Structure Preserving Discontinuous Galerkin Methods for Ideal MHD Simulation
Tuesday, March 20, 2PM – 3PM
Ideal magnetohydrodynamics (MHD) equations arise in many areas such as astrophysics and plasma physics, and they consist of a set of nonlinear conservation laws. As a non-strictly hyperbolic system, the solutions display rich features. In this talk, I will present our developments in designing high order discontinuous Galerkin methods to reliably simulate this system, with the main focus on the numerical treatments for the divergence-free constraint on the magnetic field, and the positivity of density and pressure.
Dr. Fengyan Li has been a faculty member at Rensselaer Polytechnic Institute for the last 5 years and has been recently promoted to Associate Professor. She got her PhD at Brown University in 2004 under the direction of Chi Wang Shu. She has been the recipient of a Sloan fellowship in 2008 and an NSF Career Award in 2009. Her research interests focus on design, analysis and implementation of accurate, robust and efficient numerical methods for differential equations such as exactly divergence-free high order methods for magnetohydrodynamics (MHD) equations, physically relevant high order methods for Vlasov-Maxwell equations, fast sweeping methods for Hamilton-Jacobi equations; hybridization techniques for eigenvalue problems, local-structure-preserving discontinuous Galerkin methods, Nonconforming finite element methods for time-harmonic Maxwell equations and Maxwell eigenproblems.
Hosted by Irene Gamba