Outflow boundary conditions for the Fourier transformed three-dimensional Vlasov–Maxwell system

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Eliasson, Bengt (2007) Outflow boundary conditions for the Fourier transformed three-dimensional Vlasov–Maxwell system. Journal of Computational Physics, 225 (2). pp. 1508-1532. ISSN 0021-9991 (https://doi.org/10.1016/j.jcp.2007.02.005)

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Abstract

A problem with the solution of the Vlasov equation is its tendency to become filamented/oscillatory in velocity space, which in numerical simulations can give rise to unphysical oscillations and recurrence effects. We present a three-dimensional Vlasov–Maxwell solver (three spatial and velocity dimensions, plus time), in which the Vlasov equation is Fourier transformed in velocity space and the resulting equations solved numerically. By designing absorbing outflow boundary conditions in the Fourier transformed velocity space, the highest Fourier modes in velocity space are removed from the numerical solution. This introduces a dissipative effect in velocity space and the numerical recurrence effect is strongly reduced. The well-posedness of the boundary conditions is proved analytically, while the stability of the numerical implementation is assessed by long-time numerical simulations. Well-known wave-modes in magnetized plasmas are shown to be reproduced by the numerical scheme.

ORCID iDs

Eliasson, Bengt ORCID logoORCID: https://orcid.org/0000-0001-6039-1574;
  • Item type:Article
    ID code:55575
    Dates:
    Date
    Event
    10 August 2007
    Published
    17 February 2007
    Published Online
    1 February 2007
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:18 Feb 2016 15:14
    Last modified:11 Nov 2024 11:10
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/55575
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