Outflow boundary conditions for the Fourier transformed one-dimensional Vlasov–poisson system

Bengt Eliasson

doi:10.1023/A:1011132312956

Outflow boundary conditions for the Fourier transformed one-dimensional Vlasov–poisson system

Bengt Eliasson

Physics

Research output: Contribution to journal › Article

25 Citations (Scopus)

Abstract

In order to facilitate numerical simulations of plasma phenomena where kinetic processes are important, we have studied the technique of Fourier transforming the Vlasov equation analytically in the velocity space, and solving the resulting equation numerically. Special attention has been paid to the boundary conditions of the Fourier transformed system. By using outgoing wave boundary conditions in the Fourier transformed space, small-scale information in velocity space is carried outside the computational domain and is lost. Thereby the so-called recurrence phenomenon is reduced. This method is an alternative to using numerical dissipation or smoothing operators in velocity space. Different high-order methods are used for computing derivatives as well as for the time-stepping, leading to an over-all fourth-order method.

Original language	English
Pages (from-to)	1-28
Number of pages	28
Journal	Journal of Scientific Computing
Volume	16
Issue number	1
DOIs	https://doi.org/10.1023/A:1011132312956
Publication status	Published - 1 Mar 2001

Fingerprint

One-dimensional System

Boundary conditions

boundary conditions

Vlasov equation

Vlasov Equation

vlasov equations

High-order Methods

Time Stepping

smoothing

Recurrence

Derivatives

Fourth Order

Plasmas

Smoothing

Dissipation

Kinetics

Plasma

dissipation

Computer simulation

Derivative

Keywords

Vlasov simulations
plasma
Fourier method
outflow boundary

Cite this

Eliasson, B. (2001). Outflow boundary conditions for the Fourier transformed one-dimensional Vlasov–poisson system. Journal of Scientific Computing, 16(1), 1-28. https://doi.org/10.1023/A:1011132312956

Eliasson, Bengt. / Outflow boundary conditions for the Fourier transformed one-dimensional Vlasov–poisson system. In: Journal of Scientific Computing. 2001 ; Vol. 16, No. 1. pp. 1-28.

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Eliasson, B 2001, 'Outflow boundary conditions for the Fourier transformed one-dimensional Vlasov–poisson system', Journal of Scientific Computing, vol. 16, no. 1, pp. 1-28. https://doi.org/10.1023/A:1011132312956

Outflow boundary conditions for the Fourier transformed one-dimensional Vlasov–poisson system. / Eliasson, Bengt.

In: Journal of Scientific Computing, Vol. 16, No. 1, 01.03.2001, p. 1-28.

Research output: Contribution to journal › Article

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