### Abstract

Language | English |
---|---|

Pages | 501-522 |

Number of pages | 22 |

Journal | Journal of Computational Physics |

Volume | 190 |

Issue number | 2 |

DOIs | |

Publication status | Published - 20 Sep 2003 |

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### Keywords

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

### Cite this

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**Numerical modelling of the two-dimensional Fourier transformed Vlasov–Maxwell system.** / Eliasson, Bengt.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Numerical modelling of the two-dimensional Fourier transformed Vlasov–Maxwell system

AU - Eliasson, Bengt

PY - 2003/9/20

Y1 - 2003/9/20

N2 - 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.

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.

KW - Vlasov simulations

KW - Vlasov-Maxwell system

KW - divergence problem

KW - Maxwell equation

UR - http://www.sciencedirect.com/science/article/pii/S002199910300295X

U2 - 10.1016/S0021-9991(03)00295-X

DO - 10.1016/S0021-9991(03)00295-X

M3 - Article

VL - 190

SP - 501

EP - 522

JO - Journal of Computational Physics

T2 - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

IS - 2

ER -