Title: Outflow boundary conditions for the lattice Boltzmann method

Authors: Michael Junk, Zhaoxia Yang

Addresses: FB Mathematik und Statistik, Universitat Konstanz, Postfach D194, 78457 Konstanz, Germany. ' FB Mathematik und Statistik, Universitat Konstanz, Postfach D194, 78457 Konstanz, Germany

Abstract: In this paper, we propose lattice Boltzmann implementations of several Navier-Stokes outflow boundary conditions like the zero normal-stress, the Neumann, and the do-nothing rule. A consistency analysis using asymptotic methods is given and the algorithms are numerically tested in two space dimensions with respect to accuracy and interaction with the inner flow field.

Keywords: lattice Boltzmann method; asymptotic analysis; Navier-Stokes; outflow boundary conditions.

DOI: 10.1504/PCFD.2008.018077

Progress in Computational Fluid Dynamics, An International Journal, 2008 Vol.8 No.1/2/3/4, pp.38 - 48

Available online: 30 Apr 2008 *

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