Year: 2020
Author: Michel Mehrenberger, Laurent Navoret, Nhung Pham
Communications in Computational Physics, Vol. 28 (2020), Iss. 3 : pp. 877–901
Abstract
In this paper, we focus on one difficulty arising in the numerical simulation of the Vlasov-Poisson system: when using a regular grid-based solver with periodic boundary conditions, perturbations present at the initial time artificially reappear at a later time. For regular finite-element mesh in velocity, we show that this recurrence time is actually linked to the spectral accuracy of the velocity quadrature when computing the charge density. In particular, choosing trigonometric quadrature weights optimally defers the occurrence of the recurrence phenomenon. Numerical results using the Semi-Lagrangian Discontinuous Galerkin and the Finite Element/Semi-Lagrangian method confirm the analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2019-0022
Communications in Computational Physics, Vol. 28 (2020), Iss. 3 : pp. 877–901
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Finite element mesh Vlasov-Poisson system Semi-Lagrangian Discontinuous Galerkin method trigonometric quadrature.
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