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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 3/2016

16.06.2016

An h-Adaptive RKDG Method for the Vlasov–Poisson System

verfasst von: Hongqiang Zhu, Jianxian Qiu, Jing-Mei Qiu

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2016

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Abstract

In this paper, we propose a new h-adaptive indicator for the Runge–Kutta discontinuous Galerkin (RKDG) scheme in simulations of the Vlasov–Poisson (VP) system. This adaptive indicator, tailored for the VP system, is based on the principle that each cell assumes solution variations as equally as possible. Under the framework of the RKDG method, such adaptive indicator is particularly simple and cheap for the computation. Its effectiveness is demonstrated by extensive numerical tests. The detailed adaptive algorithm as well as some important implementation issues, including the grid and data structure, adaptive criteria, data prolongation/projection and mesh projection, is presented.
Vorheriger Artikel A High-Order Level-Set Method with Enhanced Stability for Curvature Driven Flows and Surface Diffusion Motion
Nächster Artikel Capacity of the Adini Element for Biharmonic Equations

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Metadaten
Titel
An h-Adaptive RKDG Method for the Vlasov–Poisson System
verfasst von
Hongqiang Zhu
Jianxian Qiu
Jing-Mei Qiu
Publikationsdatum
16.06.2016
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 3/2016
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-016-0238-1

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