Lattice gas automata for flow through porous media

Lattice gas hydrodynamic models for flows through porous media in two and three dimensions are described. The computational method easily handles arbitrary boundaries and a large range of Reynolds numbers. Darcy's law is confirmed for Poiseuille flow and for complicated boundary flows. Multiply...

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Bibliographic Details
Published in:Physica. D 1991, Vol.47 (1), p.72-84
Main Authors: Chen, Shiyi, Diemer, Karen, Doolen, Gary D., Eggert, Kenneth, Fu, Castor, Gutman, Semion, Travis, Bryan J.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical methods in physics
Numerical approximation and analysis
Physics
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Summary:Lattice gas hydrodynamic models for flows through porous media in two and three dimensions are described. The computational method easily handles arbitrary boundaries and a large range of Reynolds numbers. Darcy's law is confirmed for Poiseuille flow and for complicated boundary flows. Multiply connected pore structures similar to actual sandstone with fixed fractal dimension and porosity are generated. Permeability as a function of fractal dimension and porosity is calculated and compared with results of other methods and experiments.
ISSN:0167-2789
1872-8022
DOI:10.1016/0167-2789(91)90281-D