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A pore-scale numerical model for flow through porous media. (English) Zbl 0957.76067

Summary: A pore-scale numerical model based on smoothed particle hydrodynamics (SPH) is described for modelling fluid flow phenomena in porous media. Originally developed for astrophysics applications, SPH is extended to model incompressible flows of low Reynolds number as encountered in groundwater flow systems. We provide an overview of SPH, and describe the required modifications for modelling flow through porous media, including treatment of viscosity, equation of state, and no-slip boundary conditions. The performance of the model is demonstrated for two-dimensional flow 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 finite element method and published solutions in the literature.

MSC:

76M28 Particle methods and lattice-gas methods
76S05 Flows in porous media; filtration; seepage
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