IMECH-IR  > 高温气体动力学国家重点实验室
Optimized sixth-order monotonicity-preserving scheme by nonlinear spectral analysis
Li XL(李新亮); Leng Y(冷岩); He ZW(何志伟); Li, XL (reprint author), Chinese Acad Sci, LHD Inst Mech, Beijing 100190, Peoples R China
Source PublicationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
2013-10-30
Volume73Issue:6Pages:560–577
ISSN0271-2091
AbstractIn this paper, sixth-order monotonicity-preserving optimized scheme (OMP6) for the numerical solution of conservation laws is developed on the basis of the dispersion and dissipation optimization and monotonicity-preserving technique. The nonlinear spectral analysis method is developed and is used for the purpose of minimizing the dispersion errors and controlling the dissipation errors. The new scheme (OMP6) is simple in expression and is easy for use in CFD codes. The suitability and accuracy of this new scheme have been tested through a set of one-dimensional, two-dimensional, and three-dimensional tests, including the one-dimensional Shu-Osher problem, the two-dimensional double Mach reflection, and the Rayleigh-Taylor instability problem, and the three-dimensional direct numerical simulation of decaying compressible isotropic turbulence. All numerical tests show that the new scheme has robust shock capturing capability and high resolution for the small-scale waves due to fewer numerical dispersion and dissipation errors. Moreover, the new scheme has higher computational efficiency than the well-used WENO schemes.
KeywordNonlinear Spectral Analysis Monotonicity-preserving Optimization Shock-capturing Schemes Dissipation Dispersion
Subject Area流体力学 ; 计算流体力学
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000324017500003
Funding OrganizationThanks to Profs Dexun Fu and Yanwen Ma in the Institute of Mechanics, CAS for the advices of numerical methods. Thanks to Prof Yuxin Ren in Tsinghua University for the helpful discussion on the optimization method. This work was supported by the National Natural Science Foundation of China (Nos. 10632050, 10872205, 11072248), the 973 project (Grant Nos. 2009CB724100), the 863 program (No. 2012AA01A304), and project of CAS INFO-115-B0. The authors thank National Supercomputing Center in Tianjin (NSCC-TJ), Supercomputing Center of Chinese Academy of Sciences (SCCAS) and Shanghai Supercomputer Center (SSC) for providing computer time.
DepartmentLHD可压缩湍流
ClassificationQ3
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/47441
Collection高温气体动力学国家重点实验室
Corresponding AuthorLi, XL (reprint author), Chinese Acad Sci, LHD Inst Mech, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Li XL,Leng Y,He ZW,et al. Optimized sixth-order monotonicity-preserving scheme by nonlinear spectral analysis[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2013,73(6):560–577.
APA Li XL,Leng Y,He ZW,&Li, XL .(2013).Optimized sixth-order monotonicity-preserving scheme by nonlinear spectral analysis.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,73(6),560–577.
MLA Li XL,et al."Optimized sixth-order monotonicity-preserving scheme by nonlinear spectral analysis".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 73.6(2013):560–577.
Files in This Item: Download All
File Name/Size DocType Version Access License
IMCAS-J2013-251.pdf(1159KB) 开放获取LicenseView Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Li XL(李新亮)]'s Articles
[Leng Y(冷岩)]'s Articles
[He ZW(何志伟)]'s Articles
Baidu academic
Similar articles in Baidu academic
[Li XL(李新亮)]'s Articles
[Leng Y(冷岩)]'s Articles
[He ZW(何志伟)]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Li XL(李新亮)]'s Articles
[Leng Y(冷岩)]'s Articles
[He ZW(何志伟)]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: IMCAS-J2013-251.pdf
Format: Adobe PDF
This file does not support browsing at this time
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.