Numerical modelling of the two-dimensional Fourier transformed Vlasov–Maxwell system

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

The two-dimensional Vlasov–Maxwell system, for a plasma with mobile, magnetised electrons and ions, is investigated numerically. A previously developed method for solving the two-dimensional electrostatic Vlasov equation, Fourier transformed in velocity space, for mobile electrons and with ions fixed in space, is generalised to the fully electromagnetic, two-dimensional Vlasov–Maxwell system for mobile electrons and ions. Special attention is paid to the conservation of the divergences of the electric and magnetic fields in the Maxwell equations. The Maxwell equations are rewritten, by means of the Lorentz potentials, in a form which conserves these divergences. Linear phenomena are investigated numerically and compared with theory and with previous numerical results.
Original languageEnglish
Pages (from-to)501-522
Number of pages22
JournalJournal of Computational Physics
Volume190
Issue number2
DOIs
Publication statusPublished - 20 Sep 2003

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Numerical Modeling
Maxwell equations
Two-dimensional Systems
Electron
Maxwell's equations
Maxwell equation
Electrons
Divergence
divergence
Ions
Vlasov equation
Vlasov Equation
ions
vlasov equations
electrons
Conserve
Electrostatics
Conservation
conservation
Electric Field

Keywords

  • Vlasov simulations
  • Vlasov-Maxwell system
  • divergence problem
  • Maxwell equation

Cite this

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abstract = "The two-dimensional Vlasov–Maxwell system, for a plasma with mobile, magnetised electrons and ions, is investigated numerically. A previously developed method for solving the two-dimensional electrostatic Vlasov equation, Fourier transformed in velocity space, for mobile electrons and with ions fixed in space, is generalised to the fully electromagnetic, two-dimensional Vlasov–Maxwell system for mobile electrons and ions. Special attention is paid to the conservation of the divergences of the electric and magnetic fields in the Maxwell equations. The Maxwell equations are rewritten, by means of the Lorentz potentials, in a form which conserves these divergences. Linear phenomena are investigated numerically and compared with theory and with previous numerical results.",
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Numerical modelling of the two-dimensional Fourier transformed Vlasov–Maxwell system. / Eliasson, Bengt.

In: Journal of Computational Physics, Vol. 190, No. 2, 20.09.2003, p. 501-522.

Research output: Contribution to journalArticle

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AB - The two-dimensional Vlasov–Maxwell system, for a plasma with mobile, magnetised electrons and ions, is investigated numerically. A previously developed method for solving the two-dimensional electrostatic Vlasov equation, Fourier transformed in velocity space, for mobile electrons and with ions fixed in space, is generalised to the fully electromagnetic, two-dimensional Vlasov–Maxwell system for mobile electrons and ions. Special attention is paid to the conservation of the divergences of the electric and magnetic fields in the Maxwell equations. The Maxwell equations are rewritten, by means of the Lorentz potentials, in a form which conserves these divergences. Linear phenomena are investigated numerically and compared with theory and with previous numerical results.

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