For more information about this meeting, contact Kris Jenssen, Yuxi Zheng.
| Title: | Discontinuous Galerkin Methods for Problems in Plasma Physics |
| Seminar: | Computational and Applied Mathematics Colloquium |
| Speaker: | James Rossmanith, Department of Mathematics, University of Wisconsin |
| Abstract: |
| Plasma is a state of matter in which electrons
disassociate from their nuclei, resulting in
electrically conducting clouds of positively
and negatively charged ions. Mathematically,
plasma can be modeled on a variety of scales,
resulting in various kinetic, fluid, and hybrid
models.
In this talk we first we consider the simplest plasma fluid
model: the ideal MHD (magnetohydrodynamic) system.
We review some of the mathematical difficulties
associated with the divergence-free condition
on the magnetic field. We will then describe a
class of discontinuous Galerkin (DG) methods for
approximately solving this system.
Next we consider two genuinely two-fluid models of
plasma: Euler-Maxwell (5-moments) and extended
Euler-Maxwell (10-moments). We focus our discussion
on the problem of collisionless magnetic reconnection.
We first describe this problem and then our efforts to
apply two-fluid models to it, again using discontinuous
Galerkin methods. |
Room Reservation Information
| Room Number: | MB106 |
| Date: | 10 / 30 / 2009 |
| Time: | 03:35pm - 04:25pm |