2016-07-06
10:15 at HCP F43.4

Two-dimensional immersed interface method for moving interfaces

Mauricio Del Razo Sarmina

Department of Applied Mathematics, University of Washington, Seattle, USA

Immersed interface problems usually arise when modeling the dynamics between two different materials, like water and oil, or the same material at different states, such as water and ice. The modeling and computational simulation of these problems have multiple applications ranging from phase transition to biological interfaces. The immersed interface method is a powerful second-order accurate numerical method to model such problems. In the present talk, we will show how to implement the immersed interface method for 2-D heat equations with fixed or moving immersed interfaces and a singular forcing term along the interface. Specifically, we solve the Stefan problem in two dimensions with an arbitrary interface.