Introduction to the Lattice Boltzmann Method, An: A Numerical Method for Complex Boundary and Moving Boundary Flows

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Publisher : Co-Published with World Scientific
ISBN 13 : 9789811240515
Total Pages : 172 pages
Book Rating : 4.2/5 (45 download)

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Book Synopsis Introduction to the Lattice Boltzmann Method, An: A Numerical Method for Complex Boundary and Moving Boundary Flows by : Takaji Inamuro

Download or read book Introduction to the Lattice Boltzmann Method, An: A Numerical Method for Complex Boundary and Moving Boundary Flows written by Takaji Inamuro and published by Co-Published with World Scientific. This book was released on 2021-12-23 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.