| 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
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| 发表期刊 | Science China, Physics, Mechanics & Astronomy
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| 2011
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| 卷号 | 54期号:3页码:511-522 |
| ISSN | 1674-7348
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| 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. |
| 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
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| 学科领域 | Physics
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| DOI | 10.1007/s11433-010-4220-x
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| URL | 查看原文
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| 收录类别 | SCI
; EI
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| 语种 | 英语
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| WOS记录号 | WOS:000289006600023
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| 关键词[WOS] | HYPERBOLIC CONSERVATION-LAWS
; ESSENTIALLY NONOSCILLATORY SCHEMES
; SHOCK-TURBULENCE INTERACTION
; HIGH-RESOLUTION SCHEMES
; HIGH-ORDER
; EFFICIENT IMPLEMENTATION
; FLOW
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| WOS研究方向 | Physics
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| WOS类目 | Physics, Multidisciplinary
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| 项目资助者 | 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.
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| 课题组名称 | LHD可压缩湍流
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| 论文分区 | 二类/Q3
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/45177
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| 专题 | 高温气体动力学国家重点实验室
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| 通讯作者 | Li, XL (reprint author), Chinese Acad Sci, Key Lab High Temp Gas Dynam, Inst Mech, Beijing 100190, Peoples R China |
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.
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| 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.
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| 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.
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