An implicit scheme for ohmic dissipation with adaptive mesh refinement
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<jats:title>Abstract</jats:title> <jats:p>An implicit method for the ohmic dissipation is proposed. The proposed method is based on the Crank–Nicolson method and exhibits second-order accuracy in time and space. The proposed method has been implemented in the SFUMATO adaptive mesh refinement (AMR) code. The multigrid method on the grids of the AMR hierarchy converges the solution. The convergence is fast but depends on the time step, resolution, and resistivity. Test problems demonstrated that decent solutions are obtained even at the interface between fine and coarse grids. Moreover, the solution obtained by the proposed method shows good agreement with that obtained by the explicit method, which required many time steps. The present method reduces the number of time steps, and hence the computational costs, as compared with the explicit method.</jats:p>
収録刊行物
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- Publications of the Astronomical Society of Japan
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Publications of the Astronomical Society of Japan 63 (2), 317-323, 2011
Tokyo : Astronomical Society of Japan
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詳細情報 詳細情報について
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- CRID
- 1520291855655947520
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- NII論文ID
- 10029036951
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- NII書誌ID
- AA1082896X
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- ISSN
- 00046264
- 2053051X
- http://id.crossref.org/issn/00046264
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- NDL書誌ID
- 11061653
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- 本文言語コード
- en
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- NDL 雑誌分類
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- ZM33(科学技術--宇宙科学)
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- データソース種別
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- NDL
- Crossref
- CiNii Articles
- KAKEN