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有限要素法による翼まわりのナビエ・ストークス流れの数値解法: ブロック三重対角行列の性質の積極的利用
https://jaxa.repo.nii.ac.jp/records/43380
https://jaxa.repo.nii.ac.jp/records/43380b5f17cf4-1bf3-4347-ad40-cf85b1410b5f
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
nalsp0010051.pdf (581.7 kB)
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| Item type | テクニカルレポート / Technical Report(1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2015-03-26 | |||||||||
| タイトル | ||||||||||
| タイトル | 有限要素法による翼まわりのナビエ・ストークス流れの数値解法: ブロック三重対角行列の性質の積極的利用 | |||||||||
| 言語 | ||||||||||
| 言語 | jpn | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_18gh | |||||||||
| 資源タイプ | technical report | |||||||||
| その他のタイトル（英） | ||||||||||
| その他のタイトル | Finite Element Solution of Navier-Stokes Flow around Aerofoils - Active Use of Block Tridiagonal Matrix - | |||||||||
| 著者 |
重見, 仁
× 重見, 仁
× Shigemi, Masashi
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| 著者所属 | ||||||||||
| 航空宇宙技術研究所 | ||||||||||
| 著者所属（英） | ||||||||||
| en | ||||||||||
| National Aerospace Laboratory | ||||||||||
| 出版者 | ||||||||||
| 出版者 | 航空宇宙技術研究所 | |||||||||
| 出版者（英） | ||||||||||
| 出版者 | National Aerospace Laboratory(NAL) | |||||||||
| 書誌情報 |
航空宇宙技術研究所特別資料 en : Special Publication of National Aerospace Laboratory SP-10 巻 10, p. 313-319, 発行日 1989-11 |
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| 抄録（英） | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | A finite element method which is designed to solve the incompressible Navier-Stokes equations through the application of the penalty function method has been proved to be robust and reliable. A shortcoming of this approach is its expensiveness; it requires long computation time and large memory area. This is because a large system of linear equations has to be solved repeatedly in this method. This system of linear equations has a band structure, and structure as a block tridiagonal matrix. An efficient method to solve it is shown in this paper. In this new method all elements of coefficient matrix are not evaluated at a stretch, but evaluated block by block. Since all block matrices, which are subsets of the global coefficient matrix, share the same memory area and stored in it one by one, the memory area necessary becomes small. The basic method applied here to solve the system of linear equations is the LU-decomposition of the coefficient matrices and subsequent forward and backward substitutions. Such operations as the LU-decomposition, forward substitution and backward substitution are conducted not in the element level but block matrix level. This method gives theoretically exact solution. To improve the efficiency of the solution, it is possible to introduce an approximation into the procedure when flows around a thin obstacle such as an aerofoil are concerned. In such problems, some block matrices, which are produced in the course of the LU-decomposition of the block tri-diagonal matrix have a characteristic feature of having a number of virtually zero elements distributed regularly. Since this phenomenon can be explained reasonably and expected to occur generally, we can make use of it to built an approximate procedure. Omission of both evaluation of the elements which are expected zero and all operations involving these elements brings good saving to the computation time. | |||||||||
| ISSN | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 0289-260X | |||||||||
| 書誌レコードID | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AN10097345 | |||||||||
| 資料番号 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | 資料番号: NALSP0010051 | |||||||||
| レポート番号 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | レポート番号: NAL SP-10 | |||||||||
