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Structure-Preserving Discontinuous Galerkin Methods for Ideal MHD Simulation

 

    

 A/Prof. Feng-Yan Li

 Rensselaer Polytechnic Institute

Email: lif@rpi.edu

 

 
Abstract: The ideal magneto hydrodynamics (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 focus on numerically preserving the divergence-free constraint on the magnetic field, and the positivity of density and pressure.

About the Speaker: Feng-Yan Li obtained her Ph.D. in Applied Mathematics, Brown University (2004). She is currently an Associate professor in Department of Mathematical Sciences, Rensselaer Polytechnic Institute. Her general interests include design, analysis, implementation and evaluation of accurate, robust and efficient numerical methods for PDEs.

 
Date&Time: April 9, 2013 (Tuesday), 10:30 -11:30 a.m.  
Location: 606 Conference Room


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