書誌事項
- タイトル別名
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- A new formulation by the finite element method and finite difference method for the one-dimensional convection-diffusion equation. Approach by the error analysis technique.
- 1ジゲン イリュウ カクサン ホウテイシキ ノ ユウゲン ヨウソホウ オヨビ
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説明
The unstationary convection-diffusion equation is one of the most important equations in heat and fluid analysis. The new effective numerical nethod was proposed for this equation by an error analysis technique based on the Fourier series. First, the conventional numerical methods of Finite-element method (FEM) and Finite-difference method (FDM), were revised by an error analysis technique combined with an analytical solution. Then, all of these numerical methods were evaluated from the standpoints of phase error and dissipation error. Twelve conventional methods were investigated (3 by FEM and 9 by FDM) and five methods were newly developed (1 by FEM and 4 by FDM). There were eight implicit methods and nine explicit methods. The moditied Galerkin method was proven to be the most efficient numerical method among these 17 methods. We confirmed this result through several numerical experiments.
収録刊行物
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- 日本機械学会論文集B編
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日本機械学会論文集B編 56 (522), 441-447, 1990
一般社団法人 日本機械学会
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キーワード
詳細情報 詳細情報について
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- CRID
- 1390001205602378368
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- NII論文ID
- 130004219306
- 110002388856
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- NII書誌ID
- AN00187441
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- ISSN
- 18848346
- 03875016
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- NDL書誌ID
- 3648112
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- 本文言語コード
- ja
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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