TY - BOOK AU - Inamuro, Takaji AU - Yoshino, Masato AU - Suzuki, Kosuke TI - Introduction to the lattice boltzmann method: : A numerical method for complex boundary and moving boundary flows SN - 9781944660246 KW - Lattice Boltzmann method KW - Fluid mechanics KW - Numerical analysis KW - Boundary value problems KW - Engineering mathematics N1 - Includes Reference, bibliography and index N2 - 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 ER -