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Randolph E. Bank
Philip E. Gill
Michael Holst
Administrative Contact:
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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
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