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MmB-A New Class of Accurate High Resolution Schemes for Conservation Laws in Two Dimensions
https://jaxa.repo.nii.ac.jp/records/31219
https://jaxa.repo.nii.ac.jp/records/312199713a19d-aa36-41ba-95f3-26a91f3d66c9
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
SA0033464.pdf (1.3 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2015-03-26 | |||||||||
| タイトル | ||||||||||
| タイトル | MmB-A New Class of Accurate High Resolution Schemes for Conservation Laws in Two Dimensions | |||||||||
| 言語 | en | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Difference scheme | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | TVD | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | MmB | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | flux limiter | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | departmental bulletin paper | |||||||||
| 著者 |
Haumo, Wu
× Haumo, Wu
× Shuli, Yang
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| 著者所属（英） | ||||||||||
| en | ||||||||||
| Vititing Professor; present address, Computing Center, Academia Sinica | ||||||||||
| 著者所属（英） | ||||||||||
| en | ||||||||||
| Vititing Professor; present address, Computing Center, Academia Sinica | ||||||||||
| 出版者 | ||||||||||
| 出版者 | 宇宙科学研究所 | |||||||||
| 出版者（英） | ||||||||||
| 出版者 | Institute of Space and Astronautical Science | |||||||||
| 書誌情報 |
en : The Institute of Space and Astronautical Science report. S.P. : The Proceedings of the Symposium on Mechanics for Space Flight 1989 巻 12, p. 115-146, 発行日 1990-03 |
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| 抄録（英） | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | In this paper we present the MmB schemes, which preserve the local maximum and minimum bounds of the initial data in the smallest union of mesh elements of previous time step containing the domain of dependence of the solution on the mesh element with center at point P under consideration. In 1-D, the MmB schemes are almost identical with TVD schemes. As well-known, there is no second-oder TVD scheme in 2-D, nevertheless, we present here two classes of 2-D second-order accurate MmB schmes. It is proved that 1-D discrete MmB (or TVD) and 1-D semi-discrete TVD schemes may have second-order accuracy at (nonsonic) critical points, but cannot be of uniformly second-order accurate in the whole neighbourhood of the critical point. New accurate high resolution flux limiters are suggested. Numerical results for 1-D and 2-D test problems are given. | |||||||||
| ISSN | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 0288-433X | |||||||||
| 書誌レコードID | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AA10455137 | |||||||||
| 資料番号 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | 資料番号: SA0033464000 | |||||||||
