Geometric Integration Of The Vlasov-Maxwell System With A Variational Particle-in-cell Scheme | Zendy

Hanna Squire | Zendy

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Geometric Integration Of The Vlasov-Maxwell System With A Variational Particle-in-cell Scheme

Author(s) -

Hanna Squire

Publication year - 2012

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/1037451

Subject(s) - massively parallel , nonlinear system , landau damping , scheme (mathematics) , physics , classical mechanics , term (time) , degrees of freedom (physics and chemistry) , order (exchange) , field (mathematics) , vlasov equation , particle (ecology) , mathematics , computer science , statistical physics , electron , mathematical analysis , parallel computing , quantum mechanics , pure mathematics , oceanography , geology , finance , economics

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

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