Applied Mathematics and Plasma Physics
Stokes flow is fluid flow where advective inertial forces are negligibly small compared to viscous forces. Stokes flow is a good and important approximation for a number of physical problems such as sedimentation, modeling of bio-suspensions, construction of efficient fibrous filters, developing energy efficient micro-fluidic devices (e.g. mixers), etc. Efficient numerical solution of Stokes flow requires unstructured meshes adapted to geometry and solution as well as accurate discretization methods capable of treating such meshes. We developed a new mimetic finite difference (MFD) method that remains accurate on general polygonal meshes that may include non-convex and degenerate elements.