Nonlinear spectral-like schemes for hybrid schemes

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	Nonlinear spectral-like schemes for hybrid schemes
	He, ZW; Li XL(李新亮); Liang X(梁贤)
刊名	SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
	2014-04
通讯作者邮箱	lixl@imech.ac.cn
卷号	57 期号:4 页码:753-763
关键词	group velocity control hybrid WENO shockwave-turbulent boundary layer interaction direct numerical simulation
ISSN号	1674-7348
通讯作者	Li, XL (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China.
产权排序	[He ZhiWei] China North Vehicle Res Inst, Beijing 100072, Peoples R China; [Li XinLiang; Liang Xian] Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
合作状况	国内
中文摘要	In spectral-like resolution-WENO hybrid schemes, if the switch function takes more grid points as discontinuity points, the WENO scheme is often turned on, and the numerical solutions may be too dissipative. Conversely, if the switch function takes less grid points as discontinuity points, the hybrid schemes usually are found to produce oscillatory solutions or just to be unstable. Even if the switch function takes less grid points as discontinuity points, the final hybrid scheme is inclined to be more stable, provided the spectral-like resolution scheme in the hybrid scheme has moderate shock-capturing capability. Following this idea, we propose nonlinear spectral-like schemes named weighted group velocity control (WGVC) schemes. These schemes show not only high-resolution for short waves but also moderate shock capturing capability. Then a new class of hybrid schemes is designed in which the WGVC scheme is used in smooth regions and the WENO scheme is used to capture discontinuities. These hybrid schemes show good resolution for small-scales structures and fine shock-capturing capabilities while the switch function takes less grid points as discontinuity points. The seven-order WGVC-WENO scheme has also been applied successfully to the direct numerical simulation of oblique shock wave-turbulent boundary layer interaction.
学科主题	Physics
分类号	二类/Q3
收录类别	SCI ; EI
资助信息	Thanks to Profs. FU DeXun and MA YanWen for helpful discussions. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11372330 and 11072248), the National High Technology Research and Development Program of China (Grant No. 2012AA01A304) and the Chinese Academy of Sciences Program (Grant Nos. KJCX2-EW-J01 and XXH12503-02-02-04). The authors thank National Supercomputer Center in Tianjin (NSCC), 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/10.1007/s11433-013-5234-y
语种	英语
WOS记录号	WOS:000332978500023
公开日期	2014-05-09
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/48756]
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	He, ZW,Li XL,Liang X. Nonlinear spectral-like schemes for hybrid schemes[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2014,57(4):753-763.
APA	He, ZW,Li XL,&Liang X.(2014).Nonlinear spectral-like schemes for hybrid schemes.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,57(4),753-763.
MLA	He, ZW,et al."Nonlinear spectral-like schemes for hybrid schemes".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 57.4(2014):753-763.