A lattice-Boltzmann scheme for Cattaneo’s diffusion equation

José Alvarez-Ramírez, Francisco J. Valdés-Parada and J. Alberto Ochoa-Tapia

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 7, 1475-1484

Abstract: A lattice-Boltzmann (LB) formulation is developed for the simulation of Cattaneo’s diffusion equation. To do this, the collision term is computed from a 1-step back relaxation dynamics which, in turn, induces a hyperbolic-type diffusion effect. The Fickian LB formulation is recovered in the limit as a relaxation time coefficient goes to zero.

Keywords: Lattice-Boltzmann; Cattaneo; Diffusion; Relaxation dynamics (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:7:p:1475-1484

DOI: 10.1016/j.physa.2007.10.051

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