Numerical Solution of PDEs Involving Interfaces

SCAIM Seminar
December 4, 2012 8:30 pm

Speaker:  Jean-Christophe Nave, Department of Mathematics and Statistics, McGill University

URL for Speaker:

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.