Introduction to the Lattice Boltzmann Method, An: A Numerical Method for Complex Boundary and Moving Boundary Flows (Hardcover) (ISBN-13: 9789811240515)

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.

Author: Takaji Inamuro, Masato Yoshino, Kosuke Suzuki
ISBN-10: 9811240515
ISBN-13: 9789811240515
Publisher: Co-Published with World Scientific
Language: English
Published: 12/20/2021
Pages: 168
Format: Hardcover
Weight: 0.87lbs
Size: 9.00h x 6.00w x 0.44d