Spectral Methods in Numerical Plasma Simulation

E.A. Coutsias, F.R. Hansen, T. Huld, G. Knorr, Jens-Peter Lynov

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    An introduction is given to the use of spectral methods in numerical plasma simulation. As examples of the use of spectral methods, solutions to the two-dimensional Euler equations in both a simple, doubly periodic region, and on an annulus will be shown. In the first case, the solution is expanded in a two-dimensional Fourier series, while a Chebyshev-Fourier expansion is employed in the second case. A new, efficient algorithm for the solution of Poisson's equation on an annulus is introduced. Problems connected to aliasing and to short wavelength noise generated by gradient steepening are discussed.
    Original languageEnglish
    JournalPhysica Scripta
    Volume40
    Issue number3
    Pages (from-to)270-279
    ISSN0281-1847
    DOIs
    Publication statusPublished - 1989

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