Abstract
We present results from an effort to couple the equations of electromagnetic diffusion with the equations of arbitrary Lagrangian-Eulerian (ALE) hydrodynamics. The electromagnetic diffusion equations are discretized using a novel mixed finite element method coupled with a generalized Crank-Nicholson time differencing scheme. At each discrete time step, electromagnetic force and heat terms are calculated and coupled to the hydrodynamic equations in an operator split approach. We present preliminary results from a fully coupled electromechanical simulation as well as results concerning advection techniques for electromagnetic quantities.
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