2009年12月
A numerical method for solving the Vlasov-Poisson equation based on the conservative IDO scheme
JOURNAL OF COMPUTATIONAL PHYSICS
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- 巻
- 228
- 号
- 23
- 開始ページ
- 8919
- 終了ページ
- 8943
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.jcp.2009.09.008
- 出版者・発行元
- ACADEMIC PRESS INC ELSEVIER SCIENCE
We have applied the conservative form of the Interpolated Differential Operator (IDO-CF) scheme in order to solve the Vlasov-Poisson equation, which is one of the multi-moment schemes. Through numerical tests of the nonlinear Landau damping and two-stream instability, we compared the present scheme with other schemes such as the Spline and CIP ones. We mainly investigated the conservation property of the L1-norm, energy, entropy and phase space area for each scheme, and demonstrated that the IDO-CF scheme is capable of performing stable long time scale simulation while maintaining high accuracy. The scheme is based on an Eulerian approach, and it can thus be directly used for Fokker-Planck, high dimensional Vlasov-Poisson and also guiding-center drift simulations, aiming at particular problems of plasma physics. The benchmark tests for such simulations have shown that the IDO-CF scheme is superior in keeping the conservation properties without causing serious phase error. (C) 2009 Elsevier Inc. All rights reserved.
- リンク情報
- ID情報
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- DOI : 10.1016/j.jcp.2009.09.008
- ISSN : 0021-9991
- eISSN : 1090-2716
- J-Global ID : 200902241896466258
- Web of Science ID : WOS:000271671100023