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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 PublicationScience China, Physics, Mechanics & Astronomy
2011
Volume54Issue:3Pages:511-522
ISSN1674-7348
AbstractBased 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.
KeywordUpwind 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 AreaPhysics
DOI10.1007/s11433-010-4220-x
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000289006600023
WOS KeywordHYPERBOLIC CONSERVATION-LAWS ; ESSENTIALLY NONOSCILLATORY SCHEMES ; SHOCK-TURBULENCE INTERACTION ; HIGH-RESOLUTION SCHEMES ; HIGH-ORDER ; EFFICIENT IMPLEMENTATION ; FLOW
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
Funding OrganizationThanks 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.
DepartmentLHD可压缩湍流
Classification二类/Q3
Citation statistics
Cited Times:13[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/45177
Collection高温气体动力学国家重点实验室
Corresponding AuthorLi, 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.
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