Description
Book SynopsisThis unique professional volume is about the recent advances in the lattice Boltzmann method (LBM). It introduces a new methodology, namely the simplified and highly stable lattice Boltzmann method (SHSLBM), for constructing numerical schemes within the lattice Boltzmann framework. Through rigorous mathematical derivations and abundant numerical validations, the SHSLBM is found to outperform the conventional LBM in terms of memory cost, boundary treatment and numerical stability.This must-have title provides every necessary detail of the SHSLBM and sample codes for implementation. It is a useful handbook for scholars, researchers, professionals and students who are keen to learn, employ and further develop this novel numerical method.
Table of ContentsIntroductions; Simplified and Highly Stable Lattice Boltzmann Methodology; Evaluations of Simplified and Highly Stable Lattice Boltzmann Methodology; Simplified Lattice Boltzmann Method for Non-Newtonian and Thermal Flows; Immersed Boundary — Simplified Lattice Boltzmann Method; Simplified Axisymmetric Lattice Boltzmann Method; Simplified Multiphase Lattice Boltzmann Method; Highly Accurate Simplified Lattice Boltzmann Method for Incompressible Flows; Bibliography; Appendices: Sample Code of SMLBM: 2D Laplace Law; Sample Code of HSLBM: 3D Natural Convection in a Cubic Cavity;
