Introduction to the lattice boltzmann method : a numerical method for complex boundary and moving boundary flows
- Singapore : World Scientific, 2022
- xi, 153 p. ; ill., 24 cm
Includes bibliographical references and index.
The 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.
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Viscous flow Mathematical models Boundary layer Multiphase flow Lattice Boltzmann methods Acoutic time scale Computational algorithm Diffusive time scale Froude number Fractional-step method Immersed boundary method Kinematic viscosity coefficient Lattice gas model Multi- block grid method Pseudo-potential model S-expansion Taylor-Green vortex Wing-tip vortex