Pore-scale Modeling of Viscous Flow and Induced Forces in Dense Sphere Packings

Details Pore-scale Modeling of Viscous Flow and Induced Forces in Dense Sphere Packings Pore-scale Modeling of Viscous Flow and Induced Forces in Dense Sphere Packings

2011-05-02

arxiv.org/abs/1105.0297v2

Physics

Condensed Matter

Soft Condensed Matter

20 pages, 12 figures, submitted to Transport in Porous Media

Scientific paper

10.1007/s11242-011-9915-6

We propose a method for effectively upscaling incompressible viscous flow in large random polydispersed sphere packings: the emphasis of this method is on the determination of the forces applied on the solid particles by the fluid. Pore bodies and their connections are defined locally through a regular Delaunay triangulation of the packings. Viscous flow equations are upscaled at the pore level, and approximated with a finite volume numerical scheme. We compare numerical simulations of the proposed method to detailed finite element (FEM) simulations of the Stokes equations for assemblies of 8 to 200 spheres. A good agreement is found both in terms of forces exerted on the solid particles and effective permeability coefficients.

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