Lattice-Boltzmann Methods - Basics and Recent Progress

This article gives a short overview over the formal origin and the evolution of Lattice Boltzmann (LB) methods for Computational Fluid Dynamics. The main focus is to discuss the basic framework of LB models and different model variants including boundary conditions as well as some potential fields of application. In addition we present some results of qualitative and quantitative numerical studies of different problem fields spanning laminar, turbulent, free surface and multiphase flows.