Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme
نویسندگان
چکیده
A fully variational, unstructured, electromagnetic particle-in-cell integrator is developed for integration of the Vlasov-Maxwell equations. Using the formalism of Discrete Exterior Calculus [1], the field solver, interpolation scheme and particle advance algorithm are derived through minimization of a single discrete field theory action. As a consequence of ensuring that the action is invariant under discrete electromagnetic gauge transformations, the integrator exactly conserves Gauss’s law. PACS numbers: 52.65.Rr, 52.65.Ff, 52.25.Dg
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