Within the last decades the lattice Boltzmann method (LBM) has matured as an alternative approach for solving fluid dynamical problems. Its attractiveness stems mostly from the simplicity of the core algorithm and from its local nature, which allows straight-forward parallelization on modern computing systems – an important property for attacking complex fluid dynamical problems.

Within this seminar we will focus on the mathematical theory behind the LBM. Seminar topics will cover the roots of the method, which can be derived from statistical mechanics (Boltzmann equation), the numerical analysis proofing its applicability to correctly simulate hydrodynamics (incompressible Navier-Stokes equations), as well as the most important model variants that exist.