High Order Positivity-Preserving Entropy Stable Discontinuous Galerkin Discretizations

Explore high order discontinuous Galerkin (DG) methods and their application to nonlinear conservation laws in this comprehensive seminar presented by Jesse Chan from Rice University. Delve into the challenges of instability in DG methods when dealing with shocks and under-resolved solution features. Examine the concept of entropy stable schemes and their role in improving robustness by ensuring physically relevant solutions satisfy a semi-discrete cell entropy inequality. Learn about the construction of entropy stable high order discontinuous Galerkin methods and discover approaches for maintaining positive thermodynamic variables. Gain insights into the latest advancements in finite element research and applications relevant to the MFEM community. This seminar, part of the FEM@LLNL series sponsored by the MFEM project, offers valuable knowledge for researchers and practitioners in the field of computational physics and numerical methods.