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Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme
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10.1063/1.4742985
/content/aip/journal/pop/19/8/10.1063/1.4742985
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/8/10.1063/1.4742985
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Structure of DEC and operators for a single 2-D simplex.

Image of FIG. 2.
FIG. 2.

Prismal primal and dual cells, shown in two spatial dimensions for clarity. A is a primal 1-form, B and E are primal 2-forms, D and H are dual 2-forms, and (J and ) is a dual 2-form. The structure of these forms in 3 spatial dimensions is outlined in the text. Also shown is a sample particle track.

Image of FIG. 3.
FIG. 3.

Electron beam particle distribution accelerated by external potential. Evolved in time using: (a) symplectic PIC (current conserving) (b) non current conserving algorithm producing spurious bunching of the charge into lines due to violations of Gauss’s law.

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/content/aip/journal/pop/19/8/10.1063/1.4742985
2012-08-07
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/8/10.1063/1.4742985
10.1063/1.4742985
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