Year: 2024
Author: Philipp Krah, Xi-Yuan Yin, Julius Bergmann, Jean-Christophe Nave, Kai Schneider
Communications in Computational Physics, Vol. 35 (2024), Iss. 4 : pp. 905–937
Abstract
We propose an efficient semi-Lagrangian characteristic mapping method for solving the one+one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The flow map is evolved numerically and exponential resolution in linear time is obtained. Global third-order convergence in space and time is shown and conservation properties are assessed. For benchmarking, we consider linear and nonlinear Landau damping and the two-stream instability. We compare the results with a Fourier pseudo-spectral method and results from the literature. The extreme fine-scale resolution features are illustrated showing the method’s capabilities to efficiently treat filamentation in fusion plasma simulations.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2024-0012
Communications in Computational Physics, Vol. 35 (2024), Iss. 4 : pp. 905–937
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 33
Keywords: Characteristic mapping method kinetic equations Vlasov-Poisson plasma.
Author Details
-
High fidelity simulations of the multi-species Vlasov equation in the electro-static, collisional-less limit
Wilhelm, Rostislav-Paul
Eifert, Jan
Torrilhon, Manuel
Orland, Fabian
Plasma Physics and Controlled Fusion, Vol. 67 (2025), Iss. 2 P.025011
https://doi.org/10.1088/1361-6587/ad9fdb [Citations: 0]