Mathematics Seminar 03/11/22

Mar 11 3:00 pm
Speaker

Dr. Jesse Chan, Assistant Professor, Department of Computational and Applied Mathematics, Rice University.

Title

Mathematics Seminar Series

Subtitle

On the robustness of high order entropy stable discontinuous Galerkin methods

Digital Location

https://msstate.webex.com/msstate/j.php?MTID=mfa641b54f8ec32f6b99cef0d6bbcb76b

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 stableschemes 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 different approaches for constructing entropy stable discontinuous Galerkin methods  and discuss the impact of each approach on robustness for under-resolved compressible flows.

Biosketch: Dr. Chan earned his PhD degree from UT Austin in 2013.  He served as a Pfieffer postdoctoral instructor at Rice University from 2013-2015, and as a postdoctoral researcher at Virginia Tech from 2015-2016 before returning to Rice as faculty in 2016. He was a recipient of an NSF CAREER Award (2020). His research focuses on accurate and efficient numerical solutions of time-dependent PDEs. His recent work has focused on the construction of provably stable high order methods for wave propagation and fluid dynamics and their implementation on Graphics Processing Units (GPUs).

If you would like to meet with Dr. Chan, please contact:  Dr. Vu Thai Luanluan@math.msstate.edu, (662)-325-7162.