Adaptive multiresolution semi-Lagrangian discontinuous Galerkin methods for the Vlasov equations

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• 作者：N. Besse^a ; ^b ; ^{nicolas.besse@oca.eu} ; E. Deriaz^b ; É ; . Madaule^b ; ^{eric.madaule@univ-lorraine.fr}
• 关键词：Vlasov&ndash ; Poisson ; Discontinuous Galerkin methods ; Multi-wavelets ; Multiresolution analysis ; Semi-Lagrangian methods ; Adaptive mesh refinement
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：332
• 期：Complete
• 页码：376-417
• 全文大小：10733 K
• 卷排序：332

文摘

We develop adaptive numerical schemes for the Vlasov equation by combining discontinuous Galerkin discretisation, multiresolution analysis and semi-Lagrangian time integration. We implement a tree based structure in order to achieve adaptivity. Both multi-wavelets and discontinuous Galerkin rely on a local polynomial basis. The schemes are tested and validated using Vlasov–Poisson equations for plasma physics and astrophysics.