An Analysis of Discretization for Solutions of the Diffusion Equation Using Mesh Centered Finite Differences (I) XYZ Geometry

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In this paper eigenvalue mesh dependence is investigated for mesh centered finite difference approximations to the diffusion equation. The well known mesh squared variation of eigenvalue is quantified for XYZ geometry. The second part of the paper describes a method of significantly reducing mesh errors in diffusion theory finite difference codes. Essentially approximations to higher derivatives involving flux values at mesh points are used to generate a source which eliminates second order errors. The approach has been implemented in XYZ geometry and after a description of the technique results are presented for a series of test problems showing that almost zero mesh values can be obtained with the correction process.

収録刊行物

  • Journal of nuclear science and technology

    Journal of nuclear science and technology 35(11), 759-767, 1998-11-25

    Atomic Energy Society of Japan

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各種コード

  • NII論文ID(NAID)
    10002080278
  • NII書誌ID(NCID)
    AA00703720
  • 本文言語コード
    ENG
  • 資料種別
    ART
  • ISSN
    00223131
  • NDL 記事登録ID
    4607761
  • NDL 雑誌分類
    ZM35(科学技術--物理学)
  • NDL 請求記号
    Z53-A460
  • データ提供元
    CJP書誌  NDL  J-STAGE 
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