Abstract

This paper presents a numerical model using smoothed particle hydrodynamics for simulating diffusive flow in porous media with spatially varying porosity, especially when high permeability permits fast flow. The governing equations are based on a two-phase mixture theory that describes porosity in terms of stationary solid particles carrying information about volume fraction. The diffusion equation is first validated by application to two-dimensional diffusion within a square box. The continuity and momentum equations taking account of porosity are then validated by simulating Darcy seepage flow in a U-tube filled with a porous medium. Good agreement between numerical results and predicted data is obtained, demonstrating the validity of the multiphase model. Finally, the model is applied to diffusion in a two-dimensional dam-break flow through a porous structure.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call