Computational Models of Heterogeneous Media

The study of multiphase flow in heterogeneous media finds application across a number of important industrial and biological processes, including drying of foods for preservation, converting biomass into biofuels, using fractional dynamic models for MRI to probe tissue microstructure, studying viscoelastic non-Newtonian fluids, and understanding the role of heterogeneity for treating diseases of the heart. A significant challenge to modelling these processes is to understand how the strongly coupled heat and mass transfer phenomena evolve and interact in the complicated porous microstructure. To elucidate the complex physics, exposure to a broad cross-section of sophisticated numerical methods is essential and we will explore some of these methods in the Winter School. The School will feature modules on multiscale modelling; computational homogenization; fractional calculus; finite volume, finite element, spectral and meshless methods; Stokes flow; parameter estimation; and Krylov subspace methods.