Modular methods for moving interfaces
Professor Strain will present a fast modular numerical method for solving general moving interface problems. It simplifies code development by providing a black-box solver which moves a given interface one step with given normal velocity. The method combines an efficiently redistanced level set approach, a problem-independent velocity extension, and a second-order semi-Lagrangian time stepping scheme. Adaptive quadtree meshes concentrate computational effort on the interface, so an N-element interface costs only O(N log N) work per time step. Numerical results show that the method computes accurate viscosity solutions to a wide variety of difficult geometric moving interface problems involving merging, anisotropy, faceting, nonlocality and curvature.

