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Reformulation of the Resistive MHD System for Ensuring DiscretePreservation of Constraints

Dan Reynolds
UCSD Department of Mathematics


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