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Absence of recurrence in Fourier–Fourier transformed Vlasov–Poisson simulations

Published online by Cambridge University Press:  23 July 2018

Alexander J. Klimas*
Affiliation:
GPHI/UMBC, NASA/Goddard Space Flight Center, Greenbelt, MD 20770, USA
Adolfo. F. Viñas
Affiliation:
NASA/Goddard Space Flight Center, Greenbelt, MD 20770, USA Department of Physics, American University, Washington, DC 20016, USA
*
Email address for correspondence: alex.klimas@nasa.gov

Abstract

It is known that the filtered, doubly Fourier transformed, Eulerian Vlasov–Poisson simulation method does not exhibit any effects of recurrence. It has not been understood why this is so. It is shown that there is only one boundary in this simulation method where user input is allowed and that the appearance or not of recurrence depends on the character of the boundary data that are imposed. Examples are given that show that the choice of boundary data that leads to recurrence-free simulations does not degrade the accuracy of Landau damping simulations.

Type
Research Article
Copyright
© Cambridge University Press 2018 

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