Numerical Analysis and Scientific Computing Seminar | Maria Han Veiga, A novel high-order divergence-free method for ideal magnetohydrodynamics equations

MC 5501

Zoom (Please contact ddelreyfernandez@uwaterloo.ca for meeting link) 

Speaker

Maria Han Veiga, Assistant Professor, Department of Mathematics, University of Michigan

Title

A novel high-order divergence-free method for ideal magnetohydrodynamics equations

Abstract

In this talk I will present our work towards solving the  ideal magnetohydrodynamics (MHD) equations using a novel high-order, divergence-free spectral difference method. We combine the spectral difference method (SD) method with a special treatment of the magnetic field to ensure the divergence-free condition, with an efficient formulation of the ADER scheme to achieve a high-order spacetime discretisation of the MHD equations. Furthermore, to deal with shocks that can arise in the flow, we extend use an a-posteriori limiting strategy, extending our previous work on the multi-dimensional Euler equations.

This is joint work with David Velasco-Romero and Romain Teyssier at Princeton University.