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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Pietro Prestininzi & Andrea Montessori & Michele La Rocca & Sauro Succi, 2016. "Reassessing the single relaxation time Lattice Boltzmann method for the simulation of Darcy’s flows," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(04), pages 1-8, April.
    • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:04:n:s0129183116500376
    DOI: 10.1142/S0129183116500376
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