On the Numerical Accuracy of Some Finite Difference Schemes for Solving the Boudary-Layer Equations

Material type: 文書・図像類

Author: 松野, 謙一ほか

Publisher: 航空宇宙技術研究所

Publication date: 1981-01

Material Format: Digital

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Note (General)：: The numerical accuracy is investigated for two second-order accurate finite difference schemes: a predictor-corrector form of the Crank-Nicolson schem...

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Material Type: 文書・図像類
Title: On the Numerical Accuracy of Some Finite Difference Schemes for Solving the Boudary-Layer Equations
Author/Editor: 松野, 謙一
廣瀬, 直喜
藤田, 真人
河村, 龍馬
MATSUNO, Ken-ichi
HIROSE, Naoki
FUJITA, Makoto
KAWAMURA, Ryuma
Author Heading: 松野, 謙一
廣瀬, 直喜
藤田, 真人
河村, 龍馬
MATSUNO, Ken-ichi
HIROSE, Naoki
FUJITA, Makoto
KAWAMURA, Ryuma
Publication, Distribution, etc.: 航空宇宙技術研究所
Publication Date: 1981-01
Publication Date (W3CDTF): 1981-01
Alternative Title: 境界層方程式に対する差分法の実精度について
Periodical title: 航空宇宙技術研究所報告 = Technical Report of National Aerospace Laboratory TR-646
No. or year of volume/issue: 646
Volume: 646
Pages: 19-
ISSN (Periodical Title): ISSN : 0389-4010
Text Language Code: eng
Target Audience: 一般
Note (General): The numerical accuracy is investigated for two second-order accurate finite difference schemes: a predictor-corrector form of the Crank-Nicolson scheme and the DuFort-Frankel scheme, applied to the Cebeci-transformed two-dimensional incompressible boundary layer equations. The relation between the absolute error of the velocity gradient at the wall and the step width of the finite difference calculation was obtained for the Howarth problem. The result shows that the second-order accuracy is numerically realized when a coupled algorithm for the equations of continuity and momentum is used in a predictor-corrector form of the Crank-Nicolson scheme. The DuFort-Frankel scheme, which is explicit, also maintains the second-order accuracy when a sufficiently small streamwise step width is taken. Comparisons of results for the numerical accuracy and the computation speed with those of the well-known Keller’s Box scheme are also discussed.
資料番号: NALTR0646000
レポート番号: NAL TR-646
Source: https://jaxa.repo.nii.ac.jp/?action=repository_action_common_download&item_id=44901&item_no=1&attribute_id=31&file_no=1
https://jaxa.repo.nii.ac.jp/?action=repository_action_common_download&item_id=44901&item_no=1&attribute_id=31&file_no=1
Access Restrictions: 限定公開
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 宇宙航空研究開発機構 : 宇宙航空研究開発機構リポジトリ