SFU Applied & Computational Math Seminar Series: David Wiedemann

Numerical simulations of physical or chemical processes in heterogeneous media require a resolution of the heterogeneous structure. If, however, this heterogeneity is microscopically small while the object under consideration is large, a dimensional mismatch occurs and classical numerical methods become infeasible. At this point, analytical homogenization provides effective homogeneous substitute models, which can be simulated numerically much more easily. One class of problems that can be treated are processes in porous media. In many biological or chemical applications, the pore structure evolves in time, which impedes classical homogenization. By means of the two-scale transformation method, we can overcome this difficulty and derive new effective models for problems in evolving heterogeneous media.