| A 5th order monotonicity-preserving upwind compact difference scheme | |
He ZW(何志伟) ; Li XL(李新亮); Fu DX(傅德薰); Ma YW(马延文); Li, XL (reprint author), Chinese Acad Sci, Key Lab High Temp Gas Dynam, Inst Mech, Beijing 100190, Peoples R China
| |
| Source Publication | Science China, Physics, Mechanics & Astronomy
 |
| 2011 | |
| Volume | 54Issue:3Pages:511-522 |
| ISSN | 1674-7348 |
| Abstract | 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. |
| Keyword | 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 |
| Subject Area | Physics |
| DOI | 10.1007/s11433-010-4220-x |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000289006600023 |
| WOS Keyword | HYPERBOLIC CONSERVATION-LAWS ; ESSENTIALLY NONOSCILLATORY SCHEMES ; SHOCK-TURBULENCE INTERACTION ; HIGH-RESOLUTION SCHEMES ; HIGH-ORDER ; EFFICIENT IMPLEMENTATION ; FLOW |
| WOS Research Area | Physics |
| WOS Subject | Physics, Multidisciplinary |
| Funding Organization | 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. |
| Department | LHD可压缩湍流 |
| Classification | 二类/Q3 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/45177 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Li, XL (reprint author), Chinese Acad Sci, Key Lab High Temp Gas Dynam, Inst Mech, Beijing 100190, Peoples R China |
| Recommended Citation 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,&Li, XL .(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. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| SCI-J2011102.pdf（725KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-ND | View Download | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment