Flow field calculations within discrete models of multiphase materials

Mass transport in composite materials is affected by the properties of the constituent phases and their interfaces. This paper presents a discrete (lattice) model for simulating mass transport within multiphase materials. The lattice is based on Delaunay/Voronoi tessellations of a semi-random set of points. Fundamental properties of the lattice network are validated for potential flow through homogeneous media. Thereafter, flow is simulated through multiphase particulate materials, in which the inclusions have simple geometries. Explicit representation of the matrix-inclusion interphase enables precise control of interphase thickness and the simulation of percolation phenomena. As expected, interphase percolation leads to dramatic increases in effective permeability of the medium. The ability to calculate nodal flux, and from it visualize complex flow fields, is essential for model validation and model-based engineering of multiphase materials.