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The lattice Boltzmann advection-diffusion model revisited

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Published in The European Physical Journal Special Topics. 2009, vol. 171, no. 1, p. 245-249
Collection Open Access - Licence nationale Springer 
Abstract 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.
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CHOPARD, Bastien, FALCONE, Jean-Luc, LATT, Jonas. The lattice Boltzmann advection-diffusion model revisited. In: The European Physical Journal Special Topics, 2009, vol. 171, n° 1, p. 245-249. https://archive-ouverte.unige.ch/unige:112714

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Deposited on : 2019-01-09

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