A non-oscillatory and conservative semi-Lagrangian scheme with fourth-degree polynomial interpolation for solving the Vlasov equation
書誌事項
- 公開日
- 2012-05
- 資源種別
- journal article
- 権利情報
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- https://www.elsevier.com/tdm/userlicense/1.0/
- https://www.elsevier.com/legal/tdmrep-license
- DOI
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- 10.1016/j.cpc.2012.01.011
- 公開者
- Elsevier BV
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説明
Abstract A conservative semi-Lagrangian scheme for the numerical solution of the Vlasov equation is developed based on the fourth-degree polynomial interpolation. Then, a numerical filter is implemented that preserves positivity and non-oscillatory. The numerical results of both one-dimensional linear advection and two-dimensional Vlasov–Poisson simulations show that the numerical diffusion with the fourth-degree polynomial interpolation is suppressed more than with the cubic polynomial interpolation. It is also found that inherent conservation properties of the Vlasov equation can be improved by combining numerical fluxes of the upwind-biased and central fourth-degree polynomial interpolations.
収録刊行物
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- Computer Physics Communications
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Computer Physics Communications 183 (5), 1094-1100, 2012-05
Elsevier BV
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詳細情報 詳細情報について
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- CRID
- 1360002215879920768
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- ISSN
- 00104655
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- 資料種別
- journal article
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- データソース種別
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- KAKEN
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