Application of Lattice Boltzmann Method: Thermal Multiphase Fluid Dynamics

This book begins by introducing the reader to Lattice Boltzmann Method (LBM), covering the fundamental principles of the method, while also outlining the potential problems involved. It provides a detailed description to build the thermal multiphase LBM (TMLBM) which includes the effects of interfacial tension and its dependence on temperature by a hybrid scheme. It also describes how a nearest-neighbor molecular interaction force is introduced into LB equation to model the adhesive forces between the fluid and solid surface. Some example simulations, e.g., two-phase Rayleigh-Benard convection, vibration-induced thermal convection in a two-layer fluid system, micron-scale fluid droplet on a heterogeneous surface, are included. The method has a remarkable ability to simulate a rich of behaviors, including single- and multiphase with or without thermal problem, phase separation, buoyancy, and the interactions with solid surfaces. This book may be used as a reference for science and engineers, and a textbook for graduates in engineering sciences such as materials, mechanical, biomedical engineering.