Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme
Plasma Physics
2015-06-18 v1 Accelerator Physics
Computational Physics
Abstract
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, 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.
Keywords
Cite
@article{arxiv.1401.6723,
title = {Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme},
author = {Jonathan Squire and Hong Qin and William M. Tang},
journal= {arXiv preprint arXiv:1401.6723},
year = {2015}
}