Multiphase smoothed particle hydrodynamics modeling of diffusive flow through porous media

作者：Xu LI, Dekui Yuan, Zhibo Zhang · 发表于：Physics of Fluids · 年份：2021 · DOI：10.1063/5.0066614 · 被引用次数：10 · 研究领域：Fluid Dynamics Simulations and Interactions、Fluid Dynamics and Heat Transfer、Lattice Boltzmann Simulation Studies

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.