Optimized sixth-order monotonicity-preserving scheme by nonlinear spectral analysis

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	Optimized sixth-order monotonicity-preserving scheme by nonlinear spectral analysis
	Li XL(李新亮); Leng Y(冷岩); He ZW(何志伟)
刊名	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
	2013-10-30
通讯作者邮箱	lixl@imech.ac.cn
卷号	73 期号:6 页码:560–577
关键词	nonlinear spectral analysis monotonicity-preserving optimization shock-capturing schemes dissipation dispersion
ISSN号	0271-2091
通讯作者	Li, XL (reprint author), Chinese Acad Sci, LHD Inst Mech, Beijing 100190, Peoples R China
产权排序	[Li, Xinliang; Leng, Yan; He Zhiwei] Chinese Acad Sci, LHD Inst Mech, Beijing 100190, Peoples R China
中文摘要	In 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.
学科主题	流体力学 ; 计算流体力学
分类号	Q3
收录类别	SCI ; EI
资助信息	Thanks 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.
原文出处	http://dx.doi.org/10.1002/fld.3812
语种	英语
WOS记录号	WOS:000324017500003
公开日期	2013-09-21
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/47441]
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	Li XL,Leng Y,He ZW. 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.(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.