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A semi-implicit electromagnetic FEM-PIC scheme with exact energy and charge conservation

Authors
  • Pagès, Valentin
  • Campos Pinto, Martin
Publication Date
Mar 27, 2020
Source
HAL-SHS
Keywords
Language
English
License
Unknown
External links

Abstract

This article presents a new charge-and energy-conserving semi-implicit method (ChECSIM) for the Vlasov-Maxwell system. The Particle-in-Cell space dis-cretization involves a structure-preserving Finite Element Method for the fields, and the time discretization is an adaption of Lapenta's energy-conserving semi-implicit method (ECSIM) [31], which essentially consists of improving the latter with appropriate charge-conserving current deposition terms and an explicit correction step. As such, the resulting scheme is free of nonlinear iterations, and it preserves both energy and charge exactly.

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