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タイトル
  • en A force evaluation free method to N-body problems: Binary interaction approximation
作成者
アクセス権 open access
権利情報
  • en © 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
  • https://creativecommons.org/licenses/by-nc-nd/4.0/
  • en Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
主題
  • Other en N-body problem
  • Other en Binary interaction approximation (BIA)
  • Other en Error analysis
  • Other en Energy error correction
  • Other en Pair-wise variable step size
  • Other en Parallel computation
  • Other en Tree method
  • Other en PPPM
  • NDC 427
内容注記
  • Abstract en We recently proposed the binary interaction approximation (BIA) to N-body problems, which, in principle, excludes the interparticle force evaluation if the exact solutions are known for the corresponding two-body problems such as the Coulombic and gravitational interactions. In this article, a detailed introduction to the BIA is given, including the error analysis to give the expressions for the approximation error in the total angular momentum and the total energy of the entire system. It is shown that, although the energy conservation of the BIA scheme is worse than the 4th order Hermite integrator (HMT4) for similar elapsed, or the wall-clock times, the individual errors in position and in velocity are much better than HMT4. The energy error correction scheme to the BIA is also introduced that does not deteriorate the individual errors in position and in velocity. It is suggested that the BIA scheme is applicable to the tree method, the particle–mesh (PM), and the particle–particle-particle–mesh (PPPM) schemes simply by replacing the force evaluation and the conventional time integrator with the BIA scheme.
出版者 en Elsevier
日付
    Issued2016-03
言語
  • eng
資源タイプ journal article
出版タイプ AM
資源識別子 HDL http://hdl.handle.net/2115/68384
関連
  • isVersionOf DOI https://doi.org/10.1016/j.cnsns.2015.08.021
収録誌情報
    • PISSN 1007-5704
      • en Communications in Nonlinear Science and Numerical Simulation
      • 巻32 開始ページ273 終了ページ284
ファイル
コンテンツ更新日時 2023-07-26