DMS Applied Mathematics Seminar

Speaker: Jesse Chan, Rice University

Title: Recent advances in high order entropy stable discontinuous Galerkin schemes

Abstract: High order discontinuous Galerkin (DG) methods are known to be unstable when applied to nonlinear conservation laws with shocks and turbulence, and have traditionally required additional filtering, limiting, or artificial viscosity to avoid solution blow up.  Entropy stable schemes address this instability by ensuring that physically relevant solutions satisfy a semi-discrete entropy inequality independently of numerical resolution. In this talk, we will review approaches for constructing entropy stable schemes and discuss recent developments, including positivity preserving strategies and the application of entropy stable methods to under-resolved compressible turbulent flows.