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High-order integration scheme for relativistic charged particle motion in magnetized plasmas with volume preserving properties
https://repo.qst.go.jp/records/48349
https://repo.qst.go.jp/records/48349e919dd62-a369-4e71-8600-b9d5a411fca2
Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2017-10-05 | |||||
タイトル | ||||||
タイトル | High-order integration scheme for relativistic charged particle motion in magnetized plasmas with volume preserving properties | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
アクセス権 | ||||||
アクセス権 | metadata only access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
著者 |
松山, 顕之
× 松山, 顕之× 古川, 勝× 松山 顕之 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A numerical algorithm for solving full gyro orbit of relativistic charged particle motion in magnetized plasmas is presented. The algorithm developed here achieves the following features simultaneously. (1) The time advancement is explicit, and (2) the integration is performed with respect to the observation time in a laboratory frame. (3) It is suitable for accurate long time integration with its volume preserving properties in the phase space. (4) The algorithm can properly treat the E × B drift velocity in electromagnetic fields for large relativistic factors, and (5) can be extended to arbitrary high orders with the aid of symmetric composition methods. Because our algorithm is formulated in the Lorentz covariant form, explicit conservation of the Minkowski norm is not assumed. Nevertheless, no secular growth of the numerical errors in the norm does occur, and its influence can be minimized up to the levels of round-off errors when a high-order scheme is applied. Numerical results are compared with explicit and implicit Runge–Kutta methods. The numerical accuracy and the computational efficiency are discussed for long time integration in toroidal magnetic field configuration. | |||||
書誌情報 |
Computer Physics Communications 巻 220, p. 285-296, 発行日 2017-08 |
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DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1016/j.cpc.2017.08.004 | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | http://www.sciencedirect.com/science/article/pii/S0010465517302473 | |||||
関連名称 | http://www.sciencedirect.com/science/article/pii/S0010465517302473 |