An Analysis of Discretization for Solutions of the Diffusion Equation Using Mesh Centered Finite Differences(1)XYZ Geometry
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- FLETCHER John. Keith
- O-arai Engineering Center, Power Reactor and Nuclear Fuel Development Corporation
書誌事項
- タイトル別名
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- An Analysis of Discretization for Solutions of the Diffusion Equation Using Mesh Centered Finite Differences (I) XYZ Geometry.
- Analysis of Discretization for Solution
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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
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- Journal of Nuclear Science and Technology(日本原子力学会英文論文誌)
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Journal of Nuclear Science and Technology(日本原子力学会英文論文誌) 35 (11), 759-767, 1998
一般社団法人 日本原子力学会
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詳細情報 詳細情報について
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- CRID
- 1390001204094641920
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- NII論文ID
- 10002080278
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- NII書誌ID
- AA00703720
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- COI
- 1:CAS:528:DyaK1MXksVaqsA%3D%3D
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- ISSN
- 18811248
- 00223131
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- NDL書誌ID
- 4607761
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可