Speaker: Jean-Christophe Nave, Department of Mathematics and Statistics, McGill University
URL for Speaker: http://www.math.mcgill.ca/jcnave/
Location: ESB 4133
Intended Audience: Public
The numerical study of multi-phase / multi-component systems requires addressing the problem of dealing with complicated geometries (e.g. an interface), and discontinuous solutions (e.g. pressure in two-phase Navier-Stokes). In this talk I will present a method for representing and evolving surfaces (open of closed) and a method for solving Poisson’s equation with internal jump conditions. Both methods assume a regular Cartesian grid, have optimally local stencils, and have arbitrary accuracy. Throughout the talk I will show simulations of physical systems involving fluids and solids.