Incompressible Navier‐Stokes equation solvers based on lattice Boltzmann relaxation systems

Abstract

Abstract In this talk some recent numerical results based on discrete‐velocity relaxation systems will be presented. Discrete‐velocity equations are derived from continuous Boltzmann‐type equations with appropriate approximations suitable for incompressible flows. A relaxation system is derived by taking moments of the discrete‐velocity equations. This approach is also extended to turbulence flows using Large‐Eddy Simulation as well as thermal flows. The schemes are tested by solving a collection of examples. In particular the developed methods demonstrate potential as tools for Large‐Eddy Simulation and flow with Radiative Heat transfer. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)