;Immersed Boundary Method;Moving Boundary Flows;Interfacial Dynamics;Flapping Flight of Insects;Two-Phase Flows;Heat/Mass Transfer;Transport Phenomena0Key Features:The relation between the LBM and the Navier-Stokes equation is derived by using the asymptotic expansion with a diffusive time scale (the authors’ original work). The Chapman’Enskog expansion is usually used for that derivation, but the ordering of the variables as well as the time scale is not clear. On the other hand, the asymptotic expansion is easy to understand and makes clear the ordering of the variables. The asymptotic expansion is used through the bookThe LKS (also the authors’ original work) is an extension method of the LBM and needs no velocity distribution functions. Also, an improved LKS can stably simulate high Reynolds number flowsThe IB-LBM (also authors’ original work) is useful for simulations of moving boundary flows. For numerical examples, free flight simulations of butterfly-like and dragonfly-like flapping wing-body models are illustratedTwo-Phase LBM for large density ratios (also authors’ original work) is presented and applied to the simulation of a milk crownSample codes (available for download) for the IB-LBM and the two-phase LBM are given in Appendix, and the codes are useful for usersISBN: 9789811240515, 9811240515
Related products
