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

Invited Talk

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Non-Reflecting Boundary Conditions for the Lattice Boltzmann Method

D. Heubes, A. Bartel and M. Ehrhardt

Abstract
In this talk, we present different approaches of non-reflecting boundary conditions for the lattice Boltzmann method (LBM). One approach is based on a hyperbolic PDE formulation of the fluid's motion. There Dirichlet conditions at the artificial boundaries are computed using an analysis of characteristics. Then, the Dirichlet conditions are transferred to the LBM framework. Our procedure can be seen as a generalized LODI (local one dimensional inviscid) approach. In addition, we present our recent results of another approach, where a non-reflecting boundary condition is directly derived on the discrete level. Under the assumption of a simplified collision operator we compute an exact boundary condition on the discretized level for a one dimensional setting. This formulation depends on all previously computed values at the boundary. Based on the exact formulation, we aim at techniques to get practical and efficient boundary conditions.

Organized by         Universidad de Valladolid     IMUVA