Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0957.76067
Zhu, Yi; Fox, Patrick J.; Morris, Joseph P.
A pore-scale numerical model for flow through porous media. (English)
[J] Int. J. Numer. Anal. Methods Geomech. 23, No.9, 881-904 (1999). ISSN 0363-9061; ISSN 1096-9853/e

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 2000:: *76M28 Particle methods and lattice-gas methods
76S05 Flows in porous media

Keywords: flow in porous media; hydraulic conductivity; Darcy's law; spatially periodic hexagonal arrays of cylinders; pore-scale numerical model; smoothed particle hydrodynamics; incompressible flows; low Reynolds number; groundwater flow systems; viscosity; equation of state; no-slip boundary conditions; spatially periodic square arrays of cylinders

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]