Regular and multiscale expansions of a lattice Boltzmann method
by Michael Junk, Martin Rheinlander
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 8, No. 1/2/3/4, 2008

Abstract: In this paper we focus on the analysis of lattice Boltzmann schemes by asymptotic methods. We consider a simple lattice Boltzmann algorithm, which is used to develop and to illustrate the ideas simultaneously. Specifically, we address the following questions: How to perform a consistency analysis of numerical schemes by regular expansions? Where are the shortcomings of regular expansions? What are multiscale expansions and how do they come naturally into play, to understand numerical algorithms more accurately?

Online publication date: Wed, 30-Apr-2008

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