Reassessing the single relaxation time Lattice Boltzmann method for the simulation of Darcy’s flows

Pietro Prestininzi (), Andrea Montessori, Michele La Rocca and Sauro Succi ()
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Pietro Prestininzi: Department of Engineering, University of Rome “Roma Tre”, Via della Vasca Navale 79, Rome 00141, Italy
Andrea Montessori: Department of Engineering, University of Rome “Roma Tre”, Via della Vasca Navale 79, Rome 00141, Italy
Michele La Rocca: Department of Engineering, University of Rome “Roma Tre”, Via della Vasca Navale 79, Rome 00141, Italy
Sauro Succi: Istituto per le Applicazioni del Calcolo, CNR, Via dei Taurini 19, Rome 00185, Italy

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 04, 1-8

Abstract: It is shown that the single relaxation time (SRT) version of the Lattice Boltzmann (LB) equation permits to compute the permeability of Darcy’s flows in porous media within a few percent accuracy. This stands in contrast with previous claims of inaccuracy, which we relate to the lack of recognition of the physical dependence of the permeability on the Knudsen number.

Keywords: Lattice Boltzmann method; Darcy’s flows; BGK; SRT; porous media; slip flow; Knudsen number (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0129183116500376

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