Oberseminar Numerische Mathematik / Scientific Computing
John Strain
Berkeley
Efficient Methods for Elliptic Moving Interface Problems
Abstract:
Many moving interface problems evolve complex material interfaces through topological changes, under velocities determined by elliptic systems of partial differential equations. A combination of semi-Lagrangian contouring, fast distance finding and Ewald summation yields robust efficient methods for such problems. High-resolution computations with geometric, Stokes and viscoelastic flows exhibit merging, anisotropy, faceting, curvature, dynamic topology and nonlocal interactions.The interface motion is converted to a contouring problem with an explicit second-order semi-Lagrangian advection formula. Grid-free adaptive refinement resolves complex interface geometry. A fast new Voronoi-based algorithm computes distances to high-order interface patches. Elliptic systems are solved by a fast new locally-corrected boundary integral formulation derived by Ewald summation and accelerated by new geometric nonequidistant fast Fourier transforms.
| Datum: | 18.05.07 | Zeit: | 14:15 Uhr | Ort: | FU Berlin, Institut für Mathematik II, Arnimallee 6, 14195 Berlin. | Raum: | 032 im Erdgeschoss |