"Version: 20171201"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Introduction -- 2. The Lattice Boltzmann equation for complex flows -- 2.1. Kinetic and lattice kinetic theory : a brief overview -- 2.2. The Lattice Boltzmann equation3. Lattice schemes for multiphase and multicomponent flows : theory a…