### Abstract

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

Pages | 98-125 |

Number of pages | 28 |

Journal | Journal of Computational Physics |

Volume | 181 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Sep 2002 |

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### Keywords

- Vlasov equation
- Fourier method
- outflow boundary

### Cite this

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**Outflow boundary conditions for the Fourier transformed two-dimensional Vlasov equation.** / Eliasson, Bengt.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Outflow boundary conditions for the Fourier transformed two-dimensional Vlasov equation

AU - Eliasson, Bengt

PY - 2002/9/1

Y1 - 2002/9/1

N2 - 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 velocity space, and solving the resulting equation numerically. Particular 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 removed, representing a dissipative loss mechanism. Thereby the so-called recurrence phenomenon is reduced. In the present article, a previously developed method in one spatial and one velocity dimension plus time is generalised to two spatial and two velocity dimensions plus time. Different high-order methods are used for computing derivatives as well as for the time stepping.

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 velocity space, and solving the resulting equation numerically. Particular 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 removed, representing a dissipative loss mechanism. Thereby the so-called recurrence phenomenon is reduced. In the present article, a previously developed method in one spatial and one velocity dimension plus time is generalised to two spatial and two velocity dimensions plus time. Different high-order methods are used for computing derivatives as well as for the time stepping.

KW - Vlasov equation

KW - Fourier method

KW - outflow boundary

UR - http://www.sciencedirect.com/science/article/pii/S0021999102971214

U2 - 10.1006/jcph.2002.7121

DO - 10.1006/jcph.2002.7121

M3 - Article

VL - 181

SP - 98

EP - 125

JO - Journal of Computational Physics

T2 - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

IS - 1

ER -