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The lattice Boltzmann advection-diffusion model revisited

Chopard, B. ; Falcone, J. L. ; Latt, J.

In: The European Physical Journal Special Topics, 2009, vol. 171, no. 1, p. 245-249

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    Titre
    • The lattice Boltzmann advection-diffusion model revisited
    Auteur
    • Chopard, B.. University of Geneva, Geneva, Switzerland
    • Falcone, J. L.. University of Geneva, Geneva, Switzerland
    • Latt, J.. Tufts University, 02155, Medford, MA, USA
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • The European Physical Journal Special Topics, 2009, vol. 171, no. 1, p. 245-249. Springer-Verlag
    Autre version électronique
    Classification
    • Physique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:312975
    Summary
    Advection-diffusion processes can be simulated by the Lattice Boltzmann method. Two formulations have been proposed in the literature. We show that they are not fully correct (only first order accurate). A new formulation is proposed, which is shown to produce better results, both from the point of view of the Chapman-Enskog expansion or when comparing simulations with an exact time-dependent solution of the advection-diffusion equation