##### Department of Mathematics,

University of California San Diego

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### Math 278 - Numerical Analysis Seminar

## Dan Reynolds

#### UCSD

## Reformulation of the resistive MHD system for ensuring discrete preservation of constraints

##### Abstract:

We investigate the system of partial differential equations used in resistive magnetohydrodynamic modeling of fusion plasmas. This system couples the Euler and Maxwell equations for evolution of a charged fluid in an electromagnetic field, hence the magnetic field in the resulting PDE system must evolve on a divergence-free constraint manifold. As traditional numerical solution approaches often violate these constraints, we investigate a reformulation of the resistive MHD system to allow for accurate evolution of the continuum-level equations, while simultaneously ensuring that the solution satisfies the solenoidal constraint.

### November 28, 2006

### 10:00 AM

### AP&M 7321

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