Published: Oct. 12, 2007
Event Description:

Luis Chacon, Los Alamos National Laboratory

On fully implicit methods for extended magnetohydrodynamics

Magnetohydrodynamics (MHD) describes the behavior of charged hot gases (plasmas) in the presence of electromagnetic fields, and is a crucial tool for the understanding of solar, space, and laboratory (e.g. thermonuclear fusion) plasmas. Mathematically, MHD is a hyperbolic PDE system which supports various fast waves. In its basic form (single fluid MHD), these waves are linear (k). However, in extended (or two-fluid) MHD models (XMHD), these waves become dispersive (k2). THe numerical stiffness associated with such waves present severe challenges for the efficient and accurate numerical integration of MHD phenomena over long frequencies. In this talk, we describe our discretization/solver strategy to address such challenges. Spatially, we employ Newton-Krylov-based fully implicit methods for robustness, efficiency, and accuracy. A crucial aspect of our approach is a novel preconditioning strategy, which we term 鈥減hysics-based鈥. It os based on a Schur complement treatment of the semi-discrete MHD equations, which in turn renders the linearized MHD system well conditioned for the use of classical multilevel techniques, thereby resulting in an optimal, scalable MHD solver.

Location Information:
听听()
1111 Engineering DR聽
麻豆影院, CO聽
搁辞辞尘:听265
Contact Information:
Name: Ian Cunningham
Phone: 303-492-4668
贰尘补颈濒:听amassist@colorado.edu