A 5th order monotonicity-preserving upwind compact difference scheme
文献类型：期刊论文
| 作者 | He ZW(何志伟) ; Li XL(李新亮); Fu DX(傅德薰); Ma YW(马延文)
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| 刊名 | Science China, Physics, Mechanics & Astronomy
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| 出版日期 | 2011 |
| 卷号 | 54期号:3页码:511-522 |
| 通讯作者邮箱 | lixl@imech.ac.cn |
| 关键词 | Upwind Compact Scheme Monotonicity-Preserving Compressible Flows Shock Capturing Scheme Hyperbolic Conservation-Laws Essentially Nonoscillatory Schemes Shock-Turbulence Interaction High-Resolution Schemes High-Order Efficient Implementation Flow |
| ISSN号 | 1674-7348 |
| 产权排序 | [He ZhiWei; Li XinLiang] Chinese Acad Sci, Key Lab High Temp Gas Dynam, Inst Mech, Beijing 100190, Peoples R China; [Fu DeXun; Ma YanWen] Chinese Acad Sci, State Key Lab Nonlinear Mech, Inst Mech, Beijing 100190, Peoples R China |
| 通讯作者 | Li, XL (reprint author), Chinese Acad Sci, Key Lab High Temp Gas Dynam, Inst Mech, Beijing 100190, Peoples R China |
| 中文摘要 | Based on an upwind compact difference scheme and the idea of monotonicity-preserving, a 5th order monotonicity-preserving upwind compact difference scheme (m-UCD5) is proposed. The new difference scheme not only retains the advantage of good resolution of high wave number but also avoids the Gibbs phenomenon of the original upwind compact difference scheme. Compared with the classical 5th order WENO difference scheme, the new difference scheme is simpler and small in diffusion and computation load. By employing the component-wise and characteristic-wise methods, two forms of the new difference scheme are proposed to solve the N-S/Euler equation. Through the Sod problem, the Shu-Osher problem and the two-dimensional Double Mach Reflection problem, numerical solutions have demonstrated this new scheme does have a good resolution of high wave number and a robust ability of capturing shock waves, leading to a conclusion that the new difference scheme may be used to simulate complex flows containing shock waves. |
| 学科主题 | Physics |
| 分类号 | 二类/Q3 |
| 类目[WOS] | Physics, Multidisciplinary |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | HYPERBOLIC CONSERVATION-LAWS ; ESSENTIALLY NONOSCILLATORY SCHEMES ; SHOCK-TURBULENCE INTERACTION ; HIGH-RESOLUTION SCHEMES ; HIGH-ORDER ; EFFICIENT IMPLEMENTATION ; FLOW |
| 收录类别 | SCI ; EI |
| 资助信息 | Thanks go to the Supercomputing Center of Chinese Academy of Sciences (SCCAS) and Shanghai Supercomputer Center (SSC) for providing the computing time. This work was supported by the National Natural Science Foundation of China (Grant Nos. 110632050, 10872205), the National Basic Research Program of China (Grant No. 2009CB724100), and Projects of CAS INFO-115-B01. |
| 原文出处 | http://dx.doi.org/10.1007/s11433-010-4220-x |
| 语种 | 英语 |
| WOS记录号 | WOS:000289006600023 |
| 公开日期 | 2012-04-01 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/45177]  |
| 专题 | 力学研究所_高温气体动力学国家重点实验室 |
| 推荐引用方式 GB/T 7714 | He ZW,Li XL,Fu DX,et al. A 5th order monotonicity-preserving upwind compact difference scheme[J]. Science China, Physics, Mechanics & Astronomy,2011,54(3):511-522. |
| APA | 何志伟,李新亮,傅德薰,&马延文.(2011).A 5th order monotonicity-preserving upwind compact difference scheme.Science China, Physics, Mechanics & Astronomy,54(3),511-522. |
| MLA | 何志伟,et al."A 5th order monotonicity-preserving upwind compact difference scheme".Science China, Physics, Mechanics & Astronomy 54.3(2011):511-522. |
入库方式： OAI收割
来源：力学研究所
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