Dokument: A positivity-preserving Active Flux method for the Vlasov-Poisson system

Titel:A positivity-preserving Active Flux method for the Vlasov-Poisson system
URL für Lesezeichen:https://docserv.uni-duesseldorf.de/servlets/DocumentServlet?id=68084
URN (NBN):urn:nbn:de:hbz:061-20250109-133048-8
Kollektion:Publikationen
Sprache:Englisch
Dokumententyp:Wissenschaftliche Texte » Artikel, Aufsatz
Medientyp:Text
Autoren: Kiechle, Yanick [Autor]
Chudzik, Erik [Autor]
Helzel, Christiane [Autor]
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Dateien vom 09.01.2025 / geändert 09.01.2025
Stichwörter:Positivity preservation, Plasma physics, Flux limitation, Vlasov equation, Active Flux
Beschreibung:The Active Flux method is a finite volume method which uses point values as well as cell average values as degrees of freedom. The point values are evolved in time using the characteristic form of the equation while the conservative form of the equations is used to evolve cell average values. Here we present an Active Flux method for the
dimensional Vlasov-Poisson system. The resulting scheme is third order accurate and uses a compact stencil in space and time. This leads to accurate approximations on relatively coarse grids, a desirable property for high dimensional kinetic equations.
To avoid negative values in the approximation of the Vlasov equation we introduce a new limiting approach for Active Flux methods that is motivated by positivity-preserving flux limiters.
Rechtliche Vermerke:Originalveröffentlichung:
Kiechle, Y., Chudzik, E., & Helzel, C. (2024). A positivity-preserving Active Flux method for the Vlasov-Poisson system. Journal of Computational Physics, 524, Article 113693. https://doi.org/10.1016/j.jcp.2024.113693
Lizenz:Creative Commons Lizenzvertrag
Dieses Werk ist lizenziert unter einer Creative Commons Namensnennung 4.0 International Lizenz
Fachbereich / Einrichtung:Mathematisch- Naturwissenschaftliche Fakultät
Dokument erstellt am:09.01.2025
Dateien geändert am:09.01.2025
english
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