Symplectic model reduction methods for the Vlasov equation

Tomasz M. Tyranowski*, Michael Kraus

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)
6 Downloads (Pure)

Abstract

Particle-based simulations of the Vlasov equation typically require a large number of particles, which leads to a high-dimensional system of ordinary differential equations. Solving such systems is computationally very expensive, especially when simulations for many different values of input parameters are desired. In this work, we compare several model reduction techniques and demonstrate their applicability to numerical simulations of the Vlasov equation. The necessity of symplectic model reduction algorithms is illustrated with a simple numerical experiment.
Original languageEnglish
Pages (from-to)e202200046
Number of pages13
JournalContributions to Plasma Physics
Volume63
Issue number5-6
Early online date6 Oct 2022
DOIs
Publication statusPublished - Jun 2023
Externally publishedYes

Keywords

  • data-driven model reduction
  • geometric integration
  • particle-in-cell method
  • Vlasov equation

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