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Directors:
Randolph E. Bank
Philip E. Gill
Michael Holst

Administrative Contact:
Terry Le

Office: AP&M 7431
Phone: (858)534-9813
Fax: (858)534-5273
E-mail: tele@ucsd.edu
Reformulation of the Resistive MHD System for Ensuring DiscretePreservation of Constraints

Dan Reynolds
UCSD Department of Mathematics

Abstract:

We investigate the system of partial differential equations used inresistive magnetohydrodynamic modeling of fusion plasmas. This systemcouples the Euler and Maxwell equations for evolution of a charged fluidin an electromagnetic field, hence the magnetic field in the resultingPDE system must evolve on a divergence-free constraint manifold. Astraditional numerical solution approaches often violate theseconstraints, we investigate a reformulation of the resistive MHD systemto allow for accurate evolution of the continuum-level equations, whilesimultaneously ensuring that the solution satisfies the solenoidalconstraint.

Tuesday, November 28, 2006
11:00AM AP&M 2402