SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Introduction to Lattice Boltzmann Method and Recent Trends

A. Bartel and D. Heubes

Abstract
In computational fluid dynamics often complex physical fluid properties (like multiphase, multicomponent, chemical reaction, multiphysics) need to be taken into account. Furthermore, boundaries or obstacles with complex fluid interaction occur. Classically, the Navier-Stokes equations would be needed to be supplemented with corresponding mathematical models. The lattice Boltzmann method (LBM) uses a particle approach in which these complex phenomena can be relatively easily represented on the basis of particle interaction. In this talk, the basic ideas of LBM will be explained including boundary conditions. We give a mathematical interpretation of the algorithms as certain quadrature rules. Furthermore, we report on certain recent trends such as multiphysical systems, fluid structure interaction and transparent boundaries.

Organized by         Universidad de Valladolid     IMUVA