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

Research output: Contribution to journalArticle

24 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.
LanguageEnglish
Pages1-28
Number of pages28
JournalJournal of Scientific Computing
Volume16
Issue number1
DOIs
Publication statusPublished - 1 Mar 2001

Fingerprint

Vlasov-Poisson System
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

Keywords

  • Vlasov simulations
  • plasma
  • Fourier method
  • outflow boundary

Cite this

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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.",
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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 journalArticle

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AB - 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.

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