Numerical Analysis Seminar

Date: March 30, 2022

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Jesse Chan, Rice University

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

Abstract: High order methods are known to be unstable when applied to nonlinear conservation laws whose solutions exhibit shocks and turbulence. These methods 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 the construction entropy stable discontinuous Galerkin methods and discuss recent work on positivity preservation, reduced order modeling, and robustness under-resolved simulations.