This 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.Contents: IntroductionsSimplified and Highly Stable Lattice Boltzmann MethodAnalysis on Simplified and Highly Stable Lattice Boltzmann MethodSimplified Lattice Boltzmann Method for Non-Newtonian and Thermal FlowsImmersed Boundary — Simplified Lattice Boltzmann Method for Moving Boundary ProblemsSimplified Axisymmetric Lattice Boltzmann MethodSimplified Multiphase Lattice Boltzmann MethodHighly Accurate Simplified Lattice Boltzmann Method for Incompressible Flows
Readership: Professionals, academics, researchers, and graduate students in mechanical engineering, aerospace engineering, engineering mechanics and mathematical physics. Lattice Boltzmann Method;Kinetic Theory;Numerical Method;Stability;Incompressible Flows00
