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1998•International Journal of Modern Physics CRequires access

Lattice-Boltzmann Method for Macroscopic Porous Media Modeling

David Freed

Open publisher page 102 citations

Abstract

An extension to the basic lattice-BGK algorithm is presented for modeling a simulation region as a porous medium. The method recovers flow through a resistance field with arbitrary values of the resistance tensor components. Corrections to a previous algorithm are identified. Simple validation tests are performed which verify the accuracy of the method, and demonstrate that inertial effects give a deviation from Darcy's law for nominal simulation velocities.

About this research paper

What this paper is about

An extension to the basic lattice-BGK algorithm is presented for modeling a simulation region as a porous medium. The method recovers flow through a resistance field with arbitrary values of the resistance tensor components. Corrections to a previous algorithm are identified. Simple validation tests are performed which verify the accuracy of the method, and demonstrate that inertial effects give a deviation from Darcy's law for nominal simulation velocities.

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OpenAlex reports 102 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

An extension to the basic lattice-BGK algorithm is presented for modeling a simulation region as a porous medium. The method recovers flow through a resistance field with arbitrary values of the resistance tensor components. Corrections to a previous algorithm are identified. Simple validation tests are performed which verify the accuracy of the method, and demonstrate that inertial effects give a deviation from Darcy's law for nominal simulation velocities.

Key concepts: Lattice Boltzmann methods, Porous medium, Statistical physics, Lattice gas automaton, Darcy's law, Lattice (music), Porosity, Inertial frame of reference

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