On the Use of Hermite Functions for the Vlasov–Poisson System-Reference-Cited by-同舟云学术

On the Use of Hermite Functions for the Vlasov–Poisson System

Published:2020 Issue: Volume: Page:143-153
ISSN:1439-7358
Container-title:Lecture Notes in Computational Science and Engineering
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Author:

Fatone Lorella,Funaro Daniele,Manzini Gianmarco

Abstract

AbstractWe apply a second-order semi-Lagrangian spectral method for the Vlasov–Poisson system, by implementing Hermite functions in the approximation of the distribution function with respect to the velocity variable. Numerical tests are performed on a standard benchmark problem, namely the two-stream instability test case. The approach uses two independent sets of Hermite functions, based on Gaussian weights symmetrically placed with respect to the zero velocity level. An experimental analysis is conducted to detect a reasonable location of the two weights in order to improve the approximation properties.

Publisher

Springer International Publishing

Link

https://link.springer.com/content/pdf/10.1007/978-3-030-39647-3_10

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