✦ LIBER ✦

A pore-scale numerical model for flow through porous media

✍ Scribed by Zhu, Yi; Fox, Patrick J.; Morris, Joseph P.

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 425 KB
Volume: 23
Category: Article
ISSN: 0363-9061
DOI: 10.1002/(sici)1096-9853(19990810)23:9<881::aid-nag996>3.0.co;2-k

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✦ Synopsis

A pore-scale numerical model based on Smoothed Particle Hydrodynamics (SPH) is described for modelling #uid #ow phenomena in porous media. Originally developed for astrophysics applications, SPH is extended to model incompressible #ows of low Reynolds number as encountered in groundwater #ow systems. In this paper, an overview of SPH is provided and the required modi"cations for modelling #ow through porous media are described, including treatment of viscosity, equation of state, and no-slip boundary conditions. The performance of the model is demonstrated for two-dimensional #ow through idealized porous media composed of spatially periodic square and hexagonal arrays of cylinders. The results are in close agreement with solutions obtained using the "nite element method and published solutions in the literature.

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